{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Noah, Victoria, Ava, Lily, Daniel, Alexander, and Matthew. Noah said that Matthew is a knight and Victoria is a knight. \"Lily is a knave if and only if Matthew is a knight,\" Victoria mentioned. In a statement by Ava: \"Matthew is a knight or Victoria is a knight\". Lily was heard saying, \"If Victoria is a knave then Matthew is a knave\". Daniel commented, \"Alexander is not a knight\". Alexander stated, \"Noah is a knight or Ava is a knave\". \"Ava is a knave\" - Matthew. So who is a knight and who is a knave?", "names": ["Noah", "Victoria", "Ava", "Lily", "Daniel", "Alexander", "Matthew"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, true, false, false], "solution_text": "Noah is a knave, Victoria is a knight, Ava is a knight, Lily is a knight, Daniel is a knight, Alexander is a knave, and Matthew is a knave.", "solution_text_format": "(1) Noah is a knave\n(2) Victoria is a knight\n(3) Ava is a knight\n(4) Lily is a knight\n(5) Daniel is a knight\n(6) Alexander is a knave\n(7) Matthew is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Noah is a knight. No contradiction is found in their claim that Matthew is a knight and Victoria is a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that Ava is a knave.", "Ava cannot be a knight, because this would contradict the claim of Matthew that Ava is a knave.", "Ava cannot be a knave, because this would contradict the false claim of their own that Matthew is a knight or Victoria is a knight.", "We have exhausted all possibilities for Ava, so let us go back and reconsider Matthew.", "Matthew cannot be a knave, because this would contradict the claim of Noah that Matthew is a knight and Victoria is a knight.", "We have exhausted all possibilities for Matthew, so let us go back and reconsider Noah.", "Assume Noah is a knave. No contradiction is found in their false claim that Matthew is a knight and Victoria is a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that Ava is a knave.", "Ava cannot be a knight, because this would contradict the claim of Matthew that Ava is a knave.", "Ava cannot be a knave, because this would contradict the false claim of their own that Matthew is a knight or Victoria is a knight.", "We have exhausted all possibilities for Ava, so let us go back and reconsider Matthew.", "Assume Matthew is a knave. No contradiction is found in their false claim that Ava is a knave.", "Assume Ava is a knight. No contradiction is found in their claim that Matthew is a knight or Victoria is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that Lily is a knave if and only if Matthew is a knight.", "Assume Lily is a knight. No contradiction is found in their claim that If Victoria is a knave then Matthew is a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that Alexander is not a knight.", "Alexander cannot be a knight, because this would contradict the claim of Daniel that Alexander is not a knight.", "Assume Alexander is a knave. No contradiction is found in their false claim that Noah is a knight or Ava is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 6), ('telling-truth', 1)), ('<=>', ('lying', 3), ('telling-truth', 6)), ('or', ('telling-truth', 6), ('telling-truth', 1)), ('->', ('lying', 1), ('lying', 6)), ('not', ('telling-truth', 5)), ('or', ('telling-truth', 0), ('lying', 2)), ('lying', 2))", "index": 100}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Daniel, Samuel, Michael, Sophia, Mason, Aria, and Alexander. As Daniel put it, \"Michael is a knave if and only if Alexander is a knight\". Samuel said that Michael is a knight and Alexander is a knave. Michael asserted: \"Aria is not a knave\". Sophia expressed that Alexander is a knight and Mason is a knave. Mason noted, \"Alexander is not a knight\". According to Aria, \"If Michael is a knight then Alexander is a knave\". Alexander told you that Aria is a knave and Daniel is a knave. So who is a knight and who is a knave?", "names": ["Daniel", "Samuel", "Michael", "Sophia", "Mason", "Aria", "Alexander"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false, true, true, false], "solution_text": "Daniel is a knight, Samuel is a knight, Michael is a knight, Sophia is a knave, Mason is a knight, Aria is a knight, and Alexander is a knave.", "solution_text_format": "(1) Daniel is a knight\n(2) Samuel is a knight\n(3) Michael is a knight\n(4) Sophia is a knave\n(5) Mason is a knight\n(6) Aria is a knight\n(7) Alexander is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Daniel is a knight. No contradiction is found in their claim that Michael is a knave if and only if Alexander is a knight.", "Assume Michael is a knight. No contradiction is found in their claim that Aria is not a knave.", "Assume Aria is a knight. No contradiction is found in their claim that If Michael is a knight then Alexander is a knave.", "Alexander cannot be a knight, because this would contradict the claim of Daniel that Michael is a knave if and only if Alexander is a knight.", "Assume Alexander is a knave. No contradiction is found in their false claim that Aria is a knave and Daniel is a knave.", "Assume Samuel is a knight. No contradiction is found in their claim that Michael is a knight and Alexander is a knave.", "Sophia cannot be a knight, because this would contradict the claim of their own that Alexander is a knight and Mason is a knave.", "Assume Sophia is a knave. No contradiction is found in their false claim that Alexander is a knight and Mason is a knave.", "Assume Mason is a knight. No contradiction is found in their claim that Alexander is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 2), ('telling-truth', 6)), ('and', ('telling-truth', 2), ('lying', 6)), ('not', ('lying', 5)), ('and', ('telling-truth', 6), ('lying', 4)), ('not', ('telling-truth', 6)), ('->', ('telling-truth', 2), ('lying', 6)), ('and', ('lying', 5), ('lying', 0)))", "index": 101}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Amelia, Logan, Benjamin, Joseph, Michael, Lucas, and Zoey. Amelia told you that Zoey is a knave if and only if Michael is a knave. \"Logan is a knight if and only if Amelia is a knave\" - Logan. \"If Logan is a knave then Benjamin is a knight,\" Benjamin claimed. Joseph was heard saying, \"If Benjamin is a knave then Lucas is a knight\". Michael remarked, \"Amelia is a knight\". \"Joseph is a knave if and only if Michael is a knight,\" Lucas claimed. Zoey remarked, \"Lucas is not a knight\". So who is a knight and who is a knave?", "names": ["Amelia", "Logan", "Benjamin", "Joseph", "Michael", "Lucas", "Zoey"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, false, false, false, true], "solution_text": "Amelia is a knave, Logan is a knave, Benjamin is a knave, Joseph is a knave, Michael is a knave, Lucas is a knave, and Zoey is a knight.", "solution_text_format": "(1) Amelia is a knave\n(2) Logan is a knave\n(3) Benjamin is a knave\n(4) Joseph is a knave\n(5) Michael is a knave\n(6) Lucas is a knave\n(7) Zoey is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Amelia is a knight. No contradiction is found in their claim that Zoey is a knave if and only if Michael is a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that Lucas is not a knight.", "Lucas cannot be a knight, because this would contradict the claim of Zoey that Lucas is not a knight.", "Assume Lucas is a knave. No contradiction is found in their false claim that Joseph is a knave if and only if Michael is a knight.", "Assume Joseph is a knight. No contradiction is found in their claim that If Benjamin is a knave then Lucas is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that If Logan is a knave then Benjamin is a knight.", "Logan cannot be a knight, because this would contradict the claim of their own that Logan is a knight if and only if Amelia is a knave.", "Logan cannot be a knave, because this would contradict the false claim of their own that Logan is a knight if and only if Amelia is a knave.", "We have exhausted all possibilities for Logan, so let us go back and reconsider Benjamin.", "Benjamin cannot be a knave, because this would contradict the claim of Joseph that If Benjamin is a knave then Lucas is a knight.", "We have exhausted all possibilities for Benjamin, so let us go back and reconsider Joseph.", "Assume Joseph is a knave. No contradiction is found in their false claim that If Benjamin is a knave then Lucas is a knight.", "Benjamin cannot be a knight, because this would contradict the false claim of Joseph that If Benjamin is a knave then Lucas is a knight.", "Assume Benjamin is a knave. No contradiction is found in their false claim that If Logan is a knave then Benjamin is a knight.", "Logan cannot be a knight, because this would contradict the claim of their own that Logan is a knight if and only if Amelia is a knave.", "Logan cannot be a knave, because this would contradict the false claim of their own that Logan is a knight if and only if Amelia is a knave.", "We have exhausted all possibilities for Logan, Benjamin, Joseph, and Lucas, so let us go back and reconsider Zoey.", "Assume Zoey is a knave. No contradiction is found in their false claim that Lucas is not a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that Joseph is a knave if and only if Michael is a knight.", "Assume Joseph is a knight. No contradiction is found in their claim that If Benjamin is a knave then Lucas is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that If Logan is a knave then Benjamin is a knight.", "Logan cannot be a knight, because this would contradict the claim of their own that Logan is a knight if and only if Amelia is a knave.", "Logan cannot be a knave, because this would contradict the false claim of their own that Logan is a knight if and only if Amelia is a knave.", "We have exhausted all possibilities for Logan, so let us go back and reconsider Benjamin.", "Assume Benjamin is a knave. No contradiction is found in their false claim that If Logan is a knave then Benjamin is a knight.", "Logan cannot be a knight, because this would contradict the claim of their own that Logan is a knight if and only if Amelia is a knave.", "Logan cannot be a knave, because this would contradict the false claim of their own that Logan is a knight if and only if Amelia is a knave.", "We have exhausted all possibilities for Logan and Benjamin, so let us go back and reconsider Joseph.", "Joseph cannot be a knave, because this would contradict the false claim of their own that If Benjamin is a knave then Lucas is a knight.", "We have exhausted all possibilities for Joseph, so let us go back and reconsider Lucas.", "Lucas cannot be a knave, because this would contradict the false claim of Zoey that Lucas is not a knight.", "We have exhausted all possibilities for Lucas and Zoey, so let us go back and reconsider Amelia.", "Assume Amelia is a knave. No contradiction is found in their false claim that Zoey is a knave if and only if Michael is a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that Lucas is not a knight.", "Lucas cannot be a knight, because this would contradict the claim of Zoey that Lucas is not a knight.", "Assume Lucas is a knave. No contradiction is found in their false claim that Joseph is a knave if and only if Michael is a knight.", "Assume Joseph is a knight. No contradiction is found in their claim that If Benjamin is a knave then Lucas is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that If Logan is a knave then Benjamin is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that Logan is a knight if and only if Amelia is a knave.", "Michael cannot be a knight, because this would contradict the false claim of Amelia that Zoey is a knave if and only if Michael is a knave.", "Michael cannot be a knave, because this would contradict the false claim of Lucas that Joseph is a knave if and only if Michael is a knight.", "We have exhausted all possibilities for Michael, so let us go back and reconsider Logan.", "Assume Logan is a knave. No contradiction is found in their false claim that Logan is a knight if and only if Amelia is a knave.", "Michael cannot be a knight, because this would contradict the false claim of Amelia that Zoey is a knave if and only if Michael is a knave.", "Michael cannot be a knave, because this would contradict the false claim of Lucas that Joseph is a knave if and only if Michael is a knight.", "We have exhausted all possibilities for Michael and Logan, so let us go back and reconsider Benjamin.", "Benjamin cannot be a knave, because this would contradict the claim of Joseph that If Benjamin is a knave then Lucas is a knight.", "We have exhausted all possibilities for Benjamin, so let us go back and reconsider Joseph.", "Assume Joseph is a knave. No contradiction is found in their false claim that If Benjamin is a knave then Lucas is a knight.", "Benjamin cannot be a knight, because this would contradict the false claim of Joseph that If Benjamin is a knave then Lucas is a knight.", "Assume Benjamin is a knave. No contradiction is found in their false claim that If Logan is a knave then Benjamin is a knight.", "Logan cannot be a knight, because this would contradict the false claim of Benjamin that If Logan is a knave then Benjamin is a knight.", "Assume Logan is a knave. No contradiction is found in their false claim that Logan is a knight if and only if Amelia is a knave.", "Michael cannot be a knight, because this would contradict the false claim of Amelia that Zoey is a knave if and only if Michael is a knave.", "Assume Michael is a knave. No contradiction is found in their false claim that Amelia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 6), ('lying', 4)), ('<=>', ('telling-truth', 1), ('lying', 0)), ('->', ('lying', 1), ('telling-truth', 2)), ('->', ('lying', 2), ('telling-truth', 5)), ('telling-truth', 0), ('<=>', ('lying', 3), ('telling-truth', 4)), ('not', ('telling-truth', 5)))", "index": 102}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Isabella, Grace, Elizabeth, Aurora, Sofia, Riley, and Alexander. Isabella stated, \"Alexander is a knight or Grace is a knight\". Grace said, \"Elizabeth is not a knave.\" Elizabeth remarked, \"Elizabeth is a knight and Riley is a knight\". According to Aurora, \"Sofia is not a knight\". Sofia was heard saying, \"Aurora is a knight and Alexander is a knave\". \"Alexander is a knave\" - Riley. Alexander noted, \"If Grace is a knight then Isabella is a knave\". So who is a knight and who is a knave?", "names": ["Isabella", "Grace", "Elizabeth", "Aurora", "Sofia", "Riley", "Alexander"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, false, false, true], "solution_text": "Isabella is a knight, Grace is a knave, Elizabeth is a knave, Aurora is a knight, Sofia is a knave, Riley is a knave, and Alexander is a knight.", "solution_text_format": "(1) Isabella is a knight\n(2) Grace is a knave\n(3) Elizabeth is a knave\n(4) Aurora is a knight\n(5) Sofia is a knave\n(6) Riley is a knave\n(7) Alexander is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Isabella is a knight. No contradiction is found in their claim that Alexander is a knight or Grace is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that If Grace is a knight then Isabella is a knave.", "Grace cannot be a knight, because this would contradict the claim of Alexander that If Grace is a knight then Isabella is a knave.", "Assume Grace is a knave. No contradiction is found in their false claim that Elizabeth is not a knave.", "Elizabeth cannot be a knight, because this would contradict the false claim of Grace that Elizabeth is not a knave.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Elizabeth is a knight and Riley is a knight.", "Riley cannot be a knight, because this would contradict the claim of their own that Alexander is a knave.", "Assume Riley is a knave. No contradiction is found in their false claim that Alexander is a knave.", "Assume Aurora is a knight. No contradiction is found in their claim that Sofia is not a knight.", "Sofia cannot be a knight, because this would contradict the claim of Aurora that Sofia is not a knight.", "Assume Sofia is a knave. No contradiction is found in their false claim that Aurora is a knight and Alexander is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 6), ('telling-truth', 1)), ('not', ('lying', 2)), ('and', ('telling-truth', 2), ('telling-truth', 5)), ('not', ('telling-truth', 4)), ('and', ('telling-truth', 3), ('lying', 6)), ('lying', 6), ('->', ('telling-truth', 1), ('lying', 0)))", "index": 103}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Oliver, Harper, Alexander, Grace, Lucas, Evelyn, and Ella. Oliver asserted: \"Harper is a knave if and only if Ella is a knave\". In Harper's words: \"Ella is a knight and Lucas is a knave\". \"Oliver is a knight and Lucas is a knave\" - Alexander. Grace was heard saying, \"Lucas is a knave if and only if Lucas is a knight\". Lucas said, \"Oliver is a knave or Grace is a knave.\" Evelyn remarked, \"Lucas is not a knight\". \"Grace is a knight,\" Ella claimed. So who is a knight and who is a knave?", "names": ["Oliver", "Harper", "Alexander", "Grace", "Lucas", "Evelyn", "Ella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false, true, false, false], "solution_text": "Oliver is a knight, Harper is a knave, Alexander is a knave, Grace is a knave, Lucas is a knight, Evelyn is a knave, and Ella is a knave.", "solution_text_format": "(1) Oliver is a knight\n(2) Harper is a knave\n(3) Alexander is a knave\n(4) Grace is a knave\n(5) Lucas is a knight\n(6) Evelyn is a knave\n(7) Ella is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Oliver is a knight. No contradiction is found in their claim that Harper is a knave if and only if Ella is a knave.", "Assume Harper is a knight. No contradiction is found in their claim that Ella is a knight and Lucas is a knave.", "Assume Ella is a knight. No contradiction is found in their claim that Grace is a knight.", "Grace cannot be a knight, because this would contradict the claim of their own that Lucas is a knave if and only if Lucas is a knight.", "Grace cannot be a knave, because this would contradict the claim of Ella that Grace is a knight.", "We have exhausted all possibilities for Grace, so let us go back and reconsider Ella.", "Ella cannot be a knave, because this would contradict the claim of Oliver that Harper is a knave if and only if Ella is a knave.", "We have exhausted all possibilities for Ella, so let us go back and reconsider Harper.", "Assume Harper is a knave. No contradiction is found in their false claim that Ella is a knight and Lucas is a knave.", "Ella cannot be a knight, because this would contradict the claim of Oliver that Harper is a knave if and only if Ella is a knave.", "Assume Ella is a knave. No contradiction is found in their false claim that Grace is a knight.", "Grace cannot be a knight, because this would contradict the claim of their own that Lucas is a knave if and only if Lucas is a knight.", "Assume Grace is a knave. No contradiction is found in their false claim that Lucas is a knave if and only if Lucas is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that Oliver is a knave or Grace is a knave.", "Alexander cannot be a knight, because this would contradict the claim of their own that Oliver is a knight and Lucas is a knave.", "Assume Alexander is a knave. No contradiction is found in their false claim that Oliver is a knight and Lucas is a knave.", "Evelyn cannot be a knight, because this would contradict the claim of their own that Lucas is not a knight.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Lucas is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('lying', 6)), ('and', ('telling-truth', 6), ('lying', 4)), ('and', ('telling-truth', 0), ('lying', 4)), ('<=>', ('lying', 4), ('telling-truth', 4)), ('or', ('lying', 0), ('lying', 3)), ('not', ('telling-truth', 4)), ('telling-truth', 3))", "index": 104}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Riley, David, Victoria, Aurora, Benjamin, Elizabeth, and Aiden. Riley remarked, \"If Elizabeth is a knight then Victoria is a knave\". David expressed that Aiden is a knave if and only if Benjamin is a knave. Victoria said, \"Riley is not a knight.\" Aurora commented, \"Victoria is a knave or Elizabeth is a knave\". \"Riley is a knight if and only if Riley is a knave,\" Benjamin declared. Elizabeth expressed that Aiden is not a knave. As Aiden put it, \"Aurora is not a knave\". So who is a knight and who is a knave?", "names": ["Riley", "David", "Victoria", "Aurora", "Benjamin", "Elizabeth", "Aiden"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, false, true, true], "solution_text": "Riley is a knight, David is a knave, Victoria is a knave, Aurora is a knight, Benjamin is a knave, Elizabeth is a knight, and Aiden is a knight.", "solution_text_format": "(1) Riley is a knight\n(2) David is a knave\n(3) Victoria is a knave\n(4) Aurora is a knight\n(5) Benjamin is a knave\n(6) Elizabeth is a knight\n(7) Aiden is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Riley is a knight. No contradiction is found in their claim that If Elizabeth is a knight then Victoria is a knave.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Aiden is not a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that Aurora is not a knave.", "Assume Aurora is a knight. No contradiction is found in their claim that Victoria is a knave or Elizabeth is a knave.", "Victoria cannot be a knight, because this would contradict the claim of Riley that If Elizabeth is a knight then Victoria is a knave.", "Assume Victoria is a knave. No contradiction is found in their false claim that Riley is not a knight.", "Assume David is a knight. No contradiction is found in their claim that Aiden is a knave if and only if Benjamin is a knave.", "Benjamin cannot be a knight, because this would contradict the claim of their own that Riley is a knight if and only if Riley is a knave.", "Benjamin cannot be a knave, because this would contradict the claim of David that Aiden is a knave if and only if Benjamin is a knave.", "We have exhausted all possibilities for Benjamin, so let us go back and reconsider David.", "Assume David is a knave. No contradiction is found in their false claim that Aiden is a knave if and only if Benjamin is a knave.", "Benjamin cannot be a knight, because this would contradict the false claim of David that Aiden is a knave if and only if Benjamin is a knave.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Riley is a knight if and only if Riley is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 5), ('lying', 2)), ('<=>', ('lying', 6), ('lying', 4)), ('not', ('telling-truth', 0)), ('or', ('lying', 2), ('lying', 5)), ('<=>', ('telling-truth', 0), ('lying', 0)), ('not', ('lying', 6)), ('not', ('lying', 3)))", "index": 105}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Riley, Benjamin, Michael, Emily, Noah, Mason, and Liam. \"Emily is a knight if and only if Mason is a knight\" - Riley. \"If Noah is a knave then Riley is a knave,\" Benjamin declared. \"Emily is a knight or Mason is a knight,\" Michael mentioned. Emily said that Noah is a knave or Emily is a knight. As Noah put it, \"Riley is a knave if and only if Benjamin is a knight\". \"Benjamin is a knave and Mason is a knight,\" Mason claimed. Liam said that Michael is a knight if and only if Michael is a knave. So who is a knight and who is a knave?", "names": ["Riley", "Benjamin", "Michael", "Emily", "Noah", "Mason", "Liam"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, true, false, false], "solution_text": "Riley is a knave, Benjamin is a knight, Michael is a knight, Emily is a knight, Noah is a knight, Mason is a knave, and Liam is a knave.", "solution_text_format": "(1) Riley is a knave\n(2) Benjamin is a knight\n(3) Michael is a knight\n(4) Emily is a knight\n(5) Noah is a knight\n(6) Mason is a knave\n(7) Liam is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Riley is a knight. No contradiction is found in their claim that Emily is a knight if and only if Mason is a knight.", "Assume Emily is a knight. No contradiction is found in their claim that Noah is a knave or Emily is a knight.", "Assume Noah is a knight. No contradiction is found in their claim that Riley is a knave if and only if Benjamin is a knight.", "Benjamin cannot be a knight, because this would contradict the claim of Noah that Riley is a knave if and only if Benjamin is a knight.", "Benjamin cannot be a knave, because this would contradict the false claim of their own that If Noah is a knave then Riley is a knave.", "We have exhausted all possibilities for Benjamin, so let us go back and reconsider Noah.", "Assume Noah is a knave. No contradiction is found in their false claim that Riley is a knave if and only if Benjamin is a knight.", "Benjamin cannot be a knight, because this would contradict the claim of their own that If Noah is a knave then Riley is a knave.", "Benjamin cannot be a knave, because this would contradict the false claim of Noah that Riley is a knave if and only if Benjamin is a knight.", "We have exhausted all possibilities for Benjamin and Noah, so let us go back and reconsider Emily.", "Assume Emily is a knave. No contradiction is found in their false claim that Noah is a knave or Emily is a knight.", "Assume Noah is a knight. No contradiction is found in their claim that Riley is a knave if and only if Benjamin is a knight.", "Benjamin cannot be a knight, because this would contradict the claim of Noah that Riley is a knave if and only if Benjamin is a knight.", "Benjamin cannot be a knave, because this would contradict the false claim of their own that If Noah is a knave then Riley is a knave.", "We have exhausted all possibilities for Benjamin, so let us go back and reconsider Noah.", "Noah cannot be a knave, because this would contradict the false claim of Emily that Noah is a knave or Emily is a knight.", "We have exhausted all possibilities for Noah and Emily, so let us go back and reconsider Riley.", "Assume Riley is a knave. No contradiction is found in their false claim that Emily is a knight if and only if Mason is a knight.", "Assume Emily is a knight. No contradiction is found in their claim that Noah is a knave or Emily is a knight.", "Assume Noah is a knight. No contradiction is found in their claim that Riley is a knave if and only if Benjamin is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that If Noah is a knave then Riley is a knave.", "Mason cannot be a knight, because this would contradict the false claim of Riley that Emily is a knight if and only if Mason is a knight.", "Assume Mason is a knave. No contradiction is found in their false claim that Benjamin is a knave and Mason is a knight.", "Assume Michael is a knight. No contradiction is found in their claim that Emily is a knight or Mason is a knight.", "Liam cannot be a knight, because this would contradict the claim of their own that Michael is a knight if and only if Michael is a knave.", "Assume Liam is a knave. No contradiction is found in their false claim that Michael is a knight if and only if Michael is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 3), ('telling-truth', 5)), ('->', ('lying', 4), ('lying', 0)), ('or', ('telling-truth', 3), ('telling-truth', 5)), ('or', ('lying', 4), ('telling-truth', 3)), ('<=>', ('lying', 0), ('telling-truth', 1)), ('and', ('lying', 1), ('telling-truth', 5)), ('<=>', ('telling-truth', 2), ('lying', 2)))", "index": 106}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Scarlett, Ethan, Zoey, Ava, Lucas, Victoria, and Alexander. Scarlett told you that Ava is a knight or Ethan is a knight. Ethan noted, \"If Ethan is a knight then Alexander is a knave\". \"If Scarlett is a knave then Ava is a knight,\" Zoey mentioned. In Ava's words: \"Zoey is not a knave\". Lucas was heard saying, \"Alexander is a knight and Scarlett is a knave\". \"If Lucas is a knave then Zoey is a knave,\" Victoria claimed. Alexander noted, \"Ethan is a knight and Scarlett is a knave\". So who is a knight and who is a knave?", "names": ["Scarlett", "Ethan", "Zoey", "Ava", "Lucas", "Victoria", "Alexander"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, false, false, false], "solution_text": "Scarlett is a knight, Ethan is a knight, Zoey is a knight, Ava is a knight, Lucas is a knave, Victoria is a knave, and Alexander is a knave.", "solution_text_format": "(1) Scarlett is a knight\n(2) Ethan is a knight\n(3) Zoey is a knight\n(4) Ava is a knight\n(5) Lucas is a knave\n(6) Victoria is a knave\n(7) Alexander is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Scarlett is a knight. No contradiction is found in their claim that Ava is a knight or Ethan is a knight.", "Assume Ava is a knight. No contradiction is found in their claim that Zoey is not a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that If Scarlett is a knave then Ava is a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that If Ethan is a knight then Alexander is a knave.", "Alexander cannot be a knight, because this would contradict the claim of Ethan that If Ethan is a knight then Alexander is a knave.", "Assume Alexander is a knave. No contradiction is found in their false claim that Ethan is a knight and Scarlett is a knave.", "Lucas cannot be a knight, because this would contradict the claim of their own that Alexander is a knight and Scarlett is a knave.", "Assume Lucas is a knave. No contradiction is found in their false claim that Alexander is a knight and Scarlett is a knave.", "Victoria cannot be a knight, because this would contradict the claim of their own that If Lucas is a knave then Zoey is a knave.", "Assume Victoria is a knave. No contradiction is found in their false claim that If Lucas is a knave then Zoey is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 3), ('telling-truth', 1)), ('->', ('telling-truth', 1), ('lying', 6)), ('->', ('lying', 0), ('telling-truth', 3)), ('not', ('lying', 2)), ('and', ('telling-truth', 6), ('lying', 0)), ('->', ('lying', 4), ('lying', 2)), ('and', ('telling-truth', 1), ('lying', 0)))", "index": 107}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Jack, Henry, Luke, Avery, James, Mason, and Samuel. Jack commented, \"Jack is a knight if and only if Samuel is a knave\". In a statement by Henry: \"Avery is a knave and Avery is a knight\". Luke commented, \"James is a knave and Avery is a knave\". As Avery put it, \"Samuel is a knight or Jack is a knave\". James told you that Mason is a knave if and only if Avery is a knight. Mason told you that Henry is a knight and Mason is a knight. \"Luke is a knight and Mason is a knave\" - Samuel. So who is a knight and who is a knave?", "names": ["Jack", "Henry", "Luke", "Avery", "James", "Mason", "Samuel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true, true, false, false], "solution_text": "Jack is a knave, Henry is a knave, Luke is a knave, Avery is a knight, James is a knight, Mason is a knave, and Samuel is a knave.", "solution_text_format": "(1) Jack is a knave\n(2) Henry is a knave\n(3) Luke is a knave\n(4) Avery is a knight\n(5) James is a knight\n(6) Mason is a knave\n(7) Samuel is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jack is a knight. No contradiction is found in their claim that Jack is a knight if and only if Samuel is a knave.", "Samuel cannot be a knight, because this would contradict the claim of Jack that Jack is a knight if and only if Samuel is a knave.", "Assume Samuel is a knave. No contradiction is found in their false claim that Luke is a knight and Mason is a knave.", "Assume Luke is a knight. No contradiction is found in their claim that James is a knave and Avery is a knave.", "James cannot be a knight, because this would contradict the claim of Luke that James is a knave and Avery is a knave.", "Assume James is a knave. No contradiction is found in their false claim that Mason is a knave if and only if Avery is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that Henry is a knight and Mason is a knight.", "Henry cannot be a knight, because this would contradict the claim of their own that Avery is a knave and Avery is a knight.", "Henry cannot be a knave, because this would contradict the claim of Mason that Henry is a knight and Mason is a knight.", "We have exhausted all possibilities for Henry, so let us go back and reconsider Mason.", "Mason cannot be a knave, because this would contradict the false claim of Samuel that Luke is a knight and Mason is a knave.", "We have exhausted all possibilities for Mason and James, so let us go back and reconsider Luke.", "Assume Luke is a knave. No contradiction is found in their false claim that James is a knave and Avery is a knave.", "Assume James is a knight. No contradiction is found in their claim that Mason is a knave if and only if Avery is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that Henry is a knight and Mason is a knight.", "Henry cannot be a knight, because this would contradict the claim of their own that Avery is a knave and Avery is a knight.", "Henry cannot be a knave, because this would contradict the claim of Mason that Henry is a knight and Mason is a knight.", "We have exhausted all possibilities for Henry, so let us go back and reconsider Mason.", "Assume Mason is a knave. No contradiction is found in their false claim that Henry is a knight and Mason is a knight.", "Henry cannot be a knight, because this would contradict the claim of their own that Avery is a knave and Avery is a knight.", "Assume Henry is a knave. No contradiction is found in their false claim that Avery is a knave and Avery is a knight.", "Avery cannot be a knight, because this would contradict the claim of their own that Samuel is a knight or Jack is a knave.", "Avery cannot be a knave, because this would contradict the claim of James that Mason is a knave if and only if Avery is a knight.", "We have exhausted all possibilities for Avery, Henry, and Mason, so let us go back and reconsider James.", "Assume James is a knave. No contradiction is found in their false claim that Mason is a knave if and only if Avery is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that Henry is a knight and Mason is a knight.", "Henry cannot be a knight, because this would contradict the claim of their own that Avery is a knave and Avery is a knight.", "Henry cannot be a knave, because this would contradict the claim of Mason that Henry is a knight and Mason is a knight.", "We have exhausted all possibilities for Henry, so let us go back and reconsider Mason.", "Assume Mason is a knave. No contradiction is found in their false claim that Henry is a knight and Mason is a knight.", "Henry cannot be a knight, because this would contradict the claim of their own that Avery is a knave and Avery is a knight.", "Assume Henry is a knave. No contradiction is found in their false claim that Avery is a knave and Avery is a knight.", "Avery cannot be a knight, because this would contradict the claim of their own that Samuel is a knight or Jack is a knave.", "Avery cannot be a knave, because this would contradict the false claim of Luke that James is a knave and Avery is a knave.", "We have exhausted all possibilities for Avery, Henry, Mason, James, Luke, and Samuel, so let us go back and reconsider Jack.", "Assume Jack is a knave. No contradiction is found in their false claim that Jack is a knight if and only if Samuel is a knave.", "Samuel cannot be a knight, because this would contradict the false claim of Jack that Jack is a knight if and only if Samuel is a knave.", "Assume Samuel is a knave. No contradiction is found in their false claim that Luke is a knight and Mason is a knave.", "Assume Luke is a knight. No contradiction is found in their claim that James is a knave and Avery is a knave.", "James cannot be a knight, because this would contradict the claim of Luke that James is a knave and Avery is a knave.", "Assume James is a knave. No contradiction is found in their false claim that Mason is a knave if and only if Avery is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that Henry is a knight and Mason is a knight.", "Henry cannot be a knight, because this would contradict the claim of their own that Avery is a knave and Avery is a knight.", "Henry cannot be a knave, because this would contradict the claim of Mason that Henry is a knight and Mason is a knight.", "We have exhausted all possibilities for Henry, so let us go back and reconsider Mason.", "Mason cannot be a knave, because this would contradict the false claim of Samuel that Luke is a knight and Mason is a knave.", "We have exhausted all possibilities for Mason and James, so let us go back and reconsider Luke.", "Assume Luke is a knave. No contradiction is found in their false claim that James is a knave and Avery is a knave.", "Assume James is a knight. No contradiction is found in their claim that Mason is a knave if and only if Avery is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that Henry is a knight and Mason is a knight.", "Henry cannot be a knight, because this would contradict the claim of their own that Avery is a knave and Avery is a knight.", "Henry cannot be a knave, because this would contradict the claim of Mason that Henry is a knight and Mason is a knight.", "We have exhausted all possibilities for Henry, so let us go back and reconsider Mason.", "Assume Mason is a knave. No contradiction is found in their false claim that Henry is a knight and Mason is a knight.", "Henry cannot be a knight, because this would contradict the claim of their own that Avery is a knave and Avery is a knight.", "Assume Henry is a knave. No contradiction is found in their false claim that Avery is a knave and Avery is a knight.", "Assume Avery is a knight. No contradiction is found in their claim that Samuel is a knight or Jack is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 0), ('lying', 6)), ('and', ('lying', 3), ('telling-truth', 3)), ('and', ('lying', 4), ('lying', 3)), ('or', ('telling-truth', 6), ('lying', 0)), ('<=>', ('lying', 5), ('telling-truth', 3)), ('and', ('telling-truth', 1), ('telling-truth', 5)), ('and', ('telling-truth', 2), ('lying', 5)))", "index": 108}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Matthew, Aria, Ethan, Mia, Avery, Chloe, and Harper. \"Avery is a knave and Harper is a knight,\" Matthew mentioned. Aria commented, \"Mia is a knave if and only if Matthew is a knight\". In a statement by Ethan: \"Aria is a knave or Mia is a knave\". Mia was heard saying, \"If Avery is a knight then Avery is a knave\". Avery was heard saying, \"Mia is a knight or Mia is a knave\". Chloe commented, \"Mia is a knave if and only if Aria is a knave\". Harper remarked, \"Ethan is not a knave\". So who is a knight and who is a knave?", "names": ["Matthew", "Aria", "Ethan", "Mia", "Avery", "Chloe", "Harper"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false, true, true, true], "solution_text": "Matthew is a knave, Aria is a knave, Ethan is a knight, Mia is a knave, Avery is a knight, Chloe is a knight, and Harper is a knight.", "solution_text_format": "(1) Matthew is a knave\n(2) Aria is a knave\n(3) Ethan is a knight\n(4) Mia is a knave\n(5) Avery is a knight\n(6) Chloe is a knight\n(7) Harper is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Matthew is a knight. No contradiction is found in their claim that Avery is a knave and Harper is a knight.", "Avery cannot be a knight, because this would contradict the claim of Matthew that Avery is a knave and Harper is a knight.", "Avery cannot be a knave, because this would contradict the false claim of their own that Mia is a knight or Mia is a knave.", "We have exhausted all possibilities for Avery, so let us go back and reconsider Matthew.", "Assume Matthew is a knave. No contradiction is found in their false claim that Avery is a knave and Harper is a knight.", "Assume Avery is a knight. No contradiction is found in their claim that Mia is a knight or Mia is a knave.", "Mia cannot be a knight, because this would contradict the claim of their own that If Avery is a knight then Avery is a knave.", "Assume Mia is a knave. No contradiction is found in their false claim that If Avery is a knight then Avery is a knave.", "Assume Harper is a knight. No contradiction is found in their claim that Ethan is not a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that Aria is a knave or Mia is a knave.", "Aria cannot be a knight, because this would contradict the claim of their own that Mia is a knave if and only if Matthew is a knight.", "Assume Aria is a knave. No contradiction is found in their false claim that Mia is a knave if and only if Matthew is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that Mia is a knave if and only if Aria is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 4), ('telling-truth', 6)), ('<=>', ('lying', 3), ('telling-truth', 0)), ('or', ('lying', 1), ('lying', 3)), ('->', ('telling-truth', 4), ('lying', 4)), ('or', ('telling-truth', 3), ('lying', 3)), ('<=>', ('lying', 3), ('lying', 1)), ('not', ('lying', 2)))", "index": 109}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Abigail, Aria, Jacob, Liam, James, Amelia, and David. In Abigail's words: \"David is a knight if and only if Liam is a knight\". Aria noted, \"If Abigail is a knight then Liam is a knight\". \"Abigail is a knave\" - Jacob. As Liam put it, \"If Amelia is a knight then Abigail is a knight\". \"Jacob is a knight or Amelia is a knave,\" James claimed. \"David is not a knight\" - Amelia. David said that Jacob is a knave and David is a knight. So who is a knight and who is a knave?", "names": ["Abigail", "Aria", "Jacob", "Liam", "James", "Amelia", "David"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true, true, false, true], "solution_text": "Abigail is a knight, Aria is a knight, Jacob is a knave, Liam is a knight, James is a knight, Amelia is a knave, and David is a knight.", "solution_text_format": "(1) Abigail is a knight\n(2) Aria is a knight\n(3) Jacob is a knave\n(4) Liam is a knight\n(5) James is a knight\n(6) Amelia is a knave\n(7) David is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Abigail is a knight. No contradiction is found in their claim that David is a knight if and only if Liam is a knight.", "Assume David is a knight. No contradiction is found in their claim that Jacob is a knave and David is a knight.", "Jacob cannot be a knight, because this would contradict the claim of their own that Abigail is a knave.", "Assume Jacob is a knave. No contradiction is found in their false claim that Abigail is a knave.", "Assume Liam is a knight. No contradiction is found in their claim that If Amelia is a knight then Abigail is a knight.", "Amelia cannot be a knight, because this would contradict the claim of their own that David is not a knight.", "Assume Amelia is a knave. No contradiction is found in their false claim that David is not a knight.", "Assume Aria is a knight. No contradiction is found in their claim that If Abigail is a knight then Liam is a knight.", "Assume James is a knight. No contradiction is found in their claim that Jacob is a knight or Amelia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 6), ('telling-truth', 3)), ('->', ('telling-truth', 0), ('telling-truth', 3)), ('lying', 0), ('->', ('telling-truth', 5), ('telling-truth', 0)), ('or', ('telling-truth', 2), ('lying', 5)), ('not', ('telling-truth', 6)), ('and', ('lying', 2), ('telling-truth', 6)))", "index": 110}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Victoria, Jackson, Jack, Jacob, Chloe, Daniel, and Logan. Victoria expressed that If Logan is a knight then Daniel is a knight. Jackson expressed that Logan is a knave or Jack is a knave. In Jack's words: \"If Jackson is a knight then Victoria is a knight\". Jacob told you that If Daniel is a knight then Victoria is a knight. \"Victoria is not a knave,\" Chloe declared. Daniel was heard saying, \"Jacob is a knight or Jackson is a knave\". In a statement by Logan: \"Daniel is not a knight\". So who is a knight and who is a knave?", "names": ["Victoria", "Jackson", "Jack", "Jacob", "Chloe", "Daniel", "Logan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, true, true, false], "solution_text": "Victoria is a knight, Jackson is a knight, Jack is a knight, Jacob is a knight, Chloe is a knight, Daniel is a knight, and Logan is a knave.", "solution_text_format": "(1) Victoria is a knight\n(2) Jackson is a knight\n(3) Jack is a knight\n(4) Jacob is a knight\n(5) Chloe is a knight\n(6) Daniel is a knight\n(7) Logan is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Victoria is a knight. No contradiction is found in their claim that If Logan is a knight then Daniel is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that Daniel is not a knight.", "Daniel cannot be a knight, because this would contradict the claim of Logan that Daniel is not a knight.", "Daniel cannot be a knave, because this would contradict the claim of Victoria that If Logan is a knight then Daniel is a knight.", "We have exhausted all possibilities for Daniel, so let us go back and reconsider Logan.", "Assume Logan is a knave. No contradiction is found in their false claim that Daniel is not a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that Jacob is a knight or Jackson is a knave.", "Assume Jacob is a knight. No contradiction is found in their claim that If Daniel is a knight then Victoria is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that Logan is a knave or Jack is a knave.", "Assume Jack is a knight. No contradiction is found in their claim that If Jackson is a knight then Victoria is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that Victoria is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 6), ('telling-truth', 5)), ('or', ('lying', 6), ('lying', 2)), ('->', ('telling-truth', 1), ('telling-truth', 0)), ('->', ('telling-truth', 5), ('telling-truth', 0)), ('not', ('lying', 0)), ('or', ('telling-truth', 3), ('lying', 1)), ('not', ('telling-truth', 5)))", "index": 111}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: James, Abigail, Daniel, Lucas, Oliver, Riley, and Matthew. James asserted: \"Daniel is a knave\". Abigail told you that If Riley is a knight then Lucas is a knight. Daniel said, \"If Riley is a knight then Lucas is a knight.\" According to Lucas, \"If Daniel is a knave then Oliver is a knave\". Oliver asserted: \"Daniel is a knight and Abigail is a knave\". Riley expressed that Abigail is not a knight. Matthew stated, \"Oliver is a knave\". So who is a knight and who is a knave?", "names": ["James", "Abigail", "Daniel", "Lucas", "Oliver", "Riley", "Matthew"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, false, false, true], "solution_text": "James is a knave, Abigail is a knight, Daniel is a knight, Lucas is a knight, Oliver is a knave, Riley is a knave, and Matthew is a knight.", "solution_text_format": "(1) James is a knave\n(2) Abigail is a knight\n(3) Daniel is a knight\n(4) Lucas is a knight\n(5) Oliver is a knave\n(6) Riley is a knave\n(7) Matthew is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume James is a knight. No contradiction is found in their claim that Daniel is a knave.", "Daniel cannot be a knight, because this would contradict the claim of James that Daniel is a knave.", "Assume Daniel is a knave. No contradiction is found in their false claim that If Riley is a knight then Lucas is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that Abigail is not a knight.", "Abigail cannot be a knight, because this would contradict the claim of Riley that Abigail is not a knight.", "Assume Abigail is a knave. No contradiction is found in their false claim that If Riley is a knight then Lucas is a knight.", "Lucas cannot be a knight, because this would contradict the false claim of Abigail that If Riley is a knight then Lucas is a knight.", "Assume Lucas is a knave. No contradiction is found in their false claim that If Daniel is a knave then Oliver is a knave.", "Oliver cannot be a knight, because this would contradict the claim of their own that Daniel is a knight and Abigail is a knave.", "Oliver cannot be a knave, because this would contradict the false claim of Lucas that If Daniel is a knave then Oliver is a knave.", "We have exhausted all possibilities for Oliver, Lucas, and Abigail, so let us go back and reconsider Riley.", "Riley cannot be a knave, because this would contradict the false claim of Daniel that If Riley is a knight then Lucas is a knight.", "We have exhausted all possibilities for Riley and Daniel, so let us go back and reconsider James.", "Assume James is a knave. No contradiction is found in their false claim that Daniel is a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that If Riley is a knight then Lucas is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that Abigail is not a knight.", "Abigail cannot be a knight, because this would contradict the claim of Riley that Abigail is not a knight.", "Assume Abigail is a knave. No contradiction is found in their false claim that If Riley is a knight then Lucas is a knight.", "Lucas cannot be a knight, because this would contradict the false claim of Abigail that If Riley is a knight then Lucas is a knight.", "Lucas cannot be a knave, because this would contradict the claim of Daniel that If Riley is a knight then Lucas is a knight.", "We have exhausted all possibilities for Lucas and Abigail, so let us go back and reconsider Riley.", "Assume Riley is a knave. No contradiction is found in their false claim that Abigail is not a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that If Riley is a knight then Lucas is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that If Daniel is a knave then Oliver is a knave.", "Oliver cannot be a knight, because this would contradict the claim of their own that Daniel is a knight and Abigail is a knave.", "Assume Oliver is a knave. No contradiction is found in their false claim that Daniel is a knight and Abigail is a knave.", "Assume Matthew is a knight. No contradiction is found in their claim that Oliver is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 2), ('->', ('telling-truth', 5), ('telling-truth', 3)), ('->', ('telling-truth', 5), ('telling-truth', 3)), ('->', ('lying', 2), ('lying', 4)), ('and', ('telling-truth', 2), ('lying', 1)), ('not', ('telling-truth', 1)), ('lying', 4))", "index": 112}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Noah, Aurora, Jack, Oliver, Mia, Evelyn, and Sofia. \"Mia is a knight if and only if Sofia is a knight,\" Noah declared. Aurora stated, \"Sofia is a knight and Mia is a knight\". \"Evelyn is not a knave\" - Jack. \"Evelyn is not a knave,\" Oliver mentioned. \"If Evelyn is a knight then Sofia is a knave,\" Mia declared. Evelyn remarked, \"Jack is a knight or Mia is a knight\". Sofia was heard saying, \"Noah is a knight and Aurora is a knight\". So who is a knight and who is a knave?", "names": ["Noah", "Aurora", "Jack", "Oliver", "Mia", "Evelyn", "Sofia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true, true, true, false], "solution_text": "Noah is a knave, Aurora is a knave, Jack is a knight, Oliver is a knight, Mia is a knight, Evelyn is a knight, and Sofia is a knave.", "solution_text_format": "(1) Noah is a knave\n(2) Aurora is a knave\n(3) Jack is a knight\n(4) Oliver is a knight\n(5) Mia is a knight\n(6) Evelyn is a knight\n(7) Sofia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Noah is a knight. No contradiction is found in their claim that Mia is a knight if and only if Sofia is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that If Evelyn is a knight then Sofia is a knave.", "Assume Evelyn is a knight. No contradiction is found in their claim that Jack is a knight or Mia is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that Evelyn is not a knave.", "Sofia cannot be a knight, because this would contradict the claim of Mia that If Evelyn is a knight then Sofia is a knave.", "Sofia cannot be a knave, because this would contradict the claim of Noah that Mia is a knight if and only if Sofia is a knight.", "We have exhausted all possibilities for Sofia, so let us go back and reconsider Jack.", "Jack cannot be a knave, because this would contradict the false claim of their own that Evelyn is not a knave.", "We have exhausted all possibilities for Jack, so let us go back and reconsider Evelyn.", "Evelyn cannot be a knave, because this would contradict the false claim of their own that Jack is a knight or Mia is a knight.", "We have exhausted all possibilities for Evelyn, so let us go back and reconsider Mia.", "Assume Mia is a knave. No contradiction is found in their false claim that If Evelyn is a knight then Sofia is a knave.", "Assume Evelyn is a knight. No contradiction is found in their claim that Jack is a knight or Mia is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that Evelyn is not a knave.", "Sofia cannot be a knight, because this would contradict the claim of Noah that Mia is a knight if and only if Sofia is a knight.", "Sofia cannot be a knave, because this would contradict the false claim of Mia that If Evelyn is a knight then Sofia is a knave.", "We have exhausted all possibilities for Sofia, so let us go back and reconsider Jack.", "Jack cannot be a knave, because this would contradict the false claim of their own that Evelyn is not a knave.", "We have exhausted all possibilities for Jack, so let us go back and reconsider Evelyn.", "Evelyn cannot be a knave, because this would contradict the false claim of Mia that If Evelyn is a knight then Sofia is a knave.", "We have exhausted all possibilities for Evelyn and Mia, so let us go back and reconsider Noah.", "Assume Noah is a knave. No contradiction is found in their false claim that Mia is a knight if and only if Sofia is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that If Evelyn is a knight then Sofia is a knave.", "Assume Evelyn is a knight. No contradiction is found in their claim that Jack is a knight or Mia is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that Evelyn is not a knave.", "Sofia cannot be a knight, because this would contradict the false claim of Noah that Mia is a knight if and only if Sofia is a knight.", "Assume Sofia is a knave. No contradiction is found in their false claim that Noah is a knight and Aurora is a knight.", "Aurora cannot be a knight, because this would contradict the claim of their own that Sofia is a knight and Mia is a knight.", "Assume Aurora is a knave. No contradiction is found in their false claim that Sofia is a knight and Mia is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that Evelyn is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 4), ('telling-truth', 6)), ('and', ('telling-truth', 6), ('telling-truth', 4)), ('not', ('lying', 5)), ('not', ('lying', 5)), ('->', ('telling-truth', 5), ('lying', 6)), ('or', ('telling-truth', 2), ('telling-truth', 4)), ('and', ('telling-truth', 0), ('telling-truth', 1)))", "index": 113}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Samuel, Lily, Logan, Jacob, William, Aiden, and Henry. In Samuel's words: \"Logan is a knave and Aiden is a knight\". In Lily's words: \"Jacob is a knight if and only if William is a knight\". Logan noted, \"If Lily is a knave then Samuel is a knight\". Jacob noted, \"If Henry is a knave then Samuel is a knave\". \"Aiden is a knight and Henry is a knave\" - William. Aiden was heard saying, \"If Lily is a knight then Henry is a knave\". Henry stated, \"William is a knave or Aiden is a knave\". So who is a knight and who is a knave?", "names": ["Samuel", "Lily", "Logan", "Jacob", "William", "Aiden", "Henry"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, true, true, false], "solution_text": "Samuel is a knave, Lily is a knight, Logan is a knight, Jacob is a knight, William is a knight, Aiden is a knight, and Henry is a knave.", "solution_text_format": "(1) Samuel is a knave\n(2) Lily is a knight\n(3) Logan is a knight\n(4) Jacob is a knight\n(5) William is a knight\n(6) Aiden is a knight\n(7) Henry is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Samuel is a knight. No contradiction is found in their claim that Logan is a knave and Aiden is a knight.", "Logan cannot be a knight, because this would contradict the claim of Samuel that Logan is a knave and Aiden is a knight.", "Logan cannot be a knave, because this would contradict the false claim of their own that If Lily is a knave then Samuel is a knight.", "We have exhausted all possibilities for Logan, so let us go back and reconsider Samuel.", "Assume Samuel is a knave. No contradiction is found in their false claim that Logan is a knave and Aiden is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that If Lily is a knave then Samuel is a knight.", "Assume Lily is a knight. No contradiction is found in their claim that Jacob is a knight if and only if William is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that If Henry is a knave then Samuel is a knave.", "Assume Henry is a knight. No contradiction is found in their claim that William is a knave or Aiden is a knave.", "William cannot be a knight, because this would contradict the claim of their own that Aiden is a knight and Henry is a knave.", "William cannot be a knave, because this would contradict the claim of Lily that Jacob is a knight if and only if William is a knight.", "We have exhausted all possibilities for William, so let us go back and reconsider Henry.", "Assume Henry is a knave. No contradiction is found in their false claim that William is a knave or Aiden is a knave.", "Assume William is a knight. No contradiction is found in their claim that Aiden is a knight and Henry is a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that If Lily is a knight then Henry is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('telling-truth', 5)), ('<=>', ('telling-truth', 3), ('telling-truth', 4)), ('->', ('lying', 1), ('telling-truth', 0)), ('->', ('lying', 6), ('lying', 0)), ('and', ('telling-truth', 5), ('lying', 6)), ('->', ('telling-truth', 1), ('lying', 6)), ('or', ('lying', 4), ('lying', 5)))", "index": 114}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Luke, Oliver, James, Avery, Jackson, Logan, and Owen. According to Luke, \"Avery is a knave\". Oliver noted, \"Logan is a knave if and only if Logan is a knight\". James noted, \"Avery is a knave and Luke is a knight\". As Avery put it, \"James is a knight or Logan is a knave\". As Jackson put it, \"If James is a knave then Logan is a knave\". Logan stated, \"Avery is a knave\". Owen remarked, \"If Oliver is a knight then Jackson is a knight\". So who is a knight and who is a knave?", "names": ["Luke", "Oliver", "James", "Avery", "Jackson", "Logan", "Owen"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true, true, false, true], "solution_text": "Luke is a knave, Oliver is a knave, James is a knave, Avery is a knight, Jackson is a knight, Logan is a knave, and Owen is a knight.", "solution_text_format": "(1) Luke is a knave\n(2) Oliver is a knave\n(3) James is a knave\n(4) Avery is a knight\n(5) Jackson is a knight\n(6) Logan is a knave\n(7) Owen is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Luke is a knight. No contradiction is found in their claim that Avery is a knave.", "Avery cannot be a knight, because this would contradict the claim of Luke that Avery is a knave.", "Assume Avery is a knave. No contradiction is found in their false claim that James is a knight or Logan is a knave.", "James cannot be a knight, because this would contradict the false claim of Avery that James is a knight or Logan is a knave.", "James cannot be a knave, because this would contradict the false claim of their own that Avery is a knave and Luke is a knight.", "We have exhausted all possibilities for James and Avery, so let us go back and reconsider Luke.", "Assume Luke is a knave. No contradiction is found in their false claim that Avery is a knave.", "Assume Avery is a knight. No contradiction is found in their claim that James is a knight or Logan is a knave.", "James cannot be a knight, because this would contradict the claim of their own that Avery is a knave and Luke is a knight.", "Assume James is a knave. No contradiction is found in their false claim that Avery is a knave and Luke is a knight.", "Logan cannot be a knight, because this would contradict the claim of Avery that James is a knight or Logan is a knave.", "Assume Logan is a knave. No contradiction is found in their false claim that Avery is a knave.", "Oliver cannot be a knight, because this would contradict the claim of their own that Logan is a knave if and only if Logan is a knight.", "Assume Oliver is a knave. No contradiction is found in their false claim that Logan is a knave if and only if Logan is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that If James is a knave then Logan is a knave.", "Assume Owen is a knight. No contradiction is found in their claim that If Oliver is a knight then Jackson is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 3), ('<=>', ('lying', 5), ('telling-truth', 5)), ('and', ('lying', 3), ('telling-truth', 0)), ('or', ('telling-truth', 2), ('lying', 5)), ('->', ('lying', 2), ('lying', 5)), ('lying', 3), ('->', ('telling-truth', 1), ('telling-truth', 4)))", "index": 115}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Liam, Charlotte, Grace, Samuel, Daniel, Sophia, and Oliver. According to Liam, \"Liam is a knight\". Charlotte noted, \"Liam is a knight\". Grace said that Liam is a knave if and only if Daniel is a knight. Samuel stated, \"Sophia is a knave if and only if Daniel is a knave\". Daniel told you that Samuel is not a knight. \"Oliver is a knight or Liam is a knight\" - Sophia. Oliver stated, \"Daniel is a knight\". So who is a knight and who is a knave?", "names": ["Liam", "Charlotte", "Grace", "Samuel", "Daniel", "Sophia", "Oliver"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true, false, false, false], "solution_text": "Liam is a knave, Charlotte is a knave, Grace is a knave, Samuel is a knight, Daniel is a knave, Sophia is a knave, and Oliver is a knave.", "solution_text_format": "(1) Liam is a knave\n(2) Charlotte is a knave\n(3) Grace is a knave\n(4) Samuel is a knight\n(5) Daniel is a knave\n(6) Sophia is a knave\n(7) Oliver is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Liam is a knight. No contradiction is found in their claim that Liam is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that Liam is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that Liam is a knave if and only if Daniel is a knight.", "Daniel cannot be a knight, because this would contradict the claim of Grace that Liam is a knave if and only if Daniel is a knight.", "Assume Daniel is a knave. No contradiction is found in their false claim that Samuel is not a knight.", "Assume Samuel is a knight. No contradiction is found in their claim that Sophia is a knave if and only if Daniel is a knave.", "Sophia cannot be a knight, because this would contradict the claim of Samuel that Sophia is a knave if and only if Daniel is a knave.", "Sophia cannot be a knave, because this would contradict the false claim of their own that Oliver is a knight or Liam is a knight.", "We have exhausted all possibilities for Sophia, so let us go back and reconsider Samuel.", "Samuel cannot be a knave, because this would contradict the false claim of Daniel that Samuel is not a knight.", "We have exhausted all possibilities for Samuel and Daniel, so let us go back and reconsider Grace.", "Assume Grace is a knave. No contradiction is found in their false claim that Liam is a knave if and only if Daniel is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that Samuel is not a knight.", "Samuel cannot be a knight, because this would contradict the claim of Daniel that Samuel is not a knight.", "Assume Samuel is a knave. No contradiction is found in their false claim that Sophia is a knave if and only if Daniel is a knave.", "Sophia cannot be a knight, because this would contradict the false claim of Samuel that Sophia is a knave if and only if Daniel is a knave.", "Sophia cannot be a knave, because this would contradict the false claim of their own that Oliver is a knight or Liam is a knight.", "We have exhausted all possibilities for Sophia and Samuel, so let us go back and reconsider Daniel.", "Daniel cannot be a knave, because this would contradict the false claim of Grace that Liam is a knave if and only if Daniel is a knight.", "We have exhausted all possibilities for Daniel and Grace, so let us go back and reconsider Charlotte.", "Charlotte cannot be a knave, because this would contradict the false claim of their own that Liam is a knight.", "We have exhausted all possibilities for Charlotte, so let us go back and reconsider Liam.", "Assume Liam is a knave. No contradiction is found in their false claim that Liam is a knight.", "Charlotte cannot be a knight, because this would contradict the claim of their own that Liam is a knight.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Liam is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that Liam is a knave if and only if Daniel is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that Samuel is not a knight.", "Samuel cannot be a knight, because this would contradict the claim of Daniel that Samuel is not a knight.", "Assume Samuel is a knave. No contradiction is found in their false claim that Sophia is a knave if and only if Daniel is a knave.", "Sophia cannot be a knight, because this would contradict the false claim of Samuel that Sophia is a knave if and only if Daniel is a knave.", "Assume Sophia is a knave. No contradiction is found in their false claim that Oliver is a knight or Liam is a knight.", "Oliver cannot be a knight, because this would contradict the false claim of Sophia that Oliver is a knight or Liam is a knight.", "Oliver cannot be a knave, because this would contradict the false claim of their own that Daniel is a knight.", "We have exhausted all possibilities for Oliver, Sophia, and Samuel, so let us go back and reconsider Daniel.", "Daniel cannot be a knave, because this would contradict the claim of Grace that Liam is a knave if and only if Daniel is a knight.", "We have exhausted all possibilities for Daniel, so let us go back and reconsider Grace.", "Assume Grace is a knave. No contradiction is found in their false claim that Liam is a knave if and only if Daniel is a knight.", "Daniel cannot be a knight, because this would contradict the false claim of Grace that Liam is a knave if and only if Daniel is a knight.", "Assume Daniel is a knave. No contradiction is found in their false claim that Samuel is not a knight.", "Assume Samuel is a knight. No contradiction is found in their claim that Sophia is a knave if and only if Daniel is a knave.", "Sophia cannot be a knight, because this would contradict the claim of Samuel that Sophia is a knave if and only if Daniel is a knave.", "Assume Sophia is a knave. No contradiction is found in their false claim that Oliver is a knight or Liam is a knight.", "Oliver cannot be a knight, because this would contradict the false claim of Sophia that Oliver is a knight or Liam is a knight.", "Assume Oliver is a knave. No contradiction is found in their false claim that Daniel is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 0), ('telling-truth', 0), ('<=>', ('lying', 0), ('telling-truth', 4)), ('<=>', ('lying', 5), ('lying', 4)), ('not', ('telling-truth', 3)), ('or', ('telling-truth', 6), ('telling-truth', 0)), ('telling-truth', 4))", "index": 116}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Charlotte, Evelyn, Noah, Amelia, Michael, Jackson, and Grace. Charlotte expressed that If Evelyn is a knave then Amelia is a knave. Evelyn said that Grace is a knave or Charlotte is a knave. \"Charlotte is a knight if and only if Michael is a knave\" - Noah. Amelia told you that Grace is a knave. Michael expressed that Jackson is a knave and Noah is a knight. \"Amelia is a knight if and only if Charlotte is a knight,\" Jackson mentioned. \"Charlotte is a knave or Evelyn is a knave\" - Grace. So who is a knight and who is a knave?", "names": ["Charlotte", "Evelyn", "Noah", "Amelia", "Michael", "Jackson", "Grace"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, false, true, false], "solution_text": "Charlotte is a knight, Evelyn is a knight, Noah is a knight, Amelia is a knight, Michael is a knave, Jackson is a knight, and Grace is a knave.", "solution_text_format": "(1) Charlotte is a knight\n(2) Evelyn is a knight\n(3) Noah is a knight\n(4) Amelia is a knight\n(5) Michael is a knave\n(6) Jackson is a knight\n(7) Grace is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Charlotte is a knight. No contradiction is found in their claim that If Evelyn is a knave then Amelia is a knave.", "Assume Evelyn is a knight. No contradiction is found in their claim that Grace is a knave or Charlotte is a knave.", "Grace cannot be a knight, because this would contradict the claim of Evelyn that Grace is a knave or Charlotte is a knave.", "Assume Grace is a knave. No contradiction is found in their false claim that Charlotte is a knave or Evelyn is a knave.", "Assume Amelia is a knight. No contradiction is found in their claim that Grace is a knave.", "Assume Noah is a knight. No contradiction is found in their claim that Charlotte is a knight if and only if Michael is a knave.", "Michael cannot be a knight, because this would contradict the claim of Noah that Charlotte is a knight if and only if Michael is a knave.", "Assume Michael is a knave. No contradiction is found in their false claim that Jackson is a knave and Noah is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that Amelia is a knight if and only if Charlotte is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 1), ('lying', 3)), ('or', ('lying', 6), ('lying', 0)), ('<=>', ('telling-truth', 0), ('lying', 4)), ('lying', 6), ('and', ('lying', 5), ('telling-truth', 2)), ('<=>', ('telling-truth', 3), ('telling-truth', 0)), ('or', ('lying', 0), ('lying', 1)))", "index": 117}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Emily, Charlotte, Jackson, Oliver, Sophia, Samuel, and David. According to Emily, \"Jackson is a knave if and only if Samuel is a knave\". Charlotte told you that Samuel is not a knave. Jackson stated, \"David is a knave and Sophia is a knight\". Oliver said, \"Emily is not a knight.\" Sophia expressed that Emily is a knave or David is a knave. \"Charlotte is a knave and Samuel is a knight,\" Samuel declared. David stated, \"David is a knight and Oliver is a knight\". So who is a knight and who is a knave?", "names": ["Emily", "Charlotte", "Jackson", "Oliver", "Sophia", "Samuel", "David"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true, true, false, false], "solution_text": "Emily is a knave, Charlotte is a knave, Jackson is a knight, Oliver is a knight, Sophia is a knight, Samuel is a knave, and David is a knave.", "solution_text_format": "(1) Emily is a knave\n(2) Charlotte is a knave\n(3) Jackson is a knight\n(4) Oliver is a knight\n(5) Sophia is a knight\n(6) Samuel is a knave\n(7) David is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Emily is a knight. No contradiction is found in their claim that Jackson is a knave if and only if Samuel is a knave.", "Assume Jackson is a knight. No contradiction is found in their claim that David is a knave and Sophia is a knight.", "David cannot be a knight, because this would contradict the claim of Jackson that David is a knave and Sophia is a knight.", "Assume David is a knave. No contradiction is found in their false claim that David is a knight and Oliver is a knight.", "Oliver cannot be a knight, because this would contradict the claim of their own that Emily is not a knight.", "Assume Oliver is a knave. No contradiction is found in their false claim that Emily is not a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that Emily is a knave or David is a knave.", "Assume Samuel is a knight. No contradiction is found in their claim that Charlotte is a knave and Samuel is a knight.", "Charlotte cannot be a knight, because this would contradict the claim of Samuel that Charlotte is a knave and Samuel is a knight.", "Charlotte cannot be a knave, because this would contradict the false claim of their own that Samuel is not a knave.", "We have exhausted all possibilities for Charlotte, so let us go back and reconsider Samuel.", "Samuel cannot be a knave, because this would contradict the claim of Emily that Jackson is a knave if and only if Samuel is a knave.", "We have exhausted all possibilities for Samuel, so let us go back and reconsider Sophia.", "Sophia cannot be a knave, because this would contradict the claim of Jackson that David is a knave and Sophia is a knight.", "We have exhausted all possibilities for Sophia, Oliver, and David, so let us go back and reconsider Jackson.", "Assume Jackson is a knave. No contradiction is found in their false claim that David is a knave and Sophia is a knight.", "Assume David is a knight. No contradiction is found in their claim that David is a knight and Oliver is a knight.", "Oliver cannot be a knight, because this would contradict the claim of their own that Emily is not a knight.", "Oliver cannot be a knave, because this would contradict the claim of David that David is a knight and Oliver is a knight.", "We have exhausted all possibilities for Oliver, so let us go back and reconsider David.", "Assume David is a knave. No contradiction is found in their false claim that David is a knight and Oliver is a knight.", "Oliver cannot be a knight, because this would contradict the claim of their own that Emily is not a knight.", "Assume Oliver is a knave. No contradiction is found in their false claim that Emily is not a knight.", "Sophia cannot be a knight, because this would contradict the false claim of Jackson that David is a knave and Sophia is a knight.", "Sophia cannot be a knave, because this would contradict the false claim of their own that Emily is a knave or David is a knave.", "We have exhausted all possibilities for Sophia, Oliver, David, and Jackson, so let us go back and reconsider Emily.", "Assume Emily is a knave. No contradiction is found in their false claim that Jackson is a knave if and only if Samuel is a knave.", "Assume Jackson is a knight. No contradiction is found in their claim that David is a knave and Sophia is a knight.", "David cannot be a knight, because this would contradict the claim of Jackson that David is a knave and Sophia is a knight.", "Assume David is a knave. No contradiction is found in their false claim that David is a knight and Oliver is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that Emily is not a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that Emily is a knave or David is a knave.", "Samuel cannot be a knight, because this would contradict the false claim of Emily that Jackson is a knave if and only if Samuel is a knave.", "Assume Samuel is a knave. No contradiction is found in their false claim that Charlotte is a knave and Samuel is a knight.", "Charlotte cannot be a knight, because this would contradict the claim of their own that Samuel is not a knave.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Samuel is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 2), ('lying', 5)), ('not', ('lying', 5)), ('and', ('lying', 6), ('telling-truth', 4)), ('not', ('telling-truth', 0)), ('or', ('lying', 0), ('lying', 6)), ('and', ('lying', 1), ('telling-truth', 5)), ('and', ('telling-truth', 6), ('telling-truth', 3)))", "index": 118}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Ava, Mia, Noah, Ethan, Michael, Chloe, and Abigail. According to Ava, \"Ethan is a knave if and only if Michael is a knight\". \"Ava is a knight or Michael is a knave\" - Mia. Noah expressed that Ethan is a knight and Michael is a knight. Ethan commented, \"Mia is a knight\". Michael said that Ethan is a knave or Abigail is a knight. Chloe expressed that Mia is a knight and Ethan is a knave. Abigail stated, \"Michael is a knight or Ethan is a knave\". So who is a knight and who is a knave?", "names": ["Ava", "Mia", "Noah", "Ethan", "Michael", "Chloe", "Abigail"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true, false, false, false], "solution_text": "Ava is a knight, Mia is a knight, Noah is a knave, Ethan is a knight, Michael is a knave, Chloe is a knave, and Abigail is a knave.", "solution_text_format": "(1) Ava is a knight\n(2) Mia is a knight\n(3) Noah is a knave\n(4) Ethan is a knight\n(5) Michael is a knave\n(6) Chloe is a knave\n(7) Abigail is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ava is a knight. No contradiction is found in their claim that Ethan is a knave if and only if Michael is a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that Mia is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that Ava is a knight or Michael is a knave.", "Michael cannot be a knight, because this would contradict the claim of Ava that Ethan is a knave if and only if Michael is a knight.", "Assume Michael is a knave. No contradiction is found in their false claim that Ethan is a knave or Abigail is a knight.", "Abigail cannot be a knight, because this would contradict the false claim of Michael that Ethan is a knave or Abigail is a knight.", "Assume Abigail is a knave. No contradiction is found in their false claim that Michael is a knight or Ethan is a knave.", "Noah cannot be a knight, because this would contradict the claim of their own that Ethan is a knight and Michael is a knight.", "Assume Noah is a knave. No contradiction is found in their false claim that Ethan is a knight and Michael is a knight.", "Chloe cannot be a knight, because this would contradict the claim of their own that Mia is a knight and Ethan is a knave.", "Assume Chloe is a knave. No contradiction is found in their false claim that Mia is a knight and Ethan is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 3), ('telling-truth', 4)), ('or', ('telling-truth', 0), ('lying', 4)), ('and', ('telling-truth', 3), ('telling-truth', 4)), ('telling-truth', 1), ('or', ('lying', 3), ('telling-truth', 6)), ('and', ('telling-truth', 1), ('lying', 3)), ('or', ('telling-truth', 4), ('lying', 3)))", "index": 119}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Owen, Emily, Lily, Henry, Harper, Aurora, and Sophia. As Owen put it, \"Owen is a knight\". As Emily put it, \"Lily is not a knave\". Lily remarked, \"If Sophia is a knight then Owen is a knight\". Henry stated, \"Emily is a knight or Emily is a knave\". Harper noted, \"Harper is a knight and Aurora is a knave\". Aurora was heard saying, \"Henry is a knight or Lily is a knight\". Sophia expressed that Lily is a knight. So who is a knight and who is a knave?", "names": ["Owen", "Emily", "Lily", "Henry", "Harper", "Aurora", "Sophia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, false, true, true], "solution_text": "Owen is a knight, Emily is a knight, Lily is a knight, Henry is a knight, Harper is a knave, Aurora is a knight, and Sophia is a knight.", "solution_text_format": "(1) Owen is a knight\n(2) Emily is a knight\n(3) Lily is a knight\n(4) Henry is a knight\n(5) Harper is a knave\n(6) Aurora is a knight\n(7) Sophia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Owen is a knight. No contradiction is found in their claim that Owen is a knight.", "Assume Emily is a knight. No contradiction is found in their claim that Lily is not a knave.", "Assume Lily is a knight. No contradiction is found in their claim that If Sophia is a knight then Owen is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that Lily is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that Emily is a knight or Emily is a knave.", "Assume Harper is a knight. No contradiction is found in their claim that Harper is a knight and Aurora is a knave.", "Aurora cannot be a knight, because this would contradict the claim of Harper that Harper is a knight and Aurora is a knave.", "Aurora cannot be a knave, because this would contradict the false claim of their own that Henry is a knight or Lily is a knight.", "We have exhausted all possibilities for Aurora, so let us go back and reconsider Harper.", "Assume Harper is a knave. No contradiction is found in their false claim that Harper is a knight and Aurora is a knave.", "Assume Aurora is a knight. No contradiction is found in their claim that Henry is a knight or Lily is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 0), ('not', ('lying', 2)), ('->', ('telling-truth', 6), ('telling-truth', 0)), ('or', ('telling-truth', 1), ('lying', 1)), ('and', ('telling-truth', 4), ('lying', 5)), ('or', ('telling-truth', 3), ('telling-truth', 2)), ('telling-truth', 2))", "index": 120}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Abigail, Riley, Penelope, Lucas, Evelyn, Lily, and Mia. Abigail said, \"Evelyn is a knave and Lily is a knight.\" Riley said that If Mia is a knight then Abigail is a knave. Penelope asserted: \"Evelyn is a knight and Lucas is a knave\". In a statement by Lucas: \"Mia is a knight and Evelyn is a knight\". Evelyn commented, \"Lily is a knight or Riley is a knight\". \"Mia is a knave or Evelyn is a knave,\" Lily mentioned. Mia commented, \"Penelope is a knight and Lucas is a knight\". So who is a knight and who is a knave?", "names": ["Abigail", "Riley", "Penelope", "Lucas", "Evelyn", "Lily", "Mia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false, true, true, false], "solution_text": "Abigail is a knave, Riley is a knight, Penelope is a knight, Lucas is a knave, Evelyn is a knight, Lily is a knight, and Mia is a knave.", "solution_text_format": "(1) Abigail is a knave\n(2) Riley is a knight\n(3) Penelope is a knight\n(4) Lucas is a knave\n(5) Evelyn is a knight\n(6) Lily is a knight\n(7) Mia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Abigail is a knight. No contradiction is found in their claim that Evelyn is a knave and Lily is a knight.", "Evelyn cannot be a knight, because this would contradict the claim of Abigail that Evelyn is a knave and Lily is a knight.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Lily is a knight or Riley is a knight.", "Lily cannot be a knight, because this would contradict the false claim of Evelyn that Lily is a knight or Riley is a knight.", "Lily cannot be a knave, because this would contradict the claim of Abigail that Evelyn is a knave and Lily is a knight.", "We have exhausted all possibilities for Lily and Evelyn, so let us go back and reconsider Abigail.", "Assume Abigail is a knave. No contradiction is found in their false claim that Evelyn is a knave and Lily is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that Lily is a knight or Riley is a knight.", "Assume Lily is a knight. No contradiction is found in their claim that Mia is a knave or Evelyn is a knave.", "Mia cannot be a knight, because this would contradict the claim of Lily that Mia is a knave or Evelyn is a knave.", "Assume Mia is a knave. No contradiction is found in their false claim that Penelope is a knight and Lucas is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that Evelyn is a knight and Lucas is a knave.", "Lucas cannot be a knight, because this would contradict the claim of Penelope that Evelyn is a knight and Lucas is a knave.", "Assume Lucas is a knave. No contradiction is found in their false claim that Mia is a knight and Evelyn is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that If Mia is a knight then Abigail is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 4), ('telling-truth', 5)), ('->', ('telling-truth', 6), ('lying', 0)), ('and', ('telling-truth', 4), ('lying', 3)), ('and', ('telling-truth', 6), ('telling-truth', 4)), ('or', ('telling-truth', 5), ('telling-truth', 1)), ('or', ('lying', 6), ('lying', 4)), ('and', ('telling-truth', 2), ('telling-truth', 3)))", "index": 121}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Olivia, Abigail, Amelia, Elizabeth, Harper, Aurora, and Sophia. According to Olivia, \"Amelia is not a knave\". \"Sophia is not a knight,\" Abigail claimed. \"If Sophia is a knight then Harper is a knight,\" Amelia mentioned. \"Harper is not a knave,\" Elizabeth declared. \"Abigail is a knave,\" Harper mentioned. Aurora stated, \"Elizabeth is a knight or Amelia is a knave\". \"If Elizabeth is a knave then Olivia is a knight,\" Sophia claimed. So who is a knight and who is a knave?", "names": ["Olivia", "Abigail", "Amelia", "Elizabeth", "Harper", "Aurora", "Sophia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, true, true, true], "solution_text": "Olivia is a knight, Abigail is a knave, Amelia is a knight, Elizabeth is a knight, Harper is a knight, Aurora is a knight, and Sophia is a knight.", "solution_text_format": "(1) Olivia is a knight\n(2) Abigail is a knave\n(3) Amelia is a knight\n(4) Elizabeth is a knight\n(5) Harper is a knight\n(6) Aurora is a knight\n(7) Sophia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Olivia is a knight. No contradiction is found in their claim that Amelia is not a knave.", "Assume Amelia is a knight. No contradiction is found in their claim that If Sophia is a knight then Harper is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that If Elizabeth is a knave then Olivia is a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Harper is not a knave.", "Assume Harper is a knight. No contradiction is found in their claim that Abigail is a knave.", "Abigail cannot be a knight, because this would contradict the claim of their own that Sophia is not a knight.", "Assume Abigail is a knave. No contradiction is found in their false claim that Sophia is not a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that Elizabeth is a knight or Amelia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 2)), ('not', ('telling-truth', 6)), ('->', ('telling-truth', 6), ('telling-truth', 4)), ('not', ('lying', 4)), ('lying', 1), ('or', ('telling-truth', 3), ('lying', 2)), ('->', ('lying', 3), ('telling-truth', 0)))", "index": 122}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: James, Ethan, Penelope, Henry, Oliver, Michael, and William. James expressed that William is a knight or Penelope is a knight. Ethan said, \"Penelope is a knave and Michael is a knight.\" \"Michael is a knight if and only if Ethan is a knave,\" Penelope declared. Henry remarked, \"James is a knave\". According to Oliver, \"William is a knave\". In Michael's words: \"If James is a knight then William is a knave\". As William put it, \"Penelope is a knight\". So who is a knight and who is a knave?", "names": ["James", "Ethan", "Penelope", "Henry", "Oliver", "Michael", "William"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true, true, true, false], "solution_text": "James is a knave, Ethan is a knight, Penelope is a knave, Henry is a knight, Oliver is a knight, Michael is a knight, and William is a knave.", "solution_text_format": "(1) James is a knave\n(2) Ethan is a knight\n(3) Penelope is a knave\n(4) Henry is a knight\n(5) Oliver is a knight\n(6) Michael is a knight\n(7) William is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume James is a knight. No contradiction is found in their claim that William is a knight or Penelope is a knight.", "Assume William is a knight. No contradiction is found in their claim that Penelope is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that Michael is a knight if and only if Ethan is a knave.", "Michael cannot be a knight, because this would contradict the claim of their own that If James is a knight then William is a knave.", "Assume Michael is a knave. No contradiction is found in their false claim that If James is a knight then William is a knave.", "Ethan cannot be a knight, because this would contradict the claim of their own that Penelope is a knave and Michael is a knight.", "Ethan cannot be a knave, because this would contradict the claim of Penelope that Michael is a knight if and only if Ethan is a knave.", "We have exhausted all possibilities for Ethan and Michael, so let us go back and reconsider Penelope.", "Penelope cannot be a knave, because this would contradict the claim of William that Penelope is a knight.", "We have exhausted all possibilities for Penelope, so let us go back and reconsider William.", "Assume William is a knave. No contradiction is found in their false claim that Penelope is a knight.", "Penelope cannot be a knight, because this would contradict the false claim of William that Penelope is a knight.", "Penelope cannot be a knave, because this would contradict the claim of James that William is a knight or Penelope is a knight.", "We have exhausted all possibilities for Penelope and William, so let us go back and reconsider James.", "Assume James is a knave. No contradiction is found in their false claim that William is a knight or Penelope is a knight.", "William cannot be a knight, because this would contradict the false claim of James that William is a knight or Penelope is a knight.", "Assume William is a knave. No contradiction is found in their false claim that Penelope is a knight.", "Penelope cannot be a knight, because this would contradict the false claim of James that William is a knight or Penelope is a knight.", "Assume Penelope is a knave. No contradiction is found in their false claim that Michael is a knight if and only if Ethan is a knave.", "Assume Michael is a knight. No contradiction is found in their claim that If James is a knight then William is a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that Penelope is a knave and Michael is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that James is a knave.", "Assume Oliver is a knight. No contradiction is found in their claim that William is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 6), ('telling-truth', 2)), ('and', ('lying', 2), ('telling-truth', 5)), ('<=>', ('telling-truth', 5), ('lying', 1)), ('lying', 0), ('lying', 6), ('->', ('telling-truth', 0), ('lying', 6)), ('telling-truth', 2))", "index": 123}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Noah, Scarlett, Aurora, Oliver, James, Harper, and Mia. \"Mia is a knight or Mia is a knave\" - Noah. Scarlett remarked, \"Mia is a knight\". \"Oliver is not a knight,\" Aurora declared. In a statement by Oliver: \"Aurora is a knave or Aurora is a knight\". James stated, \"Scarlett is a knight and Aurora is a knight\". According to Harper, \"If Noah is a knave then Scarlett is a knave\". Mia said that Scarlett is a knave and Mia is a knight. So who is a knight and who is a knave?", "names": ["Noah", "Scarlett", "Aurora", "Oliver", "James", "Harper", "Mia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, false, true, false], "solution_text": "Noah is a knight, Scarlett is a knave, Aurora is a knave, Oliver is a knight, James is a knave, Harper is a knight, and Mia is a knave.", "solution_text_format": "(1) Noah is a knight\n(2) Scarlett is a knave\n(3) Aurora is a knave\n(4) Oliver is a knight\n(5) James is a knave\n(6) Harper is a knight\n(7) Mia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Noah is a knight. No contradiction is found in their claim that Mia is a knight or Mia is a knave.", "Assume Mia is a knight. No contradiction is found in their claim that Scarlett is a knave and Mia is a knight.", "Scarlett cannot be a knight, because this would contradict the claim of Mia that Scarlett is a knave and Mia is a knight.", "Scarlett cannot be a knave, because this would contradict the false claim of their own that Mia is a knight.", "We have exhausted all possibilities for Scarlett, so let us go back and reconsider Mia.", "Assume Mia is a knave. No contradiction is found in their false claim that Scarlett is a knave and Mia is a knight.", "Scarlett cannot be a knight, because this would contradict the claim of their own that Mia is a knight.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Mia is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that Oliver is not a knight.", "Oliver cannot be a knight, because this would contradict the claim of Aurora that Oliver is not a knight.", "Oliver cannot be a knave, because this would contradict the false claim of their own that Aurora is a knave or Aurora is a knight.", "We have exhausted all possibilities for Oliver, so let us go back and reconsider Aurora.", "Assume Aurora is a knave. No contradiction is found in their false claim that Oliver is not a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that Aurora is a knave or Aurora is a knight.", "James cannot be a knight, because this would contradict the claim of their own that Scarlett is a knight and Aurora is a knight.", "Assume James is a knave. No contradiction is found in their false claim that Scarlett is a knight and Aurora is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that If Noah is a knave then Scarlett is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 6), ('lying', 6)), ('telling-truth', 6), ('not', ('telling-truth', 3)), ('or', ('lying', 2), ('telling-truth', 2)), ('and', ('telling-truth', 1), ('telling-truth', 2)), ('->', ('lying', 0), ('lying', 1)), ('and', ('lying', 1), ('telling-truth', 6)))", "index": 124}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Isabella, William, Emily, James, Jackson, Logan, and Aria. According to Isabella, \"If Logan is a knight then Emily is a knight\". In a statement by William: \"Isabella is not a knight\". In Emily's words: \"William is a knight if and only if James is a knight\". As James put it, \"Jackson is not a knight\". \"If Logan is a knave then James is a knight,\" Jackson mentioned. Logan was heard saying, \"Emily is a knight and Isabella is a knight\". Aria commented, \"If Isabella is a knight then William is a knight\". So who is a knight and who is a knave?", "names": ["Isabella", "William", "Emily", "James", "Jackson", "Logan", "Aria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false, true, true, false], "solution_text": "Isabella is a knight, William is a knave, Emily is a knight, James is a knave, Jackson is a knight, Logan is a knight, and Aria is a knave.", "solution_text_format": "(1) Isabella is a knight\n(2) William is a knave\n(3) Emily is a knight\n(4) James is a knave\n(5) Jackson is a knight\n(6) Logan is a knight\n(7) Aria is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Isabella is a knight. No contradiction is found in their claim that If Logan is a knight then Emily is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that Emily is a knight and Isabella is a knight.", "Assume Emily is a knight. No contradiction is found in their claim that William is a knight if and only if James is a knight.", "William cannot be a knight, because this would contradict the claim of their own that Isabella is not a knight.", "Assume William is a knave. No contradiction is found in their false claim that Isabella is not a knight.", "James cannot be a knight, because this would contradict the claim of Emily that William is a knight if and only if James is a knight.", "Assume James is a knave. No contradiction is found in their false claim that Jackson is not a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that If Logan is a knave then James is a knight.", "Aria cannot be a knight, because this would contradict the claim of their own that If Isabella is a knight then William is a knight.", "Assume Aria is a knave. No contradiction is found in their false claim that If Isabella is a knight then William is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 5), ('telling-truth', 2)), ('not', ('telling-truth', 0)), ('<=>', ('telling-truth', 1), ('telling-truth', 3)), ('not', ('telling-truth', 4)), ('->', ('lying', 5), ('telling-truth', 3)), ('and', ('telling-truth', 2), ('telling-truth', 0)), ('->', ('telling-truth', 0), ('telling-truth', 1)))", "index": 125}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Lucas, Amelia, Ethan, Liam, James, Scarlett, and Mason. In Lucas's words: \"Mason is not a knight\". \"Liam is a knight if and only if Liam is a knave,\" Amelia declared. Ethan was heard saying, \"James is a knight and Liam is a knight\". Liam said, \"Scarlett is a knight and James is a knave.\" James said, \"Scarlett is not a knight.\" Scarlett said, \"If Amelia is a knight then Liam is a knight.\" According to Mason, \"Ethan is not a knave\". So who is a knight and who is a knave?", "names": ["Lucas", "Amelia", "Ethan", "Liam", "James", "Scarlett", "Mason"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, false, true, false], "solution_text": "Lucas is a knight, Amelia is a knave, Ethan is a knave, Liam is a knight, James is a knave, Scarlett is a knight, and Mason is a knave.", "solution_text_format": "(1) Lucas is a knight\n(2) Amelia is a knave\n(3) Ethan is a knave\n(4) Liam is a knight\n(5) James is a knave\n(6) Scarlett is a knight\n(7) Mason is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Lucas is a knight. No contradiction is found in their claim that Mason is not a knight.", "Mason cannot be a knight, because this would contradict the claim of Lucas that Mason is not a knight.", "Assume Mason is a knave. No contradiction is found in their false claim that Ethan is not a knave.", "Ethan cannot be a knight, because this would contradict the false claim of Mason that Ethan is not a knave.", "Assume Ethan is a knave. No contradiction is found in their false claim that James is a knight and Liam is a knight.", "Assume James is a knight. No contradiction is found in their claim that Scarlett is not a knight.", "Scarlett cannot be a knight, because this would contradict the claim of James that Scarlett is not a knight.", "Assume Scarlett is a knave. No contradiction is found in their false claim that If Amelia is a knight then Liam is a knight.", "Amelia cannot be a knight, because this would contradict the claim of their own that Liam is a knight if and only if Liam is a knave.", "Amelia cannot be a knave, because this would contradict the false claim of Scarlett that If Amelia is a knight then Liam is a knight.", "We have exhausted all possibilities for Amelia and Scarlett, so let us go back and reconsider James.", "Assume James is a knave. No contradiction is found in their false claim that Scarlett is not a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that If Amelia is a knight then Liam is a knight.", "Amelia cannot be a knight, because this would contradict the claim of their own that Liam is a knight if and only if Liam is a knave.", "Assume Amelia is a knave. No contradiction is found in their false claim that Liam is a knight if and only if Liam is a knave.", "Assume Liam is a knight. No contradiction is found in their claim that Scarlett is a knight and James is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 6)), ('<=>', ('telling-truth', 3), ('lying', 3)), ('and', ('telling-truth', 4), ('telling-truth', 3)), ('and', ('telling-truth', 5), ('lying', 4)), ('not', ('telling-truth', 5)), ('->', ('telling-truth', 1), ('telling-truth', 3)), ('not', ('lying', 2)))", "index": 126}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Emily, Riley, Henry, Zoey, Noah, Jackson, and Abigail. Emily stated, \"If Abigail is a knave then Henry is a knave\". Riley expressed that Jackson is a knight and Noah is a knight. Henry asserted: \"Abigail is a knight and Emily is a knave\". In a statement by Zoey: \"Jackson is not a knave\". Noah commented, \"Henry is a knight\". Jackson expressed that Riley is not a knight. Abigail said, \"If Noah is a knight then Emily is a knight.\" So who is a knight and who is a knave?", "names": ["Emily", "Riley", "Henry", "Zoey", "Noah", "Jackson", "Abigail"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, false, true, true], "solution_text": "Emily is a knight, Riley is a knave, Henry is a knave, Zoey is a knight, Noah is a knave, Jackson is a knight, and Abigail is a knight.", "solution_text_format": "(1) Emily is a knight\n(2) Riley is a knave\n(3) Henry is a knave\n(4) Zoey is a knight\n(5) Noah is a knave\n(6) Jackson is a knight\n(7) Abigail is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Emily is a knight. No contradiction is found in their claim that If Abigail is a knave then Henry is a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that If Noah is a knight then Emily is a knight.", "Assume Noah is a knight. No contradiction is found in their claim that Henry is a knight.", "Henry cannot be a knight, because this would contradict the claim of their own that Abigail is a knight and Emily is a knave.", "Henry cannot be a knave, because this would contradict the claim of Noah that Henry is a knight.", "We have exhausted all possibilities for Henry, so let us go back and reconsider Noah.", "Assume Noah is a knave. No contradiction is found in their false claim that Henry is a knight.", "Henry cannot be a knight, because this would contradict the claim of their own that Abigail is a knight and Emily is a knave.", "Assume Henry is a knave. No contradiction is found in their false claim that Abigail is a knight and Emily is a knave.", "Riley cannot be a knight, because this would contradict the claim of their own that Jackson is a knight and Noah is a knight.", "Assume Riley is a knave. No contradiction is found in their false claim that Jackson is a knight and Noah is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that Riley is not a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that Jackson is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 6), ('lying', 2)), ('and', ('telling-truth', 5), ('telling-truth', 4)), ('and', ('telling-truth', 6), ('lying', 0)), ('not', ('lying', 5)), ('telling-truth', 2), ('not', ('telling-truth', 1)), ('->', ('telling-truth', 4), ('telling-truth', 0)))", "index": 127}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Harper, Avery, Elizabeth, Noah, Charlotte, Ella, and Ava. \"Charlotte is a knight,\" Harper claimed. In a statement by Avery: \"If Ava is a knight then Harper is a knave\". Elizabeth noted, \"Harper is a knave\". Noah asserted: \"Elizabeth is a knight or Harper is a knave\". In a statement by Charlotte: \"Avery is a knight and Ava is a knight\". As Ella put it, \"Charlotte is a knave\". As Ava put it, \"Harper is a knight\". So who is a knight and who is a knave?", "names": ["Harper", "Avery", "Elizabeth", "Noah", "Charlotte", "Ella", "Ava"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, false, true, false], "solution_text": "Harper is a knave, Avery is a knight, Elizabeth is a knight, Noah is a knight, Charlotte is a knave, Ella is a knight, and Ava is a knave.", "solution_text_format": "(1) Harper is a knave\n(2) Avery is a knight\n(3) Elizabeth is a knight\n(4) Noah is a knight\n(5) Charlotte is a knave\n(6) Ella is a knight\n(7) Ava is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Harper is a knight. No contradiction is found in their claim that Charlotte is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that Avery is a knight and Ava is a knight.", "Assume Avery is a knight. No contradiction is found in their claim that If Ava is a knight then Harper is a knave.", "Ava cannot be a knight, because this would contradict the claim of Avery that If Ava is a knight then Harper is a knave.", "Ava cannot be a knave, because this would contradict the claim of Charlotte that Avery is a knight and Ava is a knight.", "We have exhausted all possibilities for Ava, so let us go back and reconsider Avery.", "Avery cannot be a knave, because this would contradict the claim of Charlotte that Avery is a knight and Ava is a knight.", "We have exhausted all possibilities for Avery, so let us go back and reconsider Charlotte.", "Charlotte cannot be a knave, because this would contradict the claim of Harper that Charlotte is a knight.", "We have exhausted all possibilities for Charlotte, so let us go back and reconsider Harper.", "Assume Harper is a knave. No contradiction is found in their false claim that Charlotte is a knight.", "Charlotte cannot be a knight, because this would contradict the false claim of Harper that Charlotte is a knight.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Avery is a knight and Ava is a knight.", "Assume Avery is a knight. No contradiction is found in their claim that If Ava is a knight then Harper is a knave.", "Ava cannot be a knight, because this would contradict the false claim of Charlotte that Avery is a knight and Ava is a knight.", "Assume Ava is a knave. No contradiction is found in their false claim that Harper is a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Harper is a knave.", "Assume Noah is a knight. No contradiction is found in their claim that Elizabeth is a knight or Harper is a knave.", "Assume Ella is a knight. No contradiction is found in their claim that Charlotte is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 4), ('->', ('telling-truth', 6), ('lying', 0)), ('lying', 0), ('or', ('telling-truth', 2), ('lying', 0)), ('and', ('telling-truth', 1), ('telling-truth', 6)), ('lying', 4), ('telling-truth', 0))", "index": 128}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Isabella, Sophia, Liam, Sebastian, Michael, Alexander, and Aiden. Isabella asserted: \"Liam is a knight\". Sophia said, \"Sebastian is a knight.\" In a statement by Liam: \"If Alexander is a knight then Isabella is a knight\". Sebastian remarked, \"Alexander is a knave\". Michael commented, \"Sebastian is a knight if and only if Sophia is a knave\". Alexander stated, \"Liam is not a knave\". Aiden asserted: \"If Isabella is a knave then Sebastian is a knight\". So who is a knight and who is a knave?", "names": ["Isabella", "Sophia", "Liam", "Sebastian", "Michael", "Alexander", "Aiden"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false, false, true, true], "solution_text": "Isabella is a knight, Sophia is a knave, Liam is a knight, Sebastian is a knave, Michael is a knave, Alexander is a knight, and Aiden is a knight.", "solution_text_format": "(1) Isabella is a knight\n(2) Sophia is a knave\n(3) Liam is a knight\n(4) Sebastian is a knave\n(5) Michael is a knave\n(6) Alexander is a knight\n(7) Aiden is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Isabella is a knight. No contradiction is found in their claim that Liam is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that If Alexander is a knight then Isabella is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that Liam is not a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that Sebastian is a knight.", "Sebastian cannot be a knight, because this would contradict the claim of their own that Alexander is a knave.", "Sebastian cannot be a knave, because this would contradict the claim of Sophia that Sebastian is a knight.", "We have exhausted all possibilities for Sebastian, so let us go back and reconsider Sophia.", "Assume Sophia is a knave. No contradiction is found in their false claim that Sebastian is a knight.", "Sebastian cannot be a knight, because this would contradict the false claim of Sophia that Sebastian is a knight.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Alexander is a knave.", "Michael cannot be a knight, because this would contradict the claim of their own that Sebastian is a knight if and only if Sophia is a knave.", "Assume Michael is a knave. No contradiction is found in their false claim that Sebastian is a knight if and only if Sophia is a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that If Isabella is a knave then Sebastian is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 2), ('telling-truth', 3), ('->', ('telling-truth', 5), ('telling-truth', 0)), ('lying', 5), ('<=>', ('telling-truth', 3), ('lying', 1)), ('not', ('lying', 2)), ('->', ('lying', 0), ('telling-truth', 3)))", "index": 129}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Harper, Jackson, Henry, Grace, Owen, Liam, and Aria. Harper asserted: \"Grace is a knave\". Jackson said, \"Henry is a knave or Aria is a knave.\" \"Liam is a knave if and only if Owen is a knave,\" Henry claimed. Grace said that Jackson is a knave and Harper is a knight. Owen noted, \"If Henry is a knave then Jackson is a knight\". Liam asserted: \"Aria is a knight and Henry is a knight\". \"Henry is a knight and Grace is a knave\" - Aria. So who is a knight and who is a knave?", "names": ["Harper", "Jackson", "Henry", "Grace", "Owen", "Liam", "Aria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false, true, false, false], "solution_text": "Harper is a knight, Jackson is a knight, Henry is a knave, Grace is a knave, Owen is a knight, Liam is a knave, and Aria is a knave.", "solution_text_format": "(1) Harper is a knight\n(2) Jackson is a knight\n(3) Henry is a knave\n(4) Grace is a knave\n(5) Owen is a knight\n(6) Liam is a knave\n(7) Aria is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Harper is a knight. No contradiction is found in their claim that Grace is a knave.", "Grace cannot be a knight, because this would contradict the claim of Harper that Grace is a knave.", "Assume Grace is a knave. No contradiction is found in their false claim that Jackson is a knave and Harper is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that Henry is a knave or Aria is a knave.", "Assume Henry is a knight. No contradiction is found in their claim that Liam is a knave if and only if Owen is a knave.", "Assume Liam is a knight. No contradiction is found in their claim that Aria is a knight and Henry is a knight.", "Aria cannot be a knight, because this would contradict the claim of Jackson that Henry is a knave or Aria is a knave.", "Aria cannot be a knave, because this would contradict the claim of Liam that Aria is a knight and Henry is a knight.", "We have exhausted all possibilities for Aria, so let us go back and reconsider Liam.", "Assume Liam is a knave. No contradiction is found in their false claim that Aria is a knight and Henry is a knight.", "Aria cannot be a knight, because this would contradict the claim of Jackson that Henry is a knave or Aria is a knave.", "Aria cannot be a knave, because this would contradict the false claim of their own that Henry is a knight and Grace is a knave.", "We have exhausted all possibilities for Aria and Liam, so let us go back and reconsider Henry.", "Assume Henry is a knave. No contradiction is found in their false claim that Liam is a knave if and only if Owen is a knave.", "Liam cannot be a knight, because this would contradict the claim of their own that Aria is a knight and Henry is a knight.", "Assume Liam is a knave. No contradiction is found in their false claim that Aria is a knight and Henry is a knight.", "Aria cannot be a knight, because this would contradict the claim of their own that Henry is a knight and Grace is a knave.", "Assume Aria is a knave. No contradiction is found in their false claim that Henry is a knight and Grace is a knave.", "Assume Owen is a knight. No contradiction is found in their claim that If Henry is a knave then Jackson is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 3), ('or', ('lying', 2), ('lying', 6)), ('<=>', ('lying', 5), ('lying', 4)), ('and', ('lying', 1), ('telling-truth', 0)), ('->', ('lying', 2), ('telling-truth', 1)), ('and', ('telling-truth', 6), ('telling-truth', 2)), ('and', ('telling-truth', 2), ('lying', 3)))", "index": 130}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Alexander, Matthew, Olivia, Evelyn, Jacob, Charlotte, and Isabella. \"Evelyn is a knight if and only if Evelyn is a knave,\" Alexander mentioned. Matthew asserted: \"Isabella is a knight\". Olivia said that Olivia is a knight or Jacob is a knight. Evelyn asserted: \"Alexander is a knight\". Jacob remarked, \"Charlotte is a knight and Alexander is a knave\". In Charlotte's words: \"Alexander is not a knight\". In Isabella's words: \"Evelyn is not a knave\". So who is a knight and who is a knave?", "names": ["Alexander", "Matthew", "Olivia", "Evelyn", "Jacob", "Charlotte", "Isabella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false, true, true, false], "solution_text": "Alexander is a knave, Matthew is a knave, Olivia is a knight, Evelyn is a knave, Jacob is a knight, Charlotte is a knight, and Isabella is a knave.", "solution_text_format": "(1) Alexander is a knave\n(2) Matthew is a knave\n(3) Olivia is a knight\n(4) Evelyn is a knave\n(5) Jacob is a knight\n(6) Charlotte is a knight\n(7) Isabella is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Alexander cannot be a knight, because this would contradict the claim of their own that Evelyn is a knight if and only if Evelyn is a knave.", "Assume Alexander is a knave. No contradiction is found in their false claim that Evelyn is a knight if and only if Evelyn is a knave.", "Evelyn cannot be a knight, because this would contradict the claim of their own that Alexander is a knight.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Alexander is a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that Isabella is a knight.", "Isabella cannot be a knight, because this would contradict the claim of their own that Evelyn is not a knave.", "Isabella cannot be a knave, because this would contradict the claim of Matthew that Isabella is a knight.", "We have exhausted all possibilities for Isabella, so let us go back and reconsider Matthew.", "Assume Matthew is a knave. No contradiction is found in their false claim that Isabella is a knight.", "Isabella cannot be a knight, because this would contradict the false claim of Matthew that Isabella is a knight.", "Assume Isabella is a knave. No contradiction is found in their false claim that Evelyn is not a knave.", "Assume Olivia is a knight. No contradiction is found in their claim that Olivia is a knight or Jacob is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that Charlotte is a knight and Alexander is a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that Alexander is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 3), ('lying', 3)), ('telling-truth', 6), ('or', ('telling-truth', 2), ('telling-truth', 4)), ('telling-truth', 0), ('and', ('telling-truth', 5), ('lying', 0)), ('not', ('telling-truth', 0)), ('not', ('lying', 3)))", "index": 131}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: William, Abigail, Aiden, Evelyn, Sophia, Victoria, and Owen. William expressed that Sophia is a knight. Abigail said, \"William is not a knight.\" Aiden stated, \"Evelyn is a knight or Aiden is a knight\". Evelyn remarked, \"Abigail is a knight or Abigail is a knave\". Sophia was heard saying, \"Evelyn is not a knave\". Victoria said, \"William is a knight or Abigail is a knight.\" According to Owen, \"Victoria is a knight and Abigail is a knight\". So who is a knight and who is a knave?", "names": ["William", "Abigail", "Aiden", "Evelyn", "Sophia", "Victoria", "Owen"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, true, true, false], "solution_text": "William is a knight, Abigail is a knave, Aiden is a knight, Evelyn is a knight, Sophia is a knight, Victoria is a knight, and Owen is a knave.", "solution_text_format": "(1) William is a knight\n(2) Abigail is a knave\n(3) Aiden is a knight\n(4) Evelyn is a knight\n(5) Sophia is a knight\n(6) Victoria is a knight\n(7) Owen is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume William is a knight. No contradiction is found in their claim that Sophia is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that Evelyn is not a knave.", "Assume Evelyn is a knight. No contradiction is found in their claim that Abigail is a knight or Abigail is a knave.", "Abigail cannot be a knight, because this would contradict the claim of their own that William is not a knight.", "Assume Abigail is a knave. No contradiction is found in their false claim that William is not a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that Evelyn is a knight or Aiden is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that William is a knight or Abigail is a knight.", "Owen cannot be a knight, because this would contradict the claim of their own that Victoria is a knight and Abigail is a knight.", "Assume Owen is a knave. No contradiction is found in their false claim that Victoria is a knight and Abigail is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 4), ('not', ('telling-truth', 0)), ('or', ('telling-truth', 3), ('telling-truth', 2)), ('or', ('telling-truth', 1), ('lying', 1)), ('not', ('lying', 3)), ('or', ('telling-truth', 0), ('telling-truth', 1)), ('and', ('telling-truth', 5), ('telling-truth', 1)))", "index": 132}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Joseph, James, Ella, Sebastian, Aria, Benjamin, and Lily. Joseph commented, \"Sebastian is a knight or James is a knight\". James remarked, \"Ella is a knight and Joseph is a knight\". Ella stated, \"Benjamin is not a knight\". \"Benjamin is not a knight,\" Sebastian declared. Aria told you that Joseph is a knight if and only if Benjamin is a knight. Benjamin said that Lily is a knave if and only if Aria is a knight. \"Benjamin is a knight or Aria is a knave,\" Lily claimed. So who is a knight and who is a knave?", "names": ["Joseph", "James", "Ella", "Sebastian", "Aria", "Benjamin", "Lily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, false, false, true, true], "solution_text": "Joseph is a knave, James is a knave, Ella is a knave, Sebastian is a knave, Aria is a knave, Benjamin is a knight, and Lily is a knight.", "solution_text_format": "(1) Joseph is a knave\n(2) James is a knave\n(3) Ella is a knave\n(4) Sebastian is a knave\n(5) Aria is a knave\n(6) Benjamin is a knight\n(7) Lily is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Joseph is a knight. No contradiction is found in their claim that Sebastian is a knight or James is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Benjamin is not a knight.", "Benjamin cannot be a knight, because this would contradict the claim of Sebastian that Benjamin is not a knight.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Lily is a knave if and only if Aria is a knight.", "Assume Lily is a knight. No contradiction is found in their claim that Benjamin is a knight or Aria is a knave.", "Aria cannot be a knight, because this would contradict the claim of their own that Joseph is a knight if and only if Benjamin is a knight.", "Aria cannot be a knave, because this would contradict the false claim of Benjamin that Lily is a knave if and only if Aria is a knight.", "We have exhausted all possibilities for Aria, so let us go back and reconsider Lily.", "Assume Lily is a knave. No contradiction is found in their false claim that Benjamin is a knight or Aria is a knave.", "Aria cannot be a knight, because this would contradict the claim of their own that Joseph is a knight if and only if Benjamin is a knight.", "Aria cannot be a knave, because this would contradict the false claim of Lily that Benjamin is a knight or Aria is a knave.", "We have exhausted all possibilities for Aria, Lily, and Benjamin, so let us go back and reconsider Sebastian.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Benjamin is not a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that Lily is a knave if and only if Aria is a knight.", "Assume Lily is a knight. No contradiction is found in their claim that Benjamin is a knight or Aria is a knave.", "Aria cannot be a knight, because this would contradict the claim of Benjamin that Lily is a knave if and only if Aria is a knight.", "Aria cannot be a knave, because this would contradict the false claim of their own that Joseph is a knight if and only if Benjamin is a knight.", "We have exhausted all possibilities for Aria, so let us go back and reconsider Lily.", "Lily cannot be a knave, because this would contradict the false claim of their own that Benjamin is a knight or Aria is a knave.", "We have exhausted all possibilities for Lily, so let us go back and reconsider Benjamin.", "Benjamin cannot be a knave, because this would contradict the false claim of Sebastian that Benjamin is not a knight.", "We have exhausted all possibilities for Benjamin and Sebastian, so let us go back and reconsider Joseph.", "Assume Joseph is a knave. No contradiction is found in their false claim that Sebastian is a knight or James is a knight.", "Sebastian cannot be a knight, because this would contradict the false claim of Joseph that Sebastian is a knight or James is a knight.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Benjamin is not a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that Lily is a knave if and only if Aria is a knight.", "Assume Lily is a knight. No contradiction is found in their claim that Benjamin is a knight or Aria is a knave.", "Aria cannot be a knight, because this would contradict the claim of their own that Joseph is a knight if and only if Benjamin is a knight.", "Assume Aria is a knave. No contradiction is found in their false claim that Joseph is a knight if and only if Benjamin is a knight.", "James cannot be a knight, because this would contradict the false claim of Joseph that Sebastian is a knight or James is a knight.", "Assume James is a knave. No contradiction is found in their false claim that Ella is a knight and Joseph is a knight.", "Ella cannot be a knight, because this would contradict the claim of their own that Benjamin is not a knight.", "Assume Ella is a knave. No contradiction is found in their false claim that Benjamin is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 3), ('telling-truth', 1)), ('and', ('telling-truth', 2), ('telling-truth', 0)), ('not', ('telling-truth', 5)), ('not', ('telling-truth', 5)), ('<=>', ('telling-truth', 0), ('telling-truth', 5)), ('<=>', ('lying', 6), ('telling-truth', 4)), ('or', ('telling-truth', 5), ('lying', 4)))", "index": 133}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Zoey, Ella, Jack, Daniel, Jackson, Evelyn, and William. Zoey noted, \"Zoey is a knight or William is a knight\". \"If Evelyn is a knave then Evelyn is a knight,\" Ella claimed. \"Zoey is a knight,\" Jack mentioned. Daniel stated, \"Jackson is a knave or Jack is a knight\". Jackson noted, \"If Evelyn is a knight then William is a knave\". According to Evelyn, \"Zoey is a knave and Jackson is a knight\". In a statement by William: \"Zoey is a knave and Evelyn is a knight\". So who is a knight and who is a knave?", "names": ["Zoey", "Ella", "Jack", "Daniel", "Jackson", "Evelyn", "William"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, true, false, false], "solution_text": "Zoey is a knight, Ella is a knave, Jack is a knight, Daniel is a knight, Jackson is a knight, Evelyn is a knave, and William is a knave.", "solution_text_format": "(1) Zoey is a knight\n(2) Ella is a knave\n(3) Jack is a knight\n(4) Daniel is a knight\n(5) Jackson is a knight\n(6) Evelyn is a knave\n(7) William is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Zoey is a knight. No contradiction is found in their claim that Zoey is a knight or William is a knight.", "William cannot be a knight, because this would contradict the claim of their own that Zoey is a knave and Evelyn is a knight.", "Assume William is a knave. No contradiction is found in their false claim that Zoey is a knave and Evelyn is a knight.", "Evelyn cannot be a knight, because this would contradict the claim of their own that Zoey is a knave and Jackson is a knight.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Zoey is a knave and Jackson is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that If Evelyn is a knight then William is a knave.", "Ella cannot be a knight, because this would contradict the claim of their own that If Evelyn is a knave then Evelyn is a knight.", "Assume Ella is a knave. No contradiction is found in their false claim that If Evelyn is a knave then Evelyn is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that Zoey is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that Jackson is a knave or Jack is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 0), ('telling-truth', 6)), ('->', ('lying', 5), ('telling-truth', 5)), ('telling-truth', 0), ('or', ('lying', 4), ('telling-truth', 2)), ('->', ('telling-truth', 5), ('lying', 6)), ('and', ('lying', 0), ('telling-truth', 4)), ('and', ('lying', 0), ('telling-truth', 5)))", "index": 134}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Samuel, Michael, Daniel, Liam, Mason, Elizabeth, and Aria. Samuel stated, \"Michael is not a knight\". In Michael's words: \"Mason is a knave\". Daniel expressed that Aria is a knave. \"Liam is a knight or Samuel is a knight,\" Liam claimed. \"Daniel is a knight if and only if Liam is a knave,\" Mason mentioned. \"Aria is a knight or Aria is a knave,\" Elizabeth mentioned. Aria expressed that Liam is a knave if and only if Aria is a knight. So who is a knight and who is a knave?", "names": ["Samuel", "Michael", "Daniel", "Liam", "Mason", "Elizabeth", "Aria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false, false, true, true], "solution_text": "Samuel is a knave, Michael is a knight, Daniel is a knave, Liam is a knave, Mason is a knave, Elizabeth is a knight, and Aria is a knight.", "solution_text_format": "(1) Samuel is a knave\n(2) Michael is a knight\n(3) Daniel is a knave\n(4) Liam is a knave\n(5) Mason is a knave\n(6) Elizabeth is a knight\n(7) Aria is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Samuel is a knight. No contradiction is found in their claim that Michael is not a knight.", "Michael cannot be a knight, because this would contradict the claim of Samuel that Michael is not a knight.", "Assume Michael is a knave. No contradiction is found in their false claim that Mason is a knave.", "Assume Mason is a knight. No contradiction is found in their claim that Daniel is a knight if and only if Liam is a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that Aria is a knave.", "Aria cannot be a knight, because this would contradict the claim of Daniel that Aria is a knave.", "Assume Aria is a knave. No contradiction is found in their false claim that Liam is a knave if and only if Aria is a knight.", "Liam cannot be a knight, because this would contradict the claim of Mason that Daniel is a knight if and only if Liam is a knave.", "Liam cannot be a knave, because this would contradict the false claim of their own that Liam is a knight or Samuel is a knight.", "We have exhausted all possibilities for Liam and Aria, so let us go back and reconsider Daniel.", "Assume Daniel is a knave. No contradiction is found in their false claim that Aria is a knave.", "Assume Aria is a knight. No contradiction is found in their claim that Liam is a knave if and only if Aria is a knight.", "Liam cannot be a knight, because this would contradict the claim of Aria that Liam is a knave if and only if Aria is a knight.", "Liam cannot be a knave, because this would contradict the false claim of their own that Liam is a knight or Samuel is a knight.", "We have exhausted all possibilities for Liam, so let us go back and reconsider Aria.", "Aria cannot be a knave, because this would contradict the false claim of Daniel that Aria is a knave.", "We have exhausted all possibilities for Aria and Daniel, so let us go back and reconsider Mason.", "Mason cannot be a knave, because this would contradict the false claim of Michael that Mason is a knave.", "We have exhausted all possibilities for Mason and Michael, so let us go back and reconsider Samuel.", "Assume Samuel is a knave. No contradiction is found in their false claim that Michael is not a knight.", "Assume Michael is a knight. No contradiction is found in their claim that Mason is a knave.", "Mason cannot be a knight, because this would contradict the claim of Michael that Mason is a knave.", "Assume Mason is a knave. No contradiction is found in their false claim that Daniel is a knight if and only if Liam is a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that Aria is a knave.", "Aria cannot be a knight, because this would contradict the claim of Daniel that Aria is a knave.", "Assume Aria is a knave. No contradiction is found in their false claim that Liam is a knave if and only if Aria is a knight.", "Liam cannot be a knight, because this would contradict the false claim of Aria that Liam is a knave if and only if Aria is a knight.", "Liam cannot be a knave, because this would contradict the false claim of Mason that Daniel is a knight if and only if Liam is a knave.", "We have exhausted all possibilities for Liam and Aria, so let us go back and reconsider Daniel.", "Assume Daniel is a knave. No contradiction is found in their false claim that Aria is a knave.", "Assume Aria is a knight. No contradiction is found in their claim that Liam is a knave if and only if Aria is a knight.", "Liam cannot be a knight, because this would contradict the false claim of Mason that Daniel is a knight if and only if Liam is a knave.", "Assume Liam is a knave. No contradiction is found in their false claim that Liam is a knight or Samuel is a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Aria is a knight or Aria is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('lying', 4), ('lying', 6), ('or', ('telling-truth', 3), ('telling-truth', 0)), ('<=>', ('telling-truth', 2), ('lying', 3)), ('or', ('telling-truth', 6), ('lying', 6)), ('<=>', ('lying', 3), ('telling-truth', 6)))", "index": 135}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Liam, Aiden, Abigail, Avery, Sofia, Henry, and Isabella. As Liam put it, \"Sofia is a knight if and only if Abigail is a knave\". As Aiden put it, \"Aiden is a knight and Isabella is a knight\". In Abigail's words: \"Avery is a knave and Liam is a knight\". \"If Abigail is a knave then Aiden is a knight\" - Avery. According to Sofia, \"Avery is a knight or Sofia is a knight\". Henry expressed that Abigail is a knight. Isabella said, \"Avery is a knave and Sofia is a knight.\" So who is a knight and who is a knave?", "names": ["Liam", "Aiden", "Abigail", "Avery", "Sofia", "Henry", "Isabella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, false, false, false, false], "solution_text": "Liam is a knave, Aiden is a knave, Abigail is a knave, Avery is a knave, Sofia is a knave, Henry is a knave, and Isabella is a knave.", "solution_text_format": "(1) Liam is a knave\n(2) Aiden is a knave\n(3) Abigail is a knave\n(4) Avery is a knave\n(5) Sofia is a knave\n(6) Henry is a knave\n(7) Isabella is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Liam is a knight. No contradiction is found in their claim that Sofia is a knight if and only if Abigail is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that Avery is a knight or Sofia is a knight.", "Assume Avery is a knight. No contradiction is found in their claim that If Abigail is a knave then Aiden is a knight.", "Abigail cannot be a knight, because this would contradict the claim of Liam that Sofia is a knight if and only if Abigail is a knave.", "Assume Abigail is a knave. No contradiction is found in their false claim that Avery is a knave and Liam is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that Aiden is a knight and Isabella is a knight.", "Isabella cannot be a knight, because this would contradict the claim of their own that Avery is a knave and Sofia is a knight.", "Isabella cannot be a knave, because this would contradict the claim of Aiden that Aiden is a knight and Isabella is a knight.", "We have exhausted all possibilities for Isabella, so let us go back and reconsider Aiden.", "Aiden cannot be a knave, because this would contradict the claim of Avery that If Abigail is a knave then Aiden is a knight.", "We have exhausted all possibilities for Aiden and Abigail, so let us go back and reconsider Avery.", "Assume Avery is a knave. No contradiction is found in their false claim that If Abigail is a knave then Aiden is a knight.", "Abigail cannot be a knight, because this would contradict the claim of Liam that Sofia is a knight if and only if Abigail is a knave.", "Abigail cannot be a knave, because this would contradict the false claim of their own that Avery is a knave and Liam is a knight.", "We have exhausted all possibilities for Abigail and Avery, so let us go back and reconsider Sofia.", "Assume Sofia is a knave. No contradiction is found in their false claim that Avery is a knight or Sofia is a knight.", "Avery cannot be a knight, because this would contradict the false claim of Sofia that Avery is a knight or Sofia is a knight.", "Assume Avery is a knave. No contradiction is found in their false claim that If Abigail is a knave then Aiden is a knight.", "Abigail cannot be a knight, because this would contradict the false claim of Avery that If Abigail is a knave then Aiden is a knight.", "Abigail cannot be a knave, because this would contradict the claim of Liam that Sofia is a knight if and only if Abigail is a knave.", "We have exhausted all possibilities for Abigail, Avery, and Sofia, so let us go back and reconsider Liam.", "Assume Liam is a knave. No contradiction is found in their false claim that Sofia is a knight if and only if Abigail is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that Avery is a knight or Sofia is a knight.", "Assume Avery is a knight. No contradiction is found in their claim that If Abigail is a knave then Aiden is a knight.", "Abigail cannot be a knight, because this would contradict the claim of their own that Avery is a knave and Liam is a knight.", "Abigail cannot be a knave, because this would contradict the false claim of Liam that Sofia is a knight if and only if Abigail is a knave.", "We have exhausted all possibilities for Abigail, so let us go back and reconsider Avery.", "Assume Avery is a knave. No contradiction is found in their false claim that If Abigail is a knave then Aiden is a knight.", "Abigail cannot be a knight, because this would contradict the claim of their own that Avery is a knave and Liam is a knight.", "Abigail cannot be a knave, because this would contradict the false claim of Liam that Sofia is a knight if and only if Abigail is a knave.", "We have exhausted all possibilities for Abigail and Avery, so let us go back and reconsider Sofia.", "Assume Sofia is a knave. No contradiction is found in their false claim that Avery is a knight or Sofia is a knight.", "Avery cannot be a knight, because this would contradict the false claim of Sofia that Avery is a knight or Sofia is a knight.", "Assume Avery is a knave. No contradiction is found in their false claim that If Abigail is a knave then Aiden is a knight.", "Abigail cannot be a knight, because this would contradict the false claim of Liam that Sofia is a knight if and only if Abigail is a knave.", "Assume Abigail is a knave. No contradiction is found in their false claim that Avery is a knave and Liam is a knight.", "Aiden cannot be a knight, because this would contradict the false claim of Avery that If Abigail is a knave then Aiden is a knight.", "Assume Aiden is a knave. No contradiction is found in their false claim that Aiden is a knight and Isabella is a knight.", "Isabella cannot be a knight, because this would contradict the claim of their own that Avery is a knave and Sofia is a knight.", "Assume Isabella is a knave. No contradiction is found in their false claim that Avery is a knave and Sofia is a knight.", "Henry cannot be a knight, because this would contradict the claim of their own that Abigail is a knight.", "Assume Henry is a knave. No contradiction is found in their false claim that Abigail is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 4), ('lying', 2)), ('and', ('telling-truth', 1), ('telling-truth', 6)), ('and', ('lying', 3), ('telling-truth', 0)), ('->', ('lying', 2), ('telling-truth', 1)), ('or', ('telling-truth', 3), ('telling-truth', 4)), ('telling-truth', 2), ('and', ('lying', 3), ('telling-truth', 4)))", "index": 136}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Olivia, Amelia, Samuel, Ava, Michael, Charlotte, and Alexander. As Olivia put it, \"Alexander is a knight or Alexander is a knave\". In a statement by Amelia: \"Olivia is not a knave\". \"Michael is a knave and Ava is a knave,\" Samuel mentioned. Ava asserted: \"Olivia is a knight or Amelia is a knave\". In Michael's words: \"Alexander is a knave and Olivia is a knave\". Charlotte told you that Samuel is not a knave. \"Samuel is a knave and Olivia is a knave\" - Alexander. So who is a knight and who is a knave?", "names": ["Olivia", "Amelia", "Samuel", "Ava", "Michael", "Charlotte", "Alexander"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true, false, false, false], "solution_text": "Olivia is a knight, Amelia is a knight, Samuel is a knave, Ava is a knight, Michael is a knave, Charlotte is a knave, and Alexander is a knave.", "solution_text_format": "(1) Olivia is a knight\n(2) Amelia is a knight\n(3) Samuel is a knave\n(4) Ava is a knight\n(5) Michael is a knave\n(6) Charlotte is a knave\n(7) Alexander is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Olivia is a knight. No contradiction is found in their claim that Alexander is a knight or Alexander is a knave.", "Alexander cannot be a knight, because this would contradict the claim of their own that Samuel is a knave and Olivia is a knave.", "Assume Alexander is a knave. No contradiction is found in their false claim that Samuel is a knave and Olivia is a knave.", "Assume Samuel is a knight. No contradiction is found in their claim that Michael is a knave and Ava is a knave.", "Michael cannot be a knight, because this would contradict the claim of Samuel that Michael is a knave and Ava is a knave.", "Assume Michael is a knave. No contradiction is found in their false claim that Alexander is a knave and Olivia is a knave.", "Ava cannot be a knight, because this would contradict the claim of Samuel that Michael is a knave and Ava is a knave.", "Ava cannot be a knave, because this would contradict the false claim of their own that Olivia is a knight or Amelia is a knave.", "We have exhausted all possibilities for Ava and Michael, so let us go back and reconsider Samuel.", "Assume Samuel is a knave. No contradiction is found in their false claim that Michael is a knave and Ava is a knave.", "Michael cannot be a knight, because this would contradict the claim of their own that Alexander is a knave and Olivia is a knave.", "Assume Michael is a knave. No contradiction is found in their false claim that Alexander is a knave and Olivia is a knave.", "Assume Ava is a knight. No contradiction is found in their claim that Olivia is a knight or Amelia is a knave.", "Assume Amelia is a knight. No contradiction is found in their claim that Olivia is not a knave.", "Charlotte cannot be a knight, because this would contradict the claim of their own that Samuel is not a knave.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Samuel is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 6), ('lying', 6)), ('not', ('lying', 0)), ('and', ('lying', 4), ('lying', 3)), ('or', ('telling-truth', 0), ('lying', 1)), ('and', ('lying', 6), ('lying', 0)), ('not', ('lying', 2)), ('and', ('lying', 2), ('lying', 0)))", "index": 137}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: William, Amelia, Sophia, Owen, Jack, Joseph, and David. In William's words: \"If William is a knight then David is a knave\". \"Joseph is a knave or William is a knave,\" Amelia mentioned. Sophia commented, \"William is not a knave\". Owen asserted: \"Amelia is a knight if and only if Joseph is a knight\". Jack was heard saying, \"If William is a knave then Amelia is a knight\". Joseph noted, \"Amelia is a knave and Owen is a knight\". \"William is a knight and Joseph is a knight,\" David claimed. So who is a knight and who is a knave?", "names": ["William", "Amelia", "Sophia", "Owen", "Jack", "Joseph", "David"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false, true, false, false], "solution_text": "William is a knight, Amelia is a knight, Sophia is a knight, Owen is a knave, Jack is a knight, Joseph is a knave, and David is a knave.", "solution_text_format": "(1) William is a knight\n(2) Amelia is a knight\n(3) Sophia is a knight\n(4) Owen is a knave\n(5) Jack is a knight\n(6) Joseph is a knave\n(7) David is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume William is a knight. No contradiction is found in their claim that If William is a knight then David is a knave.", "David cannot be a knight, because this would contradict the claim of William that If William is a knight then David is a knave.", "Assume David is a knave. No contradiction is found in their false claim that William is a knight and Joseph is a knight.", "Joseph cannot be a knight, because this would contradict the false claim of David that William is a knight and Joseph is a knight.", "Assume Joseph is a knave. No contradiction is found in their false claim that Amelia is a knave and Owen is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that Joseph is a knave or William is a knave.", "Owen cannot be a knight, because this would contradict the claim of their own that Amelia is a knight if and only if Joseph is a knight.", "Assume Owen is a knave. No contradiction is found in their false claim that Amelia is a knight if and only if Joseph is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that William is not a knave.", "Assume Jack is a knight. No contradiction is found in their claim that If William is a knave then Amelia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 0), ('lying', 6)), ('or', ('lying', 5), ('lying', 0)), ('not', ('lying', 0)), ('<=>', ('telling-truth', 1), ('telling-truth', 5)), ('->', ('lying', 0), ('telling-truth', 1)), ('and', ('lying', 1), ('telling-truth', 3)), ('and', ('telling-truth', 0), ('telling-truth', 5)))", "index": 138}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Henry, Sophia, Mia, Jackson, Oliver, Samuel, and Aurora. \"Oliver is a knight and Sophia is a knave,\" Henry claimed. \"Sophia is a knight\" - Sophia. \"Jackson is a knight if and only if Henry is a knight\" - Mia. Jackson stated, \"Sophia is a knight\". Oliver remarked, \"Jackson is a knight or Mia is a knight\". Samuel told you that Mia is a knight if and only if Jackson is a knave. Aurora said that Samuel is a knave. So who is a knight and who is a knave?", "names": ["Henry", "Sophia", "Mia", "Jackson", "Oliver", "Samuel", "Aurora"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true, true, true, false], "solution_text": "Henry is a knave, Sophia is a knight, Mia is a knave, Jackson is a knight, Oliver is a knight, Samuel is a knight, and Aurora is a knave.", "solution_text_format": "(1) Henry is a knave\n(2) Sophia is a knight\n(3) Mia is a knave\n(4) Jackson is a knight\n(5) Oliver is a knight\n(6) Samuel is a knight\n(7) Aurora is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Henry is a knight. No contradiction is found in their claim that Oliver is a knight and Sophia is a knave.", "Assume Oliver is a knight. No contradiction is found in their claim that Jackson is a knight or Mia is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that Sophia is a knight.", "Sophia cannot be a knight, because this would contradict the claim of Henry that Oliver is a knight and Sophia is a knave.", "Sophia cannot be a knave, because this would contradict the claim of Jackson that Sophia is a knight.", "We have exhausted all possibilities for Sophia, so let us go back and reconsider Jackson.", "Assume Jackson is a knave. No contradiction is found in their false claim that Sophia is a knight.", "Sophia cannot be a knight, because this would contradict the claim of Henry that Oliver is a knight and Sophia is a knave.", "Assume Sophia is a knave. No contradiction is found in their false claim that Sophia is a knight.", "Mia cannot be a knight, because this would contradict the claim of their own that Jackson is a knight if and only if Henry is a knight.", "Mia cannot be a knave, because this would contradict the claim of Oliver that Jackson is a knight or Mia is a knight.", "We have exhausted all possibilities for Mia, Sophia, and Jackson, so let us go back and reconsider Oliver.", "Oliver cannot be a knave, because this would contradict the claim of Henry that Oliver is a knight and Sophia is a knave.", "We have exhausted all possibilities for Oliver, so let us go back and reconsider Henry.", "Assume Henry is a knave. No contradiction is found in their false claim that Oliver is a knight and Sophia is a knave.", "Assume Oliver is a knight. No contradiction is found in their claim that Jackson is a knight or Mia is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that Sophia is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that Sophia is a knight.", "Mia cannot be a knight, because this would contradict the claim of their own that Jackson is a knight if and only if Henry is a knight.", "Assume Mia is a knave. No contradiction is found in their false claim that Jackson is a knight if and only if Henry is a knight.", "Assume Samuel is a knight. No contradiction is found in their claim that Mia is a knight if and only if Jackson is a knave.", "Aurora cannot be a knight, because this would contradict the claim of their own that Samuel is a knave.", "Assume Aurora is a knave. No contradiction is found in their false claim that Samuel is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 4), ('lying', 1)), ('telling-truth', 1), ('<=>', ('telling-truth', 3), ('telling-truth', 0)), ('telling-truth', 1), ('or', ('telling-truth', 3), ('telling-truth', 2)), ('<=>', ('telling-truth', 2), ('lying', 3)), ('lying', 5))", "index": 139}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: William, Aria, Sebastian, Isabella, Evelyn, Penelope, and Grace. \"Isabella is a knave if and only if Grace is a knave,\" William claimed. In a statement by Aria: \"Grace is a knave or Grace is a knight\". Sebastian noted, \"Evelyn is a knave\". \"Isabella is a knight or Grace is a knight\" - Isabella. \"Penelope is a knave and Penelope is a knight,\" Evelyn mentioned. Penelope commented, \"Aria is a knight\". Grace noted, \"If Penelope is a knight then Aria is a knight\". So who is a knight and who is a knave?", "names": ["William", "Aria", "Sebastian", "Isabella", "Evelyn", "Penelope", "Grace"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, false, true, true], "solution_text": "William is a knight, Aria is a knight, Sebastian is a knight, Isabella is a knight, Evelyn is a knave, Penelope is a knight, and Grace is a knight.", "solution_text_format": "(1) William is a knight\n(2) Aria is a knight\n(3) Sebastian is a knight\n(4) Isabella is a knight\n(5) Evelyn is a knave\n(6) Penelope is a knight\n(7) Grace is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume William is a knight. No contradiction is found in their claim that Isabella is a knave if and only if Grace is a knave.", "Assume Isabella is a knight. No contradiction is found in their claim that Isabella is a knight or Grace is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that If Penelope is a knight then Aria is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that Aria is a knight.", "Assume Aria is a knight. No contradiction is found in their claim that Grace is a knave or Grace is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Evelyn is a knave.", "Evelyn cannot be a knight, because this would contradict the claim of Sebastian that Evelyn is a knave.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Penelope is a knave and Penelope is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 3), ('lying', 6)), ('or', ('lying', 6), ('telling-truth', 6)), ('lying', 4), ('or', ('telling-truth', 3), ('telling-truth', 6)), ('and', ('lying', 5), ('telling-truth', 5)), ('telling-truth', 1), ('->', ('telling-truth', 5), ('telling-truth', 1)))", "index": 140}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Lily, Joseph, Daniel, Sophia, Avery, Sofia, and Noah. Lily said that If Sofia is a knave then Avery is a knave. Joseph noted, \"Avery is not a knight\". In Daniel's words: \"Noah is a knave\". As Sophia put it, \"If Avery is a knight then Lily is a knight\". As Avery put it, \"Sophia is a knight\". Sofia told you that Avery is not a knave. \"Joseph is a knave or Avery is a knave,\" Noah mentioned. So who is a knight and who is a knave?", "names": ["Lily", "Joseph", "Daniel", "Sophia", "Avery", "Sofia", "Noah"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, true, true, true], "solution_text": "Lily is a knight, Joseph is a knave, Daniel is a knave, Sophia is a knight, Avery is a knight, Sofia is a knight, and Noah is a knight.", "solution_text_format": "(1) Lily is a knight\n(2) Joseph is a knave\n(3) Daniel is a knave\n(4) Sophia is a knight\n(5) Avery is a knight\n(6) Sofia is a knight\n(7) Noah is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Lily is a knight. No contradiction is found in their claim that If Sofia is a knave then Avery is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that Avery is not a knave.", "Assume Avery is a knight. No contradiction is found in their claim that Sophia is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that If Avery is a knight then Lily is a knight.", "Joseph cannot be a knight, because this would contradict the claim of their own that Avery is not a knight.", "Assume Joseph is a knave. No contradiction is found in their false claim that Avery is not a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that Noah is a knave.", "Noah cannot be a knight, because this would contradict the claim of Daniel that Noah is a knave.", "Noah cannot be a knave, because this would contradict the false claim of their own that Joseph is a knave or Avery is a knave.", "We have exhausted all possibilities for Noah, so let us go back and reconsider Daniel.", "Assume Daniel is a knave. No contradiction is found in their false claim that Noah is a knave.", "Assume Noah is a knight. No contradiction is found in their claim that Joseph is a knave or Avery is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 5), ('lying', 4)), ('not', ('telling-truth', 4)), ('lying', 6), ('->', ('telling-truth', 4), ('telling-truth', 0)), ('telling-truth', 3), ('not', ('lying', 4)), ('or', ('lying', 1), ('lying', 4)))", "index": 141}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Harper, Joseph, Lily, Owen, Chloe, James, and Evelyn. Harper said, \"Evelyn is a knave or Joseph is a knave.\" Joseph stated, \"James is a knave or Evelyn is a knight\". \"Harper is a knave or Joseph is a knight\" - Lily. Owen expressed that If James is a knight then James is a knave. \"James is a knight or Joseph is a knave,\" Chloe claimed. James commented, \"Harper is a knave if and only if Joseph is a knight\". In a statement by Evelyn: \"Owen is a knight\". So who is a knight and who is a knave?", "names": ["Harper", "Joseph", "Lily", "Owen", "Chloe", "James", "Evelyn"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false, true, true, false], "solution_text": "Harper is a knight, Joseph is a knave, Lily is a knave, Owen is a knave, Chloe is a knight, James is a knight, and Evelyn is a knave.", "solution_text_format": "(1) Harper is a knight\n(2) Joseph is a knave\n(3) Lily is a knave\n(4) Owen is a knave\n(5) Chloe is a knight\n(6) James is a knight\n(7) Evelyn is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Harper is a knight. No contradiction is found in their claim that Evelyn is a knave or Joseph is a knave.", "Assume Evelyn is a knight. No contradiction is found in their claim that Owen is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that If James is a knight then James is a knave.", "James cannot be a knight, because this would contradict the claim of Owen that If James is a knight then James is a knave.", "Assume James is a knave. No contradiction is found in their false claim that Harper is a knave if and only if Joseph is a knight.", "Joseph cannot be a knight, because this would contradict the claim of Harper that Evelyn is a knave or Joseph is a knave.", "Joseph cannot be a knave, because this would contradict the false claim of their own that James is a knave or Evelyn is a knight.", "We have exhausted all possibilities for Joseph and James, so let us go back and reconsider Owen.", "Owen cannot be a knave, because this would contradict the claim of Evelyn that Owen is a knight.", "We have exhausted all possibilities for Owen, so let us go back and reconsider Evelyn.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Owen is a knight.", "Owen cannot be a knight, because this would contradict the false claim of Evelyn that Owen is a knight.", "Assume Owen is a knave. No contradiction is found in their false claim that If James is a knight then James is a knave.", "Assume James is a knight. No contradiction is found in their claim that Harper is a knave if and only if Joseph is a knight.", "Joseph cannot be a knight, because this would contradict the claim of their own that James is a knave or Evelyn is a knight.", "Assume Joseph is a knave. No contradiction is found in their false claim that James is a knave or Evelyn is a knight.", "Lily cannot be a knight, because this would contradict the claim of their own that Harper is a knave or Joseph is a knight.", "Assume Lily is a knave. No contradiction is found in their false claim that Harper is a knave or Joseph is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that James is a knight or Joseph is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 6), ('lying', 1)), ('or', ('lying', 5), ('telling-truth', 6)), ('or', ('lying', 0), ('telling-truth', 1)), ('->', ('telling-truth', 5), ('lying', 5)), ('or', ('telling-truth', 5), ('lying', 1)), ('<=>', ('lying', 0), ('telling-truth', 1)), ('telling-truth', 3))", "index": 142}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Henry, Chloe, Jacob, Ella, Liam, Mason, and Michael. According to Henry, \"If Mason is a knave then Jacob is a knave\". Chloe asserted: \"If Michael is a knave then Jacob is a knave\". \"Liam is a knave and Henry is a knight\" - Jacob. Ella said that Chloe is a knave if and only if Mason is a knave. Liam stated, \"Michael is a knave\". Mason asserted: \"Michael is a knight\". Michael told you that Henry is a knight. So who is a knight and who is a knave?", "names": ["Henry", "Chloe", "Jacob", "Ella", "Liam", "Mason", "Michael"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, false, true, true], "solution_text": "Henry is a knight, Chloe is a knight, Jacob is a knight, Ella is a knight, Liam is a knave, Mason is a knight, and Michael is a knight.", "solution_text_format": "(1) Henry is a knight\n(2) Chloe is a knight\n(3) Jacob is a knight\n(4) Ella is a knight\n(5) Liam is a knave\n(6) Mason is a knight\n(7) Michael is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Henry is a knight. No contradiction is found in their claim that If Mason is a knave then Jacob is a knave.", "Assume Mason is a knight. No contradiction is found in their claim that Michael is a knight.", "Assume Michael is a knight. No contradiction is found in their claim that Henry is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that Liam is a knave and Henry is a knight.", "Liam cannot be a knight, because this would contradict the claim of Jacob that Liam is a knave and Henry is a knight.", "Assume Liam is a knave. No contradiction is found in their false claim that Michael is a knave.", "Assume Chloe is a knight. No contradiction is found in their claim that If Michael is a knave then Jacob is a knave.", "Assume Ella is a knight. No contradiction is found in their claim that Chloe is a knave if and only if Mason is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 5), ('lying', 2)), ('->', ('lying', 6), ('lying', 2)), ('and', ('lying', 4), ('telling-truth', 0)), ('<=>', ('lying', 1), ('lying', 5)), ('lying', 6), ('telling-truth', 6), ('telling-truth', 0))", "index": 143}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Harper, Olivia, Penelope, Amelia, Chloe, Benjamin, and Ella. \"If Benjamin is a knave then Benjamin is a knight,\" Harper mentioned. Olivia told you that Harper is a knave or Penelope is a knight. Penelope stated, \"Harper is a knight or Benjamin is a knight\". Amelia asserted: \"Harper is a knave if and only if Olivia is a knave\". In Chloe's words: \"Ella is a knave if and only if Penelope is a knave\". In Benjamin's words: \"Ella is not a knight\". In a statement by Ella: \"Chloe is a knight\". So who is a knight and who is a knave?", "names": ["Harper", "Olivia", "Penelope", "Amelia", "Chloe", "Benjamin", "Ella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, false, true, false], "solution_text": "Harper is a knight, Olivia is a knight, Penelope is a knight, Amelia is a knight, Chloe is a knave, Benjamin is a knight, and Ella is a knave.", "solution_text_format": "(1) Harper is a knight\n(2) Olivia is a knight\n(3) Penelope is a knight\n(4) Amelia is a knight\n(5) Chloe is a knave\n(6) Benjamin is a knight\n(7) Ella is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Harper is a knight. No contradiction is found in their claim that If Benjamin is a knave then Benjamin is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that Ella is not a knight.", "Ella cannot be a knight, because this would contradict the claim of Benjamin that Ella is not a knight.", "Assume Ella is a knave. No contradiction is found in their false claim that Chloe is a knight.", "Chloe cannot be a knight, because this would contradict the false claim of Ella that Chloe is a knight.", "Assume Chloe is a knave. No contradiction is found in their false claim that Ella is a knave if and only if Penelope is a knave.", "Assume Penelope is a knight. No contradiction is found in their claim that Harper is a knight or Benjamin is a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that Harper is a knave or Penelope is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that Harper is a knave if and only if Olivia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 5), ('telling-truth', 5)), ('or', ('lying', 0), ('telling-truth', 2)), ('or', ('telling-truth', 0), ('telling-truth', 5)), ('<=>', ('lying', 0), ('lying', 1)), ('<=>', ('lying', 6), ('lying', 2)), ('not', ('telling-truth', 6)), ('telling-truth', 4))", "index": 144}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Aiden, Alexander, Jacob, Aurora, Michael, Isabella, and Henry. Aiden commented, \"Aiden is a knight and Aurora is a knight\". \"Aiden is a knight if and only if Aurora is a knave,\" Alexander claimed. Jacob said, \"Aiden is a knight.\" In a statement by Aurora: \"Michael is a knight if and only if Jacob is a knave\". Michael asserted: \"Isabella is not a knight\". Isabella commented, \"Aurora is a knight or Alexander is a knight\". Henry told you that If Aurora is a knave then Aiden is a knave. So who is a knight and who is a knave?", "names": ["Aiden", "Alexander", "Jacob", "Aurora", "Michael", "Isabella", "Henry"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, false, true, true], "solution_text": "Aiden is a knight, Alexander is a knave, Jacob is a knight, Aurora is a knight, Michael is a knave, Isabella is a knight, and Henry is a knight.", "solution_text_format": "(1) Aiden is a knight\n(2) Alexander is a knave\n(3) Jacob is a knight\n(4) Aurora is a knight\n(5) Michael is a knave\n(6) Isabella is a knight\n(7) Henry is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aiden is a knight. No contradiction is found in their claim that Aiden is a knight and Aurora is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that Michael is a knight if and only if Jacob is a knave.", "Assume Michael is a knight. No contradiction is found in their claim that Isabella is not a knight.", "Isabella cannot be a knight, because this would contradict the claim of Michael that Isabella is not a knight.", "Isabella cannot be a knave, because this would contradict the false claim of their own that Aurora is a knight or Alexander is a knight.", "We have exhausted all possibilities for Isabella, so let us go back and reconsider Michael.", "Assume Michael is a knave. No contradiction is found in their false claim that Isabella is not a knight.", "Assume Isabella is a knight. No contradiction is found in their claim that Aurora is a knight or Alexander is a knight.", "Alexander cannot be a knight, because this would contradict the claim of their own that Aiden is a knight if and only if Aurora is a knave.", "Assume Alexander is a knave. No contradiction is found in their false claim that Aiden is a knight if and only if Aurora is a knave.", "Assume Jacob is a knight. No contradiction is found in their claim that Aiden is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that If Aurora is a knave then Aiden is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 0), ('telling-truth', 3)), ('<=>', ('telling-truth', 0), ('lying', 3)), ('telling-truth', 0), ('<=>', ('telling-truth', 4), ('lying', 2)), ('not', ('telling-truth', 5)), ('or', ('telling-truth', 3), ('telling-truth', 1)), ('->', ('lying', 3), ('lying', 0)))", "index": 145}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Evelyn, Benjamin, Lily, Emily, Aiden, Alexander, and Matthew. \"Aiden is not a knave\" - Evelyn. According to Benjamin, \"Alexander is a knave\". Lily said that Matthew is a knight and Evelyn is a knight. As Emily put it, \"Lily is a knave and Evelyn is a knave\". Aiden was heard saying, \"Matthew is a knave or Alexander is a knave\". As Alexander put it, \"Aiden is not a knave\". Matthew expressed that Benjamin is a knight or Matthew is a knight. So who is a knight and who is a knave?", "names": ["Evelyn", "Benjamin", "Lily", "Emily", "Aiden", "Alexander", "Matthew"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false, true, true, false], "solution_text": "Evelyn is a knight, Benjamin is a knave, Lily is a knave, Emily is a knave, Aiden is a knight, Alexander is a knight, and Matthew is a knave.", "solution_text_format": "(1) Evelyn is a knight\n(2) Benjamin is a knave\n(3) Lily is a knave\n(4) Emily is a knave\n(5) Aiden is a knight\n(6) Alexander is a knight\n(7) Matthew is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Evelyn is a knight. No contradiction is found in their claim that Aiden is not a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that Matthew is a knave or Alexander is a knave.", "Assume Matthew is a knight. No contradiction is found in their claim that Benjamin is a knight or Matthew is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that Alexander is a knave.", "Alexander cannot be a knight, because this would contradict the claim of Benjamin that Alexander is a knave.", "Alexander cannot be a knave, because this would contradict the false claim of their own that Aiden is not a knave.", "We have exhausted all possibilities for Alexander, so let us go back and reconsider Benjamin.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Alexander is a knave.", "Alexander cannot be a knight, because this would contradict the claim of Aiden that Matthew is a knave or Alexander is a knave.", "Alexander cannot be a knave, because this would contradict the false claim of Benjamin that Alexander is a knave.", "We have exhausted all possibilities for Alexander and Benjamin, so let us go back and reconsider Matthew.", "Assume Matthew is a knave. No contradiction is found in their false claim that Benjamin is a knight or Matthew is a knight.", "Benjamin cannot be a knight, because this would contradict the false claim of Matthew that Benjamin is a knight or Matthew is a knight.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Alexander is a knave.", "Assume Alexander is a knight. No contradiction is found in their claim that Aiden is not a knave.", "Lily cannot be a knight, because this would contradict the claim of their own that Matthew is a knight and Evelyn is a knight.", "Assume Lily is a knave. No contradiction is found in their false claim that Matthew is a knight and Evelyn is a knight.", "Emily cannot be a knight, because this would contradict the claim of their own that Lily is a knave and Evelyn is a knave.", "Assume Emily is a knave. No contradiction is found in their false claim that Lily is a knave and Evelyn is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 4)), ('lying', 5), ('and', ('telling-truth', 6), ('telling-truth', 0)), ('and', ('lying', 2), ('lying', 0)), ('or', ('lying', 6), ('lying', 5)), ('not', ('lying', 4)), ('or', ('telling-truth', 1), ('telling-truth', 6)))", "index": 146}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Isabella, Matthew, Aiden, Chloe, Jackson, Charlotte, and Ethan. Isabella remarked, \"Charlotte is not a knight\". In Matthew's words: \"Aiden is a knave and Chloe is a knight\". In a statement by Aiden: \"If Isabella is a knave then Charlotte is a knight\". As Chloe put it, \"Matthew is a knave and Ethan is a knight\". Jackson told you that Matthew is a knight and Charlotte is a knight. \"Jackson is not a knight,\" Charlotte declared. Ethan asserted: \"Isabella is a knave if and only if Matthew is a knave\". So who is a knight and who is a knave?", "names": ["Isabella", "Matthew", "Aiden", "Chloe", "Jackson", "Charlotte", "Ethan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true, false, true, true], "solution_text": "Isabella is a knave, Matthew is a knave, Aiden is a knight, Chloe is a knight, Jackson is a knave, Charlotte is a knight, and Ethan is a knight.", "solution_text_format": "(1) Isabella is a knave\n(2) Matthew is a knave\n(3) Aiden is a knight\n(4) Chloe is a knight\n(5) Jackson is a knave\n(6) Charlotte is a knight\n(7) Ethan is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Isabella is a knight. No contradiction is found in their claim that Charlotte is not a knight.", "Charlotte cannot be a knight, because this would contradict the claim of Isabella that Charlotte is not a knight.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Jackson is not a knight.", "Jackson cannot be a knight, because this would contradict the claim of their own that Matthew is a knight and Charlotte is a knight.", "Jackson cannot be a knave, because this would contradict the false claim of Charlotte that Jackson is not a knight.", "We have exhausted all possibilities for Jackson and Charlotte, so let us go back and reconsider Isabella.", "Assume Isabella is a knave. No contradiction is found in their false claim that Charlotte is not a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that Jackson is not a knight.", "Jackson cannot be a knight, because this would contradict the claim of Charlotte that Jackson is not a knight.", "Assume Jackson is a knave. No contradiction is found in their false claim that Matthew is a knight and Charlotte is a knight.", "Matthew cannot be a knight, because this would contradict the false claim of Jackson that Matthew is a knight and Charlotte is a knight.", "Assume Matthew is a knave. No contradiction is found in their false claim that Aiden is a knave and Chloe is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that If Isabella is a knave then Charlotte is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that Matthew is a knave and Ethan is a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that Isabella is a knave if and only if Matthew is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 5)), ('and', ('lying', 2), ('telling-truth', 3)), ('->', ('lying', 0), ('telling-truth', 5)), ('and', ('lying', 1), ('telling-truth', 6)), ('and', ('telling-truth', 1), ('telling-truth', 5)), ('not', ('telling-truth', 4)), ('<=>', ('lying', 0), ('lying', 1)))", "index": 147}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Oliver, Liam, William, Sofia, Zoey, Luke, and Lily. Oliver remarked, \"If Luke is a knight then Lily is a knight\". Liam asserted: \"William is a knight and Lily is a knave\". William commented, \"Lily is a knave and Sofia is a knave\". In a statement by Sofia: \"Zoey is a knight if and only if Zoey is a knave\". Zoey said that Lily is a knave or Sofia is a knight. \"William is not a knave,\" Luke claimed. Lily was heard saying, \"Sofia is not a knave\". So who is a knight and who is a knave?", "names": ["Oliver", "Liam", "William", "Sofia", "Zoey", "Luke", "Lily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false, true, true, false], "solution_text": "Oliver is a knave, Liam is a knight, William is a knight, Sofia is a knave, Zoey is a knight, Luke is a knight, and Lily is a knave.", "solution_text_format": "(1) Oliver is a knave\n(2) Liam is a knight\n(3) William is a knight\n(4) Sofia is a knave\n(5) Zoey is a knight\n(6) Luke is a knight\n(7) Lily is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Oliver is a knight. No contradiction is found in their claim that If Luke is a knight then Lily is a knight.", "Assume Luke is a knight. No contradiction is found in their claim that William is not a knave.", "Assume William is a knight. No contradiction is found in their claim that Lily is a knave and Sofia is a knave.", "Lily cannot be a knight, because this would contradict the claim of William that Lily is a knave and Sofia is a knave.", "Lily cannot be a knave, because this would contradict the claim of Oliver that If Luke is a knight then Lily is a knight.", "We have exhausted all possibilities for Lily, so let us go back and reconsider William.", "William cannot be a knave, because this would contradict the claim of Luke that William is not a knave.", "We have exhausted all possibilities for William, so let us go back and reconsider Luke.", "Assume Luke is a knave. No contradiction is found in their false claim that William is not a knave.", "William cannot be a knight, because this would contradict the false claim of Luke that William is not a knave.", "Assume William is a knave. No contradiction is found in their false claim that Lily is a knave and Sofia is a knave.", "Assume Lily is a knight. No contradiction is found in their claim that Sofia is not a knave.", "Sofia cannot be a knight, because this would contradict the claim of their own that Zoey is a knight if and only if Zoey is a knave.", "Sofia cannot be a knave, because this would contradict the claim of Lily that Sofia is not a knave.", "We have exhausted all possibilities for Sofia, so let us go back and reconsider Lily.", "Assume Lily is a knave. No contradiction is found in their false claim that Sofia is not a knave.", "Sofia cannot be a knight, because this would contradict the claim of their own that Zoey is a knight if and only if Zoey is a knave.", "Sofia cannot be a knave, because this would contradict the false claim of William that Lily is a knave and Sofia is a knave.", "We have exhausted all possibilities for Sofia, Lily, William, and Luke, so let us go back and reconsider Oliver.", "Assume Oliver is a knave. No contradiction is found in their false claim that If Luke is a knight then Lily is a knight.", "Assume Luke is a knight. No contradiction is found in their claim that William is not a knave.", "Assume William is a knight. No contradiction is found in their claim that Lily is a knave and Sofia is a knave.", "Lily cannot be a knight, because this would contradict the false claim of Oliver that If Luke is a knight then Lily is a knight.", "Assume Lily is a knave. No contradiction is found in their false claim that Sofia is not a knave.", "Sofia cannot be a knight, because this would contradict the claim of William that Lily is a knave and Sofia is a knave.", "Assume Sofia is a knave. No contradiction is found in their false claim that Zoey is a knight if and only if Zoey is a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that Lily is a knave or Sofia is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that William is a knight and Lily is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 5), ('telling-truth', 6)), ('and', ('telling-truth', 2), ('lying', 6)), ('and', ('lying', 6), ('lying', 3)), ('<=>', ('telling-truth', 4), ('lying', 4)), ('or', ('lying', 6), ('telling-truth', 3)), ('not', ('lying', 2)), ('not', ('lying', 3)))", "index": 148}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Mia, Scarlett, Ella, Grace, Abigail, Noah, and James. Mia noted, \"Abigail is a knave and Noah is a knave\". Scarlett said that Abigail is a knight or Mia is a knave. Ella commented, \"Mia is a knight or James is a knight\". According to Grace, \"Mia is a knave\". Abigail was heard saying, \"Grace is a knight or Abigail is a knight\". In Noah's words: \"Ella is not a knave\". James commented, \"If Scarlett is a knave then Grace is a knave\". So who is a knight and who is a knave?", "names": ["Mia", "Scarlett", "Ella", "Grace", "Abigail", "Noah", "James"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, true, true, true], "solution_text": "Mia is a knave, Scarlett is a knight, Ella is a knight, Grace is a knight, Abigail is a knight, Noah is a knight, and James is a knight.", "solution_text_format": "(1) Mia is a knave\n(2) Scarlett is a knight\n(3) Ella is a knight\n(4) Grace is a knight\n(5) Abigail is a knight\n(6) Noah is a knight\n(7) James is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Mia is a knight. No contradiction is found in their claim that Abigail is a knave and Noah is a knave.", "Abigail cannot be a knight, because this would contradict the claim of Mia that Abigail is a knave and Noah is a knave.", "Assume Abigail is a knave. No contradiction is found in their false claim that Grace is a knight or Abigail is a knight.", "Grace cannot be a knight, because this would contradict the claim of their own that Mia is a knave.", "Assume Grace is a knave. No contradiction is found in their false claim that Mia is a knave.", "Noah cannot be a knight, because this would contradict the claim of Mia that Abigail is a knave and Noah is a knave.", "Assume Noah is a knave. No contradiction is found in their false claim that Ella is not a knave.", "Ella cannot be a knight, because this would contradict the false claim of Noah that Ella is not a knave.", "Ella cannot be a knave, because this would contradict the false claim of their own that Mia is a knight or James is a knight.", "We have exhausted all possibilities for Ella, Noah, Grace, and Abigail, so let us go back and reconsider Mia.", "Assume Mia is a knave. No contradiction is found in their false claim that Abigail is a knave and Noah is a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that Grace is a knight or Abigail is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that Mia is a knave.", "Assume Noah is a knight. No contradiction is found in their claim that Ella is not a knave.", "Assume Ella is a knight. No contradiction is found in their claim that Mia is a knight or James is a knight.", "Assume James is a knight. No contradiction is found in their claim that If Scarlett is a knave then Grace is a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that Abigail is a knight or Mia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 4), ('lying', 5)), ('or', ('telling-truth', 4), ('lying', 0)), ('or', ('telling-truth', 0), ('telling-truth', 6)), ('lying', 0), ('or', ('telling-truth', 3), ('telling-truth', 4)), ('not', ('lying', 2)), ('->', ('lying', 1), ('lying', 3)))", "index": 149}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Matthew, Aurora, Lucas, Grace, Charlotte, Aria, and Mia. Matthew noted, \"Grace is not a knave\". \"Mia is a knave if and only if Charlotte is a knave\" - Aurora. Lucas was heard saying, \"Mia is a knave or Aria is a knight\". Grace stated, \"Lucas is a knave\". Charlotte was heard saying, \"Aria is a knave and Matthew is a knight\". \"Mia is a knave or Grace is a knave,\" Aria declared. \"Matthew is a knight and Aurora is a knave,\" Mia claimed. So who is a knight and who is a knave?", "names": ["Matthew", "Aurora", "Lucas", "Grace", "Charlotte", "Aria", "Mia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false, false, true, false], "solution_text": "Matthew is a knave, Aurora is a knight, Lucas is a knight, Grace is a knave, Charlotte is a knave, Aria is a knight, and Mia is a knave.", "solution_text_format": "(1) Matthew is a knave\n(2) Aurora is a knight\n(3) Lucas is a knight\n(4) Grace is a knave\n(5) Charlotte is a knave\n(6) Aria is a knight\n(7) Mia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Matthew is a knight. No contradiction is found in their claim that Grace is not a knave.", "Assume Grace is a knight. No contradiction is found in their claim that Lucas is a knave.", "Lucas cannot be a knight, because this would contradict the claim of Grace that Lucas is a knave.", "Assume Lucas is a knave. No contradiction is found in their false claim that Mia is a knave or Aria is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that Matthew is a knight and Aurora is a knave.", "Aurora cannot be a knight, because this would contradict the claim of Mia that Matthew is a knight and Aurora is a knave.", "Assume Aurora is a knave. No contradiction is found in their false claim that Mia is a knave if and only if Charlotte is a knave.", "Charlotte cannot be a knight, because this would contradict the false claim of Aurora that Mia is a knave if and only if Charlotte is a knave.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Aria is a knave and Matthew is a knight.", "Aria cannot be a knight, because this would contradict the false claim of Lucas that Mia is a knave or Aria is a knight.", "Aria cannot be a knave, because this would contradict the false claim of Charlotte that Aria is a knave and Matthew is a knight.", "We have exhausted all possibilities for Aria, Charlotte, and Aurora, so let us go back and reconsider Mia.", "Mia cannot be a knave, because this would contradict the false claim of Lucas that Mia is a knave or Aria is a knight.", "We have exhausted all possibilities for Mia and Lucas, so let us go back and reconsider Grace.", "Grace cannot be a knave, because this would contradict the claim of Matthew that Grace is not a knave.", "We have exhausted all possibilities for Grace, so let us go back and reconsider Matthew.", "Assume Matthew is a knave. No contradiction is found in their false claim that Grace is not a knave.", "Grace cannot be a knight, because this would contradict the false claim of Matthew that Grace is not a knave.", "Assume Grace is a knave. No contradiction is found in their false claim that Lucas is a knave.", "Assume Lucas is a knight. No contradiction is found in their claim that Mia is a knave or Aria is a knight.", "Mia cannot be a knight, because this would contradict the claim of their own that Matthew is a knight and Aurora is a knave.", "Assume Mia is a knave. No contradiction is found in their false claim that Matthew is a knight and Aurora is a knave.", "Assume Aurora is a knight. No contradiction is found in their claim that Mia is a knave if and only if Charlotte is a knave.", "Charlotte cannot be a knight, because this would contradict the claim of Aurora that Mia is a knave if and only if Charlotte is a knave.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Aria is a knave and Matthew is a knight.", "Assume Aria is a knight. No contradiction is found in their claim that Mia is a knave or Grace is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 3)), ('<=>', ('lying', 6), ('lying', 4)), ('or', ('lying', 6), ('telling-truth', 5)), ('lying', 2), ('and', ('lying', 5), ('telling-truth', 0)), ('or', ('lying', 6), ('lying', 3)), ('and', ('telling-truth', 0), ('lying', 1)))", "index": 150}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Michael, Lily, Lucas, Jackson, Ava, Matthew, and Harper. Michael asserted: \"Matthew is a knave or Ava is a knight\". \"Lily is a knight or Lucas is a knight,\" Lily claimed. As Lucas put it, \"If Harper is a knave then Harper is a knight\". Jackson was heard saying, \"Michael is a knight if and only if Michael is a knave\". In Ava's words: \"Matthew is a knight if and only if Harper is a knight\". Matthew commented, \"Jackson is a knight\". \"If Lily is a knave then Matthew is a knave\" - Harper. So who is a knight and who is a knave?", "names": ["Michael", "Lily", "Lucas", "Jackson", "Ava", "Matthew", "Harper"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false, false, false, true], "solution_text": "Michael is a knight, Lily is a knight, Lucas is a knight, Jackson is a knave, Ava is a knave, Matthew is a knave, and Harper is a knight.", "solution_text_format": "(1) Michael is a knight\n(2) Lily is a knight\n(3) Lucas is a knight\n(4) Jackson is a knave\n(5) Ava is a knave\n(6) Matthew is a knave\n(7) Harper is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Michael is a knight. No contradiction is found in their claim that Matthew is a knave or Ava is a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that Jackson is a knight.", "Jackson cannot be a knight, because this would contradict the claim of their own that Michael is a knight if and only if Michael is a knave.", "Jackson cannot be a knave, because this would contradict the claim of Matthew that Jackson is a knight.", "We have exhausted all possibilities for Jackson, so let us go back and reconsider Matthew.", "Assume Matthew is a knave. No contradiction is found in their false claim that Jackson is a knight.", "Jackson cannot be a knight, because this would contradict the claim of their own that Michael is a knight if and only if Michael is a knave.", "Assume Jackson is a knave. No contradiction is found in their false claim that Michael is a knight if and only if Michael is a knave.", "Assume Ava is a knight. No contradiction is found in their claim that Matthew is a knight if and only if Harper is a knight.", "Harper cannot be a knight, because this would contradict the claim of Ava that Matthew is a knight if and only if Harper is a knight.", "Harper cannot be a knave, because this would contradict the false claim of their own that If Lily is a knave then Matthew is a knave.", "We have exhausted all possibilities for Harper, so let us go back and reconsider Ava.", "Assume Ava is a knave. No contradiction is found in their false claim that Matthew is a knight if and only if Harper is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that If Lily is a knave then Matthew is a knave.", "Assume Lily is a knight. No contradiction is found in their claim that Lily is a knight or Lucas is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that If Harper is a knave then Harper is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 5), ('telling-truth', 4)), ('or', ('telling-truth', 1), ('telling-truth', 2)), ('->', ('lying', 6), ('telling-truth', 6)), ('<=>', ('telling-truth', 0), ('lying', 0)), ('<=>', ('telling-truth', 5), ('telling-truth', 6)), ('telling-truth', 3), ('->', ('lying', 1), ('lying', 5)))", "index": 151}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Penelope, Abigail, Jackson, Lily, Michael, Aurora, and Sofia. \"Jackson is a knight or Sofia is a knave,\" Penelope claimed. In Abigail's words: \"Jackson is a knight\". As Jackson put it, \"Lily is a knight or Penelope is a knave\". As Lily put it, \"Penelope is a knave and Michael is a knight\". \"If Abigail is a knight then Aurora is a knave,\" Michael declared. Aurora remarked, \"Lily is a knave or Sofia is a knave\". Sofia noted, \"Jackson is a knave if and only if Michael is a knave\". So who is a knight and who is a knave?", "names": ["Penelope", "Abigail", "Jackson", "Lily", "Michael", "Aurora", "Sofia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false, true, true, false], "solution_text": "Penelope is a knight, Abigail is a knave, Jackson is a knave, Lily is a knave, Michael is a knight, Aurora is a knight, and Sofia is a knave.", "solution_text_format": "(1) Penelope is a knight\n(2) Abigail is a knave\n(3) Jackson is a knave\n(4) Lily is a knave\n(5) Michael is a knight\n(6) Aurora is a knight\n(7) Sofia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Penelope is a knight. No contradiction is found in their claim that Jackson is a knight or Sofia is a knave.", "Assume Jackson is a knight. No contradiction is found in their claim that Lily is a knight or Penelope is a knave.", "Lily cannot be a knight, because this would contradict the claim of their own that Penelope is a knave and Michael is a knight.", "Lily cannot be a knave, because this would contradict the claim of Jackson that Lily is a knight or Penelope is a knave.", "We have exhausted all possibilities for Lily, so let us go back and reconsider Jackson.", "Assume Jackson is a knave. No contradiction is found in their false claim that Lily is a knight or Penelope is a knave.", "Lily cannot be a knight, because this would contradict the false claim of Jackson that Lily is a knight or Penelope is a knave.", "Assume Lily is a knave. No contradiction is found in their false claim that Penelope is a knave and Michael is a knight.", "Assume Michael is a knight. No contradiction is found in their claim that If Abigail is a knight then Aurora is a knave.", "Abigail cannot be a knight, because this would contradict the claim of their own that Jackson is a knight.", "Assume Abigail is a knave. No contradiction is found in their false claim that Jackson is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that Lily is a knave or Sofia is a knave.", "Sofia cannot be a knight, because this would contradict the claim of Penelope that Jackson is a knight or Sofia is a knave.", "Assume Sofia is a knave. No contradiction is found in their false claim that Jackson is a knave if and only if Michael is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 2), ('lying', 6)), ('telling-truth', 2), ('or', ('telling-truth', 3), ('lying', 0)), ('and', ('lying', 0), ('telling-truth', 4)), ('->', ('telling-truth', 1), ('lying', 5)), ('or', ('lying', 3), ('lying', 6)), ('<=>', ('lying', 2), ('lying', 4)))", "index": 152}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Scarlett, Avery, Riley, Oliver, Ethan, William, and Emma. Scarlett said, \"Avery is a knight and William is a knight.\" \"Ethan is a knave if and only if Scarlett is a knight,\" Avery claimed. In Riley's words: \"If Emma is a knave then Avery is a knave\". Oliver said, \"Riley is not a knight.\" \"Oliver is a knight,\" Ethan declared. \"Riley is not a knight,\" William declared. Emma was heard saying, \"William is not a knight\". So who is a knight and who is a knave?", "names": ["Scarlett", "Avery", "Riley", "Oliver", "Ethan", "William", "Emma"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false, false, false, true], "solution_text": "Scarlett is a knave, Avery is a knave, Riley is a knight, Oliver is a knave, Ethan is a knave, William is a knave, and Emma is a knight.", "solution_text_format": "(1) Scarlett is a knave\n(2) Avery is a knave\n(3) Riley is a knight\n(4) Oliver is a knave\n(5) Ethan is a knave\n(6) William is a knave\n(7) Emma is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Scarlett is a knight. No contradiction is found in their claim that Avery is a knight and William is a knight.", "Assume Avery is a knight. No contradiction is found in their claim that Ethan is a knave if and only if Scarlett is a knight.", "Ethan cannot be a knight, because this would contradict the claim of Avery that Ethan is a knave if and only if Scarlett is a knight.", "Assume Ethan is a knave. No contradiction is found in their false claim that Oliver is a knight.", "Oliver cannot be a knight, because this would contradict the false claim of Ethan that Oliver is a knight.", "Assume Oliver is a knave. No contradiction is found in their false claim that Riley is not a knight.", "Assume Riley is a knight. No contradiction is found in their claim that If Emma is a knave then Avery is a knave.", "Assume Emma is a knight. No contradiction is found in their claim that William is not a knight.", "William cannot be a knight, because this would contradict the claim of their own that Riley is not a knight.", "William cannot be a knave, because this would contradict the claim of Scarlett that Avery is a knight and William is a knight.", "We have exhausted all possibilities for William, so let us go back and reconsider Emma.", "Emma cannot be a knave, because this would contradict the claim of Riley that If Emma is a knave then Avery is a knave.", "We have exhausted all possibilities for Emma, so let us go back and reconsider Riley.", "Riley cannot be a knave, because this would contradict the false claim of Oliver that Riley is not a knight.", "We have exhausted all possibilities for Riley, Oliver, and Ethan, so let us go back and reconsider Avery.", "Avery cannot be a knave, because this would contradict the claim of Scarlett that Avery is a knight and William is a knight.", "We have exhausted all possibilities for Avery, so let us go back and reconsider Scarlett.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Avery is a knight and William is a knight.", "Assume Avery is a knight. No contradiction is found in their claim that Ethan is a knave if and only if Scarlett is a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that Oliver is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that Riley is not a knight.", "Riley cannot be a knight, because this would contradict the claim of Oliver that Riley is not a knight.", "Assume Riley is a knave. No contradiction is found in their false claim that If Emma is a knave then Avery is a knave.", "Emma cannot be a knight, because this would contradict the false claim of Riley that If Emma is a knave then Avery is a knave.", "Assume Emma is a knave. No contradiction is found in their false claim that William is not a knight.", "William cannot be a knight, because this would contradict the false claim of Scarlett that Avery is a knight and William is a knight.", "William cannot be a knave, because this would contradict the false claim of their own that Riley is not a knight.", "We have exhausted all possibilities for William, Emma, and Riley, so let us go back and reconsider Oliver.", "Oliver cannot be a knave, because this would contradict the claim of Ethan that Oliver is a knight.", "We have exhausted all possibilities for Oliver, so let us go back and reconsider Ethan.", "Ethan cannot be a knave, because this would contradict the claim of Avery that Ethan is a knave if and only if Scarlett is a knight.", "We have exhausted all possibilities for Ethan, so let us go back and reconsider Avery.", "Assume Avery is a knave. No contradiction is found in their false claim that Ethan is a knave if and only if Scarlett is a knight.", "Ethan cannot be a knight, because this would contradict the false claim of Avery that Ethan is a knave if and only if Scarlett is a knight.", "Assume Ethan is a knave. No contradiction is found in their false claim that Oliver is a knight.", "Oliver cannot be a knight, because this would contradict the false claim of Ethan that Oliver is a knight.", "Assume Oliver is a knave. No contradiction is found in their false claim that Riley is not a knight.", "Assume Riley is a knight. No contradiction is found in their claim that If Emma is a knave then Avery is a knave.", "Assume Emma is a knight. No contradiction is found in their claim that William is not a knight.", "William cannot be a knight, because this would contradict the claim of their own that Riley is not a knight.", "Assume William is a knave. No contradiction is found in their false claim that Riley is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('telling-truth', 5)), ('<=>', ('lying', 4), ('telling-truth', 0)), ('->', ('lying', 6), ('lying', 1)), ('not', ('telling-truth', 2)), ('telling-truth', 3), ('not', ('telling-truth', 2)), ('not', ('telling-truth', 5)))", "index": 153}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Riley, Alexander, Noah, Scarlett, Jackson, Aurora, and Avery. \"Avery is not a knight,\" Riley declared. \"Alexander is a knight if and only if Avery is a knight\" - Alexander. Noah remarked, \"Riley is a knave and Alexander is a knave\". \"Avery is a knight,\" Scarlett claimed. \"Riley is a knave or Noah is a knave,\" Jackson mentioned. Aurora said that Riley is a knight and Aurora is a knight. Avery remarked, \"Alexander is a knight\". So who is a knight and who is a knave?", "names": ["Riley", "Alexander", "Noah", "Scarlett", "Jackson", "Aurora", "Avery"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true, true, false, true], "solution_text": "Riley is a knave, Alexander is a knight, Noah is a knave, Scarlett is a knight, Jackson is a knight, Aurora is a knave, and Avery is a knight.", "solution_text_format": "(1) Riley is a knave\n(2) Alexander is a knight\n(3) Noah is a knave\n(4) Scarlett is a knight\n(5) Jackson is a knight\n(6) Aurora is a knave\n(7) Avery is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Riley is a knight. No contradiction is found in their claim that Avery is not a knight.", "Avery cannot be a knight, because this would contradict the claim of Riley that Avery is not a knight.", "Assume Avery is a knave. No contradiction is found in their false claim that Alexander is a knight.", "Alexander cannot be a knight, because this would contradict the claim of their own that Alexander is a knight if and only if Avery is a knight.", "Alexander cannot be a knave, because this would contradict the false claim of their own that Alexander is a knight if and only if Avery is a knight.", "We have exhausted all possibilities for Alexander and Avery, so let us go back and reconsider Riley.", "Assume Riley is a knave. No contradiction is found in their false claim that Avery is not a knight.", "Assume Avery is a knight. No contradiction is found in their claim that Alexander is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that Alexander is a knight if and only if Avery is a knight.", "Noah cannot be a knight, because this would contradict the claim of their own that Riley is a knave and Alexander is a knave.", "Assume Noah is a knave. No contradiction is found in their false claim that Riley is a knave and Alexander is a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that Avery is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that Riley is a knave or Noah is a knave.", "Aurora cannot be a knight, because this would contradict the claim of their own that Riley is a knight and Aurora is a knight.", "Assume Aurora is a knave. No contradiction is found in their false claim that Riley is a knight and Aurora is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 6)), ('<=>', ('telling-truth', 1), ('telling-truth', 6)), ('and', ('lying', 0), ('lying', 1)), ('telling-truth', 6), ('or', ('lying', 0), ('lying', 2)), ('and', ('telling-truth', 0), ('telling-truth', 5)), ('telling-truth', 1))", "index": 154}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Noah, Lily, Oliver, Samuel, Grace, Mia, and Scarlett. In Noah's words: \"Scarlett is not a knight\". Lily stated, \"Noah is a knight or Oliver is a knight\". Oliver noted, \"Mia is a knave or Mia is a knight\". Samuel expressed that Lily is not a knave. Grace was heard saying, \"Lily is a knight or Samuel is a knight\". Mia was heard saying, \"Scarlett is not a knave\". Scarlett asserted: \"If Lily is a knave then Grace is a knight\". So who is a knight and who is a knave?", "names": ["Noah", "Lily", "Oliver", "Samuel", "Grace", "Mia", "Scarlett"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, true, true, true], "solution_text": "Noah is a knave, Lily is a knight, Oliver is a knight, Samuel is a knight, Grace is a knight, Mia is a knight, and Scarlett is a knight.", "solution_text_format": "(1) Noah is a knave\n(2) Lily is a knight\n(3) Oliver is a knight\n(4) Samuel is a knight\n(5) Grace is a knight\n(6) Mia is a knight\n(7) Scarlett is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Noah is a knight. No contradiction is found in their claim that Scarlett is not a knight.", "Scarlett cannot be a knight, because this would contradict the claim of Noah that Scarlett is not a knight.", "Assume Scarlett is a knave. No contradiction is found in their false claim that If Lily is a knave then Grace is a knight.", "Lily cannot be a knight, because this would contradict the false claim of Scarlett that If Lily is a knave then Grace is a knight.", "Lily cannot be a knave, because this would contradict the false claim of their own that Noah is a knight or Oliver is a knight.", "We have exhausted all possibilities for Lily and Scarlett, so let us go back and reconsider Noah.", "Assume Noah is a knave. No contradiction is found in their false claim that Scarlett is not a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that If Lily is a knave then Grace is a knight.", "Assume Lily is a knight. No contradiction is found in their claim that Noah is a knight or Oliver is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that Mia is a knave or Mia is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that Scarlett is not a knave.", "Assume Grace is a knight. No contradiction is found in their claim that Lily is a knight or Samuel is a knight.", "Assume Samuel is a knight. No contradiction is found in their claim that Lily is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 6)), ('or', ('telling-truth', 0), ('telling-truth', 2)), ('or', ('lying', 5), ('telling-truth', 5)), ('not', ('lying', 1)), ('or', ('telling-truth', 1), ('telling-truth', 3)), ('not', ('lying', 6)), ('->', ('lying', 1), ('telling-truth', 4)))", "index": 155}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Owen, Ella, David, Mason, Harper, Aurora, and Chloe. Owen remarked, \"David is a knave or Owen is a knight\". Ella noted, \"Owen is a knave and Chloe is a knave\". As David put it, \"Chloe is not a knight\". Mason was heard saying, \"Aurora is a knight if and only if Ella is a knave\". Harper stated, \"Ella is not a knight\". \"Chloe is a knight,\" Aurora declared. In a statement by Chloe: \"David is a knave if and only if Chloe is a knight\". So who is a knight and who is a knave?", "names": ["Owen", "Ella", "David", "Mason", "Harper", "Aurora", "Chloe"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, true, true, true], "solution_text": "Owen is a knight, Ella is a knave, David is a knave, Mason is a knight, Harper is a knight, Aurora is a knight, and Chloe is a knight.", "solution_text_format": "(1) Owen is a knight\n(2) Ella is a knave\n(3) David is a knave\n(4) Mason is a knight\n(5) Harper is a knight\n(6) Aurora is a knight\n(7) Chloe is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Owen is a knight. No contradiction is found in their claim that David is a knave or Owen is a knight.", "Assume David is a knight. No contradiction is found in their claim that Chloe is not a knight.", "Chloe cannot be a knight, because this would contradict the claim of David that Chloe is not a knight.", "Chloe cannot be a knave, because this would contradict the false claim of their own that David is a knave if and only if Chloe is a knight.", "We have exhausted all possibilities for Chloe, so let us go back and reconsider David.", "Assume David is a knave. No contradiction is found in their false claim that Chloe is not a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that David is a knave if and only if Chloe is a knight.", "Ella cannot be a knight, because this would contradict the claim of their own that Owen is a knave and Chloe is a knave.", "Assume Ella is a knave. No contradiction is found in their false claim that Owen is a knave and Chloe is a knave.", "Assume Mason is a knight. No contradiction is found in their claim that Aurora is a knight if and only if Ella is a knave.", "Assume Aurora is a knight. No contradiction is found in their claim that Chloe is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that Ella is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 2), ('telling-truth', 0)), ('and', ('lying', 0), ('lying', 6)), ('not', ('telling-truth', 6)), ('<=>', ('telling-truth', 5), ('lying', 1)), ('not', ('telling-truth', 1)), ('telling-truth', 6), ('<=>', ('lying', 2), ('telling-truth', 6)))", "index": 156}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Sofia, Alexander, Mason, Chloe, Evelyn, Penelope, and Luke. Sofia told you that Alexander is a knight if and only if Sofia is a knight. \"Sofia is a knight or Chloe is a knave,\" Alexander claimed. \"Chloe is a knave if and only if Chloe is a knight,\" Mason mentioned. Chloe asserted: \"If Chloe is a knight then Mason is a knave\". Evelyn expressed that Mason is a knave or Chloe is a knave. Penelope asserted: \"Sofia is a knave or Alexander is a knave\". Luke commented, \"Evelyn is not a knave\". So who is a knight and who is a knave?", "names": ["Sofia", "Alexander", "Mason", "Chloe", "Evelyn", "Penelope", "Luke"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true, true, false, true], "solution_text": "Sofia is a knight, Alexander is a knight, Mason is a knave, Chloe is a knight, Evelyn is a knight, Penelope is a knave, and Luke is a knight.", "solution_text_format": "(1) Sofia is a knight\n(2) Alexander is a knight\n(3) Mason is a knave\n(4) Chloe is a knight\n(5) Evelyn is a knight\n(6) Penelope is a knave\n(7) Luke is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sofia is a knight. No contradiction is found in their claim that Alexander is a knight if and only if Sofia is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that Sofia is a knight or Chloe is a knave.", "Assume Chloe is a knight. No contradiction is found in their claim that If Chloe is a knight then Mason is a knave.", "Mason cannot be a knight, because this would contradict the claim of their own that Chloe is a knave if and only if Chloe is a knight.", "Assume Mason is a knave. No contradiction is found in their false claim that Chloe is a knave if and only if Chloe is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that Mason is a knave or Chloe is a knave.", "Penelope cannot be a knight, because this would contradict the claim of their own that Sofia is a knave or Alexander is a knave.", "Assume Penelope is a knave. No contradiction is found in their false claim that Sofia is a knave or Alexander is a knave.", "Assume Luke is a knight. No contradiction is found in their claim that Evelyn is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('telling-truth', 0)), ('or', ('telling-truth', 0), ('lying', 3)), ('<=>', ('lying', 3), ('telling-truth', 3)), ('->', ('telling-truth', 3), ('lying', 2)), ('or', ('lying', 2), ('lying', 3)), ('or', ('lying', 0), ('lying', 1)), ('not', ('lying', 4)))", "index": 157}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Matthew, Sophia, Evelyn, Ethan, Henry, James, and Abigail. Matthew was heard saying, \"James is not a knave\". \"If Abigail is a knave then James is a knight\" - Sophia. Evelyn told you that James is a knave if and only if Matthew is a knave. Ethan asserted: \"Evelyn is not a knave\". \"Matthew is a knight if and only if Sophia is a knave,\" Henry claimed. James was heard saying, \"Evelyn is not a knave\". In a statement by Abigail: \"James is not a knight\". So who is a knight and who is a knave?", "names": ["Matthew", "Sophia", "Evelyn", "Ethan", "Henry", "James", "Abigail"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, false, true, false], "solution_text": "Matthew is a knight, Sophia is a knight, Evelyn is a knight, Ethan is a knight, Henry is a knave, James is a knight, and Abigail is a knave.", "solution_text_format": "(1) Matthew is a knight\n(2) Sophia is a knight\n(3) Evelyn is a knight\n(4) Ethan is a knight\n(5) Henry is a knave\n(6) James is a knight\n(7) Abigail is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Matthew is a knight. No contradiction is found in their claim that James is not a knave.", "Assume James is a knight. No contradiction is found in their claim that Evelyn is not a knave.", "Assume Evelyn is a knight. No contradiction is found in their claim that James is a knave if and only if Matthew is a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that If Abigail is a knave then James is a knight.", "Abigail cannot be a knight, because this would contradict the claim of their own that James is not a knight.", "Assume Abigail is a knave. No contradiction is found in their false claim that James is not a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that Evelyn is not a knave.", "Henry cannot be a knight, because this would contradict the claim of their own that Matthew is a knight if and only if Sophia is a knave.", "Assume Henry is a knave. No contradiction is found in their false claim that Matthew is a knight if and only if Sophia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 5)), ('->', ('lying', 6), ('telling-truth', 5)), ('<=>', ('lying', 5), ('lying', 0)), ('not', ('lying', 2)), ('<=>', ('telling-truth', 0), ('lying', 1)), ('not', ('lying', 2)), ('not', ('telling-truth', 5)))", "index": 158}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Samuel, Aiden, Victoria, Alexander, Olivia, James, and Noah. Samuel said, \"Alexander is a knave if and only if Alexander is a knight.\" Aiden remarked, \"Noah is a knight and Olivia is a knave\". Victoria said, \"Noah is a knight and James is a knight.\" \"Victoria is not a knight,\" Alexander declared. Olivia was heard saying, \"James is a knave and Aiden is a knave\". \"Victoria is a knave\" - James. Noah noted, \"Victoria is a knight if and only if Samuel is a knave\". So who is a knight and who is a knave?", "names": ["Samuel", "Aiden", "Victoria", "Alexander", "Olivia", "James", "Noah"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true, false, true, false], "solution_text": "Samuel is a knave, Aiden is a knave, Victoria is a knave, Alexander is a knight, Olivia is a knave, James is a knight, and Noah is a knave.", "solution_text_format": "(1) Samuel is a knave\n(2) Aiden is a knave\n(3) Victoria is a knave\n(4) Alexander is a knight\n(5) Olivia is a knave\n(6) James is a knight\n(7) Noah is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Samuel cannot be a knight, because this would contradict the claim of their own that Alexander is a knave if and only if Alexander is a knight.", "Assume Samuel is a knave. No contradiction is found in their false claim that Alexander is a knave if and only if Alexander is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that Victoria is not a knight.", "Victoria cannot be a knight, because this would contradict the claim of Alexander that Victoria is not a knight.", "Assume Victoria is a knave. No contradiction is found in their false claim that Noah is a knight and James is a knight.", "Noah cannot be a knight, because this would contradict the claim of their own that Victoria is a knight if and only if Samuel is a knave.", "Assume Noah is a knave. No contradiction is found in their false claim that Victoria is a knight if and only if Samuel is a knave.", "Assume James is a knight. No contradiction is found in their claim that Victoria is a knave.", "Aiden cannot be a knight, because this would contradict the claim of their own that Noah is a knight and Olivia is a knave.", "Assume Aiden is a knave. No contradiction is found in their false claim that Noah is a knight and Olivia is a knave.", "Olivia cannot be a knight, because this would contradict the claim of their own that James is a knave and Aiden is a knave.", "Assume Olivia is a knave. No contradiction is found in their false claim that James is a knave and Aiden is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 3), ('telling-truth', 3)), ('and', ('telling-truth', 6), ('lying', 4)), ('and', ('telling-truth', 6), ('telling-truth', 5)), ('not', ('telling-truth', 2)), ('and', ('lying', 5), ('lying', 1)), ('lying', 2), ('<=>', ('telling-truth', 2), ('lying', 0)))", "index": 159}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Sofia, Victoria, Zoey, Ella, Aria, Mia, and Olivia. Sofia expressed that Ella is a knight or Victoria is a knave. \"Aria is a knave,\" Victoria claimed. Zoey told you that Sofia is a knight if and only if Victoria is a knave. In Ella's words: \"Olivia is a knight and Olivia is a knave\". \"Ella is a knave,\" Aria declared. \"Victoria is a knight and Olivia is a knave\" - Mia. \"If Sofia is a knight then Aria is a knight,\" Olivia mentioned. So who is a knight and who is a knave?", "names": ["Sofia", "Victoria", "Zoey", "Ella", "Aria", "Mia", "Olivia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false, true, false, true], "solution_text": "Sofia is a knight, Victoria is a knave, Zoey is a knight, Ella is a knave, Aria is a knight, Mia is a knave, and Olivia is a knight.", "solution_text_format": "(1) Sofia is a knight\n(2) Victoria is a knave\n(3) Zoey is a knight\n(4) Ella is a knave\n(5) Aria is a knight\n(6) Mia is a knave\n(7) Olivia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sofia is a knight. No contradiction is found in their claim that Ella is a knight or Victoria is a knave.", "Ella cannot be a knight, because this would contradict the claim of their own that Olivia is a knight and Olivia is a knave.", "Assume Ella is a knave. No contradiction is found in their false claim that Olivia is a knight and Olivia is a knave.", "Assume Olivia is a knight. No contradiction is found in their claim that If Sofia is a knight then Aria is a knight.", "Assume Aria is a knight. No contradiction is found in their claim that Ella is a knave.", "Victoria cannot be a knight, because this would contradict the claim of Sofia that Ella is a knight or Victoria is a knave.", "Assume Victoria is a knave. No contradiction is found in their false claim that Aria is a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that Sofia is a knight if and only if Victoria is a knave.", "Mia cannot be a knight, because this would contradict the claim of their own that Victoria is a knight and Olivia is a knave.", "Assume Mia is a knave. No contradiction is found in their false claim that Victoria is a knight and Olivia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 3), ('lying', 1)), ('lying', 4), ('<=>', ('telling-truth', 0), ('lying', 1)), ('and', ('telling-truth', 6), ('lying', 6)), ('lying', 3), ('and', ('telling-truth', 1), ('lying', 6)), ('->', ('telling-truth', 0), ('telling-truth', 4)))", "index": 160}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Ava, Luke, Scarlett, Logan, Amelia, Aurora, and Ethan. Ava was heard saying, \"Logan is a knave and Amelia is a knave\". Luke stated, \"Aurora is not a knight\". \"Luke is a knight,\" Scarlett claimed. Logan noted, \"Luke is a knight\". Amelia told you that If Luke is a knight then Logan is a knight. \"Logan is a knave and Amelia is a knave,\" Aurora mentioned. \"Amelia is a knight,\" Ethan declared. So who is a knight and who is a knave?", "names": ["Ava", "Luke", "Scarlett", "Logan", "Amelia", "Aurora", "Ethan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, true, false, true], "solution_text": "Ava is a knave, Luke is a knight, Scarlett is a knight, Logan is a knight, Amelia is a knight, Aurora is a knave, and Ethan is a knight.", "solution_text_format": "(1) Ava is a knave\n(2) Luke is a knight\n(3) Scarlett is a knight\n(4) Logan is a knight\n(5) Amelia is a knight\n(6) Aurora is a knave\n(7) Ethan is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ava is a knight. No contradiction is found in their claim that Logan is a knave and Amelia is a knave.", "Logan cannot be a knight, because this would contradict the claim of Ava that Logan is a knave and Amelia is a knave.", "Assume Logan is a knave. No contradiction is found in their false claim that Luke is a knight.", "Luke cannot be a knight, because this would contradict the false claim of Logan that Luke is a knight.", "Assume Luke is a knave. No contradiction is found in their false claim that Aurora is not a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that Logan is a knave and Amelia is a knave.", "Amelia cannot be a knight, because this would contradict the claim of Ava that Logan is a knave and Amelia is a knave.", "Amelia cannot be a knave, because this would contradict the false claim of their own that If Luke is a knight then Logan is a knight.", "We have exhausted all possibilities for Amelia, so let us go back and reconsider Aurora.", "Aurora cannot be a knave, because this would contradict the false claim of Luke that Aurora is not a knight.", "We have exhausted all possibilities for Aurora, Luke, and Logan, so let us go back and reconsider Ava.", "Assume Ava is a knave. No contradiction is found in their false claim that Logan is a knave and Amelia is a knave.", "Assume Logan is a knight. No contradiction is found in their claim that Luke is a knight.", "Assume Luke is a knight. No contradiction is found in their claim that Aurora is not a knight.", "Aurora cannot be a knight, because this would contradict the claim of Luke that Aurora is not a knight.", "Assume Aurora is a knave. No contradiction is found in their false claim that Logan is a knave and Amelia is a knave.", "Assume Amelia is a knight. No contradiction is found in their claim that If Luke is a knight then Logan is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that Luke is a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that Amelia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 3), ('lying', 4)), ('not', ('telling-truth', 5)), ('telling-truth', 1), ('telling-truth', 1), ('->', ('telling-truth', 1), ('telling-truth', 3)), ('and', ('lying', 3), ('lying', 4)), ('telling-truth', 4))", "index": 161}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Evelyn, Emily, Lily, Joseph, Owen, Emma, and Grace. Evelyn expressed that Joseph is a knave or Lily is a knight. \"Joseph is a knight\" - Emily. \"If Owen is a knight then Joseph is a knave\" - Lily. \"Lily is not a knight,\" Joseph claimed. Owen expressed that Emily is a knave. Emma said that Lily is a knight and Grace is a knave. In a statement by Grace: \"Joseph is a knight and Owen is a knight\". So who is a knight and who is a knave?", "names": ["Evelyn", "Emily", "Lily", "Joseph", "Owen", "Emma", "Grace"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false, true, true, false], "solution_text": "Evelyn is a knight, Emily is a knave, Lily is a knight, Joseph is a knave, Owen is a knight, Emma is a knight, and Grace is a knave.", "solution_text_format": "(1) Evelyn is a knight\n(2) Emily is a knave\n(3) Lily is a knight\n(4) Joseph is a knave\n(5) Owen is a knight\n(6) Emma is a knight\n(7) Grace is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Evelyn is a knight. No contradiction is found in their claim that Joseph is a knave or Lily is a knight.", "Assume Joseph is a knight. No contradiction is found in their claim that Lily is not a knight.", "Lily cannot be a knight, because this would contradict the claim of Joseph that Lily is not a knight.", "Lily cannot be a knave, because this would contradict the claim of Evelyn that Joseph is a knave or Lily is a knight.", "We have exhausted all possibilities for Lily, so let us go back and reconsider Joseph.", "Assume Joseph is a knave. No contradiction is found in their false claim that Lily is not a knight.", "Assume Lily is a knight. No contradiction is found in their claim that If Owen is a knight then Joseph is a knave.", "Assume Owen is a knight. No contradiction is found in their claim that Emily is a knave.", "Emily cannot be a knight, because this would contradict the claim of their own that Joseph is a knight.", "Assume Emily is a knave. No contradiction is found in their false claim that Joseph is a knight.", "Assume Emma is a knight. No contradiction is found in their claim that Lily is a knight and Grace is a knave.", "Grace cannot be a knight, because this would contradict the claim of Emma that Lily is a knight and Grace is a knave.", "Assume Grace is a knave. No contradiction is found in their false claim that Joseph is a knight and Owen is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 3), ('telling-truth', 2)), ('telling-truth', 3), ('->', ('telling-truth', 4), ('lying', 3)), ('not', ('telling-truth', 2)), ('lying', 1), ('and', ('telling-truth', 2), ('lying', 6)), ('and', ('telling-truth', 3), ('telling-truth', 4)))", "index": 162}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Avery, Samuel, Emma, Daniel, Logan, David, and Oliver. Avery said, \"Samuel is a knight and Avery is a knight.\" Samuel said, \"Emma is a knave and Avery is a knight.\" \"David is a knave and Oliver is a knave,\" Emma declared. In a statement by Daniel: \"Daniel is a knight and Avery is a knight\". Logan told you that Avery is not a knave. \"If Oliver is a knave then Emma is a knight\" - David. In a statement by Oliver: \"Logan is a knave if and only if Emma is a knave\". So who is a knight and who is a knave?", "names": ["Avery", "Samuel", "Emma", "Daniel", "Logan", "David", "Oliver"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, false, false, true, true], "solution_text": "Avery is a knave, Samuel is a knave, Emma is a knave, Daniel is a knave, Logan is a knave, David is a knight, and Oliver is a knight.", "solution_text_format": "(1) Avery is a knave\n(2) Samuel is a knave\n(3) Emma is a knave\n(4) Daniel is a knave\n(5) Logan is a knave\n(6) David is a knight\n(7) Oliver is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Avery is a knight. No contradiction is found in their claim that Samuel is a knight and Avery is a knight.", "Assume Samuel is a knight. No contradiction is found in their claim that Emma is a knave and Avery is a knight.", "Emma cannot be a knight, because this would contradict the claim of Samuel that Emma is a knave and Avery is a knight.", "Assume Emma is a knave. No contradiction is found in their false claim that David is a knave and Oliver is a knave.", "Assume David is a knight. No contradiction is found in their claim that If Oliver is a knave then Emma is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that Logan is a knave if and only if Emma is a knave.", "Logan cannot be a knight, because this would contradict the claim of Oliver that Logan is a knave if and only if Emma is a knave.", "Logan cannot be a knave, because this would contradict the false claim of their own that Avery is not a knave.", "We have exhausted all possibilities for Logan, so let us go back and reconsider Oliver.", "Oliver cannot be a knave, because this would contradict the claim of David that If Oliver is a knave then Emma is a knight.", "We have exhausted all possibilities for Oliver, so let us go back and reconsider David.", "Assume David is a knave. No contradiction is found in their false claim that If Oliver is a knave then Emma is a knight.", "Oliver cannot be a knight, because this would contradict the false claim of David that If Oliver is a knave then Emma is a knight.", "Oliver cannot be a knave, because this would contradict the false claim of Emma that David is a knave and Oliver is a knave.", "We have exhausted all possibilities for Oliver, David, and Emma, so let us go back and reconsider Samuel.", "Samuel cannot be a knave, because this would contradict the claim of Avery that Samuel is a knight and Avery is a knight.", "We have exhausted all possibilities for Samuel, so let us go back and reconsider Avery.", "Assume Avery is a knave. No contradiction is found in their false claim that Samuel is a knight and Avery is a knight.", "Samuel cannot be a knight, because this would contradict the claim of their own that Emma is a knave and Avery is a knight.", "Assume Samuel is a knave. No contradiction is found in their false claim that Emma is a knave and Avery is a knight.", "Assume Emma is a knight. No contradiction is found in their claim that David is a knave and Oliver is a knave.", "David cannot be a knight, because this would contradict the claim of Emma that David is a knave and Oliver is a knave.", "David cannot be a knave, because this would contradict the false claim of their own that If Oliver is a knave then Emma is a knight.", "We have exhausted all possibilities for David, so let us go back and reconsider Emma.", "Assume Emma is a knave. No contradiction is found in their false claim that David is a knave and Oliver is a knave.", "Assume David is a knight. No contradiction is found in their claim that If Oliver is a knave then Emma is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that Logan is a knave if and only if Emma is a knave.", "Logan cannot be a knight, because this would contradict the claim of their own that Avery is not a knave.", "Assume Logan is a knave. No contradiction is found in their false claim that Avery is not a knave.", "Daniel cannot be a knight, because this would contradict the claim of their own that Daniel is a knight and Avery is a knight.", "Assume Daniel is a knave. No contradiction is found in their false claim that Daniel is a knight and Avery is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('telling-truth', 0)), ('and', ('lying', 2), ('telling-truth', 0)), ('and', ('lying', 5), ('lying', 6)), ('and', ('telling-truth', 3), ('telling-truth', 0)), ('not', ('lying', 0)), ('->', ('lying', 6), ('telling-truth', 2)), ('<=>', ('lying', 4), ('lying', 2)))", "index": 163}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Noah, Michael, Ava, Harper, James, Owen, and Sophia. According to Noah, \"Sophia is a knight\". According to Michael, \"Harper is a knave if and only if Noah is a knave\". In Ava's words: \"Ava is a knight and James is a knight\". \"Michael is a knight or James is a knight,\" Harper mentioned. As James put it, \"Owen is a knight or Sophia is a knave\". \"Michael is a knave and Sophia is a knight\" - Owen. Sophia was heard saying, \"Harper is not a knave\". So who is a knight and who is a knave?", "names": ["Noah", "Michael", "Ava", "Harper", "James", "Owen", "Sophia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true, false, false, true], "solution_text": "Noah is a knight, Michael is a knight, Ava is a knave, Harper is a knight, James is a knave, Owen is a knave, and Sophia is a knight.", "solution_text_format": "(1) Noah is a knight\n(2) Michael is a knight\n(3) Ava is a knave\n(4) Harper is a knight\n(5) James is a knave\n(6) Owen is a knave\n(7) Sophia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Noah is a knight. No contradiction is found in their claim that Sophia is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that Harper is not a knave.", "Assume Harper is a knight. No contradiction is found in their claim that Michael is a knight or James is a knight.", "Assume Michael is a knight. No contradiction is found in their claim that Harper is a knave if and only if Noah is a knave.", "Assume James is a knight. No contradiction is found in their claim that Owen is a knight or Sophia is a knave.", "Owen cannot be a knight, because this would contradict the claim of their own that Michael is a knave and Sophia is a knight.", "Owen cannot be a knave, because this would contradict the claim of James that Owen is a knight or Sophia is a knave.", "We have exhausted all possibilities for Owen, so let us go back and reconsider James.", "Assume James is a knave. No contradiction is found in their false claim that Owen is a knight or Sophia is a knave.", "Owen cannot be a knight, because this would contradict the false claim of James that Owen is a knight or Sophia is a knave.", "Assume Owen is a knave. No contradiction is found in their false claim that Michael is a knave and Sophia is a knight.", "Ava cannot be a knight, because this would contradict the claim of their own that Ava is a knight and James is a knight.", "Assume Ava is a knave. No contradiction is found in their false claim that Ava is a knight and James is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 6), ('<=>', ('lying', 3), ('lying', 0)), ('and', ('telling-truth', 2), ('telling-truth', 4)), ('or', ('telling-truth', 1), ('telling-truth', 4)), ('or', ('telling-truth', 5), ('lying', 6)), ('and', ('lying', 1), ('telling-truth', 6)), ('not', ('lying', 3)))", "index": 164}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Jacob, James, Olivia, Scarlett, Emma, Charlotte, and Victoria. In a statement by Jacob: \"Scarlett is a knave or Victoria is a knave\". \"Victoria is a knave or Olivia is a knight\" - James. Olivia remarked, \"Jacob is not a knight\". Scarlett expressed that Charlotte is not a knave. Emma commented, \"If Victoria is a knight then Olivia is a knave\". Charlotte commented, \"Emma is a knave\". In Victoria's words: \"James is a knight\". So who is a knight and who is a knave?", "names": ["Jacob", "James", "Olivia", "Scarlett", "Emma", "Charlotte", "Victoria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, false, true, true], "solution_text": "Jacob is a knave, James is a knight, Olivia is a knight, Scarlett is a knight, Emma is a knave, Charlotte is a knight, and Victoria is a knight.", "solution_text_format": "(1) Jacob is a knave\n(2) James is a knight\n(3) Olivia is a knight\n(4) Scarlett is a knight\n(5) Emma is a knave\n(6) Charlotte is a knight\n(7) Victoria is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jacob is a knight. No contradiction is found in their claim that Scarlett is a knave or Victoria is a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that Charlotte is not a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that Emma is a knave.", "Emma cannot be a knight, because this would contradict the claim of Charlotte that Emma is a knave.", "Assume Emma is a knave. No contradiction is found in their false claim that If Victoria is a knight then Olivia is a knave.", "Victoria cannot be a knight, because this would contradict the claim of Jacob that Scarlett is a knave or Victoria is a knave.", "Victoria cannot be a knave, because this would contradict the false claim of Emma that If Victoria is a knight then Olivia is a knave.", "We have exhausted all possibilities for Victoria and Emma, so let us go back and reconsider Charlotte.", "Charlotte cannot be a knave, because this would contradict the claim of Scarlett that Charlotte is not a knave.", "We have exhausted all possibilities for Charlotte, so let us go back and reconsider Scarlett.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Charlotte is not a knave.", "Charlotte cannot be a knight, because this would contradict the false claim of Scarlett that Charlotte is not a knave.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Emma is a knave.", "Assume Emma is a knight. No contradiction is found in their claim that If Victoria is a knight then Olivia is a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that James is a knight.", "Assume James is a knight. No contradiction is found in their claim that Victoria is a knave or Olivia is a knight.", "Olivia cannot be a knight, because this would contradict the claim of their own that Jacob is not a knight.", "Olivia cannot be a knave, because this would contradict the claim of James that Victoria is a knave or Olivia is a knight.", "We have exhausted all possibilities for Olivia, so let us go back and reconsider James.", "James cannot be a knave, because this would contradict the claim of Victoria that James is a knight.", "We have exhausted all possibilities for James, so let us go back and reconsider Victoria.", "Assume Victoria is a knave. No contradiction is found in their false claim that James is a knight.", "James cannot be a knight, because this would contradict the false claim of Victoria that James is a knight.", "James cannot be a knave, because this would contradict the false claim of their own that Victoria is a knave or Olivia is a knight.", "We have exhausted all possibilities for James and Victoria, so let us go back and reconsider Emma.", "Emma cannot be a knave, because this would contradict the false claim of Charlotte that Emma is a knave.", "We have exhausted all possibilities for Emma, Charlotte, and Scarlett, so let us go back and reconsider Jacob.", "Assume Jacob is a knave. No contradiction is found in their false claim that Scarlett is a knave or Victoria is a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that Charlotte is not a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that Emma is a knave.", "Emma cannot be a knight, because this would contradict the claim of Charlotte that Emma is a knave.", "Assume Emma is a knave. No contradiction is found in their false claim that If Victoria is a knight then Olivia is a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that James is a knight.", "Assume James is a knight. No contradiction is found in their claim that Victoria is a knave or Olivia is a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that Jacob is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 3), ('lying', 6)), ('or', ('lying', 6), ('telling-truth', 2)), ('not', ('telling-truth', 0)), ('not', ('lying', 5)), ('->', ('telling-truth', 6), ('lying', 2)), ('lying', 4), ('telling-truth', 1))", "index": 165}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Emma, Harper, Isabella, Ethan, Ava, David, and Samuel. According to Emma, \"Samuel is not a knave\". \"David is a knight,\" Harper declared. Isabella stated, \"Isabella is a knight and Ava is a knight\". Ethan said, \"Samuel is a knight and David is a knave.\" \"Harper is not a knave\" - Ava. David noted, \"Emma is not a knave\". Samuel remarked, \"Ethan is a knight and Emma is a knight\". So who is a knight and who is a knave?", "names": ["Emma", "Harper", "Isabella", "Ethan", "Ava", "David", "Samuel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, false, false, false, false], "solution_text": "Emma is a knave, Harper is a knave, Isabella is a knave, Ethan is a knave, Ava is a knave, David is a knave, and Samuel is a knave.", "solution_text_format": "(1) Emma is a knave\n(2) Harper is a knave\n(3) Isabella is a knave\n(4) Ethan is a knave\n(5) Ava is a knave\n(6) David is a knave\n(7) Samuel is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Emma is a knight. No contradiction is found in their claim that Samuel is not a knave.", "Assume Samuel is a knight. No contradiction is found in their claim that Ethan is a knight and Emma is a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that Samuel is a knight and David is a knave.", "David cannot be a knight, because this would contradict the claim of Ethan that Samuel is a knight and David is a knave.", "David cannot be a knave, because this would contradict the false claim of their own that Emma is not a knave.", "We have exhausted all possibilities for David, so let us go back and reconsider Ethan.", "Ethan cannot be a knave, because this would contradict the claim of Samuel that Ethan is a knight and Emma is a knight.", "We have exhausted all possibilities for Ethan, so let us go back and reconsider Samuel.", "Samuel cannot be a knave, because this would contradict the claim of Emma that Samuel is not a knave.", "We have exhausted all possibilities for Samuel, so let us go back and reconsider Emma.", "Assume Emma is a knave. No contradiction is found in their false claim that Samuel is not a knave.", "Samuel cannot be a knight, because this would contradict the false claim of Emma that Samuel is not a knave.", "Assume Samuel is a knave. No contradiction is found in their false claim that Ethan is a knight and Emma is a knight.", "Ethan cannot be a knight, because this would contradict the claim of their own that Samuel is a knight and David is a knave.", "Assume Ethan is a knave. No contradiction is found in their false claim that Samuel is a knight and David is a knave.", "David cannot be a knight, because this would contradict the claim of their own that Emma is not a knave.", "Assume David is a knave. No contradiction is found in their false claim that Emma is not a knave.", "Harper cannot be a knight, because this would contradict the claim of their own that David is a knight.", "Assume Harper is a knave. No contradiction is found in their false claim that David is a knight.", "Assume Isabella is a knight. No contradiction is found in their claim that Isabella is a knight and Ava is a knight.", "Ava cannot be a knight, because this would contradict the claim of their own that Harper is not a knave.", "Ava cannot be a knave, because this would contradict the claim of Isabella that Isabella is a knight and Ava is a knight.", "We have exhausted all possibilities for Ava, so let us go back and reconsider Isabella.", "Assume Isabella is a knave. No contradiction is found in their false claim that Isabella is a knight and Ava is a knight.", "Ava cannot be a knight, because this would contradict the claim of their own that Harper is not a knave.", "Assume Ava is a knave. No contradiction is found in their false claim that Harper is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 6)), ('telling-truth', 5), ('and', ('telling-truth', 2), ('telling-truth', 4)), ('and', ('telling-truth', 6), ('lying', 5)), ('not', ('lying', 1)), ('not', ('lying', 0)), ('and', ('telling-truth', 3), ('telling-truth', 0)))", "index": 166}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Penelope, Owen, Grace, Amelia, Aiden, Lucas, and Mia. Penelope said, \"If Mia is a knight then Aiden is a knave.\" Owen said that Grace is a knight or Penelope is a knight. In a statement by Grace: \"Penelope is a knight or Amelia is a knave\". Amelia noted, \"Owen is not a knave\". In a statement by Aiden: \"Penelope is a knight if and only if Owen is a knave\". According to Lucas, \"Aiden is a knight if and only if Owen is a knave\". Mia remarked, \"Owen is not a knave\". So who is a knight and who is a knave?", "names": ["Penelope", "Owen", "Grace", "Amelia", "Aiden", "Lucas", "Mia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, false, true, true], "solution_text": "Penelope is a knight, Owen is a knight, Grace is a knight, Amelia is a knight, Aiden is a knave, Lucas is a knight, and Mia is a knight.", "solution_text_format": "(1) Penelope is a knight\n(2) Owen is a knight\n(3) Grace is a knight\n(4) Amelia is a knight\n(5) Aiden is a knave\n(6) Lucas is a knight\n(7) Mia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Penelope is a knight. No contradiction is found in their claim that If Mia is a knight then Aiden is a knave.", "Assume Mia is a knight. No contradiction is found in their claim that Owen is not a knave.", "Assume Owen is a knight. No contradiction is found in their claim that Grace is a knight or Penelope is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that Penelope is a knight or Amelia is a knave.", "Assume Amelia is a knight. No contradiction is found in their claim that Owen is not a knave.", "Aiden cannot be a knight, because this would contradict the claim of Penelope that If Mia is a knight then Aiden is a knave.", "Assume Aiden is a knave. No contradiction is found in their false claim that Penelope is a knight if and only if Owen is a knave.", "Assume Lucas is a knight. No contradiction is found in their claim that Aiden is a knight if and only if Owen is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 6), ('lying', 4)), ('or', ('telling-truth', 2), ('telling-truth', 0)), ('or', ('telling-truth', 0), ('lying', 3)), ('not', ('lying', 1)), ('<=>', ('telling-truth', 0), ('lying', 1)), ('<=>', ('telling-truth', 4), ('lying', 1)), ('not', ('lying', 1)))", "index": 167}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Alexander, Sofia, Samuel, David, Isabella, William, and Abigail. In a statement by Alexander: \"Abigail is a knave\". Sofia said that Isabella is not a knave. According to Samuel, \"William is not a knave\". David commented, \"Isabella is not a knight\". Isabella said that Sofia is a knight or William is a knight. William remarked, \"Alexander is a knight or Abigail is a knave\". Abigail said that William is a knave if and only if Isabella is a knave. So who is a knight and who is a knave?", "names": ["Alexander", "Sofia", "Samuel", "David", "Isabella", "William", "Abigail"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true, false, false, true], "solution_text": "Alexander is a knave, Sofia is a knave, Samuel is a knave, David is a knight, Isabella is a knave, William is a knave, and Abigail is a knight.", "solution_text_format": "(1) Alexander is a knave\n(2) Sofia is a knave\n(3) Samuel is a knave\n(4) David is a knight\n(5) Isabella is a knave\n(6) William is a knave\n(7) Abigail is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Alexander is a knight. No contradiction is found in their claim that Abigail is a knave.", "Abigail cannot be a knight, because this would contradict the claim of Alexander that Abigail is a knave.", "Assume Abigail is a knave. No contradiction is found in their false claim that William is a knave if and only if Isabella is a knave.", "Assume William is a knight. No contradiction is found in their claim that Alexander is a knight or Abigail is a knave.", "Isabella cannot be a knight, because this would contradict the false claim of Abigail that William is a knave if and only if Isabella is a knave.", "Isabella cannot be a knave, because this would contradict the false claim of their own that Sofia is a knight or William is a knight.", "We have exhausted all possibilities for Isabella, so let us go back and reconsider William.", "William cannot be a knave, because this would contradict the false claim of their own that Alexander is a knight or Abigail is a knave.", "We have exhausted all possibilities for William and Abigail, so let us go back and reconsider Alexander.", "Assume Alexander is a knave. No contradiction is found in their false claim that Abigail is a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that William is a knave if and only if Isabella is a knave.", "William cannot be a knight, because this would contradict the claim of their own that Alexander is a knight or Abigail is a knave.", "Assume William is a knave. No contradiction is found in their false claim that Alexander is a knight or Abigail is a knave.", "Isabella cannot be a knight, because this would contradict the claim of Abigail that William is a knave if and only if Isabella is a knave.", "Assume Isabella is a knave. No contradiction is found in their false claim that Sofia is a knight or William is a knight.", "Sofia cannot be a knight, because this would contradict the claim of their own that Isabella is not a knave.", "Assume Sofia is a knave. No contradiction is found in their false claim that Isabella is not a knave.", "Samuel cannot be a knight, because this would contradict the claim of their own that William is not a knave.", "Assume Samuel is a knave. No contradiction is found in their false claim that William is not a knave.", "Assume David is a knight. No contradiction is found in their claim that Isabella is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 6), ('not', ('lying', 4)), ('not', ('lying', 5)), ('not', ('telling-truth', 4)), ('or', ('telling-truth', 1), ('telling-truth', 5)), ('or', ('telling-truth', 0), ('lying', 6)), ('<=>', ('lying', 5), ('lying', 4)))", "index": 168}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Riley, Henry, Elizabeth, Isabella, James, Benjamin, and Sophia. Riley stated, \"Riley is a knight if and only if James is a knave\". \"Henry is a knight if and only if Benjamin is a knave,\" Henry declared. Elizabeth told you that If Benjamin is a knave then Riley is a knave. Isabella said, \"Benjamin is a knave.\" James noted, \"Riley is a knight and Sophia is a knight\". In Benjamin's words: \"Elizabeth is a knight\". In a statement by Sophia: \"Henry is a knave if and only if Elizabeth is a knight\". So who is a knight and who is a knave?", "names": ["Riley", "Henry", "Elizabeth", "Isabella", "James", "Benjamin", "Sophia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, false, false, false], "solution_text": "Riley is a knight, Henry is a knave, Elizabeth is a knave, Isabella is a knight, James is a knave, Benjamin is a knave, and Sophia is a knave.", "solution_text_format": "(1) Riley is a knight\n(2) Henry is a knave\n(3) Elizabeth is a knave\n(4) Isabella is a knight\n(5) James is a knave\n(6) Benjamin is a knave\n(7) Sophia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Riley is a knight. No contradiction is found in their claim that Riley is a knight if and only if James is a knave.", "James cannot be a knight, because this would contradict the claim of Riley that Riley is a knight if and only if James is a knave.", "Assume James is a knave. No contradiction is found in their false claim that Riley is a knight and Sophia is a knight.", "Sophia cannot be a knight, because this would contradict the false claim of James that Riley is a knight and Sophia is a knight.", "Assume Sophia is a knave. No contradiction is found in their false claim that Henry is a knave if and only if Elizabeth is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that Henry is a knight if and only if Benjamin is a knave.", "Benjamin cannot be a knight, because this would contradict the claim of Henry that Henry is a knight if and only if Benjamin is a knave.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Elizabeth is a knight.", "Elizabeth cannot be a knight, because this would contradict the claim of their own that If Benjamin is a knave then Riley is a knave.", "Elizabeth cannot be a knave, because this would contradict the false claim of Sophia that Henry is a knave if and only if Elizabeth is a knight.", "We have exhausted all possibilities for Elizabeth and Benjamin, so let us go back and reconsider Henry.", "Assume Henry is a knave. No contradiction is found in their false claim that Henry is a knight if and only if Benjamin is a knave.", "Benjamin cannot be a knight, because this would contradict the false claim of Henry that Henry is a knight if and only if Benjamin is a knave.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Elizabeth is a knight.", "Elizabeth cannot be a knight, because this would contradict the claim of their own that If Benjamin is a knave then Riley is a knave.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that If Benjamin is a knave then Riley is a knave.", "Assume Isabella is a knight. No contradiction is found in their claim that Benjamin is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 0), ('lying', 4)), ('<=>', ('telling-truth', 1), ('lying', 5)), ('->', ('lying', 5), ('lying', 0)), ('lying', 5), ('and', ('telling-truth', 0), ('telling-truth', 6)), ('telling-truth', 2), ('<=>', ('lying', 1), ('telling-truth', 2)))", "index": 169}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Zoey, Ava, Jacob, William, Henry, Isabella, and Aiden. Zoey remarked, \"Aiden is a knight if and only if Jacob is a knight\". Ava asserted: \"Aiden is a knight or Zoey is a knave\". According to Jacob, \"Ava is a knight if and only if Aiden is a knight\". William told you that William is a knight and Henry is a knight. \"Jacob is a knave or Isabella is a knight,\" Henry claimed. Isabella asserted: \"Ava is a knight if and only if Aiden is a knave\". \"Isabella is a knave or Jacob is a knave,\" Aiden declared. So who is a knight and who is a knave?", "names": ["Zoey", "Ava", "Jacob", "William", "Henry", "Isabella", "Aiden"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false, false, false, true], "solution_text": "Zoey is a knight, Ava is a knight, Jacob is a knight, William is a knave, Henry is a knave, Isabella is a knave, and Aiden is a knight.", "solution_text_format": "(1) Zoey is a knight\n(2) Ava is a knight\n(3) Jacob is a knight\n(4) William is a knave\n(5) Henry is a knave\n(6) Isabella is a knave\n(7) Aiden is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Zoey is a knight. No contradiction is found in their claim that Aiden is a knight if and only if Jacob is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that Isabella is a knave or Jacob is a knave.", "Assume Isabella is a knight. No contradiction is found in their claim that Ava is a knight if and only if Aiden is a knave.", "Ava cannot be a knight, because this would contradict the claim of Isabella that Ava is a knight if and only if Aiden is a knave.", "Ava cannot be a knave, because this would contradict the false claim of their own that Aiden is a knight or Zoey is a knave.", "We have exhausted all possibilities for Ava, so let us go back and reconsider Isabella.", "Assume Isabella is a knave. No contradiction is found in their false claim that Ava is a knight if and only if Aiden is a knave.", "Assume Ava is a knight. No contradiction is found in their claim that Aiden is a knight or Zoey is a knave.", "Assume Jacob is a knight. No contradiction is found in their claim that Ava is a knight if and only if Aiden is a knight.", "Assume William is a knight. No contradiction is found in their claim that William is a knight and Henry is a knight.", "Henry cannot be a knight, because this would contradict the claim of their own that Jacob is a knave or Isabella is a knight.", "Henry cannot be a knave, because this would contradict the claim of William that William is a knight and Henry is a knight.", "We have exhausted all possibilities for Henry, so let us go back and reconsider William.", "Assume William is a knave. No contradiction is found in their false claim that William is a knight and Henry is a knight.", "Henry cannot be a knight, because this would contradict the claim of their own that Jacob is a knave or Isabella is a knight.", "Assume Henry is a knave. No contradiction is found in their false claim that Jacob is a knave or Isabella is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 6), ('telling-truth', 2)), ('or', ('telling-truth', 6), ('lying', 0)), ('<=>', ('telling-truth', 1), ('telling-truth', 6)), ('and', ('telling-truth', 3), ('telling-truth', 4)), ('or', ('lying', 2), ('telling-truth', 5)), ('<=>', ('telling-truth', 1), ('lying', 6)), ('or', ('lying', 5), ('lying', 2)))", "index": 170}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Penelope, Oliver, Jacob, Mason, James, Emma, and Lucas. Penelope told you that Mason is a knave. Oliver was heard saying, \"Lucas is a knave or Oliver is a knight\". According to Jacob, \"If Penelope is a knight then Emma is a knave\". Mason expressed that Oliver is not a knave. \"Mason is a knave if and only if Oliver is a knight,\" James mentioned. In a statement by Emma: \"James is a knight if and only if Mason is a knave\". Lucas asserted: \"Emma is a knight or James is a knight\". So who is a knight and who is a knave?", "names": ["Penelope", "Oliver", "Jacob", "Mason", "James", "Emma", "Lucas"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, false, true, true], "solution_text": "Penelope is a knave, Oliver is a knight, Jacob is a knight, Mason is a knight, James is a knave, Emma is a knight, and Lucas is a knight.", "solution_text_format": "(1) Penelope is a knave\n(2) Oliver is a knight\n(3) Jacob is a knight\n(4) Mason is a knight\n(5) James is a knave\n(6) Emma is a knight\n(7) Lucas is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Penelope is a knight. No contradiction is found in their claim that Mason is a knave.", "Mason cannot be a knight, because this would contradict the claim of Penelope that Mason is a knave.", "Assume Mason is a knave. No contradiction is found in their false claim that Oliver is not a knave.", "Oliver cannot be a knight, because this would contradict the false claim of Mason that Oliver is not a knave.", "Assume Oliver is a knave. No contradiction is found in their false claim that Lucas is a knave or Oliver is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that Emma is a knight or James is a knight.", "Assume Emma is a knight. No contradiction is found in their claim that James is a knight if and only if Mason is a knave.", "James cannot be a knight, because this would contradict the claim of their own that Mason is a knave if and only if Oliver is a knight.", "James cannot be a knave, because this would contradict the claim of Emma that James is a knight if and only if Mason is a knave.", "We have exhausted all possibilities for James, so let us go back and reconsider Emma.", "Assume Emma is a knave. No contradiction is found in their false claim that James is a knight if and only if Mason is a knave.", "James cannot be a knight, because this would contradict the claim of their own that Mason is a knave if and only if Oliver is a knight.", "James cannot be a knave, because this would contradict the claim of Lucas that Emma is a knight or James is a knight.", "We have exhausted all possibilities for James and Emma, so let us go back and reconsider Lucas.", "Lucas cannot be a knave, because this would contradict the false claim of Oliver that Lucas is a knave or Oliver is a knight.", "We have exhausted all possibilities for Lucas, Oliver, and Mason, so let us go back and reconsider Penelope.", "Assume Penelope is a knave. No contradiction is found in their false claim that Mason is a knave.", "Assume Mason is a knight. No contradiction is found in their claim that Oliver is not a knave.", "Assume Oliver is a knight. No contradiction is found in their claim that Lucas is a knave or Oliver is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that Emma is a knight or James is a knight.", "Assume Emma is a knight. No contradiction is found in their claim that James is a knight if and only if Mason is a knave.", "James cannot be a knight, because this would contradict the claim of their own that Mason is a knave if and only if Oliver is a knight.", "Assume James is a knave. No contradiction is found in their false claim that Mason is a knave if and only if Oliver is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that If Penelope is a knight then Emma is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 3), ('or', ('lying', 6), ('telling-truth', 1)), ('->', ('telling-truth', 0), ('lying', 5)), ('not', ('lying', 1)), ('<=>', ('lying', 3), ('telling-truth', 1)), ('<=>', ('telling-truth', 4), ('lying', 3)), ('or', ('telling-truth', 5), ('telling-truth', 4)))", "index": 171}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Avery, Ava, Mia, Penelope, Riley, Samuel, and Olivia. According to Avery, \"Ava is a knight and Penelope is a knight\". Ava said that Mia is a knight and Penelope is a knight. In a statement by Mia: \"Penelope is a knave and Avery is a knight\". Penelope noted, \"Riley is a knight\". \"If Mia is a knave then Avery is a knight,\" Riley mentioned. \"Penelope is a knave or Ava is a knave,\" Samuel claimed. \"Samuel is a knight if and only if Avery is a knight,\" Olivia claimed. So who is a knight and who is a knave?", "names": ["Avery", "Ava", "Mia", "Penelope", "Riley", "Samuel", "Olivia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, false, false, true, false], "solution_text": "Avery is a knave, Ava is a knave, Mia is a knave, Penelope is a knave, Riley is a knave, Samuel is a knight, and Olivia is a knave.", "solution_text_format": "(1) Avery is a knave\n(2) Ava is a knave\n(3) Mia is a knave\n(4) Penelope is a knave\n(5) Riley is a knave\n(6) Samuel is a knight\n(7) Olivia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Avery is a knight. No contradiction is found in their claim that Ava is a knight and Penelope is a knight.", "Assume Ava is a knight. No contradiction is found in their claim that Mia is a knight and Penelope is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that Penelope is a knave and Avery is a knight.", "Penelope cannot be a knight, because this would contradict the claim of Mia that Penelope is a knave and Avery is a knight.", "Penelope cannot be a knave, because this would contradict the claim of Avery that Ava is a knight and Penelope is a knight.", "We have exhausted all possibilities for Penelope, so let us go back and reconsider Mia.", "Mia cannot be a knave, because this would contradict the claim of Ava that Mia is a knight and Penelope is a knight.", "We have exhausted all possibilities for Mia, so let us go back and reconsider Ava.", "Ava cannot be a knave, because this would contradict the claim of Avery that Ava is a knight and Penelope is a knight.", "We have exhausted all possibilities for Ava, so let us go back and reconsider Avery.", "Assume Avery is a knave. No contradiction is found in their false claim that Ava is a knight and Penelope is a knight.", "Assume Ava is a knight. No contradiction is found in their claim that Mia is a knight and Penelope is a knight.", "Mia cannot be a knight, because this would contradict the claim of their own that Penelope is a knave and Avery is a knight.", "Mia cannot be a knave, because this would contradict the claim of Ava that Mia is a knight and Penelope is a knight.", "We have exhausted all possibilities for Mia, so let us go back and reconsider Ava.", "Assume Ava is a knave. No contradiction is found in their false claim that Mia is a knight and Penelope is a knight.", "Mia cannot be a knight, because this would contradict the claim of their own that Penelope is a knave and Avery is a knight.", "Assume Mia is a knave. No contradiction is found in their false claim that Penelope is a knave and Avery is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that Riley is a knight.", "Riley cannot be a knight, because this would contradict the claim of their own that If Mia is a knave then Avery is a knight.", "Riley cannot be a knave, because this would contradict the claim of Penelope that Riley is a knight.", "We have exhausted all possibilities for Riley, so let us go back and reconsider Penelope.", "Assume Penelope is a knave. No contradiction is found in their false claim that Riley is a knight.", "Riley cannot be a knight, because this would contradict the false claim of Penelope that Riley is a knight.", "Assume Riley is a knave. No contradiction is found in their false claim that If Mia is a knave then Avery is a knight.", "Assume Samuel is a knight. No contradiction is found in their claim that Penelope is a knave or Ava is a knave.", "Olivia cannot be a knight, because this would contradict the claim of their own that Samuel is a knight if and only if Avery is a knight.", "Assume Olivia is a knave. No contradiction is found in their false claim that Samuel is a knight if and only if Avery is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('telling-truth', 3)), ('and', ('telling-truth', 2), ('telling-truth', 3)), ('and', ('lying', 3), ('telling-truth', 0)), ('telling-truth', 4), ('->', ('lying', 2), ('telling-truth', 0)), ('or', ('lying', 3), ('lying', 1)), ('<=>', ('telling-truth', 5), ('telling-truth', 0)))", "index": 172}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Penelope, Sofia, Lily, Aurora, Noah, Jackson, and Luke. Penelope expressed that Sofia is a knave. Sofia expressed that Luke is a knave. \"Jackson is a knave and Aurora is a knight,\" Lily claimed. Aurora asserted: \"Lily is not a knave\". Noah was heard saying, \"Jackson is not a knave\". In Jackson's words: \"Luke is not a knave\". Luke commented, \"Aurora is a knave if and only if Noah is a knave\". So who is a knight and who is a knave?", "names": ["Penelope", "Sofia", "Lily", "Aurora", "Noah", "Jackson", "Luke"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, false, false, false], "solution_text": "Penelope is a knave, Sofia is a knight, Lily is a knight, Aurora is a knight, Noah is a knave, Jackson is a knave, and Luke is a knave.", "solution_text_format": "(1) Penelope is a knave\n(2) Sofia is a knight\n(3) Lily is a knight\n(4) Aurora is a knight\n(5) Noah is a knave\n(6) Jackson is a knave\n(7) Luke is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Penelope is a knight. No contradiction is found in their claim that Sofia is a knave.", "Sofia cannot be a knight, because this would contradict the claim of Penelope that Sofia is a knave.", "Assume Sofia is a knave. No contradiction is found in their false claim that Luke is a knave.", "Assume Luke is a knight. No contradiction is found in their claim that Aurora is a knave if and only if Noah is a knave.", "Assume Aurora is a knight. No contradiction is found in their claim that Lily is not a knave.", "Assume Lily is a knight. No contradiction is found in their claim that Jackson is a knave and Aurora is a knight.", "Jackson cannot be a knight, because this would contradict the claim of Lily that Jackson is a knave and Aurora is a knight.", "Jackson cannot be a knave, because this would contradict the false claim of their own that Luke is not a knave.", "We have exhausted all possibilities for Jackson, so let us go back and reconsider Lily.", "Lily cannot be a knave, because this would contradict the claim of Aurora that Lily is not a knave.", "We have exhausted all possibilities for Lily, so let us go back and reconsider Aurora.", "Assume Aurora is a knave. No contradiction is found in their false claim that Lily is not a knave.", "Lily cannot be a knight, because this would contradict the claim of their own that Jackson is a knave and Aurora is a knight.", "Assume Lily is a knave. No contradiction is found in their false claim that Jackson is a knave and Aurora is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that Luke is not a knave.", "Noah cannot be a knight, because this would contradict the claim of Luke that Aurora is a knave if and only if Noah is a knave.", "Noah cannot be a knave, because this would contradict the false claim of their own that Jackson is not a knave.", "We have exhausted all possibilities for Noah, so let us go back and reconsider Jackson.", "Jackson cannot be a knave, because this would contradict the false claim of their own that Luke is not a knave.", "We have exhausted all possibilities for Jackson, Lily, and Aurora, so let us go back and reconsider Luke.", "Luke cannot be a knave, because this would contradict the false claim of Sofia that Luke is a knave.", "We have exhausted all possibilities for Luke and Sofia, so let us go back and reconsider Penelope.", "Assume Penelope is a knave. No contradiction is found in their false claim that Sofia is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that Luke is a knave.", "Luke cannot be a knight, because this would contradict the claim of Sofia that Luke is a knave.", "Assume Luke is a knave. No contradiction is found in their false claim that Aurora is a knave if and only if Noah is a knave.", "Assume Aurora is a knight. No contradiction is found in their claim that Lily is not a knave.", "Assume Lily is a knight. No contradiction is found in their claim that Jackson is a knave and Aurora is a knight.", "Jackson cannot be a knight, because this would contradict the claim of Lily that Jackson is a knave and Aurora is a knight.", "Assume Jackson is a knave. No contradiction is found in their false claim that Luke is not a knave.", "Noah cannot be a knight, because this would contradict the claim of their own that Jackson is not a knave.", "Assume Noah is a knave. No contradiction is found in their false claim that Jackson is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('lying', 6), ('and', ('lying', 5), ('telling-truth', 3)), ('not', ('lying', 2)), ('not', ('lying', 5)), ('not', ('lying', 6)), ('<=>', ('lying', 3), ('lying', 4)))", "index": 173}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Matthew, Ella, Harper, Alexander, Penelope, Benjamin, and Ava. \"Harper is a knight,\" Matthew declared. Ella was heard saying, \"Ava is a knave or Matthew is a knave\". Harper said, \"Ava is not a knight.\" Alexander said, \"Ella is a knight if and only if Ava is a knave.\" According to Penelope, \"If Ava is a knight then Alexander is a knave\". \"Ava is a knight if and only if Harper is a knight,\" Benjamin declared. Ava stated, \"If Matthew is a knave then Harper is a knave\". So who is a knight and who is a knave?", "names": ["Matthew", "Ella", "Harper", "Alexander", "Penelope", "Benjamin", "Ava"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false, true, false, true], "solution_text": "Matthew is a knave, Ella is a knight, Harper is a knave, Alexander is a knave, Penelope is a knight, Benjamin is a knave, and Ava is a knight.", "solution_text_format": "(1) Matthew is a knave\n(2) Ella is a knight\n(3) Harper is a knave\n(4) Alexander is a knave\n(5) Penelope is a knight\n(6) Benjamin is a knave\n(7) Ava is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Matthew is a knight. No contradiction is found in their claim that Harper is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that Ava is not a knight.", "Ava cannot be a knight, because this would contradict the claim of Harper that Ava is not a knight.", "Ava cannot be a knave, because this would contradict the false claim of their own that If Matthew is a knave then Harper is a knave.", "We have exhausted all possibilities for Ava, so let us go back and reconsider Harper.", "Harper cannot be a knave, because this would contradict the claim of Matthew that Harper is a knight.", "We have exhausted all possibilities for Harper, so let us go back and reconsider Matthew.", "Assume Matthew is a knave. No contradiction is found in their false claim that Harper is a knight.", "Harper cannot be a knight, because this would contradict the false claim of Matthew that Harper is a knight.", "Assume Harper is a knave. No contradiction is found in their false claim that Ava is not a knight.", "Assume Ava is a knight. No contradiction is found in their claim that If Matthew is a knave then Harper is a knave.", "Assume Ella is a knight. No contradiction is found in their claim that Ava is a knave or Matthew is a knave.", "Alexander cannot be a knight, because this would contradict the claim of their own that Ella is a knight if and only if Ava is a knave.", "Assume Alexander is a knave. No contradiction is found in their false claim that Ella is a knight if and only if Ava is a knave.", "Assume Penelope is a knight. No contradiction is found in their claim that If Ava is a knight then Alexander is a knave.", "Benjamin cannot be a knight, because this would contradict the claim of their own that Ava is a knight if and only if Harper is a knight.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Ava is a knight if and only if Harper is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 2), ('or', ('lying', 6), ('lying', 0)), ('not', ('telling-truth', 6)), ('<=>', ('telling-truth', 1), ('lying', 6)), ('->', ('telling-truth', 6), ('lying', 3)), ('<=>', ('telling-truth', 6), ('telling-truth', 2)), ('->', ('lying', 0), ('lying', 2)))", "index": 174}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Matthew, Benjamin, Ethan, Mason, Victoria, Jacob, and Lucas. According to Matthew, \"Victoria is not a knave\". Benjamin commented, \"If Mason is a knight then Matthew is a knave\". Ethan was heard saying, \"Matthew is a knight if and only if Lucas is a knight\". Mason was heard saying, \"Mason is a knight if and only if Victoria is a knight\". Victoria was heard saying, \"If Jacob is a knave then Benjamin is a knave\". \"Matthew is a knave\" - Jacob. Lucas noted, \"Benjamin is a knave if and only if Jacob is a knave\". So who is a knight and who is a knave?", "names": ["Matthew", "Benjamin", "Ethan", "Mason", "Victoria", "Jacob", "Lucas"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, true, false, true], "solution_text": "Matthew is a knight, Benjamin is a knave, Ethan is a knight, Mason is a knight, Victoria is a knight, Jacob is a knave, and Lucas is a knight.", "solution_text_format": "(1) Matthew is a knight\n(2) Benjamin is a knave\n(3) Ethan is a knight\n(4) Mason is a knight\n(5) Victoria is a knight\n(6) Jacob is a knave\n(7) Lucas is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Matthew is a knight. No contradiction is found in their claim that Victoria is not a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that If Jacob is a knave then Benjamin is a knave.", "Jacob cannot be a knight, because this would contradict the claim of their own that Matthew is a knave.", "Assume Jacob is a knave. No contradiction is found in their false claim that Matthew is a knave.", "Benjamin cannot be a knight, because this would contradict the claim of Victoria that If Jacob is a knave then Benjamin is a knave.", "Assume Benjamin is a knave. No contradiction is found in their false claim that If Mason is a knight then Matthew is a knave.", "Assume Mason is a knight. No contradiction is found in their claim that Mason is a knight if and only if Victoria is a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that Matthew is a knight if and only if Lucas is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that Benjamin is a knave if and only if Jacob is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 4)), ('->', ('telling-truth', 3), ('lying', 0)), ('<=>', ('telling-truth', 0), ('telling-truth', 6)), ('<=>', ('telling-truth', 3), ('telling-truth', 4)), ('->', ('lying', 5), ('lying', 1)), ('lying', 0), ('<=>', ('lying', 1), ('lying', 5)))", "index": 175}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: William, Harper, Mason, James, Samuel, Amelia, and Matthew. William expressed that If Mason is a knight then Samuel is a knave. Harper stated, \"Mason is a knight or James is a knight\". Mason expressed that Samuel is a knave and Samuel is a knight. James told you that Amelia is not a knave. Samuel was heard saying, \"William is not a knave\". In a statement by Amelia: \"Matthew is a knave if and only if James is a knave\". According to Matthew, \"If Harper is a knight then Amelia is a knave\". So who is a knight and who is a knave?", "names": ["William", "Harper", "Mason", "James", "Samuel", "Amelia", "Matthew"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false, true, false, true], "solution_text": "William is a knight, Harper is a knave, Mason is a knave, James is a knave, Samuel is a knight, Amelia is a knave, and Matthew is a knight.", "solution_text_format": "(1) William is a knight\n(2) Harper is a knave\n(3) Mason is a knave\n(4) James is a knave\n(5) Samuel is a knight\n(6) Amelia is a knave\n(7) Matthew is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume William is a knight. No contradiction is found in their claim that If Mason is a knight then Samuel is a knave.", "Mason cannot be a knight, because this would contradict the claim of their own that Samuel is a knave and Samuel is a knight.", "Assume Mason is a knave. No contradiction is found in their false claim that Samuel is a knave and Samuel is a knight.", "Assume Samuel is a knight. No contradiction is found in their claim that William is not a knave.", "Assume Harper is a knight. No contradiction is found in their claim that Mason is a knight or James is a knight.", "Assume James is a knight. No contradiction is found in their claim that Amelia is not a knave.", "Assume Amelia is a knight. No contradiction is found in their claim that Matthew is a knave if and only if James is a knave.", "Matthew cannot be a knight, because this would contradict the claim of their own that If Harper is a knight then Amelia is a knave.", "Matthew cannot be a knave, because this would contradict the claim of Amelia that Matthew is a knave if and only if James is a knave.", "We have exhausted all possibilities for Matthew, so let us go back and reconsider Amelia.", "Amelia cannot be a knave, because this would contradict the claim of James that Amelia is not a knave.", "We have exhausted all possibilities for Amelia, so let us go back and reconsider James.", "James cannot be a knave, because this would contradict the claim of Harper that Mason is a knight or James is a knight.", "We have exhausted all possibilities for James, so let us go back and reconsider Harper.", "Assume Harper is a knave. No contradiction is found in their false claim that Mason is a knight or James is a knight.", "James cannot be a knight, because this would contradict the false claim of Harper that Mason is a knight or James is a knight.", "Assume James is a knave. No contradiction is found in their false claim that Amelia is not a knave.", "Amelia cannot be a knight, because this would contradict the false claim of James that Amelia is not a knave.", "Assume Amelia is a knave. No contradiction is found in their false claim that Matthew is a knave if and only if James is a knave.", "Assume Matthew is a knight. No contradiction is found in their claim that If Harper is a knight then Amelia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 2), ('lying', 4)), ('or', ('telling-truth', 2), ('telling-truth', 3)), ('and', ('lying', 4), ('telling-truth', 4)), ('not', ('lying', 5)), ('not', ('lying', 0)), ('<=>', ('lying', 6), ('lying', 3)), ('->', ('telling-truth', 1), ('lying', 5)))", "index": 176}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: David, Aiden, Abigail, Alexander, Emma, Jackson, and Ava. David told you that Aiden is a knight if and only if Jackson is a knave. As Aiden put it, \"Ava is a knave or Alexander is a knight\". Abigail stated, \"Alexander is a knave or Ava is a knight\". According to Alexander, \"Jackson is not a knight\". Emma told you that If David is a knight then Abigail is a knight. Jackson said that David is a knight and Emma is a knave. Ava said, \"If Emma is a knight then Alexander is a knight.\" So who is a knight and who is a knave?", "names": ["David", "Aiden", "Abigail", "Alexander", "Emma", "Jackson", "Ava"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, true, false, true], "solution_text": "David is a knight, Aiden is a knight, Abigail is a knight, Alexander is a knight, Emma is a knight, Jackson is a knave, and Ava is a knight.", "solution_text_format": "(1) David is a knight\n(2) Aiden is a knight\n(3) Abigail is a knight\n(4) Alexander is a knight\n(5) Emma is a knight\n(6) Jackson is a knave\n(7) Ava is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume David is a knight. No contradiction is found in their claim that Aiden is a knight if and only if Jackson is a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that Ava is a knave or Alexander is a knight.", "Assume Ava is a knight. No contradiction is found in their claim that If Emma is a knight then Alexander is a knight.", "Assume Emma is a knight. No contradiction is found in their claim that If David is a knight then Abigail is a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that Alexander is a knave or Ava is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that Jackson is not a knight.", "Jackson cannot be a knight, because this would contradict the claim of David that Aiden is a knight if and only if Jackson is a knave.", "Assume Jackson is a knave. No contradiction is found in their false claim that David is a knight and Emma is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('lying', 5)), ('or', ('lying', 6), ('telling-truth', 3)), ('or', ('lying', 3), ('telling-truth', 6)), ('not', ('telling-truth', 5)), ('->', ('telling-truth', 0), ('telling-truth', 2)), ('and', ('telling-truth', 0), ('lying', 4)), ('->', ('telling-truth', 4), ('telling-truth', 3)))", "index": 177}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Elizabeth, James, Aiden, Mia, Olivia, Zoey, and Aurora. Elizabeth stated, \"If Mia is a knave then Zoey is a knave\". James said, \"Aiden is a knight.\" \"Zoey is a knave or Elizabeth is a knave,\" Aiden declared. Mia was heard saying, \"If James is a knave then Mia is a knight\". Olivia commented, \"If James is a knave then Aurora is a knave\". \"Mia is a knight or Aurora is a knight,\" Zoey declared. Aurora said, \"Mia is not a knight.\" So who is a knight and who is a knave?", "names": ["Elizabeth", "James", "Aiden", "Mia", "Olivia", "Zoey", "Aurora"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, true, true, false], "solution_text": "Elizabeth is a knight, James is a knave, Aiden is a knave, Mia is a knight, Olivia is a knight, Zoey is a knight, and Aurora is a knave.", "solution_text_format": "(1) Elizabeth is a knight\n(2) James is a knave\n(3) Aiden is a knave\n(4) Mia is a knight\n(5) Olivia is a knight\n(6) Zoey is a knight\n(7) Aurora is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Elizabeth is a knight. No contradiction is found in their claim that If Mia is a knave then Zoey is a knave.", "Assume Mia is a knight. No contradiction is found in their claim that If James is a knave then Mia is a knight.", "Assume James is a knight. No contradiction is found in their claim that Aiden is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that Zoey is a knave or Elizabeth is a knave.", "Zoey cannot be a knight, because this would contradict the claim of Aiden that Zoey is a knave or Elizabeth is a knave.", "Zoey cannot be a knave, because this would contradict the false claim of their own that Mia is a knight or Aurora is a knight.", "We have exhausted all possibilities for Zoey, so let us go back and reconsider Aiden.", "Aiden cannot be a knave, because this would contradict the claim of James that Aiden is a knight.", "We have exhausted all possibilities for Aiden, so let us go back and reconsider James.", "Assume James is a knave. No contradiction is found in their false claim that Aiden is a knight.", "Aiden cannot be a knight, because this would contradict the false claim of James that Aiden is a knight.", "Assume Aiden is a knave. No contradiction is found in their false claim that Zoey is a knave or Elizabeth is a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that Mia is a knight or Aurora is a knight.", "Aurora cannot be a knight, because this would contradict the claim of their own that Mia is not a knight.", "Assume Aurora is a knave. No contradiction is found in their false claim that Mia is not a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that If James is a knave then Aurora is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 3), ('lying', 5)), ('telling-truth', 2), ('or', ('lying', 5), ('lying', 0)), ('->', ('lying', 1), ('telling-truth', 3)), ('->', ('lying', 1), ('lying', 6)), ('or', ('telling-truth', 3), ('telling-truth', 6)), ('not', ('telling-truth', 3)))", "index": 178}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Grace, Scarlett, Amelia, Lily, Sebastian, Daniel, and Victoria. Grace was heard saying, \"Daniel is a knight if and only if Daniel is a knave\". Scarlett remarked, \"Sebastian is a knave and Victoria is a knave\". In a statement by Amelia: \"Scarlett is a knave if and only if Victoria is a knight\". \"Daniel is not a knight,\" Lily mentioned. \"If Amelia is a knave then Amelia is a knight,\" Sebastian mentioned. According to Daniel, \"If Sebastian is a knight then Lily is a knave\". Victoria expressed that Daniel is a knave if and only if Grace is a knave. So who is a knight and who is a knave?", "names": ["Grace", "Scarlett", "Amelia", "Lily", "Sebastian", "Daniel", "Victoria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true, true, false, true], "solution_text": "Grace is a knave, Scarlett is a knave, Amelia is a knight, Lily is a knight, Sebastian is a knight, Daniel is a knave, and Victoria is a knight.", "solution_text_format": "(1) Grace is a knave\n(2) Scarlett is a knave\n(3) Amelia is a knight\n(4) Lily is a knight\n(5) Sebastian is a knight\n(6) Daniel is a knave\n(7) Victoria is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Grace cannot be a knight, because this would contradict the claim of their own that Daniel is a knight if and only if Daniel is a knave.", "Assume Grace is a knave. No contradiction is found in their false claim that Daniel is a knight if and only if Daniel is a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that If Sebastian is a knight then Lily is a knave.", "Assume Sebastian is a knight. No contradiction is found in their claim that If Amelia is a knave then Amelia is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that Scarlett is a knave if and only if Victoria is a knight.", "Scarlett cannot be a knight, because this would contradict the claim of their own that Sebastian is a knave and Victoria is a knave.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Sebastian is a knave and Victoria is a knave.", "Victoria cannot be a knight, because this would contradict the claim of their own that Daniel is a knave if and only if Grace is a knave.", "Victoria cannot be a knave, because this would contradict the claim of Amelia that Scarlett is a knave if and only if Victoria is a knight.", "We have exhausted all possibilities for Victoria and Scarlett, so let us go back and reconsider Amelia.", "Amelia cannot be a knave, because this would contradict the claim of Sebastian that If Amelia is a knave then Amelia is a knight.", "We have exhausted all possibilities for Amelia, so let us go back and reconsider Sebastian.", "Assume Sebastian is a knave. No contradiction is found in their false claim that If Amelia is a knave then Amelia is a knight.", "Amelia cannot be a knight, because this would contradict the false claim of Sebastian that If Amelia is a knave then Amelia is a knight.", "Assume Amelia is a knave. No contradiction is found in their false claim that Scarlett is a knave if and only if Victoria is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that Sebastian is a knave and Victoria is a knave.", "Victoria cannot be a knight, because this would contradict the claim of Scarlett that Sebastian is a knave and Victoria is a knave.", "Victoria cannot be a knave, because this would contradict the false claim of Amelia that Scarlett is a knave if and only if Victoria is a knight.", "We have exhausted all possibilities for Victoria, so let us go back and reconsider Scarlett.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Sebastian is a knave and Victoria is a knave.", "Victoria cannot be a knight, because this would contradict the false claim of Amelia that Scarlett is a knave if and only if Victoria is a knight.", "Victoria cannot be a knave, because this would contradict the false claim of Scarlett that Sebastian is a knave and Victoria is a knave.", "We have exhausted all possibilities for Victoria, Scarlett, Amelia, and Sebastian, so let us go back and reconsider Daniel.", "Assume Daniel is a knave. No contradiction is found in their false claim that If Sebastian is a knight then Lily is a knave.", "Assume Sebastian is a knight. No contradiction is found in their claim that If Amelia is a knave then Amelia is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that Scarlett is a knave if and only if Victoria is a knight.", "Scarlett cannot be a knight, because this would contradict the claim of their own that Sebastian is a knave and Victoria is a knave.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Sebastian is a knave and Victoria is a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that Daniel is a knave if and only if Grace is a knave.", "Assume Lily is a knight. No contradiction is found in their claim that Daniel is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 5), ('lying', 5)), ('and', ('lying', 4), ('lying', 6)), ('<=>', ('lying', 1), ('telling-truth', 6)), ('not', ('telling-truth', 5)), ('->', ('lying', 2), ('telling-truth', 2)), ('->', ('telling-truth', 4), ('lying', 3)), ('<=>', ('lying', 5), ('lying', 0)))", "index": 179}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Benjamin, Chloe, Emily, Riley, Mia, Isabella, and Penelope. \"Emily is a knight and Isabella is a knave,\" Benjamin claimed. According to Chloe, \"Penelope is a knight\". Emily said, \"Emily is a knight or Benjamin is a knave.\" Riley was heard saying, \"Mia is a knave and Emily is a knave\". According to Mia, \"Isabella is a knight if and only if Emily is a knave\". Isabella remarked, \"Riley is not a knight\". \"Emily is a knight and Isabella is a knight,\" Penelope mentioned. So who is a knight and who is a knave?", "names": ["Benjamin", "Chloe", "Emily", "Riley", "Mia", "Isabella", "Penelope"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false, false, true, true], "solution_text": "Benjamin is a knave, Chloe is a knight, Emily is a knight, Riley is a knave, Mia is a knave, Isabella is a knight, and Penelope is a knight.", "solution_text_format": "(1) Benjamin is a knave\n(2) Chloe is a knight\n(3) Emily is a knight\n(4) Riley is a knave\n(5) Mia is a knave\n(6) Isabella is a knight\n(7) Penelope is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Benjamin is a knight. No contradiction is found in their claim that Emily is a knight and Isabella is a knave.", "Assume Emily is a knight. No contradiction is found in their claim that Emily is a knight or Benjamin is a knave.", "Isabella cannot be a knight, because this would contradict the claim of Benjamin that Emily is a knight and Isabella is a knave.", "Assume Isabella is a knave. No contradiction is found in their false claim that Riley is not a knight.", "Riley cannot be a knight, because this would contradict the claim of their own that Mia is a knave and Emily is a knave.", "Riley cannot be a knave, because this would contradict the false claim of Isabella that Riley is not a knight.", "We have exhausted all possibilities for Riley and Isabella, so let us go back and reconsider Emily.", "Emily cannot be a knave, because this would contradict the claim of Benjamin that Emily is a knight and Isabella is a knave.", "We have exhausted all possibilities for Emily, so let us go back and reconsider Benjamin.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Emily is a knight and Isabella is a knave.", "Assume Emily is a knight. No contradiction is found in their claim that Emily is a knight or Benjamin is a knave.", "Assume Isabella is a knight. No contradiction is found in their claim that Riley is not a knight.", "Riley cannot be a knight, because this would contradict the claim of their own that Mia is a knave and Emily is a knave.", "Assume Riley is a knave. No contradiction is found in their false claim that Mia is a knave and Emily is a knave.", "Mia cannot be a knight, because this would contradict the claim of their own that Isabella is a knight if and only if Emily is a knave.", "Assume Mia is a knave. No contradiction is found in their false claim that Isabella is a knight if and only if Emily is a knave.", "Assume Chloe is a knight. No contradiction is found in their claim that Penelope is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that Emily is a knight and Isabella is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 2), ('lying', 5)), ('telling-truth', 6), ('or', ('telling-truth', 2), ('lying', 0)), ('and', ('lying', 4), ('lying', 2)), ('<=>', ('telling-truth', 5), ('lying', 2)), ('not', ('telling-truth', 3)), ('and', ('telling-truth', 2), ('telling-truth', 5)))", "index": 180}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: David, Benjamin, Michael, Evelyn, Charlotte, Amelia, and James. In David's words: \"Michael is a knave\". Benjamin stated, \"Charlotte is not a knave\". In Michael's words: \"Charlotte is a knight if and only if David is a knight\". In Evelyn's words: \"James is a knight or Benjamin is a knave\". \"If Evelyn is a knight then Michael is a knave,\" Charlotte declared. Amelia told you that James is not a knave. In James's words: \"David is a knight\". So who is a knight and who is a knave?", "names": ["David", "Benjamin", "Michael", "Evelyn", "Charlotte", "Amelia", "James"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true, false, false, false], "solution_text": "David is a knave, Benjamin is a knave, Michael is a knight, Evelyn is a knight, Charlotte is a knave, Amelia is a knave, and James is a knave.", "solution_text_format": "(1) David is a knave\n(2) Benjamin is a knave\n(3) Michael is a knight\n(4) Evelyn is a knight\n(5) Charlotte is a knave\n(6) Amelia is a knave\n(7) James is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume David is a knight. No contradiction is found in their claim that Michael is a knave.", "Michael cannot be a knight, because this would contradict the claim of David that Michael is a knave.", "Assume Michael is a knave. No contradiction is found in their false claim that Charlotte is a knight if and only if David is a knight.", "Charlotte cannot be a knight, because this would contradict the false claim of Michael that Charlotte is a knight if and only if David is a knight.", "Charlotte cannot be a knave, because this would contradict the false claim of their own that If Evelyn is a knight then Michael is a knave.", "We have exhausted all possibilities for Charlotte and Michael, so let us go back and reconsider David.", "Assume David is a knave. No contradiction is found in their false claim that Michael is a knave.", "Assume Michael is a knight. No contradiction is found in their claim that Charlotte is a knight if and only if David is a knight.", "Charlotte cannot be a knight, because this would contradict the claim of Michael that Charlotte is a knight if and only if David is a knight.", "Assume Charlotte is a knave. No contradiction is found in their false claim that If Evelyn is a knight then Michael is a knave.", "Assume Evelyn is a knight. No contradiction is found in their claim that James is a knight or Benjamin is a knave.", "James cannot be a knight, because this would contradict the claim of their own that David is a knight.", "Assume James is a knave. No contradiction is found in their false claim that David is a knight.", "Benjamin cannot be a knight, because this would contradict the claim of their own that Charlotte is not a knave.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Charlotte is not a knave.", "Amelia cannot be a knight, because this would contradict the claim of their own that James is not a knave.", "Assume Amelia is a knave. No contradiction is found in their false claim that James is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 2), ('not', ('lying', 4)), ('<=>', ('telling-truth', 4), ('telling-truth', 0)), ('or', ('telling-truth', 6), ('lying', 1)), ('->', ('telling-truth', 3), ('lying', 2)), ('not', ('lying', 6)), ('telling-truth', 0))", "index": 181}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Benjamin, Sofia, Mason, Ava, Aria, Abigail, and Liam. Benjamin expressed that Liam is a knave and Liam is a knight. Sofia stated, \"Ava is a knight and Liam is a knight\". According to Mason, \"Ava is a knight or Abigail is a knave\". \"Liam is a knight or Abigail is a knave,\" Ava claimed. \"Mason is a knight and Abigail is a knave,\" Aria claimed. In Abigail's words: \"Ava is a knave and Benjamin is a knight\". \"Ava is a knave and Sofia is a knave\" - Liam. So who is a knight and who is a knave?", "names": ["Benjamin", "Sofia", "Mason", "Ava", "Aria", "Abigail", "Liam"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true, true, false, false], "solution_text": "Benjamin is a knave, Sofia is a knave, Mason is a knight, Ava is a knight, Aria is a knight, Abigail is a knave, and Liam is a knave.", "solution_text_format": "(1) Benjamin is a knave\n(2) Sofia is a knave\n(3) Mason is a knight\n(4) Ava is a knight\n(5) Aria is a knight\n(6) Abigail is a knave\n(7) Liam is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Benjamin cannot be a knight, because this would contradict the claim of their own that Liam is a knave and Liam is a knight.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Liam is a knave and Liam is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that Ava is a knave and Sofia is a knave.", "Ava cannot be a knight, because this would contradict the claim of Liam that Ava is a knave and Sofia is a knave.", "Ava cannot be a knave, because this would contradict the false claim of their own that Liam is a knight or Abigail is a knave.", "We have exhausted all possibilities for Ava, so let us go back and reconsider Liam.", "Assume Liam is a knave. No contradiction is found in their false claim that Ava is a knave and Sofia is a knave.", "Assume Ava is a knight. No contradiction is found in their claim that Liam is a knight or Abigail is a knave.", "Abigail cannot be a knight, because this would contradict the claim of Ava that Liam is a knight or Abigail is a knave.", "Assume Abigail is a knave. No contradiction is found in their false claim that Ava is a knave and Benjamin is a knight.", "Sofia cannot be a knight, because this would contradict the claim of their own that Ava is a knight and Liam is a knight.", "Assume Sofia is a knave. No contradiction is found in their false claim that Ava is a knight and Liam is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that Ava is a knight or Abigail is a knave.", "Assume Aria is a knight. No contradiction is found in their claim that Mason is a knight and Abigail is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 6), ('telling-truth', 6)), ('and', ('telling-truth', 3), ('telling-truth', 6)), ('or', ('telling-truth', 3), ('lying', 5)), ('or', ('telling-truth', 6), ('lying', 5)), ('and', ('telling-truth', 2), ('lying', 5)), ('and', ('lying', 3), ('telling-truth', 0)), ('and', ('lying', 3), ('lying', 1)))", "index": 182}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Isabella, Lucas, Abigail, Ethan, Oliver, Zoey, and William. Isabella asserted: \"If Oliver is a knight then William is a knight\". Lucas said that Isabella is a knight. \"Oliver is a knave and Abigail is a knight\" - Abigail. Ethan told you that Zoey is a knave. Oliver noted, \"Ethan is a knight if and only if Abigail is a knave\". According to Zoey, \"If Lucas is a knight then Isabella is a knight\". \"Zoey is a knave and Ethan is a knight,\" William claimed. So who is a knight and who is a knave?", "names": ["Isabella", "Lucas", "Abigail", "Ethan", "Oliver", "Zoey", "William"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false, false, true, false], "solution_text": "Isabella is a knight, Lucas is a knight, Abigail is a knave, Ethan is a knave, Oliver is a knave, Zoey is a knight, and William is a knave.", "solution_text_format": "(1) Isabella is a knight\n(2) Lucas is a knight\n(3) Abigail is a knave\n(4) Ethan is a knave\n(5) Oliver is a knave\n(6) Zoey is a knight\n(7) William is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Isabella is a knight. No contradiction is found in their claim that If Oliver is a knight then William is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that Ethan is a knight if and only if Abigail is a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that Zoey is a knave.", "Zoey cannot be a knight, because this would contradict the claim of Ethan that Zoey is a knave.", "Zoey cannot be a knave, because this would contradict the false claim of their own that If Lucas is a knight then Isabella is a knight.", "We have exhausted all possibilities for Zoey, so let us go back and reconsider Ethan.", "Assume Ethan is a knave. No contradiction is found in their false claim that Zoey is a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that If Lucas is a knight then Isabella is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that Isabella is a knight.", "Abigail cannot be a knight, because this would contradict the claim of their own that Oliver is a knave and Abigail is a knight.", "Abigail cannot be a knave, because this would contradict the claim of Oliver that Ethan is a knight if and only if Abigail is a knave.", "We have exhausted all possibilities for Abigail, so let us go back and reconsider Lucas.", "Lucas cannot be a knave, because this would contradict the false claim of their own that Isabella is a knight.", "We have exhausted all possibilities for Lucas, so let us go back and reconsider Zoey.", "Zoey cannot be a knave, because this would contradict the false claim of Ethan that Zoey is a knave.", "We have exhausted all possibilities for Zoey and Ethan, so let us go back and reconsider Oliver.", "Assume Oliver is a knave. No contradiction is found in their false claim that Ethan is a knight if and only if Abigail is a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that Zoey is a knave.", "Zoey cannot be a knight, because this would contradict the claim of Ethan that Zoey is a knave.", "Zoey cannot be a knave, because this would contradict the false claim of their own that If Lucas is a knight then Isabella is a knight.", "We have exhausted all possibilities for Zoey, so let us go back and reconsider Ethan.", "Assume Ethan is a knave. No contradiction is found in their false claim that Zoey is a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that If Lucas is a knight then Isabella is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that Isabella is a knight.", "Abigail cannot be a knight, because this would contradict the false claim of Oliver that Ethan is a knight if and only if Abigail is a knave.", "Assume Abigail is a knave. No contradiction is found in their false claim that Oliver is a knave and Abigail is a knight.", "William cannot be a knight, because this would contradict the claim of their own that Zoey is a knave and Ethan is a knight.", "Assume William is a knave. No contradiction is found in their false claim that Zoey is a knave and Ethan is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 4), ('telling-truth', 6)), ('telling-truth', 0), ('and', ('lying', 4), ('telling-truth', 2)), ('lying', 5), ('<=>', ('telling-truth', 3), ('lying', 2)), ('->', ('telling-truth', 1), ('telling-truth', 0)), ('and', ('lying', 5), ('telling-truth', 3)))", "index": 183}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Logan, Emma, Grace, Alexander, Emily, Daniel, and Oliver. \"Daniel is a knight\" - Logan. Emma remarked, \"Logan is not a knight\". Grace was heard saying, \"Daniel is a knight or Daniel is a knave\". In Alexander's words: \"If Daniel is a knave then Emily is a knight\". Emily commented, \"Oliver is a knight\". Daniel remarked, \"Grace is not a knave\". Oliver said that Logan is a knave or Grace is a knight. So who is a knight and who is a knave?", "names": ["Logan", "Emma", "Grace", "Alexander", "Emily", "Daniel", "Oliver"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, true, true, true], "solution_text": "Logan is a knight, Emma is a knave, Grace is a knight, Alexander is a knight, Emily is a knight, Daniel is a knight, and Oliver is a knight.", "solution_text_format": "(1) Logan is a knight\n(2) Emma is a knave\n(3) Grace is a knight\n(4) Alexander is a knight\n(5) Emily is a knight\n(6) Daniel is a knight\n(7) Oliver is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Logan is a knight. No contradiction is found in their claim that Daniel is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that Grace is not a knave.", "Assume Grace is a knight. No contradiction is found in their claim that Daniel is a knight or Daniel is a knave.", "Emma cannot be a knight, because this would contradict the claim of their own that Logan is not a knight.", "Assume Emma is a knave. No contradiction is found in their false claim that Logan is not a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that If Daniel is a knave then Emily is a knight.", "Assume Emily is a knight. No contradiction is found in their claim that Oliver is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that Logan is a knave or Grace is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 5), ('not', ('telling-truth', 0)), ('or', ('telling-truth', 5), ('lying', 5)), ('->', ('lying', 5), ('telling-truth', 4)), ('telling-truth', 6), ('not', ('lying', 2)), ('or', ('lying', 0), ('telling-truth', 2)))", "index": 184}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Ella, Victoria, Aurora, Noah, Lily, Henry, and Alexander. Ella stated, \"Alexander is a knight or Aurora is a knight\". \"Lily is a knight and Lily is a knave,\" Victoria mentioned. \"If Noah is a knight then Victoria is a knave\" - Aurora. \"Alexander is a knave or Henry is a knave,\" Noah claimed. Lily expressed that Victoria is a knave. As Henry put it, \"Aurora is not a knight\". In a statement by Alexander: \"If Aurora is a knave then Alexander is a knight\". So who is a knight and who is a knave?", "names": ["Ella", "Victoria", "Aurora", "Noah", "Lily", "Henry", "Alexander"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, true, false, true], "solution_text": "Ella is a knight, Victoria is a knave, Aurora is a knight, Noah is a knight, Lily is a knight, Henry is a knave, and Alexander is a knight.", "solution_text_format": "(1) Ella is a knight\n(2) Victoria is a knave\n(3) Aurora is a knight\n(4) Noah is a knight\n(5) Lily is a knight\n(6) Henry is a knave\n(7) Alexander is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ella is a knight. No contradiction is found in their claim that Alexander is a knight or Aurora is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that If Aurora is a knave then Alexander is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that If Noah is a knight then Victoria is a knave.", "Assume Noah is a knight. No contradiction is found in their claim that Alexander is a knave or Henry is a knave.", "Henry cannot be a knight, because this would contradict the claim of Noah that Alexander is a knave or Henry is a knave.", "Assume Henry is a knave. No contradiction is found in their false claim that Aurora is not a knight.", "Victoria cannot be a knight, because this would contradict the claim of their own that Lily is a knight and Lily is a knave.", "Assume Victoria is a knave. No contradiction is found in their false claim that Lily is a knight and Lily is a knave.", "Assume Lily is a knight. No contradiction is found in their claim that Victoria is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 6), ('telling-truth', 2)), ('and', ('telling-truth', 4), ('lying', 4)), ('->', ('telling-truth', 3), ('lying', 1)), ('or', ('lying', 6), ('lying', 5)), ('lying', 1), ('not', ('telling-truth', 2)), ('->', ('lying', 2), ('telling-truth', 6)))", "index": 185}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Olivia, David, Ava, Benjamin, Chloe, Amelia, and Daniel. In Olivia's words: \"Benjamin is a knight if and only if David is a knave\". David stated, \"Amelia is a knave or Benjamin is a knight\". According to Ava, \"Chloe is a knight or Daniel is a knight\". According to Benjamin, \"David is a knave if and only if Benjamin is a knight\". Chloe told you that If David is a knight then Daniel is a knight. Amelia remarked, \"Amelia is a knight\". \"Ava is a knave,\" Daniel declared. So who is a knight and who is a knave?", "names": ["Olivia", "David", "Ava", "Benjamin", "Chloe", "Amelia", "Daniel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false, true, true, false], "solution_text": "Olivia is a knave, David is a knave, Ava is a knight, Benjamin is a knave, Chloe is a knight, Amelia is a knight, and Daniel is a knave.", "solution_text_format": "(1) Olivia is a knave\n(2) David is a knave\n(3) Ava is a knight\n(4) Benjamin is a knave\n(5) Chloe is a knight\n(6) Amelia is a knight\n(7) Daniel is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Olivia is a knight. No contradiction is found in their claim that Benjamin is a knight if and only if David is a knave.", "Assume Benjamin is a knight. No contradiction is found in their claim that David is a knave if and only if Benjamin is a knight.", "David cannot be a knight, because this would contradict the claim of Olivia that Benjamin is a knight if and only if David is a knave.", "David cannot be a knave, because this would contradict the false claim of their own that Amelia is a knave or Benjamin is a knight.", "We have exhausted all possibilities for David, so let us go back and reconsider Benjamin.", "Assume Benjamin is a knave. No contradiction is found in their false claim that David is a knave if and only if Benjamin is a knight.", "David cannot be a knight, because this would contradict the false claim of Benjamin that David is a knave if and only if Benjamin is a knight.", "David cannot be a knave, because this would contradict the claim of Olivia that Benjamin is a knight if and only if David is a knave.", "We have exhausted all possibilities for David and Benjamin, so let us go back and reconsider Olivia.", "Assume Olivia is a knave. No contradiction is found in their false claim that Benjamin is a knight if and only if David is a knave.", "Assume Benjamin is a knight. No contradiction is found in their claim that David is a knave if and only if Benjamin is a knight.", "David cannot be a knight, because this would contradict the claim of Benjamin that David is a knave if and only if Benjamin is a knight.", "David cannot be a knave, because this would contradict the false claim of Olivia that Benjamin is a knight if and only if David is a knave.", "We have exhausted all possibilities for David, so let us go back and reconsider Benjamin.", "Assume Benjamin is a knave. No contradiction is found in their false claim that David is a knave if and only if Benjamin is a knight.", "David cannot be a knight, because this would contradict the false claim of Olivia that Benjamin is a knight if and only if David is a knave.", "Assume David is a knave. No contradiction is found in their false claim that Amelia is a knave or Benjamin is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that Amelia is a knight.", "Assume Ava is a knight. No contradiction is found in their claim that Chloe is a knight or Daniel is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that If David is a knight then Daniel is a knight.", "Daniel cannot be a knight, because this would contradict the claim of their own that Ava is a knave.", "Assume Daniel is a knave. No contradiction is found in their false claim that Ava is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 3), ('lying', 1)), ('or', ('lying', 5), ('telling-truth', 3)), ('or', ('telling-truth', 4), ('telling-truth', 6)), ('<=>', ('lying', 1), ('telling-truth', 3)), ('->', ('telling-truth', 1), ('telling-truth', 6)), ('telling-truth', 5), ('lying', 2))", "index": 186}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Lily, James, Alexander, Owen, Scarlett, Sophia, and David. Lily expressed that Sophia is a knight. \"Scarlett is a knave,\" James claimed. \"James is a knight if and only if Lily is a knight,\" Alexander mentioned. \"Owen is a knight or Scarlett is a knight\" - Owen. In a statement by Scarlett: \"If James is a knave then David is a knight\". In Sophia's words: \"David is a knight or Scarlett is a knight\". In a statement by David: \"Sophia is a knave or David is a knight\". So who is a knight and who is a knave?", "names": ["Lily", "James", "Alexander", "Owen", "Scarlett", "Sophia", "David"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, true, true, true], "solution_text": "Lily is a knight, James is a knave, Alexander is a knave, Owen is a knight, Scarlett is a knight, Sophia is a knight, and David is a knight.", "solution_text_format": "(1) Lily is a knight\n(2) James is a knave\n(3) Alexander is a knave\n(4) Owen is a knight\n(5) Scarlett is a knight\n(6) Sophia is a knight\n(7) David is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Lily is a knight. No contradiction is found in their claim that Sophia is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that David is a knight or Scarlett is a knight.", "Assume David is a knight. No contradiction is found in their claim that Sophia is a knave or David is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that If James is a knave then David is a knight.", "James cannot be a knight, because this would contradict the claim of their own that Scarlett is a knave.", "Assume James is a knave. No contradiction is found in their false claim that Scarlett is a knave.", "Alexander cannot be a knight, because this would contradict the claim of their own that James is a knight if and only if Lily is a knight.", "Assume Alexander is a knave. No contradiction is found in their false claim that James is a knight if and only if Lily is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that Owen is a knight or Scarlett is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 5), ('lying', 4), ('<=>', ('telling-truth', 1), ('telling-truth', 0)), ('or', ('telling-truth', 3), ('telling-truth', 4)), ('->', ('lying', 1), ('telling-truth', 6)), ('or', ('telling-truth', 6), ('telling-truth', 4)), ('or', ('lying', 5), ('telling-truth', 6)))", "index": 187}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Zoey, Evelyn, Sophia, Matthew, Jackson, Owen, and Benjamin. Zoey noted, \"Zoey is a knight or Sophia is a knave\". In a statement by Evelyn: \"Zoey is a knight\". Sophia asserted: \"Jackson is a knave or Zoey is a knight\". Matthew expressed that If Benjamin is a knave then Zoey is a knave. In a statement by Jackson: \"Sophia is a knight\". Owen noted, \"Matthew is not a knight\". \"Zoey is a knight,\" Benjamin claimed. So who is a knight and who is a knave?", "names": ["Zoey", "Evelyn", "Sophia", "Matthew", "Jackson", "Owen", "Benjamin"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, true, false, true], "solution_text": "Zoey is a knight, Evelyn is a knight, Sophia is a knight, Matthew is a knight, Jackson is a knight, Owen is a knave, and Benjamin is a knight.", "solution_text_format": "(1) Zoey is a knight\n(2) Evelyn is a knight\n(3) Sophia is a knight\n(4) Matthew is a knight\n(5) Jackson is a knight\n(6) Owen is a knave\n(7) Benjamin is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Zoey is a knight. No contradiction is found in their claim that Zoey is a knight or Sophia is a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that Jackson is a knave or Zoey is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that Sophia is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that Zoey is a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that If Benjamin is a knave then Zoey is a knave.", "Assume Benjamin is a knight. No contradiction is found in their claim that Zoey is a knight.", "Owen cannot be a knight, because this would contradict the claim of their own that Matthew is not a knight.", "Assume Owen is a knave. No contradiction is found in their false claim that Matthew is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 0), ('lying', 2)), ('telling-truth', 0), ('or', ('lying', 4), ('telling-truth', 0)), ('->', ('lying', 6), ('lying', 0)), ('telling-truth', 2), ('not', ('telling-truth', 3)), ('telling-truth', 0))", "index": 188}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Daniel, Alexander, Ava, Jacob, Benjamin, Matthew, and Abigail. As Daniel put it, \"If Matthew is a knave then Abigail is a knight\". \"Matthew is a knave and Daniel is a knight\" - Alexander. Ava commented, \"Jacob is a knave\". Jacob noted, \"Daniel is a knight or Alexander is a knight\". Benjamin expressed that Alexander is a knight and Alexander is a knave. In Matthew's words: \"Benjamin is a knight and Ava is a knave\". Abigail told you that Benjamin is not a knight. So who is a knight and who is a knave?", "names": ["Daniel", "Alexander", "Ava", "Jacob", "Benjamin", "Matthew", "Abigail"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true, false, false, true], "solution_text": "Daniel is a knight, Alexander is a knight, Ava is a knave, Jacob is a knight, Benjamin is a knave, Matthew is a knave, and Abigail is a knight.", "solution_text_format": "(1) Daniel is a knight\n(2) Alexander is a knight\n(3) Ava is a knave\n(4) Jacob is a knight\n(5) Benjamin is a knave\n(6) Matthew is a knave\n(7) Abigail is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Daniel is a knight. No contradiction is found in their claim that If Matthew is a knave then Abigail is a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that Benjamin is a knight and Ava is a knave.", "Benjamin cannot be a knight, because this would contradict the claim of their own that Alexander is a knight and Alexander is a knave.", "Benjamin cannot be a knave, because this would contradict the claim of Matthew that Benjamin is a knight and Ava is a knave.", "We have exhausted all possibilities for Benjamin, so let us go back and reconsider Matthew.", "Assume Matthew is a knave. No contradiction is found in their false claim that Benjamin is a knight and Ava is a knave.", "Benjamin cannot be a knight, because this would contradict the claim of their own that Alexander is a knight and Alexander is a knave.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Alexander is a knight and Alexander is a knave.", "Assume Alexander is a knight. No contradiction is found in their claim that Matthew is a knave and Daniel is a knight.", "Assume Ava is a knight. No contradiction is found in their claim that Jacob is a knave.", "Jacob cannot be a knight, because this would contradict the claim of Ava that Jacob is a knave.", "Jacob cannot be a knave, because this would contradict the false claim of their own that Daniel is a knight or Alexander is a knight.", "We have exhausted all possibilities for Jacob, so let us go back and reconsider Ava.", "Assume Ava is a knave. No contradiction is found in their false claim that Jacob is a knave.", "Assume Jacob is a knight. No contradiction is found in their claim that Daniel is a knight or Alexander is a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that Benjamin is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 5), ('telling-truth', 6)), ('and', ('lying', 5), ('telling-truth', 0)), ('lying', 3), ('or', ('telling-truth', 0), ('telling-truth', 1)), ('and', ('telling-truth', 1), ('lying', 1)), ('and', ('telling-truth', 4), ('lying', 2)), ('not', ('telling-truth', 4)))", "index": 189}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Benjamin, Penelope, Victoria, Aiden, Michael, Isabella, and Jackson. \"If Victoria is a knight then Michael is a knight,\" Benjamin declared. Penelope told you that Victoria is a knight or Aiden is a knave. Victoria commented, \"Aiden is a knight\". Aiden asserted: \"Penelope is a knight or Victoria is a knave\". Michael stated, \"Benjamin is a knave or Michael is a knight\". \"Aiden is not a knave\" - Isabella. Jackson asserted: \"Benjamin is a knave\". So who is a knight and who is a knave?", "names": ["Benjamin", "Penelope", "Victoria", "Aiden", "Michael", "Isabella", "Jackson"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, true, true, false], "solution_text": "Benjamin is a knight, Penelope is a knight, Victoria is a knight, Aiden is a knight, Michael is a knight, Isabella is a knight, and Jackson is a knave.", "solution_text_format": "(1) Benjamin is a knight\n(2) Penelope is a knight\n(3) Victoria is a knight\n(4) Aiden is a knight\n(5) Michael is a knight\n(6) Isabella is a knight\n(7) Jackson is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Benjamin is a knight. No contradiction is found in their claim that If Victoria is a knight then Michael is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that Aiden is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that Penelope is a knight or Victoria is a knave.", "Assume Penelope is a knight. No contradiction is found in their claim that Victoria is a knight or Aiden is a knave.", "Assume Michael is a knight. No contradiction is found in their claim that Benjamin is a knave or Michael is a knight.", "Assume Isabella is a knight. No contradiction is found in their claim that Aiden is not a knave.", "Jackson cannot be a knight, because this would contradict the claim of their own that Benjamin is a knave.", "Assume Jackson is a knave. No contradiction is found in their false claim that Benjamin is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 2), ('telling-truth', 4)), ('or', ('telling-truth', 2), ('lying', 3)), ('telling-truth', 3), ('or', ('telling-truth', 1), ('lying', 2)), ('or', ('lying', 0), ('telling-truth', 4)), ('not', ('lying', 3)), ('lying', 0))", "index": 190}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Isabella, Sophia, Matthew, Elizabeth, Lucas, Benjamin, and Owen. Isabella commented, \"Owen is a knave and Sophia is a knave\". Sophia said that Isabella is a knight if and only if Lucas is a knight. In Matthew's words: \"Matthew is a knight if and only if Lucas is a knave\". \"Matthew is a knave and Sophia is a knave\" - Elizabeth. According to Lucas, \"Matthew is a knight if and only if Isabella is a knight\". Benjamin noted, \"Sophia is not a knave\". According to Owen, \"If Isabella is a knight then Sophia is a knave\". So who is a knight and who is a knave?", "names": ["Isabella", "Sophia", "Matthew", "Elizabeth", "Lucas", "Benjamin", "Owen"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false, false, true, true], "solution_text": "Isabella is a knave, Sophia is a knight, Matthew is a knight, Elizabeth is a knave, Lucas is a knave, Benjamin is a knight, and Owen is a knight.", "solution_text_format": "(1) Isabella is a knave\n(2) Sophia is a knight\n(3) Matthew is a knight\n(4) Elizabeth is a knave\n(5) Lucas is a knave\n(6) Benjamin is a knight\n(7) Owen is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Isabella is a knight. No contradiction is found in their claim that Owen is a knave and Sophia is a knave.", "Owen cannot be a knight, because this would contradict the claim of Isabella that Owen is a knave and Sophia is a knave.", "Assume Owen is a knave. No contradiction is found in their false claim that If Isabella is a knight then Sophia is a knave.", "Sophia cannot be a knight, because this would contradict the claim of Isabella that Owen is a knave and Sophia is a knave.", "Sophia cannot be a knave, because this would contradict the false claim of Owen that If Isabella is a knight then Sophia is a knave.", "We have exhausted all possibilities for Sophia and Owen, so let us go back and reconsider Isabella.", "Assume Isabella is a knave. No contradiction is found in their false claim that Owen is a knave and Sophia is a knave.", "Assume Owen is a knight. No contradiction is found in their claim that If Isabella is a knight then Sophia is a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that Isabella is a knight if and only if Lucas is a knight.", "Lucas cannot be a knight, because this would contradict the claim of Sophia that Isabella is a knight if and only if Lucas is a knight.", "Assume Lucas is a knave. No contradiction is found in their false claim that Matthew is a knight if and only if Isabella is a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that Matthew is a knight if and only if Lucas is a knave.", "Elizabeth cannot be a knight, because this would contradict the claim of their own that Matthew is a knave and Sophia is a knave.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Matthew is a knave and Sophia is a knave.", "Assume Benjamin is a knight. No contradiction is found in their claim that Sophia is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 6), ('lying', 1)), ('<=>', ('telling-truth', 0), ('telling-truth', 4)), ('<=>', ('telling-truth', 2), ('lying', 4)), ('and', ('lying', 2), ('lying', 1)), ('<=>', ('telling-truth', 2), ('telling-truth', 0)), ('not', ('lying', 1)), ('->', ('telling-truth', 0), ('lying', 1)))", "index": 191}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Benjamin, Ella, Ava, Abigail, Matthew, Charlotte, and Jack. \"Jack is a knave if and only if Matthew is a knight\" - Benjamin. According to Ella, \"Jack is a knave or Ava is a knave\". Ava was heard saying, \"Matthew is not a knight\". As Abigail put it, \"Matthew is a knave if and only if Ava is a knight\". \"Jack is a knight and Benjamin is a knave\" - Matthew. \"Ella is a knight or Matthew is a knight\" - Charlotte. \"Ella is not a knave,\" Jack claimed. So who is a knight and who is a knave?", "names": ["Benjamin", "Ella", "Ava", "Abigail", "Matthew", "Charlotte", "Jack"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true, true, true, true], "solution_text": "Benjamin is a knave, Ella is a knight, Ava is a knave, Abigail is a knight, Matthew is a knight, Charlotte is a knight, and Jack is a knight.", "solution_text_format": "(1) Benjamin is a knave\n(2) Ella is a knight\n(3) Ava is a knave\n(4) Abigail is a knight\n(5) Matthew is a knight\n(6) Charlotte is a knight\n(7) Jack is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Benjamin is a knight. No contradiction is found in their claim that Jack is a knave if and only if Matthew is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that Ella is not a knave.", "Assume Ella is a knight. No contradiction is found in their claim that Jack is a knave or Ava is a knave.", "Ava cannot be a knight, because this would contradict the claim of Ella that Jack is a knave or Ava is a knave.", "Assume Ava is a knave. No contradiction is found in their false claim that Matthew is not a knight.", "Matthew cannot be a knight, because this would contradict the claim of Benjamin that Jack is a knave if and only if Matthew is a knight.", "Matthew cannot be a knave, because this would contradict the false claim of Ava that Matthew is not a knight.", "We have exhausted all possibilities for Matthew and Ava, so let us go back and reconsider Ella.", "Ella cannot be a knave, because this would contradict the claim of Jack that Ella is not a knave.", "We have exhausted all possibilities for Ella, so let us go back and reconsider Jack.", "Assume Jack is a knave. No contradiction is found in their false claim that Ella is not a knave.", "Ella cannot be a knight, because this would contradict the false claim of Jack that Ella is not a knave.", "Ella cannot be a knave, because this would contradict the false claim of their own that Jack is a knave or Ava is a knave.", "We have exhausted all possibilities for Ella and Jack, so let us go back and reconsider Benjamin.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Jack is a knave if and only if Matthew is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that Ella is not a knave.", "Assume Ella is a knight. No contradiction is found in their claim that Jack is a knave or Ava is a knave.", "Ava cannot be a knight, because this would contradict the claim of Ella that Jack is a knave or Ava is a knave.", "Assume Ava is a knave. No contradiction is found in their false claim that Matthew is not a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that Jack is a knight and Benjamin is a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that Matthew is a knave if and only if Ava is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that Ella is a knight or Matthew is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 6), ('telling-truth', 4)), ('or', ('lying', 6), ('lying', 2)), ('not', ('telling-truth', 4)), ('<=>', ('lying', 4), ('telling-truth', 2)), ('and', ('telling-truth', 6), ('lying', 0)), ('or', ('telling-truth', 1), ('telling-truth', 4)), ('not', ('lying', 1)))", "index": 192}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Jacob, Amelia, David, Evelyn, Mia, Sebastian, and Grace. Jacob said that Evelyn is not a knight. Amelia said, \"If Grace is a knave then Evelyn is a knight.\" David remarked, \"Jacob is a knight if and only if David is a knight\". Evelyn said that Jacob is a knave or David is a knave. Mia noted, \"Evelyn is a knave if and only if Grace is a knight\". Sebastian noted, \"Mia is a knight\". Grace commented, \"Jacob is a knave and Grace is a knight\". So who is a knight and who is a knave?", "names": ["Jacob", "Amelia", "David", "Evelyn", "Mia", "Sebastian", "Grace"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false, false, false, false], "solution_text": "Jacob is a knight, Amelia is a knave, David is a knight, Evelyn is a knave, Mia is a knave, Sebastian is a knave, and Grace is a knave.", "solution_text_format": "(1) Jacob is a knight\n(2) Amelia is a knave\n(3) David is a knight\n(4) Evelyn is a knave\n(5) Mia is a knave\n(6) Sebastian is a knave\n(7) Grace is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jacob is a knight. No contradiction is found in their claim that Evelyn is not a knight.", "Evelyn cannot be a knight, because this would contradict the claim of Jacob that Evelyn is not a knight.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Jacob is a knave or David is a knave.", "Assume David is a knight. No contradiction is found in their claim that Jacob is a knight if and only if David is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that If Grace is a knave then Evelyn is a knight.", "Grace cannot be a knight, because this would contradict the claim of their own that Jacob is a knave and Grace is a knight.", "Grace cannot be a knave, because this would contradict the claim of Amelia that If Grace is a knave then Evelyn is a knight.", "We have exhausted all possibilities for Grace, so let us go back and reconsider Amelia.", "Assume Amelia is a knave. No contradiction is found in their false claim that If Grace is a knave then Evelyn is a knight.", "Grace cannot be a knight, because this would contradict the false claim of Amelia that If Grace is a knave then Evelyn is a knight.", "Assume Grace is a knave. No contradiction is found in their false claim that Jacob is a knave and Grace is a knight.", "Mia cannot be a knight, because this would contradict the claim of their own that Evelyn is a knave if and only if Grace is a knight.", "Assume Mia is a knave. No contradiction is found in their false claim that Evelyn is a knave if and only if Grace is a knight.", "Sebastian cannot be a knight, because this would contradict the claim of their own that Mia is a knight.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Mia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 3)), ('->', ('lying', 6), ('telling-truth', 3)), ('<=>', ('telling-truth', 0), ('telling-truth', 2)), ('or', ('lying', 0), ('lying', 2)), ('<=>', ('lying', 3), ('telling-truth', 6)), ('telling-truth', 4), ('and', ('lying', 0), ('telling-truth', 6)))", "index": 193}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Sofia, Abigail, Ava, Ethan, Samuel, Michael, and Riley. Sofia said that Ava is a knave if and only if Ava is a knight. Abigail noted, \"If Sofia is a knight then Riley is a knave\". Ava asserted: \"Abigail is not a knave\". Ethan expressed that If Samuel is a knight then Michael is a knave. \"Riley is a knight and Ava is a knave,\" Samuel claimed. \"Riley is a knight and Ava is a knight\" - Michael. Riley told you that Ethan is a knave or Sofia is a knight. So who is a knight and who is a knave?", "names": ["Sofia", "Abigail", "Ava", "Ethan", "Samuel", "Michael", "Riley"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, false, false, false], "solution_text": "Sofia is a knave, Abigail is a knight, Ava is a knight, Ethan is a knight, Samuel is a knave, Michael is a knave, and Riley is a knave.", "solution_text_format": "(1) Sofia is a knave\n(2) Abigail is a knight\n(3) Ava is a knight\n(4) Ethan is a knight\n(5) Samuel is a knave\n(6) Michael is a knave\n(7) Riley is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Sofia cannot be a knight, because this would contradict the claim of their own that Ava is a knave if and only if Ava is a knight.", "Assume Sofia is a knave. No contradiction is found in their false claim that Ava is a knave if and only if Ava is a knight.", "Assume Ava is a knight. No contradiction is found in their claim that Abigail is not a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that If Sofia is a knight then Riley is a knave.", "Assume Riley is a knight. No contradiction is found in their claim that Ethan is a knave or Sofia is a knight.", "Ethan cannot be a knight, because this would contradict the claim of Riley that Ethan is a knave or Sofia is a knight.", "Assume Ethan is a knave. No contradiction is found in their false claim that If Samuel is a knight then Michael is a knave.", "Samuel cannot be a knight, because this would contradict the claim of their own that Riley is a knight and Ava is a knave.", "Samuel cannot be a knave, because this would contradict the false claim of Ethan that If Samuel is a knight then Michael is a knave.", "We have exhausted all possibilities for Samuel and Ethan, so let us go back and reconsider Riley.", "Assume Riley is a knave. No contradiction is found in their false claim that Ethan is a knave or Sofia is a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that If Samuel is a knight then Michael is a knave.", "Samuel cannot be a knight, because this would contradict the claim of their own that Riley is a knight and Ava is a knave.", "Assume Samuel is a knave. No contradiction is found in their false claim that Riley is a knight and Ava is a knave.", "Michael cannot be a knight, because this would contradict the claim of their own that Riley is a knight and Ava is a knight.", "Assume Michael is a knave. No contradiction is found in their false claim that Riley is a knight and Ava is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 2), ('telling-truth', 2)), ('->', ('telling-truth', 0), ('lying', 6)), ('not', ('lying', 1)), ('->', ('telling-truth', 4), ('lying', 5)), ('and', ('telling-truth', 6), ('lying', 2)), ('and', ('telling-truth', 6), ('telling-truth', 2)), ('or', ('lying', 3), ('telling-truth', 0)))", "index": 194}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: James, Jackson, Emily, Liam, Jacob, Oliver, and Jack. James commented, \"Jack is a knave if and only if James is a knight\". \"Jacob is not a knight,\" Jackson mentioned. In a statement by Emily: \"Liam is a knave\". In a statement by Liam: \"James is a knight or Jackson is a knight\". Jacob stated, \"James is not a knave\". According to Oliver, \"Liam is not a knave\". Jack remarked, \"Jacob is not a knight\". So who is a knight and who is a knave?", "names": ["James", "Jackson", "Emily", "Liam", "Jacob", "Oliver", "Jack"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, true, true, false], "solution_text": "James is a knight, Jackson is a knave, Emily is a knave, Liam is a knight, Jacob is a knight, Oliver is a knight, and Jack is a knave.", "solution_text_format": "(1) James is a knight\n(2) Jackson is a knave\n(3) Emily is a knave\n(4) Liam is a knight\n(5) Jacob is a knight\n(6) Oliver is a knight\n(7) Jack is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume James is a knight. No contradiction is found in their claim that Jack is a knave if and only if James is a knight.", "Jack cannot be a knight, because this would contradict the claim of James that Jack is a knave if and only if James is a knight.", "Assume Jack is a knave. No contradiction is found in their false claim that Jacob is not a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that James is not a knave.", "Jackson cannot be a knight, because this would contradict the claim of their own that Jacob is not a knight.", "Assume Jackson is a knave. No contradiction is found in their false claim that Jacob is not a knight.", "Assume Emily is a knight. No contradiction is found in their claim that Liam is a knave.", "Liam cannot be a knight, because this would contradict the claim of Emily that Liam is a knave.", "Liam cannot be a knave, because this would contradict the false claim of their own that James is a knight or Jackson is a knight.", "We have exhausted all possibilities for Liam, so let us go back and reconsider Emily.", "Assume Emily is a knave. No contradiction is found in their false claim that Liam is a knave.", "Assume Liam is a knight. No contradiction is found in their claim that James is a knight or Jackson is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that Liam is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 6), ('telling-truth', 0)), ('not', ('telling-truth', 4)), ('lying', 3), ('or', ('telling-truth', 0), ('telling-truth', 1)), ('not', ('lying', 0)), ('not', ('lying', 3)), ('not', ('telling-truth', 4)))", "index": 195}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: William, Ella, Henry, Mason, James, Emma, and Harper. William asserted: \"If William is a knight then Mason is a knave\". Ella stated, \"Mason is a knave\". Henry commented, \"Henry is a knight if and only if James is a knight\". According to Mason, \"Henry is a knave\". \"Henry is a knave or Henry is a knight,\" James claimed. \"Henry is not a knave\" - Emma. Harper expressed that William is a knight or Ella is a knave. So who is a knight and who is a knave?", "names": ["William", "Ella", "Henry", "Mason", "James", "Emma", "Harper"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false, true, true, true], "solution_text": "William is a knight, Ella is a knight, Henry is a knight, Mason is a knave, James is a knight, Emma is a knight, and Harper is a knight.", "solution_text_format": "(1) William is a knight\n(2) Ella is a knight\n(3) Henry is a knight\n(4) Mason is a knave\n(5) James is a knight\n(6) Emma is a knight\n(7) Harper is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume William is a knight. No contradiction is found in their claim that If William is a knight then Mason is a knave.", "Mason cannot be a knight, because this would contradict the claim of William that If William is a knight then Mason is a knave.", "Assume Mason is a knave. No contradiction is found in their false claim that Henry is a knave.", "Assume Henry is a knight. No contradiction is found in their claim that Henry is a knight if and only if James is a knight.", "Assume James is a knight. No contradiction is found in their claim that Henry is a knave or Henry is a knight.", "Assume Ella is a knight. No contradiction is found in their claim that Mason is a knave.", "Assume Emma is a knight. No contradiction is found in their claim that Henry is not a knave.", "Assume Harper is a knight. No contradiction is found in their claim that William is a knight or Ella is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 0), ('lying', 3)), ('lying', 3), ('<=>', ('telling-truth', 2), ('telling-truth', 4)), ('lying', 2), ('or', ('lying', 2), ('telling-truth', 2)), ('not', ('lying', 2)), ('or', ('telling-truth', 0), ('lying', 1)))", "index": 196}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Owen, Aria, Victoria, Penelope, Chloe, Jacob, and Olivia. Owen said, \"Olivia is a knight if and only if Aria is a knight.\" Aria asserted: \"Penelope is a knight or Olivia is a knave\". As Victoria put it, \"Penelope is a knight if and only if Jacob is a knave\". Penelope asserted: \"Jacob is a knave and Jacob is a knight\". Chloe stated, \"Olivia is not a knave\". Jacob stated, \"Victoria is a knave and Penelope is a knight\". \"If Victoria is a knight then Victoria is a knave,\" Olivia mentioned. So who is a knight and who is a knave?", "names": ["Owen", "Aria", "Victoria", "Penelope", "Chloe", "Jacob", "Olivia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, false, true, false, true], "solution_text": "Owen is a knave, Aria is a knave, Victoria is a knave, Penelope is a knave, Chloe is a knight, Jacob is a knave, and Olivia is a knight.", "solution_text_format": "(1) Owen is a knave\n(2) Aria is a knave\n(3) Victoria is a knave\n(4) Penelope is a knave\n(5) Chloe is a knight\n(6) Jacob is a knave\n(7) Olivia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Owen is a knight. No contradiction is found in their claim that Olivia is a knight if and only if Aria is a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that If Victoria is a knight then Victoria is a knave.", "Victoria cannot be a knight, because this would contradict the claim of Olivia that If Victoria is a knight then Victoria is a knave.", "Assume Victoria is a knave. No contradiction is found in their false claim that Penelope is a knight if and only if Jacob is a knave.", "Penelope cannot be a knight, because this would contradict the claim of their own that Jacob is a knave and Jacob is a knight.", "Assume Penelope is a knave. No contradiction is found in their false claim that Jacob is a knave and Jacob is a knight.", "Jacob cannot be a knight, because this would contradict the false claim of Victoria that Penelope is a knight if and only if Jacob is a knave.", "Assume Jacob is a knave. No contradiction is found in their false claim that Victoria is a knave and Penelope is a knight.", "Aria cannot be a knight, because this would contradict the claim of their own that Penelope is a knight or Olivia is a knave.", "Aria cannot be a knave, because this would contradict the claim of Owen that Olivia is a knight if and only if Aria is a knight.", "We have exhausted all possibilities for Aria, Jacob, Penelope, and Victoria, so let us go back and reconsider Olivia.", "Assume Olivia is a knave. No contradiction is found in their false claim that If Victoria is a knight then Victoria is a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that Penelope is a knight if and only if Jacob is a knave.", "Penelope cannot be a knight, because this would contradict the claim of their own that Jacob is a knave and Jacob is a knight.", "Assume Penelope is a knave. No contradiction is found in their false claim that Jacob is a knave and Jacob is a knight.", "Jacob cannot be a knight, because this would contradict the claim of their own that Victoria is a knave and Penelope is a knight.", "Jacob cannot be a knave, because this would contradict the claim of Victoria that Penelope is a knight if and only if Jacob is a knave.", "We have exhausted all possibilities for Jacob and Penelope, so let us go back and reconsider Victoria.", "Victoria cannot be a knave, because this would contradict the false claim of Olivia that If Victoria is a knight then Victoria is a knave.", "We have exhausted all possibilities for Victoria and Olivia, so let us go back and reconsider Owen.", "Assume Owen is a knave. No contradiction is found in their false claim that Olivia is a knight if and only if Aria is a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that If Victoria is a knight then Victoria is a knave.", "Victoria cannot be a knight, because this would contradict the claim of Olivia that If Victoria is a knight then Victoria is a knave.", "Assume Victoria is a knave. No contradiction is found in their false claim that Penelope is a knight if and only if Jacob is a knave.", "Penelope cannot be a knight, because this would contradict the claim of their own that Jacob is a knave and Jacob is a knight.", "Assume Penelope is a knave. No contradiction is found in their false claim that Jacob is a knave and Jacob is a knight.", "Jacob cannot be a knight, because this would contradict the false claim of Victoria that Penelope is a knight if and only if Jacob is a knave.", "Assume Jacob is a knave. No contradiction is found in their false claim that Victoria is a knave and Penelope is a knight.", "Aria cannot be a knight, because this would contradict the false claim of Owen that Olivia is a knight if and only if Aria is a knight.", "Assume Aria is a knave. No contradiction is found in their false claim that Penelope is a knight or Olivia is a knave.", "Assume Chloe is a knight. No contradiction is found in their claim that Olivia is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 6), ('telling-truth', 1)), ('or', ('telling-truth', 3), ('lying', 6)), ('<=>', ('telling-truth', 3), ('lying', 5)), ('and', ('lying', 5), ('telling-truth', 5)), ('not', ('lying', 6)), ('and', ('lying', 2), ('telling-truth', 3)), ('->', ('telling-truth', 2), ('lying', 2)))", "index": 197}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Logan, Emma, Aurora, Liam, Jackson, Aria, and Aiden. \"If Emma is a knight then Aurora is a knave,\" Logan claimed. Emma commented, \"Liam is not a knave\". Aurora said, \"Jackson is not a knight.\" Liam stated, \"Aria is a knight\". \"Logan is a knight,\" Jackson mentioned. According to Aria, \"Aiden is a knave and Jackson is a knight\". In Aiden's words: \"If Jackson is a knight then Logan is a knave\". So who is a knight and who is a knave?", "names": ["Logan", "Emma", "Aurora", "Liam", "Jackson", "Aria", "Aiden"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true, true, true, false], "solution_text": "Logan is a knight, Emma is a knight, Aurora is a knave, Liam is a knight, Jackson is a knight, Aria is a knight, and Aiden is a knave.", "solution_text_format": "(1) Logan is a knight\n(2) Emma is a knight\n(3) Aurora is a knave\n(4) Liam is a knight\n(5) Jackson is a knight\n(6) Aria is a knight\n(7) Aiden is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Logan is a knight. No contradiction is found in their claim that If Emma is a knight then Aurora is a knave.", "Assume Emma is a knight. No contradiction is found in their claim that Liam is not a knave.", "Assume Liam is a knight. No contradiction is found in their claim that Aria is a knight.", "Assume Aria is a knight. No contradiction is found in their claim that Aiden is a knave and Jackson is a knight.", "Aiden cannot be a knight, because this would contradict the claim of Aria that Aiden is a knave and Jackson is a knight.", "Assume Aiden is a knave. No contradiction is found in their false claim that If Jackson is a knight then Logan is a knave.", "Assume Jackson is a knight. No contradiction is found in their claim that Logan is a knight.", "Aurora cannot be a knight, because this would contradict the claim of Logan that If Emma is a knight then Aurora is a knave.", "Assume Aurora is a knave. No contradiction is found in their false claim that Jackson is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 1), ('lying', 2)), ('not', ('lying', 3)), ('not', ('telling-truth', 4)), ('telling-truth', 5), ('telling-truth', 0), ('and', ('lying', 6), ('telling-truth', 4)), ('->', ('telling-truth', 4), ('lying', 0)))", "index": 198}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Olivia, Aiden, Aurora, Michael, Lily, Amelia, and Noah. Olivia stated, \"Amelia is a knight and Lily is a knave\". Aiden noted, \"Lily is a knave\". Aurora stated, \"Amelia is not a knight\". Michael remarked, \"Noah is a knight and Aurora is a knight\". Lily remarked, \"Aiden is a knight if and only if Amelia is a knave\". Amelia expressed that If Michael is a knave then Lily is a knave. As Noah put it, \"Lily is a knight and Amelia is a knave\". So who is a knight and who is a knave?", "names": ["Olivia", "Aiden", "Aurora", "Michael", "Lily", "Amelia", "Noah"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false, false, true, false], "solution_text": "Olivia is a knight, Aiden is a knight, Aurora is a knave, Michael is a knave, Lily is a knave, Amelia is a knight, and Noah is a knave.", "solution_text_format": "(1) Olivia is a knight\n(2) Aiden is a knight\n(3) Aurora is a knave\n(4) Michael is a knave\n(5) Lily is a knave\n(6) Amelia is a knight\n(7) Noah is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Olivia is a knight. No contradiction is found in their claim that Amelia is a knight and Lily is a knave.", "Assume Amelia is a knight. No contradiction is found in their claim that If Michael is a knave then Lily is a knave.", "Assume Michael is a knight. No contradiction is found in their claim that Noah is a knight and Aurora is a knight.", "Noah cannot be a knight, because this would contradict the claim of their own that Lily is a knight and Amelia is a knave.", "Noah cannot be a knave, because this would contradict the claim of Michael that Noah is a knight and Aurora is a knight.", "We have exhausted all possibilities for Noah, so let us go back and reconsider Michael.", "Assume Michael is a knave. No contradiction is found in their false claim that Noah is a knight and Aurora is a knight.", "Noah cannot be a knight, because this would contradict the claim of their own that Lily is a knight and Amelia is a knave.", "Assume Noah is a knave. No contradiction is found in their false claim that Lily is a knight and Amelia is a knave.", "Lily cannot be a knight, because this would contradict the claim of Olivia that Amelia is a knight and Lily is a knave.", "Assume Lily is a knave. No contradiction is found in their false claim that Aiden is a knight if and only if Amelia is a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that Lily is a knave.", "Aurora cannot be a knight, because this would contradict the claim of their own that Amelia is not a knight.", "Assume Aurora is a knave. No contradiction is found in their false claim that Amelia is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 5), ('lying', 4)), ('lying', 4), ('not', ('telling-truth', 5)), ('and', ('telling-truth', 6), ('telling-truth', 2)), ('<=>', ('telling-truth', 1), ('lying', 5)), ('->', ('lying', 3), ('lying', 4)), ('and', ('telling-truth', 4), ('lying', 5)))", "index": 199}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Mason, Michael, Benjamin, Jackson, Isabella, David, and Olivia. \"Benjamin is not a knave,\" Mason mentioned. In a statement by Michael: \"Michael is a knight and David is a knight\". According to Benjamin, \"Isabella is a knight\". In a statement by Jackson: \"Michael is a knight or Olivia is a knave\". In Isabella's words: \"Mason is a knave and David is a knight\". David remarked, \"Mason is a knight if and only if Isabella is a knave\". Olivia remarked, \"Benjamin is a knave and Michael is a knave\". So who is a knight and who is a knave?", "names": ["Mason", "Michael", "Benjamin", "Jackson", "Isabella", "David", "Olivia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, false, false, false, true], "solution_text": "Mason is a knave, Michael is a knave, Benjamin is a knave, Jackson is a knave, Isabella is a knave, David is a knave, and Olivia is a knight.", "solution_text_format": "(1) Mason is a knave\n(2) Michael is a knave\n(3) Benjamin is a knave\n(4) Jackson is a knave\n(5) Isabella is a knave\n(6) David is a knave\n(7) Olivia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Mason is a knight. No contradiction is found in their claim that Benjamin is not a knave.", "Assume Benjamin is a knight. No contradiction is found in their claim that Isabella is a knight.", "Isabella cannot be a knight, because this would contradict the claim of their own that Mason is a knave and David is a knight.", "Isabella cannot be a knave, because this would contradict the claim of Benjamin that Isabella is a knight.", "We have exhausted all possibilities for Isabella, so let us go back and reconsider Benjamin.", "Benjamin cannot be a knave, because this would contradict the claim of Mason that Benjamin is not a knave.", "We have exhausted all possibilities for Benjamin, so let us go back and reconsider Mason.", "Assume Mason is a knave. No contradiction is found in their false claim that Benjamin is not a knave.", "Benjamin cannot be a knight, because this would contradict the false claim of Mason that Benjamin is not a knave.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Isabella is a knight.", "Isabella cannot be a knight, because this would contradict the false claim of Benjamin that Isabella is a knight.", "Assume Isabella is a knave. No contradiction is found in their false claim that Mason is a knave and David is a knight.", "David cannot be a knight, because this would contradict the false claim of Isabella that Mason is a knave and David is a knight.", "Assume David is a knave. No contradiction is found in their false claim that Mason is a knight if and only if Isabella is a knave.", "Michael cannot be a knight, because this would contradict the claim of their own that Michael is a knight and David is a knight.", "Assume Michael is a knave. No contradiction is found in their false claim that Michael is a knight and David is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that Michael is a knight or Olivia is a knave.", "Olivia cannot be a knight, because this would contradict the claim of Jackson that Michael is a knight or Olivia is a knave.", "Olivia cannot be a knave, because this would contradict the false claim of their own that Benjamin is a knave and Michael is a knave.", "We have exhausted all possibilities for Olivia, so let us go back and reconsider Jackson.", "Assume Jackson is a knave. No contradiction is found in their false claim that Michael is a knight or Olivia is a knave.", "Assume Olivia is a knight. No contradiction is found in their claim that Benjamin is a knave and Michael is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 2)), ('and', ('telling-truth', 1), ('telling-truth', 5)), ('telling-truth', 4), ('or', ('telling-truth', 1), ('lying', 6)), ('and', ('lying', 0), ('telling-truth', 5)), ('<=>', ('telling-truth', 0), ('lying', 4)), ('and', ('lying', 2), ('lying', 1)))", "index": 200}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Luke, Michael, Grace, Ella, Avery, Sophia, and Ava. Luke was heard saying, \"If Sophia is a knave then Ella is a knight\". In a statement by Michael: \"Luke is a knight or Sophia is a knight\". Grace was heard saying, \"Michael is a knight and Ella is a knight\". Ella was heard saying, \"Avery is not a knight\". In a statement by Avery: \"Ava is a knight\". Sophia said that Avery is a knave. In Ava's words: \"Avery is a knight if and only if Sophia is a knight\". So who is a knight and who is a knave?", "names": ["Luke", "Michael", "Grace", "Ella", "Avery", "Sophia", "Ava"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, false, true, false], "solution_text": "Luke is a knight, Michael is a knight, Grace is a knight, Ella is a knight, Avery is a knave, Sophia is a knight, and Ava is a knave.", "solution_text_format": "(1) Luke is a knight\n(2) Michael is a knight\n(3) Grace is a knight\n(4) Ella is a knight\n(5) Avery is a knave\n(6) Sophia is a knight\n(7) Ava is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Luke is a knight. No contradiction is found in their claim that If Sophia is a knave then Ella is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that Avery is a knave.", "Avery cannot be a knight, because this would contradict the claim of Sophia that Avery is a knave.", "Assume Avery is a knave. No contradiction is found in their false claim that Ava is a knight.", "Ava cannot be a knight, because this would contradict the false claim of Avery that Ava is a knight.", "Assume Ava is a knave. No contradiction is found in their false claim that Avery is a knight if and only if Sophia is a knight.", "Assume Ella is a knight. No contradiction is found in their claim that Avery is not a knight.", "Assume Michael is a knight. No contradiction is found in their claim that Luke is a knight or Sophia is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that Michael is a knight and Ella is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 5), ('telling-truth', 3)), ('or', ('telling-truth', 0), ('telling-truth', 5)), ('and', ('telling-truth', 1), ('telling-truth', 3)), ('not', ('telling-truth', 4)), ('telling-truth', 6), ('lying', 4), ('<=>', ('telling-truth', 4), ('telling-truth', 5)))", "index": 201}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Alexander, William, Liam, Henry, Olivia, Riley, and Sofia. \"Henry is a knave or Liam is a knight\" - Alexander. William stated, \"Riley is a knight\". Liam said that Olivia is a knave and Sofia is a knight. \"If Olivia is a knave then Olivia is a knight,\" Henry declared. \"Sofia is a knight,\" Olivia declared. \"If William is a knight then Olivia is a knight,\" Riley claimed. In Sofia's words: \"If Alexander is a knight then Olivia is a knight\". So who is a knight and who is a knave?", "names": ["Alexander", "William", "Liam", "Henry", "Olivia", "Riley", "Sofia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true, true, true, true], "solution_text": "Alexander is a knave, William is a knight, Liam is a knave, Henry is a knight, Olivia is a knight, Riley is a knight, and Sofia is a knight.", "solution_text_format": "(1) Alexander is a knave\n(2) William is a knight\n(3) Liam is a knave\n(4) Henry is a knight\n(5) Olivia is a knight\n(6) Riley is a knight\n(7) Sofia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Alexander is a knight. No contradiction is found in their claim that Henry is a knave or Liam is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that If Olivia is a knave then Olivia is a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that Sofia is a knight.", "Assume Sofia is a knight. No contradiction is found in their claim that If Alexander is a knight then Olivia is a knight.", "Liam cannot be a knight, because this would contradict the claim of their own that Olivia is a knave and Sofia is a knight.", "Liam cannot be a knave, because this would contradict the claim of Alexander that Henry is a knave or Liam is a knight.", "We have exhausted all possibilities for Liam, so let us go back and reconsider Sofia.", "Sofia cannot be a knave, because this would contradict the claim of Olivia that Sofia is a knight.", "We have exhausted all possibilities for Sofia, so let us go back and reconsider Olivia.", "Olivia cannot be a knave, because this would contradict the claim of Henry that If Olivia is a knave then Olivia is a knight.", "We have exhausted all possibilities for Olivia, so let us go back and reconsider Henry.", "Assume Henry is a knave. No contradiction is found in their false claim that If Olivia is a knave then Olivia is a knight.", "Olivia cannot be a knight, because this would contradict the false claim of Henry that If Olivia is a knave then Olivia is a knight.", "Assume Olivia is a knave. No contradiction is found in their false claim that Sofia is a knight.", "Sofia cannot be a knight, because this would contradict the false claim of Olivia that Sofia is a knight.", "Assume Sofia is a knave. No contradiction is found in their false claim that If Alexander is a knight then Olivia is a knight.", "Liam cannot be a knight, because this would contradict the claim of their own that Olivia is a knave and Sofia is a knight.", "Assume Liam is a knave. No contradiction is found in their false claim that Olivia is a knave and Sofia is a knight.", "Assume William is a knight. No contradiction is found in their claim that Riley is a knight.", "Riley cannot be a knight, because this would contradict the claim of their own that If William is a knight then Olivia is a knight.", "Riley cannot be a knave, because this would contradict the claim of William that Riley is a knight.", "We have exhausted all possibilities for Riley, so let us go back and reconsider William.", "Assume William is a knave. No contradiction is found in their false claim that Riley is a knight.", "Riley cannot be a knight, because this would contradict the false claim of William that Riley is a knight.", "Riley cannot be a knave, because this would contradict the false claim of their own that If William is a knight then Olivia is a knight.", "We have exhausted all possibilities for Riley, William, Liam, Sofia, Olivia, and Henry, so let us go back and reconsider Alexander.", "Assume Alexander is a knave. No contradiction is found in their false claim that Henry is a knave or Liam is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that If Olivia is a knave then Olivia is a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that Sofia is a knight.", "Assume Sofia is a knight. No contradiction is found in their claim that If Alexander is a knight then Olivia is a knight.", "Liam cannot be a knight, because this would contradict the false claim of Alexander that Henry is a knave or Liam is a knight.", "Assume Liam is a knave. No contradiction is found in their false claim that Olivia is a knave and Sofia is a knight.", "Assume William is a knight. No contradiction is found in their claim that Riley is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that If William is a knight then Olivia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 3), ('telling-truth', 2)), ('telling-truth', 5), ('and', ('lying', 4), ('telling-truth', 6)), ('->', ('lying', 4), ('telling-truth', 4)), ('telling-truth', 6), ('->', ('telling-truth', 1), ('telling-truth', 4)), ('->', ('telling-truth', 0), ('telling-truth', 4)))", "index": 202}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Ava, Aria, Sofia, Emma, Aurora, Mason, and Benjamin. \"Emma is not a knave,\" Ava mentioned. According to Aria, \"Aurora is a knight if and only if Benjamin is a knave\". \"Aria is a knight,\" Sofia claimed. Emma stated, \"Mason is not a knight\". As Aurora put it, \"Benjamin is a knight and Benjamin is a knave\". Mason was heard saying, \"Benjamin is a knight or Emma is a knave\". As Benjamin put it, \"Ava is not a knave\". So who is a knight and who is a knave?", "names": ["Ava", "Aria", "Sofia", "Emma", "Aurora", "Mason", "Benjamin"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, false, false, true, false], "solution_text": "Ava is a knave, Aria is a knave, Sofia is a knave, Emma is a knave, Aurora is a knave, Mason is a knight, and Benjamin is a knave.", "solution_text_format": "(1) Ava is a knave\n(2) Aria is a knave\n(3) Sofia is a knave\n(4) Emma is a knave\n(5) Aurora is a knave\n(6) Mason is a knight\n(7) Benjamin is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ava is a knight. No contradiction is found in their claim that Emma is not a knave.", "Assume Emma is a knight. No contradiction is found in their claim that Mason is not a knight.", "Mason cannot be a knight, because this would contradict the claim of Emma that Mason is not a knight.", "Assume Mason is a knave. No contradiction is found in their false claim that Benjamin is a knight or Emma is a knave.", "Benjamin cannot be a knight, because this would contradict the false claim of Mason that Benjamin is a knight or Emma is a knave.", "Benjamin cannot be a knave, because this would contradict the false claim of their own that Ava is not a knave.", "We have exhausted all possibilities for Benjamin and Mason, so let us go back and reconsider Emma.", "Emma cannot be a knave, because this would contradict the claim of Ava that Emma is not a knave.", "We have exhausted all possibilities for Emma, so let us go back and reconsider Ava.", "Assume Ava is a knave. No contradiction is found in their false claim that Emma is not a knave.", "Emma cannot be a knight, because this would contradict the false claim of Ava that Emma is not a knave.", "Assume Emma is a knave. No contradiction is found in their false claim that Mason is not a knight.", "Assume Mason is a knight. No contradiction is found in their claim that Benjamin is a knight or Emma is a knave.", "Benjamin cannot be a knight, because this would contradict the claim of their own that Ava is not a knave.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Ava is not a knave.", "Assume Aria is a knight. No contradiction is found in their claim that Aurora is a knight if and only if Benjamin is a knave.", "Aurora cannot be a knight, because this would contradict the claim of their own that Benjamin is a knight and Benjamin is a knave.", "Aurora cannot be a knave, because this would contradict the claim of Aria that Aurora is a knight if and only if Benjamin is a knave.", "We have exhausted all possibilities for Aurora, so let us go back and reconsider Aria.", "Assume Aria is a knave. No contradiction is found in their false claim that Aurora is a knight if and only if Benjamin is a knave.", "Aurora cannot be a knight, because this would contradict the false claim of Aria that Aurora is a knight if and only if Benjamin is a knave.", "Assume Aurora is a knave. No contradiction is found in their false claim that Benjamin is a knight and Benjamin is a knave.", "Sofia cannot be a knight, because this would contradict the claim of their own that Aria is a knight.", "Assume Sofia is a knave. No contradiction is found in their false claim that Aria is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 3)), ('<=>', ('telling-truth', 4), ('lying', 6)), ('telling-truth', 1), ('not', ('telling-truth', 5)), ('and', ('telling-truth', 6), ('lying', 6)), ('or', ('telling-truth', 6), ('lying', 3)), ('not', ('lying', 0)))", "index": 203}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Mia, Joseph, Samuel, Grace, Isabella, Noah, and Evelyn. \"Samuel is a knight or Isabella is a knave,\" Mia mentioned. As Joseph put it, \"Isabella is a knave or Samuel is a knight\". \"Joseph is a knight or Samuel is a knight,\" Samuel declared. Grace asserted: \"Evelyn is a knight\". \"Grace is a knave and Grace is a knight,\" Isabella claimed. \"If Mia is a knave then Grace is a knight,\" Noah claimed. In Evelyn's words: \"Noah is not a knave\". So who is a knight and who is a knave?", "names": ["Mia", "Joseph", "Samuel", "Grace", "Isabella", "Noah", "Evelyn"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, false, true, true], "solution_text": "Mia is a knight, Joseph is a knight, Samuel is a knight, Grace is a knight, Isabella is a knave, Noah is a knight, and Evelyn is a knight.", "solution_text_format": "(1) Mia is a knight\n(2) Joseph is a knight\n(3) Samuel is a knight\n(4) Grace is a knight\n(5) Isabella is a knave\n(6) Noah is a knight\n(7) Evelyn is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Mia is a knight. No contradiction is found in their claim that Samuel is a knight or Isabella is a knave.", "Assume Samuel is a knight. No contradiction is found in their claim that Joseph is a knight or Samuel is a knight.", "Assume Joseph is a knight. No contradiction is found in their claim that Isabella is a knave or Samuel is a knight.", "Isabella cannot be a knight, because this would contradict the claim of their own that Grace is a knave and Grace is a knight.", "Assume Isabella is a knave. No contradiction is found in their false claim that Grace is a knave and Grace is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that Evelyn is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that Noah is not a knave.", "Assume Noah is a knight. No contradiction is found in their claim that If Mia is a knave then Grace is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 2), ('lying', 4)), ('or', ('lying', 4), ('telling-truth', 2)), ('or', ('telling-truth', 1), ('telling-truth', 2)), ('telling-truth', 6), ('and', ('lying', 3), ('telling-truth', 3)), ('->', ('lying', 0), ('telling-truth', 3)), ('not', ('lying', 5)))", "index": 204}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Lily, Elizabeth, Chloe, Michael, Logan, William, and Joseph. Lily said, \"Chloe is a knave or Logan is a knave.\" In Elizabeth's words: \"Joseph is not a knight\". Chloe remarked, \"Elizabeth is a knight\". Michael noted, \"Lily is a knave if and only if Elizabeth is a knave\". \"William is a knave,\" Logan declared. \"If Elizabeth is a knave then Michael is a knave,\" William declared. Joseph was heard saying, \"If Lily is a knave then Michael is a knave\". So who is a knight and who is a knave?", "names": ["Lily", "Elizabeth", "Chloe", "Michael", "Logan", "William", "Joseph"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false, false, true, true], "solution_text": "Lily is a knight, Elizabeth is a knave, Chloe is a knave, Michael is a knave, Logan is a knave, William is a knight, and Joseph is a knight.", "solution_text_format": "(1) Lily is a knight\n(2) Elizabeth is a knave\n(3) Chloe is a knave\n(4) Michael is a knave\n(5) Logan is a knave\n(6) William is a knight\n(7) Joseph is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Lily is a knight. No contradiction is found in their claim that Chloe is a knave or Logan is a knave.", "Assume Chloe is a knight. No contradiction is found in their claim that Elizabeth is a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Joseph is not a knight.", "Joseph cannot be a knight, because this would contradict the claim of Elizabeth that Joseph is not a knight.", "Joseph cannot be a knave, because this would contradict the false claim of their own that If Lily is a knave then Michael is a knave.", "We have exhausted all possibilities for Joseph, so let us go back and reconsider Elizabeth.", "Elizabeth cannot be a knave, because this would contradict the claim of Chloe that Elizabeth is a knight.", "We have exhausted all possibilities for Elizabeth, so let us go back and reconsider Chloe.", "Assume Chloe is a knave. No contradiction is found in their false claim that Elizabeth is a knight.", "Elizabeth cannot be a knight, because this would contradict the false claim of Chloe that Elizabeth is a knight.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Joseph is not a knight.", "Assume Joseph is a knight. No contradiction is found in their claim that If Lily is a knave then Michael is a knave.", "Michael cannot be a knight, because this would contradict the claim of their own that Lily is a knave if and only if Elizabeth is a knave.", "Assume Michael is a knave. No contradiction is found in their false claim that Lily is a knave if and only if Elizabeth is a knave.", "Assume Logan is a knight. No contradiction is found in their claim that William is a knave.", "William cannot be a knight, because this would contradict the claim of Logan that William is a knave.", "William cannot be a knave, because this would contradict the false claim of their own that If Elizabeth is a knave then Michael is a knave.", "We have exhausted all possibilities for William, so let us go back and reconsider Logan.", "Assume Logan is a knave. No contradiction is found in their false claim that William is a knave.", "Assume William is a knight. No contradiction is found in their claim that If Elizabeth is a knave then Michael is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 2), ('lying', 4)), ('not', ('telling-truth', 6)), ('telling-truth', 1), ('<=>', ('lying', 0), ('lying', 1)), ('lying', 5), ('->', ('lying', 1), ('lying', 3)), ('->', ('lying', 0), ('lying', 3)))", "index": 205}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Victoria, Isabella, Noah, Ethan, Jackson, Amelia, and Zoey. \"Ethan is a knave or Zoey is a knight,\" Victoria mentioned. Isabella stated, \"Noah is a knight and Victoria is a knight\". In a statement by Noah: \"If Zoey is a knight then Ethan is a knave\". As Ethan put it, \"Amelia is a knave or Zoey is a knight\". Jackson noted, \"Ethan is a knight\". In Amelia's words: \"Noah is a knight\". Zoey told you that Amelia is a knight or Amelia is a knave. So who is a knight and who is a knave?", "names": ["Victoria", "Isabella", "Noah", "Ethan", "Jackson", "Amelia", "Zoey"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, true, false, true], "solution_text": "Victoria is a knight, Isabella is a knave, Noah is a knave, Ethan is a knight, Jackson is a knight, Amelia is a knave, and Zoey is a knight.", "solution_text_format": "(1) Victoria is a knight\n(2) Isabella is a knave\n(3) Noah is a knave\n(4) Ethan is a knight\n(5) Jackson is a knight\n(6) Amelia is a knave\n(7) Zoey is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Victoria is a knight. No contradiction is found in their claim that Ethan is a knave or Zoey is a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that Amelia is a knave or Zoey is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that Noah is a knight.", "Assume Noah is a knight. No contradiction is found in their claim that If Zoey is a knight then Ethan is a knave.", "Zoey cannot be a knight, because this would contradict the claim of Noah that If Zoey is a knight then Ethan is a knave.", "Zoey cannot be a knave, because this would contradict the claim of Victoria that Ethan is a knave or Zoey is a knight.", "We have exhausted all possibilities for Zoey, so let us go back and reconsider Noah.", "Noah cannot be a knave, because this would contradict the claim of Amelia that Noah is a knight.", "We have exhausted all possibilities for Noah, so let us go back and reconsider Amelia.", "Assume Amelia is a knave. No contradiction is found in their false claim that Noah is a knight.", "Noah cannot be a knight, because this would contradict the false claim of Amelia that Noah is a knight.", "Assume Noah is a knave. No contradiction is found in their false claim that If Zoey is a knight then Ethan is a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that Amelia is a knight or Amelia is a knave.", "Isabella cannot be a knight, because this would contradict the claim of their own that Noah is a knight and Victoria is a knight.", "Assume Isabella is a knave. No contradiction is found in their false claim that Noah is a knight and Victoria is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that Ethan is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 3), ('telling-truth', 6)), ('and', ('telling-truth', 2), ('telling-truth', 0)), ('->', ('telling-truth', 6), ('lying', 3)), ('or', ('lying', 5), ('telling-truth', 6)), ('telling-truth', 3), ('telling-truth', 2), ('or', ('telling-truth', 5), ('lying', 5)))", "index": 206}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: James, Avery, Noah, Jacob, Chloe, Amelia, and Jackson. James said, \"Jackson is a knave and Chloe is a knave.\" According to Avery, \"James is a knave or Amelia is a knave\". Noah expressed that Jackson is a knight or James is a knight. Jacob expressed that Amelia is a knave if and only if Avery is a knight. Chloe remarked, \"Chloe is a knight if and only if Jacob is a knight\". Amelia expressed that If Chloe is a knave then Jacob is a knave. Jackson noted, \"Jacob is a knave if and only if Noah is a knave\". So who is a knight and who is a knave?", "names": ["James", "Avery", "Noah", "Jacob", "Chloe", "Amelia", "Jackson"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, false, false, true], "solution_text": "James is a knave, Avery is a knight, Noah is a knight, Jacob is a knight, Chloe is a knave, Amelia is a knave, and Jackson is a knight.", "solution_text_format": "(1) James is a knave\n(2) Avery is a knight\n(3) Noah is a knight\n(4) Jacob is a knight\n(5) Chloe is a knave\n(6) Amelia is a knave\n(7) Jackson is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume James is a knight. No contradiction is found in their claim that Jackson is a knave and Chloe is a knave.", "Jackson cannot be a knight, because this would contradict the claim of James that Jackson is a knave and Chloe is a knave.", "Assume Jackson is a knave. No contradiction is found in their false claim that Jacob is a knave if and only if Noah is a knave.", "Assume Jacob is a knight. No contradiction is found in their claim that Amelia is a knave if and only if Avery is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that If Chloe is a knave then Jacob is a knave.", "Chloe cannot be a knight, because this would contradict the claim of James that Jackson is a knave and Chloe is a knave.", "Chloe cannot be a knave, because this would contradict the claim of Amelia that If Chloe is a knave then Jacob is a knave.", "We have exhausted all possibilities for Chloe, so let us go back and reconsider Amelia.", "Assume Amelia is a knave. No contradiction is found in their false claim that If Chloe is a knave then Jacob is a knave.", "Chloe cannot be a knight, because this would contradict the claim of James that Jackson is a knave and Chloe is a knave.", "Assume Chloe is a knave. No contradiction is found in their false claim that Chloe is a knight if and only if Jacob is a knight.", "Assume Avery is a knight. No contradiction is found in their claim that James is a knave or Amelia is a knave.", "Noah cannot be a knight, because this would contradict the false claim of Jackson that Jacob is a knave if and only if Noah is a knave.", "Noah cannot be a knave, because this would contradict the false claim of their own that Jackson is a knight or James is a knight.", "We have exhausted all possibilities for Noah, so let us go back and reconsider Avery.", "Avery cannot be a knave, because this would contradict the false claim of their own that James is a knave or Amelia is a knave.", "We have exhausted all possibilities for Avery, Chloe, and Amelia, so let us go back and reconsider Jacob.", "Assume Jacob is a knave. No contradiction is found in their false claim that Amelia is a knave if and only if Avery is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that If Chloe is a knave then Jacob is a knave.", "Chloe cannot be a knight, because this would contradict the claim of James that Jackson is a knave and Chloe is a knave.", "Chloe cannot be a knave, because this would contradict the false claim of their own that Chloe is a knight if and only if Jacob is a knight.", "We have exhausted all possibilities for Chloe, so let us go back and reconsider Amelia.", "Amelia cannot be a knave, because this would contradict the false claim of their own that If Chloe is a knave then Jacob is a knave.", "We have exhausted all possibilities for Amelia, Jacob, and Jackson, so let us go back and reconsider James.", "Assume James is a knave. No contradiction is found in their false claim that Jackson is a knave and Chloe is a knave.", "Assume Jackson is a knight. No contradiction is found in their claim that Jacob is a knave if and only if Noah is a knave.", "Assume Jacob is a knight. No contradiction is found in their claim that Amelia is a knave if and only if Avery is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that If Chloe is a knave then Jacob is a knave.", "Assume Chloe is a knight. No contradiction is found in their claim that Chloe is a knight if and only if Jacob is a knight.", "Avery cannot be a knight, because this would contradict the claim of Jacob that Amelia is a knave if and only if Avery is a knight.", "Avery cannot be a knave, because this would contradict the false claim of their own that James is a knave or Amelia is a knave.", "We have exhausted all possibilities for Avery, so let us go back and reconsider Chloe.", "Chloe cannot be a knave, because this would contradict the claim of Amelia that If Chloe is a knave then Jacob is a knave.", "We have exhausted all possibilities for Chloe, so let us go back and reconsider Amelia.", "Assume Amelia is a knave. No contradiction is found in their false claim that If Chloe is a knave then Jacob is a knave.", "Chloe cannot be a knight, because this would contradict the false claim of Amelia that If Chloe is a knave then Jacob is a knave.", "Assume Chloe is a knave. No contradiction is found in their false claim that Chloe is a knight if and only if Jacob is a knight.", "Assume Avery is a knight. No contradiction is found in their claim that James is a knave or Amelia is a knave.", "Assume Noah is a knight. No contradiction is found in their claim that Jackson is a knight or James is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 6), ('lying', 4)), ('or', ('lying', 0), ('lying', 5)), ('or', ('telling-truth', 6), ('telling-truth', 0)), ('<=>', ('lying', 5), ('telling-truth', 1)), ('<=>', ('telling-truth', 4), ('telling-truth', 3)), ('->', ('lying', 4), ('lying', 3)), ('<=>', ('lying', 3), ('lying', 2)))", "index": 207}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Ella, Emma, Samuel, Isabella, Daniel, Amelia, and Avery. In Ella's words: \"Daniel is a knight or Avery is a knave\". According to Emma, \"If Daniel is a knave then Avery is a knave\". Samuel stated, \"If Amelia is a knight then Samuel is a knight\". As Isabella put it, \"Daniel is a knave or Amelia is a knave\". Daniel expressed that Avery is a knave and Daniel is a knight. Amelia said that Daniel is a knight. Avery was heard saying, \"Daniel is a knave or Isabella is a knave\". So who is a knight and who is a knave?", "names": ["Ella", "Emma", "Samuel", "Isabella", "Daniel", "Amelia", "Avery"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true, false, false, true], "solution_text": "Ella is a knave, Emma is a knave, Samuel is a knight, Isabella is a knight, Daniel is a knave, Amelia is a knave, and Avery is a knight.", "solution_text_format": "(1) Ella is a knave\n(2) Emma is a knave\n(3) Samuel is a knight\n(4) Isabella is a knight\n(5) Daniel is a knave\n(6) Amelia is a knave\n(7) Avery is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ella is a knight. No contradiction is found in their claim that Daniel is a knight or Avery is a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that Avery is a knave and Daniel is a knight.", "Avery cannot be a knight, because this would contradict the claim of Daniel that Avery is a knave and Daniel is a knight.", "Assume Avery is a knave. No contradiction is found in their false claim that Daniel is a knave or Isabella is a knave.", "Assume Isabella is a knight. No contradiction is found in their claim that Daniel is a knave or Amelia is a knave.", "Amelia cannot be a knight, because this would contradict the claim of Isabella that Daniel is a knave or Amelia is a knave.", "Amelia cannot be a knave, because this would contradict the false claim of their own that Daniel is a knight.", "We have exhausted all possibilities for Amelia, so let us go back and reconsider Isabella.", "Isabella cannot be a knave, because this would contradict the false claim of Avery that Daniel is a knave or Isabella is a knave.", "We have exhausted all possibilities for Isabella and Avery, so let us go back and reconsider Daniel.", "Assume Daniel is a knave. No contradiction is found in their false claim that Avery is a knave and Daniel is a knight.", "Avery cannot be a knight, because this would contradict the claim of Ella that Daniel is a knight or Avery is a knave.", "Avery cannot be a knave, because this would contradict the false claim of their own that Daniel is a knave or Isabella is a knave.", "We have exhausted all possibilities for Avery and Daniel, so let us go back and reconsider Ella.", "Assume Ella is a knave. No contradiction is found in their false claim that Daniel is a knight or Avery is a knave.", "Daniel cannot be a knight, because this would contradict the false claim of Ella that Daniel is a knight or Avery is a knave.", "Assume Daniel is a knave. No contradiction is found in their false claim that Avery is a knave and Daniel is a knight.", "Assume Avery is a knight. No contradiction is found in their claim that Daniel is a knave or Isabella is a knave.", "Assume Isabella is a knight. No contradiction is found in their claim that Daniel is a knave or Amelia is a knave.", "Amelia cannot be a knight, because this would contradict the claim of their own that Daniel is a knight.", "Assume Amelia is a knave. No contradiction is found in their false claim that Daniel is a knight.", "Emma cannot be a knight, because this would contradict the claim of their own that If Daniel is a knave then Avery is a knave.", "Assume Emma is a knave. No contradiction is found in their false claim that If Daniel is a knave then Avery is a knave.", "Assume Samuel is a knight. No contradiction is found in their claim that If Amelia is a knight then Samuel is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 4), ('lying', 6)), ('->', ('lying', 4), ('lying', 6)), ('->', ('telling-truth', 5), ('telling-truth', 2)), ('or', ('lying', 4), ('lying', 5)), ('and', ('lying', 6), ('telling-truth', 4)), ('telling-truth', 4), ('or', ('lying', 4), ('lying', 3)))", "index": 208}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Isabella, Owen, Michael, Sophia, Samuel, Abigail, and Benjamin. According to Isabella, \"Sophia is a knave if and only if Benjamin is a knave\". Owen asserted: \"Abigail is not a knight\". Michael stated, \"Benjamin is a knave and Abigail is a knight\". Sophia stated, \"Benjamin is a knight\". Samuel said that Isabella is a knight if and only if Benjamin is a knave. Abigail said, \"Owen is a knight or Michael is a knave.\" \"Abigail is a knight or Isabella is a knight\" - Benjamin. So who is a knight and who is a knave?", "names": ["Isabella", "Owen", "Michael", "Sophia", "Samuel", "Abigail", "Benjamin"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, false, true, true], "solution_text": "Isabella is a knight, Owen is a knave, Michael is a knave, Sophia is a knight, Samuel is a knave, Abigail is a knight, and Benjamin is a knight.", "solution_text_format": "(1) Isabella is a knight\n(2) Owen is a knave\n(3) Michael is a knave\n(4) Sophia is a knight\n(5) Samuel is a knave\n(6) Abigail is a knight\n(7) Benjamin is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Isabella is a knight. No contradiction is found in their claim that Sophia is a knave if and only if Benjamin is a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that Benjamin is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that Abigail is a knight or Isabella is a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that Owen is a knight or Michael is a knave.", "Owen cannot be a knight, because this would contradict the claim of their own that Abigail is not a knight.", "Assume Owen is a knave. No contradiction is found in their false claim that Abigail is not a knight.", "Michael cannot be a knight, because this would contradict the claim of their own that Benjamin is a knave and Abigail is a knight.", "Assume Michael is a knave. No contradiction is found in their false claim that Benjamin is a knave and Abigail is a knight.", "Samuel cannot be a knight, because this would contradict the claim of their own that Isabella is a knight if and only if Benjamin is a knave.", "Assume Samuel is a knave. No contradiction is found in their false claim that Isabella is a knight if and only if Benjamin is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 3), ('lying', 6)), ('not', ('telling-truth', 5)), ('and', ('lying', 6), ('telling-truth', 5)), ('telling-truth', 6), ('<=>', ('telling-truth', 0), ('lying', 6)), ('or', ('telling-truth', 1), ('lying', 2)), ('or', ('telling-truth', 5), ('telling-truth', 0)))", "index": 209}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Aiden, Isabella, Sebastian, Olivia, Logan, William, and Zoey. In Aiden's words: \"Sebastian is a knight and Isabella is a knave\". Isabella told you that William is not a knave. Sebastian asserted: \"Olivia is not a knave\". In Olivia's words: \"Aiden is a knave or Sebastian is a knight\". According to Logan, \"Aiden is a knave or William is a knave\". As William put it, \"If Aiden is a knave then Isabella is a knight\". In a statement by Zoey: \"If Aiden is a knight then Logan is a knave\". So who is a knight and who is a knave?", "names": ["Aiden", "Isabella", "Sebastian", "Olivia", "Logan", "William", "Zoey"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, true, true, true], "solution_text": "Aiden is a knave, Isabella is a knight, Sebastian is a knight, Olivia is a knight, Logan is a knight, William is a knight, and Zoey is a knight.", "solution_text_format": "(1) Aiden is a knave\n(2) Isabella is a knight\n(3) Sebastian is a knight\n(4) Olivia is a knight\n(5) Logan is a knight\n(6) William is a knight\n(7) Zoey is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aiden is a knight. No contradiction is found in their claim that Sebastian is a knight and Isabella is a knave.", "Assume Sebastian is a knight. No contradiction is found in their claim that Olivia is not a knave.", "Assume Olivia is a knight. No contradiction is found in their claim that Aiden is a knave or Sebastian is a knight.", "Isabella cannot be a knight, because this would contradict the claim of Aiden that Sebastian is a knight and Isabella is a knave.", "Assume Isabella is a knave. No contradiction is found in their false claim that William is not a knave.", "William cannot be a knight, because this would contradict the false claim of Isabella that William is not a knave.", "William cannot be a knave, because this would contradict the false claim of their own that If Aiden is a knave then Isabella is a knight.", "We have exhausted all possibilities for William and Isabella, so let us go back and reconsider Olivia.", "Olivia cannot be a knave, because this would contradict the claim of Sebastian that Olivia is not a knave.", "We have exhausted all possibilities for Olivia, so let us go back and reconsider Sebastian.", "Sebastian cannot be a knave, because this would contradict the claim of Aiden that Sebastian is a knight and Isabella is a knave.", "We have exhausted all possibilities for Sebastian, so let us go back and reconsider Aiden.", "Assume Aiden is a knave. No contradiction is found in their false claim that Sebastian is a knight and Isabella is a knave.", "Assume Sebastian is a knight. No contradiction is found in their claim that Olivia is not a knave.", "Assume Olivia is a knight. No contradiction is found in their claim that Aiden is a knave or Sebastian is a knight.", "Assume Isabella is a knight. No contradiction is found in their claim that William is not a knave.", "Assume William is a knight. No contradiction is found in their claim that If Aiden is a knave then Isabella is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that Aiden is a knave or William is a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that If Aiden is a knight then Logan is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 2), ('lying', 1)), ('not', ('lying', 5)), ('not', ('lying', 3)), ('or', ('lying', 0), ('telling-truth', 2)), ('or', ('lying', 0), ('lying', 5)), ('->', ('lying', 0), ('telling-truth', 1)), ('->', ('telling-truth', 0), ('lying', 4)))", "index": 210}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Sophia, Isabella, Victoria, David, Abigail, Penelope, and Evelyn. In a statement by Sophia: \"Penelope is a knave and Isabella is a knave\". Isabella told you that Abigail is a knave. \"Penelope is not a knight,\" Victoria declared. David asserted: \"Victoria is a knight\". In a statement by Abigail: \"Penelope is not a knight\". In a statement by Penelope: \"David is a knave or David is a knight\". \"David is not a knight,\" Evelyn claimed. So who is a knight and who is a knave?", "names": ["Sophia", "Isabella", "Victoria", "David", "Abigail", "Penelope", "Evelyn"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false, false, true, true], "solution_text": "Sophia is a knave, Isabella is a knight, Victoria is a knave, David is a knave, Abigail is a knave, Penelope is a knight, and Evelyn is a knight.", "solution_text_format": "(1) Sophia is a knave\n(2) Isabella is a knight\n(3) Victoria is a knave\n(4) David is a knave\n(5) Abigail is a knave\n(6) Penelope is a knight\n(7) Evelyn is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sophia is a knight. No contradiction is found in their claim that Penelope is a knave and Isabella is a knave.", "Penelope cannot be a knight, because this would contradict the claim of Sophia that Penelope is a knave and Isabella is a knave.", "Penelope cannot be a knave, because this would contradict the false claim of their own that David is a knave or David is a knight.", "We have exhausted all possibilities for Penelope, so let us go back and reconsider Sophia.", "Assume Sophia is a knave. No contradiction is found in their false claim that Penelope is a knave and Isabella is a knave.", "Assume Penelope is a knight. No contradiction is found in their claim that David is a knave or David is a knight.", "Assume David is a knight. No contradiction is found in their claim that Victoria is a knight.", "Victoria cannot be a knight, because this would contradict the claim of their own that Penelope is not a knight.", "Victoria cannot be a knave, because this would contradict the claim of David that Victoria is a knight.", "We have exhausted all possibilities for Victoria, so let us go back and reconsider David.", "Assume David is a knave. No contradiction is found in their false claim that Victoria is a knight.", "Victoria cannot be a knight, because this would contradict the claim of their own that Penelope is not a knight.", "Assume Victoria is a knave. No contradiction is found in their false claim that Penelope is not a knight.", "Assume Isabella is a knight. No contradiction is found in their claim that Abigail is a knave.", "Abigail cannot be a knight, because this would contradict the claim of Isabella that Abigail is a knave.", "Assume Abigail is a knave. No contradiction is found in their false claim that Penelope is not a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that David is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 5), ('lying', 1)), ('lying', 4), ('not', ('telling-truth', 5)), ('telling-truth', 2), ('not', ('telling-truth', 5)), ('or', ('lying', 3), ('telling-truth', 3)), ('not', ('telling-truth', 3)))", "index": 211}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Joseph, Liam, Grace, Sophia, Sebastian, Aurora, and Jack. As Joseph put it, \"Grace is a knight and Jack is a knight\". Liam told you that Jack is not a knight. \"Aurora is a knave if and only if Jack is a knight,\" Grace claimed. Sophia asserted: \"If Grace is a knave then Liam is a knave\". Sebastian said that Grace is a knight. Aurora stated, \"If Sophia is a knave then Jack is a knave\". Jack asserted: \"Sophia is a knight and Aurora is a knave\". So who is a knight and who is a knave?", "names": ["Joseph", "Liam", "Grace", "Sophia", "Sebastian", "Aurora", "Jack"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, true, true, false], "solution_text": "Joseph is a knave, Liam is a knight, Grace is a knight, Sophia is a knight, Sebastian is a knight, Aurora is a knight, and Jack is a knave.", "solution_text_format": "(1) Joseph is a knave\n(2) Liam is a knight\n(3) Grace is a knight\n(4) Sophia is a knight\n(5) Sebastian is a knight\n(6) Aurora is a knight\n(7) Jack is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Joseph is a knight. No contradiction is found in their claim that Grace is a knight and Jack is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that Aurora is a knave if and only if Jack is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that If Sophia is a knave then Jack is a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that If Grace is a knave then Liam is a knave.", "Assume Liam is a knight. No contradiction is found in their claim that Jack is not a knight.", "Jack cannot be a knight, because this would contradict the claim of Liam that Jack is not a knight.", "Jack cannot be a knave, because this would contradict the claim of Joseph that Grace is a knight and Jack is a knight.", "We have exhausted all possibilities for Jack, so let us go back and reconsider Liam.", "Assume Liam is a knave. No contradiction is found in their false claim that Jack is not a knight.", "Jack cannot be a knight, because this would contradict the claim of Grace that Aurora is a knave if and only if Jack is a knight.", "Jack cannot be a knave, because this would contradict the claim of Joseph that Grace is a knight and Jack is a knight.", "We have exhausted all possibilities for Jack and Liam, so let us go back and reconsider Sophia.", "Sophia cannot be a knave, because this would contradict the false claim of their own that If Grace is a knave then Liam is a knave.", "We have exhausted all possibilities for Sophia, so let us go back and reconsider Aurora.", "Assume Aurora is a knave. No contradiction is found in their false claim that If Sophia is a knave then Jack is a knave.", "Sophia cannot be a knight, because this would contradict the false claim of Aurora that If Sophia is a knave then Jack is a knave.", "Sophia cannot be a knave, because this would contradict the false claim of their own that If Grace is a knave then Liam is a knave.", "We have exhausted all possibilities for Sophia and Aurora, so let us go back and reconsider Grace.", "Grace cannot be a knave, because this would contradict the claim of Joseph that Grace is a knight and Jack is a knight.", "We have exhausted all possibilities for Grace, so let us go back and reconsider Joseph.", "Assume Joseph is a knave. No contradiction is found in their false claim that Grace is a knight and Jack is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that Aurora is a knave if and only if Jack is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that If Sophia is a knave then Jack is a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that If Grace is a knave then Liam is a knave.", "Assume Liam is a knight. No contradiction is found in their claim that Jack is not a knight.", "Jack cannot be a knight, because this would contradict the false claim of Joseph that Grace is a knight and Jack is a knight.", "Assume Jack is a knave. No contradiction is found in their false claim that Sophia is a knight and Aurora is a knave.", "Assume Sebastian is a knight. No contradiction is found in their claim that Grace is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 2), ('telling-truth', 6)), ('not', ('telling-truth', 6)), ('<=>', ('lying', 5), ('telling-truth', 6)), ('->', ('lying', 2), ('lying', 1)), ('telling-truth', 2), ('->', ('lying', 3), ('lying', 6)), ('and', ('telling-truth', 3), ('lying', 5)))", "index": 212}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Oliver, Olivia, Riley, James, Charlotte, Mason, and Ella. \"Olivia is a knave and Riley is a knave,\" Oliver mentioned. According to Olivia, \"If Olivia is a knight then Charlotte is a knight\". Riley asserted: \"Mason is not a knave\". James remarked, \"If Mason is a knight then Olivia is a knave\". Charlotte asserted: \"Olivia is a knight\". According to Mason, \"Charlotte is a knave and Olivia is a knave\". Ella said, \"If Mason is a knave then Riley is a knave.\" So who is a knight and who is a knave?", "names": ["Oliver", "Olivia", "Riley", "James", "Charlotte", "Mason", "Ella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true, true, false, true], "solution_text": "Oliver is a knave, Olivia is a knight, Riley is a knave, James is a knight, Charlotte is a knight, Mason is a knave, and Ella is a knight.", "solution_text_format": "(1) Oliver is a knave\n(2) Olivia is a knight\n(3) Riley is a knave\n(4) James is a knight\n(5) Charlotte is a knight\n(6) Mason is a knave\n(7) Ella is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Oliver is a knight. No contradiction is found in their claim that Olivia is a knave and Riley is a knave.", "Olivia cannot be a knight, because this would contradict the claim of Oliver that Olivia is a knave and Riley is a knave.", "Olivia cannot be a knave, because this would contradict the false claim of their own that If Olivia is a knight then Charlotte is a knight.", "We have exhausted all possibilities for Olivia, so let us go back and reconsider Oliver.", "Assume Oliver is a knave. No contradiction is found in their false claim that Olivia is a knave and Riley is a knave.", "Assume Olivia is a knight. No contradiction is found in their claim that If Olivia is a knight then Charlotte is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that Olivia is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that Mason is not a knave.", "Mason cannot be a knight, because this would contradict the claim of their own that Charlotte is a knave and Olivia is a knave.", "Mason cannot be a knave, because this would contradict the claim of Riley that Mason is not a knave.", "We have exhausted all possibilities for Mason, so let us go back and reconsider Riley.", "Assume Riley is a knave. No contradiction is found in their false claim that Mason is not a knave.", "Mason cannot be a knight, because this would contradict the false claim of Riley that Mason is not a knave.", "Assume Mason is a knave. No contradiction is found in their false claim that Charlotte is a knave and Olivia is a knave.", "Assume James is a knight. No contradiction is found in their claim that If Mason is a knight then Olivia is a knave.", "Assume Ella is a knight. No contradiction is found in their claim that If Mason is a knave then Riley is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('lying', 2)), ('->', ('telling-truth', 1), ('telling-truth', 4)), ('not', ('lying', 5)), ('->', ('telling-truth', 5), ('lying', 1)), ('telling-truth', 1), ('and', ('lying', 4), ('lying', 1)), ('->', ('lying', 5), ('lying', 2)))", "index": 213}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Harper, Joseph, Evelyn, Benjamin, Matthew, Olivia, and Avery. Harper noted, \"If Benjamin is a knave then Benjamin is a knight\". Joseph told you that Evelyn is a knave if and only if Harper is a knight. Evelyn told you that Evelyn is a knight if and only if Matthew is a knave. Benjamin stated, \"Evelyn is a knight or Joseph is a knave\". \"Avery is not a knave\" - Matthew. Olivia told you that Harper is a knight. Avery remarked, \"Olivia is a knave and Avery is a knight\". So who is a knight and who is a knave?", "names": ["Harper", "Joseph", "Evelyn", "Benjamin", "Matthew", "Olivia", "Avery"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, false, true, false], "solution_text": "Harper is a knight, Joseph is a knave, Evelyn is a knight, Benjamin is a knight, Matthew is a knave, Olivia is a knight, and Avery is a knave.", "solution_text_format": "(1) Harper is a knight\n(2) Joseph is a knave\n(3) Evelyn is a knight\n(4) Benjamin is a knight\n(5) Matthew is a knave\n(6) Olivia is a knight\n(7) Avery is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Harper is a knight. No contradiction is found in their claim that If Benjamin is a knave then Benjamin is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that Evelyn is a knight or Joseph is a knave.", "Assume Evelyn is a knight. No contradiction is found in their claim that Evelyn is a knight if and only if Matthew is a knave.", "Matthew cannot be a knight, because this would contradict the claim of Evelyn that Evelyn is a knight if and only if Matthew is a knave.", "Assume Matthew is a knave. No contradiction is found in their false claim that Avery is not a knave.", "Avery cannot be a knight, because this would contradict the false claim of Matthew that Avery is not a knave.", "Assume Avery is a knave. No contradiction is found in their false claim that Olivia is a knave and Avery is a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that Harper is a knight.", "Joseph cannot be a knight, because this would contradict the claim of their own that Evelyn is a knave if and only if Harper is a knight.", "Assume Joseph is a knave. No contradiction is found in their false claim that Evelyn is a knave if and only if Harper is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 3), ('telling-truth', 3)), ('<=>', ('lying', 2), ('telling-truth', 0)), ('<=>', ('telling-truth', 2), ('lying', 4)), ('or', ('telling-truth', 2), ('lying', 1)), ('not', ('lying', 6)), ('telling-truth', 0), ('and', ('lying', 5), ('telling-truth', 6)))", "index": 214}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Amelia, Isabella, William, Mason, Matthew, Ethan, and Luke. In Amelia's words: \"Mason is a knight and Ethan is a knave\". \"Mason is a knave\" - Isabella. \"Isabella is a knave\" - William. Mason said that If Luke is a knight then William is a knight. Matthew expressed that Mason is a knave. Ethan remarked, \"Mason is a knight if and only if Luke is a knight\". Luke remarked, \"If Mason is a knight then Amelia is a knight\". So who is a knight and who is a knave?", "names": ["Amelia", "Isabella", "William", "Mason", "Matthew", "Ethan", "Luke"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false, true, false, true], "solution_text": "Amelia is a knave, Isabella is a knight, William is a knave, Mason is a knave, Matthew is a knight, Ethan is a knave, and Luke is a knight.", "solution_text_format": "(1) Amelia is a knave\n(2) Isabella is a knight\n(3) William is a knave\n(4) Mason is a knave\n(5) Matthew is a knight\n(6) Ethan is a knave\n(7) Luke is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Amelia is a knight. No contradiction is found in their claim that Mason is a knight and Ethan is a knave.", "Assume Mason is a knight. No contradiction is found in their claim that If Luke is a knight then William is a knight.", "Assume Luke is a knight. No contradiction is found in their claim that If Mason is a knight then Amelia is a knight.", "Assume William is a knight. No contradiction is found in their claim that Isabella is a knave.", "Isabella cannot be a knight, because this would contradict the claim of their own that Mason is a knave.", "Assume Isabella is a knave. No contradiction is found in their false claim that Mason is a knave.", "Ethan cannot be a knight, because this would contradict the claim of Amelia that Mason is a knight and Ethan is a knave.", "Ethan cannot be a knave, because this would contradict the false claim of their own that Mason is a knight if and only if Luke is a knight.", "We have exhausted all possibilities for Ethan and Isabella, so let us go back and reconsider William.", "William cannot be a knave, because this would contradict the claim of Mason that If Luke is a knight then William is a knight.", "We have exhausted all possibilities for William, so let us go back and reconsider Luke.", "Luke cannot be a knave, because this would contradict the false claim of their own that If Mason is a knight then Amelia is a knight.", "We have exhausted all possibilities for Luke, so let us go back and reconsider Mason.", "Mason cannot be a knave, because this would contradict the claim of Amelia that Mason is a knight and Ethan is a knave.", "We have exhausted all possibilities for Mason, so let us go back and reconsider Amelia.", "Assume Amelia is a knave. No contradiction is found in their false claim that Mason is a knight and Ethan is a knave.", "Assume Mason is a knight. No contradiction is found in their claim that If Luke is a knight then William is a knight.", "Luke cannot be a knight, because this would contradict the claim of their own that If Mason is a knight then Amelia is a knight.", "Assume Luke is a knave. No contradiction is found in their false claim that If Mason is a knight then Amelia is a knight.", "Assume William is a knight. No contradiction is found in their claim that Isabella is a knave.", "Isabella cannot be a knight, because this would contradict the claim of their own that Mason is a knave.", "Assume Isabella is a knave. No contradiction is found in their false claim that Mason is a knave.", "Ethan cannot be a knight, because this would contradict the claim of their own that Mason is a knight if and only if Luke is a knight.", "Ethan cannot be a knave, because this would contradict the false claim of Amelia that Mason is a knight and Ethan is a knave.", "We have exhausted all possibilities for Ethan and Isabella, so let us go back and reconsider William.", "Assume William is a knave. No contradiction is found in their false claim that Isabella is a knave.", "Isabella cannot be a knight, because this would contradict the claim of their own that Mason is a knave.", "Isabella cannot be a knave, because this would contradict the false claim of William that Isabella is a knave.", "We have exhausted all possibilities for Isabella, William, and Luke, so let us go back and reconsider Mason.", "Assume Mason is a knave. No contradiction is found in their false claim that If Luke is a knight then William is a knight.", "Assume Luke is a knight. No contradiction is found in their claim that If Mason is a knight then Amelia is a knight.", "William cannot be a knight, because this would contradict the false claim of Mason that If Luke is a knight then William is a knight.", "Assume William is a knave. No contradiction is found in their false claim that Isabella is a knave.", "Assume Isabella is a knight. No contradiction is found in their claim that Mason is a knave.", "Ethan cannot be a knight, because this would contradict the claim of their own that Mason is a knight if and only if Luke is a knight.", "Assume Ethan is a knave. No contradiction is found in their false claim that Mason is a knight if and only if Luke is a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that Mason is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 3), ('lying', 5)), ('lying', 3), ('lying', 1), ('->', ('telling-truth', 6), ('telling-truth', 2)), ('lying', 3), ('<=>', ('telling-truth', 3), ('telling-truth', 6)), ('->', ('telling-truth', 3), ('telling-truth', 0)))", "index": 215}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Liam, Aria, Mason, Isabella, Charlotte, Henry, and David. As Liam put it, \"David is not a knave\". \"Henry is a knave and David is a knight,\" Aria mentioned. Mason commented, \"Aria is a knight or David is a knight\". Isabella said, \"Henry is a knave if and only if Liam is a knight.\" Charlotte told you that Aria is a knave. Henry said, \"If Liam is a knave then Henry is a knight.\" David remarked, \"Charlotte is a knight or Liam is a knave\". So who is a knight and who is a knave?", "names": ["Liam", "Aria", "Mason", "Isabella", "Charlotte", "Henry", "David"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false, true, true, true], "solution_text": "Liam is a knight, Aria is a knave, Mason is a knight, Isabella is a knave, Charlotte is a knight, Henry is a knight, and David is a knight.", "solution_text_format": "(1) Liam is a knight\n(2) Aria is a knave\n(3) Mason is a knight\n(4) Isabella is a knave\n(5) Charlotte is a knight\n(6) Henry is a knight\n(7) David is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Liam is a knight. No contradiction is found in their claim that David is not a knave.", "Assume David is a knight. No contradiction is found in their claim that Charlotte is a knight or Liam is a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that Aria is a knave.", "Aria cannot be a knight, because this would contradict the claim of Charlotte that Aria is a knave.", "Assume Aria is a knave. No contradiction is found in their false claim that Henry is a knave and David is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that If Liam is a knave then Henry is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that Aria is a knight or David is a knight.", "Isabella cannot be a knight, because this would contradict the claim of their own that Henry is a knave if and only if Liam is a knight.", "Assume Isabella is a knave. No contradiction is found in their false claim that Henry is a knave if and only if Liam is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 6)), ('and', ('lying', 5), ('telling-truth', 6)), ('or', ('telling-truth', 1), ('telling-truth', 6)), ('<=>', ('lying', 5), ('telling-truth', 0)), ('lying', 1), ('->', ('lying', 0), ('telling-truth', 5)), ('or', ('telling-truth', 4), ('lying', 0)))", "index": 216}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Noah, Oliver, Evelyn, Abigail, Grace, Emma, and David. According to Noah, \"Oliver is not a knight\". \"Emma is a knave or Oliver is a knight,\" Oliver mentioned. Evelyn expressed that Abigail is not a knave. Abigail was heard saying, \"If Grace is a knight then Evelyn is a knight\". Grace stated, \"David is a knight and David is a knave\". Emma asserted: \"If Oliver is a knave then Grace is a knight\". In David's words: \"Abigail is not a knave\". So who is a knight and who is a knave?", "names": ["Noah", "Oliver", "Evelyn", "Abigail", "Grace", "Emma", "David"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, false, true, true], "solution_text": "Noah is a knave, Oliver is a knight, Evelyn is a knight, Abigail is a knight, Grace is a knave, Emma is a knight, and David is a knight.", "solution_text_format": "(1) Noah is a knave\n(2) Oliver is a knight\n(3) Evelyn is a knight\n(4) Abigail is a knight\n(5) Grace is a knave\n(6) Emma is a knight\n(7) David is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Noah is a knight. No contradiction is found in their claim that Oliver is not a knight.", "Oliver cannot be a knight, because this would contradict the claim of Noah that Oliver is not a knight.", "Assume Oliver is a knave. No contradiction is found in their false claim that Emma is a knave or Oliver is a knight.", "Assume Emma is a knight. No contradiction is found in their claim that If Oliver is a knave then Grace is a knight.", "Grace cannot be a knight, because this would contradict the claim of their own that David is a knight and David is a knave.", "Grace cannot be a knave, because this would contradict the claim of Emma that If Oliver is a knave then Grace is a knight.", "We have exhausted all possibilities for Grace, so let us go back and reconsider Emma.", "Emma cannot be a knave, because this would contradict the false claim of Oliver that Emma is a knave or Oliver is a knight.", "We have exhausted all possibilities for Emma and Oliver, so let us go back and reconsider Noah.", "Assume Noah is a knave. No contradiction is found in their false claim that Oliver is not a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that Emma is a knave or Oliver is a knight.", "Assume Emma is a knight. No contradiction is found in their claim that If Oliver is a knave then Grace is a knight.", "Grace cannot be a knight, because this would contradict the claim of their own that David is a knight and David is a knave.", "Assume Grace is a knave. No contradiction is found in their false claim that David is a knight and David is a knave.", "Assume David is a knight. No contradiction is found in their claim that Abigail is not a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that If Grace is a knight then Evelyn is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that Abigail is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('or', ('lying', 5), ('telling-truth', 1)), ('not', ('lying', 3)), ('->', ('telling-truth', 4), ('telling-truth', 2)), ('and', ('telling-truth', 6), ('lying', 6)), ('->', ('lying', 1), ('telling-truth', 4)), ('not', ('lying', 3)))", "index": 217}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: James, Riley, Isabella, Joseph, Penelope, Victoria, and Amelia. James said that Riley is a knave or Isabella is a knight. Riley told you that Joseph is a knave. Isabella commented, \"Penelope is a knave and Penelope is a knight\". Joseph expressed that Amelia is a knight. Penelope told you that Victoria is a knave. Victoria said that Penelope is a knight or James is a knight. In Amelia's words: \"If Victoria is a knave then Isabella is a knight\". So who is a knight and who is a knave?", "names": ["James", "Riley", "Isabella", "Joseph", "Penelope", "Victoria", "Amelia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, false, true, true], "solution_text": "James is a knight, Riley is a knave, Isabella is a knave, Joseph is a knight, Penelope is a knave, Victoria is a knight, and Amelia is a knight.", "solution_text_format": "(1) James is a knight\n(2) Riley is a knave\n(3) Isabella is a knave\n(4) Joseph is a knight\n(5) Penelope is a knave\n(6) Victoria is a knight\n(7) Amelia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume James is a knight. No contradiction is found in their claim that Riley is a knave or Isabella is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that Joseph is a knave.", "Joseph cannot be a knight, because this would contradict the claim of Riley that Joseph is a knave.", "Assume Joseph is a knave. No contradiction is found in their false claim that Amelia is a knight.", "Amelia cannot be a knight, because this would contradict the false claim of Joseph that Amelia is a knight.", "Assume Amelia is a knave. No contradiction is found in their false claim that If Victoria is a knave then Isabella is a knight.", "Victoria cannot be a knight, because this would contradict the false claim of Amelia that If Victoria is a knave then Isabella is a knight.", "Victoria cannot be a knave, because this would contradict the false claim of their own that Penelope is a knight or James is a knight.", "We have exhausted all possibilities for Victoria, Amelia, and Joseph, so let us go back and reconsider Riley.", "Assume Riley is a knave. No contradiction is found in their false claim that Joseph is a knave.", "Assume Joseph is a knight. No contradiction is found in their claim that Amelia is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that If Victoria is a knave then Isabella is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that Penelope is a knight or James is a knight.", "Penelope cannot be a knight, because this would contradict the claim of their own that Victoria is a knave.", "Assume Penelope is a knave. No contradiction is found in their false claim that Victoria is a knave.", "Isabella cannot be a knight, because this would contradict the claim of their own that Penelope is a knave and Penelope is a knight.", "Assume Isabella is a knave. No contradiction is found in their false claim that Penelope is a knave and Penelope is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('telling-truth', 2)), ('lying', 3), ('and', ('lying', 4), ('telling-truth', 4)), ('telling-truth', 6), ('lying', 5), ('or', ('telling-truth', 4), ('telling-truth', 0)), ('->', ('lying', 5), ('telling-truth', 2)))", "index": 218}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Logan, Chloe, Jackson, Samuel, Penelope, Matthew, and Emily. In a statement by Logan: \"Samuel is not a knight\". According to Chloe, \"Logan is a knave\". Jackson expressed that Penelope is a knave or Chloe is a knave. Samuel said that Penelope is a knight. In a statement by Penelope: \"Chloe is a knave if and only if Matthew is a knave\". Matthew noted, \"Chloe is not a knave\". Emily stated, \"Chloe is not a knight\". So who is a knight and who is a knave?", "names": ["Logan", "Chloe", "Jackson", "Samuel", "Penelope", "Matthew", "Emily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true, true, true, false], "solution_text": "Logan is a knave, Chloe is a knight, Jackson is a knave, Samuel is a knight, Penelope is a knight, Matthew is a knight, and Emily is a knave.", "solution_text_format": "(1) Logan is a knave\n(2) Chloe is a knight\n(3) Jackson is a knave\n(4) Samuel is a knight\n(5) Penelope is a knight\n(6) Matthew is a knight\n(7) Emily is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Logan is a knight. No contradiction is found in their claim that Samuel is not a knight.", "Samuel cannot be a knight, because this would contradict the claim of Logan that Samuel is not a knight.", "Assume Samuel is a knave. No contradiction is found in their false claim that Penelope is a knight.", "Penelope cannot be a knight, because this would contradict the false claim of Samuel that Penelope is a knight.", "Assume Penelope is a knave. No contradiction is found in their false claim that Chloe is a knave if and only if Matthew is a knave.", "Chloe cannot be a knight, because this would contradict the claim of their own that Logan is a knave.", "Assume Chloe is a knave. No contradiction is found in their false claim that Logan is a knave.", "Matthew cannot be a knight, because this would contradict the claim of their own that Chloe is not a knave.", "Matthew cannot be a knave, because this would contradict the false claim of Penelope that Chloe is a knave if and only if Matthew is a knave.", "We have exhausted all possibilities for Matthew, Chloe, Penelope, and Samuel, so let us go back and reconsider Logan.", "Assume Logan is a knave. No contradiction is found in their false claim that Samuel is not a knight.", "Assume Samuel is a knight. No contradiction is found in their claim that Penelope is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that Chloe is a knave if and only if Matthew is a knave.", "Assume Chloe is a knight. No contradiction is found in their claim that Logan is a knave.", "Assume Matthew is a knight. No contradiction is found in their claim that Chloe is not a knave.", "Jackson cannot be a knight, because this would contradict the claim of their own that Penelope is a knave or Chloe is a knave.", "Assume Jackson is a knave. No contradiction is found in their false claim that Penelope is a knave or Chloe is a knave.", "Emily cannot be a knight, because this would contradict the claim of their own that Chloe is not a knight.", "Assume Emily is a knave. No contradiction is found in their false claim that Chloe is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 3)), ('lying', 0), ('or', ('lying', 4), ('lying', 1)), ('telling-truth', 4), ('<=>', ('lying', 1), ('lying', 5)), ('not', ('lying', 1)), ('not', ('telling-truth', 1)))", "index": 219}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Luke, David, Henry, Ethan, Jack, Benjamin, and Jacob. \"Henry is a knight and Jacob is a knight,\" Luke declared. David was heard saying, \"Benjamin is a knight if and only if Jacob is a knave\". \"David is a knave or Jack is a knave\" - Henry. Ethan expressed that Jacob is a knight if and only if Jack is a knight. \"If Luke is a knight then David is a knight,\" Jack mentioned. Benjamin asserted: \"Luke is not a knave\". \"Benjamin is not a knight\" - Jacob. So who is a knight and who is a knave?", "names": ["Luke", "David", "Henry", "Ethan", "Jack", "Benjamin", "Jacob"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true, true, false, true], "solution_text": "Luke is a knave, David is a knight, Henry is a knave, Ethan is a knight, Jack is a knight, Benjamin is a knave, and Jacob is a knight.", "solution_text_format": "(1) Luke is a knave\n(2) David is a knight\n(3) Henry is a knave\n(4) Ethan is a knight\n(5) Jack is a knight\n(6) Benjamin is a knave\n(7) Jacob is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Luke is a knight. No contradiction is found in their claim that Henry is a knight and Jacob is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that David is a knave or Jack is a knave.", "Assume David is a knight. No contradiction is found in their claim that Benjamin is a knight if and only if Jacob is a knave.", "Assume Benjamin is a knight. No contradiction is found in their claim that Luke is not a knave.", "Jacob cannot be a knight, because this would contradict the claim of David that Benjamin is a knight if and only if Jacob is a knave.", "Jacob cannot be a knave, because this would contradict the claim of Luke that Henry is a knight and Jacob is a knight.", "We have exhausted all possibilities for Jacob, so let us go back and reconsider Benjamin.", "Benjamin cannot be a knave, because this would contradict the false claim of their own that Luke is not a knave.", "We have exhausted all possibilities for Benjamin, so let us go back and reconsider David.", "Assume David is a knave. No contradiction is found in their false claim that Benjamin is a knight if and only if Jacob is a knave.", "Assume Benjamin is a knight. No contradiction is found in their claim that Luke is not a knave.", "Jacob cannot be a knight, because this would contradict the claim of their own that Benjamin is not a knight.", "Jacob cannot be a knave, because this would contradict the claim of Luke that Henry is a knight and Jacob is a knight.", "We have exhausted all possibilities for Jacob, so let us go back and reconsider Benjamin.", "Benjamin cannot be a knave, because this would contradict the false claim of their own that Luke is not a knave.", "We have exhausted all possibilities for Benjamin and David, so let us go back and reconsider Henry.", "Henry cannot be a knave, because this would contradict the claim of Luke that Henry is a knight and Jacob is a knight.", "We have exhausted all possibilities for Henry, so let us go back and reconsider Luke.", "Assume Luke is a knave. No contradiction is found in their false claim that Henry is a knight and Jacob is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that David is a knave or Jack is a knave.", "Assume David is a knight. No contradiction is found in their claim that Benjamin is a knight if and only if Jacob is a knave.", "Benjamin cannot be a knight, because this would contradict the claim of their own that Luke is not a knave.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Luke is not a knave.", "Jacob cannot be a knight, because this would contradict the false claim of Luke that Henry is a knight and Jacob is a knight.", "Jacob cannot be a knave, because this would contradict the claim of David that Benjamin is a knight if and only if Jacob is a knave.", "We have exhausted all possibilities for Jacob and Benjamin, so let us go back and reconsider David.", "Assume David is a knave. No contradiction is found in their false claim that Benjamin is a knight if and only if Jacob is a knave.", "Benjamin cannot be a knight, because this would contradict the claim of their own that Luke is not a knave.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Luke is not a knave.", "Jacob cannot be a knight, because this would contradict the false claim of Luke that Henry is a knight and Jacob is a knight.", "Jacob cannot be a knave, because this would contradict the false claim of their own that Benjamin is not a knight.", "We have exhausted all possibilities for Jacob, Benjamin, and David, so let us go back and reconsider Henry.", "Assume Henry is a knave. No contradiction is found in their false claim that David is a knave or Jack is a knave.", "Assume David is a knight. No contradiction is found in their claim that Benjamin is a knight if and only if Jacob is a knave.", "Benjamin cannot be a knight, because this would contradict the claim of their own that Luke is not a knave.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Luke is not a knave.", "Assume Jacob is a knight. No contradiction is found in their claim that Benjamin is not a knight.", "Assume Jack is a knight. No contradiction is found in their claim that If Luke is a knight then David is a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that Jacob is a knight if and only if Jack is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 2), ('telling-truth', 6)), ('<=>', ('telling-truth', 5), ('lying', 6)), ('or', ('lying', 1), ('lying', 4)), ('<=>', ('telling-truth', 6), ('telling-truth', 4)), ('->', ('telling-truth', 0), ('telling-truth', 1)), ('not', ('lying', 0)), ('not', ('telling-truth', 5)))", "index": 220}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Mia, Liam, Olivia, Abigail, Amelia, Logan, and Daniel. \"Liam is a knave and Daniel is a knight,\" Mia claimed. \"Logan is a knave and Mia is a knave\" - Liam. Olivia said, \"Liam is not a knave.\" Abigail asserted: \"If Olivia is a knight then Abigail is a knight\". \"Liam is not a knave,\" Amelia mentioned. According to Logan, \"If Liam is a knave then Abigail is a knave\". Daniel commented, \"Abigail is a knave if and only if Logan is a knight\". So who is a knight and who is a knave?", "names": ["Mia", "Liam", "Olivia", "Abigail", "Amelia", "Logan", "Daniel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, false, false, true], "solution_text": "Mia is a knight, Liam is a knave, Olivia is a knave, Abigail is a knight, Amelia is a knave, Logan is a knave, and Daniel is a knight.", "solution_text_format": "(1) Mia is a knight\n(2) Liam is a knave\n(3) Olivia is a knave\n(4) Abigail is a knight\n(5) Amelia is a knave\n(6) Logan is a knave\n(7) Daniel is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Mia is a knight. No contradiction is found in their claim that Liam is a knave and Daniel is a knight.", "Liam cannot be a knight, because this would contradict the claim of Mia that Liam is a knave and Daniel is a knight.", "Assume Liam is a knave. No contradiction is found in their false claim that Logan is a knave and Mia is a knave.", "Assume Logan is a knight. No contradiction is found in their claim that If Liam is a knave then Abigail is a knave.", "Abigail cannot be a knight, because this would contradict the claim of Logan that If Liam is a knave then Abigail is a knave.", "Assume Abigail is a knave. No contradiction is found in their false claim that If Olivia is a knight then Abigail is a knight.", "Olivia cannot be a knight, because this would contradict the claim of their own that Liam is not a knave.", "Olivia cannot be a knave, because this would contradict the false claim of Abigail that If Olivia is a knight then Abigail is a knight.", "We have exhausted all possibilities for Olivia and Abigail, so let us go back and reconsider Logan.", "Assume Logan is a knave. No contradiction is found in their false claim that If Liam is a knave then Abigail is a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that If Olivia is a knight then Abigail is a knight.", "Olivia cannot be a knight, because this would contradict the claim of their own that Liam is not a knave.", "Assume Olivia is a knave. No contradiction is found in their false claim that Liam is not a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that Abigail is a knave if and only if Logan is a knight.", "Amelia cannot be a knight, because this would contradict the claim of their own that Liam is not a knave.", "Assume Amelia is a knave. No contradiction is found in their false claim that Liam is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('telling-truth', 6)), ('and', ('lying', 5), ('lying', 0)), ('not', ('lying', 1)), ('->', ('telling-truth', 2), ('telling-truth', 3)), ('not', ('lying', 1)), ('->', ('lying', 1), ('lying', 3)), ('<=>', ('lying', 3), ('telling-truth', 5)))", "index": 221}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Lily, James, Ella, Isabella, Charlotte, Grace, and Noah. \"If Isabella is a knave then Charlotte is a knave,\" Lily claimed. James expressed that Noah is a knight. \"James is not a knight,\" Ella declared. \"If Isabella is a knight then Charlotte is a knight\" - Isabella. Charlotte told you that Charlotte is a knight. As Grace put it, \"If Noah is a knight then Charlotte is a knight\". \"James is a knave and Isabella is a knave\" - Noah. So who is a knight and who is a knave?", "names": ["Lily", "James", "Ella", "Isabella", "Charlotte", "Grace", "Noah"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, true, true, false], "solution_text": "Lily is a knight, James is a knave, Ella is a knight, Isabella is a knight, Charlotte is a knight, Grace is a knight, and Noah is a knave.", "solution_text_format": "(1) Lily is a knight\n(2) James is a knave\n(3) Ella is a knight\n(4) Isabella is a knight\n(5) Charlotte is a knight\n(6) Grace is a knight\n(7) Noah is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Lily is a knight. No contradiction is found in their claim that If Isabella is a knave then Charlotte is a knave.", "Assume Isabella is a knight. No contradiction is found in their claim that If Isabella is a knight then Charlotte is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that Charlotte is a knight.", "Assume James is a knight. No contradiction is found in their claim that Noah is a knight.", "Noah cannot be a knight, because this would contradict the claim of their own that James is a knave and Isabella is a knave.", "Noah cannot be a knave, because this would contradict the claim of James that Noah is a knight.", "We have exhausted all possibilities for Noah, so let us go back and reconsider James.", "Assume James is a knave. No contradiction is found in their false claim that Noah is a knight.", "Noah cannot be a knight, because this would contradict the false claim of James that Noah is a knight.", "Assume Noah is a knave. No contradiction is found in their false claim that James is a knave and Isabella is a knave.", "Assume Ella is a knight. No contradiction is found in their claim that James is not a knight.", "Assume Grace is a knight. No contradiction is found in their claim that If Noah is a knight then Charlotte is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 3), ('lying', 4)), ('telling-truth', 6), ('not', ('telling-truth', 1)), ('->', ('telling-truth', 3), ('telling-truth', 4)), ('telling-truth', 4), ('->', ('telling-truth', 6), ('telling-truth', 4)), ('and', ('lying', 1), ('lying', 3)))", "index": 222}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: James, William, Jacob, Liam, Amelia, Lucas, and Daniel. James expressed that Amelia is a knave. \"Amelia is a knight\" - William. In a statement by Jacob: \"If Daniel is a knave then Amelia is a knave\". Liam expressed that Amelia is a knight. Amelia stated, \"James is a knight and Daniel is a knave\". Lucas asserted: \"James is a knight if and only if William is a knight\". Daniel said, \"Amelia is a knight if and only if Jacob is a knave.\" So who is a knight and who is a knave?", "names": ["James", "William", "Jacob", "Liam", "Amelia", "Lucas", "Daniel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false, false, false, true], "solution_text": "James is a knight, William is a knave, Jacob is a knight, Liam is a knave, Amelia is a knave, Lucas is a knave, and Daniel is a knight.", "solution_text_format": "(1) James is a knight\n(2) William is a knave\n(3) Jacob is a knight\n(4) Liam is a knave\n(5) Amelia is a knave\n(6) Lucas is a knave\n(7) Daniel is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume James is a knight. No contradiction is found in their claim that Amelia is a knave.", "Amelia cannot be a knight, because this would contradict the claim of James that Amelia is a knave.", "Assume Amelia is a knave. No contradiction is found in their false claim that James is a knight and Daniel is a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that Amelia is a knight if and only if Jacob is a knave.", "Assume Jacob is a knight. No contradiction is found in their claim that If Daniel is a knave then Amelia is a knave.", "William cannot be a knight, because this would contradict the claim of their own that Amelia is a knight.", "Assume William is a knave. No contradiction is found in their false claim that Amelia is a knight.", "Liam cannot be a knight, because this would contradict the claim of their own that Amelia is a knight.", "Assume Liam is a knave. No contradiction is found in their false claim that Amelia is a knight.", "Lucas cannot be a knight, because this would contradict the claim of their own that James is a knight if and only if William is a knight.", "Assume Lucas is a knave. No contradiction is found in their false claim that James is a knight if and only if William is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 4), ('telling-truth', 4), ('->', ('lying', 6), ('lying', 4)), ('telling-truth', 4), ('and', ('telling-truth', 0), ('lying', 6)), ('<=>', ('telling-truth', 0), ('telling-truth', 1)), ('<=>', ('telling-truth', 4), ('lying', 2)))", "index": 223}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Lily, Aria, Noah, Sofia, Ella, David, and Charlotte. Lily said that If David is a knave then David is a knight. Aria told you that David is a knight if and only if Lily is a knight. Noah said that Lily is a knight if and only if Charlotte is a knight. In Sofia's words: \"David is a knave if and only if David is a knight\". In Ella's words: \"Aria is a knave and Aria is a knight\". David stated, \"Noah is not a knave\". Charlotte said that If David is a knight then Aria is a knave. So who is a knight and who is a knave?", "names": ["Lily", "Aria", "Noah", "Sofia", "Ella", "David", "Charlotte"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false, false, false, true], "solution_text": "Lily is a knave, Aria is a knight, Noah is a knave, Sofia is a knave, Ella is a knave, David is a knave, and Charlotte is a knight.", "solution_text_format": "(1) Lily is a knave\n(2) Aria is a knight\n(3) Noah is a knave\n(4) Sofia is a knave\n(5) Ella is a knave\n(6) David is a knave\n(7) Charlotte is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Lily is a knight. No contradiction is found in their claim that If David is a knave then David is a knight.", "Assume David is a knight. No contradiction is found in their claim that Noah is not a knave.", "Assume Noah is a knight. No contradiction is found in their claim that Lily is a knight if and only if Charlotte is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that If David is a knight then Aria is a knave.", "Aria cannot be a knight, because this would contradict the claim of Charlotte that If David is a knight then Aria is a knave.", "Aria cannot be a knave, because this would contradict the false claim of their own that David is a knight if and only if Lily is a knight.", "We have exhausted all possibilities for Aria, so let us go back and reconsider Charlotte.", "Charlotte cannot be a knave, because this would contradict the claim of Noah that Lily is a knight if and only if Charlotte is a knight.", "We have exhausted all possibilities for Charlotte, so let us go back and reconsider Noah.", "Noah cannot be a knave, because this would contradict the claim of David that Noah is not a knave.", "We have exhausted all possibilities for Noah, so let us go back and reconsider David.", "David cannot be a knave, because this would contradict the claim of Lily that If David is a knave then David is a knight.", "We have exhausted all possibilities for David, so let us go back and reconsider Lily.", "Assume Lily is a knave. No contradiction is found in their false claim that If David is a knave then David is a knight.", "David cannot be a knight, because this would contradict the false claim of Lily that If David is a knave then David is a knight.", "Assume David is a knave. No contradiction is found in their false claim that Noah is not a knave.", "Noah cannot be a knight, because this would contradict the false claim of David that Noah is not a knave.", "Assume Noah is a knave. No contradiction is found in their false claim that Lily is a knight if and only if Charlotte is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that If David is a knight then Aria is a knave.", "Assume Aria is a knight. No contradiction is found in their claim that David is a knight if and only if Lily is a knight.", "Sofia cannot be a knight, because this would contradict the claim of their own that David is a knave if and only if David is a knight.", "Assume Sofia is a knave. No contradiction is found in their false claim that David is a knave if and only if David is a knight.", "Ella cannot be a knight, because this would contradict the claim of their own that Aria is a knave and Aria is a knight.", "Assume Ella is a knave. No contradiction is found in their false claim that Aria is a knave and Aria is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 5), ('telling-truth', 5)), ('<=>', ('telling-truth', 5), ('telling-truth', 0)), ('<=>', ('telling-truth', 0), ('telling-truth', 6)), ('<=>', ('lying', 5), ('telling-truth', 5)), ('and', ('lying', 1), ('telling-truth', 1)), ('not', ('lying', 2)), ('->', ('telling-truth', 5), ('lying', 1)))", "index": 224}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Charlotte, Joseph, Noah, Grace, Daniel, Emma, and Jack. \"Emma is not a knight,\" Charlotte mentioned. \"Joseph is a knight,\" Joseph declared. Noah said that Jack is not a knight. Grace said, \"Joseph is a knight or Charlotte is a knave.\" Daniel said that If Emma is a knave then Charlotte is a knave. \"If Noah is a knight then Daniel is a knave,\" Emma declared. Jack said, \"Noah is a knight if and only if Joseph is a knight.\" So who is a knight and who is a knave?", "names": ["Charlotte", "Joseph", "Noah", "Grace", "Daniel", "Emma", "Jack"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true, true, true, true], "solution_text": "Charlotte is a knave, Joseph is a knave, Noah is a knave, Grace is a knight, Daniel is a knight, Emma is a knight, and Jack is a knight.", "solution_text_format": "(1) Charlotte is a knave\n(2) Joseph is a knave\n(3) Noah is a knave\n(4) Grace is a knight\n(5) Daniel is a knight\n(6) Emma is a knight\n(7) Jack is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Charlotte is a knight. No contradiction is found in their claim that Emma is not a knight.", "Emma cannot be a knight, because this would contradict the claim of Charlotte that Emma is not a knight.", "Assume Emma is a knave. No contradiction is found in their false claim that If Noah is a knight then Daniel is a knave.", "Assume Noah is a knight. No contradiction is found in their claim that Jack is not a knight.", "Jack cannot be a knight, because this would contradict the claim of Noah that Jack is not a knight.", "Assume Jack is a knave. No contradiction is found in their false claim that Noah is a knight if and only if Joseph is a knight.", "Joseph cannot be a knight, because this would contradict the false claim of Jack that Noah is a knight if and only if Joseph is a knight.", "Assume Joseph is a knave. No contradiction is found in their false claim that Joseph is a knight.", "Daniel cannot be a knight, because this would contradict the claim of their own that If Emma is a knave then Charlotte is a knave.", "Daniel cannot be a knave, because this would contradict the false claim of Emma that If Noah is a knight then Daniel is a knave.", "We have exhausted all possibilities for Daniel, Joseph, and Jack, so let us go back and reconsider Noah.", "Noah cannot be a knave, because this would contradict the false claim of Emma that If Noah is a knight then Daniel is a knave.", "We have exhausted all possibilities for Noah and Emma, so let us go back and reconsider Charlotte.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Emma is not a knight.", "Assume Emma is a knight. No contradiction is found in their claim that If Noah is a knight then Daniel is a knave.", "Assume Noah is a knight. No contradiction is found in their claim that Jack is not a knight.", "Jack cannot be a knight, because this would contradict the claim of Noah that Jack is not a knight.", "Assume Jack is a knave. No contradiction is found in their false claim that Noah is a knight if and only if Joseph is a knight.", "Joseph cannot be a knight, because this would contradict the false claim of Jack that Noah is a knight if and only if Joseph is a knight.", "Assume Joseph is a knave. No contradiction is found in their false claim that Joseph is a knight.", "Daniel cannot be a knight, because this would contradict the claim of Emma that If Noah is a knight then Daniel is a knave.", "Daniel cannot be a knave, because this would contradict the false claim of their own that If Emma is a knave then Charlotte is a knave.", "We have exhausted all possibilities for Daniel, Joseph, and Jack, so let us go back and reconsider Noah.", "Assume Noah is a knave. No contradiction is found in their false claim that Jack is not a knight.", "Assume Jack is a knight. No contradiction is found in their claim that Noah is a knight if and only if Joseph is a knight.", "Joseph cannot be a knight, because this would contradict the claim of Jack that Noah is a knight if and only if Joseph is a knight.", "Assume Joseph is a knave. No contradiction is found in their false claim that Joseph is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that If Emma is a knave then Charlotte is a knave.", "Assume Grace is a knight. No contradiction is found in their claim that Joseph is a knight or Charlotte is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 5)), ('telling-truth', 1), ('not', ('telling-truth', 6)), ('or', ('telling-truth', 1), ('lying', 0)), ('->', ('lying', 5), ('lying', 0)), ('->', ('telling-truth', 2), ('lying', 4)), ('<=>', ('telling-truth', 2), ('telling-truth', 1)))", "index": 225}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Aiden, Grace, Aurora, Charlotte, Michael, Logan, and Chloe. \"If Aiden is a knight then Grace is a knave,\" Aiden claimed. \"Charlotte is a knight,\" Grace mentioned. As Aurora put it, \"Michael is a knight and Grace is a knight\". Charlotte stated, \"Aiden is a knight if and only if Michael is a knight\". Michael noted, \"Michael is a knight if and only if Grace is a knave\". In Logan's words: \"Aurora is a knave if and only if Grace is a knave\". Chloe remarked, \"If Aiden is a knave then Aiden is a knight\". So who is a knight and who is a knave?", "names": ["Aiden", "Grace", "Aurora", "Charlotte", "Michael", "Logan", "Chloe"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false, false, true, true], "solution_text": "Aiden is a knight, Grace is a knave, Aurora is a knave, Charlotte is a knave, Michael is a knave, Logan is a knight, and Chloe is a knight.", "solution_text_format": "(1) Aiden is a knight\n(2) Grace is a knave\n(3) Aurora is a knave\n(4) Charlotte is a knave\n(5) Michael is a knave\n(6) Logan is a knight\n(7) Chloe is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aiden is a knight. No contradiction is found in their claim that If Aiden is a knight then Grace is a knave.", "Grace cannot be a knight, because this would contradict the claim of Aiden that If Aiden is a knight then Grace is a knave.", "Assume Grace is a knave. No contradiction is found in their false claim that Charlotte is a knight.", "Charlotte cannot be a knight, because this would contradict the false claim of Grace that Charlotte is a knight.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Aiden is a knight if and only if Michael is a knight.", "Michael cannot be a knight, because this would contradict the false claim of Charlotte that Aiden is a knight if and only if Michael is a knight.", "Assume Michael is a knave. No contradiction is found in their false claim that Michael is a knight if and only if Grace is a knave.", "Aurora cannot be a knight, because this would contradict the claim of their own that Michael is a knight and Grace is a knight.", "Assume Aurora is a knave. No contradiction is found in their false claim that Michael is a knight and Grace is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that Aurora is a knave if and only if Grace is a knave.", "Assume Chloe is a knight. No contradiction is found in their claim that If Aiden is a knave then Aiden is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 0), ('lying', 1)), ('telling-truth', 3), ('and', ('telling-truth', 4), ('telling-truth', 1)), ('<=>', ('telling-truth', 0), ('telling-truth', 4)), ('<=>', ('telling-truth', 4), ('lying', 1)), ('<=>', ('lying', 2), ('lying', 1)), ('->', ('lying', 0), ('telling-truth', 0)))", "index": 226}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Joseph, James, Isabella, Ethan, Sofia, Jack, and Aurora. Joseph noted, \"Isabella is a knave\". \"Ethan is a knave if and only if Isabella is a knave,\" James declared. According to Isabella, \"Sofia is a knight and James is a knave\". \"James is a knight\" - Ethan. Sofia expressed that Jack is a knight or Jack is a knave. According to Jack, \"Ethan is a knight and James is a knave\". Aurora stated, \"Isabella is a knight or Sofia is a knight\". So who is a knight and who is a knave?", "names": ["Joseph", "James", "Isabella", "Ethan", "Sofia", "Jack", "Aurora"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false, true, false, true], "solution_text": "Joseph is a knave, James is a knave, Isabella is a knight, Ethan is a knave, Sofia is a knight, Jack is a knave, and Aurora is a knight.", "solution_text_format": "(1) Joseph is a knave\n(2) James is a knave\n(3) Isabella is a knight\n(4) Ethan is a knave\n(5) Sofia is a knight\n(6) Jack is a knave\n(7) Aurora is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Joseph is a knight. No contradiction is found in their claim that Isabella is a knave.", "Isabella cannot be a knight, because this would contradict the claim of Joseph that Isabella is a knave.", "Assume Isabella is a knave. No contradiction is found in their false claim that Sofia is a knight and James is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that Jack is a knight or Jack is a knave.", "Assume Jack is a knight. No contradiction is found in their claim that Ethan is a knight and James is a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that James is a knight.", "James cannot be a knight, because this would contradict the claim of their own that Ethan is a knave if and only if Isabella is a knave.", "James cannot be a knave, because this would contradict the false claim of Isabella that Sofia is a knight and James is a knave.", "We have exhausted all possibilities for James, so let us go back and reconsider Ethan.", "Ethan cannot be a knave, because this would contradict the claim of Jack that Ethan is a knight and James is a knave.", "We have exhausted all possibilities for Ethan, so let us go back and reconsider Jack.", "Assume Jack is a knave. No contradiction is found in their false claim that Ethan is a knight and James is a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that James is a knight.", "James cannot be a knight, because this would contradict the claim of their own that Ethan is a knave if and only if Isabella is a knave.", "James cannot be a knave, because this would contradict the false claim of Isabella that Sofia is a knight and James is a knave.", "We have exhausted all possibilities for James, so let us go back and reconsider Ethan.", "Assume Ethan is a knave. No contradiction is found in their false claim that James is a knight.", "James cannot be a knight, because this would contradict the false claim of Ethan that James is a knight.", "James cannot be a knave, because this would contradict the false claim of their own that Ethan is a knave if and only if Isabella is a knave.", "We have exhausted all possibilities for James, Ethan, and Jack, so let us go back and reconsider Sofia.", "Sofia cannot be a knave, because this would contradict the false claim of their own that Jack is a knight or Jack is a knave.", "We have exhausted all possibilities for Sofia and Isabella, so let us go back and reconsider Joseph.", "Assume Joseph is a knave. No contradiction is found in their false claim that Isabella is a knave.", "Assume Isabella is a knight. No contradiction is found in their claim that Sofia is a knight and James is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that Jack is a knight or Jack is a knave.", "Assume Jack is a knight. No contradiction is found in their claim that Ethan is a knight and James is a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that James is a knight.", "James cannot be a knight, because this would contradict the claim of Isabella that Sofia is a knight and James is a knave.", "James cannot be a knave, because this would contradict the false claim of their own that Ethan is a knave if and only if Isabella is a knave.", "We have exhausted all possibilities for James, so let us go back and reconsider Ethan.", "Ethan cannot be a knave, because this would contradict the claim of Jack that Ethan is a knight and James is a knave.", "We have exhausted all possibilities for Ethan, so let us go back and reconsider Jack.", "Assume Jack is a knave. No contradiction is found in their false claim that Ethan is a knight and James is a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that James is a knight.", "James cannot be a knight, because this would contradict the claim of Isabella that Sofia is a knight and James is a knave.", "James cannot be a knave, because this would contradict the false claim of their own that Ethan is a knave if and only if Isabella is a knave.", "We have exhausted all possibilities for James, so let us go back and reconsider Ethan.", "Assume Ethan is a knave. No contradiction is found in their false claim that James is a knight.", "James cannot be a knight, because this would contradict the claim of their own that Ethan is a knave if and only if Isabella is a knave.", "Assume James is a knave. No contradiction is found in their false claim that Ethan is a knave if and only if Isabella is a knave.", "Assume Aurora is a knight. No contradiction is found in their claim that Isabella is a knight or Sofia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 2), ('<=>', ('lying', 3), ('lying', 2)), ('and', ('telling-truth', 4), ('lying', 1)), ('telling-truth', 1), ('or', ('telling-truth', 5), ('lying', 5)), ('and', ('telling-truth', 3), ('lying', 1)), ('or', ('telling-truth', 2), ('telling-truth', 4)))", "index": 227}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: James, Ethan, Charlotte, Henry, Joseph, Jacob, and Aria. James was heard saying, \"Jacob is a knave and Charlotte is a knave\". As Ethan put it, \"If Jacob is a knight then Henry is a knave\". Charlotte stated, \"Jacob is a knave if and only if Aria is a knave\". Henry stated, \"James is a knave if and only if Henry is a knight\". In a statement by Joseph: \"If Aria is a knight then Ethan is a knave\". Jacob commented, \"Jacob is a knight and Ethan is a knight\". Aria said that Ethan is a knight. So who is a knight and who is a knave?", "names": ["James", "Ethan", "Charlotte", "Henry", "Joseph", "Jacob", "Aria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false, false, true, true], "solution_text": "James is a knave, Ethan is a knight, Charlotte is a knight, Henry is a knave, Joseph is a knave, Jacob is a knight, and Aria is a knight.", "solution_text_format": "(1) James is a knave\n(2) Ethan is a knight\n(3) Charlotte is a knight\n(4) Henry is a knave\n(5) Joseph is a knave\n(6) Jacob is a knight\n(7) Aria is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume James is a knight. No contradiction is found in their claim that Jacob is a knave and Charlotte is a knave.", "Jacob cannot be a knight, because this would contradict the claim of James that Jacob is a knave and Charlotte is a knave.", "Assume Jacob is a knave. No contradiction is found in their false claim that Jacob is a knight and Ethan is a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that If Jacob is a knight then Henry is a knave.", "Henry cannot be a knight, because this would contradict the claim of their own that James is a knave if and only if Henry is a knight.", "Henry cannot be a knave, because this would contradict the false claim of their own that James is a knave if and only if Henry is a knight.", "We have exhausted all possibilities for Henry, so let us go back and reconsider Ethan.", "Ethan cannot be a knave, because this would contradict the false claim of their own that If Jacob is a knight then Henry is a knave.", "We have exhausted all possibilities for Ethan and Jacob, so let us go back and reconsider James.", "Assume James is a knave. No contradiction is found in their false claim that Jacob is a knave and Charlotte is a knave.", "Assume Jacob is a knight. No contradiction is found in their claim that Jacob is a knight and Ethan is a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that If Jacob is a knight then Henry is a knave.", "Henry cannot be a knight, because this would contradict the claim of Ethan that If Jacob is a knight then Henry is a knave.", "Assume Henry is a knave. No contradiction is found in their false claim that James is a knave if and only if Henry is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that Jacob is a knave if and only if Aria is a knave.", "Assume Aria is a knight. No contradiction is found in their claim that Ethan is a knight.", "Joseph cannot be a knight, because this would contradict the claim of their own that If Aria is a knight then Ethan is a knave.", "Assume Joseph is a knave. No contradiction is found in their false claim that If Aria is a knight then Ethan is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 5), ('lying', 2)), ('->', ('telling-truth', 5), ('lying', 3)), ('<=>', ('lying', 5), ('lying', 6)), ('<=>', ('lying', 0), ('telling-truth', 3)), ('->', ('telling-truth', 6), ('lying', 1)), ('and', ('telling-truth', 5), ('telling-truth', 1)), ('telling-truth', 1))", "index": 228}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Victoria, James, Aria, Luke, Riley, Joseph, and Isabella. Victoria said that Aria is not a knight. In a statement by James: \"Luke is not a knave\". \"Joseph is a knight if and only if Joseph is a knave,\" Aria declared. \"If Aria is a knight then Riley is a knight,\" Luke declared. \"If Victoria is a knave then Luke is a knave,\" Riley declared. Joseph expressed that Aria is not a knave. According to Isabella, \"Luke is a knave if and only if Victoria is a knave\". So who is a knight and who is a knave?", "names": ["Victoria", "James", "Aria", "Luke", "Riley", "Joseph", "Isabella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true, true, false, true], "solution_text": "Victoria is a knight, James is a knight, Aria is a knave, Luke is a knight, Riley is a knight, Joseph is a knave, and Isabella is a knight.", "solution_text_format": "(1) Victoria is a knight\n(2) James is a knight\n(3) Aria is a knave\n(4) Luke is a knight\n(5) Riley is a knight\n(6) Joseph is a knave\n(7) Isabella is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Victoria is a knight. No contradiction is found in their claim that Aria is not a knight.", "Aria cannot be a knight, because this would contradict the claim of Victoria that Aria is not a knight.", "Assume Aria is a knave. No contradiction is found in their false claim that Joseph is a knight if and only if Joseph is a knave.", "Joseph cannot be a knight, because this would contradict the claim of their own that Aria is not a knave.", "Assume Joseph is a knave. No contradiction is found in their false claim that Aria is not a knave.", "Assume James is a knight. No contradiction is found in their claim that Luke is not a knave.", "Assume Luke is a knight. No contradiction is found in their claim that If Aria is a knight then Riley is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that If Victoria is a knave then Luke is a knave.", "Assume Isabella is a knight. No contradiction is found in their claim that Luke is a knave if and only if Victoria is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 2)), ('not', ('lying', 3)), ('<=>', ('telling-truth', 5), ('lying', 5)), ('->', ('telling-truth', 2), ('telling-truth', 4)), ('->', ('lying', 0), ('lying', 3)), ('not', ('lying', 2)), ('<=>', ('lying', 3), ('lying', 0)))", "index": 229}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Luke, Benjamin, Henry, Jackson, Elizabeth, Mason, and Amelia. Luke said that Benjamin is a knight. As Benjamin put it, \"Amelia is a knave and Mason is a knave\". Henry asserted: \"Benjamin is not a knave\". \"Mason is a knave and Luke is a knave,\" Jackson mentioned. Elizabeth asserted: \"Benjamin is a knight\". Mason noted, \"Jackson is a knave if and only if Jackson is a knight\". Amelia told you that Mason is a knave and Mason is a knight. So who is a knight and who is a knave?", "names": ["Luke", "Benjamin", "Henry", "Jackson", "Elizabeth", "Mason", "Amelia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false, true, false, false], "solution_text": "Luke is a knight, Benjamin is a knight, Henry is a knight, Jackson is a knave, Elizabeth is a knight, Mason is a knave, and Amelia is a knave.", "solution_text_format": "(1) Luke is a knight\n(2) Benjamin is a knight\n(3) Henry is a knight\n(4) Jackson is a knave\n(5) Elizabeth is a knight\n(6) Mason is a knave\n(7) Amelia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Luke is a knight. No contradiction is found in their claim that Benjamin is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that Amelia is a knave and Mason is a knave.", "Amelia cannot be a knight, because this would contradict the claim of Benjamin that Amelia is a knave and Mason is a knave.", "Assume Amelia is a knave. No contradiction is found in their false claim that Mason is a knave and Mason is a knight.", "Mason cannot be a knight, because this would contradict the claim of Benjamin that Amelia is a knave and Mason is a knave.", "Assume Mason is a knave. No contradiction is found in their false claim that Jackson is a knave if and only if Jackson is a knight.", "Jackson cannot be a knight, because this would contradict the claim of their own that Mason is a knave and Luke is a knave.", "Assume Jackson is a knave. No contradiction is found in their false claim that Mason is a knave and Luke is a knave.", "Assume Henry is a knight. No contradiction is found in their claim that Benjamin is not a knave.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Benjamin is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 1), ('and', ('lying', 6), ('lying', 5)), ('not', ('lying', 1)), ('and', ('lying', 5), ('lying', 0)), ('telling-truth', 1), ('<=>', ('lying', 3), ('telling-truth', 3)), ('and', ('lying', 5), ('telling-truth', 5)))", "index": 230}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Mia, Jacob, Oliver, Amelia, Henry, Owen, and Lucas. Mia noted, \"Mia is a knight and Lucas is a knave\". \"Oliver is not a knave\" - Jacob. \"If Lucas is a knave then Amelia is a knight\" - Oliver. \"Lucas is a knave or Henry is a knave,\" Amelia claimed. In a statement by Henry: \"Owen is a knave\". In a statement by Owen: \"If Oliver is a knave then Owen is a knight\". Lucas stated, \"If Oliver is a knave then Henry is a knight\". So who is a knight and who is a knave?", "names": ["Mia", "Jacob", "Oliver", "Amelia", "Henry", "Owen", "Lucas"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, false, true, true], "solution_text": "Mia is a knave, Jacob is a knight, Oliver is a knight, Amelia is a knight, Henry is a knave, Owen is a knight, and Lucas is a knight.", "solution_text_format": "(1) Mia is a knave\n(2) Jacob is a knight\n(3) Oliver is a knight\n(4) Amelia is a knight\n(5) Henry is a knave\n(6) Owen is a knight\n(7) Lucas is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Mia is a knight. No contradiction is found in their claim that Mia is a knight and Lucas is a knave.", "Lucas cannot be a knight, because this would contradict the claim of Mia that Mia is a knight and Lucas is a knave.", "Assume Lucas is a knave. No contradiction is found in their false claim that If Oliver is a knave then Henry is a knight.", "Oliver cannot be a knight, because this would contradict the false claim of Lucas that If Oliver is a knave then Henry is a knight.", "Assume Oliver is a knave. No contradiction is found in their false claim that If Lucas is a knave then Amelia is a knight.", "Amelia cannot be a knight, because this would contradict the false claim of Oliver that If Lucas is a knave then Amelia is a knight.", "Amelia cannot be a knave, because this would contradict the false claim of their own that Lucas is a knave or Henry is a knave.", "We have exhausted all possibilities for Amelia, Oliver, and Lucas, so let us go back and reconsider Mia.", "Assume Mia is a knave. No contradiction is found in their false claim that Mia is a knight and Lucas is a knave.", "Assume Lucas is a knight. No contradiction is found in their claim that If Oliver is a knave then Henry is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that If Lucas is a knave then Amelia is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that Lucas is a knave or Henry is a knave.", "Henry cannot be a knight, because this would contradict the claim of Amelia that Lucas is a knave or Henry is a knave.", "Assume Henry is a knave. No contradiction is found in their false claim that Owen is a knave.", "Assume Owen is a knight. No contradiction is found in their claim that If Oliver is a knave then Owen is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that Oliver is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 0), ('lying', 6)), ('not', ('lying', 2)), ('->', ('lying', 6), ('telling-truth', 3)), ('or', ('lying', 6), ('lying', 4)), ('lying', 5), ('->', ('lying', 2), ('telling-truth', 5)), ('->', ('lying', 2), ('telling-truth', 4)))", "index": 231}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Luke, Emily, Mason, Benjamin, Noah, Lily, and Grace. Luke noted, \"Lily is not a knight\". \"Noah is a knight,\" Emily claimed. As Mason put it, \"Benjamin is a knave if and only if Luke is a knave\". In Benjamin's words: \"Noah is a knave\". In a statement by Noah: \"Emily is a knight and Lily is a knave\". Lily stated, \"If Benjamin is a knight then Emily is a knight\". Grace remarked, \"If Benjamin is a knave then Benjamin is a knight\". So who is a knight and who is a knave?", "names": ["Luke", "Emily", "Mason", "Benjamin", "Noah", "Lily", "Grace"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, false, false, true], "solution_text": "Luke is a knight, Emily is a knave, Mason is a knight, Benjamin is a knight, Noah is a knave, Lily is a knave, and Grace is a knight.", "solution_text_format": "(1) Luke is a knight\n(2) Emily is a knave\n(3) Mason is a knight\n(4) Benjamin is a knight\n(5) Noah is a knave\n(6) Lily is a knave\n(7) Grace is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Luke is a knight. No contradiction is found in their claim that Lily is not a knight.", "Lily cannot be a knight, because this would contradict the claim of Luke that Lily is not a knight.", "Assume Lily is a knave. No contradiction is found in their false claim that If Benjamin is a knight then Emily is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that Noah is a knave.", "Noah cannot be a knight, because this would contradict the claim of Benjamin that Noah is a knave.", "Assume Noah is a knave. No contradiction is found in their false claim that Emily is a knight and Lily is a knave.", "Emily cannot be a knight, because this would contradict the claim of their own that Noah is a knight.", "Assume Emily is a knave. No contradiction is found in their false claim that Noah is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that Benjamin is a knave if and only if Luke is a knave.", "Assume Grace is a knight. No contradiction is found in their claim that If Benjamin is a knave then Benjamin is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 5)), ('telling-truth', 4), ('<=>', ('lying', 3), ('lying', 0)), ('lying', 4), ('and', ('telling-truth', 1), ('lying', 5)), ('->', ('telling-truth', 3), ('telling-truth', 1)), ('->', ('lying', 3), ('telling-truth', 3)))", "index": 232}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Joseph, Sofia, James, Sebastian, Emma, Amelia, and Jack. As Joseph put it, \"Jack is a knight and Jack is a knave\". \"Emma is a knight\" - Sofia. James said, \"If Joseph is a knight then Amelia is a knight.\" Sebastian said, \"Joseph is a knight.\" Emma asserted: \"James is not a knave\". As Amelia put it, \"Jack is a knight if and only if Sofia is a knave\". Jack told you that Emma is not a knave. So who is a knight and who is a knave?", "names": ["Joseph", "Sofia", "James", "Sebastian", "Emma", "Amelia", "Jack"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false, true, false, true], "solution_text": "Joseph is a knave, Sofia is a knight, James is a knight, Sebastian is a knave, Emma is a knight, Amelia is a knave, and Jack is a knight.", "solution_text_format": "(1) Joseph is a knave\n(2) Sofia is a knight\n(3) James is a knight\n(4) Sebastian is a knave\n(5) Emma is a knight\n(6) Amelia is a knave\n(7) Jack is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Joseph cannot be a knight, because this would contradict the claim of their own that Jack is a knight and Jack is a knave.", "Assume Joseph is a knave. No contradiction is found in their false claim that Jack is a knight and Jack is a knave.", "Assume Jack is a knight. No contradiction is found in their claim that Emma is not a knave.", "Assume Emma is a knight. No contradiction is found in their claim that James is not a knave.", "Assume James is a knight. No contradiction is found in their claim that If Joseph is a knight then Amelia is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that Jack is a knight if and only if Sofia is a knave.", "Sofia cannot be a knight, because this would contradict the claim of Amelia that Jack is a knight if and only if Sofia is a knave.", "Sofia cannot be a knave, because this would contradict the false claim of their own that Emma is a knight.", "We have exhausted all possibilities for Sofia, so let us go back and reconsider Amelia.", "Assume Amelia is a knave. No contradiction is found in their false claim that Jack is a knight if and only if Sofia is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that Emma is a knight.", "Sebastian cannot be a knight, because this would contradict the claim of their own that Joseph is a knight.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Joseph is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 6), ('lying', 6)), ('telling-truth', 4), ('->', ('telling-truth', 0), ('telling-truth', 5)), ('telling-truth', 0), ('not', ('lying', 2)), ('<=>', ('telling-truth', 6), ('lying', 1)), ('not', ('lying', 4)))", "index": 233}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Sebastian, Daniel, Jackson, Lucas, Abigail, Alexander, and Scarlett. In Sebastian's words: \"Jackson is a knight or Alexander is a knight\". According to Daniel, \"Scarlett is a knave if and only if Jackson is a knight\". In a statement by Jackson: \"Daniel is a knight if and only if Daniel is a knave\". Lucas expressed that If Alexander is a knave then Sebastian is a knight. \"Scarlett is a knight\" - Abigail. In a statement by Alexander: \"Abigail is a knave\". Scarlett said, \"Jackson is a knave.\" So who is a knight and who is a knave?", "names": ["Sebastian", "Daniel", "Jackson", "Lucas", "Abigail", "Alexander", "Scarlett"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false, true, false, true], "solution_text": "Sebastian is a knave, Daniel is a knight, Jackson is a knave, Lucas is a knave, Abigail is a knight, Alexander is a knave, and Scarlett is a knight.", "solution_text_format": "(1) Sebastian is a knave\n(2) Daniel is a knight\n(3) Jackson is a knave\n(4) Lucas is a knave\n(5) Abigail is a knight\n(6) Alexander is a knave\n(7) Scarlett is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sebastian is a knight. No contradiction is found in their claim that Jackson is a knight or Alexander is a knight.", "Jackson cannot be a knight, because this would contradict the claim of their own that Daniel is a knight if and only if Daniel is a knave.", "Assume Jackson is a knave. No contradiction is found in their false claim that Daniel is a knight if and only if Daniel is a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that Scarlett is a knave if and only if Jackson is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that Jackson is a knave.", "Assume Alexander is a knight. No contradiction is found in their claim that Abigail is a knave.", "Abigail cannot be a knight, because this would contradict the claim of Alexander that Abigail is a knave.", "Abigail cannot be a knave, because this would contradict the false claim of their own that Scarlett is a knight.", "We have exhausted all possibilities for Abigail, so let us go back and reconsider Alexander.", "Alexander cannot be a knave, because this would contradict the claim of Sebastian that Jackson is a knight or Alexander is a knight.", "We have exhausted all possibilities for Alexander, so let us go back and reconsider Scarlett.", "Scarlett cannot be a knave, because this would contradict the claim of Daniel that Scarlett is a knave if and only if Jackson is a knight.", "We have exhausted all possibilities for Scarlett, so let us go back and reconsider Daniel.", "Assume Daniel is a knave. No contradiction is found in their false claim that Scarlett is a knave if and only if Jackson is a knight.", "Scarlett cannot be a knight, because this would contradict the false claim of Daniel that Scarlett is a knave if and only if Jackson is a knight.", "Scarlett cannot be a knave, because this would contradict the false claim of their own that Jackson is a knave.", "We have exhausted all possibilities for Scarlett, Daniel, and Jackson, so let us go back and reconsider Sebastian.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Jackson is a knight or Alexander is a knight.", "Jackson cannot be a knight, because this would contradict the false claim of Sebastian that Jackson is a knight or Alexander is a knight.", "Assume Jackson is a knave. No contradiction is found in their false claim that Daniel is a knight if and only if Daniel is a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that Scarlett is a knave if and only if Jackson is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that Jackson is a knave.", "Alexander cannot be a knight, because this would contradict the false claim of Sebastian that Jackson is a knight or Alexander is a knight.", "Assume Alexander is a knave. No contradiction is found in their false claim that Abigail is a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that Scarlett is a knight.", "Lucas cannot be a knight, because this would contradict the claim of their own that If Alexander is a knave then Sebastian is a knight.", "Assume Lucas is a knave. No contradiction is found in their false claim that If Alexander is a knave then Sebastian is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 2), ('telling-truth', 5)), ('<=>', ('lying', 6), ('telling-truth', 2)), ('<=>', ('telling-truth', 1), ('lying', 1)), ('->', ('lying', 5), ('telling-truth', 0)), ('telling-truth', 6), ('lying', 4), ('lying', 2))", "index": 234}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Ethan, Aurora, Sophia, Noah, Ava, William, and Aiden. Ethan was heard saying, \"Noah is a knight\". Aurora asserted: \"Sophia is a knave\". \"Ethan is a knight,\" Sophia declared. Noah said, \"Aiden is a knave and Noah is a knight.\" In a statement by Ava: \"William is a knight\". William told you that Noah is a knight or Ethan is a knight. \"Aurora is a knave or Sophia is a knave,\" Aiden claimed. So who is a knight and who is a knave?", "names": ["Ethan", "Aurora", "Sophia", "Noah", "Ava", "William", "Aiden"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false, false, false, true], "solution_text": "Ethan is a knave, Aurora is a knight, Sophia is a knave, Noah is a knave, Ava is a knave, William is a knave, and Aiden is a knight.", "solution_text_format": "(1) Ethan is a knave\n(2) Aurora is a knight\n(3) Sophia is a knave\n(4) Noah is a knave\n(5) Ava is a knave\n(6) William is a knave\n(7) Aiden is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ethan is a knight. No contradiction is found in their claim that Noah is a knight.", "Assume Noah is a knight. No contradiction is found in their claim that Aiden is a knave and Noah is a knight.", "Aiden cannot be a knight, because this would contradict the claim of Noah that Aiden is a knave and Noah is a knight.", "Assume Aiden is a knave. No contradiction is found in their false claim that Aurora is a knave or Sophia is a knave.", "Assume Aurora is a knight. No contradiction is found in their claim that Sophia is a knave.", "Sophia cannot be a knight, because this would contradict the claim of Aurora that Sophia is a knave.", "Sophia cannot be a knave, because this would contradict the false claim of their own that Ethan is a knight.", "We have exhausted all possibilities for Sophia, so let us go back and reconsider Aurora.", "Aurora cannot be a knave, because this would contradict the false claim of Aiden that Aurora is a knave or Sophia is a knave.", "We have exhausted all possibilities for Aurora and Aiden, so let us go back and reconsider Noah.", "Noah cannot be a knave, because this would contradict the claim of Ethan that Noah is a knight.", "We have exhausted all possibilities for Noah, so let us go back and reconsider Ethan.", "Assume Ethan is a knave. No contradiction is found in their false claim that Noah is a knight.", "Noah cannot be a knight, because this would contradict the false claim of Ethan that Noah is a knight.", "Assume Noah is a knave. No contradiction is found in their false claim that Aiden is a knave and Noah is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that Aurora is a knave or Sophia is a knave.", "Assume Aurora is a knight. No contradiction is found in their claim that Sophia is a knave.", "Sophia cannot be a knight, because this would contradict the claim of Aurora that Sophia is a knave.", "Assume Sophia is a knave. No contradiction is found in their false claim that Ethan is a knight.", "Assume Ava is a knight. No contradiction is found in their claim that William is a knight.", "William cannot be a knight, because this would contradict the claim of their own that Noah is a knight or Ethan is a knight.", "William cannot be a knave, because this would contradict the claim of Ava that William is a knight.", "We have exhausted all possibilities for William, so let us go back and reconsider Ava.", "Assume Ava is a knave. No contradiction is found in their false claim that William is a knight.", "William cannot be a knight, because this would contradict the false claim of Ava that William is a knight.", "Assume William is a knave. No contradiction is found in their false claim that Noah is a knight or Ethan is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 3), ('lying', 2), ('telling-truth', 0), ('and', ('lying', 6), ('telling-truth', 3)), ('telling-truth', 5), ('or', ('telling-truth', 3), ('telling-truth', 0)), ('or', ('lying', 1), ('lying', 2)))", "index": 235}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Olivia, Matthew, Oliver, Sebastian, Penelope, Ava, and Charlotte. Olivia was heard saying, \"Penelope is not a knight\". Matthew told you that Matthew is a knight or Oliver is a knave. \"Matthew is a knight or Charlotte is a knave,\" Oliver claimed. Sebastian expressed that Penelope is a knight and Oliver is a knave. Penelope said that Oliver is a knave. In a statement by Ava: \"If Charlotte is a knight then Oliver is a knave\". Charlotte stated, \"If Penelope is a knight then Charlotte is a knight\". So who is a knight and who is a knave?", "names": ["Olivia", "Matthew", "Oliver", "Sebastian", "Penelope", "Ava", "Charlotte"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false, false, false, true], "solution_text": "Olivia is a knight, Matthew is a knight, Oliver is a knight, Sebastian is a knave, Penelope is a knave, Ava is a knave, and Charlotte is a knight.", "solution_text_format": "(1) Olivia is a knight\n(2) Matthew is a knight\n(3) Oliver is a knight\n(4) Sebastian is a knave\n(5) Penelope is a knave\n(6) Ava is a knave\n(7) Charlotte is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Olivia is a knight. No contradiction is found in their claim that Penelope is not a knight.", "Penelope cannot be a knight, because this would contradict the claim of Olivia that Penelope is not a knight.", "Assume Penelope is a knave. No contradiction is found in their false claim that Oliver is a knave.", "Assume Oliver is a knight. No contradiction is found in their claim that Matthew is a knight or Charlotte is a knave.", "Assume Matthew is a knight. No contradiction is found in their claim that Matthew is a knight or Oliver is a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that If Penelope is a knight then Charlotte is a knight.", "Sebastian cannot be a knight, because this would contradict the claim of their own that Penelope is a knight and Oliver is a knave.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Penelope is a knight and Oliver is a knave.", "Ava cannot be a knight, because this would contradict the claim of their own that If Charlotte is a knight then Oliver is a knave.", "Assume Ava is a knave. No contradiction is found in their false claim that If Charlotte is a knight then Oliver is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 4)), ('or', ('telling-truth', 1), ('lying', 2)), ('or', ('telling-truth', 1), ('lying', 6)), ('and', ('telling-truth', 4), ('lying', 2)), ('lying', 2), ('->', ('telling-truth', 6), ('lying', 2)), ('->', ('telling-truth', 4), ('telling-truth', 6)))", "index": 236}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Luke, Zoey, Sophia, Joseph, Grace, Olivia, and Sebastian. Luke noted, \"Grace is a knave\". \"Sebastian is a knight if and only if Sophia is a knight\" - Zoey. \"Olivia is not a knave,\" Sophia mentioned. Joseph noted, \"Olivia is a knave\". \"Grace is a knight if and only if Joseph is a knight,\" Grace claimed. According to Olivia, \"Zoey is not a knight\". Sebastian stated, \"Grace is a knave or Sebastian is a knight\". So who is a knight and who is a knave?", "names": ["Luke", "Zoey", "Sophia", "Joseph", "Grace", "Olivia", "Sebastian"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true, true, false, false], "solution_text": "Luke is a knave, Zoey is a knight, Sophia is a knave, Joseph is a knight, Grace is a knight, Olivia is a knave, and Sebastian is a knave.", "solution_text_format": "(1) Luke is a knave\n(2) Zoey is a knight\n(3) Sophia is a knave\n(4) Joseph is a knight\n(5) Grace is a knight\n(6) Olivia is a knave\n(7) Sebastian is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Luke is a knight. No contradiction is found in their claim that Grace is a knave.", "Grace cannot be a knight, because this would contradict the claim of Luke that Grace is a knave.", "Assume Grace is a knave. No contradiction is found in their false claim that Grace is a knight if and only if Joseph is a knight.", "Assume Joseph is a knight. No contradiction is found in their claim that Olivia is a knave.", "Olivia cannot be a knight, because this would contradict the claim of Joseph that Olivia is a knave.", "Assume Olivia is a knave. No contradiction is found in their false claim that Zoey is not a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that Sebastian is a knight if and only if Sophia is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Grace is a knave or Sebastian is a knight.", "Sophia cannot be a knight, because this would contradict the claim of their own that Olivia is not a knave.", "Sophia cannot be a knave, because this would contradict the claim of Zoey that Sebastian is a knight if and only if Sophia is a knight.", "We have exhausted all possibilities for Sophia, so let us go back and reconsider Sebastian.", "Sebastian cannot be a knave, because this would contradict the false claim of their own that Grace is a knave or Sebastian is a knight.", "We have exhausted all possibilities for Sebastian, so let us go back and reconsider Zoey.", "Zoey cannot be a knave, because this would contradict the false claim of Olivia that Zoey is not a knight.", "We have exhausted all possibilities for Zoey and Olivia, so let us go back and reconsider Joseph.", "Joseph cannot be a knave, because this would contradict the false claim of Grace that Grace is a knight if and only if Joseph is a knight.", "We have exhausted all possibilities for Joseph and Grace, so let us go back and reconsider Luke.", "Assume Luke is a knave. No contradiction is found in their false claim that Grace is a knave.", "Assume Grace is a knight. No contradiction is found in their claim that Grace is a knight if and only if Joseph is a knight.", "Assume Joseph is a knight. No contradiction is found in their claim that Olivia is a knave.", "Olivia cannot be a knight, because this would contradict the claim of Joseph that Olivia is a knave.", "Assume Olivia is a knave. No contradiction is found in their false claim that Zoey is not a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that Sebastian is a knight if and only if Sophia is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Grace is a knave or Sebastian is a knight.", "Sophia cannot be a knight, because this would contradict the claim of their own that Olivia is not a knave.", "Sophia cannot be a knave, because this would contradict the claim of Zoey that Sebastian is a knight if and only if Sophia is a knight.", "We have exhausted all possibilities for Sophia, so let us go back and reconsider Sebastian.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Grace is a knave or Sebastian is a knight.", "Sophia cannot be a knight, because this would contradict the claim of Zoey that Sebastian is a knight if and only if Sophia is a knight.", "Assume Sophia is a knave. No contradiction is found in their false claim that Olivia is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 4), ('<=>', ('telling-truth', 6), ('telling-truth', 2)), ('not', ('lying', 5)), ('lying', 5), ('<=>', ('telling-truth', 4), ('telling-truth', 3)), ('not', ('telling-truth', 1)), ('or', ('lying', 4), ('telling-truth', 6)))", "index": 237}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Matthew, Evelyn, Sophia, Benjamin, Avery, Emma, and Grace. Matthew said that Matthew is a knight if and only if Benjamin is a knight. Evelyn commented, \"If Emma is a knight then Matthew is a knave\". In a statement by Sophia: \"Matthew is a knave and Grace is a knave\". Benjamin expressed that Matthew is a knave. \"Benjamin is a knight or Matthew is a knave\" - Avery. Emma told you that Avery is a knave if and only if Matthew is a knight. Grace noted, \"Matthew is a knight\". So who is a knight and who is a knave?", "names": ["Matthew", "Evelyn", "Sophia", "Benjamin", "Avery", "Emma", "Grace"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, true, true, false], "solution_text": "Matthew is a knave, Evelyn is a knight, Sophia is a knight, Benjamin is a knight, Avery is a knight, Emma is a knight, and Grace is a knave.", "solution_text_format": "(1) Matthew is a knave\n(2) Evelyn is a knight\n(3) Sophia is a knight\n(4) Benjamin is a knight\n(5) Avery is a knight\n(6) Emma is a knight\n(7) Grace is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Matthew is a knight. No contradiction is found in their claim that Matthew is a knight if and only if Benjamin is a knight.", "Benjamin cannot be a knight, because this would contradict the claim of their own that Matthew is a knave.", "Benjamin cannot be a knave, because this would contradict the claim of Matthew that Matthew is a knight if and only if Benjamin is a knight.", "We have exhausted all possibilities for Benjamin, so let us go back and reconsider Matthew.", "Assume Matthew is a knave. No contradiction is found in their false claim that Matthew is a knight if and only if Benjamin is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that Matthew is a knave.", "Assume Evelyn is a knight. No contradiction is found in their claim that If Emma is a knight then Matthew is a knave.", "Assume Emma is a knight. No contradiction is found in their claim that Avery is a knave if and only if Matthew is a knight.", "Assume Avery is a knight. No contradiction is found in their claim that Benjamin is a knight or Matthew is a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that Matthew is a knave and Grace is a knave.", "Grace cannot be a knight, because this would contradict the claim of Sophia that Matthew is a knave and Grace is a knave.", "Assume Grace is a knave. No contradiction is found in their false claim that Matthew is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 0), ('telling-truth', 3)), ('->', ('telling-truth', 5), ('lying', 0)), ('and', ('lying', 0), ('lying', 6)), ('lying', 0), ('or', ('telling-truth', 3), ('lying', 0)), ('<=>', ('lying', 4), ('telling-truth', 0)), ('telling-truth', 0))", "index": 238}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Penelope, Emily, Matthew, Alexander, Benjamin, Chloe, and Ethan. In Penelope's words: \"Chloe is a knave if and only if Alexander is a knave\". Emily stated, \"Penelope is a knave and Alexander is a knight\". \"Emily is a knave,\" Matthew mentioned. In Alexander's words: \"If Chloe is a knight then Benjamin is a knave\". Benjamin asserted: \"Matthew is a knave or Ethan is a knave\". Chloe expressed that Ethan is a knight or Benjamin is a knight. Ethan said, \"Chloe is a knight.\" So who is a knight and who is a knave?", "names": ["Penelope", "Emily", "Matthew", "Alexander", "Benjamin", "Chloe", "Ethan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, false, true, true], "solution_text": "Penelope is a knight, Emily is a knave, Matthew is a knight, Alexander is a knight, Benjamin is a knave, Chloe is a knight, and Ethan is a knight.", "solution_text_format": "(1) Penelope is a knight\n(2) Emily is a knave\n(3) Matthew is a knight\n(4) Alexander is a knight\n(5) Benjamin is a knave\n(6) Chloe is a knight\n(7) Ethan is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Penelope is a knight. No contradiction is found in their claim that Chloe is a knave if and only if Alexander is a knave.", "Assume Chloe is a knight. No contradiction is found in their claim that Ethan is a knight or Benjamin is a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that Chloe is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that Matthew is a knave or Ethan is a knave.", "Matthew cannot be a knight, because this would contradict the claim of Benjamin that Matthew is a knave or Ethan is a knave.", "Assume Matthew is a knave. No contradiction is found in their false claim that Emily is a knave.", "Emily cannot be a knight, because this would contradict the claim of their own that Penelope is a knave and Alexander is a knight.", "Emily cannot be a knave, because this would contradict the false claim of Matthew that Emily is a knave.", "We have exhausted all possibilities for Emily and Matthew, so let us go back and reconsider Benjamin.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Matthew is a knave or Ethan is a knave.", "Assume Matthew is a knight. No contradiction is found in their claim that Emily is a knave.", "Emily cannot be a knight, because this would contradict the claim of their own that Penelope is a knave and Alexander is a knight.", "Assume Emily is a knave. No contradiction is found in their false claim that Penelope is a knave and Alexander is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that If Chloe is a knight then Benjamin is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 5), ('lying', 3)), ('and', ('lying', 0), ('telling-truth', 3)), ('lying', 1), ('->', ('telling-truth', 5), ('lying', 4)), ('or', ('lying', 2), ('lying', 6)), ('or', ('telling-truth', 6), ('telling-truth', 4)), ('telling-truth', 5))", "index": 239}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Samuel, Joseph, Amelia, Benjamin, Ava, Olivia, and William. Samuel asserted: \"William is a knave or Amelia is a knave\". Joseph remarked, \"If Olivia is a knight then Benjamin is a knave\". Amelia stated, \"Olivia is a knave\". Benjamin said that Joseph is a knave and Ava is a knight. \"Amelia is a knight and Benjamin is a knave\" - Ava. Olivia said, \"Benjamin is not a knave.\" William said that Olivia is a knave if and only if Amelia is a knight. So who is a knight and who is a knave?", "names": ["Samuel", "Joseph", "Amelia", "Benjamin", "Ava", "Olivia", "William"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false, true, false, true], "solution_text": "Samuel is a knave, Joseph is a knight, Amelia is a knight, Benjamin is a knave, Ava is a knight, Olivia is a knave, and William is a knight.", "solution_text_format": "(1) Samuel is a knave\n(2) Joseph is a knight\n(3) Amelia is a knight\n(4) Benjamin is a knave\n(5) Ava is a knight\n(6) Olivia is a knave\n(7) William is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Samuel is a knight. No contradiction is found in their claim that William is a knave or Amelia is a knave.", "Assume William is a knight. No contradiction is found in their claim that Olivia is a knave if and only if Amelia is a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that Benjamin is not a knave.", "Assume Benjamin is a knight. No contradiction is found in their claim that Joseph is a knave and Ava is a knight.", "Joseph cannot be a knight, because this would contradict the claim of their own that If Olivia is a knight then Benjamin is a knave.", "Assume Joseph is a knave. No contradiction is found in their false claim that If Olivia is a knight then Benjamin is a knave.", "Ava cannot be a knight, because this would contradict the claim of their own that Amelia is a knight and Benjamin is a knave.", "Ava cannot be a knave, because this would contradict the claim of Benjamin that Joseph is a knave and Ava is a knight.", "We have exhausted all possibilities for Ava and Joseph, so let us go back and reconsider Benjamin.", "Benjamin cannot be a knave, because this would contradict the claim of Olivia that Benjamin is not a knave.", "We have exhausted all possibilities for Benjamin, so let us go back and reconsider Olivia.", "Assume Olivia is a knave. No contradiction is found in their false claim that Benjamin is not a knave.", "Benjamin cannot be a knight, because this would contradict the false claim of Olivia that Benjamin is not a knave.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Joseph is a knave and Ava is a knight.", "Assume Joseph is a knight. No contradiction is found in their claim that If Olivia is a knight then Benjamin is a knave.", "Assume Ava is a knight. No contradiction is found in their claim that Amelia is a knight and Benjamin is a knave.", "Amelia cannot be a knight, because this would contradict the claim of Samuel that William is a knave or Amelia is a knave.", "Amelia cannot be a knave, because this would contradict the false claim of their own that Olivia is a knave.", "We have exhausted all possibilities for Amelia, so let us go back and reconsider Ava.", "Assume Ava is a knave. No contradiction is found in their false claim that Amelia is a knight and Benjamin is a knave.", "Amelia cannot be a knight, because this would contradict the claim of Samuel that William is a knave or Amelia is a knave.", "Amelia cannot be a knave, because this would contradict the false claim of their own that Olivia is a knave.", "We have exhausted all possibilities for Amelia and Ava, so let us go back and reconsider Joseph.", "Joseph cannot be a knave, because this would contradict the false claim of their own that If Olivia is a knight then Benjamin is a knave.", "We have exhausted all possibilities for Joseph, Benjamin, and Olivia, so let us go back and reconsider William.", "Assume William is a knave. No contradiction is found in their false claim that Olivia is a knave if and only if Amelia is a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that Benjamin is not a knave.", "Assume Benjamin is a knight. No contradiction is found in their claim that Joseph is a knave and Ava is a knight.", "Joseph cannot be a knight, because this would contradict the claim of their own that If Olivia is a knight then Benjamin is a knave.", "Assume Joseph is a knave. No contradiction is found in their false claim that If Olivia is a knight then Benjamin is a knave.", "Ava cannot be a knight, because this would contradict the claim of their own that Amelia is a knight and Benjamin is a knave.", "Ava cannot be a knave, because this would contradict the claim of Benjamin that Joseph is a knave and Ava is a knight.", "We have exhausted all possibilities for Ava and Joseph, so let us go back and reconsider Benjamin.", "Benjamin cannot be a knave, because this would contradict the claim of Olivia that Benjamin is not a knave.", "We have exhausted all possibilities for Benjamin, so let us go back and reconsider Olivia.", "Assume Olivia is a knave. No contradiction is found in their false claim that Benjamin is not a knave.", "Benjamin cannot be a knight, because this would contradict the false claim of Olivia that Benjamin is not a knave.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Joseph is a knave and Ava is a knight.", "Assume Joseph is a knight. No contradiction is found in their claim that If Olivia is a knight then Benjamin is a knave.", "Assume Ava is a knight. No contradiction is found in their claim that Amelia is a knight and Benjamin is a knave.", "Amelia cannot be a knight, because this would contradict the false claim of William that Olivia is a knave if and only if Amelia is a knight.", "Amelia cannot be a knave, because this would contradict the false claim of their own that Olivia is a knave.", "We have exhausted all possibilities for Amelia, so let us go back and reconsider Ava.", "Assume Ava is a knave. No contradiction is found in their false claim that Amelia is a knight and Benjamin is a knave.", "Amelia cannot be a knight, because this would contradict the false claim of Ava that Amelia is a knight and Benjamin is a knave.", "Amelia cannot be a knave, because this would contradict the false claim of their own that Olivia is a knave.", "We have exhausted all possibilities for Amelia and Ava, so let us go back and reconsider Joseph.", "Joseph cannot be a knave, because this would contradict the false claim of their own that If Olivia is a knight then Benjamin is a knave.", "We have exhausted all possibilities for Joseph, Benjamin, Olivia, and William, so let us go back and reconsider Samuel.", "Assume Samuel is a knave. No contradiction is found in their false claim that William is a knave or Amelia is a knave.", "Assume William is a knight. No contradiction is found in their claim that Olivia is a knave if and only if Amelia is a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that Benjamin is not a knave.", "Assume Benjamin is a knight. No contradiction is found in their claim that Joseph is a knave and Ava is a knight.", "Joseph cannot be a knight, because this would contradict the claim of their own that If Olivia is a knight then Benjamin is a knave.", "Assume Joseph is a knave. No contradiction is found in their false claim that If Olivia is a knight then Benjamin is a knave.", "Ava cannot be a knight, because this would contradict the claim of their own that Amelia is a knight and Benjamin is a knave.", "Ava cannot be a knave, because this would contradict the claim of Benjamin that Joseph is a knave and Ava is a knight.", "We have exhausted all possibilities for Ava and Joseph, so let us go back and reconsider Benjamin.", "Benjamin cannot be a knave, because this would contradict the claim of Olivia that Benjamin is not a knave.", "We have exhausted all possibilities for Benjamin, so let us go back and reconsider Olivia.", "Assume Olivia is a knave. No contradiction is found in their false claim that Benjamin is not a knave.", "Benjamin cannot be a knight, because this would contradict the false claim of Olivia that Benjamin is not a knave.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Joseph is a knave and Ava is a knight.", "Assume Joseph is a knight. No contradiction is found in their claim that If Olivia is a knight then Benjamin is a knave.", "Assume Ava is a knight. No contradiction is found in their claim that Amelia is a knight and Benjamin is a knave.", "Assume Amelia is a knight. No contradiction is found in their claim that Olivia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 6), ('lying', 2)), ('->', ('telling-truth', 5), ('lying', 3)), ('lying', 5), ('and', ('lying', 1), ('telling-truth', 4)), ('and', ('telling-truth', 2), ('lying', 3)), ('not', ('lying', 3)), ('<=>', ('lying', 5), ('telling-truth', 2)))", "index": 240}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Joseph, Lucas, Zoey, Aiden, Daniel, Charlotte, and William. Joseph said, \"Charlotte is not a knave.\" As Lucas put it, \"Charlotte is a knave\". \"William is a knave or Aiden is a knave,\" Zoey declared. \"Lucas is not a knight,\" Aiden declared. Daniel stated, \"If Joseph is a knave then Charlotte is a knave\". \"Zoey is a knight and Daniel is a knight,\" Charlotte mentioned. William said, \"William is a knight.\" So who is a knight and who is a knave?", "names": ["Joseph", "Lucas", "Zoey", "Aiden", "Daniel", "Charlotte", "William"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, true, true, false], "solution_text": "Joseph is a knight, Lucas is a knave, Zoey is a knight, Aiden is a knight, Daniel is a knight, Charlotte is a knight, and William is a knave.", "solution_text_format": "(1) Joseph is a knight\n(2) Lucas is a knave\n(3) Zoey is a knight\n(4) Aiden is a knight\n(5) Daniel is a knight\n(6) Charlotte is a knight\n(7) William is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Joseph is a knight. No contradiction is found in their claim that Charlotte is not a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that Zoey is a knight and Daniel is a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that William is a knave or Aiden is a knave.", "Assume William is a knight. No contradiction is found in their claim that William is a knight.", "Aiden cannot be a knight, because this would contradict the claim of Zoey that William is a knave or Aiden is a knave.", "Assume Aiden is a knave. No contradiction is found in their false claim that Lucas is not a knight.", "Lucas cannot be a knight, because this would contradict the claim of their own that Charlotte is a knave.", "Lucas cannot be a knave, because this would contradict the false claim of Aiden that Lucas is not a knight.", "We have exhausted all possibilities for Lucas and Aiden, so let us go back and reconsider William.", "Assume William is a knave. No contradiction is found in their false claim that William is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that Lucas is not a knight.", "Lucas cannot be a knight, because this would contradict the claim of their own that Charlotte is a knave.", "Assume Lucas is a knave. No contradiction is found in their false claim that Charlotte is a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that If Joseph is a knave then Charlotte is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 5)), ('lying', 5), ('or', ('lying', 6), ('lying', 3)), ('not', ('telling-truth', 1)), ('->', ('lying', 0), ('lying', 5)), ('and', ('telling-truth', 2), ('telling-truth', 4)), ('telling-truth', 6))", "index": 241}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Liam, Matthew, Aurora, Jacob, Michael, Oliver, and Grace. Liam told you that If Jacob is a knight then Matthew is a knight. Matthew noted, \"Aurora is not a knight\". Aurora said, \"Jacob is a knight and Oliver is a knight.\" According to Jacob, \"Michael is a knight if and only if Oliver is a knave\". Michael told you that Oliver is a knight. Oliver expressed that Grace is a knight and Liam is a knight. Grace stated, \"Matthew is not a knave\". So who is a knight and who is a knave?", "names": ["Liam", "Matthew", "Aurora", "Jacob", "Michael", "Oliver", "Grace"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false, true, true, true], "solution_text": "Liam is a knight, Matthew is a knight, Aurora is a knave, Jacob is a knave, Michael is a knight, Oliver is a knight, and Grace is a knight.", "solution_text_format": "(1) Liam is a knight\n(2) Matthew is a knight\n(3) Aurora is a knave\n(4) Jacob is a knave\n(5) Michael is a knight\n(6) Oliver is a knight\n(7) Grace is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Liam is a knight. No contradiction is found in their claim that If Jacob is a knight then Matthew is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that Michael is a knight if and only if Oliver is a knave.", "Assume Michael is a knight. No contradiction is found in their claim that Oliver is a knight.", "Oliver cannot be a knight, because this would contradict the claim of Jacob that Michael is a knight if and only if Oliver is a knave.", "Oliver cannot be a knave, because this would contradict the claim of Michael that Oliver is a knight.", "We have exhausted all possibilities for Oliver, so let us go back and reconsider Michael.", "Assume Michael is a knave. No contradiction is found in their false claim that Oliver is a knight.", "Oliver cannot be a knight, because this would contradict the false claim of Michael that Oliver is a knight.", "Oliver cannot be a knave, because this would contradict the claim of Jacob that Michael is a knight if and only if Oliver is a knave.", "We have exhausted all possibilities for Oliver and Michael, so let us go back and reconsider Jacob.", "Assume Jacob is a knave. No contradiction is found in their false claim that Michael is a knight if and only if Oliver is a knave.", "Assume Michael is a knight. No contradiction is found in their claim that Oliver is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that Grace is a knight and Liam is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that Matthew is not a knave.", "Assume Matthew is a knight. No contradiction is found in their claim that Aurora is not a knight.", "Aurora cannot be a knight, because this would contradict the claim of Matthew that Aurora is not a knight.", "Assume Aurora is a knave. No contradiction is found in their false claim that Jacob is a knight and Oliver is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 3), ('telling-truth', 1)), ('not', ('telling-truth', 2)), ('and', ('telling-truth', 3), ('telling-truth', 5)), ('<=>', ('telling-truth', 4), ('lying', 5)), ('telling-truth', 5), ('and', ('telling-truth', 6), ('telling-truth', 0)), ('not', ('lying', 1)))", "index": 242}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Mason, Jacob, David, Daniel, Henry, Mia, and Logan. According to Mason, \"Henry is not a knight\". According to Jacob, \"Mia is a knave and Henry is a knave\". \"If Logan is a knave then Mia is a knave,\" David declared. \"Daniel is a knight or Mia is a knave,\" Daniel mentioned. Henry remarked, \"David is a knave if and only if Mia is a knave\". In a statement by Mia: \"Mason is a knave\". Logan noted, \"David is a knave and Logan is a knight\". So who is a knight and who is a knave?", "names": ["Mason", "Jacob", "David", "Daniel", "Henry", "Mia", "Logan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, false, false, false], "solution_text": "Mason is a knight, Jacob is a knight, David is a knight, Daniel is a knight, Henry is a knave, Mia is a knave, and Logan is a knave.", "solution_text_format": "(1) Mason is a knight\n(2) Jacob is a knight\n(3) David is a knight\n(4) Daniel is a knight\n(5) Henry is a knave\n(6) Mia is a knave\n(7) Logan is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Mason is a knight. No contradiction is found in their claim that Henry is not a knight.", "Henry cannot be a knight, because this would contradict the claim of Mason that Henry is not a knight.", "Assume Henry is a knave. No contradiction is found in their false claim that David is a knave if and only if Mia is a knave.", "Assume David is a knight. No contradiction is found in their claim that If Logan is a knave then Mia is a knave.", "Logan cannot be a knight, because this would contradict the claim of their own that David is a knave and Logan is a knight.", "Assume Logan is a knave. No contradiction is found in their false claim that David is a knave and Logan is a knight.", "Mia cannot be a knight, because this would contradict the claim of David that If Logan is a knave then Mia is a knave.", "Assume Mia is a knave. No contradiction is found in their false claim that Mason is a knave.", "Assume Jacob is a knight. No contradiction is found in their claim that Mia is a knave and Henry is a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that Daniel is a knight or Mia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 4)), ('and', ('lying', 5), ('lying', 4)), ('->', ('lying', 6), ('lying', 5)), ('or', ('telling-truth', 3), ('lying', 5)), ('<=>', ('lying', 2), ('lying', 5)), ('lying', 0), ('and', ('lying', 2), ('telling-truth', 6)))", "index": 243}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Scarlett, Lily, Alexander, David, Oliver, Harper, and Jacob. Scarlett told you that Jacob is a knight. \"David is a knave and Harper is a knight\" - Lily. \"If Lily is a knight then David is a knight,\" Alexander declared. According to David, \"If Alexander is a knight then David is a knight\". Oliver said that David is a knave and Jacob is a knave. \"Alexander is not a knave,\" Harper claimed. According to Jacob, \"Harper is a knave and Alexander is a knave\". So who is a knight and who is a knave?", "names": ["Scarlett", "Lily", "Alexander", "David", "Oliver", "Harper", "Jacob"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true, false, true, false], "solution_text": "Scarlett is a knave, Lily is a knave, Alexander is a knight, David is a knight, Oliver is a knave, Harper is a knight, and Jacob is a knave.", "solution_text_format": "(1) Scarlett is a knave\n(2) Lily is a knave\n(3) Alexander is a knight\n(4) David is a knight\n(5) Oliver is a knave\n(6) Harper is a knight\n(7) Jacob is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Scarlett is a knight. No contradiction is found in their claim that Jacob is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that Harper is a knave and Alexander is a knave.", "Harper cannot be a knight, because this would contradict the claim of Jacob that Harper is a knave and Alexander is a knave.", "Assume Harper is a knave. No contradiction is found in their false claim that Alexander is not a knave.", "Alexander cannot be a knight, because this would contradict the false claim of Harper that Alexander is not a knave.", "Assume Alexander is a knave. No contradiction is found in their false claim that If Lily is a knight then David is a knight.", "Lily cannot be a knight, because this would contradict the claim of their own that David is a knave and Harper is a knight.", "Lily cannot be a knave, because this would contradict the false claim of Alexander that If Lily is a knight then David is a knight.", "We have exhausted all possibilities for Lily, Alexander, and Harper, so let us go back and reconsider Jacob.", "Jacob cannot be a knave, because this would contradict the claim of Scarlett that Jacob is a knight.", "We have exhausted all possibilities for Jacob, so let us go back and reconsider Scarlett.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Jacob is a knight.", "Jacob cannot be a knight, because this would contradict the false claim of Scarlett that Jacob is a knight.", "Assume Jacob is a knave. No contradiction is found in their false claim that Harper is a knave and Alexander is a knave.", "Assume Harper is a knight. No contradiction is found in their claim that Alexander is not a knave.", "Assume Alexander is a knight. No contradiction is found in their claim that If Lily is a knight then David is a knight.", "Assume Lily is a knight. No contradiction is found in their claim that David is a knave and Harper is a knight.", "David cannot be a knight, because this would contradict the claim of Lily that David is a knave and Harper is a knight.", "David cannot be a knave, because this would contradict the claim of Alexander that If Lily is a knight then David is a knight.", "We have exhausted all possibilities for David, so let us go back and reconsider Lily.", "Assume Lily is a knave. No contradiction is found in their false claim that David is a knave and Harper is a knight.", "Assume David is a knight. No contradiction is found in their claim that If Alexander is a knight then David is a knight.", "Oliver cannot be a knight, because this would contradict the claim of their own that David is a knave and Jacob is a knave.", "Assume Oliver is a knave. No contradiction is found in their false claim that David is a knave and Jacob is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 6), ('and', ('lying', 3), ('telling-truth', 5)), ('->', ('telling-truth', 1), ('telling-truth', 3)), ('->', ('telling-truth', 2), ('telling-truth', 3)), ('and', ('lying', 3), ('lying', 6)), ('not', ('lying', 2)), ('and', ('lying', 5), ('lying', 2)))", "index": 244}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Jack, Isabella, Mia, Charlotte, Riley, Benjamin, and Logan. Jack said, \"Charlotte is a knight.\" Isabella stated, \"Logan is a knight and Logan is a knave\". Mia asserted: \"Isabella is a knight\". Charlotte remarked, \"Isabella is not a knight\". \"Mia is a knight and Logan is a knight,\" Riley mentioned. In Benjamin's words: \"If Charlotte is a knight then Jack is a knave\". Logan said, \"Mia is a knave.\" So who is a knight and who is a knave?", "names": ["Jack", "Isabella", "Mia", "Charlotte", "Riley", "Benjamin", "Logan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, false, false, true], "solution_text": "Jack is a knight, Isabella is a knave, Mia is a knave, Charlotte is a knight, Riley is a knave, Benjamin is a knave, and Logan is a knight.", "solution_text_format": "(1) Jack is a knight\n(2) Isabella is a knave\n(3) Mia is a knave\n(4) Charlotte is a knight\n(5) Riley is a knave\n(6) Benjamin is a knave\n(7) Logan is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jack is a knight. No contradiction is found in their claim that Charlotte is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that Isabella is not a knight.", "Isabella cannot be a knight, because this would contradict the claim of their own that Logan is a knight and Logan is a knave.", "Assume Isabella is a knave. No contradiction is found in their false claim that Logan is a knight and Logan is a knave.", "Assume Logan is a knight. No contradiction is found in their claim that Mia is a knave.", "Mia cannot be a knight, because this would contradict the claim of their own that Isabella is a knight.", "Assume Mia is a knave. No contradiction is found in their false claim that Isabella is a knight.", "Riley cannot be a knight, because this would contradict the claim of their own that Mia is a knight and Logan is a knight.", "Assume Riley is a knave. No contradiction is found in their false claim that Mia is a knight and Logan is a knight.", "Benjamin cannot be a knight, because this would contradict the claim of their own that If Charlotte is a knight then Jack is a knave.", "Assume Benjamin is a knave. No contradiction is found in their false claim that If Charlotte is a knight then Jack is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 3), ('and', ('telling-truth', 6), ('lying', 6)), ('telling-truth', 1), ('not', ('telling-truth', 1)), ('and', ('telling-truth', 2), ('telling-truth', 6)), ('->', ('telling-truth', 3), ('lying', 0)), ('lying', 2))", "index": 245}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Jacob, Benjamin, Aria, Harper, Zoey, Matthew, and William. As Jacob put it, \"Harper is a knave if and only if Zoey is a knight\". Benjamin expressed that If Zoey is a knave then William is a knave. Aria told you that Harper is a knave or Zoey is a knave. Harper asserted: \"Benjamin is a knave and Zoey is a knight\". Zoey was heard saying, \"Matthew is a knight\". In Matthew's words: \"If William is a knight then Harper is a knight\". As William put it, \"Aria is a knave and Zoey is a knave\". So who is a knight and who is a knave?", "names": ["Jacob", "Benjamin", "Aria", "Harper", "Zoey", "Matthew", "William"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false, true, true, false], "solution_text": "Jacob is a knight, Benjamin is a knight, Aria is a knight, Harper is a knave, Zoey is a knight, Matthew is a knight, and William is a knave.", "solution_text_format": "(1) Jacob is a knight\n(2) Benjamin is a knight\n(3) Aria is a knight\n(4) Harper is a knave\n(5) Zoey is a knight\n(6) Matthew is a knight\n(7) William is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jacob is a knight. No contradiction is found in their claim that Harper is a knave if and only if Zoey is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that Benjamin is a knave and Zoey is a knight.", "Benjamin cannot be a knight, because this would contradict the claim of Harper that Benjamin is a knave and Zoey is a knight.", "Assume Benjamin is a knave. No contradiction is found in their false claim that If Zoey is a knave then William is a knave.", "Zoey cannot be a knight, because this would contradict the claim of Jacob that Harper is a knave if and only if Zoey is a knight.", "Zoey cannot be a knave, because this would contradict the claim of Harper that Benjamin is a knave and Zoey is a knight.", "We have exhausted all possibilities for Zoey and Benjamin, so let us go back and reconsider Harper.", "Assume Harper is a knave. No contradiction is found in their false claim that Benjamin is a knave and Zoey is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that If Zoey is a knave then William is a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that Matthew is a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that If William is a knight then Harper is a knight.", "William cannot be a knight, because this would contradict the claim of Matthew that If William is a knight then Harper is a knight.", "Assume William is a knave. No contradiction is found in their false claim that Aria is a knave and Zoey is a knave.", "Assume Aria is a knight. No contradiction is found in their claim that Harper is a knave or Zoey is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 3), ('telling-truth', 4)), ('->', ('lying', 4), ('lying', 6)), ('or', ('lying', 3), ('lying', 4)), ('and', ('lying', 1), ('telling-truth', 4)), ('telling-truth', 5), ('->', ('telling-truth', 6), ('telling-truth', 3)), ('and', ('lying', 2), ('lying', 4)))", "index": 246}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Jacob, Avery, David, Logan, Victoria, Penelope, and Jack. Jacob told you that Penelope is a knight and Victoria is a knave. Avery stated, \"Jacob is not a knight\". As David put it, \"Victoria is a knight if and only if Jacob is a knave\". Logan expressed that Jack is not a knight. Victoria expressed that Logan is a knave and Victoria is a knight. \"If Avery is a knave then Jack is a knave,\" Penelope claimed. Jack expressed that Jacob is a knight and David is a knave. So who is a knight and who is a knave?", "names": ["Jacob", "Avery", "David", "Logan", "Victoria", "Penelope", "Jack"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, false, true, false], "solution_text": "Jacob is a knight, Avery is a knave, David is a knight, Logan is a knight, Victoria is a knave, Penelope is a knight, and Jack is a knave.", "solution_text_format": "(1) Jacob is a knight\n(2) Avery is a knave\n(3) David is a knight\n(4) Logan is a knight\n(5) Victoria is a knave\n(6) Penelope is a knight\n(7) Jack is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jacob is a knight. No contradiction is found in their claim that Penelope is a knight and Victoria is a knave.", "Assume Penelope is a knight. No contradiction is found in their claim that If Avery is a knave then Jack is a knave.", "Avery cannot be a knight, because this would contradict the claim of their own that Jacob is not a knight.", "Assume Avery is a knave. No contradiction is found in their false claim that Jacob is not a knight.", "Jack cannot be a knight, because this would contradict the claim of Penelope that If Avery is a knave then Jack is a knave.", "Assume Jack is a knave. No contradiction is found in their false claim that Jacob is a knight and David is a knave.", "Assume David is a knight. No contradiction is found in their claim that Victoria is a knight if and only if Jacob is a knave.", "Victoria cannot be a knight, because this would contradict the claim of Jacob that Penelope is a knight and Victoria is a knave.", "Assume Victoria is a knave. No contradiction is found in their false claim that Logan is a knave and Victoria is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that Jack is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 5), ('lying', 4)), ('not', ('telling-truth', 0)), ('<=>', ('telling-truth', 4), ('lying', 0)), ('not', ('telling-truth', 6)), ('and', ('lying', 3), ('telling-truth', 4)), ('->', ('lying', 1), ('lying', 6)), ('and', ('telling-truth', 0), ('lying', 2)))", "index": 247}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Emma, Lucas, David, Ethan, Owen, Joseph, and Aurora. Emma said that Owen is a knight or Lucas is a knave. In Lucas's words: \"Joseph is not a knave\". David stated, \"Emma is a knave\". Ethan was heard saying, \"Emma is a knave if and only if David is a knight\". According to Owen, \"If Lucas is a knave then Ethan is a knave\". \"David is not a knight,\" Joseph mentioned. In Aurora's words: \"Lucas is a knave or Ethan is a knave\". So who is a knight and who is a knave?", "names": ["Emma", "Lucas", "David", "Ethan", "Owen", "Joseph", "Aurora"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true, true, true, false], "solution_text": "Emma is a knight, Lucas is a knight, David is a knave, Ethan is a knight, Owen is a knight, Joseph is a knight, and Aurora is a knave.", "solution_text_format": "(1) Emma is a knight\n(2) Lucas is a knight\n(3) David is a knave\n(4) Ethan is a knight\n(5) Owen is a knight\n(6) Joseph is a knight\n(7) Aurora is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Emma is a knight. No contradiction is found in their claim that Owen is a knight or Lucas is a knave.", "Assume Owen is a knight. No contradiction is found in their claim that If Lucas is a knave then Ethan is a knave.", "Assume Lucas is a knight. No contradiction is found in their claim that Joseph is not a knave.", "Assume Joseph is a knight. No contradiction is found in their claim that David is not a knight.", "David cannot be a knight, because this would contradict the claim of their own that Emma is a knave.", "Assume David is a knave. No contradiction is found in their false claim that Emma is a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that Emma is a knave if and only if David is a knight.", "Aurora cannot be a knight, because this would contradict the claim of their own that Lucas is a knave or Ethan is a knave.", "Assume Aurora is a knave. No contradiction is found in their false claim that Lucas is a knave or Ethan is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 4), ('lying', 1)), ('not', ('lying', 5)), ('lying', 0), ('<=>', ('lying', 0), ('telling-truth', 2)), ('->', ('lying', 1), ('lying', 3)), ('not', ('telling-truth', 2)), ('or', ('lying', 1), ('lying', 3)))", "index": 248}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Henry, Ella, Luke, Abigail, Isabella, Jackson, and Charlotte. Henry stated, \"Luke is not a knave\". In Ella's words: \"Luke is not a knight\". In a statement by Luke: \"Henry is a knave if and only if Abigail is a knight\". Abigail told you that Henry is a knight or Isabella is a knave. Isabella said, \"If Abigail is a knight then Luke is a knight.\" According to Jackson, \"If Abigail is a knave then Henry is a knight\". Charlotte said that If Ella is a knave then Luke is a knight. So who is a knight and who is a knave?", "names": ["Henry", "Ella", "Luke", "Abigail", "Isabella", "Jackson", "Charlotte"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false, true, false, true], "solution_text": "Henry is a knave, Ella is a knight, Luke is a knave, Abigail is a knave, Isabella is a knight, Jackson is a knave, and Charlotte is a knight.", "solution_text_format": "(1) Henry is a knave\n(2) Ella is a knight\n(3) Luke is a knave\n(4) Abigail is a knave\n(5) Isabella is a knight\n(6) Jackson is a knave\n(7) Charlotte is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Henry is a knight. No contradiction is found in their claim that Luke is not a knave.", "Assume Luke is a knight. No contradiction is found in their claim that Henry is a knave if and only if Abigail is a knight.", "Abigail cannot be a knight, because this would contradict the claim of Luke that Henry is a knave if and only if Abigail is a knight.", "Abigail cannot be a knave, because this would contradict the false claim of their own that Henry is a knight or Isabella is a knave.", "We have exhausted all possibilities for Abigail, so let us go back and reconsider Luke.", "Luke cannot be a knave, because this would contradict the claim of Henry that Luke is not a knave.", "We have exhausted all possibilities for Luke, so let us go back and reconsider Henry.", "Assume Henry is a knave. No contradiction is found in their false claim that Luke is not a knave.", "Luke cannot be a knight, because this would contradict the false claim of Henry that Luke is not a knave.", "Assume Luke is a knave. No contradiction is found in their false claim that Henry is a knave if and only if Abigail is a knight.", "Abigail cannot be a knight, because this would contradict the false claim of Luke that Henry is a knave if and only if Abigail is a knight.", "Assume Abigail is a knave. No contradiction is found in their false claim that Henry is a knight or Isabella is a knave.", "Assume Isabella is a knight. No contradiction is found in their claim that If Abigail is a knight then Luke is a knight.", "Assume Ella is a knight. No contradiction is found in their claim that Luke is not a knight.", "Jackson cannot be a knight, because this would contradict the claim of their own that If Abigail is a knave then Henry is a knight.", "Assume Jackson is a knave. No contradiction is found in their false claim that If Abigail is a knave then Henry is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that If Ella is a knave then Luke is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 2)), ('not', ('telling-truth', 2)), ('<=>', ('lying', 0), ('telling-truth', 3)), ('or', ('telling-truth', 0), ('lying', 4)), ('->', ('telling-truth', 3), ('telling-truth', 2)), ('->', ('lying', 3), ('telling-truth', 0)), ('->', ('lying', 1), ('telling-truth', 2)))", "index": 249}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Noah, Elizabeth, Riley, Penelope, Sofia, Zoey, and Ava. In Noah's words: \"Ava is a knight and Elizabeth is a knight\". In a statement by Elizabeth: \"Noah is a knight or Ava is a knave\". Riley remarked, \"Elizabeth is not a knight\". \"Ava is a knight if and only if Ava is a knave,\" Penelope mentioned. Sofia said that Ava is a knight if and only if Riley is a knave. Zoey noted, \"Noah is a knave if and only if Riley is a knight\". Ava told you that Riley is a knave or Zoey is a knave. So who is a knight and who is a knave?", "names": ["Noah", "Elizabeth", "Riley", "Penelope", "Sofia", "Zoey", "Ava"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false, true, true, true], "solution_text": "Noah is a knight, Elizabeth is a knight, Riley is a knave, Penelope is a knave, Sofia is a knight, Zoey is a knight, and Ava is a knight.", "solution_text_format": "(1) Noah is a knight\n(2) Elizabeth is a knight\n(3) Riley is a knave\n(4) Penelope is a knave\n(5) Sofia is a knight\n(6) Zoey is a knight\n(7) Ava is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Noah is a knight. No contradiction is found in their claim that Ava is a knight and Elizabeth is a knight.", "Assume Ava is a knight. No contradiction is found in their claim that Riley is a knave or Zoey is a knave.", "Assume Riley is a knight. No contradiction is found in their claim that Elizabeth is not a knight.", "Elizabeth cannot be a knight, because this would contradict the claim of Riley that Elizabeth is not a knight.", "Elizabeth cannot be a knave, because this would contradict the claim of Noah that Ava is a knight and Elizabeth is a knight.", "We have exhausted all possibilities for Elizabeth, so let us go back and reconsider Riley.", "Assume Riley is a knave. No contradiction is found in their false claim that Elizabeth is not a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Noah is a knight or Ava is a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that Noah is a knave if and only if Riley is a knight.", "Penelope cannot be a knight, because this would contradict the claim of their own that Ava is a knight if and only if Ava is a knave.", "Assume Penelope is a knave. No contradiction is found in their false claim that Ava is a knight if and only if Ava is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that Ava is a knight if and only if Riley is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 6), ('telling-truth', 1)), ('or', ('telling-truth', 0), ('lying', 6)), ('not', ('telling-truth', 1)), ('<=>', ('telling-truth', 6), ('lying', 6)), ('<=>', ('telling-truth', 6), ('lying', 2)), ('<=>', ('lying', 0), ('telling-truth', 2)), ('or', ('lying', 2), ('lying', 5)))", "index": 250}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Lily, Scarlett, Ella, Oliver, Ava, Grace, and Jacob. Lily remarked, \"Ava is a knave\". Scarlett noted, \"Oliver is not a knight\". As Ella put it, \"Jacob is not a knight\". \"Ella is a knight,\" Oliver claimed. Ava was heard saying, \"Grace is a knave and Oliver is a knight\". \"Ava is a knave and Scarlett is a knave,\" Grace claimed. Jacob told you that Grace is not a knave. So who is a knight and who is a knave?", "names": ["Lily", "Scarlett", "Ella", "Oliver", "Ava", "Grace", "Jacob"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true, true, false, false], "solution_text": "Lily is a knave, Scarlett is a knave, Ella is a knight, Oliver is a knight, Ava is a knight, Grace is a knave, and Jacob is a knave.", "solution_text_format": "(1) Lily is a knave\n(2) Scarlett is a knave\n(3) Ella is a knight\n(4) Oliver is a knight\n(5) Ava is a knight\n(6) Grace is a knave\n(7) Jacob is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Lily is a knight. No contradiction is found in their claim that Ava is a knave.", "Ava cannot be a knight, because this would contradict the claim of Lily that Ava is a knave.", "Assume Ava is a knave. No contradiction is found in their false claim that Grace is a knave and Oliver is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that Ava is a knave and Scarlett is a knave.", "Scarlett cannot be a knight, because this would contradict the claim of Grace that Ava is a knave and Scarlett is a knave.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Oliver is not a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that Ella is a knight.", "Assume Ella is a knight. No contradiction is found in their claim that Jacob is not a knight.", "Jacob cannot be a knight, because this would contradict the claim of Ella that Jacob is not a knight.", "Jacob cannot be a knave, because this would contradict the false claim of their own that Grace is not a knave.", "We have exhausted all possibilities for Jacob, so let us go back and reconsider Ella.", "Ella cannot be a knave, because this would contradict the claim of Oliver that Ella is a knight.", "We have exhausted all possibilities for Ella, so let us go back and reconsider Oliver.", "Oliver cannot be a knave, because this would contradict the false claim of Scarlett that Oliver is not a knight.", "We have exhausted all possibilities for Oliver and Scarlett, so let us go back and reconsider Grace.", "Assume Grace is a knave. No contradiction is found in their false claim that Ava is a knave and Scarlett is a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that Oliver is not a knight.", "Oliver cannot be a knight, because this would contradict the claim of Scarlett that Oliver is not a knight.", "Assume Oliver is a knave. No contradiction is found in their false claim that Ella is a knight.", "Ella cannot be a knight, because this would contradict the false claim of Oliver that Ella is a knight.", "Assume Ella is a knave. No contradiction is found in their false claim that Jacob is not a knight.", "Jacob cannot be a knight, because this would contradict the claim of their own that Grace is not a knave.", "Jacob cannot be a knave, because this would contradict the false claim of Ella that Jacob is not a knight.", "We have exhausted all possibilities for Jacob, Ella, and Oliver, so let us go back and reconsider Scarlett.", "Scarlett cannot be a knave, because this would contradict the false claim of Grace that Ava is a knave and Scarlett is a knave.", "We have exhausted all possibilities for Scarlett, Grace, and Ava, so let us go back and reconsider Lily.", "Assume Lily is a knave. No contradiction is found in their false claim that Ava is a knave.", "Assume Ava is a knight. No contradiction is found in their claim that Grace is a knave and Oliver is a knight.", "Grace cannot be a knight, because this would contradict the claim of Ava that Grace is a knave and Oliver is a knight.", "Assume Grace is a knave. No contradiction is found in their false claim that Ava is a knave and Scarlett is a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that Oliver is not a knight.", "Oliver cannot be a knight, because this would contradict the claim of Scarlett that Oliver is not a knight.", "Oliver cannot be a knave, because this would contradict the claim of Ava that Grace is a knave and Oliver is a knight.", "We have exhausted all possibilities for Oliver, so let us go back and reconsider Scarlett.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Oliver is not a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that Ella is a knight.", "Assume Ella is a knight. No contradiction is found in their claim that Jacob is not a knight.", "Jacob cannot be a knight, because this would contradict the claim of Ella that Jacob is not a knight.", "Assume Jacob is a knave. No contradiction is found in their false claim that Grace is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 4), ('not', ('telling-truth', 3)), ('not', ('telling-truth', 6)), ('telling-truth', 2), ('and', ('lying', 5), ('telling-truth', 3)), ('and', ('lying', 4), ('lying', 1)), ('not', ('lying', 5)))", "index": 251}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Mia, Ethan, Isabella, Penelope, William, Emma, and Benjamin. \"Benjamin is a knave or Ethan is a knave,\" Mia claimed. Ethan commented, \"Emma is a knight or Benjamin is a knave\". Isabella commented, \"If Mia is a knight then Ethan is a knave\". Penelope told you that Emma is a knave and Benjamin is a knave. William told you that Benjamin is a knave or Isabella is a knave. Emma expressed that Isabella is a knight or Penelope is a knight. Benjamin said that If Isabella is a knave then William is a knight. So who is a knight and who is a knave?", "names": ["Mia", "Ethan", "Isabella", "Penelope", "William", "Emma", "Benjamin"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false, false, true, true], "solution_text": "Mia is a knave, Ethan is a knight, Isabella is a knight, Penelope is a knave, William is a knave, Emma is a knight, and Benjamin is a knight.", "solution_text_format": "(1) Mia is a knave\n(2) Ethan is a knight\n(3) Isabella is a knight\n(4) Penelope is a knave\n(5) William is a knave\n(6) Emma is a knight\n(7) Benjamin is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Mia is a knight. No contradiction is found in their claim that Benjamin is a knave or Ethan is a knave.", "Assume Benjamin is a knight. No contradiction is found in their claim that If Isabella is a knave then William is a knight.", "Assume Isabella is a knight. No contradiction is found in their claim that If Mia is a knight then Ethan is a knave.", "Ethan cannot be a knight, because this would contradict the claim of Mia that Benjamin is a knave or Ethan is a knave.", "Assume Ethan is a knave. No contradiction is found in their false claim that Emma is a knight or Benjamin is a knave.", "Emma cannot be a knight, because this would contradict the false claim of Ethan that Emma is a knight or Benjamin is a knave.", "Emma cannot be a knave, because this would contradict the false claim of their own that Isabella is a knight or Penelope is a knight.", "We have exhausted all possibilities for Emma and Ethan, so let us go back and reconsider Isabella.", "Assume Isabella is a knave. No contradiction is found in their false claim that If Mia is a knight then Ethan is a knave.", "Ethan cannot be a knight, because this would contradict the claim of Mia that Benjamin is a knave or Ethan is a knave.", "Ethan cannot be a knave, because this would contradict the false claim of Isabella that If Mia is a knight then Ethan is a knave.", "We have exhausted all possibilities for Ethan and Isabella, so let us go back and reconsider Benjamin.", "Assume Benjamin is a knave. No contradiction is found in their false claim that If Isabella is a knave then William is a knight.", "Isabella cannot be a knight, because this would contradict the false claim of Benjamin that If Isabella is a knave then William is a knight.", "Assume Isabella is a knave. No contradiction is found in their false claim that If Mia is a knight then Ethan is a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that Emma is a knight or Benjamin is a knave.", "Assume Emma is a knight. No contradiction is found in their claim that Isabella is a knight or Penelope is a knight.", "Penelope cannot be a knight, because this would contradict the claim of their own that Emma is a knave and Benjamin is a knave.", "Penelope cannot be a knave, because this would contradict the claim of Emma that Isabella is a knight or Penelope is a knight.", "We have exhausted all possibilities for Penelope, so let us go back and reconsider Emma.", "Assume Emma is a knave. No contradiction is found in their false claim that Isabella is a knight or Penelope is a knight.", "Penelope cannot be a knight, because this would contradict the false claim of Emma that Isabella is a knight or Penelope is a knight.", "Penelope cannot be a knave, because this would contradict the false claim of their own that Emma is a knave and Benjamin is a knave.", "We have exhausted all possibilities for Penelope and Emma, so let us go back and reconsider Ethan.", "Ethan cannot be a knave, because this would contradict the false claim of their own that Emma is a knight or Benjamin is a knave.", "We have exhausted all possibilities for Ethan, Isabella, and Benjamin, so let us go back and reconsider Mia.", "Assume Mia is a knave. No contradiction is found in their false claim that Benjamin is a knave or Ethan is a knave.", "Assume Benjamin is a knight. No contradiction is found in their claim that If Isabella is a knave then William is a knight.", "Assume Isabella is a knight. No contradiction is found in their claim that If Mia is a knight then Ethan is a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that Emma is a knight or Benjamin is a knave.", "Assume Emma is a knight. No contradiction is found in their claim that Isabella is a knight or Penelope is a knight.", "Penelope cannot be a knight, because this would contradict the claim of their own that Emma is a knave and Benjamin is a knave.", "Assume Penelope is a knave. No contradiction is found in their false claim that Emma is a knave and Benjamin is a knave.", "William cannot be a knight, because this would contradict the claim of their own that Benjamin is a knave or Isabella is a knave.", "Assume William is a knave. No contradiction is found in their false claim that Benjamin is a knave or Isabella is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 6), ('lying', 1)), ('or', ('telling-truth', 5), ('lying', 6)), ('->', ('telling-truth', 0), ('lying', 1)), ('and', ('lying', 5), ('lying', 6)), ('or', ('lying', 6), ('lying', 2)), ('or', ('telling-truth', 2), ('telling-truth', 3)), ('->', ('lying', 2), ('telling-truth', 4)))", "index": 252}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Jacob, Sofia, David, Charlotte, Logan, Grace, and Olivia. \"Charlotte is a knight or David is a knight\" - Jacob. Sofia remarked, \"Jacob is not a knave\". As David put it, \"If Jacob is a knight then Olivia is a knave\". According to Charlotte, \"Grace is not a knave\". \"David is a knave if and only if Grace is a knave,\" Logan declared. \"Sofia is a knight and Charlotte is a knight\" - Grace. Olivia asserted: \"Jacob is a knave or Charlotte is a knave\". So who is a knight and who is a knave?", "names": ["Jacob", "Sofia", "David", "Charlotte", "Logan", "Grace", "Olivia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, true, true, false], "solution_text": "Jacob is a knight, Sofia is a knight, David is a knight, Charlotte is a knight, Logan is a knight, Grace is a knight, and Olivia is a knave.", "solution_text_format": "(1) Jacob is a knight\n(2) Sofia is a knight\n(3) David is a knight\n(4) Charlotte is a knight\n(5) Logan is a knight\n(6) Grace is a knight\n(7) Olivia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jacob is a knight. No contradiction is found in their claim that Charlotte is a knight or David is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that Grace is not a knave.", "Assume Grace is a knight. No contradiction is found in their claim that Sofia is a knight and Charlotte is a knight.", "Assume Sofia is a knight. No contradiction is found in their claim that Jacob is not a knave.", "Assume David is a knight. No contradiction is found in their claim that If Jacob is a knight then Olivia is a knave.", "Olivia cannot be a knight, because this would contradict the claim of David that If Jacob is a knight then Olivia is a knave.", "Assume Olivia is a knave. No contradiction is found in their false claim that Jacob is a knave or Charlotte is a knave.", "Assume Logan is a knight. No contradiction is found in their claim that David is a knave if and only if Grace is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 3), ('telling-truth', 2)), ('not', ('lying', 0)), ('->', ('telling-truth', 0), ('lying', 6)), ('not', ('lying', 5)), ('<=>', ('lying', 2), ('lying', 5)), ('and', ('telling-truth', 1), ('telling-truth', 3)), ('or', ('lying', 0), ('lying', 3)))", "index": 253}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: James, Daniel, Luke, Charlotte, Mia, Ella, and Riley. James stated, \"Luke is a knave if and only if Luke is a knight\". Daniel remarked, \"Charlotte is a knave if and only if Daniel is a knight\". Luke stated, \"Mia is a knave and Mia is a knight\". Charlotte was heard saying, \"Daniel is a knave if and only if Mia is a knave\". Mia said, \"If Mia is a knight then Daniel is a knave.\" \"Luke is not a knight,\" Ella claimed. \"James is a knight or James is a knave,\" Riley declared. So who is a knight and who is a knave?", "names": ["James", "Daniel", "Luke", "Charlotte", "Mia", "Ella", "Riley"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, false, true, true, true], "solution_text": "James is a knave, Daniel is a knave, Luke is a knave, Charlotte is a knave, Mia is a knight, Ella is a knight, and Riley is a knight.", "solution_text_format": "(1) James is a knave\n(2) Daniel is a knave\n(3) Luke is a knave\n(4) Charlotte is a knave\n(5) Mia is a knight\n(6) Ella is a knight\n(7) Riley is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["James cannot be a knight, because this would contradict the claim of their own that Luke is a knave if and only if Luke is a knight.", "Assume James is a knave. No contradiction is found in their false claim that Luke is a knave if and only if Luke is a knight.", "Luke cannot be a knight, because this would contradict the claim of their own that Mia is a knave and Mia is a knight.", "Assume Luke is a knave. No contradiction is found in their false claim that Mia is a knave and Mia is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that If Mia is a knight then Daniel is a knave.", "Daniel cannot be a knight, because this would contradict the claim of Mia that If Mia is a knight then Daniel is a knave.", "Assume Daniel is a knave. No contradiction is found in their false claim that Charlotte is a knave if and only if Daniel is a knight.", "Charlotte cannot be a knight, because this would contradict the false claim of Daniel that Charlotte is a knave if and only if Daniel is a knight.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Daniel is a knave if and only if Mia is a knave.", "Assume Ella is a knight. No contradiction is found in their claim that Luke is not a knight.", "Assume Riley is a knight. No contradiction is found in their claim that James is a knight or James is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 2), ('telling-truth', 2)), ('<=>', ('lying', 3), ('telling-truth', 1)), ('and', ('lying', 4), ('telling-truth', 4)), ('<=>', ('lying', 1), ('lying', 4)), ('->', ('telling-truth', 4), ('lying', 1)), ('not', ('telling-truth', 2)), ('or', ('telling-truth', 0), ('lying', 0)))", "index": 254}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Penelope, Sophia, James, Scarlett, Avery, Benjamin, and Samuel. In a statement by Penelope: \"James is a knave and Penelope is a knight\". Sophia expressed that If Samuel is a knave then James is a knave. James expressed that If Scarlett is a knave then Sophia is a knave. Scarlett noted, \"Benjamin is a knight or Avery is a knight\". Avery expressed that Benjamin is not a knave. \"Penelope is a knight,\" Benjamin declared. \"Penelope is a knight or James is a knight,\" Samuel mentioned. So who is a knight and who is a knave?", "names": ["Penelope", "Sophia", "James", "Scarlett", "Avery", "Benjamin", "Samuel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false, false, false, false], "solution_text": "Penelope is a knave, Sophia is a knight, James is a knave, Scarlett is a knave, Avery is a knave, Benjamin is a knave, and Samuel is a knave.", "solution_text_format": "(1) Penelope is a knave\n(2) Sophia is a knight\n(3) James is a knave\n(4) Scarlett is a knave\n(5) Avery is a knave\n(6) Benjamin is a knave\n(7) Samuel is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Penelope is a knight. No contradiction is found in their claim that James is a knave and Penelope is a knight.", "James cannot be a knight, because this would contradict the claim of Penelope that James is a knave and Penelope is a knight.", "Assume James is a knave. No contradiction is found in their false claim that If Scarlett is a knave then Sophia is a knave.", "Scarlett cannot be a knight, because this would contradict the false claim of James that If Scarlett is a knave then Sophia is a knave.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Benjamin is a knight or Avery is a knight.", "Benjamin cannot be a knight, because this would contradict the false claim of Scarlett that Benjamin is a knight or Avery is a knight.", "Benjamin cannot be a knave, because this would contradict the false claim of their own that Penelope is a knight.", "We have exhausted all possibilities for Benjamin, Scarlett, and James, so let us go back and reconsider Penelope.", "Assume Penelope is a knave. No contradiction is found in their false claim that James is a knave and Penelope is a knight.", "Assume James is a knight. No contradiction is found in their claim that If Scarlett is a knave then Sophia is a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that Benjamin is a knight or Avery is a knight.", "Benjamin cannot be a knight, because this would contradict the claim of their own that Penelope is a knight.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Penelope is a knight.", "Avery cannot be a knight, because this would contradict the claim of their own that Benjamin is not a knave.", "Avery cannot be a knave, because this would contradict the claim of Scarlett that Benjamin is a knight or Avery is a knight.", "We have exhausted all possibilities for Avery and Benjamin, so let us go back and reconsider Scarlett.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Benjamin is a knight or Avery is a knight.", "Benjamin cannot be a knight, because this would contradict the false claim of Scarlett that Benjamin is a knight or Avery is a knight.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Penelope is a knight.", "Avery cannot be a knight, because this would contradict the false claim of Scarlett that Benjamin is a knight or Avery is a knight.", "Assume Avery is a knave. No contradiction is found in their false claim that Benjamin is not a knave.", "Sophia cannot be a knight, because this would contradict the claim of James that If Scarlett is a knave then Sophia is a knave.", "Assume Sophia is a knave. No contradiction is found in their false claim that If Samuel is a knave then James is a knave.", "Samuel cannot be a knight, because this would contradict the false claim of Sophia that If Samuel is a knave then James is a knave.", "Samuel cannot be a knave, because this would contradict the false claim of their own that Penelope is a knight or James is a knight.", "We have exhausted all possibilities for Samuel, Sophia, Avery, Benjamin, and Scarlett, so let us go back and reconsider James.", "Assume James is a knave. No contradiction is found in their false claim that If Scarlett is a knave then Sophia is a knave.", "Scarlett cannot be a knight, because this would contradict the false claim of James that If Scarlett is a knave then Sophia is a knave.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Benjamin is a knight or Avery is a knight.", "Benjamin cannot be a knight, because this would contradict the false claim of Scarlett that Benjamin is a knight or Avery is a knight.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Penelope is a knight.", "Avery cannot be a knight, because this would contradict the false claim of Scarlett that Benjamin is a knight or Avery is a knight.", "Assume Avery is a knave. No contradiction is found in their false claim that Benjamin is not a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that If Samuel is a knave then James is a knave.", "Samuel cannot be a knight, because this would contradict the claim of their own that Penelope is a knight or James is a knight.", "Assume Samuel is a knave. No contradiction is found in their false claim that Penelope is a knight or James is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('telling-truth', 0)), ('->', ('lying', 6), ('lying', 2)), ('->', ('lying', 3), ('lying', 1)), ('or', ('telling-truth', 5), ('telling-truth', 4)), ('not', ('lying', 5)), ('telling-truth', 0), ('or', ('telling-truth', 0), ('telling-truth', 2)))", "index": 255}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Luke, Mia, Abigail, Sebastian, Benjamin, Zoey, and Jack. Luke stated, \"Benjamin is a knave\". \"If Zoey is a knight then Abigail is a knight,\" Mia claimed. Abigail noted, \"Zoey is a knight if and only if Sebastian is a knight\". \"Luke is a knight\" - Sebastian. Benjamin remarked, \"Abigail is a knight and Sebastian is a knight\". \"Zoey is a knight,\" Zoey declared. In a statement by Jack: \"Luke is not a knave\". So who is a knight and who is a knave?", "names": ["Luke", "Mia", "Abigail", "Sebastian", "Benjamin", "Zoey", "Jack"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true, false, false, true], "solution_text": "Luke is a knight, Mia is a knight, Abigail is a knave, Sebastian is a knight, Benjamin is a knave, Zoey is a knave, and Jack is a knight.", "solution_text_format": "(1) Luke is a knight\n(2) Mia is a knight\n(3) Abigail is a knave\n(4) Sebastian is a knight\n(5) Benjamin is a knave\n(6) Zoey is a knave\n(7) Jack is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Luke is a knight. No contradiction is found in their claim that Benjamin is a knave.", "Benjamin cannot be a knight, because this would contradict the claim of Luke that Benjamin is a knave.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Abigail is a knight and Sebastian is a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that Zoey is a knight if and only if Sebastian is a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that Zoey is a knight.", "Sebastian cannot be a knight, because this would contradict the false claim of Benjamin that Abigail is a knight and Sebastian is a knight.", "Sebastian cannot be a knave, because this would contradict the claim of Abigail that Zoey is a knight if and only if Sebastian is a knight.", "We have exhausted all possibilities for Sebastian, so let us go back and reconsider Zoey.", "Assume Zoey is a knave. No contradiction is found in their false claim that Zoey is a knight.", "Sebastian cannot be a knight, because this would contradict the claim of Abigail that Zoey is a knight if and only if Sebastian is a knight.", "Sebastian cannot be a knave, because this would contradict the false claim of their own that Luke is a knight.", "We have exhausted all possibilities for Sebastian and Zoey, so let us go back and reconsider Abigail.", "Assume Abigail is a knave. No contradiction is found in their false claim that Zoey is a knight if and only if Sebastian is a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that Zoey is a knight.", "Sebastian cannot be a knight, because this would contradict the false claim of Abigail that Zoey is a knight if and only if Sebastian is a knight.", "Sebastian cannot be a knave, because this would contradict the false claim of their own that Luke is a knight.", "We have exhausted all possibilities for Sebastian, so let us go back and reconsider Zoey.", "Assume Zoey is a knave. No contradiction is found in their false claim that Zoey is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Luke is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that If Zoey is a knight then Abigail is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that Luke is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 4), ('->', ('telling-truth', 5), ('telling-truth', 2)), ('<=>', ('telling-truth', 5), ('telling-truth', 3)), ('telling-truth', 0), ('and', ('telling-truth', 2), ('telling-truth', 3)), ('telling-truth', 5), ('not', ('lying', 0)))", "index": 256}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Lucas, Jacob, Liam, Scarlett, Samuel, Victoria, and Avery. Lucas said that If Samuel is a knight then Liam is a knave. Jacob was heard saying, \"Samuel is not a knave\". Liam stated, \"Jacob is a knight if and only if Scarlett is a knight\". According to Scarlett, \"Samuel is not a knave\". Samuel stated, \"Scarlett is a knight and Scarlett is a knave\". According to Victoria, \"Liam is a knave or Jacob is a knight\". As Avery put it, \"Lucas is a knave and Samuel is a knight\". So who is a knight and who is a knave?", "names": ["Lucas", "Jacob", "Liam", "Scarlett", "Samuel", "Victoria", "Avery"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false, false, false, false], "solution_text": "Lucas is a knight, Jacob is a knave, Liam is a knight, Scarlett is a knave, Samuel is a knave, Victoria is a knave, and Avery is a knave.", "solution_text_format": "(1) Lucas is a knight\n(2) Jacob is a knave\n(3) Liam is a knight\n(4) Scarlett is a knave\n(5) Samuel is a knave\n(6) Victoria is a knave\n(7) Avery is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Lucas is a knight. No contradiction is found in their claim that If Samuel is a knight then Liam is a knave.", "Samuel cannot be a knight, because this would contradict the claim of their own that Scarlett is a knight and Scarlett is a knave.", "Assume Samuel is a knave. No contradiction is found in their false claim that Scarlett is a knight and Scarlett is a knave.", "Scarlett cannot be a knight, because this would contradict the claim of their own that Samuel is not a knave.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Samuel is not a knave.", "Assume Liam is a knight. No contradiction is found in their claim that Jacob is a knight if and only if Scarlett is a knight.", "Jacob cannot be a knight, because this would contradict the claim of their own that Samuel is not a knave.", "Assume Jacob is a knave. No contradiction is found in their false claim that Samuel is not a knave.", "Victoria cannot be a knight, because this would contradict the claim of their own that Liam is a knave or Jacob is a knight.", "Assume Victoria is a knave. No contradiction is found in their false claim that Liam is a knave or Jacob is a knight.", "Avery cannot be a knight, because this would contradict the claim of their own that Lucas is a knave and Samuel is a knight.", "Assume Avery is a knave. No contradiction is found in their false claim that Lucas is a knave and Samuel is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 4), ('lying', 2)), ('not', ('lying', 4)), ('<=>', ('telling-truth', 1), ('telling-truth', 3)), ('not', ('lying', 4)), ('and', ('telling-truth', 3), ('lying', 3)), ('or', ('lying', 2), ('telling-truth', 1)), ('and', ('lying', 0), ('telling-truth', 4)))", "index": 257}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: David, Elizabeth, Oliver, Aiden, Ava, Emily, and Matthew. David was heard saying, \"Matthew is a knight or Aiden is a knave\". Elizabeth stated, \"Oliver is a knight\". As Oliver put it, \"David is not a knave\". Aiden remarked, \"David is a knight or Aiden is a knight\". \"Emily is a knave if and only if Oliver is a knight,\" Ava declared. Emily told you that Aiden is a knight if and only if David is a knight. Matthew commented, \"David is a knave or Aiden is a knight\". So who is a knight and who is a knave?", "names": ["David", "Elizabeth", "Oliver", "Aiden", "Ava", "Emily", "Matthew"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, false, true, true], "solution_text": "David is a knight, Elizabeth is a knight, Oliver is a knight, Aiden is a knight, Ava is a knave, Emily is a knight, and Matthew is a knight.", "solution_text_format": "(1) David is a knight\n(2) Elizabeth is a knight\n(3) Oliver is a knight\n(4) Aiden is a knight\n(5) Ava is a knave\n(6) Emily is a knight\n(7) Matthew is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume David is a knight. No contradiction is found in their claim that Matthew is a knight or Aiden is a knave.", "Assume Matthew is a knight. No contradiction is found in their claim that David is a knave or Aiden is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that David is a knight or Aiden is a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Oliver is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that David is not a knave.", "Assume Ava is a knight. No contradiction is found in their claim that Emily is a knave if and only if Oliver is a knight.", "Emily cannot be a knight, because this would contradict the claim of Ava that Emily is a knave if and only if Oliver is a knight.", "Emily cannot be a knave, because this would contradict the false claim of their own that Aiden is a knight if and only if David is a knight.", "We have exhausted all possibilities for Emily, so let us go back and reconsider Ava.", "Assume Ava is a knave. No contradiction is found in their false claim that Emily is a knave if and only if Oliver is a knight.", "Assume Emily is a knight. No contradiction is found in their claim that Aiden is a knight if and only if David is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 6), ('lying', 3)), ('telling-truth', 2), ('not', ('lying', 0)), ('or', ('telling-truth', 0), ('telling-truth', 3)), ('<=>', ('lying', 5), ('telling-truth', 2)), ('<=>', ('telling-truth', 3), ('telling-truth', 0)), ('or', ('lying', 0), ('telling-truth', 3)))", "index": 258}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Aria, Daniel, Mason, David, Mia, Elizabeth, and Scarlett. \"Elizabeth is a knight and Daniel is a knight,\" Aria claimed. In a statement by Daniel: \"If Elizabeth is a knight then Mia is a knight\". Mason was heard saying, \"David is a knight or David is a knave\". David asserted: \"Daniel is a knave and Scarlett is a knave\". Mia told you that Elizabeth is a knave and Daniel is a knight. Elizabeth said that If Mason is a knave then David is a knight. \"Mia is a knave if and only if Aria is a knight,\" Scarlett mentioned. So who is a knight and who is a knave?", "names": ["Aria", "Daniel", "Mason", "David", "Mia", "Elizabeth", "Scarlett"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true, false, true, false], "solution_text": "Aria is a knave, Daniel is a knave, Mason is a knight, David is a knight, Mia is a knave, Elizabeth is a knight, and Scarlett is a knave.", "solution_text_format": "(1) Aria is a knave\n(2) Daniel is a knave\n(3) Mason is a knight\n(4) David is a knight\n(5) Mia is a knave\n(6) Elizabeth is a knight\n(7) Scarlett is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aria is a knight. No contradiction is found in their claim that Elizabeth is a knight and Daniel is a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that If Mason is a knave then David is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that David is a knight or David is a knave.", "Assume David is a knight. No contradiction is found in their claim that Daniel is a knave and Scarlett is a knave.", "Daniel cannot be a knight, because this would contradict the claim of David that Daniel is a knave and Scarlett is a knave.", "Daniel cannot be a knave, because this would contradict the claim of Aria that Elizabeth is a knight and Daniel is a knight.", "We have exhausted all possibilities for Daniel, so let us go back and reconsider David.", "Assume David is a knave. No contradiction is found in their false claim that Daniel is a knave and Scarlett is a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that If Elizabeth is a knight then Mia is a knight.", "Mia cannot be a knight, because this would contradict the claim of their own that Elizabeth is a knave and Daniel is a knight.", "Mia cannot be a knave, because this would contradict the claim of Daniel that If Elizabeth is a knight then Mia is a knight.", "We have exhausted all possibilities for Mia, so let us go back and reconsider Daniel.", "Daniel cannot be a knave, because this would contradict the claim of Aria that Elizabeth is a knight and Daniel is a knight.", "We have exhausted all possibilities for Daniel and David, so let us go back and reconsider Mason.", "Mason cannot be a knave, because this would contradict the false claim of their own that David is a knight or David is a knave.", "We have exhausted all possibilities for Mason, so let us go back and reconsider Elizabeth.", "Elizabeth cannot be a knave, because this would contradict the claim of Aria that Elizabeth is a knight and Daniel is a knight.", "We have exhausted all possibilities for Elizabeth, so let us go back and reconsider Aria.", "Assume Aria is a knave. No contradiction is found in their false claim that Elizabeth is a knight and Daniel is a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that If Mason is a knave then David is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that David is a knight or David is a knave.", "Assume David is a knight. No contradiction is found in their claim that Daniel is a knave and Scarlett is a knave.", "Daniel cannot be a knight, because this would contradict the false claim of Aria that Elizabeth is a knight and Daniel is a knight.", "Assume Daniel is a knave. No contradiction is found in their false claim that If Elizabeth is a knight then Mia is a knight.", "Mia cannot be a knight, because this would contradict the false claim of Daniel that If Elizabeth is a knight then Mia is a knight.", "Assume Mia is a knave. No contradiction is found in their false claim that Elizabeth is a knave and Daniel is a knight.", "Scarlett cannot be a knight, because this would contradict the claim of David that Daniel is a knave and Scarlett is a knave.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Mia is a knave if and only if Aria is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 5), ('telling-truth', 1)), ('->', ('telling-truth', 5), ('telling-truth', 4)), ('or', ('telling-truth', 3), ('lying', 3)), ('and', ('lying', 1), ('lying', 6)), ('and', ('lying', 5), ('telling-truth', 1)), ('->', ('lying', 2), ('telling-truth', 3)), ('<=>', ('lying', 4), ('telling-truth', 0)))", "index": 259}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Michael, Sebastian, Jackson, Penelope, Noah, Isabella, and Zoey. Michael noted, \"Isabella is not a knave\". Sebastian noted, \"Noah is a knave or Isabella is a knave\". As Jackson put it, \"Noah is a knave and Sebastian is a knight\". \"Zoey is a knave\" - Penelope. \"If Sebastian is a knave then Noah is a knight\" - Noah. \"Michael is a knave if and only if Sebastian is a knight\" - Isabella. Zoey said, \"Sebastian is a knave or Michael is a knight.\" So who is a knight and who is a knave?", "names": ["Michael", "Sebastian", "Jackson", "Penelope", "Noah", "Isabella", "Zoey"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false, true, true, true], "solution_text": "Michael is a knight, Sebastian is a knave, Jackson is a knave, Penelope is a knave, Noah is a knight, Isabella is a knight, and Zoey is a knight.", "solution_text_format": "(1) Michael is a knight\n(2) Sebastian is a knave\n(3) Jackson is a knave\n(4) Penelope is a knave\n(5) Noah is a knight\n(6) Isabella is a knight\n(7) Zoey is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Michael is a knight. No contradiction is found in their claim that Isabella is not a knave.", "Assume Isabella is a knight. No contradiction is found in their claim that Michael is a knave if and only if Sebastian is a knight.", "Sebastian cannot be a knight, because this would contradict the claim of Isabella that Michael is a knave if and only if Sebastian is a knight.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Noah is a knave or Isabella is a knave.", "Assume Noah is a knight. No contradiction is found in their claim that If Sebastian is a knave then Noah is a knight.", "Jackson cannot be a knight, because this would contradict the claim of their own that Noah is a knave and Sebastian is a knight.", "Assume Jackson is a knave. No contradiction is found in their false claim that Noah is a knave and Sebastian is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that Zoey is a knave.", "Zoey cannot be a knight, because this would contradict the claim of Penelope that Zoey is a knave.", "Zoey cannot be a knave, because this would contradict the false claim of their own that Sebastian is a knave or Michael is a knight.", "We have exhausted all possibilities for Zoey, so let us go back and reconsider Penelope.", "Assume Penelope is a knave. No contradiction is found in their false claim that Zoey is a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that Sebastian is a knave or Michael is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 5)), ('or', ('lying', 4), ('lying', 5)), ('and', ('lying', 4), ('telling-truth', 1)), ('lying', 6), ('->', ('lying', 1), ('telling-truth', 4)), ('<=>', ('lying', 0), ('telling-truth', 1)), ('or', ('lying', 1), ('telling-truth', 0)))", "index": 260}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Penelope, Evelyn, Charlotte, Ella, Aiden, Aria, and Jackson. Penelope commented, \"Penelope is a knight\". Evelyn noted, \"Penelope is not a knave\". In Charlotte's words: \"Penelope is a knight or Aiden is a knight\". As Ella put it, \"Charlotte is a knight or Charlotte is a knave\". \"Jackson is a knave,\" Aiden claimed. \"Aiden is a knave and Jackson is a knave,\" Aria claimed. Jackson said that Charlotte is a knight and Ella is a knight. So who is a knight and who is a knave?", "names": ["Penelope", "Evelyn", "Charlotte", "Ella", "Aiden", "Aria", "Jackson"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, false, false, true], "solution_text": "Penelope is a knight, Evelyn is a knight, Charlotte is a knight, Ella is a knight, Aiden is a knave, Aria is a knave, and Jackson is a knight.", "solution_text_format": "(1) Penelope is a knight\n(2) Evelyn is a knight\n(3) Charlotte is a knight\n(4) Ella is a knight\n(5) Aiden is a knave\n(6) Aria is a knave\n(7) Jackson is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Penelope is a knight. No contradiction is found in their claim that Penelope is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that Penelope is not a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that Penelope is a knight or Aiden is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that Jackson is a knave.", "Jackson cannot be a knight, because this would contradict the claim of Aiden that Jackson is a knave.", "Assume Jackson is a knave. No contradiction is found in their false claim that Charlotte is a knight and Ella is a knight.", "Ella cannot be a knight, because this would contradict the false claim of Jackson that Charlotte is a knight and Ella is a knight.", "Ella cannot be a knave, because this would contradict the false claim of their own that Charlotte is a knight or Charlotte is a knave.", "We have exhausted all possibilities for Ella and Jackson, so let us go back and reconsider Aiden.", "Assume Aiden is a knave. No contradiction is found in their false claim that Jackson is a knave.", "Assume Jackson is a knight. No contradiction is found in their claim that Charlotte is a knight and Ella is a knight.", "Assume Ella is a knight. No contradiction is found in their claim that Charlotte is a knight or Charlotte is a knave.", "Aria cannot be a knight, because this would contradict the claim of their own that Aiden is a knave and Jackson is a knave.", "Assume Aria is a knave. No contradiction is found in their false claim that Aiden is a knave and Jackson is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 0), ('not', ('lying', 0)), ('or', ('telling-truth', 0), ('telling-truth', 4)), ('or', ('telling-truth', 2), ('lying', 2)), ('lying', 6), ('and', ('lying', 4), ('lying', 6)), ('and', ('telling-truth', 2), ('telling-truth', 3)))", "index": 261}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Logan, Aiden, David, Harper, Evelyn, Daniel, and Victoria. \"Aiden is a knight and Daniel is a knave,\" Logan claimed. Aiden was heard saying, \"Daniel is a knight if and only if David is a knight\". \"Victoria is a knight or Aiden is a knave\" - David. In Harper's words: \"Evelyn is a knave\". According to Evelyn, \"If Logan is a knight then Aiden is a knight\". \"David is not a knight,\" Daniel declared. Victoria said that Evelyn is not a knave. So who is a knight and who is a knave?", "names": ["Logan", "Aiden", "David", "Harper", "Evelyn", "Daniel", "Victoria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false, true, false, true], "solution_text": "Logan is a knave, Aiden is a knave, David is a knight, Harper is a knave, Evelyn is a knight, Daniel is a knave, and Victoria is a knight.", "solution_text_format": "(1) Logan is a knave\n(2) Aiden is a knave\n(3) David is a knight\n(4) Harper is a knave\n(5) Evelyn is a knight\n(6) Daniel is a knave\n(7) Victoria is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Logan is a knight. No contradiction is found in their claim that Aiden is a knight and Daniel is a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that Daniel is a knight if and only if David is a knight.", "Daniel cannot be a knight, because this would contradict the claim of Logan that Aiden is a knight and Daniel is a knave.", "Assume Daniel is a knave. No contradiction is found in their false claim that David is not a knight.", "David cannot be a knight, because this would contradict the claim of Aiden that Daniel is a knight if and only if David is a knight.", "David cannot be a knave, because this would contradict the false claim of Daniel that David is not a knight.", "We have exhausted all possibilities for David and Daniel, so let us go back and reconsider Aiden.", "Aiden cannot be a knave, because this would contradict the claim of Logan that Aiden is a knight and Daniel is a knave.", "We have exhausted all possibilities for Aiden, so let us go back and reconsider Logan.", "Assume Logan is a knave. No contradiction is found in their false claim that Aiden is a knight and Daniel is a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that Daniel is a knight if and only if David is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that David is not a knight.", "David cannot be a knight, because this would contradict the claim of Daniel that David is not a knight.", "David cannot be a knave, because this would contradict the claim of Aiden that Daniel is a knight if and only if David is a knight.", "We have exhausted all possibilities for David, so let us go back and reconsider Daniel.", "Daniel cannot be a knave, because this would contradict the false claim of Logan that Aiden is a knight and Daniel is a knave.", "We have exhausted all possibilities for Daniel, so let us go back and reconsider Aiden.", "Assume Aiden is a knave. No contradiction is found in their false claim that Daniel is a knight if and only if David is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that David is not a knight.", "David cannot be a knight, because this would contradict the false claim of Aiden that Daniel is a knight if and only if David is a knight.", "David cannot be a knave, because this would contradict the false claim of their own that Victoria is a knight or Aiden is a knave.", "We have exhausted all possibilities for David, so let us go back and reconsider Daniel.", "Assume Daniel is a knave. No contradiction is found in their false claim that David is not a knight.", "Assume David is a knight. No contradiction is found in their claim that Victoria is a knight or Aiden is a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that Evelyn is not a knave.", "Assume Evelyn is a knight. No contradiction is found in their claim that If Logan is a knight then Aiden is a knight.", "Harper cannot be a knight, because this would contradict the claim of their own that Evelyn is a knave.", "Assume Harper is a knave. No contradiction is found in their false claim that Evelyn is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('lying', 5)), ('<=>', ('telling-truth', 5), ('telling-truth', 2)), ('or', ('telling-truth', 6), ('lying', 1)), ('lying', 4), ('->', ('telling-truth', 0), ('telling-truth', 1)), ('not', ('telling-truth', 2)), ('not', ('lying', 4)))", "index": 262}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Jack, William, Henry, Mason, Owen, Elizabeth, and Benjamin. \"Elizabeth is not a knave\" - Jack. William remarked, \"If William is a knight then Elizabeth is a knight\". Henry expressed that Henry is a knight and Jack is a knave. \"Jack is a knight,\" Mason mentioned. In a statement by Owen: \"Owen is a knight and William is a knave\". Elizabeth asserted: \"If Jack is a knave then Mason is a knave\". Benjamin noted, \"William is a knave\". So who is a knight and who is a knave?", "names": ["Jack", "William", "Henry", "Mason", "Owen", "Elizabeth", "Benjamin"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true, false, true, false], "solution_text": "Jack is a knight, William is a knight, Henry is a knave, Mason is a knight, Owen is a knave, Elizabeth is a knight, and Benjamin is a knave.", "solution_text_format": "(1) Jack is a knight\n(2) William is a knight\n(3) Henry is a knave\n(4) Mason is a knight\n(5) Owen is a knave\n(6) Elizabeth is a knight\n(7) Benjamin is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jack is a knight. No contradiction is found in their claim that Elizabeth is not a knave.", "Assume Elizabeth is a knight. No contradiction is found in their claim that If Jack is a knave then Mason is a knave.", "Assume Mason is a knight. No contradiction is found in their claim that Jack is a knight.", "Assume William is a knight. No contradiction is found in their claim that If William is a knight then Elizabeth is a knight.", "Henry cannot be a knight, because this would contradict the claim of their own that Henry is a knight and Jack is a knave.", "Assume Henry is a knave. No contradiction is found in their false claim that Henry is a knight and Jack is a knave.", "Owen cannot be a knight, because this would contradict the claim of their own that Owen is a knight and William is a knave.", "Assume Owen is a knave. No contradiction is found in their false claim that Owen is a knight and William is a knave.", "Benjamin cannot be a knight, because this would contradict the claim of their own that William is a knave.", "Assume Benjamin is a knave. No contradiction is found in their false claim that William is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 5)), ('->', ('telling-truth', 1), ('telling-truth', 5)), ('and', ('telling-truth', 2), ('lying', 0)), ('telling-truth', 0), ('and', ('telling-truth', 4), ('lying', 1)), ('->', ('lying', 0), ('lying', 3)), ('lying', 1))", "index": 263}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Isabella, Henry, Mason, Michael, Olivia, Victoria, and Liam. \"Mason is a knight and Liam is a knave,\" Isabella claimed. Henry said, \"If Michael is a knight then Victoria is a knight.\" In Mason's words: \"Michael is a knight if and only if Victoria is a knave\". \"Victoria is a knight\" - Michael. \"Henry is not a knave,\" Olivia claimed. Victoria told you that Henry is a knave and Olivia is a knight. Liam noted, \"Michael is a knight or Olivia is a knave\". So who is a knight and who is a knave?", "names": ["Isabella", "Henry", "Mason", "Michael", "Olivia", "Victoria", "Liam"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false, true, false, false], "solution_text": "Isabella is a knave, Henry is a knight, Mason is a knave, Michael is a knave, Olivia is a knight, Victoria is a knave, and Liam is a knave.", "solution_text_format": "(1) Isabella is a knave\n(2) Henry is a knight\n(3) Mason is a knave\n(4) Michael is a knave\n(5) Olivia is a knight\n(6) Victoria is a knave\n(7) Liam is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Isabella is a knight. No contradiction is found in their claim that Mason is a knight and Liam is a knave.", "Assume Mason is a knight. No contradiction is found in their claim that Michael is a knight if and only if Victoria is a knave.", "Assume Michael is a knight. No contradiction is found in their claim that Victoria is a knight.", "Victoria cannot be a knight, because this would contradict the claim of Mason that Michael is a knight if and only if Victoria is a knave.", "Victoria cannot be a knave, because this would contradict the claim of Michael that Victoria is a knight.", "We have exhausted all possibilities for Victoria, so let us go back and reconsider Michael.", "Assume Michael is a knave. No contradiction is found in their false claim that Victoria is a knight.", "Victoria cannot be a knight, because this would contradict the false claim of Michael that Victoria is a knight.", "Victoria cannot be a knave, because this would contradict the claim of Mason that Michael is a knight if and only if Victoria is a knave.", "We have exhausted all possibilities for Victoria and Michael, so let us go back and reconsider Mason.", "Mason cannot be a knave, because this would contradict the claim of Isabella that Mason is a knight and Liam is a knave.", "We have exhausted all possibilities for Mason, so let us go back and reconsider Isabella.", "Assume Isabella is a knave. No contradiction is found in their false claim that Mason is a knight and Liam is a knave.", "Assume Mason is a knight. No contradiction is found in their claim that Michael is a knight if and only if Victoria is a knave.", "Assume Michael is a knight. No contradiction is found in their claim that Victoria is a knight.", "Victoria cannot be a knight, because this would contradict the claim of Mason that Michael is a knight if and only if Victoria is a knave.", "Victoria cannot be a knave, because this would contradict the claim of Michael that Victoria is a knight.", "We have exhausted all possibilities for Victoria, so let us go back and reconsider Michael.", "Assume Michael is a knave. No contradiction is found in their false claim that Victoria is a knight.", "Victoria cannot be a knight, because this would contradict the false claim of Michael that Victoria is a knight.", "Victoria cannot be a knave, because this would contradict the claim of Mason that Michael is a knight if and only if Victoria is a knave.", "We have exhausted all possibilities for Victoria and Michael, so let us go back and reconsider Mason.", "Assume Mason is a knave. No contradiction is found in their false claim that Michael is a knight if and only if Victoria is a knave.", "Assume Michael is a knight. No contradiction is found in their claim that Victoria is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that Henry is a knave and Olivia is a knight.", "Henry cannot be a knight, because this would contradict the claim of Victoria that Henry is a knave and Olivia is a knight.", "Henry cannot be a knave, because this would contradict the false claim of their own that If Michael is a knight then Victoria is a knight.", "We have exhausted all possibilities for Henry, so let us go back and reconsider Victoria.", "Victoria cannot be a knave, because this would contradict the false claim of Mason that Michael is a knight if and only if Victoria is a knave.", "We have exhausted all possibilities for Victoria, so let us go back and reconsider Michael.", "Assume Michael is a knave. No contradiction is found in their false claim that Victoria is a knight.", "Victoria cannot be a knight, because this would contradict the false claim of Mason that Michael is a knight if and only if Victoria is a knave.", "Assume Victoria is a knave. No contradiction is found in their false claim that Henry is a knave and Olivia is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that If Michael is a knight then Victoria is a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that Henry is not a knave.", "Liam cannot be a knight, because this would contradict the claim of their own that Michael is a knight or Olivia is a knave.", "Assume Liam is a knave. No contradiction is found in their false claim that Michael is a knight or Olivia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 2), ('lying', 6)), ('->', ('telling-truth', 3), ('telling-truth', 5)), ('<=>', ('telling-truth', 3), ('lying', 5)), ('telling-truth', 5), ('not', ('lying', 1)), ('and', ('lying', 1), ('telling-truth', 4)), ('or', ('telling-truth', 3), ('lying', 4)))", "index": 264}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Owen, Charlotte, Sebastian, Harper, Michael, Victoria, and Mason. \"Charlotte is not a knight\" - Owen. Charlotte said that Mason is a knight if and only if Victoria is a knight. Sebastian commented, \"Victoria is a knave\". \"Owen is a knave and Charlotte is a knight,\" Harper declared. According to Michael, \"Victoria is a knight\". As Victoria put it, \"Michael is a knave and Charlotte is a knight\". Mason remarked, \"Michael is a knave or Charlotte is a knave\". So who is a knight and who is a knave?", "names": ["Owen", "Charlotte", "Sebastian", "Harper", "Michael", "Victoria", "Mason"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false, false, false, true], "solution_text": "Owen is a knight, Charlotte is a knave, Sebastian is a knight, Harper is a knave, Michael is a knave, Victoria is a knave, and Mason is a knight.", "solution_text_format": "(1) Owen is a knight\n(2) Charlotte is a knave\n(3) Sebastian is a knight\n(4) Harper is a knave\n(5) Michael is a knave\n(6) Victoria is a knave\n(7) Mason is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Owen is a knight. No contradiction is found in their claim that Charlotte is not a knight.", "Charlotte cannot be a knight, because this would contradict the claim of Owen that Charlotte is not a knight.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Mason is a knight if and only if Victoria is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that Michael is a knave or Charlotte is a knave.", "Assume Michael is a knight. No contradiction is found in their claim that Victoria is a knight.", "Victoria cannot be a knight, because this would contradict the false claim of Charlotte that Mason is a knight if and only if Victoria is a knight.", "Victoria cannot be a knave, because this would contradict the claim of Michael that Victoria is a knight.", "We have exhausted all possibilities for Victoria, so let us go back and reconsider Michael.", "Assume Michael is a knave. No contradiction is found in their false claim that Victoria is a knight.", "Victoria cannot be a knight, because this would contradict the false claim of Charlotte that Mason is a knight if and only if Victoria is a knight.", "Assume Victoria is a knave. No contradiction is found in their false claim that Michael is a knave and Charlotte is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Victoria is a knave.", "Harper cannot be a knight, because this would contradict the claim of their own that Owen is a knave and Charlotte is a knight.", "Assume Harper is a knave. No contradiction is found in their false claim that Owen is a knave and Charlotte is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('<=>', ('telling-truth', 6), ('telling-truth', 5)), ('lying', 5), ('and', ('lying', 0), ('telling-truth', 1)), ('telling-truth', 5), ('and', ('lying', 4), ('telling-truth', 1)), ('or', ('lying', 4), ('lying', 1)))", "index": 265}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Emily, Mia, Owen, Ava, Olivia, David, and Zoey. Emily asserted: \"Emily is a knight and Ava is a knave\". Mia told you that Owen is a knight if and only if Ava is a knave. According to Owen, \"Mia is a knave and David is a knight\". As Ava put it, \"Ava is a knight if and only if Mia is a knight\". Olivia asserted: \"Owen is a knight\". David commented, \"David is a knight or Owen is a knave\". Zoey commented, \"Emily is a knave\". So who is a knight and who is a knave?", "names": ["Emily", "Mia", "Owen", "Ava", "Olivia", "David", "Zoey"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true, false, true, true], "solution_text": "Emily is a knave, Mia is a knight, Owen is a knave, Ava is a knight, Olivia is a knave, David is a knight, and Zoey is a knight.", "solution_text_format": "(1) Emily is a knave\n(2) Mia is a knight\n(3) Owen is a knave\n(4) Ava is a knight\n(5) Olivia is a knave\n(6) David is a knight\n(7) Zoey is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Emily is a knight. No contradiction is found in their claim that Emily is a knight and Ava is a knave.", "Ava cannot be a knight, because this would contradict the claim of Emily that Emily is a knight and Ava is a knave.", "Assume Ava is a knave. No contradiction is found in their false claim that Ava is a knight if and only if Mia is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that Owen is a knight if and only if Ava is a knave.", "Owen cannot be a knight, because this would contradict the claim of their own that Mia is a knave and David is a knight.", "Owen cannot be a knave, because this would contradict the claim of Mia that Owen is a knight if and only if Ava is a knave.", "We have exhausted all possibilities for Owen, so let us go back and reconsider Mia.", "Mia cannot be a knave, because this would contradict the false claim of Ava that Ava is a knight if and only if Mia is a knight.", "We have exhausted all possibilities for Mia and Ava, so let us go back and reconsider Emily.", "Assume Emily is a knave. No contradiction is found in their false claim that Emily is a knight and Ava is a knave.", "Assume Ava is a knight. No contradiction is found in their claim that Ava is a knight if and only if Mia is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that Owen is a knight if and only if Ava is a knave.", "Owen cannot be a knight, because this would contradict the claim of Mia that Owen is a knight if and only if Ava is a knave.", "Assume Owen is a knave. No contradiction is found in their false claim that Mia is a knave and David is a knight.", "Assume David is a knight. No contradiction is found in their claim that David is a knight or Owen is a knave.", "Olivia cannot be a knight, because this would contradict the claim of their own that Owen is a knight.", "Assume Olivia is a knave. No contradiction is found in their false claim that Owen is a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that Emily is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 0), ('lying', 3)), ('<=>', ('telling-truth', 2), ('lying', 3)), ('and', ('lying', 1), ('telling-truth', 5)), ('<=>', ('telling-truth', 3), ('telling-truth', 1)), ('telling-truth', 2), ('or', ('telling-truth', 5), ('lying', 2)), ('lying', 0))", "index": 266}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Mason, Alexander, Lily, David, Evelyn, Joseph, and Penelope. \"Joseph is a knight or Evelyn is a knave,\" Mason claimed. \"Alexander is a knight if and only if Joseph is a knave,\" Alexander declared. Lily commented, \"Penelope is a knave and Alexander is a knave\". \"If Penelope is a knave then Alexander is a knight,\" David mentioned. Evelyn expressed that If Lily is a knight then David is a knave. Joseph noted, \"David is a knight if and only if Penelope is a knave\". Penelope noted, \"Evelyn is a knave\". So who is a knight and who is a knave?", "names": ["Mason", "Alexander", "Lily", "David", "Evelyn", "Joseph", "Penelope"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false, true, false, false], "solution_text": "Mason is a knave, Alexander is a knave, Lily is a knight, David is a knave, Evelyn is a knight, Joseph is a knave, and Penelope is a knave.", "solution_text_format": "(1) Mason is a knave\n(2) Alexander is a knave\n(3) Lily is a knight\n(4) David is a knave\n(5) Evelyn is a knight\n(6) Joseph is a knave\n(7) Penelope is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Mason is a knight. No contradiction is found in their claim that Joseph is a knight or Evelyn is a knave.", "Assume Joseph is a knight. No contradiction is found in their claim that David is a knight if and only if Penelope is a knave.", "Assume David is a knight. No contradiction is found in their claim that If Penelope is a knave then Alexander is a knight.", "Penelope cannot be a knight, because this would contradict the claim of Joseph that David is a knight if and only if Penelope is a knave.", "Assume Penelope is a knave. No contradiction is found in their false claim that Evelyn is a knave.", "Assume Evelyn is a knight. No contradiction is found in their claim that If Lily is a knight then David is a knave.", "Lily cannot be a knight, because this would contradict the claim of Evelyn that If Lily is a knight then David is a knave.", "Assume Lily is a knave. No contradiction is found in their false claim that Penelope is a knave and Alexander is a knave.", "Alexander cannot be a knight, because this would contradict the claim of their own that Alexander is a knight if and only if Joseph is a knave.", "Alexander cannot be a knave, because this would contradict the false claim of their own that Alexander is a knight if and only if Joseph is a knave.", "We have exhausted all possibilities for Alexander and Lily, so let us go back and reconsider Evelyn.", "Evelyn cannot be a knave, because this would contradict the false claim of Penelope that Evelyn is a knave.", "We have exhausted all possibilities for Evelyn and Penelope, so let us go back and reconsider David.", "Assume David is a knave. No contradiction is found in their false claim that If Penelope is a knave then Alexander is a knight.", "Penelope cannot be a knight, because this would contradict the false claim of David that If Penelope is a knave then Alexander is a knight.", "Penelope cannot be a knave, because this would contradict the claim of Joseph that David is a knight if and only if Penelope is a knave.", "We have exhausted all possibilities for Penelope and David, so let us go back and reconsider Joseph.", "Assume Joseph is a knave. No contradiction is found in their false claim that David is a knight if and only if Penelope is a knave.", "Assume David is a knight. No contradiction is found in their claim that If Penelope is a knave then Alexander is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that Evelyn is a knave.", "Evelyn cannot be a knight, because this would contradict the claim of Mason that Joseph is a knight or Evelyn is a knave.", "Assume Evelyn is a knave. No contradiction is found in their false claim that If Lily is a knight then David is a knave.", "Lily cannot be a knight, because this would contradict the claim of their own that Penelope is a knave and Alexander is a knave.", "Lily cannot be a knave, because this would contradict the false claim of Evelyn that If Lily is a knight then David is a knave.", "We have exhausted all possibilities for Lily and Evelyn, so let us go back and reconsider Penelope.", "Penelope cannot be a knave, because this would contradict the false claim of Joseph that David is a knight if and only if Penelope is a knave.", "We have exhausted all possibilities for Penelope, so let us go back and reconsider David.", "Assume David is a knave. No contradiction is found in their false claim that If Penelope is a knave then Alexander is a knight.", "Penelope cannot be a knight, because this would contradict the false claim of David that If Penelope is a knave then Alexander is a knight.", "Assume Penelope is a knave. No contradiction is found in their false claim that Evelyn is a knave.", "Evelyn cannot be a knight, because this would contradict the claim of Mason that Joseph is a knight or Evelyn is a knave.", "Evelyn cannot be a knave, because this would contradict the false claim of their own that If Lily is a knight then David is a knave.", "We have exhausted all possibilities for Evelyn, Penelope, David, and Joseph, so let us go back and reconsider Mason.", "Assume Mason is a knave. No contradiction is found in their false claim that Joseph is a knight or Evelyn is a knave.", "Joseph cannot be a knight, because this would contradict the false claim of Mason that Joseph is a knight or Evelyn is a knave.", "Assume Joseph is a knave. No contradiction is found in their false claim that David is a knight if and only if Penelope is a knave.", "Assume David is a knight. No contradiction is found in their claim that If Penelope is a knave then Alexander is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that Evelyn is a knave.", "Evelyn cannot be a knight, because this would contradict the claim of Penelope that Evelyn is a knave.", "Evelyn cannot be a knave, because this would contradict the false claim of Mason that Joseph is a knight or Evelyn is a knave.", "We have exhausted all possibilities for Evelyn, so let us go back and reconsider Penelope.", "Penelope cannot be a knave, because this would contradict the false claim of Joseph that David is a knight if and only if Penelope is a knave.", "We have exhausted all possibilities for Penelope, so let us go back and reconsider David.", "Assume David is a knave. No contradiction is found in their false claim that If Penelope is a knave then Alexander is a knight.", "Penelope cannot be a knight, because this would contradict the false claim of David that If Penelope is a knave then Alexander is a knight.", "Assume Penelope is a knave. No contradiction is found in their false claim that Evelyn is a knave.", "Assume Evelyn is a knight. No contradiction is found in their claim that If Lily is a knight then David is a knave.", "Assume Lily is a knight. No contradiction is found in their claim that Penelope is a knave and Alexander is a knave.", "Alexander cannot be a knight, because this would contradict the claim of Lily that Penelope is a knave and Alexander is a knave.", "Assume Alexander is a knave. No contradiction is found in their false claim that Alexander is a knight if and only if Joseph is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 5), ('lying', 4)), ('<=>', ('telling-truth', 1), ('lying', 5)), ('and', ('lying', 6), ('lying', 1)), ('->', ('lying', 6), ('telling-truth', 1)), ('->', ('telling-truth', 2), ('lying', 3)), ('<=>', ('telling-truth', 3), ('lying', 6)), ('lying', 4))", "index": 267}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Jackson, James, Logan, Sofia, David, Joseph, and Ethan. Jackson remarked, \"David is a knave or David is a knight\". James remarked, \"James is a knight or Sofia is a knave\". Logan commented, \"David is a knave and Sofia is a knight\". \"Logan is a knave and Ethan is a knave\" - Sofia. David said that Joseph is a knave. Joseph told you that James is a knave or Sofia is a knave. Ethan remarked, \"Logan is not a knave\". So who is a knight and who is a knave?", "names": ["Jackson", "James", "Logan", "Sofia", "David", "Joseph", "Ethan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true, true, false, false], "solution_text": "Jackson is a knight, James is a knight, Logan is a knave, Sofia is a knight, David is a knight, Joseph is a knave, and Ethan is a knave.", "solution_text_format": "(1) Jackson is a knight\n(2) James is a knight\n(3) Logan is a knave\n(4) Sofia is a knight\n(5) David is a knight\n(6) Joseph is a knave\n(7) Ethan is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jackson is a knight. No contradiction is found in their claim that David is a knave or David is a knight.", "Assume David is a knight. No contradiction is found in their claim that Joseph is a knave.", "Joseph cannot be a knight, because this would contradict the claim of David that Joseph is a knave.", "Assume Joseph is a knave. No contradiction is found in their false claim that James is a knave or Sofia is a knave.", "Assume James is a knight. No contradiction is found in their claim that James is a knight or Sofia is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that Logan is a knave and Ethan is a knave.", "Logan cannot be a knight, because this would contradict the claim of their own that David is a knave and Sofia is a knight.", "Assume Logan is a knave. No contradiction is found in their false claim that David is a knave and Sofia is a knight.", "Ethan cannot be a knight, because this would contradict the claim of Sofia that Logan is a knave and Ethan is a knave.", "Assume Ethan is a knave. No contradiction is found in their false claim that Logan is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 4), ('telling-truth', 4)), ('or', ('telling-truth', 1), ('lying', 3)), ('and', ('lying', 4), ('telling-truth', 3)), ('and', ('lying', 2), ('lying', 6)), ('lying', 5), ('or', ('lying', 1), ('lying', 3)), ('not', ('lying', 2)))", "index": 268}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: William, Ella, Aria, Michael, Grace, Ava, and James. In a statement by William: \"Ava is a knight\". Ella stated, \"James is not a knave\". \"James is a knave if and only if Grace is a knave,\" Aria declared. Michael stated, \"If William is a knight then Ava is a knave\". Grace remarked, \"Michael is a knave or Ava is a knave\". Ava remarked, \"Aria is a knight and Michael is a knight\". James was heard saying, \"William is a knight\". So who is a knight and who is a knave?", "names": ["William", "Ella", "Aria", "Michael", "Grace", "Ava", "James"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true, true, false, false], "solution_text": "William is a knave, Ella is a knave, Aria is a knave, Michael is a knight, Grace is a knight, Ava is a knave, and James is a knave.", "solution_text_format": "(1) William is a knave\n(2) Ella is a knave\n(3) Aria is a knave\n(4) Michael is a knight\n(5) Grace is a knight\n(6) Ava is a knave\n(7) James is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume William is a knight. No contradiction is found in their claim that Ava is a knight.", "Assume Ava is a knight. No contradiction is found in their claim that Aria is a knight and Michael is a knight.", "Assume Aria is a knight. No contradiction is found in their claim that James is a knave if and only if Grace is a knave.", "Assume James is a knight. No contradiction is found in their claim that William is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that Michael is a knave or Ava is a knave.", "Michael cannot be a knight, because this would contradict the claim of their own that If William is a knight then Ava is a knave.", "Michael cannot be a knave, because this would contradict the claim of Ava that Aria is a knight and Michael is a knight.", "We have exhausted all possibilities for Michael, so let us go back and reconsider Grace.", "Grace cannot be a knave, because this would contradict the claim of Aria that James is a knave if and only if Grace is a knave.", "We have exhausted all possibilities for Grace, so let us go back and reconsider James.", "James cannot be a knave, because this would contradict the false claim of their own that William is a knight.", "We have exhausted all possibilities for James, so let us go back and reconsider Aria.", "Aria cannot be a knave, because this would contradict the claim of Ava that Aria is a knight and Michael is a knight.", "We have exhausted all possibilities for Aria, so let us go back and reconsider Ava.", "Ava cannot be a knave, because this would contradict the claim of William that Ava is a knight.", "We have exhausted all possibilities for Ava, so let us go back and reconsider William.", "Assume William is a knave. No contradiction is found in their false claim that Ava is a knight.", "Ava cannot be a knight, because this would contradict the false claim of William that Ava is a knight.", "Assume Ava is a knave. No contradiction is found in their false claim that Aria is a knight and Michael is a knight.", "Assume Aria is a knight. No contradiction is found in their claim that James is a knave if and only if Grace is a knave.", "James cannot be a knight, because this would contradict the claim of their own that William is a knight.", "Assume James is a knave. No contradiction is found in their false claim that William is a knight.", "Grace cannot be a knight, because this would contradict the claim of Aria that James is a knave if and only if Grace is a knave.", "Grace cannot be a knave, because this would contradict the false claim of their own that Michael is a knave or Ava is a knave.", "We have exhausted all possibilities for Grace and James, so let us go back and reconsider Aria.", "Assume Aria is a knave. No contradiction is found in their false claim that James is a knave if and only if Grace is a knave.", "James cannot be a knight, because this would contradict the claim of their own that William is a knight.", "Assume James is a knave. No contradiction is found in their false claim that William is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that Michael is a knave or Ava is a knave.", "Assume Michael is a knight. No contradiction is found in their claim that If William is a knight then Ava is a knave.", "Ella cannot be a knight, because this would contradict the claim of their own that James is not a knave.", "Assume Ella is a knave. No contradiction is found in their false claim that James is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 5), ('not', ('lying', 6)), ('<=>', ('lying', 6), ('lying', 4)), ('->', ('telling-truth', 0), ('lying', 5)), ('or', ('lying', 3), ('lying', 5)), ('and', ('telling-truth', 2), ('telling-truth', 3)), ('telling-truth', 0))", "index": 269}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Elizabeth, Grace, Daniel, Sofia, Logan, Ella, and Alexander. As Elizabeth put it, \"Daniel is a knight and Daniel is a knave\". In a statement by Grace: \"Sofia is a knave\". Daniel told you that Alexander is a knight. In Sofia's words: \"Elizabeth is not a knight\". Logan remarked, \"Sofia is a knight\". Ella said that Grace is a knave if and only if Elizabeth is a knight. Alexander said, \"Ella is a knight.\" So who is a knight and who is a knave?", "names": ["Elizabeth", "Grace", "Daniel", "Sofia", "Logan", "Ella", "Alexander"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true, true, false, false], "solution_text": "Elizabeth is a knave, Grace is a knave, Daniel is a knave, Sofia is a knight, Logan is a knight, Ella is a knave, and Alexander is a knave.", "solution_text_format": "(1) Elizabeth is a knave\n(2) Grace is a knave\n(3) Daniel is a knave\n(4) Sofia is a knight\n(5) Logan is a knight\n(6) Ella is a knave\n(7) Alexander is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Elizabeth cannot be a knight, because this would contradict the claim of their own that Daniel is a knight and Daniel is a knave.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Daniel is a knight and Daniel is a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that Alexander is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that Ella is a knight.", "Assume Ella is a knight. No contradiction is found in their claim that Grace is a knave if and only if Elizabeth is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that Sofia is a knave.", "Sofia cannot be a knight, because this would contradict the claim of Grace that Sofia is a knave.", "Sofia cannot be a knave, because this would contradict the false claim of their own that Elizabeth is not a knight.", "We have exhausted all possibilities for Sofia, so let us go back and reconsider Grace.", "Grace cannot be a knave, because this would contradict the claim of Ella that Grace is a knave if and only if Elizabeth is a knight.", "We have exhausted all possibilities for Grace, so let us go back and reconsider Ella.", "Ella cannot be a knave, because this would contradict the claim of Alexander that Ella is a knight.", "We have exhausted all possibilities for Ella, so let us go back and reconsider Alexander.", "Alexander cannot be a knave, because this would contradict the claim of Daniel that Alexander is a knight.", "We have exhausted all possibilities for Alexander, so let us go back and reconsider Daniel.", "Assume Daniel is a knave. No contradiction is found in their false claim that Alexander is a knight.", "Alexander cannot be a knight, because this would contradict the false claim of Daniel that Alexander is a knight.", "Assume Alexander is a knave. No contradiction is found in their false claim that Ella is a knight.", "Ella cannot be a knight, because this would contradict the false claim of Alexander that Ella is a knight.", "Assume Ella is a knave. No contradiction is found in their false claim that Grace is a knave if and only if Elizabeth is a knight.", "Grace cannot be a knight, because this would contradict the false claim of Ella that Grace is a knave if and only if Elizabeth is a knight.", "Assume Grace is a knave. No contradiction is found in their false claim that Sofia is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that Elizabeth is not a knight.", "Assume Logan is a knight. No contradiction is found in their claim that Sofia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 2), ('lying', 2)), ('lying', 3), ('telling-truth', 6), ('not', ('telling-truth', 0)), ('telling-truth', 3), ('<=>', ('lying', 1), ('telling-truth', 0)), ('telling-truth', 5))", "index": 270}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Joseph, Logan, Lily, Sofia, James, Lucas, and Owen. \"Sofia is a knave,\" Joseph mentioned. Logan commented, \"Logan is a knight or Sofia is a knight\". Lily asserted: \"Joseph is a knight if and only if James is a knight\". Sofia remarked, \"If Owen is a knave then Joseph is a knight\". \"Lucas is a knight if and only if Logan is a knave,\" James mentioned. In a statement by Lucas: \"Sofia is a knave and Joseph is a knave\". Owen said that Lucas is a knave. So who is a knight and who is a knave?", "names": ["Joseph", "Logan", "Lily", "Sofia", "James", "Lucas", "Owen"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true, true, false, true], "solution_text": "Joseph is a knave, Logan is a knight, Lily is a knave, Sofia is a knight, James is a knight, Lucas is a knave, and Owen is a knight.", "solution_text_format": "(1) Joseph is a knave\n(2) Logan is a knight\n(3) Lily is a knave\n(4) Sofia is a knight\n(5) James is a knight\n(6) Lucas is a knave\n(7) Owen is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Joseph is a knight. No contradiction is found in their claim that Sofia is a knave.", "Sofia cannot be a knight, because this would contradict the claim of Joseph that Sofia is a knave.", "Sofia cannot be a knave, because this would contradict the false claim of their own that If Owen is a knave then Joseph is a knight.", "We have exhausted all possibilities for Sofia, so let us go back and reconsider Joseph.", "Assume Joseph is a knave. No contradiction is found in their false claim that Sofia is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that If Owen is a knave then Joseph is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that Lucas is a knave.", "Lucas cannot be a knight, because this would contradict the claim of their own that Sofia is a knave and Joseph is a knave.", "Assume Lucas is a knave. No contradiction is found in their false claim that Sofia is a knave and Joseph is a knave.", "Assume Logan is a knight. No contradiction is found in their claim that Logan is a knight or Sofia is a knight.", "Assume Lily is a knight. No contradiction is found in their claim that Joseph is a knight if and only if James is a knight.", "James cannot be a knight, because this would contradict the claim of Lily that Joseph is a knight if and only if James is a knight.", "James cannot be a knave, because this would contradict the false claim of their own that Lucas is a knight if and only if Logan is a knave.", "We have exhausted all possibilities for James, so let us go back and reconsider Lily.", "Assume Lily is a knave. No contradiction is found in their false claim that Joseph is a knight if and only if James is a knight.", "Assume James is a knight. No contradiction is found in their claim that Lucas is a knight if and only if Logan is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 3), ('or', ('telling-truth', 1), ('telling-truth', 3)), ('<=>', ('telling-truth', 0), ('telling-truth', 4)), ('->', ('lying', 6), ('telling-truth', 0)), ('<=>', ('telling-truth', 5), ('lying', 1)), ('and', ('lying', 3), ('lying', 0)), ('lying', 5))", "index": 271}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Penelope, Noah, Lucas, Benjamin, Jackson, Lily, and Charlotte. Penelope was heard saying, \"Lily is a knight or Penelope is a knight\". According to Noah, \"Charlotte is a knave and Jackson is a knave\". Lucas said that Penelope is a knight. In a statement by Benjamin: \"If Charlotte is a knave then Penelope is a knight\". In a statement by Jackson: \"Penelope is a knight or Lucas is a knave\". As Lily put it, \"Jackson is a knave if and only if Benjamin is a knave\". Charlotte said that Jackson is a knight or Lucas is a knight. So who is a knight and who is a knave?", "names": ["Penelope", "Noah", "Lucas", "Benjamin", "Jackson", "Lily", "Charlotte"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, true, true, true], "solution_text": "Penelope is a knight, Noah is a knave, Lucas is a knight, Benjamin is a knight, Jackson is a knight, Lily is a knight, and Charlotte is a knight.", "solution_text_format": "(1) Penelope is a knight\n(2) Noah is a knave\n(3) Lucas is a knight\n(4) Benjamin is a knight\n(5) Jackson is a knight\n(6) Lily is a knight\n(7) Charlotte is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Penelope is a knight. No contradiction is found in their claim that Lily is a knight or Penelope is a knight.", "Assume Lily is a knight. No contradiction is found in their claim that Jackson is a knave if and only if Benjamin is a knave.", "Assume Jackson is a knight. No contradiction is found in their claim that Penelope is a knight or Lucas is a knave.", "Assume Lucas is a knight. No contradiction is found in their claim that Penelope is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that If Charlotte is a knave then Penelope is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that Jackson is a knight or Lucas is a knight.", "Noah cannot be a knight, because this would contradict the claim of their own that Charlotte is a knave and Jackson is a knave.", "Assume Noah is a knave. No contradiction is found in their false claim that Charlotte is a knave and Jackson is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 5), ('telling-truth', 0)), ('and', ('lying', 6), ('lying', 4)), ('telling-truth', 0), ('->', ('lying', 6), ('telling-truth', 0)), ('or', ('telling-truth', 0), ('lying', 2)), ('<=>', ('lying', 4), ('lying', 3)), ('or', ('telling-truth', 4), ('telling-truth', 2)))", "index": 272}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Noah, Victoria, Logan, Sofia, Jack, Evelyn, and Grace. Noah said, \"Logan is a knight.\" Victoria said, \"Noah is a knave and Grace is a knight.\" In a statement by Logan: \"Victoria is a knight or Victoria is a knave\". Sofia expressed that Noah is a knave if and only if Grace is a knave. \"Victoria is a knight and Noah is a knave,\" Jack declared. Evelyn stated, \"Jack is a knave or Logan is a knight\". \"Noah is a knight or Logan is a knight\" - Grace. So who is a knight and who is a knave?", "names": ["Noah", "Victoria", "Logan", "Sofia", "Jack", "Evelyn", "Grace"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, false, true, true], "solution_text": "Noah is a knight, Victoria is a knave, Logan is a knight, Sofia is a knight, Jack is a knave, Evelyn is a knight, and Grace is a knight.", "solution_text_format": "(1) Noah is a knight\n(2) Victoria is a knave\n(3) Logan is a knight\n(4) Sofia is a knight\n(5) Jack is a knave\n(6) Evelyn is a knight\n(7) Grace is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Noah is a knight. No contradiction is found in their claim that Logan is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that Victoria is a knight or Victoria is a knave.", "Victoria cannot be a knight, because this would contradict the claim of their own that Noah is a knave and Grace is a knight.", "Assume Victoria is a knave. No contradiction is found in their false claim that Noah is a knave and Grace is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that Noah is a knight or Logan is a knight.", "Assume Sofia is a knight. No contradiction is found in their claim that Noah is a knave if and only if Grace is a knave.", "Jack cannot be a knight, because this would contradict the claim of their own that Victoria is a knight and Noah is a knave.", "Assume Jack is a knave. No contradiction is found in their false claim that Victoria is a knight and Noah is a knave.", "Assume Evelyn is a knight. No contradiction is found in their claim that Jack is a knave or Logan is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 2), ('and', ('lying', 0), ('telling-truth', 6)), ('or', ('telling-truth', 1), ('lying', 1)), ('<=>', ('lying', 0), ('lying', 6)), ('and', ('telling-truth', 1), ('lying', 0)), ('or', ('lying', 4), ('telling-truth', 2)), ('or', ('telling-truth', 0), ('telling-truth', 2)))", "index": 273}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Olivia, Lucas, Isabella, Emma, Daniel, Aurora, and Ella. Olivia said, \"Daniel is a knight.\" As Lucas put it, \"Isabella is not a knave\". Isabella stated, \"Ella is a knave\". Emma commented, \"Olivia is a knight or Lucas is a knave\". As Daniel put it, \"Aurora is a knight and Daniel is a knight\". Aurora noted, \"Aurora is a knight and Lucas is a knight\". According to Ella, \"Aurora is a knight or Olivia is a knight\". So who is a knight and who is a knave?", "names": ["Olivia", "Lucas", "Isabella", "Emma", "Daniel", "Aurora", "Ella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false, false, false, false], "solution_text": "Olivia is a knave, Lucas is a knight, Isabella is a knight, Emma is a knave, Daniel is a knave, Aurora is a knave, and Ella is a knave.", "solution_text_format": "(1) Olivia is a knave\n(2) Lucas is a knight\n(3) Isabella is a knight\n(4) Emma is a knave\n(5) Daniel is a knave\n(6) Aurora is a knave\n(7) Ella is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Olivia is a knight. No contradiction is found in their claim that Daniel is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that Aurora is a knight and Daniel is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that Aurora is a knight and Lucas is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that Isabella is not a knave.", "Assume Isabella is a knight. No contradiction is found in their claim that Ella is a knave.", "Ella cannot be a knight, because this would contradict the claim of Isabella that Ella is a knave.", "Ella cannot be a knave, because this would contradict the false claim of their own that Aurora is a knight or Olivia is a knight.", "We have exhausted all possibilities for Ella, so let us go back and reconsider Isabella.", "Isabella cannot be a knave, because this would contradict the claim of Lucas that Isabella is not a knave.", "We have exhausted all possibilities for Isabella, so let us go back and reconsider Lucas.", "Lucas cannot be a knave, because this would contradict the claim of Aurora that Aurora is a knight and Lucas is a knight.", "We have exhausted all possibilities for Lucas, so let us go back and reconsider Aurora.", "Aurora cannot be a knave, because this would contradict the claim of Daniel that Aurora is a knight and Daniel is a knight.", "We have exhausted all possibilities for Aurora, so let us go back and reconsider Daniel.", "Daniel cannot be a knave, because this would contradict the claim of Olivia that Daniel is a knight.", "We have exhausted all possibilities for Daniel, so let us go back and reconsider Olivia.", "Assume Olivia is a knave. No contradiction is found in their false claim that Daniel is a knight.", "Daniel cannot be a knight, because this would contradict the false claim of Olivia that Daniel is a knight.", "Assume Daniel is a knave. No contradiction is found in their false claim that Aurora is a knight and Daniel is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that Aurora is a knight and Lucas is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that Isabella is not a knave.", "Assume Isabella is a knight. No contradiction is found in their claim that Ella is a knave.", "Ella cannot be a knight, because this would contradict the claim of Isabella that Ella is a knave.", "Ella cannot be a knave, because this would contradict the false claim of their own that Aurora is a knight or Olivia is a knight.", "We have exhausted all possibilities for Ella, so let us go back and reconsider Isabella.", "Isabella cannot be a knave, because this would contradict the claim of Lucas that Isabella is not a knave.", "We have exhausted all possibilities for Isabella, so let us go back and reconsider Lucas.", "Lucas cannot be a knave, because this would contradict the claim of Aurora that Aurora is a knight and Lucas is a knight.", "We have exhausted all possibilities for Lucas, so let us go back and reconsider Aurora.", "Assume Aurora is a knave. No contradiction is found in their false claim that Aurora is a knight and Lucas is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that Isabella is not a knave.", "Assume Isabella is a knight. No contradiction is found in their claim that Ella is a knave.", "Ella cannot be a knight, because this would contradict the claim of Isabella that Ella is a knave.", "Assume Ella is a knave. No contradiction is found in their false claim that Aurora is a knight or Olivia is a knight.", "Emma cannot be a knight, because this would contradict the claim of their own that Olivia is a knight or Lucas is a knave.", "Assume Emma is a knave. No contradiction is found in their false claim that Olivia is a knight or Lucas is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 4), ('not', ('lying', 2)), ('lying', 6), ('or', ('telling-truth', 0), ('lying', 1)), ('and', ('telling-truth', 5), ('telling-truth', 4)), ('and', ('telling-truth', 5), ('telling-truth', 1)), ('or', ('telling-truth', 5), ('telling-truth', 0)))", "index": 274}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Logan, Sebastian, Benjamin, Grace, Ava, Michael, and Isabella. In a statement by Logan: \"Ava is not a knave\". Sebastian stated, \"Grace is a knight or Benjamin is a knight\". Benjamin said, \"Logan is a knave or Michael is a knight.\" Grace expressed that Isabella is a knave. Ava said, \"If Ava is a knight then Michael is a knight.\" Michael said that Benjamin is not a knave. As Isabella put it, \"If Isabella is a knight then Grace is a knave\". So who is a knight and who is a knave?", "names": ["Logan", "Sebastian", "Benjamin", "Grace", "Ava", "Michael", "Isabella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false, true, true, true], "solution_text": "Logan is a knight, Sebastian is a knight, Benjamin is a knight, Grace is a knave, Ava is a knight, Michael is a knight, and Isabella is a knight.", "solution_text_format": "(1) Logan is a knight\n(2) Sebastian is a knight\n(3) Benjamin is a knight\n(4) Grace is a knave\n(5) Ava is a knight\n(6) Michael is a knight\n(7) Isabella is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Logan is a knight. No contradiction is found in their claim that Ava is not a knave.", "Assume Ava is a knight. No contradiction is found in their claim that If Ava is a knight then Michael is a knight.", "Assume Michael is a knight. No contradiction is found in their claim that Benjamin is not a knave.", "Assume Benjamin is a knight. No contradiction is found in their claim that Logan is a knave or Michael is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Grace is a knight or Benjamin is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that Isabella is a knave.", "Isabella cannot be a knight, because this would contradict the claim of Grace that Isabella is a knave.", "Isabella cannot be a knave, because this would contradict the false claim of their own that If Isabella is a knight then Grace is a knave.", "We have exhausted all possibilities for Isabella, so let us go back and reconsider Grace.", "Assume Grace is a knave. No contradiction is found in their false claim that Isabella is a knave.", "Assume Isabella is a knight. No contradiction is found in their claim that If Isabella is a knight then Grace is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 4)), ('or', ('telling-truth', 3), ('telling-truth', 2)), ('or', ('lying', 0), ('telling-truth', 5)), ('lying', 6), ('->', ('telling-truth', 4), ('telling-truth', 5)), ('not', ('lying', 2)), ('->', ('telling-truth', 6), ('lying', 3)))", "index": 275}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Lily, Jackson, Victoria, Zoey, Aiden, Daniel, and Henry. Lily said that Aiden is a knave or Daniel is a knight. \"Victoria is a knight if and only if Daniel is a knight,\" Jackson declared. \"Zoey is a knight or Henry is a knight,\" Victoria mentioned. Zoey was heard saying, \"Zoey is a knight and Henry is a knight\". Aiden was heard saying, \"Lily is not a knave\". In Daniel's words: \"Lily is a knight if and only if Daniel is a knight\". Henry remarked, \"Lily is not a knight\". So who is a knight and who is a knave?", "names": ["Lily", "Jackson", "Victoria", "Zoey", "Aiden", "Daniel", "Henry"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false, true, true, false], "solution_text": "Lily is a knight, Jackson is a knave, Victoria is a knave, Zoey is a knave, Aiden is a knight, Daniel is a knight, and Henry is a knave.", "solution_text_format": "(1) Lily is a knight\n(2) Jackson is a knave\n(3) Victoria is a knave\n(4) Zoey is a knave\n(5) Aiden is a knight\n(6) Daniel is a knight\n(7) Henry is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Lily is a knight. No contradiction is found in their claim that Aiden is a knave or Daniel is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that Lily is not a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that Lily is a knight if and only if Daniel is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that Victoria is a knight if and only if Daniel is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that Zoey is a knight or Henry is a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that Zoey is a knight and Henry is a knight.", "Henry cannot be a knight, because this would contradict the claim of their own that Lily is not a knight.", "Henry cannot be a knave, because this would contradict the claim of Zoey that Zoey is a knight and Henry is a knight.", "We have exhausted all possibilities for Henry, so let us go back and reconsider Zoey.", "Assume Zoey is a knave. No contradiction is found in their false claim that Zoey is a knight and Henry is a knight.", "Henry cannot be a knight, because this would contradict the claim of their own that Lily is not a knight.", "Henry cannot be a knave, because this would contradict the claim of Victoria that Zoey is a knight or Henry is a knight.", "We have exhausted all possibilities for Henry and Zoey, so let us go back and reconsider Victoria.", "Victoria cannot be a knave, because this would contradict the claim of Jackson that Victoria is a knight if and only if Daniel is a knight.", "We have exhausted all possibilities for Victoria, so let us go back and reconsider Jackson.", "Assume Jackson is a knave. No contradiction is found in their false claim that Victoria is a knight if and only if Daniel is a knight.", "Victoria cannot be a knight, because this would contradict the false claim of Jackson that Victoria is a knight if and only if Daniel is a knight.", "Assume Victoria is a knave. No contradiction is found in their false claim that Zoey is a knight or Henry is a knight.", "Zoey cannot be a knight, because this would contradict the false claim of Victoria that Zoey is a knight or Henry is a knight.", "Assume Zoey is a knave. No contradiction is found in their false claim that Zoey is a knight and Henry is a knight.", "Henry cannot be a knight, because this would contradict the false claim of Victoria that Zoey is a knight or Henry is a knight.", "Assume Henry is a knave. No contradiction is found in their false claim that Lily is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 4), ('telling-truth', 5)), ('<=>', ('telling-truth', 2), ('telling-truth', 5)), ('or', ('telling-truth', 3), ('telling-truth', 6)), ('and', ('telling-truth', 3), ('telling-truth', 6)), ('not', ('lying', 0)), ('<=>', ('telling-truth', 0), ('telling-truth', 5)), ('not', ('telling-truth', 0)))", "index": 276}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Ava, Sophia, Elizabeth, Avery, Isabella, Chloe, and Joseph. \"Avery is a knight if and only if Joseph is a knave,\" Ava claimed. Sophia stated, \"Elizabeth is not a knave\". According to Elizabeth, \"Avery is not a knave\". In Avery's words: \"If Joseph is a knight then Sophia is a knight\". \"Chloe is a knave or Ava is a knight,\" Isabella declared. Chloe was heard saying, \"If Sophia is a knight then Avery is a knave\". Joseph noted, \"Chloe is a knave if and only if Elizabeth is a knave\". So who is a knight and who is a knave?", "names": ["Ava", "Sophia", "Elizabeth", "Avery", "Isabella", "Chloe", "Joseph"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, true, false, false], "solution_text": "Ava is a knight, Sophia is a knight, Elizabeth is a knight, Avery is a knight, Isabella is a knight, Chloe is a knave, and Joseph is a knave.", "solution_text_format": "(1) Ava is a knight\n(2) Sophia is a knight\n(3) Elizabeth is a knight\n(4) Avery is a knight\n(5) Isabella is a knight\n(6) Chloe is a knave\n(7) Joseph is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ava is a knight. No contradiction is found in their claim that Avery is a knight if and only if Joseph is a knave.", "Assume Avery is a knight. No contradiction is found in their claim that If Joseph is a knight then Sophia is a knight.", "Joseph cannot be a knight, because this would contradict the claim of Ava that Avery is a knight if and only if Joseph is a knave.", "Assume Joseph is a knave. No contradiction is found in their false claim that Chloe is a knave if and only if Elizabeth is a knave.", "Assume Chloe is a knight. No contradiction is found in their claim that If Sophia is a knight then Avery is a knave.", "Sophia cannot be a knight, because this would contradict the claim of Chloe that If Sophia is a knight then Avery is a knave.", "Assume Sophia is a knave. No contradiction is found in their false claim that Elizabeth is not a knave.", "Elizabeth cannot be a knight, because this would contradict the false claim of Sophia that Elizabeth is not a knave.", "Elizabeth cannot be a knave, because this would contradict the false claim of their own that Avery is not a knave.", "We have exhausted all possibilities for Elizabeth and Sophia, so let us go back and reconsider Chloe.", "Assume Chloe is a knave. No contradiction is found in their false claim that If Sophia is a knight then Avery is a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that Elizabeth is not a knave.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Avery is not a knave.", "Assume Isabella is a knight. No contradiction is found in their claim that Chloe is a knave or Ava is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 3), ('lying', 6)), ('not', ('lying', 2)), ('not', ('lying', 3)), ('->', ('telling-truth', 6), ('telling-truth', 1)), ('or', ('lying', 5), ('telling-truth', 0)), ('->', ('telling-truth', 1), ('lying', 3)), ('<=>', ('lying', 5), ('lying', 2)))", "index": 277}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Avery, Aria, Benjamin, Joseph, Victoria, Alexander, and Emily. Avery told you that Joseph is a knave. In a statement by Aria: \"If Emily is a knave then Victoria is a knight\". In Benjamin's words: \"Aria is not a knight\". Joseph remarked, \"Emily is a knave or Avery is a knight\". \"If Alexander is a knight then Avery is a knight,\" Victoria declared. Alexander said, \"Victoria is a knight if and only if Avery is a knight.\" Emily said, \"Benjamin is a knave.\" So who is a knight and who is a knave?", "names": ["Avery", "Aria", "Benjamin", "Joseph", "Victoria", "Alexander", "Emily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true, false, true, false], "solution_text": "Avery is a knave, Aria is a knave, Benjamin is a knight, Joseph is a knight, Victoria is a knave, Alexander is a knight, and Emily is a knave.", "solution_text_format": "(1) Avery is a knave\n(2) Aria is a knave\n(3) Benjamin is a knight\n(4) Joseph is a knight\n(5) Victoria is a knave\n(6) Alexander is a knight\n(7) Emily is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Avery is a knight. No contradiction is found in their claim that Joseph is a knave.", "Joseph cannot be a knight, because this would contradict the claim of Avery that Joseph is a knave.", "Joseph cannot be a knave, because this would contradict the false claim of their own that Emily is a knave or Avery is a knight.", "We have exhausted all possibilities for Joseph, so let us go back and reconsider Avery.", "Assume Avery is a knave. No contradiction is found in their false claim that Joseph is a knave.", "Assume Joseph is a knight. No contradiction is found in their claim that Emily is a knave or Avery is a knight.", "Emily cannot be a knight, because this would contradict the claim of Joseph that Emily is a knave or Avery is a knight.", "Assume Emily is a knave. No contradiction is found in their false claim that Benjamin is a knave.", "Assume Benjamin is a knight. No contradiction is found in their claim that Aria is not a knight.", "Aria cannot be a knight, because this would contradict the claim of Benjamin that Aria is not a knight.", "Assume Aria is a knave. No contradiction is found in their false claim that If Emily is a knave then Victoria is a knight.", "Victoria cannot be a knight, because this would contradict the false claim of Aria that If Emily is a knave then Victoria is a knight.", "Assume Victoria is a knave. No contradiction is found in their false claim that If Alexander is a knight then Avery is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that Victoria is a knight if and only if Avery is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 3), ('->', ('lying', 6), ('telling-truth', 4)), ('not', ('telling-truth', 1)), ('or', ('lying', 6), ('telling-truth', 0)), ('->', ('telling-truth', 5), ('telling-truth', 0)), ('<=>', ('telling-truth', 4), ('telling-truth', 0)), ('lying', 2))", "index": 278}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Sophia, Jackson, Penelope, Isabella, Avery, Lily, and Harper. Sophia commented, \"Isabella is a knight if and only if Lily is a knight\". Jackson asserted: \"Sophia is a knave or Harper is a knave\". Penelope asserted: \"Jackson is a knave and Harper is a knave\". As Isabella put it, \"Sophia is a knave if and only if Jackson is a knave\". Avery expressed that Sophia is a knight. Lily asserted: \"If Isabella is a knave then Isabella is a knight\". Harper said, \"If Jackson is a knight then Lily is a knight.\" So who is a knight and who is a knave?", "names": ["Sophia", "Jackson", "Penelope", "Isabella", "Avery", "Lily", "Harper"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false, true, false, true], "solution_text": "Sophia is a knight, Jackson is a knave, Penelope is a knave, Isabella is a knave, Avery is a knight, Lily is a knave, and Harper is a knight.", "solution_text_format": "(1) Sophia is a knight\n(2) Jackson is a knave\n(3) Penelope is a knave\n(4) Isabella is a knave\n(5) Avery is a knight\n(6) Lily is a knave\n(7) Harper is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sophia is a knight. No contradiction is found in their claim that Isabella is a knight if and only if Lily is a knight.", "Assume Isabella is a knight. No contradiction is found in their claim that Sophia is a knave if and only if Jackson is a knave.", "Assume Jackson is a knight. No contradiction is found in their claim that Sophia is a knave or Harper is a knave.", "Harper cannot be a knight, because this would contradict the claim of Jackson that Sophia is a knave or Harper is a knave.", "Assume Harper is a knave. No contradiction is found in their false claim that If Jackson is a knight then Lily is a knight.", "Lily cannot be a knight, because this would contradict the false claim of Harper that If Jackson is a knight then Lily is a knight.", "Lily cannot be a knave, because this would contradict the claim of Sophia that Isabella is a knight if and only if Lily is a knight.", "We have exhausted all possibilities for Lily and Harper, so let us go back and reconsider Jackson.", "Jackson cannot be a knave, because this would contradict the claim of Isabella that Sophia is a knave if and only if Jackson is a knave.", "We have exhausted all possibilities for Jackson, so let us go back and reconsider Isabella.", "Assume Isabella is a knave. No contradiction is found in their false claim that Sophia is a knave if and only if Jackson is a knave.", "Jackson cannot be a knight, because this would contradict the false claim of Isabella that Sophia is a knave if and only if Jackson is a knave.", "Assume Jackson is a knave. No contradiction is found in their false claim that Sophia is a knave or Harper is a knave.", "Assume Harper is a knight. No contradiction is found in their claim that If Jackson is a knight then Lily is a knight.", "Lily cannot be a knight, because this would contradict the claim of Sophia that Isabella is a knight if and only if Lily is a knight.", "Assume Lily is a knave. No contradiction is found in their false claim that If Isabella is a knave then Isabella is a knight.", "Penelope cannot be a knight, because this would contradict the claim of their own that Jackson is a knave and Harper is a knave.", "Assume Penelope is a knave. No contradiction is found in their false claim that Jackson is a knave and Harper is a knave.", "Assume Avery is a knight. No contradiction is found in their claim that Sophia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 3), ('telling-truth', 5)), ('or', ('lying', 0), ('lying', 6)), ('and', ('lying', 1), ('lying', 6)), ('<=>', ('lying', 0), ('lying', 1)), ('telling-truth', 0), ('->', ('lying', 3), ('telling-truth', 3)), ('->', ('telling-truth', 1), ('telling-truth', 5)))", "index": 279}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Avery, Luke, Harper, Elizabeth, Charlotte, Aria, and Logan. Avery told you that If Aria is a knave then Elizabeth is a knave. \"Harper is a knave and Aria is a knave,\" Luke claimed. \"If Luke is a knight then Elizabeth is a knave,\" Harper declared. Elizabeth told you that Logan is not a knave. Charlotte remarked, \"If Luke is a knave then Avery is a knight\". Aria told you that Elizabeth is a knight. \"Charlotte is not a knave,\" Logan claimed. So who is a knight and who is a knave?", "names": ["Avery", "Luke", "Harper", "Elizabeth", "Charlotte", "Aria", "Logan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, true, true, true], "solution_text": "Avery is a knight, Luke is a knave, Harper is a knight, Elizabeth is a knight, Charlotte is a knight, Aria is a knight, and Logan is a knight.", "solution_text_format": "(1) Avery is a knight\n(2) Luke is a knave\n(3) Harper is a knight\n(4) Elizabeth is a knight\n(5) Charlotte is a knight\n(6) Aria is a knight\n(7) Logan is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Avery is a knight. No contradiction is found in their claim that If Aria is a knave then Elizabeth is a knave.", "Assume Aria is a knight. No contradiction is found in their claim that Elizabeth is a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Logan is not a knave.", "Assume Logan is a knight. No contradiction is found in their claim that Charlotte is not a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that If Luke is a knave then Avery is a knight.", "Luke cannot be a knight, because this would contradict the claim of their own that Harper is a knave and Aria is a knave.", "Assume Luke is a knave. No contradiction is found in their false claim that Harper is a knave and Aria is a knave.", "Assume Harper is a knight. No contradiction is found in their claim that If Luke is a knight then Elizabeth is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 5), ('lying', 3)), ('and', ('lying', 2), ('lying', 5)), ('->', ('telling-truth', 1), ('lying', 3)), ('not', ('lying', 6)), ('->', ('lying', 1), ('telling-truth', 0)), ('telling-truth', 3), ('not', ('lying', 4)))", "index": 280}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Emily, Emma, Sofia, Harper, Lily, Aria, and Jackson. According to Emily, \"Lily is a knave or Emily is a knight\". In a statement by Emma: \"Emily is not a knight\". Sofia noted, \"Emily is a knave and Emma is a knight\". Harper commented, \"Jackson is a knight or Aria is a knight\". Lily asserted: \"Emma is not a knave\". As Aria put it, \"Harper is a knave if and only if Harper is a knight\". In Jackson's words: \"If Emily is a knave then Harper is a knave\". So who is a knight and who is a knave?", "names": ["Emily", "Emma", "Sofia", "Harper", "Lily", "Aria", "Jackson"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, false, false, true], "solution_text": "Emily is a knight, Emma is a knave, Sofia is a knave, Harper is a knight, Lily is a knave, Aria is a knave, and Jackson is a knight.", "solution_text_format": "(1) Emily is a knight\n(2) Emma is a knave\n(3) Sofia is a knave\n(4) Harper is a knight\n(5) Lily is a knave\n(6) Aria is a knave\n(7) Jackson is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Emily is a knight. No contradiction is found in their claim that Lily is a knave or Emily is a knight.", "Assume Lily is a knight. No contradiction is found in their claim that Emma is not a knave.", "Emma cannot be a knight, because this would contradict the claim of their own that Emily is not a knight.", "Emma cannot be a knave, because this would contradict the claim of Lily that Emma is not a knave.", "We have exhausted all possibilities for Emma, so let us go back and reconsider Lily.", "Assume Lily is a knave. No contradiction is found in their false claim that Emma is not a knave.", "Emma cannot be a knight, because this would contradict the claim of their own that Emily is not a knight.", "Assume Emma is a knave. No contradiction is found in their false claim that Emily is not a knight.", "Sofia cannot be a knight, because this would contradict the claim of their own that Emily is a knave and Emma is a knight.", "Assume Sofia is a knave. No contradiction is found in their false claim that Emily is a knave and Emma is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that Jackson is a knight or Aria is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that If Emily is a knave then Harper is a knave.", "Aria cannot be a knight, because this would contradict the claim of their own that Harper is a knave if and only if Harper is a knight.", "Assume Aria is a knave. No contradiction is found in their false claim that Harper is a knave if and only if Harper is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 4), ('telling-truth', 0)), ('not', ('telling-truth', 0)), ('and', ('lying', 0), ('telling-truth', 1)), ('or', ('telling-truth', 6), ('telling-truth', 5)), ('not', ('lying', 1)), ('<=>', ('lying', 3), ('telling-truth', 3)), ('->', ('lying', 0), ('lying', 3)))", "index": 281}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Elizabeth, Lily, Sophia, Owen, Jack, Alexander, and Aurora. As Elizabeth put it, \"Lily is not a knave\". Lily said, \"Aurora is a knight.\" Sophia said, \"Jack is a knight and Aurora is a knight.\" Owen told you that Aurora is a knight if and only if Alexander is a knight. In Jack's words: \"Sophia is a knight and Alexander is a knight\". Alexander told you that If Owen is a knight then Elizabeth is a knave. As Aurora put it, \"If Jack is a knave then Owen is a knight\". So who is a knight and who is a knave?", "names": ["Elizabeth", "Lily", "Sophia", "Owen", "Jack", "Alexander", "Aurora"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, false, false, true, false], "solution_text": "Elizabeth is a knave, Lily is a knave, Sophia is a knave, Owen is a knave, Jack is a knave, Alexander is a knight, and Aurora is a knave.", "solution_text_format": "(1) Elizabeth is a knave\n(2) Lily is a knave\n(3) Sophia is a knave\n(4) Owen is a knave\n(5) Jack is a knave\n(6) Alexander is a knight\n(7) Aurora is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Elizabeth is a knight. No contradiction is found in their claim that Lily is not a knave.", "Assume Lily is a knight. No contradiction is found in their claim that Aurora is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that If Jack is a knave then Owen is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that Sophia is a knight and Alexander is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that Jack is a knight and Aurora is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that If Owen is a knight then Elizabeth is a knave.", "Owen cannot be a knight, because this would contradict the claim of Alexander that If Owen is a knight then Elizabeth is a knave.", "Owen cannot be a knave, because this would contradict the false claim of their own that Aurora is a knight if and only if Alexander is a knight.", "We have exhausted all possibilities for Owen, so let us go back and reconsider Alexander.", "Alexander cannot be a knave, because this would contradict the claim of Jack that Sophia is a knight and Alexander is a knight.", "We have exhausted all possibilities for Alexander, so let us go back and reconsider Sophia.", "Sophia cannot be a knave, because this would contradict the false claim of their own that Jack is a knight and Aurora is a knight.", "We have exhausted all possibilities for Sophia, so let us go back and reconsider Jack.", "Assume Jack is a knave. No contradiction is found in their false claim that Sophia is a knight and Alexander is a knight.", "Sophia cannot be a knight, because this would contradict the claim of their own that Jack is a knight and Aurora is a knight.", "Assume Sophia is a knave. No contradiction is found in their false claim that Jack is a knight and Aurora is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that If Owen is a knight then Elizabeth is a knave.", "Owen cannot be a knight, because this would contradict the claim of Alexander that If Owen is a knight then Elizabeth is a knave.", "Owen cannot be a knave, because this would contradict the false claim of their own that Aurora is a knight if and only if Alexander is a knight.", "We have exhausted all possibilities for Owen, so let us go back and reconsider Alexander.", "Assume Alexander is a knave. No contradiction is found in their false claim that If Owen is a knight then Elizabeth is a knave.", "Owen cannot be a knight, because this would contradict the claim of their own that Aurora is a knight if and only if Alexander is a knight.", "Owen cannot be a knave, because this would contradict the false claim of Alexander that If Owen is a knight then Elizabeth is a knave.", "We have exhausted all possibilities for Owen, Alexander, Sophia, and Jack, so let us go back and reconsider Aurora.", "Aurora cannot be a knave, because this would contradict the claim of Lily that Aurora is a knight.", "We have exhausted all possibilities for Aurora, so let us go back and reconsider Lily.", "Lily cannot be a knave, because this would contradict the claim of Elizabeth that Lily is not a knave.", "We have exhausted all possibilities for Lily, so let us go back and reconsider Elizabeth.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Lily is not a knave.", "Lily cannot be a knight, because this would contradict the false claim of Elizabeth that Lily is not a knave.", "Assume Lily is a knave. No contradiction is found in their false claim that Aurora is a knight.", "Aurora cannot be a knight, because this would contradict the false claim of Lily that Aurora is a knight.", "Assume Aurora is a knave. No contradiction is found in their false claim that If Jack is a knave then Owen is a knight.", "Jack cannot be a knight, because this would contradict the false claim of Aurora that If Jack is a knave then Owen is a knight.", "Assume Jack is a knave. No contradiction is found in their false claim that Sophia is a knight and Alexander is a knight.", "Sophia cannot be a knight, because this would contradict the claim of their own that Jack is a knight and Aurora is a knight.", "Assume Sophia is a knave. No contradiction is found in their false claim that Jack is a knight and Aurora is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that If Owen is a knight then Elizabeth is a knave.", "Owen cannot be a knight, because this would contradict the claim of their own that Aurora is a knight if and only if Alexander is a knight.", "Assume Owen is a knave. No contradiction is found in their false claim that Aurora is a knight if and only if Alexander is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 1)), ('telling-truth', 6), ('and', ('telling-truth', 4), ('telling-truth', 6)), ('<=>', ('telling-truth', 6), ('telling-truth', 5)), ('and', ('telling-truth', 2), ('telling-truth', 5)), ('->', ('telling-truth', 3), ('lying', 0)), ('->', ('lying', 4), ('telling-truth', 3)))", "index": 282}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Lily, James, Penelope, Isabella, Sebastian, Jackson, and Elizabeth. Lily remarked, \"If James is a knave then Isabella is a knight\". James asserted: \"Isabella is a knave if and only if Jackson is a knight\". According to Penelope, \"Isabella is a knight if and only if James is a knave\". In Isabella's words: \"Jackson is not a knight\". As Sebastian put it, \"Elizabeth is not a knave\". In Jackson's words: \"If Penelope is a knight then Sebastian is a knave\". Elizabeth expressed that Isabella is a knave if and only if Elizabeth is a knight. So who is a knight and who is a knave?", "names": ["Lily", "James", "Penelope", "Isabella", "Sebastian", "Jackson", "Elizabeth"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false, false, true, false], "solution_text": "Lily is a knight, James is a knight, Penelope is a knight, Isabella is a knave, Sebastian is a knave, Jackson is a knight, and Elizabeth is a knave.", "solution_text_format": "(1) Lily is a knight\n(2) James is a knight\n(3) Penelope is a knight\n(4) Isabella is a knave\n(5) Sebastian is a knave\n(6) Jackson is a knight\n(7) Elizabeth is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Lily is a knight. No contradiction is found in their claim that If James is a knave then Isabella is a knight.", "Assume James is a knight. No contradiction is found in their claim that Isabella is a knave if and only if Jackson is a knight.", "Assume Isabella is a knight. No contradiction is found in their claim that Jackson is not a knight.", "Jackson cannot be a knight, because this would contradict the claim of James that Isabella is a knave if and only if Jackson is a knight.", "Assume Jackson is a knave. No contradiction is found in their false claim that If Penelope is a knight then Sebastian is a knave.", "Penelope cannot be a knight, because this would contradict the claim of their own that Isabella is a knight if and only if James is a knave.", "Penelope cannot be a knave, because this would contradict the false claim of Jackson that If Penelope is a knight then Sebastian is a knave.", "We have exhausted all possibilities for Penelope and Jackson, so let us go back and reconsider Isabella.", "Assume Isabella is a knave. No contradiction is found in their false claim that Jackson is not a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that If Penelope is a knight then Sebastian is a knave.", "Assume Penelope is a knight. No contradiction is found in their claim that Isabella is a knight if and only if James is a knave.", "Sebastian cannot be a knight, because this would contradict the claim of Jackson that If Penelope is a knight then Sebastian is a knave.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Elizabeth is not a knave.", "Elizabeth cannot be a knight, because this would contradict the false claim of Sebastian that Elizabeth is not a knave.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Isabella is a knave if and only if Elizabeth is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 1), ('telling-truth', 3)), ('<=>', ('lying', 3), ('telling-truth', 5)), ('<=>', ('telling-truth', 3), ('lying', 1)), ('not', ('telling-truth', 5)), ('not', ('lying', 6)), ('->', ('telling-truth', 2), ('lying', 4)), ('<=>', ('lying', 3), ('telling-truth', 6)))", "index": 283}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Logan, Lucas, William, Abigail, Liam, Ethan, and Amelia. In a statement by Logan: \"Liam is not a knave\". In Lucas's words: \"Liam is a knight if and only if Logan is a knight\". William said that William is a knight or Lucas is a knight. Abigail told you that Amelia is a knight and Ethan is a knight. Liam noted, \"Ethan is not a knight\". Ethan noted, \"Logan is a knight if and only if Ethan is a knight\". \"Liam is a knave or Logan is a knight,\" Amelia declared. So who is a knight and who is a knave?", "names": ["Logan", "Lucas", "William", "Abigail", "Liam", "Ethan", "Amelia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false, true, false, true], "solution_text": "Logan is a knight, Lucas is a knight, William is a knight, Abigail is a knave, Liam is a knight, Ethan is a knave, and Amelia is a knight.", "solution_text_format": "(1) Logan is a knight\n(2) Lucas is a knight\n(3) William is a knight\n(4) Abigail is a knave\n(5) Liam is a knight\n(6) Ethan is a knave\n(7) Amelia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Logan is a knight. No contradiction is found in their claim that Liam is not a knave.", "Assume Liam is a knight. No contradiction is found in their claim that Ethan is not a knight.", "Ethan cannot be a knight, because this would contradict the claim of Liam that Ethan is not a knight.", "Assume Ethan is a knave. No contradiction is found in their false claim that Logan is a knight if and only if Ethan is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that Liam is a knight if and only if Logan is a knight.", "Assume William is a knight. No contradiction is found in their claim that William is a knight or Lucas is a knight.", "Abigail cannot be a knight, because this would contradict the claim of their own that Amelia is a knight and Ethan is a knight.", "Assume Abigail is a knave. No contradiction is found in their false claim that Amelia is a knight and Ethan is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that Liam is a knave or Logan is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 4)), ('<=>', ('telling-truth', 4), ('telling-truth', 0)), ('or', ('telling-truth', 2), ('telling-truth', 1)), ('and', ('telling-truth', 6), ('telling-truth', 5)), ('not', ('telling-truth', 5)), ('<=>', ('telling-truth', 0), ('telling-truth', 5)), ('or', ('lying', 4), ('telling-truth', 0)))", "index": 284}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Avery, Emma, Ethan, Samuel, Harper, Isabella, and Alexander. According to Avery, \"Alexander is a knave if and only if Isabella is a knave\". Emma commented, \"Avery is not a knight\". In Ethan's words: \"Harper is a knave or Emma is a knight\". Samuel commented, \"Alexander is a knave or Avery is a knight\". Harper asserted: \"Alexander is a knight or Emma is a knave\". Isabella was heard saying, \"Ethan is not a knave\". Alexander noted, \"Isabella is a knight\". So who is a knight and who is a knave?", "names": ["Avery", "Emma", "Ethan", "Samuel", "Harper", "Isabella", "Alexander"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, true, false, false], "solution_text": "Avery is a knight, Emma is a knave, Ethan is a knave, Samuel is a knight, Harper is a knight, Isabella is a knave, and Alexander is a knave.", "solution_text_format": "(1) Avery is a knight\n(2) Emma is a knave\n(3) Ethan is a knave\n(4) Samuel is a knight\n(5) Harper is a knight\n(6) Isabella is a knave\n(7) Alexander is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Avery is a knight. No contradiction is found in their claim that Alexander is a knave if and only if Isabella is a knave.", "Assume Alexander is a knight. No contradiction is found in their claim that Isabella is a knight.", "Assume Isabella is a knight. No contradiction is found in their claim that Ethan is not a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that Harper is a knave or Emma is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that Alexander is a knight or Emma is a knave.", "Emma cannot be a knight, because this would contradict the claim of their own that Avery is not a knight.", "Emma cannot be a knave, because this would contradict the claim of Ethan that Harper is a knave or Emma is a knight.", "We have exhausted all possibilities for Emma, so let us go back and reconsider Harper.", "Harper cannot be a knave, because this would contradict the false claim of their own that Alexander is a knight or Emma is a knave.", "We have exhausted all possibilities for Harper, so let us go back and reconsider Ethan.", "Ethan cannot be a knave, because this would contradict the claim of Isabella that Ethan is not a knave.", "We have exhausted all possibilities for Ethan, so let us go back and reconsider Isabella.", "Isabella cannot be a knave, because this would contradict the claim of Avery that Alexander is a knave if and only if Isabella is a knave.", "We have exhausted all possibilities for Isabella, so let us go back and reconsider Alexander.", "Assume Alexander is a knave. No contradiction is found in their false claim that Isabella is a knight.", "Isabella cannot be a knight, because this would contradict the claim of Avery that Alexander is a knave if and only if Isabella is a knave.", "Assume Isabella is a knave. No contradiction is found in their false claim that Ethan is not a knave.", "Ethan cannot be a knight, because this would contradict the false claim of Isabella that Ethan is not a knave.", "Assume Ethan is a knave. No contradiction is found in their false claim that Harper is a knave or Emma is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that Alexander is a knight or Emma is a knave.", "Emma cannot be a knight, because this would contradict the claim of their own that Avery is not a knight.", "Assume Emma is a knave. No contradiction is found in their false claim that Avery is not a knight.", "Assume Samuel is a knight. No contradiction is found in their claim that Alexander is a knave or Avery is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 6), ('lying', 5)), ('not', ('telling-truth', 0)), ('or', ('lying', 4), ('telling-truth', 1)), ('or', ('lying', 6), ('telling-truth', 0)), ('or', ('telling-truth', 6), ('lying', 1)), ('not', ('lying', 2)), ('telling-truth', 5))", "index": 285}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Avery, Olivia, Amelia, Ava, Aria, Scarlett, and Benjamin. Avery said, \"If Ava is a knave then Avery is a knight.\" Olivia remarked, \"Amelia is not a knight\". Amelia told you that If Aria is a knight then Benjamin is a knave. Ava told you that Aria is not a knight. According to Aria, \"Olivia is a knight or Amelia is a knave\". Scarlett said that Benjamin is a knave if and only if Aria is a knight. Benjamin was heard saying, \"Olivia is a knave and Avery is a knight\". So who is a knight and who is a knave?", "names": ["Avery", "Olivia", "Amelia", "Ava", "Aria", "Scarlett", "Benjamin"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, false, true, true], "solution_text": "Avery is a knight, Olivia is a knave, Amelia is a knight, Ava is a knight, Aria is a knave, Scarlett is a knight, and Benjamin is a knight.", "solution_text_format": "(1) Avery is a knight\n(2) Olivia is a knave\n(3) Amelia is a knight\n(4) Ava is a knight\n(5) Aria is a knave\n(6) Scarlett is a knight\n(7) Benjamin is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Avery is a knight. No contradiction is found in their claim that If Ava is a knave then Avery is a knight.", "Assume Ava is a knight. No contradiction is found in their claim that Aria is not a knight.", "Aria cannot be a knight, because this would contradict the claim of Ava that Aria is not a knight.", "Assume Aria is a knave. No contradiction is found in their false claim that Olivia is a knight or Amelia is a knave.", "Olivia cannot be a knight, because this would contradict the false claim of Aria that Olivia is a knight or Amelia is a knave.", "Assume Olivia is a knave. No contradiction is found in their false claim that Amelia is not a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that If Aria is a knight then Benjamin is a knave.", "Assume Benjamin is a knight. No contradiction is found in their claim that Olivia is a knave and Avery is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that Benjamin is a knave if and only if Aria is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 3), ('telling-truth', 0)), ('not', ('telling-truth', 2)), ('->', ('telling-truth', 4), ('lying', 6)), ('not', ('telling-truth', 4)), ('or', ('telling-truth', 1), ('lying', 2)), ('<=>', ('lying', 6), ('telling-truth', 4)), ('and', ('lying', 1), ('telling-truth', 0)))", "index": 286}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Michael, Alexander, Ava, Luke, Lucas, James, and Ella. Michael said that Lucas is a knave and Lucas is a knight. \"Ava is a knight and James is a knave\" - Alexander. \"Luke is a knight if and only if Ella is a knave,\" Ava claimed. \"Lucas is a knave and Michael is a knight,\" Luke mentioned. \"Michael is a knight,\" Lucas mentioned. James noted, \"If Ella is a knight then James is a knight\". According to Ella, \"James is a knight or Ava is a knave\". So who is a knight and who is a knave?", "names": ["Michael", "Alexander", "Ava", "Luke", "Lucas", "James", "Ella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false, false, true, true], "solution_text": "Michael is a knave, Alexander is a knave, Ava is a knight, Luke is a knave, Lucas is a knave, James is a knight, and Ella is a knight.", "solution_text_format": "(1) Michael is a knave\n(2) Alexander is a knave\n(3) Ava is a knight\n(4) Luke is a knave\n(5) Lucas is a knave\n(6) James is a knight\n(7) Ella is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Michael cannot be a knight, because this would contradict the claim of their own that Lucas is a knave and Lucas is a knight.", "Assume Michael is a knave. No contradiction is found in their false claim that Lucas is a knave and Lucas is a knight.", "Lucas cannot be a knight, because this would contradict the claim of their own that Michael is a knight.", "Assume Lucas is a knave. No contradiction is found in their false claim that Michael is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that Ava is a knight and James is a knave.", "Assume Ava is a knight. No contradiction is found in their claim that Luke is a knight if and only if Ella is a knave.", "Luke cannot be a knight, because this would contradict the claim of their own that Lucas is a knave and Michael is a knight.", "Assume Luke is a knave. No contradiction is found in their false claim that Lucas is a knave and Michael is a knight.", "Assume Ella is a knight. No contradiction is found in their claim that James is a knight or Ava is a knave.", "James cannot be a knight, because this would contradict the claim of Alexander that Ava is a knight and James is a knave.", "James cannot be a knave, because this would contradict the claim of Ella that James is a knight or Ava is a knave.", "We have exhausted all possibilities for James, so let us go back and reconsider Ella.", "Ella cannot be a knave, because this would contradict the claim of Ava that Luke is a knight if and only if Ella is a knave.", "We have exhausted all possibilities for Ella and Luke, so let us go back and reconsider Ava.", "Ava cannot be a knave, because this would contradict the claim of Alexander that Ava is a knight and James is a knave.", "We have exhausted all possibilities for Ava, so let us go back and reconsider Alexander.", "Assume Alexander is a knave. No contradiction is found in their false claim that Ava is a knight and James is a knave.", "Assume Ava is a knight. No contradiction is found in their claim that Luke is a knight if and only if Ella is a knave.", "Luke cannot be a knight, because this would contradict the claim of their own that Lucas is a knave and Michael is a knight.", "Assume Luke is a knave. No contradiction is found in their false claim that Lucas is a knave and Michael is a knight.", "Assume Ella is a knight. No contradiction is found in their claim that James is a knight or Ava is a knave.", "Assume James is a knight. No contradiction is found in their claim that If Ella is a knight then James is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 4), ('telling-truth', 4)), ('and', ('telling-truth', 2), ('lying', 5)), ('<=>', ('telling-truth', 3), ('lying', 6)), ('and', ('lying', 4), ('telling-truth', 0)), ('telling-truth', 0), ('->', ('telling-truth', 6), ('telling-truth', 5)), ('or', ('telling-truth', 5), ('lying', 2)))", "index": 287}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Daniel, Jackson, Aiden, Abigail, Scarlett, Logan, and Ella. Daniel was heard saying, \"Ella is a knave and Logan is a knave\". In Jackson's words: \"If Aiden is a knave then Ella is a knave\". Aiden was heard saying, \"Aiden is a knight if and only if Logan is a knave\". Abigail noted, \"Logan is not a knave\". Scarlett said that Ella is a knave. \"Jackson is a knight or Daniel is a knight,\" Logan claimed. \"If Daniel is a knight then Jackson is a knight,\" Ella declared. So who is a knight and who is a knave?", "names": ["Daniel", "Jackson", "Aiden", "Abigail", "Scarlett", "Logan", "Ella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, false, false, false, true], "solution_text": "Daniel is a knave, Jackson is a knave, Aiden is a knave, Abigail is a knave, Scarlett is a knave, Logan is a knave, and Ella is a knight.", "solution_text_format": "(1) Daniel is a knave\n(2) Jackson is a knave\n(3) Aiden is a knave\n(4) Abigail is a knave\n(5) Scarlett is a knave\n(6) Logan is a knave\n(7) Ella is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Daniel is a knight. No contradiction is found in their claim that Ella is a knave and Logan is a knave.", "Ella cannot be a knight, because this would contradict the claim of Daniel that Ella is a knave and Logan is a knave.", "Assume Ella is a knave. No contradiction is found in their false claim that If Daniel is a knight then Jackson is a knight.", "Jackson cannot be a knight, because this would contradict the false claim of Ella that If Daniel is a knight then Jackson is a knight.", "Jackson cannot be a knave, because this would contradict the false claim of their own that If Aiden is a knave then Ella is a knave.", "We have exhausted all possibilities for Jackson and Ella, so let us go back and reconsider Daniel.", "Assume Daniel is a knave. No contradiction is found in their false claim that Ella is a knave and Logan is a knave.", "Assume Ella is a knight. No contradiction is found in their claim that If Daniel is a knight then Jackson is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that If Aiden is a knave then Ella is a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that Aiden is a knight if and only if Logan is a knave.", "Logan cannot be a knight, because this would contradict the claim of Aiden that Aiden is a knight if and only if Logan is a knave.", "Logan cannot be a knave, because this would contradict the false claim of their own that Jackson is a knight or Daniel is a knight.", "We have exhausted all possibilities for Logan, so let us go back and reconsider Aiden.", "Aiden cannot be a knave, because this would contradict the claim of Jackson that If Aiden is a knave then Ella is a knave.", "We have exhausted all possibilities for Aiden, so let us go back and reconsider Jackson.", "Assume Jackson is a knave. No contradiction is found in their false claim that If Aiden is a knave then Ella is a knave.", "Aiden cannot be a knight, because this would contradict the false claim of Jackson that If Aiden is a knave then Ella is a knave.", "Assume Aiden is a knave. No contradiction is found in their false claim that Aiden is a knight if and only if Logan is a knave.", "Logan cannot be a knight, because this would contradict the false claim of Aiden that Aiden is a knight if and only if Logan is a knave.", "Assume Logan is a knave. No contradiction is found in their false claim that Jackson is a knight or Daniel is a knight.", "Abigail cannot be a knight, because this would contradict the claim of their own that Logan is not a knave.", "Assume Abigail is a knave. No contradiction is found in their false claim that Logan is not a knave.", "Scarlett cannot be a knight, because this would contradict the claim of their own that Ella is a knave.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Ella is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 6), ('lying', 5)), ('->', ('lying', 2), ('lying', 6)), ('<=>', ('telling-truth', 2), ('lying', 5)), ('not', ('lying', 5)), ('lying', 6), ('or', ('telling-truth', 1), ('telling-truth', 0)), ('->', ('telling-truth', 0), ('telling-truth', 1)))", "index": 288}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Evelyn, Alexander, Sofia, Henry, Jacob, Ethan, and Aria. Evelyn told you that Aria is a knave if and only if Alexander is a knave. As Alexander put it, \"Ethan is not a knave\". Sofia expressed that Aria is a knave or Henry is a knight. In a statement by Henry: \"Sofia is not a knight\". In a statement by Jacob: \"Aria is a knight and Sofia is a knight\". Ethan expressed that Henry is a knight and Jacob is a knight. In Aria's words: \"Jacob is not a knave\". So who is a knight and who is a knave?", "names": ["Evelyn", "Alexander", "Sofia", "Henry", "Jacob", "Ethan", "Aria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false, false, false, false], "solution_text": "Evelyn is a knight, Alexander is a knave, Sofia is a knight, Henry is a knave, Jacob is a knave, Ethan is a knave, and Aria is a knave.", "solution_text_format": "(1) Evelyn is a knight\n(2) Alexander is a knave\n(3) Sofia is a knight\n(4) Henry is a knave\n(5) Jacob is a knave\n(6) Ethan is a knave\n(7) Aria is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Evelyn is a knight. No contradiction is found in their claim that Aria is a knave if and only if Alexander is a knave.", "Assume Aria is a knight. No contradiction is found in their claim that Jacob is not a knave.", "Assume Jacob is a knight. No contradiction is found in their claim that Aria is a knight and Sofia is a knight.", "Assume Sofia is a knight. No contradiction is found in their claim that Aria is a knave or Henry is a knight.", "Henry cannot be a knight, because this would contradict the claim of their own that Sofia is not a knight.", "Henry cannot be a knave, because this would contradict the claim of Sofia that Aria is a knave or Henry is a knight.", "We have exhausted all possibilities for Henry, so let us go back and reconsider Sofia.", "Sofia cannot be a knave, because this would contradict the claim of Jacob that Aria is a knight and Sofia is a knight.", "We have exhausted all possibilities for Sofia, so let us go back and reconsider Jacob.", "Jacob cannot be a knave, because this would contradict the claim of Aria that Jacob is not a knave.", "We have exhausted all possibilities for Jacob, so let us go back and reconsider Aria.", "Assume Aria is a knave. No contradiction is found in their false claim that Jacob is not a knave.", "Jacob cannot be a knight, because this would contradict the claim of their own that Aria is a knight and Sofia is a knight.", "Assume Jacob is a knave. No contradiction is found in their false claim that Aria is a knight and Sofia is a knight.", "Assume Sofia is a knight. No contradiction is found in their claim that Aria is a knave or Henry is a knight.", "Henry cannot be a knight, because this would contradict the claim of their own that Sofia is not a knight.", "Assume Henry is a knave. No contradiction is found in their false claim that Sofia is not a knight.", "Alexander cannot be a knight, because this would contradict the claim of Evelyn that Aria is a knave if and only if Alexander is a knave.", "Assume Alexander is a knave. No contradiction is found in their false claim that Ethan is not a knave.", "Ethan cannot be a knight, because this would contradict the false claim of Alexander that Ethan is not a knave.", "Assume Ethan is a knave. No contradiction is found in their false claim that Henry is a knight and Jacob is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 6), ('lying', 1)), ('not', ('lying', 5)), ('or', ('lying', 6), ('telling-truth', 3)), ('not', ('telling-truth', 2)), ('and', ('telling-truth', 6), ('telling-truth', 2)), ('and', ('telling-truth', 3), ('telling-truth', 4)), ('not', ('lying', 4)))", "index": 289}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Elizabeth, Scarlett, Amelia, Aria, Jacob, Logan, and Noah. Elizabeth said that Scarlett is a knave. \"If Noah is a knave then Amelia is a knight\" - Scarlett. Amelia said that Aria is not a knave. Aria said, \"Elizabeth is a knight and Aria is a knight.\" Jacob said, \"Elizabeth is a knave if and only if Elizabeth is a knight.\" In a statement by Logan: \"Jacob is not a knight\". Noah said, \"Logan is a knave.\" So who is a knight and who is a knave?", "names": ["Elizabeth", "Scarlett", "Amelia", "Aria", "Jacob", "Logan", "Noah"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false, false, true, false], "solution_text": "Elizabeth is a knight, Scarlett is a knave, Amelia is a knave, Aria is a knave, Jacob is a knave, Logan is a knight, and Noah is a knave.", "solution_text_format": "(1) Elizabeth is a knight\n(2) Scarlett is a knave\n(3) Amelia is a knave\n(4) Aria is a knave\n(5) Jacob is a knave\n(6) Logan is a knight\n(7) Noah is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Elizabeth is a knight. No contradiction is found in their claim that Scarlett is a knave.", "Scarlett cannot be a knight, because this would contradict the claim of Elizabeth that Scarlett is a knave.", "Assume Scarlett is a knave. No contradiction is found in their false claim that If Noah is a knave then Amelia is a knight.", "Noah cannot be a knight, because this would contradict the false claim of Scarlett that If Noah is a knave then Amelia is a knight.", "Assume Noah is a knave. No contradiction is found in their false claim that Logan is a knave.", "Assume Logan is a knight. No contradiction is found in their claim that Jacob is not a knight.", "Jacob cannot be a knight, because this would contradict the claim of their own that Elizabeth is a knave if and only if Elizabeth is a knight.", "Assume Jacob is a knave. No contradiction is found in their false claim that Elizabeth is a knave if and only if Elizabeth is a knight.", "Amelia cannot be a knight, because this would contradict the false claim of Scarlett that If Noah is a knave then Amelia is a knight.", "Assume Amelia is a knave. No contradiction is found in their false claim that Aria is not a knave.", "Aria cannot be a knight, because this would contradict the false claim of Amelia that Aria is not a knave.", "Assume Aria is a knave. No contradiction is found in their false claim that Elizabeth is a knight and Aria is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('->', ('lying', 6), ('telling-truth', 2)), ('not', ('lying', 3)), ('and', ('telling-truth', 0), ('telling-truth', 3)), ('<=>', ('lying', 0), ('telling-truth', 0)), ('not', ('telling-truth', 4)), ('lying', 5))", "index": 290}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Lily, David, Logan, Noah, Penelope, Benjamin, and Sophia. In a statement by Lily: \"David is a knight\". David commented, \"Logan is a knight or Sophia is a knave\". In Logan's words: \"Sophia is a knight and Lily is a knave\". Noah said, \"Lily is a knight and Benjamin is a knight.\" According to Penelope, \"If Noah is a knight then Sophia is a knave\". \"Noah is not a knave\" - Benjamin. Sophia commented, \"If Penelope is a knight then Benjamin is a knight\". So who is a knight and who is a knave?", "names": ["Lily", "David", "Logan", "Noah", "Penelope", "Benjamin", "Sophia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false, true, false, false], "solution_text": "Lily is a knight, David is a knight, Logan is a knave, Noah is a knave, Penelope is a knight, Benjamin is a knave, and Sophia is a knave.", "solution_text_format": "(1) Lily is a knight\n(2) David is a knight\n(3) Logan is a knave\n(4) Noah is a knave\n(5) Penelope is a knight\n(6) Benjamin is a knave\n(7) Sophia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Lily is a knight. No contradiction is found in their claim that David is a knight.", "Assume David is a knight. No contradiction is found in their claim that Logan is a knight or Sophia is a knave.", "Logan cannot be a knight, because this would contradict the claim of their own that Sophia is a knight and Lily is a knave.", "Assume Logan is a knave. No contradiction is found in their false claim that Sophia is a knight and Lily is a knave.", "Sophia cannot be a knight, because this would contradict the claim of David that Logan is a knight or Sophia is a knave.", "Assume Sophia is a knave. No contradiction is found in their false claim that If Penelope is a knight then Benjamin is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that If Noah is a knight then Sophia is a knave.", "Assume Noah is a knight. No contradiction is found in their claim that Lily is a knight and Benjamin is a knight.", "Benjamin cannot be a knight, because this would contradict the false claim of Sophia that If Penelope is a knight then Benjamin is a knight.", "Benjamin cannot be a knave, because this would contradict the claim of Noah that Lily is a knight and Benjamin is a knight.", "We have exhausted all possibilities for Benjamin, so let us go back and reconsider Noah.", "Assume Noah is a knave. No contradiction is found in their false claim that Lily is a knight and Benjamin is a knight.", "Benjamin cannot be a knight, because this would contradict the false claim of Noah that Lily is a knight and Benjamin is a knight.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Noah is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 1), ('or', ('telling-truth', 2), ('lying', 6)), ('and', ('telling-truth', 6), ('lying', 0)), ('and', ('telling-truth', 0), ('telling-truth', 5)), ('->', ('telling-truth', 3), ('lying', 6)), ('not', ('lying', 3)), ('->', ('telling-truth', 4), ('telling-truth', 5)))", "index": 291}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Noah, Samuel, Evelyn, Luke, Lucas, Jackson, and Mason. Noah asserted: \"Evelyn is a knight\". In Samuel's words: \"Lucas is not a knight\". As Evelyn put it, \"Jackson is a knight or Mason is a knight\". \"If Jackson is a knave then Samuel is a knight,\" Luke claimed. Lucas noted, \"Noah is not a knave\". Jackson was heard saying, \"Evelyn is a knight or Evelyn is a knave\". \"Samuel is a knight,\" Mason declared. So who is a knight and who is a knave?", "names": ["Noah", "Samuel", "Evelyn", "Luke", "Lucas", "Jackson", "Mason"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, true, true, false], "solution_text": "Noah is a knight, Samuel is a knave, Evelyn is a knight, Luke is a knight, Lucas is a knight, Jackson is a knight, and Mason is a knave.", "solution_text_format": "(1) Noah is a knight\n(2) Samuel is a knave\n(3) Evelyn is a knight\n(4) Luke is a knight\n(5) Lucas is a knight\n(6) Jackson is a knight\n(7) Mason is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Noah is a knight. No contradiction is found in their claim that Evelyn is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that Jackson is a knight or Mason is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that Evelyn is a knight or Evelyn is a knave.", "Assume Mason is a knight. No contradiction is found in their claim that Samuel is a knight.", "Assume Samuel is a knight. No contradiction is found in their claim that Lucas is not a knight.", "Lucas cannot be a knight, because this would contradict the claim of Samuel that Lucas is not a knight.", "Lucas cannot be a knave, because this would contradict the false claim of their own that Noah is not a knave.", "We have exhausted all possibilities for Lucas, so let us go back and reconsider Samuel.", "Samuel cannot be a knave, because this would contradict the claim of Mason that Samuel is a knight.", "We have exhausted all possibilities for Samuel, so let us go back and reconsider Mason.", "Assume Mason is a knave. No contradiction is found in their false claim that Samuel is a knight.", "Samuel cannot be a knight, because this would contradict the false claim of Mason that Samuel is a knight.", "Assume Samuel is a knave. No contradiction is found in their false claim that Lucas is not a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that Noah is not a knave.", "Assume Luke is a knight. No contradiction is found in their claim that If Jackson is a knave then Samuel is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 2), ('not', ('telling-truth', 4)), ('or', ('telling-truth', 5), ('telling-truth', 6)), ('->', ('lying', 5), ('telling-truth', 1)), ('not', ('lying', 0)), ('or', ('telling-truth', 2), ('lying', 2)), ('telling-truth', 1))", "index": 292}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Isabella, Daniel, Sophia, Scarlett, Joseph, Emma, and Victoria. Isabella commented, \"Daniel is not a knight\". Daniel remarked, \"Isabella is a knave and Victoria is a knight\". Sophia commented, \"Isabella is a knave or Emma is a knight\". Scarlett said that Emma is a knight or Sophia is a knight. Joseph said that If Victoria is a knave then Sophia is a knight. Emma asserted: \"Victoria is a knave or Scarlett is a knave\". Victoria commented, \"Joseph is a knave if and only if Sophia is a knight\". So who is a knight and who is a knave?", "names": ["Isabella", "Daniel", "Sophia", "Scarlett", "Joseph", "Emma", "Victoria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, true, true, false], "solution_text": "Isabella is a knight, Daniel is a knave, Sophia is a knight, Scarlett is a knight, Joseph is a knight, Emma is a knight, and Victoria is a knave.", "solution_text_format": "(1) Isabella is a knight\n(2) Daniel is a knave\n(3) Sophia is a knight\n(4) Scarlett is a knight\n(5) Joseph is a knight\n(6) Emma is a knight\n(7) Victoria is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Isabella is a knight. No contradiction is found in their claim that Daniel is not a knight.", "Daniel cannot be a knight, because this would contradict the claim of Isabella that Daniel is not a knight.", "Assume Daniel is a knave. No contradiction is found in their false claim that Isabella is a knave and Victoria is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that Joseph is a knave if and only if Sophia is a knight.", "Assume Joseph is a knight. No contradiction is found in their claim that If Victoria is a knave then Sophia is a knight.", "Sophia cannot be a knight, because this would contradict the claim of Victoria that Joseph is a knave if and only if Sophia is a knight.", "Assume Sophia is a knave. No contradiction is found in their false claim that Isabella is a knave or Emma is a knight.", "Emma cannot be a knight, because this would contradict the false claim of Sophia that Isabella is a knave or Emma is a knight.", "Assume Emma is a knave. No contradiction is found in their false claim that Victoria is a knave or Scarlett is a knave.", "Scarlett cannot be a knight, because this would contradict the claim of their own that Emma is a knight or Sophia is a knight.", "Scarlett cannot be a knave, because this would contradict the false claim of Emma that Victoria is a knave or Scarlett is a knave.", "We have exhausted all possibilities for Scarlett, Emma, and Sophia, so let us go back and reconsider Joseph.", "Joseph cannot be a knave, because this would contradict the false claim of their own that If Victoria is a knave then Sophia is a knight.", "We have exhausted all possibilities for Joseph, so let us go back and reconsider Victoria.", "Assume Victoria is a knave. No contradiction is found in their false claim that Joseph is a knave if and only if Sophia is a knight.", "Assume Joseph is a knight. No contradiction is found in their claim that If Victoria is a knave then Sophia is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that Isabella is a knave or Emma is a knight.", "Assume Emma is a knight. No contradiction is found in their claim that Victoria is a knave or Scarlett is a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that Emma is a knight or Sophia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('and', ('lying', 0), ('telling-truth', 6)), ('or', ('lying', 0), ('telling-truth', 5)), ('or', ('telling-truth', 5), ('telling-truth', 2)), ('->', ('lying', 6), ('telling-truth', 2)), ('or', ('lying', 6), ('lying', 3)), ('<=>', ('lying', 4), ('telling-truth', 2)))", "index": 293}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Zoey, Jacob, Ella, Chloe, Ethan, Luke, and Lily. \"Chloe is a knight or Chloe is a knave,\" Zoey claimed. Jacob remarked, \"Ethan is a knave\". Ella said that Jacob is a knight and Lily is a knight. \"Lily is not a knight,\" Chloe claimed. Ethan commented, \"Chloe is not a knight\". \"Ella is not a knight,\" Luke claimed. Lily noted, \"Luke is a knight and Zoey is a knave\". So who is a knight and who is a knave?", "names": ["Zoey", "Jacob", "Ella", "Chloe", "Ethan", "Luke", "Lily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true, false, true, false], "solution_text": "Zoey is a knight, Jacob is a knight, Ella is a knave, Chloe is a knight, Ethan is a knave, Luke is a knight, and Lily is a knave.", "solution_text_format": "(1) Zoey is a knight\n(2) Jacob is a knight\n(3) Ella is a knave\n(4) Chloe is a knight\n(5) Ethan is a knave\n(6) Luke is a knight\n(7) Lily is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Zoey is a knight. No contradiction is found in their claim that Chloe is a knight or Chloe is a knave.", "Assume Chloe is a knight. No contradiction is found in their claim that Lily is not a knight.", "Lily cannot be a knight, because this would contradict the claim of Chloe that Lily is not a knight.", "Assume Lily is a knave. No contradiction is found in their false claim that Luke is a knight and Zoey is a knave.", "Assume Luke is a knight. No contradiction is found in their claim that Ella is not a knight.", "Ella cannot be a knight, because this would contradict the claim of their own that Jacob is a knight and Lily is a knight.", "Assume Ella is a knave. No contradiction is found in their false claim that Jacob is a knight and Lily is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that Ethan is a knave.", "Ethan cannot be a knight, because this would contradict the claim of Jacob that Ethan is a knave.", "Assume Ethan is a knave. No contradiction is found in their false claim that Chloe is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 3), ('lying', 3)), ('lying', 4), ('and', ('telling-truth', 1), ('telling-truth', 6)), ('not', ('telling-truth', 6)), ('not', ('telling-truth', 3)), ('not', ('telling-truth', 2)), ('and', ('telling-truth', 5), ('lying', 0)))", "index": 294}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Jackson, Mia, Abigail, Benjamin, Harper, Oliver, and Emily. Jackson said, \"Harper is a knight if and only if Jackson is a knight.\" According to Mia, \"Harper is a knave or Emily is a knight\". \"Jackson is a knave,\" Abigail claimed. Benjamin said that Jackson is a knight and Jackson is a knave. In Harper's words: \"Jackson is not a knave\". \"If Abigail is a knave then Mia is a knave,\" Oliver mentioned. Emily expressed that Benjamin is a knight. So who is a knight and who is a knave?", "names": ["Jackson", "Mia", "Abigail", "Benjamin", "Harper", "Oliver", "Emily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false, true, true, false], "solution_text": "Jackson is a knight, Mia is a knave, Abigail is a knave, Benjamin is a knave, Harper is a knight, Oliver is a knight, and Emily is a knave.", "solution_text_format": "(1) Jackson is a knight\n(2) Mia is a knave\n(3) Abigail is a knave\n(4) Benjamin is a knave\n(5) Harper is a knight\n(6) Oliver is a knight\n(7) Emily is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jackson is a knight. No contradiction is found in their claim that Harper is a knight if and only if Jackson is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that Jackson is not a knave.", "Assume Mia is a knight. No contradiction is found in their claim that Harper is a knave or Emily is a knight.", "Assume Emily is a knight. No contradiction is found in their claim that Benjamin is a knight.", "Benjamin cannot be a knight, because this would contradict the claim of their own that Jackson is a knight and Jackson is a knave.", "Benjamin cannot be a knave, because this would contradict the claim of Emily that Benjamin is a knight.", "We have exhausted all possibilities for Benjamin, so let us go back and reconsider Emily.", "Emily cannot be a knave, because this would contradict the claim of Mia that Harper is a knave or Emily is a knight.", "We have exhausted all possibilities for Emily, so let us go back and reconsider Mia.", "Assume Mia is a knave. No contradiction is found in their false claim that Harper is a knave or Emily is a knight.", "Emily cannot be a knight, because this would contradict the false claim of Mia that Harper is a knave or Emily is a knight.", "Assume Emily is a knave. No contradiction is found in their false claim that Benjamin is a knight.", "Benjamin cannot be a knight, because this would contradict the claim of their own that Jackson is a knight and Jackson is a knave.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Jackson is a knight and Jackson is a knave.", "Abigail cannot be a knight, because this would contradict the claim of their own that Jackson is a knave.", "Assume Abigail is a knave. No contradiction is found in their false claim that Jackson is a knave.", "Assume Oliver is a knight. No contradiction is found in their claim that If Abigail is a knave then Mia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 4), ('telling-truth', 0)), ('or', ('lying', 4), ('telling-truth', 6)), ('lying', 0), ('and', ('telling-truth', 0), ('lying', 0)), ('not', ('lying', 0)), ('->', ('lying', 2), ('lying', 1)), ('telling-truth', 3))", "index": 295}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Lucas, Sebastian, Benjamin, Jacob, Emma, Lily, and Michael. In a statement by Lucas: \"Lily is a knave or Michael is a knave\". Sebastian was heard saying, \"If Lucas is a knight then Lily is a knave\". Benjamin told you that Lucas is a knight or Benjamin is a knight. Jacob stated, \"Michael is not a knave\". Emma was heard saying, \"Jacob is a knight if and only if Lily is a knight\". \"Emma is not a knight,\" Lily declared. Michael expressed that Emma is not a knave. So who is a knight and who is a knave?", "names": ["Lucas", "Sebastian", "Benjamin", "Jacob", "Emma", "Lily", "Michael"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false, false, true, false], "solution_text": "Lucas is a knight, Sebastian is a knave, Benjamin is a knight, Jacob is a knave, Emma is a knave, Lily is a knight, and Michael is a knave.", "solution_text_format": "(1) Lucas is a knight\n(2) Sebastian is a knave\n(3) Benjamin is a knight\n(4) Jacob is a knave\n(5) Emma is a knave\n(6) Lily is a knight\n(7) Michael is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Lucas is a knight. No contradiction is found in their claim that Lily is a knave or Michael is a knave.", "Assume Lily is a knight. No contradiction is found in their claim that Emma is not a knight.", "Emma cannot be a knight, because this would contradict the claim of Lily that Emma is not a knight.", "Assume Emma is a knave. No contradiction is found in their false claim that Jacob is a knight if and only if Lily is a knight.", "Jacob cannot be a knight, because this would contradict the false claim of Emma that Jacob is a knight if and only if Lily is a knight.", "Assume Jacob is a knave. No contradiction is found in their false claim that Michael is not a knave.", "Michael cannot be a knight, because this would contradict the claim of Lucas that Lily is a knave or Michael is a knave.", "Assume Michael is a knave. No contradiction is found in their false claim that Emma is not a knave.", "Sebastian cannot be a knight, because this would contradict the claim of their own that If Lucas is a knight then Lily is a knave.", "Assume Sebastian is a knave. No contradiction is found in their false claim that If Lucas is a knight then Lily is a knave.", "Assume Benjamin is a knight. No contradiction is found in their claim that Lucas is a knight or Benjamin is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 5), ('lying', 6)), ('->', ('telling-truth', 0), ('lying', 5)), ('or', ('telling-truth', 0), ('telling-truth', 2)), ('not', ('lying', 6)), ('<=>', ('telling-truth', 3), ('telling-truth', 5)), ('not', ('telling-truth', 4)), ('not', ('lying', 4)))", "index": 296}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Joseph, Lily, Emma, Harper, Chloe, Ethan, and Logan. Joseph asserted: \"Harper is a knight and Harper is a knave\". In a statement by Lily: \"Harper is a knight\". \"Joseph is not a knave,\" Emma declared. In Harper's words: \"Chloe is a knight\". Chloe noted, \"If Lily is a knave then Emma is a knave\". In a statement by Ethan: \"Joseph is a knight and Logan is a knave\". Logan said that Ethan is a knave. So who is a knight and who is a knave?", "names": ["Joseph", "Lily", "Emma", "Harper", "Chloe", "Ethan", "Logan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true, true, false, true], "solution_text": "Joseph is a knave, Lily is a knight, Emma is a knave, Harper is a knight, Chloe is a knight, Ethan is a knave, and Logan is a knight.", "solution_text_format": "(1) Joseph is a knave\n(2) Lily is a knight\n(3) Emma is a knave\n(4) Harper is a knight\n(5) Chloe is a knight\n(6) Ethan is a knave\n(7) Logan is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Joseph cannot be a knight, because this would contradict the claim of their own that Harper is a knight and Harper is a knave.", "Assume Joseph is a knave. No contradiction is found in their false claim that Harper is a knight and Harper is a knave.", "Assume Harper is a knight. No contradiction is found in their claim that Chloe is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that If Lily is a knave then Emma is a knave.", "Assume Lily is a knight. No contradiction is found in their claim that Harper is a knight.", "Emma cannot be a knight, because this would contradict the claim of their own that Joseph is not a knave.", "Assume Emma is a knave. No contradiction is found in their false claim that Joseph is not a knave.", "Ethan cannot be a knight, because this would contradict the claim of their own that Joseph is a knight and Logan is a knave.", "Assume Ethan is a knave. No contradiction is found in their false claim that Joseph is a knight and Logan is a knave.", "Assume Logan is a knight. No contradiction is found in their claim that Ethan is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 3), ('lying', 3)), ('telling-truth', 3), ('not', ('lying', 0)), ('telling-truth', 4), ('->', ('lying', 1), ('lying', 2)), ('and', ('telling-truth', 0), ('lying', 6)), ('lying', 5))", "index": 297}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Aiden, Joseph, Grace, Aurora, Sophia, Chloe, and Liam. Aiden said that Liam is a knave if and only if Joseph is a knave. \"If Grace is a knave then Liam is a knave,\" Joseph mentioned. According to Grace, \"Sophia is a knave\". Aurora said that If Aiden is a knave then Grace is a knight. Sophia asserted: \"Chloe is a knave if and only if Aiden is a knight\". \"Grace is not a knight,\" Chloe mentioned. According to Liam, \"Aurora is not a knave\". So who is a knight and who is a knave?", "names": ["Aiden", "Joseph", "Grace", "Aurora", "Sophia", "Chloe", "Liam"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false, true, true, false], "solution_text": "Aiden is a knave, Joseph is a knight, Grace is a knave, Aurora is a knave, Sophia is a knight, Chloe is a knight, and Liam is a knave.", "solution_text_format": "(1) Aiden is a knave\n(2) Joseph is a knight\n(3) Grace is a knave\n(4) Aurora is a knave\n(5) Sophia is a knight\n(6) Chloe is a knight\n(7) Liam is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aiden is a knight. No contradiction is found in their claim that Liam is a knave if and only if Joseph is a knave.", "Assume Liam is a knight. No contradiction is found in their claim that Aurora is not a knave.", "Assume Aurora is a knight. No contradiction is found in their claim that If Aiden is a knave then Grace is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that Sophia is a knave.", "Sophia cannot be a knight, because this would contradict the claim of Grace that Sophia is a knave.", "Assume Sophia is a knave. No contradiction is found in their false claim that Chloe is a knave if and only if Aiden is a knight.", "Chloe cannot be a knight, because this would contradict the claim of their own that Grace is not a knight.", "Chloe cannot be a knave, because this would contradict the false claim of Sophia that Chloe is a knave if and only if Aiden is a knight.", "We have exhausted all possibilities for Chloe and Sophia, so let us go back and reconsider Grace.", "Assume Grace is a knave. No contradiction is found in their false claim that Sophia is a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that Chloe is a knave if and only if Aiden is a knight.", "Chloe cannot be a knight, because this would contradict the claim of Sophia that Chloe is a knave if and only if Aiden is a knight.", "Chloe cannot be a knave, because this would contradict the false claim of their own that Grace is not a knight.", "We have exhausted all possibilities for Chloe, so let us go back and reconsider Sophia.", "Sophia cannot be a knave, because this would contradict the false claim of Grace that Sophia is a knave.", "We have exhausted all possibilities for Sophia and Grace, so let us go back and reconsider Aurora.", "Aurora cannot be a knave, because this would contradict the false claim of their own that If Aiden is a knave then Grace is a knight.", "We have exhausted all possibilities for Aurora, so let us go back and reconsider Liam.", "Assume Liam is a knave. No contradiction is found in their false claim that Aurora is not a knave.", "Aurora cannot be a knight, because this would contradict the false claim of Liam that Aurora is not a knave.", "Aurora cannot be a knave, because this would contradict the false claim of their own that If Aiden is a knave then Grace is a knight.", "We have exhausted all possibilities for Aurora and Liam, so let us go back and reconsider Aiden.", "Assume Aiden is a knave. No contradiction is found in their false claim that Liam is a knave if and only if Joseph is a knave.", "Assume Liam is a knight. No contradiction is found in their claim that Aurora is not a knave.", "Assume Aurora is a knight. No contradiction is found in their claim that If Aiden is a knave then Grace is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that Sophia is a knave.", "Sophia cannot be a knight, because this would contradict the claim of Grace that Sophia is a knave.", "Assume Sophia is a knave. No contradiction is found in their false claim that Chloe is a knave if and only if Aiden is a knight.", "Chloe cannot be a knight, because this would contradict the false claim of Sophia that Chloe is a knave if and only if Aiden is a knight.", "Assume Chloe is a knave. No contradiction is found in their false claim that Grace is not a knight.", "Joseph cannot be a knight, because this would contradict the false claim of Aiden that Liam is a knave if and only if Joseph is a knave.", "Joseph cannot be a knave, because this would contradict the false claim of their own that If Grace is a knave then Liam is a knave.", "We have exhausted all possibilities for Joseph, Chloe, and Sophia, so let us go back and reconsider Grace.", "Grace cannot be a knave, because this would contradict the claim of Aurora that If Aiden is a knave then Grace is a knight.", "We have exhausted all possibilities for Grace, so let us go back and reconsider Aurora.", "Aurora cannot be a knave, because this would contradict the claim of Liam that Aurora is not a knave.", "We have exhausted all possibilities for Aurora, so let us go back and reconsider Liam.", "Assume Liam is a knave. No contradiction is found in their false claim that Aurora is not a knave.", "Aurora cannot be a knight, because this would contradict the false claim of Liam that Aurora is not a knave.", "Assume Aurora is a knave. No contradiction is found in their false claim that If Aiden is a knave then Grace is a knight.", "Grace cannot be a knight, because this would contradict the false claim of Aurora that If Aiden is a knave then Grace is a knight.", "Assume Grace is a knave. No contradiction is found in their false claim that Sophia is a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that Chloe is a knave if and only if Aiden is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that Grace is not a knight.", "Assume Joseph is a knight. No contradiction is found in their claim that If Grace is a knave then Liam is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 6), ('lying', 1)), ('->', ('lying', 2), ('lying', 6)), ('lying', 4), ('->', ('lying', 0), ('telling-truth', 2)), ('<=>', ('lying', 5), ('telling-truth', 0)), ('not', ('telling-truth', 2)), ('not', ('lying', 3)))", "index": 298}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: James, Joseph, Ella, Mason, Daniel, Olivia, and Sophia. James said, \"Sophia is not a knight.\" Joseph said that Mason is not a knave. In a statement by Ella: \"Sophia is a knave if and only if James is a knight\". Mason asserted: \"Olivia is a knight\". Daniel expressed that Mason is a knave if and only if Ella is a knave. Olivia was heard saying, \"Joseph is a knight or Ella is a knight\". Sophia was heard saying, \"Mason is a knight if and only if Mason is a knave\". So who is a knight and who is a knave?", "names": ["James", "Joseph", "Ella", "Mason", "Daniel", "Olivia", "Sophia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, true, true, false], "solution_text": "James is a knight, Joseph is a knight, Ella is a knight, Mason is a knight, Daniel is a knight, Olivia is a knight, and Sophia is a knave.", "solution_text_format": "(1) James is a knight\n(2) Joseph is a knight\n(3) Ella is a knight\n(4) Mason is a knight\n(5) Daniel is a knight\n(6) Olivia is a knight\n(7) Sophia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume James is a knight. No contradiction is found in their claim that Sophia is not a knight.", "Sophia cannot be a knight, because this would contradict the claim of James that Sophia is not a knight.", "Assume Sophia is a knave. No contradiction is found in their false claim that Mason is a knight if and only if Mason is a knave.", "Assume Mason is a knight. No contradiction is found in their claim that Olivia is a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that Joseph is a knight or Ella is a knight.", "Assume Joseph is a knight. No contradiction is found in their claim that Mason is not a knave.", "Assume Ella is a knight. No contradiction is found in their claim that Sophia is a knave if and only if James is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that Mason is a knave if and only if Ella is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 6)), ('not', ('lying', 3)), ('<=>', ('lying', 6), ('telling-truth', 0)), ('telling-truth', 5), ('<=>', ('lying', 3), ('lying', 2)), ('or', ('telling-truth', 1), ('telling-truth', 2)), ('<=>', ('telling-truth', 3), ('lying', 3)))", "index": 299}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Ava, Owen, Noah, Aria, Liam, Matthew, and Joseph. Ava commented, \"Liam is not a knave\". Owen expressed that Ava is not a knave. Noah told you that Joseph is a knight. In a statement by Aria: \"Liam is not a knight\". \"If Owen is a knave then Aria is a knight\" - Liam. \"Ava is a knight or Joseph is a knight,\" Matthew mentioned. Joseph asserted: \"Liam is not a knight\". So who is a knight and who is a knave?", "names": ["Ava", "Owen", "Noah", "Aria", "Liam", "Matthew", "Joseph"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false, true, true, false], "solution_text": "Ava is a knight, Owen is a knight, Noah is a knave, Aria is a knave, Liam is a knight, Matthew is a knight, and Joseph is a knave.", "solution_text_format": "(1) Ava is a knight\n(2) Owen is a knight\n(3) Noah is a knave\n(4) Aria is a knave\n(5) Liam is a knight\n(6) Matthew is a knight\n(7) Joseph is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ava is a knight. No contradiction is found in their claim that Liam is not a knave.", "Assume Liam is a knight. No contradiction is found in their claim that If Owen is a knave then Aria is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that Ava is not a knave.", "Aria cannot be a knight, because this would contradict the claim of their own that Liam is not a knight.", "Assume Aria is a knave. No contradiction is found in their false claim that Liam is not a knight.", "Assume Noah is a knight. No contradiction is found in their claim that Joseph is a knight.", "Joseph cannot be a knight, because this would contradict the claim of their own that Liam is not a knight.", "Joseph cannot be a knave, because this would contradict the claim of Noah that Joseph is a knight.", "We have exhausted all possibilities for Joseph, so let us go back and reconsider Noah.", "Assume Noah is a knave. No contradiction is found in their false claim that Joseph is a knight.", "Joseph cannot be a knight, because this would contradict the false claim of Noah that Joseph is a knight.", "Assume Joseph is a knave. No contradiction is found in their false claim that Liam is not a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that Ava is a knight or Joseph is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 4)), ('not', ('lying', 0)), ('telling-truth', 6), ('not', ('telling-truth', 4)), ('->', ('lying', 1), ('telling-truth', 3)), ('or', ('telling-truth', 0), ('telling-truth', 6)), ('not', ('telling-truth', 4)))", "index": 300}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Scarlett, Jackson, Luke, Victoria, Henry, Zoey, and Lily. \"Henry is a knave and Luke is a knight\" - Scarlett. As Jackson put it, \"If Luke is a knight then Luke is a knave\". \"Lily is a knight or Victoria is a knave\" - Luke. According to Victoria, \"Lily is not a knave\". \"If Luke is a knave then Victoria is a knight,\" Henry claimed. \"Henry is a knave and Luke is a knave,\" Zoey claimed. \"If Scarlett is a knave then Luke is a knight,\" Lily declared. So who is a knight and who is a knave?", "names": ["Scarlett", "Jackson", "Luke", "Victoria", "Henry", "Zoey", "Lily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true, true, false, true], "solution_text": "Scarlett is a knave, Jackson is a knave, Luke is a knight, Victoria is a knight, Henry is a knight, Zoey is a knave, and Lily is a knight.", "solution_text_format": "(1) Scarlett is a knave\n(2) Jackson is a knave\n(3) Luke is a knight\n(4) Victoria is a knight\n(5) Henry is a knight\n(6) Zoey is a knave\n(7) Lily is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Scarlett is a knight. No contradiction is found in their claim that Henry is a knave and Luke is a knight.", "Henry cannot be a knight, because this would contradict the claim of Scarlett that Henry is a knave and Luke is a knight.", "Assume Henry is a knave. No contradiction is found in their false claim that If Luke is a knave then Victoria is a knight.", "Luke cannot be a knight, because this would contradict the false claim of Henry that If Luke is a knave then Victoria is a knight.", "Luke cannot be a knave, because this would contradict the claim of Scarlett that Henry is a knave and Luke is a knight.", "We have exhausted all possibilities for Luke and Henry, so let us go back and reconsider Scarlett.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Henry is a knave and Luke is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that If Luke is a knave then Victoria is a knight.", "Assume Luke is a knight. No contradiction is found in their claim that Lily is a knight or Victoria is a knave.", "Assume Lily is a knight. No contradiction is found in their claim that If Scarlett is a knave then Luke is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that Lily is not a knave.", "Jackson cannot be a knight, because this would contradict the claim of their own that If Luke is a knight then Luke is a knave.", "Assume Jackson is a knave. No contradiction is found in their false claim that If Luke is a knight then Luke is a knave.", "Zoey cannot be a knight, because this would contradict the claim of their own that Henry is a knave and Luke is a knave.", "Assume Zoey is a knave. No contradiction is found in their false claim that Henry is a knave and Luke is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 4), ('telling-truth', 2)), ('->', ('telling-truth', 2), ('lying', 2)), ('or', ('telling-truth', 6), ('lying', 3)), ('not', ('lying', 6)), ('->', ('lying', 2), ('telling-truth', 3)), ('and', ('lying', 4), ('lying', 2)), ('->', ('lying', 0), ('telling-truth', 2)))", "index": 301}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Joseph, Charlotte, Logan, Sebastian, Lucas, Emily, and Alexander. Joseph remarked, \"Lucas is not a knave\". According to Charlotte, \"Sebastian is a knight\". Logan stated, \"Sebastian is a knight if and only if Alexander is a knight\". According to Sebastian, \"Alexander is not a knight\". As Lucas put it, \"Logan is a knave\". \"Alexander is a knight,\" Emily mentioned. Alexander expressed that If Logan is a knave then Lucas is a knave. So who is a knight and who is a knave?", "names": ["Joseph", "Charlotte", "Logan", "Sebastian", "Lucas", "Emily", "Alexander"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true, true, false, false], "solution_text": "Joseph is a knight, Charlotte is a knight, Logan is a knave, Sebastian is a knight, Lucas is a knight, Emily is a knave, and Alexander is a knave.", "solution_text_format": "(1) Joseph is a knight\n(2) Charlotte is a knight\n(3) Logan is a knave\n(4) Sebastian is a knight\n(5) Lucas is a knight\n(6) Emily is a knave\n(7) Alexander is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Joseph is a knight. No contradiction is found in their claim that Lucas is not a knave.", "Assume Lucas is a knight. No contradiction is found in their claim that Logan is a knave.", "Logan cannot be a knight, because this would contradict the claim of Lucas that Logan is a knave.", "Assume Logan is a knave. No contradiction is found in their false claim that Sebastian is a knight if and only if Alexander is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Alexander is not a knight.", "Alexander cannot be a knight, because this would contradict the false claim of Logan that Sebastian is a knight if and only if Alexander is a knight.", "Assume Alexander is a knave. No contradiction is found in their false claim that If Logan is a knave then Lucas is a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that Sebastian is a knight.", "Emily cannot be a knight, because this would contradict the claim of their own that Alexander is a knight.", "Assume Emily is a knave. No contradiction is found in their false claim that Alexander is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 4)), ('telling-truth', 3), ('<=>', ('telling-truth', 3), ('telling-truth', 6)), ('not', ('telling-truth', 6)), ('lying', 2), ('telling-truth', 6), ('->', ('lying', 2), ('lying', 4)))", "index": 302}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: James, Olivia, Penelope, Matthew, Chloe, Jack, and Luke. In a statement by James: \"Chloe is a knave and Luke is a knight\". \"James is a knight or Luke is a knave\" - Olivia. Penelope said, \"Luke is a knight.\" In Matthew's words: \"Jack is a knave or James is a knave\". Chloe remarked, \"If Olivia is a knave then James is a knave\". \"James is a knight\" - Jack. Luke told you that Jack is a knight if and only if Jack is a knave. So who is a knight and who is a knave?", "names": ["James", "Olivia", "Penelope", "Matthew", "Chloe", "Jack", "Luke"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true, true, false, false], "solution_text": "James is a knave, Olivia is a knight, Penelope is a knave, Matthew is a knight, Chloe is a knight, Jack is a knave, and Luke is a knave.", "solution_text_format": "(1) James is a knave\n(2) Olivia is a knight\n(3) Penelope is a knave\n(4) Matthew is a knight\n(5) Chloe is a knight\n(6) Jack is a knave\n(7) Luke is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume James is a knight. No contradiction is found in their claim that Chloe is a knave and Luke is a knight.", "Chloe cannot be a knight, because this would contradict the claim of James that Chloe is a knave and Luke is a knight.", "Assume Chloe is a knave. No contradiction is found in their false claim that If Olivia is a knave then James is a knave.", "Olivia cannot be a knight, because this would contradict the false claim of Chloe that If Olivia is a knave then James is a knave.", "Olivia cannot be a knave, because this would contradict the false claim of their own that James is a knight or Luke is a knave.", "We have exhausted all possibilities for Olivia and Chloe, so let us go back and reconsider James.", "Assume James is a knave. No contradiction is found in their false claim that Chloe is a knave and Luke is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that If Olivia is a knave then James is a knave.", "Assume Olivia is a knight. No contradiction is found in their claim that James is a knight or Luke is a knave.", "Luke cannot be a knight, because this would contradict the claim of Olivia that James is a knight or Luke is a knave.", "Assume Luke is a knave. No contradiction is found in their false claim that Jack is a knight if and only if Jack is a knave.", "Jack cannot be a knight, because this would contradict the claim of their own that James is a knight.", "Assume Jack is a knave. No contradiction is found in their false claim that James is a knight.", "Penelope cannot be a knight, because this would contradict the claim of their own that Luke is a knight.", "Assume Penelope is a knave. No contradiction is found in their false claim that Luke is a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that Jack is a knave or James is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 4), ('telling-truth', 6)), ('or', ('telling-truth', 0), ('lying', 6)), ('telling-truth', 6), ('or', ('lying', 5), ('lying', 0)), ('->', ('lying', 1), ('lying', 0)), ('telling-truth', 0), ('<=>', ('telling-truth', 5), ('lying', 5)))", "index": 303}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Michael, Ella, Elizabeth, Jacob, Mia, Charlotte, and Liam. Michael commented, \"Liam is a knave or Jacob is a knight\". Ella told you that If Jacob is a knight then Liam is a knave. Elizabeth expressed that Charlotte is a knave. In Jacob's words: \"Liam is a knight\". \"Michael is a knight or Ella is a knave,\" Mia claimed. Charlotte said, \"If Jacob is a knave then Jacob is a knight.\" Liam noted, \"If Charlotte is a knight then Ella is a knave\". So who is a knight and who is a knave?", "names": ["Michael", "Ella", "Elizabeth", "Jacob", "Mia", "Charlotte", "Liam"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, true, true, true], "solution_text": "Michael is a knight, Ella is a knave, Elizabeth is a knave, Jacob is a knight, Mia is a knight, Charlotte is a knight, and Liam is a knight.", "solution_text_format": "(1) Michael is a knight\n(2) Ella is a knave\n(3) Elizabeth is a knave\n(4) Jacob is a knight\n(5) Mia is a knight\n(6) Charlotte is a knight\n(7) Liam is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Michael is a knight. No contradiction is found in their claim that Liam is a knave or Jacob is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that If Charlotte is a knight then Ella is a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that If Jacob is a knave then Jacob is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that Liam is a knight.", "Ella cannot be a knight, because this would contradict the claim of their own that If Jacob is a knight then Liam is a knave.", "Assume Ella is a knave. No contradiction is found in their false claim that If Jacob is a knight then Liam is a knave.", "Elizabeth cannot be a knight, because this would contradict the claim of their own that Charlotte is a knave.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Charlotte is a knave.", "Assume Mia is a knight. No contradiction is found in their claim that Michael is a knight or Ella is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 6), ('telling-truth', 3)), ('->', ('telling-truth', 3), ('lying', 6)), ('lying', 5), ('telling-truth', 6), ('or', ('telling-truth', 0), ('lying', 1)), ('->', ('lying', 3), ('telling-truth', 3)), ('->', ('telling-truth', 5), ('lying', 1)))", "index": 304}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Victoria, Aiden, Daniel, Sofia, Evelyn, Abigail, and Oliver. Victoria said, \"Oliver is a knave.\" In a statement by Aiden: \"If Sofia is a knight then Victoria is a knave\". Daniel told you that Oliver is a knave and Sofia is a knave. Sofia stated, \"If Daniel is a knight then Victoria is a knight\". Evelyn remarked, \"Oliver is a knave if and only if Victoria is a knave\". Abigail said that Sofia is a knight and Daniel is a knave. \"Victoria is a knight or Daniel is a knave,\" Oliver mentioned. So who is a knight and who is a knave?", "names": ["Victoria", "Aiden", "Daniel", "Sofia", "Evelyn", "Abigail", "Oliver"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true, false, true, true], "solution_text": "Victoria is a knave, Aiden is a knight, Daniel is a knave, Sofia is a knight, Evelyn is a knave, Abigail is a knight, and Oliver is a knight.", "solution_text_format": "(1) Victoria is a knave\n(2) Aiden is a knight\n(3) Daniel is a knave\n(4) Sofia is a knight\n(5) Evelyn is a knave\n(6) Abigail is a knight\n(7) Oliver is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Victoria is a knight. No contradiction is found in their claim that Oliver is a knave.", "Oliver cannot be a knight, because this would contradict the claim of Victoria that Oliver is a knave.", "Oliver cannot be a knave, because this would contradict the false claim of their own that Victoria is a knight or Daniel is a knave.", "We have exhausted all possibilities for Oliver, so let us go back and reconsider Victoria.", "Assume Victoria is a knave. No contradiction is found in their false claim that Oliver is a knave.", "Assume Oliver is a knight. No contradiction is found in their claim that Victoria is a knight or Daniel is a knave.", "Daniel cannot be a knight, because this would contradict the claim of their own that Oliver is a knave and Sofia is a knave.", "Assume Daniel is a knave. No contradiction is found in their false claim that Oliver is a knave and Sofia is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that If Daniel is a knight then Victoria is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that If Sofia is a knight then Victoria is a knave.", "Evelyn cannot be a knight, because this would contradict the claim of their own that Oliver is a knave if and only if Victoria is a knave.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Oliver is a knave if and only if Victoria is a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that Sofia is a knight and Daniel is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 6), ('->', ('telling-truth', 3), ('lying', 0)), ('and', ('lying', 6), ('lying', 3)), ('->', ('telling-truth', 2), ('telling-truth', 0)), ('<=>', ('lying', 6), ('lying', 0)), ('and', ('telling-truth', 3), ('lying', 2)), ('or', ('telling-truth', 0), ('lying', 2)))", "index": 305}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Henry, Michael, Matthew, Benjamin, Mason, Alexander, and Charlotte. \"Matthew is not a knight,\" Henry claimed. Michael noted, \"If Henry is a knave then Charlotte is a knight\". Matthew commented, \"Charlotte is a knight or Alexander is a knight\". Benjamin noted, \"Michael is a knight if and only if Matthew is a knave\". Mason commented, \"Benjamin is a knight\". According to Alexander, \"Alexander is a knight or Mason is a knight\". \"Michael is a knave or Alexander is a knave,\" Charlotte mentioned. So who is a knight and who is a knave?", "names": ["Henry", "Michael", "Matthew", "Benjamin", "Mason", "Alexander", "Charlotte"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false, false, false, true], "solution_text": "Henry is a knave, Michael is a knight, Matthew is a knight, Benjamin is a knave, Mason is a knave, Alexander is a knave, and Charlotte is a knight.", "solution_text_format": "(1) Henry is a knave\n(2) Michael is a knight\n(3) Matthew is a knight\n(4) Benjamin is a knave\n(5) Mason is a knave\n(6) Alexander is a knave\n(7) Charlotte is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Henry is a knight. No contradiction is found in their claim that Matthew is not a knight.", "Matthew cannot be a knight, because this would contradict the claim of Henry that Matthew is not a knight.", "Assume Matthew is a knave. No contradiction is found in their false claim that Charlotte is a knight or Alexander is a knight.", "Charlotte cannot be a knight, because this would contradict the false claim of Matthew that Charlotte is a knight or Alexander is a knight.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Michael is a knave or Alexander is a knave.", "Assume Michael is a knight. No contradiction is found in their claim that If Henry is a knave then Charlotte is a knight.", "Alexander cannot be a knight, because this would contradict the false claim of Matthew that Charlotte is a knight or Alexander is a knight.", "Alexander cannot be a knave, because this would contradict the false claim of Charlotte that Michael is a knave or Alexander is a knave.", "We have exhausted all possibilities for Alexander, so let us go back and reconsider Michael.", "Michael cannot be a knave, because this would contradict the false claim of their own that If Henry is a knave then Charlotte is a knight.", "We have exhausted all possibilities for Michael, Charlotte, and Matthew, so let us go back and reconsider Henry.", "Assume Henry is a knave. No contradiction is found in their false claim that Matthew is not a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that Charlotte is a knight or Alexander is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that Michael is a knave or Alexander is a knave.", "Assume Michael is a knight. No contradiction is found in their claim that If Henry is a knave then Charlotte is a knight.", "Alexander cannot be a knight, because this would contradict the claim of Charlotte that Michael is a knave or Alexander is a knave.", "Assume Alexander is a knave. No contradiction is found in their false claim that Alexander is a knight or Mason is a knight.", "Mason cannot be a knight, because this would contradict the false claim of Alexander that Alexander is a knight or Mason is a knight.", "Assume Mason is a knave. No contradiction is found in their false claim that Benjamin is a knight.", "Benjamin cannot be a knight, because this would contradict the claim of their own that Michael is a knight if and only if Matthew is a knave.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Michael is a knight if and only if Matthew is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 2)), ('->', ('lying', 0), ('telling-truth', 6)), ('or', ('telling-truth', 6), ('telling-truth', 5)), ('<=>', ('telling-truth', 1), ('lying', 2)), ('telling-truth', 3), ('or', ('telling-truth', 5), ('telling-truth', 4)), ('or', ('lying', 1), ('lying', 5)))", "index": 306}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Aria, Victoria, Michael, Lily, Emma, Ella, and Olivia. Aria remarked, \"Michael is a knight if and only if Ella is a knight\". Victoria asserted: \"Lily is a knight or Victoria is a knight\". \"Lily is a knight,\" Michael claimed. Lily said that Victoria is a knave. Emma was heard saying, \"Aria is a knave if and only if Emma is a knight\". Ella expressed that Lily is a knight or Emma is a knave. Olivia noted, \"Lily is a knight and Ella is a knight\". So who is a knight and who is a knave?", "names": ["Aria", "Victoria", "Michael", "Lily", "Emma", "Ella", "Olivia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false, false, true, false], "solution_text": "Aria is a knave, Victoria is a knight, Michael is a knave, Lily is a knave, Emma is a knave, Ella is a knight, and Olivia is a knave.", "solution_text_format": "(1) Aria is a knave\n(2) Victoria is a knight\n(3) Michael is a knave\n(4) Lily is a knave\n(5) Emma is a knave\n(6) Ella is a knight\n(7) Olivia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aria is a knight. No contradiction is found in their claim that Michael is a knight if and only if Ella is a knight.", "Assume Michael is a knight. No contradiction is found in their claim that Lily is a knight.", "Assume Lily is a knight. No contradiction is found in their claim that Victoria is a knave.", "Victoria cannot be a knight, because this would contradict the claim of Lily that Victoria is a knave.", "Victoria cannot be a knave, because this would contradict the false claim of their own that Lily is a knight or Victoria is a knight.", "We have exhausted all possibilities for Victoria, so let us go back and reconsider Lily.", "Lily cannot be a knave, because this would contradict the claim of Michael that Lily is a knight.", "We have exhausted all possibilities for Lily, so let us go back and reconsider Michael.", "Assume Michael is a knave. No contradiction is found in their false claim that Lily is a knight.", "Lily cannot be a knight, because this would contradict the false claim of Michael that Lily is a knight.", "Assume Lily is a knave. No contradiction is found in their false claim that Victoria is a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that Lily is a knight or Victoria is a knight.", "Ella cannot be a knight, because this would contradict the claim of Aria that Michael is a knight if and only if Ella is a knight.", "Assume Ella is a knave. No contradiction is found in their false claim that Lily is a knight or Emma is a knave.", "Emma cannot be a knight, because this would contradict the claim of their own that Aria is a knave if and only if Emma is a knight.", "Emma cannot be a knave, because this would contradict the false claim of their own that Aria is a knave if and only if Emma is a knight.", "We have exhausted all possibilities for Emma and Ella, so let us go back and reconsider Victoria.", "Victoria cannot be a knave, because this would contradict the false claim of Lily that Victoria is a knave.", "We have exhausted all possibilities for Victoria, Lily, and Michael, so let us go back and reconsider Aria.", "Assume Aria is a knave. No contradiction is found in their false claim that Michael is a knight if and only if Ella is a knight.", "Assume Michael is a knight. No contradiction is found in their claim that Lily is a knight.", "Assume Lily is a knight. No contradiction is found in their claim that Victoria is a knave.", "Victoria cannot be a knight, because this would contradict the claim of Lily that Victoria is a knave.", "Victoria cannot be a knave, because this would contradict the false claim of their own that Lily is a knight or Victoria is a knight.", "We have exhausted all possibilities for Victoria, so let us go back and reconsider Lily.", "Lily cannot be a knave, because this would contradict the claim of Michael that Lily is a knight.", "We have exhausted all possibilities for Lily, so let us go back and reconsider Michael.", "Assume Michael is a knave. No contradiction is found in their false claim that Lily is a knight.", "Lily cannot be a knight, because this would contradict the false claim of Michael that Lily is a knight.", "Assume Lily is a knave. No contradiction is found in their false claim that Victoria is a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that Lily is a knight or Victoria is a knight.", "Assume Ella is a knight. No contradiction is found in their claim that Lily is a knight or Emma is a knave.", "Emma cannot be a knight, because this would contradict the claim of Ella that Lily is a knight or Emma is a knave.", "Assume Emma is a knave. No contradiction is found in their false claim that Aria is a knave if and only if Emma is a knight.", "Olivia cannot be a knight, because this would contradict the claim of their own that Lily is a knight and Ella is a knight.", "Assume Olivia is a knave. No contradiction is found in their false claim that Lily is a knight and Ella is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 2), ('telling-truth', 5)), ('or', ('telling-truth', 3), ('telling-truth', 1)), ('telling-truth', 3), ('lying', 1), ('<=>', ('lying', 0), ('telling-truth', 4)), ('or', ('telling-truth', 3), ('lying', 4)), ('and', ('telling-truth', 3), ('telling-truth', 5)))", "index": 307}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Matthew, Olivia, Scarlett, Jack, Emily, Henry, and Amelia. Matthew stated, \"Jack is not a knight\". \"Henry is not a knave,\" Olivia mentioned. Scarlett said that Jack is a knave if and only if Henry is a knave. In Jack's words: \"Emily is a knight if and only if Emily is a knave\". In Emily's words: \"Scarlett is a knave if and only if Olivia is a knave\". \"Emily is a knight,\" Henry claimed. Amelia noted, \"Emily is a knave if and only if Olivia is a knave\". So who is a knight and who is a knave?", "names": ["Matthew", "Olivia", "Scarlett", "Jack", "Emily", "Henry", "Amelia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false, false, false, true], "solution_text": "Matthew is a knight, Olivia is a knave, Scarlett is a knight, Jack is a knave, Emily is a knave, Henry is a knave, and Amelia is a knight.", "solution_text_format": "(1) Matthew is a knight\n(2) Olivia is a knave\n(3) Scarlett is a knight\n(4) Jack is a knave\n(5) Emily is a knave\n(6) Henry is a knave\n(7) Amelia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Matthew is a knight. No contradiction is found in their claim that Jack is not a knight.", "Jack cannot be a knight, because this would contradict the claim of Matthew that Jack is not a knight.", "Assume Jack is a knave. No contradiction is found in their false claim that Emily is a knight if and only if Emily is a knave.", "Assume Emily is a knight. No contradiction is found in their claim that Scarlett is a knave if and only if Olivia is a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that Jack is a knave if and only if Henry is a knave.", "Henry cannot be a knight, because this would contradict the claim of Scarlett that Jack is a knave if and only if Henry is a knave.", "Henry cannot be a knave, because this would contradict the false claim of their own that Emily is a knight.", "We have exhausted all possibilities for Henry, so let us go back and reconsider Scarlett.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Jack is a knave if and only if Henry is a knave.", "Assume Henry is a knight. No contradiction is found in their claim that Emily is a knight.", "Olivia cannot be a knight, because this would contradict the claim of Emily that Scarlett is a knave if and only if Olivia is a knave.", "Olivia cannot be a knave, because this would contradict the false claim of their own that Henry is not a knave.", "We have exhausted all possibilities for Olivia, so let us go back and reconsider Henry.", "Henry cannot be a knave, because this would contradict the false claim of Scarlett that Jack is a knave if and only if Henry is a knave.", "We have exhausted all possibilities for Henry and Scarlett, so let us go back and reconsider Emily.", "Assume Emily is a knave. No contradiction is found in their false claim that Scarlett is a knave if and only if Olivia is a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that Jack is a knave if and only if Henry is a knave.", "Henry cannot be a knight, because this would contradict the claim of Scarlett that Jack is a knave if and only if Henry is a knave.", "Assume Henry is a knave. No contradiction is found in their false claim that Emily is a knight.", "Olivia cannot be a knight, because this would contradict the claim of their own that Henry is not a knave.", "Assume Olivia is a knave. No contradiction is found in their false claim that Henry is not a knave.", "Assume Amelia is a knight. No contradiction is found in their claim that Emily is a knave if and only if Olivia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 3)), ('not', ('lying', 5)), ('<=>', ('lying', 3), ('lying', 5)), ('<=>', ('telling-truth', 4), ('lying', 4)), ('<=>', ('lying', 2), ('lying', 1)), ('telling-truth', 4), ('<=>', ('lying', 4), ('lying', 1)))", "index": 308}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Luke, Amelia, Chloe, Aiden, Jack, Oliver, and Noah. Luke said that Jack is not a knight. As Amelia put it, \"Chloe is a knight if and only if Luke is a knave\". Chloe commented, \"Aiden is a knave or Jack is a knight\". \"Oliver is a knave,\" Aiden declared. Jack told you that Chloe is a knight or Aiden is a knight. \"Jack is a knave,\" Oliver declared. Noah stated, \"Luke is a knight if and only if Jack is a knight\". So who is a knight and who is a knave?", "names": ["Luke", "Amelia", "Chloe", "Aiden", "Jack", "Oliver", "Noah"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, true, false, false], "solution_text": "Luke is a knave, Amelia is a knight, Chloe is a knight, Aiden is a knight, Jack is a knight, Oliver is a knave, and Noah is a knave.", "solution_text_format": "(1) Luke is a knave\n(2) Amelia is a knight\n(3) Chloe is a knight\n(4) Aiden is a knight\n(5) Jack is a knight\n(6) Oliver is a knave\n(7) Noah is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Luke is a knight. No contradiction is found in their claim that Jack is not a knight.", "Jack cannot be a knight, because this would contradict the claim of Luke that Jack is not a knight.", "Assume Jack is a knave. No contradiction is found in their false claim that Chloe is a knight or Aiden is a knight.", "Chloe cannot be a knight, because this would contradict the false claim of Jack that Chloe is a knight or Aiden is a knight.", "Assume Chloe is a knave. No contradiction is found in their false claim that Aiden is a knave or Jack is a knight.", "Aiden cannot be a knight, because this would contradict the false claim of Jack that Chloe is a knight or Aiden is a knight.", "Aiden cannot be a knave, because this would contradict the false claim of Chloe that Aiden is a knave or Jack is a knight.", "We have exhausted all possibilities for Aiden, Chloe, and Jack, so let us go back and reconsider Luke.", "Assume Luke is a knave. No contradiction is found in their false claim that Jack is not a knight.", "Assume Jack is a knight. No contradiction is found in their claim that Chloe is a knight or Aiden is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that Aiden is a knave or Jack is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that Oliver is a knave.", "Oliver cannot be a knight, because this would contradict the claim of Aiden that Oliver is a knave.", "Assume Oliver is a knave. No contradiction is found in their false claim that Jack is a knave.", "Assume Amelia is a knight. No contradiction is found in their claim that Chloe is a knight if and only if Luke is a knave.", "Noah cannot be a knight, because this would contradict the claim of their own that Luke is a knight if and only if Jack is a knight.", "Assume Noah is a knave. No contradiction is found in their false claim that Luke is a knight if and only if Jack is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 4)), ('<=>', ('telling-truth', 2), ('lying', 0)), ('or', ('lying', 3), ('telling-truth', 4)), ('lying', 5), ('or', ('telling-truth', 2), ('telling-truth', 3)), ('lying', 4), ('<=>', ('telling-truth', 0), ('telling-truth', 4)))", "index": 309}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Ethan, Penelope, Abigail, James, Scarlett, Mia, and Harper. Ethan said that If James is a knave then James is a knight. Penelope noted, \"Harper is a knave if and only if Harper is a knight\". As Abigail put it, \"Harper is a knight\". James asserted: \"Ethan is a knave and James is a knight\". \"Harper is a knave if and only if Penelope is a knight,\" Scarlett declared. \"Ethan is a knight or Harper is a knight,\" Mia declared. In a statement by Harper: \"Ethan is a knave\". So who is a knight and who is a knave?", "names": ["Ethan", "Penelope", "Abigail", "James", "Scarlett", "Mia", "Harper"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false, true, true, true], "solution_text": "Ethan is a knave, Penelope is a knave, Abigail is a knight, James is a knave, Scarlett is a knight, Mia is a knight, and Harper is a knight.", "solution_text_format": "(1) Ethan is a knave\n(2) Penelope is a knave\n(3) Abigail is a knight\n(4) James is a knave\n(5) Scarlett is a knight\n(6) Mia is a knight\n(7) Harper is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ethan is a knight. No contradiction is found in their claim that If James is a knave then James is a knight.", "James cannot be a knight, because this would contradict the claim of their own that Ethan is a knave and James is a knight.", "James cannot be a knave, because this would contradict the claim of Ethan that If James is a knave then James is a knight.", "We have exhausted all possibilities for James, so let us go back and reconsider Ethan.", "Assume Ethan is a knave. No contradiction is found in their false claim that If James is a knave then James is a knight.", "James cannot be a knight, because this would contradict the false claim of Ethan that If James is a knave then James is a knight.", "Assume James is a knave. No contradiction is found in their false claim that Ethan is a knave and James is a knight.", "Penelope cannot be a knight, because this would contradict the claim of their own that Harper is a knave if and only if Harper is a knight.", "Assume Penelope is a knave. No contradiction is found in their false claim that Harper is a knave if and only if Harper is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that Ethan is a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that Harper is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that Harper is a knave if and only if Penelope is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that Ethan is a knight or Harper is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 3), ('telling-truth', 3)), ('<=>', ('lying', 6), ('telling-truth', 6)), ('telling-truth', 6), ('and', ('lying', 0), ('telling-truth', 3)), ('<=>', ('lying', 6), ('telling-truth', 1)), ('or', ('telling-truth', 0), ('telling-truth', 6)), ('lying', 0))", "index": 310}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Sophia, James, Liam, Mia, Harper, Oliver, and Avery. \"Harper is a knave if and only if Liam is a knight,\" Sophia mentioned. As James put it, \"Harper is a knight\". Liam noted, \"If Oliver is a knight then Harper is a knight\". Mia commented, \"If Mia is a knight then Liam is a knight\". Harper asserted: \"Oliver is a knight if and only if Avery is a knave\". Oliver stated, \"Avery is not a knave\". Avery said that Liam is a knight if and only if Sophia is a knave. So who is a knight and who is a knave?", "names": ["Sophia", "James", "Liam", "Mia", "Harper", "Oliver", "Avery"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, false, false, false], "solution_text": "Sophia is a knight, James is a knave, Liam is a knight, Mia is a knight, Harper is a knave, Oliver is a knave, and Avery is a knave.", "solution_text_format": "(1) Sophia is a knight\n(2) James is a knave\n(3) Liam is a knight\n(4) Mia is a knight\n(5) Harper is a knave\n(6) Oliver is a knave\n(7) Avery is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sophia is a knight. No contradiction is found in their claim that Harper is a knave if and only if Liam is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that Oliver is a knight if and only if Avery is a knave.", "Assume Oliver is a knight. No contradiction is found in their claim that Avery is not a knave.", "Avery cannot be a knight, because this would contradict the claim of Harper that Oliver is a knight if and only if Avery is a knave.", "Avery cannot be a knave, because this would contradict the claim of Oliver that Avery is not a knave.", "We have exhausted all possibilities for Avery, so let us go back and reconsider Oliver.", "Assume Oliver is a knave. No contradiction is found in their false claim that Avery is not a knave.", "Avery cannot be a knight, because this would contradict the false claim of Oliver that Avery is not a knave.", "Avery cannot be a knave, because this would contradict the claim of Harper that Oliver is a knight if and only if Avery is a knave.", "We have exhausted all possibilities for Avery and Oliver, so let us go back and reconsider Harper.", "Assume Harper is a knave. No contradiction is found in their false claim that Oliver is a knight if and only if Avery is a knave.", "Assume Oliver is a knight. No contradiction is found in their claim that Avery is not a knave.", "Assume Avery is a knight. No contradiction is found in their claim that Liam is a knight if and only if Sophia is a knave.", "Liam cannot be a knight, because this would contradict the claim of their own that If Oliver is a knight then Harper is a knight.", "Liam cannot be a knave, because this would contradict the claim of Sophia that Harper is a knave if and only if Liam is a knight.", "We have exhausted all possibilities for Liam, so let us go back and reconsider Avery.", "Avery cannot be a knave, because this would contradict the false claim of Harper that Oliver is a knight if and only if Avery is a knave.", "We have exhausted all possibilities for Avery, so let us go back and reconsider Oliver.", "Assume Oliver is a knave. No contradiction is found in their false claim that Avery is not a knave.", "Avery cannot be a knight, because this would contradict the false claim of Harper that Oliver is a knight if and only if Avery is a knave.", "Assume Avery is a knave. No contradiction is found in their false claim that Liam is a knight if and only if Sophia is a knave.", "Assume Liam is a knight. No contradiction is found in their claim that If Oliver is a knight then Harper is a knight.", "James cannot be a knight, because this would contradict the claim of their own that Harper is a knight.", "Assume James is a knave. No contradiction is found in their false claim that Harper is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that If Mia is a knight then Liam is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 4), ('telling-truth', 2)), ('telling-truth', 4), ('->', ('telling-truth', 5), ('telling-truth', 4)), ('->', ('telling-truth', 3), ('telling-truth', 2)), ('<=>', ('telling-truth', 5), ('lying', 6)), ('not', ('lying', 6)), ('<=>', ('telling-truth', 2), ('lying', 0)))", "index": 311}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Lucas, Charlotte, Zoey, Sofia, Elizabeth, David, and Benjamin. \"Zoey is not a knight\" - Lucas. Charlotte was heard saying, \"If David is a knight then Zoey is a knight\". \"David is a knave and Elizabeth is a knave,\" Zoey claimed. Sofia asserted: \"Elizabeth is not a knight\". \"Lucas is a knight if and only if Benjamin is a knave,\" Elizabeth declared. David remarked, \"Sofia is not a knave\". \"If Zoey is a knight then Elizabeth is a knight,\" Benjamin mentioned. So who is a knight and who is a knave?", "names": ["Lucas", "Charlotte", "Zoey", "Sofia", "Elizabeth", "David", "Benjamin"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, false, true, true], "solution_text": "Lucas is a knight, Charlotte is a knave, Zoey is a knave, Sofia is a knight, Elizabeth is a knave, David is a knight, and Benjamin is a knight.", "solution_text_format": "(1) Lucas is a knight\n(2) Charlotte is a knave\n(3) Zoey is a knave\n(4) Sofia is a knight\n(5) Elizabeth is a knave\n(6) David is a knight\n(7) Benjamin is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Lucas is a knight. No contradiction is found in their claim that Zoey is not a knight.", "Zoey cannot be a knight, because this would contradict the claim of Lucas that Zoey is not a knight.", "Assume Zoey is a knave. No contradiction is found in their false claim that David is a knave and Elizabeth is a knave.", "Assume David is a knight. No contradiction is found in their claim that Sofia is not a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that Elizabeth is not a knight.", "Elizabeth cannot be a knight, because this would contradict the claim of Sofia that Elizabeth is not a knight.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Lucas is a knight if and only if Benjamin is a knave.", "Assume Benjamin is a knight. No contradiction is found in their claim that If Zoey is a knight then Elizabeth is a knight.", "Charlotte cannot be a knight, because this would contradict the claim of their own that If David is a knight then Zoey is a knight.", "Assume Charlotte is a knave. No contradiction is found in their false claim that If David is a knight then Zoey is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 2)), ('->', ('telling-truth', 5), ('telling-truth', 2)), ('and', ('lying', 5), ('lying', 4)), ('not', ('telling-truth', 4)), ('<=>', ('telling-truth', 0), ('lying', 6)), ('not', ('lying', 3)), ('->', ('telling-truth', 2), ('telling-truth', 4)))", "index": 312}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Sebastian, Sofia, Chloe, Evelyn, Victoria, Emma, and Aurora. Sebastian said that Emma is a knave. \"If Emma is a knight then Sebastian is a knave,\" Sofia mentioned. In Chloe's words: \"Sofia is a knave\". Evelyn was heard saying, \"Emma is a knave\". Victoria remarked, \"If Chloe is a knight then Sofia is a knave\". Emma said, \"Evelyn is a knave or Evelyn is a knight.\" As Aurora put it, \"If Victoria is a knave then Victoria is a knight\". So who is a knight and who is a knave?", "names": ["Sebastian", "Sofia", "Chloe", "Evelyn", "Victoria", "Emma", "Aurora"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false, true, true, true], "solution_text": "Sebastian is a knave, Sofia is a knight, Chloe is a knave, Evelyn is a knave, Victoria is a knight, Emma is a knight, and Aurora is a knight.", "solution_text_format": "(1) Sebastian is a knave\n(2) Sofia is a knight\n(3) Chloe is a knave\n(4) Evelyn is a knave\n(5) Victoria is a knight\n(6) Emma is a knight\n(7) Aurora is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sebastian is a knight. No contradiction is found in their claim that Emma is a knave.", "Emma cannot be a knight, because this would contradict the claim of Sebastian that Emma is a knave.", "Emma cannot be a knave, because this would contradict the false claim of their own that Evelyn is a knave or Evelyn is a knight.", "We have exhausted all possibilities for Emma, so let us go back and reconsider Sebastian.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Emma is a knave.", "Assume Emma is a knight. No contradiction is found in their claim that Evelyn is a knave or Evelyn is a knight.", "Evelyn cannot be a knight, because this would contradict the claim of their own that Emma is a knave.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Emma is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that If Emma is a knight then Sebastian is a knave.", "Chloe cannot be a knight, because this would contradict the claim of their own that Sofia is a knave.", "Assume Chloe is a knave. No contradiction is found in their false claim that Sofia is a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that If Chloe is a knight then Sofia is a knave.", "Assume Aurora is a knight. No contradiction is found in their claim that If Victoria is a knave then Victoria is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 5), ('->', ('telling-truth', 5), ('lying', 0)), ('lying', 1), ('lying', 5), ('->', ('telling-truth', 2), ('lying', 1)), ('or', ('lying', 3), ('telling-truth', 3)), ('->', ('lying', 4), ('telling-truth', 4)))", "index": 313}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: William, Mason, Matthew, Avery, Samuel, Olivia, and Isabella. As William put it, \"Olivia is not a knave\". Mason remarked, \"William is a knight and Samuel is a knave\". Matthew noted, \"Avery is a knight and Avery is a knave\". \"Olivia is a knave and William is a knight,\" Avery declared. According to Samuel, \"If Olivia is a knight then Samuel is a knight\". Olivia asserted: \"Samuel is a knight if and only if Samuel is a knave\". Isabella said that Mason is a knight or Samuel is a knight. So who is a knight and who is a knave?", "names": ["William", "Mason", "Matthew", "Avery", "Samuel", "Olivia", "Isabella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, false, true, false, true], "solution_text": "William is a knave, Mason is a knave, Matthew is a knave, Avery is a knave, Samuel is a knight, Olivia is a knave, and Isabella is a knight.", "solution_text_format": "(1) William is a knave\n(2) Mason is a knave\n(3) Matthew is a knave\n(4) Avery is a knave\n(5) Samuel is a knight\n(6) Olivia is a knave\n(7) Isabella is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume William is a knight. No contradiction is found in their claim that Olivia is not a knave.", "Olivia cannot be a knight, because this would contradict the claim of their own that Samuel is a knight if and only if Samuel is a knave.", "Olivia cannot be a knave, because this would contradict the claim of William that Olivia is not a knave.", "We have exhausted all possibilities for Olivia, so let us go back and reconsider William.", "Assume William is a knave. No contradiction is found in their false claim that Olivia is not a knave.", "Olivia cannot be a knight, because this would contradict the false claim of William that Olivia is not a knave.", "Assume Olivia is a knave. No contradiction is found in their false claim that Samuel is a knight if and only if Samuel is a knave.", "Assume Samuel is a knight. No contradiction is found in their claim that If Olivia is a knight then Samuel is a knight.", "Mason cannot be a knight, because this would contradict the claim of their own that William is a knight and Samuel is a knave.", "Assume Mason is a knave. No contradiction is found in their false claim that William is a knight and Samuel is a knave.", "Matthew cannot be a knight, because this would contradict the claim of their own that Avery is a knight and Avery is a knave.", "Assume Matthew is a knave. No contradiction is found in their false claim that Avery is a knight and Avery is a knave.", "Avery cannot be a knight, because this would contradict the claim of their own that Olivia is a knave and William is a knight.", "Assume Avery is a knave. No contradiction is found in their false claim that Olivia is a knave and William is a knight.", "Assume Isabella is a knight. No contradiction is found in their claim that Mason is a knight or Samuel is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 5)), ('and', ('telling-truth', 0), ('lying', 4)), ('and', ('telling-truth', 3), ('lying', 3)), ('and', ('lying', 5), ('telling-truth', 0)), ('->', ('telling-truth', 5), ('telling-truth', 4)), ('<=>', ('telling-truth', 4), ('lying', 4)), ('or', ('telling-truth', 1), ('telling-truth', 4)))", "index": 314}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Matthew, Evelyn, Charlotte, Isabella, Ella, Sophia, and Jack. Matthew said, \"Ella is a knave.\" Evelyn said, \"Isabella is not a knight.\" Charlotte stated, \"Charlotte is a knight if and only if Sophia is a knight\". Isabella asserted: \"Jack is a knave if and only if Sophia is a knave\". Ella said, \"Jack is a knight or Matthew is a knave.\" Sophia told you that If Isabella is a knave then Charlotte is a knight. Jack stated, \"Charlotte is not a knave\". So who is a knight and who is a knave?", "names": ["Matthew", "Evelyn", "Charlotte", "Isabella", "Ella", "Sophia", "Jack"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true, true, true, true], "solution_text": "Matthew is a knave, Evelyn is a knave, Charlotte is a knight, Isabella is a knight, Ella is a knight, Sophia is a knight, and Jack is a knight.", "solution_text_format": "(1) Matthew is a knave\n(2) Evelyn is a knave\n(3) Charlotte is a knight\n(4) Isabella is a knight\n(5) Ella is a knight\n(6) Sophia is a knight\n(7) Jack is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Matthew is a knight. No contradiction is found in their claim that Ella is a knave.", "Ella cannot be a knight, because this would contradict the claim of Matthew that Ella is a knave.", "Assume Ella is a knave. No contradiction is found in their false claim that Jack is a knight or Matthew is a knave.", "Jack cannot be a knight, because this would contradict the false claim of Ella that Jack is a knight or Matthew is a knave.", "Assume Jack is a knave. No contradiction is found in their false claim that Charlotte is not a knave.", "Charlotte cannot be a knight, because this would contradict the false claim of Jack that Charlotte is not a knave.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Charlotte is a knight if and only if Sophia is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that If Isabella is a knave then Charlotte is a knight.", "Isabella cannot be a knight, because this would contradict the claim of their own that Jack is a knave if and only if Sophia is a knave.", "Isabella cannot be a knave, because this would contradict the claim of Sophia that If Isabella is a knave then Charlotte is a knight.", "We have exhausted all possibilities for Isabella, so let us go back and reconsider Sophia.", "Sophia cannot be a knave, because this would contradict the false claim of Charlotte that Charlotte is a knight if and only if Sophia is a knight.", "We have exhausted all possibilities for Sophia, Charlotte, Jack, and Ella, so let us go back and reconsider Matthew.", "Assume Matthew is a knave. No contradiction is found in their false claim that Ella is a knave.", "Assume Ella is a knight. No contradiction is found in their claim that Jack is a knight or Matthew is a knave.", "Assume Jack is a knight. No contradiction is found in their claim that Charlotte is not a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that Charlotte is a knight if and only if Sophia is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that If Isabella is a knave then Charlotte is a knight.", "Assume Isabella is a knight. No contradiction is found in their claim that Jack is a knave if and only if Sophia is a knave.", "Evelyn cannot be a knight, because this would contradict the claim of their own that Isabella is not a knight.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Isabella is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 4), ('not', ('telling-truth', 3)), ('<=>', ('telling-truth', 2), ('telling-truth', 5)), ('<=>', ('lying', 6), ('lying', 5)), ('or', ('telling-truth', 6), ('lying', 0)), ('->', ('lying', 3), ('telling-truth', 2)), ('not', ('lying', 2)))", "index": 315}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Liam, Grace, Lily, Jackson, Chloe, Victoria, and Abigail. Liam said that Grace is a knave or Grace is a knight. Grace expressed that Lily is a knight and Victoria is a knave. Lily commented, \"Liam is a knight or Jackson is a knave\". \"Grace is a knave and Jackson is a knight,\" Jackson mentioned. Chloe remarked, \"Liam is a knight\". Victoria noted, \"Chloe is a knight if and only if Liam is a knave\". Abigail commented, \"Lily is a knight\". So who is a knight and who is a knave?", "names": ["Liam", "Grace", "Lily", "Jackson", "Chloe", "Victoria", "Abigail"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false, true, false, true], "solution_text": "Liam is a knight, Grace is a knight, Lily is a knight, Jackson is a knave, Chloe is a knight, Victoria is a knave, and Abigail is a knight.", "solution_text_format": "(1) Liam is a knight\n(2) Grace is a knight\n(3) Lily is a knight\n(4) Jackson is a knave\n(5) Chloe is a knight\n(6) Victoria is a knave\n(7) Abigail is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Liam is a knight. No contradiction is found in their claim that Grace is a knave or Grace is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that Lily is a knight and Victoria is a knave.", "Assume Lily is a knight. No contradiction is found in their claim that Liam is a knight or Jackson is a knave.", "Jackson cannot be a knight, because this would contradict the claim of their own that Grace is a knave and Jackson is a knight.", "Assume Jackson is a knave. No contradiction is found in their false claim that Grace is a knave and Jackson is a knight.", "Victoria cannot be a knight, because this would contradict the claim of Grace that Lily is a knight and Victoria is a knave.", "Assume Victoria is a knave. No contradiction is found in their false claim that Chloe is a knight if and only if Liam is a knave.", "Assume Chloe is a knight. No contradiction is found in their claim that Liam is a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that Lily is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('telling-truth', 1)), ('and', ('telling-truth', 2), ('lying', 5)), ('or', ('telling-truth', 0), ('lying', 3)), ('and', ('lying', 1), ('telling-truth', 3)), ('telling-truth', 0), ('<=>', ('telling-truth', 4), ('lying', 0)), ('telling-truth', 2))", "index": 316}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Elizabeth, Zoey, Ava, Joseph, Lily, Mia, and Ethan. Elizabeth said that Joseph is not a knave. Zoey noted, \"Ethan is a knight\". Ava commented, \"Ethan is a knave if and only if Zoey is a knave\". In a statement by Joseph: \"Ava is a knave and Ethan is a knave\". Lily noted, \"Joseph is a knave or Mia is a knave\". \"Joseph is a knight and Ethan is a knight\" - Mia. Ethan told you that Joseph is a knight. So who is a knight and who is a knave?", "names": ["Elizabeth", "Zoey", "Ava", "Joseph", "Lily", "Mia", "Ethan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false, true, false, false], "solution_text": "Elizabeth is a knave, Zoey is a knave, Ava is a knight, Joseph is a knave, Lily is a knight, Mia is a knave, and Ethan is a knave.", "solution_text_format": "(1) Elizabeth is a knave\n(2) Zoey is a knave\n(3) Ava is a knight\n(4) Joseph is a knave\n(5) Lily is a knight\n(6) Mia is a knave\n(7) Ethan is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Elizabeth is a knight. No contradiction is found in their claim that Joseph is not a knave.", "Assume Joseph is a knight. No contradiction is found in their claim that Ava is a knave and Ethan is a knave.", "Ava cannot be a knight, because this would contradict the claim of Joseph that Ava is a knave and Ethan is a knave.", "Assume Ava is a knave. No contradiction is found in their false claim that Ethan is a knave if and only if Zoey is a knave.", "Ethan cannot be a knight, because this would contradict the claim of Joseph that Ava is a knave and Ethan is a knave.", "Ethan cannot be a knave, because this would contradict the false claim of their own that Joseph is a knight.", "We have exhausted all possibilities for Ethan and Ava, so let us go back and reconsider Joseph.", "Joseph cannot be a knave, because this would contradict the claim of Elizabeth that Joseph is not a knave.", "We have exhausted all possibilities for Joseph, so let us go back and reconsider Elizabeth.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Joseph is not a knave.", "Joseph cannot be a knight, because this would contradict the false claim of Elizabeth that Joseph is not a knave.", "Assume Joseph is a knave. No contradiction is found in their false claim that Ava is a knave and Ethan is a knave.", "Assume Ava is a knight. No contradiction is found in their claim that Ethan is a knave if and only if Zoey is a knave.", "Ethan cannot be a knight, because this would contradict the claim of their own that Joseph is a knight.", "Assume Ethan is a knave. No contradiction is found in their false claim that Joseph is a knight.", "Zoey cannot be a knight, because this would contradict the claim of their own that Ethan is a knight.", "Assume Zoey is a knave. No contradiction is found in their false claim that Ethan is a knight.", "Assume Lily is a knight. No contradiction is found in their claim that Joseph is a knave or Mia is a knave.", "Mia cannot be a knight, because this would contradict the claim of their own that Joseph is a knight and Ethan is a knight.", "Assume Mia is a knave. No contradiction is found in their false claim that Joseph is a knight and Ethan is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 3)), ('telling-truth', 6), ('<=>', ('lying', 6), ('lying', 1)), ('and', ('lying', 2), ('lying', 6)), ('or', ('lying', 3), ('lying', 5)), ('and', ('telling-truth', 3), ('telling-truth', 6)), ('telling-truth', 3))", "index": 317}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Jacob, Owen, Abigail, Ava, Victoria, Ethan, and Charlotte. Jacob said, \"Ava is a knave.\" Owen said, \"Charlotte is a knave and Jacob is a knight.\" In Abigail's words: \"If Jacob is a knave then Owen is a knight\". Ava stated, \"If Abigail is a knave then Charlotte is a knave\". In a statement by Victoria: \"Ava is a knight if and only if Charlotte is a knight\". Ethan asserted: \"Ava is a knight if and only if Victoria is a knave\". \"Abigail is not a knave,\" Charlotte declared. So who is a knight and who is a knave?", "names": ["Jacob", "Owen", "Abigail", "Ava", "Victoria", "Ethan", "Charlotte"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true, false, true, false], "solution_text": "Jacob is a knave, Owen is a knave, Abigail is a knave, Ava is a knight, Victoria is a knave, Ethan is a knight, and Charlotte is a knave.", "solution_text_format": "(1) Jacob is a knave\n(2) Owen is a knave\n(3) Abigail is a knave\n(4) Ava is a knight\n(5) Victoria is a knave\n(6) Ethan is a knight\n(7) Charlotte is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jacob is a knight. No contradiction is found in their claim that Ava is a knave.", "Ava cannot be a knight, because this would contradict the claim of Jacob that Ava is a knave.", "Assume Ava is a knave. No contradiction is found in their false claim that If Abigail is a knave then Charlotte is a knave.", "Abigail cannot be a knight, because this would contradict the false claim of Ava that If Abigail is a knave then Charlotte is a knave.", "Abigail cannot be a knave, because this would contradict the false claim of their own that If Jacob is a knave then Owen is a knight.", "We have exhausted all possibilities for Abigail and Ava, so let us go back and reconsider Jacob.", "Assume Jacob is a knave. No contradiction is found in their false claim that Ava is a knave.", "Assume Ava is a knight. No contradiction is found in their claim that If Abigail is a knave then Charlotte is a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that If Jacob is a knave then Owen is a knight.", "Owen cannot be a knight, because this would contradict the claim of their own that Charlotte is a knave and Jacob is a knight.", "Owen cannot be a knave, because this would contradict the claim of Abigail that If Jacob is a knave then Owen is a knight.", "We have exhausted all possibilities for Owen, so let us go back and reconsider Abigail.", "Assume Abigail is a knave. No contradiction is found in their false claim that If Jacob is a knave then Owen is a knight.", "Owen cannot be a knight, because this would contradict the claim of their own that Charlotte is a knave and Jacob is a knight.", "Assume Owen is a knave. No contradiction is found in their false claim that Charlotte is a knave and Jacob is a knight.", "Charlotte cannot be a knight, because this would contradict the claim of Ava that If Abigail is a knave then Charlotte is a knave.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Abigail is not a knave.", "Victoria cannot be a knight, because this would contradict the claim of their own that Ava is a knight if and only if Charlotte is a knight.", "Assume Victoria is a knave. No contradiction is found in their false claim that Ava is a knight if and only if Charlotte is a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that Ava is a knight if and only if Victoria is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 3), ('and', ('lying', 6), ('telling-truth', 0)), ('->', ('lying', 0), ('telling-truth', 1)), ('->', ('lying', 2), ('lying', 6)), ('<=>', ('telling-truth', 3), ('telling-truth', 6)), ('<=>', ('telling-truth', 3), ('lying', 4)), ('not', ('lying', 2)))", "index": 318}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Jacob, Emma, Benjamin, Aiden, Logan, Lucas, and Ethan. Jacob said, \"Ethan is a knight or Benjamin is a knight.\" Emma expressed that Aiden is a knight and Lucas is a knight. Benjamin stated, \"Emma is a knave\". Aiden expressed that If Lucas is a knave then Ethan is a knave. \"If Emma is a knave then Benjamin is a knave,\" Logan declared. \"Logan is a knight and Lucas is a knight\" - Lucas. Ethan said, \"Jacob is a knave.\" So who is a knight and who is a knave?", "names": ["Jacob", "Emma", "Benjamin", "Aiden", "Logan", "Lucas", "Ethan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, false, false, false], "solution_text": "Jacob is a knight, Emma is a knave, Benjamin is a knight, Aiden is a knight, Logan is a knave, Lucas is a knave, and Ethan is a knave.", "solution_text_format": "(1) Jacob is a knight\n(2) Emma is a knave\n(3) Benjamin is a knight\n(4) Aiden is a knight\n(5) Logan is a knave\n(6) Lucas is a knave\n(7) Ethan is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jacob is a knight. No contradiction is found in their claim that Ethan is a knight or Benjamin is a knight.", "Ethan cannot be a knight, because this would contradict the claim of their own that Jacob is a knave.", "Assume Ethan is a knave. No contradiction is found in their false claim that Jacob is a knave.", "Assume Benjamin is a knight. No contradiction is found in their claim that Emma is a knave.", "Emma cannot be a knight, because this would contradict the claim of Benjamin that Emma is a knave.", "Assume Emma is a knave. No contradiction is found in their false claim that Aiden is a knight and Lucas is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that If Lucas is a knave then Ethan is a knave.", "Lucas cannot be a knight, because this would contradict the false claim of Emma that Aiden is a knight and Lucas is a knight.", "Assume Lucas is a knave. No contradiction is found in their false claim that Logan is a knight and Lucas is a knight.", "Logan cannot be a knight, because this would contradict the claim of their own that If Emma is a knave then Benjamin is a knave.", "Assume Logan is a knave. No contradiction is found in their false claim that If Emma is a knave then Benjamin is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 6), ('telling-truth', 2)), ('and', ('telling-truth', 3), ('telling-truth', 5)), ('lying', 1), ('->', ('lying', 5), ('lying', 6)), ('->', ('lying', 1), ('lying', 2)), ('and', ('telling-truth', 4), ('telling-truth', 5)), ('lying', 0))", "index": 319}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Benjamin, Lily, Logan, Sebastian, William, Isabella, and Luke. \"William is a knave or Luke is a knave\" - Benjamin. In a statement by Lily: \"William is not a knave\". Logan stated, \"Benjamin is a knave and Luke is a knave\". In Sebastian's words: \"Benjamin is a knight and William is a knight\". William was heard saying, \"William is a knight if and only if Lily is a knave\". \"Lily is a knave or Sebastian is a knight,\" Isabella claimed. Luke expressed that If Isabella is a knight then Logan is a knight. So who is a knight and who is a knave?", "names": ["Benjamin", "Lily", "Logan", "Sebastian", "William", "Isabella", "Luke"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false, false, true, false], "solution_text": "Benjamin is a knight, Lily is a knave, Logan is a knave, Sebastian is a knave, William is a knave, Isabella is a knight, and Luke is a knave.", "solution_text_format": "(1) Benjamin is a knight\n(2) Lily is a knave\n(3) Logan is a knave\n(4) Sebastian is a knave\n(5) William is a knave\n(6) Isabella is a knight\n(7) Luke is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Benjamin is a knight. No contradiction is found in their claim that William is a knave or Luke is a knave.", "Assume William is a knight. No contradiction is found in their claim that William is a knight if and only if Lily is a knave.", "Lily cannot be a knight, because this would contradict the claim of William that William is a knight if and only if Lily is a knave.", "Lily cannot be a knave, because this would contradict the false claim of their own that William is not a knave.", "We have exhausted all possibilities for Lily, so let us go back and reconsider William.", "Assume William is a knave. No contradiction is found in their false claim that William is a knight if and only if Lily is a knave.", "Lily cannot be a knight, because this would contradict the claim of their own that William is not a knave.", "Assume Lily is a knave. No contradiction is found in their false claim that William is not a knave.", "Assume Luke is a knight. No contradiction is found in their claim that If Isabella is a knight then Logan is a knight.", "Assume Isabella is a knight. No contradiction is found in their claim that Lily is a knave or Sebastian is a knight.", "Sebastian cannot be a knight, because this would contradict the claim of their own that Benjamin is a knight and William is a knight.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Benjamin is a knight and William is a knight.", "Logan cannot be a knight, because this would contradict the claim of their own that Benjamin is a knave and Luke is a knave.", "Logan cannot be a knave, because this would contradict the claim of Luke that If Isabella is a knight then Logan is a knight.", "We have exhausted all possibilities for Logan and Sebastian, so let us go back and reconsider Isabella.", "Isabella cannot be a knave, because this would contradict the false claim of their own that Lily is a knave or Sebastian is a knight.", "We have exhausted all possibilities for Isabella, so let us go back and reconsider Luke.", "Assume Luke is a knave. No contradiction is found in their false claim that If Isabella is a knight then Logan is a knight.", "Assume Isabella is a knight. No contradiction is found in their claim that Lily is a knave or Sebastian is a knight.", "Sebastian cannot be a knight, because this would contradict the claim of their own that Benjamin is a knight and William is a knight.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Benjamin is a knight and William is a knight.", "Logan cannot be a knight, because this would contradict the claim of their own that Benjamin is a knave and Luke is a knave.", "Assume Logan is a knave. No contradiction is found in their false claim that Benjamin is a knave and Luke is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 4), ('lying', 6)), ('not', ('lying', 4)), ('and', ('lying', 0), ('lying', 6)), ('and', ('telling-truth', 0), ('telling-truth', 4)), ('<=>', ('telling-truth', 4), ('lying', 1)), ('or', ('lying', 1), ('telling-truth', 3)), ('->', ('telling-truth', 5), ('telling-truth', 2)))", "index": 320}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Lily, Harper, Penelope, Daniel, Liam, Jack, and Jackson. \"Harper is a knight and Daniel is a knight,\" Lily declared. \"Lily is a knight if and only if Harper is a knight,\" Harper declared. In a statement by Penelope: \"Daniel is a knight if and only if Lily is a knight\". Daniel asserted: \"Jackson is not a knave\". Liam asserted: \"Jack is a knave if and only if Penelope is a knave\". Jack told you that Penelope is a knight. Jackson told you that Jackson is a knight or Jack is a knight. So who is a knight and who is a knave?", "names": ["Lily", "Harper", "Penelope", "Daniel", "Liam", "Jack", "Jackson"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, true, true, true], "solution_text": "Lily is a knight, Harper is a knight, Penelope is a knight, Daniel is a knight, Liam is a knight, Jack is a knight, and Jackson is a knight.", "solution_text_format": "(1) Lily is a knight\n(2) Harper is a knight\n(3) Penelope is a knight\n(4) Daniel is a knight\n(5) Liam is a knight\n(6) Jack is a knight\n(7) Jackson is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Lily is a knight. No contradiction is found in their claim that Harper is a knight and Daniel is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that Lily is a knight if and only if Harper is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that Jackson is not a knave.", "Assume Jackson is a knight. No contradiction is found in their claim that Jackson is a knight or Jack is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that Penelope is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that Daniel is a knight if and only if Lily is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that Jack is a knave if and only if Penelope is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('telling-truth', 3)), ('<=>', ('telling-truth', 0), ('telling-truth', 1)), ('<=>', ('telling-truth', 3), ('telling-truth', 0)), ('not', ('lying', 6)), ('<=>', ('lying', 5), ('lying', 2)), ('telling-truth', 2), ('or', ('telling-truth', 6), ('telling-truth', 5)))", "index": 321}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Mia, Jack, Jacob, Oliver, Evelyn, Scarlett, and Chloe. Mia commented, \"Oliver is a knave\". \"Jack is a knight or Evelyn is a knight,\" Jack claimed. Jacob told you that Evelyn is a knight and Jack is a knave. Oliver expressed that Scarlett is a knight and Evelyn is a knight. Evelyn was heard saying, \"Jacob is a knave\". Scarlett stated, \"Jack is a knave\". According to Chloe, \"If Jack is a knave then Scarlett is a knight\". So who is a knight and who is a knave?", "names": ["Mia", "Jack", "Jacob", "Oliver", "Evelyn", "Scarlett", "Chloe"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false, true, false, true], "solution_text": "Mia is a knight, Jack is a knight, Jacob is a knave, Oliver is a knave, Evelyn is a knight, Scarlett is a knave, and Chloe is a knight.", "solution_text_format": "(1) Mia is a knight\n(2) Jack is a knight\n(3) Jacob is a knave\n(4) Oliver is a knave\n(5) Evelyn is a knight\n(6) Scarlett is a knave\n(7) Chloe is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Mia is a knight. No contradiction is found in their claim that Oliver is a knave.", "Oliver cannot be a knight, because this would contradict the claim of Mia that Oliver is a knave.", "Assume Oliver is a knave. No contradiction is found in their false claim that Scarlett is a knight and Evelyn is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that Jack is a knave.", "Jack cannot be a knight, because this would contradict the claim of Scarlett that Jack is a knave.", "Assume Jack is a knave. No contradiction is found in their false claim that Jack is a knight or Evelyn is a knight.", "Evelyn cannot be a knight, because this would contradict the false claim of Jack that Jack is a knight or Evelyn is a knight.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Jacob is a knave.", "Jacob cannot be a knight, because this would contradict the claim of their own that Evelyn is a knight and Jack is a knave.", "Jacob cannot be a knave, because this would contradict the false claim of Evelyn that Jacob is a knave.", "We have exhausted all possibilities for Jacob, Evelyn, and Jack, so let us go back and reconsider Scarlett.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Jack is a knave.", "Assume Jack is a knight. No contradiction is found in their claim that Jack is a knight or Evelyn is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that Jacob is a knave.", "Jacob cannot be a knight, because this would contradict the claim of their own that Evelyn is a knight and Jack is a knave.", "Assume Jacob is a knave. No contradiction is found in their false claim that Evelyn is a knight and Jack is a knave.", "Assume Chloe is a knight. No contradiction is found in their claim that If Jack is a knave then Scarlett is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 3), ('or', ('telling-truth', 1), ('telling-truth', 4)), ('and', ('telling-truth', 4), ('lying', 1)), ('and', ('telling-truth', 5), ('telling-truth', 4)), ('lying', 2), ('lying', 1), ('->', ('lying', 1), ('telling-truth', 5)))", "index": 322}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Mason, Evelyn, Matthew, Henry, Lily, Owen, and Aiden. As Mason put it, \"Lily is a knave or Owen is a knave\". Evelyn stated, \"Matthew is a knave and Mason is a knave\". In Matthew's words: \"If Henry is a knight then Owen is a knight\". Henry commented, \"Owen is a knight\". Lily said, \"If Aiden is a knight then Owen is a knave.\" Owen commented, \"Matthew is not a knave\". Aiden remarked, \"If Henry is a knave then Owen is a knave\". So who is a knight and who is a knave?", "names": ["Mason", "Evelyn", "Matthew", "Henry", "Lily", "Owen", "Aiden"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, false, true, true], "solution_text": "Mason is a knight, Evelyn is a knave, Matthew is a knight, Henry is a knight, Lily is a knave, Owen is a knight, and Aiden is a knight.", "solution_text_format": "(1) Mason is a knight\n(2) Evelyn is a knave\n(3) Matthew is a knight\n(4) Henry is a knight\n(5) Lily is a knave\n(6) Owen is a knight\n(7) Aiden is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Mason is a knight. No contradiction is found in their claim that Lily is a knave or Owen is a knave.", "Assume Lily is a knight. No contradiction is found in their claim that If Aiden is a knight then Owen is a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that If Henry is a knave then Owen is a knave.", "Assume Henry is a knight. No contradiction is found in their claim that Owen is a knight.", "Owen cannot be a knight, because this would contradict the claim of Mason that Lily is a knave or Owen is a knave.", "Owen cannot be a knave, because this would contradict the claim of Henry that Owen is a knight.", "We have exhausted all possibilities for Owen, so let us go back and reconsider Henry.", "Assume Henry is a knave. No contradiction is found in their false claim that Owen is a knight.", "Owen cannot be a knight, because this would contradict the claim of Mason that Lily is a knave or Owen is a knave.", "Assume Owen is a knave. No contradiction is found in their false claim that Matthew is not a knave.", "Matthew cannot be a knight, because this would contradict the false claim of Owen that Matthew is not a knave.", "Matthew cannot be a knave, because this would contradict the false claim of their own that If Henry is a knight then Owen is a knight.", "We have exhausted all possibilities for Matthew, Owen, and Henry, so let us go back and reconsider Aiden.", "Assume Aiden is a knave. No contradiction is found in their false claim that If Henry is a knave then Owen is a knave.", "Henry cannot be a knight, because this would contradict the false claim of Aiden that If Henry is a knave then Owen is a knave.", "Assume Henry is a knave. No contradiction is found in their false claim that Owen is a knight.", "Owen cannot be a knight, because this would contradict the claim of Mason that Lily is a knave or Owen is a knave.", "Owen cannot be a knave, because this would contradict the false claim of Aiden that If Henry is a knave then Owen is a knave.", "We have exhausted all possibilities for Owen, Henry, and Aiden, so let us go back and reconsider Lily.", "Assume Lily is a knave. No contradiction is found in their false claim that If Aiden is a knight then Owen is a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that If Henry is a knave then Owen is a knave.", "Assume Henry is a knight. No contradiction is found in their claim that Owen is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that Matthew is not a knave.", "Assume Matthew is a knight. No contradiction is found in their claim that If Henry is a knight then Owen is a knight.", "Evelyn cannot be a knight, because this would contradict the claim of their own that Matthew is a knave and Mason is a knave.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Matthew is a knave and Mason is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 4), ('lying', 5)), ('and', ('lying', 2), ('lying', 0)), ('->', ('telling-truth', 3), ('telling-truth', 5)), ('telling-truth', 5), ('->', ('telling-truth', 6), ('lying', 5)), ('not', ('lying', 2)), ('->', ('lying', 3), ('lying', 5)))", "index": 323}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Alexander, Abigail, Jacob, Charlotte, Aurora, Samuel, and Ava. Alexander stated, \"Ava is a knave or Abigail is a knight\". Abigail told you that Jacob is a knave and Alexander is a knave. In Jacob's words: \"If Aurora is a knave then Ava is a knave\". \"Abigail is a knave or Aurora is a knave,\" Charlotte mentioned. Aurora said, \"Alexander is a knave or Charlotte is a knave.\" Samuel remarked, \"Abigail is a knight\". In a statement by Ava: \"If Aurora is a knight then Alexander is a knave\". So who is a knight and who is a knave?", "names": ["Alexander", "Abigail", "Jacob", "Charlotte", "Aurora", "Samuel", "Ava"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true, true, false, true], "solution_text": "Alexander is a knave, Abigail is a knave, Jacob is a knight, Charlotte is a knight, Aurora is a knight, Samuel is a knave, and Ava is a knight.", "solution_text_format": "(1) Alexander is a knave\n(2) Abigail is a knave\n(3) Jacob is a knight\n(4) Charlotte is a knight\n(5) Aurora is a knight\n(6) Samuel is a knave\n(7) Ava is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Alexander is a knight. No contradiction is found in their claim that Ava is a knave or Abigail is a knight.", "Assume Ava is a knight. No contradiction is found in their claim that If Aurora is a knight then Alexander is a knave.", "Aurora cannot be a knight, because this would contradict the claim of Ava that If Aurora is a knight then Alexander is a knave.", "Assume Aurora is a knave. No contradiction is found in their false claim that Alexander is a knave or Charlotte is a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that Abigail is a knave or Aurora is a knave.", "Abigail cannot be a knight, because this would contradict the claim of their own that Jacob is a knave and Alexander is a knave.", "Abigail cannot be a knave, because this would contradict the claim of Alexander that Ava is a knave or Abigail is a knight.", "We have exhausted all possibilities for Abigail, so let us go back and reconsider Charlotte.", "Charlotte cannot be a knave, because this would contradict the false claim of their own that Abigail is a knave or Aurora is a knave.", "We have exhausted all possibilities for Charlotte and Aurora, so let us go back and reconsider Ava.", "Assume Ava is a knave. No contradiction is found in their false claim that If Aurora is a knight then Alexander is a knave.", "Assume Aurora is a knight. No contradiction is found in their claim that Alexander is a knave or Charlotte is a knave.", "Charlotte cannot be a knight, because this would contradict the claim of Aurora that Alexander is a knave or Charlotte is a knave.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Abigail is a knave or Aurora is a knave.", "Abigail cannot be a knight, because this would contradict the claim of their own that Jacob is a knave and Alexander is a knave.", "Abigail cannot be a knave, because this would contradict the false claim of Charlotte that Abigail is a knave or Aurora is a knave.", "We have exhausted all possibilities for Abigail and Charlotte, so let us go back and reconsider Aurora.", "Aurora cannot be a knave, because this would contradict the false claim of Ava that If Aurora is a knight then Alexander is a knave.", "We have exhausted all possibilities for Aurora and Ava, so let us go back and reconsider Alexander.", "Assume Alexander is a knave. No contradiction is found in their false claim that Ava is a knave or Abigail is a knight.", "Assume Ava is a knight. No contradiction is found in their claim that If Aurora is a knight then Alexander is a knave.", "Assume Aurora is a knight. No contradiction is found in their claim that Alexander is a knave or Charlotte is a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that Abigail is a knave or Aurora is a knave.", "Abigail cannot be a knight, because this would contradict the false claim of Alexander that Ava is a knave or Abigail is a knight.", "Assume Abigail is a knave. No contradiction is found in their false claim that Jacob is a knave and Alexander is a knave.", "Assume Jacob is a knight. No contradiction is found in their claim that If Aurora is a knave then Ava is a knave.", "Samuel cannot be a knight, because this would contradict the claim of their own that Abigail is a knight.", "Assume Samuel is a knave. No contradiction is found in their false claim that Abigail is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 6), ('telling-truth', 1)), ('and', ('lying', 2), ('lying', 0)), ('->', ('lying', 4), ('lying', 6)), ('or', ('lying', 1), ('lying', 4)), ('or', ('lying', 0), ('lying', 3)), ('telling-truth', 1), ('->', ('telling-truth', 4), ('lying', 0)))", "index": 324}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Amelia, Noah, Benjamin, Penelope, David, Ava, and Sebastian. Amelia remarked, \"If Penelope is a knave then David is a knave\". Noah asserted: \"Sebastian is a knave and Benjamin is a knave\". Benjamin was heard saying, \"Ava is a knight if and only if Sebastian is a knight\". Penelope asserted: \"Amelia is a knave if and only if David is a knight\". David expressed that Benjamin is a knight. Ava expressed that If David is a knave then Ava is a knight. In a statement by Sebastian: \"Penelope is not a knave\". So who is a knight and who is a knave?", "names": ["Amelia", "Noah", "Benjamin", "Penelope", "David", "Ava", "Sebastian"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, false, false, true], "solution_text": "Amelia is a knight, Noah is a knave, Benjamin is a knave, Penelope is a knight, David is a knave, Ava is a knave, and Sebastian is a knight.", "solution_text_format": "(1) Amelia is a knight\n(2) Noah is a knave\n(3) Benjamin is a knave\n(4) Penelope is a knight\n(5) David is a knave\n(6) Ava is a knave\n(7) Sebastian is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Amelia is a knight. No contradiction is found in their claim that If Penelope is a knave then David is a knave.", "Assume Penelope is a knight. No contradiction is found in their claim that Amelia is a knave if and only if David is a knight.", "David cannot be a knight, because this would contradict the claim of Penelope that Amelia is a knave if and only if David is a knight.", "Assume David is a knave. No contradiction is found in their false claim that Benjamin is a knight.", "Benjamin cannot be a knight, because this would contradict the false claim of David that Benjamin is a knight.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Ava is a knight if and only if Sebastian is a knight.", "Assume Ava is a knight. No contradiction is found in their claim that If David is a knave then Ava is a knight.", "Sebastian cannot be a knight, because this would contradict the false claim of Benjamin that Ava is a knight if and only if Sebastian is a knight.", "Sebastian cannot be a knave, because this would contradict the false claim of their own that Penelope is not a knave.", "We have exhausted all possibilities for Sebastian, so let us go back and reconsider Ava.", "Assume Ava is a knave. No contradiction is found in their false claim that If David is a knave then Ava is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Penelope is not a knave.", "Noah cannot be a knight, because this would contradict the claim of their own that Sebastian is a knave and Benjamin is a knave.", "Assume Noah is a knave. No contradiction is found in their false claim that Sebastian is a knave and Benjamin is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 3), ('lying', 4)), ('and', ('lying', 6), ('lying', 2)), ('<=>', ('telling-truth', 5), ('telling-truth', 6)), ('<=>', ('lying', 0), ('telling-truth', 4)), ('telling-truth', 2), ('->', ('lying', 4), ('telling-truth', 5)), ('not', ('lying', 3)))", "index": 325}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Noah, Penelope, Henry, Owen, William, Ella, and Emily. Noah asserted: \"Ella is a knave and William is a knave\". Penelope noted, \"Emily is a knave and Ella is a knight\". Henry noted, \"If Henry is a knight then Emily is a knave\". Owen expressed that Noah is a knight or Penelope is a knave. In a statement by William: \"Emily is a knave and William is a knight\". \"Noah is a knave,\" Ella mentioned. Emily remarked, \"Noah is a knave or Owen is a knave\". So who is a knight and who is a knave?", "names": ["Noah", "Penelope", "Henry", "Owen", "William", "Ella", "Emily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, false, false, false], "solution_text": "Noah is a knight, Penelope is a knave, Henry is a knight, Owen is a knight, William is a knave, Ella is a knave, and Emily is a knave.", "solution_text_format": "(1) Noah is a knight\n(2) Penelope is a knave\n(3) Henry is a knight\n(4) Owen is a knight\n(5) William is a knave\n(6) Ella is a knave\n(7) Emily is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Noah is a knight. No contradiction is found in their claim that Ella is a knave and William is a knave.", "Ella cannot be a knight, because this would contradict the claim of Noah that Ella is a knave and William is a knave.", "Assume Ella is a knave. No contradiction is found in their false claim that Noah is a knave.", "William cannot be a knight, because this would contradict the claim of Noah that Ella is a knave and William is a knave.", "Assume William is a knave. No contradiction is found in their false claim that Emily is a knave and William is a knight.", "Assume Emily is a knight. No contradiction is found in their claim that Noah is a knave or Owen is a knave.", "Owen cannot be a knight, because this would contradict the claim of Emily that Noah is a knave or Owen is a knave.", "Owen cannot be a knave, because this would contradict the false claim of their own that Noah is a knight or Penelope is a knave.", "We have exhausted all possibilities for Owen, so let us go back and reconsider Emily.", "Assume Emily is a knave. No contradiction is found in their false claim that Noah is a knave or Owen is a knave.", "Assume Owen is a knight. No contradiction is found in their claim that Noah is a knight or Penelope is a knave.", "Penelope cannot be a knight, because this would contradict the claim of their own that Emily is a knave and Ella is a knight.", "Assume Penelope is a knave. No contradiction is found in their false claim that Emily is a knave and Ella is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that If Henry is a knight then Emily is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 5), ('lying', 4)), ('and', ('lying', 6), ('telling-truth', 5)), ('->', ('telling-truth', 2), ('lying', 6)), ('or', ('telling-truth', 0), ('lying', 1)), ('and', ('lying', 6), ('telling-truth', 4)), ('lying', 0), ('or', ('lying', 0), ('lying', 3)))", "index": 326}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Avery, Daniel, Mia, Michael, Jack, William, and Aiden. Avery asserted: \"If Michael is a knave then Jack is a knave\". Daniel was heard saying, \"Jack is a knight and Jack is a knave\". \"Aiden is a knave,\" Mia mentioned. \"Mia is a knight,\" Michael claimed. In a statement by Jack: \"Michael is not a knave\". William said, \"Avery is not a knight.\" Aiden commented, \"William is a knave and Daniel is a knave\". So who is a knight and who is a knave?", "names": ["Avery", "Daniel", "Mia", "Michael", "Jack", "William", "Aiden"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false, false, false, true], "solution_text": "Avery is a knight, Daniel is a knave, Mia is a knave, Michael is a knave, Jack is a knave, William is a knave, and Aiden is a knight.", "solution_text_format": "(1) Avery is a knight\n(2) Daniel is a knave\n(3) Mia is a knave\n(4) Michael is a knave\n(5) Jack is a knave\n(6) William is a knave\n(7) Aiden is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Avery is a knight. No contradiction is found in their claim that If Michael is a knave then Jack is a knave.", "Assume Michael is a knight. No contradiction is found in their claim that Mia is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that Aiden is a knave.", "Aiden cannot be a knight, because this would contradict the claim of Mia that Aiden is a knave.", "Assume Aiden is a knave. No contradiction is found in their false claim that William is a knave and Daniel is a knave.", "William cannot be a knight, because this would contradict the claim of their own that Avery is not a knight.", "Assume William is a knave. No contradiction is found in their false claim that Avery is not a knight.", "Daniel cannot be a knight, because this would contradict the claim of their own that Jack is a knight and Jack is a knave.", "Daniel cannot be a knave, because this would contradict the false claim of Aiden that William is a knave and Daniel is a knave.", "We have exhausted all possibilities for Daniel, William, and Aiden, so let us go back and reconsider Mia.", "Mia cannot be a knave, because this would contradict the claim of Michael that Mia is a knight.", "We have exhausted all possibilities for Mia, so let us go back and reconsider Michael.", "Assume Michael is a knave. No contradiction is found in their false claim that Mia is a knight.", "Mia cannot be a knight, because this would contradict the false claim of Michael that Mia is a knight.", "Assume Mia is a knave. No contradiction is found in their false claim that Aiden is a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that William is a knave and Daniel is a knave.", "William cannot be a knight, because this would contradict the claim of their own that Avery is not a knight.", "Assume William is a knave. No contradiction is found in their false claim that Avery is not a knight.", "Daniel cannot be a knight, because this would contradict the claim of their own that Jack is a knight and Jack is a knave.", "Assume Daniel is a knave. No contradiction is found in their false claim that Jack is a knight and Jack is a knave.", "Jack cannot be a knight, because this would contradict the claim of Avery that If Michael is a knave then Jack is a knave.", "Assume Jack is a knave. No contradiction is found in their false claim that Michael is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 3), ('lying', 4)), ('and', ('telling-truth', 4), ('lying', 4)), ('lying', 6), ('telling-truth', 2), ('not', ('lying', 3)), ('not', ('telling-truth', 0)), ('and', ('lying', 5), ('lying', 1)))", "index": 327}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Charlotte, Henry, Luke, Noah, Ethan, Logan, and Michael. Charlotte expressed that Ethan is not a knave. \"Charlotte is a knave and Noah is a knave,\" Henry claimed. Luke expressed that Ethan is a knave if and only if Logan is a knight. Noah was heard saying, \"Ethan is not a knight\". Ethan was heard saying, \"If Logan is a knight then Charlotte is a knave\". Logan remarked, \"Charlotte is a knave\". Michael said that Noah is a knave and Logan is a knave. So who is a knight and who is a knave?", "names": ["Charlotte", "Henry", "Luke", "Noah", "Ethan", "Logan", "Michael"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false, true, false, true], "solution_text": "Charlotte is a knight, Henry is a knave, Luke is a knight, Noah is a knave, Ethan is a knight, Logan is a knave, and Michael is a knight.", "solution_text_format": "(1) Charlotte is a knight\n(2) Henry is a knave\n(3) Luke is a knight\n(4) Noah is a knave\n(5) Ethan is a knight\n(6) Logan is a knave\n(7) Michael is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Charlotte is a knight. No contradiction is found in their claim that Ethan is not a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that If Logan is a knight then Charlotte is a knave.", "Logan cannot be a knight, because this would contradict the claim of Ethan that If Logan is a knight then Charlotte is a knave.", "Assume Logan is a knave. No contradiction is found in their false claim that Charlotte is a knave.", "Henry cannot be a knight, because this would contradict the claim of their own that Charlotte is a knave and Noah is a knave.", "Assume Henry is a knave. No contradiction is found in their false claim that Charlotte is a knave and Noah is a knave.", "Noah cannot be a knight, because this would contradict the claim of their own that Ethan is not a knight.", "Assume Noah is a knave. No contradiction is found in their false claim that Ethan is not a knight.", "Assume Luke is a knight. No contradiction is found in their claim that Ethan is a knave if and only if Logan is a knight.", "Assume Michael is a knight. No contradiction is found in their claim that Noah is a knave and Logan is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 4)), ('and', ('lying', 0), ('lying', 3)), ('<=>', ('lying', 4), ('telling-truth', 5)), ('not', ('telling-truth', 4)), ('->', ('telling-truth', 5), ('lying', 0)), ('lying', 0), ('and', ('lying', 3), ('lying', 5)))", "index": 328}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Olivia, Charlotte, Aurora, Sebastian, Samuel, Jacob, and Harper. Olivia remarked, \"If Harper is a knight then Samuel is a knave\". According to Charlotte, \"Sebastian is a knave and Harper is a knave\". \"If Samuel is a knave then Charlotte is a knight,\" Aurora declared. \"Charlotte is not a knight,\" Sebastian claimed. Samuel remarked, \"Olivia is a knave and Sebastian is a knave\". Jacob commented, \"If Samuel is a knight then Samuel is a knave\". \"Aurora is a knight or Charlotte is a knave,\" Harper claimed. So who is a knight and who is a knave?", "names": ["Olivia", "Charlotte", "Aurora", "Sebastian", "Samuel", "Jacob", "Harper"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, false, true, true], "solution_text": "Olivia is a knight, Charlotte is a knave, Aurora is a knave, Sebastian is a knight, Samuel is a knave, Jacob is a knight, and Harper is a knight.", "solution_text_format": "(1) Olivia is a knight\n(2) Charlotte is a knave\n(3) Aurora is a knave\n(4) Sebastian is a knight\n(5) Samuel is a knave\n(6) Jacob is a knight\n(7) Harper is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Olivia is a knight. No contradiction is found in their claim that If Harper is a knight then Samuel is a knave.", "Assume Harper is a knight. No contradiction is found in their claim that Aurora is a knight or Charlotte is a knave.", "Assume Aurora is a knight. No contradiction is found in their claim that If Samuel is a knave then Charlotte is a knight.", "Samuel cannot be a knight, because this would contradict the claim of Olivia that If Harper is a knight then Samuel is a knave.", "Assume Samuel is a knave. No contradiction is found in their false claim that Olivia is a knave and Sebastian is a knave.", "Assume Sebastian is a knight. No contradiction is found in their claim that Charlotte is not a knight.", "Charlotte cannot be a knight, because this would contradict the claim of their own that Sebastian is a knave and Harper is a knave.", "Charlotte cannot be a knave, because this would contradict the claim of Aurora that If Samuel is a knave then Charlotte is a knight.", "We have exhausted all possibilities for Charlotte, so let us go back and reconsider Sebastian.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Charlotte is not a knight.", "Charlotte cannot be a knight, because this would contradict the claim of their own that Sebastian is a knave and Harper is a knave.", "Charlotte cannot be a knave, because this would contradict the claim of Aurora that If Samuel is a knave then Charlotte is a knight.", "We have exhausted all possibilities for Charlotte, Sebastian, and Samuel, so let us go back and reconsider Aurora.", "Assume Aurora is a knave. No contradiction is found in their false claim that If Samuel is a knave then Charlotte is a knight.", "Samuel cannot be a knight, because this would contradict the claim of Olivia that If Harper is a knight then Samuel is a knave.", "Assume Samuel is a knave. No contradiction is found in their false claim that Olivia is a knave and Sebastian is a knave.", "Assume Sebastian is a knight. No contradiction is found in their claim that Charlotte is not a knight.", "Charlotte cannot be a knight, because this would contradict the claim of their own that Sebastian is a knave and Harper is a knave.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Sebastian is a knave and Harper is a knave.", "Assume Jacob is a knight. No contradiction is found in their claim that If Samuel is a knight then Samuel is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 6), ('lying', 4)), ('and', ('lying', 3), ('lying', 6)), ('->', ('lying', 4), ('telling-truth', 1)), ('not', ('telling-truth', 1)), ('and', ('lying', 0), ('lying', 3)), ('->', ('telling-truth', 4), ('lying', 4)), ('or', ('telling-truth', 2), ('lying', 1)))", "index": 329}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Avery, Mason, Henry, James, David, Riley, and Grace. \"Mason is not a knight\" - Avery. Mason noted, \"David is a knave and Riley is a knight\". In Henry's words: \"If Avery is a knave then Grace is a knight\". According to James, \"David is a knight and David is a knave\". \"Riley is a knight and Grace is a knave\" - David. Riley expressed that If Henry is a knave then Grace is a knight. Grace told you that Mason is a knight if and only if Avery is a knave. So who is a knight and who is a knave?", "names": ["Avery", "Mason", "Henry", "James", "David", "Riley", "Grace"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false, false, true, true], "solution_text": "Avery is a knave, Mason is a knight, Henry is a knight, James is a knave, David is a knave, Riley is a knight, and Grace is a knight.", "solution_text_format": "(1) Avery is a knave\n(2) Mason is a knight\n(3) Henry is a knight\n(4) James is a knave\n(5) David is a knave\n(6) Riley is a knight\n(7) Grace is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Avery is a knight. No contradiction is found in their claim that Mason is not a knight.", "Mason cannot be a knight, because this would contradict the claim of Avery that Mason is not a knight.", "Assume Mason is a knave. No contradiction is found in their false claim that David is a knave and Riley is a knight.", "Assume David is a knight. No contradiction is found in their claim that Riley is a knight and Grace is a knave.", "Assume Riley is a knight. No contradiction is found in their claim that If Henry is a knave then Grace is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that If Avery is a knave then Grace is a knight.", "Grace cannot be a knight, because this would contradict the claim of David that Riley is a knight and Grace is a knave.", "Grace cannot be a knave, because this would contradict the false claim of their own that Mason is a knight if and only if Avery is a knave.", "We have exhausted all possibilities for Grace, so let us go back and reconsider Henry.", "Henry cannot be a knave, because this would contradict the false claim of their own that If Avery is a knave then Grace is a knight.", "We have exhausted all possibilities for Henry, so let us go back and reconsider Riley.", "Riley cannot be a knave, because this would contradict the claim of David that Riley is a knight and Grace is a knave.", "We have exhausted all possibilities for Riley, so let us go back and reconsider David.", "Assume David is a knave. No contradiction is found in their false claim that Riley is a knight and Grace is a knave.", "Riley cannot be a knight, because this would contradict the false claim of Mason that David is a knave and Riley is a knight.", "Assume Riley is a knave. No contradiction is found in their false claim that If Henry is a knave then Grace is a knight.", "Henry cannot be a knight, because this would contradict the false claim of Riley that If Henry is a knave then Grace is a knight.", "Henry cannot be a knave, because this would contradict the false claim of their own that If Avery is a knave then Grace is a knight.", "We have exhausted all possibilities for Henry, Riley, David, and Mason, so let us go back and reconsider Avery.", "Assume Avery is a knave. No contradiction is found in their false claim that Mason is not a knight.", "Assume Mason is a knight. No contradiction is found in their claim that David is a knave and Riley is a knight.", "David cannot be a knight, because this would contradict the claim of Mason that David is a knave and Riley is a knight.", "Assume David is a knave. No contradiction is found in their false claim that Riley is a knight and Grace is a knave.", "Assume Riley is a knight. No contradiction is found in their claim that If Henry is a knave then Grace is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that If Avery is a knave then Grace is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that Mason is a knight if and only if Avery is a knave.", "James cannot be a knight, because this would contradict the claim of their own that David is a knight and David is a knave.", "Assume James is a knave. No contradiction is found in their false claim that David is a knight and David is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('and', ('lying', 4), ('telling-truth', 5)), ('->', ('lying', 0), ('telling-truth', 6)), ('and', ('telling-truth', 4), ('lying', 4)), ('and', ('telling-truth', 5), ('lying', 6)), ('->', ('lying', 2), ('telling-truth', 6)), ('<=>', ('telling-truth', 1), ('lying', 0)))", "index": 330}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Aiden, Lily, Michael, William, Daniel, David, and Charlotte. \"Charlotte is a knight or Daniel is a knave,\" Aiden claimed. Lily expressed that Lily is a knight if and only if David is a knight. Michael said that Aiden is a knave and Lily is a knight. As William put it, \"Michael is a knight if and only if David is a knave\". According to Daniel, \"David is a knight or Daniel is a knight\". \"Aiden is a knight and Lily is a knave,\" David mentioned. As Charlotte put it, \"William is a knight if and only if Charlotte is a knight\". So who is a knight and who is a knave?", "names": ["Aiden", "Lily", "Michael", "William", "Daniel", "David", "Charlotte"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, true, true, true], "solution_text": "Aiden is a knight, Lily is a knave, Michael is a knave, William is a knight, Daniel is a knight, David is a knight, and Charlotte is a knight.", "solution_text_format": "(1) Aiden is a knight\n(2) Lily is a knave\n(3) Michael is a knave\n(4) William is a knight\n(5) Daniel is a knight\n(6) David is a knight\n(7) Charlotte is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aiden is a knight. No contradiction is found in their claim that Charlotte is a knight or Daniel is a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that William is a knight if and only if Charlotte is a knight.", "Assume William is a knight. No contradiction is found in their claim that Michael is a knight if and only if David is a knave.", "Michael cannot be a knight, because this would contradict the claim of their own that Aiden is a knave and Lily is a knight.", "Assume Michael is a knave. No contradiction is found in their false claim that Aiden is a knave and Lily is a knight.", "Assume Lily is a knight. No contradiction is found in their claim that Lily is a knight if and only if David is a knight.", "David cannot be a knight, because this would contradict the claim of their own that Aiden is a knight and Lily is a knave.", "David cannot be a knave, because this would contradict the claim of Lily that Lily is a knight if and only if David is a knight.", "We have exhausted all possibilities for David, so let us go back and reconsider Lily.", "Assume Lily is a knave. No contradiction is found in their false claim that Lily is a knight if and only if David is a knight.", "Assume David is a knight. No contradiction is found in their claim that Aiden is a knight and Lily is a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that David is a knight or Daniel is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 6), ('lying', 4)), ('<=>', ('telling-truth', 1), ('telling-truth', 5)), ('and', ('lying', 0), ('telling-truth', 1)), ('<=>', ('telling-truth', 2), ('lying', 5)), ('or', ('telling-truth', 5), ('telling-truth', 4)), ('and', ('telling-truth', 0), ('lying', 1)), ('<=>', ('telling-truth', 3), ('telling-truth', 6)))", "index": 331}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Samuel, Harper, Isabella, Chloe, Aiden, Michael, and Elizabeth. In Samuel's words: \"Aiden is a knave or Michael is a knave\". In a statement by Harper: \"Michael is not a knave\". Isabella said that Michael is a knave. As Chloe put it, \"Harper is a knave if and only if Isabella is a knight\". Aiden commented, \"Michael is a knight if and only if Chloe is a knight\". \"If Michael is a knight then Aiden is a knight,\" Michael claimed. Elizabeth stated, \"If Harper is a knight then Harper is a knave\". So who is a knight and who is a knave?", "names": ["Samuel", "Harper", "Isabella", "Chloe", "Aiden", "Michael", "Elizabeth"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true, true, true, false], "solution_text": "Samuel is a knave, Harper is a knight, Isabella is a knave, Chloe is a knight, Aiden is a knight, Michael is a knight, and Elizabeth is a knave.", "solution_text_format": "(1) Samuel is a knave\n(2) Harper is a knight\n(3) Isabella is a knave\n(4) Chloe is a knight\n(5) Aiden is a knight\n(6) Michael is a knight\n(7) Elizabeth is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Samuel is a knight. No contradiction is found in their claim that Aiden is a knave or Michael is a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that Michael is a knight if and only if Chloe is a knight.", "Michael cannot be a knight, because this would contradict the claim of Samuel that Aiden is a knave or Michael is a knave.", "Michael cannot be a knave, because this would contradict the false claim of their own that If Michael is a knight then Aiden is a knight.", "We have exhausted all possibilities for Michael, so let us go back and reconsider Aiden.", "Assume Aiden is a knave. No contradiction is found in their false claim that Michael is a knight if and only if Chloe is a knight.", "Michael cannot be a knight, because this would contradict the claim of their own that If Michael is a knight then Aiden is a knight.", "Michael cannot be a knave, because this would contradict the false claim of their own that If Michael is a knight then Aiden is a knight.", "We have exhausted all possibilities for Michael and Aiden, so let us go back and reconsider Samuel.", "Assume Samuel is a knave. No contradiction is found in their false claim that Aiden is a knave or Michael is a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that Michael is a knight if and only if Chloe is a knight.", "Assume Michael is a knight. No contradiction is found in their claim that If Michael is a knight then Aiden is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that Harper is a knave if and only if Isabella is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that Michael is not a knave.", "Isabella cannot be a knight, because this would contradict the claim of their own that Michael is a knave.", "Assume Isabella is a knave. No contradiction is found in their false claim that Michael is a knave.", "Elizabeth cannot be a knight, because this would contradict the claim of their own that If Harper is a knight then Harper is a knave.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that If Harper is a knight then Harper is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 4), ('lying', 5)), ('not', ('lying', 5)), ('lying', 5), ('<=>', ('lying', 1), ('telling-truth', 2)), ('<=>', ('telling-truth', 5), ('telling-truth', 3)), ('->', ('telling-truth', 5), ('telling-truth', 4)), ('->', ('telling-truth', 1), ('lying', 1)))", "index": 332}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Michael, Ethan, Sofia, Emily, Daniel, Charlotte, and Scarlett. \"Ethan is a knave\" - Michael. Ethan asserted: \"Michael is a knave if and only if Charlotte is a knight\". In Sofia's words: \"Ethan is a knave if and only if Emily is a knight\". Emily asserted: \"Sofia is a knight or Charlotte is a knave\". Daniel noted, \"If Charlotte is a knave then Charlotte is a knight\". Charlotte commented, \"If Scarlett is a knight then Scarlett is a knave\". As Scarlett put it, \"Emily is a knight if and only if Daniel is a knight\". So who is a knight and who is a knave?", "names": ["Michael", "Ethan", "Sofia", "Emily", "Daniel", "Charlotte", "Scarlett"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false, true, true, false], "solution_text": "Michael is a knight, Ethan is a knave, Sofia is a knave, Emily is a knave, Daniel is a knight, Charlotte is a knight, and Scarlett is a knave.", "solution_text_format": "(1) Michael is a knight\n(2) Ethan is a knave\n(3) Sofia is a knave\n(4) Emily is a knave\n(5) Daniel is a knight\n(6) Charlotte is a knight\n(7) Scarlett is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Michael is a knight. No contradiction is found in their claim that Ethan is a knave.", "Ethan cannot be a knight, because this would contradict the claim of Michael that Ethan is a knave.", "Assume Ethan is a knave. No contradiction is found in their false claim that Michael is a knave if and only if Charlotte is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that If Scarlett is a knight then Scarlett is a knave.", "Scarlett cannot be a knight, because this would contradict the claim of Charlotte that If Scarlett is a knight then Scarlett is a knave.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Emily is a knight if and only if Daniel is a knight.", "Assume Emily is a knight. No contradiction is found in their claim that Sofia is a knight or Charlotte is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that Ethan is a knave if and only if Emily is a knight.", "Daniel cannot be a knight, because this would contradict the false claim of Scarlett that Emily is a knight if and only if Daniel is a knight.", "Daniel cannot be a knave, because this would contradict the false claim of their own that If Charlotte is a knave then Charlotte is a knight.", "We have exhausted all possibilities for Daniel, so let us go back and reconsider Sofia.", "Sofia cannot be a knave, because this would contradict the false claim of their own that Ethan is a knave if and only if Emily is a knight.", "We have exhausted all possibilities for Sofia, so let us go back and reconsider Emily.", "Assume Emily is a knave. No contradiction is found in their false claim that Sofia is a knight or Charlotte is a knave.", "Sofia cannot be a knight, because this would contradict the claim of their own that Ethan is a knave if and only if Emily is a knight.", "Assume Sofia is a knave. No contradiction is found in their false claim that Ethan is a knave if and only if Emily is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that If Charlotte is a knave then Charlotte is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('<=>', ('lying', 0), ('telling-truth', 5)), ('<=>', ('lying', 1), ('telling-truth', 3)), ('or', ('telling-truth', 2), ('lying', 5)), ('->', ('lying', 5), ('telling-truth', 5)), ('->', ('telling-truth', 6), ('lying', 6)), ('<=>', ('telling-truth', 3), ('telling-truth', 4)))", "index": 333}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Abigail, David, James, Emily, Lucas, Aiden, and Samuel. As Abigail put it, \"James is a knave and Emily is a knight\". As David put it, \"If James is a knight then Emily is a knave\". \"Samuel is a knight,\" James declared. Emily stated, \"If Samuel is a knave then Abigail is a knight\". Lucas remarked, \"James is a knight or Samuel is a knight\". \"Emily is a knight and Abigail is a knave,\" Aiden claimed. Samuel noted, \"Aiden is a knight if and only if Samuel is a knight\". So who is a knight and who is a knave?", "names": ["Abigail", "David", "James", "Emily", "Lucas", "Aiden", "Samuel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true, true, true, true], "solution_text": "Abigail is a knave, David is a knave, James is a knight, Emily is a knight, Lucas is a knight, Aiden is a knight, and Samuel is a knight.", "solution_text_format": "(1) Abigail is a knave\n(2) David is a knave\n(3) James is a knight\n(4) Emily is a knight\n(5) Lucas is a knight\n(6) Aiden is a knight\n(7) Samuel is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Abigail is a knight. No contradiction is found in their claim that James is a knave and Emily is a knight.", "James cannot be a knight, because this would contradict the claim of Abigail that James is a knave and Emily is a knight.", "Assume James is a knave. No contradiction is found in their false claim that Samuel is a knight.", "Samuel cannot be a knight, because this would contradict the false claim of James that Samuel is a knight.", "Assume Samuel is a knave. No contradiction is found in their false claim that Aiden is a knight if and only if Samuel is a knight.", "Aiden cannot be a knight, because this would contradict the claim of their own that Emily is a knight and Abigail is a knave.", "Aiden cannot be a knave, because this would contradict the false claim of Samuel that Aiden is a knight if and only if Samuel is a knight.", "We have exhausted all possibilities for Aiden, Samuel, and James, so let us go back and reconsider Abigail.", "Assume Abigail is a knave. No contradiction is found in their false claim that James is a knave and Emily is a knight.", "Assume James is a knight. No contradiction is found in their claim that Samuel is a knight.", "Assume Samuel is a knight. No contradiction is found in their claim that Aiden is a knight if and only if Samuel is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that Emily is a knight and Abigail is a knave.", "Assume Emily is a knight. No contradiction is found in their claim that If Samuel is a knave then Abigail is a knight.", "David cannot be a knight, because this would contradict the claim of their own that If James is a knight then Emily is a knave.", "Assume David is a knave. No contradiction is found in their false claim that If James is a knight then Emily is a knave.", "Assume Lucas is a knight. No contradiction is found in their claim that James is a knight or Samuel is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('telling-truth', 3)), ('->', ('telling-truth', 2), ('lying', 3)), ('telling-truth', 6), ('->', ('lying', 6), ('telling-truth', 0)), ('or', ('telling-truth', 2), ('telling-truth', 6)), ('and', ('telling-truth', 3), ('lying', 0)), ('<=>', ('telling-truth', 5), ('telling-truth', 6)))", "index": 334}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Samuel, Sofia, Mia, Abigail, Victoria, Jackson, and James. Samuel said that Abigail is a knave or Jackson is a knight. In Sofia's words: \"Victoria is a knave if and only if Mia is a knight\". Mia commented, \"Abigail is a knight\". In a statement by Abigail: \"Jackson is a knave\". Victoria was heard saying, \"Mia is not a knight\". \"James is not a knave,\" Jackson mentioned. \"Sofia is a knight or Abigail is a knave,\" James declared. So who is a knight and who is a knave?", "names": ["Samuel", "Sofia", "Mia", "Abigail", "Victoria", "Jackson", "James"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false, true, true, true], "solution_text": "Samuel is a knight, Sofia is a knight, Mia is a knave, Abigail is a knave, Victoria is a knight, Jackson is a knight, and James is a knight.", "solution_text_format": "(1) Samuel is a knight\n(2) Sofia is a knight\n(3) Mia is a knave\n(4) Abigail is a knave\n(5) Victoria is a knight\n(6) Jackson is a knight\n(7) James is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Samuel is a knight. No contradiction is found in their claim that Abigail is a knave or Jackson is a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that Jackson is a knave.", "Jackson cannot be a knight, because this would contradict the claim of Abigail that Jackson is a knave.", "Jackson cannot be a knave, because this would contradict the claim of Samuel that Abigail is a knave or Jackson is a knight.", "We have exhausted all possibilities for Jackson, so let us go back and reconsider Abigail.", "Assume Abigail is a knave. No contradiction is found in their false claim that Jackson is a knave.", "Assume Jackson is a knight. No contradiction is found in their claim that James is not a knave.", "Assume James is a knight. No contradiction is found in their claim that Sofia is a knight or Abigail is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that Victoria is a knave if and only if Mia is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that Mia is not a knight.", "Mia cannot be a knight, because this would contradict the claim of Sofia that Victoria is a knave if and only if Mia is a knight.", "Assume Mia is a knave. No contradiction is found in their false claim that Abigail is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 3), ('telling-truth', 5)), ('<=>', ('lying', 4), ('telling-truth', 2)), ('telling-truth', 3), ('lying', 5), ('not', ('telling-truth', 2)), ('not', ('lying', 6)), ('or', ('telling-truth', 1), ('lying', 3)))", "index": 335}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Penelope, Mason, Aiden, Zoey, Noah, Emily, and Harper. Penelope was heard saying, \"Noah is not a knight\". Mason expressed that Penelope is a knave and Harper is a knave. Aiden remarked, \"Penelope is a knight and Noah is a knight\". Zoey said, \"Harper is a knave and Aiden is a knave.\" Noah told you that Noah is a knight and Aiden is a knave. Emily remarked, \"Zoey is not a knave\". In Harper's words: \"Emily is a knight and Mason is a knave\". So who is a knight and who is a knave?", "names": ["Penelope", "Mason", "Aiden", "Zoey", "Noah", "Emily", "Harper"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true, true, true, false], "solution_text": "Penelope is a knave, Mason is a knight, Aiden is a knave, Zoey is a knight, Noah is a knight, Emily is a knight, and Harper is a knave.", "solution_text_format": "(1) Penelope is a knave\n(2) Mason is a knight\n(3) Aiden is a knave\n(4) Zoey is a knight\n(5) Noah is a knight\n(6) Emily is a knight\n(7) Harper is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Penelope is a knight. No contradiction is found in their claim that Noah is not a knight.", "Noah cannot be a knight, because this would contradict the claim of Penelope that Noah is not a knight.", "Assume Noah is a knave. No contradiction is found in their false claim that Noah is a knight and Aiden is a knave.", "Aiden cannot be a knight, because this would contradict the claim of their own that Penelope is a knight and Noah is a knight.", "Assume Aiden is a knave. No contradiction is found in their false claim that Penelope is a knight and Noah is a knight.", "Mason cannot be a knight, because this would contradict the claim of their own that Penelope is a knave and Harper is a knave.", "Assume Mason is a knave. No contradiction is found in their false claim that Penelope is a knave and Harper is a knave.", "Assume Harper is a knight. No contradiction is found in their claim that Emily is a knight and Mason is a knave.", "Assume Emily is a knight. No contradiction is found in their claim that Zoey is not a knave.", "Zoey cannot be a knight, because this would contradict the claim of their own that Harper is a knave and Aiden is a knave.", "Zoey cannot be a knave, because this would contradict the claim of Emily that Zoey is not a knave.", "We have exhausted all possibilities for Zoey, so let us go back and reconsider Emily.", "Emily cannot be a knave, because this would contradict the claim of Harper that Emily is a knight and Mason is a knave.", "We have exhausted all possibilities for Emily, so let us go back and reconsider Harper.", "Assume Harper is a knave. No contradiction is found in their false claim that Emily is a knight and Mason is a knave.", "Emily cannot be a knight, because this would contradict the false claim of Harper that Emily is a knight and Mason is a knave.", "Assume Emily is a knave. No contradiction is found in their false claim that Zoey is not a knave.", "Zoey cannot be a knight, because this would contradict the false claim of Emily that Zoey is not a knave.", "Zoey cannot be a knave, because this would contradict the false claim of their own that Harper is a knave and Aiden is a knave.", "We have exhausted all possibilities for Zoey, Emily, Harper, Mason, Aiden, and Noah, so let us go back and reconsider Penelope.", "Assume Penelope is a knave. No contradiction is found in their false claim that Noah is not a knight.", "Assume Noah is a knight. No contradiction is found in their claim that Noah is a knight and Aiden is a knave.", "Aiden cannot be a knight, because this would contradict the claim of their own that Penelope is a knight and Noah is a knight.", "Assume Aiden is a knave. No contradiction is found in their false claim that Penelope is a knight and Noah is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that Penelope is a knave and Harper is a knave.", "Harper cannot be a knight, because this would contradict the claim of Mason that Penelope is a knave and Harper is a knave.", "Assume Harper is a knave. No contradiction is found in their false claim that Emily is a knight and Mason is a knave.", "Assume Emily is a knight. No contradiction is found in their claim that Zoey is not a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that Harper is a knave and Aiden is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 4)), ('and', ('lying', 0), ('lying', 6)), ('and', ('telling-truth', 0), ('telling-truth', 4)), ('and', ('lying', 6), ('lying', 2)), ('and', ('telling-truth', 4), ('lying', 2)), ('not', ('lying', 3)), ('and', ('telling-truth', 5), ('lying', 1)))", "index": 336}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Aiden, Henry, Abigail, Zoey, Aria, Emma, and Joseph. In a statement by Aiden: \"Henry is a knave if and only if Zoey is a knave\". Henry noted, \"Abigail is a knight and Aiden is a knight\". \"Zoey is not a knight\" - Abigail. Zoey said, \"Aria is not a knave.\" As Aria put it, \"Henry is a knave if and only if Joseph is a knight\". Emma said that Emma is a knight and Henry is a knight. As Joseph put it, \"Zoey is a knight or Henry is a knave\". So who is a knight and who is a knave?", "names": ["Aiden", "Henry", "Abigail", "Zoey", "Aria", "Emma", "Joseph"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true, true, false, true], "solution_text": "Aiden is a knave, Henry is a knave, Abigail is a knave, Zoey is a knight, Aria is a knight, Emma is a knave, and Joseph is a knight.", "solution_text_format": "(1) Aiden is a knave\n(2) Henry is a knave\n(3) Abigail is a knave\n(4) Zoey is a knight\n(5) Aria is a knight\n(6) Emma is a knave\n(7) Joseph is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aiden is a knight. No contradiction is found in their claim that Henry is a knave if and only if Zoey is a knave.", "Assume Henry is a knight. No contradiction is found in their claim that Abigail is a knight and Aiden is a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that Zoey is not a knight.", "Zoey cannot be a knight, because this would contradict the claim of Abigail that Zoey is not a knight.", "Zoey cannot be a knave, because this would contradict the claim of Aiden that Henry is a knave if and only if Zoey is a knave.", "We have exhausted all possibilities for Zoey, so let us go back and reconsider Abigail.", "Abigail cannot be a knave, because this would contradict the claim of Henry that Abigail is a knight and Aiden is a knight.", "We have exhausted all possibilities for Abigail, so let us go back and reconsider Henry.", "Assume Henry is a knave. No contradiction is found in their false claim that Abigail is a knight and Aiden is a knight.", "Abigail cannot be a knight, because this would contradict the false claim of Henry that Abigail is a knight and Aiden is a knight.", "Assume Abigail is a knave. No contradiction is found in their false claim that Zoey is not a knight.", "Zoey cannot be a knight, because this would contradict the claim of Aiden that Henry is a knave if and only if Zoey is a knave.", "Zoey cannot be a knave, because this would contradict the false claim of Abigail that Zoey is not a knight.", "We have exhausted all possibilities for Zoey, Abigail, and Henry, so let us go back and reconsider Aiden.", "Assume Aiden is a knave. No contradiction is found in their false claim that Henry is a knave if and only if Zoey is a knave.", "Henry cannot be a knight, because this would contradict the claim of their own that Abigail is a knight and Aiden is a knight.", "Assume Henry is a knave. No contradiction is found in their false claim that Abigail is a knight and Aiden is a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that Zoey is not a knight.", "Zoey cannot be a knight, because this would contradict the claim of Abigail that Zoey is not a knight.", "Zoey cannot be a knave, because this would contradict the false claim of Aiden that Henry is a knave if and only if Zoey is a knave.", "We have exhausted all possibilities for Zoey, so let us go back and reconsider Abigail.", "Assume Abigail is a knave. No contradiction is found in their false claim that Zoey is not a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that Aria is not a knave.", "Assume Aria is a knight. No contradiction is found in their claim that Henry is a knave if and only if Joseph is a knight.", "Assume Joseph is a knight. No contradiction is found in their claim that Zoey is a knight or Henry is a knave.", "Emma cannot be a knight, because this would contradict the claim of their own that Emma is a knight and Henry is a knight.", "Assume Emma is a knave. No contradiction is found in their false claim that Emma is a knight and Henry is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('lying', 3)), ('and', ('telling-truth', 2), ('telling-truth', 0)), ('not', ('telling-truth', 3)), ('not', ('lying', 4)), ('<=>', ('lying', 1), ('telling-truth', 6)), ('and', ('telling-truth', 5), ('telling-truth', 1)), ('or', ('telling-truth', 3), ('lying', 1)))", "index": 337}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Chloe, William, Zoey, Amelia, Jackson, Jack, and Luke. Chloe stated, \"Jackson is not a knight\". \"Luke is a knight,\" William mentioned. Zoey stated, \"Amelia is a knave or Amelia is a knight\". Amelia said that Jack is a knight. Jackson was heard saying, \"If Luke is a knight then Jack is a knight\". Jack noted, \"William is not a knave\". Luke remarked, \"Jackson is a knave if and only if Zoey is a knight\". So who is a knight and who is a knave?", "names": ["Chloe", "William", "Zoey", "Amelia", "Jackson", "Jack", "Luke"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false, true, false, false], "solution_text": "Chloe is a knave, William is a knave, Zoey is a knight, Amelia is a knave, Jackson is a knight, Jack is a knave, and Luke is a knave.", "solution_text_format": "(1) Chloe is a knave\n(2) William is a knave\n(3) Zoey is a knight\n(4) Amelia is a knave\n(5) Jackson is a knight\n(6) Jack is a knave\n(7) Luke is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Chloe is a knight. No contradiction is found in their claim that Jackson is not a knight.", "Jackson cannot be a knight, because this would contradict the claim of Chloe that Jackson is not a knight.", "Assume Jackson is a knave. No contradiction is found in their false claim that If Luke is a knight then Jack is a knight.", "Assume Luke is a knight. No contradiction is found in their claim that Jackson is a knave if and only if Zoey is a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that Amelia is a knave or Amelia is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that Jack is a knight.", "Jack cannot be a knight, because this would contradict the false claim of Jackson that If Luke is a knight then Jack is a knight.", "Jack cannot be a knave, because this would contradict the claim of Amelia that Jack is a knight.", "We have exhausted all possibilities for Jack, so let us go back and reconsider Amelia.", "Assume Amelia is a knave. No contradiction is found in their false claim that Jack is a knight.", "Jack cannot be a knight, because this would contradict the false claim of Amelia that Jack is a knight.", "Assume Jack is a knave. No contradiction is found in their false claim that William is not a knave.", "William cannot be a knight, because this would contradict the false claim of Jack that William is not a knave.", "William cannot be a knave, because this would contradict the false claim of their own that Luke is a knight.", "We have exhausted all possibilities for William, Jack, and Amelia, so let us go back and reconsider Zoey.", "Zoey cannot be a knave, because this would contradict the false claim of their own that Amelia is a knave or Amelia is a knight.", "We have exhausted all possibilities for Zoey, so let us go back and reconsider Luke.", "Luke cannot be a knave, because this would contradict the false claim of Jackson that If Luke is a knight then Jack is a knight.", "We have exhausted all possibilities for Luke and Jackson, so let us go back and reconsider Chloe.", "Assume Chloe is a knave. No contradiction is found in their false claim that Jackson is not a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that If Luke is a knight then Jack is a knight.", "Assume Luke is a knight. No contradiction is found in their claim that Jackson is a knave if and only if Zoey is a knight.", "Zoey cannot be a knight, because this would contradict the claim of Luke that Jackson is a knave if and only if Zoey is a knight.", "Zoey cannot be a knave, because this would contradict the false claim of their own that Amelia is a knave or Amelia is a knight.", "We have exhausted all possibilities for Zoey, so let us go back and reconsider Luke.", "Assume Luke is a knave. No contradiction is found in their false claim that Jackson is a knave if and only if Zoey is a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that Amelia is a knave or Amelia is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that Jack is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that William is not a knave.", "William cannot be a knight, because this would contradict the claim of their own that Luke is a knight.", "William cannot be a knave, because this would contradict the claim of Jack that William is not a knave.", "We have exhausted all possibilities for William, so let us go back and reconsider Jack.", "Jack cannot be a knave, because this would contradict the claim of Amelia that Jack is a knight.", "We have exhausted all possibilities for Jack, so let us go back and reconsider Amelia.", "Assume Amelia is a knave. No contradiction is found in their false claim that Jack is a knight.", "Jack cannot be a knight, because this would contradict the false claim of Amelia that Jack is a knight.", "Assume Jack is a knave. No contradiction is found in their false claim that William is not a knave.", "William cannot be a knight, because this would contradict the claim of their own that Luke is a knight.", "Assume William is a knave. No contradiction is found in their false claim that Luke is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 4)), ('telling-truth', 6), ('or', ('lying', 3), ('telling-truth', 3)), ('telling-truth', 5), ('->', ('telling-truth', 6), ('telling-truth', 5)), ('not', ('lying', 1)), ('<=>', ('lying', 4), ('telling-truth', 2)))", "index": 338}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Ella, Elizabeth, Liam, Samuel, Chloe, Ethan, and James. According to Ella, \"Liam is a knave\". As Elizabeth put it, \"Ella is a knave or Chloe is a knave\". Liam remarked, \"James is a knave or Ella is a knight\". Samuel expressed that James is not a knight. \"Ethan is a knave or Ethan is a knight,\" Chloe mentioned. \"James is not a knave\" - Ethan. James commented, \"Ethan is a knight and Chloe is a knave\". So who is a knight and who is a knave?", "names": ["Ella", "Elizabeth", "Liam", "Samuel", "Chloe", "Ethan", "James"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, true, false, false], "solution_text": "Ella is a knave, Elizabeth is a knight, Liam is a knight, Samuel is a knight, Chloe is a knight, Ethan is a knave, and James is a knave.", "solution_text_format": "(1) Ella is a knave\n(2) Elizabeth is a knight\n(3) Liam is a knight\n(4) Samuel is a knight\n(5) Chloe is a knight\n(6) Ethan is a knave\n(7) James is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ella is a knight. No contradiction is found in their claim that Liam is a knave.", "Liam cannot be a knight, because this would contradict the claim of Ella that Liam is a knave.", "Liam cannot be a knave, because this would contradict the false claim of their own that James is a knave or Ella is a knight.", "We have exhausted all possibilities for Liam, so let us go back and reconsider Ella.", "Assume Ella is a knave. No contradiction is found in their false claim that Liam is a knave.", "Assume Liam is a knight. No contradiction is found in their claim that James is a knave or Ella is a knight.", "James cannot be a knight, because this would contradict the claim of Liam that James is a knave or Ella is a knight.", "Assume James is a knave. No contradiction is found in their false claim that Ethan is a knight and Chloe is a knave.", "Ethan cannot be a knight, because this would contradict the claim of their own that James is not a knave.", "Assume Ethan is a knave. No contradiction is found in their false claim that James is not a knave.", "Assume Chloe is a knight. No contradiction is found in their claim that Ethan is a knave or Ethan is a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Ella is a knave or Chloe is a knave.", "Assume Samuel is a knight. No contradiction is found in their claim that James is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 2), ('or', ('lying', 0), ('lying', 4)), ('or', ('lying', 6), ('telling-truth', 0)), ('not', ('telling-truth', 6)), ('or', ('lying', 5), ('telling-truth', 5)), ('not', ('lying', 6)), ('and', ('telling-truth', 5), ('lying', 4)))", "index": 339}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Amelia, Lucas, Emily, Penelope, Victoria, Isabella, and Mason. Amelia said that Penelope is a knave if and only if Lucas is a knave. In Lucas's words: \"Amelia is a knight or Penelope is a knave\". Emily said that Amelia is a knight if and only if Victoria is a knave. Penelope asserted: \"Emily is a knave if and only if Isabella is a knave\". Victoria commented, \"Lucas is a knave and Isabella is a knight\". Isabella remarked, \"Penelope is a knight and Amelia is a knave\". Mason was heard saying, \"Amelia is a knight and Isabella is a knight\". So who is a knight and who is a knave?", "names": ["Amelia", "Lucas", "Emily", "Penelope", "Victoria", "Isabella", "Mason"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true, true, true, false], "solution_text": "Amelia is a knave, Lucas is a knave, Emily is a knight, Penelope is a knight, Victoria is a knight, Isabella is a knight, and Mason is a knave.", "solution_text_format": "(1) Amelia is a knave\n(2) Lucas is a knave\n(3) Emily is a knight\n(4) Penelope is a knight\n(5) Victoria is a knight\n(6) Isabella is a knight\n(7) Mason is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Amelia is a knight. No contradiction is found in their claim that Penelope is a knave if and only if Lucas is a knave.", "Assume Penelope is a knight. No contradiction is found in their claim that Emily is a knave if and only if Isabella is a knave.", "Assume Emily is a knight. No contradiction is found in their claim that Amelia is a knight if and only if Victoria is a knave.", "Victoria cannot be a knight, because this would contradict the claim of Emily that Amelia is a knight if and only if Victoria is a knave.", "Assume Victoria is a knave. No contradiction is found in their false claim that Lucas is a knave and Isabella is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that Amelia is a knight or Penelope is a knave.", "Isabella cannot be a knight, because this would contradict the claim of their own that Penelope is a knight and Amelia is a knave.", "Isabella cannot be a knave, because this would contradict the claim of Penelope that Emily is a knave if and only if Isabella is a knave.", "We have exhausted all possibilities for Isabella, so let us go back and reconsider Lucas.", "Lucas cannot be a knave, because this would contradict the claim of Amelia that Penelope is a knave if and only if Lucas is a knave.", "We have exhausted all possibilities for Lucas and Victoria, so let us go back and reconsider Emily.", "Assume Emily is a knave. No contradiction is found in their false claim that Amelia is a knight if and only if Victoria is a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that Lucas is a knave and Isabella is a knight.", "Lucas cannot be a knight, because this would contradict the claim of Victoria that Lucas is a knave and Isabella is a knight.", "Lucas cannot be a knave, because this would contradict the claim of Amelia that Penelope is a knave if and only if Lucas is a knave.", "We have exhausted all possibilities for Lucas, so let us go back and reconsider Victoria.", "Victoria cannot be a knave, because this would contradict the false claim of Emily that Amelia is a knight if and only if Victoria is a knave.", "We have exhausted all possibilities for Victoria and Emily, so let us go back and reconsider Penelope.", "Assume Penelope is a knave. No contradiction is found in their false claim that Emily is a knave if and only if Isabella is a knave.", "Assume Emily is a knight. No contradiction is found in their claim that Amelia is a knight if and only if Victoria is a knave.", "Victoria cannot be a knight, because this would contradict the claim of Emily that Amelia is a knight if and only if Victoria is a knave.", "Assume Victoria is a knave. No contradiction is found in their false claim that Lucas is a knave and Isabella is a knight.", "Lucas cannot be a knight, because this would contradict the claim of Amelia that Penelope is a knave if and only if Lucas is a knave.", "Lucas cannot be a knave, because this would contradict the false claim of their own that Amelia is a knight or Penelope is a knave.", "We have exhausted all possibilities for Lucas and Victoria, so let us go back and reconsider Emily.", "Assume Emily is a knave. No contradiction is found in their false claim that Amelia is a knight if and only if Victoria is a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that Lucas is a knave and Isabella is a knight.", "Lucas cannot be a knight, because this would contradict the claim of Amelia that Penelope is a knave if and only if Lucas is a knave.", "Lucas cannot be a knave, because this would contradict the false claim of their own that Amelia is a knight or Penelope is a knave.", "We have exhausted all possibilities for Lucas, so let us go back and reconsider Victoria.", "Victoria cannot be a knave, because this would contradict the false claim of Emily that Amelia is a knight if and only if Victoria is a knave.", "We have exhausted all possibilities for Victoria, Emily, and Penelope, so let us go back and reconsider Amelia.", "Assume Amelia is a knave. No contradiction is found in their false claim that Penelope is a knave if and only if Lucas is a knave.", "Assume Penelope is a knight. No contradiction is found in their claim that Emily is a knave if and only if Isabella is a knave.", "Assume Emily is a knight. No contradiction is found in their claim that Amelia is a knight if and only if Victoria is a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that Lucas is a knave and Isabella is a knight.", "Lucas cannot be a knight, because this would contradict the false claim of Amelia that Penelope is a knave if and only if Lucas is a knave.", "Assume Lucas is a knave. No contradiction is found in their false claim that Amelia is a knight or Penelope is a knave.", "Assume Isabella is a knight. No contradiction is found in their claim that Penelope is a knight and Amelia is a knave.", "Mason cannot be a knight, because this would contradict the claim of their own that Amelia is a knight and Isabella is a knight.", "Assume Mason is a knave. No contradiction is found in their false claim that Amelia is a knight and Isabella is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 3), ('lying', 1)), ('or', ('telling-truth', 0), ('lying', 3)), ('<=>', ('telling-truth', 0), ('lying', 4)), ('<=>', ('lying', 2), ('lying', 5)), ('and', ('lying', 1), ('telling-truth', 5)), ('and', ('telling-truth', 3), ('lying', 0)), ('and', ('telling-truth', 0), ('telling-truth', 5)))", "index": 340}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Henry, Scarlett, Chloe, Penelope, Emma, Mia, and Mason. \"Emma is a knave if and only if Penelope is a knight\" - Henry. \"Penelope is a knave and Penelope is a knight,\" Scarlett claimed. As Chloe put it, \"If Mason is a knave then Mia is a knave\". \"If Emma is a knight then Mason is a knight,\" Penelope mentioned. Emma told you that Henry is not a knave. According to Mia, \"Scarlett is a knave if and only if Mason is a knight\". Mason was heard saying, \"Mia is a knight\". So who is a knight and who is a knave?", "names": ["Henry", "Scarlett", "Chloe", "Penelope", "Emma", "Mia", "Mason"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false, true, false, false], "solution_text": "Henry is a knight, Scarlett is a knave, Chloe is a knight, Penelope is a knave, Emma is a knight, Mia is a knave, and Mason is a knave.", "solution_text_format": "(1) Henry is a knight\n(2) Scarlett is a knave\n(3) Chloe is a knight\n(4) Penelope is a knave\n(5) Emma is a knight\n(6) Mia is a knave\n(7) Mason is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Henry is a knight. No contradiction is found in their claim that Emma is a knave if and only if Penelope is a knight.", "Assume Emma is a knight. No contradiction is found in their claim that Henry is not a knave.", "Penelope cannot be a knight, because this would contradict the claim of Henry that Emma is a knave if and only if Penelope is a knight.", "Assume Penelope is a knave. No contradiction is found in their false claim that If Emma is a knight then Mason is a knight.", "Mason cannot be a knight, because this would contradict the false claim of Penelope that If Emma is a knight then Mason is a knight.", "Assume Mason is a knave. No contradiction is found in their false claim that Mia is a knight.", "Mia cannot be a knight, because this would contradict the false claim of Mason that Mia is a knight.", "Assume Mia is a knave. No contradiction is found in their false claim that Scarlett is a knave if and only if Mason is a knight.", "Scarlett cannot be a knight, because this would contradict the claim of their own that Penelope is a knave and Penelope is a knight.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Penelope is a knave and Penelope is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that If Mason is a knave then Mia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 4), ('telling-truth', 3)), ('and', ('lying', 3), ('telling-truth', 3)), ('->', ('lying', 6), ('lying', 5)), ('->', ('telling-truth', 4), ('telling-truth', 6)), ('not', ('lying', 0)), ('<=>', ('lying', 1), ('telling-truth', 6)), ('telling-truth', 5))", "index": 341}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Ella, Lily, Chloe, Emily, Benjamin, Alexander, and Charlotte. Ella expressed that If Charlotte is a knight then Alexander is a knave. \"Benjamin is a knight if and only if Emily is a knave,\" Lily declared. In Chloe's words: \"Alexander is a knave and Lily is a knave\". Emily remarked, \"Charlotte is a knight if and only if Lily is a knight\". \"Lily is a knight,\" Benjamin declared. Alexander noted, \"Lily is a knave or Emily is a knave\". Charlotte commented, \"Benjamin is a knave or Lily is a knight\". So who is a knight and who is a knave?", "names": ["Ella", "Lily", "Chloe", "Emily", "Benjamin", "Alexander", "Charlotte"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, false, false, true, true], "solution_text": "Ella is a knave, Lily is a knave, Chloe is a knave, Emily is a knave, Benjamin is a knave, Alexander is a knight, and Charlotte is a knight.", "solution_text_format": "(1) Ella is a knave\n(2) Lily is a knave\n(3) Chloe is a knave\n(4) Emily is a knave\n(5) Benjamin is a knave\n(6) Alexander is a knight\n(7) Charlotte is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ella is a knight. No contradiction is found in their claim that If Charlotte is a knight then Alexander is a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that Benjamin is a knave or Lily is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that Lily is a knight.", "Assume Lily is a knight. No contradiction is found in their claim that Benjamin is a knight if and only if Emily is a knave.", "Emily cannot be a knight, because this would contradict the claim of Lily that Benjamin is a knight if and only if Emily is a knave.", "Emily cannot be a knave, because this would contradict the false claim of their own that Charlotte is a knight if and only if Lily is a knight.", "We have exhausted all possibilities for Emily, so let us go back and reconsider Lily.", "Lily cannot be a knave, because this would contradict the claim of Benjamin that Lily is a knight.", "We have exhausted all possibilities for Lily, so let us go back and reconsider Benjamin.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Lily is a knight.", "Lily cannot be a knight, because this would contradict the false claim of Benjamin that Lily is a knight.", "Assume Lily is a knave. No contradiction is found in their false claim that Benjamin is a knight if and only if Emily is a knave.", "Emily cannot be a knight, because this would contradict the false claim of Lily that Benjamin is a knight if and only if Emily is a knave.", "Assume Emily is a knave. No contradiction is found in their false claim that Charlotte is a knight if and only if Lily is a knight.", "Alexander cannot be a knight, because this would contradict the claim of Ella that If Charlotte is a knight then Alexander is a knave.", "Alexander cannot be a knave, because this would contradict the false claim of their own that Lily is a knave or Emily is a knave.", "We have exhausted all possibilities for Alexander, Emily, Lily, and Benjamin, so let us go back and reconsider Charlotte.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Benjamin is a knave or Lily is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that Lily is a knight.", "Lily cannot be a knight, because this would contradict the false claim of Charlotte that Benjamin is a knave or Lily is a knight.", "Lily cannot be a knave, because this would contradict the claim of Benjamin that Lily is a knight.", "We have exhausted all possibilities for Lily, so let us go back and reconsider Benjamin.", "Benjamin cannot be a knave, because this would contradict the false claim of Charlotte that Benjamin is a knave or Lily is a knight.", "We have exhausted all possibilities for Benjamin and Charlotte, so let us go back and reconsider Ella.", "Assume Ella is a knave. No contradiction is found in their false claim that If Charlotte is a knight then Alexander is a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that Benjamin is a knave or Lily is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that Lily is a knight.", "Assume Lily is a knight. No contradiction is found in their claim that Benjamin is a knight if and only if Emily is a knave.", "Emily cannot be a knight, because this would contradict the claim of Lily that Benjamin is a knight if and only if Emily is a knave.", "Emily cannot be a knave, because this would contradict the false claim of their own that Charlotte is a knight if and only if Lily is a knight.", "We have exhausted all possibilities for Emily, so let us go back and reconsider Lily.", "Lily cannot be a knave, because this would contradict the claim of Benjamin that Lily is a knight.", "We have exhausted all possibilities for Lily, so let us go back and reconsider Benjamin.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Lily is a knight.", "Lily cannot be a knight, because this would contradict the false claim of Benjamin that Lily is a knight.", "Assume Lily is a knave. No contradiction is found in their false claim that Benjamin is a knight if and only if Emily is a knave.", "Emily cannot be a knight, because this would contradict the false claim of Lily that Benjamin is a knight if and only if Emily is a knave.", "Assume Emily is a knave. No contradiction is found in their false claim that Charlotte is a knight if and only if Lily is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that Lily is a knave or Emily is a knave.", "Chloe cannot be a knight, because this would contradict the claim of their own that Alexander is a knave and Lily is a knave.", "Assume Chloe is a knave. No contradiction is found in their false claim that Alexander is a knave and Lily is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 6), ('lying', 5)), ('<=>', ('telling-truth', 4), ('lying', 3)), ('and', ('lying', 5), ('lying', 1)), ('<=>', ('telling-truth', 6), ('telling-truth', 1)), ('telling-truth', 1), ('or', ('lying', 1), ('lying', 3)), ('or', ('lying', 4), ('telling-truth', 1)))", "index": 342}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Mia, Aurora, Chloe, Logan, Aiden, Noah, and Henry. Mia commented, \"Noah is a knight or Logan is a knave\". Aurora commented, \"If Henry is a knight then Logan is a knight\". Chloe was heard saying, \"Logan is a knave if and only if Mia is a knight\". \"Chloe is a knave if and only if Aurora is a knight\" - Logan. Aiden told you that Henry is a knight and Noah is a knight. As Noah put it, \"Mia is a knight and Aurora is a knave\". \"Aurora is a knave and Henry is a knight,\" Henry declared. So who is a knight and who is a knave?", "names": ["Mia", "Aurora", "Chloe", "Logan", "Aiden", "Noah", "Henry"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false, false, false, false], "solution_text": "Mia is a knight, Aurora is a knight, Chloe is a knight, Logan is a knave, Aiden is a knave, Noah is a knave, and Henry is a knave.", "solution_text_format": "(1) Mia is a knight\n(2) Aurora is a knight\n(3) Chloe is a knight\n(4) Logan is a knave\n(5) Aiden is a knave\n(6) Noah is a knave\n(7) Henry is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Mia is a knight. No contradiction is found in their claim that Noah is a knight or Logan is a knave.", "Assume Noah is a knight. No contradiction is found in their claim that Mia is a knight and Aurora is a knave.", "Aurora cannot be a knight, because this would contradict the claim of Noah that Mia is a knight and Aurora is a knave.", "Assume Aurora is a knave. No contradiction is found in their false claim that If Henry is a knight then Logan is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that Aurora is a knave and Henry is a knight.", "Logan cannot be a knight, because this would contradict the false claim of Aurora that If Henry is a knight then Logan is a knight.", "Assume Logan is a knave. No contradiction is found in their false claim that Chloe is a knave if and only if Aurora is a knight.", "Chloe cannot be a knight, because this would contradict the false claim of Logan that Chloe is a knave if and only if Aurora is a knight.", "Chloe cannot be a knave, because this would contradict the false claim of their own that Logan is a knave if and only if Mia is a knight.", "We have exhausted all possibilities for Chloe and Logan, so let us go back and reconsider Henry.", "Henry cannot be a knave, because this would contradict the false claim of Aurora that If Henry is a knight then Logan is a knight.", "We have exhausted all possibilities for Henry and Aurora, so let us go back and reconsider Noah.", "Assume Noah is a knave. No contradiction is found in their false claim that Mia is a knight and Aurora is a knave.", "Assume Aurora is a knight. No contradiction is found in their claim that If Henry is a knight then Logan is a knight.", "Henry cannot be a knight, because this would contradict the claim of their own that Aurora is a knave and Henry is a knight.", "Assume Henry is a knave. No contradiction is found in their false claim that Aurora is a knave and Henry is a knight.", "Logan cannot be a knight, because this would contradict the claim of Mia that Noah is a knight or Logan is a knave.", "Assume Logan is a knave. No contradiction is found in their false claim that Chloe is a knave if and only if Aurora is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that Logan is a knave if and only if Mia is a knight.", "Aiden cannot be a knight, because this would contradict the claim of their own that Henry is a knight and Noah is a knight.", "Assume Aiden is a knave. No contradiction is found in their false claim that Henry is a knight and Noah is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 5), ('lying', 3)), ('->', ('telling-truth', 6), ('telling-truth', 3)), ('<=>', ('lying', 3), ('telling-truth', 0)), ('<=>', ('lying', 2), ('telling-truth', 1)), ('and', ('telling-truth', 6), ('telling-truth', 5)), ('and', ('telling-truth', 0), ('lying', 1)), ('and', ('lying', 1), ('telling-truth', 6)))", "index": 343}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Sophia, Joseph, Evelyn, Zoey, Charlotte, Samuel, and Ethan. \"Charlotte is a knight and Ethan is a knave,\" Sophia declared. Joseph remarked, \"Ethan is a knight and Samuel is a knave\". \"Evelyn is a knight or Samuel is a knave,\" Evelyn claimed. In a statement by Zoey: \"If Charlotte is a knave then Sophia is a knave\". Charlotte expressed that Joseph is not a knight. Samuel told you that Zoey is a knight if and only if Ethan is a knave. Ethan remarked, \"Evelyn is a knave\". So who is a knight and who is a knave?", "names": ["Sophia", "Joseph", "Evelyn", "Zoey", "Charlotte", "Samuel", "Ethan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, true, true, false], "solution_text": "Sophia is a knight, Joseph is a knave, Evelyn is a knight, Zoey is a knight, Charlotte is a knight, Samuel is a knight, and Ethan is a knave.", "solution_text_format": "(1) Sophia is a knight\n(2) Joseph is a knave\n(3) Evelyn is a knight\n(4) Zoey is a knight\n(5) Charlotte is a knight\n(6) Samuel is a knight\n(7) Ethan is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sophia is a knight. No contradiction is found in their claim that Charlotte is a knight and Ethan is a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that Joseph is not a knight.", "Joseph cannot be a knight, because this would contradict the claim of Charlotte that Joseph is not a knight.", "Assume Joseph is a knave. No contradiction is found in their false claim that Ethan is a knight and Samuel is a knave.", "Ethan cannot be a knight, because this would contradict the claim of Sophia that Charlotte is a knight and Ethan is a knave.", "Assume Ethan is a knave. No contradiction is found in their false claim that Evelyn is a knave.", "Assume Evelyn is a knight. No contradiction is found in their claim that Evelyn is a knight or Samuel is a knave.", "Assume Samuel is a knight. No contradiction is found in their claim that Zoey is a knight if and only if Ethan is a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that If Charlotte is a knave then Sophia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 4), ('lying', 6)), ('and', ('telling-truth', 6), ('lying', 5)), ('or', ('telling-truth', 2), ('lying', 5)), ('->', ('lying', 4), ('lying', 0)), ('not', ('telling-truth', 1)), ('<=>', ('telling-truth', 3), ('lying', 6)), ('lying', 2))", "index": 344}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Henry, Lily, Benjamin, James, Abigail, Sophia, and Elizabeth. Henry said, \"Benjamin is not a knight.\" In Lily's words: \"Benjamin is a knight if and only if Henry is a knave\". Benjamin remarked, \"James is a knave\". \"Lily is a knave if and only if Lily is a knight,\" James declared. Abigail said, \"Sophia is not a knave.\" Sophia remarked, \"Lily is a knight\". Elizabeth commented, \"If Lily is a knave then Lily is a knight\". So who is a knight and who is a knave?", "names": ["Henry", "Lily", "Benjamin", "James", "Abigail", "Sophia", "Elizabeth"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false, true, true, true], "solution_text": "Henry is a knave, Lily is a knight, Benjamin is a knight, James is a knave, Abigail is a knight, Sophia is a knight, and Elizabeth is a knight.", "solution_text_format": "(1) Henry is a knave\n(2) Lily is a knight\n(3) Benjamin is a knight\n(4) James is a knave\n(5) Abigail is a knight\n(6) Sophia is a knight\n(7) Elizabeth is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Henry is a knight. No contradiction is found in their claim that Benjamin is not a knight.", "Benjamin cannot be a knight, because this would contradict the claim of Henry that Benjamin is not a knight.", "Assume Benjamin is a knave. No contradiction is found in their false claim that James is a knave.", "James cannot be a knight, because this would contradict the claim of their own that Lily is a knave if and only if Lily is a knight.", "James cannot be a knave, because this would contradict the false claim of Benjamin that James is a knave.", "We have exhausted all possibilities for James and Benjamin, so let us go back and reconsider Henry.", "Assume Henry is a knave. No contradiction is found in their false claim that Benjamin is not a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that James is a knave.", "James cannot be a knight, because this would contradict the claim of Benjamin that James is a knave.", "Assume James is a knave. No contradiction is found in their false claim that Lily is a knave if and only if Lily is a knight.", "Assume Lily is a knight. No contradiction is found in their claim that Benjamin is a knight if and only if Henry is a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that Sophia is not a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that Lily is a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that If Lily is a knave then Lily is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 2)), ('<=>', ('telling-truth', 2), ('lying', 0)), ('lying', 3), ('<=>', ('lying', 1), ('telling-truth', 1)), ('not', ('lying', 5)), ('telling-truth', 1), ('->', ('lying', 1), ('telling-truth', 1)))", "index": 345}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Alexander, Lily, Chloe, Daniel, Sebastian, Mason, and Olivia. \"If Sebastian is a knight then Alexander is a knight,\" Alexander declared. Lily was heard saying, \"If Chloe is a knave then Daniel is a knight\". As Chloe put it, \"Mason is a knave\". Daniel was heard saying, \"Lily is a knave and Alexander is a knave\". Sebastian asserted: \"Olivia is not a knight\". In Mason's words: \"Alexander is not a knave\". Olivia remarked, \"Lily is a knight if and only if Sebastian is a knave\". So who is a knight and who is a knave?", "names": ["Alexander", "Lily", "Chloe", "Daniel", "Sebastian", "Mason", "Olivia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false, true, false, false], "solution_text": "Alexander is a knave, Lily is a knight, Chloe is a knight, Daniel is a knave, Sebastian is a knight, Mason is a knave, and Olivia is a knave.", "solution_text_format": "(1) Alexander is a knave\n(2) Lily is a knight\n(3) Chloe is a knight\n(4) Daniel is a knave\n(5) Sebastian is a knight\n(6) Mason is a knave\n(7) Olivia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Alexander is a knight. No contradiction is found in their claim that If Sebastian is a knight then Alexander is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Olivia is not a knight.", "Olivia cannot be a knight, because this would contradict the claim of Sebastian that Olivia is not a knight.", "Assume Olivia is a knave. No contradiction is found in their false claim that Lily is a knight if and only if Sebastian is a knave.", "Assume Lily is a knight. No contradiction is found in their claim that If Chloe is a knave then Daniel is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that Mason is a knave.", "Mason cannot be a knight, because this would contradict the claim of Chloe that Mason is a knave.", "Mason cannot be a knave, because this would contradict the false claim of their own that Alexander is not a knave.", "We have exhausted all possibilities for Mason, so let us go back and reconsider Chloe.", "Assume Chloe is a knave. No contradiction is found in their false claim that Mason is a knave.", "Assume Mason is a knight. No contradiction is found in their claim that Alexander is not a knave.", "Daniel cannot be a knight, because this would contradict the claim of their own that Lily is a knave and Alexander is a knave.", "Daniel cannot be a knave, because this would contradict the claim of Lily that If Chloe is a knave then Daniel is a knight.", "We have exhausted all possibilities for Daniel, so let us go back and reconsider Mason.", "Mason cannot be a knave, because this would contradict the false claim of Chloe that Mason is a knave.", "We have exhausted all possibilities for Mason and Chloe, so let us go back and reconsider Lily.", "Lily cannot be a knave, because this would contradict the false claim of Olivia that Lily is a knight if and only if Sebastian is a knave.", "We have exhausted all possibilities for Lily and Olivia, so let us go back and reconsider Sebastian.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Olivia is not a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that Lily is a knight if and only if Sebastian is a knave.", "Assume Lily is a knight. No contradiction is found in their claim that If Chloe is a knave then Daniel is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that Mason is a knave.", "Mason cannot be a knight, because this would contradict the claim of Chloe that Mason is a knave.", "Mason cannot be a knave, because this would contradict the false claim of their own that Alexander is not a knave.", "We have exhausted all possibilities for Mason, so let us go back and reconsider Chloe.", "Assume Chloe is a knave. No contradiction is found in their false claim that Mason is a knave.", "Assume Mason is a knight. No contradiction is found in their claim that Alexander is not a knave.", "Daniel cannot be a knight, because this would contradict the claim of their own that Lily is a knave and Alexander is a knave.", "Daniel cannot be a knave, because this would contradict the claim of Lily that If Chloe is a knave then Daniel is a knight.", "We have exhausted all possibilities for Daniel, so let us go back and reconsider Mason.", "Mason cannot be a knave, because this would contradict the false claim of Chloe that Mason is a knave.", "We have exhausted all possibilities for Mason and Chloe, so let us go back and reconsider Lily.", "Lily cannot be a knave, because this would contradict the claim of Olivia that Lily is a knight if and only if Sebastian is a knave.", "We have exhausted all possibilities for Lily, so let us go back and reconsider Olivia.", "Olivia cannot be a knave, because this would contradict the false claim of Sebastian that Olivia is not a knight.", "We have exhausted all possibilities for Olivia and Sebastian, so let us go back and reconsider Alexander.", "Assume Alexander is a knave. No contradiction is found in their false claim that If Sebastian is a knight then Alexander is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Olivia is not a knight.", "Olivia cannot be a knight, because this would contradict the claim of Sebastian that Olivia is not a knight.", "Assume Olivia is a knave. No contradiction is found in their false claim that Lily is a knight if and only if Sebastian is a knave.", "Assume Lily is a knight. No contradiction is found in their claim that If Chloe is a knave then Daniel is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that Mason is a knave.", "Mason cannot be a knight, because this would contradict the claim of Chloe that Mason is a knave.", "Assume Mason is a knave. No contradiction is found in their false claim that Alexander is not a knave.", "Daniel cannot be a knight, because this would contradict the claim of their own that Lily is a knave and Alexander is a knave.", "Assume Daniel is a knave. No contradiction is found in their false claim that Lily is a knave and Alexander is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 4), ('telling-truth', 0)), ('->', ('lying', 2), ('telling-truth', 3)), ('lying', 5), ('and', ('lying', 1), ('lying', 0)), ('not', ('telling-truth', 6)), ('not', ('lying', 0)), ('<=>', ('telling-truth', 1), ('lying', 4)))", "index": 346}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Elizabeth, Penelope, Amelia, Liam, Abigail, Oliver, and Aurora. Elizabeth said, \"Liam is not a knave.\" \"Aurora is a knave if and only if Amelia is a knight,\" Penelope declared. Amelia was heard saying, \"Aurora is a knight or Penelope is a knave\". As Liam put it, \"Aurora is a knave if and only if Amelia is a knight\". Abigail stated, \"Liam is a knave\". Oliver was heard saying, \"Liam is a knave and Amelia is a knave\". \"If Penelope is a knave then Oliver is a knave\" - Aurora. So who is a knight and who is a knave?", "names": ["Elizabeth", "Penelope", "Amelia", "Liam", "Abigail", "Oliver", "Aurora"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false, true, false, true], "solution_text": "Elizabeth is a knave, Penelope is a knave, Amelia is a knight, Liam is a knave, Abigail is a knight, Oliver is a knave, and Aurora is a knight.", "solution_text_format": "(1) Elizabeth is a knave\n(2) Penelope is a knave\n(3) Amelia is a knight\n(4) Liam is a knave\n(5) Abigail is a knight\n(6) Oliver is a knave\n(7) Aurora is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Elizabeth is a knight. No contradiction is found in their claim that Liam is not a knave.", "Assume Liam is a knight. No contradiction is found in their claim that Aurora is a knave if and only if Amelia is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that If Penelope is a knave then Oliver is a knave.", "Assume Penelope is a knight. No contradiction is found in their claim that Aurora is a knave if and only if Amelia is a knight.", "Amelia cannot be a knight, because this would contradict the claim of Penelope that Aurora is a knave if and only if Amelia is a knight.", "Amelia cannot be a knave, because this would contradict the false claim of their own that Aurora is a knight or Penelope is a knave.", "We have exhausted all possibilities for Amelia, so let us go back and reconsider Penelope.", "Assume Penelope is a knave. No contradiction is found in their false claim that Aurora is a knave if and only if Amelia is a knight.", "Amelia cannot be a knight, because this would contradict the claim of Liam that Aurora is a knave if and only if Amelia is a knight.", "Amelia cannot be a knave, because this would contradict the false claim of Penelope that Aurora is a knave if and only if Amelia is a knight.", "We have exhausted all possibilities for Amelia and Penelope, so let us go back and reconsider Aurora.", "Assume Aurora is a knave. No contradiction is found in their false claim that If Penelope is a knave then Oliver is a knave.", "Penelope cannot be a knight, because this would contradict the false claim of Aurora that If Penelope is a knave then Oliver is a knave.", "Assume Penelope is a knave. No contradiction is found in their false claim that Aurora is a knave if and only if Amelia is a knight.", "Amelia cannot be a knight, because this would contradict the false claim of Penelope that Aurora is a knave if and only if Amelia is a knight.", "Amelia cannot be a knave, because this would contradict the false claim of their own that Aurora is a knight or Penelope is a knave.", "We have exhausted all possibilities for Amelia, Penelope, and Aurora, so let us go back and reconsider Liam.", "Liam cannot be a knave, because this would contradict the claim of Elizabeth that Liam is not a knave.", "We have exhausted all possibilities for Liam, so let us go back and reconsider Elizabeth.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Liam is not a knave.", "Liam cannot be a knight, because this would contradict the false claim of Elizabeth that Liam is not a knave.", "Assume Liam is a knave. No contradiction is found in their false claim that Aurora is a knave if and only if Amelia is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that If Penelope is a knave then Oliver is a knave.", "Assume Penelope is a knight. No contradiction is found in their claim that Aurora is a knave if and only if Amelia is a knight.", "Amelia cannot be a knight, because this would contradict the claim of Penelope that Aurora is a knave if and only if Amelia is a knight.", "Amelia cannot be a knave, because this would contradict the false claim of their own that Aurora is a knight or Penelope is a knave.", "We have exhausted all possibilities for Amelia, so let us go back and reconsider Penelope.", "Assume Penelope is a knave. No contradiction is found in their false claim that Aurora is a knave if and only if Amelia is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that Aurora is a knight or Penelope is a knave.", "Oliver cannot be a knight, because this would contradict the claim of their own that Liam is a knave and Amelia is a knave.", "Assume Oliver is a knave. No contradiction is found in their false claim that Liam is a knave and Amelia is a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that Liam is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 3)), ('<=>', ('lying', 6), ('telling-truth', 2)), ('or', ('telling-truth', 6), ('lying', 1)), ('<=>', ('lying', 6), ('telling-truth', 2)), ('lying', 3), ('and', ('lying', 3), ('lying', 2)), ('->', ('lying', 1), ('lying', 5)))", "index": 347}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Abigail, Aria, Chloe, William, Aurora, Avery, and Matthew. Abigail asserted: \"Avery is a knave and Aurora is a knave\". \"Avery is a knave or Aria is a knight,\" Aria declared. Chloe commented, \"Aria is a knight\". In William's words: \"Aria is a knight and Matthew is a knight\". \"Aria is a knave and Abigail is a knight,\" Aurora claimed. \"If Avery is a knight then Chloe is a knave,\" Avery declared. Matthew was heard saying, \"Aria is a knight or Chloe is a knave\". So who is a knight and who is a knave?", "names": ["Abigail", "Aria", "Chloe", "William", "Aurora", "Avery", "Matthew"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, false, false, true, true], "solution_text": "Abigail is a knave, Aria is a knave, Chloe is a knave, William is a knave, Aurora is a knave, Avery is a knight, and Matthew is a knight.", "solution_text_format": "(1) Abigail is a knave\n(2) Aria is a knave\n(3) Chloe is a knave\n(4) William is a knave\n(5) Aurora is a knave\n(6) Avery is a knight\n(7) Matthew is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Abigail is a knight. No contradiction is found in their claim that Avery is a knave and Aurora is a knave.", "Avery cannot be a knight, because this would contradict the claim of Abigail that Avery is a knave and Aurora is a knave.", "Avery cannot be a knave, because this would contradict the false claim of their own that If Avery is a knight then Chloe is a knave.", "We have exhausted all possibilities for Avery, so let us go back and reconsider Abigail.", "Assume Abigail is a knave. No contradiction is found in their false claim that Avery is a knave and Aurora is a knave.", "Assume Avery is a knight. No contradiction is found in their claim that If Avery is a knight then Chloe is a knave.", "Chloe cannot be a knight, because this would contradict the claim of Avery that If Avery is a knight then Chloe is a knave.", "Assume Chloe is a knave. No contradiction is found in their false claim that Aria is a knight.", "Aria cannot be a knight, because this would contradict the false claim of Chloe that Aria is a knight.", "Assume Aria is a knave. No contradiction is found in their false claim that Avery is a knave or Aria is a knight.", "Aurora cannot be a knight, because this would contradict the claim of their own that Aria is a knave and Abigail is a knight.", "Assume Aurora is a knave. No contradiction is found in their false claim that Aria is a knave and Abigail is a knight.", "William cannot be a knight, because this would contradict the claim of their own that Aria is a knight and Matthew is a knight.", "Assume William is a knave. No contradiction is found in their false claim that Aria is a knight and Matthew is a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that Aria is a knight or Chloe is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 5), ('lying', 4)), ('or', ('lying', 5), ('telling-truth', 1)), ('telling-truth', 1), ('and', ('telling-truth', 1), ('telling-truth', 6)), ('and', ('lying', 1), ('telling-truth', 0)), ('->', ('telling-truth', 5), ('lying', 2)), ('or', ('telling-truth', 1), ('lying', 2)))", "index": 348}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Grace, Jacob, Sophia, Avery, Oliver, Mia, and Zoey. Grace noted, \"Sophia is a knight and Avery is a knave\". Jacob commented, \"Mia is a knave if and only if Sophia is a knave\". \"If Mia is a knight then Jacob is a knave\" - Sophia. Avery commented, \"Zoey is a knight and Grace is a knave\". Oliver stated, \"Grace is a knave\". Mia stated, \"Avery is a knight or Jacob is a knight\". As Zoey put it, \"Mia is a knight and Avery is a knight\". So who is a knight and who is a knave?", "names": ["Grace", "Jacob", "Sophia", "Avery", "Oliver", "Mia", "Zoey"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false, false, false, false], "solution_text": "Grace is a knight, Jacob is a knave, Sophia is a knight, Avery is a knave, Oliver is a knave, Mia is a knave, and Zoey is a knave.", "solution_text_format": "(1) Grace is a knight\n(2) Jacob is a knave\n(3) Sophia is a knight\n(4) Avery is a knave\n(5) Oliver is a knave\n(6) Mia is a knave\n(7) Zoey is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Grace is a knight. No contradiction is found in their claim that Sophia is a knight and Avery is a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that If Mia is a knight then Jacob is a knave.", "Assume Mia is a knight. No contradiction is found in their claim that Avery is a knight or Jacob is a knight.", "Avery cannot be a knight, because this would contradict the claim of Grace that Sophia is a knight and Avery is a knave.", "Assume Avery is a knave. No contradiction is found in their false claim that Zoey is a knight and Grace is a knave.", "Zoey cannot be a knight, because this would contradict the claim of their own that Mia is a knight and Avery is a knight.", "Assume Zoey is a knave. No contradiction is found in their false claim that Mia is a knight and Avery is a knight.", "Jacob cannot be a knight, because this would contradict the claim of Sophia that If Mia is a knight then Jacob is a knave.", "Jacob cannot be a knave, because this would contradict the false claim of their own that Mia is a knave if and only if Sophia is a knave.", "We have exhausted all possibilities for Jacob, Zoey, and Avery, so let us go back and reconsider Mia.", "Assume Mia is a knave. No contradiction is found in their false claim that Avery is a knight or Jacob is a knight.", "Avery cannot be a knight, because this would contradict the claim of Grace that Sophia is a knight and Avery is a knave.", "Assume Avery is a knave. No contradiction is found in their false claim that Zoey is a knight and Grace is a knave.", "Zoey cannot be a knight, because this would contradict the claim of their own that Mia is a knight and Avery is a knight.", "Assume Zoey is a knave. No contradiction is found in their false claim that Mia is a knight and Avery is a knight.", "Jacob cannot be a knight, because this would contradict the claim of their own that Mia is a knave if and only if Sophia is a knave.", "Assume Jacob is a knave. No contradiction is found in their false claim that Mia is a knave if and only if Sophia is a knave.", "Oliver cannot be a knight, because this would contradict the claim of their own that Grace is a knave.", "Assume Oliver is a knave. No contradiction is found in their false claim that Grace is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 2), ('lying', 3)), ('<=>', ('lying', 5), ('lying', 2)), ('->', ('telling-truth', 5), ('lying', 1)), ('and', ('telling-truth', 6), ('lying', 0)), ('lying', 0), ('or', ('telling-truth', 3), ('telling-truth', 1)), ('and', ('telling-truth', 5), ('telling-truth', 3)))", "index": 349}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Charlotte, Zoey, Grace, Victoria, Emily, Jacob, and Benjamin. In Charlotte's words: \"Benjamin is a knight if and only if Emily is a knight\". Zoey told you that Zoey is a knight. In a statement by Grace: \"Emily is a knight and Benjamin is a knight\". \"Zoey is a knight if and only if Emily is a knave,\" Victoria declared. Emily said that Zoey is a knave if and only if Grace is a knight. \"Grace is not a knight,\" Jacob claimed. In Benjamin's words: \"Grace is a knave\". So who is a knight and who is a knave?", "names": ["Charlotte", "Zoey", "Grace", "Victoria", "Emily", "Jacob", "Benjamin"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, false, false, true, true], "solution_text": "Charlotte is a knave, Zoey is a knave, Grace is a knave, Victoria is a knave, Emily is a knave, Jacob is a knight, and Benjamin is a knight.", "solution_text_format": "(1) Charlotte is a knave\n(2) Zoey is a knave\n(3) Grace is a knave\n(4) Victoria is a knave\n(5) Emily is a knave\n(6) Jacob is a knight\n(7) Benjamin is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Charlotte is a knight. No contradiction is found in their claim that Benjamin is a knight if and only if Emily is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that Grace is a knave.", "Grace cannot be a knight, because this would contradict the claim of Benjamin that Grace is a knave.", "Assume Grace is a knave. No contradiction is found in their false claim that Emily is a knight and Benjamin is a knight.", "Emily cannot be a knight, because this would contradict the false claim of Grace that Emily is a knight and Benjamin is a knight.", "Emily cannot be a knave, because this would contradict the claim of Charlotte that Benjamin is a knight if and only if Emily is a knight.", "We have exhausted all possibilities for Emily and Grace, so let us go back and reconsider Benjamin.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Grace is a knave.", "Grace cannot be a knight, because this would contradict the claim of their own that Emily is a knight and Benjamin is a knight.", "Grace cannot be a knave, because this would contradict the false claim of Benjamin that Grace is a knave.", "We have exhausted all possibilities for Grace and Benjamin, so let us go back and reconsider Charlotte.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Benjamin is a knight if and only if Emily is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that Grace is a knave.", "Grace cannot be a knight, because this would contradict the claim of Benjamin that Grace is a knave.", "Assume Grace is a knave. No contradiction is found in their false claim that Emily is a knight and Benjamin is a knight.", "Emily cannot be a knight, because this would contradict the false claim of Charlotte that Benjamin is a knight if and only if Emily is a knight.", "Assume Emily is a knave. No contradiction is found in their false claim that Zoey is a knave if and only if Grace is a knight.", "Zoey cannot be a knight, because this would contradict the false claim of Emily that Zoey is a knave if and only if Grace is a knight.", "Assume Zoey is a knave. No contradiction is found in their false claim that Zoey is a knight.", "Victoria cannot be a knight, because this would contradict the claim of their own that Zoey is a knight if and only if Emily is a knave.", "Assume Victoria is a knave. No contradiction is found in their false claim that Zoey is a knight if and only if Emily is a knave.", "Assume Jacob is a knight. No contradiction is found in their claim that Grace is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 6), ('telling-truth', 4)), ('telling-truth', 1), ('and', ('telling-truth', 4), ('telling-truth', 6)), ('<=>', ('telling-truth', 1), ('lying', 4)), ('<=>', ('lying', 1), ('telling-truth', 2)), ('not', ('telling-truth', 2)), ('lying', 2))", "index": 350}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: James, Alexander, Matthew, Ava, Ella, Lily, and Harper. James was heard saying, \"Lily is a knave and Matthew is a knight\". \"Matthew is a knave and Ava is a knight,\" Alexander claimed. Matthew said that Lily is a knight if and only if James is a knight. Ava said, \"If Alexander is a knight then Matthew is a knave.\" Ella noted, \"If Harper is a knight then Lily is a knight\". \"Matthew is not a knight,\" Lily declared. Harper commented, \"If Matthew is a knave then Ella is a knave\". So who is a knight and who is a knave?", "names": ["James", "Alexander", "Matthew", "Ava", "Ella", "Lily", "Harper"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true, true, true, false], "solution_text": "James is a knave, Alexander is a knight, Matthew is a knave, Ava is a knight, Ella is a knight, Lily is a knight, and Harper is a knave.", "solution_text_format": "(1) James is a knave\n(2) Alexander is a knight\n(3) Matthew is a knave\n(4) Ava is a knight\n(5) Ella is a knight\n(6) Lily is a knight\n(7) Harper is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume James is a knight. No contradiction is found in their claim that Lily is a knave and Matthew is a knight.", "Lily cannot be a knight, because this would contradict the claim of James that Lily is a knave and Matthew is a knight.", "Assume Lily is a knave. No contradiction is found in their false claim that Matthew is not a knight.", "Matthew cannot be a knight, because this would contradict the claim of their own that Lily is a knight if and only if James is a knight.", "Matthew cannot be a knave, because this would contradict the claim of James that Lily is a knave and Matthew is a knight.", "We have exhausted all possibilities for Matthew and Lily, so let us go back and reconsider James.", "Assume James is a knave. No contradiction is found in their false claim that Lily is a knave and Matthew is a knight.", "Assume Lily is a knight. No contradiction is found in their claim that Matthew is not a knight.", "Matthew cannot be a knight, because this would contradict the claim of their own that Lily is a knight if and only if James is a knight.", "Assume Matthew is a knave. No contradiction is found in their false claim that Lily is a knight if and only if James is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that Matthew is a knave and Ava is a knight.", "Assume Ava is a knight. No contradiction is found in their claim that If Alexander is a knight then Matthew is a knave.", "Assume Ella is a knight. No contradiction is found in their claim that If Harper is a knight then Lily is a knight.", "Harper cannot be a knight, because this would contradict the claim of their own that If Matthew is a knave then Ella is a knave.", "Assume Harper is a knave. No contradiction is found in their false claim that If Matthew is a knave then Ella is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 5), ('telling-truth', 2)), ('and', ('lying', 2), ('telling-truth', 3)), ('<=>', ('telling-truth', 5), ('telling-truth', 0)), ('->', ('telling-truth', 1), ('lying', 2)), ('->', ('telling-truth', 6), ('telling-truth', 5)), ('not', ('telling-truth', 2)), ('->', ('lying', 2), ('lying', 4)))", "index": 351}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Ethan, Jack, Jacob, Lily, Noah, Owen, and Michael. As Ethan put it, \"Owen is a knave if and only if Jacob is a knave\". Jack expressed that If Noah is a knight then Jack is a knight. Jacob expressed that Owen is not a knight. As Lily put it, \"Ethan is a knave and Jacob is a knight\". In a statement by Noah: \"Owen is not a knight\". Owen asserted: \"Noah is a knight and Jack is a knight\". \"If Jack is a knave then Jack is a knight\" - Michael. So who is a knight and who is a knave?", "names": ["Ethan", "Jack", "Jacob", "Lily", "Noah", "Owen", "Michael"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true, true, false, false], "solution_text": "Ethan is a knave, Jack is a knave, Jacob is a knight, Lily is a knight, Noah is a knight, Owen is a knave, and Michael is a knave.", "solution_text_format": "(1) Ethan is a knave\n(2) Jack is a knave\n(3) Jacob is a knight\n(4) Lily is a knight\n(5) Noah is a knight\n(6) Owen is a knave\n(7) Michael is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ethan is a knight. No contradiction is found in their claim that Owen is a knave if and only if Jacob is a knave.", "Assume Owen is a knight. No contradiction is found in their claim that Noah is a knight and Jack is a knight.", "Noah cannot be a knight, because this would contradict the claim of their own that Owen is not a knight.", "Noah cannot be a knave, because this would contradict the claim of Owen that Noah is a knight and Jack is a knight.", "We have exhausted all possibilities for Noah, so let us go back and reconsider Owen.", "Assume Owen is a knave. No contradiction is found in their false claim that Noah is a knight and Jack is a knight.", "Assume Noah is a knight. No contradiction is found in their claim that Owen is not a knight.", "Jack cannot be a knight, because this would contradict the false claim of Owen that Noah is a knight and Jack is a knight.", "Assume Jack is a knave. No contradiction is found in their false claim that If Noah is a knight then Jack is a knight.", "Jacob cannot be a knight, because this would contradict the claim of Ethan that Owen is a knave if and only if Jacob is a knave.", "Jacob cannot be a knave, because this would contradict the false claim of their own that Owen is not a knight.", "We have exhausted all possibilities for Jacob and Jack, so let us go back and reconsider Noah.", "Noah cannot be a knave, because this would contradict the false claim of their own that Owen is not a knight.", "We have exhausted all possibilities for Noah and Owen, so let us go back and reconsider Ethan.", "Assume Ethan is a knave. No contradiction is found in their false claim that Owen is a knave if and only if Jacob is a knave.", "Assume Owen is a knight. No contradiction is found in their claim that Noah is a knight and Jack is a knight.", "Noah cannot be a knight, because this would contradict the claim of their own that Owen is not a knight.", "Noah cannot be a knave, because this would contradict the claim of Owen that Noah is a knight and Jack is a knight.", "We have exhausted all possibilities for Noah, so let us go back and reconsider Owen.", "Assume Owen is a knave. No contradiction is found in their false claim that Noah is a knight and Jack is a knight.", "Assume Noah is a knight. No contradiction is found in their claim that Owen is not a knight.", "Jack cannot be a knight, because this would contradict the false claim of Owen that Noah is a knight and Jack is a knight.", "Assume Jack is a knave. No contradiction is found in their false claim that If Noah is a knight then Jack is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that Owen is not a knight.", "Assume Lily is a knight. No contradiction is found in their claim that Ethan is a knave and Jacob is a knight.", "Michael cannot be a knight, because this would contradict the claim of their own that If Jack is a knave then Jack is a knight.", "Assume Michael is a knave. No contradiction is found in their false claim that If Jack is a knave then Jack is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 5), ('lying', 2)), ('->', ('telling-truth', 4), ('telling-truth', 1)), ('not', ('telling-truth', 5)), ('and', ('lying', 0), ('telling-truth', 2)), ('not', ('telling-truth', 5)), ('and', ('telling-truth', 4), ('telling-truth', 1)), ('->', ('lying', 1), ('telling-truth', 1)))", "index": 352}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Luke, Sebastian, Riley, Grace, Sofia, Aurora, and Emily. Luke said that Riley is a knave if and only if Grace is a knave. \"Sofia is a knave,\" Sebastian mentioned. In a statement by Riley: \"Aurora is a knight if and only if Grace is a knight\". \"If Riley is a knave then Grace is a knight,\" Grace mentioned. Sofia noted, \"Aurora is a knave if and only if Grace is a knave\". According to Aurora, \"Emily is a knight if and only if Luke is a knave\". \"Sebastian is not a knave\" - Emily. So who is a knight and who is a knave?", "names": ["Luke", "Sebastian", "Riley", "Grace", "Sofia", "Aurora", "Emily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, true, true, false], "solution_text": "Luke is a knight, Sebastian is a knave, Riley is a knight, Grace is a knight, Sofia is a knight, Aurora is a knight, and Emily is a knave.", "solution_text_format": "(1) Luke is a knight\n(2) Sebastian is a knave\n(3) Riley is a knight\n(4) Grace is a knight\n(5) Sofia is a knight\n(6) Aurora is a knight\n(7) Emily is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Luke is a knight. No contradiction is found in their claim that Riley is a knave if and only if Grace is a knave.", "Assume Riley is a knight. No contradiction is found in their claim that Aurora is a knight if and only if Grace is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that Emily is a knight if and only if Luke is a knave.", "Emily cannot be a knight, because this would contradict the claim of Aurora that Emily is a knight if and only if Luke is a knave.", "Assume Emily is a knave. No contradiction is found in their false claim that Sebastian is not a knave.", "Sebastian cannot be a knight, because this would contradict the false claim of Emily that Sebastian is not a knave.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Sofia is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that Aurora is a knave if and only if Grace is a knave.", "Assume Grace is a knight. No contradiction is found in their claim that If Riley is a knave then Grace is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 2), ('lying', 3)), ('lying', 4), ('<=>', ('telling-truth', 5), ('telling-truth', 3)), ('->', ('lying', 2), ('telling-truth', 3)), ('<=>', ('lying', 5), ('lying', 3)), ('<=>', ('telling-truth', 6), ('lying', 0)), ('not', ('lying', 1)))", "index": 353}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Michael, Scarlett, Aria, Luke, Riley, Matthew, and Jackson. \"Michael is a knight and Matthew is a knave,\" Michael claimed. Scarlett commented, \"If Michael is a knave then Jackson is a knave\". \"Matthew is a knave and Aria is a knight\" - Aria. Luke stated, \"Scarlett is a knave and Michael is a knave\". Riley remarked, \"If Aria is a knight then Jackson is a knave\". Matthew was heard saying, \"Luke is a knave or Jackson is a knave\". Jackson said, \"If Aria is a knight then Aria is a knave.\" So who is a knight and who is a knave?", "names": ["Michael", "Scarlett", "Aria", "Luke", "Riley", "Matthew", "Jackson"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true, true, false, true], "solution_text": "Michael is a knave, Scarlett is a knave, Aria is a knave, Luke is a knight, Riley is a knight, Matthew is a knave, and Jackson is a knight.", "solution_text_format": "(1) Michael is a knave\n(2) Scarlett is a knave\n(3) Aria is a knave\n(4) Luke is a knight\n(5) Riley is a knight\n(6) Matthew is a knave\n(7) Jackson is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Michael is a knight. No contradiction is found in their claim that Michael is a knight and Matthew is a knave.", "Matthew cannot be a knight, because this would contradict the claim of Michael that Michael is a knight and Matthew is a knave.", "Assume Matthew is a knave. No contradiction is found in their false claim that Luke is a knave or Jackson is a knave.", "Luke cannot be a knight, because this would contradict the claim of their own that Scarlett is a knave and Michael is a knave.", "Luke cannot be a knave, because this would contradict the false claim of Matthew that Luke is a knave or Jackson is a knave.", "We have exhausted all possibilities for Luke and Matthew, so let us go back and reconsider Michael.", "Assume Michael is a knave. No contradiction is found in their false claim that Michael is a knight and Matthew is a knave.", "Assume Matthew is a knight. No contradiction is found in their claim that Luke is a knave or Jackson is a knave.", "Assume Luke is a knight. No contradiction is found in their claim that Scarlett is a knave and Michael is a knave.", "Scarlett cannot be a knight, because this would contradict the claim of Luke that Scarlett is a knave and Michael is a knave.", "Assume Scarlett is a knave. No contradiction is found in their false claim that If Michael is a knave then Jackson is a knave.", "Jackson cannot be a knight, because this would contradict the claim of Matthew that Luke is a knave or Jackson is a knave.", "Jackson cannot be a knave, because this would contradict the false claim of Scarlett that If Michael is a knave then Jackson is a knave.", "We have exhausted all possibilities for Jackson and Scarlett, so let us go back and reconsider Luke.", "Assume Luke is a knave. No contradiction is found in their false claim that Scarlett is a knave and Michael is a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that If Michael is a knave then Jackson is a knave.", "Jackson cannot be a knight, because this would contradict the claim of Scarlett that If Michael is a knave then Jackson is a knave.", "Assume Jackson is a knave. No contradiction is found in their false claim that If Aria is a knight then Aria is a knave.", "Aria cannot be a knight, because this would contradict the claim of their own that Matthew is a knave and Aria is a knight.", "Aria cannot be a knave, because this would contradict the false claim of Jackson that If Aria is a knight then Aria is a knave.", "We have exhausted all possibilities for Aria and Jackson, so let us go back and reconsider Scarlett.", "Scarlett cannot be a knave, because this would contradict the false claim of Luke that Scarlett is a knave and Michael is a knave.", "We have exhausted all possibilities for Scarlett and Luke, so let us go back and reconsider Matthew.", "Assume Matthew is a knave. No contradiction is found in their false claim that Luke is a knave or Jackson is a knave.", "Assume Luke is a knight. No contradiction is found in their claim that Scarlett is a knave and Michael is a knave.", "Scarlett cannot be a knight, because this would contradict the claim of Luke that Scarlett is a knave and Michael is a knave.", "Assume Scarlett is a knave. No contradiction is found in their false claim that If Michael is a knave then Jackson is a knave.", "Assume Jackson is a knight. No contradiction is found in their claim that If Aria is a knight then Aria is a knave.", "Aria cannot be a knight, because this would contradict the claim of Jackson that If Aria is a knight then Aria is a knave.", "Assume Aria is a knave. No contradiction is found in their false claim that Matthew is a knave and Aria is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that If Aria is a knight then Jackson is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 0), ('lying', 5)), ('->', ('lying', 0), ('lying', 6)), ('and', ('lying', 5), ('telling-truth', 2)), ('and', ('lying', 1), ('lying', 0)), ('->', ('telling-truth', 2), ('lying', 6)), ('or', ('lying', 3), ('lying', 6)), ('->', ('telling-truth', 2), ('lying', 2)))", "index": 354}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Jack, Chloe, Jackson, Lily, James, Owen, and Michael. Jack commented, \"James is a knight and Michael is a knight\". Chloe told you that Jackson is a knave if and only if Jackson is a knight. According to Jackson, \"Chloe is a knave and Michael is a knight\". \"Owen is a knight if and only if Lily is a knight,\" Lily claimed. James said that Lily is a knight. Owen remarked, \"James is a knight or Lily is a knight\". \"James is a knight,\" Michael mentioned. So who is a knight and who is a knave?", "names": ["Jack", "Chloe", "Jackson", "Lily", "James", "Owen", "Michael"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, true, true, true], "solution_text": "Jack is a knight, Chloe is a knave, Jackson is a knight, Lily is a knight, James is a knight, Owen is a knight, and Michael is a knight.", "solution_text_format": "(1) Jack is a knight\n(2) Chloe is a knave\n(3) Jackson is a knight\n(4) Lily is a knight\n(5) James is a knight\n(6) Owen is a knight\n(7) Michael is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jack is a knight. No contradiction is found in their claim that James is a knight and Michael is a knight.", "Assume James is a knight. No contradiction is found in their claim that Lily is a knight.", "Assume Lily is a knight. No contradiction is found in their claim that Owen is a knight if and only if Lily is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that James is a knight or Lily is a knight.", "Assume Michael is a knight. No contradiction is found in their claim that James is a knight.", "Chloe cannot be a knight, because this would contradict the claim of their own that Jackson is a knave if and only if Jackson is a knight.", "Assume Chloe is a knave. No contradiction is found in their false claim that Jackson is a knave if and only if Jackson is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that Chloe is a knave and Michael is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 4), ('telling-truth', 6)), ('<=>', ('lying', 2), ('telling-truth', 2)), ('and', ('lying', 1), ('telling-truth', 6)), ('<=>', ('telling-truth', 5), ('telling-truth', 3)), ('telling-truth', 3), ('or', ('telling-truth', 4), ('telling-truth', 3)), ('telling-truth', 4))", "index": 355}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Grace, Jack, Henry, Abigail, Avery, Sophia, and Zoey. According to Grace, \"Avery is a knight\". Jack said, \"Henry is a knight.\" Henry remarked, \"Abigail is a knight or Grace is a knave\". According to Abigail, \"Sophia is a knight\". \"Sophia is a knave if and only if Grace is a knight,\" Avery claimed. \"Jack is a knight and Avery is a knave,\" Sophia claimed. In Zoey's words: \"Abigail is not a knave\". So who is a knight and who is a knave?", "names": ["Grace", "Jack", "Henry", "Abigail", "Avery", "Sophia", "Zoey"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false, true, false, false], "solution_text": "Grace is a knight, Jack is a knave, Henry is a knave, Abigail is a knave, Avery is a knight, Sophia is a knave, and Zoey is a knave.", "solution_text_format": "(1) Grace is a knight\n(2) Jack is a knave\n(3) Henry is a knave\n(4) Abigail is a knave\n(5) Avery is a knight\n(6) Sophia is a knave\n(7) Zoey is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Grace is a knight. No contradiction is found in their claim that Avery is a knight.", "Assume Avery is a knight. No contradiction is found in their claim that Sophia is a knave if and only if Grace is a knight.", "Sophia cannot be a knight, because this would contradict the claim of Avery that Sophia is a knave if and only if Grace is a knight.", "Assume Sophia is a knave. No contradiction is found in their false claim that Jack is a knight and Avery is a knave.", "Assume Jack is a knight. No contradiction is found in their claim that Henry is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that Abigail is a knight or Grace is a knave.", "Abigail cannot be a knight, because this would contradict the claim of their own that Sophia is a knight.", "Abigail cannot be a knave, because this would contradict the claim of Henry that Abigail is a knight or Grace is a knave.", "We have exhausted all possibilities for Abigail, so let us go back and reconsider Henry.", "Henry cannot be a knave, because this would contradict the claim of Jack that Henry is a knight.", "We have exhausted all possibilities for Henry, so let us go back and reconsider Jack.", "Assume Jack is a knave. No contradiction is found in their false claim that Henry is a knight.", "Henry cannot be a knight, because this would contradict the false claim of Jack that Henry is a knight.", "Assume Henry is a knave. No contradiction is found in their false claim that Abigail is a knight or Grace is a knave.", "Abigail cannot be a knight, because this would contradict the false claim of Henry that Abigail is a knight or Grace is a knave.", "Assume Abigail is a knave. No contradiction is found in their false claim that Sophia is a knight.", "Zoey cannot be a knight, because this would contradict the claim of their own that Abigail is not a knave.", "Assume Zoey is a knave. No contradiction is found in their false claim that Abigail is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 4), ('telling-truth', 2), ('or', ('telling-truth', 3), ('lying', 0)), ('telling-truth', 5), ('<=>', ('lying', 5), ('telling-truth', 0)), ('and', ('telling-truth', 1), ('lying', 4)), ('not', ('lying', 3)))", "index": 356}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Zoey, Matthew, Riley, Samuel, Lily, Owen, and Mason. Zoey said that If Samuel is a knave then Mason is a knight. \"Riley is not a knight,\" Matthew claimed. Riley was heard saying, \"Owen is a knave or Mason is a knave\". Samuel was heard saying, \"Matthew is not a knight\". Lily was heard saying, \"Matthew is not a knave\". As Owen put it, \"Samuel is a knave\". Mason stated, \"Riley is a knight if and only if Lily is a knight\". So who is a knight and who is a knave?", "names": ["Zoey", "Matthew", "Riley", "Samuel", "Lily", "Owen", "Mason"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, false, false, false], "solution_text": "Zoey is a knight, Matthew is a knave, Riley is a knight, Samuel is a knight, Lily is a knave, Owen is a knave, and Mason is a knave.", "solution_text_format": "(1) Zoey is a knight\n(2) Matthew is a knave\n(3) Riley is a knight\n(4) Samuel is a knight\n(5) Lily is a knave\n(6) Owen is a knave\n(7) Mason is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Zoey is a knight. No contradiction is found in their claim that If Samuel is a knave then Mason is a knight.", "Assume Samuel is a knight. No contradiction is found in their claim that Matthew is not a knight.", "Matthew cannot be a knight, because this would contradict the claim of Samuel that Matthew is not a knight.", "Assume Matthew is a knave. No contradiction is found in their false claim that Riley is not a knight.", "Assume Riley is a knight. No contradiction is found in their claim that Owen is a knave or Mason is a knave.", "Owen cannot be a knight, because this would contradict the claim of their own that Samuel is a knave.", "Assume Owen is a knave. No contradiction is found in their false claim that Samuel is a knave.", "Assume Mason is a knight. No contradiction is found in their claim that Riley is a knight if and only if Lily is a knight.", "Lily cannot be a knight, because this would contradict the claim of their own that Matthew is not a knave.", "Lily cannot be a knave, because this would contradict the claim of Mason that Riley is a knight if and only if Lily is a knight.", "We have exhausted all possibilities for Lily, so let us go back and reconsider Mason.", "Assume Mason is a knave. No contradiction is found in their false claim that Riley is a knight if and only if Lily is a knight.", "Lily cannot be a knight, because this would contradict the claim of their own that Matthew is not a knave.", "Assume Lily is a knave. No contradiction is found in their false claim that Matthew is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 3), ('telling-truth', 6)), ('not', ('telling-truth', 2)), ('or', ('lying', 5), ('lying', 6)), ('not', ('telling-truth', 1)), ('not', ('lying', 1)), ('lying', 3), ('<=>', ('telling-truth', 2), ('telling-truth', 4)))", "index": 357}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Benjamin, Aurora, Emily, Penelope, Liam, Samuel, and Sofia. According to Benjamin, \"Emily is a knave\". Aurora told you that If Samuel is a knight then Sofia is a knave. Emily expressed that Penelope is a knave. Penelope commented, \"Sofia is a knave and Liam is a knight\". Liam expressed that Aurora is a knight or Sofia is a knave. \"Sofia is a knave or Sofia is a knight\" - Samuel. According to Sofia, \"Emily is a knave and Sofia is a knight\". So who is a knight and who is a knave?", "names": ["Benjamin", "Aurora", "Emily", "Penelope", "Liam", "Samuel", "Sofia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true, true, true, false], "solution_text": "Benjamin is a knight, Aurora is a knight, Emily is a knave, Penelope is a knight, Liam is a knight, Samuel is a knight, and Sofia is a knave.", "solution_text_format": "(1) Benjamin is a knight\n(2) Aurora is a knight\n(3) Emily is a knave\n(4) Penelope is a knight\n(5) Liam is a knight\n(6) Samuel is a knight\n(7) Sofia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Benjamin is a knight. No contradiction is found in their claim that Emily is a knave.", "Emily cannot be a knight, because this would contradict the claim of Benjamin that Emily is a knave.", "Assume Emily is a knave. No contradiction is found in their false claim that Penelope is a knave.", "Assume Penelope is a knight. No contradiction is found in their claim that Sofia is a knave and Liam is a knight.", "Sofia cannot be a knight, because this would contradict the claim of Penelope that Sofia is a knave and Liam is a knight.", "Assume Sofia is a knave. No contradiction is found in their false claim that Emily is a knave and Sofia is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that Aurora is a knight or Sofia is a knave.", "Assume Aurora is a knight. No contradiction is found in their claim that If Samuel is a knight then Sofia is a knave.", "Assume Samuel is a knight. No contradiction is found in their claim that Sofia is a knave or Sofia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 2), ('->', ('telling-truth', 5), ('lying', 6)), ('lying', 3), ('and', ('lying', 6), ('telling-truth', 4)), ('or', ('telling-truth', 1), ('lying', 6)), ('or', ('lying', 6), ('telling-truth', 6)), ('and', ('lying', 2), ('telling-truth', 6)))", "index": 358}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Grace, Penelope, Samuel, Zoey, Liam, Emma, and Elizabeth. Grace told you that Elizabeth is a knave and Elizabeth is a knight. Penelope noted, \"Liam is not a knave\". Samuel stated, \"Liam is a knight and Samuel is a knight\". As Zoey put it, \"Emma is not a knight\". As Liam put it, \"Zoey is a knave if and only if Liam is a knight\". According to Emma, \"If Elizabeth is a knight then Liam is a knave\". Elizabeth said, \"Penelope is a knight.\" So who is a knight and who is a knave?", "names": ["Grace", "Penelope", "Samuel", "Zoey", "Liam", "Emma", "Elizabeth"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, false, false, true, false], "solution_text": "Grace is a knave, Penelope is a knave, Samuel is a knave, Zoey is a knave, Liam is a knave, Emma is a knight, and Elizabeth is a knave.", "solution_text_format": "(1) Grace is a knave\n(2) Penelope is a knave\n(3) Samuel is a knave\n(4) Zoey is a knave\n(5) Liam is a knave\n(6) Emma is a knight\n(7) Elizabeth is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Grace cannot be a knight, because this would contradict the claim of their own that Elizabeth is a knave and Elizabeth is a knight.", "Assume Grace is a knave. No contradiction is found in their false claim that Elizabeth is a knave and Elizabeth is a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Penelope is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that Liam is not a knave.", "Assume Liam is a knight. No contradiction is found in their claim that Zoey is a knave if and only if Liam is a knight.", "Zoey cannot be a knight, because this would contradict the claim of Liam that Zoey is a knave if and only if Liam is a knight.", "Assume Zoey is a knave. No contradiction is found in their false claim that Emma is not a knight.", "Emma cannot be a knight, because this would contradict the claim of their own that If Elizabeth is a knight then Liam is a knave.", "Emma cannot be a knave, because this would contradict the false claim of Zoey that Emma is not a knight.", "We have exhausted all possibilities for Emma and Zoey, so let us go back and reconsider Liam.", "Liam cannot be a knave, because this would contradict the claim of Penelope that Liam is not a knave.", "We have exhausted all possibilities for Liam, so let us go back and reconsider Penelope.", "Penelope cannot be a knave, because this would contradict the claim of Elizabeth that Penelope is a knight.", "We have exhausted all possibilities for Penelope, so let us go back and reconsider Elizabeth.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Penelope is a knight.", "Penelope cannot be a knight, because this would contradict the false claim of Elizabeth that Penelope is a knight.", "Assume Penelope is a knave. No contradiction is found in their false claim that Liam is not a knave.", "Liam cannot be a knight, because this would contradict the false claim of Penelope that Liam is not a knave.", "Assume Liam is a knave. No contradiction is found in their false claim that Zoey is a knave if and only if Liam is a knight.", "Zoey cannot be a knight, because this would contradict the false claim of Liam that Zoey is a knave if and only if Liam is a knight.", "Assume Zoey is a knave. No contradiction is found in their false claim that Emma is not a knight.", "Assume Emma is a knight. No contradiction is found in their claim that If Elizabeth is a knight then Liam is a knave.", "Samuel cannot be a knight, because this would contradict the claim of their own that Liam is a knight and Samuel is a knight.", "Assume Samuel is a knave. No contradiction is found in their false claim that Liam is a knight and Samuel is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 6), ('telling-truth', 6)), ('not', ('lying', 4)), ('and', ('telling-truth', 4), ('telling-truth', 2)), ('not', ('telling-truth', 5)), ('<=>', ('lying', 3), ('telling-truth', 4)), ('->', ('telling-truth', 6), ('lying', 4)), ('telling-truth', 1))", "index": 359}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Ethan, Samuel, Oliver, Grace, Elizabeth, Sebastian, and Victoria. \"If Grace is a knight then Elizabeth is a knave,\" Ethan declared. Samuel remarked, \"Sebastian is not a knave\". \"Ethan is not a knave,\" Oliver mentioned. Grace told you that Victoria is a knight. Elizabeth said that Sebastian is not a knave. Sebastian asserted: \"If Elizabeth is a knave then Oliver is a knight\". According to Victoria, \"Samuel is a knave and Oliver is a knight\". So who is a knight and who is a knave?", "names": ["Ethan", "Samuel", "Oliver", "Grace", "Elizabeth", "Sebastian", "Victoria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false, true, true, false], "solution_text": "Ethan is a knight, Samuel is a knight, Oliver is a knight, Grace is a knave, Elizabeth is a knight, Sebastian is a knight, and Victoria is a knave.", "solution_text_format": "(1) Ethan is a knight\n(2) Samuel is a knight\n(3) Oliver is a knight\n(4) Grace is a knave\n(5) Elizabeth is a knight\n(6) Sebastian is a knight\n(7) Victoria is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ethan is a knight. No contradiction is found in their claim that If Grace is a knight then Elizabeth is a knave.", "Assume Grace is a knight. No contradiction is found in their claim that Victoria is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that Samuel is a knave and Oliver is a knight.", "Samuel cannot be a knight, because this would contradict the claim of Victoria that Samuel is a knave and Oliver is a knight.", "Assume Samuel is a knave. No contradiction is found in their false claim that Sebastian is not a knave.", "Sebastian cannot be a knight, because this would contradict the false claim of Samuel that Sebastian is not a knave.", "Assume Sebastian is a knave. No contradiction is found in their false claim that If Elizabeth is a knave then Oliver is a knight.", "Elizabeth cannot be a knight, because this would contradict the claim of Ethan that If Grace is a knight then Elizabeth is a knave.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Sebastian is not a knave.", "Oliver cannot be a knight, because this would contradict the false claim of Sebastian that If Elizabeth is a knave then Oliver is a knight.", "Oliver cannot be a knave, because this would contradict the false claim of their own that Ethan is not a knave.", "We have exhausted all possibilities for Oliver, Elizabeth, Sebastian, and Samuel, so let us go back and reconsider Victoria.", "Victoria cannot be a knave, because this would contradict the claim of Grace that Victoria is a knight.", "We have exhausted all possibilities for Victoria, so let us go back and reconsider Grace.", "Assume Grace is a knave. No contradiction is found in their false claim that Victoria is a knight.", "Victoria cannot be a knight, because this would contradict the false claim of Grace that Victoria is a knight.", "Assume Victoria is a knave. No contradiction is found in their false claim that Samuel is a knave and Oliver is a knight.", "Assume Samuel is a knight. No contradiction is found in their claim that Sebastian is not a knave.", "Assume Sebastian is a knight. No contradiction is found in their claim that If Elizabeth is a knave then Oliver is a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Sebastian is not a knave.", "Assume Oliver is a knight. No contradiction is found in their claim that Ethan is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 3), ('lying', 4)), ('not', ('lying', 5)), ('not', ('lying', 0)), ('telling-truth', 6), ('not', ('lying', 5)), ('->', ('lying', 4), ('telling-truth', 2)), ('and', ('lying', 1), ('telling-truth', 2)))", "index": 360}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Aurora, Michael, Victoria, Jack, Lucas, Samuel, and Chloe. \"If Chloe is a knave then Chloe is a knight\" - Aurora. Michael told you that Samuel is not a knight. Victoria commented, \"Lucas is a knight or Samuel is a knight\". Jack said, \"Aurora is a knight if and only if Lucas is a knight.\" Lucas said that Aurora is a knave if and only if Michael is a knight. In a statement by Samuel: \"Aurora is a knight and Chloe is a knight\". In Chloe's words: \"Victoria is a knight or Jack is a knight\". So who is a knight and who is a knave?", "names": ["Aurora", "Michael", "Victoria", "Jack", "Lucas", "Samuel", "Chloe"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, true, true, true], "solution_text": "Aurora is a knight, Michael is a knave, Victoria is a knight, Jack is a knight, Lucas is a knight, Samuel is a knight, and Chloe is a knight.", "solution_text_format": "(1) Aurora is a knight\n(2) Michael is a knave\n(3) Victoria is a knight\n(4) Jack is a knight\n(5) Lucas is a knight\n(6) Samuel is a knight\n(7) Chloe is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aurora is a knight. No contradiction is found in their claim that If Chloe is a knave then Chloe is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that Victoria is a knight or Jack is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that Lucas is a knight or Samuel is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that Aurora is a knave if and only if Michael is a knight.", "Michael cannot be a knight, because this would contradict the claim of Lucas that Aurora is a knave if and only if Michael is a knight.", "Assume Michael is a knave. No contradiction is found in their false claim that Samuel is not a knight.", "Assume Samuel is a knight. No contradiction is found in their claim that Aurora is a knight and Chloe is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that Aurora is a knight if and only if Lucas is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 6), ('telling-truth', 6)), ('not', ('telling-truth', 5)), ('or', ('telling-truth', 4), ('telling-truth', 5)), ('<=>', ('telling-truth', 0), ('telling-truth', 4)), ('<=>', ('lying', 0), ('telling-truth', 1)), ('and', ('telling-truth', 0), ('telling-truth', 6)), ('or', ('telling-truth', 2), ('telling-truth', 3)))", "index": 361}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Luke, Lily, Grace, Sophia, Zoey, Aurora, and Riley. As Luke put it, \"If Zoey is a knave then Grace is a knight\". Lily told you that Zoey is not a knave. Grace asserted: \"Riley is a knave and Zoey is a knight\". Sophia asserted: \"If Lily is a knave then Aurora is a knave\". In Zoey's words: \"Lily is a knave if and only if Zoey is a knight\". Aurora stated, \"Lily is a knight and Riley is a knave\". Riley commented, \"Lily is a knave if and only if Aurora is a knave\". So who is a knight and who is a knave?", "names": ["Luke", "Lily", "Grace", "Sophia", "Zoey", "Aurora", "Riley"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true, false, false, true], "solution_text": "Luke is a knave, Lily is a knave, Grace is a knave, Sophia is a knight, Zoey is a knave, Aurora is a knave, and Riley is a knight.", "solution_text_format": "(1) Luke is a knave\n(2) Lily is a knave\n(3) Grace is a knave\n(4) Sophia is a knight\n(5) Zoey is a knave\n(6) Aurora is a knave\n(7) Riley is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Luke is a knight. No contradiction is found in their claim that If Zoey is a knave then Grace is a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that Lily is a knave if and only if Zoey is a knight.", "Lily cannot be a knight, because this would contradict the claim of Zoey that Lily is a knave if and only if Zoey is a knight.", "Lily cannot be a knave, because this would contradict the false claim of their own that Zoey is not a knave.", "We have exhausted all possibilities for Lily, so let us go back and reconsider Zoey.", "Assume Zoey is a knave. No contradiction is found in their false claim that Lily is a knave if and only if Zoey is a knight.", "Lily cannot be a knight, because this would contradict the claim of their own that Zoey is not a knave.", "Assume Lily is a knave. No contradiction is found in their false claim that Zoey is not a knave.", "Grace cannot be a knight, because this would contradict the claim of their own that Riley is a knave and Zoey is a knight.", "Grace cannot be a knave, because this would contradict the claim of Luke that If Zoey is a knave then Grace is a knight.", "We have exhausted all possibilities for Grace, Lily, and Zoey, so let us go back and reconsider Luke.", "Assume Luke is a knave. No contradiction is found in their false claim that If Zoey is a knave then Grace is a knight.", "Zoey cannot be a knight, because this would contradict the false claim of Luke that If Zoey is a knave then Grace is a knight.", "Assume Zoey is a knave. No contradiction is found in their false claim that Lily is a knave if and only if Zoey is a knight.", "Lily cannot be a knight, because this would contradict the claim of their own that Zoey is not a knave.", "Assume Lily is a knave. No contradiction is found in their false claim that Zoey is not a knave.", "Grace cannot be a knight, because this would contradict the false claim of Luke that If Zoey is a knave then Grace is a knight.", "Assume Grace is a knave. No contradiction is found in their false claim that Riley is a knave and Zoey is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that Lily is a knave if and only if Aurora is a knave.", "Aurora cannot be a knight, because this would contradict the claim of their own that Lily is a knight and Riley is a knave.", "Assume Aurora is a knave. No contradiction is found in their false claim that Lily is a knight and Riley is a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that If Lily is a knave then Aurora is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 4), ('telling-truth', 2)), ('not', ('lying', 4)), ('and', ('lying', 6), ('telling-truth', 4)), ('->', ('lying', 1), ('lying', 5)), ('<=>', ('lying', 1), ('telling-truth', 4)), ('and', ('telling-truth', 1), ('lying', 6)), ('<=>', ('lying', 1), ('lying', 5)))", "index": 362}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Jacob, Aurora, Emily, Chloe, Mia, Amelia, and Alexander. Jacob noted, \"If Emily is a knight then Alexander is a knight\". Aurora noted, \"Chloe is a knight and Mia is a knight\". \"Jacob is a knave,\" Emily claimed. In Chloe's words: \"Aurora is a knave and Jacob is a knave\". Mia said that Amelia is a knight or Alexander is a knave. According to Amelia, \"Mia is a knight if and only if Aurora is a knight\". Alexander noted, \"Emily is a knight and Jacob is a knave\". So who is a knight and who is a knave?", "names": ["Jacob", "Aurora", "Emily", "Chloe", "Mia", "Amelia", "Alexander"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false, true, false, false], "solution_text": "Jacob is a knight, Aurora is a knave, Emily is a knave, Chloe is a knave, Mia is a knight, Amelia is a knave, and Alexander is a knave.", "solution_text_format": "(1) Jacob is a knight\n(2) Aurora is a knave\n(3) Emily is a knave\n(4) Chloe is a knave\n(5) Mia is a knight\n(6) Amelia is a knave\n(7) Alexander is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jacob is a knight. No contradiction is found in their claim that If Emily is a knight then Alexander is a knight.", "Emily cannot be a knight, because this would contradict the claim of their own that Jacob is a knave.", "Assume Emily is a knave. No contradiction is found in their false claim that Jacob is a knave.", "Alexander cannot be a knight, because this would contradict the claim of their own that Emily is a knight and Jacob is a knave.", "Assume Alexander is a knave. No contradiction is found in their false claim that Emily is a knight and Jacob is a knave.", "Assume Aurora is a knight. No contradiction is found in their claim that Chloe is a knight and Mia is a knight.", "Chloe cannot be a knight, because this would contradict the claim of their own that Aurora is a knave and Jacob is a knave.", "Chloe cannot be a knave, because this would contradict the claim of Aurora that Chloe is a knight and Mia is a knight.", "We have exhausted all possibilities for Chloe, so let us go back and reconsider Aurora.", "Assume Aurora is a knave. No contradiction is found in their false claim that Chloe is a knight and Mia is a knight.", "Chloe cannot be a knight, because this would contradict the claim of their own that Aurora is a knave and Jacob is a knave.", "Assume Chloe is a knave. No contradiction is found in their false claim that Aurora is a knave and Jacob is a knave.", "Assume Mia is a knight. No contradiction is found in their claim that Amelia is a knight or Alexander is a knave.", "Amelia cannot be a knight, because this would contradict the claim of their own that Mia is a knight if and only if Aurora is a knight.", "Assume Amelia is a knave. No contradiction is found in their false claim that Mia is a knight if and only if Aurora is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 2), ('telling-truth', 6)), ('and', ('telling-truth', 3), ('telling-truth', 4)), ('lying', 0), ('and', ('lying', 1), ('lying', 0)), ('or', ('telling-truth', 5), ('lying', 6)), ('<=>', ('telling-truth', 4), ('telling-truth', 1)), ('and', ('telling-truth', 2), ('lying', 0)))", "index": 363}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Isabella, Matthew, Amelia, Aria, Emily, Grace, and Lucas. Isabella asserted: \"If Lucas is a knight then Emily is a knave\". In Matthew's words: \"Aria is a knight and Isabella is a knave\". Amelia expressed that Grace is a knave or Emily is a knight. Aria said, \"Matthew is a knight if and only if Isabella is a knight.\" Emily expressed that Lucas is a knight and Grace is a knave. In Grace's words: \"Aria is a knight or Emily is a knave\". Lucas was heard saying, \"Aria is a knave or Amelia is a knave\". So who is a knight and who is a knave?", "names": ["Isabella", "Matthew", "Amelia", "Aria", "Emily", "Grace", "Lucas"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false, false, true, true], "solution_text": "Isabella is a knight, Matthew is a knave, Amelia is a knave, Aria is a knave, Emily is a knave, Grace is a knight, and Lucas is a knight.", "solution_text_format": "(1) Isabella is a knight\n(2) Matthew is a knave\n(3) Amelia is a knave\n(4) Aria is a knave\n(5) Emily is a knave\n(6) Grace is a knight\n(7) Lucas is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Isabella is a knight. No contradiction is found in their claim that If Lucas is a knight then Emily is a knave.", "Assume Lucas is a knight. No contradiction is found in their claim that Aria is a knave or Amelia is a knave.", "Assume Aria is a knight. No contradiction is found in their claim that Matthew is a knight if and only if Isabella is a knight.", "Matthew cannot be a knight, because this would contradict the claim of their own that Aria is a knight and Isabella is a knave.", "Matthew cannot be a knave, because this would contradict the claim of Aria that Matthew is a knight if and only if Isabella is a knight.", "We have exhausted all possibilities for Matthew, so let us go back and reconsider Aria.", "Assume Aria is a knave. No contradiction is found in their false claim that Matthew is a knight if and only if Isabella is a knight.", "Matthew cannot be a knight, because this would contradict the claim of their own that Aria is a knight and Isabella is a knave.", "Assume Matthew is a knave. No contradiction is found in their false claim that Aria is a knight and Isabella is a knave.", "Assume Amelia is a knight. No contradiction is found in their claim that Grace is a knave or Emily is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that Aria is a knight or Emily is a knave.", "Emily cannot be a knight, because this would contradict the claim of Isabella that If Lucas is a knight then Emily is a knave.", "Emily cannot be a knave, because this would contradict the claim of Amelia that Grace is a knave or Emily is a knight.", "We have exhausted all possibilities for Emily, so let us go back and reconsider Grace.", "Assume Grace is a knave. No contradiction is found in their false claim that Aria is a knight or Emily is a knave.", "Emily cannot be a knight, because this would contradict the claim of Isabella that If Lucas is a knight then Emily is a knave.", "Emily cannot be a knave, because this would contradict the false claim of their own that Lucas is a knight and Grace is a knave.", "We have exhausted all possibilities for Emily and Grace, so let us go back and reconsider Amelia.", "Assume Amelia is a knave. No contradiction is found in their false claim that Grace is a knave or Emily is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that Aria is a knight or Emily is a knave.", "Emily cannot be a knight, because this would contradict the claim of Isabella that If Lucas is a knight then Emily is a knave.", "Assume Emily is a knave. No contradiction is found in their false claim that Lucas is a knight and Grace is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 6), ('lying', 4)), ('and', ('telling-truth', 3), ('lying', 0)), ('or', ('lying', 5), ('telling-truth', 4)), ('<=>', ('telling-truth', 1), ('telling-truth', 0)), ('and', ('telling-truth', 6), ('lying', 5)), ('or', ('telling-truth', 3), ('lying', 4)), ('or', ('lying', 3), ('lying', 2)))", "index": 364}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Abigail, Sophia, Riley, Emily, Zoey, Matthew, and Amelia. \"Matthew is not a knight,\" Abigail mentioned. Sophia asserted: \"Sophia is a knight and Amelia is a knave\". Riley noted, \"Emily is a knave or Abigail is a knight\". Emily remarked, \"Zoey is a knave\". Zoey told you that Matthew is a knight and Amelia is a knave. Matthew said that Emily is a knight. \"Sophia is a knave or Amelia is a knight,\" Amelia declared. So who is a knight and who is a knave?", "names": ["Abigail", "Sophia", "Riley", "Emily", "Zoey", "Matthew", "Amelia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true, false, true, true], "solution_text": "Abigail is a knave, Sophia is a knave, Riley is a knave, Emily is a knight, Zoey is a knave, Matthew is a knight, and Amelia is a knight.", "solution_text_format": "(1) Abigail is a knave\n(2) Sophia is a knave\n(3) Riley is a knave\n(4) Emily is a knight\n(5) Zoey is a knave\n(6) Matthew is a knight\n(7) Amelia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Abigail is a knight. No contradiction is found in their claim that Matthew is not a knight.", "Matthew cannot be a knight, because this would contradict the claim of Abigail that Matthew is not a knight.", "Assume Matthew is a knave. No contradiction is found in their false claim that Emily is a knight.", "Emily cannot be a knight, because this would contradict the false claim of Matthew that Emily is a knight.", "Assume Emily is a knave. No contradiction is found in their false claim that Zoey is a knave.", "Zoey cannot be a knight, because this would contradict the claim of their own that Matthew is a knight and Amelia is a knave.", "Zoey cannot be a knave, because this would contradict the false claim of Emily that Zoey is a knave.", "We have exhausted all possibilities for Zoey, Emily, and Matthew, so let us go back and reconsider Abigail.", "Assume Abigail is a knave. No contradiction is found in their false claim that Matthew is not a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that Emily is a knight.", "Assume Emily is a knight. No contradiction is found in their claim that Zoey is a knave.", "Zoey cannot be a knight, because this would contradict the claim of Emily that Zoey is a knave.", "Assume Zoey is a knave. No contradiction is found in their false claim that Matthew is a knight and Amelia is a knave.", "Assume Amelia is a knight. No contradiction is found in their claim that Sophia is a knave or Amelia is a knight.", "Sophia cannot be a knight, because this would contradict the claim of their own that Sophia is a knight and Amelia is a knave.", "Assume Sophia is a knave. No contradiction is found in their false claim that Sophia is a knight and Amelia is a knave.", "Riley cannot be a knight, because this would contradict the claim of their own that Emily is a knave or Abigail is a knight.", "Assume Riley is a knave. No contradiction is found in their false claim that Emily is a knave or Abigail is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 5)), ('and', ('telling-truth', 1), ('lying', 6)), ('or', ('lying', 3), ('telling-truth', 0)), ('lying', 4), ('and', ('telling-truth', 5), ('lying', 6)), ('telling-truth', 3), ('or', ('lying', 1), ('telling-truth', 6)))", "index": 365}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: David, Sebastian, Avery, Evelyn, Olivia, Benjamin, and Lucas. David said that Lucas is not a knave. As Sebastian put it, \"Olivia is not a knight\". In a statement by Avery: \"Olivia is not a knave\". Evelyn remarked, \"Sebastian is not a knave\". Olivia said, \"Evelyn is a knight or Lucas is a knight.\" In Benjamin's words: \"If Sebastian is a knight then David is a knight\". As Lucas put it, \"If Benjamin is a knave then David is a knave\". So who is a knight and who is a knave?", "names": ["David", "Sebastian", "Avery", "Evelyn", "Olivia", "Benjamin", "Lucas"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false, true, true, true], "solution_text": "David is a knight, Sebastian is a knave, Avery is a knight, Evelyn is a knave, Olivia is a knight, Benjamin is a knight, and Lucas is a knight.", "solution_text_format": "(1) David is a knight\n(2) Sebastian is a knave\n(3) Avery is a knight\n(4) Evelyn is a knave\n(5) Olivia is a knight\n(6) Benjamin is a knight\n(7) Lucas is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume David is a knight. No contradiction is found in their claim that Lucas is not a knave.", "Assume Lucas is a knight. No contradiction is found in their claim that If Benjamin is a knave then David is a knave.", "Assume Benjamin is a knight. No contradiction is found in their claim that If Sebastian is a knight then David is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Olivia is not a knight.", "Olivia cannot be a knight, because this would contradict the claim of Sebastian that Olivia is not a knight.", "Olivia cannot be a knave, because this would contradict the false claim of their own that Evelyn is a knight or Lucas is a knight.", "We have exhausted all possibilities for Olivia, so let us go back and reconsider Sebastian.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Olivia is not a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that Evelyn is a knight or Lucas is a knight.", "Evelyn cannot be a knight, because this would contradict the claim of their own that Sebastian is not a knave.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Sebastian is not a knave.", "Assume Avery is a knight. No contradiction is found in their claim that Olivia is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 6)), ('not', ('telling-truth', 4)), ('not', ('lying', 4)), ('not', ('lying', 1)), ('or', ('telling-truth', 3), ('telling-truth', 6)), ('->', ('telling-truth', 1), ('telling-truth', 0)), ('->', ('lying', 5), ('lying', 0)))", "index": 366}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Samuel, Owen, Charlotte, Mia, Aiden, Emma, and Daniel. Samuel told you that Owen is not a knave. In Owen's words: \"Mia is a knight if and only if Charlotte is a knight\". \"Owen is a knave,\" Charlotte declared. Mia asserted: \"Samuel is not a knave\". \"Owen is a knave and Mia is a knave,\" Aiden claimed. Emma remarked, \"Owen is a knave if and only if Aiden is a knave\". According to Daniel, \"Mia is a knave if and only if Aiden is a knight\". So who is a knight and who is a knave?", "names": ["Samuel", "Owen", "Charlotte", "Mia", "Aiden", "Emma", "Daniel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false, true, false, true], "solution_text": "Samuel is a knave, Owen is a knave, Charlotte is a knight, Mia is a knave, Aiden is a knight, Emma is a knave, and Daniel is a knight.", "solution_text_format": "(1) Samuel is a knave\n(2) Owen is a knave\n(3) Charlotte is a knight\n(4) Mia is a knave\n(5) Aiden is a knight\n(6) Emma is a knave\n(7) Daniel is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Samuel is a knight. No contradiction is found in their claim that Owen is not a knave.", "Assume Owen is a knight. No contradiction is found in their claim that Mia is a knight if and only if Charlotte is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that Samuel is not a knave.", "Charlotte cannot be a knight, because this would contradict the claim of their own that Owen is a knave.", "Charlotte cannot be a knave, because this would contradict the claim of Owen that Mia is a knight if and only if Charlotte is a knight.", "We have exhausted all possibilities for Charlotte, so let us go back and reconsider Mia.", "Mia cannot be a knave, because this would contradict the false claim of their own that Samuel is not a knave.", "We have exhausted all possibilities for Mia, so let us go back and reconsider Owen.", "Owen cannot be a knave, because this would contradict the claim of Samuel that Owen is not a knave.", "We have exhausted all possibilities for Owen, so let us go back and reconsider Samuel.", "Assume Samuel is a knave. No contradiction is found in their false claim that Owen is not a knave.", "Owen cannot be a knight, because this would contradict the false claim of Samuel that Owen is not a knave.", "Assume Owen is a knave. No contradiction is found in their false claim that Mia is a knight if and only if Charlotte is a knight.", "Mia cannot be a knight, because this would contradict the claim of their own that Samuel is not a knave.", "Assume Mia is a knave. No contradiction is found in their false claim that Samuel is not a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that Owen is a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that Owen is a knave and Mia is a knave.", "Emma cannot be a knight, because this would contradict the claim of their own that Owen is a knave if and only if Aiden is a knave.", "Assume Emma is a knave. No contradiction is found in their false claim that Owen is a knave if and only if Aiden is a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that Mia is a knave if and only if Aiden is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 1)), ('<=>', ('telling-truth', 3), ('telling-truth', 2)), ('lying', 1), ('not', ('lying', 0)), ('and', ('lying', 1), ('lying', 3)), ('<=>', ('lying', 1), ('lying', 4)), ('<=>', ('lying', 3), ('telling-truth', 4)))", "index": 367}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Riley, Sophia, Grace, Zoey, Luke, Penelope, and Evelyn. As Riley put it, \"Grace is a knight and Zoey is a knight\". \"If Luke is a knight then Penelope is a knight,\" Sophia claimed. \"If Zoey is a knave then Riley is a knight,\" Grace mentioned. According to Zoey, \"Evelyn is a knight\". As Luke put it, \"Zoey is a knave\". Penelope said that If Luke is a knave then Riley is a knight. Evelyn commented, \"If Zoey is a knight then Grace is a knight\". So who is a knight and who is a knave?", "names": ["Riley", "Sophia", "Grace", "Zoey", "Luke", "Penelope", "Evelyn"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, false, true, true], "solution_text": "Riley is a knight, Sophia is a knight, Grace is a knight, Zoey is a knight, Luke is a knave, Penelope is a knight, and Evelyn is a knight.", "solution_text_format": "(1) Riley is a knight\n(2) Sophia is a knight\n(3) Grace is a knight\n(4) Zoey is a knight\n(5) Luke is a knave\n(6) Penelope is a knight\n(7) Evelyn is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Riley is a knight. No contradiction is found in their claim that Grace is a knight and Zoey is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that If Zoey is a knave then Riley is a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that Evelyn is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that If Zoey is a knight then Grace is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that If Luke is a knight then Penelope is a knight.", "Luke cannot be a knight, because this would contradict the claim of their own that Zoey is a knave.", "Assume Luke is a knave. No contradiction is found in their false claim that Zoey is a knave.", "Assume Penelope is a knight. No contradiction is found in their claim that If Luke is a knave then Riley is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 2), ('telling-truth', 3)), ('->', ('telling-truth', 4), ('telling-truth', 5)), ('->', ('lying', 3), ('telling-truth', 0)), ('telling-truth', 6), ('lying', 3), ('->', ('lying', 4), ('telling-truth', 0)), ('->', ('telling-truth', 3), ('telling-truth', 2)))", "index": 368}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: David, Riley, Owen, Ava, Matthew, Aria, and Sofia. In David's words: \"Ava is a knave if and only if Sofia is a knave\". Riley said, \"Owen is not a knave.\" \"Aria is a knave,\" Owen declared. As Ava put it, \"Matthew is a knave\". Matthew expressed that Riley is a knave or Sofia is a knave. According to Aria, \"Owen is a knave\". Sofia asserted: \"David is a knight or Matthew is a knave\". So who is a knight and who is a knave?", "names": ["David", "Riley", "Owen", "Ava", "Matthew", "Aria", "Sofia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, false, false, true], "solution_text": "David is a knight, Riley is a knight, Owen is a knight, Ava is a knight, Matthew is a knave, Aria is a knave, and Sofia is a knight.", "solution_text_format": "(1) David is a knight\n(2) Riley is a knight\n(3) Owen is a knight\n(4) Ava is a knight\n(5) Matthew is a knave\n(6) Aria is a knave\n(7) Sofia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume David is a knight. No contradiction is found in their claim that Ava is a knave if and only if Sofia is a knave.", "Assume Ava is a knight. No contradiction is found in their claim that Matthew is a knave.", "Matthew cannot be a knight, because this would contradict the claim of Ava that Matthew is a knave.", "Assume Matthew is a knave. No contradiction is found in their false claim that Riley is a knave or Sofia is a knave.", "Assume Riley is a knight. No contradiction is found in their claim that Owen is not a knave.", "Assume Owen is a knight. No contradiction is found in their claim that Aria is a knave.", "Aria cannot be a knight, because this would contradict the claim of Owen that Aria is a knave.", "Assume Aria is a knave. No contradiction is found in their false claim that Owen is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that David is a knight or Matthew is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 3), ('lying', 6)), ('not', ('lying', 2)), ('lying', 5), ('lying', 4), ('or', ('lying', 1), ('lying', 6)), ('lying', 2), ('or', ('telling-truth', 0), ('lying', 4)))", "index": 369}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Emily, David, Aria, Avery, Aiden, Sofia, and Sophia. Emily was heard saying, \"Aria is a knight if and only if David is a knight\". David asserted: \"Aiden is not a knight\". Aria expressed that Aiden is a knave or Avery is a knight. In a statement by Avery: \"Aria is a knave or Aiden is a knight\". According to Aiden, \"Aria is a knave\". Sofia asserted: \"Sophia is a knight and Avery is a knight\". Sophia was heard saying, \"Aiden is a knight and Avery is a knave\". So who is a knight and who is a knave?", "names": ["Emily", "David", "Aria", "Avery", "Aiden", "Sofia", "Sophia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false, false, false, false], "solution_text": "Emily is a knight, David is a knight, Aria is a knight, Avery is a knave, Aiden is a knave, Sofia is a knave, and Sophia is a knave.", "solution_text_format": "(1) Emily is a knight\n(2) David is a knight\n(3) Aria is a knight\n(4) Avery is a knave\n(5) Aiden is a knave\n(6) Sofia is a knave\n(7) Sophia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Emily is a knight. No contradiction is found in their claim that Aria is a knight if and only if David is a knight.", "Assume Aria is a knight. No contradiction is found in their claim that Aiden is a knave or Avery is a knight.", "Aiden cannot be a knight, because this would contradict the claim of their own that Aria is a knave.", "Assume Aiden is a knave. No contradiction is found in their false claim that Aria is a knave.", "Avery cannot be a knight, because this would contradict the claim of their own that Aria is a knave or Aiden is a knight.", "Assume Avery is a knave. No contradiction is found in their false claim that Aria is a knave or Aiden is a knight.", "Assume David is a knight. No contradiction is found in their claim that Aiden is not a knight.", "Sofia cannot be a knight, because this would contradict the claim of their own that Sophia is a knight and Avery is a knight.", "Assume Sofia is a knave. No contradiction is found in their false claim that Sophia is a knight and Avery is a knight.", "Sophia cannot be a knight, because this would contradict the claim of their own that Aiden is a knight and Avery is a knave.", "Assume Sophia is a knave. No contradiction is found in their false claim that Aiden is a knight and Avery is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 2), ('telling-truth', 1)), ('not', ('telling-truth', 4)), ('or', ('lying', 4), ('telling-truth', 3)), ('or', ('lying', 2), ('telling-truth', 4)), ('lying', 2), ('and', ('telling-truth', 6), ('telling-truth', 3)), ('and', ('telling-truth', 4), ('lying', 3)))", "index": 370}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Penelope, Sofia, Henry, Owen, Victoria, Aurora, and Noah. Penelope said that Victoria is a knight or Henry is a knight. Sofia said that Henry is a knave. Henry said that Penelope is a knight if and only if Victoria is a knight. In Owen's words: \"If Penelope is a knight then Sofia is a knave\". Victoria said, \"Owen is not a knave.\" \"Henry is not a knave,\" Aurora declared. Noah remarked, \"Sofia is a knight or Henry is a knave\". So who is a knight and who is a knave?", "names": ["Penelope", "Sofia", "Henry", "Owen", "Victoria", "Aurora", "Noah"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, true, true, false], "solution_text": "Penelope is a knight, Sofia is a knave, Henry is a knight, Owen is a knight, Victoria is a knight, Aurora is a knight, and Noah is a knave.", "solution_text_format": "(1) Penelope is a knight\n(2) Sofia is a knave\n(3) Henry is a knight\n(4) Owen is a knight\n(5) Victoria is a knight\n(6) Aurora is a knight\n(7) Noah is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Penelope is a knight. No contradiction is found in their claim that Victoria is a knight or Henry is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that Owen is not a knave.", "Assume Owen is a knight. No contradiction is found in their claim that If Penelope is a knight then Sofia is a knave.", "Sofia cannot be a knight, because this would contradict the claim of Owen that If Penelope is a knight then Sofia is a knave.", "Assume Sofia is a knave. No contradiction is found in their false claim that Henry is a knave.", "Assume Henry is a knight. No contradiction is found in their claim that Penelope is a knight if and only if Victoria is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that Henry is not a knave.", "Noah cannot be a knight, because this would contradict the claim of their own that Sofia is a knight or Henry is a knave.", "Assume Noah is a knave. No contradiction is found in their false claim that Sofia is a knight or Henry is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 4), ('telling-truth', 2)), ('lying', 2), ('<=>', ('telling-truth', 0), ('telling-truth', 4)), ('->', ('telling-truth', 0), ('lying', 1)), ('not', ('lying', 3)), ('not', ('lying', 2)), ('or', ('telling-truth', 1), ('lying', 2)))", "index": 371}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Logan, Amelia, Aurora, Benjamin, Victoria, Sophia, and Ella. Logan stated, \"Victoria is a knight and Victoria is a knave\". In a statement by Amelia: \"Benjamin is a knight\". In a statement by Aurora: \"If Sophia is a knight then Benjamin is a knight\". Benjamin was heard saying, \"Ella is a knave or Victoria is a knight\". In Victoria's words: \"Sophia is a knight or Sophia is a knave\". Sophia asserted: \"Logan is a knave\". Ella said, \"Logan is a knight if and only if Victoria is a knave.\" So who is a knight and who is a knave?", "names": ["Logan", "Amelia", "Aurora", "Benjamin", "Victoria", "Sophia", "Ella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, true, true, true], "solution_text": "Logan is a knave, Amelia is a knight, Aurora is a knight, Benjamin is a knight, Victoria is a knight, Sophia is a knight, and Ella is a knight.", "solution_text_format": "(1) Logan is a knave\n(2) Amelia is a knight\n(3) Aurora is a knight\n(4) Benjamin is a knight\n(5) Victoria is a knight\n(6) Sophia is a knight\n(7) Ella is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Logan cannot be a knight, because this would contradict the claim of their own that Victoria is a knight and Victoria is a knave.", "Assume Logan is a knave. No contradiction is found in their false claim that Victoria is a knight and Victoria is a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that Sophia is a knight or Sophia is a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that Logan is a knave.", "Assume Amelia is a knight. No contradiction is found in their claim that Benjamin is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that Ella is a knave or Victoria is a knight.", "Assume Ella is a knight. No contradiction is found in their claim that Logan is a knight if and only if Victoria is a knave.", "Assume Aurora is a knight. No contradiction is found in their claim that If Sophia is a knight then Benjamin is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 4), ('lying', 4)), ('telling-truth', 3), ('->', ('telling-truth', 5), ('telling-truth', 3)), ('or', ('lying', 6), ('telling-truth', 4)), ('or', ('telling-truth', 5), ('lying', 5)), ('lying', 0), ('<=>', ('telling-truth', 0), ('lying', 4)))", "index": 372}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Charlotte, Olivia, Elizabeth, Evelyn, Sebastian, Emma, and Sofia. Charlotte said, \"Elizabeth is a knave and Charlotte is a knight.\" In a statement by Olivia: \"Olivia is a knight or Sebastian is a knave\". Elizabeth commented, \"If Sofia is a knight then Emma is a knave\". As Evelyn put it, \"Elizabeth is a knight or Sofia is a knave\". Sebastian said that Olivia is not a knave. \"Evelyn is a knight,\" Emma declared. \"Charlotte is a knight,\" Sofia declared. So who is a knight and who is a knave?", "names": ["Charlotte", "Olivia", "Elizabeth", "Evelyn", "Sebastian", "Emma", "Sofia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, true, true, false], "solution_text": "Charlotte is a knave, Olivia is a knight, Elizabeth is a knight, Evelyn is a knight, Sebastian is a knight, Emma is a knight, and Sofia is a knave.", "solution_text_format": "(1) Charlotte is a knave\n(2) Olivia is a knight\n(3) Elizabeth is a knight\n(4) Evelyn is a knight\n(5) Sebastian is a knight\n(6) Emma is a knight\n(7) Sofia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Charlotte is a knight. No contradiction is found in their claim that Elizabeth is a knave and Charlotte is a knight.", "Elizabeth cannot be a knight, because this would contradict the claim of Charlotte that Elizabeth is a knave and Charlotte is a knight.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that If Sofia is a knight then Emma is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that Charlotte is a knight.", "Assume Emma is a knight. No contradiction is found in their claim that Evelyn is a knight.", "Evelyn cannot be a knight, because this would contradict the claim of their own that Elizabeth is a knight or Sofia is a knave.", "Evelyn cannot be a knave, because this would contradict the claim of Emma that Evelyn is a knight.", "We have exhausted all possibilities for Evelyn, so let us go back and reconsider Emma.", "Emma cannot be a knave, because this would contradict the false claim of Elizabeth that If Sofia is a knight then Emma is a knave.", "We have exhausted all possibilities for Emma, so let us go back and reconsider Sofia.", "Sofia cannot be a knave, because this would contradict the false claim of Elizabeth that If Sofia is a knight then Emma is a knave.", "We have exhausted all possibilities for Sofia and Elizabeth, so let us go back and reconsider Charlotte.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Elizabeth is a knave and Charlotte is a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that If Sofia is a knight then Emma is a knave.", "Sofia cannot be a knight, because this would contradict the claim of their own that Charlotte is a knight.", "Assume Sofia is a knave. No contradiction is found in their false claim that Charlotte is a knight.", "Assume Emma is a knight. No contradiction is found in their claim that Evelyn is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that Elizabeth is a knight or Sofia is a knave.", "Assume Olivia is a knight. No contradiction is found in their claim that Olivia is a knight or Sebastian is a knave.", "Assume Sebastian is a knight. No contradiction is found in their claim that Olivia is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('telling-truth', 0)), ('or', ('telling-truth', 1), ('lying', 4)), ('->', ('telling-truth', 6), ('lying', 5)), ('or', ('telling-truth', 2), ('lying', 6)), ('not', ('lying', 1)), ('telling-truth', 3), ('telling-truth', 0))", "index": 373}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Amelia, Evelyn, Sophia, Mia, Samuel, Benjamin, and Henry. Amelia told you that Amelia is a knight and Sophia is a knight. Evelyn remarked, \"If Mia is a knight then Samuel is a knight\". Sophia stated, \"Samuel is a knight and Amelia is a knave\". Mia commented, \"If Sophia is a knight then Sophia is a knave\". Samuel commented, \"If Samuel is a knight then Evelyn is a knight\". In a statement by Benjamin: \"Amelia is a knight or Henry is a knave\". Henry commented, \"Amelia is a knave\". So who is a knight and who is a knave?", "names": ["Amelia", "Evelyn", "Sophia", "Mia", "Samuel", "Benjamin", "Henry"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false, true, false, true], "solution_text": "Amelia is a knave, Evelyn is a knight, Sophia is a knight, Mia is a knave, Samuel is a knight, Benjamin is a knave, and Henry is a knight.", "solution_text_format": "(1) Amelia is a knave\n(2) Evelyn is a knight\n(3) Sophia is a knight\n(4) Mia is a knave\n(5) Samuel is a knight\n(6) Benjamin is a knave\n(7) Henry is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Amelia is a knight. No contradiction is found in their claim that Amelia is a knight and Sophia is a knight.", "Sophia cannot be a knight, because this would contradict the claim of their own that Samuel is a knight and Amelia is a knave.", "Sophia cannot be a knave, because this would contradict the claim of Amelia that Amelia is a knight and Sophia is a knight.", "We have exhausted all possibilities for Sophia, so let us go back and reconsider Amelia.", "Assume Amelia is a knave. No contradiction is found in their false claim that Amelia is a knight and Sophia is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that Samuel is a knight and Amelia is a knave.", "Assume Samuel is a knight. No contradiction is found in their claim that If Samuel is a knight then Evelyn is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that If Mia is a knight then Samuel is a knight.", "Mia cannot be a knight, because this would contradict the claim of their own that If Sophia is a knight then Sophia is a knave.", "Assume Mia is a knave. No contradiction is found in their false claim that If Sophia is a knight then Sophia is a knave.", "Assume Benjamin is a knight. No contradiction is found in their claim that Amelia is a knight or Henry is a knave.", "Henry cannot be a knight, because this would contradict the claim of Benjamin that Amelia is a knight or Henry is a knave.", "Henry cannot be a knave, because this would contradict the false claim of their own that Amelia is a knave.", "We have exhausted all possibilities for Henry, so let us go back and reconsider Benjamin.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Amelia is a knight or Henry is a knave.", "Assume Henry is a knight. No contradiction is found in their claim that Amelia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 0), ('telling-truth', 2)), ('->', ('telling-truth', 3), ('telling-truth', 4)), ('and', ('telling-truth', 4), ('lying', 0)), ('->', ('telling-truth', 2), ('lying', 2)), ('->', ('telling-truth', 4), ('telling-truth', 1)), ('or', ('telling-truth', 0), ('lying', 6)), ('lying', 0))", "index": 374}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Zoey, Michael, Riley, Lucas, Mason, Abigail, and Sebastian. \"If Abigail is a knight then Mason is a knight,\" Zoey mentioned. Michael noted, \"Abigail is a knave\". Riley was heard saying, \"Sebastian is a knight\". Lucas was heard saying, \"If Abigail is a knight then Michael is a knave\". Mason noted, \"Riley is a knight\". Abigail said that Lucas is a knave or Zoey is a knave. Sebastian said that If Lucas is a knave then Michael is a knight. So who is a knight and who is a knave?", "names": ["Zoey", "Michael", "Riley", "Lucas", "Mason", "Abigail", "Sebastian"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, true, false, true], "solution_text": "Zoey is a knight, Michael is a knight, Riley is a knight, Lucas is a knight, Mason is a knight, Abigail is a knave, and Sebastian is a knight.", "solution_text_format": "(1) Zoey is a knight\n(2) Michael is a knight\n(3) Riley is a knight\n(4) Lucas is a knight\n(5) Mason is a knight\n(6) Abigail is a knave\n(7) Sebastian is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Zoey is a knight. No contradiction is found in their claim that If Abigail is a knight then Mason is a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that Lucas is a knave or Zoey is a knave.", "Lucas cannot be a knight, because this would contradict the claim of Abigail that Lucas is a knave or Zoey is a knave.", "Assume Lucas is a knave. No contradiction is found in their false claim that If Abigail is a knight then Michael is a knave.", "Michael cannot be a knight, because this would contradict the claim of their own that Abigail is a knave.", "Michael cannot be a knave, because this would contradict the false claim of Lucas that If Abigail is a knight then Michael is a knave.", "We have exhausted all possibilities for Michael and Lucas, so let us go back and reconsider Abigail.", "Assume Abigail is a knave. No contradiction is found in their false claim that Lucas is a knave or Zoey is a knave.", "Assume Lucas is a knight. No contradiction is found in their claim that If Abigail is a knight then Michael is a knave.", "Assume Michael is a knight. No contradiction is found in their claim that Abigail is a knave.", "Assume Mason is a knight. No contradiction is found in their claim that Riley is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that Sebastian is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that If Lucas is a knave then Michael is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 5), ('telling-truth', 4)), ('lying', 5), ('telling-truth', 6), ('->', ('telling-truth', 5), ('lying', 1)), ('telling-truth', 2), ('or', ('lying', 3), ('lying', 0)), ('->', ('lying', 3), ('telling-truth', 1)))", "index": 375}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: James, Avery, Aurora, Liam, Ava, Chloe, and William. In a statement by James: \"Chloe is a knight\". Avery was heard saying, \"Ava is a knave or William is a knave\". \"Avery is a knight if and only if Ava is a knave,\" Aurora mentioned. \"Aurora is a knight and Aurora is a knave,\" Liam declared. Ava expressed that James is a knight and Avery is a knave. \"William is not a knave,\" Chloe claimed. William remarked, \"If Ava is a knight then Ava is a knave\". So who is a knight and who is a knave?", "names": ["James", "Avery", "Aurora", "Liam", "Ava", "Chloe", "William"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false, false, true, true], "solution_text": "James is a knight, Avery is a knight, Aurora is a knight, Liam is a knave, Ava is a knave, Chloe is a knight, and William is a knight.", "solution_text_format": "(1) James is a knight\n(2) Avery is a knight\n(3) Aurora is a knight\n(4) Liam is a knave\n(5) Ava is a knave\n(6) Chloe is a knight\n(7) William is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume James is a knight. No contradiction is found in their claim that Chloe is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that William is not a knave.", "Assume William is a knight. No contradiction is found in their claim that If Ava is a knight then Ava is a knave.", "Ava cannot be a knight, because this would contradict the claim of William that If Ava is a knight then Ava is a knave.", "Assume Ava is a knave. No contradiction is found in their false claim that James is a knight and Avery is a knave.", "Assume Avery is a knight. No contradiction is found in their claim that Ava is a knave or William is a knave.", "Assume Aurora is a knight. No contradiction is found in their claim that Avery is a knight if and only if Ava is a knave.", "Liam cannot be a knight, because this would contradict the claim of their own that Aurora is a knight and Aurora is a knave.", "Assume Liam is a knave. No contradiction is found in their false claim that Aurora is a knight and Aurora is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 5), ('or', ('lying', 4), ('lying', 6)), ('<=>', ('telling-truth', 1), ('lying', 4)), ('and', ('telling-truth', 2), ('lying', 2)), ('and', ('telling-truth', 0), ('lying', 1)), ('not', ('lying', 6)), ('->', ('telling-truth', 4), ('lying', 4)))", "index": 376}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Olivia, Samuel, Aurora, Victoria, David, Jacob, and Scarlett. \"David is a knight or Scarlett is a knight,\" Olivia claimed. Samuel commented, \"Victoria is a knave and Olivia is a knight\". Aurora remarked, \"If Aurora is a knight then Scarlett is a knight\". Victoria told you that If David is a knave then Aurora is a knight. David stated, \"Olivia is a knave if and only if Victoria is a knave\". Jacob was heard saying, \"If Victoria is a knave then Victoria is a knight\". Scarlett commented, \"Aurora is a knight or David is a knight\". So who is a knight and who is a knave?", "names": ["Olivia", "Samuel", "Aurora", "Victoria", "David", "Jacob", "Scarlett"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, true, true, true], "solution_text": "Olivia is a knight, Samuel is a knave, Aurora is a knight, Victoria is a knight, David is a knight, Jacob is a knight, and Scarlett is a knight.", "solution_text_format": "(1) Olivia is a knight\n(2) Samuel is a knave\n(3) Aurora is a knight\n(4) Victoria is a knight\n(5) David is a knight\n(6) Jacob is a knight\n(7) Scarlett is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Olivia is a knight. No contradiction is found in their claim that David is a knight or Scarlett is a knight.", "Assume David is a knight. No contradiction is found in their claim that Olivia is a knave if and only if Victoria is a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that If David is a knave then Aurora is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that If Aurora is a knight then Scarlett is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that Aurora is a knight or David is a knight.", "Samuel cannot be a knight, because this would contradict the claim of their own that Victoria is a knave and Olivia is a knight.", "Assume Samuel is a knave. No contradiction is found in their false claim that Victoria is a knave and Olivia is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that If Victoria is a knave then Victoria is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 4), ('telling-truth', 6)), ('and', ('lying', 3), ('telling-truth', 0)), ('->', ('telling-truth', 2), ('telling-truth', 6)), ('->', ('lying', 4), ('telling-truth', 2)), ('<=>', ('lying', 0), ('lying', 3)), ('->', ('lying', 3), ('telling-truth', 3)), ('or', ('telling-truth', 2), ('telling-truth', 4)))", "index": 377}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Sophia, Emma, Jackson, Owen, Matthew, Mia, and James. As Sophia put it, \"Mia is a knight if and only if Owen is a knave\". Emma was heard saying, \"Mia is a knight\". Jackson remarked, \"James is a knight and Emma is a knave\". Owen said that Matthew is a knave. Matthew was heard saying, \"James is not a knave\". Mia said that James is not a knave. James noted, \"Emma is a knight if and only if James is a knight\". So who is a knight and who is a knave?", "names": ["Sophia", "Emma", "Jackson", "Owen", "Matthew", "Mia", "James"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false, true, true, true], "solution_text": "Sophia is a knight, Emma is a knight, Jackson is a knave, Owen is a knave, Matthew is a knight, Mia is a knight, and James is a knight.", "solution_text_format": "(1) Sophia is a knight\n(2) Emma is a knight\n(3) Jackson is a knave\n(4) Owen is a knave\n(5) Matthew is a knight\n(6) Mia is a knight\n(7) James is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sophia is a knight. No contradiction is found in their claim that Mia is a knight if and only if Owen is a knave.", "Assume Mia is a knight. No contradiction is found in their claim that James is not a knave.", "Assume James is a knight. No contradiction is found in their claim that Emma is a knight if and only if James is a knight.", "Assume Emma is a knight. No contradiction is found in their claim that Mia is a knight.", "Owen cannot be a knight, because this would contradict the claim of Sophia that Mia is a knight if and only if Owen is a knave.", "Assume Owen is a knave. No contradiction is found in their false claim that Matthew is a knave.", "Assume Matthew is a knight. No contradiction is found in their claim that James is not a knave.", "Jackson cannot be a knight, because this would contradict the claim of their own that James is a knight and Emma is a knave.", "Assume Jackson is a knave. No contradiction is found in their false claim that James is a knight and Emma is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 5), ('lying', 3)), ('telling-truth', 5), ('and', ('telling-truth', 6), ('lying', 1)), ('lying', 4), ('not', ('lying', 6)), ('not', ('lying', 6)), ('<=>', ('telling-truth', 1), ('telling-truth', 6)))", "index": 378}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Joseph, Sofia, Aurora, Isabella, William, Chloe, and Charlotte. Joseph noted, \"Aurora is a knave or William is a knave\". According to Sofia, \"Isabella is a knave\". Aurora said, \"Charlotte is a knight if and only if Joseph is a knave.\" Isabella told you that William is not a knight. As William put it, \"Joseph is a knave if and only if Charlotte is a knight\". Chloe was heard saying, \"Aurora is a knave and Aurora is a knight\". Charlotte was heard saying, \"Aurora is a knight\". So who is a knight and who is a knave?", "names": ["Joseph", "Sofia", "Aurora", "Isabella", "William", "Chloe", "Charlotte"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false, true, false, true], "solution_text": "Joseph is a knave, Sofia is a knight, Aurora is a knight, Isabella is a knave, William is a knight, Chloe is a knave, and Charlotte is a knight.", "solution_text_format": "(1) Joseph is a knave\n(2) Sofia is a knight\n(3) Aurora is a knight\n(4) Isabella is a knave\n(5) William is a knight\n(6) Chloe is a knave\n(7) Charlotte is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Joseph is a knight. No contradiction is found in their claim that Aurora is a knave or William is a knave.", "Assume Aurora is a knight. No contradiction is found in their claim that Charlotte is a knight if and only if Joseph is a knave.", "Charlotte cannot be a knight, because this would contradict the claim of Aurora that Charlotte is a knight if and only if Joseph is a knave.", "Charlotte cannot be a knave, because this would contradict the false claim of their own that Aurora is a knight.", "We have exhausted all possibilities for Charlotte, so let us go back and reconsider Aurora.", "Assume Aurora is a knave. No contradiction is found in their false claim that Charlotte is a knight if and only if Joseph is a knave.", "Charlotte cannot be a knight, because this would contradict the claim of their own that Aurora is a knight.", "Charlotte cannot be a knave, because this would contradict the false claim of Aurora that Charlotte is a knight if and only if Joseph is a knave.", "We have exhausted all possibilities for Charlotte and Aurora, so let us go back and reconsider Joseph.", "Assume Joseph is a knave. No contradiction is found in their false claim that Aurora is a knave or William is a knave.", "Assume Aurora is a knight. No contradiction is found in their claim that Charlotte is a knight if and only if Joseph is a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that Aurora is a knight.", "Assume William is a knight. No contradiction is found in their claim that Joseph is a knave if and only if Charlotte is a knight.", "Assume Sofia is a knight. No contradiction is found in their claim that Isabella is a knave.", "Isabella cannot be a knight, because this would contradict the claim of Sofia that Isabella is a knave.", "Assume Isabella is a knave. No contradiction is found in their false claim that William is not a knight.", "Chloe cannot be a knight, because this would contradict the claim of their own that Aurora is a knave and Aurora is a knight.", "Assume Chloe is a knave. No contradiction is found in their false claim that Aurora is a knave and Aurora is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 2), ('lying', 4)), ('lying', 3), ('<=>', ('telling-truth', 6), ('lying', 0)), ('not', ('telling-truth', 4)), ('<=>', ('lying', 0), ('telling-truth', 6)), ('and', ('lying', 2), ('telling-truth', 2)), ('telling-truth', 2))", "index": 379}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Jacob, Aiden, Harper, Victoria, James, Oliver, and Olivia. As Jacob put it, \"Aiden is a knave or Victoria is a knave\". In a statement by Aiden: \"Jacob is a knave if and only if Olivia is a knave\". \"Aiden is a knave if and only if Victoria is a knave,\" Harper mentioned. As Victoria put it, \"Oliver is a knight and Jacob is a knave\". James was heard saying, \"Harper is not a knave\". Oliver commented, \"Aiden is a knave or Olivia is a knight\". As Olivia put it, \"James is a knight or Oliver is a knight\". So who is a knight and who is a knave?", "names": ["Jacob", "Aiden", "Harper", "Victoria", "James", "Oliver", "Olivia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false, false, true, true], "solution_text": "Jacob is a knight, Aiden is a knight, Harper is a knave, Victoria is a knave, James is a knave, Oliver is a knight, and Olivia is a knight.", "solution_text_format": "(1) Jacob is a knight\n(2) Aiden is a knight\n(3) Harper is a knave\n(4) Victoria is a knave\n(5) James is a knave\n(6) Oliver is a knight\n(7) Olivia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jacob is a knight. No contradiction is found in their claim that Aiden is a knave or Victoria is a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that Jacob is a knave if and only if Olivia is a knave.", "Assume Olivia is a knight. No contradiction is found in their claim that James is a knight or Oliver is a knight.", "Assume James is a knight. No contradiction is found in their claim that Harper is not a knave.", "Assume Harper is a knight. No contradiction is found in their claim that Aiden is a knave if and only if Victoria is a knave.", "Victoria cannot be a knight, because this would contradict the claim of Jacob that Aiden is a knave or Victoria is a knave.", "Victoria cannot be a knave, because this would contradict the claim of Harper that Aiden is a knave if and only if Victoria is a knave.", "We have exhausted all possibilities for Victoria, so let us go back and reconsider Harper.", "Harper cannot be a knave, because this would contradict the claim of James that Harper is not a knave.", "We have exhausted all possibilities for Harper, so let us go back and reconsider James.", "Assume James is a knave. No contradiction is found in their false claim that Harper is not a knave.", "Harper cannot be a knight, because this would contradict the false claim of James that Harper is not a knave.", "Assume Harper is a knave. No contradiction is found in their false claim that Aiden is a knave if and only if Victoria is a knave.", "Victoria cannot be a knight, because this would contradict the claim of Jacob that Aiden is a knave or Victoria is a knave.", "Assume Victoria is a knave. No contradiction is found in their false claim that Oliver is a knight and Jacob is a knave.", "Assume Oliver is a knight. No contradiction is found in their claim that Aiden is a knave or Olivia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('lying', 3)), ('<=>', ('lying', 0), ('lying', 6)), ('<=>', ('lying', 1), ('lying', 3)), ('and', ('telling-truth', 5), ('lying', 0)), ('not', ('lying', 2)), ('or', ('lying', 1), ('telling-truth', 6)), ('or', ('telling-truth', 4), ('telling-truth', 5)))", "index": 380}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Sebastian, Luke, Samuel, Mason, Avery, Joseph, and Oliver. Sebastian told you that Avery is a knave and Avery is a knight. Luke noted, \"Samuel is not a knight\". Samuel stated, \"Mason is a knight or Joseph is a knave\". \"Joseph is a knave,\" Mason mentioned. In a statement by Avery: \"If Joseph is a knight then Mason is a knight\". Joseph said that Mason is a knight and Avery is a knave. Oliver was heard saying, \"Sebastian is a knave\". So who is a knight and who is a knave?", "names": ["Sebastian", "Luke", "Samuel", "Mason", "Avery", "Joseph", "Oliver"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true, true, false, true], "solution_text": "Sebastian is a knave, Luke is a knave, Samuel is a knight, Mason is a knight, Avery is a knight, Joseph is a knave, and Oliver is a knight.", "solution_text_format": "(1) Sebastian is a knave\n(2) Luke is a knave\n(3) Samuel is a knight\n(4) Mason is a knight\n(5) Avery is a knight\n(6) Joseph is a knave\n(7) Oliver is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Sebastian cannot be a knight, because this would contradict the claim of their own that Avery is a knave and Avery is a knight.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Avery is a knave and Avery is a knight.", "Assume Avery is a knight. No contradiction is found in their claim that If Joseph is a knight then Mason is a knight.", "Joseph cannot be a knight, because this would contradict the claim of their own that Mason is a knight and Avery is a knave.", "Assume Joseph is a knave. No contradiction is found in their false claim that Mason is a knight and Avery is a knave.", "Assume Mason is a knight. No contradiction is found in their claim that Joseph is a knave.", "Assume Luke is a knight. No contradiction is found in their claim that Samuel is not a knight.", "Samuel cannot be a knight, because this would contradict the claim of Luke that Samuel is not a knight.", "Samuel cannot be a knave, because this would contradict the false claim of their own that Mason is a knight or Joseph is a knave.", "We have exhausted all possibilities for Samuel, so let us go back and reconsider Luke.", "Assume Luke is a knave. No contradiction is found in their false claim that Samuel is not a knight.", "Assume Samuel is a knight. No contradiction is found in their claim that Mason is a knight or Joseph is a knave.", "Assume Oliver is a knight. No contradiction is found in their claim that Sebastian is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 4), ('telling-truth', 4)), ('not', ('telling-truth', 2)), ('or', ('telling-truth', 3), ('lying', 5)), ('lying', 5), ('->', ('telling-truth', 5), ('telling-truth', 3)), ('and', ('telling-truth', 3), ('lying', 4)), ('lying', 0))", "index": 381}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Alexander, Scarlett, Ella, Emily, Sofia, James, and Abigail. Alexander remarked, \"Scarlett is a knave and Emily is a knave\". Scarlett stated, \"James is a knight or Alexander is a knave\". Ella stated, \"If Scarlett is a knight then Sofia is a knave\". Emily told you that James is a knight or Scarlett is a knight. Sofia was heard saying, \"Emily is a knight or Scarlett is a knight\". \"Ella is a knight if and only if Abigail is a knight,\" James mentioned. Abigail noted, \"Sofia is a knave\". So who is a knight and who is a knave?", "names": ["Alexander", "Scarlett", "Ella", "Emily", "Sofia", "James", "Abigail"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true, true, true, false], "solution_text": "Alexander is a knave, Scarlett is a knight, Ella is a knave, Emily is a knight, Sofia is a knight, James is a knight, and Abigail is a knave.", "solution_text_format": "(1) Alexander is a knave\n(2) Scarlett is a knight\n(3) Ella is a knave\n(4) Emily is a knight\n(5) Sofia is a knight\n(6) James is a knight\n(7) Abigail is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Alexander is a knight. No contradiction is found in their claim that Scarlett is a knave and Emily is a knave.", "Scarlett cannot be a knight, because this would contradict the claim of Alexander that Scarlett is a knave and Emily is a knave.", "Assume Scarlett is a knave. No contradiction is found in their false claim that James is a knight or Alexander is a knave.", "James cannot be a knight, because this would contradict the false claim of Scarlett that James is a knight or Alexander is a knave.", "Assume James is a knave. No contradiction is found in their false claim that Ella is a knight if and only if Abigail is a knight.", "Assume Ella is a knight. No contradiction is found in their claim that If Scarlett is a knight then Sofia is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that Emily is a knight or Scarlett is a knight.", "Emily cannot be a knight, because this would contradict the claim of Alexander that Scarlett is a knave and Emily is a knave.", "Emily cannot be a knave, because this would contradict the claim of Sofia that Emily is a knight or Scarlett is a knight.", "We have exhausted all possibilities for Emily, so let us go back and reconsider Sofia.", "Assume Sofia is a knave. No contradiction is found in their false claim that Emily is a knight or Scarlett is a knight.", "Emily cannot be a knight, because this would contradict the claim of Alexander that Scarlett is a knave and Emily is a knave.", "Assume Emily is a knave. No contradiction is found in their false claim that James is a knight or Scarlett is a knight.", "Abigail cannot be a knight, because this would contradict the false claim of James that Ella is a knight if and only if Abigail is a knight.", "Abigail cannot be a knave, because this would contradict the false claim of their own that Sofia is a knave.", "We have exhausted all possibilities for Abigail, Emily, and Sofia, so let us go back and reconsider Ella.", "Ella cannot be a knave, because this would contradict the false claim of their own that If Scarlett is a knight then Sofia is a knave.", "We have exhausted all possibilities for Ella, James, and Scarlett, so let us go back and reconsider Alexander.", "Assume Alexander is a knave. No contradiction is found in their false claim that Scarlett is a knave and Emily is a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that James is a knight or Alexander is a knave.", "Assume James is a knight. No contradiction is found in their claim that Ella is a knight if and only if Abigail is a knight.", "Assume Ella is a knight. No contradiction is found in their claim that If Scarlett is a knight then Sofia is a knave.", "Sofia cannot be a knight, because this would contradict the claim of Ella that If Scarlett is a knight then Sofia is a knave.", "Sofia cannot be a knave, because this would contradict the false claim of their own that Emily is a knight or Scarlett is a knight.", "We have exhausted all possibilities for Sofia, so let us go back and reconsider Ella.", "Assume Ella is a knave. No contradiction is found in their false claim that If Scarlett is a knight then Sofia is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that Emily is a knight or Scarlett is a knight.", "Assume Emily is a knight. No contradiction is found in their claim that James is a knight or Scarlett is a knight.", "Abigail cannot be a knight, because this would contradict the claim of James that Ella is a knight if and only if Abigail is a knight.", "Assume Abigail is a knave. No contradiction is found in their false claim that Sofia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('lying', 3)), ('or', ('telling-truth', 5), ('lying', 0)), ('->', ('telling-truth', 1), ('lying', 4)), ('or', ('telling-truth', 5), ('telling-truth', 1)), ('or', ('telling-truth', 3), ('telling-truth', 1)), ('<=>', ('telling-truth', 2), ('telling-truth', 6)), ('lying', 4))", "index": 382}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Samuel, Aiden, Sophia, Emily, Aria, Mia, and Ava. Samuel commented, \"Aria is not a knight\". Aiden noted, \"Aria is a knight and Aria is a knave\". \"Samuel is a knight and Emily is a knave\" - Sophia. Emily asserted: \"Mia is not a knight\". In Aria's words: \"If Aiden is a knave then Ava is a knave\". \"Sophia is a knight or Ava is a knight,\" Mia mentioned. Ava asserted: \"Samuel is a knight and Emily is a knight\". So who is a knight and who is a knave?", "names": ["Samuel", "Aiden", "Sophia", "Emily", "Aria", "Mia", "Ava"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true, true, false, false], "solution_text": "Samuel is a knave, Aiden is a knave, Sophia is a knave, Emily is a knight, Aria is a knight, Mia is a knave, and Ava is a knave.", "solution_text_format": "(1) Samuel is a knave\n(2) Aiden is a knave\n(3) Sophia is a knave\n(4) Emily is a knight\n(5) Aria is a knight\n(6) Mia is a knave\n(7) Ava is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Samuel is a knight. No contradiction is found in their claim that Aria is not a knight.", "Aria cannot be a knight, because this would contradict the claim of Samuel that Aria is not a knight.", "Assume Aria is a knave. No contradiction is found in their false claim that If Aiden is a knave then Ava is a knave.", "Aiden cannot be a knight, because this would contradict the claim of their own that Aria is a knight and Aria is a knave.", "Assume Aiden is a knave. No contradiction is found in their false claim that Aria is a knight and Aria is a knave.", "Assume Ava is a knight. No contradiction is found in their claim that Samuel is a knight and Emily is a knight.", "Assume Emily is a knight. No contradiction is found in their claim that Mia is not a knight.", "Mia cannot be a knight, because this would contradict the claim of Emily that Mia is not a knight.", "Mia cannot be a knave, because this would contradict the false claim of their own that Sophia is a knight or Ava is a knight.", "We have exhausted all possibilities for Mia, so let us go back and reconsider Emily.", "Emily cannot be a knave, because this would contradict the claim of Ava that Samuel is a knight and Emily is a knight.", "We have exhausted all possibilities for Emily, so let us go back and reconsider Ava.", "Ava cannot be a knave, because this would contradict the false claim of Aria that If Aiden is a knave then Ava is a knave.", "We have exhausted all possibilities for Ava, Aiden, and Aria, so let us go back and reconsider Samuel.", "Assume Samuel is a knave. No contradiction is found in their false claim that Aria is not a knight.", "Assume Aria is a knight. No contradiction is found in their claim that If Aiden is a knave then Ava is a knave.", "Aiden cannot be a knight, because this would contradict the claim of their own that Aria is a knight and Aria is a knave.", "Assume Aiden is a knave. No contradiction is found in their false claim that Aria is a knight and Aria is a knave.", "Ava cannot be a knight, because this would contradict the claim of Aria that If Aiden is a knave then Ava is a knave.", "Assume Ava is a knave. No contradiction is found in their false claim that Samuel is a knight and Emily is a knight.", "Assume Emily is a knight. No contradiction is found in their claim that Mia is not a knight.", "Mia cannot be a knight, because this would contradict the claim of Emily that Mia is not a knight.", "Assume Mia is a knave. No contradiction is found in their false claim that Sophia is a knight or Ava is a knight.", "Sophia cannot be a knight, because this would contradict the claim of their own that Samuel is a knight and Emily is a knave.", "Assume Sophia is a knave. No contradiction is found in their false claim that Samuel is a knight and Emily is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 4)), ('and', ('telling-truth', 4), ('lying', 4)), ('and', ('telling-truth', 0), ('lying', 3)), ('not', ('telling-truth', 5)), ('->', ('lying', 1), ('lying', 6)), ('or', ('telling-truth', 2), ('telling-truth', 6)), ('and', ('telling-truth', 0), ('telling-truth', 3)))", "index": 383}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Grace, Victoria, Matthew, Lily, Zoey, Logan, and Michael. Grace said, \"Logan is a knight or Grace is a knight.\" Victoria said that Matthew is a knave. Matthew stated, \"If Grace is a knave then Matthew is a knight\". Lily remarked, \"Zoey is not a knight\". As Zoey put it, \"If Logan is a knave then Matthew is a knave\". \"Victoria is a knight or Michael is a knight,\" Logan declared. In a statement by Michael: \"Zoey is a knight or Matthew is a knight\". So who is a knight and who is a knave?", "names": ["Grace", "Victoria", "Matthew", "Lily", "Zoey", "Logan", "Michael"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false, true, true, true], "solution_text": "Grace is a knight, Victoria is a knave, Matthew is a knight, Lily is a knave, Zoey is a knight, Logan is a knight, and Michael is a knight.", "solution_text_format": "(1) Grace is a knight\n(2) Victoria is a knave\n(3) Matthew is a knight\n(4) Lily is a knave\n(5) Zoey is a knight\n(6) Logan is a knight\n(7) Michael is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Grace is a knight. No contradiction is found in their claim that Logan is a knight or Grace is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that Victoria is a knight or Michael is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that Matthew is a knave.", "Matthew cannot be a knight, because this would contradict the claim of Victoria that Matthew is a knave.", "Matthew cannot be a knave, because this would contradict the false claim of their own that If Grace is a knave then Matthew is a knight.", "We have exhausted all possibilities for Matthew, so let us go back and reconsider Victoria.", "Assume Victoria is a knave. No contradiction is found in their false claim that Matthew is a knave.", "Assume Matthew is a knight. No contradiction is found in their claim that If Grace is a knave then Matthew is a knight.", "Assume Michael is a knight. No contradiction is found in their claim that Zoey is a knight or Matthew is a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that If Logan is a knave then Matthew is a knave.", "Lily cannot be a knight, because this would contradict the claim of their own that Zoey is not a knight.", "Assume Lily is a knave. No contradiction is found in their false claim that Zoey is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 5), ('telling-truth', 0)), ('lying', 2), ('->', ('lying', 0), ('telling-truth', 2)), ('not', ('telling-truth', 4)), ('->', ('lying', 5), ('lying', 2)), ('or', ('telling-truth', 1), ('telling-truth', 6)), ('or', ('telling-truth', 4), ('telling-truth', 2)))", "index": 384}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Emma, Isabella, Aria, Sebastian, Sofia, Oliver, and William. As Emma put it, \"Oliver is a knave or William is a knave\". Isabella commented, \"William is a knight and Oliver is a knave\". \"If Emma is a knave then William is a knight,\" Aria claimed. In a statement by Sebastian: \"William is not a knave\". Sofia was heard saying, \"If William is a knave then Aria is a knight\". According to Oliver, \"Aria is not a knave\". William stated, \"Isabella is a knight\". So who is a knight and who is a knave?", "names": ["Emma", "Isabella", "Aria", "Sebastian", "Sofia", "Oliver", "William"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false, true, true, false], "solution_text": "Emma is a knight, Isabella is a knave, Aria is a knight, Sebastian is a knave, Sofia is a knight, Oliver is a knight, and William is a knave.", "solution_text_format": "(1) Emma is a knight\n(2) Isabella is a knave\n(3) Aria is a knight\n(4) Sebastian is a knave\n(5) Sofia is a knight\n(6) Oliver is a knight\n(7) William is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Emma is a knight. No contradiction is found in their claim that Oliver is a knave or William is a knave.", "Assume Oliver is a knight. No contradiction is found in their claim that Aria is not a knave.", "Assume Aria is a knight. No contradiction is found in their claim that If Emma is a knave then William is a knight.", "William cannot be a knight, because this would contradict the claim of Emma that Oliver is a knave or William is a knave.", "Assume William is a knave. No contradiction is found in their false claim that Isabella is a knight.", "Isabella cannot be a knight, because this would contradict the claim of their own that William is a knight and Oliver is a knave.", "Assume Isabella is a knave. No contradiction is found in their false claim that William is a knight and Oliver is a knave.", "Sebastian cannot be a knight, because this would contradict the claim of their own that William is not a knave.", "Assume Sebastian is a knave. No contradiction is found in their false claim that William is not a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that If William is a knave then Aria is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 5), ('lying', 6)), ('and', ('telling-truth', 6), ('lying', 5)), ('->', ('lying', 0), ('telling-truth', 6)), ('not', ('lying', 6)), ('->', ('lying', 6), ('telling-truth', 2)), ('not', ('lying', 2)), ('telling-truth', 1))", "index": 385}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Grace, Mason, David, Oliver, Henry, Jacob, and Mia. Grace was heard saying, \"Oliver is a knight if and only if Mason is a knave\". \"David is a knight or Mia is a knight\" - Mason. David stated, \"Mia is a knight and Grace is a knight\". Oliver expressed that Grace is a knave if and only if Jacob is a knave. Henry stated, \"Jacob is a knave\". \"Mia is a knight and Mason is a knave,\" Jacob declared. \"If Mia is a knight then Oliver is a knight,\" Mia mentioned. So who is a knight and who is a knave?", "names": ["Grace", "Mason", "David", "Oliver", "Henry", "Jacob", "Mia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true, true, false, true], "solution_text": "Grace is a knave, Mason is a knight, David is a knave, Oliver is a knight, Henry is a knight, Jacob is a knave, and Mia is a knight.", "solution_text_format": "(1) Grace is a knave\n(2) Mason is a knight\n(3) David is a knave\n(4) Oliver is a knight\n(5) Henry is a knight\n(6) Jacob is a knave\n(7) Mia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Grace is a knight. No contradiction is found in their claim that Oliver is a knight if and only if Mason is a knave.", "Assume Oliver is a knight. No contradiction is found in their claim that Grace is a knave if and only if Jacob is a knave.", "Assume Jacob is a knight. No contradiction is found in their claim that Mia is a knight and Mason is a knave.", "Assume Mia is a knight. No contradiction is found in their claim that If Mia is a knight then Oliver is a knight.", "Mason cannot be a knight, because this would contradict the claim of Grace that Oliver is a knight if and only if Mason is a knave.", "Mason cannot be a knave, because this would contradict the false claim of their own that David is a knight or Mia is a knight.", "We have exhausted all possibilities for Mason, so let us go back and reconsider Mia.", "Mia cannot be a knave, because this would contradict the claim of Jacob that Mia is a knight and Mason is a knave.", "We have exhausted all possibilities for Mia, so let us go back and reconsider Jacob.", "Jacob cannot be a knave, because this would contradict the claim of Oliver that Grace is a knave if and only if Jacob is a knave.", "We have exhausted all possibilities for Jacob, so let us go back and reconsider Oliver.", "Assume Oliver is a knave. No contradiction is found in their false claim that Grace is a knave if and only if Jacob is a knave.", "Jacob cannot be a knight, because this would contradict the false claim of Oliver that Grace is a knave if and only if Jacob is a knave.", "Assume Jacob is a knave. No contradiction is found in their false claim that Mia is a knight and Mason is a knave.", "Mia cannot be a knight, because this would contradict the claim of their own that If Mia is a knight then Oliver is a knight.", "Mia cannot be a knave, because this would contradict the false claim of their own that If Mia is a knight then Oliver is a knight.", "We have exhausted all possibilities for Mia, Jacob, and Oliver, so let us go back and reconsider Grace.", "Assume Grace is a knave. No contradiction is found in their false claim that Oliver is a knight if and only if Mason is a knave.", "Assume Oliver is a knight. No contradiction is found in their claim that Grace is a knave if and only if Jacob is a knave.", "Jacob cannot be a knight, because this would contradict the claim of Oliver that Grace is a knave if and only if Jacob is a knave.", "Assume Jacob is a knave. No contradiction is found in their false claim that Mia is a knight and Mason is a knave.", "Assume Mia is a knight. No contradiction is found in their claim that If Mia is a knight then Oliver is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that David is a knight or Mia is a knight.", "David cannot be a knight, because this would contradict the claim of their own that Mia is a knight and Grace is a knight.", "Assume David is a knave. No contradiction is found in their false claim that Mia is a knight and Grace is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that Jacob is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 3), ('lying', 1)), ('or', ('telling-truth', 2), ('telling-truth', 6)), ('and', ('telling-truth', 6), ('telling-truth', 0)), ('<=>', ('lying', 0), ('lying', 5)), ('lying', 5), ('and', ('telling-truth', 6), ('lying', 1)), ('->', ('telling-truth', 6), ('telling-truth', 3)))", "index": 386}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Victoria, Evelyn, Mason, Sebastian, Aria, Lily, and Isabella. According to Victoria, \"Aria is a knave or Lily is a knight\". Evelyn asserted: \"Sebastian is not a knave\". \"Isabella is a knave if and only if Lily is a knight,\" Mason claimed. Sebastian remarked, \"Victoria is not a knight\". Aria said that Evelyn is a knave if and only if Lily is a knave. In a statement by Lily: \"If Sebastian is a knave then Isabella is a knave\". Isabella commented, \"Mason is a knave or Isabella is a knight\". So who is a knight and who is a knave?", "names": ["Victoria", "Evelyn", "Mason", "Sebastian", "Aria", "Lily", "Isabella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false, false, true, false], "solution_text": "Victoria is a knight, Evelyn is a knave, Mason is a knight, Sebastian is a knave, Aria is a knave, Lily is a knight, and Isabella is a knave.", "solution_text_format": "(1) Victoria is a knight\n(2) Evelyn is a knave\n(3) Mason is a knight\n(4) Sebastian is a knave\n(5) Aria is a knave\n(6) Lily is a knight\n(7) Isabella is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Victoria is a knight. No contradiction is found in their claim that Aria is a knave or Lily is a knight.", "Assume Aria is a knight. No contradiction is found in their claim that Evelyn is a knave if and only if Lily is a knave.", "Assume Evelyn is a knight. No contradiction is found in their claim that Sebastian is not a knave.", "Sebastian cannot be a knight, because this would contradict the claim of their own that Victoria is not a knight.", "Sebastian cannot be a knave, because this would contradict the claim of Evelyn that Sebastian is not a knave.", "We have exhausted all possibilities for Sebastian, so let us go back and reconsider Evelyn.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Sebastian is not a knave.", "Sebastian cannot be a knight, because this would contradict the false claim of Evelyn that Sebastian is not a knave.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Victoria is not a knight.", "Lily cannot be a knight, because this would contradict the claim of Aria that Evelyn is a knave if and only if Lily is a knave.", "Lily cannot be a knave, because this would contradict the claim of Victoria that Aria is a knave or Lily is a knight.", "We have exhausted all possibilities for Lily, Sebastian, and Evelyn, so let us go back and reconsider Aria.", "Assume Aria is a knave. No contradiction is found in their false claim that Evelyn is a knave if and only if Lily is a knave.", "Assume Evelyn is a knight. No contradiction is found in their claim that Sebastian is not a knave.", "Sebastian cannot be a knight, because this would contradict the claim of their own that Victoria is not a knight.", "Sebastian cannot be a knave, because this would contradict the claim of Evelyn that Sebastian is not a knave.", "We have exhausted all possibilities for Sebastian, so let us go back and reconsider Evelyn.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Sebastian is not a knave.", "Sebastian cannot be a knight, because this would contradict the false claim of Evelyn that Sebastian is not a knave.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Victoria is not a knight.", "Assume Lily is a knight. No contradiction is found in their claim that If Sebastian is a knave then Isabella is a knave.", "Isabella cannot be a knight, because this would contradict the claim of Lily that If Sebastian is a knave then Isabella is a knave.", "Assume Isabella is a knave. No contradiction is found in their false claim that Mason is a knave or Isabella is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that Isabella is a knave if and only if Lily is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 4), ('telling-truth', 5)), ('not', ('lying', 3)), ('<=>', ('lying', 6), ('telling-truth', 5)), ('not', ('telling-truth', 0)), ('<=>', ('lying', 1), ('lying', 5)), ('->', ('lying', 3), ('lying', 6)), ('or', ('lying', 2), ('telling-truth', 6)))", "index": 387}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Riley, Harper, Zoey, Alexander, Elizabeth, Victoria, and Emma. Riley was heard saying, \"If Harper is a knight then Alexander is a knight\". In Harper's words: \"Alexander is a knight and Elizabeth is a knight\". In a statement by Zoey: \"Alexander is a knight and Elizabeth is a knight\". Alexander told you that Victoria is a knight. \"Riley is a knight if and only if Zoey is a knave,\" Elizabeth mentioned. \"If Zoey is a knave then Riley is a knave,\" Victoria declared. Emma remarked, \"If Zoey is a knave then Zoey is a knight\". So who is a knight and who is a knave?", "names": ["Riley", "Harper", "Zoey", "Alexander", "Elizabeth", "Victoria", "Emma"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false, true, false, false], "solution_text": "Riley is a knight, Harper is a knave, Zoey is a knave, Alexander is a knave, Elizabeth is a knight, Victoria is a knave, and Emma is a knave.", "solution_text_format": "(1) Riley is a knight\n(2) Harper is a knave\n(3) Zoey is a knave\n(4) Alexander is a knave\n(5) Elizabeth is a knight\n(6) Victoria is a knave\n(7) Emma is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Riley is a knight. No contradiction is found in their claim that If Harper is a knight then Alexander is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that Alexander is a knight and Elizabeth is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that Victoria is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that If Zoey is a knave then Riley is a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that Alexander is a knight and Elizabeth is a knight.", "Elizabeth cannot be a knight, because this would contradict the claim of their own that Riley is a knight if and only if Zoey is a knave.", "Elizabeth cannot be a knave, because this would contradict the claim of Harper that Alexander is a knight and Elizabeth is a knight.", "We have exhausted all possibilities for Elizabeth, so let us go back and reconsider Zoey.", "Zoey cannot be a knave, because this would contradict the claim of Victoria that If Zoey is a knave then Riley is a knave.", "We have exhausted all possibilities for Zoey, so let us go back and reconsider Victoria.", "Victoria cannot be a knave, because this would contradict the claim of Alexander that Victoria is a knight.", "We have exhausted all possibilities for Victoria, so let us go back and reconsider Alexander.", "Alexander cannot be a knave, because this would contradict the claim of Riley that If Harper is a knight then Alexander is a knight.", "We have exhausted all possibilities for Alexander, so let us go back and reconsider Harper.", "Assume Harper is a knave. No contradiction is found in their false claim that Alexander is a knight and Elizabeth is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that Victoria is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that If Zoey is a knave then Riley is a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that Alexander is a knight and Elizabeth is a knight.", "Elizabeth cannot be a knight, because this would contradict the false claim of Harper that Alexander is a knight and Elizabeth is a knight.", "Elizabeth cannot be a knave, because this would contradict the claim of Zoey that Alexander is a knight and Elizabeth is a knight.", "We have exhausted all possibilities for Elizabeth, so let us go back and reconsider Zoey.", "Zoey cannot be a knave, because this would contradict the claim of Victoria that If Zoey is a knave then Riley is a knave.", "We have exhausted all possibilities for Zoey, so let us go back and reconsider Victoria.", "Victoria cannot be a knave, because this would contradict the claim of Alexander that Victoria is a knight.", "We have exhausted all possibilities for Victoria, so let us go back and reconsider Alexander.", "Assume Alexander is a knave. No contradiction is found in their false claim that Victoria is a knight.", "Victoria cannot be a knight, because this would contradict the false claim of Alexander that Victoria is a knight.", "Assume Victoria is a knave. No contradiction is found in their false claim that If Zoey is a knave then Riley is a knave.", "Zoey cannot be a knight, because this would contradict the claim of their own that Alexander is a knight and Elizabeth is a knight.", "Assume Zoey is a knave. No contradiction is found in their false claim that Alexander is a knight and Elizabeth is a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Riley is a knight if and only if Zoey is a knave.", "Emma cannot be a knight, because this would contradict the claim of their own that If Zoey is a knave then Zoey is a knight.", "Assume Emma is a knave. No contradiction is found in their false claim that If Zoey is a knave then Zoey is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 1), ('telling-truth', 3)), ('and', ('telling-truth', 3), ('telling-truth', 4)), ('and', ('telling-truth', 3), ('telling-truth', 4)), ('telling-truth', 5), ('<=>', ('telling-truth', 0), ('lying', 2)), ('->', ('lying', 2), ('lying', 0)), ('->', ('lying', 2), ('telling-truth', 2)))", "index": 388}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Victoria, Penelope, Sebastian, Aurora, Noah, Emma, and Jackson. Victoria expressed that Noah is a knave. \"Noah is a knave,\" Penelope claimed. According to Sebastian, \"Emma is a knave\". \"Noah is a knight and Emma is a knight\" - Aurora. Noah said that Sebastian is a knave. As Emma put it, \"Aurora is a knight and Sebastian is a knight\". Jackson said, \"Emma is a knight.\" So who is a knight and who is a knave?", "names": ["Victoria", "Penelope", "Sebastian", "Aurora", "Noah", "Emma", "Jackson"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false, false, false, false], "solution_text": "Victoria is a knight, Penelope is a knight, Sebastian is a knight, Aurora is a knave, Noah is a knave, Emma is a knave, and Jackson is a knave.", "solution_text_format": "(1) Victoria is a knight\n(2) Penelope is a knight\n(3) Sebastian is a knight\n(4) Aurora is a knave\n(5) Noah is a knave\n(6) Emma is a knave\n(7) Jackson is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Victoria is a knight. No contradiction is found in their claim that Noah is a knave.", "Noah cannot be a knight, because this would contradict the claim of Victoria that Noah is a knave.", "Assume Noah is a knave. No contradiction is found in their false claim that Sebastian is a knave.", "Assume Sebastian is a knight. No contradiction is found in their claim that Emma is a knave.", "Emma cannot be a knight, because this would contradict the claim of Sebastian that Emma is a knave.", "Assume Emma is a knave. No contradiction is found in their false claim that Aurora is a knight and Sebastian is a knight.", "Aurora cannot be a knight, because this would contradict the claim of their own that Noah is a knight and Emma is a knight.", "Assume Aurora is a knave. No contradiction is found in their false claim that Noah is a knight and Emma is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that Noah is a knave.", "Jackson cannot be a knight, because this would contradict the claim of their own that Emma is a knight.", "Assume Jackson is a knave. No contradiction is found in their false claim that Emma is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 4), ('lying', 4), ('lying', 5), ('and', ('telling-truth', 4), ('telling-truth', 5)), ('lying', 2), ('and', ('telling-truth', 3), ('telling-truth', 2)), ('telling-truth', 5))", "index": 389}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Luke, Ava, Victoria, Harper, Sophia, Sofia, and Charlotte. Luke noted, \"Sofia is a knight or Sofia is a knave\". In a statement by Ava: \"If Sofia is a knight then Luke is a knight\". Victoria stated, \"Harper is a knave and Charlotte is a knight\". Harper told you that Ava is a knight if and only if Sophia is a knave. Sophia told you that Sofia is a knight. As Sofia put it, \"Luke is a knight or Charlotte is a knight\". Charlotte noted, \"Sofia is a knight or Charlotte is a knight\". So who is a knight and who is a knave?", "names": ["Luke", "Ava", "Victoria", "Harper", "Sophia", "Sofia", "Charlotte"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false, true, true, true], "solution_text": "Luke is a knight, Ava is a knight, Victoria is a knight, Harper is a knave, Sophia is a knight, Sofia is a knight, and Charlotte is a knight.", "solution_text_format": "(1) Luke is a knight\n(2) Ava is a knight\n(3) Victoria is a knight\n(4) Harper is a knave\n(5) Sophia is a knight\n(6) Sofia is a knight\n(7) Charlotte is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Luke is a knight. No contradiction is found in their claim that Sofia is a knight or Sofia is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that Luke is a knight or Charlotte is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that Sofia is a knight or Charlotte is a knight.", "Assume Ava is a knight. No contradiction is found in their claim that If Sofia is a knight then Luke is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that Harper is a knave and Charlotte is a knight.", "Harper cannot be a knight, because this would contradict the claim of Victoria that Harper is a knave and Charlotte is a knight.", "Assume Harper is a knave. No contradiction is found in their false claim that Ava is a knight if and only if Sophia is a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that Sofia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 5), ('lying', 5)), ('->', ('telling-truth', 5), ('telling-truth', 0)), ('and', ('lying', 3), ('telling-truth', 6)), ('<=>', ('telling-truth', 1), ('lying', 4)), ('telling-truth', 5), ('or', ('telling-truth', 0), ('telling-truth', 6)), ('or', ('telling-truth', 5), ('telling-truth', 6)))", "index": 390}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: David, Lucas, Daniel, Sofia, William, Riley, and Sebastian. David expressed that Sebastian is a knight. Lucas asserted: \"Sebastian is a knave if and only if William is a knight\". According to Daniel, \"William is a knave\". \"William is a knight\" - Sofia. William said, \"Riley is not a knight.\" \"Sofia is a knight if and only if Lucas is a knave,\" Riley declared. Sebastian expressed that Sofia is a knight and David is a knight. So who is a knight and who is a knave?", "names": ["David", "Lucas", "Daniel", "Sofia", "William", "Riley", "Sebastian"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true, true, false, false], "solution_text": "David is a knave, Lucas is a knight, Daniel is a knave, Sofia is a knight, William is a knight, Riley is a knave, and Sebastian is a knave.", "solution_text_format": "(1) David is a knave\n(2) Lucas is a knight\n(3) Daniel is a knave\n(4) Sofia is a knight\n(5) William is a knight\n(6) Riley is a knave\n(7) Sebastian is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume David is a knight. No contradiction is found in their claim that Sebastian is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Sofia is a knight and David is a knight.", "Assume Sofia is a knight. No contradiction is found in their claim that William is a knight.", "Assume William is a knight. No contradiction is found in their claim that Riley is not a knight.", "Riley cannot be a knight, because this would contradict the claim of William that Riley is not a knight.", "Assume Riley is a knave. No contradiction is found in their false claim that Sofia is a knight if and only if Lucas is a knave.", "Lucas cannot be a knight, because this would contradict the claim of their own that Sebastian is a knave if and only if William is a knight.", "Lucas cannot be a knave, because this would contradict the false claim of Riley that Sofia is a knight if and only if Lucas is a knave.", "We have exhausted all possibilities for Lucas and Riley, so let us go back and reconsider William.", "William cannot be a knave, because this would contradict the claim of Sofia that William is a knight.", "We have exhausted all possibilities for William, so let us go back and reconsider Sofia.", "Sofia cannot be a knave, because this would contradict the claim of Sebastian that Sofia is a knight and David is a knight.", "We have exhausted all possibilities for Sofia, so let us go back and reconsider Sebastian.", "Sebastian cannot be a knave, because this would contradict the claim of David that Sebastian is a knight.", "We have exhausted all possibilities for Sebastian, so let us go back and reconsider David.", "Assume David is a knave. No contradiction is found in their false claim that Sebastian is a knight.", "Sebastian cannot be a knight, because this would contradict the false claim of David that Sebastian is a knight.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Sofia is a knight and David is a knight.", "Assume Sofia is a knight. No contradiction is found in their claim that William is a knight.", "Assume William is a knight. No contradiction is found in their claim that Riley is not a knight.", "Riley cannot be a knight, because this would contradict the claim of William that Riley is not a knight.", "Assume Riley is a knave. No contradiction is found in their false claim that Sofia is a knight if and only if Lucas is a knave.", "Assume Lucas is a knight. No contradiction is found in their claim that Sebastian is a knave if and only if William is a knight.", "Daniel cannot be a knight, because this would contradict the claim of their own that William is a knave.", "Assume Daniel is a knave. No contradiction is found in their false claim that William is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 6), ('<=>', ('lying', 6), ('telling-truth', 4)), ('lying', 4), ('telling-truth', 4), ('not', ('telling-truth', 5)), ('<=>', ('telling-truth', 3), ('lying', 1)), ('and', ('telling-truth', 3), ('telling-truth', 0)))", "index": 391}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Michael, Jack, Amelia, Samuel, Henry, Benjamin, and Charlotte. Michael remarked, \"Benjamin is a knight and Henry is a knave\". According to Jack, \"If Michael is a knight then Benjamin is a knave\". Amelia expressed that Jack is a knave and Jack is a knight. Samuel asserted: \"Henry is a knave if and only if Henry is a knight\". Henry told you that If Amelia is a knight then Jack is a knave. Benjamin expressed that Michael is a knave. Charlotte was heard saying, \"Amelia is a knave\". So who is a knight and who is a knave?", "names": ["Michael", "Jack", "Amelia", "Samuel", "Henry", "Benjamin", "Charlotte"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false, true, true, true], "solution_text": "Michael is a knave, Jack is a knight, Amelia is a knave, Samuel is a knave, Henry is a knight, Benjamin is a knight, and Charlotte is a knight.", "solution_text_format": "(1) Michael is a knave\n(2) Jack is a knight\n(3) Amelia is a knave\n(4) Samuel is a knave\n(5) Henry is a knight\n(6) Benjamin is a knight\n(7) Charlotte is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Michael is a knight. No contradiction is found in their claim that Benjamin is a knight and Henry is a knave.", "Benjamin cannot be a knight, because this would contradict the claim of their own that Michael is a knave.", "Benjamin cannot be a knave, because this would contradict the claim of Michael that Benjamin is a knight and Henry is a knave.", "We have exhausted all possibilities for Benjamin, so let us go back and reconsider Michael.", "Assume Michael is a knave. No contradiction is found in their false claim that Benjamin is a knight and Henry is a knave.", "Assume Benjamin is a knight. No contradiction is found in their claim that Michael is a knave.", "Assume Henry is a knight. No contradiction is found in their claim that If Amelia is a knight then Jack is a knave.", "Amelia cannot be a knight, because this would contradict the claim of their own that Jack is a knave and Jack is a knight.", "Assume Amelia is a knave. No contradiction is found in their false claim that Jack is a knave and Jack is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that If Michael is a knight then Benjamin is a knave.", "Samuel cannot be a knight, because this would contradict the claim of their own that Henry is a knave if and only if Henry is a knight.", "Assume Samuel is a knave. No contradiction is found in their false claim that Henry is a knave if and only if Henry is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that Amelia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 5), ('lying', 4)), ('->', ('telling-truth', 0), ('lying', 5)), ('and', ('lying', 1), ('telling-truth', 1)), ('<=>', ('lying', 4), ('telling-truth', 4)), ('->', ('telling-truth', 2), ('lying', 1)), ('lying', 0), ('lying', 2))", "index": 392}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Sofia, Jacob, Evelyn, Victoria, Elizabeth, Owen, and Olivia. As Sofia put it, \"Jacob is a knight if and only if Olivia is a knave\". Jacob expressed that Victoria is a knave or Elizabeth is a knight. In Evelyn's words: \"Owen is a knight\". Victoria said that Olivia is a knight. As Elizabeth put it, \"Evelyn is a knight and Jacob is a knight\". Owen commented, \"Sofia is a knight\". \"Sofia is a knight if and only if Owen is a knave,\" Olivia declared. So who is a knight and who is a knave?", "names": ["Sofia", "Jacob", "Evelyn", "Victoria", "Elizabeth", "Owen", "Olivia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false, true, true, false], "solution_text": "Sofia is a knight, Jacob is a knight, Evelyn is a knight, Victoria is a knave, Elizabeth is a knight, Owen is a knight, and Olivia is a knave.", "solution_text_format": "(1) Sofia is a knight\n(2) Jacob is a knight\n(3) Evelyn is a knight\n(4) Victoria is a knave\n(5) Elizabeth is a knight\n(6) Owen is a knight\n(7) Olivia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sofia is a knight. No contradiction is found in their claim that Jacob is a knight if and only if Olivia is a knave.", "Assume Jacob is a knight. No contradiction is found in their claim that Victoria is a knave or Elizabeth is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that Olivia is a knight.", "Olivia cannot be a knight, because this would contradict the claim of Sofia that Jacob is a knight if and only if Olivia is a knave.", "Olivia cannot be a knave, because this would contradict the claim of Victoria that Olivia is a knight.", "We have exhausted all possibilities for Olivia, so let us go back and reconsider Victoria.", "Assume Victoria is a knave. No contradiction is found in their false claim that Olivia is a knight.", "Olivia cannot be a knight, because this would contradict the claim of Sofia that Jacob is a knight if and only if Olivia is a knave.", "Assume Olivia is a knave. No contradiction is found in their false claim that Sofia is a knight if and only if Owen is a knave.", "Assume Owen is a knight. No contradiction is found in their claim that Sofia is a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Evelyn is a knight and Jacob is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that Owen is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('lying', 6)), ('or', ('lying', 3), ('telling-truth', 4)), ('telling-truth', 5), ('telling-truth', 6), ('and', ('telling-truth', 2), ('telling-truth', 1)), ('telling-truth', 0), ('<=>', ('telling-truth', 0), ('lying', 5)))", "index": 393}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Ethan, Jack, Grace, Aiden, Matthew, Victoria, and Emma. Ethan said, \"Emma is a knight if and only if Victoria is a knave.\" Jack commented, \"Ethan is a knight or Aiden is a knave\". Grace stated, \"Emma is a knave and Aiden is a knave\". According to Aiden, \"Ethan is not a knight\". As Matthew put it, \"Emma is a knight or Grace is a knave\". Victoria said, \"Jack is not a knave.\" In a statement by Emma: \"Ethan is not a knave\". So who is a knight and who is a knave?", "names": ["Ethan", "Jack", "Grace", "Aiden", "Matthew", "Victoria", "Emma"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true, true, false, false], "solution_text": "Ethan is a knave, Jack is a knave, Grace is a knave, Aiden is a knight, Matthew is a knight, Victoria is a knave, and Emma is a knave.", "solution_text_format": "(1) Ethan is a knave\n(2) Jack is a knave\n(3) Grace is a knave\n(4) Aiden is a knight\n(5) Matthew is a knight\n(6) Victoria is a knave\n(7) Emma is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ethan is a knight. No contradiction is found in their claim that Emma is a knight if and only if Victoria is a knave.", "Assume Emma is a knight. No contradiction is found in their claim that Ethan is not a knave.", "Victoria cannot be a knight, because this would contradict the claim of Ethan that Emma is a knight if and only if Victoria is a knave.", "Assume Victoria is a knave. No contradiction is found in their false claim that Jack is not a knave.", "Jack cannot be a knight, because this would contradict the false claim of Victoria that Jack is not a knave.", "Jack cannot be a knave, because this would contradict the false claim of their own that Ethan is a knight or Aiden is a knave.", "We have exhausted all possibilities for Jack and Victoria, so let us go back and reconsider Emma.", "Emma cannot be a knave, because this would contradict the false claim of their own that Ethan is not a knave.", "We have exhausted all possibilities for Emma, so let us go back and reconsider Ethan.", "Assume Ethan is a knave. No contradiction is found in their false claim that Emma is a knight if and only if Victoria is a knave.", "Emma cannot be a knight, because this would contradict the claim of their own that Ethan is not a knave.", "Assume Emma is a knave. No contradiction is found in their false claim that Ethan is not a knave.", "Victoria cannot be a knight, because this would contradict the false claim of Ethan that Emma is a knight if and only if Victoria is a knave.", "Assume Victoria is a knave. No contradiction is found in their false claim that Jack is not a knave.", "Jack cannot be a knight, because this would contradict the false claim of Victoria that Jack is not a knave.", "Assume Jack is a knave. No contradiction is found in their false claim that Ethan is a knight or Aiden is a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that Ethan is not a knight.", "Grace cannot be a knight, because this would contradict the claim of their own that Emma is a knave and Aiden is a knave.", "Assume Grace is a knave. No contradiction is found in their false claim that Emma is a knave and Aiden is a knave.", "Assume Matthew is a knight. No contradiction is found in their claim that Emma is a knight or Grace is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 6), ('lying', 5)), ('or', ('telling-truth', 0), ('lying', 3)), ('and', ('lying', 6), ('lying', 3)), ('not', ('telling-truth', 0)), ('or', ('telling-truth', 6), ('lying', 2)), ('not', ('lying', 1)), ('not', ('lying', 0)))", "index": 394}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Riley, Grace, Lucas, Olivia, Ava, James, and Zoey. Riley noted, \"Grace is not a knight\". Grace expressed that Olivia is a knave if and only if Riley is a knave. In Lucas's words: \"Lucas is a knight if and only if Olivia is a knave\". In a statement by Olivia: \"If Zoey is a knight then Lucas is a knave\". Ava commented, \"Grace is not a knave\". James stated, \"Ava is a knave\". \"Ava is not a knave,\" Zoey declared. So who is a knight and who is a knave?", "names": ["Riley", "Grace", "Lucas", "Olivia", "Ava", "James", "Zoey"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false, true, false, true], "solution_text": "Riley is a knave, Grace is a knight, Lucas is a knight, Olivia is a knave, Ava is a knight, James is a knave, and Zoey is a knight.", "solution_text_format": "(1) Riley is a knave\n(2) Grace is a knight\n(3) Lucas is a knight\n(4) Olivia is a knave\n(5) Ava is a knight\n(6) James is a knave\n(7) Zoey is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Riley is a knight. No contradiction is found in their claim that Grace is not a knight.", "Grace cannot be a knight, because this would contradict the claim of Riley that Grace is not a knight.", "Assume Grace is a knave. No contradiction is found in their false claim that Olivia is a knave if and only if Riley is a knave.", "Olivia cannot be a knight, because this would contradict the false claim of Grace that Olivia is a knave if and only if Riley is a knave.", "Assume Olivia is a knave. No contradiction is found in their false claim that If Zoey is a knight then Lucas is a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that Ava is not a knave.", "Ava cannot be a knight, because this would contradict the claim of their own that Grace is not a knave.", "Ava cannot be a knave, because this would contradict the claim of Zoey that Ava is not a knave.", "We have exhausted all possibilities for Ava, so let us go back and reconsider Zoey.", "Zoey cannot be a knave, because this would contradict the false claim of Olivia that If Zoey is a knight then Lucas is a knave.", "We have exhausted all possibilities for Zoey, Olivia, and Grace, so let us go back and reconsider Riley.", "Assume Riley is a knave. No contradiction is found in their false claim that Grace is not a knight.", "Assume Grace is a knight. No contradiction is found in their claim that Olivia is a knave if and only if Riley is a knave.", "Olivia cannot be a knight, because this would contradict the claim of Grace that Olivia is a knave if and only if Riley is a knave.", "Assume Olivia is a knave. No contradiction is found in their false claim that If Zoey is a knight then Lucas is a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that Ava is not a knave.", "Assume Ava is a knight. No contradiction is found in their claim that Grace is not a knave.", "Assume Lucas is a knight. No contradiction is found in their claim that Lucas is a knight if and only if Olivia is a knave.", "James cannot be a knight, because this would contradict the claim of their own that Ava is a knave.", "Assume James is a knave. No contradiction is found in their false claim that Ava is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('<=>', ('lying', 3), ('lying', 0)), ('<=>', ('telling-truth', 2), ('lying', 3)), ('->', ('telling-truth', 6), ('lying', 2)), ('not', ('lying', 1)), ('lying', 4), ('not', ('lying', 4)))", "index": 395}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Alexander, Aiden, Chloe, Olivia, Ethan, Aurora, and Riley. \"If Alexander is a knight then Ethan is a knight,\" Alexander claimed. According to Aiden, \"Riley is a knave if and only if Chloe is a knight\". \"Aiden is a knave or Alexander is a knave,\" Chloe mentioned. Olivia commented, \"Alexander is a knave if and only if Ethan is a knight\". As Ethan put it, \"Aurora is a knave or Alexander is a knight\". As Aurora put it, \"If Olivia is a knight then Alexander is a knave\". \"Aiden is a knave or Olivia is a knight,\" Riley declared. So who is a knight and who is a knave?", "names": ["Alexander", "Aiden", "Chloe", "Olivia", "Ethan", "Aurora", "Riley"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false, true, true, true], "solution_text": "Alexander is a knight, Aiden is a knave, Chloe is a knight, Olivia is a knave, Ethan is a knight, Aurora is a knight, and Riley is a knight.", "solution_text_format": "(1) Alexander is a knight\n(2) Aiden is a knave\n(3) Chloe is a knight\n(4) Olivia is a knave\n(5) Ethan is a knight\n(6) Aurora is a knight\n(7) Riley is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Alexander is a knight. No contradiction is found in their claim that If Alexander is a knight then Ethan is a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that Aurora is a knave or Alexander is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that If Olivia is a knight then Alexander is a knave.", "Olivia cannot be a knight, because this would contradict the claim of their own that Alexander is a knave if and only if Ethan is a knight.", "Assume Olivia is a knave. No contradiction is found in their false claim that Alexander is a knave if and only if Ethan is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that Riley is a knave if and only if Chloe is a knight.", "Riley cannot be a knight, because this would contradict the claim of their own that Aiden is a knave or Olivia is a knight.", "Assume Riley is a knave. No contradiction is found in their false claim that Aiden is a knave or Olivia is a knight.", "Chloe cannot be a knight, because this would contradict the claim of their own that Aiden is a knave or Alexander is a knave.", "Chloe cannot be a knave, because this would contradict the claim of Aiden that Riley is a knave if and only if Chloe is a knight.", "We have exhausted all possibilities for Chloe and Riley, so let us go back and reconsider Aiden.", "Assume Aiden is a knave. No contradiction is found in their false claim that Riley is a knave if and only if Chloe is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that Aiden is a knave or Olivia is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that Aiden is a knave or Alexander is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 0), ('telling-truth', 4)), ('<=>', ('lying', 6), ('telling-truth', 2)), ('or', ('lying', 1), ('lying', 0)), ('<=>', ('lying', 0), ('telling-truth', 4)), ('or', ('lying', 5), ('telling-truth', 0)), ('->', ('telling-truth', 3), ('lying', 0)), ('or', ('lying', 1), ('telling-truth', 3)))", "index": 396}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Jacob, Alexander, Chloe, Liam, James, Lucas, and Sebastian. \"James is a knave or Chloe is a knave,\" Jacob claimed. In a statement by Alexander: \"James is a knave\". \"Alexander is a knave or Jacob is a knave,\" Chloe mentioned. \"If Alexander is a knight then Lucas is a knave,\" Liam declared. \"Lucas is a knave if and only if Liam is a knight,\" James mentioned. Lucas told you that Sebastian is not a knight. \"Alexander is not a knight,\" Sebastian mentioned. So who is a knight and who is a knave?", "names": ["Jacob", "Alexander", "Chloe", "Liam", "James", "Lucas", "Sebastian"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true, true, false, true], "solution_text": "Jacob is a knave, Alexander is a knave, Chloe is a knight, Liam is a knight, James is a knight, Lucas is a knave, and Sebastian is a knight.", "solution_text_format": "(1) Jacob is a knave\n(2) Alexander is a knave\n(3) Chloe is a knight\n(4) Liam is a knight\n(5) James is a knight\n(6) Lucas is a knave\n(7) Sebastian is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jacob is a knight. No contradiction is found in their claim that James is a knave or Chloe is a knave.", "Assume James is a knight. No contradiction is found in their claim that Lucas is a knave if and only if Liam is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that Sebastian is not a knight.", "Sebastian cannot be a knight, because this would contradict the claim of Lucas that Sebastian is not a knight.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Alexander is not a knight.", "Alexander cannot be a knight, because this would contradict the claim of their own that James is a knave.", "Alexander cannot be a knave, because this would contradict the false claim of Sebastian that Alexander is not a knight.", "We have exhausted all possibilities for Alexander and Sebastian, so let us go back and reconsider Lucas.", "Assume Lucas is a knave. No contradiction is found in their false claim that Sebastian is not a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Alexander is not a knight.", "Alexander cannot be a knight, because this would contradict the claim of their own that James is a knave.", "Assume Alexander is a knave. No contradiction is found in their false claim that James is a knave.", "Assume Liam is a knight. No contradiction is found in their claim that If Alexander is a knight then Lucas is a knave.", "Chloe cannot be a knight, because this would contradict the claim of Jacob that James is a knave or Chloe is a knave.", "Chloe cannot be a knave, because this would contradict the false claim of their own that Alexander is a knave or Jacob is a knave.", "We have exhausted all possibilities for Chloe, so let us go back and reconsider Liam.", "Liam cannot be a knave, because this would contradict the false claim of their own that If Alexander is a knight then Lucas is a knave.", "We have exhausted all possibilities for Liam and Alexander, so let us go back and reconsider Sebastian.", "Sebastian cannot be a knave, because this would contradict the false claim of Lucas that Sebastian is not a knight.", "We have exhausted all possibilities for Sebastian and Lucas, so let us go back and reconsider James.", "Assume James is a knave. No contradiction is found in their false claim that Lucas is a knave if and only if Liam is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that Sebastian is not a knight.", "Sebastian cannot be a knight, because this would contradict the claim of Lucas that Sebastian is not a knight.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Alexander is not a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that James is a knave.", "Liam cannot be a knight, because this would contradict the claim of their own that If Alexander is a knight then Lucas is a knave.", "Liam cannot be a knave, because this would contradict the false claim of James that Lucas is a knave if and only if Liam is a knight.", "We have exhausted all possibilities for Liam, so let us go back and reconsider Alexander.", "Alexander cannot be a knave, because this would contradict the false claim of their own that James is a knave.", "We have exhausted all possibilities for Alexander and Sebastian, so let us go back and reconsider Lucas.", "Assume Lucas is a knave. No contradiction is found in their false claim that Sebastian is not a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Alexander is not a knight.", "Alexander cannot be a knight, because this would contradict the claim of Sebastian that Alexander is not a knight.", "Alexander cannot be a knave, because this would contradict the false claim of their own that James is a knave.", "We have exhausted all possibilities for Alexander, so let us go back and reconsider Sebastian.", "Sebastian cannot be a knave, because this would contradict the false claim of Lucas that Sebastian is not a knight.", "We have exhausted all possibilities for Sebastian, Lucas, and James, so let us go back and reconsider Jacob.", "Assume Jacob is a knave. No contradiction is found in their false claim that James is a knave or Chloe is a knave.", "Assume James is a knight. No contradiction is found in their claim that Lucas is a knave if and only if Liam is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that Sebastian is not a knight.", "Sebastian cannot be a knight, because this would contradict the claim of Lucas that Sebastian is not a knight.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Alexander is not a knight.", "Alexander cannot be a knight, because this would contradict the claim of their own that James is a knave.", "Alexander cannot be a knave, because this would contradict the false claim of Sebastian that Alexander is not a knight.", "We have exhausted all possibilities for Alexander and Sebastian, so let us go back and reconsider Lucas.", "Assume Lucas is a knave. No contradiction is found in their false claim that Sebastian is not a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Alexander is not a knight.", "Alexander cannot be a knight, because this would contradict the claim of their own that James is a knave.", "Assume Alexander is a knave. No contradiction is found in their false claim that James is a knave.", "Assume Liam is a knight. No contradiction is found in their claim that If Alexander is a knight then Lucas is a knave.", "Assume Chloe is a knight. No contradiction is found in their claim that Alexander is a knave or Jacob is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 4), ('lying', 2)), ('lying', 4), ('or', ('lying', 1), ('lying', 0)), ('->', ('telling-truth', 1), ('lying', 5)), ('<=>', ('lying', 5), ('telling-truth', 3)), ('not', ('telling-truth', 6)), ('not', ('telling-truth', 1)))", "index": 397}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Jack, Henry, Evelyn, Chloe, Isabella, Scarlett, and James. \"If James is a knight then Isabella is a knight,\" Jack declared. Henry asserted: \"Chloe is a knave if and only if James is a knight\". Evelyn was heard saying, \"James is a knight\". Chloe told you that Jack is a knight. In Isabella's words: \"If Evelyn is a knight then Scarlett is a knight\". \"Evelyn is a knave,\" Scarlett declared. James was heard saying, \"If Scarlett is a knave then Jack is a knave\". So who is a knight and who is a knave?", "names": ["Jack", "Henry", "Evelyn", "Chloe", "Isabella", "Scarlett", "James"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false, false, false, true], "solution_text": "Jack is a knave, Henry is a knight, Evelyn is a knight, Chloe is a knave, Isabella is a knave, Scarlett is a knave, and James is a knight.", "solution_text_format": "(1) Jack is a knave\n(2) Henry is a knight\n(3) Evelyn is a knight\n(4) Chloe is a knave\n(5) Isabella is a knave\n(6) Scarlett is a knave\n(7) James is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jack is a knight. No contradiction is found in their claim that If James is a knight then Isabella is a knight.", "Assume James is a knight. No contradiction is found in their claim that If Scarlett is a knave then Jack is a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that Evelyn is a knave.", "Evelyn cannot be a knight, because this would contradict the claim of Scarlett that Evelyn is a knave.", "Evelyn cannot be a knave, because this would contradict the false claim of their own that James is a knight.", "We have exhausted all possibilities for Evelyn, so let us go back and reconsider Scarlett.", "Scarlett cannot be a knave, because this would contradict the claim of James that If Scarlett is a knave then Jack is a knave.", "We have exhausted all possibilities for Scarlett, so let us go back and reconsider James.", "Assume James is a knave. No contradiction is found in their false claim that If Scarlett is a knave then Jack is a knave.", "Scarlett cannot be a knight, because this would contradict the false claim of James that If Scarlett is a knave then Jack is a knave.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Evelyn is a knave.", "Evelyn cannot be a knight, because this would contradict the claim of their own that James is a knight.", "Evelyn cannot be a knave, because this would contradict the false claim of Scarlett that Evelyn is a knave.", "We have exhausted all possibilities for Evelyn, Scarlett, and James, so let us go back and reconsider Jack.", "Assume Jack is a knave. No contradiction is found in their false claim that If James is a knight then Isabella is a knight.", "Assume James is a knight. No contradiction is found in their claim that If Scarlett is a knave then Jack is a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that Evelyn is a knave.", "Evelyn cannot be a knight, because this would contradict the claim of Scarlett that Evelyn is a knave.", "Evelyn cannot be a knave, because this would contradict the false claim of their own that James is a knight.", "We have exhausted all possibilities for Evelyn, so let us go back and reconsider Scarlett.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Evelyn is a knave.", "Assume Evelyn is a knight. No contradiction is found in their claim that James is a knight.", "Isabella cannot be a knight, because this would contradict the false claim of Jack that If James is a knight then Isabella is a knight.", "Assume Isabella is a knave. No contradiction is found in their false claim that If Evelyn is a knight then Scarlett is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that Chloe is a knave if and only if James is a knight.", "Chloe cannot be a knight, because this would contradict the claim of Henry that Chloe is a knave if and only if James is a knight.", "Assume Chloe is a knave. No contradiction is found in their false claim that Jack is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 6), ('telling-truth', 4)), ('<=>', ('lying', 3), ('telling-truth', 6)), ('telling-truth', 6), ('telling-truth', 0), ('->', ('telling-truth', 2), ('telling-truth', 5)), ('lying', 2), ('->', ('lying', 5), ('lying', 0)))", "index": 398}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Olivia, Aria, Emma, Mia, Sophia, Penelope, and Isabella. Olivia stated, \"Penelope is a knight if and only if Penelope is a knave\". \"If Isabella is a knight then Olivia is a knight\" - Aria. \"Mia is a knight or Sophia is a knave,\" Emma declared. \"If Sophia is a knave then Aria is a knave,\" Mia claimed. Sophia asserted: \"Mia is a knight and Olivia is a knight\". Penelope was heard saying, \"Aria is a knight and Aria is a knave\". Isabella said that If Penelope is a knight then Emma is a knight. So who is a knight and who is a knave?", "names": ["Olivia", "Aria", "Emma", "Mia", "Sophia", "Penelope", "Isabella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true, false, false, true], "solution_text": "Olivia is a knave, Aria is a knave, Emma is a knight, Mia is a knight, Sophia is a knave, Penelope is a knave, and Isabella is a knight.", "solution_text_format": "(1) Olivia is a knave\n(2) Aria is a knave\n(3) Emma is a knight\n(4) Mia is a knight\n(5) Sophia is a knave\n(6) Penelope is a knave\n(7) Isabella is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Olivia cannot be a knight, because this would contradict the claim of their own that Penelope is a knight if and only if Penelope is a knave.", "Assume Olivia is a knave. No contradiction is found in their false claim that Penelope is a knight if and only if Penelope is a knave.", "Penelope cannot be a knight, because this would contradict the claim of their own that Aria is a knight and Aria is a knave.", "Assume Penelope is a knave. No contradiction is found in their false claim that Aria is a knight and Aria is a knave.", "Assume Aria is a knight. No contradiction is found in their claim that If Isabella is a knight then Olivia is a knight.", "Isabella cannot be a knight, because this would contradict the claim of Aria that If Isabella is a knight then Olivia is a knight.", "Isabella cannot be a knave, because this would contradict the false claim of their own that If Penelope is a knight then Emma is a knight.", "We have exhausted all possibilities for Isabella, so let us go back and reconsider Aria.", "Assume Aria is a knave. No contradiction is found in their false claim that If Isabella is a knight then Olivia is a knight.", "Assume Isabella is a knight. No contradiction is found in their claim that If Penelope is a knight then Emma is a knight.", "Assume Emma is a knight. No contradiction is found in their claim that Mia is a knight or Sophia is a knave.", "Assume Mia is a knight. No contradiction is found in their claim that If Sophia is a knave then Aria is a knave.", "Sophia cannot be a knight, because this would contradict the claim of their own that Mia is a knight and Olivia is a knight.", "Assume Sophia is a knave. No contradiction is found in their false claim that Mia is a knight and Olivia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 5), ('lying', 5)), ('->', ('telling-truth', 6), ('telling-truth', 0)), ('or', ('telling-truth', 3), ('lying', 4)), ('->', ('lying', 4), ('lying', 1)), ('and', ('telling-truth', 3), ('telling-truth', 0)), ('and', ('telling-truth', 1), ('lying', 1)), ('->', ('telling-truth', 5), ('telling-truth', 2)))", "index": 399}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Sebastian, Lucas, Aiden, Avery, Mia, Liam, and Noah. In a statement by Sebastian: \"Liam is a knight or Liam is a knave\". Lucas was heard saying, \"Mia is a knave and Liam is a knight\". \"Noah is a knight and Liam is a knave,\" Aiden mentioned. Avery commented, \"Lucas is not a knight\". In a statement by Mia: \"If Liam is a knave then Lucas is a knave\". According to Liam, \"Avery is a knave if and only if Sebastian is a knight\". Noah asserted: \"If Liam is a knight then Mia is a knight\". So who is a knight and who is a knave?", "names": ["Sebastian", "Lucas", "Aiden", "Avery", "Mia", "Liam", "Noah"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, true, false, true], "solution_text": "Sebastian is a knight, Lucas is a knave, Aiden is a knight, Avery is a knight, Mia is a knight, Liam is a knave, and Noah is a knight.", "solution_text_format": "(1) Sebastian is a knight\n(2) Lucas is a knave\n(3) Aiden is a knight\n(4) Avery is a knight\n(5) Mia is a knight\n(6) Liam is a knave\n(7) Noah is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sebastian is a knight. No contradiction is found in their claim that Liam is a knight or Liam is a knave.", "Assume Liam is a knight. No contradiction is found in their claim that Avery is a knave if and only if Sebastian is a knight.", "Avery cannot be a knight, because this would contradict the claim of Liam that Avery is a knave if and only if Sebastian is a knight.", "Assume Avery is a knave. No contradiction is found in their false claim that Lucas is not a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that Mia is a knave and Liam is a knight.", "Mia cannot be a knight, because this would contradict the claim of Lucas that Mia is a knave and Liam is a knight.", "Mia cannot be a knave, because this would contradict the false claim of their own that If Liam is a knave then Lucas is a knave.", "We have exhausted all possibilities for Mia, so let us go back and reconsider Lucas.", "Lucas cannot be a knave, because this would contradict the false claim of Avery that Lucas is not a knight.", "We have exhausted all possibilities for Lucas and Avery, so let us go back and reconsider Liam.", "Assume Liam is a knave. No contradiction is found in their false claim that Avery is a knave if and only if Sebastian is a knight.", "Assume Avery is a knight. No contradiction is found in their claim that Lucas is not a knight.", "Lucas cannot be a knight, because this would contradict the claim of their own that Mia is a knave and Liam is a knight.", "Assume Lucas is a knave. No contradiction is found in their false claim that Mia is a knave and Liam is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that If Liam is a knave then Lucas is a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that Noah is a knight and Liam is a knave.", "Assume Noah is a knight. No contradiction is found in their claim that If Liam is a knight then Mia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 5), ('lying', 5)), ('and', ('lying', 4), ('telling-truth', 5)), ('and', ('telling-truth', 6), ('lying', 5)), ('not', ('telling-truth', 1)), ('->', ('lying', 5), ('lying', 1)), ('<=>', ('lying', 3), ('telling-truth', 0)), ('->', ('telling-truth', 5), ('telling-truth', 4)))", "index": 400}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Evelyn, Charlotte, Liam, Michael, Owen, Mia, and William. Evelyn noted, \"Owen is a knight or Liam is a knight\". Charlotte expressed that Michael is a knight or William is a knight. \"Owen is a knave,\" Liam claimed. Michael remarked, \"If Charlotte is a knave then Evelyn is a knight\". According to Owen, \"William is a knave or William is a knight\". Mia commented, \"Liam is not a knave\". William noted, \"If Liam is a knave then Evelyn is a knave\". So who is a knight and who is a knave?", "names": ["Evelyn", "Charlotte", "Liam", "Michael", "Owen", "Mia", "William"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true, true, false, false], "solution_text": "Evelyn is a knight, Charlotte is a knight, Liam is a knave, Michael is a knight, Owen is a knight, Mia is a knave, and William is a knave.", "solution_text_format": "(1) Evelyn is a knight\n(2) Charlotte is a knight\n(3) Liam is a knave\n(4) Michael is a knight\n(5) Owen is a knight\n(6) Mia is a knave\n(7) William is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Evelyn is a knight. No contradiction is found in their claim that Owen is a knight or Liam is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that William is a knave or William is a knight.", "Assume William is a knight. No contradiction is found in their claim that If Liam is a knave then Evelyn is a knave.", "Liam cannot be a knight, because this would contradict the claim of their own that Owen is a knave.", "Liam cannot be a knave, because this would contradict the claim of William that If Liam is a knave then Evelyn is a knave.", "We have exhausted all possibilities for Liam, so let us go back and reconsider William.", "Assume William is a knave. No contradiction is found in their false claim that If Liam is a knave then Evelyn is a knave.", "Liam cannot be a knight, because this would contradict the claim of their own that Owen is a knave.", "Assume Liam is a knave. No contradiction is found in their false claim that Owen is a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that Michael is a knight or William is a knight.", "Assume Michael is a knight. No contradiction is found in their claim that If Charlotte is a knave then Evelyn is a knight.", "Mia cannot be a knight, because this would contradict the claim of their own that Liam is not a knave.", "Assume Mia is a knave. No contradiction is found in their false claim that Liam is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 4), ('telling-truth', 2)), ('or', ('telling-truth', 3), ('telling-truth', 6)), ('lying', 4), ('->', ('lying', 1), ('telling-truth', 0)), ('or', ('lying', 6), ('telling-truth', 6)), ('not', ('lying', 2)), ('->', ('lying', 2), ('lying', 0)))", "index": 401}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Oliver, Alexander, Penelope, Mason, Ethan, Abigail, and Henry. Oliver stated, \"Abigail is not a knight\". \"Henry is a knight,\" Alexander declared. Penelope commented, \"Henry is a knave\". \"Henry is a knave if and only if Ethan is a knave\" - Mason. As Ethan put it, \"Abigail is a knave if and only if Mason is a knave\". \"Penelope is a knight or Oliver is a knave,\" Abigail claimed. \"Ethan is a knave,\" Henry claimed. So who is a knight and who is a knave?", "names": ["Oliver", "Alexander", "Penelope", "Mason", "Ethan", "Abigail", "Henry"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false, false, true, true], "solution_text": "Oliver is a knave, Alexander is a knight, Penelope is a knave, Mason is a knave, Ethan is a knave, Abigail is a knight, and Henry is a knight.", "solution_text_format": "(1) Oliver is a knave\n(2) Alexander is a knight\n(3) Penelope is a knave\n(4) Mason is a knave\n(5) Ethan is a knave\n(6) Abigail is a knight\n(7) Henry is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Oliver is a knight. No contradiction is found in their claim that Abigail is not a knight.", "Abigail cannot be a knight, because this would contradict the claim of Oliver that Abigail is not a knight.", "Assume Abigail is a knave. No contradiction is found in their false claim that Penelope is a knight or Oliver is a knave.", "Penelope cannot be a knight, because this would contradict the false claim of Abigail that Penelope is a knight or Oliver is a knave.", "Assume Penelope is a knave. No contradiction is found in their false claim that Henry is a knave.", "Assume Henry is a knight. No contradiction is found in their claim that Ethan is a knave.", "Ethan cannot be a knight, because this would contradict the claim of Henry that Ethan is a knave.", "Assume Ethan is a knave. No contradiction is found in their false claim that Abigail is a knave if and only if Mason is a knave.", "Mason cannot be a knight, because this would contradict the claim of their own that Henry is a knave if and only if Ethan is a knave.", "Mason cannot be a knave, because this would contradict the false claim of Ethan that Abigail is a knave if and only if Mason is a knave.", "We have exhausted all possibilities for Mason and Ethan, so let us go back and reconsider Henry.", "Henry cannot be a knave, because this would contradict the false claim of Penelope that Henry is a knave.", "We have exhausted all possibilities for Henry, Penelope, and Abigail, so let us go back and reconsider Oliver.", "Assume Oliver is a knave. No contradiction is found in their false claim that Abigail is not a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that Penelope is a knight or Oliver is a knave.", "Assume Penelope is a knight. No contradiction is found in their claim that Henry is a knave.", "Henry cannot be a knight, because this would contradict the claim of Penelope that Henry is a knave.", "Assume Henry is a knave. No contradiction is found in their false claim that Ethan is a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that Abigail is a knave if and only if Mason is a knave.", "Mason cannot be a knight, because this would contradict the claim of their own that Henry is a knave if and only if Ethan is a knave.", "Mason cannot be a knave, because this would contradict the claim of Ethan that Abigail is a knave if and only if Mason is a knave.", "We have exhausted all possibilities for Mason, so let us go back and reconsider Ethan.", "Ethan cannot be a knave, because this would contradict the false claim of Henry that Ethan is a knave.", "We have exhausted all possibilities for Ethan and Henry, so let us go back and reconsider Penelope.", "Assume Penelope is a knave. No contradiction is found in their false claim that Henry is a knave.", "Assume Henry is a knight. No contradiction is found in their claim that Ethan is a knave.", "Ethan cannot be a knight, because this would contradict the claim of Henry that Ethan is a knave.", "Assume Ethan is a knave. No contradiction is found in their false claim that Abigail is a knave if and only if Mason is a knave.", "Mason cannot be a knight, because this would contradict the claim of their own that Henry is a knave if and only if Ethan is a knave.", "Assume Mason is a knave. No contradiction is found in their false claim that Henry is a knave if and only if Ethan is a knave.", "Assume Alexander is a knight. No contradiction is found in their claim that Henry is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 5)), ('telling-truth', 6), ('lying', 6), ('<=>', ('lying', 6), ('lying', 4)), ('<=>', ('lying', 5), ('lying', 3)), ('or', ('telling-truth', 2), ('lying', 0)), ('lying', 4))", "index": 402}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Henry, Amelia, Sophia, Daniel, Harper, Ethan, and Benjamin. In Henry's words: \"Daniel is a knave or Ethan is a knave\". Amelia said that Sophia is a knight and Henry is a knight. \"Ethan is a knight and Sophia is a knight,\" Sophia claimed. \"Amelia is a knight or Henry is a knight\" - Daniel. Harper asserted: \"Benjamin is a knight\". \"If Sophia is a knave then Daniel is a knave\" - Ethan. Benjamin noted, \"Sophia is a knave\". So who is a knight and who is a knave?", "names": ["Henry", "Amelia", "Sophia", "Daniel", "Harper", "Ethan", "Benjamin"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, true, false, true], "solution_text": "Henry is a knight, Amelia is a knave, Sophia is a knave, Daniel is a knight, Harper is a knight, Ethan is a knave, and Benjamin is a knight.", "solution_text_format": "(1) Henry is a knight\n(2) Amelia is a knave\n(3) Sophia is a knave\n(4) Daniel is a knight\n(5) Harper is a knight\n(6) Ethan is a knave\n(7) Benjamin is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Henry is a knight. No contradiction is found in their claim that Daniel is a knave or Ethan is a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that Amelia is a knight or Henry is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that Sophia is a knight and Henry is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that Ethan is a knight and Sophia is a knight.", "Ethan cannot be a knight, because this would contradict the claim of Henry that Daniel is a knave or Ethan is a knave.", "Ethan cannot be a knave, because this would contradict the claim of Sophia that Ethan is a knight and Sophia is a knight.", "We have exhausted all possibilities for Ethan, so let us go back and reconsider Sophia.", "Sophia cannot be a knave, because this would contradict the claim of Amelia that Sophia is a knight and Henry is a knight.", "We have exhausted all possibilities for Sophia, so let us go back and reconsider Amelia.", "Assume Amelia is a knave. No contradiction is found in their false claim that Sophia is a knight and Henry is a knight.", "Sophia cannot be a knight, because this would contradict the false claim of Amelia that Sophia is a knight and Henry is a knight.", "Assume Sophia is a knave. No contradiction is found in their false claim that Ethan is a knight and Sophia is a knight.", "Ethan cannot be a knight, because this would contradict the claim of Henry that Daniel is a knave or Ethan is a knave.", "Assume Ethan is a knave. No contradiction is found in their false claim that If Sophia is a knave then Daniel is a knave.", "Assume Harper is a knight. No contradiction is found in their claim that Benjamin is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that Sophia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 3), ('lying', 5)), ('and', ('telling-truth', 2), ('telling-truth', 0)), ('and', ('telling-truth', 5), ('telling-truth', 2)), ('or', ('telling-truth', 1), ('telling-truth', 0)), ('telling-truth', 6), ('->', ('lying', 2), ('lying', 3)), ('lying', 2))", "index": 403}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Michael, Elizabeth, David, Evelyn, Benjamin, Olivia, and Joseph. \"Elizabeth is not a knave,\" Michael mentioned. Elizabeth stated, \"Joseph is not a knight\". According to David, \"If David is a knight then Evelyn is a knight\". Evelyn expressed that Evelyn is a knight if and only if Elizabeth is a knave. Benjamin was heard saying, \"Joseph is a knight or Olivia is a knight\". \"If Michael is a knave then David is a knave,\" Olivia mentioned. \"Evelyn is a knight and David is a knight,\" Joseph claimed. So who is a knight and who is a knave?", "names": ["Michael", "Elizabeth", "David", "Evelyn", "Benjamin", "Olivia", "Joseph"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true, true, false, true], "solution_text": "Michael is a knave, Elizabeth is a knave, David is a knight, Evelyn is a knight, Benjamin is a knight, Olivia is a knave, and Joseph is a knight.", "solution_text_format": "(1) Michael is a knave\n(2) Elizabeth is a knave\n(3) David is a knight\n(4) Evelyn is a knight\n(5) Benjamin is a knight\n(6) Olivia is a knave\n(7) Joseph is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Michael is a knight. No contradiction is found in their claim that Elizabeth is not a knave.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Joseph is not a knight.", "Joseph cannot be a knight, because this would contradict the claim of Elizabeth that Joseph is not a knight.", "Assume Joseph is a knave. No contradiction is found in their false claim that Evelyn is a knight and David is a knight.", "Evelyn cannot be a knight, because this would contradict the claim of their own that Evelyn is a knight if and only if Elizabeth is a knave.", "Evelyn cannot be a knave, because this would contradict the false claim of their own that Evelyn is a knight if and only if Elizabeth is a knave.", "We have exhausted all possibilities for Evelyn and Joseph, so let us go back and reconsider Elizabeth.", "Elizabeth cannot be a knave, because this would contradict the claim of Michael that Elizabeth is not a knave.", "We have exhausted all possibilities for Elizabeth, so let us go back and reconsider Michael.", "Assume Michael is a knave. No contradiction is found in their false claim that Elizabeth is not a knave.", "Elizabeth cannot be a knight, because this would contradict the false claim of Michael that Elizabeth is not a knave.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Joseph is not a knight.", "Assume Joseph is a knight. No contradiction is found in their claim that Evelyn is a knight and David is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that Evelyn is a knight if and only if Elizabeth is a knave.", "Assume David is a knight. No contradiction is found in their claim that If David is a knight then Evelyn is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that Joseph is a knight or Olivia is a knight.", "Olivia cannot be a knight, because this would contradict the claim of their own that If Michael is a knave then David is a knave.", "Assume Olivia is a knave. No contradiction is found in their false claim that If Michael is a knave then David is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 1)), ('not', ('telling-truth', 6)), ('->', ('telling-truth', 2), ('telling-truth', 3)), ('<=>', ('telling-truth', 3), ('lying', 1)), ('or', ('telling-truth', 6), ('telling-truth', 5)), ('->', ('lying', 0), ('lying', 2)), ('and', ('telling-truth', 3), ('telling-truth', 2)))", "index": 404}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Sofia, Luke, James, Isabella, Sophia, Scarlett, and Benjamin. Sofia expressed that Benjamin is a knave. In a statement by Luke: \"Sophia is a knight if and only if Scarlett is a knight\". As James put it, \"Benjamin is a knight or Benjamin is a knave\". In Isabella's words: \"Scarlett is a knight or Isabella is a knight\". Sophia expressed that Isabella is a knight and James is a knight. \"Luke is a knight if and only if James is a knave,\" Scarlett mentioned. \"Luke is a knave and Sofia is a knave,\" Benjamin declared. So who is a knight and who is a knave?", "names": ["Sofia", "Luke", "James", "Isabella", "Sophia", "Scarlett", "Benjamin"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false, false, false, false], "solution_text": "Sofia is a knight, Luke is a knight, James is a knight, Isabella is a knave, Sophia is a knave, Scarlett is a knave, and Benjamin is a knave.", "solution_text_format": "(1) Sofia is a knight\n(2) Luke is a knight\n(3) James is a knight\n(4) Isabella is a knave\n(5) Sophia is a knave\n(6) Scarlett is a knave\n(7) Benjamin is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sofia is a knight. No contradiction is found in their claim that Benjamin is a knave.", "Benjamin cannot be a knight, because this would contradict the claim of Sofia that Benjamin is a knave.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Luke is a knave and Sofia is a knave.", "Assume Luke is a knight. No contradiction is found in their claim that Sophia is a knight if and only if Scarlett is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that Isabella is a knight and James is a knight.", "Assume Isabella is a knight. No contradiction is found in their claim that Scarlett is a knight or Isabella is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that Luke is a knight if and only if James is a knave.", "James cannot be a knight, because this would contradict the claim of Scarlett that Luke is a knight if and only if James is a knave.", "James cannot be a knave, because this would contradict the false claim of their own that Benjamin is a knight or Benjamin is a knave.", "We have exhausted all possibilities for James, so let us go back and reconsider Scarlett.", "Scarlett cannot be a knave, because this would contradict the claim of Luke that Sophia is a knight if and only if Scarlett is a knight.", "We have exhausted all possibilities for Scarlett, so let us go back and reconsider Isabella.", "Isabella cannot be a knave, because this would contradict the claim of Sophia that Isabella is a knight and James is a knight.", "We have exhausted all possibilities for Isabella, so let us go back and reconsider Sophia.", "Assume Sophia is a knave. No contradiction is found in their false claim that Isabella is a knight and James is a knight.", "Assume Isabella is a knight. No contradiction is found in their claim that Scarlett is a knight or Isabella is a knight.", "Scarlett cannot be a knight, because this would contradict the claim of Luke that Sophia is a knight if and only if Scarlett is a knight.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Luke is a knight if and only if James is a knave.", "James cannot be a knight, because this would contradict the false claim of Sophia that Isabella is a knight and James is a knight.", "James cannot be a knave, because this would contradict the false claim of their own that Benjamin is a knight or Benjamin is a knave.", "We have exhausted all possibilities for James and Scarlett, so let us go back and reconsider Isabella.", "Assume Isabella is a knave. No contradiction is found in their false claim that Scarlett is a knight or Isabella is a knight.", "Scarlett cannot be a knight, because this would contradict the claim of Luke that Sophia is a knight if and only if Scarlett is a knight.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Luke is a knight if and only if James is a knave.", "Assume James is a knight. No contradiction is found in their claim that Benjamin is a knight or Benjamin is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 6), ('<=>', ('telling-truth', 4), ('telling-truth', 5)), ('or', ('telling-truth', 6), ('lying', 6)), ('or', ('telling-truth', 5), ('telling-truth', 3)), ('and', ('telling-truth', 3), ('telling-truth', 2)), ('<=>', ('telling-truth', 1), ('lying', 2)), ('and', ('lying', 1), ('lying', 0)))", "index": 405}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Lily, Luke, Michael, Henry, Sophia, Grace, and Liam. Lily said that If Sophia is a knight then Lily is a knight. In Luke's words: \"If Henry is a knave then Lily is a knight\". Michael told you that Lily is a knave. Henry expressed that Luke is not a knight. \"Liam is a knight and Michael is a knave,\" Sophia claimed. Grace said, \"Michael is a knave.\" Liam commented, \"Michael is a knave if and only if Grace is a knave\". So who is a knight and who is a knave?", "names": ["Lily", "Luke", "Michael", "Henry", "Sophia", "Grace", "Liam"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false, false, true, false], "solution_text": "Lily is a knight, Luke is a knight, Michael is a knave, Henry is a knave, Sophia is a knave, Grace is a knight, and Liam is a knave.", "solution_text_format": "(1) Lily is a knight\n(2) Luke is a knight\n(3) Michael is a knave\n(4) Henry is a knave\n(5) Sophia is a knave\n(6) Grace is a knight\n(7) Liam is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Lily is a knight. No contradiction is found in their claim that If Sophia is a knight then Lily is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that Liam is a knight and Michael is a knave.", "Assume Liam is a knight. No contradiction is found in their claim that Michael is a knave if and only if Grace is a knave.", "Michael cannot be a knight, because this would contradict the claim of their own that Lily is a knave.", "Assume Michael is a knave. No contradiction is found in their false claim that Lily is a knave.", "Grace cannot be a knight, because this would contradict the claim of Liam that Michael is a knave if and only if Grace is a knave.", "Grace cannot be a knave, because this would contradict the false claim of their own that Michael is a knave.", "We have exhausted all possibilities for Grace and Michael, so let us go back and reconsider Liam.", "Liam cannot be a knave, because this would contradict the claim of Sophia that Liam is a knight and Michael is a knave.", "We have exhausted all possibilities for Liam, so let us go back and reconsider Sophia.", "Assume Sophia is a knave. No contradiction is found in their false claim that Liam is a knight and Michael is a knave.", "Assume Liam is a knight. No contradiction is found in their claim that Michael is a knave if and only if Grace is a knave.", "Michael cannot be a knight, because this would contradict the claim of their own that Lily is a knave.", "Michael cannot be a knave, because this would contradict the false claim of Sophia that Liam is a knight and Michael is a knave.", "We have exhausted all possibilities for Michael, so let us go back and reconsider Liam.", "Assume Liam is a knave. No contradiction is found in their false claim that Michael is a knave if and only if Grace is a knave.", "Michael cannot be a knight, because this would contradict the claim of their own that Lily is a knave.", "Assume Michael is a knave. No contradiction is found in their false claim that Lily is a knave.", "Assume Grace is a knight. No contradiction is found in their claim that Michael is a knave.", "Assume Luke is a knight. No contradiction is found in their claim that If Henry is a knave then Lily is a knight.", "Henry cannot be a knight, because this would contradict the claim of their own that Luke is not a knight.", "Assume Henry is a knave. No contradiction is found in their false claim that Luke is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 4), ('telling-truth', 0)), ('->', ('lying', 3), ('telling-truth', 0)), ('lying', 0), ('not', ('telling-truth', 1)), ('and', ('telling-truth', 6), ('lying', 2)), ('lying', 2), ('<=>', ('lying', 2), ('lying', 5)))", "index": 406}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Isabella, Jacob, Zoey, Emma, Riley, Amelia, and Lily. \"Riley is a knave if and only if Amelia is a knight,\" Isabella mentioned. In a statement by Jacob: \"If Amelia is a knave then Lily is a knight\". In Zoey's words: \"Riley is a knight and Jacob is a knight\". \"Lily is not a knight,\" Emma mentioned. As Riley put it, \"Lily is a knight or Emma is a knave\". Amelia said, \"Riley is a knight and Zoey is a knave.\" According to Lily, \"Isabella is a knight or Jacob is a knave\". So who is a knight and who is a knave?", "names": ["Isabella", "Jacob", "Zoey", "Emma", "Riley", "Amelia", "Lily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false, true, false, true], "solution_text": "Isabella is a knight, Jacob is a knight, Zoey is a knight, Emma is a knave, Riley is a knight, Amelia is a knave, and Lily is a knight.", "solution_text_format": "(1) Isabella is a knight\n(2) Jacob is a knight\n(3) Zoey is a knight\n(4) Emma is a knave\n(5) Riley is a knight\n(6) Amelia is a knave\n(7) Lily is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Isabella is a knight. No contradiction is found in their claim that Riley is a knave if and only if Amelia is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that Lily is a knight or Emma is a knave.", "Assume Lily is a knight. No contradiction is found in their claim that Isabella is a knight or Jacob is a knave.", "Assume Jacob is a knight. No contradiction is found in their claim that If Amelia is a knave then Lily is a knight.", "Amelia cannot be a knight, because this would contradict the claim of Isabella that Riley is a knave if and only if Amelia is a knight.", "Assume Amelia is a knave. No contradiction is found in their false claim that Riley is a knight and Zoey is a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that Riley is a knight and Jacob is a knight.", "Emma cannot be a knight, because this would contradict the claim of their own that Lily is not a knight.", "Assume Emma is a knave. No contradiction is found in their false claim that Lily is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 4), ('telling-truth', 5)), ('->', ('lying', 5), ('telling-truth', 6)), ('and', ('telling-truth', 4), ('telling-truth', 1)), ('not', ('telling-truth', 6)), ('or', ('telling-truth', 6), ('lying', 3)), ('and', ('telling-truth', 4), ('lying', 2)), ('or', ('telling-truth', 0), ('lying', 1)))", "index": 407}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Daniel, Oliver, Scarlett, Amelia, Samuel, Sebastian, and Evelyn. According to Daniel, \"If Oliver is a knight then Evelyn is a knave\". \"If Sebastian is a knight then Daniel is a knight,\" Oliver declared. \"Evelyn is not a knave,\" Scarlett claimed. Amelia commented, \"Evelyn is a knave if and only if Samuel is a knave\". Samuel expressed that Oliver is a knight and Evelyn is a knight. Sebastian was heard saying, \"Scarlett is a knave or Daniel is a knight\". Evelyn expressed that Oliver is a knight or Daniel is a knave. So who is a knight and who is a knave?", "names": ["Daniel", "Oliver", "Scarlett", "Amelia", "Samuel", "Sebastian", "Evelyn"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, true, false, true], "solution_text": "Daniel is a knave, Oliver is a knight, Scarlett is a knight, Amelia is a knight, Samuel is a knight, Sebastian is a knave, and Evelyn is a knight.", "solution_text_format": "(1) Daniel is a knave\n(2) Oliver is a knight\n(3) Scarlett is a knight\n(4) Amelia is a knight\n(5) Samuel is a knight\n(6) Sebastian is a knave\n(7) Evelyn is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Daniel is a knight. No contradiction is found in their claim that If Oliver is a knight then Evelyn is a knave.", "Assume Oliver is a knight. No contradiction is found in their claim that If Sebastian is a knight then Daniel is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Scarlett is a knave or Daniel is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that Evelyn is not a knave.", "Evelyn cannot be a knight, because this would contradict the claim of Daniel that If Oliver is a knight then Evelyn is a knave.", "Evelyn cannot be a knave, because this would contradict the claim of Scarlett that Evelyn is not a knave.", "We have exhausted all possibilities for Evelyn, so let us go back and reconsider Scarlett.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Evelyn is not a knave.", "Evelyn cannot be a knight, because this would contradict the claim of Daniel that If Oliver is a knight then Evelyn is a knave.", "Evelyn cannot be a knave, because this would contradict the false claim of their own that Oliver is a knight or Daniel is a knave.", "We have exhausted all possibilities for Evelyn and Scarlett, so let us go back and reconsider Sebastian.", "Sebastian cannot be a knave, because this would contradict the false claim of their own that Scarlett is a knave or Daniel is a knight.", "We have exhausted all possibilities for Sebastian, so let us go back and reconsider Oliver.", "Oliver cannot be a knave, because this would contradict the false claim of their own that If Sebastian is a knight then Daniel is a knight.", "We have exhausted all possibilities for Oliver, so let us go back and reconsider Daniel.", "Assume Daniel is a knave. No contradiction is found in their false claim that If Oliver is a knight then Evelyn is a knave.", "Assume Oliver is a knight. No contradiction is found in their claim that If Sebastian is a knight then Daniel is a knight.", "Sebastian cannot be a knight, because this would contradict the claim of Oliver that If Sebastian is a knight then Daniel is a knight.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Scarlett is a knave or Daniel is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that Evelyn is not a knave.", "Assume Evelyn is a knight. No contradiction is found in their claim that Oliver is a knight or Daniel is a knave.", "Assume Amelia is a knight. No contradiction is found in their claim that Evelyn is a knave if and only if Samuel is a knave.", "Assume Samuel is a knight. No contradiction is found in their claim that Oliver is a knight and Evelyn is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 1), ('lying', 6)), ('->', ('telling-truth', 5), ('telling-truth', 0)), ('not', ('lying', 6)), ('<=>', ('lying', 6), ('lying', 4)), ('and', ('telling-truth', 1), ('telling-truth', 6)), ('or', ('lying', 2), ('telling-truth', 0)), ('or', ('telling-truth', 1), ('lying', 0)))", "index": 408}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Alexander, Luke, Matthew, Charlotte, Chloe, Sofia, and Jack. Alexander said that If Charlotte is a knave then Luke is a knight. Luke remarked, \"Alexander is not a knave\". \"Chloe is a knave,\" Matthew mentioned. In Charlotte's words: \"Jack is a knight and Chloe is a knave\". Chloe noted, \"Jack is a knave\". Sofia remarked, \"Chloe is a knave\". Jack remarked, \"Charlotte is a knave if and only if Chloe is a knight\". So who is a knight and who is a knave?", "names": ["Alexander", "Luke", "Matthew", "Charlotte", "Chloe", "Sofia", "Jack"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, false, true, true], "solution_text": "Alexander is a knight, Luke is a knight, Matthew is a knight, Charlotte is a knight, Chloe is a knave, Sofia is a knight, and Jack is a knight.", "solution_text_format": "(1) Alexander is a knight\n(2) Luke is a knight\n(3) Matthew is a knight\n(4) Charlotte is a knight\n(5) Chloe is a knave\n(6) Sofia is a knight\n(7) Jack is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Alexander is a knight. No contradiction is found in their claim that If Charlotte is a knave then Luke is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that Jack is a knight and Chloe is a knave.", "Assume Jack is a knight. No contradiction is found in their claim that Charlotte is a knave if and only if Chloe is a knight.", "Chloe cannot be a knight, because this would contradict the claim of Charlotte that Jack is a knight and Chloe is a knave.", "Assume Chloe is a knave. No contradiction is found in their false claim that Jack is a knave.", "Assume Luke is a knight. No contradiction is found in their claim that Alexander is not a knave.", "Assume Matthew is a knight. No contradiction is found in their claim that Chloe is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that Chloe is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 3), ('telling-truth', 1)), ('not', ('lying', 0)), ('lying', 4), ('and', ('telling-truth', 6), ('lying', 4)), ('lying', 6), ('lying', 4), ('<=>', ('lying', 3), ('telling-truth', 4)))", "index": 409}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Victoria, Aiden, Jack, Liam, Charlotte, Owen, and Lily. \"If Owen is a knight then Aiden is a knave,\" Victoria declared. As Aiden put it, \"Jack is a knight and Jack is a knave\". According to Jack, \"Charlotte is a knave\". \"If Lily is a knave then Jack is a knight\" - Liam. In Charlotte's words: \"Jack is a knight or Lily is a knight\". \"Lily is not a knave\" - Owen. Lily commented, \"Aiden is not a knight\". So who is a knight and who is a knave?", "names": ["Victoria", "Aiden", "Jack", "Liam", "Charlotte", "Owen", "Lily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, true, true, true], "solution_text": "Victoria is a knight, Aiden is a knave, Jack is a knave, Liam is a knight, Charlotte is a knight, Owen is a knight, and Lily is a knight.", "solution_text_format": "(1) Victoria is a knight\n(2) Aiden is a knave\n(3) Jack is a knave\n(4) Liam is a knight\n(5) Charlotte is a knight\n(6) Owen is a knight\n(7) Lily is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Victoria is a knight. No contradiction is found in their claim that If Owen is a knight then Aiden is a knave.", "Assume Owen is a knight. No contradiction is found in their claim that Lily is not a knave.", "Assume Lily is a knight. No contradiction is found in their claim that Aiden is not a knight.", "Aiden cannot be a knight, because this would contradict the claim of Victoria that If Owen is a knight then Aiden is a knave.", "Assume Aiden is a knave. No contradiction is found in their false claim that Jack is a knight and Jack is a knave.", "Assume Jack is a knight. No contradiction is found in their claim that Charlotte is a knave.", "Charlotte cannot be a knight, because this would contradict the claim of Jack that Charlotte is a knave.", "Charlotte cannot be a knave, because this would contradict the false claim of their own that Jack is a knight or Lily is a knight.", "We have exhausted all possibilities for Charlotte, so let us go back and reconsider Jack.", "Assume Jack is a knave. No contradiction is found in their false claim that Charlotte is a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that Jack is a knight or Lily is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that If Lily is a knave then Jack is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 5), ('lying', 1)), ('and', ('telling-truth', 2), ('lying', 2)), ('lying', 4), ('->', ('lying', 6), ('telling-truth', 2)), ('or', ('telling-truth', 2), ('telling-truth', 6)), ('not', ('lying', 6)), ('not', ('telling-truth', 1)))", "index": 410}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Grace, Jackson, Elizabeth, Emily, Sophia, Evelyn, and Charlotte. Grace told you that Evelyn is a knight if and only if Evelyn is a knave. \"If Emily is a knave then Grace is a knave,\" Jackson claimed. \"Charlotte is a knave and Elizabeth is a knight,\" Elizabeth claimed. Emily noted, \"Jackson is a knave if and only if Elizabeth is a knight\". Sophia was heard saying, \"Grace is a knave\". Evelyn remarked, \"Emily is not a knave\". In a statement by Charlotte: \"Emily is a knave or Elizabeth is a knight\". So who is a knight and who is a knave?", "names": ["Grace", "Jackson", "Elizabeth", "Emily", "Sophia", "Evelyn", "Charlotte"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true, true, true, false], "solution_text": "Grace is a knave, Jackson is a knight, Elizabeth is a knave, Emily is a knight, Sophia is a knight, Evelyn is a knight, and Charlotte is a knave.", "solution_text_format": "(1) Grace is a knave\n(2) Jackson is a knight\n(3) Elizabeth is a knave\n(4) Emily is a knight\n(5) Sophia is a knight\n(6) Evelyn is a knight\n(7) Charlotte is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Grace cannot be a knight, because this would contradict the claim of their own that Evelyn is a knight if and only if Evelyn is a knave.", "Assume Grace is a knave. No contradiction is found in their false claim that Evelyn is a knight if and only if Evelyn is a knave.", "Assume Evelyn is a knight. No contradiction is found in their claim that Emily is not a knave.", "Assume Emily is a knight. No contradiction is found in their claim that Jackson is a knave if and only if Elizabeth is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that If Emily is a knave then Grace is a knave.", "Elizabeth cannot be a knight, because this would contradict the claim of Emily that Jackson is a knave if and only if Elizabeth is a knight.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Charlotte is a knave and Elizabeth is a knight.", "Charlotte cannot be a knight, because this would contradict the claim of their own that Emily is a knave or Elizabeth is a knight.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Emily is a knave or Elizabeth is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that Grace is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 5), ('lying', 5)), ('->', ('lying', 3), ('lying', 0)), ('and', ('lying', 6), ('telling-truth', 2)), ('<=>', ('lying', 1), ('telling-truth', 2)), ('lying', 0), ('not', ('lying', 3)), ('or', ('lying', 3), ('telling-truth', 2)))", "index": 411}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Zoey, David, Owen, Avery, Evelyn, Grace, and Aiden. Zoey said, \"Evelyn is a knight if and only if Avery is a knave.\" \"Avery is a knight if and only if Avery is a knave,\" David declared. Owen was heard saying, \"David is not a knight\". As Avery put it, \"If Owen is a knight then Evelyn is a knight\". \"Aiden is a knight if and only if Grace is a knave\" - Evelyn. \"Zoey is not a knight,\" Grace mentioned. In Aiden's words: \"Grace is not a knight\". So who is a knight and who is a knave?", "names": ["Zoey", "David", "Owen", "Avery", "Evelyn", "Grace", "Aiden"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true, true, true, false], "solution_text": "Zoey is a knave, David is a knave, Owen is a knight, Avery is a knight, Evelyn is a knight, Grace is a knight, and Aiden is a knave.", "solution_text_format": "(1) Zoey is a knave\n(2) David is a knave\n(3) Owen is a knight\n(4) Avery is a knight\n(5) Evelyn is a knight\n(6) Grace is a knight\n(7) Aiden is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Zoey is a knight. No contradiction is found in their claim that Evelyn is a knight if and only if Avery is a knave.", "Assume Evelyn is a knight. No contradiction is found in their claim that Aiden is a knight if and only if Grace is a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that Grace is not a knight.", "Grace cannot be a knight, because this would contradict the claim of Evelyn that Aiden is a knight if and only if Grace is a knave.", "Assume Grace is a knave. No contradiction is found in their false claim that Zoey is not a knight.", "Avery cannot be a knight, because this would contradict the claim of Zoey that Evelyn is a knight if and only if Avery is a knave.", "Avery cannot be a knave, because this would contradict the false claim of their own that If Owen is a knight then Evelyn is a knight.", "We have exhausted all possibilities for Avery and Grace, so let us go back and reconsider Aiden.", "Assume Aiden is a knave. No contradiction is found in their false claim that Grace is not a knight.", "Grace cannot be a knight, because this would contradict the claim of their own that Zoey is not a knight.", "Grace cannot be a knave, because this would contradict the claim of Evelyn that Aiden is a knight if and only if Grace is a knave.", "We have exhausted all possibilities for Grace and Aiden, so let us go back and reconsider Evelyn.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Aiden is a knight if and only if Grace is a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that Grace is not a knight.", "Grace cannot be a knight, because this would contradict the claim of their own that Zoey is not a knight.", "Grace cannot be a knave, because this would contradict the false claim of Evelyn that Aiden is a knight if and only if Grace is a knave.", "We have exhausted all possibilities for Grace, so let us go back and reconsider Aiden.", "Assume Aiden is a knave. No contradiction is found in their false claim that Grace is not a knight.", "Grace cannot be a knight, because this would contradict the false claim of Evelyn that Aiden is a knight if and only if Grace is a knave.", "Grace cannot be a knave, because this would contradict the false claim of Aiden that Grace is not a knight.", "We have exhausted all possibilities for Grace, Aiden, and Evelyn, so let us go back and reconsider Zoey.", "Assume Zoey is a knave. No contradiction is found in their false claim that Evelyn is a knight if and only if Avery is a knave.", "Assume Evelyn is a knight. No contradiction is found in their claim that Aiden is a knight if and only if Grace is a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that Grace is not a knight.", "Grace cannot be a knight, because this would contradict the claim of Evelyn that Aiden is a knight if and only if Grace is a knave.", "Grace cannot be a knave, because this would contradict the false claim of their own that Zoey is not a knight.", "We have exhausted all possibilities for Grace, so let us go back and reconsider Aiden.", "Assume Aiden is a knave. No contradiction is found in their false claim that Grace is not a knight.", "Assume Grace is a knight. No contradiction is found in their claim that Zoey is not a knight.", "Assume Avery is a knight. No contradiction is found in their claim that If Owen is a knight then Evelyn is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that David is not a knight.", "David cannot be a knight, because this would contradict the claim of their own that Avery is a knight if and only if Avery is a knave.", "Assume David is a knave. No contradiction is found in their false claim that Avery is a knight if and only if Avery is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 4), ('lying', 3)), ('<=>', ('telling-truth', 3), ('lying', 3)), ('not', ('telling-truth', 1)), ('->', ('telling-truth', 2), ('telling-truth', 4)), ('<=>', ('telling-truth', 6), ('lying', 5)), ('not', ('telling-truth', 0)), ('not', ('telling-truth', 5)))", "index": 412}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Emily, Isabella, Luke, Elizabeth, Henry, Owen, and Charlotte. Emily told you that Elizabeth is a knave and Henry is a knight. \"Owen is not a knight,\" Isabella mentioned. Luke was heard saying, \"Isabella is a knave\". \"Owen is a knight or Charlotte is a knave,\" Elizabeth mentioned. According to Henry, \"Owen is a knight or Charlotte is a knight\". In a statement by Owen: \"Emily is a knave or Luke is a knave\". \"Luke is not a knight,\" Charlotte mentioned. So who is a knight and who is a knave?", "names": ["Emily", "Isabella", "Luke", "Elizabeth", "Henry", "Owen", "Charlotte"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true, true, true, false], "solution_text": "Emily is a knave, Isabella is a knave, Luke is a knight, Elizabeth is a knight, Henry is a knight, Owen is a knight, and Charlotte is a knave.", "solution_text_format": "(1) Emily is a knave\n(2) Isabella is a knave\n(3) Luke is a knight\n(4) Elizabeth is a knight\n(5) Henry is a knight\n(6) Owen is a knight\n(7) Charlotte is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Emily is a knight. No contradiction is found in their claim that Elizabeth is a knave and Henry is a knight.", "Elizabeth cannot be a knight, because this would contradict the claim of Emily that Elizabeth is a knave and Henry is a knight.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Owen is a knight or Charlotte is a knave.", "Owen cannot be a knight, because this would contradict the false claim of Elizabeth that Owen is a knight or Charlotte is a knave.", "Assume Owen is a knave. No contradiction is found in their false claim that Emily is a knave or Luke is a knave.", "Assume Luke is a knight. No contradiction is found in their claim that Isabella is a knave.", "Isabella cannot be a knight, because this would contradict the claim of Luke that Isabella is a knave.", "Isabella cannot be a knave, because this would contradict the false claim of their own that Owen is not a knight.", "We have exhausted all possibilities for Isabella, so let us go back and reconsider Luke.", "Luke cannot be a knave, because this would contradict the false claim of Owen that Emily is a knave or Luke is a knave.", "We have exhausted all possibilities for Luke, Owen, and Elizabeth, so let us go back and reconsider Emily.", "Assume Emily is a knave. No contradiction is found in their false claim that Elizabeth is a knave and Henry is a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Owen is a knight or Charlotte is a knave.", "Assume Owen is a knight. No contradiction is found in their claim that Emily is a knave or Luke is a knave.", "Assume Luke is a knight. No contradiction is found in their claim that Isabella is a knave.", "Isabella cannot be a knight, because this would contradict the claim of their own that Owen is not a knight.", "Assume Isabella is a knave. No contradiction is found in their false claim that Owen is not a knight.", "Charlotte cannot be a knight, because this would contradict the claim of their own that Luke is not a knight.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Luke is not a knight.", "Assume Henry is a knight. No contradiction is found in their claim that Owen is a knight or Charlotte is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 3), ('telling-truth', 4)), ('not', ('telling-truth', 5)), ('lying', 1), ('or', ('telling-truth', 5), ('lying', 6)), ('or', ('telling-truth', 5), ('telling-truth', 6)), ('or', ('lying', 0), ('lying', 2)), ('not', ('telling-truth', 2)))", "index": 413}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Lucas, Benjamin, David, Jacob, Liam, Ava, and Penelope. \"Ava is a knave if and only if Liam is a knave,\" Lucas declared. In a statement by Benjamin: \"Benjamin is a knight and Jacob is a knight\". David remarked, \"Liam is a knight\". \"If David is a knight then Liam is a knave\" - Jacob. In a statement by Liam: \"Ava is a knight\". Ava noted, \"Benjamin is a knight\". Penelope said, \"Benjamin is a knave.\" So who is a knight and who is a knave?", "names": ["Lucas", "Benjamin", "David", "Jacob", "Liam", "Ava", "Penelope"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, false, false, true], "solution_text": "Lucas is a knight, Benjamin is a knave, David is a knave, Jacob is a knight, Liam is a knave, Ava is a knave, and Penelope is a knight.", "solution_text_format": "(1) Lucas is a knight\n(2) Benjamin is a knave\n(3) David is a knave\n(4) Jacob is a knight\n(5) Liam is a knave\n(6) Ava is a knave\n(7) Penelope is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Lucas is a knight. No contradiction is found in their claim that Ava is a knave if and only if Liam is a knave.", "Assume Ava is a knight. No contradiction is found in their claim that Benjamin is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that Benjamin is a knight and Jacob is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that If David is a knight then Liam is a knave.", "Assume David is a knight. No contradiction is found in their claim that Liam is a knight.", "Liam cannot be a knight, because this would contradict the claim of Jacob that If David is a knight then Liam is a knave.", "Liam cannot be a knave, because this would contradict the claim of Lucas that Ava is a knave if and only if Liam is a knave.", "We have exhausted all possibilities for Liam, so let us go back and reconsider David.", "Assume David is a knave. No contradiction is found in their false claim that Liam is a knight.", "Liam cannot be a knight, because this would contradict the false claim of David that Liam is a knight.", "Liam cannot be a knave, because this would contradict the claim of Lucas that Ava is a knave if and only if Liam is a knave.", "We have exhausted all possibilities for Liam and David, so let us go back and reconsider Jacob.", "Jacob cannot be a knave, because this would contradict the claim of Benjamin that Benjamin is a knight and Jacob is a knight.", "We have exhausted all possibilities for Jacob, so let us go back and reconsider Benjamin.", "Benjamin cannot be a knave, because this would contradict the claim of Ava that Benjamin is a knight.", "We have exhausted all possibilities for Benjamin, so let us go back and reconsider Ava.", "Assume Ava is a knave. No contradiction is found in their false claim that Benjamin is a knight.", "Benjamin cannot be a knight, because this would contradict the false claim of Ava that Benjamin is a knight.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Benjamin is a knight and Jacob is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that If David is a knight then Liam is a knave.", "Assume David is a knight. No contradiction is found in their claim that Liam is a knight.", "Liam cannot be a knight, because this would contradict the claim of Lucas that Ava is a knave if and only if Liam is a knave.", "Liam cannot be a knave, because this would contradict the claim of David that Liam is a knight.", "We have exhausted all possibilities for Liam, so let us go back and reconsider David.", "Assume David is a knave. No contradiction is found in their false claim that Liam is a knight.", "Liam cannot be a knight, because this would contradict the claim of Lucas that Ava is a knave if and only if Liam is a knave.", "Assume Liam is a knave. No contradiction is found in their false claim that Ava is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that Benjamin is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 5), ('lying', 4)), ('and', ('telling-truth', 1), ('telling-truth', 3)), ('telling-truth', 4), ('->', ('telling-truth', 2), ('lying', 4)), ('telling-truth', 5), ('telling-truth', 1), ('lying', 1))", "index": 414}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Scarlett, Emily, Avery, Abigail, Sofia, Chloe, and Ella. \"Chloe is a knight,\" Scarlett mentioned. \"Ella is a knave,\" Emily claimed. Avery said that Emily is a knight if and only if Emily is a knave. Abigail was heard saying, \"Scarlett is a knight or Emily is a knave\". \"Scarlett is a knight\" - Sofia. Chloe remarked, \"Chloe is a knight and Emily is a knave\". Ella expressed that Emily is a knave and Emily is a knight. So who is a knight and who is a knave?", "names": ["Scarlett", "Emily", "Avery", "Abigail", "Sofia", "Chloe", "Ella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false, false, false, false], "solution_text": "Scarlett is a knave, Emily is a knight, Avery is a knave, Abigail is a knave, Sofia is a knave, Chloe is a knave, and Ella is a knave.", "solution_text_format": "(1) Scarlett is a knave\n(2) Emily is a knight\n(3) Avery is a knave\n(4) Abigail is a knave\n(5) Sofia is a knave\n(6) Chloe is a knave\n(7) Ella is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Scarlett is a knight. No contradiction is found in their claim that Chloe is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that Chloe is a knight and Emily is a knave.", "Emily cannot be a knight, because this would contradict the claim of Chloe that Chloe is a knight and Emily is a knave.", "Assume Emily is a knave. No contradiction is found in their false claim that Ella is a knave.", "Ella cannot be a knight, because this would contradict the claim of their own that Emily is a knave and Emily is a knight.", "Ella cannot be a knave, because this would contradict the false claim of Emily that Ella is a knave.", "We have exhausted all possibilities for Ella and Emily, so let us go back and reconsider Chloe.", "Chloe cannot be a knave, because this would contradict the claim of Scarlett that Chloe is a knight.", "We have exhausted all possibilities for Chloe, so let us go back and reconsider Scarlett.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Chloe is a knight.", "Chloe cannot be a knight, because this would contradict the false claim of Scarlett that Chloe is a knight.", "Assume Chloe is a knave. No contradiction is found in their false claim that Chloe is a knight and Emily is a knave.", "Assume Emily is a knight. No contradiction is found in their claim that Ella is a knave.", "Ella cannot be a knight, because this would contradict the claim of Emily that Ella is a knave.", "Assume Ella is a knave. No contradiction is found in their false claim that Emily is a knave and Emily is a knight.", "Avery cannot be a knight, because this would contradict the claim of their own that Emily is a knight if and only if Emily is a knave.", "Assume Avery is a knave. No contradiction is found in their false claim that Emily is a knight if and only if Emily is a knave.", "Abigail cannot be a knight, because this would contradict the claim of their own that Scarlett is a knight or Emily is a knave.", "Assume Abigail is a knave. No contradiction is found in their false claim that Scarlett is a knight or Emily is a knave.", "Sofia cannot be a knight, because this would contradict the claim of their own that Scarlett is a knight.", "Assume Sofia is a knave. No contradiction is found in their false claim that Scarlett is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 5), ('lying', 6), ('<=>', ('telling-truth', 1), ('lying', 1)), ('or', ('telling-truth', 0), ('lying', 1)), ('telling-truth', 0), ('and', ('telling-truth', 5), ('lying', 1)), ('and', ('lying', 1), ('telling-truth', 1)))", "index": 415}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Ava, Amelia, Charlotte, Scarlett, Daniel, David, and Grace. Ava said, \"Grace is a knight or Amelia is a knave.\" Amelia expressed that Daniel is a knave or Grace is a knave. Charlotte stated, \"If David is a knave then Grace is a knave\". Scarlett remarked, \"If Ava is a knave then Daniel is a knight\". As Daniel put it, \"David is a knight if and only if Grace is a knight\". David was heard saying, \"Daniel is a knight\". Grace noted, \"David is not a knight\". So who is a knight and who is a knave?", "names": ["Ava", "Amelia", "Charlotte", "Scarlett", "Daniel", "David", "Grace"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true, false, false, true], "solution_text": "Ava is a knight, Amelia is a knight, Charlotte is a knave, Scarlett is a knight, Daniel is a knave, David is a knave, and Grace is a knight.", "solution_text_format": "(1) Ava is a knight\n(2) Amelia is a knight\n(3) Charlotte is a knave\n(4) Scarlett is a knight\n(5) Daniel is a knave\n(6) David is a knave\n(7) Grace is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ava is a knight. No contradiction is found in their claim that Grace is a knight or Amelia is a knave.", "Assume Grace is a knight. No contradiction is found in their claim that David is not a knight.", "David cannot be a knight, because this would contradict the claim of Grace that David is not a knight.", "Assume David is a knave. No contradiction is found in their false claim that Daniel is a knight.", "Daniel cannot be a knight, because this would contradict the claim of their own that David is a knight if and only if Grace is a knight.", "Assume Daniel is a knave. No contradiction is found in their false claim that David is a knight if and only if Grace is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that Daniel is a knave or Grace is a knave.", "Charlotte cannot be a knight, because this would contradict the claim of their own that If David is a knave then Grace is a knave.", "Assume Charlotte is a knave. No contradiction is found in their false claim that If David is a knave then Grace is a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that If Ava is a knave then Daniel is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 6), ('lying', 1)), ('or', ('lying', 4), ('lying', 6)), ('->', ('lying', 5), ('lying', 6)), ('->', ('lying', 0), ('telling-truth', 4)), ('<=>', ('telling-truth', 5), ('telling-truth', 6)), ('telling-truth', 4), ('not', ('telling-truth', 5)))", "index": 416}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Mia, Abigail, Emma, David, Mason, Victoria, and Daniel. Mia expressed that If Mason is a knave then Abigail is a knave. Abigail asserted: \"Daniel is not a knight\". \"Victoria is a knight if and only if Emma is a knight,\" Emma declared. As David put it, \"Abigail is not a knight\". Mason said, \"David is a knight and Victoria is a knave.\" Victoria expressed that Emma is a knight. Daniel told you that If Mason is a knight then Victoria is a knave. So who is a knight and who is a knave?", "names": ["Mia", "Abigail", "Emma", "David", "Mason", "Victoria", "Daniel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, false, true, true], "solution_text": "Mia is a knight, Abigail is a knave, Emma is a knight, David is a knight, Mason is a knave, Victoria is a knight, and Daniel is a knight.", "solution_text_format": "(1) Mia is a knight\n(2) Abigail is a knave\n(3) Emma is a knight\n(4) David is a knight\n(5) Mason is a knave\n(6) Victoria is a knight\n(7) Daniel is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Mia is a knight. No contradiction is found in their claim that If Mason is a knave then Abigail is a knave.", "Assume Mason is a knight. No contradiction is found in their claim that David is a knight and Victoria is a knave.", "Assume David is a knight. No contradiction is found in their claim that Abigail is not a knight.", "Abigail cannot be a knight, because this would contradict the claim of David that Abigail is not a knight.", "Assume Abigail is a knave. No contradiction is found in their false claim that Daniel is not a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that If Mason is a knight then Victoria is a knave.", "Victoria cannot be a knight, because this would contradict the claim of Mason that David is a knight and Victoria is a knave.", "Assume Victoria is a knave. No contradiction is found in their false claim that Emma is a knight.", "Emma cannot be a knight, because this would contradict the claim of their own that Victoria is a knight if and only if Emma is a knight.", "Emma cannot be a knave, because this would contradict the false claim of their own that Victoria is a knight if and only if Emma is a knight.", "We have exhausted all possibilities for Emma and Victoria, so let us go back and reconsider Daniel.", "Daniel cannot be a knave, because this would contradict the false claim of Abigail that Daniel is not a knight.", "We have exhausted all possibilities for Daniel and Abigail, so let us go back and reconsider David.", "David cannot be a knave, because this would contradict the claim of Mason that David is a knight and Victoria is a knave.", "We have exhausted all possibilities for David, so let us go back and reconsider Mason.", "Assume Mason is a knave. No contradiction is found in their false claim that David is a knight and Victoria is a knave.", "Assume David is a knight. No contradiction is found in their claim that Abigail is not a knight.", "Abigail cannot be a knight, because this would contradict the claim of Mia that If Mason is a knave then Abigail is a knave.", "Assume Abigail is a knave. No contradiction is found in their false claim that Daniel is not a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that If Mason is a knight then Victoria is a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that Emma is a knight.", "Assume Emma is a knight. No contradiction is found in their claim that Victoria is a knight if and only if Emma is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 4), ('lying', 1)), ('not', ('telling-truth', 6)), ('<=>', ('telling-truth', 5), ('telling-truth', 2)), ('not', ('telling-truth', 1)), ('and', ('telling-truth', 3), ('lying', 5)), ('telling-truth', 2), ('->', ('telling-truth', 4), ('lying', 5)))", "index": 417}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Ava, Alexander, Michael, Jack, Emma, Abigail, and Penelope. \"Alexander is a knight\" - Ava. In a statement by Alexander: \"Penelope is a knight or Alexander is a knight\". Michael told you that If Penelope is a knave then Penelope is a knight. According to Jack, \"Emma is a knave and Penelope is a knave\". Emma told you that Ava is a knave if and only if Emma is a knight. Abigail asserted: \"Emma is a knight\". Penelope said that Abigail is not a knave. So who is a knight and who is a knave?", "names": ["Ava", "Alexander", "Michael", "Jack", "Emma", "Abigail", "Penelope"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true, false, false, false], "solution_text": "Ava is a knave, Alexander is a knave, Michael is a knave, Jack is a knight, Emma is a knave, Abigail is a knave, and Penelope is a knave.", "solution_text_format": "(1) Ava is a knave\n(2) Alexander is a knave\n(3) Michael is a knave\n(4) Jack is a knight\n(5) Emma is a knave\n(6) Abigail is a knave\n(7) Penelope is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ava is a knight. No contradiction is found in their claim that Alexander is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that Penelope is a knight or Alexander is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that Abigail is not a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that Emma is a knight.", "Emma cannot be a knight, because this would contradict the claim of their own that Ava is a knave if and only if Emma is a knight.", "Emma cannot be a knave, because this would contradict the false claim of their own that Ava is a knave if and only if Emma is a knight.", "We have exhausted all possibilities for Emma, so let us go back and reconsider Abigail.", "Abigail cannot be a knave, because this would contradict the claim of Penelope that Abigail is not a knave.", "We have exhausted all possibilities for Abigail, so let us go back and reconsider Penelope.", "Assume Penelope is a knave. No contradiction is found in their false claim that Abigail is not a knave.", "Abigail cannot be a knight, because this would contradict the false claim of Penelope that Abigail is not a knave.", "Assume Abigail is a knave. No contradiction is found in their false claim that Emma is a knight.", "Emma cannot be a knight, because this would contradict the claim of their own that Ava is a knave if and only if Emma is a knight.", "Emma cannot be a knave, because this would contradict the false claim of their own that Ava is a knave if and only if Emma is a knight.", "We have exhausted all possibilities for Emma, Abigail, and Penelope, so let us go back and reconsider Alexander.", "Alexander cannot be a knave, because this would contradict the claim of Ava that Alexander is a knight.", "We have exhausted all possibilities for Alexander, so let us go back and reconsider Ava.", "Assume Ava is a knave. No contradiction is found in their false claim that Alexander is a knight.", "Alexander cannot be a knight, because this would contradict the false claim of Ava that Alexander is a knight.", "Assume Alexander is a knave. No contradiction is found in their false claim that Penelope is a knight or Alexander is a knight.", "Penelope cannot be a knight, because this would contradict the false claim of Alexander that Penelope is a knight or Alexander is a knight.", "Assume Penelope is a knave. No contradiction is found in their false claim that Abigail is not a knave.", "Abigail cannot be a knight, because this would contradict the false claim of Penelope that Abigail is not a knave.", "Assume Abigail is a knave. No contradiction is found in their false claim that Emma is a knight.", "Emma cannot be a knight, because this would contradict the false claim of Abigail that Emma is a knight.", "Assume Emma is a knave. No contradiction is found in their false claim that Ava is a knave if and only if Emma is a knight.", "Michael cannot be a knight, because this would contradict the claim of their own that If Penelope is a knave then Penelope is a knight.", "Assume Michael is a knave. No contradiction is found in their false claim that If Penelope is a knave then Penelope is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that Emma is a knave and Penelope is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 1), ('or', ('telling-truth', 6), ('telling-truth', 1)), ('->', ('lying', 6), ('telling-truth', 6)), ('and', ('lying', 4), ('lying', 6)), ('<=>', ('lying', 0), ('telling-truth', 4)), ('telling-truth', 4), ('not', ('lying', 5)))", "index": 418}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Aurora, Emma, Penelope, Daniel, Evelyn, Michael, and Charlotte. \"Penelope is not a knave,\" Aurora declared. In a statement by Emma: \"Evelyn is a knight or Penelope is a knight\". In Penelope's words: \"Emma is a knave and Charlotte is a knight\". \"Michael is a knight if and only if Michael is a knave\" - Daniel. In a statement by Evelyn: \"Daniel is a knave\". Michael stated, \"Charlotte is not a knave\". Charlotte expressed that Penelope is not a knight. So who is a knight and who is a knave?", "names": ["Aurora", "Emma", "Penelope", "Daniel", "Evelyn", "Michael", "Charlotte"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false, true, true, true], "solution_text": "Aurora is a knave, Emma is a knight, Penelope is a knave, Daniel is a knave, Evelyn is a knight, Michael is a knight, and Charlotte is a knight.", "solution_text_format": "(1) Aurora is a knave\n(2) Emma is a knight\n(3) Penelope is a knave\n(4) Daniel is a knave\n(5) Evelyn is a knight\n(6) Michael is a knight\n(7) Charlotte is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aurora is a knight. No contradiction is found in their claim that Penelope is not a knave.", "Assume Penelope is a knight. No contradiction is found in their claim that Emma is a knave and Charlotte is a knight.", "Emma cannot be a knight, because this would contradict the claim of Penelope that Emma is a knave and Charlotte is a knight.", "Emma cannot be a knave, because this would contradict the false claim of their own that Evelyn is a knight or Penelope is a knight.", "We have exhausted all possibilities for Emma, so let us go back and reconsider Penelope.", "Penelope cannot be a knave, because this would contradict the claim of Aurora that Penelope is not a knave.", "We have exhausted all possibilities for Penelope, so let us go back and reconsider Aurora.", "Assume Aurora is a knave. No contradiction is found in their false claim that Penelope is not a knave.", "Penelope cannot be a knight, because this would contradict the false claim of Aurora that Penelope is not a knave.", "Assume Penelope is a knave. No contradiction is found in their false claim that Emma is a knave and Charlotte is a knight.", "Assume Emma is a knight. No contradiction is found in their claim that Evelyn is a knight or Penelope is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that Daniel is a knave.", "Daniel cannot be a knight, because this would contradict the claim of their own that Michael is a knight if and only if Michael is a knave.", "Assume Daniel is a knave. No contradiction is found in their false claim that Michael is a knight if and only if Michael is a knave.", "Assume Michael is a knight. No contradiction is found in their claim that Charlotte is not a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that Penelope is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 2)), ('or', ('telling-truth', 4), ('telling-truth', 2)), ('and', ('lying', 1), ('telling-truth', 6)), ('<=>', ('telling-truth', 5), ('lying', 5)), ('lying', 3), ('not', ('lying', 6)), ('not', ('telling-truth', 2)))", "index": 419}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: William, Olivia, Victoria, Aiden, Harper, Amelia, and Ava. William expressed that Ava is a knave. \"Aiden is a knave or Amelia is a knave\" - Olivia. Victoria told you that William is a knight or Olivia is a knave. \"Amelia is a knave or Amelia is a knight\" - Aiden. In a statement by Harper: \"Victoria is a knight if and only if Olivia is a knight\". \"Ava is a knight and Harper is a knave,\" Amelia declared. Ava said that Aiden is a knight. So who is a knight and who is a knave?", "names": ["William", "Olivia", "Victoria", "Aiden", "Harper", "Amelia", "Ava"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true, false, true, true], "solution_text": "William is a knave, Olivia is a knave, Victoria is a knight, Aiden is a knight, Harper is a knave, Amelia is a knight, and Ava is a knight.", "solution_text_format": "(1) William is a knave\n(2) Olivia is a knave\n(3) Victoria is a knight\n(4) Aiden is a knight\n(5) Harper is a knave\n(6) Amelia is a knight\n(7) Ava is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume William is a knight. No contradiction is found in their claim that Ava is a knave.", "Ava cannot be a knight, because this would contradict the claim of William that Ava is a knave.", "Assume Ava is a knave. No contradiction is found in their false claim that Aiden is a knight.", "Aiden cannot be a knight, because this would contradict the false claim of Ava that Aiden is a knight.", "Aiden cannot be a knave, because this would contradict the false claim of their own that Amelia is a knave or Amelia is a knight.", "We have exhausted all possibilities for Aiden and Ava, so let us go back and reconsider William.", "Assume William is a knave. No contradiction is found in their false claim that Ava is a knave.", "Assume Ava is a knight. No contradiction is found in their claim that Aiden is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that Amelia is a knave or Amelia is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that Ava is a knight and Harper is a knave.", "Harper cannot be a knight, because this would contradict the claim of Amelia that Ava is a knight and Harper is a knave.", "Assume Harper is a knave. No contradiction is found in their false claim that Victoria is a knight if and only if Olivia is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that William is a knight or Olivia is a knave.", "Olivia cannot be a knight, because this would contradict the claim of their own that Aiden is a knave or Amelia is a knave.", "Assume Olivia is a knave. No contradiction is found in their false claim that Aiden is a knave or Amelia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 6), ('or', ('lying', 3), ('lying', 5)), ('or', ('telling-truth', 0), ('lying', 1)), ('or', ('lying', 5), ('telling-truth', 5)), ('<=>', ('telling-truth', 2), ('telling-truth', 1)), ('and', ('telling-truth', 6), ('lying', 4)), ('telling-truth', 3))", "index": 420}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Alexander, Lily, Emma, Samuel, James, Sebastian, and Zoey. Alexander was heard saying, \"If Emma is a knave then Sebastian is a knave\". In a statement by Lily: \"Sebastian is a knight if and only if Emma is a knight\". \"Samuel is a knave or Samuel is a knight,\" Emma declared. \"Zoey is not a knave,\" Samuel claimed. James noted, \"If Emma is a knight then Lily is a knight\". Sebastian expressed that Zoey is a knight. Zoey expressed that Alexander is not a knight. So who is a knight and who is a knave?", "names": ["Alexander", "Lily", "Emma", "Samuel", "James", "Sebastian", "Zoey"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false, false, false, false], "solution_text": "Alexander is a knight, Lily is a knave, Emma is a knight, Samuel is a knave, James is a knave, Sebastian is a knave, and Zoey is a knave.", "solution_text_format": "(1) Alexander is a knight\n(2) Lily is a knave\n(3) Emma is a knight\n(4) Samuel is a knave\n(5) James is a knave\n(6) Sebastian is a knave\n(7) Zoey is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Alexander is a knight. No contradiction is found in their claim that If Emma is a knave then Sebastian is a knave.", "Assume Emma is a knight. No contradiction is found in their claim that Samuel is a knave or Samuel is a knight.", "Assume Samuel is a knight. No contradiction is found in their claim that Zoey is not a knave.", "Zoey cannot be a knight, because this would contradict the claim of their own that Alexander is not a knight.", "Zoey cannot be a knave, because this would contradict the claim of Samuel that Zoey is not a knave.", "We have exhausted all possibilities for Zoey, so let us go back and reconsider Samuel.", "Assume Samuel is a knave. No contradiction is found in their false claim that Zoey is not a knave.", "Zoey cannot be a knight, because this would contradict the false claim of Samuel that Zoey is not a knave.", "Assume Zoey is a knave. No contradiction is found in their false claim that Alexander is not a knight.", "Sebastian cannot be a knight, because this would contradict the claim of their own that Zoey is a knight.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Zoey is a knight.", "Lily cannot be a knight, because this would contradict the claim of their own that Sebastian is a knight if and only if Emma is a knight.", "Assume Lily is a knave. No contradiction is found in their false claim that Sebastian is a knight if and only if Emma is a knight.", "James cannot be a knight, because this would contradict the claim of their own that If Emma is a knight then Lily is a knight.", "Assume James is a knave. No contradiction is found in their false claim that If Emma is a knight then Lily is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 2), ('lying', 5)), ('<=>', ('telling-truth', 5), ('telling-truth', 2)), ('or', ('lying', 3), ('telling-truth', 3)), ('not', ('lying', 6)), ('->', ('telling-truth', 2), ('telling-truth', 1)), ('telling-truth', 6), ('not', ('telling-truth', 0)))", "index": 421}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Benjamin, Victoria, Jackson, Riley, Elizabeth, Aria, and Owen. Benjamin asserted: \"Victoria is a knight\". Victoria asserted: \"Benjamin is a knave or Elizabeth is a knight\". As Jackson put it, \"Owen is not a knave\". Riley commented, \"Elizabeth is a knight or Victoria is a knave\". Elizabeth commented, \"Elizabeth is a knight or Aria is a knave\". In Aria's words: \"Riley is a knight\". Owen said, \"Owen is a knight or Aria is a knight.\" So who is a knight and who is a knave?", "names": ["Benjamin", "Victoria", "Jackson", "Riley", "Elizabeth", "Aria", "Owen"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, true, true, true], "solution_text": "Benjamin is a knight, Victoria is a knight, Jackson is a knight, Riley is a knight, Elizabeth is a knight, Aria is a knight, and Owen is a knight.", "solution_text_format": "(1) Benjamin is a knight\n(2) Victoria is a knight\n(3) Jackson is a knight\n(4) Riley is a knight\n(5) Elizabeth is a knight\n(6) Aria is a knight\n(7) Owen is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Benjamin is a knight. No contradiction is found in their claim that Victoria is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that Benjamin is a knave or Elizabeth is a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Elizabeth is a knight or Aria is a knave.", "Assume Aria is a knight. No contradiction is found in their claim that Riley is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that Elizabeth is a knight or Victoria is a knave.", "Assume Jackson is a knight. No contradiction is found in their claim that Owen is not a knave.", "Assume Owen is a knight. No contradiction is found in their claim that Owen is a knight or Aria is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 1), ('or', ('lying', 0), ('telling-truth', 4)), ('not', ('lying', 6)), ('or', ('telling-truth', 4), ('lying', 1)), ('or', ('telling-truth', 4), ('lying', 5)), ('telling-truth', 3), ('or', ('telling-truth', 6), ('telling-truth', 5)))", "index": 422}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Logan, Sofia, Noah, Riley, Elizabeth, Ethan, and Aiden. Logan said that Noah is a knight and Noah is a knave. Sofia noted, \"Ethan is a knight and Elizabeth is a knight\". \"Logan is a knight and Noah is a knight,\" Noah claimed. Riley stated, \"Aiden is a knight or Ethan is a knave\". Elizabeth was heard saying, \"Noah is a knave if and only if Logan is a knight\". In a statement by Ethan: \"Ethan is a knight\". Aiden stated, \"Ethan is a knave if and only if Riley is a knight\". So who is a knight and who is a knave?", "names": ["Logan", "Sofia", "Noah", "Riley", "Elizabeth", "Ethan", "Aiden"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true, false, false, true], "solution_text": "Logan is a knave, Sofia is a knave, Noah is a knave, Riley is a knight, Elizabeth is a knave, Ethan is a knave, and Aiden is a knight.", "solution_text_format": "(1) Logan is a knave\n(2) Sofia is a knave\n(3) Noah is a knave\n(4) Riley is a knight\n(5) Elizabeth is a knave\n(6) Ethan is a knave\n(7) Aiden is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Logan cannot be a knight, because this would contradict the claim of their own that Noah is a knight and Noah is a knave.", "Assume Logan is a knave. No contradiction is found in their false claim that Noah is a knight and Noah is a knave.", "Noah cannot be a knight, because this would contradict the claim of their own that Logan is a knight and Noah is a knight.", "Assume Noah is a knave. No contradiction is found in their false claim that Logan is a knight and Noah is a knight.", "Assume Sofia is a knight. No contradiction is found in their claim that Ethan is a knight and Elizabeth is a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that Ethan is a knight.", "Elizabeth cannot be a knight, because this would contradict the claim of their own that Noah is a knave if and only if Logan is a knight.", "Elizabeth cannot be a knave, because this would contradict the claim of Sofia that Ethan is a knight and Elizabeth is a knight.", "We have exhausted all possibilities for Elizabeth, so let us go back and reconsider Ethan.", "Ethan cannot be a knave, because this would contradict the claim of Sofia that Ethan is a knight and Elizabeth is a knight.", "We have exhausted all possibilities for Ethan, so let us go back and reconsider Sofia.", "Assume Sofia is a knave. No contradiction is found in their false claim that Ethan is a knight and Elizabeth is a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that Ethan is a knight.", "Elizabeth cannot be a knight, because this would contradict the false claim of Sofia that Ethan is a knight and Elizabeth is a knight.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Noah is a knave if and only if Logan is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that Aiden is a knight or Ethan is a knave.", "Aiden cannot be a knight, because this would contradict the claim of their own that Ethan is a knave if and only if Riley is a knight.", "Aiden cannot be a knave, because this would contradict the claim of Riley that Aiden is a knight or Ethan is a knave.", "We have exhausted all possibilities for Aiden, so let us go back and reconsider Riley.", "Assume Riley is a knave. No contradiction is found in their false claim that Aiden is a knight or Ethan is a knave.", "Aiden cannot be a knight, because this would contradict the false claim of Riley that Aiden is a knight or Ethan is a knave.", "Aiden cannot be a knave, because this would contradict the false claim of their own that Ethan is a knave if and only if Riley is a knight.", "We have exhausted all possibilities for Aiden, Riley, and Elizabeth, so let us go back and reconsider Ethan.", "Assume Ethan is a knave. No contradiction is found in their false claim that Ethan is a knight.", "Elizabeth cannot be a knight, because this would contradict the claim of their own that Noah is a knave if and only if Logan is a knight.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Noah is a knave if and only if Logan is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that Aiden is a knight or Ethan is a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that Ethan is a knave if and only if Riley is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 2), ('lying', 2)), ('and', ('telling-truth', 5), ('telling-truth', 4)), ('and', ('telling-truth', 0), ('telling-truth', 2)), ('or', ('telling-truth', 6), ('lying', 5)), ('<=>', ('lying', 2), ('telling-truth', 0)), ('telling-truth', 5), ('<=>', ('lying', 5), ('telling-truth', 3)))", "index": 423}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Aria, James, Grace, Evelyn, Lily, Alexander, and Owen. \"Lily is a knight and James is a knave,\" Aria claimed. According to James, \"James is a knight and Lily is a knight\". Grace remarked, \"If Owen is a knave then James is a knave\". Evelyn asserted: \"If Grace is a knave then Owen is a knight\". Lily expressed that If James is a knave then Owen is a knave. \"If James is a knight then Grace is a knave,\" Alexander declared. Owen commented, \"Alexander is not a knave\". So who is a knight and who is a knave?", "names": ["Aria", "James", "Grace", "Evelyn", "Lily", "Alexander", "Owen"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true, false, true, true], "solution_text": "Aria is a knave, James is a knave, Grace is a knight, Evelyn is a knight, Lily is a knave, Alexander is a knight, and Owen is a knight.", "solution_text_format": "(1) Aria is a knave\n(2) James is a knave\n(3) Grace is a knight\n(4) Evelyn is a knight\n(5) Lily is a knave\n(6) Alexander is a knight\n(7) Owen is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aria is a knight. No contradiction is found in their claim that Lily is a knight and James is a knave.", "Assume Lily is a knight. No contradiction is found in their claim that If James is a knave then Owen is a knave.", "James cannot be a knight, because this would contradict the claim of Aria that Lily is a knight and James is a knave.", "Assume James is a knave. No contradiction is found in their false claim that James is a knight and Lily is a knight.", "Owen cannot be a knight, because this would contradict the claim of Lily that If James is a knave then Owen is a knave.", "Assume Owen is a knave. No contradiction is found in their false claim that Alexander is not a knave.", "Alexander cannot be a knight, because this would contradict the false claim of Owen that Alexander is not a knave.", "Alexander cannot be a knave, because this would contradict the false claim of their own that If James is a knight then Grace is a knave.", "We have exhausted all possibilities for Alexander, Owen, and James, so let us go back and reconsider Lily.", "Lily cannot be a knave, because this would contradict the claim of Aria that Lily is a knight and James is a knave.", "We have exhausted all possibilities for Lily, so let us go back and reconsider Aria.", "Assume Aria is a knave. No contradiction is found in their false claim that Lily is a knight and James is a knave.", "Assume Lily is a knight. No contradiction is found in their claim that If James is a knave then Owen is a knave.", "Assume James is a knight. No contradiction is found in their claim that James is a knight and Lily is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that Alexander is not a knave.", "Assume Alexander is a knight. No contradiction is found in their claim that If James is a knight then Grace is a knave.", "Grace cannot be a knight, because this would contradict the claim of Alexander that If James is a knight then Grace is a knave.", "Grace cannot be a knave, because this would contradict the false claim of their own that If Owen is a knave then James is a knave.", "We have exhausted all possibilities for Grace, so let us go back and reconsider Alexander.", "Alexander cannot be a knave, because this would contradict the claim of Owen that Alexander is not a knave.", "We have exhausted all possibilities for Alexander, so let us go back and reconsider Owen.", "Assume Owen is a knave. No contradiction is found in their false claim that Alexander is not a knave.", "Alexander cannot be a knight, because this would contradict the false claim of Owen that Alexander is not a knave.", "Assume Alexander is a knave. No contradiction is found in their false claim that If James is a knight then Grace is a knave.", "Grace cannot be a knight, because this would contradict the claim of their own that If Owen is a knave then James is a knave.", "Grace cannot be a knave, because this would contradict the false claim of Alexander that If James is a knight then Grace is a knave.", "We have exhausted all possibilities for Grace, Alexander, and Owen, so let us go back and reconsider James.", "James cannot be a knave, because this would contradict the false claim of Aria that Lily is a knight and James is a knave.", "We have exhausted all possibilities for James, so let us go back and reconsider Lily.", "Assume Lily is a knave. No contradiction is found in their false claim that If James is a knave then Owen is a knave.", "James cannot be a knight, because this would contradict the claim of their own that James is a knight and Lily is a knight.", "Assume James is a knave. No contradiction is found in their false claim that James is a knight and Lily is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that Alexander is not a knave.", "Assume Alexander is a knight. No contradiction is found in their claim that If James is a knight then Grace is a knave.", "Assume Grace is a knight. No contradiction is found in their claim that If Owen is a knave then James is a knave.", "Assume Evelyn is a knight. No contradiction is found in their claim that If Grace is a knave then Owen is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 4), ('lying', 1)), ('and', ('telling-truth', 1), ('telling-truth', 4)), ('->', ('lying', 6), ('lying', 1)), ('->', ('lying', 2), ('telling-truth', 6)), ('->', ('lying', 1), ('lying', 6)), ('->', ('telling-truth', 1), ('lying', 2)), ('not', ('lying', 5)))", "index": 424}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Joseph, Lucas, Grace, Owen, Riley, Alexander, and Sofia. As Joseph put it, \"Owen is not a knave\". As Lucas put it, \"If Owen is a knight then Sofia is a knave\". In Grace's words: \"Owen is a knight or Sofia is a knave\". Owen remarked, \"Owen is a knight if and only if Alexander is a knave\". Riley stated, \"Riley is a knight and Alexander is a knight\". In a statement by Alexander: \"Alexander is a knight\". Sofia was heard saying, \"Grace is a knight or Alexander is a knight\". So who is a knight and who is a knave?", "names": ["Joseph", "Lucas", "Grace", "Owen", "Riley", "Alexander", "Sofia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, false, false, true], "solution_text": "Joseph is a knight, Lucas is a knave, Grace is a knight, Owen is a knight, Riley is a knave, Alexander is a knave, and Sofia is a knight.", "solution_text_format": "(1) Joseph is a knight\n(2) Lucas is a knave\n(3) Grace is a knight\n(4) Owen is a knight\n(5) Riley is a knave\n(6) Alexander is a knave\n(7) Sofia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Joseph is a knight. No contradiction is found in their claim that Owen is not a knave.", "Assume Owen is a knight. No contradiction is found in their claim that Owen is a knight if and only if Alexander is a knave.", "Alexander cannot be a knight, because this would contradict the claim of Owen that Owen is a knight if and only if Alexander is a knave.", "Assume Alexander is a knave. No contradiction is found in their false claim that Alexander is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that If Owen is a knight then Sofia is a knave.", "Sofia cannot be a knight, because this would contradict the claim of Lucas that If Owen is a knight then Sofia is a knave.", "Assume Sofia is a knave. No contradiction is found in their false claim that Grace is a knight or Alexander is a knight.", "Grace cannot be a knight, because this would contradict the false claim of Sofia that Grace is a knight or Alexander is a knight.", "Grace cannot be a knave, because this would contradict the false claim of their own that Owen is a knight or Sofia is a knave.", "We have exhausted all possibilities for Grace and Sofia, so let us go back and reconsider Lucas.", "Assume Lucas is a knave. No contradiction is found in their false claim that If Owen is a knight then Sofia is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that Grace is a knight or Alexander is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that Owen is a knight or Sofia is a knave.", "Riley cannot be a knight, because this would contradict the claim of their own that Riley is a knight and Alexander is a knight.", "Assume Riley is a knave. No contradiction is found in their false claim that Riley is a knight and Alexander is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 3)), ('->', ('telling-truth', 3), ('lying', 6)), ('or', ('telling-truth', 3), ('lying', 6)), ('<=>', ('telling-truth', 3), ('lying', 5)), ('and', ('telling-truth', 4), ('telling-truth', 5)), ('telling-truth', 5), ('or', ('telling-truth', 2), ('telling-truth', 5)))", "index": 425}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Alexander, Chloe, Aurora, Henry, Ella, Victoria, and Oliver. As Alexander put it, \"Aurora is a knave if and only if Oliver is a knight\". Chloe stated, \"Aurora is not a knight\". In a statement by Aurora: \"Victoria is a knight\". \"Ella is a knave and Victoria is a knight,\" Henry claimed. \"Victoria is not a knave,\" Ella claimed. Victoria stated, \"Ella is a knave or Aurora is a knight\". In a statement by Oliver: \"Oliver is a knight or Henry is a knave\". So who is a knight and who is a knave?", "names": ["Alexander", "Chloe", "Aurora", "Henry", "Ella", "Victoria", "Oliver"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false, true, true, true], "solution_text": "Alexander is a knave, Chloe is a knave, Aurora is a knight, Henry is a knave, Ella is a knight, Victoria is a knight, and Oliver is a knight.", "solution_text_format": "(1) Alexander is a knave\n(2) Chloe is a knave\n(3) Aurora is a knight\n(4) Henry is a knave\n(5) Ella is a knight\n(6) Victoria is a knight\n(7) Oliver is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Alexander is a knight. No contradiction is found in their claim that Aurora is a knave if and only if Oliver is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that Victoria is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that Ella is a knave or Aurora is a knight.", "Assume Ella is a knight. No contradiction is found in their claim that Victoria is not a knave.", "Oliver cannot be a knight, because this would contradict the claim of Alexander that Aurora is a knave if and only if Oliver is a knight.", "Assume Oliver is a knave. No contradiction is found in their false claim that Oliver is a knight or Henry is a knave.", "Henry cannot be a knight, because this would contradict the claim of their own that Ella is a knave and Victoria is a knight.", "Henry cannot be a knave, because this would contradict the false claim of Oliver that Oliver is a knight or Henry is a knave.", "We have exhausted all possibilities for Henry and Oliver, so let us go back and reconsider Ella.", "Ella cannot be a knave, because this would contradict the false claim of their own that Victoria is not a knave.", "We have exhausted all possibilities for Ella, so let us go back and reconsider Victoria.", "Victoria cannot be a knave, because this would contradict the claim of Aurora that Victoria is a knight.", "We have exhausted all possibilities for Victoria, so let us go back and reconsider Aurora.", "Assume Aurora is a knave. No contradiction is found in their false claim that Victoria is a knight.", "Victoria cannot be a knight, because this would contradict the false claim of Aurora that Victoria is a knight.", "Assume Victoria is a knave. No contradiction is found in their false claim that Ella is a knave or Aurora is a knight.", "Ella cannot be a knight, because this would contradict the claim of their own that Victoria is not a knave.", "Ella cannot be a knave, because this would contradict the false claim of Victoria that Ella is a knave or Aurora is a knight.", "We have exhausted all possibilities for Ella, Victoria, and Aurora, so let us go back and reconsider Alexander.", "Assume Alexander is a knave. No contradiction is found in their false claim that Aurora is a knave if and only if Oliver is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that Victoria is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that Ella is a knave or Aurora is a knight.", "Assume Ella is a knight. No contradiction is found in their claim that Victoria is not a knave.", "Assume Oliver is a knight. No contradiction is found in their claim that Oliver is a knight or Henry is a knave.", "Henry cannot be a knight, because this would contradict the claim of their own that Ella is a knave and Victoria is a knight.", "Assume Henry is a knave. No contradiction is found in their false claim that Ella is a knave and Victoria is a knight.", "Chloe cannot be a knight, because this would contradict the claim of their own that Aurora is not a knight.", "Assume Chloe is a knave. No contradiction is found in their false claim that Aurora is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 2), ('telling-truth', 6)), ('not', ('telling-truth', 2)), ('telling-truth', 5), ('and', ('lying', 4), ('telling-truth', 5)), ('not', ('lying', 5)), ('or', ('lying', 4), ('telling-truth', 2)), ('or', ('telling-truth', 6), ('lying', 3)))", "index": 426}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Avery, Sebastian, Harper, David, Benjamin, Liam, and Sophia. \"Benjamin is a knave,\" Avery declared. Sebastian noted, \"Avery is a knave or Benjamin is a knave\". Harper asserted: \"Benjamin is a knave and Liam is a knight\". David remarked, \"If Avery is a knave then Liam is a knave\". \"Avery is a knave if and only if Harper is a knave\" - Benjamin. Liam noted, \"Sebastian is a knight\". \"If Avery is a knave then David is a knave,\" Sophia declared. So who is a knight and who is a knave?", "names": ["Avery", "Sebastian", "Harper", "David", "Benjamin", "Liam", "Sophia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false, true, true, true], "solution_text": "Avery is a knave, Sebastian is a knight, Harper is a knave, David is a knave, Benjamin is a knight, Liam is a knight, and Sophia is a knight.", "solution_text_format": "(1) Avery is a knave\n(2) Sebastian is a knight\n(3) Harper is a knave\n(4) David is a knave\n(5) Benjamin is a knight\n(6) Liam is a knight\n(7) Sophia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Avery is a knight. No contradiction is found in their claim that Benjamin is a knave.", "Benjamin cannot be a knight, because this would contradict the claim of Avery that Benjamin is a knave.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Avery is a knave if and only if Harper is a knave.", "Harper cannot be a knight, because this would contradict the false claim of Benjamin that Avery is a knave if and only if Harper is a knave.", "Assume Harper is a knave. No contradiction is found in their false claim that Benjamin is a knave and Liam is a knight.", "Liam cannot be a knight, because this would contradict the false claim of Harper that Benjamin is a knave and Liam is a knight.", "Assume Liam is a knave. No contradiction is found in their false claim that Sebastian is a knight.", "Sebastian cannot be a knight, because this would contradict the false claim of Liam that Sebastian is a knight.", "Sebastian cannot be a knave, because this would contradict the false claim of their own that Avery is a knave or Benjamin is a knave.", "We have exhausted all possibilities for Sebastian, Liam, Harper, and Benjamin, so let us go back and reconsider Avery.", "Assume Avery is a knave. No contradiction is found in their false claim that Benjamin is a knave.", "Assume Benjamin is a knight. No contradiction is found in their claim that Avery is a knave if and only if Harper is a knave.", "Harper cannot be a knight, because this would contradict the claim of their own that Benjamin is a knave and Liam is a knight.", "Assume Harper is a knave. No contradiction is found in their false claim that Benjamin is a knave and Liam is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that Sebastian is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Avery is a knave or Benjamin is a knave.", "David cannot be a knight, because this would contradict the claim of their own that If Avery is a knave then Liam is a knave.", "Assume David is a knave. No contradiction is found in their false claim that If Avery is a knave then Liam is a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that If Avery is a knave then David is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 4), ('or', ('lying', 0), ('lying', 4)), ('and', ('lying', 4), ('telling-truth', 5)), ('->', ('lying', 0), ('lying', 5)), ('<=>', ('lying', 0), ('lying', 2)), ('telling-truth', 1), ('->', ('lying', 0), ('lying', 3)))", "index": 427}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Daniel, Jacob, James, Liam, Harper, Emma, and Grace. Daniel said, \"Grace is not a knight.\" \"Grace is a knight,\" Jacob claimed. According to James, \"Daniel is a knave\". Liam said that Daniel is a knave if and only if Emma is a knight. Harper remarked, \"If Liam is a knight then Daniel is a knave\". Emma told you that Harper is a knave. \"If Emma is a knave then Liam is a knave,\" Grace mentioned. So who is a knight and who is a knave?", "names": ["Daniel", "Jacob", "James", "Liam", "Harper", "Emma", "Grace"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false, true, false, true], "solution_text": "Daniel is a knave, Jacob is a knight, James is a knight, Liam is a knave, Harper is a knight, Emma is a knave, and Grace is a knight.", "solution_text_format": "(1) Daniel is a knave\n(2) Jacob is a knight\n(3) James is a knight\n(4) Liam is a knave\n(5) Harper is a knight\n(6) Emma is a knave\n(7) Grace is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Daniel is a knight. No contradiction is found in their claim that Grace is not a knight.", "Grace cannot be a knight, because this would contradict the claim of Daniel that Grace is not a knight.", "Assume Grace is a knave. No contradiction is found in their false claim that If Emma is a knave then Liam is a knave.", "Emma cannot be a knight, because this would contradict the false claim of Grace that If Emma is a knave then Liam is a knave.", "Assume Emma is a knave. No contradiction is found in their false claim that Harper is a knave.", "Assume Harper is a knight. No contradiction is found in their claim that If Liam is a knight then Daniel is a knave.", "Liam cannot be a knight, because this would contradict the claim of Harper that If Liam is a knight then Daniel is a knave.", "Liam cannot be a knave, because this would contradict the false claim of their own that Daniel is a knave if and only if Emma is a knight.", "We have exhausted all possibilities for Liam, so let us go back and reconsider Harper.", "Harper cannot be a knave, because this would contradict the false claim of Emma that Harper is a knave.", "We have exhausted all possibilities for Harper, Emma, and Grace, so let us go back and reconsider Daniel.", "Assume Daniel is a knave. No contradiction is found in their false claim that Grace is not a knight.", "Assume Grace is a knight. No contradiction is found in their claim that If Emma is a knave then Liam is a knave.", "Assume Emma is a knight. No contradiction is found in their claim that Harper is a knave.", "Harper cannot be a knight, because this would contradict the claim of Emma that Harper is a knave.", "Harper cannot be a knave, because this would contradict the false claim of their own that If Liam is a knight then Daniel is a knave.", "We have exhausted all possibilities for Harper, so let us go back and reconsider Emma.", "Assume Emma is a knave. No contradiction is found in their false claim that Harper is a knave.", "Assume Harper is a knight. No contradiction is found in their claim that If Liam is a knight then Daniel is a knave.", "Liam cannot be a knight, because this would contradict the claim of their own that Daniel is a knave if and only if Emma is a knight.", "Assume Liam is a knave. No contradiction is found in their false claim that Daniel is a knave if and only if Emma is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that Grace is a knight.", "Assume James is a knight. No contradiction is found in their claim that Daniel is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 6)), ('telling-truth', 6), ('lying', 0), ('<=>', ('lying', 0), ('telling-truth', 5)), ('->', ('telling-truth', 3), ('lying', 0)), ('lying', 4), ('->', ('lying', 5), ('lying', 3)))", "index": 428}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Abigail, Jacob, Daniel, Jackson, Sophia, Owen, and Sebastian. Abigail commented, \"Sebastian is not a knight\". Jacob asserted: \"Owen is a knight and Sophia is a knight\". Daniel noted, \"Owen is a knave and Abigail is a knave\". Jackson was heard saying, \"If Daniel is a knave then Jacob is a knight\". Sophia noted, \"If Sophia is a knight then Daniel is a knight\". Owen remarked, \"Abigail is a knave if and only if Abigail is a knight\". Sebastian expressed that Abigail is not a knight. So who is a knight and who is a knave?", "names": ["Abigail", "Jacob", "Daniel", "Jackson", "Sophia", "Owen", "Sebastian"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true, true, false, true], "solution_text": "Abigail is a knave, Jacob is a knave, Daniel is a knight, Jackson is a knight, Sophia is a knight, Owen is a knave, and Sebastian is a knight.", "solution_text_format": "(1) Abigail is a knave\n(2) Jacob is a knave\n(3) Daniel is a knight\n(4) Jackson is a knight\n(5) Sophia is a knight\n(6) Owen is a knave\n(7) Sebastian is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Abigail is a knight. No contradiction is found in their claim that Sebastian is not a knight.", "Sebastian cannot be a knight, because this would contradict the claim of Abigail that Sebastian is not a knight.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Abigail is not a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that Owen is a knight and Sophia is a knight.", "Owen cannot be a knight, because this would contradict the claim of their own that Abigail is a knave if and only if Abigail is a knight.", "Owen cannot be a knave, because this would contradict the claim of Jacob that Owen is a knight and Sophia is a knight.", "We have exhausted all possibilities for Owen, so let us go back and reconsider Jacob.", "Assume Jacob is a knave. No contradiction is found in their false claim that Owen is a knight and Sophia is a knight.", "Owen cannot be a knight, because this would contradict the claim of their own that Abigail is a knave if and only if Abigail is a knight.", "Assume Owen is a knave. No contradiction is found in their false claim that Abigail is a knave if and only if Abigail is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that If Sophia is a knight then Daniel is a knight.", "Daniel cannot be a knight, because this would contradict the claim of their own that Owen is a knave and Abigail is a knave.", "Daniel cannot be a knave, because this would contradict the claim of Sophia that If Sophia is a knight then Daniel is a knight.", "We have exhausted all possibilities for Daniel, so let us go back and reconsider Sophia.", "Sophia cannot be a knave, because this would contradict the false claim of their own that If Sophia is a knight then Daniel is a knight.", "We have exhausted all possibilities for Sophia, Owen, Jacob, and Sebastian, so let us go back and reconsider Abigail.", "Assume Abigail is a knave. No contradiction is found in their false claim that Sebastian is not a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Abigail is not a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that Owen is a knight and Sophia is a knight.", "Owen cannot be a knight, because this would contradict the claim of their own that Abigail is a knave if and only if Abigail is a knight.", "Owen cannot be a knave, because this would contradict the claim of Jacob that Owen is a knight and Sophia is a knight.", "We have exhausted all possibilities for Owen, so let us go back and reconsider Jacob.", "Assume Jacob is a knave. No contradiction is found in their false claim that Owen is a knight and Sophia is a knight.", "Owen cannot be a knight, because this would contradict the claim of their own that Abigail is a knave if and only if Abigail is a knight.", "Assume Owen is a knave. No contradiction is found in their false claim that Abigail is a knave if and only if Abigail is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that If Sophia is a knight then Daniel is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that Owen is a knave and Abigail is a knave.", "Assume Jackson is a knight. No contradiction is found in their claim that If Daniel is a knave then Jacob is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 6)), ('and', ('telling-truth', 5), ('telling-truth', 4)), ('and', ('lying', 5), ('lying', 0)), ('->', ('lying', 2), ('telling-truth', 1)), ('->', ('telling-truth', 4), ('telling-truth', 2)), ('<=>', ('lying', 0), ('telling-truth', 0)), ('not', ('telling-truth', 0)))", "index": 429}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Isabella, Olivia, Emily, Noah, Aria, Emma, and Scarlett. Isabella asserted: \"Noah is a knave and Scarlett is a knight\". Olivia said, \"Isabella is a knight or Emma is a knight.\" Emily stated, \"Olivia is a knave if and only if Scarlett is a knight\". In a statement by Noah: \"If Aria is a knave then Isabella is a knight\". In Aria's words: \"Olivia is a knight and Scarlett is a knave\". Emma told you that Noah is a knave if and only if Aria is a knight. Scarlett said, \"Noah is a knight or Isabella is a knight.\" So who is a knight and who is a knave?", "names": ["Isabella", "Olivia", "Emily", "Noah", "Aria", "Emma", "Scarlett"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, false, false, false, false], "solution_text": "Isabella is a knave, Olivia is a knave, Emily is a knave, Noah is a knave, Aria is a knave, Emma is a knave, and Scarlett is a knave.", "solution_text_format": "(1) Isabella is a knave\n(2) Olivia is a knave\n(3) Emily is a knave\n(4) Noah is a knave\n(5) Aria is a knave\n(6) Emma is a knave\n(7) Scarlett is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Isabella is a knight. No contradiction is found in their claim that Noah is a knave and Scarlett is a knight.", "Noah cannot be a knight, because this would contradict the claim of Isabella that Noah is a knave and Scarlett is a knight.", "Noah cannot be a knave, because this would contradict the false claim of their own that If Aria is a knave then Isabella is a knight.", "We have exhausted all possibilities for Noah, so let us go back and reconsider Isabella.", "Assume Isabella is a knave. No contradiction is found in their false claim that Noah is a knave and Scarlett is a knight.", "Assume Noah is a knight. No contradiction is found in their claim that If Aria is a knave then Isabella is a knight.", "Assume Aria is a knight. No contradiction is found in their claim that Olivia is a knight and Scarlett is a knave.", "Assume Olivia is a knight. No contradiction is found in their claim that Isabella is a knight or Emma is a knight.", "Emma cannot be a knight, because this would contradict the claim of their own that Noah is a knave if and only if Aria is a knight.", "Emma cannot be a knave, because this would contradict the claim of Olivia that Isabella is a knight or Emma is a knight.", "We have exhausted all possibilities for Emma, so let us go back and reconsider Olivia.", "Olivia cannot be a knave, because this would contradict the claim of Aria that Olivia is a knight and Scarlett is a knave.", "We have exhausted all possibilities for Olivia, so let us go back and reconsider Aria.", "Aria cannot be a knave, because this would contradict the claim of Noah that If Aria is a knave then Isabella is a knight.", "We have exhausted all possibilities for Aria, so let us go back and reconsider Noah.", "Assume Noah is a knave. No contradiction is found in their false claim that If Aria is a knave then Isabella is a knight.", "Aria cannot be a knight, because this would contradict the false claim of Noah that If Aria is a knave then Isabella is a knight.", "Assume Aria is a knave. No contradiction is found in their false claim that Olivia is a knight and Scarlett is a knave.", "Assume Olivia is a knight. No contradiction is found in their claim that Isabella is a knight or Emma is a knight.", "Emma cannot be a knight, because this would contradict the claim of their own that Noah is a knave if and only if Aria is a knight.", "Emma cannot be a knave, because this would contradict the claim of Olivia that Isabella is a knight or Emma is a knight.", "We have exhausted all possibilities for Emma, so let us go back and reconsider Olivia.", "Assume Olivia is a knave. No contradiction is found in their false claim that Isabella is a knight or Emma is a knight.", "Emma cannot be a knight, because this would contradict the false claim of Olivia that Isabella is a knight or Emma is a knight.", "Assume Emma is a knave. No contradiction is found in their false claim that Noah is a knave if and only if Aria is a knight.", "Scarlett cannot be a knight, because this would contradict the false claim of Isabella that Noah is a knave and Scarlett is a knight.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Noah is a knight or Isabella is a knight.", "Emily cannot be a knight, because this would contradict the claim of their own that Olivia is a knave if and only if Scarlett is a knight.", "Assume Emily is a knave. No contradiction is found in their false claim that Olivia is a knave if and only if Scarlett is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 3), ('telling-truth', 6)), ('or', ('telling-truth', 0), ('telling-truth', 5)), ('<=>', ('lying', 1), ('telling-truth', 6)), ('->', ('lying', 4), ('telling-truth', 0)), ('and', ('telling-truth', 1), ('lying', 6)), ('<=>', ('lying', 3), ('telling-truth', 4)), ('or', ('telling-truth', 3), ('telling-truth', 0)))", "index": 430}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Liam, William, Michael, Amelia, Logan, Emma, and Daniel. Liam stated, \"If William is a knight then Liam is a knight\". \"If Emma is a knave then Amelia is a knight,\" William mentioned. Michael told you that Emma is not a knave. Amelia stated, \"Liam is a knight or Daniel is a knave\". Logan remarked, \"Amelia is a knight and Emma is a knight\". In a statement by Emma: \"Amelia is a knave if and only if Amelia is a knight\". Daniel noted, \"If Emma is a knight then Daniel is a knight\". So who is a knight and who is a knave?", "names": ["Liam", "William", "Michael", "Amelia", "Logan", "Emma", "Daniel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true, false, false, true], "solution_text": "Liam is a knight, William is a knight, Michael is a knave, Amelia is a knight, Logan is a knave, Emma is a knave, and Daniel is a knight.", "solution_text_format": "(1) Liam is a knight\n(2) William is a knight\n(3) Michael is a knave\n(4) Amelia is a knight\n(5) Logan is a knave\n(6) Emma is a knave\n(7) Daniel is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Liam is a knight. No contradiction is found in their claim that If William is a knight then Liam is a knight.", "Assume William is a knight. No contradiction is found in their claim that If Emma is a knave then Amelia is a knight.", "Emma cannot be a knight, because this would contradict the claim of their own that Amelia is a knave if and only if Amelia is a knight.", "Assume Emma is a knave. No contradiction is found in their false claim that Amelia is a knave if and only if Amelia is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that Liam is a knight or Daniel is a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that If Emma is a knight then Daniel is a knight.", "Michael cannot be a knight, because this would contradict the claim of their own that Emma is not a knave.", "Assume Michael is a knave. No contradiction is found in their false claim that Emma is not a knave.", "Logan cannot be a knight, because this would contradict the claim of their own that Amelia is a knight and Emma is a knight.", "Assume Logan is a knave. No contradiction is found in their false claim that Amelia is a knight and Emma is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 1), ('telling-truth', 0)), ('->', ('lying', 5), ('telling-truth', 3)), ('not', ('lying', 5)), ('or', ('telling-truth', 0), ('lying', 6)), ('and', ('telling-truth', 3), ('telling-truth', 5)), ('<=>', ('lying', 3), ('telling-truth', 3)), ('->', ('telling-truth', 5), ('telling-truth', 6)))", "index": 431}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Oliver, Matthew, Mia, William, Isabella, Avery, and Chloe. \"William is not a knight\" - Oliver. \"Mia is not a knave,\" Matthew claimed. Mia said, \"Avery is not a knave.\" William expressed that If Mia is a knight then Avery is a knight. \"Mia is a knight or Matthew is a knight\" - Isabella. Avery asserted: \"Matthew is a knight and Mia is a knave\". Chloe was heard saying, \"Mia is a knight if and only if Matthew is a knave\". So who is a knight and who is a knave?", "names": ["Oliver", "Matthew", "Mia", "William", "Isabella", "Avery", "Chloe"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true, false, false, false], "solution_text": "Oliver is a knave, Matthew is a knave, Mia is a knave, William is a knight, Isabella is a knave, Avery is a knave, and Chloe is a knave.", "solution_text_format": "(1) Oliver is a knave\n(2) Matthew is a knave\n(3) Mia is a knave\n(4) William is a knight\n(5) Isabella is a knave\n(6) Avery is a knave\n(7) Chloe is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Oliver is a knight. No contradiction is found in their claim that William is not a knight.", "William cannot be a knight, because this would contradict the claim of Oliver that William is not a knight.", "Assume William is a knave. No contradiction is found in their false claim that If Mia is a knight then Avery is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that Avery is not a knave.", "Avery cannot be a knight, because this would contradict the false claim of William that If Mia is a knight then Avery is a knight.", "Avery cannot be a knave, because this would contradict the claim of Mia that Avery is not a knave.", "We have exhausted all possibilities for Avery, so let us go back and reconsider Mia.", "Mia cannot be a knave, because this would contradict the false claim of William that If Mia is a knight then Avery is a knight.", "We have exhausted all possibilities for Mia and William, so let us go back and reconsider Oliver.", "Assume Oliver is a knave. No contradiction is found in their false claim that William is not a knight.", "Assume William is a knight. No contradiction is found in their claim that If Mia is a knight then Avery is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that Avery is not a knave.", "Avery cannot be a knight, because this would contradict the claim of their own that Matthew is a knight and Mia is a knave.", "Avery cannot be a knave, because this would contradict the claim of Mia that Avery is not a knave.", "We have exhausted all possibilities for Avery, so let us go back and reconsider Mia.", "Assume Mia is a knave. No contradiction is found in their false claim that Avery is not a knave.", "Avery cannot be a knight, because this would contradict the false claim of Mia that Avery is not a knave.", "Assume Avery is a knave. No contradiction is found in their false claim that Matthew is a knight and Mia is a knave.", "Matthew cannot be a knight, because this would contradict the claim of their own that Mia is not a knave.", "Assume Matthew is a knave. No contradiction is found in their false claim that Mia is not a knave.", "Isabella cannot be a knight, because this would contradict the claim of their own that Mia is a knight or Matthew is a knight.", "Assume Isabella is a knave. No contradiction is found in their false claim that Mia is a knight or Matthew is a knight.", "Chloe cannot be a knight, because this would contradict the claim of their own that Mia is a knight if and only if Matthew is a knave.", "Assume Chloe is a knave. No contradiction is found in their false claim that Mia is a knight if and only if Matthew is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 3)), ('not', ('lying', 2)), ('not', ('lying', 5)), ('->', ('telling-truth', 2), ('telling-truth', 5)), ('or', ('telling-truth', 2), ('telling-truth', 1)), ('and', ('telling-truth', 1), ('lying', 2)), ('<=>', ('telling-truth', 2), ('lying', 1)))", "index": 432}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Riley, Chloe, Olivia, Scarlett, Oliver, Samuel, and Michael. Riley said that Chloe is a knave if and only if Olivia is a knight. Chloe said that Samuel is a knight if and only if Michael is a knight. According to Olivia, \"If Chloe is a knave then Oliver is a knave\". Scarlett was heard saying, \"Olivia is not a knave\". \"Olivia is a knight or Riley is a knight,\" Oliver declared. \"Scarlett is a knave,\" Samuel mentioned. \"Olivia is a knight if and only if Scarlett is a knave\" - Michael. So who is a knight and who is a knave?", "names": ["Riley", "Chloe", "Olivia", "Scarlett", "Oliver", "Samuel", "Michael"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, true, false, false], "solution_text": "Riley is a knave, Chloe is a knight, Olivia is a knight, Scarlett is a knight, Oliver is a knight, Samuel is a knave, and Michael is a knave.", "solution_text_format": "(1) Riley is a knave\n(2) Chloe is a knight\n(3) Olivia is a knight\n(4) Scarlett is a knight\n(5) Oliver is a knight\n(6) Samuel is a knave\n(7) Michael is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Riley is a knight. No contradiction is found in their claim that Chloe is a knave if and only if Olivia is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that Samuel is a knight if and only if Michael is a knight.", "Assume Samuel is a knight. No contradiction is found in their claim that Scarlett is a knave.", "Scarlett cannot be a knight, because this would contradict the claim of Samuel that Scarlett is a knave.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Olivia is not a knave.", "Olivia cannot be a knight, because this would contradict the claim of Riley that Chloe is a knave if and only if Olivia is a knight.", "Olivia cannot be a knave, because this would contradict the false claim of their own that If Chloe is a knave then Oliver is a knave.", "We have exhausted all possibilities for Olivia and Scarlett, so let us go back and reconsider Samuel.", "Assume Samuel is a knave. No contradiction is found in their false claim that Scarlett is a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that Olivia is not a knave.", "Olivia cannot be a knight, because this would contradict the claim of Riley that Chloe is a knave if and only if Olivia is a knight.", "Olivia cannot be a knave, because this would contradict the false claim of their own that If Chloe is a knave then Oliver is a knave.", "We have exhausted all possibilities for Olivia, so let us go back and reconsider Scarlett.", "Scarlett cannot be a knave, because this would contradict the false claim of Samuel that Scarlett is a knave.", "We have exhausted all possibilities for Scarlett and Samuel, so let us go back and reconsider Chloe.", "Assume Chloe is a knave. No contradiction is found in their false claim that Samuel is a knight if and only if Michael is a knight.", "Assume Samuel is a knight. No contradiction is found in their claim that Scarlett is a knave.", "Scarlett cannot be a knight, because this would contradict the claim of Samuel that Scarlett is a knave.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Olivia is not a knave.", "Olivia cannot be a knight, because this would contradict the false claim of Scarlett that Olivia is not a knave.", "Olivia cannot be a knave, because this would contradict the claim of Riley that Chloe is a knave if and only if Olivia is a knight.", "We have exhausted all possibilities for Olivia and Scarlett, so let us go back and reconsider Samuel.", "Assume Samuel is a knave. No contradiction is found in their false claim that Scarlett is a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that Olivia is not a knave.", "Assume Olivia is a knight. No contradiction is found in their claim that If Chloe is a knave then Oliver is a knave.", "Oliver cannot be a knight, because this would contradict the claim of Olivia that If Chloe is a knave then Oliver is a knave.", "Oliver cannot be a knave, because this would contradict the false claim of their own that Olivia is a knight or Riley is a knight.", "We have exhausted all possibilities for Oliver, so let us go back and reconsider Olivia.", "Olivia cannot be a knave, because this would contradict the claim of Riley that Chloe is a knave if and only if Olivia is a knight.", "We have exhausted all possibilities for Olivia, so let us go back and reconsider Scarlett.", "Scarlett cannot be a knave, because this would contradict the false claim of Samuel that Scarlett is a knave.", "We have exhausted all possibilities for Scarlett, Samuel, and Chloe, so let us go back and reconsider Riley.", "Assume Riley is a knave. No contradiction is found in their false claim that Chloe is a knave if and only if Olivia is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that Samuel is a knight if and only if Michael is a knight.", "Assume Samuel is a knight. No contradiction is found in their claim that Scarlett is a knave.", "Scarlett cannot be a knight, because this would contradict the claim of Samuel that Scarlett is a knave.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Olivia is not a knave.", "Olivia cannot be a knight, because this would contradict the false claim of Scarlett that Olivia is not a knave.", "Olivia cannot be a knave, because this would contradict the false claim of Riley that Chloe is a knave if and only if Olivia is a knight.", "We have exhausted all possibilities for Olivia and Scarlett, so let us go back and reconsider Samuel.", "Assume Samuel is a knave. No contradiction is found in their false claim that Scarlett is a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that Olivia is not a knave.", "Assume Olivia is a knight. No contradiction is found in their claim that If Chloe is a knave then Oliver is a knave.", "Assume Oliver is a knight. No contradiction is found in their claim that Olivia is a knight or Riley is a knight.", "Michael cannot be a knight, because this would contradict the claim of Chloe that Samuel is a knight if and only if Michael is a knight.", "Assume Michael is a knave. No contradiction is found in their false claim that Olivia is a knight if and only if Scarlett is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('telling-truth', 2)), ('<=>', ('telling-truth', 5), ('telling-truth', 6)), ('->', ('lying', 1), ('lying', 4)), ('not', ('lying', 2)), ('or', ('telling-truth', 2), ('telling-truth', 0)), ('lying', 3), ('<=>', ('telling-truth', 2), ('lying', 3)))", "index": 433}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Mason, Aiden, William, Samuel, Amelia, Sebastian, and Sophia. Mason was heard saying, \"Amelia is a knave or Samuel is a knave\". Aiden was heard saying, \"Samuel is a knight if and only if Amelia is a knave\". William said, \"Aiden is a knight.\" Samuel was heard saying, \"If Mason is a knave then William is a knight\". Amelia stated, \"Mason is not a knight\". In a statement by Sebastian: \"Mason is a knave if and only if William is a knight\". In a statement by Sophia: \"If Mason is a knight then Sebastian is a knave\". So who is a knight and who is a knave?", "names": ["Mason", "Aiden", "William", "Samuel", "Amelia", "Sebastian", "Sophia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, false, false, true], "solution_text": "Mason is a knight, Aiden is a knight, William is a knight, Samuel is a knight, Amelia is a knave, Sebastian is a knave, and Sophia is a knight.", "solution_text_format": "(1) Mason is a knight\n(2) Aiden is a knight\n(3) William is a knight\n(4) Samuel is a knight\n(5) Amelia is a knave\n(6) Sebastian is a knave\n(7) Sophia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Mason is a knight. No contradiction is found in their claim that Amelia is a knave or Samuel is a knave.", "Amelia cannot be a knight, because this would contradict the claim of their own that Mason is not a knight.", "Assume Amelia is a knave. No contradiction is found in their false claim that Mason is not a knight.", "Assume Samuel is a knight. No contradiction is found in their claim that If Mason is a knave then William is a knight.", "Assume William is a knight. No contradiction is found in their claim that Aiden is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that Samuel is a knight if and only if Amelia is a knave.", "Sebastian cannot be a knight, because this would contradict the claim of their own that Mason is a knave if and only if William is a knight.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Mason is a knave if and only if William is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that If Mason is a knight then Sebastian is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 4), ('lying', 3)), ('<=>', ('telling-truth', 3), ('lying', 4)), ('telling-truth', 1), ('->', ('lying', 0), ('telling-truth', 2)), ('not', ('telling-truth', 0)), ('<=>', ('lying', 0), ('telling-truth', 2)), ('->', ('telling-truth', 0), ('lying', 5)))", "index": 434}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Emma, Penelope, Matthew, Evelyn, Samuel, Daniel, and Lucas. As Emma put it, \"If Penelope is a knight then Samuel is a knight\". Penelope said that Daniel is a knight and Lucas is a knave. According to Matthew, \"Evelyn is a knave or Penelope is a knight\". According to Evelyn, \"Evelyn is a knight if and only if Emma is a knight\". In a statement by Samuel: \"Lucas is a knave if and only if Emma is a knight\". Daniel asserted: \"If Matthew is a knight then Evelyn is a knave\". As Lucas put it, \"Matthew is a knight\". So who is a knight and who is a knave?", "names": ["Emma", "Penelope", "Matthew", "Evelyn", "Samuel", "Daniel", "Lucas"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false, false, true, true], "solution_text": "Emma is a knight, Penelope is a knave, Matthew is a knight, Evelyn is a knave, Samuel is a knave, Daniel is a knight, and Lucas is a knight.", "solution_text_format": "(1) Emma is a knight\n(2) Penelope is a knave\n(3) Matthew is a knight\n(4) Evelyn is a knave\n(5) Samuel is a knave\n(6) Daniel is a knight\n(7) Lucas is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Emma is a knight. No contradiction is found in their claim that If Penelope is a knight then Samuel is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that Daniel is a knight and Lucas is a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that If Matthew is a knight then Evelyn is a knave.", "Assume Matthew is a knight. No contradiction is found in their claim that Evelyn is a knave or Penelope is a knight.", "Evelyn cannot be a knight, because this would contradict the claim of Daniel that If Matthew is a knight then Evelyn is a knave.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Evelyn is a knight if and only if Emma is a knight.", "Lucas cannot be a knight, because this would contradict the claim of Penelope that Daniel is a knight and Lucas is a knave.", "Lucas cannot be a knave, because this would contradict the false claim of their own that Matthew is a knight.", "We have exhausted all possibilities for Lucas and Evelyn, so let us go back and reconsider Matthew.", "Matthew cannot be a knave, because this would contradict the false claim of their own that Evelyn is a knave or Penelope is a knight.", "We have exhausted all possibilities for Matthew, so let us go back and reconsider Daniel.", "Daniel cannot be a knave, because this would contradict the claim of Penelope that Daniel is a knight and Lucas is a knave.", "We have exhausted all possibilities for Daniel, so let us go back and reconsider Penelope.", "Assume Penelope is a knave. No contradiction is found in their false claim that Daniel is a knight and Lucas is a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that If Matthew is a knight then Evelyn is a knave.", "Assume Matthew is a knight. No contradiction is found in their claim that Evelyn is a knave or Penelope is a knight.", "Evelyn cannot be a knight, because this would contradict the claim of Matthew that Evelyn is a knave or Penelope is a knight.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Evelyn is a knight if and only if Emma is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that Matthew is a knight.", "Samuel cannot be a knight, because this would contradict the claim of their own that Lucas is a knave if and only if Emma is a knight.", "Assume Samuel is a knave. No contradiction is found in their false claim that Lucas is a knave if and only if Emma is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 1), ('telling-truth', 4)), ('and', ('telling-truth', 5), ('lying', 6)), ('or', ('lying', 3), ('telling-truth', 1)), ('<=>', ('telling-truth', 3), ('telling-truth', 0)), ('<=>', ('lying', 6), ('telling-truth', 0)), ('->', ('telling-truth', 2), ('lying', 3)), ('telling-truth', 2))", "index": 435}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Grace, Isabella, Jack, Matthew, Jackson, Sebastian, and Aiden. Grace was heard saying, \"Sebastian is a knight\". Isabella noted, \"Aiden is a knave if and only if Grace is a knight\". Jack said that Aiden is a knave. As Matthew put it, \"If Grace is a knight then Sebastian is a knight\". \"Aiden is a knight or Jack is a knight,\" Jackson declared. \"Jackson is a knight or Sebastian is a knight,\" Sebastian declared. According to Aiden, \"Jackson is not a knight\". So who is a knight and who is a knave?", "names": ["Grace", "Isabella", "Jack", "Matthew", "Jackson", "Sebastian", "Aiden"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, true, true, false], "solution_text": "Grace is a knight, Isabella is a knight, Jack is a knight, Matthew is a knight, Jackson is a knight, Sebastian is a knight, and Aiden is a knave.", "solution_text_format": "(1) Grace is a knight\n(2) Isabella is a knight\n(3) Jack is a knight\n(4) Matthew is a knight\n(5) Jackson is a knight\n(6) Sebastian is a knight\n(7) Aiden is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Grace is a knight. No contradiction is found in their claim that Sebastian is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Jackson is a knight or Sebastian is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that Aiden is a knight or Jack is a knight.", "Aiden cannot be a knight, because this would contradict the claim of their own that Jackson is not a knight.", "Assume Aiden is a knave. No contradiction is found in their false claim that Jackson is not a knight.", "Assume Jack is a knight. No contradiction is found in their claim that Aiden is a knave.", "Assume Isabella is a knight. No contradiction is found in their claim that Aiden is a knave if and only if Grace is a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that If Grace is a knight then Sebastian is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 5), ('<=>', ('lying', 6), ('telling-truth', 0)), ('lying', 6), ('->', ('telling-truth', 0), ('telling-truth', 5)), ('or', ('telling-truth', 6), ('telling-truth', 2)), ('or', ('telling-truth', 4), ('telling-truth', 5)), ('not', ('telling-truth', 4)))", "index": 436}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Lily, James, Liam, Abigail, Michael, William, and Penelope. Lily expressed that Liam is a knight or William is a knave. James remarked, \"William is a knight\". Liam was heard saying, \"If James is a knave then William is a knave\". According to Abigail, \"If Penelope is a knave then Lily is a knight\". In Michael's words: \"Penelope is a knight or Lily is a knave\". William was heard saying, \"James is a knave and Penelope is a knave\". Penelope was heard saying, \"William is a knave\". So who is a knight and who is a knave?", "names": ["Lily", "James", "Liam", "Abigail", "Michael", "William", "Penelope"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, true, false, true], "solution_text": "Lily is a knight, James is a knave, Liam is a knight, Abigail is a knight, Michael is a knight, William is a knave, and Penelope is a knight.", "solution_text_format": "(1) Lily is a knight\n(2) James is a knave\n(3) Liam is a knight\n(4) Abigail is a knight\n(5) Michael is a knight\n(6) William is a knave\n(7) Penelope is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Lily is a knight. No contradiction is found in their claim that Liam is a knight or William is a knave.", "Assume Liam is a knight. No contradiction is found in their claim that If James is a knave then William is a knave.", "Assume James is a knight. No contradiction is found in their claim that William is a knight.", "William cannot be a knight, because this would contradict the claim of their own that James is a knave and Penelope is a knave.", "William cannot be a knave, because this would contradict the claim of James that William is a knight.", "We have exhausted all possibilities for William, so let us go back and reconsider James.", "Assume James is a knave. No contradiction is found in their false claim that William is a knight.", "William cannot be a knight, because this would contradict the false claim of James that William is a knight.", "Assume William is a knave. No contradiction is found in their false claim that James is a knave and Penelope is a knave.", "Assume Penelope is a knight. No contradiction is found in their claim that William is a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that If Penelope is a knave then Lily is a knight.", "Assume Michael is a knight. No contradiction is found in their claim that Penelope is a knight or Lily is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 2), ('lying', 5)), ('telling-truth', 5), ('->', ('lying', 1), ('lying', 5)), ('->', ('lying', 6), ('telling-truth', 0)), ('or', ('telling-truth', 6), ('lying', 0)), ('and', ('lying', 1), ('lying', 6)), ('lying', 5))", "index": 437}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Aria, Jack, Logan, Benjamin, Penelope, Jackson, and Lucas. \"Benjamin is a knave and Lucas is a knight,\" Aria mentioned. As Jack put it, \"Aria is not a knave\". Logan commented, \"Aria is a knight or Lucas is a knight\". As Benjamin put it, \"Jack is a knight\". \"Penelope is a knight and Benjamin is a knight,\" Penelope mentioned. \"Jack is a knight if and only if Aria is a knight,\" Jackson mentioned. Lucas noted, \"Penelope is a knight and Logan is a knight\". So who is a knight and who is a knave?", "names": ["Aria", "Jack", "Logan", "Benjamin", "Penelope", "Jackson", "Lucas"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, false, false, true, false], "solution_text": "Aria is a knave, Jack is a knave, Logan is a knave, Benjamin is a knave, Penelope is a knave, Jackson is a knight, and Lucas is a knave.", "solution_text_format": "(1) Aria is a knave\n(2) Jack is a knave\n(3) Logan is a knave\n(4) Benjamin is a knave\n(5) Penelope is a knave\n(6) Jackson is a knight\n(7) Lucas is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aria is a knight. No contradiction is found in their claim that Benjamin is a knave and Lucas is a knight.", "Benjamin cannot be a knight, because this would contradict the claim of Aria that Benjamin is a knave and Lucas is a knight.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Jack is a knight.", "Jack cannot be a knight, because this would contradict the false claim of Benjamin that Jack is a knight.", "Jack cannot be a knave, because this would contradict the false claim of their own that Aria is not a knave.", "We have exhausted all possibilities for Jack and Benjamin, so let us go back and reconsider Aria.", "Assume Aria is a knave. No contradiction is found in their false claim that Benjamin is a knave and Lucas is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that Jack is a knight.", "Jack cannot be a knight, because this would contradict the claim of their own that Aria is not a knave.", "Jack cannot be a knave, because this would contradict the claim of Benjamin that Jack is a knight.", "We have exhausted all possibilities for Jack, so let us go back and reconsider Benjamin.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Jack is a knight.", "Jack cannot be a knight, because this would contradict the claim of their own that Aria is not a knave.", "Assume Jack is a knave. No contradiction is found in their false claim that Aria is not a knave.", "Lucas cannot be a knight, because this would contradict the false claim of Aria that Benjamin is a knave and Lucas is a knight.", "Assume Lucas is a knave. No contradiction is found in their false claim that Penelope is a knight and Logan is a knight.", "Penelope cannot be a knight, because this would contradict the claim of their own that Penelope is a knight and Benjamin is a knight.", "Assume Penelope is a knave. No contradiction is found in their false claim that Penelope is a knight and Benjamin is a knight.", "Logan cannot be a knight, because this would contradict the claim of their own that Aria is a knight or Lucas is a knight.", "Assume Logan is a knave. No contradiction is found in their false claim that Aria is a knight or Lucas is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that Jack is a knight if and only if Aria is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 3), ('telling-truth', 6)), ('not', ('lying', 0)), ('or', ('telling-truth', 0), ('telling-truth', 6)), ('telling-truth', 1), ('and', ('telling-truth', 4), ('telling-truth', 3)), ('<=>', ('telling-truth', 1), ('telling-truth', 0)), ('and', ('telling-truth', 4), ('telling-truth', 2)))", "index": 438}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: James, Henry, Sebastian, Scarlett, Jack, Samuel, and Jackson. James was heard saying, \"Henry is not a knave\". \"Jack is not a knave,\" Henry mentioned. In a statement by Sebastian: \"James is a knave\". Scarlett stated, \"Henry is a knight and Samuel is a knave\". According to Jack, \"Samuel is a knave and Jackson is a knave\". According to Samuel, \"Henry is a knight\". \"If Henry is a knight then Samuel is a knight,\" Jackson claimed. So who is a knight and who is a knave?", "names": ["James", "Henry", "Sebastian", "Scarlett", "Jack", "Samuel", "Jackson"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false, false, false, true], "solution_text": "James is a knave, Henry is a knave, Sebastian is a knight, Scarlett is a knave, Jack is a knave, Samuel is a knave, and Jackson is a knight.", "solution_text_format": "(1) James is a knave\n(2) Henry is a knave\n(3) Sebastian is a knight\n(4) Scarlett is a knave\n(5) Jack is a knave\n(6) Samuel is a knave\n(7) Jackson is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume James is a knight. No contradiction is found in their claim that Henry is not a knave.", "Assume Henry is a knight. No contradiction is found in their claim that Jack is not a knave.", "Assume Jack is a knight. No contradiction is found in their claim that Samuel is a knave and Jackson is a knave.", "Samuel cannot be a knight, because this would contradict the claim of Jack that Samuel is a knave and Jackson is a knave.", "Samuel cannot be a knave, because this would contradict the false claim of their own that Henry is a knight.", "We have exhausted all possibilities for Samuel, so let us go back and reconsider Jack.", "Jack cannot be a knave, because this would contradict the claim of Henry that Jack is not a knave.", "We have exhausted all possibilities for Jack, so let us go back and reconsider Henry.", "Henry cannot be a knave, because this would contradict the claim of James that Henry is not a knave.", "We have exhausted all possibilities for Henry, so let us go back and reconsider James.", "Assume James is a knave. No contradiction is found in their false claim that Henry is not a knave.", "Henry cannot be a knight, because this would contradict the false claim of James that Henry is not a knave.", "Assume Henry is a knave. No contradiction is found in their false claim that Jack is not a knave.", "Jack cannot be a knight, because this would contradict the false claim of Henry that Jack is not a knave.", "Assume Jack is a knave. No contradiction is found in their false claim that Samuel is a knave and Jackson is a knave.", "Samuel cannot be a knight, because this would contradict the claim of their own that Henry is a knight.", "Assume Samuel is a knave. No contradiction is found in their false claim that Henry is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that If Henry is a knight then Samuel is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that James is a knave.", "Scarlett cannot be a knight, because this would contradict the claim of their own that Henry is a knight and Samuel is a knave.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Henry is a knight and Samuel is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 1)), ('not', ('lying', 4)), ('lying', 0), ('and', ('telling-truth', 1), ('lying', 5)), ('and', ('lying', 5), ('lying', 6)), ('telling-truth', 1), ('->', ('telling-truth', 1), ('telling-truth', 5)))", "index": 439}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Liam, Aurora, James, Michael, Matthew, Sophia, and Scarlett. Liam remarked, \"James is a knave or James is a knight\". According to Aurora, \"James is a knight if and only if Michael is a knave\". In a statement by James: \"Michael is a knight if and only if Matthew is a knight\". Michael said, \"Sophia is a knight or Scarlett is a knight.\" \"If Scarlett is a knave then Liam is a knight,\" Matthew mentioned. \"Michael is a knave and James is a knight\" - Sophia. Scarlett expressed that Sophia is a knave or Liam is a knave. So who is a knight and who is a knave?", "names": ["Liam", "Aurora", "James", "Michael", "Matthew", "Sophia", "Scarlett"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, true, false, true], "solution_text": "Liam is a knight, Aurora is a knave, James is a knight, Michael is a knight, Matthew is a knight, Sophia is a knave, and Scarlett is a knight.", "solution_text_format": "(1) Liam is a knight\n(2) Aurora is a knave\n(3) James is a knight\n(4) Michael is a knight\n(5) Matthew is a knight\n(6) Sophia is a knave\n(7) Scarlett is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Liam is a knight. No contradiction is found in their claim that James is a knave or James is a knight.", "Assume James is a knight. No contradiction is found in their claim that Michael is a knight if and only if Matthew is a knight.", "Assume Michael is a knight. No contradiction is found in their claim that Sophia is a knight or Scarlett is a knight.", "Sophia cannot be a knight, because this would contradict the claim of their own that Michael is a knave and James is a knight.", "Assume Sophia is a knave. No contradiction is found in their false claim that Michael is a knave and James is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that Sophia is a knave or Liam is a knave.", "Assume Matthew is a knight. No contradiction is found in their claim that If Scarlett is a knave then Liam is a knight.", "Aurora cannot be a knight, because this would contradict the claim of their own that James is a knight if and only if Michael is a knave.", "Assume Aurora is a knave. No contradiction is found in their false claim that James is a knight if and only if Michael is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 2), ('telling-truth', 2)), ('<=>', ('telling-truth', 2), ('lying', 3)), ('<=>', ('telling-truth', 3), ('telling-truth', 4)), ('or', ('telling-truth', 5), ('telling-truth', 6)), ('->', ('lying', 6), ('telling-truth', 0)), ('and', ('lying', 3), ('telling-truth', 2)), ('or', ('lying', 5), ('lying', 0)))", "index": 440}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Emma, Jackson, Aria, Oliver, Olivia, Liam, and Henry. Emma asserted: \"Henry is a knave\". \"Liam is a knave,\" Jackson declared. As Aria put it, \"If Oliver is a knight then Liam is a knight\". Oliver noted, \"Henry is not a knave\". Olivia said, \"Olivia is a knight and Aria is a knight.\" Liam remarked, \"Henry is a knave and Oliver is a knave\". In Henry's words: \"Olivia is a knave and Liam is a knight\". So who is a knight and who is a knave?", "names": ["Emma", "Jackson", "Aria", "Oliver", "Olivia", "Liam", "Henry"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false, true, true, false], "solution_text": "Emma is a knight, Jackson is a knave, Aria is a knight, Oliver is a knave, Olivia is a knight, Liam is a knight, and Henry is a knave.", "solution_text_format": "(1) Emma is a knight\n(2) Jackson is a knave\n(3) Aria is a knight\n(4) Oliver is a knave\n(5) Olivia is a knight\n(6) Liam is a knight\n(7) Henry is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Emma is a knight. No contradiction is found in their claim that Henry is a knave.", "Henry cannot be a knight, because this would contradict the claim of Emma that Henry is a knave.", "Assume Henry is a knave. No contradiction is found in their false claim that Olivia is a knave and Liam is a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that Olivia is a knight and Aria is a knight.", "Assume Aria is a knight. No contradiction is found in their claim that If Oliver is a knight then Liam is a knight.", "Oliver cannot be a knight, because this would contradict the claim of their own that Henry is not a knave.", "Assume Oliver is a knave. No contradiction is found in their false claim that Henry is not a knave.", "Assume Liam is a knight. No contradiction is found in their claim that Henry is a knave and Oliver is a knave.", "Jackson cannot be a knight, because this would contradict the claim of their own that Liam is a knave.", "Assume Jackson is a knave. No contradiction is found in their false claim that Liam is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 6), ('lying', 5), ('->', ('telling-truth', 3), ('telling-truth', 5)), ('not', ('lying', 6)), ('and', ('telling-truth', 4), ('telling-truth', 2)), ('and', ('lying', 6), ('lying', 3)), ('and', ('lying', 4), ('telling-truth', 5)))", "index": 441}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Penelope, Michael, David, Lucas, Ava, Ethan, and Samuel. According to Penelope, \"Michael is not a knave\". \"Lucas is a knave if and only if Lucas is a knight,\" Michael declared. In David's words: \"Lucas is a knave\". According to Lucas, \"David is a knave or Michael is a knave\". As Ava put it, \"If Michael is a knave then Ethan is a knave\". \"Michael is not a knave,\" Ethan claimed. \"Ava is a knight if and only if Penelope is a knight\" - Samuel. So who is a knight and who is a knave?", "names": ["Penelope", "Michael", "David", "Lucas", "Ava", "Ethan", "Samuel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true, true, false, false], "solution_text": "Penelope is a knave, Michael is a knave, David is a knave, Lucas is a knight, Ava is a knight, Ethan is a knave, and Samuel is a knave.", "solution_text_format": "(1) Penelope is a knave\n(2) Michael is a knave\n(3) David is a knave\n(4) Lucas is a knight\n(5) Ava is a knight\n(6) Ethan is a knave\n(7) Samuel is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Penelope is a knight. No contradiction is found in their claim that Michael is not a knave.", "Michael cannot be a knight, because this would contradict the claim of their own that Lucas is a knave if and only if Lucas is a knight.", "Michael cannot be a knave, because this would contradict the claim of Penelope that Michael is not a knave.", "We have exhausted all possibilities for Michael, so let us go back and reconsider Penelope.", "Assume Penelope is a knave. No contradiction is found in their false claim that Michael is not a knave.", "Michael cannot be a knight, because this would contradict the false claim of Penelope that Michael is not a knave.", "Assume Michael is a knave. No contradiction is found in their false claim that Lucas is a knave if and only if Lucas is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that David is a knave or Michael is a knave.", "David cannot be a knight, because this would contradict the claim of their own that Lucas is a knave.", "Assume David is a knave. No contradiction is found in their false claim that Lucas is a knave.", "Assume Ava is a knight. No contradiction is found in their claim that If Michael is a knave then Ethan is a knave.", "Ethan cannot be a knight, because this would contradict the claim of Ava that If Michael is a knave then Ethan is a knave.", "Assume Ethan is a knave. No contradiction is found in their false claim that Michael is not a knave.", "Samuel cannot be a knight, because this would contradict the claim of their own that Ava is a knight if and only if Penelope is a knight.", "Assume Samuel is a knave. No contradiction is found in their false claim that Ava is a knight if and only if Penelope is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 1)), ('<=>', ('lying', 3), ('telling-truth', 3)), ('lying', 3), ('or', ('lying', 2), ('lying', 1)), ('->', ('lying', 1), ('lying', 5)), ('not', ('lying', 1)), ('<=>', ('telling-truth', 4), ('telling-truth', 0)))", "index": 442}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Grace, Liam, Olivia, Riley, James, Victoria, and Daniel. Grace commented, \"Liam is a knave\". Liam expressed that Daniel is a knight and James is a knight. Olivia was heard saying, \"Riley is a knave\". According to Riley, \"James is a knave or Riley is a knight\". \"Riley is a knave if and only if Liam is a knight,\" James claimed. Victoria expressed that James is a knight if and only if Daniel is a knight. Daniel noted, \"Grace is a knight and Riley is a knave\". So who is a knight and who is a knave?", "names": ["Grace", "Liam", "Olivia", "Riley", "James", "Victoria", "Daniel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, true, false, false], "solution_text": "Grace is a knight, Liam is a knave, Olivia is a knave, Riley is a knight, James is a knight, Victoria is a knave, and Daniel is a knave.", "solution_text_format": "(1) Grace is a knight\n(2) Liam is a knave\n(3) Olivia is a knave\n(4) Riley is a knight\n(5) James is a knight\n(6) Victoria is a knave\n(7) Daniel is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Grace is a knight. No contradiction is found in their claim that Liam is a knave.", "Liam cannot be a knight, because this would contradict the claim of Grace that Liam is a knave.", "Assume Liam is a knave. No contradiction is found in their false claim that Daniel is a knight and James is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that Grace is a knight and Riley is a knave.", "Riley cannot be a knight, because this would contradict the claim of Daniel that Grace is a knight and Riley is a knave.", "Assume Riley is a knave. No contradiction is found in their false claim that James is a knave or Riley is a knight.", "James cannot be a knight, because this would contradict the false claim of Liam that Daniel is a knight and James is a knight.", "James cannot be a knave, because this would contradict the false claim of Riley that James is a knave or Riley is a knight.", "We have exhausted all possibilities for James and Riley, so let us go back and reconsider Daniel.", "Assume Daniel is a knave. No contradiction is found in their false claim that Grace is a knight and Riley is a knave.", "Assume Riley is a knight. No contradiction is found in their claim that James is a knave or Riley is a knight.", "Assume James is a knight. No contradiction is found in their claim that Riley is a knave if and only if Liam is a knight.", "Olivia cannot be a knight, because this would contradict the claim of their own that Riley is a knave.", "Assume Olivia is a knave. No contradiction is found in their false claim that Riley is a knave.", "Victoria cannot be a knight, because this would contradict the claim of their own that James is a knight if and only if Daniel is a knight.", "Assume Victoria is a knave. No contradiction is found in their false claim that James is a knight if and only if Daniel is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('and', ('telling-truth', 6), ('telling-truth', 4)), ('lying', 3), ('or', ('lying', 4), ('telling-truth', 3)), ('<=>', ('lying', 3), ('telling-truth', 1)), ('<=>', ('telling-truth', 4), ('telling-truth', 6)), ('and', ('telling-truth', 0), ('lying', 3)))", "index": 443}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Henry, Olivia, Ethan, Harper, Alexander, Scarlett, and Logan. Henry commented, \"If Logan is a knave then Alexander is a knave\". Olivia remarked, \"Harper is not a knight\". Ethan expressed that Henry is not a knave. Harper asserted: \"If Olivia is a knight then Alexander is a knave\". In Alexander's words: \"Harper is not a knave\". Scarlett stated, \"Alexander is a knave if and only if Ethan is a knight\". Logan was heard saying, \"Harper is not a knight\". So who is a knight and who is a knave?", "names": ["Henry", "Olivia", "Ethan", "Harper", "Alexander", "Scarlett", "Logan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true, true, true, false], "solution_text": "Henry is a knave, Olivia is a knave, Ethan is a knave, Harper is a knight, Alexander is a knight, Scarlett is a knight, and Logan is a knave.", "solution_text_format": "(1) Henry is a knave\n(2) Olivia is a knave\n(3) Ethan is a knave\n(4) Harper is a knight\n(5) Alexander is a knight\n(6) Scarlett is a knight\n(7) Logan is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Henry is a knight. No contradiction is found in their claim that If Logan is a knave then Alexander is a knave.", "Assume Logan is a knight. No contradiction is found in their claim that Harper is not a knight.", "Harper cannot be a knight, because this would contradict the claim of Logan that Harper is not a knight.", "Assume Harper is a knave. No contradiction is found in their false claim that If Olivia is a knight then Alexander is a knave.", "Assume Olivia is a knight. No contradiction is found in their claim that Harper is not a knight.", "Alexander cannot be a knight, because this would contradict the claim of their own that Harper is not a knave.", "Alexander cannot be a knave, because this would contradict the false claim of Harper that If Olivia is a knight then Alexander is a knave.", "We have exhausted all possibilities for Alexander, so let us go back and reconsider Olivia.", "Olivia cannot be a knave, because this would contradict the false claim of their own that Harper is not a knight.", "We have exhausted all possibilities for Olivia and Harper, so let us go back and reconsider Logan.", "Assume Logan is a knave. No contradiction is found in their false claim that Harper is not a knight.", "Assume Harper is a knight. No contradiction is found in their claim that If Olivia is a knight then Alexander is a knave.", "Olivia cannot be a knight, because this would contradict the claim of their own that Harper is not a knight.", "Assume Olivia is a knave. No contradiction is found in their false claim that Harper is not a knight.", "Alexander cannot be a knight, because this would contradict the claim of Henry that If Logan is a knave then Alexander is a knave.", "Alexander cannot be a knave, because this would contradict the false claim of their own that Harper is not a knave.", "We have exhausted all possibilities for Alexander and Olivia, so let us go back and reconsider Harper.", "Harper cannot be a knave, because this would contradict the false claim of Logan that Harper is not a knight.", "We have exhausted all possibilities for Harper and Logan, so let us go back and reconsider Henry.", "Assume Henry is a knave. No contradiction is found in their false claim that If Logan is a knave then Alexander is a knave.", "Logan cannot be a knight, because this would contradict the false claim of Henry that If Logan is a knave then Alexander is a knave.", "Assume Logan is a knave. No contradiction is found in their false claim that Harper is not a knight.", "Assume Harper is a knight. No contradiction is found in their claim that If Olivia is a knight then Alexander is a knave.", "Olivia cannot be a knight, because this would contradict the claim of their own that Harper is not a knight.", "Assume Olivia is a knave. No contradiction is found in their false claim that Harper is not a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that Harper is not a knave.", "Ethan cannot be a knight, because this would contradict the claim of their own that Henry is not a knave.", "Assume Ethan is a knave. No contradiction is found in their false claim that Henry is not a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that Alexander is a knave if and only if Ethan is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 6), ('lying', 4)), ('not', ('telling-truth', 3)), ('not', ('lying', 0)), ('->', ('telling-truth', 1), ('lying', 4)), ('not', ('lying', 3)), ('<=>', ('lying', 4), ('telling-truth', 2)), ('not', ('telling-truth', 3)))", "index": 444}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Benjamin, Jack, Alexander, Victoria, Isabella, Logan, and Harper. Benjamin noted, \"If Harper is a knave then Logan is a knave\". Jack asserted: \"If Harper is a knave then Victoria is a knave\". Alexander stated, \"Victoria is a knave\". \"Logan is a knight\" - Victoria. Isabella stated, \"Harper is a knight or Logan is a knight\". According to Logan, \"Harper is a knave or Benjamin is a knave\". Harper stated, \"Jack is a knight or Victoria is a knight\". So who is a knight and who is a knave?", "names": ["Benjamin", "Jack", "Alexander", "Victoria", "Isabella", "Logan", "Harper"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false, true, false, true], "solution_text": "Benjamin is a knight, Jack is a knight, Alexander is a knight, Victoria is a knave, Isabella is a knight, Logan is a knave, and Harper is a knight.", "solution_text_format": "(1) Benjamin is a knight\n(2) Jack is a knight\n(3) Alexander is a knight\n(4) Victoria is a knave\n(5) Isabella is a knight\n(6) Logan is a knave\n(7) Harper is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Benjamin is a knight. No contradiction is found in their claim that If Harper is a knave then Logan is a knave.", "Assume Harper is a knight. No contradiction is found in their claim that Jack is a knight or Victoria is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that If Harper is a knave then Victoria is a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that Logan is a knight.", "Logan cannot be a knight, because this would contradict the claim of their own that Harper is a knave or Benjamin is a knave.", "Logan cannot be a knave, because this would contradict the claim of Victoria that Logan is a knight.", "We have exhausted all possibilities for Logan, so let us go back and reconsider Victoria.", "Assume Victoria is a knave. No contradiction is found in their false claim that Logan is a knight.", "Logan cannot be a knight, because this would contradict the false claim of Victoria that Logan is a knight.", "Assume Logan is a knave. No contradiction is found in their false claim that Harper is a knave or Benjamin is a knave.", "Assume Alexander is a knight. No contradiction is found in their claim that Victoria is a knave.", "Assume Isabella is a knight. No contradiction is found in their claim that Harper is a knight or Logan is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 6), ('lying', 5)), ('->', ('lying', 6), ('lying', 3)), ('lying', 3), ('telling-truth', 5), ('or', ('telling-truth', 6), ('telling-truth', 5)), ('or', ('lying', 6), ('lying', 0)), ('or', ('telling-truth', 1), ('telling-truth', 3)))", "index": 445}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Emily, Sophia, James, Jackson, Olivia, Jack, and Luke. Emily said, \"If James is a knight then James is a knave.\" According to Sophia, \"Emily is a knight\". \"Jackson is a knave and Olivia is a knight,\" James declared. According to Jackson, \"Emily is a knight or Olivia is a knight\". \"Luke is a knight and Jackson is a knave\" - Olivia. Jack was heard saying, \"James is a knight\". In Luke's words: \"If Jackson is a knight then Sophia is a knight\". So who is a knight and who is a knave?", "names": ["Emily", "Sophia", "James", "Jackson", "Olivia", "Jack", "Luke"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true, false, false, true], "solution_text": "Emily is a knight, Sophia is a knight, James is a knave, Jackson is a knight, Olivia is a knave, Jack is a knave, and Luke is a knight.", "solution_text_format": "(1) Emily is a knight\n(2) Sophia is a knight\n(3) James is a knave\n(4) Jackson is a knight\n(5) Olivia is a knave\n(6) Jack is a knave\n(7) Luke is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Emily is a knight. No contradiction is found in their claim that If James is a knight then James is a knave.", "James cannot be a knight, because this would contradict the claim of Emily that If James is a knight then James is a knave.", "Assume James is a knave. No contradiction is found in their false claim that Jackson is a knave and Olivia is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that Emily is a knight or Olivia is a knight.", "Olivia cannot be a knight, because this would contradict the claim of their own that Luke is a knight and Jackson is a knave.", "Assume Olivia is a knave. No contradiction is found in their false claim that Luke is a knight and Jackson is a knave.", "Assume Luke is a knight. No contradiction is found in their claim that If Jackson is a knight then Sophia is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that Emily is a knight.", "Jack cannot be a knight, because this would contradict the claim of their own that James is a knight.", "Assume Jack is a knave. No contradiction is found in their false claim that James is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 2), ('lying', 2)), ('telling-truth', 0), ('and', ('lying', 3), ('telling-truth', 4)), ('or', ('telling-truth', 0), ('telling-truth', 4)), ('and', ('telling-truth', 6), ('lying', 3)), ('telling-truth', 2), ('->', ('telling-truth', 3), ('telling-truth', 1)))", "index": 446}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Scarlett, Aiden, Amelia, Jacob, Isabella, Harper, and James. Scarlett said that Amelia is a knave and James is a knave. \"Jacob is not a knight,\" Aiden claimed. Amelia expressed that Harper is a knight if and only if Scarlett is a knight. Jacob was heard saying, \"Harper is a knave and James is a knight\". Isabella remarked, \"Jacob is a knave and James is a knave\". Harper expressed that Isabella is a knave and James is a knight. James remarked, \"Amelia is a knight and Aiden is a knight\". So who is a knight and who is a knave?", "names": ["Scarlett", "Aiden", "Amelia", "Jacob", "Isabella", "Harper", "James"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false, true, false, false], "solution_text": "Scarlett is a knight, Aiden is a knight, Amelia is a knave, Jacob is a knave, Isabella is a knight, Harper is a knave, and James is a knave.", "solution_text_format": "(1) Scarlett is a knight\n(2) Aiden is a knight\n(3) Amelia is a knave\n(4) Jacob is a knave\n(5) Isabella is a knight\n(6) Harper is a knave\n(7) James is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Scarlett is a knight. No contradiction is found in their claim that Amelia is a knave and James is a knave.", "Amelia cannot be a knight, because this would contradict the claim of Scarlett that Amelia is a knave and James is a knave.", "Assume Amelia is a knave. No contradiction is found in their false claim that Harper is a knight if and only if Scarlett is a knight.", "Harper cannot be a knight, because this would contradict the false claim of Amelia that Harper is a knight if and only if Scarlett is a knight.", "Assume Harper is a knave. No contradiction is found in their false claim that Isabella is a knave and James is a knight.", "Assume Isabella is a knight. No contradiction is found in their claim that Jacob is a knave and James is a knave.", "Jacob cannot be a knight, because this would contradict the claim of Isabella that Jacob is a knave and James is a knave.", "Assume Jacob is a knave. No contradiction is found in their false claim that Harper is a knave and James is a knight.", "James cannot be a knight, because this would contradict the claim of Scarlett that Amelia is a knave and James is a knave.", "Assume James is a knave. No contradiction is found in their false claim that Amelia is a knight and Aiden is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that Jacob is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('lying', 6)), ('not', ('telling-truth', 3)), ('<=>', ('telling-truth', 5), ('telling-truth', 0)), ('and', ('lying', 5), ('telling-truth', 6)), ('and', ('lying', 3), ('lying', 6)), ('and', ('lying', 4), ('telling-truth', 6)), ('and', ('telling-truth', 2), ('telling-truth', 1)))", "index": 447}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Ava, Owen, Lucas, Luke, Victoria, Jackson, and Mia. Ava asserted: \"Victoria is a knave if and only if Owen is a knight\". \"Mia is a knight and Mia is a knave\" - Owen. In Lucas's words: \"Owen is not a knight\". As Luke put it, \"If Lucas is a knave then Mia is a knave\". \"Ava is a knave and Lucas is a knave,\" Victoria mentioned. \"Victoria is a knight or Ava is a knave,\" Jackson declared. According to Mia, \"Ava is a knave if and only if Owen is a knave\". So who is a knight and who is a knave?", "names": ["Ava", "Owen", "Lucas", "Luke", "Victoria", "Jackson", "Mia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true, false, true, true], "solution_text": "Ava is a knave, Owen is a knave, Lucas is a knight, Luke is a knight, Victoria is a knave, Jackson is a knight, and Mia is a knight.", "solution_text_format": "(1) Ava is a knave\n(2) Owen is a knave\n(3) Lucas is a knight\n(4) Luke is a knight\n(5) Victoria is a knave\n(6) Jackson is a knight\n(7) Mia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ava is a knight. No contradiction is found in their claim that Victoria is a knave if and only if Owen is a knight.", "Victoria cannot be a knight, because this would contradict the claim of their own that Ava is a knave and Lucas is a knave.", "Assume Victoria is a knave. No contradiction is found in their false claim that Ava is a knave and Lucas is a knave.", "Assume Lucas is a knight. No contradiction is found in their claim that Owen is not a knight.", "Owen cannot be a knight, because this would contradict the claim of their own that Mia is a knight and Mia is a knave.", "Owen cannot be a knave, because this would contradict the claim of Ava that Victoria is a knave if and only if Owen is a knight.", "We have exhausted all possibilities for Owen, so let us go back and reconsider Lucas.", "Assume Lucas is a knave. No contradiction is found in their false claim that Owen is not a knight.", "Owen cannot be a knight, because this would contradict the claim of their own that Mia is a knight and Mia is a knave.", "Owen cannot be a knave, because this would contradict the claim of Ava that Victoria is a knave if and only if Owen is a knight.", "We have exhausted all possibilities for Owen, Lucas, and Victoria, so let us go back and reconsider Ava.", "Assume Ava is a knave. No contradiction is found in their false claim that Victoria is a knave if and only if Owen is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that Ava is a knave and Lucas is a knave.", "Lucas cannot be a knight, because this would contradict the claim of Victoria that Ava is a knave and Lucas is a knave.", "Assume Lucas is a knave. No contradiction is found in their false claim that Owen is not a knight.", "Owen cannot be a knight, because this would contradict the claim of their own that Mia is a knight and Mia is a knave.", "Owen cannot be a knave, because this would contradict the false claim of Ava that Victoria is a knave if and only if Owen is a knight.", "We have exhausted all possibilities for Owen and Lucas, so let us go back and reconsider Victoria.", "Assume Victoria is a knave. No contradiction is found in their false claim that Ava is a knave and Lucas is a knave.", "Assume Lucas is a knight. No contradiction is found in their claim that Owen is not a knight.", "Owen cannot be a knight, because this would contradict the false claim of Ava that Victoria is a knave if and only if Owen is a knight.", "Assume Owen is a knave. No contradiction is found in their false claim that Mia is a knight and Mia is a knave.", "Assume Mia is a knight. No contradiction is found in their claim that Ava is a knave if and only if Owen is a knave.", "Assume Luke is a knight. No contradiction is found in their claim that If Lucas is a knave then Mia is a knave.", "Assume Jackson is a knight. No contradiction is found in their claim that Victoria is a knight or Ava is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 4), ('telling-truth', 1)), ('and', ('telling-truth', 6), ('lying', 6)), ('not', ('telling-truth', 1)), ('->', ('lying', 2), ('lying', 6)), ('and', ('lying', 0), ('lying', 2)), ('or', ('telling-truth', 4), ('lying', 0)), ('<=>', ('lying', 0), ('lying', 1)))", "index": 448}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Sophia, Victoria, Sebastian, Liam, Charlotte, Jackson, and Aria. \"If Victoria is a knight then Sebastian is a knave,\" Sophia declared. \"Charlotte is a knight,\" Victoria mentioned. Sebastian told you that Victoria is a knight. According to Liam, \"Liam is a knight and Aria is a knight\". According to Charlotte, \"Jackson is a knave and Charlotte is a knight\". In Jackson's words: \"Charlotte is a knight or Liam is a knave\". As Aria put it, \"Liam is not a knight\". So who is a knight and who is a knave?", "names": ["Sophia", "Victoria", "Sebastian", "Liam", "Charlotte", "Jackson", "Aria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false, false, true, true], "solution_text": "Sophia is a knight, Victoria is a knave, Sebastian is a knave, Liam is a knave, Charlotte is a knave, Jackson is a knight, and Aria is a knight.", "solution_text_format": "(1) Sophia is a knight\n(2) Victoria is a knave\n(3) Sebastian is a knave\n(4) Liam is a knave\n(5) Charlotte is a knave\n(6) Jackson is a knight\n(7) Aria is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sophia is a knight. No contradiction is found in their claim that If Victoria is a knight then Sebastian is a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that Charlotte is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that Jackson is a knave and Charlotte is a knight.", "Jackson cannot be a knight, because this would contradict the claim of Charlotte that Jackson is a knave and Charlotte is a knight.", "Jackson cannot be a knave, because this would contradict the false claim of their own that Charlotte is a knight or Liam is a knave.", "We have exhausted all possibilities for Jackson, so let us go back and reconsider Charlotte.", "Charlotte cannot be a knave, because this would contradict the claim of Victoria that Charlotte is a knight.", "We have exhausted all possibilities for Charlotte, so let us go back and reconsider Victoria.", "Assume Victoria is a knave. No contradiction is found in their false claim that Charlotte is a knight.", "Charlotte cannot be a knight, because this would contradict the false claim of Victoria that Charlotte is a knight.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Jackson is a knave and Charlotte is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that Charlotte is a knight or Liam is a knave.", "Liam cannot be a knight, because this would contradict the claim of Jackson that Charlotte is a knight or Liam is a knave.", "Assume Liam is a knave. No contradiction is found in their false claim that Liam is a knight and Aria is a knight.", "Assume Aria is a knight. No contradiction is found in their claim that Liam is not a knight.", "Sebastian cannot be a knight, because this would contradict the claim of their own that Victoria is a knight.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Victoria is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 1), ('lying', 2)), ('telling-truth', 4), ('telling-truth', 1), ('and', ('telling-truth', 3), ('telling-truth', 6)), ('and', ('lying', 5), ('telling-truth', 4)), ('or', ('telling-truth', 4), ('lying', 3)), ('not', ('telling-truth', 3)))", "index": 449}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Lily, Ethan, Aiden, Luke, Liam, Abigail, and Avery. \"Liam is a knight and Ethan is a knave,\" Lily declared. Ethan stated, \"Lily is not a knave\". Aiden said, \"If Luke is a knave then Ethan is a knight.\" In Luke's words: \"Ethan is a knave or Aiden is a knave\". Liam commented, \"Avery is a knight and Aiden is a knight\". In a statement by Abigail: \"If Lily is a knight then Luke is a knave\". According to Avery, \"Abigail is not a knight\". So who is a knight and who is a knave?", "names": ["Lily", "Ethan", "Aiden", "Luke", "Liam", "Abigail", "Avery"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true, false, true, false], "solution_text": "Lily is a knave, Ethan is a knave, Aiden is a knight, Luke is a knight, Liam is a knave, Abigail is a knight, and Avery is a knave.", "solution_text_format": "(1) Lily is a knave\n(2) Ethan is a knave\n(3) Aiden is a knight\n(4) Luke is a knight\n(5) Liam is a knave\n(6) Abigail is a knight\n(7) Avery is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Lily is a knight. No contradiction is found in their claim that Liam is a knight and Ethan is a knave.", "Assume Liam is a knight. No contradiction is found in their claim that Avery is a knight and Aiden is a knight.", "Assume Avery is a knight. No contradiction is found in their claim that Abigail is not a knight.", "Abigail cannot be a knight, because this would contradict the claim of Avery that Abigail is not a knight.", "Assume Abigail is a knave. No contradiction is found in their false claim that If Lily is a knight then Luke is a knave.", "Assume Luke is a knight. No contradiction is found in their claim that Ethan is a knave or Aiden is a knave.", "Ethan cannot be a knight, because this would contradict the claim of Lily that Liam is a knight and Ethan is a knave.", "Ethan cannot be a knave, because this would contradict the false claim of their own that Lily is not a knave.", "We have exhausted all possibilities for Ethan, so let us go back and reconsider Luke.", "Luke cannot be a knave, because this would contradict the false claim of Abigail that If Lily is a knight then Luke is a knave.", "We have exhausted all possibilities for Luke and Abigail, so let us go back and reconsider Avery.", "Avery cannot be a knave, because this would contradict the claim of Liam that Avery is a knight and Aiden is a knight.", "We have exhausted all possibilities for Avery, so let us go back and reconsider Liam.", "Liam cannot be a knave, because this would contradict the claim of Lily that Liam is a knight and Ethan is a knave.", "We have exhausted all possibilities for Liam, so let us go back and reconsider Lily.", "Assume Lily is a knave. No contradiction is found in their false claim that Liam is a knight and Ethan is a knave.", "Assume Liam is a knight. No contradiction is found in their claim that Avery is a knight and Aiden is a knight.", "Assume Avery is a knight. No contradiction is found in their claim that Abigail is not a knight.", "Abigail cannot be a knight, because this would contradict the claim of Avery that Abigail is not a knight.", "Abigail cannot be a knave, because this would contradict the false claim of their own that If Lily is a knight then Luke is a knave.", "We have exhausted all possibilities for Abigail, so let us go back and reconsider Avery.", "Avery cannot be a knave, because this would contradict the claim of Liam that Avery is a knight and Aiden is a knight.", "We have exhausted all possibilities for Avery, so let us go back and reconsider Liam.", "Assume Liam is a knave. No contradiction is found in their false claim that Avery is a knight and Aiden is a knight.", "Assume Avery is a knight. No contradiction is found in their claim that Abigail is not a knight.", "Abigail cannot be a knight, because this would contradict the claim of Avery that Abigail is not a knight.", "Abigail cannot be a knave, because this would contradict the false claim of their own that If Lily is a knight then Luke is a knave.", "We have exhausted all possibilities for Abigail, so let us go back and reconsider Avery.", "Assume Avery is a knave. No contradiction is found in their false claim that Abigail is not a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that If Lily is a knight then Luke is a knave.", "Assume Luke is a knight. No contradiction is found in their claim that Ethan is a knave or Aiden is a knave.", "Ethan cannot be a knight, because this would contradict the claim of their own that Lily is not a knave.", "Assume Ethan is a knave. No contradiction is found in their false claim that Lily is not a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that If Luke is a knave then Ethan is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 4), ('lying', 1)), ('not', ('lying', 0)), ('->', ('lying', 3), ('telling-truth', 1)), ('or', ('lying', 1), ('lying', 2)), ('and', ('telling-truth', 6), ('telling-truth', 2)), ('->', ('telling-truth', 0), ('lying', 3)), ('not', ('telling-truth', 5)))", "index": 450}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Joseph, Michael, Victoria, Ethan, Lucas, Aria, and Abigail. Joseph said that Michael is a knave. In Michael's words: \"Victoria is a knight\". Victoria expressed that If Abigail is a knave then Joseph is a knave. Ethan noted, \"Michael is a knight\". Lucas told you that Victoria is a knave. Aria remarked, \"Victoria is a knight if and only if Lucas is a knight\". Abigail commented, \"Lucas is a knight if and only if Michael is a knave\". So who is a knight and who is a knave?", "names": ["Joseph", "Michael", "Victoria", "Ethan", "Lucas", "Aria", "Abigail"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, false, false, true], "solution_text": "Joseph is a knave, Michael is a knight, Victoria is a knight, Ethan is a knight, Lucas is a knave, Aria is a knave, and Abigail is a knight.", "solution_text_format": "(1) Joseph is a knave\n(2) Michael is a knight\n(3) Victoria is a knight\n(4) Ethan is a knight\n(5) Lucas is a knave\n(6) Aria is a knave\n(7) Abigail is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Joseph is a knight. No contradiction is found in their claim that Michael is a knave.", "Michael cannot be a knight, because this would contradict the claim of Joseph that Michael is a knave.", "Assume Michael is a knave. No contradiction is found in their false claim that Victoria is a knight.", "Victoria cannot be a knight, because this would contradict the false claim of Michael that Victoria is a knight.", "Assume Victoria is a knave. No contradiction is found in their false claim that If Abigail is a knave then Joseph is a knave.", "Abigail cannot be a knight, because this would contradict the false claim of Victoria that If Abigail is a knave then Joseph is a knave.", "Assume Abigail is a knave. No contradiction is found in their false claim that Lucas is a knight if and only if Michael is a knave.", "Lucas cannot be a knight, because this would contradict the false claim of Abigail that Lucas is a knight if and only if Michael is a knave.", "Lucas cannot be a knave, because this would contradict the false claim of their own that Victoria is a knave.", "We have exhausted all possibilities for Lucas, Abigail, Victoria, and Michael, so let us go back and reconsider Joseph.", "Assume Joseph is a knave. No contradiction is found in their false claim that Michael is a knave.", "Assume Michael is a knight. No contradiction is found in their claim that Victoria is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that If Abigail is a knave then Joseph is a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that Lucas is a knight if and only if Michael is a knave.", "Lucas cannot be a knight, because this would contradict the claim of their own that Victoria is a knave.", "Assume Lucas is a knave. No contradiction is found in their false claim that Victoria is a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that Michael is a knight.", "Aria cannot be a knight, because this would contradict the claim of their own that Victoria is a knight if and only if Lucas is a knight.", "Assume Aria is a knave. No contradiction is found in their false claim that Victoria is a knight if and only if Lucas is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('telling-truth', 2), ('->', ('lying', 6), ('lying', 0)), ('telling-truth', 1), ('lying', 2), ('<=>', ('telling-truth', 2), ('telling-truth', 4)), ('<=>', ('telling-truth', 4), ('lying', 1)))", "index": 451}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Charlotte, Ella, Aurora, Oliver, Matthew, Evelyn, and Luke. \"Matthew is not a knight,\" Charlotte mentioned. According to Ella, \"Evelyn is a knight or Ella is a knight\". \"Luke is a knave if and only if Ella is a knight\" - Aurora. \"Aurora is a knave if and only if Evelyn is a knight,\" Oliver mentioned. \"Evelyn is a knight if and only if Ella is a knight,\" Matthew claimed. \"Ella is a knight or Matthew is a knight\" - Evelyn. Luke noted, \"Matthew is a knave\". So who is a knight and who is a knave?", "names": ["Charlotte", "Ella", "Aurora", "Oliver", "Matthew", "Evelyn", "Luke"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false, true, true, false], "solution_text": "Charlotte is a knave, Ella is a knight, Aurora is a knight, Oliver is a knave, Matthew is a knight, Evelyn is a knight, and Luke is a knave.", "solution_text_format": "(1) Charlotte is a knave\n(2) Ella is a knight\n(3) Aurora is a knight\n(4) Oliver is a knave\n(5) Matthew is a knight\n(6) Evelyn is a knight\n(7) Luke is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Charlotte is a knight. No contradiction is found in their claim that Matthew is not a knight.", "Matthew cannot be a knight, because this would contradict the claim of Charlotte that Matthew is not a knight.", "Assume Matthew is a knave. No contradiction is found in their false claim that Evelyn is a knight if and only if Ella is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that Ella is a knight or Matthew is a knight.", "Ella cannot be a knight, because this would contradict the false claim of Matthew that Evelyn is a knight if and only if Ella is a knight.", "Ella cannot be a knave, because this would contradict the false claim of their own that Evelyn is a knight or Ella is a knight.", "We have exhausted all possibilities for Ella, so let us go back and reconsider Evelyn.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Ella is a knight or Matthew is a knight.", "Ella cannot be a knight, because this would contradict the false claim of Evelyn that Ella is a knight or Matthew is a knight.", "Ella cannot be a knave, because this would contradict the false claim of Matthew that Evelyn is a knight if and only if Ella is a knight.", "We have exhausted all possibilities for Ella, Evelyn, and Matthew, so let us go back and reconsider Charlotte.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Matthew is not a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that Evelyn is a knight if and only if Ella is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that Ella is a knight or Matthew is a knight.", "Assume Ella is a knight. No contradiction is found in their claim that Evelyn is a knight or Ella is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that Luke is a knave if and only if Ella is a knight.", "Luke cannot be a knight, because this would contradict the claim of Aurora that Luke is a knave if and only if Ella is a knight.", "Assume Luke is a knave. No contradiction is found in their false claim that Matthew is a knave.", "Oliver cannot be a knight, because this would contradict the claim of their own that Aurora is a knave if and only if Evelyn is a knight.", "Assume Oliver is a knave. No contradiction is found in their false claim that Aurora is a knave if and only if Evelyn is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 4)), ('or', ('telling-truth', 5), ('telling-truth', 1)), ('<=>', ('lying', 6), ('telling-truth', 1)), ('<=>', ('lying', 2), ('telling-truth', 5)), ('<=>', ('telling-truth', 5), ('telling-truth', 1)), ('or', ('telling-truth', 1), ('telling-truth', 4)), ('lying', 4))", "index": 452}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Noah, Oliver, Jacob, Samuel, David, Jack, and Ella. Noah told you that Samuel is a knight if and only if Oliver is a knave. Oliver commented, \"Noah is a knight if and only if Ella is a knight\". According to Jacob, \"Noah is a knight or Samuel is a knight\". Samuel said, \"Oliver is a knave.\" David asserted: \"If Samuel is a knight then Oliver is a knight\". Jack said, \"David is a knave or Jack is a knight.\" In a statement by Ella: \"David is a knave or Jack is a knight\". So who is a knight and who is a knave?", "names": ["Noah", "Oliver", "Jacob", "Samuel", "David", "Jack", "Ella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false, true, true, true], "solution_text": "Noah is a knight, Oliver is a knight, Jacob is a knight, Samuel is a knave, David is a knight, Jack is a knight, and Ella is a knight.", "solution_text_format": "(1) Noah is a knight\n(2) Oliver is a knight\n(3) Jacob is a knight\n(4) Samuel is a knave\n(5) David is a knight\n(6) Jack is a knight\n(7) Ella is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Noah is a knight. No contradiction is found in their claim that Samuel is a knight if and only if Oliver is a knave.", "Assume Samuel is a knight. No contradiction is found in their claim that Oliver is a knave.", "Oliver cannot be a knight, because this would contradict the claim of Noah that Samuel is a knight if and only if Oliver is a knave.", "Assume Oliver is a knave. No contradiction is found in their false claim that Noah is a knight if and only if Ella is a knight.", "Ella cannot be a knight, because this would contradict the false claim of Oliver that Noah is a knight if and only if Ella is a knight.", "Assume Ella is a knave. No contradiction is found in their false claim that David is a knave or Jack is a knight.", "David cannot be a knight, because this would contradict the claim of their own that If Samuel is a knight then Oliver is a knight.", "David cannot be a knave, because this would contradict the false claim of Ella that David is a knave or Jack is a knight.", "We have exhausted all possibilities for David, Ella, and Oliver, so let us go back and reconsider Samuel.", "Assume Samuel is a knave. No contradiction is found in their false claim that Oliver is a knave.", "Assume Oliver is a knight. No contradiction is found in their claim that Noah is a knight if and only if Ella is a knight.", "Assume Ella is a knight. No contradiction is found in their claim that David is a knave or Jack is a knight.", "Assume David is a knight. No contradiction is found in their claim that If Samuel is a knight then Oliver is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that David is a knave or Jack is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that Noah is a knight or Samuel is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 3), ('lying', 1)), ('<=>', ('telling-truth', 0), ('telling-truth', 6)), ('or', ('telling-truth', 0), ('telling-truth', 3)), ('lying', 1), ('->', ('telling-truth', 3), ('telling-truth', 1)), ('or', ('lying', 4), ('telling-truth', 5)), ('or', ('lying', 4), ('telling-truth', 5)))", "index": 453}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Riley, Avery, Joseph, Henry, Harper, Ethan, and Amelia. \"Henry is a knave or Amelia is a knave,\" Riley claimed. Avery commented, \"If Riley is a knight then Joseph is a knight\". \"Avery is a knave or Riley is a knight,\" Joseph declared. Henry told you that Avery is a knave and Ethan is a knave. In a statement by Harper: \"Henry is a knight and Amelia is a knave\". Ethan told you that Henry is a knave or Avery is a knave. Amelia expressed that If Harper is a knight then Joseph is a knight. So who is a knight and who is a knave?", "names": ["Riley", "Avery", "Joseph", "Henry", "Harper", "Ethan", "Amelia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false, false, true, true], "solution_text": "Riley is a knight, Avery is a knight, Joseph is a knight, Henry is a knave, Harper is a knave, Ethan is a knight, and Amelia is a knight.", "solution_text_format": "(1) Riley is a knight\n(2) Avery is a knight\n(3) Joseph is a knight\n(4) Henry is a knave\n(5) Harper is a knave\n(6) Ethan is a knight\n(7) Amelia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Riley is a knight. No contradiction is found in their claim that Henry is a knave or Amelia is a knave.", "Assume Henry is a knight. No contradiction is found in their claim that Avery is a knave and Ethan is a knave.", "Avery cannot be a knight, because this would contradict the claim of Henry that Avery is a knave and Ethan is a knave.", "Assume Avery is a knave. No contradiction is found in their false claim that If Riley is a knight then Joseph is a knight.", "Joseph cannot be a knight, because this would contradict the false claim of Avery that If Riley is a knight then Joseph is a knight.", "Joseph cannot be a knave, because this would contradict the false claim of their own that Avery is a knave or Riley is a knight.", "We have exhausted all possibilities for Joseph and Avery, so let us go back and reconsider Henry.", "Assume Henry is a knave. No contradiction is found in their false claim that Avery is a knave and Ethan is a knave.", "Assume Avery is a knight. No contradiction is found in their claim that If Riley is a knight then Joseph is a knight.", "Assume Joseph is a knight. No contradiction is found in their claim that Avery is a knave or Riley is a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that Henry is a knave or Avery is a knave.", "Assume Amelia is a knight. No contradiction is found in their claim that If Harper is a knight then Joseph is a knight.", "Harper cannot be a knight, because this would contradict the claim of their own that Henry is a knight and Amelia is a knave.", "Assume Harper is a knave. No contradiction is found in their false claim that Henry is a knight and Amelia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 3), ('lying', 6)), ('->', ('telling-truth', 0), ('telling-truth', 2)), ('or', ('lying', 1), ('telling-truth', 0)), ('and', ('lying', 1), ('lying', 5)), ('and', ('telling-truth', 3), ('lying', 6)), ('or', ('lying', 3), ('lying', 1)), ('->', ('telling-truth', 4), ('telling-truth', 2)))", "index": 454}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Scarlett, Ella, Lily, Chloe, Sofia, Avery, and Logan. \"Logan is a knave,\" Scarlett claimed. \"Logan is not a knight,\" Ella declared. Lily commented, \"Ella is a knight if and only if Avery is a knave\". \"Lily is a knight and Ella is a knave,\" Chloe claimed. Sofia commented, \"Lily is a knave or Sofia is a knight\". Avery commented, \"Lily is not a knight\". \"Chloe is a knave if and only if Lily is a knight,\" Logan claimed. So who is a knight and who is a knave?", "names": ["Scarlett", "Ella", "Lily", "Chloe", "Sofia", "Avery", "Logan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false, true, true, false], "solution_text": "Scarlett is a knight, Ella is a knight, Lily is a knave, Chloe is a knave, Sofia is a knight, Avery is a knight, and Logan is a knave.", "solution_text_format": "(1) Scarlett is a knight\n(2) Ella is a knight\n(3) Lily is a knave\n(4) Chloe is a knave\n(5) Sofia is a knight\n(6) Avery is a knight\n(7) Logan is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Scarlett is a knight. No contradiction is found in their claim that Logan is a knave.", "Logan cannot be a knight, because this would contradict the claim of Scarlett that Logan is a knave.", "Assume Logan is a knave. No contradiction is found in their false claim that Chloe is a knave if and only if Lily is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that Lily is a knight and Ella is a knave.", "Assume Lily is a knight. No contradiction is found in their claim that Ella is a knight if and only if Avery is a knave.", "Ella cannot be a knight, because this would contradict the claim of Chloe that Lily is a knight and Ella is a knave.", "Ella cannot be a knave, because this would contradict the false claim of their own that Logan is not a knight.", "We have exhausted all possibilities for Ella, so let us go back and reconsider Lily.", "Lily cannot be a knave, because this would contradict the claim of Chloe that Lily is a knight and Ella is a knave.", "We have exhausted all possibilities for Lily, so let us go back and reconsider Chloe.", "Assume Chloe is a knave. No contradiction is found in their false claim that Lily is a knight and Ella is a knave.", "Lily cannot be a knight, because this would contradict the false claim of Logan that Chloe is a knave if and only if Lily is a knight.", "Assume Lily is a knave. No contradiction is found in their false claim that Ella is a knight if and only if Avery is a knave.", "Assume Ella is a knight. No contradiction is found in their claim that Logan is not a knight.", "Assume Avery is a knight. No contradiction is found in their claim that Lily is not a knight.", "Assume Sofia is a knight. No contradiction is found in their claim that Lily is a knave or Sofia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 6), ('not', ('telling-truth', 6)), ('<=>', ('telling-truth', 1), ('lying', 5)), ('and', ('telling-truth', 2), ('lying', 1)), ('or', ('lying', 2), ('telling-truth', 4)), ('not', ('telling-truth', 2)), ('<=>', ('lying', 3), ('telling-truth', 2)))", "index": 455}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Lily, Aiden, Sophia, Liam, Jack, Joseph, and Mia. Lily was heard saying, \"Joseph is a knight or Aiden is a knave\". Aiden expressed that Aiden is a knight or Liam is a knave. \"Jack is a knave if and only if Joseph is a knave\" - Sophia. Liam expressed that Lily is a knave or Aiden is a knave. Jack was heard saying, \"If Lily is a knave then Mia is a knight\". As Joseph put it, \"Sophia is a knight if and only if Liam is a knave\". Mia commented, \"If Liam is a knave then Joseph is a knave\". So who is a knight and who is a knave?", "names": ["Lily", "Aiden", "Sophia", "Liam", "Jack", "Joseph", "Mia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false, true, true, false], "solution_text": "Lily is a knight, Aiden is a knight, Sophia is a knight, Liam is a knave, Jack is a knight, Joseph is a knight, and Mia is a knave.", "solution_text_format": "(1) Lily is a knight\n(2) Aiden is a knight\n(3) Sophia is a knight\n(4) Liam is a knave\n(5) Jack is a knight\n(6) Joseph is a knight\n(7) Mia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Lily is a knight. No contradiction is found in their claim that Joseph is a knight or Aiden is a knave.", "Assume Joseph is a knight. No contradiction is found in their claim that Sophia is a knight if and only if Liam is a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that Jack is a knave if and only if Joseph is a knave.", "Assume Jack is a knight. No contradiction is found in their claim that If Lily is a knave then Mia is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that If Liam is a knave then Joseph is a knave.", "Liam cannot be a knight, because this would contradict the claim of Joseph that Sophia is a knight if and only if Liam is a knave.", "Liam cannot be a knave, because this would contradict the claim of Mia that If Liam is a knave then Joseph is a knave.", "We have exhausted all possibilities for Liam, so let us go back and reconsider Mia.", "Assume Mia is a knave. No contradiction is found in their false claim that If Liam is a knave then Joseph is a knave.", "Liam cannot be a knight, because this would contradict the claim of Joseph that Sophia is a knight if and only if Liam is a knave.", "Assume Liam is a knave. No contradiction is found in their false claim that Lily is a knave or Aiden is a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that Aiden is a knight or Liam is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 5), ('lying', 1)), ('or', ('telling-truth', 1), ('lying', 3)), ('<=>', ('lying', 4), ('lying', 5)), ('or', ('lying', 0), ('lying', 1)), ('->', ('lying', 0), ('telling-truth', 6)), ('<=>', ('telling-truth', 2), ('lying', 3)), ('->', ('lying', 3), ('lying', 5)))", "index": 456}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Aiden, Emily, Grace, Scarlett, Penelope, Elizabeth, and Jacob. Aiden was heard saying, \"Emily is not a knave\". In a statement by Emily: \"Penelope is not a knave\". \"Aiden is a knave or Penelope is a knave,\" Grace mentioned. Scarlett noted, \"Grace is a knave or Emily is a knave\". Penelope asserted: \"Penelope is a knight if and only if Elizabeth is a knight\". Elizabeth noted, \"Jacob is a knight\". Jacob said, \"Jacob is a knight and Aiden is a knave.\" So who is a knight and who is a knave?", "names": ["Aiden", "Emily", "Grace", "Scarlett", "Penelope", "Elizabeth", "Jacob"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true, false, true, true], "solution_text": "Aiden is a knave, Emily is a knave, Grace is a knight, Scarlett is a knight, Penelope is a knave, Elizabeth is a knight, and Jacob is a knight.", "solution_text_format": "(1) Aiden is a knave\n(2) Emily is a knave\n(3) Grace is a knight\n(4) Scarlett is a knight\n(5) Penelope is a knave\n(6) Elizabeth is a knight\n(7) Jacob is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aiden is a knight. No contradiction is found in their claim that Emily is not a knave.", "Assume Emily is a knight. No contradiction is found in their claim that Penelope is not a knave.", "Assume Penelope is a knight. No contradiction is found in their claim that Penelope is a knight if and only if Elizabeth is a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Jacob is a knight.", "Jacob cannot be a knight, because this would contradict the claim of their own that Jacob is a knight and Aiden is a knave.", "Jacob cannot be a knave, because this would contradict the claim of Elizabeth that Jacob is a knight.", "We have exhausted all possibilities for Jacob, so let us go back and reconsider Elizabeth.", "Elizabeth cannot be a knave, because this would contradict the claim of Penelope that Penelope is a knight if and only if Elizabeth is a knight.", "We have exhausted all possibilities for Elizabeth, so let us go back and reconsider Penelope.", "Penelope cannot be a knave, because this would contradict the claim of Emily that Penelope is not a knave.", "We have exhausted all possibilities for Penelope, so let us go back and reconsider Emily.", "Emily cannot be a knave, because this would contradict the claim of Aiden that Emily is not a knave.", "We have exhausted all possibilities for Emily, so let us go back and reconsider Aiden.", "Assume Aiden is a knave. No contradiction is found in their false claim that Emily is not a knave.", "Emily cannot be a knight, because this would contradict the false claim of Aiden that Emily is not a knave.", "Assume Emily is a knave. No contradiction is found in their false claim that Penelope is not a knave.", "Penelope cannot be a knight, because this would contradict the false claim of Emily that Penelope is not a knave.", "Assume Penelope is a knave. No contradiction is found in their false claim that Penelope is a knight if and only if Elizabeth is a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Jacob is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that Jacob is a knight and Aiden is a knave.", "Assume Grace is a knight. No contradiction is found in their claim that Aiden is a knave or Penelope is a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that Grace is a knave or Emily is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 1)), ('not', ('lying', 4)), ('or', ('lying', 0), ('lying', 4)), ('or', ('lying', 2), ('lying', 1)), ('<=>', ('telling-truth', 4), ('telling-truth', 5)), ('telling-truth', 6), ('and', ('telling-truth', 6), ('lying', 0)))", "index": 457}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Evelyn, Chloe, David, Sofia, Avery, Abigail, and Olivia. Evelyn said that Sofia is a knave and Chloe is a knave. In a statement by Chloe: \"David is a knave or Avery is a knave\". In a statement by David: \"If Chloe is a knight then Evelyn is a knave\". Sofia stated, \"Avery is a knight or Olivia is a knight\". Avery noted, \"Olivia is not a knave\". \"Avery is a knight and Olivia is a knight\" - Abigail. \"Sofia is a knight if and only if Chloe is a knave,\" Olivia mentioned. So who is a knight and who is a knave?", "names": ["Evelyn", "Chloe", "David", "Sofia", "Avery", "Abigail", "Olivia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true, true, true, true], "solution_text": "Evelyn is a knave, Chloe is a knave, David is a knight, Sofia is a knight, Avery is a knight, Abigail is a knight, and Olivia is a knight.", "solution_text_format": "(1) Evelyn is a knave\n(2) Chloe is a knave\n(3) David is a knight\n(4) Sofia is a knight\n(5) Avery is a knight\n(6) Abigail is a knight\n(7) Olivia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Evelyn is a knight. No contradiction is found in their claim that Sofia is a knave and Chloe is a knave.", "Sofia cannot be a knight, because this would contradict the claim of Evelyn that Sofia is a knave and Chloe is a knave.", "Assume Sofia is a knave. No contradiction is found in their false claim that Avery is a knight or Olivia is a knight.", "Avery cannot be a knight, because this would contradict the false claim of Sofia that Avery is a knight or Olivia is a knight.", "Assume Avery is a knave. No contradiction is found in their false claim that Olivia is not a knave.", "Olivia cannot be a knight, because this would contradict the false claim of Sofia that Avery is a knight or Olivia is a knight.", "Assume Olivia is a knave. No contradiction is found in their false claim that Sofia is a knight if and only if Chloe is a knave.", "Chloe cannot be a knight, because this would contradict the claim of Evelyn that Sofia is a knave and Chloe is a knave.", "Chloe cannot be a knave, because this would contradict the false claim of their own that David is a knave or Avery is a knave.", "We have exhausted all possibilities for Chloe, Olivia, Avery, and Sofia, so let us go back and reconsider Evelyn.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Sofia is a knave and Chloe is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that Avery is a knight or Olivia is a knight.", "Assume Avery is a knight. No contradiction is found in their claim that Olivia is not a knave.", "Assume Olivia is a knight. No contradiction is found in their claim that Sofia is a knight if and only if Chloe is a knave.", "Chloe cannot be a knight, because this would contradict the claim of Olivia that Sofia is a knight if and only if Chloe is a knave.", "Assume Chloe is a knave. No contradiction is found in their false claim that David is a knave or Avery is a knave.", "Assume David is a knight. No contradiction is found in their claim that If Chloe is a knight then Evelyn is a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that Avery is a knight and Olivia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 3), ('lying', 1)), ('or', ('lying', 2), ('lying', 4)), ('->', ('telling-truth', 1), ('lying', 0)), ('or', ('telling-truth', 4), ('telling-truth', 6)), ('not', ('lying', 6)), ('and', ('telling-truth', 4), ('telling-truth', 6)), ('<=>', ('telling-truth', 3), ('lying', 1)))", "index": 458}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Owen, Scarlett, Henry, William, Olivia, Emily, and Joseph. Owen said, \"Scarlett is not a knight.\" Scarlett remarked, \"Joseph is a knight\". As Henry put it, \"Olivia is a knave\". William said, \"Olivia is a knight if and only if Scarlett is a knight.\" Olivia said that If Henry is a knight then Scarlett is a knight. Emily asserted: \"Olivia is a knight\". As Joseph put it, \"Emily is not a knight\". So who is a knight and who is a knave?", "names": ["Owen", "Scarlett", "Henry", "William", "Olivia", "Emily", "Joseph"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false, true, true, false], "solution_text": "Owen is a knight, Scarlett is a knave, Henry is a knave, William is a knave, Olivia is a knight, Emily is a knight, and Joseph is a knave.", "solution_text_format": "(1) Owen is a knight\n(2) Scarlett is a knave\n(3) Henry is a knave\n(4) William is a knave\n(5) Olivia is a knight\n(6) Emily is a knight\n(7) Joseph is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Owen is a knight. No contradiction is found in their claim that Scarlett is not a knight.", "Scarlett cannot be a knight, because this would contradict the claim of Owen that Scarlett is not a knight.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Joseph is a knight.", "Joseph cannot be a knight, because this would contradict the false claim of Scarlett that Joseph is a knight.", "Assume Joseph is a knave. No contradiction is found in their false claim that Emily is not a knight.", "Assume Emily is a knight. No contradiction is found in their claim that Olivia is a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that If Henry is a knight then Scarlett is a knight.", "Henry cannot be a knight, because this would contradict the claim of their own that Olivia is a knave.", "Assume Henry is a knave. No contradiction is found in their false claim that Olivia is a knave.", "William cannot be a knight, because this would contradict the claim of their own that Olivia is a knight if and only if Scarlett is a knight.", "Assume William is a knave. No contradiction is found in their false claim that Olivia is a knight if and only if Scarlett is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('telling-truth', 6), ('lying', 4), ('<=>', ('telling-truth', 4), ('telling-truth', 1)), ('->', ('telling-truth', 2), ('telling-truth', 1)), ('telling-truth', 4), ('not', ('telling-truth', 5)))", "index": 459}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: William, Sofia, Riley, Owen, Victoria, Lily, and Mason. William said, \"Riley is a knight and Mason is a knave.\" Sofia expressed that Victoria is a knave. Riley stated, \"Lily is a knave or Lily is a knight\". \"Riley is not a knave,\" Owen claimed. \"If Owen is a knave then Victoria is a knight,\" Victoria mentioned. Lily remarked, \"Owen is a knight or Riley is a knave\". Mason stated, \"Riley is a knight or William is a knave\". So who is a knight and who is a knave?", "names": ["William", "Sofia", "Riley", "Owen", "Victoria", "Lily", "Mason"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true, true, true, true], "solution_text": "William is a knave, Sofia is a knave, Riley is a knight, Owen is a knight, Victoria is a knight, Lily is a knight, and Mason is a knight.", "solution_text_format": "(1) William is a knave\n(2) Sofia is a knave\n(3) Riley is a knight\n(4) Owen is a knight\n(5) Victoria is a knight\n(6) Lily is a knight\n(7) Mason is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume William is a knight. No contradiction is found in their claim that Riley is a knight and Mason is a knave.", "Assume Riley is a knight. No contradiction is found in their claim that Lily is a knave or Lily is a knight.", "Assume Lily is a knight. No contradiction is found in their claim that Owen is a knight or Riley is a knave.", "Assume Owen is a knight. No contradiction is found in their claim that Riley is not a knave.", "Mason cannot be a knight, because this would contradict the claim of William that Riley is a knight and Mason is a knave.", "Mason cannot be a knave, because this would contradict the false claim of their own that Riley is a knight or William is a knave.", "We have exhausted all possibilities for Mason, so let us go back and reconsider Owen.", "Owen cannot be a knave, because this would contradict the false claim of their own that Riley is not a knave.", "We have exhausted all possibilities for Owen, so let us go back and reconsider Lily.", "Assume Lily is a knave. No contradiction is found in their false claim that Owen is a knight or Riley is a knave.", "Owen cannot be a knight, because this would contradict the false claim of Lily that Owen is a knight or Riley is a knave.", "Owen cannot be a knave, because this would contradict the false claim of their own that Riley is not a knave.", "We have exhausted all possibilities for Owen and Lily, so let us go back and reconsider Riley.", "Riley cannot be a knave, because this would contradict the claim of William that Riley is a knight and Mason is a knave.", "We have exhausted all possibilities for Riley, so let us go back and reconsider William.", "Assume William is a knave. No contradiction is found in their false claim that Riley is a knight and Mason is a knave.", "Assume Riley is a knight. No contradiction is found in their claim that Lily is a knave or Lily is a knight.", "Assume Lily is a knight. No contradiction is found in their claim that Owen is a knight or Riley is a knave.", "Assume Owen is a knight. No contradiction is found in their claim that Riley is not a knave.", "Assume Mason is a knight. No contradiction is found in their claim that Riley is a knight or William is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that Victoria is a knave.", "Victoria cannot be a knight, because this would contradict the claim of Sofia that Victoria is a knave.", "Victoria cannot be a knave, because this would contradict the false claim of their own that If Owen is a knave then Victoria is a knight.", "We have exhausted all possibilities for Victoria, so let us go back and reconsider Sofia.", "Assume Sofia is a knave. No contradiction is found in their false claim that Victoria is a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that If Owen is a knave then Victoria is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 2), ('lying', 6)), ('lying', 4), ('or', ('lying', 5), ('telling-truth', 5)), ('not', ('lying', 2)), ('->', ('lying', 3), ('telling-truth', 4)), ('or', ('telling-truth', 3), ('lying', 2)), ('or', ('telling-truth', 2), ('lying', 0)))", "index": 460}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Riley, Zoey, Grace, Ethan, Chloe, Sofia, and Lucas. Riley told you that Lucas is a knight or Zoey is a knight. \"If Ethan is a knave then Grace is a knight,\" Zoey claimed. Grace commented, \"If Lucas is a knight then Chloe is a knight\". Ethan commented, \"Grace is a knave or Sofia is a knave\". Chloe expressed that Lucas is a knave if and only if Ethan is a knight. In a statement by Sofia: \"If Lucas is a knight then Zoey is a knave\". Lucas told you that Zoey is a knight and Riley is a knave. So who is a knight and who is a knave?", "names": ["Riley", "Zoey", "Grace", "Ethan", "Chloe", "Sofia", "Lucas"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false, false, true, false], "solution_text": "Riley is a knight, Zoey is a knight, Grace is a knight, Ethan is a knave, Chloe is a knave, Sofia is a knight, and Lucas is a knave.", "solution_text_format": "(1) Riley is a knight\n(2) Zoey is a knight\n(3) Grace is a knight\n(4) Ethan is a knave\n(5) Chloe is a knave\n(6) Sofia is a knight\n(7) Lucas is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Riley is a knight. No contradiction is found in their claim that Lucas is a knight or Zoey is a knight.", "Lucas cannot be a knight, because this would contradict the claim of their own that Zoey is a knight and Riley is a knave.", "Assume Lucas is a knave. No contradiction is found in their false claim that Zoey is a knight and Riley is a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that If Ethan is a knave then Grace is a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that Grace is a knave or Sofia is a knave.", "Assume Grace is a knight. No contradiction is found in their claim that If Lucas is a knight then Chloe is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that Lucas is a knave if and only if Ethan is a knight.", "Sofia cannot be a knight, because this would contradict the claim of Ethan that Grace is a knave or Sofia is a knave.", "Sofia cannot be a knave, because this would contradict the false claim of their own that If Lucas is a knight then Zoey is a knave.", "We have exhausted all possibilities for Sofia, so let us go back and reconsider Chloe.", "Chloe cannot be a knave, because this would contradict the false claim of their own that Lucas is a knave if and only if Ethan is a knight.", "We have exhausted all possibilities for Chloe, so let us go back and reconsider Grace.", "Grace cannot be a knave, because this would contradict the false claim of their own that If Lucas is a knight then Chloe is a knight.", "We have exhausted all possibilities for Grace, so let us go back and reconsider Ethan.", "Assume Ethan is a knave. No contradiction is found in their false claim that Grace is a knave or Sofia is a knave.", "Assume Grace is a knight. No contradiction is found in their claim that If Lucas is a knight then Chloe is a knight.", "Chloe cannot be a knight, because this would contradict the claim of their own that Lucas is a knave if and only if Ethan is a knight.", "Assume Chloe is a knave. No contradiction is found in their false claim that Lucas is a knave if and only if Ethan is a knight.", "Assume Sofia is a knight. No contradiction is found in their claim that If Lucas is a knight then Zoey is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 6), ('telling-truth', 1)), ('->', ('lying', 3), ('telling-truth', 2)), ('->', ('telling-truth', 6), ('telling-truth', 4)), ('or', ('lying', 2), ('lying', 5)), ('<=>', ('lying', 6), ('telling-truth', 3)), ('->', ('telling-truth', 6), ('lying', 1)), ('and', ('telling-truth', 1), ('lying', 0)))", "index": 461}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: James, Matthew, Aria, Aurora, Jack, Grace, and Alexander. James said that Matthew is not a knight. \"Jack is not a knight,\" Matthew claimed. \"Jack is not a knave,\" Aria mentioned. In Aurora's words: \"Jack is a knight\". \"If Grace is a knave then Matthew is a knight\" - Jack. According to Grace, \"James is a knight and Aria is a knight\". Alexander said, \"James is not a knight.\" So who is a knight and who is a knave?", "names": ["James", "Matthew", "Aria", "Aurora", "Jack", "Grace", "Alexander"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, true, true, false], "solution_text": "James is a knight, Matthew is a knave, Aria is a knight, Aurora is a knight, Jack is a knight, Grace is a knight, and Alexander is a knave.", "solution_text_format": "(1) James is a knight\n(2) Matthew is a knave\n(3) Aria is a knight\n(4) Aurora is a knight\n(5) Jack is a knight\n(6) Grace is a knight\n(7) Alexander is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume James is a knight. No contradiction is found in their claim that Matthew is not a knight.", "Matthew cannot be a knight, because this would contradict the claim of James that Matthew is not a knight.", "Assume Matthew is a knave. No contradiction is found in their false claim that Jack is not a knight.", "Assume Jack is a knight. No contradiction is found in their claim that If Grace is a knave then Matthew is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that James is a knight and Aria is a knight.", "Assume Aria is a knight. No contradiction is found in their claim that Jack is not a knave.", "Assume Aurora is a knight. No contradiction is found in their claim that Jack is a knight.", "Alexander cannot be a knight, because this would contradict the claim of their own that James is not a knight.", "Assume Alexander is a knave. No contradiction is found in their false claim that James is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('not', ('telling-truth', 4)), ('not', ('lying', 4)), ('telling-truth', 4), ('->', ('lying', 5), ('telling-truth', 1)), ('and', ('telling-truth', 0), ('telling-truth', 2)), ('not', ('telling-truth', 0)))", "index": 462}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Grace, Sebastian, Mason, Aiden, Noah, Chloe, and Harper. In a statement by Grace: \"Mason is a knight or Chloe is a knight\". Sebastian asserted: \"Grace is a knight\". Mason said, \"Sebastian is a knave.\" In a statement by Aiden: \"Harper is a knight and Chloe is a knight\". Noah commented, \"If Harper is a knave then Chloe is a knave\". \"Noah is not a knave,\" Chloe claimed. Harper told you that Noah is a knight. So who is a knight and who is a knave?", "names": ["Grace", "Sebastian", "Mason", "Aiden", "Noah", "Chloe", "Harper"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true, true, true, true], "solution_text": "Grace is a knight, Sebastian is a knight, Mason is a knave, Aiden is a knight, Noah is a knight, Chloe is a knight, and Harper is a knight.", "solution_text_format": "(1) Grace is a knight\n(2) Sebastian is a knight\n(3) Mason is a knave\n(4) Aiden is a knight\n(5) Noah is a knight\n(6) Chloe is a knight\n(7) Harper is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Grace is a knight. No contradiction is found in their claim that Mason is a knight or Chloe is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that Sebastian is a knave.", "Sebastian cannot be a knight, because this would contradict the claim of Mason that Sebastian is a knave.", "Sebastian cannot be a knave, because this would contradict the false claim of their own that Grace is a knight.", "We have exhausted all possibilities for Sebastian, so let us go back and reconsider Mason.", "Assume Mason is a knave. No contradiction is found in their false claim that Sebastian is a knave.", "Assume Sebastian is a knight. No contradiction is found in their claim that Grace is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that Noah is not a knave.", "Assume Noah is a knight. No contradiction is found in their claim that If Harper is a knave then Chloe is a knave.", "Assume Harper is a knight. No contradiction is found in their claim that Noah is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that Harper is a knight and Chloe is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 2), ('telling-truth', 5)), ('telling-truth', 0), ('lying', 1), ('and', ('telling-truth', 6), ('telling-truth', 5)), ('->', ('lying', 6), ('lying', 5)), ('not', ('lying', 4)), ('telling-truth', 4))", "index": 463}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: James, Riley, Ella, Penelope, Noah, Owen, and Mia. James asserted: \"If Noah is a knight then Mia is a knight\". In a statement by Riley: \"Owen is not a knight\". Ella stated, \"Riley is not a knave\". As Penelope put it, \"Owen is a knave and Penelope is a knight\". Noah commented, \"Penelope is not a knight\". Owen said that Ella is a knight or Ella is a knave. Mia said, \"If James is a knave then Riley is a knave.\" So who is a knight and who is a knave?", "names": ["James", "Riley", "Ella", "Penelope", "Noah", "Owen", "Mia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false, true, true, true], "solution_text": "James is a knight, Riley is a knave, Ella is a knave, Penelope is a knave, Noah is a knight, Owen is a knight, and Mia is a knight.", "solution_text_format": "(1) James is a knight\n(2) Riley is a knave\n(3) Ella is a knave\n(4) Penelope is a knave\n(5) Noah is a knight\n(6) Owen is a knight\n(7) Mia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume James is a knight. No contradiction is found in their claim that If Noah is a knight then Mia is a knight.", "Assume Noah is a knight. No contradiction is found in their claim that Penelope is not a knight.", "Penelope cannot be a knight, because this would contradict the claim of Noah that Penelope is not a knight.", "Assume Penelope is a knave. No contradiction is found in their false claim that Owen is a knave and Penelope is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that Ella is a knight or Ella is a knave.", "Assume Ella is a knight. No contradiction is found in their claim that Riley is not a knave.", "Riley cannot be a knight, because this would contradict the claim of their own that Owen is not a knight.", "Riley cannot be a knave, because this would contradict the claim of Ella that Riley is not a knave.", "We have exhausted all possibilities for Riley, so let us go back and reconsider Ella.", "Assume Ella is a knave. No contradiction is found in their false claim that Riley is not a knave.", "Riley cannot be a knight, because this would contradict the claim of their own that Owen is not a knight.", "Assume Riley is a knave. No contradiction is found in their false claim that Owen is not a knight.", "Assume Mia is a knight. No contradiction is found in their claim that If James is a knave then Riley is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 4), ('telling-truth', 6)), ('not', ('telling-truth', 5)), ('not', ('lying', 1)), ('and', ('lying', 5), ('telling-truth', 3)), ('not', ('telling-truth', 3)), ('or', ('telling-truth', 2), ('lying', 2)), ('->', ('lying', 0), ('lying', 1)))", "index": 464}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Penelope, Riley, William, Amelia, Sofia, Mason, and Mia. Penelope asserted: \"If William is a knight then William is a knave\". Riley was heard saying, \"If Mason is a knight then Amelia is a knight\". William commented, \"Riley is a knave or Mason is a knight\". Amelia remarked, \"Mia is not a knave\". \"If Mia is a knight then Penelope is a knight,\" Sofia mentioned. Mason expressed that Sofia is a knave or William is a knave. \"Amelia is a knight or Mia is a knight,\" Mia declared. So who is a knight and who is a knave?", "names": ["Penelope", "Riley", "William", "Amelia", "Sofia", "Mason", "Mia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, false, true, true], "solution_text": "Penelope is a knave, Riley is a knight, William is a knight, Amelia is a knight, Sofia is a knave, Mason is a knight, and Mia is a knight.", "solution_text_format": "(1) Penelope is a knave\n(2) Riley is a knight\n(3) William is a knight\n(4) Amelia is a knight\n(5) Sofia is a knave\n(6) Mason is a knight\n(7) Mia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Penelope is a knight. No contradiction is found in their claim that If William is a knight then William is a knave.", "William cannot be a knight, because this would contradict the claim of Penelope that If William is a knight then William is a knave.", "Assume William is a knave. No contradiction is found in their false claim that Riley is a knave or Mason is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that If Mason is a knight then Amelia is a knight.", "Mason cannot be a knight, because this would contradict the false claim of William that Riley is a knave or Mason is a knight.", "Mason cannot be a knave, because this would contradict the false claim of their own that Sofia is a knave or William is a knave.", "We have exhausted all possibilities for Mason, so let us go back and reconsider Riley.", "Riley cannot be a knave, because this would contradict the false claim of William that Riley is a knave or Mason is a knight.", "We have exhausted all possibilities for Riley and William, so let us go back and reconsider Penelope.", "Assume Penelope is a knave. No contradiction is found in their false claim that If William is a knight then William is a knave.", "Assume William is a knight. No contradiction is found in their claim that Riley is a knave or Mason is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that If Mason is a knight then Amelia is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that Sofia is a knave or William is a knave.", "Sofia cannot be a knight, because this would contradict the claim of Mason that Sofia is a knave or William is a knave.", "Assume Sofia is a knave. No contradiction is found in their false claim that If Mia is a knight then Penelope is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that Amelia is a knight or Mia is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that Mia is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 2), ('lying', 2)), ('->', ('telling-truth', 5), ('telling-truth', 3)), ('or', ('lying', 1), ('telling-truth', 5)), ('not', ('lying', 6)), ('->', ('telling-truth', 6), ('telling-truth', 0)), ('or', ('lying', 4), ('lying', 2)), ('or', ('telling-truth', 3), ('telling-truth', 6)))", "index": 465}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Emily, Sofia, Riley, Isabella, Emma, Aiden, and Ava. Emily told you that Riley is a knight and Isabella is a knight. As Sofia put it, \"Aiden is a knight if and only if Emma is a knave\". Riley asserted: \"Emma is a knave and Isabella is a knave\". \"Sofia is a knave or Riley is a knave,\" Isabella declared. Emma expressed that Aiden is a knave. Aiden said that If Riley is a knight then Emma is a knight. Ava asserted: \"Aiden is a knight\". So who is a knight and who is a knave?", "names": ["Emily", "Sofia", "Riley", "Isabella", "Emma", "Aiden", "Ava"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true, false, true, true], "solution_text": "Emily is a knave, Sofia is a knight, Riley is a knave, Isabella is a knight, Emma is a knave, Aiden is a knight, and Ava is a knight.", "solution_text_format": "(1) Emily is a knave\n(2) Sofia is a knight\n(3) Riley is a knave\n(4) Isabella is a knight\n(5) Emma is a knave\n(6) Aiden is a knight\n(7) Ava is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Emily is a knight. No contradiction is found in their claim that Riley is a knight and Isabella is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that Emma is a knave and Isabella is a knave.", "Emma cannot be a knight, because this would contradict the claim of Riley that Emma is a knave and Isabella is a knave.", "Assume Emma is a knave. No contradiction is found in their false claim that Aiden is a knave.", "Aiden cannot be a knight, because this would contradict the claim of their own that If Riley is a knight then Emma is a knight.", "Aiden cannot be a knave, because this would contradict the false claim of Emma that Aiden is a knave.", "We have exhausted all possibilities for Aiden and Emma, so let us go back and reconsider Riley.", "Riley cannot be a knave, because this would contradict the claim of Emily that Riley is a knight and Isabella is a knight.", "We have exhausted all possibilities for Riley, so let us go back and reconsider Emily.", "Assume Emily is a knave. No contradiction is found in their false claim that Riley is a knight and Isabella is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that Emma is a knave and Isabella is a knave.", "Emma cannot be a knight, because this would contradict the claim of Riley that Emma is a knave and Isabella is a knave.", "Assume Emma is a knave. No contradiction is found in their false claim that Aiden is a knave.", "Aiden cannot be a knight, because this would contradict the claim of their own that If Riley is a knight then Emma is a knight.", "Aiden cannot be a knave, because this would contradict the false claim of Emma that Aiden is a knave.", "We have exhausted all possibilities for Aiden and Emma, so let us go back and reconsider Riley.", "Assume Riley is a knave. No contradiction is found in their false claim that Emma is a knave and Isabella is a knave.", "Assume Emma is a knight. No contradiction is found in their claim that Aiden is a knave.", "Aiden cannot be a knight, because this would contradict the claim of Emma that Aiden is a knave.", "Aiden cannot be a knave, because this would contradict the false claim of their own that If Riley is a knight then Emma is a knight.", "We have exhausted all possibilities for Aiden, so let us go back and reconsider Emma.", "Assume Emma is a knave. No contradiction is found in their false claim that Aiden is a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that If Riley is a knight then Emma is a knight.", "Assume Isabella is a knight. No contradiction is found in their claim that Sofia is a knave or Riley is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that Aiden is a knight if and only if Emma is a knave.", "Assume Ava is a knight. No contradiction is found in their claim that Aiden is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 2), ('telling-truth', 3)), ('<=>', ('telling-truth', 5), ('lying', 4)), ('and', ('lying', 4), ('lying', 3)), ('or', ('lying', 1), ('lying', 2)), ('lying', 5), ('->', ('telling-truth', 2), ('telling-truth', 4)), ('telling-truth', 5))", "index": 466}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Samuel, Jack, Riley, Abigail, Amelia, Ava, and Evelyn. Samuel remarked, \"If Amelia is a knave then Samuel is a knight\". Jack said that If Evelyn is a knight then Abigail is a knight. Riley told you that If Amelia is a knave then Riley is a knight. \"Ava is a knave and Ava is a knight\" - Abigail. \"If Jack is a knave then Abigail is a knave,\" Amelia claimed. \"Evelyn is a knight,\" Ava declared. Evelyn remarked, \"Amelia is not a knight\". So who is a knight and who is a knave?", "names": ["Samuel", "Jack", "Riley", "Abigail", "Amelia", "Ava", "Evelyn"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false, true, false, false], "solution_text": "Samuel is a knight, Jack is a knight, Riley is a knight, Abigail is a knave, Amelia is a knight, Ava is a knave, and Evelyn is a knave.", "solution_text_format": "(1) Samuel is a knight\n(2) Jack is a knight\n(3) Riley is a knight\n(4) Abigail is a knave\n(5) Amelia is a knight\n(6) Ava is a knave\n(7) Evelyn is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Samuel is a knight. No contradiction is found in their claim that If Amelia is a knave then Samuel is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that If Jack is a knave then Abigail is a knave.", "Assume Jack is a knight. No contradiction is found in their claim that If Evelyn is a knight then Abigail is a knight.", "Evelyn cannot be a knight, because this would contradict the claim of their own that Amelia is not a knight.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Amelia is not a knight.", "Abigail cannot be a knight, because this would contradict the claim of their own that Ava is a knave and Ava is a knight.", "Assume Abigail is a knave. No contradiction is found in their false claim that Ava is a knave and Ava is a knight.", "Ava cannot be a knight, because this would contradict the claim of their own that Evelyn is a knight.", "Assume Ava is a knave. No contradiction is found in their false claim that Evelyn is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that If Amelia is a knave then Riley is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 4), ('telling-truth', 0)), ('->', ('telling-truth', 6), ('telling-truth', 3)), ('->', ('lying', 4), ('telling-truth', 2)), ('and', ('lying', 5), ('telling-truth', 5)), ('->', ('lying', 1), ('lying', 3)), ('telling-truth', 6), ('not', ('telling-truth', 4)))", "index": 467}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Ethan, William, Aria, Penelope, Benjamin, Liam, and Sebastian. According to Ethan, \"Benjamin is a knave or Aria is a knave\". William expressed that Penelope is not a knight. Aria commented, \"Benjamin is a knight if and only if Penelope is a knight\". Penelope commented, \"Aria is a knave\". According to Benjamin, \"If Sebastian is a knight then Benjamin is a knight\". In a statement by Liam: \"Penelope is a knight and Penelope is a knave\". Sebastian said, \"If Penelope is a knight then William is a knight.\" So who is a knight and who is a knave?", "names": ["Ethan", "William", "Aria", "Penelope", "Benjamin", "Liam", "Sebastian"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false, false, false, true], "solution_text": "Ethan is a knight, William is a knight, Aria is a knight, Penelope is a knave, Benjamin is a knave, Liam is a knave, and Sebastian is a knight.", "solution_text_format": "(1) Ethan is a knight\n(2) William is a knight\n(3) Aria is a knight\n(4) Penelope is a knave\n(5) Benjamin is a knave\n(6) Liam is a knave\n(7) Sebastian is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ethan is a knight. No contradiction is found in their claim that Benjamin is a knave or Aria is a knave.", "Assume Benjamin is a knight. No contradiction is found in their claim that If Sebastian is a knight then Benjamin is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that If Penelope is a knight then William is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that Aria is a knave.", "Aria cannot be a knight, because this would contradict the claim of Ethan that Benjamin is a knave or Aria is a knave.", "Aria cannot be a knave, because this would contradict the false claim of their own that Benjamin is a knight if and only if Penelope is a knight.", "We have exhausted all possibilities for Aria, so let us go back and reconsider Penelope.", "Assume Penelope is a knave. No contradiction is found in their false claim that Aria is a knave.", "Aria cannot be a knight, because this would contradict the claim of Ethan that Benjamin is a knave or Aria is a knave.", "Aria cannot be a knave, because this would contradict the false claim of Penelope that Aria is a knave.", "We have exhausted all possibilities for Aria and Penelope, so let us go back and reconsider Sebastian.", "Assume Sebastian is a knave. No contradiction is found in their false claim that If Penelope is a knight then William is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that Aria is a knave.", "Aria cannot be a knight, because this would contradict the claim of Ethan that Benjamin is a knave or Aria is a knave.", "Aria cannot be a knave, because this would contradict the false claim of their own that Benjamin is a knight if and only if Penelope is a knight.", "We have exhausted all possibilities for Aria, so let us go back and reconsider Penelope.", "Penelope cannot be a knave, because this would contradict the false claim of Sebastian that If Penelope is a knight then William is a knight.", "We have exhausted all possibilities for Penelope and Sebastian, so let us go back and reconsider Benjamin.", "Assume Benjamin is a knave. No contradiction is found in their false claim that If Sebastian is a knight then Benjamin is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that If Penelope is a knight then William is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that Aria is a knave.", "Aria cannot be a knight, because this would contradict the claim of their own that Benjamin is a knight if and only if Penelope is a knight.", "Assume Aria is a knave. No contradiction is found in their false claim that Benjamin is a knight if and only if Penelope is a knight.", "William cannot be a knight, because this would contradict the claim of their own that Penelope is not a knight.", "William cannot be a knave, because this would contradict the claim of Sebastian that If Penelope is a knight then William is a knight.", "We have exhausted all possibilities for William and Aria, so let us go back and reconsider Penelope.", "Assume Penelope is a knave. No contradiction is found in their false claim that Aria is a knave.", "Assume Aria is a knight. No contradiction is found in their claim that Benjamin is a knight if and only if Penelope is a knight.", "Assume William is a knight. No contradiction is found in their claim that Penelope is not a knight.", "Liam cannot be a knight, because this would contradict the claim of their own that Penelope is a knight and Penelope is a knave.", "Assume Liam is a knave. No contradiction is found in their false claim that Penelope is a knight and Penelope is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 4), ('lying', 2)), ('not', ('telling-truth', 3)), ('<=>', ('telling-truth', 4), ('telling-truth', 3)), ('lying', 2), ('->', ('telling-truth', 6), ('telling-truth', 4)), ('and', ('telling-truth', 3), ('lying', 3)), ('->', ('telling-truth', 3), ('telling-truth', 1)))", "index": 468}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Aiden, David, Evelyn, Joseph, Ava, Logan, and Matthew. As Aiden put it, \"Logan is a knave and Ava is a knave\". David said that Joseph is a knight or Evelyn is a knight. Evelyn asserted: \"Joseph is a knight if and only if Matthew is a knight\". \"Aiden is not a knight,\" Joseph declared. Ava noted, \"If Aiden is a knight then Logan is a knight\". Logan stated, \"Matthew is a knight and Ava is a knight\". \"David is a knight or Joseph is a knight,\" Matthew declared. So who is a knight and who is a knave?", "names": ["Aiden", "David", "Evelyn", "Joseph", "Ava", "Logan", "Matthew"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, true, true, true], "solution_text": "Aiden is a knave, David is a knight, Evelyn is a knight, Joseph is a knight, Ava is a knight, Logan is a knight, and Matthew is a knight.", "solution_text_format": "(1) Aiden is a knave\n(2) David is a knight\n(3) Evelyn is a knight\n(4) Joseph is a knight\n(5) Ava is a knight\n(6) Logan is a knight\n(7) Matthew is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aiden is a knight. No contradiction is found in their claim that Logan is a knave and Ava is a knave.", "Logan cannot be a knight, because this would contradict the claim of Aiden that Logan is a knave and Ava is a knave.", "Assume Logan is a knave. No contradiction is found in their false claim that Matthew is a knight and Ava is a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that David is a knight or Joseph is a knight.", "Assume David is a knight. No contradiction is found in their claim that Joseph is a knight or Evelyn is a knight.", "Joseph cannot be a knight, because this would contradict the claim of their own that Aiden is not a knight.", "Assume Joseph is a knave. No contradiction is found in their false claim that Aiden is not a knight.", "Evelyn cannot be a knight, because this would contradict the claim of their own that Joseph is a knight if and only if Matthew is a knight.", "Evelyn cannot be a knave, because this would contradict the claim of David that Joseph is a knight or Evelyn is a knight.", "We have exhausted all possibilities for Evelyn and Joseph, so let us go back and reconsider David.", "Assume David is a knave. No contradiction is found in their false claim that Joseph is a knight or Evelyn is a knight.", "Joseph cannot be a knight, because this would contradict the false claim of David that Joseph is a knight or Evelyn is a knight.", "Joseph cannot be a knave, because this would contradict the claim of Matthew that David is a knight or Joseph is a knight.", "We have exhausted all possibilities for Joseph and David, so let us go back and reconsider Matthew.", "Assume Matthew is a knave. No contradiction is found in their false claim that David is a knight or Joseph is a knight.", "David cannot be a knight, because this would contradict the false claim of Matthew that David is a knight or Joseph is a knight.", "Assume David is a knave. No contradiction is found in their false claim that Joseph is a knight or Evelyn is a knight.", "Joseph cannot be a knight, because this would contradict the false claim of David that Joseph is a knight or Evelyn is a knight.", "Assume Joseph is a knave. No contradiction is found in their false claim that Aiden is not a knight.", "Evelyn cannot be a knight, because this would contradict the false claim of David that Joseph is a knight or Evelyn is a knight.", "Evelyn cannot be a knave, because this would contradict the false claim of their own that Joseph is a knight if and only if Matthew is a knight.", "We have exhausted all possibilities for Evelyn, Joseph, David, Matthew, and Logan, so let us go back and reconsider Aiden.", "Assume Aiden is a knave. No contradiction is found in their false claim that Logan is a knave and Ava is a knave.", "Assume Logan is a knight. No contradiction is found in their claim that Matthew is a knight and Ava is a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that David is a knight or Joseph is a knight.", "Assume David is a knight. No contradiction is found in their claim that Joseph is a knight or Evelyn is a knight.", "Assume Joseph is a knight. No contradiction is found in their claim that Aiden is not a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that Joseph is a knight if and only if Matthew is a knight.", "Assume Ava is a knight. No contradiction is found in their claim that If Aiden is a knight then Logan is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 5), ('lying', 4)), ('or', ('telling-truth', 3), ('telling-truth', 2)), ('<=>', ('telling-truth', 3), ('telling-truth', 6)), ('not', ('telling-truth', 0)), ('->', ('telling-truth', 0), ('telling-truth', 5)), ('and', ('telling-truth', 6), ('telling-truth', 4)), ('or', ('telling-truth', 1), ('telling-truth', 3)))", "index": 469}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Oliver, Matthew, Elizabeth, Aurora, Avery, Michael, and Emma. In Oliver's words: \"Elizabeth is a knight if and only if Aurora is a knight\". Matthew was heard saying, \"Elizabeth is a knight if and only if Avery is a knight\". \"Avery is a knight or Michael is a knave,\" Elizabeth declared. \"If Matthew is a knight then Oliver is a knave\" - Aurora. According to Avery, \"If Elizabeth is a knight then Elizabeth is a knave\". In Michael's words: \"Aurora is a knave if and only if Emma is a knave\". \"Aurora is a knight if and only if Michael is a knight\" - Emma. So who is a knight and who is a knave?", "names": ["Oliver", "Matthew", "Elizabeth", "Aurora", "Avery", "Michael", "Emma"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, false, false, false], "solution_text": "Oliver is a knight, Matthew is a knave, Elizabeth is a knight, Aurora is a knight, Avery is a knave, Michael is a knave, and Emma is a knave.", "solution_text_format": "(1) Oliver is a knight\n(2) Matthew is a knave\n(3) Elizabeth is a knight\n(4) Aurora is a knight\n(5) Avery is a knave\n(6) Michael is a knave\n(7) Emma is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Oliver is a knight. No contradiction is found in their claim that Elizabeth is a knight if and only if Aurora is a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Avery is a knight or Michael is a knave.", "Avery cannot be a knight, because this would contradict the claim of their own that If Elizabeth is a knight then Elizabeth is a knave.", "Assume Avery is a knave. No contradiction is found in their false claim that If Elizabeth is a knight then Elizabeth is a knave.", "Michael cannot be a knight, because this would contradict the claim of Elizabeth that Avery is a knight or Michael is a knave.", "Assume Michael is a knave. No contradiction is found in their false claim that Aurora is a knave if and only if Emma is a knave.", "Assume Aurora is a knight. No contradiction is found in their claim that If Matthew is a knight then Oliver is a knave.", "Matthew cannot be a knight, because this would contradict the claim of their own that Elizabeth is a knight if and only if Avery is a knight.", "Assume Matthew is a knave. No contradiction is found in their false claim that Elizabeth is a knight if and only if Avery is a knight.", "Emma cannot be a knight, because this would contradict the false claim of Michael that Aurora is a knave if and only if Emma is a knave.", "Assume Emma is a knave. No contradiction is found in their false claim that Aurora is a knight if and only if Michael is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 2), ('telling-truth', 3)), ('<=>', ('telling-truth', 2), ('telling-truth', 4)), ('or', ('telling-truth', 4), ('lying', 5)), ('->', ('telling-truth', 1), ('lying', 0)), ('->', ('telling-truth', 2), ('lying', 2)), ('<=>', ('lying', 3), ('lying', 6)), ('<=>', ('telling-truth', 3), ('telling-truth', 5)))", "index": 470}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Isabella, Elizabeth, Alexander, David, Riley, Matthew, and Charlotte. Isabella said, \"Riley is a knave.\" In Elizabeth's words: \"Matthew is a knave or Isabella is a knight\". Alexander was heard saying, \"If Matthew is a knave then Riley is a knight\". David was heard saying, \"Riley is a knight\". \"David is a knight if and only if Isabella is a knave\" - Riley. Matthew commented, \"Isabella is a knight and Elizabeth is a knave\". \"Alexander is not a knave,\" Charlotte claimed. So who is a knight and who is a knave?", "names": ["Isabella", "Elizabeth", "Alexander", "David", "Riley", "Matthew", "Charlotte"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, true, false, true], "solution_text": "Isabella is a knave, Elizabeth is a knight, Alexander is a knight, David is a knight, Riley is a knight, Matthew is a knave, and Charlotte is a knight.", "solution_text_format": "(1) Isabella is a knave\n(2) Elizabeth is a knight\n(3) Alexander is a knight\n(4) David is a knight\n(5) Riley is a knight\n(6) Matthew is a knave\n(7) Charlotte is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Isabella is a knight. No contradiction is found in their claim that Riley is a knave.", "Riley cannot be a knight, because this would contradict the claim of Isabella that Riley is a knave.", "Assume Riley is a knave. No contradiction is found in their false claim that David is a knight if and only if Isabella is a knave.", "David cannot be a knight, because this would contradict the claim of their own that Riley is a knight.", "David cannot be a knave, because this would contradict the false claim of Riley that David is a knight if and only if Isabella is a knave.", "We have exhausted all possibilities for David and Riley, so let us go back and reconsider Isabella.", "Assume Isabella is a knave. No contradiction is found in their false claim that Riley is a knave.", "Assume Riley is a knight. No contradiction is found in their claim that David is a knight if and only if Isabella is a knave.", "Assume David is a knight. No contradiction is found in their claim that Riley is a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Matthew is a knave or Isabella is a knight.", "Matthew cannot be a knight, because this would contradict the claim of Elizabeth that Matthew is a knave or Isabella is a knight.", "Assume Matthew is a knave. No contradiction is found in their false claim that Isabella is a knight and Elizabeth is a knave.", "Assume Alexander is a knight. No contradiction is found in their claim that If Matthew is a knave then Riley is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that Alexander is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 4), ('or', ('lying', 5), ('telling-truth', 0)), ('->', ('lying', 5), ('telling-truth', 4)), ('telling-truth', 4), ('<=>', ('telling-truth', 3), ('lying', 0)), ('and', ('telling-truth', 0), ('lying', 1)), ('not', ('lying', 2)))", "index": 471}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Emma, Lily, Riley, James, Sebastian, Henry, and William. As Emma put it, \"William is a knight if and only if William is a knave\". In a statement by Lily: \"Sebastian is not a knight\". Riley told you that James is a knave and Emma is a knight. James noted, \"Riley is not a knave\". \"Henry is a knight if and only if Henry is a knave,\" Sebastian declared. \"Lily is a knight if and only if Riley is a knave,\" Henry mentioned. William expressed that James is not a knight. So who is a knight and who is a knave?", "names": ["Emma", "Lily", "Riley", "James", "Sebastian", "Henry", "William"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false, false, true, true], "solution_text": "Emma is a knave, Lily is a knight, Riley is a knave, James is a knave, Sebastian is a knave, Henry is a knight, and William is a knight.", "solution_text_format": "(1) Emma is a knave\n(2) Lily is a knight\n(3) Riley is a knave\n(4) James is a knave\n(5) Sebastian is a knave\n(6) Henry is a knight\n(7) William is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Emma cannot be a knight, because this would contradict the claim of their own that William is a knight if and only if William is a knave.", "Assume Emma is a knave. No contradiction is found in their false claim that William is a knight if and only if William is a knave.", "Assume William is a knight. No contradiction is found in their claim that James is not a knight.", "James cannot be a knight, because this would contradict the claim of William that James is not a knight.", "Assume James is a knave. No contradiction is found in their false claim that Riley is not a knave.", "Riley cannot be a knight, because this would contradict the claim of their own that James is a knave and Emma is a knight.", "Assume Riley is a knave. No contradiction is found in their false claim that James is a knave and Emma is a knight.", "Assume Lily is a knight. No contradiction is found in their claim that Sebastian is not a knight.", "Sebastian cannot be a knight, because this would contradict the claim of Lily that Sebastian is not a knight.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Henry is a knight if and only if Henry is a knave.", "Assume Henry is a knight. No contradiction is found in their claim that Lily is a knight if and only if Riley is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 6), ('lying', 6)), ('not', ('telling-truth', 4)), ('and', ('lying', 3), ('telling-truth', 0)), ('not', ('lying', 2)), ('<=>', ('telling-truth', 5), ('lying', 5)), ('<=>', ('telling-truth', 1), ('lying', 2)), ('not', ('telling-truth', 3)))", "index": 472}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Evelyn, Samuel, Mason, Joseph, Jackson, Michael, and Isabella. \"Jackson is a knight and Samuel is a knave,\" Evelyn mentioned. Samuel was heard saying, \"Mason is a knight and Evelyn is a knight\". \"Isabella is a knave and Michael is a knight\" - Mason. Joseph commented, \"Isabella is a knave\". \"Michael is a knight if and only if Evelyn is a knight\" - Jackson. Michael said that If Joseph is a knight then Samuel is a knave. \"Jackson is a knight if and only if Michael is a knave,\" Isabella claimed. So who is a knight and who is a knave?", "names": ["Evelyn", "Samuel", "Mason", "Joseph", "Jackson", "Michael", "Isabella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, false, false, true, true], "solution_text": "Evelyn is a knave, Samuel is a knave, Mason is a knave, Joseph is a knave, Jackson is a knave, Michael is a knight, and Isabella is a knight.", "solution_text_format": "(1) Evelyn is a knave\n(2) Samuel is a knave\n(3) Mason is a knave\n(4) Joseph is a knave\n(5) Jackson is a knave\n(6) Michael is a knight\n(7) Isabella is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Evelyn is a knight. No contradiction is found in their claim that Jackson is a knight and Samuel is a knave.", "Assume Jackson is a knight. No contradiction is found in their claim that Michael is a knight if and only if Evelyn is a knight.", "Assume Michael is a knight. No contradiction is found in their claim that If Joseph is a knight then Samuel is a knave.", "Assume Joseph is a knight. No contradiction is found in their claim that Isabella is a knave.", "Isabella cannot be a knight, because this would contradict the claim of Joseph that Isabella is a knave.", "Assume Isabella is a knave. No contradiction is found in their false claim that Jackson is a knight if and only if Michael is a knave.", "Samuel cannot be a knight, because this would contradict the claim of Evelyn that Jackson is a knight and Samuel is a knave.", "Assume Samuel is a knave. No contradiction is found in their false claim that Mason is a knight and Evelyn is a knight.", "Mason cannot be a knight, because this would contradict the false claim of Samuel that Mason is a knight and Evelyn is a knight.", "Mason cannot be a knave, because this would contradict the false claim of their own that Isabella is a knave and Michael is a knight.", "We have exhausted all possibilities for Mason, Samuel, and Isabella, so let us go back and reconsider Joseph.", "Assume Joseph is a knave. No contradiction is found in their false claim that Isabella is a knave.", "Isabella cannot be a knight, because this would contradict the claim of their own that Jackson is a knight if and only if Michael is a knave.", "Isabella cannot be a knave, because this would contradict the false claim of Joseph that Isabella is a knave.", "We have exhausted all possibilities for Isabella and Joseph, so let us go back and reconsider Michael.", "Michael cannot be a knave, because this would contradict the claim of Jackson that Michael is a knight if and only if Evelyn is a knight.", "We have exhausted all possibilities for Michael, so let us go back and reconsider Jackson.", "Jackson cannot be a knave, because this would contradict the claim of Evelyn that Jackson is a knight and Samuel is a knave.", "We have exhausted all possibilities for Jackson, so let us go back and reconsider Evelyn.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Jackson is a knight and Samuel is a knave.", "Assume Jackson is a knight. No contradiction is found in their claim that Michael is a knight if and only if Evelyn is a knight.", "Michael cannot be a knight, because this would contradict the claim of Jackson that Michael is a knight if and only if Evelyn is a knight.", "Assume Michael is a knave. No contradiction is found in their false claim that If Joseph is a knight then Samuel is a knave.", "Assume Joseph is a knight. No contradiction is found in their claim that Isabella is a knave.", "Isabella cannot be a knight, because this would contradict the claim of Joseph that Isabella is a knave.", "Isabella cannot be a knave, because this would contradict the false claim of their own that Jackson is a knight if and only if Michael is a knave.", "We have exhausted all possibilities for Isabella, so let us go back and reconsider Joseph.", "Joseph cannot be a knave, because this would contradict the false claim of Michael that If Joseph is a knight then Samuel is a knave.", "We have exhausted all possibilities for Joseph and Michael, so let us go back and reconsider Jackson.", "Assume Jackson is a knave. No contradiction is found in their false claim that Michael is a knight if and only if Evelyn is a knight.", "Assume Michael is a knight. No contradiction is found in their claim that If Joseph is a knight then Samuel is a knave.", "Assume Joseph is a knight. No contradiction is found in their claim that Isabella is a knave.", "Isabella cannot be a knight, because this would contradict the claim of Joseph that Isabella is a knave.", "Isabella cannot be a knave, because this would contradict the false claim of their own that Jackson is a knight if and only if Michael is a knave.", "We have exhausted all possibilities for Isabella, so let us go back and reconsider Joseph.", "Assume Joseph is a knave. No contradiction is found in their false claim that Isabella is a knave.", "Assume Isabella is a knight. No contradiction is found in their claim that Jackson is a knight if and only if Michael is a knave.", "Samuel cannot be a knight, because this would contradict the claim of their own that Mason is a knight and Evelyn is a knight.", "Assume Samuel is a knave. No contradiction is found in their false claim that Mason is a knight and Evelyn is a knight.", "Mason cannot be a knight, because this would contradict the claim of their own that Isabella is a knave and Michael is a knight.", "Assume Mason is a knave. No contradiction is found in their false claim that Isabella is a knave and Michael is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 4), ('lying', 1)), ('and', ('telling-truth', 2), ('telling-truth', 0)), ('and', ('lying', 6), ('telling-truth', 5)), ('lying', 6), ('<=>', ('telling-truth', 5), ('telling-truth', 0)), ('->', ('telling-truth', 3), ('lying', 1)), ('<=>', ('telling-truth', 4), ('lying', 5)))", "index": 473}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Isabella, Olivia, Noah, Penelope, James, Grace, and Henry. Isabella said that Penelope is a knave if and only if James is a knight. Olivia said, \"Isabella is a knave if and only if Penelope is a knave.\" Noah told you that James is a knight and Olivia is a knight. Penelope stated, \"Noah is a knave\". James remarked, \"Noah is a knave if and only if Grace is a knight\". Grace asserted: \"Olivia is a knight or Isabella is a knave\". \"Isabella is not a knight,\" Henry mentioned. So who is a knight and who is a knave?", "names": ["Isabella", "Olivia", "Noah", "Penelope", "James", "Grace", "Henry"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true, true, true, true], "solution_text": "Isabella is a knave, Olivia is a knave, Noah is a knave, Penelope is a knight, James is a knight, Grace is a knight, and Henry is a knight.", "solution_text_format": "(1) Isabella is a knave\n(2) Olivia is a knave\n(3) Noah is a knave\n(4) Penelope is a knight\n(5) James is a knight\n(6) Grace is a knight\n(7) Henry is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Isabella is a knight. No contradiction is found in their claim that Penelope is a knave if and only if James is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that Noah is a knave.", "Noah cannot be a knight, because this would contradict the claim of Penelope that Noah is a knave.", "Assume Noah is a knave. No contradiction is found in their false claim that James is a knight and Olivia is a knight.", "James cannot be a knight, because this would contradict the claim of Isabella that Penelope is a knave if and only if James is a knight.", "Assume James is a knave. No contradiction is found in their false claim that Noah is a knave if and only if Grace is a knight.", "Grace cannot be a knight, because this would contradict the false claim of James that Noah is a knave if and only if Grace is a knight.", "Assume Grace is a knave. No contradiction is found in their false claim that Olivia is a knight or Isabella is a knave.", "Olivia cannot be a knight, because this would contradict the false claim of Grace that Olivia is a knight or Isabella is a knave.", "Olivia cannot be a knave, because this would contradict the false claim of their own that Isabella is a knave if and only if Penelope is a knave.", "We have exhausted all possibilities for Olivia, Grace, James, and Noah, so let us go back and reconsider Penelope.", "Assume Penelope is a knave. No contradiction is found in their false claim that Noah is a knave.", "Assume Noah is a knight. No contradiction is found in their claim that James is a knight and Olivia is a knight.", "Assume James is a knight. No contradiction is found in their claim that Noah is a knave if and only if Grace is a knight.", "Grace cannot be a knight, because this would contradict the claim of James that Noah is a knave if and only if Grace is a knight.", "Assume Grace is a knave. No contradiction is found in their false claim that Olivia is a knight or Isabella is a knave.", "Olivia cannot be a knight, because this would contradict the claim of their own that Isabella is a knave if and only if Penelope is a knave.", "Olivia cannot be a knave, because this would contradict the claim of Noah that James is a knight and Olivia is a knight.", "We have exhausted all possibilities for Olivia and Grace, so let us go back and reconsider James.", "James cannot be a knave, because this would contradict the claim of Isabella that Penelope is a knave if and only if James is a knight.", "We have exhausted all possibilities for James, so let us go back and reconsider Noah.", "Noah cannot be a knave, because this would contradict the false claim of Penelope that Noah is a knave.", "We have exhausted all possibilities for Noah and Penelope, so let us go back and reconsider Isabella.", "Assume Isabella is a knave. No contradiction is found in their false claim that Penelope is a knave if and only if James is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that Noah is a knave.", "Noah cannot be a knight, because this would contradict the claim of Penelope that Noah is a knave.", "Assume Noah is a knave. No contradiction is found in their false claim that James is a knight and Olivia is a knight.", "Assume James is a knight. No contradiction is found in their claim that Noah is a knave if and only if Grace is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that Olivia is a knight or Isabella is a knave.", "Olivia cannot be a knight, because this would contradict the claim of their own that Isabella is a knave if and only if Penelope is a knave.", "Assume Olivia is a knave. No contradiction is found in their false claim that Isabella is a knave if and only if Penelope is a knave.", "Assume Henry is a knight. No contradiction is found in their claim that Isabella is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 3), ('telling-truth', 4)), ('<=>', ('lying', 0), ('lying', 3)), ('and', ('telling-truth', 4), ('telling-truth', 1)), ('lying', 2), ('<=>', ('lying', 2), ('telling-truth', 5)), ('or', ('telling-truth', 1), ('lying', 0)), ('not', ('telling-truth', 0)))", "index": 474}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Ethan, Lily, Matthew, Jackson, Noah, William, and Olivia. Ethan said that Jackson is a knave and Matthew is a knave. \"Matthew is a knight,\" Lily claimed. Matthew noted, \"William is a knave or Noah is a knave\". \"Ethan is a knight or Lily is a knight\" - Jackson. \"Noah is a knight or Matthew is a knight,\" Noah declared. \"William is a knight if and only if Jackson is a knight,\" William declared. \"If Matthew is a knight then Lily is a knave,\" Olivia mentioned. So who is a knight and who is a knave?", "names": ["Ethan", "Lily", "Matthew", "Jackson", "Noah", "William", "Olivia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, true, false, false], "solution_text": "Ethan is a knave, Lily is a knight, Matthew is a knight, Jackson is a knight, Noah is a knight, William is a knave, and Olivia is a knave.", "solution_text_format": "(1) Ethan is a knave\n(2) Lily is a knight\n(3) Matthew is a knight\n(4) Jackson is a knight\n(5) Noah is a knight\n(6) William is a knave\n(7) Olivia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ethan is a knight. No contradiction is found in their claim that Jackson is a knave and Matthew is a knave.", "Jackson cannot be a knight, because this would contradict the claim of Ethan that Jackson is a knave and Matthew is a knave.", "Jackson cannot be a knave, because this would contradict the false claim of their own that Ethan is a knight or Lily is a knight.", "We have exhausted all possibilities for Jackson, so let us go back and reconsider Ethan.", "Assume Ethan is a knave. No contradiction is found in their false claim that Jackson is a knave and Matthew is a knave.", "Assume Jackson is a knight. No contradiction is found in their claim that Ethan is a knight or Lily is a knight.", "Assume Lily is a knight. No contradiction is found in their claim that Matthew is a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that William is a knave or Noah is a knave.", "Assume William is a knight. No contradiction is found in their claim that William is a knight if and only if Jackson is a knight.", "Noah cannot be a knight, because this would contradict the claim of Matthew that William is a knave or Noah is a knave.", "Noah cannot be a knave, because this would contradict the false claim of their own that Noah is a knight or Matthew is a knight.", "We have exhausted all possibilities for Noah, so let us go back and reconsider William.", "Assume William is a knave. No contradiction is found in their false claim that William is a knight if and only if Jackson is a knight.", "Assume Noah is a knight. No contradiction is found in their claim that Noah is a knight or Matthew is a knight.", "Olivia cannot be a knight, because this would contradict the claim of their own that If Matthew is a knight then Lily is a knave.", "Assume Olivia is a knave. No contradiction is found in their false claim that If Matthew is a knight then Lily is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 3), ('lying', 2)), ('telling-truth', 2), ('or', ('lying', 5), ('lying', 4)), ('or', ('telling-truth', 0), ('telling-truth', 1)), ('or', ('telling-truth', 4), ('telling-truth', 2)), ('<=>', ('telling-truth', 5), ('telling-truth', 3)), ('->', ('telling-truth', 2), ('lying', 1)))", "index": 475}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Charlotte, Lily, Jackson, Sophia, Ella, Riley, and Aiden. Charlotte remarked, \"Lily is a knave or Riley is a knave\". \"Ella is a knight,\" Lily claimed. Jackson expressed that Sophia is a knight if and only if Ella is a knight. \"Ella is a knave or Aiden is a knight,\" Sophia declared. Ella said, \"If Ella is a knight then Charlotte is a knight.\" Riley told you that Lily is not a knight. In a statement by Aiden: \"If Aiden is a knight then Charlotte is a knight\". So who is a knight and who is a knave?", "names": ["Charlotte", "Lily", "Jackson", "Sophia", "Ella", "Riley", "Aiden"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, true, false, true], "solution_text": "Charlotte is a knight, Lily is a knight, Jackson is a knight, Sophia is a knight, Ella is a knight, Riley is a knave, and Aiden is a knight.", "solution_text_format": "(1) Charlotte is a knight\n(2) Lily is a knight\n(3) Jackson is a knight\n(4) Sophia is a knight\n(5) Ella is a knight\n(6) Riley is a knave\n(7) Aiden is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Charlotte is a knight. No contradiction is found in their claim that Lily is a knave or Riley is a knave.", "Assume Lily is a knight. No contradiction is found in their claim that Ella is a knight.", "Assume Ella is a knight. No contradiction is found in their claim that If Ella is a knight then Charlotte is a knight.", "Riley cannot be a knight, because this would contradict the claim of Charlotte that Lily is a knave or Riley is a knave.", "Assume Riley is a knave. No contradiction is found in their false claim that Lily is not a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that Sophia is a knight if and only if Ella is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that Ella is a knave or Aiden is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that If Aiden is a knight then Charlotte is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('lying', 5)), ('telling-truth', 4), ('<=>', ('telling-truth', 3), ('telling-truth', 4)), ('or', ('lying', 4), ('telling-truth', 6)), ('->', ('telling-truth', 4), ('telling-truth', 0)), ('not', ('telling-truth', 1)), ('->', ('telling-truth', 6), ('telling-truth', 0)))", "index": 476}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Samuel, Mia, Liam, Abigail, Chloe, Henry, and Matthew. Samuel asserted: \"Liam is a knave or Henry is a knight\". \"Henry is not a knight,\" Mia claimed. Liam noted, \"Samuel is not a knight\". Abigail told you that Liam is a knight or Mia is a knave. According to Chloe, \"Liam is a knave or Mia is a knave\". According to Henry, \"Mia is a knight and Liam is a knave\". Matthew expressed that Abigail is not a knight. So who is a knight and who is a knave?", "names": ["Samuel", "Mia", "Liam", "Abigail", "Chloe", "Henry", "Matthew"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, false, false, false], "solution_text": "Samuel is a knave, Mia is a knight, Liam is a knight, Abigail is a knight, Chloe is a knave, Henry is a knave, and Matthew is a knave.", "solution_text_format": "(1) Samuel is a knave\n(2) Mia is a knight\n(3) Liam is a knight\n(4) Abigail is a knight\n(5) Chloe is a knave\n(6) Henry is a knave\n(7) Matthew is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Samuel is a knight. No contradiction is found in their claim that Liam is a knave or Henry is a knight.", "Liam cannot be a knight, because this would contradict the claim of their own that Samuel is not a knight.", "Assume Liam is a knave. No contradiction is found in their false claim that Samuel is not a knight.", "Assume Henry is a knight. No contradiction is found in their claim that Mia is a knight and Liam is a knave.", "Mia cannot be a knight, because this would contradict the claim of their own that Henry is not a knight.", "Mia cannot be a knave, because this would contradict the claim of Henry that Mia is a knight and Liam is a knave.", "We have exhausted all possibilities for Mia, so let us go back and reconsider Henry.", "Assume Henry is a knave. No contradiction is found in their false claim that Mia is a knight and Liam is a knave.", "Mia cannot be a knight, because this would contradict the false claim of Henry that Mia is a knight and Liam is a knave.", "Mia cannot be a knave, because this would contradict the false claim of their own that Henry is not a knight.", "We have exhausted all possibilities for Mia, Henry, and Liam, so let us go back and reconsider Samuel.", "Assume Samuel is a knave. No contradiction is found in their false claim that Liam is a knave or Henry is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that Samuel is not a knight.", "Henry cannot be a knight, because this would contradict the false claim of Samuel that Liam is a knave or Henry is a knight.", "Assume Henry is a knave. No contradiction is found in their false claim that Mia is a knight and Liam is a knave.", "Assume Mia is a knight. No contradiction is found in their claim that Henry is not a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that Liam is a knight or Mia is a knave.", "Chloe cannot be a knight, because this would contradict the claim of their own that Liam is a knave or Mia is a knave.", "Assume Chloe is a knave. No contradiction is found in their false claim that Liam is a knave or Mia is a knave.", "Matthew cannot be a knight, because this would contradict the claim of their own that Abigail is not a knight.", "Assume Matthew is a knave. No contradiction is found in their false claim that Abigail is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 2), ('telling-truth', 5)), ('not', ('telling-truth', 5)), ('not', ('telling-truth', 0)), ('or', ('telling-truth', 2), ('lying', 1)), ('or', ('lying', 2), ('lying', 1)), ('and', ('telling-truth', 1), ('lying', 2)), ('not', ('telling-truth', 3)))", "index": 477}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Henry, Riley, David, Michael, Matthew, Penelope, and Abigail. Henry was heard saying, \"Penelope is a knight if and only if Penelope is a knave\". Riley asserted: \"Michael is a knave and Abigail is a knave\". As David put it, \"Matthew is a knave\". In Michael's words: \"If Riley is a knight then Henry is a knave\". Matthew commented, \"If Abigail is a knave then Henry is a knave\". Penelope told you that David is a knight and Riley is a knave. In Abigail's words: \"Henry is a knave and Michael is a knight\". So who is a knight and who is a knave?", "names": ["Henry", "Riley", "David", "Michael", "Matthew", "Penelope", "Abigail"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true, true, false, true], "solution_text": "Henry is a knave, Riley is a knave, David is a knave, Michael is a knight, Matthew is a knight, Penelope is a knave, and Abigail is a knight.", "solution_text_format": "(1) Henry is a knave\n(2) Riley is a knave\n(3) David is a knave\n(4) Michael is a knight\n(5) Matthew is a knight\n(6) Penelope is a knave\n(7) Abigail is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Henry cannot be a knight, because this would contradict the claim of their own that Penelope is a knight if and only if Penelope is a knave.", "Assume Henry is a knave. No contradiction is found in their false claim that Penelope is a knight if and only if Penelope is a knave.", "Assume Penelope is a knight. No contradiction is found in their claim that David is a knight and Riley is a knave.", "Assume David is a knight. No contradiction is found in their claim that Matthew is a knave.", "Matthew cannot be a knight, because this would contradict the claim of David that Matthew is a knave.", "Matthew cannot be a knave, because this would contradict the false claim of their own that If Abigail is a knave then Henry is a knave.", "We have exhausted all possibilities for Matthew, so let us go back and reconsider David.", "David cannot be a knave, because this would contradict the claim of Penelope that David is a knight and Riley is a knave.", "We have exhausted all possibilities for David, so let us go back and reconsider Penelope.", "Assume Penelope is a knave. No contradiction is found in their false claim that David is a knight and Riley is a knave.", "Assume David is a knight. No contradiction is found in their claim that Matthew is a knave.", "Matthew cannot be a knight, because this would contradict the claim of David that Matthew is a knave.", "Matthew cannot be a knave, because this would contradict the false claim of their own that If Abigail is a knave then Henry is a knave.", "We have exhausted all possibilities for Matthew, so let us go back and reconsider David.", "Assume David is a knave. No contradiction is found in their false claim that Matthew is a knave.", "Assume Matthew is a knight. No contradiction is found in their claim that If Abigail is a knave then Henry is a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that Henry is a knave and Michael is a knight.", "Assume Michael is a knight. No contradiction is found in their claim that If Riley is a knight then Henry is a knave.", "Riley cannot be a knight, because this would contradict the claim of their own that Michael is a knave and Abigail is a knave.", "Assume Riley is a knave. No contradiction is found in their false claim that Michael is a knave and Abigail is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 5), ('lying', 5)), ('and', ('lying', 3), ('lying', 6)), ('lying', 4), ('->', ('telling-truth', 1), ('lying', 0)), ('->', ('lying', 6), ('lying', 0)), ('and', ('telling-truth', 2), ('lying', 1)), ('and', ('lying', 0), ('telling-truth', 3)))", "index": 478}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Elizabeth, Avery, Alexander, Benjamin, Isabella, Mason, and Victoria. \"Victoria is a knight and Isabella is a knight,\" Elizabeth declared. Avery was heard saying, \"Mason is a knight if and only if Avery is a knight\". Alexander said that Victoria is not a knight. According to Benjamin, \"Alexander is a knight\". \"Benjamin is not a knight,\" Isabella claimed. In a statement by Mason: \"Avery is a knave and Alexander is a knave\". Victoria told you that Mason is a knight. So who is a knight and who is a knave?", "names": ["Elizabeth", "Avery", "Alexander", "Benjamin", "Isabella", "Mason", "Victoria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false, true, true, true], "solution_text": "Elizabeth is a knight, Avery is a knave, Alexander is a knave, Benjamin is a knave, Isabella is a knight, Mason is a knight, and Victoria is a knight.", "solution_text_format": "(1) Elizabeth is a knight\n(2) Avery is a knave\n(3) Alexander is a knave\n(4) Benjamin is a knave\n(5) Isabella is a knight\n(6) Mason is a knight\n(7) Victoria is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Elizabeth is a knight. No contradiction is found in their claim that Victoria is a knight and Isabella is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that Mason is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that Avery is a knave and Alexander is a knave.", "Avery cannot be a knight, because this would contradict the claim of Mason that Avery is a knave and Alexander is a knave.", "Assume Avery is a knave. No contradiction is found in their false claim that Mason is a knight if and only if Avery is a knight.", "Alexander cannot be a knight, because this would contradict the claim of their own that Victoria is not a knight.", "Assume Alexander is a knave. No contradiction is found in their false claim that Victoria is not a knight.", "Assume Isabella is a knight. No contradiction is found in their claim that Benjamin is not a knight.", "Benjamin cannot be a knight, because this would contradict the claim of their own that Alexander is a knight.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Alexander is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 6), ('telling-truth', 4)), ('<=>', ('telling-truth', 5), ('telling-truth', 1)), ('not', ('telling-truth', 6)), ('telling-truth', 2), ('not', ('telling-truth', 3)), ('and', ('lying', 1), ('lying', 2)), ('telling-truth', 5))", "index": 479}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Ava, Aria, Olivia, Ethan, Joseph, Jack, and Amelia. Ava expressed that Amelia is a knight. \"If Jack is a knight then Ethan is a knight,\" Aria declared. In Olivia's words: \"Aria is a knave or Ethan is a knight\". Ethan remarked, \"Aria is not a knave\". According to Joseph, \"Ava is a knight or Ethan is a knight\". Jack told you that Amelia is a knight and Joseph is a knight. Amelia was heard saying, \"Aria is a knight\". So who is a knight and who is a knave?", "names": ["Ava", "Aria", "Olivia", "Ethan", "Joseph", "Jack", "Amelia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, true, true, true], "solution_text": "Ava is a knight, Aria is a knight, Olivia is a knight, Ethan is a knight, Joseph is a knight, Jack is a knight, and Amelia is a knight.", "solution_text_format": "(1) Ava is a knight\n(2) Aria is a knight\n(3) Olivia is a knight\n(4) Ethan is a knight\n(5) Joseph is a knight\n(6) Jack is a knight\n(7) Amelia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ava is a knight. No contradiction is found in their claim that Amelia is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that Aria is a knight.", "Assume Aria is a knight. No contradiction is found in their claim that If Jack is a knight then Ethan is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that Amelia is a knight and Joseph is a knight.", "Assume Joseph is a knight. No contradiction is found in their claim that Ava is a knight or Ethan is a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that Aria is not a knave.", "Assume Olivia is a knight. No contradiction is found in their claim that Aria is a knave or Ethan is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 6), ('->', ('telling-truth', 5), ('telling-truth', 3)), ('or', ('lying', 1), ('telling-truth', 3)), ('not', ('lying', 1)), ('or', ('telling-truth', 0), ('telling-truth', 3)), ('and', ('telling-truth', 6), ('telling-truth', 4)), ('telling-truth', 1))", "index": 480}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Zoey, Aiden, Ethan, Scarlett, Olivia, Abigail, and Lily. In Zoey's words: \"Scarlett is a knave or Ethan is a knight\". In Aiden's words: \"Lily is a knave if and only if Abigail is a knight\". Ethan was heard saying, \"Scarlett is a knave or Aiden is a knight\". \"Zoey is not a knave,\" Scarlett declared. According to Olivia, \"Lily is not a knight\". Abigail told you that Scarlett is a knave or Zoey is a knave. \"If Scarlett is a knight then Aiden is a knight\" - Lily. So who is a knight and who is a knave?", "names": ["Zoey", "Aiden", "Ethan", "Scarlett", "Olivia", "Abigail", "Lily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, false, false, true], "solution_text": "Zoey is a knight, Aiden is a knight, Ethan is a knight, Scarlett is a knight, Olivia is a knave, Abigail is a knave, and Lily is a knight.", "solution_text_format": "(1) Zoey is a knight\n(2) Aiden is a knight\n(3) Ethan is a knight\n(4) Scarlett is a knight\n(5) Olivia is a knave\n(6) Abigail is a knave\n(7) Lily is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Zoey is a knight. No contradiction is found in their claim that Scarlett is a knave or Ethan is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that Zoey is not a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that Scarlett is a knave or Aiden is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that Lily is a knave if and only if Abigail is a knight.", "Assume Lily is a knight. No contradiction is found in their claim that If Scarlett is a knight then Aiden is a knight.", "Abigail cannot be a knight, because this would contradict the claim of Aiden that Lily is a knave if and only if Abigail is a knight.", "Assume Abigail is a knave. No contradiction is found in their false claim that Scarlett is a knave or Zoey is a knave.", "Olivia cannot be a knight, because this would contradict the claim of their own that Lily is not a knight.", "Assume Olivia is a knave. No contradiction is found in their false claim that Lily is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 3), ('telling-truth', 2)), ('<=>', ('lying', 6), ('telling-truth', 5)), ('or', ('lying', 3), ('telling-truth', 1)), ('not', ('lying', 0)), ('not', ('telling-truth', 6)), ('or', ('lying', 3), ('lying', 0)), ('->', ('telling-truth', 3), ('telling-truth', 1)))", "index": 481}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Noah, Jack, Aurora, Grace, Michael, Harper, and Zoey. In a statement by Noah: \"Jack is a knave or Grace is a knave\". \"Grace is a knight\" - Jack. Aurora noted, \"Noah is a knight or Grace is a knight\". Grace stated, \"Harper is a knight or Aurora is a knight\". Michael told you that If Noah is a knight then Michael is a knight. Harper said that Noah is a knight and Aurora is a knave. Zoey noted, \"Grace is not a knight\". So who is a knight and who is a knave?", "names": ["Noah", "Jack", "Aurora", "Grace", "Michael", "Harper", "Zoey"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, true, false, false], "solution_text": "Noah is a knave, Jack is a knight, Aurora is a knight, Grace is a knight, Michael is a knight, Harper is a knave, and Zoey is a knave.", "solution_text_format": "(1) Noah is a knave\n(2) Jack is a knight\n(3) Aurora is a knight\n(4) Grace is a knight\n(5) Michael is a knight\n(6) Harper is a knave\n(7) Zoey is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Noah is a knight. No contradiction is found in their claim that Jack is a knave or Grace is a knave.", "Assume Jack is a knight. No contradiction is found in their claim that Grace is a knight.", "Grace cannot be a knight, because this would contradict the claim of Noah that Jack is a knave or Grace is a knave.", "Grace cannot be a knave, because this would contradict the claim of Jack that Grace is a knight.", "We have exhausted all possibilities for Grace, so let us go back and reconsider Jack.", "Assume Jack is a knave. No contradiction is found in their false claim that Grace is a knight.", "Grace cannot be a knight, because this would contradict the false claim of Jack that Grace is a knight.", "Assume Grace is a knave. No contradiction is found in their false claim that Harper is a knight or Aurora is a knight.", "Harper cannot be a knight, because this would contradict the false claim of Grace that Harper is a knight or Aurora is a knight.", "Assume Harper is a knave. No contradiction is found in their false claim that Noah is a knight and Aurora is a knave.", "Aurora cannot be a knight, because this would contradict the false claim of Grace that Harper is a knight or Aurora is a knight.", "Aurora cannot be a knave, because this would contradict the false claim of their own that Noah is a knight or Grace is a knight.", "We have exhausted all possibilities for Aurora, Harper, Grace, and Jack, so let us go back and reconsider Noah.", "Assume Noah is a knave. No contradiction is found in their false claim that Jack is a knave or Grace is a knave.", "Assume Jack is a knight. No contradiction is found in their claim that Grace is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that Harper is a knight or Aurora is a knight.", "Harper cannot be a knight, because this would contradict the claim of their own that Noah is a knight and Aurora is a knave.", "Assume Harper is a knave. No contradiction is found in their false claim that Noah is a knight and Aurora is a knave.", "Assume Aurora is a knight. No contradiction is found in their claim that Noah is a knight or Grace is a knight.", "Assume Michael is a knight. No contradiction is found in their claim that If Noah is a knight then Michael is a knight.", "Zoey cannot be a knight, because this would contradict the claim of their own that Grace is not a knight.", "Assume Zoey is a knave. No contradiction is found in their false claim that Grace is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('lying', 3)), ('telling-truth', 3), ('or', ('telling-truth', 0), ('telling-truth', 3)), ('or', ('telling-truth', 5), ('telling-truth', 2)), ('->', ('telling-truth', 0), ('telling-truth', 4)), ('and', ('telling-truth', 0), ('lying', 2)), ('not', ('telling-truth', 3)))", "index": 482}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Aurora, Liam, Grace, Sophia, Noah, Mason, and Evelyn. Aurora said that Noah is not a knight. Liam expressed that Grace is not a knight. Grace stated, \"Noah is not a knave\". In Sophia's words: \"Liam is a knave\". Noah commented, \"Grace is a knave and Liam is a knave\". In a statement by Mason: \"If Liam is a knave then Mason is a knight\". \"If Liam is a knave then Evelyn is a knight,\" Evelyn claimed. So who is a knight and who is a knave?", "names": ["Aurora", "Liam", "Grace", "Sophia", "Noah", "Mason", "Evelyn"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false, false, true, true], "solution_text": "Aurora is a knight, Liam is a knight, Grace is a knave, Sophia is a knave, Noah is a knave, Mason is a knight, and Evelyn is a knight.", "solution_text_format": "(1) Aurora is a knight\n(2) Liam is a knight\n(3) Grace is a knave\n(4) Sophia is a knave\n(5) Noah is a knave\n(6) Mason is a knight\n(7) Evelyn is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aurora is a knight. No contradiction is found in their claim that Noah is not a knight.", "Noah cannot be a knight, because this would contradict the claim of Aurora that Noah is not a knight.", "Assume Noah is a knave. No contradiction is found in their false claim that Grace is a knave and Liam is a knave.", "Grace cannot be a knight, because this would contradict the claim of their own that Noah is not a knave.", "Assume Grace is a knave. No contradiction is found in their false claim that Noah is not a knave.", "Assume Liam is a knight. No contradiction is found in their claim that Grace is not a knight.", "Sophia cannot be a knight, because this would contradict the claim of their own that Liam is a knave.", "Assume Sophia is a knave. No contradiction is found in their false claim that Liam is a knave.", "Assume Mason is a knight. No contradiction is found in their claim that If Liam is a knave then Mason is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that If Liam is a knave then Evelyn is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 4)), ('not', ('telling-truth', 2)), ('not', ('lying', 4)), ('lying', 1), ('and', ('lying', 2), ('lying', 1)), ('->', ('lying', 1), ('telling-truth', 5)), ('->', ('lying', 1), ('telling-truth', 6)))", "index": 483}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Elizabeth, Zoey, Aurora, Mason, Scarlett, Isabella, and Sebastian. \"Isabella is a knave if and only if Mason is a knave,\" Elizabeth declared. Zoey remarked, \"Scarlett is a knave or Scarlett is a knight\". Aurora said, \"Isabella is a knave if and only if Zoey is a knave.\" Mason said, \"If Isabella is a knave then Zoey is a knave.\" According to Scarlett, \"Isabella is not a knight\". Isabella was heard saying, \"Mason is a knave if and only if Sebastian is a knave\". Sebastian told you that Aurora is a knave if and only if Elizabeth is a knave. So who is a knight and who is a knave?", "names": ["Elizabeth", "Zoey", "Aurora", "Mason", "Scarlett", "Isabella", "Sebastian"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, false, true, true], "solution_text": "Elizabeth is a knight, Zoey is a knight, Aurora is a knight, Mason is a knight, Scarlett is a knave, Isabella is a knight, and Sebastian is a knight.", "solution_text_format": "(1) Elizabeth is a knight\n(2) Zoey is a knight\n(3) Aurora is a knight\n(4) Mason is a knight\n(5) Scarlett is a knave\n(6) Isabella is a knight\n(7) Sebastian is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Elizabeth is a knight. No contradiction is found in their claim that Isabella is a knave if and only if Mason is a knave.", "Assume Isabella is a knight. No contradiction is found in their claim that Mason is a knave if and only if Sebastian is a knave.", "Assume Mason is a knight. No contradiction is found in their claim that If Isabella is a knave then Zoey is a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that Scarlett is a knave or Scarlett is a knight.", "Scarlett cannot be a knight, because this would contradict the claim of their own that Isabella is not a knight.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Isabella is not a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Aurora is a knave if and only if Elizabeth is a knave.", "Assume Aurora is a knight. No contradiction is found in their claim that Isabella is a knave if and only if Zoey is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 5), ('lying', 3)), ('or', ('lying', 4), ('telling-truth', 4)), ('<=>', ('lying', 5), ('lying', 1)), ('->', ('lying', 5), ('lying', 1)), ('not', ('telling-truth', 5)), ('<=>', ('lying', 3), ('lying', 6)), ('<=>', ('lying', 2), ('lying', 0)))", "index": 484}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Aurora, Lily, Logan, Jackson, Aria, Amelia, and David. Aurora commented, \"Jackson is not a knave\". In a statement by Lily: \"If Amelia is a knight then David is a knave\". Logan noted, \"Jackson is a knight or Aria is a knight\". In Jackson's words: \"If Amelia is a knight then Aria is a knave\". \"Logan is a knight or Amelia is a knave,\" Aria declared. As Amelia put it, \"Logan is not a knave\". David said, \"Amelia is a knave.\" So who is a knight and who is a knave?", "names": ["Aurora", "Lily", "Logan", "Jackson", "Aria", "Amelia", "David"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false, true, true, false], "solution_text": "Aurora is a knave, Lily is a knight, Logan is a knight, Jackson is a knave, Aria is a knight, Amelia is a knight, and David is a knave.", "solution_text_format": "(1) Aurora is a knave\n(2) Lily is a knight\n(3) Logan is a knight\n(4) Jackson is a knave\n(5) Aria is a knight\n(6) Amelia is a knight\n(7) David is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aurora is a knight. No contradiction is found in their claim that Jackson is not a knave.", "Assume Jackson is a knight. No contradiction is found in their claim that If Amelia is a knight then Aria is a knave.", "Assume Amelia is a knight. No contradiction is found in their claim that Logan is not a knave.", "Assume Logan is a knight. No contradiction is found in their claim that Jackson is a knight or Aria is a knight.", "Aria cannot be a knight, because this would contradict the claim of Jackson that If Amelia is a knight then Aria is a knave.", "Aria cannot be a knave, because this would contradict the false claim of their own that Logan is a knight or Amelia is a knave.", "We have exhausted all possibilities for Aria, so let us go back and reconsider Logan.", "Logan cannot be a knave, because this would contradict the false claim of their own that Jackson is a knight or Aria is a knight.", "We have exhausted all possibilities for Logan, so let us go back and reconsider Amelia.", "Assume Amelia is a knave. No contradiction is found in their false claim that Logan is not a knave.", "Logan cannot be a knight, because this would contradict the false claim of Amelia that Logan is not a knave.", "Logan cannot be a knave, because this would contradict the false claim of their own that Jackson is a knight or Aria is a knight.", "We have exhausted all possibilities for Logan and Amelia, so let us go back and reconsider Jackson.", "Jackson cannot be a knave, because this would contradict the claim of Aurora that Jackson is not a knave.", "We have exhausted all possibilities for Jackson, so let us go back and reconsider Aurora.", "Assume Aurora is a knave. No contradiction is found in their false claim that Jackson is not a knave.", "Jackson cannot be a knight, because this would contradict the false claim of Aurora that Jackson is not a knave.", "Assume Jackson is a knave. No contradiction is found in their false claim that If Amelia is a knight then Aria is a knave.", "Assume Amelia is a knight. No contradiction is found in their claim that Logan is not a knave.", "Assume Logan is a knight. No contradiction is found in their claim that Jackson is a knight or Aria is a knight.", "Assume Aria is a knight. No contradiction is found in their claim that Logan is a knight or Amelia is a knave.", "Assume Lily is a knight. No contradiction is found in their claim that If Amelia is a knight then David is a knave.", "David cannot be a knight, because this would contradict the claim of Lily that If Amelia is a knight then David is a knave.", "Assume David is a knave. No contradiction is found in their false claim that Amelia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 3)), ('->', ('telling-truth', 5), ('lying', 6)), ('or', ('telling-truth', 3), ('telling-truth', 4)), ('->', ('telling-truth', 5), ('lying', 4)), ('or', ('telling-truth', 2), ('lying', 5)), ('not', ('lying', 2)), ('lying', 5))", "index": 485}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Lucas, Ava, Charlotte, Emily, Olivia, Zoey, and Liam. In Lucas's words: \"Lucas is a knight or Ava is a knave\". Ava commented, \"Lucas is a knight and Olivia is a knave\". Charlotte expressed that Zoey is a knave and Liam is a knave. In Emily's words: \"Ava is not a knight\". In a statement by Olivia: \"Ava is a knave or Lucas is a knight\". Zoey remarked, \"Charlotte is a knave and Emily is a knight\". Liam said that If Zoey is a knave then Ava is a knave. So who is a knight and who is a knave?", "names": ["Lucas", "Ava", "Charlotte", "Emily", "Olivia", "Zoey", "Liam"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, true, true, true], "solution_text": "Lucas is a knight, Ava is a knave, Charlotte is a knave, Emily is a knight, Olivia is a knight, Zoey is a knight, and Liam is a knight.", "solution_text_format": "(1) Lucas is a knight\n(2) Ava is a knave\n(3) Charlotte is a knave\n(4) Emily is a knight\n(5) Olivia is a knight\n(6) Zoey is a knight\n(7) Liam is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Lucas is a knight. No contradiction is found in their claim that Lucas is a knight or Ava is a knave.", "Assume Ava is a knight. No contradiction is found in their claim that Lucas is a knight and Olivia is a knave.", "Olivia cannot be a knight, because this would contradict the claim of Ava that Lucas is a knight and Olivia is a knave.", "Olivia cannot be a knave, because this would contradict the false claim of their own that Ava is a knave or Lucas is a knight.", "We have exhausted all possibilities for Olivia, so let us go back and reconsider Ava.", "Assume Ava is a knave. No contradiction is found in their false claim that Lucas is a knight and Olivia is a knave.", "Assume Olivia is a knight. No contradiction is found in their claim that Ava is a knave or Lucas is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that Zoey is a knave and Liam is a knave.", "Zoey cannot be a knight, because this would contradict the claim of Charlotte that Zoey is a knave and Liam is a knave.", "Assume Zoey is a knave. No contradiction is found in their false claim that Charlotte is a knave and Emily is a knight.", "Assume Emily is a knight. No contradiction is found in their claim that Ava is not a knight.", "Liam cannot be a knight, because this would contradict the claim of Charlotte that Zoey is a knave and Liam is a knave.", "Liam cannot be a knave, because this would contradict the false claim of their own that If Zoey is a knave then Ava is a knave.", "We have exhausted all possibilities for Liam, so let us go back and reconsider Emily.", "Emily cannot be a knave, because this would contradict the false claim of their own that Ava is not a knight.", "We have exhausted all possibilities for Emily and Zoey, so let us go back and reconsider Charlotte.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Zoey is a knave and Liam is a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that Charlotte is a knave and Emily is a knight.", "Assume Emily is a knight. No contradiction is found in their claim that Ava is not a knight.", "Assume Liam is a knight. No contradiction is found in their claim that If Zoey is a knave then Ava is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 0), ('lying', 1)), ('and', ('telling-truth', 0), ('lying', 4)), ('and', ('lying', 5), ('lying', 6)), ('not', ('telling-truth', 1)), ('or', ('lying', 1), ('telling-truth', 0)), ('and', ('lying', 2), ('telling-truth', 3)), ('->', ('lying', 5), ('lying', 1)))", "index": 486}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Logan, Joseph, Owen, Sebastian, James, Lily, and Harper. Logan expressed that Sebastian is not a knave. \"Lily is a knave if and only if Lily is a knight\" - Joseph. Owen expressed that Harper is a knight if and only if Joseph is a knave. Sebastian told you that Joseph is a knave or Harper is a knave. James remarked, \"If Owen is a knight then Logan is a knave\". \"Owen is a knave if and only if Harper is a knight,\" Lily mentioned. Harper expressed that Joseph is a knight or Logan is a knave. So who is a knight and who is a knave?", "names": ["Logan", "Joseph", "Owen", "Sebastian", "James", "Lily", "Harper"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, true, false, false], "solution_text": "Logan is a knight, Joseph is a knave, Owen is a knave, Sebastian is a knight, James is a knight, Lily is a knave, and Harper is a knave.", "solution_text_format": "(1) Logan is a knight\n(2) Joseph is a knave\n(3) Owen is a knave\n(4) Sebastian is a knight\n(5) James is a knight\n(6) Lily is a knave\n(7) Harper is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Logan is a knight. No contradiction is found in their claim that Sebastian is not a knave.", "Assume Sebastian is a knight. No contradiction is found in their claim that Joseph is a knave or Harper is a knave.", "Joseph cannot be a knight, because this would contradict the claim of their own that Lily is a knave if and only if Lily is a knight.", "Assume Joseph is a knave. No contradiction is found in their false claim that Lily is a knave if and only if Lily is a knight.", "Assume Lily is a knight. No contradiction is found in their claim that Owen is a knave if and only if Harper is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that Harper is a knight if and only if Joseph is a knave.", "Harper cannot be a knight, because this would contradict the claim of Lily that Owen is a knave if and only if Harper is a knight.", "Harper cannot be a knave, because this would contradict the claim of Owen that Harper is a knight if and only if Joseph is a knave.", "We have exhausted all possibilities for Harper, so let us go back and reconsider Owen.", "Assume Owen is a knave. No contradiction is found in their false claim that Harper is a knight if and only if Joseph is a knave.", "Harper cannot be a knight, because this would contradict the false claim of Owen that Harper is a knight if and only if Joseph is a knave.", "Harper cannot be a knave, because this would contradict the claim of Lily that Owen is a knave if and only if Harper is a knight.", "We have exhausted all possibilities for Harper and Owen, so let us go back and reconsider Lily.", "Assume Lily is a knave. No contradiction is found in their false claim that Owen is a knave if and only if Harper is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that Harper is a knight if and only if Joseph is a knave.", "Harper cannot be a knight, because this would contradict the claim of their own that Joseph is a knight or Logan is a knave.", "Harper cannot be a knave, because this would contradict the claim of Owen that Harper is a knight if and only if Joseph is a knave.", "We have exhausted all possibilities for Harper, so let us go back and reconsider Owen.", "Assume Owen is a knave. No contradiction is found in their false claim that Harper is a knight if and only if Joseph is a knave.", "Harper cannot be a knight, because this would contradict the false claim of Owen that Harper is a knight if and only if Joseph is a knave.", "Assume Harper is a knave. No contradiction is found in their false claim that Joseph is a knight or Logan is a knave.", "Assume James is a knight. No contradiction is found in their claim that If Owen is a knight then Logan is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 3)), ('<=>', ('lying', 5), ('telling-truth', 5)), ('<=>', ('telling-truth', 6), ('lying', 1)), ('or', ('lying', 1), ('lying', 6)), ('->', ('telling-truth', 2), ('lying', 0)), ('<=>', ('lying', 2), ('telling-truth', 6)), ('or', ('telling-truth', 1), ('lying', 0)))", "index": 487}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Amelia, Benjamin, Oliver, Olivia, Mia, Riley, and Aria. As Amelia put it, \"Riley is not a knight\". Benjamin expressed that Oliver is a knight. Oliver commented, \"Oliver is a knight and Amelia is a knight\". Olivia commented, \"Oliver is a knight and Amelia is a knave\". Mia was heard saying, \"Amelia is a knight if and only if Olivia is a knight\". Riley remarked, \"Olivia is a knave or Amelia is a knight\". \"Olivia is a knave or Olivia is a knight\" - Aria. So who is a knight and who is a knave?", "names": ["Amelia", "Benjamin", "Oliver", "Olivia", "Mia", "Riley", "Aria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, false, true, true, true], "solution_text": "Amelia is a knave, Benjamin is a knave, Oliver is a knave, Olivia is a knave, Mia is a knight, Riley is a knight, and Aria is a knight.", "solution_text_format": "(1) Amelia is a knave\n(2) Benjamin is a knave\n(3) Oliver is a knave\n(4) Olivia is a knave\n(5) Mia is a knight\n(6) Riley is a knight\n(7) Aria is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Amelia is a knight. No contradiction is found in their claim that Riley is not a knight.", "Riley cannot be a knight, because this would contradict the claim of Amelia that Riley is not a knight.", "Riley cannot be a knave, because this would contradict the false claim of their own that Olivia is a knave or Amelia is a knight.", "We have exhausted all possibilities for Riley, so let us go back and reconsider Amelia.", "Assume Amelia is a knave. No contradiction is found in their false claim that Riley is not a knight.", "Assume Riley is a knight. No contradiction is found in their claim that Olivia is a knave or Amelia is a knight.", "Olivia cannot be a knight, because this would contradict the claim of Riley that Olivia is a knave or Amelia is a knight.", "Assume Olivia is a knave. No contradiction is found in their false claim that Oliver is a knight and Amelia is a knave.", "Oliver cannot be a knight, because this would contradict the claim of their own that Oliver is a knight and Amelia is a knight.", "Assume Oliver is a knave. No contradiction is found in their false claim that Oliver is a knight and Amelia is a knight.", "Benjamin cannot be a knight, because this would contradict the claim of their own that Oliver is a knight.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Oliver is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that Amelia is a knight if and only if Olivia is a knight.", "Assume Aria is a knight. No contradiction is found in their claim that Olivia is a knave or Olivia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 5)), ('telling-truth', 2), ('and', ('telling-truth', 2), ('telling-truth', 0)), ('and', ('telling-truth', 2), ('lying', 0)), ('<=>', ('telling-truth', 0), ('telling-truth', 3)), ('or', ('lying', 3), ('telling-truth', 0)), ('or', ('lying', 3), ('telling-truth', 3)))", "index": 488}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Abigail, Jackson, Lucas, Harper, Grace, Sofia, and Mason. Abigail stated, \"Mason is a knight and Jackson is a knave\". According to Jackson, \"If Mason is a knave then Mason is a knight\". Lucas stated, \"If Grace is a knave then Sofia is a knave\". In a statement by Harper: \"If Abigail is a knight then Abigail is a knave\". Grace told you that Jackson is a knight or Lucas is a knight. \"Lucas is a knight and Harper is a knight,\" Sofia declared. \"Lucas is a knave\" - Mason. So who is a knight and who is a knave?", "names": ["Abigail", "Jackson", "Lucas", "Harper", "Grace", "Sofia", "Mason"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true, true, true, false], "solution_text": "Abigail is a knave, Jackson is a knave, Lucas is a knight, Harper is a knight, Grace is a knight, Sofia is a knight, and Mason is a knave.", "solution_text_format": "(1) Abigail is a knave\n(2) Jackson is a knave\n(3) Lucas is a knight\n(4) Harper is a knight\n(5) Grace is a knight\n(6) Sofia is a knight\n(7) Mason is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Abigail is a knight. No contradiction is found in their claim that Mason is a knight and Jackson is a knave.", "Assume Mason is a knight. No contradiction is found in their claim that Lucas is a knave.", "Lucas cannot be a knight, because this would contradict the claim of Mason that Lucas is a knave.", "Assume Lucas is a knave. No contradiction is found in their false claim that If Grace is a knave then Sofia is a knave.", "Grace cannot be a knight, because this would contradict the false claim of Lucas that If Grace is a knave then Sofia is a knave.", "Assume Grace is a knave. No contradiction is found in their false claim that Jackson is a knight or Lucas is a knight.", "Jackson cannot be a knight, because this would contradict the claim of Abigail that Mason is a knight and Jackson is a knave.", "Jackson cannot be a knave, because this would contradict the false claim of their own that If Mason is a knave then Mason is a knight.", "We have exhausted all possibilities for Jackson, Grace, and Lucas, so let us go back and reconsider Mason.", "Mason cannot be a knave, because this would contradict the claim of Abigail that Mason is a knight and Jackson is a knave.", "We have exhausted all possibilities for Mason, so let us go back and reconsider Abigail.", "Assume Abigail is a knave. No contradiction is found in their false claim that Mason is a knight and Jackson is a knave.", "Assume Mason is a knight. No contradiction is found in their claim that Lucas is a knave.", "Lucas cannot be a knight, because this would contradict the claim of Mason that Lucas is a knave.", "Assume Lucas is a knave. No contradiction is found in their false claim that If Grace is a knave then Sofia is a knave.", "Grace cannot be a knight, because this would contradict the false claim of Lucas that If Grace is a knave then Sofia is a knave.", "Assume Grace is a knave. No contradiction is found in their false claim that Jackson is a knight or Lucas is a knight.", "Jackson cannot be a knight, because this would contradict the false claim of Grace that Jackson is a knight or Lucas is a knight.", "Jackson cannot be a knave, because this would contradict the false claim of Abigail that Mason is a knight and Jackson is a knave.", "We have exhausted all possibilities for Jackson, Grace, and Lucas, so let us go back and reconsider Mason.", "Assume Mason is a knave. No contradiction is found in their false claim that Lucas is a knave.", "Assume Lucas is a knight. No contradiction is found in their claim that If Grace is a knave then Sofia is a knave.", "Assume Grace is a knight. No contradiction is found in their claim that Jackson is a knight or Lucas is a knight.", "Jackson cannot be a knight, because this would contradict the claim of their own that If Mason is a knave then Mason is a knight.", "Assume Jackson is a knave. No contradiction is found in their false claim that If Mason is a knave then Mason is a knight.", "Assume Sofia is a knight. No contradiction is found in their claim that Lucas is a knight and Harper is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that If Abigail is a knight then Abigail is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 6), ('lying', 1)), ('->', ('lying', 6), ('telling-truth', 6)), ('->', ('lying', 4), ('lying', 5)), ('->', ('telling-truth', 0), ('lying', 0)), ('or', ('telling-truth', 1), ('telling-truth', 2)), ('and', ('telling-truth', 2), ('telling-truth', 3)), ('lying', 2))", "index": 489}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Liam, Victoria, Ava, Michael, Grace, Aiden, and Sofia. In a statement by Liam: \"Victoria is not a knave\". Victoria noted, \"Ava is a knave and Grace is a knight\". \"If Aiden is a knight then Liam is a knave,\" Ava mentioned. Michael said, \"Victoria is a knight if and only if Liam is a knave.\" According to Grace, \"If Liam is a knight then Liam is a knave\". Aiden remarked, \"Aiden is a knight and Michael is a knight\". Sofia said that Ava is a knave or Michael is a knight. So who is a knight and who is a knave?", "names": ["Liam", "Victoria", "Ava", "Michael", "Grace", "Aiden", "Sofia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false, true, false, false], "solution_text": "Liam is a knave, Victoria is a knave, Ava is a knight, Michael is a knave, Grace is a knight, Aiden is a knave, and Sofia is a knave.", "solution_text_format": "(1) Liam is a knave\n(2) Victoria is a knave\n(3) Ava is a knight\n(4) Michael is a knave\n(5) Grace is a knight\n(6) Aiden is a knave\n(7) Sofia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Liam is a knight. No contradiction is found in their claim that Victoria is not a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that Ava is a knave and Grace is a knight.", "Ava cannot be a knight, because this would contradict the claim of Victoria that Ava is a knave and Grace is a knight.", "Assume Ava is a knave. No contradiction is found in their false claim that If Aiden is a knight then Liam is a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that Aiden is a knight and Michael is a knight.", "Michael cannot be a knight, because this would contradict the claim of their own that Victoria is a knight if and only if Liam is a knave.", "Michael cannot be a knave, because this would contradict the claim of Aiden that Aiden is a knight and Michael is a knight.", "We have exhausted all possibilities for Michael, so let us go back and reconsider Aiden.", "Aiden cannot be a knave, because this would contradict the false claim of Ava that If Aiden is a knight then Liam is a knave.", "We have exhausted all possibilities for Aiden and Ava, so let us go back and reconsider Victoria.", "Victoria cannot be a knave, because this would contradict the claim of Liam that Victoria is not a knave.", "We have exhausted all possibilities for Victoria, so let us go back and reconsider Liam.", "Assume Liam is a knave. No contradiction is found in their false claim that Victoria is not a knave.", "Victoria cannot be a knight, because this would contradict the false claim of Liam that Victoria is not a knave.", "Assume Victoria is a knave. No contradiction is found in their false claim that Ava is a knave and Grace is a knight.", "Assume Ava is a knight. No contradiction is found in their claim that If Aiden is a knight then Liam is a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that Aiden is a knight and Michael is a knight.", "Michael cannot be a knight, because this would contradict the claim of their own that Victoria is a knight if and only if Liam is a knave.", "Michael cannot be a knave, because this would contradict the claim of Aiden that Aiden is a knight and Michael is a knight.", "We have exhausted all possibilities for Michael, so let us go back and reconsider Aiden.", "Assume Aiden is a knave. No contradiction is found in their false claim that Aiden is a knight and Michael is a knight.", "Michael cannot be a knight, because this would contradict the claim of their own that Victoria is a knight if and only if Liam is a knave.", "Assume Michael is a knave. No contradiction is found in their false claim that Victoria is a knight if and only if Liam is a knave.", "Assume Grace is a knight. No contradiction is found in their claim that If Liam is a knight then Liam is a knave.", "Sofia cannot be a knight, because this would contradict the claim of their own that Ava is a knave or Michael is a knight.", "Assume Sofia is a knave. No contradiction is found in their false claim that Ava is a knave or Michael is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 1)), ('and', ('lying', 2), ('telling-truth', 4)), ('->', ('telling-truth', 5), ('lying', 0)), ('<=>', ('telling-truth', 1), ('lying', 0)), ('->', ('telling-truth', 0), ('lying', 0)), ('and', ('telling-truth', 5), ('telling-truth', 3)), ('or', ('lying', 2), ('telling-truth', 3)))", "index": 490}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Charlotte, David, Olivia, Mason, Abigail, Jack, and Michael. Charlotte said, \"Abigail is a knight and Mason is a knight.\" \"Michael is a knave,\" David declared. Olivia commented, \"Michael is not a knave\". According to Mason, \"Charlotte is a knave and Charlotte is a knight\". Abigail was heard saying, \"If Mason is a knave then Jack is a knave\". Jack told you that If David is a knave then Mason is a knave. Michael stated, \"Michael is a knight and David is a knight\". So who is a knight and who is a knave?", "names": ["Charlotte", "David", "Olivia", "Mason", "Abigail", "Jack", "Michael"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false, false, true, false], "solution_text": "Charlotte is a knave, David is a knight, Olivia is a knave, Mason is a knave, Abigail is a knave, Jack is a knight, and Michael is a knave.", "solution_text_format": "(1) Charlotte is a knave\n(2) David is a knight\n(3) Olivia is a knave\n(4) Mason is a knave\n(5) Abigail is a knave\n(6) Jack is a knight\n(7) Michael is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Charlotte is a knight. No contradiction is found in their claim that Abigail is a knight and Mason is a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that If Mason is a knave then Jack is a knave.", "Mason cannot be a knight, because this would contradict the claim of their own that Charlotte is a knave and Charlotte is a knight.", "Mason cannot be a knave, because this would contradict the claim of Charlotte that Abigail is a knight and Mason is a knight.", "We have exhausted all possibilities for Mason, so let us go back and reconsider Abigail.", "Abigail cannot be a knave, because this would contradict the claim of Charlotte that Abigail is a knight and Mason is a knight.", "We have exhausted all possibilities for Abigail, so let us go back and reconsider Charlotte.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Abigail is a knight and Mason is a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that If Mason is a knave then Jack is a knave.", "Mason cannot be a knight, because this would contradict the false claim of Charlotte that Abigail is a knight and Mason is a knight.", "Assume Mason is a knave. No contradiction is found in their false claim that Charlotte is a knave and Charlotte is a knight.", "Jack cannot be a knight, because this would contradict the claim of Abigail that If Mason is a knave then Jack is a knave.", "Jack cannot be a knave, because this would contradict the false claim of their own that If David is a knave then Mason is a knave.", "We have exhausted all possibilities for Jack and Mason, so let us go back and reconsider Abigail.", "Assume Abigail is a knave. No contradiction is found in their false claim that If Mason is a knave then Jack is a knave.", "Mason cannot be a knight, because this would contradict the claim of their own that Charlotte is a knave and Charlotte is a knight.", "Assume Mason is a knave. No contradiction is found in their false claim that Charlotte is a knave and Charlotte is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that If David is a knave then Mason is a knave.", "Assume David is a knight. No contradiction is found in their claim that Michael is a knave.", "Michael cannot be a knight, because this would contradict the claim of David that Michael is a knave.", "Assume Michael is a knave. No contradiction is found in their false claim that Michael is a knight and David is a knight.", "Olivia cannot be a knight, because this would contradict the claim of their own that Michael is not a knave.", "Assume Olivia is a knave. No contradiction is found in their false claim that Michael is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 4), ('telling-truth', 3)), ('lying', 6), ('not', ('lying', 6)), ('and', ('lying', 0), ('telling-truth', 0)), ('->', ('lying', 3), ('lying', 5)), ('->', ('lying', 1), ('lying', 3)), ('and', ('telling-truth', 6), ('telling-truth', 1)))", "index": 491}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Alexander, Benjamin, Henry, Emily, Logan, Ava, and Owen. Alexander remarked, \"Logan is a knave\". Benjamin expressed that Alexander is a knight or Owen is a knave. In Henry's words: \"Logan is a knave or Ava is a knave\". Emily commented, \"Benjamin is a knave or Benjamin is a knight\". Logan remarked, \"Benjamin is a knave\". \"Owen is not a knight,\" Ava declared. Owen commented, \"If Owen is a knight then Logan is a knight\". So who is a knight and who is a knave?", "names": ["Alexander", "Benjamin", "Henry", "Emily", "Logan", "Ava", "Owen"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true, true, false, true], "solution_text": "Alexander is a knave, Benjamin is a knave, Henry is a knight, Emily is a knight, Logan is a knight, Ava is a knave, and Owen is a knight.", "solution_text_format": "(1) Alexander is a knave\n(2) Benjamin is a knave\n(3) Henry is a knight\n(4) Emily is a knight\n(5) Logan is a knight\n(6) Ava is a knave\n(7) Owen is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Alexander is a knight. No contradiction is found in their claim that Logan is a knave.", "Logan cannot be a knight, because this would contradict the claim of Alexander that Logan is a knave.", "Assume Logan is a knave. No contradiction is found in their false claim that Benjamin is a knave.", "Assume Benjamin is a knight. No contradiction is found in their claim that Alexander is a knight or Owen is a knave.", "Owen cannot be a knight, because this would contradict the claim of their own that If Owen is a knight then Logan is a knight.", "Owen cannot be a knave, because this would contradict the false claim of their own that If Owen is a knight then Logan is a knight.", "We have exhausted all possibilities for Owen, so let us go back and reconsider Benjamin.", "Benjamin cannot be a knave, because this would contradict the false claim of their own that Alexander is a knight or Owen is a knave.", "We have exhausted all possibilities for Benjamin and Logan, so let us go back and reconsider Alexander.", "Assume Alexander is a knave. No contradiction is found in their false claim that Logan is a knave.", "Assume Logan is a knight. No contradiction is found in their claim that Benjamin is a knave.", "Benjamin cannot be a knight, because this would contradict the claim of Logan that Benjamin is a knave.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Alexander is a knight or Owen is a knave.", "Assume Owen is a knight. No contradiction is found in their claim that If Owen is a knight then Logan is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that Logan is a knave or Ava is a knave.", "Ava cannot be a knight, because this would contradict the claim of Henry that Logan is a knave or Ava is a knave.", "Assume Ava is a knave. No contradiction is found in their false claim that Owen is not a knight.", "Assume Emily is a knight. No contradiction is found in their claim that Benjamin is a knave or Benjamin is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 4), ('or', ('telling-truth', 0), ('lying', 6)), ('or', ('lying', 4), ('lying', 5)), ('or', ('lying', 1), ('telling-truth', 1)), ('lying', 1), ('not', ('telling-truth', 6)), ('->', ('telling-truth', 6), ('telling-truth', 4)))", "index": 492}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Mia, Daniel, Olivia, Abigail, Emma, Henry, and Luke. As Mia put it, \"Abigail is a knave and Luke is a knave\". \"If Luke is a knight then Abigail is a knight,\" Daniel declared. Olivia remarked, \"Abigail is a knave or Mia is a knave\". \"Emma is a knave if and only if Olivia is a knight\" - Abigail. Emma noted, \"Olivia is a knight if and only if Luke is a knave\". \"Luke is a knave\" - Henry. Luke was heard saying, \"Abigail is a knave and Luke is a knight\". So who is a knight and who is a knave?", "names": ["Mia", "Daniel", "Olivia", "Abigail", "Emma", "Henry", "Luke"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false, true, true, false], "solution_text": "Mia is a knight, Daniel is a knight, Olivia is a knight, Abigail is a knave, Emma is a knight, Henry is a knight, and Luke is a knave.", "solution_text_format": "(1) Mia is a knight\n(2) Daniel is a knight\n(3) Olivia is a knight\n(4) Abigail is a knave\n(5) Emma is a knight\n(6) Henry is a knight\n(7) Luke is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Mia is a knight. No contradiction is found in their claim that Abigail is a knave and Luke is a knave.", "Abigail cannot be a knight, because this would contradict the claim of Mia that Abigail is a knave and Luke is a knave.", "Assume Abigail is a knave. No contradiction is found in their false claim that Emma is a knave if and only if Olivia is a knight.", "Assume Emma is a knight. No contradiction is found in their claim that Olivia is a knight if and only if Luke is a knave.", "Assume Olivia is a knight. No contradiction is found in their claim that Abigail is a knave or Mia is a knave.", "Luke cannot be a knight, because this would contradict the claim of Mia that Abigail is a knave and Luke is a knave.", "Assume Luke is a knave. No contradiction is found in their false claim that Abigail is a knave and Luke is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that If Luke is a knight then Abigail is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that Luke is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 3), ('lying', 6)), ('->', ('telling-truth', 6), ('telling-truth', 3)), ('or', ('lying', 3), ('lying', 0)), ('<=>', ('lying', 4), ('telling-truth', 2)), ('<=>', ('telling-truth', 2), ('lying', 6)), ('lying', 6), ('and', ('lying', 3), ('telling-truth', 6)))", "index": 493}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Amelia, Sophia, Lily, Jack, Sofia, Aiden, and Luke. \"Jack is a knight and Sofia is a knave\" - Amelia. Sophia stated, \"If Amelia is a knave then Aiden is a knight\". Lily told you that If Luke is a knave then Jack is a knave. Jack remarked, \"Lily is not a knight\". \"Amelia is a knight or Sophia is a knight,\" Sofia claimed. In Aiden's words: \"Jack is not a knave\". Luke remarked, \"If Lily is a knight then Lily is a knave\". So who is a knight and who is a knave?", "names": ["Amelia", "Sophia", "Lily", "Jack", "Sofia", "Aiden", "Luke"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false, false, false, false], "solution_text": "Amelia is a knave, Sophia is a knave, Lily is a knight, Jack is a knave, Sofia is a knave, Aiden is a knave, and Luke is a knave.", "solution_text_format": "(1) Amelia is a knave\n(2) Sophia is a knave\n(3) Lily is a knight\n(4) Jack is a knave\n(5) Sofia is a knave\n(6) Aiden is a knave\n(7) Luke is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Amelia is a knight. No contradiction is found in their claim that Jack is a knight and Sofia is a knave.", "Assume Jack is a knight. No contradiction is found in their claim that Lily is not a knight.", "Lily cannot be a knight, because this would contradict the claim of Jack that Lily is not a knight.", "Assume Lily is a knave. No contradiction is found in their false claim that If Luke is a knave then Jack is a knave.", "Luke cannot be a knight, because this would contradict the false claim of Lily that If Luke is a knave then Jack is a knave.", "Luke cannot be a knave, because this would contradict the false claim of their own that If Lily is a knight then Lily is a knave.", "We have exhausted all possibilities for Luke and Lily, so let us go back and reconsider Jack.", "Jack cannot be a knave, because this would contradict the claim of Amelia that Jack is a knight and Sofia is a knave.", "We have exhausted all possibilities for Jack, so let us go back and reconsider Amelia.", "Assume Amelia is a knave. No contradiction is found in their false claim that Jack is a knight and Sofia is a knave.", "Assume Jack is a knight. No contradiction is found in their claim that Lily is not a knight.", "Lily cannot be a knight, because this would contradict the claim of Jack that Lily is not a knight.", "Assume Lily is a knave. No contradiction is found in their false claim that If Luke is a knave then Jack is a knave.", "Luke cannot be a knight, because this would contradict the false claim of Lily that If Luke is a knave then Jack is a knave.", "Luke cannot be a knave, because this would contradict the false claim of their own that If Lily is a knight then Lily is a knave.", "We have exhausted all possibilities for Luke and Lily, so let us go back and reconsider Jack.", "Assume Jack is a knave. No contradiction is found in their false claim that Lily is not a knight.", "Assume Lily is a knight. No contradiction is found in their claim that If Luke is a knave then Jack is a knave.", "Luke cannot be a knight, because this would contradict the claim of their own that If Lily is a knight then Lily is a knave.", "Assume Luke is a knave. No contradiction is found in their false claim that If Lily is a knight then Lily is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that Amelia is a knight or Sophia is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that If Amelia is a knave then Aiden is a knight.", "Aiden cannot be a knight, because this would contradict the claim of their own that Jack is not a knave.", "Aiden cannot be a knave, because this would contradict the claim of Sophia that If Amelia is a knave then Aiden is a knight.", "We have exhausted all possibilities for Aiden, so let us go back and reconsider Sophia.", "Sophia cannot be a knave, because this would contradict the claim of Sofia that Amelia is a knight or Sophia is a knight.", "We have exhausted all possibilities for Sophia, so let us go back and reconsider Sofia.", "Assume Sofia is a knave. No contradiction is found in their false claim that Amelia is a knight or Sophia is a knight.", "Sophia cannot be a knight, because this would contradict the false claim of Sofia that Amelia is a knight or Sophia is a knight.", "Assume Sophia is a knave. No contradiction is found in their false claim that If Amelia is a knave then Aiden is a knight.", "Aiden cannot be a knight, because this would contradict the false claim of Sophia that If Amelia is a knave then Aiden is a knight.", "Assume Aiden is a knave. No contradiction is found in their false claim that Jack is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 3), ('lying', 4)), ('->', ('lying', 0), ('telling-truth', 5)), ('->', ('lying', 6), ('lying', 3)), ('not', ('telling-truth', 2)), ('or', ('telling-truth', 0), ('telling-truth', 1)), ('not', ('lying', 3)), ('->', ('telling-truth', 2), ('lying', 2)))", "index": 494}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Amelia, Grace, Harper, Liam, Noah, Isabella, and Zoey. Amelia was heard saying, \"If Harper is a knave then Zoey is a knight\". \"Zoey is a knight if and only if Isabella is a knight\" - Grace. Harper said, \"If Liam is a knave then Grace is a knight.\" Liam said, \"Harper is not a knave.\" Noah noted, \"Zoey is a knight if and only if Zoey is a knave\". Isabella was heard saying, \"Zoey is not a knave\". Zoey remarked, \"Liam is a knight or Noah is a knave\". So who is a knight and who is a knave?", "names": ["Amelia", "Grace", "Harper", "Liam", "Noah", "Isabella", "Zoey"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, false, true, true], "solution_text": "Amelia is a knight, Grace is a knight, Harper is a knight, Liam is a knight, Noah is a knave, Isabella is a knight, and Zoey is a knight.", "solution_text_format": "(1) Amelia is a knight\n(2) Grace is a knight\n(3) Harper is a knight\n(4) Liam is a knight\n(5) Noah is a knave\n(6) Isabella is a knight\n(7) Zoey is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Amelia is a knight. No contradiction is found in their claim that If Harper is a knave then Zoey is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that If Liam is a knave then Grace is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that Harper is not a knave.", "Assume Grace is a knight. No contradiction is found in their claim that Zoey is a knight if and only if Isabella is a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that Liam is a knight or Noah is a knave.", "Noah cannot be a knight, because this would contradict the claim of their own that Zoey is a knight if and only if Zoey is a knave.", "Assume Noah is a knave. No contradiction is found in their false claim that Zoey is a knight if and only if Zoey is a knave.", "Assume Isabella is a knight. No contradiction is found in their claim that Zoey is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 2), ('telling-truth', 6)), ('<=>', ('telling-truth', 6), ('telling-truth', 5)), ('->', ('lying', 3), ('telling-truth', 1)), ('not', ('lying', 2)), ('<=>', ('telling-truth', 6), ('lying', 6)), ('not', ('lying', 6)), ('or', ('telling-truth', 3), ('lying', 4)))", "index": 495}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Abigail, Ella, Aurora, Emily, Emma, Grace, and Henry. \"Emily is a knight if and only if Ella is a knight,\" Abigail claimed. Ella expressed that Emma is not a knave. In Aurora's words: \"Emma is a knight if and only if Emily is a knave\". \"If Henry is a knave then Grace is a knave,\" Emily declared. In Emma's words: \"Henry is not a knave\". According to Grace, \"Emma is a knight or Emily is a knight\". In Henry's words: \"Emily is a knight and Henry is a knight\". So who is a knight and who is a knave?", "names": ["Abigail", "Ella", "Aurora", "Emily", "Emma", "Grace", "Henry"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true, true, true, true], "solution_text": "Abigail is a knight, Ella is a knight, Aurora is a knave, Emily is a knight, Emma is a knight, Grace is a knight, and Henry is a knight.", "solution_text_format": "(1) Abigail is a knight\n(2) Ella is a knight\n(3) Aurora is a knave\n(4) Emily is a knight\n(5) Emma is a knight\n(6) Grace is a knight\n(7) Henry is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Abigail is a knight. No contradiction is found in their claim that Emily is a knight if and only if Ella is a knight.", "Assume Emily is a knight. No contradiction is found in their claim that If Henry is a knave then Grace is a knave.", "Assume Henry is a knight. No contradiction is found in their claim that Emily is a knight and Henry is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that Emma is a knight or Emily is a knight.", "Assume Emma is a knight. No contradiction is found in their claim that Henry is not a knave.", "Assume Ella is a knight. No contradiction is found in their claim that Emma is not a knave.", "Aurora cannot be a knight, because this would contradict the claim of their own that Emma is a knight if and only if Emily is a knave.", "Assume Aurora is a knave. No contradiction is found in their false claim that Emma is a knight if and only if Emily is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 3), ('telling-truth', 1)), ('not', ('lying', 4)), ('<=>', ('telling-truth', 4), ('lying', 3)), ('->', ('lying', 6), ('lying', 5)), ('not', ('lying', 6)), ('or', ('telling-truth', 4), ('telling-truth', 3)), ('and', ('telling-truth', 3), ('telling-truth', 6)))", "index": 496}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: David, Harper, Lily, Elizabeth, James, Evelyn, and Luke. David commented, \"Lily is a knight or Luke is a knight\". In Harper's words: \"David is a knight if and only if Evelyn is a knight\". Lily told you that Evelyn is a knight or David is a knight. According to Elizabeth, \"If Harper is a knave then Lily is a knight\". As James put it, \"Elizabeth is a knave or Harper is a knave\". \"David is not a knight,\" Evelyn mentioned. Luke expressed that Lily is not a knave. So who is a knight and who is a knave?", "names": ["David", "Harper", "Lily", "Elizabeth", "James", "Evelyn", "Luke"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, true, false, true], "solution_text": "David is a knight, Harper is a knave, Lily is a knight, Elizabeth is a knight, James is a knight, Evelyn is a knave, and Luke is a knight.", "solution_text_format": "(1) David is a knight\n(2) Harper is a knave\n(3) Lily is a knight\n(4) Elizabeth is a knight\n(5) James is a knight\n(6) Evelyn is a knave\n(7) Luke is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume David is a knight. No contradiction is found in their claim that Lily is a knight or Luke is a knight.", "Assume Lily is a knight. No contradiction is found in their claim that Evelyn is a knight or David is a knight.", "Evelyn cannot be a knight, because this would contradict the claim of their own that David is not a knight.", "Assume Evelyn is a knave. No contradiction is found in their false claim that David is not a knight.", "Assume Luke is a knight. No contradiction is found in their claim that Lily is not a knave.", "Harper cannot be a knight, because this would contradict the claim of their own that David is a knight if and only if Evelyn is a knight.", "Assume Harper is a knave. No contradiction is found in their false claim that David is a knight if and only if Evelyn is a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that If Harper is a knave then Lily is a knight.", "Assume James is a knight. No contradiction is found in their claim that Elizabeth is a knave or Harper is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 2), ('telling-truth', 6)), ('<=>', ('telling-truth', 0), ('telling-truth', 5)), ('or', ('telling-truth', 5), ('telling-truth', 0)), ('->', ('lying', 1), ('telling-truth', 2)), ('or', ('lying', 3), ('lying', 1)), ('not', ('telling-truth', 0)), ('not', ('lying', 2)))", "index": 497}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Liam, Lucas, Noah, Riley, Zoey, Scarlett, and Sebastian. \"If Lucas is a knave then Zoey is a knight\" - Liam. Lucas was heard saying, \"Sebastian is a knave\". \"Sebastian is not a knight,\" Noah declared. \"Zoey is a knave\" - Riley. According to Zoey, \"Lucas is a knight if and only if Scarlett is a knave\". Scarlett commented, \"If Zoey is a knave then Lucas is a knave\". Sebastian told you that If Noah is a knight then Liam is a knight. So who is a knight and who is a knave?", "names": ["Liam", "Lucas", "Noah", "Riley", "Zoey", "Scarlett", "Sebastian"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false, true, true, true], "solution_text": "Liam is a knight, Lucas is a knave, Noah is a knave, Riley is a knave, Zoey is a knight, Scarlett is a knight, and Sebastian is a knight.", "solution_text_format": "(1) Liam is a knight\n(2) Lucas is a knave\n(3) Noah is a knave\n(4) Riley is a knave\n(5) Zoey is a knight\n(6) Scarlett is a knight\n(7) Sebastian is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Liam is a knight. No contradiction is found in their claim that If Lucas is a knave then Zoey is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that Sebastian is a knave.", "Sebastian cannot be a knight, because this would contradict the claim of Lucas that Sebastian is a knave.", "Sebastian cannot be a knave, because this would contradict the false claim of their own that If Noah is a knight then Liam is a knight.", "We have exhausted all possibilities for Sebastian, so let us go back and reconsider Lucas.", "Assume Lucas is a knave. No contradiction is found in their false claim that Sebastian is a knave.", "Assume Sebastian is a knight. No contradiction is found in their claim that If Noah is a knight then Liam is a knight.", "Noah cannot be a knight, because this would contradict the claim of their own that Sebastian is not a knight.", "Assume Noah is a knave. No contradiction is found in their false claim that Sebastian is not a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that Lucas is a knight if and only if Scarlett is a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that If Zoey is a knave then Lucas is a knave.", "Riley cannot be a knight, because this would contradict the claim of their own that Zoey is a knave.", "Assume Riley is a knave. No contradiction is found in their false claim that Zoey is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 1), ('telling-truth', 4)), ('lying', 6), ('not', ('telling-truth', 6)), ('lying', 4), ('<=>', ('telling-truth', 1), ('lying', 5)), ('->', ('lying', 4), ('lying', 1)), ('->', ('telling-truth', 2), ('telling-truth', 0)))", "index": 498}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: William, Luke, James, Sophia, Daniel, Aurora, and Abigail. In William's words: \"Luke is not a knight\". According to Luke, \"William is a knave if and only if Sophia is a knave\". James asserted: \"Abigail is a knave\". Sophia said, \"James is a knight.\" Daniel said that James is a knave if and only if James is a knight. \"If James is a knight then James is a knave,\" Aurora mentioned. In Abigail's words: \"Sophia is a knight or Luke is a knave\". So who is a knight and who is a knave?", "names": ["William", "Luke", "James", "Sophia", "Daniel", "Aurora", "Abigail"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false, false, true, true], "solution_text": "William is a knight, Luke is a knave, James is a knave, Sophia is a knave, Daniel is a knave, Aurora is a knight, and Abigail is a knight.", "solution_text_format": "(1) William is a knight\n(2) Luke is a knave\n(3) James is a knave\n(4) Sophia is a knave\n(5) Daniel is a knave\n(6) Aurora is a knight\n(7) Abigail is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume William is a knight. No contradiction is found in their claim that Luke is not a knight.", "Luke cannot be a knight, because this would contradict the claim of William that Luke is not a knight.", "Assume Luke is a knave. No contradiction is found in their false claim that William is a knave if and only if Sophia is a knave.", "Sophia cannot be a knight, because this would contradict the false claim of Luke that William is a knave if and only if Sophia is a knave.", "Assume Sophia is a knave. No contradiction is found in their false claim that James is a knight.", "James cannot be a knight, because this would contradict the false claim of Sophia that James is a knight.", "Assume James is a knave. No contradiction is found in their false claim that Abigail is a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that Sophia is a knight or Luke is a knave.", "Daniel cannot be a knight, because this would contradict the claim of their own that James is a knave if and only if James is a knight.", "Assume Daniel is a knave. No contradiction is found in their false claim that James is a knave if and only if James is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that If James is a knight then James is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('<=>', ('lying', 0), ('lying', 3)), ('lying', 6), ('telling-truth', 2), ('<=>', ('lying', 2), ('telling-truth', 2)), ('->', ('telling-truth', 2), ('lying', 2)), ('or', ('telling-truth', 3), ('lying', 1)))", "index": 499}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: William, Jack, Harper, Zoey, Daniel, Avery, and Sophia. William said that Sophia is a knave if and only if Daniel is a knave. Jack commented, \"Sophia is not a knave\". As Harper put it, \"Jack is a knave and Avery is a knave\". Zoey stated, \"Sophia is a knight\". Daniel expressed that Sophia is a knight and Sophia is a knave. Avery noted, \"Zoey is a knight and Daniel is a knight\". As Sophia put it, \"Zoey is a knight if and only if Jack is a knave\". So who is a knight and who is a knave?", "names": ["William", "Jack", "Harper", "Zoey", "Daniel", "Avery", "Sophia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false, false, false, false], "solution_text": "William is a knight, Jack is a knave, Harper is a knight, Zoey is a knave, Daniel is a knave, Avery is a knave, and Sophia is a knave.", "solution_text_format": "(1) William is a knight\n(2) Jack is a knave\n(3) Harper is a knight\n(4) Zoey is a knave\n(5) Daniel is a knave\n(6) Avery is a knave\n(7) Sophia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume William is a knight. No contradiction is found in their claim that Sophia is a knave if and only if Daniel is a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that Zoey is a knight if and only if Jack is a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that Sophia is a knight.", "Jack cannot be a knight, because this would contradict the claim of Sophia that Zoey is a knight if and only if Jack is a knave.", "Jack cannot be a knave, because this would contradict the false claim of their own that Sophia is not a knave.", "We have exhausted all possibilities for Jack, so let us go back and reconsider Zoey.", "Zoey cannot be a knave, because this would contradict the false claim of their own that Sophia is a knight.", "We have exhausted all possibilities for Zoey, so let us go back and reconsider Sophia.", "Assume Sophia is a knave. No contradiction is found in their false claim that Zoey is a knight if and only if Jack is a knave.", "Zoey cannot be a knight, because this would contradict the claim of their own that Sophia is a knight.", "Assume Zoey is a knave. No contradiction is found in their false claim that Sophia is a knight.", "Jack cannot be a knight, because this would contradict the claim of their own that Sophia is not a knave.", "Assume Jack is a knave. No contradiction is found in their false claim that Sophia is not a knave.", "Daniel cannot be a knight, because this would contradict the claim of William that Sophia is a knave if and only if Daniel is a knave.", "Assume Daniel is a knave. No contradiction is found in their false claim that Sophia is a knight and Sophia is a knave.", "Assume Harper is a knight. No contradiction is found in their claim that Jack is a knave and Avery is a knave.", "Avery cannot be a knight, because this would contradict the claim of Harper that Jack is a knave and Avery is a knave.", "Assume Avery is a knave. No contradiction is found in their false claim that Zoey is a knight and Daniel is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 6), ('lying', 4)), ('not', ('lying', 6)), ('and', ('lying', 1), ('lying', 5)), ('telling-truth', 6), ('and', ('telling-truth', 6), ('lying', 6)), ('and', ('telling-truth', 3), ('telling-truth', 4)), ('<=>', ('telling-truth', 3), ('lying', 1)))", "index": 500}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Abigail, Noah, Sophia, Aiden, Avery, Jack, and Luke. Abigail noted, \"Avery is a knight if and only if Luke is a knave\". \"Sophia is a knight and Luke is a knave,\" Noah mentioned. \"If Luke is a knave then Sophia is a knight,\" Sophia declared. Aiden commented, \"Noah is a knight and Aiden is a knight\". Avery remarked, \"Jack is a knight\". In Jack's words: \"Sophia is not a knight\". Luke asserted: \"Avery is a knave if and only if Sophia is a knight\". So who is a knight and who is a knave?", "names": ["Abigail", "Noah", "Sophia", "Aiden", "Avery", "Jack", "Luke"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false, false, false, true], "solution_text": "Abigail is a knight, Noah is a knave, Sophia is a knight, Aiden is a knave, Avery is a knave, Jack is a knave, and Luke is a knight.", "solution_text_format": "(1) Abigail is a knight\n(2) Noah is a knave\n(3) Sophia is a knight\n(4) Aiden is a knave\n(5) Avery is a knave\n(6) Jack is a knave\n(7) Luke is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Abigail is a knight. No contradiction is found in their claim that Avery is a knight if and only if Luke is a knave.", "Assume Avery is a knight. No contradiction is found in their claim that Jack is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that Sophia is not a knight.", "Sophia cannot be a knight, because this would contradict the claim of Jack that Sophia is not a knight.", "Assume Sophia is a knave. No contradiction is found in their false claim that If Luke is a knave then Sophia is a knight.", "Luke cannot be a knight, because this would contradict the claim of Abigail that Avery is a knight if and only if Luke is a knave.", "Luke cannot be a knave, because this would contradict the false claim of their own that Avery is a knave if and only if Sophia is a knight.", "We have exhausted all possibilities for Luke and Sophia, so let us go back and reconsider Jack.", "Jack cannot be a knave, because this would contradict the claim of Avery that Jack is a knight.", "We have exhausted all possibilities for Jack, so let us go back and reconsider Avery.", "Assume Avery is a knave. No contradiction is found in their false claim that Jack is a knight.", "Jack cannot be a knight, because this would contradict the false claim of Avery that Jack is a knight.", "Assume Jack is a knave. No contradiction is found in their false claim that Sophia is not a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that If Luke is a knave then Sophia is a knight.", "Assume Luke is a knight. No contradiction is found in their claim that Avery is a knave if and only if Sophia is a knight.", "Noah cannot be a knight, because this would contradict the claim of their own that Sophia is a knight and Luke is a knave.", "Assume Noah is a knave. No contradiction is found in their false claim that Sophia is a knight and Luke is a knave.", "Aiden cannot be a knight, because this would contradict the claim of their own that Noah is a knight and Aiden is a knight.", "Assume Aiden is a knave. No contradiction is found in their false claim that Noah is a knight and Aiden is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 4), ('lying', 6)), ('and', ('telling-truth', 2), ('lying', 6)), ('->', ('lying', 6), ('telling-truth', 2)), ('and', ('telling-truth', 1), ('telling-truth', 3)), ('telling-truth', 5), ('not', ('telling-truth', 2)), ('<=>', ('lying', 4), ('telling-truth', 2)))", "index": 501}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Lily, Henry, Logan, Ethan, Zoey, Amelia, and Emily. \"If Emily is a knight then Zoey is a knave,\" Lily claimed. Henry told you that Emily is a knave if and only if Logan is a knave. Logan remarked, \"Emily is a knight and Henry is a knight\". Ethan asserted: \"Logan is a knight or Emily is a knight\". Zoey stated, \"Henry is a knight\". According to Amelia, \"Zoey is a knight and Logan is a knave\". Emily told you that Henry is a knight. So who is a knight and who is a knave?", "names": ["Lily", "Henry", "Logan", "Ethan", "Zoey", "Amelia", "Emily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, true, false, true], "solution_text": "Lily is a knave, Henry is a knight, Logan is a knight, Ethan is a knight, Zoey is a knight, Amelia is a knave, and Emily is a knight.", "solution_text_format": "(1) Lily is a knave\n(2) Henry is a knight\n(3) Logan is a knight\n(4) Ethan is a knight\n(5) Zoey is a knight\n(6) Amelia is a knave\n(7) Emily is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Lily is a knight. No contradiction is found in their claim that If Emily is a knight then Zoey is a knave.", "Assume Emily is a knight. No contradiction is found in their claim that Henry is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that Emily is a knave if and only if Logan is a knave.", "Assume Logan is a knight. No contradiction is found in their claim that Emily is a knight and Henry is a knight.", "Zoey cannot be a knight, because this would contradict the claim of Lily that If Emily is a knight then Zoey is a knave.", "Zoey cannot be a knave, because this would contradict the false claim of their own that Henry is a knight.", "We have exhausted all possibilities for Zoey, so let us go back and reconsider Logan.", "Logan cannot be a knave, because this would contradict the claim of Henry that Emily is a knave if and only if Logan is a knave.", "We have exhausted all possibilities for Logan, so let us go back and reconsider Henry.", "Henry cannot be a knave, because this would contradict the claim of Emily that Henry is a knight.", "We have exhausted all possibilities for Henry, so let us go back and reconsider Emily.", "Assume Emily is a knave. No contradiction is found in their false claim that Henry is a knight.", "Henry cannot be a knight, because this would contradict the false claim of Emily that Henry is a knight.", "Assume Henry is a knave. No contradiction is found in their false claim that Emily is a knave if and only if Logan is a knave.", "Logan cannot be a knight, because this would contradict the claim of their own that Emily is a knight and Henry is a knight.", "Logan cannot be a knave, because this would contradict the false claim of Henry that Emily is a knave if and only if Logan is a knave.", "We have exhausted all possibilities for Logan, Henry, and Emily, so let us go back and reconsider Lily.", "Assume Lily is a knave. No contradiction is found in their false claim that If Emily is a knight then Zoey is a knave.", "Assume Emily is a knight. No contradiction is found in their claim that Henry is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that Emily is a knave if and only if Logan is a knave.", "Assume Logan is a knight. No contradiction is found in their claim that Emily is a knight and Henry is a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that Henry is a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that Logan is a knight or Emily is a knight.", "Amelia cannot be a knight, because this would contradict the claim of their own that Zoey is a knight and Logan is a knave.", "Assume Amelia is a knave. No contradiction is found in their false claim that Zoey is a knight and Logan is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 6), ('lying', 4)), ('<=>', ('lying', 6), ('lying', 2)), ('and', ('telling-truth', 6), ('telling-truth', 1)), ('or', ('telling-truth', 2), ('telling-truth', 6)), ('telling-truth', 1), ('and', ('telling-truth', 4), ('lying', 2)), ('telling-truth', 1))", "index": 502}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Lily, Zoey, Sebastian, Samuel, Henry, Luke, and Isabella. Lily was heard saying, \"Zoey is a knave if and only if Henry is a knave\". According to Zoey, \"Sebastian is a knave\". In Sebastian's words: \"Zoey is a knave or Samuel is a knight\". Samuel remarked, \"Zoey is a knight\". \"Sebastian is a knight or Luke is a knave,\" Henry mentioned. Luke said, \"If Henry is a knave then Samuel is a knight.\" In Isabella's words: \"Luke is not a knave\". So who is a knight and who is a knave?", "names": ["Lily", "Zoey", "Sebastian", "Samuel", "Henry", "Luke", "Isabella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false, true, true, true], "solution_text": "Lily is a knave, Zoey is a knave, Sebastian is a knight, Samuel is a knave, Henry is a knight, Luke is a knight, and Isabella is a knight.", "solution_text_format": "(1) Lily is a knave\n(2) Zoey is a knave\n(3) Sebastian is a knight\n(4) Samuel is a knave\n(5) Henry is a knight\n(6) Luke is a knight\n(7) Isabella is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Lily is a knight. No contradiction is found in their claim that Zoey is a knave if and only if Henry is a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that Sebastian is a knave.", "Sebastian cannot be a knight, because this would contradict the claim of Zoey that Sebastian is a knave.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Zoey is a knave or Samuel is a knight.", "Samuel cannot be a knight, because this would contradict the false claim of Sebastian that Zoey is a knave or Samuel is a knight.", "Samuel cannot be a knave, because this would contradict the false claim of their own that Zoey is a knight.", "We have exhausted all possibilities for Samuel and Sebastian, so let us go back and reconsider Zoey.", "Assume Zoey is a knave. No contradiction is found in their false claim that Sebastian is a knave.", "Assume Sebastian is a knight. No contradiction is found in their claim that Zoey is a knave or Samuel is a knight.", "Samuel cannot be a knight, because this would contradict the claim of their own that Zoey is a knight.", "Assume Samuel is a knave. No contradiction is found in their false claim that Zoey is a knight.", "Henry cannot be a knight, because this would contradict the claim of Lily that Zoey is a knave if and only if Henry is a knave.", "Henry cannot be a knave, because this would contradict the false claim of their own that Sebastian is a knight or Luke is a knave.", "We have exhausted all possibilities for Henry and Samuel, so let us go back and reconsider Sebastian.", "Sebastian cannot be a knave, because this would contradict the false claim of Zoey that Sebastian is a knave.", "We have exhausted all possibilities for Sebastian and Zoey, so let us go back and reconsider Lily.", "Assume Lily is a knave. No contradiction is found in their false claim that Zoey is a knave if and only if Henry is a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that Sebastian is a knave.", "Sebastian cannot be a knight, because this would contradict the claim of Zoey that Sebastian is a knave.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Zoey is a knave or Samuel is a knight.", "Samuel cannot be a knight, because this would contradict the false claim of Sebastian that Zoey is a knave or Samuel is a knight.", "Samuel cannot be a knave, because this would contradict the false claim of their own that Zoey is a knight.", "We have exhausted all possibilities for Samuel and Sebastian, so let us go back and reconsider Zoey.", "Assume Zoey is a knave. No contradiction is found in their false claim that Sebastian is a knave.", "Assume Sebastian is a knight. No contradiction is found in their claim that Zoey is a knave or Samuel is a knight.", "Samuel cannot be a knight, because this would contradict the claim of their own that Zoey is a knight.", "Assume Samuel is a knave. No contradiction is found in their false claim that Zoey is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that Sebastian is a knight or Luke is a knave.", "Assume Luke is a knight. No contradiction is found in their claim that If Henry is a knave then Samuel is a knight.", "Assume Isabella is a knight. No contradiction is found in their claim that Luke is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('lying', 4)), ('lying', 2), ('or', ('lying', 1), ('telling-truth', 3)), ('telling-truth', 1), ('or', ('telling-truth', 2), ('lying', 5)), ('->', ('lying', 4), ('telling-truth', 3)), ('not', ('lying', 5)))", "index": 503}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Aria, Victoria, Olivia, Riley, Lily, Owen, and Mia. Aria expressed that Victoria is a knight or Mia is a knave. In a statement by Victoria: \"If Riley is a knight then Owen is a knave\". Olivia was heard saying, \"Lily is a knight and Owen is a knave\". \"Olivia is a knave,\" Riley mentioned. \"Aria is a knight and Owen is a knave,\" Lily declared. Owen was heard saying, \"If Olivia is a knight then Lily is a knight\". \"Olivia is a knave and Riley is a knight,\" Mia declared. So who is a knight and who is a knave?", "names": ["Aria", "Victoria", "Olivia", "Riley", "Lily", "Owen", "Mia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true, false, true, true], "solution_text": "Aria is a knave, Victoria is a knave, Olivia is a knave, Riley is a knight, Lily is a knave, Owen is a knight, and Mia is a knight.", "solution_text_format": "(1) Aria is a knave\n(2) Victoria is a knave\n(3) Olivia is a knave\n(4) Riley is a knight\n(5) Lily is a knave\n(6) Owen is a knight\n(7) Mia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aria is a knight. No contradiction is found in their claim that Victoria is a knight or Mia is a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that If Riley is a knight then Owen is a knave.", "Assume Riley is a knight. No contradiction is found in their claim that Olivia is a knave.", "Olivia cannot be a knight, because this would contradict the claim of Riley that Olivia is a knave.", "Assume Olivia is a knave. No contradiction is found in their false claim that Lily is a knight and Owen is a knave.", "Assume Lily is a knight. No contradiction is found in their claim that Aria is a knight and Owen is a knave.", "Owen cannot be a knight, because this would contradict the claim of Victoria that If Riley is a knight then Owen is a knave.", "Owen cannot be a knave, because this would contradict the false claim of Olivia that Lily is a knight and Owen is a knave.", "We have exhausted all possibilities for Owen, so let us go back and reconsider Lily.", "Assume Lily is a knave. No contradiction is found in their false claim that Aria is a knight and Owen is a knave.", "Owen cannot be a knight, because this would contradict the claim of Victoria that If Riley is a knight then Owen is a knave.", "Owen cannot be a knave, because this would contradict the false claim of Lily that Aria is a knight and Owen is a knave.", "We have exhausted all possibilities for Owen, Lily, and Olivia, so let us go back and reconsider Riley.", "Assume Riley is a knave. No contradiction is found in their false claim that Olivia is a knave.", "Assume Olivia is a knight. No contradiction is found in their claim that Lily is a knight and Owen is a knave.", "Assume Lily is a knight. No contradiction is found in their claim that Aria is a knight and Owen is a knave.", "Owen cannot be a knight, because this would contradict the claim of Olivia that Lily is a knight and Owen is a knave.", "Owen cannot be a knave, because this would contradict the false claim of their own that If Olivia is a knight then Lily is a knight.", "We have exhausted all possibilities for Owen, so let us go back and reconsider Lily.", "Lily cannot be a knave, because this would contradict the claim of Olivia that Lily is a knight and Owen is a knave.", "We have exhausted all possibilities for Lily, so let us go back and reconsider Olivia.", "Olivia cannot be a knave, because this would contradict the false claim of Riley that Olivia is a knave.", "We have exhausted all possibilities for Olivia and Riley, so let us go back and reconsider Victoria.", "Assume Victoria is a knave. No contradiction is found in their false claim that If Riley is a knight then Owen is a knave.", "Assume Riley is a knight. No contradiction is found in their claim that Olivia is a knave.", "Olivia cannot be a knight, because this would contradict the claim of Riley that Olivia is a knave.", "Assume Olivia is a knave. No contradiction is found in their false claim that Lily is a knight and Owen is a knave.", "Assume Lily is a knight. No contradiction is found in their claim that Aria is a knight and Owen is a knave.", "Owen cannot be a knight, because this would contradict the claim of Lily that Aria is a knight and Owen is a knave.", "Owen cannot be a knave, because this would contradict the false claim of Victoria that If Riley is a knight then Owen is a knave.", "We have exhausted all possibilities for Owen, so let us go back and reconsider Lily.", "Assume Lily is a knave. No contradiction is found in their false claim that Aria is a knight and Owen is a knave.", "Assume Owen is a knight. No contradiction is found in their claim that If Olivia is a knight then Lily is a knight.", "Mia cannot be a knight, because this would contradict the claim of Aria that Victoria is a knight or Mia is a knave.", "Mia cannot be a knave, because this would contradict the false claim of their own that Olivia is a knave and Riley is a knight.", "We have exhausted all possibilities for Mia, so let us go back and reconsider Owen.", "Owen cannot be a knave, because this would contradict the false claim of Victoria that If Riley is a knight then Owen is a knave.", "We have exhausted all possibilities for Owen, Lily, and Olivia, so let us go back and reconsider Riley.", "Riley cannot be a knave, because this would contradict the false claim of Victoria that If Riley is a knight then Owen is a knave.", "We have exhausted all possibilities for Riley and Victoria, so let us go back and reconsider Aria.", "Assume Aria is a knave. No contradiction is found in their false claim that Victoria is a knight or Mia is a knave.", "Victoria cannot be a knight, because this would contradict the false claim of Aria that Victoria is a knight or Mia is a knave.", "Assume Victoria is a knave. No contradiction is found in their false claim that If Riley is a knight then Owen is a knave.", "Assume Riley is a knight. No contradiction is found in their claim that Olivia is a knave.", "Olivia cannot be a knight, because this would contradict the claim of Riley that Olivia is a knave.", "Assume Olivia is a knave. No contradiction is found in their false claim that Lily is a knight and Owen is a knave.", "Lily cannot be a knight, because this would contradict the claim of their own that Aria is a knight and Owen is a knave.", "Assume Lily is a knave. No contradiction is found in their false claim that Aria is a knight and Owen is a knave.", "Assume Owen is a knight. No contradiction is found in their claim that If Olivia is a knight then Lily is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that Olivia is a knave and Riley is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 1), ('lying', 6)), ('->', ('telling-truth', 3), ('lying', 5)), ('and', ('telling-truth', 4), ('lying', 5)), ('lying', 2), ('and', ('telling-truth', 0), ('lying', 5)), ('->', ('telling-truth', 2), ('telling-truth', 4)), ('and', ('lying', 2), ('telling-truth', 3)))", "index": 504}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Ava, Jackson, Sofia, Logan, Samuel, Michael, and Henry. Ava stated, \"Michael is a knight\". Jackson asserted: \"Ava is a knight and Michael is a knight\". Sofia asserted: \"Logan is a knight or Jackson is a knave\". \"Sofia is not a knight,\" Logan claimed. \"Sofia is a knight or Logan is a knight\" - Samuel. Michael stated, \"Jackson is a knight and Logan is a knave\". Henry said, \"Ava is a knave if and only if Michael is a knave.\" So who is a knight and who is a knave?", "names": ["Ava", "Jackson", "Sofia", "Logan", "Samuel", "Michael", "Henry"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false, true, false, true], "solution_text": "Ava is a knave, Jackson is a knave, Sofia is a knight, Logan is a knave, Samuel is a knight, Michael is a knave, and Henry is a knight.", "solution_text_format": "(1) Ava is a knave\n(2) Jackson is a knave\n(3) Sofia is a knight\n(4) Logan is a knave\n(5) Samuel is a knight\n(6) Michael is a knave\n(7) Henry is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ava is a knight. No contradiction is found in their claim that Michael is a knight.", "Assume Michael is a knight. No contradiction is found in their claim that Jackson is a knight and Logan is a knave.", "Assume Jackson is a knight. No contradiction is found in their claim that Ava is a knight and Michael is a knight.", "Logan cannot be a knight, because this would contradict the claim of Michael that Jackson is a knight and Logan is a knave.", "Assume Logan is a knave. No contradiction is found in their false claim that Sofia is not a knight.", "Sofia cannot be a knight, because this would contradict the claim of their own that Logan is a knight or Jackson is a knave.", "Sofia cannot be a knave, because this would contradict the false claim of Logan that Sofia is not a knight.", "We have exhausted all possibilities for Sofia and Logan, so let us go back and reconsider Jackson.", "Jackson cannot be a knave, because this would contradict the false claim of their own that Ava is a knight and Michael is a knight.", "We have exhausted all possibilities for Jackson, so let us go back and reconsider Michael.", "Michael cannot be a knave, because this would contradict the claim of Ava that Michael is a knight.", "We have exhausted all possibilities for Michael, so let us go back and reconsider Ava.", "Assume Ava is a knave. No contradiction is found in their false claim that Michael is a knight.", "Michael cannot be a knight, because this would contradict the false claim of Ava that Michael is a knight.", "Assume Michael is a knave. No contradiction is found in their false claim that Jackson is a knight and Logan is a knave.", "Jackson cannot be a knight, because this would contradict the claim of their own that Ava is a knight and Michael is a knight.", "Assume Jackson is a knave. No contradiction is found in their false claim that Ava is a knight and Michael is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that Sofia is not a knight.", "Sofia cannot be a knight, because this would contradict the claim of Logan that Sofia is not a knight.", "Sofia cannot be a knave, because this would contradict the false claim of their own that Logan is a knight or Jackson is a knave.", "We have exhausted all possibilities for Sofia, so let us go back and reconsider Logan.", "Assume Logan is a knave. No contradiction is found in their false claim that Sofia is not a knight.", "Assume Sofia is a knight. No contradiction is found in their claim that Logan is a knight or Jackson is a knave.", "Assume Samuel is a knight. No contradiction is found in their claim that Sofia is a knight or Logan is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that Ava is a knave if and only if Michael is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 5), ('and', ('telling-truth', 0), ('telling-truth', 5)), ('or', ('telling-truth', 3), ('lying', 1)), ('not', ('telling-truth', 2)), ('or', ('telling-truth', 2), ('telling-truth', 3)), ('and', ('telling-truth', 1), ('lying', 3)), ('<=>', ('lying', 0), ('lying', 5)))", "index": 505}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Michael, Zoey, Sophia, Samuel, Evelyn, Henry, and Owen. Michael said that If Henry is a knight then Zoey is a knave. Zoey said that Michael is not a knave. \"Samuel is not a knight,\" Sophia mentioned. \"If Owen is a knight then Michael is a knave\" - Samuel. Evelyn was heard saying, \"Sophia is a knave and Owen is a knave\". Henry asserted: \"If Michael is a knight then Owen is a knave\". Owen stated, \"If Zoey is a knave then Evelyn is a knight\". So who is a knight and who is a knave?", "names": ["Michael", "Zoey", "Sophia", "Samuel", "Evelyn", "Henry", "Owen"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false, false, false, true], "solution_text": "Michael is a knight, Zoey is a knight, Sophia is a knight, Samuel is a knave, Evelyn is a knave, Henry is a knave, and Owen is a knight.", "solution_text_format": "(1) Michael is a knight\n(2) Zoey is a knight\n(3) Sophia is a knight\n(4) Samuel is a knave\n(5) Evelyn is a knave\n(6) Henry is a knave\n(7) Owen is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Michael is a knight. No contradiction is found in their claim that If Henry is a knight then Zoey is a knave.", "Assume Henry is a knight. No contradiction is found in their claim that If Michael is a knight then Owen is a knave.", "Owen cannot be a knight, because this would contradict the claim of Henry that If Michael is a knight then Owen is a knave.", "Assume Owen is a knave. No contradiction is found in their false claim that If Zoey is a knave then Evelyn is a knight.", "Zoey cannot be a knight, because this would contradict the claim of Michael that If Henry is a knight then Zoey is a knave.", "Zoey cannot be a knave, because this would contradict the false claim of their own that Michael is not a knave.", "We have exhausted all possibilities for Zoey and Owen, so let us go back and reconsider Henry.", "Assume Henry is a knave. No contradiction is found in their false claim that If Michael is a knight then Owen is a knave.", "Assume Owen is a knight. No contradiction is found in their claim that If Zoey is a knave then Evelyn is a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that Michael is not a knave.", "Evelyn cannot be a knight, because this would contradict the claim of their own that Sophia is a knave and Owen is a knave.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Sophia is a knave and Owen is a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that Samuel is not a knight.", "Samuel cannot be a knight, because this would contradict the claim of Sophia that Samuel is not a knight.", "Assume Samuel is a knave. No contradiction is found in their false claim that If Owen is a knight then Michael is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 5), ('lying', 1)), ('not', ('lying', 0)), ('not', ('telling-truth', 3)), ('->', ('telling-truth', 6), ('lying', 0)), ('and', ('lying', 2), ('lying', 6)), ('->', ('telling-truth', 0), ('lying', 6)), ('->', ('lying', 1), ('telling-truth', 4)))", "index": 506}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Lucas, Liam, Grace, Harper, Luke, Sofia, and Penelope. \"Harper is a knave and Luke is a knight,\" Lucas mentioned. \"Penelope is a knight if and only if Harper is a knave,\" Liam claimed. Grace told you that If Luke is a knight then Grace is a knight. Harper stated, \"Grace is a knave\". Luke told you that Penelope is not a knave. Sofia noted, \"Liam is not a knight\". Penelope remarked, \"Lucas is not a knight\". So who is a knight and who is a knave?", "names": ["Lucas", "Liam", "Grace", "Harper", "Luke", "Sofia", "Penelope"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true, true, true, true], "solution_text": "Lucas is a knave, Liam is a knave, Grace is a knave, Harper is a knight, Luke is a knight, Sofia is a knight, and Penelope is a knight.", "solution_text_format": "(1) Lucas is a knave\n(2) Liam is a knave\n(3) Grace is a knave\n(4) Harper is a knight\n(5) Luke is a knight\n(6) Sofia is a knight\n(7) Penelope is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Lucas is a knight. No contradiction is found in their claim that Harper is a knave and Luke is a knight.", "Harper cannot be a knight, because this would contradict the claim of Lucas that Harper is a knave and Luke is a knight.", "Assume Harper is a knave. No contradiction is found in their false claim that Grace is a knave.", "Assume Grace is a knight. No contradiction is found in their claim that If Luke is a knight then Grace is a knight.", "Assume Luke is a knight. No contradiction is found in their claim that Penelope is not a knave.", "Penelope cannot be a knight, because this would contradict the claim of their own that Lucas is not a knight.", "Penelope cannot be a knave, because this would contradict the claim of Luke that Penelope is not a knave.", "We have exhausted all possibilities for Penelope, so let us go back and reconsider Luke.", "Luke cannot be a knave, because this would contradict the claim of Lucas that Harper is a knave and Luke is a knight.", "We have exhausted all possibilities for Luke, so let us go back and reconsider Grace.", "Grace cannot be a knave, because this would contradict the false claim of Harper that Grace is a knave.", "We have exhausted all possibilities for Grace and Harper, so let us go back and reconsider Lucas.", "Assume Lucas is a knave. No contradiction is found in their false claim that Harper is a knave and Luke is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that Grace is a knave.", "Grace cannot be a knight, because this would contradict the claim of Harper that Grace is a knave.", "Assume Grace is a knave. No contradiction is found in their false claim that If Luke is a knight then Grace is a knight.", "Assume Luke is a knight. No contradiction is found in their claim that Penelope is not a knave.", "Assume Penelope is a knight. No contradiction is found in their claim that Lucas is not a knight.", "Liam cannot be a knight, because this would contradict the claim of their own that Penelope is a knight if and only if Harper is a knave.", "Assume Liam is a knave. No contradiction is found in their false claim that Penelope is a knight if and only if Harper is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that Liam is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 3), ('telling-truth', 4)), ('<=>', ('telling-truth', 6), ('lying', 3)), ('->', ('telling-truth', 4), ('telling-truth', 2)), ('lying', 2), ('not', ('lying', 6)), ('not', ('telling-truth', 1)), ('not', ('telling-truth', 0)))", "index": 507}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Harper, Aurora, Jacob, Chloe, Riley, Avery, and Zoey. Harper told you that Aurora is a knave if and only if Jacob is a knave. Aurora commented, \"Jacob is a knight or Zoey is a knight\". Jacob said, \"Avery is a knight and Riley is a knight.\" According to Chloe, \"Riley is a knave or Avery is a knave\". Riley was heard saying, \"Zoey is a knight if and only if Avery is a knave\". In a statement by Avery: \"Zoey is a knave and Jacob is a knight\". Zoey commented, \"Avery is a knight\". So who is a knight and who is a knave?", "names": ["Harper", "Aurora", "Jacob", "Chloe", "Riley", "Avery", "Zoey"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, false, false, false], "solution_text": "Harper is a knight, Aurora is a knave, Jacob is a knave, Chloe is a knight, Riley is a knave, Avery is a knave, and Zoey is a knave.", "solution_text_format": "(1) Harper is a knight\n(2) Aurora is a knave\n(3) Jacob is a knave\n(4) Chloe is a knight\n(5) Riley is a knave\n(6) Avery is a knave\n(7) Zoey is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Harper is a knight. No contradiction is found in their claim that Aurora is a knave if and only if Jacob is a knave.", "Assume Aurora is a knight. No contradiction is found in their claim that Jacob is a knight or Zoey is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that Avery is a knight and Riley is a knight.", "Assume Avery is a knight. No contradiction is found in their claim that Zoey is a knave and Jacob is a knight.", "Zoey cannot be a knight, because this would contradict the claim of Avery that Zoey is a knave and Jacob is a knight.", "Zoey cannot be a knave, because this would contradict the false claim of their own that Avery is a knight.", "We have exhausted all possibilities for Zoey, so let us go back and reconsider Avery.", "Avery cannot be a knave, because this would contradict the claim of Jacob that Avery is a knight and Riley is a knight.", "We have exhausted all possibilities for Avery, so let us go back and reconsider Jacob.", "Jacob cannot be a knave, because this would contradict the claim of Harper that Aurora is a knave if and only if Jacob is a knave.", "We have exhausted all possibilities for Jacob, so let us go back and reconsider Aurora.", "Assume Aurora is a knave. No contradiction is found in their false claim that Jacob is a knight or Zoey is a knight.", "Jacob cannot be a knight, because this would contradict the claim of Harper that Aurora is a knave if and only if Jacob is a knave.", "Assume Jacob is a knave. No contradiction is found in their false claim that Avery is a knight and Riley is a knight.", "Avery cannot be a knight, because this would contradict the claim of their own that Zoey is a knave and Jacob is a knight.", "Assume Avery is a knave. No contradiction is found in their false claim that Zoey is a knave and Jacob is a knight.", "Zoey cannot be a knight, because this would contradict the false claim of Aurora that Jacob is a knight or Zoey is a knight.", "Assume Zoey is a knave. No contradiction is found in their false claim that Avery is a knight.", "Riley cannot be a knight, because this would contradict the claim of their own that Zoey is a knight if and only if Avery is a knave.", "Assume Riley is a knave. No contradiction is found in their false claim that Zoey is a knight if and only if Avery is a knave.", "Assume Chloe is a knight. No contradiction is found in their claim that Riley is a knave or Avery is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('lying', 2)), ('or', ('telling-truth', 2), ('telling-truth', 6)), ('and', ('telling-truth', 5), ('telling-truth', 4)), ('or', ('lying', 4), ('lying', 5)), ('<=>', ('telling-truth', 6), ('lying', 5)), ('and', ('lying', 6), ('telling-truth', 2)), ('telling-truth', 5))", "index": 508}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Henry, Alexander, Grace, Logan, Owen, Evelyn, and Benjamin. Henry was heard saying, \"Grace is a knave and Henry is a knight\". In a statement by Alexander: \"If Benjamin is a knave then Owen is a knave\". Grace was heard saying, \"Henry is a knave if and only if Owen is a knave\". Logan told you that Benjamin is a knight if and only if Owen is a knight. \"Alexander is a knight and Evelyn is a knave,\" Owen claimed. In a statement by Evelyn: \"Grace is not a knight\". \"If Henry is a knave then Alexander is a knave\" - Benjamin. So who is a knight and who is a knave?", "names": ["Henry", "Alexander", "Grace", "Logan", "Owen", "Evelyn", "Benjamin"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false, false, true, true], "solution_text": "Henry is a knight, Alexander is a knight, Grace is a knave, Logan is a knave, Owen is a knave, Evelyn is a knight, and Benjamin is a knight.", "solution_text_format": "(1) Henry is a knight\n(2) Alexander is a knight\n(3) Grace is a knave\n(4) Logan is a knave\n(5) Owen is a knave\n(6) Evelyn is a knight\n(7) Benjamin is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Henry is a knight. No contradiction is found in their claim that Grace is a knave and Henry is a knight.", "Grace cannot be a knight, because this would contradict the claim of Henry that Grace is a knave and Henry is a knight.", "Assume Grace is a knave. No contradiction is found in their false claim that Henry is a knave if and only if Owen is a knave.", "Owen cannot be a knight, because this would contradict the false claim of Grace that Henry is a knave if and only if Owen is a knave.", "Assume Owen is a knave. No contradiction is found in their false claim that Alexander is a knight and Evelyn is a knave.", "Assume Alexander is a knight. No contradiction is found in their claim that If Benjamin is a knave then Owen is a knave.", "Assume Benjamin is a knight. No contradiction is found in their claim that If Henry is a knave then Alexander is a knave.", "Assume Evelyn is a knight. No contradiction is found in their claim that Grace is not a knight.", "Logan cannot be a knight, because this would contradict the claim of their own that Benjamin is a knight if and only if Owen is a knight.", "Assume Logan is a knave. No contradiction is found in their false claim that Benjamin is a knight if and only if Owen is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('telling-truth', 0)), ('->', ('lying', 6), ('lying', 4)), ('<=>', ('lying', 0), ('lying', 4)), ('<=>', ('telling-truth', 6), ('telling-truth', 4)), ('and', ('telling-truth', 1), ('lying', 5)), ('not', ('telling-truth', 2)), ('->', ('lying', 0), ('lying', 1)))", "index": 509}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Ethan, Abigail, Aria, Amelia, William, Joseph, and Olivia. Ethan remarked, \"Abigail is a knave or Amelia is a knight\". As Abigail put it, \"Abigail is a knight if and only if Joseph is a knave\". Aria commented, \"Abigail is a knave and Ethan is a knight\". Amelia asserted: \"Abigail is a knave if and only if Amelia is a knight\". According to William, \"If Amelia is a knight then Aria is a knight\". According to Joseph, \"Amelia is not a knight\". According to Olivia, \"If Amelia is a knave then Ethan is a knight\". So who is a knight and who is a knave?", "names": ["Ethan", "Abigail", "Aria", "Amelia", "William", "Joseph", "Olivia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, true, false, true], "solution_text": "Ethan is a knight, Abigail is a knave, Aria is a knight, Amelia is a knight, William is a knight, Joseph is a knave, and Olivia is a knight.", "solution_text_format": "(1) Ethan is a knight\n(2) Abigail is a knave\n(3) Aria is a knight\n(4) Amelia is a knight\n(5) William is a knight\n(6) Joseph is a knave\n(7) Olivia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ethan is a knight. No contradiction is found in their claim that Abigail is a knave or Amelia is a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that Abigail is a knight if and only if Joseph is a knave.", "Joseph cannot be a knight, because this would contradict the claim of Abigail that Abigail is a knight if and only if Joseph is a knave.", "Assume Joseph is a knave. No contradiction is found in their false claim that Amelia is not a knight.", "Amelia cannot be a knight, because this would contradict the claim of their own that Abigail is a knave if and only if Amelia is a knight.", "Amelia cannot be a knave, because this would contradict the claim of Ethan that Abigail is a knave or Amelia is a knight.", "We have exhausted all possibilities for Amelia and Joseph, so let us go back and reconsider Abigail.", "Assume Abigail is a knave. No contradiction is found in their false claim that Abigail is a knight if and only if Joseph is a knave.", "Joseph cannot be a knight, because this would contradict the false claim of Abigail that Abigail is a knight if and only if Joseph is a knave.", "Assume Joseph is a knave. No contradiction is found in their false claim that Amelia is not a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that Abigail is a knave if and only if Amelia is a knight.", "Assume Aria is a knight. No contradiction is found in their claim that Abigail is a knave and Ethan is a knight.", "Assume William is a knight. No contradiction is found in their claim that If Amelia is a knight then Aria is a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that If Amelia is a knave then Ethan is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('telling-truth', 3)), ('<=>', ('telling-truth', 1), ('lying', 5)), ('and', ('lying', 1), ('telling-truth', 0)), ('<=>', ('lying', 1), ('telling-truth', 3)), ('->', ('telling-truth', 3), ('telling-truth', 2)), ('not', ('telling-truth', 3)), ('->', ('lying', 3), ('telling-truth', 0)))", "index": 510}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Aurora, Sebastian, Zoey, Oliver, Matthew, Noah, and Ava. \"Zoey is a knave and Oliver is a knight\" - Aurora. As Sebastian put it, \"If Noah is a knave then Oliver is a knave\". Zoey said that Aurora is a knave if and only if Zoey is a knight. Oliver said that Noah is a knight or Sebastian is a knave. Matthew stated, \"If Noah is a knight then Ava is a knave\". In a statement by Noah: \"If Aurora is a knave then Zoey is a knight\". Ava was heard saying, \"Matthew is a knight\". So who is a knight and who is a knave?", "names": ["Aurora", "Sebastian", "Zoey", "Oliver", "Matthew", "Noah", "Ava"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false, true, false, true], "solution_text": "Aurora is a knave, Sebastian is a knight, Zoey is a knave, Oliver is a knave, Matthew is a knight, Noah is a knave, and Ava is a knight.", "solution_text_format": "(1) Aurora is a knave\n(2) Sebastian is a knight\n(3) Zoey is a knave\n(4) Oliver is a knave\n(5) Matthew is a knight\n(6) Noah is a knave\n(7) Ava is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aurora is a knight. No contradiction is found in their claim that Zoey is a knave and Oliver is a knight.", "Zoey cannot be a knight, because this would contradict the claim of Aurora that Zoey is a knave and Oliver is a knight.", "Zoey cannot be a knave, because this would contradict the false claim of their own that Aurora is a knave if and only if Zoey is a knight.", "We have exhausted all possibilities for Zoey, so let us go back and reconsider Aurora.", "Assume Aurora is a knave. No contradiction is found in their false claim that Zoey is a knave and Oliver is a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that Aurora is a knave if and only if Zoey is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that Noah is a knight or Sebastian is a knave.", "Assume Noah is a knight. No contradiction is found in their claim that If Aurora is a knave then Zoey is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that If Noah is a knave then Oliver is a knave.", "Assume Matthew is a knight. No contradiction is found in their claim that If Noah is a knight then Ava is a knave.", "Ava cannot be a knight, because this would contradict the claim of Matthew that If Noah is a knight then Ava is a knave.", "Ava cannot be a knave, because this would contradict the false claim of their own that Matthew is a knight.", "We have exhausted all possibilities for Ava, so let us go back and reconsider Matthew.", "Assume Matthew is a knave. No contradiction is found in their false claim that If Noah is a knight then Ava is a knave.", "Ava cannot be a knight, because this would contradict the claim of their own that Matthew is a knight.", "Ava cannot be a knave, because this would contradict the false claim of Matthew that If Noah is a knight then Ava is a knave.", "We have exhausted all possibilities for Ava and Matthew, so let us go back and reconsider Sebastian.", "Sebastian cannot be a knave, because this would contradict the false claim of their own that If Noah is a knave then Oliver is a knave.", "We have exhausted all possibilities for Sebastian, so let us go back and reconsider Noah.", "Noah cannot be a knave, because this would contradict the false claim of their own that If Aurora is a knave then Zoey is a knight.", "We have exhausted all possibilities for Noah, so let us go back and reconsider Oliver.", "Assume Oliver is a knave. No contradiction is found in their false claim that Noah is a knight or Sebastian is a knave.", "Noah cannot be a knight, because this would contradict the false claim of Oliver that Noah is a knight or Sebastian is a knave.", "Noah cannot be a knave, because this would contradict the false claim of their own that If Aurora is a knave then Zoey is a knight.", "We have exhausted all possibilities for Noah and Oliver, so let us go back and reconsider Zoey.", "Assume Zoey is a knave. No contradiction is found in their false claim that Aurora is a knave if and only if Zoey is a knight.", "Oliver cannot be a knight, because this would contradict the false claim of Aurora that Zoey is a knave and Oliver is a knight.", "Assume Oliver is a knave. No contradiction is found in their false claim that Noah is a knight or Sebastian is a knave.", "Noah cannot be a knight, because this would contradict the false claim of Oliver that Noah is a knight or Sebastian is a knave.", "Assume Noah is a knave. No contradiction is found in their false claim that If Aurora is a knave then Zoey is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that If Noah is a knave then Oliver is a knave.", "Assume Matthew is a knight. No contradiction is found in their claim that If Noah is a knight then Ava is a knave.", "Assume Ava is a knight. No contradiction is found in their claim that Matthew is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('telling-truth', 3)), ('->', ('lying', 5), ('lying', 3)), ('<=>', ('lying', 0), ('telling-truth', 2)), ('or', ('telling-truth', 5), ('lying', 1)), ('->', ('telling-truth', 5), ('lying', 6)), ('->', ('lying', 0), ('telling-truth', 2)), ('telling-truth', 4))", "index": 511}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Aria, Mason, Grace, Penelope, Lucas, Aiden, and Emma. Aria stated, \"Emma is a knight\". In a statement by Mason: \"Emma is a knave or Penelope is a knight\". Grace expressed that Aria is a knight or Mason is a knave. \"Emma is a knight and Aiden is a knight,\" Penelope claimed. Lucas commented, \"Aiden is a knave if and only if Mason is a knave\". According to Aiden, \"Penelope is a knight or Aria is a knave\". Emma said that Penelope is a knave and Penelope is a knight. So who is a knight and who is a knave?", "names": ["Aria", "Mason", "Grace", "Penelope", "Lucas", "Aiden", "Emma"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false, true, true, false], "solution_text": "Aria is a knave, Mason is a knight, Grace is a knave, Penelope is a knave, Lucas is a knight, Aiden is a knight, and Emma is a knave.", "solution_text_format": "(1) Aria is a knave\n(2) Mason is a knight\n(3) Grace is a knave\n(4) Penelope is a knave\n(5) Lucas is a knight\n(6) Aiden is a knight\n(7) Emma is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aria is a knight. No contradiction is found in their claim that Emma is a knight.", "Emma cannot be a knight, because this would contradict the claim of their own that Penelope is a knave and Penelope is a knight.", "Emma cannot be a knave, because this would contradict the claim of Aria that Emma is a knight.", "We have exhausted all possibilities for Emma, so let us go back and reconsider Aria.", "Assume Aria is a knave. No contradiction is found in their false claim that Emma is a knight.", "Emma cannot be a knight, because this would contradict the false claim of Aria that Emma is a knight.", "Assume Emma is a knave. No contradiction is found in their false claim that Penelope is a knave and Penelope is a knight.", "Penelope cannot be a knight, because this would contradict the claim of their own that Emma is a knight and Aiden is a knight.", "Assume Penelope is a knave. No contradiction is found in their false claim that Emma is a knight and Aiden is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that Penelope is a knight or Aria is a knave.", "Assume Mason is a knight. No contradiction is found in their claim that Emma is a knave or Penelope is a knight.", "Grace cannot be a knight, because this would contradict the claim of their own that Aria is a knight or Mason is a knave.", "Assume Grace is a knave. No contradiction is found in their false claim that Aria is a knight or Mason is a knave.", "Assume Lucas is a knight. No contradiction is found in their claim that Aiden is a knave if and only if Mason is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 6), ('or', ('lying', 6), ('telling-truth', 3)), ('or', ('telling-truth', 0), ('lying', 1)), ('and', ('telling-truth', 6), ('telling-truth', 5)), ('<=>', ('lying', 5), ('lying', 1)), ('or', ('telling-truth', 3), ('lying', 0)), ('and', ('lying', 3), ('telling-truth', 3)))", "index": 512}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Jackson, Evelyn, Aurora, Sebastian, Riley, Noah, and Aria. Jackson told you that Aria is a knight if and only if Aurora is a knave. \"If Jackson is a knight then Noah is a knight,\" Evelyn mentioned. As Aurora put it, \"Sebastian is a knight or Aria is a knave\". Sebastian expressed that Aurora is a knave or Noah is a knave. Riley was heard saying, \"Noah is not a knave\". \"Evelyn is not a knight,\" Noah claimed. \"Aurora is a knight or Aria is a knight\" - Aria. So who is a knight and who is a knave?", "names": ["Jackson", "Evelyn", "Aurora", "Sebastian", "Riley", "Noah", "Aria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, false, false, true], "solution_text": "Jackson is a knave, Evelyn is a knight, Aurora is a knight, Sebastian is a knight, Riley is a knave, Noah is a knave, and Aria is a knight.", "solution_text_format": "(1) Jackson is a knave\n(2) Evelyn is a knight\n(3) Aurora is a knight\n(4) Sebastian is a knight\n(5) Riley is a knave\n(6) Noah is a knave\n(7) Aria is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jackson is a knight. No contradiction is found in their claim that Aria is a knight if and only if Aurora is a knave.", "Assume Aria is a knight. No contradiction is found in their claim that Aurora is a knight or Aria is a knight.", "Aurora cannot be a knight, because this would contradict the claim of Jackson that Aria is a knight if and only if Aurora is a knave.", "Assume Aurora is a knave. No contradiction is found in their false claim that Sebastian is a knight or Aria is a knave.", "Sebastian cannot be a knight, because this would contradict the false claim of Aurora that Sebastian is a knight or Aria is a knave.", "Sebastian cannot be a knave, because this would contradict the false claim of their own that Aurora is a knave or Noah is a knave.", "We have exhausted all possibilities for Sebastian and Aurora, so let us go back and reconsider Aria.", "Assume Aria is a knave. No contradiction is found in their false claim that Aurora is a knight or Aria is a knight.", "Aurora cannot be a knight, because this would contradict the false claim of Aria that Aurora is a knight or Aria is a knight.", "Aurora cannot be a knave, because this would contradict the claim of Jackson that Aria is a knight if and only if Aurora is a knave.", "We have exhausted all possibilities for Aurora and Aria, so let us go back and reconsider Jackson.", "Assume Jackson is a knave. No contradiction is found in their false claim that Aria is a knight if and only if Aurora is a knave.", "Assume Aria is a knight. No contradiction is found in their claim that Aurora is a knight or Aria is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that Sebastian is a knight or Aria is a knave.", "Assume Sebastian is a knight. No contradiction is found in their claim that Aurora is a knave or Noah is a knave.", "Noah cannot be a knight, because this would contradict the claim of Sebastian that Aurora is a knave or Noah is a knave.", "Assume Noah is a knave. No contradiction is found in their false claim that Evelyn is not a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that If Jackson is a knight then Noah is a knight.", "Riley cannot be a knight, because this would contradict the claim of their own that Noah is not a knave.", "Assume Riley is a knave. No contradiction is found in their false claim that Noah is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 6), ('lying', 2)), ('->', ('telling-truth', 0), ('telling-truth', 5)), ('or', ('telling-truth', 3), ('lying', 6)), ('or', ('lying', 2), ('lying', 5)), ('not', ('lying', 5)), ('not', ('telling-truth', 1)), ('or', ('telling-truth', 2), ('telling-truth', 6)))", "index": 513}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Scarlett, Aurora, James, Logan, Benjamin, Jackson, and Noah. Scarlett asserted: \"If Noah is a knight then Logan is a knave\". Aurora expressed that Scarlett is a knave. James expressed that Logan is a knight. Logan commented, \"Noah is a knave if and only if Benjamin is a knight\". Benjamin stated, \"Logan is not a knight\". Jackson asserted: \"Logan is not a knight\". Noah asserted: \"Noah is a knight if and only if Benjamin is a knight\". So who is a knight and who is a knave?", "names": ["Scarlett", "Aurora", "James", "Logan", "Benjamin", "Jackson", "Noah"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false, true, true, true], "solution_text": "Scarlett is a knight, Aurora is a knave, James is a knave, Logan is a knave, Benjamin is a knight, Jackson is a knight, and Noah is a knight.", "solution_text_format": "(1) Scarlett is a knight\n(2) Aurora is a knave\n(3) James is a knave\n(4) Logan is a knave\n(5) Benjamin is a knight\n(6) Jackson is a knight\n(7) Noah is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Scarlett is a knight. No contradiction is found in their claim that If Noah is a knight then Logan is a knave.", "Assume Noah is a knight. No contradiction is found in their claim that Noah is a knight if and only if Benjamin is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that Logan is not a knight.", "Logan cannot be a knight, because this would contradict the claim of Scarlett that If Noah is a knight then Logan is a knave.", "Assume Logan is a knave. No contradiction is found in their false claim that Noah is a knave if and only if Benjamin is a knight.", "Aurora cannot be a knight, because this would contradict the claim of their own that Scarlett is a knave.", "Assume Aurora is a knave. No contradiction is found in their false claim that Scarlett is a knave.", "James cannot be a knight, because this would contradict the claim of their own that Logan is a knight.", "Assume James is a knave. No contradiction is found in their false claim that Logan is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that Logan is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 6), ('lying', 3)), ('lying', 0), ('telling-truth', 3), ('<=>', ('lying', 6), ('telling-truth', 4)), ('not', ('telling-truth', 3)), ('not', ('telling-truth', 3)), ('<=>', ('telling-truth', 6), ('telling-truth', 4)))", "index": 514}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Sophia, Olivia, Amelia, Owen, Michael, William, and Lucas. Sophia remarked, \"Owen is not a knave\". Olivia told you that William is a knave or Sophia is a knight. Amelia said that Owen is a knight and Sophia is a knight. \"Olivia is a knight or Lucas is a knave,\" Owen declared. Michael remarked, \"Amelia is a knave or Lucas is a knight\". \"Olivia is a knave and Owen is a knight,\" William claimed. \"Amelia is not a knave,\" Lucas mentioned. So who is a knight and who is a knave?", "names": ["Sophia", "Olivia", "Amelia", "Owen", "Michael", "William", "Lucas"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, true, false, true], "solution_text": "Sophia is a knight, Olivia is a knight, Amelia is a knight, Owen is a knight, Michael is a knight, William is a knave, and Lucas is a knight.", "solution_text_format": "(1) Sophia is a knight\n(2) Olivia is a knight\n(3) Amelia is a knight\n(4) Owen is a knight\n(5) Michael is a knight\n(6) William is a knave\n(7) Lucas is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sophia is a knight. No contradiction is found in their claim that Owen is not a knave.", "Assume Owen is a knight. No contradiction is found in their claim that Olivia is a knight or Lucas is a knave.", "Assume Olivia is a knight. No contradiction is found in their claim that William is a knave or Sophia is a knight.", "William cannot be a knight, because this would contradict the claim of their own that Olivia is a knave and Owen is a knight.", "Assume William is a knave. No contradiction is found in their false claim that Olivia is a knave and Owen is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that Amelia is not a knave.", "Assume Amelia is a knight. No contradiction is found in their claim that Owen is a knight and Sophia is a knight.", "Assume Michael is a knight. No contradiction is found in their claim that Amelia is a knave or Lucas is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 3)), ('or', ('lying', 5), ('telling-truth', 0)), ('and', ('telling-truth', 3), ('telling-truth', 0)), ('or', ('telling-truth', 1), ('lying', 6)), ('or', ('lying', 2), ('telling-truth', 6)), ('and', ('lying', 1), ('telling-truth', 3)), ('not', ('lying', 2)))", "index": 515}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Emily, Matthew, Sophia, Ella, Samuel, Harper, and Victoria. Emily told you that Sophia is a knight or Ella is a knight. Matthew noted, \"Harper is not a knight\". Sophia was heard saying, \"Matthew is a knave\". Ella noted, \"Matthew is a knight\". \"Emily is a knight,\" Samuel mentioned. \"Emily is not a knave,\" Harper declared. Victoria expressed that Matthew is a knight or Harper is a knight. So who is a knight and who is a knave?", "names": ["Emily", "Matthew", "Sophia", "Ella", "Samuel", "Harper", "Victoria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false, true, true, true], "solution_text": "Emily is a knight, Matthew is a knave, Sophia is a knight, Ella is a knave, Samuel is a knight, Harper is a knight, and Victoria is a knight.", "solution_text_format": "(1) Emily is a knight\n(2) Matthew is a knave\n(3) Sophia is a knight\n(4) Ella is a knave\n(5) Samuel is a knight\n(6) Harper is a knight\n(7) Victoria is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Emily is a knight. No contradiction is found in their claim that Sophia is a knight or Ella is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that Matthew is a knave.", "Matthew cannot be a knight, because this would contradict the claim of Sophia that Matthew is a knave.", "Assume Matthew is a knave. No contradiction is found in their false claim that Harper is not a knight.", "Assume Harper is a knight. No contradiction is found in their claim that Emily is not a knave.", "Ella cannot be a knight, because this would contradict the claim of their own that Matthew is a knight.", "Assume Ella is a knave. No contradiction is found in their false claim that Matthew is a knight.", "Assume Samuel is a knight. No contradiction is found in their claim that Emily is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that Matthew is a knight or Harper is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 2), ('telling-truth', 3)), ('not', ('telling-truth', 5)), ('lying', 1), ('telling-truth', 1), ('telling-truth', 0), ('not', ('lying', 0)), ('or', ('telling-truth', 1), ('telling-truth', 5)))", "index": 516}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Emma, Evelyn, Victoria, Sofia, Michael, Jacob, and Aria. Emma noted, \"Aria is a knight or Sofia is a knight\". \"Emma is a knave and Emma is a knight,\" Evelyn declared. \"Jacob is a knight and Sofia is a knight,\" Victoria claimed. \"Aria is a knave or Victoria is a knight,\" Sofia declared. Michael remarked, \"Victoria is a knave or Sofia is a knight\". Jacob expressed that Aria is a knave and Michael is a knave. According to Aria, \"Evelyn is not a knave\". So who is a knight and who is a knave?", "names": ["Emma", "Evelyn", "Victoria", "Sofia", "Michael", "Jacob", "Aria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, true, false, false], "solution_text": "Emma is a knight, Evelyn is a knave, Victoria is a knave, Sofia is a knight, Michael is a knight, Jacob is a knave, and Aria is a knave.", "solution_text_format": "(1) Emma is a knight\n(2) Evelyn is a knave\n(3) Victoria is a knave\n(4) Sofia is a knight\n(5) Michael is a knight\n(6) Jacob is a knave\n(7) Aria is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Emma is a knight. No contradiction is found in their claim that Aria is a knight or Sofia is a knight.", "Assume Aria is a knight. No contradiction is found in their claim that Evelyn is not a knave.", "Evelyn cannot be a knight, because this would contradict the claim of their own that Emma is a knave and Emma is a knight.", "Evelyn cannot be a knave, because this would contradict the claim of Aria that Evelyn is not a knave.", "We have exhausted all possibilities for Evelyn, so let us go back and reconsider Aria.", "Assume Aria is a knave. No contradiction is found in their false claim that Evelyn is not a knave.", "Evelyn cannot be a knight, because this would contradict the claim of their own that Emma is a knave and Emma is a knight.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Emma is a knave and Emma is a knight.", "Assume Sofia is a knight. No contradiction is found in their claim that Aria is a knave or Victoria is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that Jacob is a knight and Sofia is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that Aria is a knave and Michael is a knave.", "Michael cannot be a knight, because this would contradict the claim of Jacob that Aria is a knave and Michael is a knave.", "Michael cannot be a knave, because this would contradict the false claim of their own that Victoria is a knave or Sofia is a knight.", "We have exhausted all possibilities for Michael, so let us go back and reconsider Jacob.", "Jacob cannot be a knave, because this would contradict the claim of Victoria that Jacob is a knight and Sofia is a knight.", "We have exhausted all possibilities for Jacob, so let us go back and reconsider Victoria.", "Assume Victoria is a knave. No contradiction is found in their false claim that Jacob is a knight and Sofia is a knight.", "Jacob cannot be a knight, because this would contradict the false claim of Victoria that Jacob is a knight and Sofia is a knight.", "Assume Jacob is a knave. No contradiction is found in their false claim that Aria is a knave and Michael is a knave.", "Assume Michael is a knight. No contradiction is found in their claim that Victoria is a knave or Sofia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 6), ('telling-truth', 3)), ('and', ('lying', 0), ('telling-truth', 0)), ('and', ('telling-truth', 5), ('telling-truth', 3)), ('or', ('lying', 6), ('telling-truth', 2)), ('or', ('lying', 2), ('telling-truth', 3)), ('and', ('lying', 6), ('lying', 4)), ('not', ('lying', 1)))", "index": 517}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Avery, Ava, Aiden, Isabella, Scarlett, Sebastian, and Harper. In Avery's words: \"Harper is not a knave\". Ava commented, \"Isabella is a knave and Harper is a knave\". In a statement by Aiden: \"Harper is a knave and Avery is a knight\". In a statement by Isabella: \"Harper is not a knave\". Scarlett said that Avery is not a knave. According to Sebastian, \"Aiden is a knight\". In a statement by Harper: \"Isabella is a knave or Scarlett is a knight\". So who is a knight and who is a knave?", "names": ["Avery", "Ava", "Aiden", "Isabella", "Scarlett", "Sebastian", "Harper"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, true, false, true], "solution_text": "Avery is a knight, Ava is a knave, Aiden is a knave, Isabella is a knight, Scarlett is a knight, Sebastian is a knave, and Harper is a knight.", "solution_text_format": "(1) Avery is a knight\n(2) Ava is a knave\n(3) Aiden is a knave\n(4) Isabella is a knight\n(5) Scarlett is a knight\n(6) Sebastian is a knave\n(7) Harper is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Avery is a knight. No contradiction is found in their claim that Harper is not a knave.", "Assume Harper is a knight. No contradiction is found in their claim that Isabella is a knave or Scarlett is a knight.", "Assume Isabella is a knight. No contradiction is found in their claim that Harper is not a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that Avery is not a knave.", "Ava cannot be a knight, because this would contradict the claim of their own that Isabella is a knave and Harper is a knave.", "Assume Ava is a knave. No contradiction is found in their false claim that Isabella is a knave and Harper is a knave.", "Aiden cannot be a knight, because this would contradict the claim of their own that Harper is a knave and Avery is a knight.", "Assume Aiden is a knave. No contradiction is found in their false claim that Harper is a knave and Avery is a knight.", "Sebastian cannot be a knight, because this would contradict the claim of their own that Aiden is a knight.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Aiden is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 6)), ('and', ('lying', 3), ('lying', 6)), ('and', ('lying', 6), ('telling-truth', 0)), ('not', ('lying', 6)), ('not', ('lying', 0)), ('telling-truth', 2), ('or', ('lying', 3), ('telling-truth', 4)))", "index": 518}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Evelyn, William, Sebastian, Ella, Aiden, Amelia, and Logan. Evelyn said, \"Sebastian is not a knight.\" \"Ella is not a knave,\" William declared. \"If Evelyn is a knight then Evelyn is a knave,\" Sebastian declared. Ella remarked, \"Logan is a knight\". Aiden commented, \"Ella is a knight and Logan is a knight\". According to Amelia, \"Sebastian is a knave\". Logan told you that If Aiden is a knight then Evelyn is a knight. So who is a knight and who is a knave?", "names": ["Evelyn", "William", "Sebastian", "Ella", "Aiden", "Amelia", "Logan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true, true, true, true], "solution_text": "Evelyn is a knight, William is a knight, Sebastian is a knave, Ella is a knight, Aiden is a knight, Amelia is a knight, and Logan is a knight.", "solution_text_format": "(1) Evelyn is a knight\n(2) William is a knight\n(3) Sebastian is a knave\n(4) Ella is a knight\n(5) Aiden is a knight\n(6) Amelia is a knight\n(7) Logan is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Evelyn is a knight. No contradiction is found in their claim that Sebastian is not a knight.", "Sebastian cannot be a knight, because this would contradict the claim of Evelyn that Sebastian is not a knight.", "Assume Sebastian is a knave. No contradiction is found in their false claim that If Evelyn is a knight then Evelyn is a knave.", "Assume William is a knight. No contradiction is found in their claim that Ella is not a knave.", "Assume Ella is a knight. No contradiction is found in their claim that Logan is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that If Aiden is a knight then Evelyn is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that Ella is a knight and Logan is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that Sebastian is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 2)), ('not', ('lying', 3)), ('->', ('telling-truth', 0), ('lying', 0)), ('telling-truth', 6), ('and', ('telling-truth', 3), ('telling-truth', 6)), ('lying', 2), ('->', ('telling-truth', 4), ('telling-truth', 0)))", "index": 519}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Zoey, Avery, Benjamin, Samuel, Aiden, Penelope, and Isabella. Zoey commented, \"Avery is a knight and Avery is a knave\". Avery told you that Benjamin is not a knave. \"Zoey is a knave or Penelope is a knight,\" Benjamin declared. Samuel said, \"Benjamin is a knave or Aiden is a knave.\" Aiden said, \"If Isabella is a knight then Avery is a knight.\" Penelope expressed that If Aiden is a knave then Benjamin is a knave. According to Isabella, \"Samuel is a knight and Isabella is a knight\". So who is a knight and who is a knave?", "names": ["Zoey", "Avery", "Benjamin", "Samuel", "Aiden", "Penelope", "Isabella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false, true, true, false], "solution_text": "Zoey is a knave, Avery is a knight, Benjamin is a knight, Samuel is a knave, Aiden is a knight, Penelope is a knight, and Isabella is a knave.", "solution_text_format": "(1) Zoey is a knave\n(2) Avery is a knight\n(3) Benjamin is a knight\n(4) Samuel is a knave\n(5) Aiden is a knight\n(6) Penelope is a knight\n(7) Isabella is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Zoey cannot be a knight, because this would contradict the claim of their own that Avery is a knight and Avery is a knave.", "Assume Zoey is a knave. No contradiction is found in their false claim that Avery is a knight and Avery is a knave.", "Assume Avery is a knight. No contradiction is found in their claim that Benjamin is not a knave.", "Assume Benjamin is a knight. No contradiction is found in their claim that Zoey is a knave or Penelope is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that If Aiden is a knave then Benjamin is a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that If Isabella is a knight then Avery is a knight.", "Assume Isabella is a knight. No contradiction is found in their claim that Samuel is a knight and Isabella is a knight.", "Samuel cannot be a knight, because this would contradict the claim of their own that Benjamin is a knave or Aiden is a knave.", "Samuel cannot be a knave, because this would contradict the claim of Isabella that Samuel is a knight and Isabella is a knight.", "We have exhausted all possibilities for Samuel, so let us go back and reconsider Isabella.", "Assume Isabella is a knave. No contradiction is found in their false claim that Samuel is a knight and Isabella is a knight.", "Samuel cannot be a knight, because this would contradict the claim of their own that Benjamin is a knave or Aiden is a knave.", "Assume Samuel is a knave. No contradiction is found in their false claim that Benjamin is a knave or Aiden is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('lying', 1)), ('not', ('lying', 2)), ('or', ('lying', 0), ('telling-truth', 5)), ('or', ('lying', 2), ('lying', 4)), ('->', ('telling-truth', 6), ('telling-truth', 1)), ('->', ('lying', 4), ('lying', 2)), ('and', ('telling-truth', 3), ('telling-truth', 6)))", "index": 520}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Evelyn, Matthew, William, Chloe, Alexander, James, and Sofia. \"Alexander is not a knight\" - Evelyn. In Matthew's words: \"If Sofia is a knight then William is a knave\". William told you that Matthew is a knave or Matthew is a knight. \"Sofia is a knight and James is a knight,\" Chloe mentioned. Alexander told you that Chloe is a knave or Matthew is a knight. \"Alexander is a knight and Alexander is a knave,\" James claimed. Sofia said that James is a knave if and only if James is a knight. So who is a knight and who is a knave?", "names": ["Evelyn", "Matthew", "William", "Chloe", "Alexander", "James", "Sofia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false, true, false, false], "solution_text": "Evelyn is a knave, Matthew is a knight, William is a knight, Chloe is a knave, Alexander is a knight, James is a knave, and Sofia is a knave.", "solution_text_format": "(1) Evelyn is a knave\n(2) Matthew is a knight\n(3) William is a knight\n(4) Chloe is a knave\n(5) Alexander is a knight\n(6) James is a knave\n(7) Sofia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Evelyn is a knight. No contradiction is found in their claim that Alexander is not a knight.", "Alexander cannot be a knight, because this would contradict the claim of Evelyn that Alexander is not a knight.", "Assume Alexander is a knave. No contradiction is found in their false claim that Chloe is a knave or Matthew is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that Sofia is a knight and James is a knight.", "Sofia cannot be a knight, because this would contradict the claim of their own that James is a knave if and only if James is a knight.", "Sofia cannot be a knave, because this would contradict the claim of Chloe that Sofia is a knight and James is a knight.", "We have exhausted all possibilities for Sofia, so let us go back and reconsider Chloe.", "Chloe cannot be a knave, because this would contradict the false claim of Alexander that Chloe is a knave or Matthew is a knight.", "We have exhausted all possibilities for Chloe and Alexander, so let us go back and reconsider Evelyn.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Alexander is not a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that Chloe is a knave or Matthew is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that Sofia is a knight and James is a knight.", "Sofia cannot be a knight, because this would contradict the claim of their own that James is a knave if and only if James is a knight.", "Sofia cannot be a knave, because this would contradict the claim of Chloe that Sofia is a knight and James is a knight.", "We have exhausted all possibilities for Sofia, so let us go back and reconsider Chloe.", "Assume Chloe is a knave. No contradiction is found in their false claim that Sofia is a knight and James is a knight.", "Sofia cannot be a knight, because this would contradict the claim of their own that James is a knave if and only if James is a knight.", "Assume Sofia is a knave. No contradiction is found in their false claim that James is a knave if and only if James is a knight.", "James cannot be a knight, because this would contradict the claim of their own that Alexander is a knight and Alexander is a knave.", "Assume James is a knave. No contradiction is found in their false claim that Alexander is a knight and Alexander is a knave.", "Assume Matthew is a knight. No contradiction is found in their claim that If Sofia is a knight then William is a knave.", "Assume William is a knight. No contradiction is found in their claim that Matthew is a knave or Matthew is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 4)), ('->', ('telling-truth', 6), ('lying', 2)), ('or', ('lying', 1), ('telling-truth', 1)), ('and', ('telling-truth', 6), ('telling-truth', 5)), ('or', ('lying', 3), ('telling-truth', 1)), ('and', ('telling-truth', 4), ('lying', 4)), ('<=>', ('lying', 5), ('telling-truth', 5)))", "index": 521}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Jackson, Owen, Samuel, Ethan, Scarlett, Logan, and William. In Jackson's words: \"Logan is a knight or Samuel is a knave\". Owen remarked, \"Scarlett is a knight\". \"Ethan is a knight\" - Samuel. In a statement by Ethan: \"Logan is a knave and Logan is a knight\". Scarlett expressed that If Jackson is a knave then Samuel is a knight. In a statement by Logan: \"If Ethan is a knight then Owen is a knight\". William remarked, \"Jackson is a knave\". So who is a knight and who is a knave?", "names": ["Jackson", "Owen", "Samuel", "Ethan", "Scarlett", "Logan", "William"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false, true, true, false], "solution_text": "Jackson is a knight, Owen is a knight, Samuel is a knave, Ethan is a knave, Scarlett is a knight, Logan is a knight, and William is a knave.", "solution_text_format": "(1) Jackson is a knight\n(2) Owen is a knight\n(3) Samuel is a knave\n(4) Ethan is a knave\n(5) Scarlett is a knight\n(6) Logan is a knight\n(7) William is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jackson is a knight. No contradiction is found in their claim that Logan is a knight or Samuel is a knave.", "Assume Logan is a knight. No contradiction is found in their claim that If Ethan is a knight then Owen is a knight.", "Ethan cannot be a knight, because this would contradict the claim of their own that Logan is a knave and Logan is a knight.", "Assume Ethan is a knave. No contradiction is found in their false claim that Logan is a knave and Logan is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that Scarlett is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that If Jackson is a knave then Samuel is a knight.", "Samuel cannot be a knight, because this would contradict the claim of their own that Ethan is a knight.", "Assume Samuel is a knave. No contradiction is found in their false claim that Ethan is a knight.", "William cannot be a knight, because this would contradict the claim of their own that Jackson is a knave.", "Assume William is a knave. No contradiction is found in their false claim that Jackson is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 5), ('lying', 2)), ('telling-truth', 4), ('telling-truth', 3), ('and', ('lying', 5), ('telling-truth', 5)), ('->', ('lying', 0), ('telling-truth', 2)), ('->', ('telling-truth', 3), ('telling-truth', 1)), ('lying', 0))", "index": 522}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Sebastian, Aurora, Michael, Elizabeth, Alexander, Olivia, and Ella. Sebastian expressed that Alexander is a knave and Ella is a knight. According to Aurora, \"Elizabeth is a knight\". Michael expressed that Sebastian is a knight. According to Elizabeth, \"Aurora is a knave and Michael is a knight\". According to Alexander, \"Olivia is a knave\". In a statement by Olivia: \"Sebastian is not a knave\". Ella commented, \"Olivia is a knight if and only if Sebastian is a knave\". So who is a knight and who is a knave?", "names": ["Sebastian", "Aurora", "Michael", "Elizabeth", "Alexander", "Olivia", "Ella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, false, true, false, false], "solution_text": "Sebastian is a knave, Aurora is a knave, Michael is a knave, Elizabeth is a knave, Alexander is a knight, Olivia is a knave, and Ella is a knave.", "solution_text_format": "(1) Sebastian is a knave\n(2) Aurora is a knave\n(3) Michael is a knave\n(4) Elizabeth is a knave\n(5) Alexander is a knight\n(6) Olivia is a knave\n(7) Ella is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sebastian is a knight. No contradiction is found in their claim that Alexander is a knave and Ella is a knight.", "Alexander cannot be a knight, because this would contradict the claim of Sebastian that Alexander is a knave and Ella is a knight.", "Assume Alexander is a knave. No contradiction is found in their false claim that Olivia is a knave.", "Assume Olivia is a knight. No contradiction is found in their claim that Sebastian is not a knave.", "Ella cannot be a knight, because this would contradict the claim of their own that Olivia is a knight if and only if Sebastian is a knave.", "Ella cannot be a knave, because this would contradict the claim of Sebastian that Alexander is a knave and Ella is a knight.", "We have exhausted all possibilities for Ella, so let us go back and reconsider Olivia.", "Olivia cannot be a knave, because this would contradict the false claim of Alexander that Olivia is a knave.", "We have exhausted all possibilities for Olivia and Alexander, so let us go back and reconsider Sebastian.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Alexander is a knave and Ella is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that Olivia is a knave.", "Olivia cannot be a knight, because this would contradict the claim of Alexander that Olivia is a knave.", "Assume Olivia is a knave. No contradiction is found in their false claim that Sebastian is not a knave.", "Ella cannot be a knight, because this would contradict the claim of their own that Olivia is a knight if and only if Sebastian is a knave.", "Assume Ella is a knave. No contradiction is found in their false claim that Olivia is a knight if and only if Sebastian is a knave.", "Assume Aurora is a knight. No contradiction is found in their claim that Elizabeth is a knight.", "Elizabeth cannot be a knight, because this would contradict the claim of their own that Aurora is a knave and Michael is a knight.", "Elizabeth cannot be a knave, because this would contradict the claim of Aurora that Elizabeth is a knight.", "We have exhausted all possibilities for Elizabeth, so let us go back and reconsider Aurora.", "Assume Aurora is a knave. No contradiction is found in their false claim that Elizabeth is a knight.", "Elizabeth cannot be a knight, because this would contradict the false claim of Aurora that Elizabeth is a knight.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Aurora is a knave and Michael is a knight.", "Michael cannot be a knight, because this would contradict the claim of their own that Sebastian is a knight.", "Assume Michael is a knave. No contradiction is found in their false claim that Sebastian is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 4), ('telling-truth', 6)), ('telling-truth', 3), ('telling-truth', 0), ('and', ('lying', 1), ('telling-truth', 2)), ('lying', 5), ('not', ('lying', 0)), ('<=>', ('telling-truth', 5), ('lying', 0)))", "index": 523}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Aiden, Olivia, Sofia, James, William, Jack, and Aurora. As Aiden put it, \"Jack is a knave\". Olivia remarked, \"Aiden is a knave and Jack is a knave\". Sofia said that William is a knight if and only if James is a knave. According to James, \"William is a knave if and only if Jack is a knave\". As William put it, \"James is a knight\". Jack was heard saying, \"William is not a knave\". Aurora commented, \"James is a knight if and only if Olivia is a knave\". So who is a knight and who is a knave?", "names": ["Aiden", "Olivia", "Sofia", "James", "William", "Jack", "Aurora"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true, true, true, true], "solution_text": "Aiden is a knave, Olivia is a knave, Sofia is a knave, James is a knight, William is a knight, Jack is a knight, and Aurora is a knight.", "solution_text_format": "(1) Aiden is a knave\n(2) Olivia is a knave\n(3) Sofia is a knave\n(4) James is a knight\n(5) William is a knight\n(6) Jack is a knight\n(7) Aurora is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aiden is a knight. No contradiction is found in their claim that Jack is a knave.", "Jack cannot be a knight, because this would contradict the claim of Aiden that Jack is a knave.", "Assume Jack is a knave. No contradiction is found in their false claim that William is not a knave.", "William cannot be a knight, because this would contradict the false claim of Jack that William is not a knave.", "Assume William is a knave. No contradiction is found in their false claim that James is a knight.", "James cannot be a knight, because this would contradict the false claim of William that James is a knight.", "James cannot be a knave, because this would contradict the false claim of their own that William is a knave if and only if Jack is a knave.", "We have exhausted all possibilities for James, William, and Jack, so let us go back and reconsider Aiden.", "Assume Aiden is a knave. No contradiction is found in their false claim that Jack is a knave.", "Assume Jack is a knight. No contradiction is found in their claim that William is not a knave.", "Assume William is a knight. No contradiction is found in their claim that James is a knight.", "Assume James is a knight. No contradiction is found in their claim that William is a knave if and only if Jack is a knave.", "Olivia cannot be a knight, because this would contradict the claim of their own that Aiden is a knave and Jack is a knave.", "Assume Olivia is a knave. No contradiction is found in their false claim that Aiden is a knave and Jack is a knave.", "Sofia cannot be a knight, because this would contradict the claim of their own that William is a knight if and only if James is a knave.", "Assume Sofia is a knave. No contradiction is found in their false claim that William is a knight if and only if James is a knave.", "Assume Aurora is a knight. No contradiction is found in their claim that James is a knight if and only if Olivia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 5), ('and', ('lying', 0), ('lying', 5)), ('<=>', ('telling-truth', 4), ('lying', 3)), ('<=>', ('lying', 4), ('lying', 5)), ('telling-truth', 3), ('not', ('lying', 4)), ('<=>', ('telling-truth', 3), ('lying', 1)))", "index": 524}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Ella, Emily, Michael, Elizabeth, Luke, Zoey, and Charlotte. \"Michael is a knave or Emily is a knave,\" Ella claimed. \"Ella is a knave or Elizabeth is a knave,\" Emily mentioned. As Michael put it, \"Emily is a knight if and only if Luke is a knight\". Elizabeth remarked, \"Michael is a knave\". Luke said that Michael is not a knight. As Zoey put it, \"If Ella is a knave then Emily is a knave\". Charlotte was heard saying, \"Luke is not a knave\". So who is a knight and who is a knave?", "names": ["Ella", "Emily", "Michael", "Elizabeth", "Luke", "Zoey", "Charlotte"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, true, true, true], "solution_text": "Ella is a knight, Emily is a knave, Michael is a knave, Elizabeth is a knight, Luke is a knight, Zoey is a knight, and Charlotte is a knight.", "solution_text_format": "(1) Ella is a knight\n(2) Emily is a knave\n(3) Michael is a knave\n(4) Elizabeth is a knight\n(5) Luke is a knight\n(6) Zoey is a knight\n(7) Charlotte is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ella is a knight. No contradiction is found in their claim that Michael is a knave or Emily is a knave.", "Assume Michael is a knight. No contradiction is found in their claim that Emily is a knight if and only if Luke is a knight.", "Emily cannot be a knight, because this would contradict the claim of Ella that Michael is a knave or Emily is a knave.", "Assume Emily is a knave. No contradiction is found in their false claim that Ella is a knave or Elizabeth is a knave.", "Elizabeth cannot be a knight, because this would contradict the claim of their own that Michael is a knave.", "Elizabeth cannot be a knave, because this would contradict the false claim of Emily that Ella is a knave or Elizabeth is a knave.", "We have exhausted all possibilities for Elizabeth and Emily, so let us go back and reconsider Michael.", "Assume Michael is a knave. No contradiction is found in their false claim that Emily is a knight if and only if Luke is a knight.", "Assume Emily is a knight. No contradiction is found in their claim that Ella is a knave or Elizabeth is a knave.", "Elizabeth cannot be a knight, because this would contradict the claim of Emily that Ella is a knave or Elizabeth is a knave.", "Elizabeth cannot be a knave, because this would contradict the false claim of their own that Michael is a knave.", "We have exhausted all possibilities for Elizabeth, so let us go back and reconsider Emily.", "Assume Emily is a knave. No contradiction is found in their false claim that Ella is a knave or Elizabeth is a knave.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Michael is a knave.", "Assume Luke is a knight. No contradiction is found in their claim that Michael is not a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that If Ella is a knave then Emily is a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that Luke is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 2), ('lying', 1)), ('or', ('lying', 0), ('lying', 3)), ('<=>', ('telling-truth', 1), ('telling-truth', 4)), ('lying', 2), ('not', ('telling-truth', 2)), ('->', ('lying', 0), ('lying', 1)), ('not', ('lying', 4)))", "index": 525}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Sophia, Aiden, Alexander, Scarlett, Charlotte, James, and Henry. Sophia noted, \"Sophia is a knight and Charlotte is a knave\". In a statement by Aiden: \"Sophia is a knave or Henry is a knave\". \"Charlotte is a knight and Sophia is a knight,\" Alexander mentioned. As Scarlett put it, \"If Henry is a knave then Scarlett is a knight\". Charlotte told you that Scarlett is not a knight. James stated, \"If Scarlett is a knave then Sophia is a knight\". Henry was heard saying, \"Aiden is a knight if and only if Alexander is a knave\". So who is a knight and who is a knave?", "names": ["Sophia", "Aiden", "Alexander", "Scarlett", "Charlotte", "James", "Henry"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true, false, true, true], "solution_text": "Sophia is a knave, Aiden is a knight, Alexander is a knave, Scarlett is a knight, Charlotte is a knave, James is a knight, and Henry is a knight.", "solution_text_format": "(1) Sophia is a knave\n(2) Aiden is a knight\n(3) Alexander is a knave\n(4) Scarlett is a knight\n(5) Charlotte is a knave\n(6) James is a knight\n(7) Henry is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sophia is a knight. No contradiction is found in their claim that Sophia is a knight and Charlotte is a knave.", "Charlotte cannot be a knight, because this would contradict the claim of Sophia that Sophia is a knight and Charlotte is a knave.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Scarlett is not a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that If Henry is a knave then Scarlett is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that Aiden is a knight if and only if Alexander is a knave.", "Aiden cannot be a knight, because this would contradict the claim of their own that Sophia is a knave or Henry is a knave.", "Assume Aiden is a knave. No contradiction is found in their false claim that Sophia is a knave or Henry is a knave.", "Alexander cannot be a knight, because this would contradict the claim of their own that Charlotte is a knight and Sophia is a knight.", "Alexander cannot be a knave, because this would contradict the claim of Henry that Aiden is a knight if and only if Alexander is a knave.", "We have exhausted all possibilities for Alexander and Aiden, so let us go back and reconsider Henry.", "Assume Henry is a knave. No contradiction is found in their false claim that Aiden is a knight if and only if Alexander is a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that Sophia is a knave or Henry is a knave.", "Alexander cannot be a knight, because this would contradict the claim of their own that Charlotte is a knight and Sophia is a knight.", "Alexander cannot be a knave, because this would contradict the false claim of Henry that Aiden is a knight if and only if Alexander is a knave.", "We have exhausted all possibilities for Alexander, so let us go back and reconsider Aiden.", "Aiden cannot be a knave, because this would contradict the false claim of their own that Sophia is a knave or Henry is a knave.", "We have exhausted all possibilities for Aiden and Henry, so let us go back and reconsider Scarlett.", "Scarlett cannot be a knave, because this would contradict the false claim of Charlotte that Scarlett is not a knight.", "We have exhausted all possibilities for Scarlett and Charlotte, so let us go back and reconsider Sophia.", "Assume Sophia is a knave. No contradiction is found in their false claim that Sophia is a knight and Charlotte is a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that Scarlett is not a knight.", "Scarlett cannot be a knight, because this would contradict the claim of Charlotte that Scarlett is not a knight.", "Assume Scarlett is a knave. No contradiction is found in their false claim that If Henry is a knave then Scarlett is a knight.", "Henry cannot be a knight, because this would contradict the false claim of Scarlett that If Henry is a knave then Scarlett is a knight.", "Assume Henry is a knave. No contradiction is found in their false claim that Aiden is a knight if and only if Alexander is a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that Sophia is a knave or Henry is a knave.", "Alexander cannot be a knight, because this would contradict the claim of their own that Charlotte is a knight and Sophia is a knight.", "Alexander cannot be a knave, because this would contradict the false claim of Henry that Aiden is a knight if and only if Alexander is a knave.", "We have exhausted all possibilities for Alexander, so let us go back and reconsider Aiden.", "Aiden cannot be a knave, because this would contradict the false claim of their own that Sophia is a knave or Henry is a knave.", "We have exhausted all possibilities for Aiden, Henry, and Scarlett, so let us go back and reconsider Charlotte.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Scarlett is not a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that If Henry is a knave then Scarlett is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that Aiden is a knight if and only if Alexander is a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that Sophia is a knave or Henry is a knave.", "Alexander cannot be a knight, because this would contradict the claim of their own that Charlotte is a knight and Sophia is a knight.", "Assume Alexander is a knave. No contradiction is found in their false claim that Charlotte is a knight and Sophia is a knight.", "Assume James is a knight. No contradiction is found in their claim that If Scarlett is a knave then Sophia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 0), ('lying', 4)), ('or', ('lying', 0), ('lying', 6)), ('and', ('telling-truth', 4), ('telling-truth', 0)), ('->', ('lying', 6), ('telling-truth', 3)), ('not', ('telling-truth', 3)), ('->', ('lying', 3), ('telling-truth', 0)), ('<=>', ('telling-truth', 1), ('lying', 2)))", "index": 526}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Ella, Sofia, Emma, Olivia, Chloe, William, and Joseph. In Ella's words: \"Joseph is a knight and Olivia is a knave\". Sofia expressed that Chloe is a knave and Emma is a knave. Emma asserted: \"If Olivia is a knave then Sofia is a knave\". As Olivia put it, \"Chloe is a knight if and only if William is a knight\". \"Emma is a knave and Emma is a knight,\" Chloe mentioned. \"Chloe is not a knave,\" William mentioned. As Joseph put it, \"Sofia is a knave\". So who is a knight and who is a knave?", "names": ["Ella", "Sofia", "Emma", "Olivia", "Chloe", "William", "Joseph"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true, false, false, true], "solution_text": "Ella is a knave, Sofia is a knave, Emma is a knight, Olivia is a knight, Chloe is a knave, William is a knave, and Joseph is a knight.", "solution_text_format": "(1) Ella is a knave\n(2) Sofia is a knave\n(3) Emma is a knight\n(4) Olivia is a knight\n(5) Chloe is a knave\n(6) William is a knave\n(7) Joseph is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ella is a knight. No contradiction is found in their claim that Joseph is a knight and Olivia is a knave.", "Assume Joseph is a knight. No contradiction is found in their claim that Sofia is a knave.", "Sofia cannot be a knight, because this would contradict the claim of Joseph that Sofia is a knave.", "Assume Sofia is a knave. No contradiction is found in their false claim that Chloe is a knave and Emma is a knave.", "Chloe cannot be a knight, because this would contradict the claim of their own that Emma is a knave and Emma is a knight.", "Assume Chloe is a knave. No contradiction is found in their false claim that Emma is a knave and Emma is a knight.", "Assume Emma is a knight. No contradiction is found in their claim that If Olivia is a knave then Sofia is a knave.", "Olivia cannot be a knight, because this would contradict the claim of Ella that Joseph is a knight and Olivia is a knave.", "Assume Olivia is a knave. No contradiction is found in their false claim that Chloe is a knight if and only if William is a knight.", "William cannot be a knight, because this would contradict the claim of their own that Chloe is not a knave.", "William cannot be a knave, because this would contradict the false claim of Olivia that Chloe is a knight if and only if William is a knight.", "We have exhausted all possibilities for William and Olivia, so let us go back and reconsider Emma.", "Emma cannot be a knave, because this would contradict the false claim of Sofia that Chloe is a knave and Emma is a knave.", "We have exhausted all possibilities for Emma, Chloe, and Sofia, so let us go back and reconsider Joseph.", "Joseph cannot be a knave, because this would contradict the claim of Ella that Joseph is a knight and Olivia is a knave.", "We have exhausted all possibilities for Joseph, so let us go back and reconsider Ella.", "Assume Ella is a knave. No contradiction is found in their false claim that Joseph is a knight and Olivia is a knave.", "Assume Joseph is a knight. No contradiction is found in their claim that Sofia is a knave.", "Sofia cannot be a knight, because this would contradict the claim of Joseph that Sofia is a knave.", "Assume Sofia is a knave. No contradiction is found in their false claim that Chloe is a knave and Emma is a knave.", "Chloe cannot be a knight, because this would contradict the claim of their own that Emma is a knave and Emma is a knight.", "Assume Chloe is a knave. No contradiction is found in their false claim that Emma is a knave and Emma is a knight.", "Assume Emma is a knight. No contradiction is found in their claim that If Olivia is a knave then Sofia is a knave.", "Assume Olivia is a knight. No contradiction is found in their claim that Chloe is a knight if and only if William is a knight.", "William cannot be a knight, because this would contradict the claim of Olivia that Chloe is a knight if and only if William is a knight.", "Assume William is a knave. No contradiction is found in their false claim that Chloe is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 6), ('lying', 3)), ('and', ('lying', 4), ('lying', 2)), ('->', ('lying', 3), ('lying', 1)), ('<=>', ('telling-truth', 4), ('telling-truth', 5)), ('and', ('lying', 2), ('telling-truth', 2)), ('not', ('lying', 4)), ('lying', 1))", "index": 527}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Ethan, Logan, Noah, Elizabeth, Abigail, Lucas, and Sophia. Ethan noted, \"Sophia is a knave\". Logan said, \"Abigail is a knight.\" Noah said that Ethan is a knave and Noah is a knight. Elizabeth remarked, \"Logan is a knight\". Abigail was heard saying, \"Sophia is a knave\". According to Lucas, \"Abigail is not a knave\". Sophia noted, \"Elizabeth is a knave and Lucas is a knight\". So who is a knight and who is a knave?", "names": ["Ethan", "Logan", "Noah", "Elizabeth", "Abigail", "Lucas", "Sophia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true, true, true, false], "solution_text": "Ethan is a knight, Logan is a knight, Noah is a knave, Elizabeth is a knight, Abigail is a knight, Lucas is a knight, and Sophia is a knave.", "solution_text_format": "(1) Ethan is a knight\n(2) Logan is a knight\n(3) Noah is a knave\n(4) Elizabeth is a knight\n(5) Abigail is a knight\n(6) Lucas is a knight\n(7) Sophia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ethan is a knight. No contradiction is found in their claim that Sophia is a knave.", "Sophia cannot be a knight, because this would contradict the claim of Ethan that Sophia is a knave.", "Assume Sophia is a knave. No contradiction is found in their false claim that Elizabeth is a knave and Lucas is a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Logan is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that Abigail is a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that Sophia is a knave.", "Assume Lucas is a knight. No contradiction is found in their claim that Abigail is not a knave.", "Noah cannot be a knight, because this would contradict the claim of their own that Ethan is a knave and Noah is a knight.", "Assume Noah is a knave. No contradiction is found in their false claim that Ethan is a knave and Noah is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 6), ('telling-truth', 4), ('and', ('lying', 0), ('telling-truth', 2)), ('telling-truth', 1), ('lying', 6), ('not', ('lying', 4)), ('and', ('lying', 3), ('telling-truth', 5)))", "index": 528}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Grace, Sophia, Elizabeth, David, Henry, Jackson, and Ethan. Grace noted, \"Elizabeth is not a knave\". Sophia told you that David is a knight or Grace is a knave. \"If Ethan is a knave then Sophia is a knave,\" Elizabeth mentioned. \"Jackson is a knight and Grace is a knight,\" David mentioned. Henry was heard saying, \"Jackson is not a knight\". Jackson remarked, \"Jackson is a knight or Elizabeth is a knight\". In a statement by Ethan: \"If David is a knight then Sophia is a knight\". So who is a knight and who is a knave?", "names": ["Grace", "Sophia", "Elizabeth", "David", "Henry", "Jackson", "Ethan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, false, true, true], "solution_text": "Grace is a knight, Sophia is a knight, Elizabeth is a knight, David is a knight, Henry is a knave, Jackson is a knight, and Ethan is a knight.", "solution_text_format": "(1) Grace is a knight\n(2) Sophia is a knight\n(3) Elizabeth is a knight\n(4) David is a knight\n(5) Henry is a knave\n(6) Jackson is a knight\n(7) Ethan is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Grace is a knight. No contradiction is found in their claim that Elizabeth is not a knave.", "Assume Elizabeth is a knight. No contradiction is found in their claim that If Ethan is a knave then Sophia is a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that If David is a knight then Sophia is a knight.", "Assume David is a knight. No contradiction is found in their claim that Jackson is a knight and Grace is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that Jackson is a knight or Elizabeth is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that David is a knight or Grace is a knave.", "Henry cannot be a knight, because this would contradict the claim of their own that Jackson is not a knight.", "Assume Henry is a knave. No contradiction is found in their false claim that Jackson is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 2)), ('or', ('telling-truth', 3), ('lying', 0)), ('->', ('lying', 6), ('lying', 1)), ('and', ('telling-truth', 5), ('telling-truth', 0)), ('not', ('telling-truth', 5)), ('or', ('telling-truth', 5), ('telling-truth', 2)), ('->', ('telling-truth', 3), ('telling-truth', 1)))", "index": 529}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Lucas, Ava, Charlotte, Ethan, Elizabeth, Aiden, and Benjamin. \"Ethan is not a knight,\" Lucas mentioned. Ava stated, \"Benjamin is a knave\". As Charlotte put it, \"Benjamin is not a knight\". In Ethan's words: \"Lucas is a knight or Charlotte is a knight\". Elizabeth asserted: \"Ava is not a knave\". In Aiden's words: \"Benjamin is a knight\". Benjamin said, \"Ethan is not a knight.\" So who is a knight and who is a knave?", "names": ["Lucas", "Ava", "Charlotte", "Ethan", "Elizabeth", "Aiden", "Benjamin"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, true, false, false], "solution_text": "Lucas is a knave, Ava is a knight, Charlotte is a knight, Ethan is a knight, Elizabeth is a knight, Aiden is a knave, and Benjamin is a knave.", "solution_text_format": "(1) Lucas is a knave\n(2) Ava is a knight\n(3) Charlotte is a knight\n(4) Ethan is a knight\n(5) Elizabeth is a knight\n(6) Aiden is a knave\n(7) Benjamin is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Lucas is a knight. No contradiction is found in their claim that Ethan is not a knight.", "Ethan cannot be a knight, because this would contradict the claim of Lucas that Ethan is not a knight.", "Ethan cannot be a knave, because this would contradict the false claim of their own that Lucas is a knight or Charlotte is a knight.", "We have exhausted all possibilities for Ethan, so let us go back and reconsider Lucas.", "Assume Lucas is a knave. No contradiction is found in their false claim that Ethan is not a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that Lucas is a knight or Charlotte is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that Benjamin is not a knight.", "Benjamin cannot be a knight, because this would contradict the claim of Charlotte that Benjamin is not a knight.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Ethan is not a knight.", "Assume Ava is a knight. No contradiction is found in their claim that Benjamin is a knave.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Ava is not a knave.", "Aiden cannot be a knight, because this would contradict the claim of their own that Benjamin is a knight.", "Assume Aiden is a knave. No contradiction is found in their false claim that Benjamin is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 3)), ('lying', 6), ('not', ('telling-truth', 6)), ('or', ('telling-truth', 0), ('telling-truth', 2)), ('not', ('lying', 1)), ('telling-truth', 6), ('not', ('telling-truth', 3)))", "index": 530}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Charlotte, Logan, Jackson, Jacob, Harper, Emma, and Owen. Charlotte was heard saying, \"Owen is a knight or Logan is a knave\". According to Logan, \"Jacob is a knight or Emma is a knave\". As Jackson put it, \"Harper is a knight\". Jacob noted, \"Emma is not a knight\". \"If Logan is a knave then Emma is a knave,\" Harper claimed. Emma commented, \"If Harper is a knave then Logan is a knave\". Owen expressed that Logan is a knight or Charlotte is a knight. So who is a knight and who is a knave?", "names": ["Charlotte", "Logan", "Jackson", "Jacob", "Harper", "Emma", "Owen"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false, false, true, true], "solution_text": "Charlotte is a knight, Logan is a knave, Jackson is a knave, Jacob is a knave, Harper is a knave, Emma is a knight, and Owen is a knight.", "solution_text_format": "(1) Charlotte is a knight\n(2) Logan is a knave\n(3) Jackson is a knave\n(4) Jacob is a knave\n(5) Harper is a knave\n(6) Emma is a knight\n(7) Owen is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Charlotte is a knight. No contradiction is found in their claim that Owen is a knight or Logan is a knave.", "Assume Owen is a knight. No contradiction is found in their claim that Logan is a knight or Charlotte is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that Jacob is a knight or Emma is a knave.", "Assume Jacob is a knight. No contradiction is found in their claim that Emma is not a knight.", "Emma cannot be a knight, because this would contradict the claim of Jacob that Emma is not a knight.", "Assume Emma is a knave. No contradiction is found in their false claim that If Harper is a knave then Logan is a knave.", "Harper cannot be a knight, because this would contradict the false claim of Emma that If Harper is a knave then Logan is a knave.", "Harper cannot be a knave, because this would contradict the false claim of their own that If Logan is a knave then Emma is a knave.", "We have exhausted all possibilities for Harper and Emma, so let us go back and reconsider Jacob.", "Assume Jacob is a knave. No contradiction is found in their false claim that Emma is not a knight.", "Emma cannot be a knight, because this would contradict the claim of Logan that Jacob is a knight or Emma is a knave.", "Emma cannot be a knave, because this would contradict the false claim of Jacob that Emma is not a knight.", "We have exhausted all possibilities for Emma and Jacob, so let us go back and reconsider Logan.", "Assume Logan is a knave. No contradiction is found in their false claim that Jacob is a knight or Emma is a knave.", "Jacob cannot be a knight, because this would contradict the false claim of Logan that Jacob is a knight or Emma is a knave.", "Assume Jacob is a knave. No contradiction is found in their false claim that Emma is not a knight.", "Assume Emma is a knight. No contradiction is found in their claim that If Harper is a knave then Logan is a knave.", "Harper cannot be a knight, because this would contradict the claim of their own that If Logan is a knave then Emma is a knave.", "Assume Harper is a knave. No contradiction is found in their false claim that If Logan is a knave then Emma is a knave.", "Jackson cannot be a knight, because this would contradict the claim of their own that Harper is a knight.", "Assume Jackson is a knave. No contradiction is found in their false claim that Harper is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 6), ('lying', 1)), ('or', ('telling-truth', 3), ('lying', 5)), ('telling-truth', 4), ('not', ('telling-truth', 5)), ('->', ('lying', 1), ('lying', 5)), ('->', ('lying', 4), ('lying', 1)), ('or', ('telling-truth', 1), ('telling-truth', 0)))", "index": 531}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Penelope, Benjamin, Jackson, Grace, Isabella, David, and Zoey. \"Benjamin is a knight or Zoey is a knave,\" Penelope declared. Benjamin said, \"Penelope is a knight and Zoey is a knave.\" Jackson said that Penelope is a knave or Penelope is a knight. According to Grace, \"David is a knight and David is a knave\". \"Jackson is not a knight\" - Isabella. David told you that Isabella is a knight if and only if Penelope is a knight. Zoey told you that Penelope is a knight and David is a knight. So who is a knight and who is a knave?", "names": ["Penelope", "Benjamin", "Jackson", "Grace", "Isabella", "David", "Zoey"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false, false, false, false], "solution_text": "Penelope is a knight, Benjamin is a knight, Jackson is a knight, Grace is a knave, Isabella is a knave, David is a knave, and Zoey is a knave.", "solution_text_format": "(1) Penelope is a knight\n(2) Benjamin is a knight\n(3) Jackson is a knight\n(4) Grace is a knave\n(5) Isabella is a knave\n(6) David is a knave\n(7) Zoey is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Penelope is a knight. No contradiction is found in their claim that Benjamin is a knight or Zoey is a knave.", "Assume Benjamin is a knight. No contradiction is found in their claim that Penelope is a knight and Zoey is a knave.", "Zoey cannot be a knight, because this would contradict the claim of Benjamin that Penelope is a knight and Zoey is a knave.", "Assume Zoey is a knave. No contradiction is found in their false claim that Penelope is a knight and David is a knight.", "David cannot be a knight, because this would contradict the false claim of Zoey that Penelope is a knight and David is a knight.", "Assume David is a knave. No contradiction is found in their false claim that Isabella is a knight if and only if Penelope is a knight.", "Isabella cannot be a knight, because this would contradict the false claim of David that Isabella is a knight if and only if Penelope is a knight.", "Assume Isabella is a knave. No contradiction is found in their false claim that Jackson is not a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that Penelope is a knave or Penelope is a knight.", "Grace cannot be a knight, because this would contradict the claim of their own that David is a knight and David is a knave.", "Assume Grace is a knave. No contradiction is found in their false claim that David is a knight and David is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 1), ('lying', 6)), ('and', ('telling-truth', 0), ('lying', 6)), ('or', ('lying', 0), ('telling-truth', 0)), ('and', ('telling-truth', 5), ('lying', 5)), ('not', ('telling-truth', 2)), ('<=>', ('telling-truth', 4), ('telling-truth', 0)), ('and', ('telling-truth', 0), ('telling-truth', 5)))", "index": 532}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Benjamin, Oliver, Sebastian, Lily, Charlotte, Daniel, and Scarlett. Benjamin asserted: \"Oliver is not a knight\". Oliver commented, \"Lily is a knight and Lily is a knave\". In a statement by Sebastian: \"Scarlett is a knave or Lily is a knight\". Lily expressed that Charlotte is a knave. According to Charlotte, \"Benjamin is not a knave\". \"Lily is a knave or Scarlett is a knight,\" Daniel declared. In a statement by Scarlett: \"Sebastian is a knave and Lily is a knight\". So who is a knight and who is a knave?", "names": ["Benjamin", "Oliver", "Sebastian", "Lily", "Charlotte", "Daniel", "Scarlett"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false, true, true, false], "solution_text": "Benjamin is a knight, Oliver is a knave, Sebastian is a knight, Lily is a knave, Charlotte is a knight, Daniel is a knight, and Scarlett is a knave.", "solution_text_format": "(1) Benjamin is a knight\n(2) Oliver is a knave\n(3) Sebastian is a knight\n(4) Lily is a knave\n(5) Charlotte is a knight\n(6) Daniel is a knight\n(7) Scarlett is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Benjamin is a knight. No contradiction is found in their claim that Oliver is not a knight.", "Oliver cannot be a knight, because this would contradict the claim of Benjamin that Oliver is not a knight.", "Assume Oliver is a knave. No contradiction is found in their false claim that Lily is a knight and Lily is a knave.", "Assume Lily is a knight. No contradiction is found in their claim that Charlotte is a knave.", "Charlotte cannot be a knight, because this would contradict the claim of Lily that Charlotte is a knave.", "Charlotte cannot be a knave, because this would contradict the false claim of their own that Benjamin is not a knave.", "We have exhausted all possibilities for Charlotte, so let us go back and reconsider Lily.", "Assume Lily is a knave. No contradiction is found in their false claim that Charlotte is a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that Benjamin is not a knave.", "Assume Sebastian is a knight. No contradiction is found in their claim that Scarlett is a knave or Lily is a knight.", "Scarlett cannot be a knight, because this would contradict the claim of Sebastian that Scarlett is a knave or Lily is a knight.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Sebastian is a knave and Lily is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that Lily is a knave or Scarlett is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('and', ('telling-truth', 3), ('lying', 3)), ('or', ('lying', 6), ('telling-truth', 3)), ('lying', 4), ('not', ('lying', 0)), ('or', ('lying', 3), ('telling-truth', 6)), ('and', ('lying', 2), ('telling-truth', 3)))", "index": 533}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Victoria, Sebastian, Olivia, Benjamin, Avery, Noah, and Aiden. Victoria stated, \"Noah is not a knave\". Sebastian asserted: \"If Victoria is a knave then Noah is a knight\". Olivia expressed that Benjamin is not a knight. Benjamin told you that Avery is not a knave. Avery commented, \"Noah is a knave or Noah is a knight\". Noah said that Olivia is a knight and Benjamin is a knave. Aiden asserted: \"Olivia is a knight or Benjamin is a knight\". So who is a knight and who is a knave?", "names": ["Victoria", "Sebastian", "Olivia", "Benjamin", "Avery", "Noah", "Aiden"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true, true, false, true], "solution_text": "Victoria is a knave, Sebastian is a knave, Olivia is a knave, Benjamin is a knight, Avery is a knight, Noah is a knave, and Aiden is a knight.", "solution_text_format": "(1) Victoria is a knave\n(2) Sebastian is a knave\n(3) Olivia is a knave\n(4) Benjamin is a knight\n(5) Avery is a knight\n(6) Noah is a knave\n(7) Aiden is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Victoria is a knight. No contradiction is found in their claim that Noah is not a knave.", "Assume Noah is a knight. No contradiction is found in their claim that Olivia is a knight and Benjamin is a knave.", "Assume Olivia is a knight. No contradiction is found in their claim that Benjamin is not a knight.", "Benjamin cannot be a knight, because this would contradict the claim of Olivia that Benjamin is not a knight.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Avery is not a knave.", "Avery cannot be a knight, because this would contradict the false claim of Benjamin that Avery is not a knave.", "Avery cannot be a knave, because this would contradict the false claim of their own that Noah is a knave or Noah is a knight.", "We have exhausted all possibilities for Avery and Benjamin, so let us go back and reconsider Olivia.", "Olivia cannot be a knave, because this would contradict the claim of Noah that Olivia is a knight and Benjamin is a knave.", "We have exhausted all possibilities for Olivia, so let us go back and reconsider Noah.", "Noah cannot be a knave, because this would contradict the claim of Victoria that Noah is not a knave.", "We have exhausted all possibilities for Noah, so let us go back and reconsider Victoria.", "Assume Victoria is a knave. No contradiction is found in their false claim that Noah is not a knave.", "Noah cannot be a knight, because this would contradict the false claim of Victoria that Noah is not a knave.", "Assume Noah is a knave. No contradiction is found in their false claim that Olivia is a knight and Benjamin is a knave.", "Assume Olivia is a knight. No contradiction is found in their claim that Benjamin is not a knight.", "Benjamin cannot be a knight, because this would contradict the claim of Olivia that Benjamin is not a knight.", "Benjamin cannot be a knave, because this would contradict the false claim of Noah that Olivia is a knight and Benjamin is a knave.", "We have exhausted all possibilities for Benjamin, so let us go back and reconsider Olivia.", "Assume Olivia is a knave. No contradiction is found in their false claim that Benjamin is not a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that Avery is not a knave.", "Assume Avery is a knight. No contradiction is found in their claim that Noah is a knave or Noah is a knight.", "Sebastian cannot be a knight, because this would contradict the claim of their own that If Victoria is a knave then Noah is a knight.", "Assume Sebastian is a knave. No contradiction is found in their false claim that If Victoria is a knave then Noah is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that Olivia is a knight or Benjamin is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 5)), ('->', ('lying', 0), ('telling-truth', 5)), ('not', ('telling-truth', 3)), ('not', ('lying', 4)), ('or', ('lying', 5), ('telling-truth', 5)), ('and', ('telling-truth', 2), ('lying', 3)), ('or', ('telling-truth', 2), ('telling-truth', 3)))", "index": 534}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Amelia, Lily, Ella, Ethan, Lucas, Sofia, and Luke. Amelia stated, \"Lily is not a knight\". In a statement by Lily: \"If Lucas is a knight then Ethan is a knight\". Ella commented, \"Lily is a knight or Ethan is a knave\". According to Ethan, \"Luke is not a knight\". \"Ella is not a knight\" - Lucas. Sofia stated, \"Lucas is a knight and Ethan is a knight\". As Luke put it, \"Sofia is a knight or Amelia is a knight\". So who is a knight and who is a knave?", "names": ["Amelia", "Lily", "Ella", "Ethan", "Lucas", "Sofia", "Luke"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, false, false, false], "solution_text": "Amelia is a knave, Lily is a knight, Ella is a knight, Ethan is a knight, Lucas is a knave, Sofia is a knave, and Luke is a knave.", "solution_text_format": "(1) Amelia is a knave\n(2) Lily is a knight\n(3) Ella is a knight\n(4) Ethan is a knight\n(5) Lucas is a knave\n(6) Sofia is a knave\n(7) Luke is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Amelia is a knight. No contradiction is found in their claim that Lily is not a knight.", "Lily cannot be a knight, because this would contradict the claim of Amelia that Lily is not a knight.", "Assume Lily is a knave. No contradiction is found in their false claim that If Lucas is a knight then Ethan is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that Ella is not a knight.", "Ella cannot be a knight, because this would contradict the claim of Lucas that Ella is not a knight.", "Assume Ella is a knave. No contradiction is found in their false claim that Lily is a knight or Ethan is a knave.", "Ethan cannot be a knight, because this would contradict the false claim of Lily that If Lucas is a knight then Ethan is a knight.", "Ethan cannot be a knave, because this would contradict the false claim of Ella that Lily is a knight or Ethan is a knave.", "We have exhausted all possibilities for Ethan and Ella, so let us go back and reconsider Lucas.", "Lucas cannot be a knave, because this would contradict the false claim of Lily that If Lucas is a knight then Ethan is a knight.", "We have exhausted all possibilities for Lucas and Lily, so let us go back and reconsider Amelia.", "Assume Amelia is a knave. No contradiction is found in their false claim that Lily is not a knight.", "Assume Lily is a knight. No contradiction is found in their claim that If Lucas is a knight then Ethan is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that Ella is not a knight.", "Ella cannot be a knight, because this would contradict the claim of Lucas that Ella is not a knight.", "Ella cannot be a knave, because this would contradict the false claim of their own that Lily is a knight or Ethan is a knave.", "We have exhausted all possibilities for Ella, so let us go back and reconsider Lucas.", "Assume Lucas is a knave. No contradiction is found in their false claim that Ella is not a knight.", "Assume Ella is a knight. No contradiction is found in their claim that Lily is a knight or Ethan is a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that Luke is not a knight.", "Luke cannot be a knight, because this would contradict the claim of Ethan that Luke is not a knight.", "Assume Luke is a knave. No contradiction is found in their false claim that Sofia is a knight or Amelia is a knight.", "Sofia cannot be a knight, because this would contradict the claim of their own that Lucas is a knight and Ethan is a knight.", "Assume Sofia is a knave. No contradiction is found in their false claim that Lucas is a knight and Ethan is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('->', ('telling-truth', 4), ('telling-truth', 3)), ('or', ('telling-truth', 1), ('lying', 3)), ('not', ('telling-truth', 6)), ('not', ('telling-truth', 2)), ('and', ('telling-truth', 4), ('telling-truth', 3)), ('or', ('telling-truth', 5), ('telling-truth', 0)))", "index": 535}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Scarlett, Daniel, Alexander, Aria, Jacob, Harper, and Jack. \"Jacob is a knight and Alexander is a knight,\" Scarlett declared. Daniel said, \"If Jack is a knight then Jacob is a knave.\" Alexander told you that Jacob is a knave. Aria was heard saying, \"Daniel is not a knave\". Jacob commented, \"Daniel is not a knight\". Harper remarked, \"If Alexander is a knave then Daniel is a knight\". Jack said that Aria is not a knave. So who is a knight and who is a knave?", "names": ["Scarlett", "Daniel", "Alexander", "Aria", "Jacob", "Harper", "Jack"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, false, true, true], "solution_text": "Scarlett is a knave, Daniel is a knight, Alexander is a knight, Aria is a knight, Jacob is a knave, Harper is a knight, and Jack is a knight.", "solution_text_format": "(1) Scarlett is a knave\n(2) Daniel is a knight\n(3) Alexander is a knight\n(4) Aria is a knight\n(5) Jacob is a knave\n(6) Harper is a knight\n(7) Jack is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Scarlett is a knight. No contradiction is found in their claim that Jacob is a knight and Alexander is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that Daniel is not a knight.", "Daniel cannot be a knight, because this would contradict the claim of Jacob that Daniel is not a knight.", "Assume Daniel is a knave. No contradiction is found in their false claim that If Jack is a knight then Jacob is a knave.", "Assume Jack is a knight. No contradiction is found in their claim that Aria is not a knave.", "Aria cannot be a knight, because this would contradict the claim of their own that Daniel is not a knave.", "Aria cannot be a knave, because this would contradict the claim of Jack that Aria is not a knave.", "We have exhausted all possibilities for Aria, so let us go back and reconsider Jack.", "Jack cannot be a knave, because this would contradict the false claim of Daniel that If Jack is a knight then Jacob is a knave.", "We have exhausted all possibilities for Jack and Daniel, so let us go back and reconsider Jacob.", "Jacob cannot be a knave, because this would contradict the claim of Scarlett that Jacob is a knight and Alexander is a knight.", "We have exhausted all possibilities for Jacob, so let us go back and reconsider Scarlett.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Jacob is a knight and Alexander is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that Daniel is not a knight.", "Daniel cannot be a knight, because this would contradict the claim of Jacob that Daniel is not a knight.", "Assume Daniel is a knave. No contradiction is found in their false claim that If Jack is a knight then Jacob is a knave.", "Assume Jack is a knight. No contradiction is found in their claim that Aria is not a knave.", "Aria cannot be a knight, because this would contradict the claim of their own that Daniel is not a knave.", "Aria cannot be a knave, because this would contradict the claim of Jack that Aria is not a knave.", "We have exhausted all possibilities for Aria, so let us go back and reconsider Jack.", "Jack cannot be a knave, because this would contradict the false claim of Daniel that If Jack is a knight then Jacob is a knave.", "We have exhausted all possibilities for Jack and Daniel, so let us go back and reconsider Jacob.", "Assume Jacob is a knave. No contradiction is found in their false claim that Daniel is not a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that If Jack is a knight then Jacob is a knave.", "Assume Jack is a knight. No contradiction is found in their claim that Aria is not a knave.", "Assume Aria is a knight. No contradiction is found in their claim that Daniel is not a knave.", "Assume Alexander is a knight. No contradiction is found in their claim that Jacob is a knave.", "Assume Harper is a knight. No contradiction is found in their claim that If Alexander is a knave then Daniel is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 4), ('telling-truth', 2)), ('->', ('telling-truth', 6), ('lying', 4)), ('lying', 4), ('not', ('lying', 1)), ('not', ('telling-truth', 1)), ('->', ('lying', 2), ('telling-truth', 1)), ('not', ('lying', 3)))", "index": 536}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Sebastian, Chloe, Aiden, Alexander, Liam, Matthew, and Ella. \"If Alexander is a knave then Liam is a knight,\" Sebastian declared. Chloe stated, \"If Ella is a knight then Liam is a knave\". Aiden was heard saying, \"Ella is a knight or Alexander is a knave\". Alexander expressed that Chloe is a knight or Ella is a knave. Liam was heard saying, \"Sebastian is a knave\". Matthew commented, \"Chloe is a knight\". Ella was heard saying, \"Chloe is a knight\". So who is a knight and who is a knave?", "names": ["Sebastian", "Chloe", "Aiden", "Alexander", "Liam", "Matthew", "Ella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, false, true, true], "solution_text": "Sebastian is a knight, Chloe is a knight, Aiden is a knight, Alexander is a knight, Liam is a knave, Matthew is a knight, and Ella is a knight.", "solution_text_format": "(1) Sebastian is a knight\n(2) Chloe is a knight\n(3) Aiden is a knight\n(4) Alexander is a knight\n(5) Liam is a knave\n(6) Matthew is a knight\n(7) Ella is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sebastian is a knight. No contradiction is found in their claim that If Alexander is a knave then Liam is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that Chloe is a knight or Ella is a knave.", "Assume Chloe is a knight. No contradiction is found in their claim that If Ella is a knight then Liam is a knave.", "Assume Ella is a knight. No contradiction is found in their claim that Chloe is a knight.", "Liam cannot be a knight, because this would contradict the claim of Chloe that If Ella is a knight then Liam is a knave.", "Assume Liam is a knave. No contradiction is found in their false claim that Sebastian is a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that Ella is a knight or Alexander is a knave.", "Assume Matthew is a knight. No contradiction is found in their claim that Chloe is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 3), ('telling-truth', 4)), ('->', ('telling-truth', 6), ('lying', 4)), ('or', ('telling-truth', 6), ('lying', 3)), ('or', ('telling-truth', 1), ('lying', 6)), ('lying', 0), ('telling-truth', 1), ('telling-truth', 1))", "index": 537}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Sophia, Abigail, Elizabeth, Mason, Sofia, Penelope, and Logan. Sophia told you that Mason is a knight if and only if Sofia is a knave. Abigail commented, \"Sofia is a knight\". Elizabeth was heard saying, \"Mason is a knave or Mason is a knight\". Mason noted, \"Logan is a knight\". According to Sofia, \"Abigail is a knight or Mason is a knave\". Penelope commented, \"Mason is a knave and Sophia is a knave\". According to Logan, \"Abigail is a knight\". So who is a knight and who is a knave?", "names": ["Sophia", "Abigail", "Elizabeth", "Mason", "Sofia", "Penelope", "Logan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, true, false, true], "solution_text": "Sophia is a knave, Abigail is a knight, Elizabeth is a knight, Mason is a knight, Sofia is a knight, Penelope is a knave, and Logan is a knight.", "solution_text_format": "(1) Sophia is a knave\n(2) Abigail is a knight\n(3) Elizabeth is a knight\n(4) Mason is a knight\n(5) Sofia is a knight\n(6) Penelope is a knave\n(7) Logan is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sophia is a knight. No contradiction is found in their claim that Mason is a knight if and only if Sofia is a knave.", "Assume Mason is a knight. No contradiction is found in their claim that Logan is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that Abigail is a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that Sofia is a knight.", "Sofia cannot be a knight, because this would contradict the claim of Sophia that Mason is a knight if and only if Sofia is a knave.", "Sofia cannot be a knave, because this would contradict the claim of Abigail that Sofia is a knight.", "We have exhausted all possibilities for Sofia, so let us go back and reconsider Abigail.", "Abigail cannot be a knave, because this would contradict the claim of Logan that Abigail is a knight.", "We have exhausted all possibilities for Abigail, so let us go back and reconsider Logan.", "Logan cannot be a knave, because this would contradict the claim of Mason that Logan is a knight.", "We have exhausted all possibilities for Logan, so let us go back and reconsider Mason.", "Assume Mason is a knave. No contradiction is found in their false claim that Logan is a knight.", "Logan cannot be a knight, because this would contradict the false claim of Mason that Logan is a knight.", "Assume Logan is a knave. No contradiction is found in their false claim that Abigail is a knight.", "Abigail cannot be a knight, because this would contradict the false claim of Logan that Abigail is a knight.", "Assume Abigail is a knave. No contradiction is found in their false claim that Sofia is a knight.", "Sofia cannot be a knight, because this would contradict the false claim of Abigail that Sofia is a knight.", "Sofia cannot be a knave, because this would contradict the claim of Sophia that Mason is a knight if and only if Sofia is a knave.", "We have exhausted all possibilities for Sofia, Abigail, Logan, and Mason, so let us go back and reconsider Sophia.", "Assume Sophia is a knave. No contradiction is found in their false claim that Mason is a knight if and only if Sofia is a knave.", "Assume Mason is a knight. No contradiction is found in their claim that Logan is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that Abigail is a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that Sofia is a knight.", "Assume Sofia is a knight. No contradiction is found in their claim that Abigail is a knight or Mason is a knave.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Mason is a knave or Mason is a knight.", "Penelope cannot be a knight, because this would contradict the claim of their own that Mason is a knave and Sophia is a knave.", "Assume Penelope is a knave. No contradiction is found in their false claim that Mason is a knave and Sophia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 3), ('lying', 4)), ('telling-truth', 4), ('or', ('lying', 3), ('telling-truth', 3)), ('telling-truth', 6), ('or', ('telling-truth', 1), ('lying', 3)), ('and', ('lying', 3), ('lying', 0)), ('telling-truth', 1))", "index": 538}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: William, Sophia, Alexander, Amelia, Noah, Aiden, and Ava. William commented, \"Alexander is a knave\". \"Amelia is a knight if and only if William is a knight\" - Sophia. Alexander was heard saying, \"If Noah is a knave then Amelia is a knight\". Amelia was heard saying, \"If Alexander is a knave then Sophia is a knave\". According to Noah, \"Alexander is a knave\". Aiden said that Sophia is a knight or Amelia is a knave. Ava expressed that William is a knight. So who is a knight and who is a knave?", "names": ["William", "Sophia", "Alexander", "Amelia", "Noah", "Aiden", "Ava"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true, false, false, false], "solution_text": "William is a knave, Sophia is a knave, Alexander is a knight, Amelia is a knight, Noah is a knave, Aiden is a knave, and Ava is a knave.", "solution_text_format": "(1) William is a knave\n(2) Sophia is a knave\n(3) Alexander is a knight\n(4) Amelia is a knight\n(5) Noah is a knave\n(6) Aiden is a knave\n(7) Ava is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume William is a knight. No contradiction is found in their claim that Alexander is a knave.", "Alexander cannot be a knight, because this would contradict the claim of William that Alexander is a knave.", "Assume Alexander is a knave. No contradiction is found in their false claim that If Noah is a knave then Amelia is a knight.", "Noah cannot be a knight, because this would contradict the false claim of Alexander that If Noah is a knave then Amelia is a knight.", "Noah cannot be a knave, because this would contradict the false claim of their own that Alexander is a knave.", "We have exhausted all possibilities for Noah and Alexander, so let us go back and reconsider William.", "Assume William is a knave. No contradiction is found in their false claim that Alexander is a knave.", "Assume Alexander is a knight. No contradiction is found in their claim that If Noah is a knave then Amelia is a knight.", "Noah cannot be a knight, because this would contradict the claim of their own that Alexander is a knave.", "Assume Noah is a knave. No contradiction is found in their false claim that Alexander is a knave.", "Assume Amelia is a knight. No contradiction is found in their claim that If Alexander is a knave then Sophia is a knave.", "Sophia cannot be a knight, because this would contradict the claim of their own that Amelia is a knight if and only if William is a knight.", "Assume Sophia is a knave. No contradiction is found in their false claim that Amelia is a knight if and only if William is a knight.", "Aiden cannot be a knight, because this would contradict the claim of their own that Sophia is a knight or Amelia is a knave.", "Assume Aiden is a knave. No contradiction is found in their false claim that Sophia is a knight or Amelia is a knave.", "Ava cannot be a knight, because this would contradict the claim of their own that William is a knight.", "Assume Ava is a knave. No contradiction is found in their false claim that William is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 2), ('<=>', ('telling-truth', 3), ('telling-truth', 0)), ('->', ('lying', 4), ('telling-truth', 3)), ('->', ('lying', 2), ('lying', 1)), ('lying', 2), ('or', ('telling-truth', 1), ('lying', 3)), ('telling-truth', 0))", "index": 539}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Jack, Daniel, Avery, Aurora, Abigail, Lily, and Emily. \"Aurora is a knight or Aurora is a knave,\" Jack claimed. \"Avery is a knave if and only if Jack is a knave,\" Daniel mentioned. \"Daniel is a knight or Aurora is a knave,\" Avery mentioned. Aurora expressed that Daniel is a knight. \"Jack is a knight and Lily is a knave,\" Abigail mentioned. In a statement by Lily: \"Daniel is a knave and Jack is a knight\". Emily told you that Avery is not a knave. So who is a knight and who is a knave?", "names": ["Jack", "Daniel", "Avery", "Aurora", "Abigail", "Lily", "Emily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, true, false, true], "solution_text": "Jack is a knight, Daniel is a knight, Avery is a knight, Aurora is a knight, Abigail is a knight, Lily is a knave, and Emily is a knight.", "solution_text_format": "(1) Jack is a knight\n(2) Daniel is a knight\n(3) Avery is a knight\n(4) Aurora is a knight\n(5) Abigail is a knight\n(6) Lily is a knave\n(7) Emily is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jack is a knight. No contradiction is found in their claim that Aurora is a knight or Aurora is a knave.", "Assume Aurora is a knight. No contradiction is found in their claim that Daniel is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that Avery is a knave if and only if Jack is a knave.", "Assume Avery is a knight. No contradiction is found in their claim that Daniel is a knight or Aurora is a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that Jack is a knight and Lily is a knave.", "Lily cannot be a knight, because this would contradict the claim of Abigail that Jack is a knight and Lily is a knave.", "Assume Lily is a knave. No contradiction is found in their false claim that Daniel is a knave and Jack is a knight.", "Assume Emily is a knight. No contradiction is found in their claim that Avery is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 3), ('lying', 3)), ('<=>', ('lying', 2), ('lying', 0)), ('or', ('telling-truth', 1), ('lying', 3)), ('telling-truth', 1), ('and', ('telling-truth', 0), ('lying', 5)), ('and', ('lying', 1), ('telling-truth', 0)), ('not', ('lying', 2)))", "index": 540}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Benjamin, Logan, Lucas, Olivia, Aiden, Aria, and Emily. In a statement by Benjamin: \"If Logan is a knave then Olivia is a knight\". Logan commented, \"Benjamin is a knave and Logan is a knight\". Lucas asserted: \"Olivia is not a knave\". Olivia noted, \"Logan is a knight if and only if Emily is a knight\". Aiden said, \"Benjamin is a knave and Aiden is a knight.\" Aria asserted: \"Emily is a knave if and only if Olivia is a knight\". Emily commented, \"Benjamin is a knight if and only if Emily is a knight\". So who is a knight and who is a knave?", "names": ["Benjamin", "Logan", "Lucas", "Olivia", "Aiden", "Aria", "Emily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, false, true, false], "solution_text": "Benjamin is a knight, Logan is a knave, Lucas is a knight, Olivia is a knight, Aiden is a knave, Aria is a knight, and Emily is a knave.", "solution_text_format": "(1) Benjamin is a knight\n(2) Logan is a knave\n(3) Lucas is a knight\n(4) Olivia is a knight\n(5) Aiden is a knave\n(6) Aria is a knight\n(7) Emily is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Benjamin is a knight. No contradiction is found in their claim that If Logan is a knave then Olivia is a knight.", "Logan cannot be a knight, because this would contradict the claim of their own that Benjamin is a knave and Logan is a knight.", "Assume Logan is a knave. No contradiction is found in their false claim that Benjamin is a knave and Logan is a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that Logan is a knight if and only if Emily is a knight.", "Emily cannot be a knight, because this would contradict the claim of Olivia that Logan is a knight if and only if Emily is a knight.", "Assume Emily is a knave. No contradiction is found in their false claim that Benjamin is a knight if and only if Emily is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that Olivia is not a knave.", "Aiden cannot be a knight, because this would contradict the claim of their own that Benjamin is a knave and Aiden is a knight.", "Assume Aiden is a knave. No contradiction is found in their false claim that Benjamin is a knave and Aiden is a knight.", "Assume Aria is a knight. No contradiction is found in their claim that Emily is a knave if and only if Olivia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 1), ('telling-truth', 3)), ('and', ('lying', 0), ('telling-truth', 1)), ('not', ('lying', 3)), ('<=>', ('telling-truth', 1), ('telling-truth', 6)), ('and', ('lying', 0), ('telling-truth', 4)), ('<=>', ('lying', 6), ('telling-truth', 3)), ('<=>', ('telling-truth', 0), ('telling-truth', 6)))", "index": 541}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Sebastian, William, Ethan, Elizabeth, Evelyn, Aurora, and Olivia. In Sebastian's words: \"Olivia is not a knave\". As William put it, \"If Aurora is a knight then Ethan is a knight\". Ethan asserted: \"Sebastian is a knave and William is a knave\". \"Sebastian is a knave\" - Elizabeth. \"Ethan is a knight or Olivia is a knave\" - Evelyn. Aurora remarked, \"Evelyn is a knight and Olivia is a knave\". Olivia stated, \"Evelyn is a knave\". So who is a knight and who is a knave?", "names": ["Sebastian", "William", "Ethan", "Elizabeth", "Evelyn", "Aurora", "Olivia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false, false, false, true], "solution_text": "Sebastian is a knight, William is a knight, Ethan is a knave, Elizabeth is a knave, Evelyn is a knave, Aurora is a knave, and Olivia is a knight.", "solution_text_format": "(1) Sebastian is a knight\n(2) William is a knight\n(3) Ethan is a knave\n(4) Elizabeth is a knave\n(5) Evelyn is a knave\n(6) Aurora is a knave\n(7) Olivia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sebastian is a knight. No contradiction is found in their claim that Olivia is not a knave.", "Assume Olivia is a knight. No contradiction is found in their claim that Evelyn is a knave.", "Evelyn cannot be a knight, because this would contradict the claim of Olivia that Evelyn is a knave.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Ethan is a knight or Olivia is a knave.", "Ethan cannot be a knight, because this would contradict the claim of their own that Sebastian is a knave and William is a knave.", "Assume Ethan is a knave. No contradiction is found in their false claim that Sebastian is a knave and William is a knave.", "Assume William is a knight. No contradiction is found in their claim that If Aurora is a knight then Ethan is a knight.", "Aurora cannot be a knight, because this would contradict the claim of William that If Aurora is a knight then Ethan is a knight.", "Assume Aurora is a knave. No contradiction is found in their false claim that Evelyn is a knight and Olivia is a knave.", "Elizabeth cannot be a knight, because this would contradict the claim of their own that Sebastian is a knave.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Sebastian is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 6)), ('->', ('telling-truth', 5), ('telling-truth', 2)), ('and', ('lying', 0), ('lying', 1)), ('lying', 0), ('or', ('telling-truth', 2), ('lying', 6)), ('and', ('telling-truth', 4), ('lying', 6)), ('lying', 4))", "index": 542}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Aurora, Riley, Isabella, Jacob, Michael, Daniel, and Sebastian. \"Michael is a knave if and only if Riley is a knight\" - Aurora. In a statement by Riley: \"Daniel is a knight if and only if Isabella is a knight\". Isabella told you that Daniel is a knave or Michael is a knight. \"Aurora is a knave or Isabella is a knave\" - Jacob. In a statement by Michael: \"Aurora is a knight\". Daniel told you that Isabella is a knave or Riley is a knave. Sebastian stated, \"If Daniel is a knight then Aurora is a knave\". So who is a knight and who is a knave?", "names": ["Aurora", "Riley", "Isabella", "Jacob", "Michael", "Daniel", "Sebastian"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true, false, true, true], "solution_text": "Aurora is a knave, Riley is a knave, Isabella is a knave, Jacob is a knight, Michael is a knave, Daniel is a knight, and Sebastian is a knight.", "solution_text_format": "(1) Aurora is a knave\n(2) Riley is a knave\n(3) Isabella is a knave\n(4) Jacob is a knight\n(5) Michael is a knave\n(6) Daniel is a knight\n(7) Sebastian is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aurora is a knight. No contradiction is found in their claim that Michael is a knave if and only if Riley is a knight.", "Assume Michael is a knight. No contradiction is found in their claim that Aurora is a knight.", "Riley cannot be a knight, because this would contradict the claim of Aurora that Michael is a knave if and only if Riley is a knight.", "Assume Riley is a knave. No contradiction is found in their false claim that Daniel is a knight if and only if Isabella is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that Isabella is a knave or Riley is a knave.", "Isabella cannot be a knight, because this would contradict the false claim of Riley that Daniel is a knight if and only if Isabella is a knight.", "Isabella cannot be a knave, because this would contradict the false claim of their own that Daniel is a knave or Michael is a knight.", "We have exhausted all possibilities for Isabella, so let us go back and reconsider Daniel.", "Daniel cannot be a knave, because this would contradict the false claim of their own that Isabella is a knave or Riley is a knave.", "We have exhausted all possibilities for Daniel and Riley, so let us go back and reconsider Michael.", "Michael cannot be a knave, because this would contradict the false claim of their own that Aurora is a knight.", "We have exhausted all possibilities for Michael, so let us go back and reconsider Aurora.", "Assume Aurora is a knave. No contradiction is found in their false claim that Michael is a knave if and only if Riley is a knight.", "Michael cannot be a knight, because this would contradict the claim of their own that Aurora is a knight.", "Assume Michael is a knave. No contradiction is found in their false claim that Aurora is a knight.", "Riley cannot be a knight, because this would contradict the false claim of Aurora that Michael is a knave if and only if Riley is a knight.", "Assume Riley is a knave. No contradiction is found in their false claim that Daniel is a knight if and only if Isabella is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that Isabella is a knave or Riley is a knave.", "Isabella cannot be a knight, because this would contradict the false claim of Riley that Daniel is a knight if and only if Isabella is a knight.", "Assume Isabella is a knave. No contradiction is found in their false claim that Daniel is a knave or Michael is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that Aurora is a knave or Isabella is a knave.", "Assume Sebastian is a knight. No contradiction is found in their claim that If Daniel is a knight then Aurora is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 4), ('telling-truth', 1)), ('<=>', ('telling-truth', 5), ('telling-truth', 2)), ('or', ('lying', 5), ('telling-truth', 4)), ('or', ('lying', 0), ('lying', 2)), ('telling-truth', 0), ('or', ('lying', 2), ('lying', 1)), ('->', ('telling-truth', 5), ('lying', 0)))", "index": 543}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Oliver, Aria, Charlotte, Owen, Abigail, Alexander, and James. Oliver said, \"If Charlotte is a knight then Owen is a knight.\" \"Aria is a knight if and only if Abigail is a knight\" - Aria. Charlotte was heard saying, \"Alexander is a knight or Abigail is a knight\". Owen was heard saying, \"If Abigail is a knight then Alexander is a knight\". In Abigail's words: \"Aria is not a knave\". Alexander told you that Aria is a knight if and only if Charlotte is a knight. According to James, \"Aria is not a knight\". So who is a knight and who is a knave?", "names": ["Oliver", "Aria", "Charlotte", "Owen", "Abigail", "Alexander", "James"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, true, true, false], "solution_text": "Oliver is a knight, Aria is a knight, Charlotte is a knight, Owen is a knight, Abigail is a knight, Alexander is a knight, and James is a knave.", "solution_text_format": "(1) Oliver is a knight\n(2) Aria is a knight\n(3) Charlotte is a knight\n(4) Owen is a knight\n(5) Abigail is a knight\n(6) Alexander is a knight\n(7) James is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Oliver is a knight. No contradiction is found in their claim that If Charlotte is a knight then Owen is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that Alexander is a knight or Abigail is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that Aria is a knight if and only if Charlotte is a knight.", "Assume Aria is a knight. No contradiction is found in their claim that Aria is a knight if and only if Abigail is a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that Aria is not a knave.", "Assume Owen is a knight. No contradiction is found in their claim that If Abigail is a knight then Alexander is a knight.", "James cannot be a knight, because this would contradict the claim of their own that Aria is not a knight.", "Assume James is a knave. No contradiction is found in their false claim that Aria is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 2), ('telling-truth', 3)), ('<=>', ('telling-truth', 1), ('telling-truth', 4)), ('or', ('telling-truth', 5), ('telling-truth', 4)), ('->', ('telling-truth', 4), ('telling-truth', 5)), ('not', ('lying', 1)), ('<=>', ('telling-truth', 1), ('telling-truth', 2)), ('not', ('telling-truth', 1)))", "index": 544}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Oliver, Joseph, Jackson, Sebastian, Matthew, Ethan, and Aiden. Oliver noted, \"Sebastian is a knight if and only if Matthew is a knight\". Joseph stated, \"Aiden is a knight or Jackson is a knight\". Jackson said, \"Joseph is a knave or Aiden is a knight.\" Sebastian said that Jackson is a knight. \"Oliver is a knave or Matthew is a knight\" - Matthew. According to Ethan, \"Oliver is a knight if and only if Sebastian is a knave\". \"Ethan is a knave\" - Aiden. So who is a knight and who is a knave?", "names": ["Oliver", "Joseph", "Jackson", "Sebastian", "Matthew", "Ethan", "Aiden"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, true, false, true], "solution_text": "Oliver is a knight, Joseph is a knight, Jackson is a knight, Sebastian is a knight, Matthew is a knight, Ethan is a knave, and Aiden is a knight.", "solution_text_format": "(1) Oliver is a knight\n(2) Joseph is a knight\n(3) Jackson is a knight\n(4) Sebastian is a knight\n(5) Matthew is a knight\n(6) Ethan is a knave\n(7) Aiden is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Oliver is a knight. No contradiction is found in their claim that Sebastian is a knight if and only if Matthew is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Jackson is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that Joseph is a knave or Aiden is a knight.", "Assume Joseph is a knight. No contradiction is found in their claim that Aiden is a knight or Jackson is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that Ethan is a knave.", "Ethan cannot be a knight, because this would contradict the claim of their own that Oliver is a knight if and only if Sebastian is a knave.", "Assume Ethan is a knave. No contradiction is found in their false claim that Oliver is a knight if and only if Sebastian is a knave.", "Assume Matthew is a knight. No contradiction is found in their claim that Oliver is a knave or Matthew is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 3), ('telling-truth', 4)), ('or', ('telling-truth', 6), ('telling-truth', 2)), ('or', ('lying', 1), ('telling-truth', 6)), ('telling-truth', 2), ('or', ('lying', 0), ('telling-truth', 4)), ('<=>', ('telling-truth', 0), ('lying', 3)), ('lying', 5))", "index": 545}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Charlotte, Alexander, Sofia, Sophia, Owen, Ethan, and Daniel. \"Owen is a knave and Charlotte is a knight,\" Charlotte declared. According to Alexander, \"Owen is a knave\". In a statement by Sofia: \"Ethan is a knight and Alexander is a knave\". Sophia noted, \"If Sophia is a knight then Charlotte is a knave\". \"If Sophia is a knave then Alexander is a knave\" - Owen. Ethan said that Daniel is a knave and Charlotte is a knight. Daniel told you that Alexander is a knave. So who is a knight and who is a knave?", "names": ["Charlotte", "Alexander", "Sofia", "Sophia", "Owen", "Ethan", "Daniel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true, true, false, true], "solution_text": "Charlotte is a knave, Alexander is a knave, Sofia is a knave, Sophia is a knight, Owen is a knight, Ethan is a knave, and Daniel is a knight.", "solution_text_format": "(1) Charlotte is a knave\n(2) Alexander is a knave\n(3) Sofia is a knave\n(4) Sophia is a knight\n(5) Owen is a knight\n(6) Ethan is a knave\n(7) Daniel is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Charlotte is a knight. No contradiction is found in their claim that Owen is a knave and Charlotte is a knight.", "Owen cannot be a knight, because this would contradict the claim of Charlotte that Owen is a knave and Charlotte is a knight.", "Assume Owen is a knave. No contradiction is found in their false claim that If Sophia is a knave then Alexander is a knave.", "Sophia cannot be a knight, because this would contradict the claim of their own that If Sophia is a knight then Charlotte is a knave.", "Sophia cannot be a knave, because this would contradict the false claim of their own that If Sophia is a knight then Charlotte is a knave.", "We have exhausted all possibilities for Sophia and Owen, so let us go back and reconsider Charlotte.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Owen is a knave and Charlotte is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that If Sophia is a knave then Alexander is a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that If Sophia is a knight then Charlotte is a knave.", "Alexander cannot be a knight, because this would contradict the claim of their own that Owen is a knave.", "Assume Alexander is a knave. No contradiction is found in their false claim that Owen is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that Ethan is a knight and Alexander is a knave.", "Ethan cannot be a knight, because this would contradict the claim of their own that Daniel is a knave and Charlotte is a knight.", "Ethan cannot be a knave, because this would contradict the claim of Sofia that Ethan is a knight and Alexander is a knave.", "We have exhausted all possibilities for Ethan, so let us go back and reconsider Sofia.", "Assume Sofia is a knave. No contradiction is found in their false claim that Ethan is a knight and Alexander is a knave.", "Ethan cannot be a knight, because this would contradict the false claim of Sofia that Ethan is a knight and Alexander is a knave.", "Assume Ethan is a knave. No contradiction is found in their false claim that Daniel is a knave and Charlotte is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that Alexander is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 4), ('telling-truth', 0)), ('lying', 4), ('and', ('telling-truth', 5), ('lying', 1)), ('->', ('telling-truth', 3), ('lying', 0)), ('->', ('lying', 3), ('lying', 1)), ('and', ('lying', 6), ('telling-truth', 0)), ('lying', 1))", "index": 546}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Victoria, Amelia, Luke, Aria, Benjamin, Lily, and Joseph. Victoria was heard saying, \"Luke is a knave and Luke is a knight\". Amelia expressed that Aria is a knave. Luke expressed that Benjamin is a knight if and only if Joseph is a knave. Aria told you that Luke is a knave or Joseph is a knight. Benjamin was heard saying, \"If Joseph is a knight then Victoria is a knight\". Lily said, \"Victoria is a knight and Benjamin is a knave.\" Joseph stated, \"Victoria is a knave\". So who is a knight and who is a knave?", "names": ["Victoria", "Amelia", "Luke", "Aria", "Benjamin", "Lily", "Joseph"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true, false, false, true], "solution_text": "Victoria is a knave, Amelia is a knave, Luke is a knight, Aria is a knight, Benjamin is a knave, Lily is a knave, and Joseph is a knight.", "solution_text_format": "(1) Victoria is a knave\n(2) Amelia is a knave\n(3) Luke is a knight\n(4) Aria is a knight\n(5) Benjamin is a knave\n(6) Lily is a knave\n(7) Joseph is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Victoria cannot be a knight, because this would contradict the claim of their own that Luke is a knave and Luke is a knight.", "Assume Victoria is a knave. No contradiction is found in their false claim that Luke is a knave and Luke is a knight.", "Assume Luke is a knight. No contradiction is found in their claim that Benjamin is a knight if and only if Joseph is a knave.", "Assume Benjamin is a knight. No contradiction is found in their claim that If Joseph is a knight then Victoria is a knight.", "Joseph cannot be a knight, because this would contradict the claim of Luke that Benjamin is a knight if and only if Joseph is a knave.", "Joseph cannot be a knave, because this would contradict the false claim of their own that Victoria is a knave.", "We have exhausted all possibilities for Joseph, so let us go back and reconsider Benjamin.", "Assume Benjamin is a knave. No contradiction is found in their false claim that If Joseph is a knight then Victoria is a knight.", "Assume Joseph is a knight. No contradiction is found in their claim that Victoria is a knave.", "Assume Amelia is a knight. No contradiction is found in their claim that Aria is a knave.", "Aria cannot be a knight, because this would contradict the claim of Amelia that Aria is a knave.", "Aria cannot be a knave, because this would contradict the false claim of their own that Luke is a knave or Joseph is a knight.", "We have exhausted all possibilities for Aria, so let us go back and reconsider Amelia.", "Assume Amelia is a knave. No contradiction is found in their false claim that Aria is a knave.", "Assume Aria is a knight. No contradiction is found in their claim that Luke is a knave or Joseph is a knight.", "Lily cannot be a knight, because this would contradict the claim of their own that Victoria is a knight and Benjamin is a knave.", "Assume Lily is a knave. No contradiction is found in their false claim that Victoria is a knight and Benjamin is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('telling-truth', 2)), ('lying', 3), ('<=>', ('telling-truth', 4), ('lying', 6)), ('or', ('lying', 2), ('telling-truth', 6)), ('->', ('telling-truth', 6), ('telling-truth', 0)), ('and', ('telling-truth', 0), ('lying', 4)), ('lying', 0))", "index": 547}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Victoria, Zoey, Charlotte, Grace, Scarlett, Daniel, and Riley. Victoria said that Charlotte is a knave or Grace is a knight. Zoey noted, \"Riley is not a knight\". As Charlotte put it, \"If Zoey is a knight then Riley is a knight\". Grace said that Riley is not a knave. Scarlett noted, \"Zoey is a knave or Grace is a knight\". As Daniel put it, \"Scarlett is a knave\". As Riley put it, \"If Zoey is a knave then Scarlett is a knight\". So who is a knight and who is a knave?", "names": ["Victoria", "Zoey", "Charlotte", "Grace", "Scarlett", "Daniel", "Riley"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, true, false, true], "solution_text": "Victoria is a knight, Zoey is a knave, Charlotte is a knight, Grace is a knight, Scarlett is a knight, Daniel is a knave, and Riley is a knight.", "solution_text_format": "(1) Victoria is a knight\n(2) Zoey is a knave\n(3) Charlotte is a knight\n(4) Grace is a knight\n(5) Scarlett is a knight\n(6) Daniel is a knave\n(7) Riley is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Victoria is a knight. No contradiction is found in their claim that Charlotte is a knave or Grace is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that If Zoey is a knight then Riley is a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that Riley is not a knight.", "Riley cannot be a knight, because this would contradict the claim of Zoey that Riley is not a knight.", "Riley cannot be a knave, because this would contradict the claim of Charlotte that If Zoey is a knight then Riley is a knight.", "We have exhausted all possibilities for Riley, so let us go back and reconsider Zoey.", "Assume Zoey is a knave. No contradiction is found in their false claim that Riley is not a knight.", "Assume Riley is a knight. No contradiction is found in their claim that If Zoey is a knave then Scarlett is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that Zoey is a knave or Grace is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that Riley is not a knave.", "Daniel cannot be a knight, because this would contradict the claim of their own that Scarlett is a knave.", "Assume Daniel is a knave. No contradiction is found in their false claim that Scarlett is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 2), ('telling-truth', 3)), ('not', ('telling-truth', 6)), ('->', ('telling-truth', 1), ('telling-truth', 6)), ('not', ('lying', 6)), ('or', ('lying', 1), ('telling-truth', 3)), ('lying', 4), ('->', ('lying', 1), ('telling-truth', 4)))", "index": 548}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Chloe, Daniel, Aurora, Aiden, Avery, Jacob, and Isabella. \"Daniel is a knight,\" Chloe mentioned. \"If Aurora is a knave then Aurora is a knight,\" Daniel claimed. Aurora stated, \"Jacob is a knight or Chloe is a knave\". \"Aurora is a knight,\" Aiden mentioned. Avery was heard saying, \"Isabella is not a knight\". Jacob commented, \"Isabella is a knave and Jacob is a knight\". In Isabella's words: \"Isabella is a knight and Daniel is a knave\". So who is a knight and who is a knave?", "names": ["Chloe", "Daniel", "Aurora", "Aiden", "Avery", "Jacob", "Isabella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, true, true, false], "solution_text": "Chloe is a knight, Daniel is a knight, Aurora is a knight, Aiden is a knight, Avery is a knight, Jacob is a knight, and Isabella is a knave.", "solution_text_format": "(1) Chloe is a knight\n(2) Daniel is a knight\n(3) Aurora is a knight\n(4) Aiden is a knight\n(5) Avery is a knight\n(6) Jacob is a knight\n(7) Isabella is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Chloe is a knight. No contradiction is found in their claim that Daniel is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that If Aurora is a knave then Aurora is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that Jacob is a knight or Chloe is a knave.", "Assume Jacob is a knight. No contradiction is found in their claim that Isabella is a knave and Jacob is a knight.", "Isabella cannot be a knight, because this would contradict the claim of Jacob that Isabella is a knave and Jacob is a knight.", "Assume Isabella is a knave. No contradiction is found in their false claim that Isabella is a knight and Daniel is a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that Aurora is a knight.", "Assume Avery is a knight. No contradiction is found in their claim that Isabella is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 1), ('->', ('lying', 2), ('telling-truth', 2)), ('or', ('telling-truth', 5), ('lying', 0)), ('telling-truth', 2), ('not', ('telling-truth', 6)), ('and', ('lying', 6), ('telling-truth', 5)), ('and', ('telling-truth', 6), ('lying', 1)))", "index": 549}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Amelia, Grace, Alexander, Riley, Penelope, Aiden, and Noah. In a statement by Amelia: \"Grace is not a knight\". In a statement by Grace: \"Aiden is not a knave\". In Alexander's words: \"Riley is a knave or Noah is a knave\". Riley was heard saying, \"Penelope is a knave and Alexander is a knave\". Penelope was heard saying, \"Aiden is a knave\". Aiden was heard saying, \"Alexander is a knave and Penelope is a knight\". In Noah's words: \"Penelope is not a knave\". So who is a knight and who is a knave?", "names": ["Amelia", "Grace", "Alexander", "Riley", "Penelope", "Aiden", "Noah"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false, true, false, true], "solution_text": "Amelia is a knight, Grace is a knave, Alexander is a knight, Riley is a knave, Penelope is a knight, Aiden is a knave, and Noah is a knight.", "solution_text_format": "(1) Amelia is a knight\n(2) Grace is a knave\n(3) Alexander is a knight\n(4) Riley is a knave\n(5) Penelope is a knight\n(6) Aiden is a knave\n(7) Noah is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Amelia is a knight. No contradiction is found in their claim that Grace is not a knight.", "Grace cannot be a knight, because this would contradict the claim of Amelia that Grace is not a knight.", "Assume Grace is a knave. No contradiction is found in their false claim that Aiden is not a knave.", "Aiden cannot be a knight, because this would contradict the false claim of Grace that Aiden is not a knave.", "Assume Aiden is a knave. No contradiction is found in their false claim that Alexander is a knave and Penelope is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that Riley is a knave or Noah is a knave.", "Riley cannot be a knight, because this would contradict the claim of their own that Penelope is a knave and Alexander is a knave.", "Assume Riley is a knave. No contradiction is found in their false claim that Penelope is a knave and Alexander is a knave.", "Assume Penelope is a knight. No contradiction is found in their claim that Aiden is a knave.", "Assume Noah is a knight. No contradiction is found in their claim that Penelope is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('not', ('lying', 5)), ('or', ('lying', 3), ('lying', 6)), ('and', ('lying', 4), ('lying', 2)), ('lying', 5), ('and', ('lying', 2), ('telling-truth', 4)), ('not', ('lying', 4)))", "index": 550}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Victoria, Jackson, Chloe, Liam, Ethan, Henry, and Olivia. \"Ethan is a knight,\" Victoria claimed. \"If Ethan is a knight then Olivia is a knave\" - Jackson. According to Chloe, \"If Liam is a knave then Jackson is a knight\". Liam noted, \"If Victoria is a knave then Olivia is a knight\". In a statement by Ethan: \"Chloe is a knave\". \"If Ethan is a knight then Olivia is a knight\" - Henry. Olivia said, \"Ethan is a knave.\" So who is a knight and who is a knave?", "names": ["Victoria", "Jackson", "Chloe", "Liam", "Ethan", "Henry", "Olivia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, false, true, true], "solution_text": "Victoria is a knave, Jackson is a knight, Chloe is a knight, Liam is a knight, Ethan is a knave, Henry is a knight, and Olivia is a knight.", "solution_text_format": "(1) Victoria is a knave\n(2) Jackson is a knight\n(3) Chloe is a knight\n(4) Liam is a knight\n(5) Ethan is a knave\n(6) Henry is a knight\n(7) Olivia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Victoria is a knight. No contradiction is found in their claim that Ethan is a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that Chloe is a knave.", "Chloe cannot be a knight, because this would contradict the claim of Ethan that Chloe is a knave.", "Assume Chloe is a knave. No contradiction is found in their false claim that If Liam is a knave then Jackson is a knight.", "Liam cannot be a knight, because this would contradict the false claim of Chloe that If Liam is a knave then Jackson is a knight.", "Liam cannot be a knave, because this would contradict the false claim of their own that If Victoria is a knave then Olivia is a knight.", "We have exhausted all possibilities for Liam and Chloe, so let us go back and reconsider Ethan.", "Ethan cannot be a knave, because this would contradict the claim of Victoria that Ethan is a knight.", "We have exhausted all possibilities for Ethan, so let us go back and reconsider Victoria.", "Assume Victoria is a knave. No contradiction is found in their false claim that Ethan is a knight.", "Ethan cannot be a knight, because this would contradict the false claim of Victoria that Ethan is a knight.", "Assume Ethan is a knave. No contradiction is found in their false claim that Chloe is a knave.", "Assume Chloe is a knight. No contradiction is found in their claim that If Liam is a knave then Jackson is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that If Victoria is a knave then Olivia is a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that Ethan is a knave.", "Assume Jackson is a knight. No contradiction is found in their claim that If Ethan is a knight then Olivia is a knave.", "Assume Henry is a knight. No contradiction is found in their claim that If Ethan is a knight then Olivia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 4), ('->', ('telling-truth', 4), ('lying', 6)), ('->', ('lying', 3), ('telling-truth', 1)), ('->', ('lying', 0), ('telling-truth', 6)), ('lying', 2), ('->', ('telling-truth', 4), ('telling-truth', 6)), ('lying', 4))", "index": 551}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Harper, Owen, Jack, Joseph, Aurora, David, and William. Harper was heard saying, \"Joseph is a knight and Aurora is a knave\". Owen asserted: \"Harper is a knight or David is a knight\". Jack noted, \"If Aurora is a knight then Aurora is a knave\". Joseph said that Aurora is a knight if and only if William is a knight. \"Harper is not a knave,\" Aurora mentioned. David told you that Joseph is a knight or Jack is a knight. William expressed that Aurora is a knight or Joseph is a knave. So who is a knight and who is a knave?", "names": ["Harper", "Owen", "Jack", "Joseph", "Aurora", "David", "William"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false, false, true, true], "solution_text": "Harper is a knave, Owen is a knight, Jack is a knight, Joseph is a knave, Aurora is a knave, David is a knight, and William is a knight.", "solution_text_format": "(1) Harper is a knave\n(2) Owen is a knight\n(3) Jack is a knight\n(4) Joseph is a knave\n(5) Aurora is a knave\n(6) David is a knight\n(7) William is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Harper is a knight. No contradiction is found in their claim that Joseph is a knight and Aurora is a knave.", "Assume Joseph is a knight. No contradiction is found in their claim that Aurora is a knight if and only if William is a knight.", "Aurora cannot be a knight, because this would contradict the claim of Harper that Joseph is a knight and Aurora is a knave.", "Aurora cannot be a knave, because this would contradict the false claim of their own that Harper is not a knave.", "We have exhausted all possibilities for Aurora, so let us go back and reconsider Joseph.", "Joseph cannot be a knave, because this would contradict the claim of Harper that Joseph is a knight and Aurora is a knave.", "We have exhausted all possibilities for Joseph, so let us go back and reconsider Harper.", "Assume Harper is a knave. No contradiction is found in their false claim that Joseph is a knight and Aurora is a knave.", "Assume Joseph is a knight. No contradiction is found in their claim that Aurora is a knight if and only if William is a knight.", "Aurora cannot be a knight, because this would contradict the claim of their own that Harper is not a knave.", "Aurora cannot be a knave, because this would contradict the false claim of Harper that Joseph is a knight and Aurora is a knave.", "We have exhausted all possibilities for Aurora, so let us go back and reconsider Joseph.", "Assume Joseph is a knave. No contradiction is found in their false claim that Aurora is a knight if and only if William is a knight.", "Aurora cannot be a knight, because this would contradict the claim of their own that Harper is not a knave.", "Assume Aurora is a knave. No contradiction is found in their false claim that Harper is not a knave.", "Assume William is a knight. No contradiction is found in their claim that Aurora is a knight or Joseph is a knave.", "Assume Owen is a knight. No contradiction is found in their claim that Harper is a knight or David is a knight.", "Assume David is a knight. No contradiction is found in their claim that Joseph is a knight or Jack is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that If Aurora is a knight then Aurora is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 3), ('lying', 4)), ('or', ('telling-truth', 0), ('telling-truth', 5)), ('->', ('telling-truth', 4), ('lying', 4)), ('<=>', ('telling-truth', 4), ('telling-truth', 6)), ('not', ('lying', 0)), ('or', ('telling-truth', 3), ('telling-truth', 2)), ('or', ('telling-truth', 4), ('lying', 3)))", "index": 552}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Jack, Mason, Matthew, Henry, William, Penelope, and Sofia. Jack said, \"Henry is a knight and Mason is a knight.\" \"Penelope is not a knave,\" Mason mentioned. Matthew told you that If William is a knave then Sofia is a knight. Henry noted, \"If Sofia is a knight then Jack is a knave\". As William put it, \"Mason is a knave\". \"Sofia is a knight or Mason is a knight,\" Penelope claimed. Sofia said, \"Mason is a knight.\" So who is a knight and who is a knave?", "names": ["Jack", "Mason", "Matthew", "Henry", "William", "Penelope", "Sofia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true, true, false, false], "solution_text": "Jack is a knave, Mason is a knave, Matthew is a knight, Henry is a knight, William is a knight, Penelope is a knave, and Sofia is a knave.", "solution_text_format": "(1) Jack is a knave\n(2) Mason is a knave\n(3) Matthew is a knight\n(4) Henry is a knight\n(5) William is a knight\n(6) Penelope is a knave\n(7) Sofia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jack is a knight. No contradiction is found in their claim that Henry is a knight and Mason is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that If Sofia is a knight then Jack is a knave.", "Sofia cannot be a knight, because this would contradict the claim of Henry that If Sofia is a knight then Jack is a knave.", "Assume Sofia is a knave. No contradiction is found in their false claim that Mason is a knight.", "Mason cannot be a knight, because this would contradict the false claim of Sofia that Mason is a knight.", "Mason cannot be a knave, because this would contradict the claim of Jack that Henry is a knight and Mason is a knight.", "We have exhausted all possibilities for Mason and Sofia, so let us go back and reconsider Henry.", "Henry cannot be a knave, because this would contradict the claim of Jack that Henry is a knight and Mason is a knight.", "We have exhausted all possibilities for Henry, so let us go back and reconsider Jack.", "Assume Jack is a knave. No contradiction is found in their false claim that Henry is a knight and Mason is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that If Sofia is a knight then Jack is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that Mason is a knight.", "Mason cannot be a knight, because this would contradict the false claim of Jack that Henry is a knight and Mason is a knight.", "Mason cannot be a knave, because this would contradict the claim of Sofia that Mason is a knight.", "We have exhausted all possibilities for Mason, so let us go back and reconsider Sofia.", "Assume Sofia is a knave. No contradiction is found in their false claim that Mason is a knight.", "Mason cannot be a knight, because this would contradict the false claim of Jack that Henry is a knight and Mason is a knight.", "Assume Mason is a knave. No contradiction is found in their false claim that Penelope is not a knave.", "Penelope cannot be a knight, because this would contradict the false claim of Mason that Penelope is not a knave.", "Assume Penelope is a knave. No contradiction is found in their false claim that Sofia is a knight or Mason is a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that If William is a knave then Sofia is a knight.", "Assume William is a knight. No contradiction is found in their claim that Mason is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 3), ('telling-truth', 1)), ('not', ('lying', 5)), ('->', ('lying', 4), ('telling-truth', 6)), ('->', ('telling-truth', 6), ('lying', 0)), ('lying', 1), ('or', ('telling-truth', 6), ('telling-truth', 1)), ('telling-truth', 1))", "index": 553}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Lucas, Scarlett, Noah, Charlotte, Victoria, Emily, and Harper. \"Noah is a knight or Harper is a knave\" - Lucas. Scarlett was heard saying, \"Victoria is a knave and Lucas is a knave\". In a statement by Noah: \"Harper is a knight if and only if Lucas is a knight\". Charlotte asserted: \"Harper is a knave\". Victoria asserted: \"Harper is not a knave\". Emily said, \"If Charlotte is a knight then Scarlett is a knave.\" Harper told you that Victoria is a knave and Scarlett is a knight. So who is a knight and who is a knave?", "names": ["Lucas", "Scarlett", "Noah", "Charlotte", "Victoria", "Emily", "Harper"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, false, true, false], "solution_text": "Lucas is a knight, Scarlett is a knave, Noah is a knave, Charlotte is a knight, Victoria is a knave, Emily is a knight, and Harper is a knave.", "solution_text_format": "(1) Lucas is a knight\n(2) Scarlett is a knave\n(3) Noah is a knave\n(4) Charlotte is a knight\n(5) Victoria is a knave\n(6) Emily is a knight\n(7) Harper is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Lucas is a knight. No contradiction is found in their claim that Noah is a knight or Harper is a knave.", "Assume Noah is a knight. No contradiction is found in their claim that Harper is a knight if and only if Lucas is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that Victoria is a knave and Scarlett is a knight.", "Victoria cannot be a knight, because this would contradict the claim of Harper that Victoria is a knave and Scarlett is a knight.", "Victoria cannot be a knave, because this would contradict the false claim of their own that Harper is not a knave.", "We have exhausted all possibilities for Victoria, so let us go back and reconsider Harper.", "Harper cannot be a knave, because this would contradict the claim of Noah that Harper is a knight if and only if Lucas is a knight.", "We have exhausted all possibilities for Harper, so let us go back and reconsider Noah.", "Assume Noah is a knave. No contradiction is found in their false claim that Harper is a knight if and only if Lucas is a knight.", "Harper cannot be a knight, because this would contradict the claim of Lucas that Noah is a knight or Harper is a knave.", "Assume Harper is a knave. No contradiction is found in their false claim that Victoria is a knave and Scarlett is a knight.", "Victoria cannot be a knight, because this would contradict the claim of their own that Harper is not a knave.", "Assume Victoria is a knave. No contradiction is found in their false claim that Harper is not a knave.", "Scarlett cannot be a knight, because this would contradict the claim of their own that Victoria is a knave and Lucas is a knave.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Victoria is a knave and Lucas is a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that Harper is a knave.", "Assume Emily is a knight. No contradiction is found in their claim that If Charlotte is a knight then Scarlett is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 2), ('lying', 6)), ('and', ('lying', 4), ('lying', 0)), ('<=>', ('telling-truth', 6), ('telling-truth', 0)), ('lying', 6), ('not', ('lying', 6)), ('->', ('telling-truth', 3), ('lying', 1)), ('and', ('lying', 4), ('telling-truth', 1)))", "index": 554}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Ella, Samuel, Scarlett, Riley, Sebastian, Daniel, and Abigail. Ella commented, \"Samuel is a knight or Riley is a knave\". As Samuel put it, \"Daniel is a knight or Daniel is a knave\". Scarlett said that Sebastian is not a knight. Riley told you that Abigail is a knave. Sebastian remarked, \"Sebastian is a knight\". Daniel noted, \"If Riley is a knight then Scarlett is a knave\". In a statement by Abigail: \"Daniel is a knave\". So who is a knight and who is a knave?", "names": ["Ella", "Samuel", "Scarlett", "Riley", "Sebastian", "Daniel", "Abigail"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true, true, true, false], "solution_text": "Ella is a knight, Samuel is a knight, Scarlett is a knave, Riley is a knight, Sebastian is a knight, Daniel is a knight, and Abigail is a knave.", "solution_text_format": "(1) Ella is a knight\n(2) Samuel is a knight\n(3) Scarlett is a knave\n(4) Riley is a knight\n(5) Sebastian is a knight\n(6) Daniel is a knight\n(7) Abigail is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ella is a knight. No contradiction is found in their claim that Samuel is a knight or Riley is a knave.", "Assume Samuel is a knight. No contradiction is found in their claim that Daniel is a knight or Daniel is a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that If Riley is a knight then Scarlett is a knave.", "Assume Riley is a knight. No contradiction is found in their claim that Abigail is a knave.", "Abigail cannot be a knight, because this would contradict the claim of Riley that Abigail is a knave.", "Assume Abigail is a knave. No contradiction is found in their false claim that Daniel is a knave.", "Scarlett cannot be a knight, because this would contradict the claim of Daniel that If Riley is a knight then Scarlett is a knave.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Sebastian is not a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Sebastian is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 1), ('lying', 3)), ('or', ('telling-truth', 5), ('lying', 5)), ('not', ('telling-truth', 4)), ('lying', 6), ('telling-truth', 4), ('->', ('telling-truth', 3), ('lying', 2)), ('lying', 5))", "index": 555}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Owen, Aiden, Evelyn, Jackson, Jack, Amelia, and Abigail. \"Aiden is a knight and Jack is a knight\" - Owen. Aiden noted, \"Owen is a knight if and only if Jack is a knight\". Evelyn expressed that If Owen is a knight then Jack is a knave. Jackson said that Abigail is a knave if and only if Aiden is a knight. As Jack put it, \"Evelyn is a knight if and only if Evelyn is a knave\". Amelia said that Jack is a knight or Jackson is a knave. In Abigail's words: \"If Jackson is a knave then Abigail is a knight\". So who is a knight and who is a knave?", "names": ["Owen", "Aiden", "Evelyn", "Jackson", "Jack", "Amelia", "Abigail"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false, false, true, true], "solution_text": "Owen is a knave, Aiden is a knight, Evelyn is a knight, Jackson is a knave, Jack is a knave, Amelia is a knight, and Abigail is a knight.", "solution_text_format": "(1) Owen is a knave\n(2) Aiden is a knight\n(3) Evelyn is a knight\n(4) Jackson is a knave\n(5) Jack is a knave\n(6) Amelia is a knight\n(7) Abigail is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Owen is a knight. No contradiction is found in their claim that Aiden is a knight and Jack is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that Owen is a knight if and only if Jack is a knight.", "Jack cannot be a knight, because this would contradict the claim of their own that Evelyn is a knight if and only if Evelyn is a knave.", "Jack cannot be a knave, because this would contradict the claim of Owen that Aiden is a knight and Jack is a knight.", "We have exhausted all possibilities for Jack, so let us go back and reconsider Aiden.", "Aiden cannot be a knave, because this would contradict the claim of Owen that Aiden is a knight and Jack is a knight.", "We have exhausted all possibilities for Aiden, so let us go back and reconsider Owen.", "Assume Owen is a knave. No contradiction is found in their false claim that Aiden is a knight and Jack is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that Owen is a knight if and only if Jack is a knight.", "Jack cannot be a knight, because this would contradict the false claim of Owen that Aiden is a knight and Jack is a knight.", "Assume Jack is a knave. No contradiction is found in their false claim that Evelyn is a knight if and only if Evelyn is a knave.", "Assume Evelyn is a knight. No contradiction is found in their claim that If Owen is a knight then Jack is a knave.", "Assume Jackson is a knight. No contradiction is found in their claim that Abigail is a knave if and only if Aiden is a knight.", "Abigail cannot be a knight, because this would contradict the claim of Jackson that Abigail is a knave if and only if Aiden is a knight.", "Abigail cannot be a knave, because this would contradict the false claim of their own that If Jackson is a knave then Abigail is a knight.", "We have exhausted all possibilities for Abigail, so let us go back and reconsider Jackson.", "Assume Jackson is a knave. No contradiction is found in their false claim that Abigail is a knave if and only if Aiden is a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that If Jackson is a knave then Abigail is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that Jack is a knight or Jackson is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('telling-truth', 4)), ('<=>', ('telling-truth', 0), ('telling-truth', 4)), ('->', ('telling-truth', 0), ('lying', 4)), ('<=>', ('lying', 6), ('telling-truth', 1)), ('<=>', ('telling-truth', 2), ('lying', 2)), ('or', ('telling-truth', 4), ('lying', 3)), ('->', ('lying', 3), ('telling-truth', 6)))", "index": 556}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Jacob, Benjamin, Olivia, Ethan, Aria, Alexander, and Aurora. In Jacob's words: \"Olivia is a knave or Jacob is a knight\". Benjamin noted, \"Benjamin is a knight if and only if Jacob is a knave\". Olivia commented, \"Alexander is not a knight\". \"Olivia is a knight and Aurora is a knight,\" Ethan declared. Aria noted, \"Olivia is a knave or Alexander is a knight\". Alexander was heard saying, \"Ethan is a knight if and only if Olivia is a knave\". \"Benjamin is a knight and Ethan is a knight\" - Aurora. So who is a knight and who is a knave?", "names": ["Jacob", "Benjamin", "Olivia", "Ethan", "Aria", "Alexander", "Aurora"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, false, false, true], "solution_text": "Jacob is a knave, Benjamin is a knight, Olivia is a knight, Ethan is a knight, Aria is a knave, Alexander is a knave, and Aurora is a knight.", "solution_text_format": "(1) Jacob is a knave\n(2) Benjamin is a knight\n(3) Olivia is a knight\n(4) Ethan is a knight\n(5) Aria is a knave\n(6) Alexander is a knave\n(7) Aurora is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jacob is a knight. No contradiction is found in their claim that Olivia is a knave or Jacob is a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that Alexander is not a knight.", "Alexander cannot be a knight, because this would contradict the claim of Olivia that Alexander is not a knight.", "Assume Alexander is a knave. No contradiction is found in their false claim that Ethan is a knight if and only if Olivia is a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that Olivia is a knight and Aurora is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that Benjamin is a knight and Ethan is a knight.", "Benjamin cannot be a knight, because this would contradict the claim of their own that Benjamin is a knight if and only if Jacob is a knave.", "Benjamin cannot be a knave, because this would contradict the false claim of their own that Benjamin is a knight if and only if Jacob is a knave.", "We have exhausted all possibilities for Benjamin, so let us go back and reconsider Aurora.", "Aurora cannot be a knave, because this would contradict the claim of Ethan that Olivia is a knight and Aurora is a knight.", "We have exhausted all possibilities for Aurora, so let us go back and reconsider Ethan.", "Ethan cannot be a knave, because this would contradict the false claim of Alexander that Ethan is a knight if and only if Olivia is a knave.", "We have exhausted all possibilities for Ethan and Alexander, so let us go back and reconsider Olivia.", "Assume Olivia is a knave. No contradiction is found in their false claim that Alexander is not a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that Ethan is a knight if and only if Olivia is a knave.", "Ethan cannot be a knight, because this would contradict the claim of their own that Olivia is a knight and Aurora is a knight.", "Ethan cannot be a knave, because this would contradict the claim of Alexander that Ethan is a knight if and only if Olivia is a knave.", "We have exhausted all possibilities for Ethan, so let us go back and reconsider Alexander.", "Alexander cannot be a knave, because this would contradict the false claim of Olivia that Alexander is not a knight.", "We have exhausted all possibilities for Alexander and Olivia, so let us go back and reconsider Jacob.", "Assume Jacob is a knave. No contradiction is found in their false claim that Olivia is a knave or Jacob is a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that Alexander is not a knight.", "Alexander cannot be a knight, because this would contradict the claim of Olivia that Alexander is not a knight.", "Assume Alexander is a knave. No contradiction is found in their false claim that Ethan is a knight if and only if Olivia is a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that Olivia is a knight and Aurora is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that Benjamin is a knight and Ethan is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that Benjamin is a knight if and only if Jacob is a knave.", "Aria cannot be a knight, because this would contradict the claim of their own that Olivia is a knave or Alexander is a knight.", "Assume Aria is a knave. No contradiction is found in their false claim that Olivia is a knave or Alexander is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 2), ('telling-truth', 0)), ('<=>', ('telling-truth', 1), ('lying', 0)), ('not', ('telling-truth', 5)), ('and', ('telling-truth', 2), ('telling-truth', 6)), ('or', ('lying', 2), ('telling-truth', 5)), ('<=>', ('telling-truth', 3), ('lying', 2)), ('and', ('telling-truth', 1), ('telling-truth', 3)))", "index": 557}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Scarlett, Lucas, Isabella, Jack, Emma, James, and Daniel. Scarlett told you that Jack is not a knight. Lucas was heard saying, \"Jack is a knave\". In a statement by Isabella: \"If Emma is a knight then Daniel is a knight\". \"Lucas is a knight and Lucas is a knave\" - Jack. Emma said, \"James is a knight.\" James commented, \"Daniel is a knight\". Daniel asserted: \"Jack is a knight or Scarlett is a knave\". So who is a knight and who is a knave?", "names": ["Scarlett", "Lucas", "Isabella", "Jack", "Emma", "James", "Daniel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false, false, false, false], "solution_text": "Scarlett is a knight, Lucas is a knight, Isabella is a knight, Jack is a knave, Emma is a knave, James is a knave, and Daniel is a knave.", "solution_text_format": "(1) Scarlett is a knight\n(2) Lucas is a knight\n(3) Isabella is a knight\n(4) Jack is a knave\n(5) Emma is a knave\n(6) James is a knave\n(7) Daniel is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Scarlett is a knight. No contradiction is found in their claim that Jack is not a knight.", "Jack cannot be a knight, because this would contradict the claim of Scarlett that Jack is not a knight.", "Assume Jack is a knave. No contradiction is found in their false claim that Lucas is a knight and Lucas is a knave.", "Assume Lucas is a knight. No contradiction is found in their claim that Jack is a knave.", "Assume Isabella is a knight. No contradiction is found in their claim that If Emma is a knight then Daniel is a knight.", "Assume Emma is a knight. No contradiction is found in their claim that James is a knight.", "Assume James is a knight. No contradiction is found in their claim that Daniel is a knight.", "Daniel cannot be a knight, because this would contradict the claim of their own that Jack is a knight or Scarlett is a knave.", "Daniel cannot be a knave, because this would contradict the claim of Isabella that If Emma is a knight then Daniel is a knight.", "We have exhausted all possibilities for Daniel, so let us go back and reconsider James.", "James cannot be a knave, because this would contradict the claim of Emma that James is a knight.", "We have exhausted all possibilities for James, so let us go back and reconsider Emma.", "Assume Emma is a knave. No contradiction is found in their false claim that James is a knight.", "James cannot be a knight, because this would contradict the false claim of Emma that James is a knight.", "Assume James is a knave. No contradiction is found in their false claim that Daniel is a knight.", "Daniel cannot be a knight, because this would contradict the false claim of James that Daniel is a knight.", "Assume Daniel is a knave. No contradiction is found in their false claim that Jack is a knight or Scarlett is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 3)), ('lying', 3), ('->', ('telling-truth', 4), ('telling-truth', 6)), ('and', ('telling-truth', 1), ('lying', 1)), ('telling-truth', 5), ('telling-truth', 6), ('or', ('telling-truth', 3), ('lying', 0)))", "index": 558}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Elizabeth, Sofia, Aurora, Ella, Sebastian, Aiden, and Amelia. \"Aiden is a knight or Ella is a knave,\" Elizabeth claimed. \"Sebastian is a knave,\" Sofia claimed. Aurora said, \"Sofia is a knight if and only if Elizabeth is a knight.\" Ella expressed that Amelia is a knight and Sofia is a knave. Sebastian asserted: \"Aurora is a knave if and only if Amelia is a knight\". Aiden remarked, \"Sofia is a knight and Amelia is a knave\". Amelia told you that Sebastian is a knave. So who is a knight and who is a knave?", "names": ["Elizabeth", "Sofia", "Aurora", "Ella", "Sebastian", "Aiden", "Amelia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false, false, false, true], "solution_text": "Elizabeth is a knight, Sofia is a knight, Aurora is a knight, Ella is a knave, Sebastian is a knave, Aiden is a knave, and Amelia is a knight.", "solution_text_format": "(1) Elizabeth is a knight\n(2) Sofia is a knight\n(3) Aurora is a knight\n(4) Ella is a knave\n(5) Sebastian is a knave\n(6) Aiden is a knave\n(7) Amelia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Elizabeth is a knight. No contradiction is found in their claim that Aiden is a knight or Ella is a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that Sofia is a knight and Amelia is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that Sebastian is a knave.", "Sebastian cannot be a knight, because this would contradict the claim of Sofia that Sebastian is a knave.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Aurora is a knave if and only if Amelia is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that Sofia is a knight if and only if Elizabeth is a knight.", "Amelia cannot be a knight, because this would contradict the claim of Aiden that Sofia is a knight and Amelia is a knave.", "Amelia cannot be a knave, because this would contradict the false claim of Sebastian that Aurora is a knave if and only if Amelia is a knight.", "We have exhausted all possibilities for Amelia, so let us go back and reconsider Aurora.", "Aurora cannot be a knave, because this would contradict the false claim of their own that Sofia is a knight if and only if Elizabeth is a knight.", "We have exhausted all possibilities for Aurora and Sebastian, so let us go back and reconsider Sofia.", "Sofia cannot be a knave, because this would contradict the claim of Aiden that Sofia is a knight and Amelia is a knave.", "We have exhausted all possibilities for Sofia, so let us go back and reconsider Aiden.", "Assume Aiden is a knave. No contradiction is found in their false claim that Sofia is a knight and Amelia is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that Sebastian is a knave.", "Sebastian cannot be a knight, because this would contradict the claim of Sofia that Sebastian is a knave.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Aurora is a knave if and only if Amelia is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that Sofia is a knight if and only if Elizabeth is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that Sebastian is a knave.", "Ella cannot be a knight, because this would contradict the claim of Elizabeth that Aiden is a knight or Ella is a knave.", "Assume Ella is a knave. No contradiction is found in their false claim that Amelia is a knight and Sofia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 5), ('lying', 3)), ('lying', 4), ('<=>', ('telling-truth', 1), ('telling-truth', 0)), ('and', ('telling-truth', 6), ('lying', 1)), ('<=>', ('lying', 2), ('telling-truth', 6)), ('and', ('telling-truth', 1), ('lying', 6)), ('lying', 4))", "index": 559}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Riley, Samuel, Jackson, Olivia, James, Sebastian, and Benjamin. \"James is a knight,\" Riley declared. Samuel asserted: \"James is a knight or James is a knave\". Jackson expressed that Sebastian is not a knight. According to Olivia, \"If Samuel is a knave then Benjamin is a knave\". James remarked, \"Olivia is not a knight\". Sebastian told you that Benjamin is not a knight. Benjamin was heard saying, \"Olivia is a knave or Samuel is a knave\". So who is a knight and who is a knave?", "names": ["Riley", "Samuel", "Jackson", "Olivia", "James", "Sebastian", "Benjamin"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true, false, true, false], "solution_text": "Riley is a knave, Samuel is a knight, Jackson is a knave, Olivia is a knight, James is a knave, Sebastian is a knight, and Benjamin is a knave.", "solution_text_format": "(1) Riley is a knave\n(2) Samuel is a knight\n(3) Jackson is a knave\n(4) Olivia is a knight\n(5) James is a knave\n(6) Sebastian is a knight\n(7) Benjamin is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Riley is a knight. No contradiction is found in their claim that James is a knight.", "Assume James is a knight. No contradiction is found in their claim that Olivia is not a knight.", "Olivia cannot be a knight, because this would contradict the claim of James that Olivia is not a knight.", "Assume Olivia is a knave. No contradiction is found in their false claim that If Samuel is a knave then Benjamin is a knave.", "Samuel cannot be a knight, because this would contradict the false claim of Olivia that If Samuel is a knave then Benjamin is a knave.", "Samuel cannot be a knave, because this would contradict the false claim of their own that James is a knight or James is a knave.", "We have exhausted all possibilities for Samuel and Olivia, so let us go back and reconsider James.", "James cannot be a knave, because this would contradict the claim of Riley that James is a knight.", "We have exhausted all possibilities for James, so let us go back and reconsider Riley.", "Assume Riley is a knave. No contradiction is found in their false claim that James is a knight.", "James cannot be a knight, because this would contradict the false claim of Riley that James is a knight.", "Assume James is a knave. No contradiction is found in their false claim that Olivia is not a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that If Samuel is a knave then Benjamin is a knave.", "Assume Samuel is a knight. No contradiction is found in their claim that James is a knight or James is a knave.", "Benjamin cannot be a knight, because this would contradict the claim of their own that Olivia is a knave or Samuel is a knave.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Olivia is a knave or Samuel is a knave.", "Assume Jackson is a knight. No contradiction is found in their claim that Sebastian is not a knight.", "Sebastian cannot be a knight, because this would contradict the claim of Jackson that Sebastian is not a knight.", "Sebastian cannot be a knave, because this would contradict the false claim of their own that Benjamin is not a knight.", "We have exhausted all possibilities for Sebastian, so let us go back and reconsider Jackson.", "Assume Jackson is a knave. No contradiction is found in their false claim that Sebastian is not a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Benjamin is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 4), ('or', ('telling-truth', 4), ('lying', 4)), ('not', ('telling-truth', 5)), ('->', ('lying', 1), ('lying', 6)), ('not', ('telling-truth', 3)), ('not', ('telling-truth', 6)), ('or', ('lying', 3), ('lying', 1)))", "index": 560}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: William, Mia, Sebastian, Oliver, Michael, Matthew, and Lucas. \"Michael is a knave or Matthew is a knave,\" William mentioned. In Mia's words: \"Matthew is not a knave\". \"If Mia is a knight then Michael is a knight\" - Sebastian. Oliver stated, \"If Michael is a knight then Sebastian is a knave\". Michael commented, \"Oliver is a knave\". \"Oliver is a knight if and only if Sebastian is a knight\" - Matthew. According to Lucas, \"Oliver is a knave and Sebastian is a knave\". So who is a knight and who is a knave?", "names": ["William", "Mia", "Sebastian", "Oliver", "Michael", "Matthew", "Lucas"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false, true, false, false], "solution_text": "William is a knight, Mia is a knave, Sebastian is a knight, Oliver is a knave, Michael is a knight, Matthew is a knave, and Lucas is a knave.", "solution_text_format": "(1) William is a knight\n(2) Mia is a knave\n(3) Sebastian is a knight\n(4) Oliver is a knave\n(5) Michael is a knight\n(6) Matthew is a knave\n(7) Lucas is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume William is a knight. No contradiction is found in their claim that Michael is a knave or Matthew is a knave.", "Assume Michael is a knight. No contradiction is found in their claim that Oliver is a knave.", "Oliver cannot be a knight, because this would contradict the claim of Michael that Oliver is a knave.", "Assume Oliver is a knave. No contradiction is found in their false claim that If Michael is a knight then Sebastian is a knave.", "Assume Sebastian is a knight. No contradiction is found in their claim that If Mia is a knight then Michael is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that Matthew is not a knave.", "Matthew cannot be a knight, because this would contradict the claim of William that Michael is a knave or Matthew is a knave.", "Matthew cannot be a knave, because this would contradict the claim of Mia that Matthew is not a knave.", "We have exhausted all possibilities for Matthew, so let us go back and reconsider Mia.", "Assume Mia is a knave. No contradiction is found in their false claim that Matthew is not a knave.", "Matthew cannot be a knight, because this would contradict the claim of William that Michael is a knave or Matthew is a knave.", "Assume Matthew is a knave. No contradiction is found in their false claim that Oliver is a knight if and only if Sebastian is a knight.", "Lucas cannot be a knight, because this would contradict the claim of their own that Oliver is a knave and Sebastian is a knave.", "Assume Lucas is a knave. No contradiction is found in their false claim that Oliver is a knave and Sebastian is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 4), ('lying', 5)), ('not', ('lying', 5)), ('->', ('telling-truth', 1), ('telling-truth', 4)), ('->', ('telling-truth', 4), ('lying', 2)), ('lying', 3), ('<=>', ('telling-truth', 3), ('telling-truth', 2)), ('and', ('lying', 3), ('lying', 2)))", "index": 561}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Elizabeth, Liam, Luke, Grace, Henry, Sebastian, and Jack. \"Luke is a knight,\" Elizabeth declared. Liam was heard saying, \"Elizabeth is a knight if and only if Grace is a knight\". In a statement by Luke: \"Sebastian is not a knight\". Grace told you that Luke is a knight. Henry commented, \"Elizabeth is a knave or Grace is a knight\". According to Sebastian, \"Luke is a knight and Liam is a knave\". According to Jack, \"Liam is not a knave\". So who is a knight and who is a knave?", "names": ["Elizabeth", "Liam", "Luke", "Grace", "Henry", "Sebastian", "Jack"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, true, false, true], "solution_text": "Elizabeth is a knight, Liam is a knight, Luke is a knight, Grace is a knight, Henry is a knight, Sebastian is a knave, and Jack is a knight.", "solution_text_format": "(1) Elizabeth is a knight\n(2) Liam is a knight\n(3) Luke is a knight\n(4) Grace is a knight\n(5) Henry is a knight\n(6) Sebastian is a knave\n(7) Jack is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Elizabeth is a knight. No contradiction is found in their claim that Luke is a knight.", "Assume Luke is a knight. No contradiction is found in their claim that Sebastian is not a knight.", "Sebastian cannot be a knight, because this would contradict the claim of Luke that Sebastian is not a knight.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Luke is a knight and Liam is a knave.", "Assume Liam is a knight. No contradiction is found in their claim that Elizabeth is a knight if and only if Grace is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that Luke is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that Elizabeth is a knave or Grace is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that Liam is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 2), ('<=>', ('telling-truth', 0), ('telling-truth', 3)), ('not', ('telling-truth', 5)), ('telling-truth', 2), ('or', ('lying', 0), ('telling-truth', 3)), ('and', ('telling-truth', 2), ('lying', 1)), ('not', ('lying', 1)))", "index": 562}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Emily, Aiden, Riley, Lucas, Jack, Alexander, and Matthew. \"Riley is a knave if and only if Lucas is a knave\" - Emily. \"Jack is a knight if and only if Alexander is a knight,\" Aiden mentioned. In Riley's words: \"Matthew is a knave if and only if Alexander is a knight\". Lucas said that Matthew is a knight. Jack noted, \"Lucas is not a knave\". \"Matthew is not a knight,\" Alexander claimed. Matthew said, \"Lucas is a knave or Emily is a knight.\" So who is a knight and who is a knave?", "names": ["Emily", "Aiden", "Riley", "Lucas", "Jack", "Alexander", "Matthew"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, true, false, true], "solution_text": "Emily is a knight, Aiden is a knave, Riley is a knight, Lucas is a knight, Jack is a knight, Alexander is a knave, and Matthew is a knight.", "solution_text_format": "(1) Emily is a knight\n(2) Aiden is a knave\n(3) Riley is a knight\n(4) Lucas is a knight\n(5) Jack is a knight\n(6) Alexander is a knave\n(7) Matthew is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Emily is a knight. No contradiction is found in their claim that Riley is a knave if and only if Lucas is a knave.", "Assume Riley is a knight. No contradiction is found in their claim that Matthew is a knave if and only if Alexander is a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that Lucas is a knave or Emily is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that Matthew is a knight.", "Alexander cannot be a knight, because this would contradict the claim of Riley that Matthew is a knave if and only if Alexander is a knight.", "Assume Alexander is a knave. No contradiction is found in their false claim that Matthew is not a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that Jack is a knight if and only if Alexander is a knight.", "Jack cannot be a knight, because this would contradict the claim of Aiden that Jack is a knight if and only if Alexander is a knight.", "Jack cannot be a knave, because this would contradict the false claim of their own that Lucas is not a knave.", "We have exhausted all possibilities for Jack, so let us go back and reconsider Aiden.", "Assume Aiden is a knave. No contradiction is found in their false claim that Jack is a knight if and only if Alexander is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that Lucas is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 2), ('lying', 3)), ('<=>', ('telling-truth', 4), ('telling-truth', 5)), ('<=>', ('lying', 6), ('telling-truth', 5)), ('telling-truth', 6), ('not', ('lying', 3)), ('not', ('telling-truth', 6)), ('or', ('lying', 3), ('telling-truth', 0)))", "index": 563}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Emily, Owen, Jacob, Logan, Matthew, William, and Abigail. \"Abigail is a knight and Abigail is a knave,\" Emily declared. Owen remarked, \"Jacob is a knight if and only if Matthew is a knave\". As Jacob put it, \"Abigail is a knave if and only if Matthew is a knave\". In a statement by Logan: \"If Emily is a knave then Abigail is a knight\". Matthew asserted: \"William is a knight\". \"If Jacob is a knave then Matthew is a knave,\" William declared. Abigail was heard saying, \"Jacob is a knight or Abigail is a knight\". So who is a knight and who is a knave?", "names": ["Emily", "Owen", "Jacob", "Logan", "Matthew", "William", "Abigail"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true, true, true, true], "solution_text": "Emily is a knave, Owen is a knave, Jacob is a knight, Logan is a knight, Matthew is a knight, William is a knight, and Abigail is a knight.", "solution_text_format": "(1) Emily is a knave\n(2) Owen is a knave\n(3) Jacob is a knight\n(4) Logan is a knight\n(5) Matthew is a knight\n(6) William is a knight\n(7) Abigail is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Emily cannot be a knight, because this would contradict the claim of their own that Abigail is a knight and Abigail is a knave.", "Assume Emily is a knave. No contradiction is found in their false claim that Abigail is a knight and Abigail is a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that Jacob is a knight or Abigail is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that Abigail is a knave if and only if Matthew is a knave.", "Assume Matthew is a knight. No contradiction is found in their claim that William is a knight.", "Assume William is a knight. No contradiction is found in their claim that If Jacob is a knave then Matthew is a knave.", "Owen cannot be a knight, because this would contradict the claim of their own that Jacob is a knight if and only if Matthew is a knave.", "Assume Owen is a knave. No contradiction is found in their false claim that Jacob is a knight if and only if Matthew is a knave.", "Assume Logan is a knight. No contradiction is found in their claim that If Emily is a knave then Abigail is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 6), ('lying', 6)), ('<=>', ('telling-truth', 2), ('lying', 4)), ('<=>', ('lying', 6), ('lying', 4)), ('->', ('lying', 0), ('telling-truth', 6)), ('telling-truth', 5), ('->', ('lying', 2), ('lying', 4)), ('or', ('telling-truth', 2), ('telling-truth', 6)))", "index": 564}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Luke, Mia, David, Sofia, Aiden, Emily, and Jackson. In a statement by Luke: \"Mia is not a knave\". \"Emily is a knight or Jackson is a knave,\" Mia mentioned. David told you that Jackson is not a knight. Sofia was heard saying, \"Luke is a knave and Emily is a knight\". Aiden noted, \"David is not a knight\". As Emily put it, \"If Aiden is a knave then Jackson is a knave\". Jackson said that Aiden is a knight or Sofia is a knave. So who is a knight and who is a knave?", "names": ["Luke", "Mia", "David", "Sofia", "Aiden", "Emily", "Jackson"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false, true, true, true], "solution_text": "Luke is a knight, Mia is a knight, David is a knave, Sofia is a knave, Aiden is a knight, Emily is a knight, and Jackson is a knight.", "solution_text_format": "(1) Luke is a knight\n(2) Mia is a knight\n(3) David is a knave\n(4) Sofia is a knave\n(5) Aiden is a knight\n(6) Emily is a knight\n(7) Jackson is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Luke is a knight. No contradiction is found in their claim that Mia is not a knave.", "Assume Mia is a knight. No contradiction is found in their claim that Emily is a knight or Jackson is a knave.", "Assume Emily is a knight. No contradiction is found in their claim that If Aiden is a knave then Jackson is a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that David is not a knight.", "David cannot be a knight, because this would contradict the claim of Aiden that David is not a knight.", "Assume David is a knave. No contradiction is found in their false claim that Jackson is not a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that Aiden is a knight or Sofia is a knave.", "Sofia cannot be a knight, because this would contradict the claim of their own that Luke is a knave and Emily is a knight.", "Assume Sofia is a knave. No contradiction is found in their false claim that Luke is a knave and Emily is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 1)), ('or', ('telling-truth', 5), ('lying', 6)), ('not', ('telling-truth', 6)), ('and', ('lying', 0), ('telling-truth', 5)), ('not', ('telling-truth', 2)), ('->', ('lying', 4), ('lying', 6)), ('or', ('telling-truth', 4), ('lying', 3)))", "index": 565}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Matthew, Riley, Grace, Zoey, Sofia, Elizabeth, and Daniel. Matthew said that If Elizabeth is a knave then Riley is a knave. According to Riley, \"If Zoey is a knave then Elizabeth is a knight\". In Grace's words: \"Sofia is a knight if and only if Daniel is a knight\". \"Sofia is a knave or Elizabeth is a knave,\" Zoey claimed. \"If Zoey is a knight then Grace is a knave,\" Sofia mentioned. Elizabeth said, \"Grace is a knave and Grace is a knight.\" \"Grace is a knight,\" Daniel mentioned. So who is a knight and who is a knave?", "names": ["Matthew", "Riley", "Grace", "Zoey", "Sofia", "Elizabeth", "Daniel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true, true, false, false], "solution_text": "Matthew is a knave, Riley is a knight, Grace is a knave, Zoey is a knight, Sofia is a knight, Elizabeth is a knave, and Daniel is a knave.", "solution_text_format": "(1) Matthew is a knave\n(2) Riley is a knight\n(3) Grace is a knave\n(4) Zoey is a knight\n(5) Sofia is a knight\n(6) Elizabeth is a knave\n(7) Daniel is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Matthew is a knight. No contradiction is found in their claim that If Elizabeth is a knave then Riley is a knave.", "Elizabeth cannot be a knight, because this would contradict the claim of their own that Grace is a knave and Grace is a knight.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Grace is a knave and Grace is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that Sofia is a knight if and only if Daniel is a knight.", "Assume Sofia is a knight. No contradiction is found in their claim that If Zoey is a knight then Grace is a knave.", "Zoey cannot be a knight, because this would contradict the claim of Sofia that If Zoey is a knight then Grace is a knave.", "Zoey cannot be a knave, because this would contradict the false claim of their own that Sofia is a knave or Elizabeth is a knave.", "We have exhausted all possibilities for Zoey, so let us go back and reconsider Sofia.", "Assume Sofia is a knave. No contradiction is found in their false claim that If Zoey is a knight then Grace is a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that Sofia is a knave or Elizabeth is a knave.", "Daniel cannot be a knight, because this would contradict the claim of Grace that Sofia is a knight if and only if Daniel is a knight.", "Daniel cannot be a knave, because this would contradict the false claim of their own that Grace is a knight.", "We have exhausted all possibilities for Daniel, so let us go back and reconsider Zoey.", "Zoey cannot be a knave, because this would contradict the false claim of their own that Sofia is a knave or Elizabeth is a knave.", "We have exhausted all possibilities for Zoey and Sofia, so let us go back and reconsider Grace.", "Assume Grace is a knave. No contradiction is found in their false claim that Sofia is a knight if and only if Daniel is a knight.", "Assume Sofia is a knight. No contradiction is found in their claim that If Zoey is a knight then Grace is a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that Sofia is a knave or Elizabeth is a knave.", "Daniel cannot be a knight, because this would contradict the false claim of Grace that Sofia is a knight if and only if Daniel is a knight.", "Assume Daniel is a knave. No contradiction is found in their false claim that Grace is a knight.", "Riley cannot be a knight, because this would contradict the claim of Matthew that If Elizabeth is a knave then Riley is a knave.", "Riley cannot be a knave, because this would contradict the false claim of their own that If Zoey is a knave then Elizabeth is a knight.", "We have exhausted all possibilities for Riley and Daniel, so let us go back and reconsider Zoey.", "Zoey cannot be a knave, because this would contradict the false claim of their own that Sofia is a knave or Elizabeth is a knave.", "We have exhausted all possibilities for Zoey, so let us go back and reconsider Sofia.", "Sofia cannot be a knave, because this would contradict the false claim of their own that If Zoey is a knight then Grace is a knave.", "We have exhausted all possibilities for Sofia, Grace, and Elizabeth, so let us go back and reconsider Matthew.", "Assume Matthew is a knave. No contradiction is found in their false claim that If Elizabeth is a knave then Riley is a knave.", "Elizabeth cannot be a knight, because this would contradict the false claim of Matthew that If Elizabeth is a knave then Riley is a knave.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Grace is a knave and Grace is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that Sofia is a knight if and only if Daniel is a knight.", "Assume Sofia is a knight. No contradiction is found in their claim that If Zoey is a knight then Grace is a knave.", "Zoey cannot be a knight, because this would contradict the claim of Sofia that If Zoey is a knight then Grace is a knave.", "Zoey cannot be a knave, because this would contradict the false claim of their own that Sofia is a knave or Elizabeth is a knave.", "We have exhausted all possibilities for Zoey, so let us go back and reconsider Sofia.", "Assume Sofia is a knave. No contradiction is found in their false claim that If Zoey is a knight then Grace is a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that Sofia is a knave or Elizabeth is a knave.", "Daniel cannot be a knight, because this would contradict the claim of Grace that Sofia is a knight if and only if Daniel is a knight.", "Daniel cannot be a knave, because this would contradict the false claim of their own that Grace is a knight.", "We have exhausted all possibilities for Daniel, so let us go back and reconsider Zoey.", "Zoey cannot be a knave, because this would contradict the false claim of their own that Sofia is a knave or Elizabeth is a knave.", "We have exhausted all possibilities for Zoey and Sofia, so let us go back and reconsider Grace.", "Assume Grace is a knave. No contradiction is found in their false claim that Sofia is a knight if and only if Daniel is a knight.", "Assume Sofia is a knight. No contradiction is found in their claim that If Zoey is a knight then Grace is a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that Sofia is a knave or Elizabeth is a knave.", "Daniel cannot be a knight, because this would contradict the false claim of Grace that Sofia is a knight if and only if Daniel is a knight.", "Assume Daniel is a knave. No contradiction is found in their false claim that Grace is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that If Zoey is a knave then Elizabeth is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 5), ('lying', 1)), ('->', ('lying', 3), ('telling-truth', 5)), ('<=>', ('telling-truth', 4), ('telling-truth', 6)), ('or', ('lying', 4), ('lying', 5)), ('->', ('telling-truth', 3), ('lying', 2)), ('and', ('lying', 2), ('telling-truth', 2)), ('telling-truth', 2))", "index": 566}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Noah, Jackson, Jacob, Michael, Penelope, Mason, and Victoria. In Noah's words: \"If Penelope is a knave then Michael is a knight\". In a statement by Jackson: \"If Jacob is a knave then Noah is a knight\". According to Jacob, \"Noah is a knight and Victoria is a knight\". In Michael's words: \"Jacob is not a knave\". Penelope stated, \"Victoria is not a knight\". Mason was heard saying, \"Victoria is a knave and Noah is a knave\". \"Michael is a knave,\" Victoria claimed. So who is a knight and who is a knave?", "names": ["Noah", "Jackson", "Jacob", "Michael", "Penelope", "Mason", "Victoria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, false, false, false, true], "solution_text": "Noah is a knave, Jackson is a knave, Jacob is a knave, Michael is a knave, Penelope is a knave, Mason is a knave, and Victoria is a knight.", "solution_text_format": "(1) Noah is a knave\n(2) Jackson is a knave\n(3) Jacob is a knave\n(4) Michael is a knave\n(5) Penelope is a knave\n(6) Mason is a knave\n(7) Victoria is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Noah is a knight. No contradiction is found in their claim that If Penelope is a knave then Michael is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that Victoria is not a knight.", "Victoria cannot be a knight, because this would contradict the claim of Penelope that Victoria is not a knight.", "Assume Victoria is a knave. No contradiction is found in their false claim that Michael is a knave.", "Assume Michael is a knight. No contradiction is found in their claim that Jacob is not a knave.", "Jacob cannot be a knight, because this would contradict the claim of their own that Noah is a knight and Victoria is a knight.", "Jacob cannot be a knave, because this would contradict the claim of Michael that Jacob is not a knave.", "We have exhausted all possibilities for Jacob, so let us go back and reconsider Michael.", "Michael cannot be a knave, because this would contradict the false claim of Victoria that Michael is a knave.", "We have exhausted all possibilities for Michael and Victoria, so let us go back and reconsider Penelope.", "Assume Penelope is a knave. No contradiction is found in their false claim that Victoria is not a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that Michael is a knave.", "Michael cannot be a knight, because this would contradict the claim of Victoria that Michael is a knave.", "Michael cannot be a knave, because this would contradict the claim of Noah that If Penelope is a knave then Michael is a knight.", "We have exhausted all possibilities for Michael, so let us go back and reconsider Victoria.", "Victoria cannot be a knave, because this would contradict the false claim of Penelope that Victoria is not a knight.", "We have exhausted all possibilities for Victoria and Penelope, so let us go back and reconsider Noah.", "Assume Noah is a knave. No contradiction is found in their false claim that If Penelope is a knave then Michael is a knight.", "Penelope cannot be a knight, because this would contradict the false claim of Noah that If Penelope is a knave then Michael is a knight.", "Assume Penelope is a knave. No contradiction is found in their false claim that Victoria is not a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that Michael is a knave.", "Michael cannot be a knight, because this would contradict the false claim of Noah that If Penelope is a knave then Michael is a knight.", "Assume Michael is a knave. No contradiction is found in their false claim that Jacob is not a knave.", "Jacob cannot be a knight, because this would contradict the claim of their own that Noah is a knight and Victoria is a knight.", "Assume Jacob is a knave. No contradiction is found in their false claim that Noah is a knight and Victoria is a knight.", "Jackson cannot be a knight, because this would contradict the claim of their own that If Jacob is a knave then Noah is a knight.", "Assume Jackson is a knave. No contradiction is found in their false claim that If Jacob is a knave then Noah is a knight.", "Mason cannot be a knight, because this would contradict the claim of their own that Victoria is a knave and Noah is a knave.", "Assume Mason is a knave. No contradiction is found in their false claim that Victoria is a knave and Noah is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 4), ('telling-truth', 3)), ('->', ('lying', 2), ('telling-truth', 0)), ('and', ('telling-truth', 0), ('telling-truth', 6)), ('not', ('lying', 2)), ('not', ('telling-truth', 6)), ('and', ('lying', 6), ('lying', 0)), ('lying', 3))", "index": 567}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Logan, Jack, Joseph, Owen, Mia, Olivia, and Emily. Logan stated, \"Mia is a knave\". Jack noted, \"Olivia is not a knight\". \"Owen is a knight\" - Joseph. Owen asserted: \"Logan is a knave or Emily is a knight\". Mia expressed that Joseph is a knave. Olivia told you that Joseph is not a knight. Emily said that Mia is not a knight. So who is a knight and who is a knave?", "names": ["Logan", "Jack", "Joseph", "Owen", "Mia", "Olivia", "Emily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, false, false, true], "solution_text": "Logan is a knight, Jack is a knight, Joseph is a knight, Owen is a knight, Mia is a knave, Olivia is a knave, and Emily is a knight.", "solution_text_format": "(1) Logan is a knight\n(2) Jack is a knight\n(3) Joseph is a knight\n(4) Owen is a knight\n(5) Mia is a knave\n(6) Olivia is a knave\n(7) Emily is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Logan is a knight. No contradiction is found in their claim that Mia is a knave.", "Mia cannot be a knight, because this would contradict the claim of Logan that Mia is a knave.", "Assume Mia is a knave. No contradiction is found in their false claim that Joseph is a knave.", "Assume Joseph is a knight. No contradiction is found in their claim that Owen is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that Logan is a knave or Emily is a knight.", "Assume Emily is a knight. No contradiction is found in their claim that Mia is not a knight.", "Assume Jack is a knight. No contradiction is found in their claim that Olivia is not a knight.", "Olivia cannot be a knight, because this would contradict the claim of Jack that Olivia is not a knight.", "Assume Olivia is a knave. No contradiction is found in their false claim that Joseph is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 4), ('not', ('telling-truth', 5)), ('telling-truth', 3), ('or', ('lying', 0), ('telling-truth', 6)), ('lying', 2), ('not', ('telling-truth', 2)), ('not', ('telling-truth', 4)))", "index": 568}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Ella, Chloe, Grace, Emily, Ava, Joseph, and Alexander. Ella remarked, \"Joseph is a knave\". Chloe commented, \"Ava is a knave and Grace is a knight\". Grace noted, \"Ella is a knave if and only if Alexander is a knight\". \"If Alexander is a knight then Ella is a knight\" - Emily. In a statement by Ava: \"If Chloe is a knave then Alexander is a knight\". \"Ella is a knight or Ava is a knight,\" Joseph claimed. Alexander commented, \"If Alexander is a knight then Ava is a knight\". So who is a knight and who is a knave?", "names": ["Ella", "Chloe", "Grace", "Emily", "Ava", "Joseph", "Alexander"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false, true, true, true], "solution_text": "Ella is a knave, Chloe is a knave, Grace is a knight, Emily is a knave, Ava is a knight, Joseph is a knight, and Alexander is a knight.", "solution_text_format": "(1) Ella is a knave\n(2) Chloe is a knave\n(3) Grace is a knight\n(4) Emily is a knave\n(5) Ava is a knight\n(6) Joseph is a knight\n(7) Alexander is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ella is a knight. No contradiction is found in their claim that Joseph is a knave.", "Joseph cannot be a knight, because this would contradict the claim of Ella that Joseph is a knave.", "Joseph cannot be a knave, because this would contradict the false claim of their own that Ella is a knight or Ava is a knight.", "We have exhausted all possibilities for Joseph, so let us go back and reconsider Ella.", "Assume Ella is a knave. No contradiction is found in their false claim that Joseph is a knave.", "Assume Joseph is a knight. No contradiction is found in their claim that Ella is a knight or Ava is a knight.", "Assume Ava is a knight. No contradiction is found in their claim that If Chloe is a knave then Alexander is a knight.", "Chloe cannot be a knight, because this would contradict the claim of their own that Ava is a knave and Grace is a knight.", "Assume Chloe is a knave. No contradiction is found in their false claim that Ava is a knave and Grace is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that Ella is a knave if and only if Alexander is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that If Alexander is a knight then Ava is a knight.", "Emily cannot be a knight, because this would contradict the claim of their own that If Alexander is a knight then Ella is a knight.", "Assume Emily is a knave. No contradiction is found in their false claim that If Alexander is a knight then Ella is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 5), ('and', ('lying', 4), ('telling-truth', 2)), ('<=>', ('lying', 0), ('telling-truth', 6)), ('->', ('telling-truth', 6), ('telling-truth', 0)), ('->', ('lying', 1), ('telling-truth', 6)), ('or', ('telling-truth', 0), ('telling-truth', 4)), ('->', ('telling-truth', 6), ('telling-truth', 4)))", "index": 569}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Riley, Emily, James, Ethan, Aria, Logan, and Zoey. In a statement by Riley: \"Ethan is a knave if and only if James is a knight\". Emily remarked, \"If James is a knight then Zoey is a knight\". James was heard saying, \"Logan is a knave\". Ethan told you that If Zoey is a knave then Aria is a knave. In a statement by Aria: \"Riley is a knave and James is a knight\". Logan commented, \"If Zoey is a knave then Ethan is a knight\". In Zoey's words: \"Aria is a knave\". So who is a knight and who is a knave?", "names": ["Riley", "Emily", "James", "Ethan", "Aria", "Logan", "Zoey"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true, false, true, true], "solution_text": "Riley is a knight, Emily is a knight, James is a knave, Ethan is a knight, Aria is a knave, Logan is a knight, and Zoey is a knight.", "solution_text_format": "(1) Riley is a knight\n(2) Emily is a knight\n(3) James is a knave\n(4) Ethan is a knight\n(5) Aria is a knave\n(6) Logan is a knight\n(7) Zoey is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Riley is a knight. No contradiction is found in their claim that Ethan is a knave if and only if James is a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that If Zoey is a knave then Aria is a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that Aria is a knave.", "Aria cannot be a knight, because this would contradict the claim of their own that Riley is a knave and James is a knight.", "Assume Aria is a knave. No contradiction is found in their false claim that Riley is a knave and James is a knight.", "James cannot be a knight, because this would contradict the claim of Riley that Ethan is a knave if and only if James is a knight.", "Assume James is a knave. No contradiction is found in their false claim that Logan is a knave.", "Assume Logan is a knight. No contradiction is found in their claim that If Zoey is a knave then Ethan is a knight.", "Assume Emily is a knight. No contradiction is found in their claim that If James is a knight then Zoey is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 3), ('telling-truth', 2)), ('->', ('telling-truth', 2), ('telling-truth', 6)), ('lying', 5), ('->', ('lying', 6), ('lying', 4)), ('and', ('lying', 0), ('telling-truth', 2)), ('->', ('lying', 6), ('telling-truth', 3)), ('lying', 4))", "index": 570}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Riley, Jacob, Aria, Chloe, William, Lucas, and Olivia. Riley remarked, \"William is a knave if and only if Aria is a knave\". In Jacob's words: \"Aria is a knave and William is a knight\". Aria said, \"Chloe is not a knave.\" Chloe remarked, \"If William is a knave then Jacob is a knight\". William told you that Lucas is a knave or Chloe is a knave. \"Aria is a knave and William is a knight,\" Lucas declared. In a statement by Olivia: \"Aria is a knight or William is a knight\". So who is a knight and who is a knave?", "names": ["Riley", "Jacob", "Aria", "Chloe", "William", "Lucas", "Olivia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, true, false, true], "solution_text": "Riley is a knight, Jacob is a knave, Aria is a knight, Chloe is a knight, William is a knight, Lucas is a knave, and Olivia is a knight.", "solution_text_format": "(1) Riley is a knight\n(2) Jacob is a knave\n(3) Aria is a knight\n(4) Chloe is a knight\n(5) William is a knight\n(6) Lucas is a knave\n(7) Olivia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Riley is a knight. No contradiction is found in their claim that William is a knave if and only if Aria is a knave.", "Assume William is a knight. No contradiction is found in their claim that Lucas is a knave or Chloe is a knave.", "Assume Lucas is a knight. No contradiction is found in their claim that Aria is a knave and William is a knight.", "Aria cannot be a knight, because this would contradict the claim of Lucas that Aria is a knave and William is a knight.", "Aria cannot be a knave, because this would contradict the claim of Riley that William is a knave if and only if Aria is a knave.", "We have exhausted all possibilities for Aria, so let us go back and reconsider Lucas.", "Assume Lucas is a knave. No contradiction is found in their false claim that Aria is a knave and William is a knight.", "Assume Aria is a knight. No contradiction is found in their claim that Chloe is not a knave.", "Assume Chloe is a knight. No contradiction is found in their claim that If William is a knave then Jacob is a knight.", "Jacob cannot be a knight, because this would contradict the claim of their own that Aria is a knave and William is a knight.", "Assume Jacob is a knave. No contradiction is found in their false claim that Aria is a knave and William is a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that Aria is a knight or William is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 4), ('lying', 2)), ('and', ('lying', 2), ('telling-truth', 4)), ('not', ('lying', 3)), ('->', ('lying', 4), ('telling-truth', 1)), ('or', ('lying', 5), ('lying', 3)), ('and', ('lying', 2), ('telling-truth', 4)), ('or', ('telling-truth', 2), ('telling-truth', 4)))", "index": 571}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Mia, Liam, Abigail, Penelope, Evelyn, Lily, and Sofia. Mia stated, \"If Abigail is a knight then Penelope is a knight\". \"Evelyn is a knight and Abigail is a knave,\" Liam declared. Abigail noted, \"Mia is a knave and Mia is a knight\". Penelope was heard saying, \"Abigail is a knave if and only if Liam is a knight\". Evelyn asserted: \"Penelope is a knave or Penelope is a knight\". As Lily put it, \"Abigail is a knight or Evelyn is a knave\". Sofia told you that Lily is not a knight. So who is a knight and who is a knave?", "names": ["Mia", "Liam", "Abigail", "Penelope", "Evelyn", "Lily", "Sofia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true, true, false, true], "solution_text": "Mia is a knight, Liam is a knight, Abigail is a knave, Penelope is a knight, Evelyn is a knight, Lily is a knave, and Sofia is a knight.", "solution_text_format": "(1) Mia is a knight\n(2) Liam is a knight\n(3) Abigail is a knave\n(4) Penelope is a knight\n(5) Evelyn is a knight\n(6) Lily is a knave\n(7) Sofia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Mia is a knight. No contradiction is found in their claim that If Abigail is a knight then Penelope is a knight.", "Abigail cannot be a knight, because this would contradict the claim of their own that Mia is a knave and Mia is a knight.", "Assume Abigail is a knave. No contradiction is found in their false claim that Mia is a knave and Mia is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that Abigail is a knave if and only if Liam is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that Evelyn is a knight and Abigail is a knave.", "Assume Evelyn is a knight. No contradiction is found in their claim that Penelope is a knave or Penelope is a knight.", "Lily cannot be a knight, because this would contradict the claim of their own that Abigail is a knight or Evelyn is a knave.", "Assume Lily is a knave. No contradiction is found in their false claim that Abigail is a knight or Evelyn is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that Lily is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 2), ('telling-truth', 3)), ('and', ('telling-truth', 4), ('lying', 2)), ('and', ('lying', 0), ('telling-truth', 0)), ('<=>', ('lying', 2), ('telling-truth', 1)), ('or', ('lying', 3), ('telling-truth', 3)), ('or', ('telling-truth', 2), ('lying', 4)), ('not', ('telling-truth', 5)))", "index": 572}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Abigail, Amelia, Daniel, Henry, Mia, Evelyn, and Emma. Abigail told you that Amelia is a knave and Henry is a knight. \"Evelyn is a knave\" - Amelia. Daniel commented, \"Henry is a knight if and only if Mia is a knave\". According to Henry, \"If Emma is a knave then Amelia is a knave\". Mia remarked, \"Abigail is a knight and Evelyn is a knave\". Evelyn commented, \"Daniel is a knave if and only if Abigail is a knight\". In Emma's words: \"Evelyn is a knight or Abigail is a knight\". So who is a knight and who is a knave?", "names": ["Abigail", "Amelia", "Daniel", "Henry", "Mia", "Evelyn", "Emma"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false, false, false, false], "solution_text": "Abigail is a knave, Amelia is a knight, Daniel is a knave, Henry is a knave, Mia is a knave, Evelyn is a knave, and Emma is a knave.", "solution_text_format": "(1) Abigail is a knave\n(2) Amelia is a knight\n(3) Daniel is a knave\n(4) Henry is a knave\n(5) Mia is a knave\n(6) Evelyn is a knave\n(7) Emma is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Abigail is a knight. No contradiction is found in their claim that Amelia is a knave and Henry is a knight.", "Amelia cannot be a knight, because this would contradict the claim of Abigail that Amelia is a knave and Henry is a knight.", "Assume Amelia is a knave. No contradiction is found in their false claim that Evelyn is a knave.", "Assume Evelyn is a knight. No contradiction is found in their claim that Daniel is a knave if and only if Abigail is a knight.", "Daniel cannot be a knight, because this would contradict the claim of Evelyn that Daniel is a knave if and only if Abigail is a knight.", "Assume Daniel is a knave. No contradiction is found in their false claim that Henry is a knight if and only if Mia is a knave.", "Assume Henry is a knight. No contradiction is found in their claim that If Emma is a knave then Amelia is a knave.", "Assume Emma is a knight. No contradiction is found in their claim that Evelyn is a knight or Abigail is a knight.", "Mia cannot be a knight, because this would contradict the claim of their own that Abigail is a knight and Evelyn is a knave.", "Mia cannot be a knave, because this would contradict the false claim of Daniel that Henry is a knight if and only if Mia is a knave.", "We have exhausted all possibilities for Mia, so let us go back and reconsider Emma.", "Emma cannot be a knave, because this would contradict the false claim of their own that Evelyn is a knight or Abigail is a knight.", "We have exhausted all possibilities for Emma, so let us go back and reconsider Henry.", "Henry cannot be a knave, because this would contradict the claim of Abigail that Amelia is a knave and Henry is a knight.", "We have exhausted all possibilities for Henry and Daniel, so let us go back and reconsider Evelyn.", "Evelyn cannot be a knave, because this would contradict the false claim of Amelia that Evelyn is a knave.", "We have exhausted all possibilities for Evelyn and Amelia, so let us go back and reconsider Abigail.", "Assume Abigail is a knave. No contradiction is found in their false claim that Amelia is a knave and Henry is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that Evelyn is a knave.", "Evelyn cannot be a knight, because this would contradict the claim of Amelia that Evelyn is a knave.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Daniel is a knave if and only if Abigail is a knight.", "Daniel cannot be a knight, because this would contradict the false claim of Evelyn that Daniel is a knave if and only if Abigail is a knight.", "Assume Daniel is a knave. No contradiction is found in their false claim that Henry is a knight if and only if Mia is a knave.", "Assume Henry is a knight. No contradiction is found in their claim that If Emma is a knave then Amelia is a knave.", "Emma cannot be a knight, because this would contradict the claim of their own that Evelyn is a knight or Abigail is a knight.", "Emma cannot be a knave, because this would contradict the claim of Henry that If Emma is a knave then Amelia is a knave.", "We have exhausted all possibilities for Emma, so let us go back and reconsider Henry.", "Assume Henry is a knave. No contradiction is found in their false claim that If Emma is a knave then Amelia is a knave.", "Emma cannot be a knight, because this would contradict the false claim of Henry that If Emma is a knave then Amelia is a knave.", "Assume Emma is a knave. No contradiction is found in their false claim that Evelyn is a knight or Abigail is a knight.", "Mia cannot be a knight, because this would contradict the false claim of Daniel that Henry is a knight if and only if Mia is a knave.", "Assume Mia is a knave. No contradiction is found in their false claim that Abigail is a knight and Evelyn is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('telling-truth', 3)), ('lying', 5), ('<=>', ('telling-truth', 3), ('lying', 4)), ('->', ('lying', 6), ('lying', 1)), ('and', ('telling-truth', 0), ('lying', 5)), ('<=>', ('lying', 2), ('telling-truth', 0)), ('or', ('telling-truth', 5), ('telling-truth', 0)))", "index": 573}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Scarlett, Mia, Elizabeth, Aiden, Luke, Emily, and Jacob. Scarlett noted, \"Emily is a knight or Elizabeth is a knave\". Mia noted, \"Luke is a knave\". Elizabeth expressed that Jacob is a knave if and only if Jacob is a knight. Aiden noted, \"Emily is not a knight\". Luke was heard saying, \"Jacob is not a knight\". Emily was heard saying, \"If Mia is a knave then Aiden is a knight\". Jacob commented, \"If Scarlett is a knave then Elizabeth is a knight\". So who is a knight and who is a knave?", "names": ["Scarlett", "Mia", "Elizabeth", "Aiden", "Luke", "Emily", "Jacob"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false, false, true, true], "solution_text": "Scarlett is a knight, Mia is a knight, Elizabeth is a knave, Aiden is a knave, Luke is a knave, Emily is a knight, and Jacob is a knight.", "solution_text_format": "(1) Scarlett is a knight\n(2) Mia is a knight\n(3) Elizabeth is a knave\n(4) Aiden is a knave\n(5) Luke is a knave\n(6) Emily is a knight\n(7) Jacob is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Scarlett is a knight. No contradiction is found in their claim that Emily is a knight or Elizabeth is a knave.", "Assume Emily is a knight. No contradiction is found in their claim that If Mia is a knave then Aiden is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that Luke is a knave.", "Luke cannot be a knight, because this would contradict the claim of Mia that Luke is a knave.", "Assume Luke is a knave. No contradiction is found in their false claim that Jacob is not a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that If Scarlett is a knave then Elizabeth is a knight.", "Elizabeth cannot be a knight, because this would contradict the claim of their own that Jacob is a knave if and only if Jacob is a knight.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Jacob is a knave if and only if Jacob is a knight.", "Aiden cannot be a knight, because this would contradict the claim of their own that Emily is not a knight.", "Assume Aiden is a knave. No contradiction is found in their false claim that Emily is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 5), ('lying', 2)), ('lying', 4), ('<=>', ('lying', 6), ('telling-truth', 6)), ('not', ('telling-truth', 5)), ('not', ('telling-truth', 6)), ('->', ('lying', 1), ('telling-truth', 3)), ('->', ('lying', 0), ('telling-truth', 2)))", "index": 574}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Mia, Jack, Owen, Aria, Lily, Isabella, and James. According to Mia, \"Jack is a knight if and only if Isabella is a knave\". \"Mia is a knight and Isabella is a knight,\" Jack declared. In a statement by Owen: \"Isabella is a knave\". Aria noted, \"Isabella is a knight\". \"Mia is a knight,\" Lily mentioned. \"Lily is a knave if and only if James is a knight,\" Isabella mentioned. James said that James is a knight if and only if Jack is a knave. So who is a knight and who is a knave?", "names": ["Mia", "Jack", "Owen", "Aria", "Lily", "Isabella", "James"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false, false, false, false], "solution_text": "Mia is a knave, Jack is a knave, Owen is a knight, Aria is a knave, Lily is a knave, Isabella is a knave, and James is a knave.", "solution_text_format": "(1) Mia is a knave\n(2) Jack is a knave\n(3) Owen is a knight\n(4) Aria is a knave\n(5) Lily is a knave\n(6) Isabella is a knave\n(7) James is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Mia is a knight. No contradiction is found in their claim that Jack is a knight if and only if Isabella is a knave.", "Assume Jack is a knight. No contradiction is found in their claim that Mia is a knight and Isabella is a knight.", "Isabella cannot be a knight, because this would contradict the claim of Mia that Jack is a knight if and only if Isabella is a knave.", "Isabella cannot be a knave, because this would contradict the claim of Jack that Mia is a knight and Isabella is a knight.", "We have exhausted all possibilities for Isabella, so let us go back and reconsider Jack.", "Assume Jack is a knave. No contradiction is found in their false claim that Mia is a knight and Isabella is a knight.", "Isabella cannot be a knight, because this would contradict the false claim of Jack that Mia is a knight and Isabella is a knight.", "Isabella cannot be a knave, because this would contradict the claim of Mia that Jack is a knight if and only if Isabella is a knave.", "We have exhausted all possibilities for Isabella and Jack, so let us go back and reconsider Mia.", "Assume Mia is a knave. No contradiction is found in their false claim that Jack is a knight if and only if Isabella is a knave.", "Jack cannot be a knight, because this would contradict the claim of their own that Mia is a knight and Isabella is a knight.", "Assume Jack is a knave. No contradiction is found in their false claim that Mia is a knight and Isabella is a knight.", "Isabella cannot be a knight, because this would contradict the false claim of Mia that Jack is a knight if and only if Isabella is a knave.", "Assume Isabella is a knave. No contradiction is found in their false claim that Lily is a knave if and only if James is a knight.", "Lily cannot be a knight, because this would contradict the claim of their own that Mia is a knight.", "Assume Lily is a knave. No contradiction is found in their false claim that Mia is a knight.", "James cannot be a knight, because this would contradict the false claim of Isabella that Lily is a knave if and only if James is a knight.", "Assume James is a knave. No contradiction is found in their false claim that James is a knight if and only if Jack is a knave.", "Assume Owen is a knight. No contradiction is found in their claim that Isabella is a knave.", "Aria cannot be a knight, because this would contradict the claim of their own that Isabella is a knight.", "Assume Aria is a knave. No contradiction is found in their false claim that Isabella is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('lying', 5)), ('and', ('telling-truth', 0), ('telling-truth', 5)), ('lying', 5), ('telling-truth', 5), ('telling-truth', 0), ('<=>', ('lying', 4), ('telling-truth', 6)), ('<=>', ('telling-truth', 6), ('lying', 1)))", "index": 575}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Alexander, Lily, Matthew, Luke, Evelyn, Michael, and Riley. Alexander commented, \"If Lily is a knight then Luke is a knight\". Lily remarked, \"Riley is a knight or Evelyn is a knight\". Matthew said, \"If Riley is a knave then Michael is a knave.\" Luke noted, \"Michael is a knave or Riley is a knight\". Evelyn asserted: \"Matthew is a knave and Evelyn is a knight\". Michael asserted: \"Riley is a knight\". Riley remarked, \"If Riley is a knight then Matthew is a knight\". So who is a knight and who is a knave?", "names": ["Alexander", "Lily", "Matthew", "Luke", "Evelyn", "Michael", "Riley"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, false, true, true], "solution_text": "Alexander is a knight, Lily is a knight, Matthew is a knight, Luke is a knight, Evelyn is a knave, Michael is a knight, and Riley is a knight.", "solution_text_format": "(1) Alexander is a knight\n(2) Lily is a knight\n(3) Matthew is a knight\n(4) Luke is a knight\n(5) Evelyn is a knave\n(6) Michael is a knight\n(7) Riley is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Alexander is a knight. No contradiction is found in their claim that If Lily is a knight then Luke is a knight.", "Assume Lily is a knight. No contradiction is found in their claim that Riley is a knight or Evelyn is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that If Riley is a knight then Matthew is a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that If Riley is a knave then Michael is a knave.", "Assume Michael is a knight. No contradiction is found in their claim that Riley is a knight.", "Evelyn cannot be a knight, because this would contradict the claim of their own that Matthew is a knave and Evelyn is a knight.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Matthew is a knave and Evelyn is a knight.", "Assume Luke is a knight. No contradiction is found in their claim that Michael is a knave or Riley is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 1), ('telling-truth', 3)), ('or', ('telling-truth', 6), ('telling-truth', 4)), ('->', ('lying', 6), ('lying', 5)), ('or', ('lying', 5), ('telling-truth', 6)), ('and', ('lying', 2), ('telling-truth', 4)), ('telling-truth', 6), ('->', ('telling-truth', 6), ('telling-truth', 2)))", "index": 576}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Samuel, Harper, Amelia, Aiden, Ella, Lucas, and Matthew. \"Ella is a knave if and only if Samuel is a knight,\" Samuel declared. Harper noted, \"Matthew is not a knave\". Amelia said, \"Aiden is not a knight.\" Aiden commented, \"If Amelia is a knight then Samuel is a knave\". \"Matthew is not a knight,\" Ella mentioned. Lucas said, \"If Harper is a knave then Amelia is a knight.\" According to Matthew, \"Samuel is not a knight\". So who is a knight and who is a knave?", "names": ["Samuel", "Harper", "Amelia", "Aiden", "Ella", "Lucas", "Matthew"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true, false, true, true], "solution_text": "Samuel is a knave, Harper is a knight, Amelia is a knave, Aiden is a knight, Ella is a knave, Lucas is a knight, and Matthew is a knight.", "solution_text_format": "(1) Samuel is a knave\n(2) Harper is a knight\n(3) Amelia is a knave\n(4) Aiden is a knight\n(5) Ella is a knave\n(6) Lucas is a knight\n(7) Matthew is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Samuel is a knight. No contradiction is found in their claim that Ella is a knave if and only if Samuel is a knight.", "Ella cannot be a knight, because this would contradict the claim of Samuel that Ella is a knave if and only if Samuel is a knight.", "Assume Ella is a knave. No contradiction is found in their false claim that Matthew is not a knight.", "Matthew cannot be a knight, because this would contradict the claim of their own that Samuel is not a knight.", "Matthew cannot be a knave, because this would contradict the false claim of Ella that Matthew is not a knight.", "We have exhausted all possibilities for Matthew and Ella, so let us go back and reconsider Samuel.", "Assume Samuel is a knave. No contradiction is found in their false claim that Ella is a knave if and only if Samuel is a knight.", "Ella cannot be a knight, because this would contradict the false claim of Samuel that Ella is a knave if and only if Samuel is a knight.", "Assume Ella is a knave. No contradiction is found in their false claim that Matthew is not a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that Samuel is not a knight.", "Assume Harper is a knight. No contradiction is found in their claim that Matthew is not a knave.", "Assume Amelia is a knight. No contradiction is found in their claim that Aiden is not a knight.", "Aiden cannot be a knight, because this would contradict the claim of Amelia that Aiden is not a knight.", "Aiden cannot be a knave, because this would contradict the false claim of their own that If Amelia is a knight then Samuel is a knave.", "We have exhausted all possibilities for Aiden, so let us go back and reconsider Amelia.", "Assume Amelia is a knave. No contradiction is found in their false claim that Aiden is not a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that If Amelia is a knight then Samuel is a knave.", "Assume Lucas is a knight. No contradiction is found in their claim that If Harper is a knave then Amelia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 4), ('telling-truth', 0)), ('not', ('lying', 6)), ('not', ('telling-truth', 3)), ('->', ('telling-truth', 2), ('lying', 0)), ('not', ('telling-truth', 6)), ('->', ('lying', 1), ('telling-truth', 2)), ('not', ('telling-truth', 0)))", "index": 577}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Sofia, Zoey, Logan, Henry, Victoria, Jackson, and Luke. In a statement by Sofia: \"Jackson is a knight and Sofia is a knight\". As Zoey put it, \"Jackson is a knight and Zoey is a knight\". Logan said that Luke is a knight. As Henry put it, \"If Victoria is a knave then Zoey is a knave\". Victoria noted, \"Henry is a knave\". \"Zoey is a knight\" - Jackson. Luke was heard saying, \"Jackson is a knight and Luke is a knight\". So who is a knight and who is a knave?", "names": ["Sofia", "Zoey", "Logan", "Henry", "Victoria", "Jackson", "Luke"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true, false, false, false], "solution_text": "Sofia is a knave, Zoey is a knave, Logan is a knave, Henry is a knight, Victoria is a knave, Jackson is a knave, and Luke is a knave.", "solution_text_format": "(1) Sofia is a knave\n(2) Zoey is a knave\n(3) Logan is a knave\n(4) Henry is a knight\n(5) Victoria is a knave\n(6) Jackson is a knave\n(7) Luke is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sofia is a knight. No contradiction is found in their claim that Jackson is a knight and Sofia is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that Zoey is a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that Jackson is a knight and Zoey is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that Luke is a knight.", "Assume Luke is a knight. No contradiction is found in their claim that Jackson is a knight and Luke is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that If Victoria is a knave then Zoey is a knave.", "Victoria cannot be a knight, because this would contradict the claim of their own that Henry is a knave.", "Victoria cannot be a knave, because this would contradict the claim of Henry that If Victoria is a knave then Zoey is a knave.", "We have exhausted all possibilities for Victoria, so let us go back and reconsider Henry.", "Assume Henry is a knave. No contradiction is found in their false claim that If Victoria is a knave then Zoey is a knave.", "Victoria cannot be a knight, because this would contradict the false claim of Henry that If Victoria is a knave then Zoey is a knave.", "Victoria cannot be a knave, because this would contradict the false claim of their own that Henry is a knave.", "We have exhausted all possibilities for Victoria and Henry, so let us go back and reconsider Luke.", "Luke cannot be a knave, because this would contradict the claim of Logan that Luke is a knight.", "We have exhausted all possibilities for Luke, so let us go back and reconsider Logan.", "Assume Logan is a knave. No contradiction is found in their false claim that Luke is a knight.", "Luke cannot be a knight, because this would contradict the false claim of Logan that Luke is a knight.", "Assume Luke is a knave. No contradiction is found in their false claim that Jackson is a knight and Luke is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that If Victoria is a knave then Zoey is a knave.", "Victoria cannot be a knight, because this would contradict the claim of their own that Henry is a knave.", "Victoria cannot be a knave, because this would contradict the claim of Henry that If Victoria is a knave then Zoey is a knave.", "We have exhausted all possibilities for Victoria, so let us go back and reconsider Henry.", "Assume Henry is a knave. No contradiction is found in their false claim that If Victoria is a knave then Zoey is a knave.", "Victoria cannot be a knight, because this would contradict the false claim of Henry that If Victoria is a knave then Zoey is a knave.", "Victoria cannot be a knave, because this would contradict the false claim of their own that Henry is a knave.", "We have exhausted all possibilities for Victoria, Henry, Luke, and Logan, so let us go back and reconsider Zoey.", "Zoey cannot be a knave, because this would contradict the claim of Jackson that Zoey is a knight.", "We have exhausted all possibilities for Zoey, so let us go back and reconsider Jackson.", "Jackson cannot be a knave, because this would contradict the claim of Sofia that Jackson is a knight and Sofia is a knight.", "We have exhausted all possibilities for Jackson, so let us go back and reconsider Sofia.", "Assume Sofia is a knave. No contradiction is found in their false claim that Jackson is a knight and Sofia is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that Zoey is a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that Jackson is a knight and Zoey is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that Luke is a knight.", "Assume Luke is a knight. No contradiction is found in their claim that Jackson is a knight and Luke is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that If Victoria is a knave then Zoey is a knave.", "Victoria cannot be a knight, because this would contradict the claim of their own that Henry is a knave.", "Victoria cannot be a knave, because this would contradict the claim of Henry that If Victoria is a knave then Zoey is a knave.", "We have exhausted all possibilities for Victoria, so let us go back and reconsider Henry.", "Assume Henry is a knave. No contradiction is found in their false claim that If Victoria is a knave then Zoey is a knave.", "Victoria cannot be a knight, because this would contradict the false claim of Henry that If Victoria is a knave then Zoey is a knave.", "Victoria cannot be a knave, because this would contradict the false claim of their own that Henry is a knave.", "We have exhausted all possibilities for Victoria and Henry, so let us go back and reconsider Luke.", "Luke cannot be a knave, because this would contradict the claim of Logan that Luke is a knight.", "We have exhausted all possibilities for Luke, so let us go back and reconsider Logan.", "Assume Logan is a knave. No contradiction is found in their false claim that Luke is a knight.", "Luke cannot be a knight, because this would contradict the false claim of Logan that Luke is a knight.", "Assume Luke is a knave. No contradiction is found in their false claim that Jackson is a knight and Luke is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that If Victoria is a knave then Zoey is a knave.", "Victoria cannot be a knight, because this would contradict the claim of their own that Henry is a knave.", "Victoria cannot be a knave, because this would contradict the claim of Henry that If Victoria is a knave then Zoey is a knave.", "We have exhausted all possibilities for Victoria, so let us go back and reconsider Henry.", "Assume Henry is a knave. No contradiction is found in their false claim that If Victoria is a knave then Zoey is a knave.", "Victoria cannot be a knight, because this would contradict the false claim of Henry that If Victoria is a knave then Zoey is a knave.", "Victoria cannot be a knave, because this would contradict the false claim of their own that Henry is a knave.", "We have exhausted all possibilities for Victoria, Henry, Luke, and Logan, so let us go back and reconsider Zoey.", "Zoey cannot be a knave, because this would contradict the claim of Jackson that Zoey is a knight.", "We have exhausted all possibilities for Zoey, so let us go back and reconsider Jackson.", "Assume Jackson is a knave. No contradiction is found in their false claim that Zoey is a knight.", "Zoey cannot be a knight, because this would contradict the claim of their own that Jackson is a knight and Zoey is a knight.", "Assume Zoey is a knave. No contradiction is found in their false claim that Jackson is a knight and Zoey is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that Luke is a knight.", "Luke cannot be a knight, because this would contradict the claim of their own that Jackson is a knight and Luke is a knight.", "Luke cannot be a knave, because this would contradict the claim of Logan that Luke is a knight.", "We have exhausted all possibilities for Luke, so let us go back and reconsider Logan.", "Assume Logan is a knave. No contradiction is found in their false claim that Luke is a knight.", "Luke cannot be a knight, because this would contradict the false claim of Logan that Luke is a knight.", "Assume Luke is a knave. No contradiction is found in their false claim that Jackson is a knight and Luke is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that If Victoria is a knave then Zoey is a knave.", "Victoria cannot be a knight, because this would contradict the claim of their own that Henry is a knave.", "Assume Victoria is a knave. No contradiction is found in their false claim that Henry is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 5), ('telling-truth', 0)), ('and', ('telling-truth', 5), ('telling-truth', 1)), ('telling-truth', 6), ('->', ('lying', 4), ('lying', 1)), ('lying', 3), ('telling-truth', 1), ('and', ('telling-truth', 5), ('telling-truth', 6)))", "index": 578}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Henry, Chloe, James, Abigail, Ethan, Isabella, and Amelia. In a statement by Henry: \"Henry is a knight if and only if Amelia is a knave\". According to Chloe, \"Ethan is a knave or Abigail is a knight\". James commented, \"Henry is not a knave\". Abigail stated, \"Chloe is a knave\". Ethan asserted: \"James is a knave and Isabella is a knight\". Isabella was heard saying, \"Abigail is a knave and Ethan is a knave\". \"Isabella is a knave or Amelia is a knight,\" Amelia declared. So who is a knight and who is a knave?", "names": ["Henry", "Chloe", "James", "Abigail", "Ethan", "Isabella", "Amelia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false, false, true, false], "solution_text": "Henry is a knight, Chloe is a knight, James is a knight, Abigail is a knave, Ethan is a knave, Isabella is a knight, and Amelia is a knave.", "solution_text_format": "(1) Henry is a knight\n(2) Chloe is a knight\n(3) James is a knight\n(4) Abigail is a knave\n(5) Ethan is a knave\n(6) Isabella is a knight\n(7) Amelia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Henry is a knight. No contradiction is found in their claim that Henry is a knight if and only if Amelia is a knave.", "Amelia cannot be a knight, because this would contradict the claim of Henry that Henry is a knight if and only if Amelia is a knave.", "Assume Amelia is a knave. No contradiction is found in their false claim that Isabella is a knave or Amelia is a knight.", "Assume Isabella is a knight. No contradiction is found in their claim that Abigail is a knave and Ethan is a knave.", "Abigail cannot be a knight, because this would contradict the claim of Isabella that Abigail is a knave and Ethan is a knave.", "Assume Abigail is a knave. No contradiction is found in their false claim that Chloe is a knave.", "Assume Chloe is a knight. No contradiction is found in their claim that Ethan is a knave or Abigail is a knight.", "Ethan cannot be a knight, because this would contradict the claim of Chloe that Ethan is a knave or Abigail is a knight.", "Assume Ethan is a knave. No contradiction is found in their false claim that James is a knave and Isabella is a knight.", "Assume James is a knight. No contradiction is found in their claim that Henry is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 0), ('lying', 6)), ('or', ('lying', 4), ('telling-truth', 3)), ('not', ('lying', 0)), ('lying', 1), ('and', ('lying', 2), ('telling-truth', 5)), ('and', ('lying', 3), ('lying', 4)), ('or', ('lying', 5), ('telling-truth', 6)))", "index": 579}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Lucas, Chloe, Elizabeth, Harper, Matthew, Aiden, and Scarlett. \"Harper is a knave\" - Lucas. According to Chloe, \"Elizabeth is a knave and Aiden is a knave\". Elizabeth said, \"Scarlett is a knight or Chloe is a knave.\" \"Aiden is not a knave,\" Harper claimed. In Matthew's words: \"Aiden is a knight and Chloe is a knave\". \"Harper is a knight and Scarlett is a knight,\" Aiden mentioned. Scarlett told you that Harper is not a knight. So who is a knight and who is a knave?", "names": ["Lucas", "Chloe", "Elizabeth", "Harper", "Matthew", "Aiden", "Scarlett"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false, false, false, true], "solution_text": "Lucas is a knight, Chloe is a knave, Elizabeth is a knight, Harper is a knave, Matthew is a knave, Aiden is a knave, and Scarlett is a knight.", "solution_text_format": "(1) Lucas is a knight\n(2) Chloe is a knave\n(3) Elizabeth is a knight\n(4) Harper is a knave\n(5) Matthew is a knave\n(6) Aiden is a knave\n(7) Scarlett is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Lucas is a knight. No contradiction is found in their claim that Harper is a knave.", "Harper cannot be a knight, because this would contradict the claim of Lucas that Harper is a knave.", "Assume Harper is a knave. No contradiction is found in their false claim that Aiden is not a knave.", "Aiden cannot be a knight, because this would contradict the false claim of Harper that Aiden is not a knave.", "Assume Aiden is a knave. No contradiction is found in their false claim that Harper is a knight and Scarlett is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that Harper is not a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that Elizabeth is a knave and Aiden is a knave.", "Elizabeth cannot be a knight, because this would contradict the claim of Chloe that Elizabeth is a knave and Aiden is a knave.", "Elizabeth cannot be a knave, because this would contradict the false claim of their own that Scarlett is a knight or Chloe is a knave.", "We have exhausted all possibilities for Elizabeth, so let us go back and reconsider Chloe.", "Assume Chloe is a knave. No contradiction is found in their false claim that Elizabeth is a knave and Aiden is a knave.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Scarlett is a knight or Chloe is a knave.", "Matthew cannot be a knight, because this would contradict the claim of their own that Aiden is a knight and Chloe is a knave.", "Assume Matthew is a knave. No contradiction is found in their false claim that Aiden is a knight and Chloe is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 3), ('and', ('lying', 2), ('lying', 5)), ('or', ('telling-truth', 6), ('lying', 1)), ('not', ('lying', 5)), ('and', ('telling-truth', 5), ('lying', 1)), ('and', ('telling-truth', 3), ('telling-truth', 6)), ('not', ('telling-truth', 3)))", "index": 580}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: James, Avery, Mason, Jackson, Luke, Noah, and Benjamin. James remarked, \"Avery is a knight and Noah is a knave\". Avery commented, \"James is a knave\". Mason said, \"Luke is a knave or Avery is a knave.\" Jackson expressed that Mason is a knight if and only if Luke is a knave. Luke said, \"If James is a knave then Mason is a knave.\" Noah expressed that Benjamin is a knight if and only if Luke is a knight. Benjamin said that Noah is a knave if and only if Avery is a knight. So who is a knight and who is a knave?", "names": ["James", "Avery", "Mason", "Jackson", "Luke", "Noah", "Benjamin"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, false, true, false], "solution_text": "James is a knave, Avery is a knight, Mason is a knight, Jackson is a knight, Luke is a knave, Noah is a knight, and Benjamin is a knave.", "solution_text_format": "(1) James is a knave\n(2) Avery is a knight\n(3) Mason is a knight\n(4) Jackson is a knight\n(5) Luke is a knave\n(6) Noah is a knight\n(7) Benjamin is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume James is a knight. No contradiction is found in their claim that Avery is a knight and Noah is a knave.", "Avery cannot be a knight, because this would contradict the claim of their own that James is a knave.", "Avery cannot be a knave, because this would contradict the claim of James that Avery is a knight and Noah is a knave.", "We have exhausted all possibilities for Avery, so let us go back and reconsider James.", "Assume James is a knave. No contradiction is found in their false claim that Avery is a knight and Noah is a knave.", "Assume Avery is a knight. No contradiction is found in their claim that James is a knave.", "Assume Noah is a knight. No contradiction is found in their claim that Benjamin is a knight if and only if Luke is a knight.", "Benjamin cannot be a knight, because this would contradict the claim of their own that Noah is a knave if and only if Avery is a knight.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Noah is a knave if and only if Avery is a knight.", "Luke cannot be a knight, because this would contradict the claim of Noah that Benjamin is a knight if and only if Luke is a knight.", "Assume Luke is a knave. No contradiction is found in their false claim that If James is a knave then Mason is a knave.", "Assume Mason is a knight. No contradiction is found in their claim that Luke is a knave or Avery is a knave.", "Assume Jackson is a knight. No contradiction is found in their claim that Mason is a knight if and only if Luke is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('lying', 5)), ('lying', 0), ('or', ('lying', 4), ('lying', 1)), ('<=>', ('telling-truth', 2), ('lying', 4)), ('->', ('lying', 0), ('lying', 2)), ('<=>', ('telling-truth', 6), ('telling-truth', 4)), ('<=>', ('lying', 5), ('telling-truth', 1)))", "index": 581}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Olivia, Avery, Joseph, Ella, Owen, Samuel, and Michael. Olivia asserted: \"Samuel is a knight if and only if Samuel is a knave\". \"If Olivia is a knight then Michael is a knave,\" Avery claimed. Joseph said that Avery is a knight and Olivia is a knight. Ella told you that If Samuel is a knight then Michael is a knave. In Owen's words: \"Olivia is a knave if and only if Ella is a knight\". Samuel said that If Ella is a knave then Avery is a knight. Michael said that If Joseph is a knight then Avery is a knight. So who is a knight and who is a knave?", "names": ["Olivia", "Avery", "Joseph", "Ella", "Owen", "Samuel", "Michael"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false, false, true, true], "solution_text": "Olivia is a knave, Avery is a knight, Joseph is a knave, Ella is a knave, Owen is a knave, Samuel is a knight, and Michael is a knight.", "solution_text_format": "(1) Olivia is a knave\n(2) Avery is a knight\n(3) Joseph is a knave\n(4) Ella is a knave\n(5) Owen is a knave\n(6) Samuel is a knight\n(7) Michael is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Olivia cannot be a knight, because this would contradict the claim of their own that Samuel is a knight if and only if Samuel is a knave.", "Assume Olivia is a knave. No contradiction is found in their false claim that Samuel is a knight if and only if Samuel is a knave.", "Assume Samuel is a knight. No contradiction is found in their claim that If Ella is a knave then Avery is a knight.", "Assume Ella is a knight. No contradiction is found in their claim that If Samuel is a knight then Michael is a knave.", "Michael cannot be a knight, because this would contradict the claim of Ella that If Samuel is a knight then Michael is a knave.", "Assume Michael is a knave. No contradiction is found in their false claim that If Joseph is a knight then Avery is a knight.", "Joseph cannot be a knight, because this would contradict the claim of their own that Avery is a knight and Olivia is a knight.", "Joseph cannot be a knave, because this would contradict the false claim of Michael that If Joseph is a knight then Avery is a knight.", "We have exhausted all possibilities for Joseph and Michael, so let us go back and reconsider Ella.", "Assume Ella is a knave. No contradiction is found in their false claim that If Samuel is a knight then Michael is a knave.", "Assume Michael is a knight. No contradiction is found in their claim that If Joseph is a knight then Avery is a knight.", "Joseph cannot be a knight, because this would contradict the claim of their own that Avery is a knight and Olivia is a knight.", "Assume Joseph is a knave. No contradiction is found in their false claim that Avery is a knight and Olivia is a knight.", "Assume Avery is a knight. No contradiction is found in their claim that If Olivia is a knight then Michael is a knave.", "Owen cannot be a knight, because this would contradict the claim of their own that Olivia is a knave if and only if Ella is a knight.", "Assume Owen is a knave. No contradiction is found in their false claim that Olivia is a knave if and only if Ella is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 5), ('lying', 5)), ('->', ('telling-truth', 0), ('lying', 6)), ('and', ('telling-truth', 1), ('telling-truth', 0)), ('->', ('telling-truth', 5), ('lying', 6)), ('<=>', ('lying', 0), ('telling-truth', 3)), ('->', ('lying', 3), ('telling-truth', 1)), ('->', ('telling-truth', 2), ('telling-truth', 1)))", "index": 582}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Jackson, Abigail, Aiden, Scarlett, Aurora, Ethan, and Ella. \"Scarlett is a knave or Aiden is a knight\" - Jackson. Abigail remarked, \"Scarlett is a knave if and only if Jackson is a knight\". Aiden told you that Scarlett is a knight if and only if Abigail is a knight. Scarlett expressed that Ethan is not a knight. Aurora noted, \"Abigail is a knave\". In a statement by Ethan: \"Ethan is a knight if and only if Aiden is a knave\". Ella expressed that Ethan is a knight and Scarlett is a knight. So who is a knight and who is a knave?", "names": ["Jackson", "Abigail", "Aiden", "Scarlett", "Aurora", "Ethan", "Ella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false, false, true, false], "solution_text": "Jackson is a knight, Abigail is a knight, Aiden is a knave, Scarlett is a knave, Aurora is a knave, Ethan is a knight, and Ella is a knave.", "solution_text_format": "(1) Jackson is a knight\n(2) Abigail is a knight\n(3) Aiden is a knave\n(4) Scarlett is a knave\n(5) Aurora is a knave\n(6) Ethan is a knight\n(7) Ella is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jackson is a knight. No contradiction is found in their claim that Scarlett is a knave or Aiden is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that Ethan is not a knight.", "Ethan cannot be a knight, because this would contradict the claim of Scarlett that Ethan is not a knight.", "Assume Ethan is a knave. No contradiction is found in their false claim that Ethan is a knight if and only if Aiden is a knave.", "Aiden cannot be a knight, because this would contradict the false claim of Ethan that Ethan is a knight if and only if Aiden is a knave.", "Aiden cannot be a knave, because this would contradict the claim of Jackson that Scarlett is a knave or Aiden is a knight.", "We have exhausted all possibilities for Aiden and Ethan, so let us go back and reconsider Scarlett.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Ethan is not a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that Ethan is a knight if and only if Aiden is a knave.", "Aiden cannot be a knight, because this would contradict the claim of Ethan that Ethan is a knight if and only if Aiden is a knave.", "Assume Aiden is a knave. No contradiction is found in their false claim that Scarlett is a knight if and only if Abigail is a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that Scarlett is a knave if and only if Jackson is a knight.", "Aurora cannot be a knight, because this would contradict the claim of their own that Abigail is a knave.", "Assume Aurora is a knave. No contradiction is found in their false claim that Abigail is a knave.", "Ella cannot be a knight, because this would contradict the claim of their own that Ethan is a knight and Scarlett is a knight.", "Assume Ella is a knave. No contradiction is found in their false claim that Ethan is a knight and Scarlett is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 3), ('telling-truth', 2)), ('<=>', ('lying', 3), ('telling-truth', 0)), ('<=>', ('telling-truth', 3), ('telling-truth', 1)), ('not', ('telling-truth', 5)), ('lying', 1), ('<=>', ('telling-truth', 5), ('lying', 2)), ('and', ('telling-truth', 5), ('telling-truth', 3)))", "index": 583}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Avery, Olivia, Riley, Penelope, Samuel, Owen, and Isabella. \"Penelope is a knight and Riley is a knave,\" Avery mentioned. \"Owen is a knight and Penelope is a knave,\" Olivia claimed. Riley stated, \"Avery is a knave if and only if Avery is a knight\". According to Penelope, \"If Isabella is a knight then Owen is a knight\". Samuel commented, \"Penelope is a knave and Riley is a knight\". \"If Isabella is a knave then Avery is a knave,\" Owen mentioned. According to Isabella, \"Samuel is a knight\". So who is a knight and who is a knave?", "names": ["Avery", "Olivia", "Riley", "Penelope", "Samuel", "Owen", "Isabella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, false, false, false], "solution_text": "Avery is a knight, Olivia is a knave, Riley is a knave, Penelope is a knight, Samuel is a knave, Owen is a knave, and Isabella is a knave.", "solution_text_format": "(1) Avery is a knight\n(2) Olivia is a knave\n(3) Riley is a knave\n(4) Penelope is a knight\n(5) Samuel is a knave\n(6) Owen is a knave\n(7) Isabella is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Avery is a knight. No contradiction is found in their claim that Penelope is a knight and Riley is a knave.", "Assume Penelope is a knight. No contradiction is found in their claim that If Isabella is a knight then Owen is a knight.", "Assume Isabella is a knight. No contradiction is found in their claim that Samuel is a knight.", "Samuel cannot be a knight, because this would contradict the claim of their own that Penelope is a knave and Riley is a knight.", "Samuel cannot be a knave, because this would contradict the claim of Isabella that Samuel is a knight.", "We have exhausted all possibilities for Samuel, so let us go back and reconsider Isabella.", "Assume Isabella is a knave. No contradiction is found in their false claim that Samuel is a knight.", "Samuel cannot be a knight, because this would contradict the claim of their own that Penelope is a knave and Riley is a knight.", "Assume Samuel is a knave. No contradiction is found in their false claim that Penelope is a knave and Riley is a knight.", "Riley cannot be a knight, because this would contradict the claim of Avery that Penelope is a knight and Riley is a knave.", "Assume Riley is a knave. No contradiction is found in their false claim that Avery is a knave if and only if Avery is a knight.", "Owen cannot be a knight, because this would contradict the claim of their own that If Isabella is a knave then Avery is a knave.", "Assume Owen is a knave. No contradiction is found in their false claim that If Isabella is a knave then Avery is a knave.", "Olivia cannot be a knight, because this would contradict the claim of their own that Owen is a knight and Penelope is a knave.", "Assume Olivia is a knave. No contradiction is found in their false claim that Owen is a knight and Penelope is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 3), ('lying', 2)), ('and', ('telling-truth', 5), ('lying', 3)), ('<=>', ('lying', 0), ('telling-truth', 0)), ('->', ('telling-truth', 6), ('telling-truth', 5)), ('and', ('lying', 3), ('telling-truth', 2)), ('->', ('lying', 6), ('lying', 0)), ('telling-truth', 4))", "index": 584}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Luke, Henry, James, Daniel, Aria, Olivia, and Aurora. Luke said, \"Olivia is a knight or Henry is a knight.\" Henry commented, \"If Daniel is a knight then Daniel is a knave\". \"Aurora is not a knight\" - James. \"Luke is a knight,\" Daniel declared. Aria said that If James is a knight then Luke is a knave. Olivia was heard saying, \"James is not a knight\". As Aurora put it, \"If Henry is a knave then Aria is a knight\". So who is a knight and who is a knave?", "names": ["Luke", "Henry", "James", "Daniel", "Aria", "Olivia", "Aurora"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, true, true, true], "solution_text": "Luke is a knight, Henry is a knave, James is a knave, Daniel is a knight, Aria is a knight, Olivia is a knight, and Aurora is a knight.", "solution_text_format": "(1) Luke is a knight\n(2) Henry is a knave\n(3) James is a knave\n(4) Daniel is a knight\n(5) Aria is a knight\n(6) Olivia is a knight\n(7) Aurora is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Luke is a knight. No contradiction is found in their claim that Olivia is a knight or Henry is a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that James is not a knight.", "James cannot be a knight, because this would contradict the claim of Olivia that James is not a knight.", "Assume James is a knave. No contradiction is found in their false claim that Aurora is not a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that If Henry is a knave then Aria is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that If Daniel is a knight then Daniel is a knave.", "Daniel cannot be a knight, because this would contradict the claim of Henry that If Daniel is a knight then Daniel is a knave.", "Daniel cannot be a knave, because this would contradict the false claim of their own that Luke is a knight.", "We have exhausted all possibilities for Daniel, so let us go back and reconsider Henry.", "Assume Henry is a knave. No contradiction is found in their false claim that If Daniel is a knight then Daniel is a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that Luke is a knight.", "Assume Aria is a knight. No contradiction is found in their claim that If James is a knight then Luke is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 5), ('telling-truth', 1)), ('->', ('telling-truth', 3), ('lying', 3)), ('not', ('telling-truth', 6)), ('telling-truth', 0), ('->', ('telling-truth', 2), ('lying', 0)), ('not', ('telling-truth', 2)), ('->', ('lying', 1), ('telling-truth', 4)))", "index": 585}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Ava, Aiden, Oliver, Riley, Michael, Avery, and Joseph. \"Riley is a knave,\" Ava mentioned. \"If Oliver is a knight then Oliver is a knave,\" Aiden declared. \"Joseph is not a knave,\" Oliver mentioned. Riley said that If Riley is a knight then Ava is a knave. As Michael put it, \"Ava is not a knight\". Avery told you that Oliver is not a knight. According to Joseph, \"Avery is a knight if and only if Aiden is a knight\". So who is a knight and who is a knave?", "names": ["Ava", "Aiden", "Oliver", "Riley", "Michael", "Avery", "Joseph"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true, true, false, true], "solution_text": "Ava is a knave, Aiden is a knave, Oliver is a knight, Riley is a knight, Michael is a knight, Avery is a knave, and Joseph is a knight.", "solution_text_format": "(1) Ava is a knave\n(2) Aiden is a knave\n(3) Oliver is a knight\n(4) Riley is a knight\n(5) Michael is a knight\n(6) Avery is a knave\n(7) Joseph is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ava is a knight. No contradiction is found in their claim that Riley is a knave.", "Riley cannot be a knight, because this would contradict the claim of Ava that Riley is a knave.", "Riley cannot be a knave, because this would contradict the false claim of their own that If Riley is a knight then Ava is a knave.", "We have exhausted all possibilities for Riley, so let us go back and reconsider Ava.", "Assume Ava is a knave. No contradiction is found in their false claim that Riley is a knave.", "Assume Riley is a knight. No contradiction is found in their claim that If Riley is a knight then Ava is a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that If Oliver is a knight then Oliver is a knave.", "Oliver cannot be a knight, because this would contradict the claim of Aiden that If Oliver is a knight then Oliver is a knave.", "Assume Oliver is a knave. No contradiction is found in their false claim that Joseph is not a knave.", "Joseph cannot be a knight, because this would contradict the false claim of Oliver that Joseph is not a knave.", "Assume Joseph is a knave. No contradiction is found in their false claim that Avery is a knight if and only if Aiden is a knight.", "Avery cannot be a knight, because this would contradict the false claim of Joseph that Avery is a knight if and only if Aiden is a knight.", "Avery cannot be a knave, because this would contradict the false claim of their own that Oliver is not a knight.", "We have exhausted all possibilities for Avery, Joseph, and Oliver, so let us go back and reconsider Aiden.", "Assume Aiden is a knave. No contradiction is found in their false claim that If Oliver is a knight then Oliver is a knave.", "Assume Oliver is a knight. No contradiction is found in their claim that Joseph is not a knave.", "Assume Joseph is a knight. No contradiction is found in their claim that Avery is a knight if and only if Aiden is a knight.", "Avery cannot be a knight, because this would contradict the claim of their own that Oliver is not a knight.", "Assume Avery is a knave. No contradiction is found in their false claim that Oliver is not a knight.", "Assume Michael is a knight. No contradiction is found in their claim that Ava is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 3), ('->', ('telling-truth', 2), ('lying', 2)), ('not', ('lying', 6)), ('->', ('telling-truth', 3), ('lying', 0)), ('not', ('telling-truth', 0)), ('not', ('telling-truth', 2)), ('<=>', ('telling-truth', 5), ('telling-truth', 1)))", "index": 586}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Grace, Isabella, Henry, Amelia, Samuel, Alexander, and Jacob. Grace was heard saying, \"Jacob is a knave if and only if Samuel is a knight\". Isabella said, \"Alexander is not a knight.\" Henry remarked, \"Samuel is a knave if and only if Isabella is a knight\". Amelia remarked, \"Isabella is a knight if and only if Grace is a knave\". \"Grace is a knave and Amelia is a knave,\" Samuel declared. Alexander expressed that Amelia is a knight and Alexander is a knight. As Jacob put it, \"Samuel is a knave and Samuel is a knight\". So who is a knight and who is a knave?", "names": ["Grace", "Isabella", "Henry", "Amelia", "Samuel", "Alexander", "Jacob"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, false, false, false], "solution_text": "Grace is a knave, Isabella is a knight, Henry is a knight, Amelia is a knight, Samuel is a knave, Alexander is a knave, and Jacob is a knave.", "solution_text_format": "(1) Grace is a knave\n(2) Isabella is a knight\n(3) Henry is a knight\n(4) Amelia is a knight\n(5) Samuel is a knave\n(6) Alexander is a knave\n(7) Jacob is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Grace is a knight. No contradiction is found in their claim that Jacob is a knave if and only if Samuel is a knight.", "Jacob cannot be a knight, because this would contradict the claim of their own that Samuel is a knave and Samuel is a knight.", "Assume Jacob is a knave. No contradiction is found in their false claim that Samuel is a knave and Samuel is a knight.", "Samuel cannot be a knight, because this would contradict the claim of their own that Grace is a knave and Amelia is a knave.", "Samuel cannot be a knave, because this would contradict the claim of Grace that Jacob is a knave if and only if Samuel is a knight.", "We have exhausted all possibilities for Samuel and Jacob, so let us go back and reconsider Grace.", "Assume Grace is a knave. No contradiction is found in their false claim that Jacob is a knave if and only if Samuel is a knight.", "Jacob cannot be a knight, because this would contradict the claim of their own that Samuel is a knave and Samuel is a knight.", "Assume Jacob is a knave. No contradiction is found in their false claim that Samuel is a knave and Samuel is a knight.", "Samuel cannot be a knight, because this would contradict the false claim of Grace that Jacob is a knave if and only if Samuel is a knight.", "Assume Samuel is a knave. No contradiction is found in their false claim that Grace is a knave and Amelia is a knave.", "Assume Amelia is a knight. No contradiction is found in their claim that Isabella is a knight if and only if Grace is a knave.", "Assume Isabella is a knight. No contradiction is found in their claim that Alexander is not a knight.", "Alexander cannot be a knight, because this would contradict the claim of Isabella that Alexander is not a knight.", "Assume Alexander is a knave. No contradiction is found in their false claim that Amelia is a knight and Alexander is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that Samuel is a knave if and only if Isabella is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 6), ('telling-truth', 4)), ('not', ('telling-truth', 5)), ('<=>', ('lying', 4), ('telling-truth', 1)), ('<=>', ('telling-truth', 1), ('lying', 0)), ('and', ('lying', 0), ('lying', 3)), ('and', ('telling-truth', 3), ('telling-truth', 5)), ('and', ('lying', 4), ('telling-truth', 4)))", "index": 587}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Ella, Scarlett, Owen, Zoey, Charlotte, Amelia, and Oliver. Ella said, \"Scarlett is not a knave.\" Scarlett commented, \"Zoey is a knight or Amelia is a knave\". Owen expressed that Amelia is a knight or Oliver is a knave. Zoey told you that Charlotte is not a knave. Charlotte expressed that Oliver is a knave and Zoey is a knight. As Amelia put it, \"Scarlett is a knight and Charlotte is a knight\". Oliver was heard saying, \"If Ella is a knight then Scarlett is a knight\". So who is a knight and who is a knave?", "names": ["Ella", "Scarlett", "Owen", "Zoey", "Charlotte", "Amelia", "Oliver"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false, false, false, true], "solution_text": "Ella is a knight, Scarlett is a knight, Owen is a knave, Zoey is a knave, Charlotte is a knave, Amelia is a knave, and Oliver is a knight.", "solution_text_format": "(1) Ella is a knight\n(2) Scarlett is a knight\n(3) Owen is a knave\n(4) Zoey is a knave\n(5) Charlotte is a knave\n(6) Amelia is a knave\n(7) Oliver is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ella is a knight. No contradiction is found in their claim that Scarlett is not a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that Zoey is a knight or Amelia is a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that Charlotte is not a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that Oliver is a knave and Zoey is a knight.", "Oliver cannot be a knight, because this would contradict the claim of Charlotte that Oliver is a knave and Zoey is a knight.", "Oliver cannot be a knave, because this would contradict the false claim of their own that If Ella is a knight then Scarlett is a knight.", "We have exhausted all possibilities for Oliver, so let us go back and reconsider Charlotte.", "Charlotte cannot be a knave, because this would contradict the claim of Zoey that Charlotte is not a knave.", "We have exhausted all possibilities for Charlotte, so let us go back and reconsider Zoey.", "Assume Zoey is a knave. No contradiction is found in their false claim that Charlotte is not a knave.", "Charlotte cannot be a knight, because this would contradict the false claim of Zoey that Charlotte is not a knave.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Oliver is a knave and Zoey is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that If Ella is a knight then Scarlett is a knight.", "Amelia cannot be a knight, because this would contradict the claim of Scarlett that Zoey is a knight or Amelia is a knave.", "Assume Amelia is a knave. No contradiction is found in their false claim that Scarlett is a knight and Charlotte is a knight.", "Owen cannot be a knight, because this would contradict the claim of their own that Amelia is a knight or Oliver is a knave.", "Assume Owen is a knave. No contradiction is found in their false claim that Amelia is a knight or Oliver is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 1)), ('or', ('telling-truth', 3), ('lying', 5)), ('or', ('telling-truth', 5), ('lying', 6)), ('not', ('lying', 4)), ('and', ('lying', 6), ('telling-truth', 3)), ('and', ('telling-truth', 1), ('telling-truth', 4)), ('->', ('telling-truth', 0), ('telling-truth', 1)))", "index": 588}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Abigail, Aurora, Ethan, Lily, James, David, and Henry. In a statement by Abigail: \"David is a knave or Aurora is a knave\". Aurora stated, \"Ethan is not a knight\". \"James is a knight if and only if Aurora is a knight,\" Ethan declared. \"James is a knight or James is a knave,\" Lily claimed. \"If Abigail is a knave then David is a knave,\" James declared. According to David, \"Aurora is a knight and Abigail is a knave\". Henry remarked, \"Ethan is a knave\". So who is a knight and who is a knave?", "names": ["Abigail", "Aurora", "Ethan", "Lily", "James", "David", "Henry"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true, false, true, true], "solution_text": "Abigail is a knave, Aurora is a knight, Ethan is a knave, Lily is a knight, James is a knave, David is a knight, and Henry is a knight.", "solution_text_format": "(1) Abigail is a knave\n(2) Aurora is a knight\n(3) Ethan is a knave\n(4) Lily is a knight\n(5) James is a knave\n(6) David is a knight\n(7) Henry is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Abigail is a knight. No contradiction is found in their claim that David is a knave or Aurora is a knave.", "David cannot be a knight, because this would contradict the claim of their own that Aurora is a knight and Abigail is a knave.", "Assume David is a knave. No contradiction is found in their false claim that Aurora is a knight and Abigail is a knave.", "Assume Aurora is a knight. No contradiction is found in their claim that Ethan is not a knight.", "Ethan cannot be a knight, because this would contradict the claim of Aurora that Ethan is not a knight.", "Assume Ethan is a knave. No contradiction is found in their false claim that James is a knight if and only if Aurora is a knight.", "James cannot be a knight, because this would contradict the false claim of Ethan that James is a knight if and only if Aurora is a knight.", "James cannot be a knave, because this would contradict the false claim of their own that If Abigail is a knave then David is a knave.", "We have exhausted all possibilities for James and Ethan, so let us go back and reconsider Aurora.", "Assume Aurora is a knave. No contradiction is found in their false claim that Ethan is not a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that James is a knight if and only if Aurora is a knight.", "James cannot be a knight, because this would contradict the claim of Ethan that James is a knight if and only if Aurora is a knight.", "James cannot be a knave, because this would contradict the false claim of their own that If Abigail is a knave then David is a knave.", "We have exhausted all possibilities for James, so let us go back and reconsider Ethan.", "Ethan cannot be a knave, because this would contradict the false claim of Aurora that Ethan is not a knight.", "We have exhausted all possibilities for Ethan, Aurora, and David, so let us go back and reconsider Abigail.", "Assume Abigail is a knave. No contradiction is found in their false claim that David is a knave or Aurora is a knave.", "Assume David is a knight. No contradiction is found in their claim that Aurora is a knight and Abigail is a knave.", "Assume Aurora is a knight. No contradiction is found in their claim that Ethan is not a knight.", "Ethan cannot be a knight, because this would contradict the claim of Aurora that Ethan is not a knight.", "Assume Ethan is a knave. No contradiction is found in their false claim that James is a knight if and only if Aurora is a knight.", "James cannot be a knight, because this would contradict the false claim of Ethan that James is a knight if and only if Aurora is a knight.", "Assume James is a knave. No contradiction is found in their false claim that If Abigail is a knave then David is a knave.", "Assume Lily is a knight. No contradiction is found in their claim that James is a knight or James is a knave.", "Assume Henry is a knight. No contradiction is found in their claim that Ethan is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 5), ('lying', 1)), ('not', ('telling-truth', 2)), ('<=>', ('telling-truth', 4), ('telling-truth', 1)), ('or', ('telling-truth', 4), ('lying', 4)), ('->', ('lying', 0), ('lying', 5)), ('and', ('telling-truth', 1), ('lying', 0)), ('lying', 2))", "index": 589}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Sophia, Aurora, William, Ella, Noah, Daniel, and Chloe. Sophia told you that If Noah is a knave then Daniel is a knight. In a statement by Aurora: \"Daniel is a knave\". In a statement by William: \"Noah is a knave\". Ella commented, \"Sophia is a knight or Aurora is a knave\". \"Aurora is a knight or Daniel is a knave\" - Noah. \"If Aurora is a knave then William is a knight,\" Daniel mentioned. Chloe was heard saying, \"Sophia is a knight or Daniel is a knave\". So who is a knight and who is a knave?", "names": ["Sophia", "Aurora", "William", "Ella", "Noah", "Daniel", "Chloe"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, false, true, true], "solution_text": "Sophia is a knight, Aurora is a knave, William is a knight, Ella is a knight, Noah is a knave, Daniel is a knight, and Chloe is a knight.", "solution_text_format": "(1) Sophia is a knight\n(2) Aurora is a knave\n(3) William is a knight\n(4) Ella is a knight\n(5) Noah is a knave\n(6) Daniel is a knight\n(7) Chloe is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sophia is a knight. No contradiction is found in their claim that If Noah is a knave then Daniel is a knight.", "Assume Noah is a knight. No contradiction is found in their claim that Aurora is a knight or Daniel is a knave.", "Assume Aurora is a knight. No contradiction is found in their claim that Daniel is a knave.", "Daniel cannot be a knight, because this would contradict the claim of Aurora that Daniel is a knave.", "Daniel cannot be a knave, because this would contradict the false claim of their own that If Aurora is a knave then William is a knight.", "We have exhausted all possibilities for Daniel, so let us go back and reconsider Aurora.", "Assume Aurora is a knave. No contradiction is found in their false claim that Daniel is a knave.", "Daniel cannot be a knight, because this would contradict the claim of Noah that Aurora is a knight or Daniel is a knave.", "Daniel cannot be a knave, because this would contradict the false claim of Aurora that Daniel is a knave.", "We have exhausted all possibilities for Daniel and Aurora, so let us go back and reconsider Noah.", "Assume Noah is a knave. No contradiction is found in their false claim that Aurora is a knight or Daniel is a knave.", "Aurora cannot be a knight, because this would contradict the false claim of Noah that Aurora is a knight or Daniel is a knave.", "Assume Aurora is a knave. No contradiction is found in their false claim that Daniel is a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that If Aurora is a knave then William is a knight.", "Assume William is a knight. No contradiction is found in their claim that Noah is a knave.", "Assume Ella is a knight. No contradiction is found in their claim that Sophia is a knight or Aurora is a knave.", "Assume Chloe is a knight. No contradiction is found in their claim that Sophia is a knight or Daniel is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 4), ('telling-truth', 5)), ('lying', 5), ('lying', 4), ('or', ('telling-truth', 0), ('lying', 1)), ('or', ('telling-truth', 1), ('lying', 5)), ('->', ('lying', 1), ('telling-truth', 2)), ('or', ('telling-truth', 0), ('lying', 5)))", "index": 590}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Owen, Amelia, Daniel, Luke, Sebastian, Scarlett, and Joseph. Owen said that If Daniel is a knave then Scarlett is a knave. According to Amelia, \"If Joseph is a knight then Daniel is a knave\". Daniel expressed that Scarlett is not a knave. Luke noted, \"Daniel is not a knave\". In Sebastian's words: \"Amelia is a knave and Scarlett is a knave\". Scarlett stated, \"If Daniel is a knight then Amelia is a knave\". \"Owen is not a knave\" - Joseph. So who is a knight and who is a knave?", "names": ["Owen", "Amelia", "Daniel", "Luke", "Sebastian", "Scarlett", "Joseph"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, false, true, true], "solution_text": "Owen is a knight, Amelia is a knave, Daniel is a knight, Luke is a knight, Sebastian is a knave, Scarlett is a knight, and Joseph is a knight.", "solution_text_format": "(1) Owen is a knight\n(2) Amelia is a knave\n(3) Daniel is a knight\n(4) Luke is a knight\n(5) Sebastian is a knave\n(6) Scarlett is a knight\n(7) Joseph is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Owen is a knight. No contradiction is found in their claim that If Daniel is a knave then Scarlett is a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that Scarlett is not a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that If Daniel is a knight then Amelia is a knave.", "Amelia cannot be a knight, because this would contradict the claim of Scarlett that If Daniel is a knight then Amelia is a knave.", "Assume Amelia is a knave. No contradiction is found in their false claim that If Joseph is a knight then Daniel is a knave.", "Assume Joseph is a knight. No contradiction is found in their claim that Owen is not a knave.", "Assume Luke is a knight. No contradiction is found in their claim that Daniel is not a knave.", "Sebastian cannot be a knight, because this would contradict the claim of their own that Amelia is a knave and Scarlett is a knave.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Amelia is a knave and Scarlett is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 2), ('lying', 5)), ('->', ('telling-truth', 6), ('lying', 2)), ('not', ('lying', 5)), ('not', ('lying', 2)), ('and', ('lying', 1), ('lying', 5)), ('->', ('telling-truth', 2), ('lying', 1)), ('not', ('lying', 0)))", "index": 591}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Isabella, Joseph, Victoria, Aria, Avery, Penelope, and Liam. Isabella was heard saying, \"Penelope is not a knave\". Joseph said, \"Aria is a knave.\" Victoria was heard saying, \"Joseph is a knight\". According to Aria, \"Liam is a knight\". Avery told you that Isabella is a knight. In Penelope's words: \"Liam is a knave\". \"Victoria is a knight if and only if Isabella is a knave,\" Liam claimed. So who is a knight and who is a knave?", "names": ["Isabella", "Joseph", "Victoria", "Aria", "Avery", "Penelope", "Liam"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false, true, true, false], "solution_text": "Isabella is a knight, Joseph is a knight, Victoria is a knight, Aria is a knave, Avery is a knight, Penelope is a knight, and Liam is a knave.", "solution_text_format": "(1) Isabella is a knight\n(2) Joseph is a knight\n(3) Victoria is a knight\n(4) Aria is a knave\n(5) Avery is a knight\n(6) Penelope is a knight\n(7) Liam is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Isabella is a knight. No contradiction is found in their claim that Penelope is not a knave.", "Assume Penelope is a knight. No contradiction is found in their claim that Liam is a knave.", "Liam cannot be a knight, because this would contradict the claim of Penelope that Liam is a knave.", "Assume Liam is a knave. No contradiction is found in their false claim that Victoria is a knight if and only if Isabella is a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that Joseph is a knight.", "Assume Joseph is a knight. No contradiction is found in their claim that Aria is a knave.", "Aria cannot be a knight, because this would contradict the claim of Joseph that Aria is a knave.", "Assume Aria is a knave. No contradiction is found in their false claim that Liam is a knight.", "Assume Avery is a knight. No contradiction is found in their claim that Isabella is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 5)), ('lying', 3), ('telling-truth', 1), ('telling-truth', 6), ('telling-truth', 0), ('lying', 6), ('<=>', ('telling-truth', 2), ('lying', 0)))", "index": 592}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Lily, Mason, Luke, Emma, Mia, Liam, and Aurora. Lily told you that Liam is a knight and Mason is a knight. In a statement by Mason: \"Lily is a knave and Luke is a knight\". \"Aurora is a knave if and only if Emma is a knight,\" Luke mentioned. \"If Luke is a knight then Aurora is a knave,\" Emma claimed. As Mia put it, \"Mason is a knave and Mason is a knight\". Liam said, \"Luke is a knight and Emma is a knave.\" Aurora said that If Mason is a knave then Emma is a knight. So who is a knight and who is a knave?", "names": ["Lily", "Mason", "Luke", "Emma", "Mia", "Liam", "Aurora"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true, false, false, true], "solution_text": "Lily is a knave, Mason is a knave, Luke is a knave, Emma is a knight, Mia is a knave, Liam is a knave, and Aurora is a knight.", "solution_text_format": "(1) Lily is a knave\n(2) Mason is a knave\n(3) Luke is a knave\n(4) Emma is a knight\n(5) Mia is a knave\n(6) Liam is a knave\n(7) Aurora is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Lily is a knight. No contradiction is found in their claim that Liam is a knight and Mason is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that Luke is a knight and Emma is a knave.", "Assume Luke is a knight. No contradiction is found in their claim that Aurora is a knave if and only if Emma is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that If Mason is a knave then Emma is a knight.", "Mason cannot be a knight, because this would contradict the claim of their own that Lily is a knave and Luke is a knight.", "Mason cannot be a knave, because this would contradict the claim of Lily that Liam is a knight and Mason is a knight.", "We have exhausted all possibilities for Mason, so let us go back and reconsider Aurora.", "Assume Aurora is a knave. No contradiction is found in their false claim that If Mason is a knave then Emma is a knight.", "Mason cannot be a knight, because this would contradict the claim of their own that Lily is a knave and Luke is a knight.", "Mason cannot be a knave, because this would contradict the claim of Lily that Liam is a knight and Mason is a knight.", "We have exhausted all possibilities for Mason and Aurora, so let us go back and reconsider Luke.", "Luke cannot be a knave, because this would contradict the claim of Liam that Luke is a knight and Emma is a knave.", "We have exhausted all possibilities for Luke, so let us go back and reconsider Liam.", "Liam cannot be a knave, because this would contradict the claim of Lily that Liam is a knight and Mason is a knight.", "We have exhausted all possibilities for Liam, so let us go back and reconsider Lily.", "Assume Lily is a knave. No contradiction is found in their false claim that Liam is a knight and Mason is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that Luke is a knight and Emma is a knave.", "Assume Luke is a knight. No contradiction is found in their claim that Aurora is a knave if and only if Emma is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that If Mason is a knave then Emma is a knight.", "Mason cannot be a knight, because this would contradict the false claim of Lily that Liam is a knight and Mason is a knight.", "Mason cannot be a knave, because this would contradict the false claim of their own that Lily is a knave and Luke is a knight.", "We have exhausted all possibilities for Mason, so let us go back and reconsider Aurora.", "Assume Aurora is a knave. No contradiction is found in their false claim that If Mason is a knave then Emma is a knight.", "Mason cannot be a knight, because this would contradict the false claim of Lily that Liam is a knight and Mason is a knight.", "Mason cannot be a knave, because this would contradict the false claim of their own that Lily is a knave and Luke is a knight.", "We have exhausted all possibilities for Mason and Aurora, so let us go back and reconsider Luke.", "Luke cannot be a knave, because this would contradict the claim of Liam that Luke is a knight and Emma is a knave.", "We have exhausted all possibilities for Luke, so let us go back and reconsider Liam.", "Assume Liam is a knave. No contradiction is found in their false claim that Luke is a knight and Emma is a knave.", "Assume Luke is a knight. No contradiction is found in their claim that Aurora is a knave if and only if Emma is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that If Mason is a knave then Emma is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that Lily is a knave and Luke is a knight.", "Emma cannot be a knight, because this would contradict the claim of Luke that Aurora is a knave if and only if Emma is a knight.", "Emma cannot be a knave, because this would contradict the false claim of Liam that Luke is a knight and Emma is a knave.", "We have exhausted all possibilities for Emma, so let us go back and reconsider Mason.", "Mason cannot be a knave, because this would contradict the false claim of their own that Lily is a knave and Luke is a knight.", "We have exhausted all possibilities for Mason, so let us go back and reconsider Aurora.", "Assume Aurora is a knave. No contradiction is found in their false claim that If Mason is a knave then Emma is a knight.", "Mason cannot be a knight, because this would contradict the false claim of Aurora that If Mason is a knave then Emma is a knight.", "Mason cannot be a knave, because this would contradict the false claim of their own that Lily is a knave and Luke is a knight.", "We have exhausted all possibilities for Mason and Aurora, so let us go back and reconsider Luke.", "Assume Luke is a knave. No contradiction is found in their false claim that Aurora is a knave if and only if Emma is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that If Mason is a knave then Emma is a knight.", "Mason cannot be a knight, because this would contradict the claim of their own that Lily is a knave and Luke is a knight.", "Assume Mason is a knave. No contradiction is found in their false claim that Lily is a knave and Luke is a knight.", "Assume Emma is a knight. No contradiction is found in their claim that If Luke is a knight then Aurora is a knave.", "Mia cannot be a knight, because this would contradict the claim of their own that Mason is a knave and Mason is a knight.", "Assume Mia is a knave. No contradiction is found in their false claim that Mason is a knave and Mason is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 5), ('telling-truth', 1)), ('and', ('lying', 0), ('telling-truth', 2)), ('<=>', ('lying', 6), ('telling-truth', 3)), ('->', ('telling-truth', 2), ('lying', 6)), ('and', ('lying', 1), ('telling-truth', 1)), ('and', ('telling-truth', 2), ('lying', 3)), ('->', ('lying', 1), ('telling-truth', 3)))", "index": 593}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Daniel, Victoria, Scarlett, Samuel, Sofia, Jack, and Harper. Daniel expressed that Samuel is a knave and Sofia is a knave. \"If Jack is a knave then Jack is a knight,\" Victoria mentioned. \"If Jack is a knight then Harper is a knight,\" Scarlett mentioned. \"Scarlett is a knight or Jack is a knight,\" Samuel declared. In a statement by Sofia: \"Harper is a knight if and only if Jack is a knight\". \"Daniel is a knave or Samuel is a knave,\" Jack claimed. In a statement by Harper: \"If Victoria is a knave then Scarlett is a knight\". So who is a knight and who is a knave?", "names": ["Daniel", "Victoria", "Scarlett", "Samuel", "Sofia", "Jack", "Harper"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, true, true, true], "solution_text": "Daniel is a knave, Victoria is a knight, Scarlett is a knight, Samuel is a knight, Sofia is a knight, Jack is a knight, and Harper is a knight.", "solution_text_format": "(1) Daniel is a knave\n(2) Victoria is a knight\n(3) Scarlett is a knight\n(4) Samuel is a knight\n(5) Sofia is a knight\n(6) Jack is a knight\n(7) Harper is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Daniel is a knight. No contradiction is found in their claim that Samuel is a knave and Sofia is a knave.", "Samuel cannot be a knight, because this would contradict the claim of Daniel that Samuel is a knave and Sofia is a knave.", "Assume Samuel is a knave. No contradiction is found in their false claim that Scarlett is a knight or Jack is a knight.", "Scarlett cannot be a knight, because this would contradict the false claim of Samuel that Scarlett is a knight or Jack is a knight.", "Assume Scarlett is a knave. No contradiction is found in their false claim that If Jack is a knight then Harper is a knight.", "Jack cannot be a knight, because this would contradict the false claim of Samuel that Scarlett is a knight or Jack is a knight.", "Jack cannot be a knave, because this would contradict the false claim of Scarlett that If Jack is a knight then Harper is a knight.", "We have exhausted all possibilities for Jack, Scarlett, and Samuel, so let us go back and reconsider Daniel.", "Assume Daniel is a knave. No contradiction is found in their false claim that Samuel is a knave and Sofia is a knave.", "Assume Samuel is a knight. No contradiction is found in their claim that Scarlett is a knight or Jack is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that If Jack is a knight then Harper is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that Daniel is a knave or Samuel is a knave.", "Assume Harper is a knight. No contradiction is found in their claim that If Victoria is a knave then Scarlett is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that If Jack is a knave then Jack is a knight.", "Assume Sofia is a knight. No contradiction is found in their claim that Harper is a knight if and only if Jack is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 3), ('lying', 4)), ('->', ('lying', 5), ('telling-truth', 5)), ('->', ('telling-truth', 5), ('telling-truth', 6)), ('or', ('telling-truth', 2), ('telling-truth', 5)), ('<=>', ('telling-truth', 6), ('telling-truth', 5)), ('or', ('lying', 0), ('lying', 3)), ('->', ('lying', 1), ('telling-truth', 2)))", "index": 594}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Scarlett, Jacob, Riley, William, Victoria, Avery, and Harper. \"William is a knight if and only if Avery is a knave,\" Scarlett mentioned. Jacob told you that Jacob is a knight if and only if William is a knight. \"If Avery is a knight then William is a knave,\" Riley declared. In William's words: \"Jacob is a knave if and only if Victoria is a knight\". Victoria was heard saying, \"Riley is a knight if and only if Harper is a knave\". In a statement by Avery: \"Harper is a knight and William is a knave\". Harper said, \"If Avery is a knight then Riley is a knight.\" So who is a knight and who is a knave?", "names": ["Scarlett", "Jacob", "Riley", "William", "Victoria", "Avery", "Harper"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, false, false, true], "solution_text": "Scarlett is a knight, Jacob is a knight, Riley is a knight, William is a knight, Victoria is a knave, Avery is a knave, and Harper is a knight.", "solution_text_format": "(1) Scarlett is a knight\n(2) Jacob is a knight\n(3) Riley is a knight\n(4) William is a knight\n(5) Victoria is a knave\n(6) Avery is a knave\n(7) Harper is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Scarlett is a knight. No contradiction is found in their claim that William is a knight if and only if Avery is a knave.", "Assume William is a knight. No contradiction is found in their claim that Jacob is a knave if and only if Victoria is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that Jacob is a knight if and only if William is a knight.", "Victoria cannot be a knight, because this would contradict the claim of William that Jacob is a knave if and only if Victoria is a knight.", "Assume Victoria is a knave. No contradiction is found in their false claim that Riley is a knight if and only if Harper is a knave.", "Assume Riley is a knight. No contradiction is found in their claim that If Avery is a knight then William is a knave.", "Avery cannot be a knight, because this would contradict the claim of Scarlett that William is a knight if and only if Avery is a knave.", "Assume Avery is a knave. No contradiction is found in their false claim that Harper is a knight and William is a knave.", "Assume Harper is a knight. No contradiction is found in their claim that If Avery is a knight then Riley is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 3), ('lying', 5)), ('<=>', ('telling-truth', 1), ('telling-truth', 3)), ('->', ('telling-truth', 5), ('lying', 3)), ('<=>', ('lying', 1), ('telling-truth', 4)), ('<=>', ('telling-truth', 2), ('lying', 6)), ('and', ('telling-truth', 6), ('lying', 3)), ('->', ('telling-truth', 5), ('telling-truth', 2)))", "index": 595}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Oliver, Riley, Samuel, Joseph, Jack, Noah, and William. In a statement by Oliver: \"If William is a knight then Samuel is a knight\". Riley said, \"Oliver is not a knight.\" Samuel said that If Joseph is a knave then Noah is a knave. \"If Samuel is a knight then William is a knave\" - Joseph. Jack expressed that If Riley is a knight then William is a knight. \"Riley is a knave or Jack is a knight,\" Noah mentioned. William expressed that Riley is a knight if and only if Jack is a knight. So who is a knight and who is a knave?", "names": ["Oliver", "Riley", "Samuel", "Joseph", "Jack", "Noah", "William"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, true, true, false], "solution_text": "Oliver is a knight, Riley is a knave, Samuel is a knight, Joseph is a knight, Jack is a knight, Noah is a knight, and William is a knave.", "solution_text_format": "(1) Oliver is a knight\n(2) Riley is a knave\n(3) Samuel is a knight\n(4) Joseph is a knight\n(5) Jack is a knight\n(6) Noah is a knight\n(7) William is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Oliver is a knight. No contradiction is found in their claim that If William is a knight then Samuel is a knight.", "Assume William is a knight. No contradiction is found in their claim that Riley is a knight if and only if Jack is a knight.", "Riley cannot be a knight, because this would contradict the claim of their own that Oliver is not a knight.", "Assume Riley is a knave. No contradiction is found in their false claim that Oliver is not a knight.", "Jack cannot be a knight, because this would contradict the claim of William that Riley is a knight if and only if Jack is a knight.", "Jack cannot be a knave, because this would contradict the false claim of their own that If Riley is a knight then William is a knight.", "We have exhausted all possibilities for Jack and Riley, so let us go back and reconsider William.", "Assume William is a knave. No contradiction is found in their false claim that Riley is a knight if and only if Jack is a knight.", "Riley cannot be a knight, because this would contradict the claim of their own that Oliver is not a knight.", "Assume Riley is a knave. No contradiction is found in their false claim that Oliver is not a knight.", "Assume Jack is a knight. No contradiction is found in their claim that If Riley is a knight then William is a knight.", "Assume Samuel is a knight. No contradiction is found in their claim that If Joseph is a knave then Noah is a knave.", "Assume Joseph is a knight. No contradiction is found in their claim that If Samuel is a knight then William is a knave.", "Assume Noah is a knight. No contradiction is found in their claim that Riley is a knave or Jack is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 6), ('telling-truth', 2)), ('not', ('telling-truth', 0)), ('->', ('lying', 3), ('lying', 5)), ('->', ('telling-truth', 2), ('lying', 6)), ('->', ('telling-truth', 1), ('telling-truth', 6)), ('or', ('lying', 1), ('telling-truth', 4)), ('<=>', ('telling-truth', 1), ('telling-truth', 4)))", "index": 596}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: William, Sofia, Elizabeth, Aria, Aiden, Scarlett, and Mason. William told you that Sofia is not a knight. Sofia remarked, \"If Elizabeth is a knave then William is a knave\". According to Elizabeth, \"Mason is a knight or Sofia is a knight\". As Aria put it, \"Scarlett is a knave if and only if Aria is a knight\". \"If Elizabeth is a knight then William is a knave,\" Aiden mentioned. Scarlett was heard saying, \"Aria is a knave or Mason is a knight\". Mason remarked, \"William is not a knight\". So who is a knight and who is a knave?", "names": ["William", "Sofia", "Elizabeth", "Aria", "Aiden", "Scarlett", "Mason"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, true, false, false], "solution_text": "William is a knight, Sofia is a knave, Elizabeth is a knave, Aria is a knight, Aiden is a knight, Scarlett is a knave, and Mason is a knave.", "solution_text_format": "(1) William is a knight\n(2) Sofia is a knave\n(3) Elizabeth is a knave\n(4) Aria is a knight\n(5) Aiden is a knight\n(6) Scarlett is a knave\n(7) Mason is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume William is a knight. No contradiction is found in their claim that Sofia is not a knight.", "Sofia cannot be a knight, because this would contradict the claim of William that Sofia is not a knight.", "Assume Sofia is a knave. No contradiction is found in their false claim that If Elizabeth is a knave then William is a knave.", "Elizabeth cannot be a knight, because this would contradict the false claim of Sofia that If Elizabeth is a knave then William is a knave.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Mason is a knight or Sofia is a knight.", "Mason cannot be a knight, because this would contradict the false claim of Elizabeth that Mason is a knight or Sofia is a knight.", "Assume Mason is a knave. No contradiction is found in their false claim that William is not a knight.", "Assume Aria is a knight. No contradiction is found in their claim that Scarlett is a knave if and only if Aria is a knight.", "Scarlett cannot be a knight, because this would contradict the claim of Aria that Scarlett is a knave if and only if Aria is a knight.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Aria is a knave or Mason is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that If Elizabeth is a knight then William is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('->', ('lying', 2), ('lying', 0)), ('or', ('telling-truth', 6), ('telling-truth', 1)), ('<=>', ('lying', 5), ('telling-truth', 3)), ('->', ('telling-truth', 2), ('lying', 0)), ('or', ('lying', 3), ('telling-truth', 6)), ('not', ('telling-truth', 0)))", "index": 597}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Avery, Penelope, Elizabeth, William, Michael, Victoria, and James. \"Victoria is a knave or Elizabeth is a knave,\" Avery mentioned. Penelope told you that Victoria is a knight. Elizabeth noted, \"Michael is a knave\". William was heard saying, \"Victoria is a knight and William is a knight\". In a statement by Michael: \"William is a knight if and only if Avery is a knave\". Victoria expressed that William is a knave and James is a knave. James expressed that Elizabeth is a knight. So who is a knight and who is a knave?", "names": ["Avery", "Penelope", "Elizabeth", "William", "Michael", "Victoria", "James"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false, true, true, false], "solution_text": "Avery is a knight, Penelope is a knight, Elizabeth is a knave, William is a knave, Michael is a knight, Victoria is a knight, and James is a knave.", "solution_text_format": "(1) Avery is a knight\n(2) Penelope is a knight\n(3) Elizabeth is a knave\n(4) William is a knave\n(5) Michael is a knight\n(6) Victoria is a knight\n(7) James is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Avery is a knight. No contradiction is found in their claim that Victoria is a knave or Elizabeth is a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that William is a knave and James is a knave.", "William cannot be a knight, because this would contradict the claim of Victoria that William is a knave and James is a knave.", "Assume William is a knave. No contradiction is found in their false claim that Victoria is a knight and William is a knight.", "James cannot be a knight, because this would contradict the claim of Victoria that William is a knave and James is a knave.", "Assume James is a knave. No contradiction is found in their false claim that Elizabeth is a knight.", "Elizabeth cannot be a knight, because this would contradict the claim of Avery that Victoria is a knave or Elizabeth is a knave.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Michael is a knave.", "Assume Michael is a knight. No contradiction is found in their claim that William is a knight if and only if Avery is a knave.", "Assume Penelope is a knight. No contradiction is found in their claim that Victoria is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 5), ('lying', 2)), ('telling-truth', 5), ('lying', 4), ('and', ('telling-truth', 5), ('telling-truth', 3)), ('<=>', ('telling-truth', 3), ('lying', 0)), ('and', ('lying', 3), ('lying', 6)), ('telling-truth', 2))", "index": 598}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Daniel, Jackson, Ethan, Evelyn, David, Henry, and Charlotte. According to Daniel, \"If Charlotte is a knave then Ethan is a knight\". In a statement by Jackson: \"Daniel is a knave if and only if Henry is a knight\". Ethan told you that Charlotte is not a knight. \"Jackson is a knave and Charlotte is a knave,\" Evelyn claimed. As David put it, \"Jackson is not a knave\". Henry noted, \"Charlotte is not a knave\". Charlotte stated, \"Evelyn is a knave\". So who is a knight and who is a knave?", "names": ["Daniel", "Jackson", "Ethan", "Evelyn", "David", "Henry", "Charlotte"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false, false, true, true], "solution_text": "Daniel is a knight, Jackson is a knave, Ethan is a knave, Evelyn is a knave, David is a knave, Henry is a knight, and Charlotte is a knight.", "solution_text_format": "(1) Daniel is a knight\n(2) Jackson is a knave\n(3) Ethan is a knave\n(4) Evelyn is a knave\n(5) David is a knave\n(6) Henry is a knight\n(7) Charlotte is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Daniel is a knight. No contradiction is found in their claim that If Charlotte is a knave then Ethan is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that Evelyn is a knave.", "Evelyn cannot be a knight, because this would contradict the claim of their own that Jackson is a knave and Charlotte is a knave.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Jackson is a knave and Charlotte is a knave.", "Assume Jackson is a knight. No contradiction is found in their claim that Daniel is a knave if and only if Henry is a knight.", "Henry cannot be a knight, because this would contradict the claim of Jackson that Daniel is a knave if and only if Henry is a knight.", "Henry cannot be a knave, because this would contradict the false claim of their own that Charlotte is not a knave.", "We have exhausted all possibilities for Henry, so let us go back and reconsider Jackson.", "Assume Jackson is a knave. No contradiction is found in their false claim that Daniel is a knave if and only if Henry is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that Charlotte is not a knave.", "Ethan cannot be a knight, because this would contradict the claim of their own that Charlotte is not a knight.", "Assume Ethan is a knave. No contradiction is found in their false claim that Charlotte is not a knight.", "David cannot be a knight, because this would contradict the claim of their own that Jackson is not a knave.", "Assume David is a knave. No contradiction is found in their false claim that Jackson is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 6), ('telling-truth', 2)), ('<=>', ('lying', 0), ('telling-truth', 5)), ('not', ('telling-truth', 6)), ('and', ('lying', 1), ('lying', 6)), ('not', ('lying', 1)), ('not', ('lying', 6)), ('lying', 3))", "index": 599}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Harper, Aria, Aiden, Benjamin, Jack, Abigail, and Grace. \"Abigail is a knave and Aiden is a knave,\" Harper claimed. Aria said, \"If Benjamin is a knight then Abigail is a knight.\" Aiden expressed that Jack is a knight if and only if Jack is a knave. Benjamin stated, \"Grace is a knave or Jack is a knight\". Jack expressed that Abigail is a knight or Abigail is a knave. Abigail asserted: \"Aria is a knave or Benjamin is a knight\". In a statement by Grace: \"Benjamin is not a knave\". So who is a knight and who is a knave?", "names": ["Harper", "Aria", "Aiden", "Benjamin", "Jack", "Abigail", "Grace"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true, true, true, true], "solution_text": "Harper is a knave, Aria is a knight, Aiden is a knave, Benjamin is a knight, Jack is a knight, Abigail is a knight, and Grace is a knight.", "solution_text_format": "(1) Harper is a knave\n(2) Aria is a knight\n(3) Aiden is a knave\n(4) Benjamin is a knight\n(5) Jack is a knight\n(6) Abigail is a knight\n(7) Grace is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Harper is a knight. No contradiction is found in their claim that Abigail is a knave and Aiden is a knave.", "Abigail cannot be a knight, because this would contradict the claim of Harper that Abigail is a knave and Aiden is a knave.", "Assume Abigail is a knave. No contradiction is found in their false claim that Aria is a knave or Benjamin is a knight.", "Assume Aria is a knight. No contradiction is found in their claim that If Benjamin is a knight then Abigail is a knight.", "Benjamin cannot be a knight, because this would contradict the claim of Aria that If Benjamin is a knight then Abigail is a knight.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Grace is a knave or Jack is a knight.", "Grace cannot be a knight, because this would contradict the claim of their own that Benjamin is not a knave.", "Grace cannot be a knave, because this would contradict the false claim of Benjamin that Grace is a knave or Jack is a knight.", "We have exhausted all possibilities for Grace and Benjamin, so let us go back and reconsider Aria.", "Aria cannot be a knave, because this would contradict the false claim of Abigail that Aria is a knave or Benjamin is a knight.", "We have exhausted all possibilities for Aria and Abigail, so let us go back and reconsider Harper.", "Assume Harper is a knave. No contradiction is found in their false claim that Abigail is a knave and Aiden is a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that Aria is a knave or Benjamin is a knight.", "Assume Aria is a knight. No contradiction is found in their claim that If Benjamin is a knight then Abigail is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that Grace is a knave or Jack is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that Benjamin is not a knave.", "Assume Jack is a knight. No contradiction is found in their claim that Abigail is a knight or Abigail is a knave.", "Aiden cannot be a knight, because this would contradict the claim of their own that Jack is a knight if and only if Jack is a knave.", "Assume Aiden is a knave. No contradiction is found in their false claim that Jack is a knight if and only if Jack is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 5), ('lying', 2)), ('->', ('telling-truth', 3), ('telling-truth', 5)), ('<=>', ('telling-truth', 4), ('lying', 4)), ('or', ('lying', 6), ('telling-truth', 4)), ('or', ('telling-truth', 5), ('lying', 5)), ('or', ('lying', 1), ('telling-truth', 3)), ('not', ('lying', 3)))", "index": 600}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Evelyn, Isabella, Emma, Michael, Emily, Mia, and Abigail. Evelyn remarked, \"Isabella is a knight and Emma is a knave\". As Isabella put it, \"If Emily is a knave then Abigail is a knave\". Emma said, \"If Emma is a knight then Emily is a knight.\" Michael said, \"Evelyn is a knight if and only if Isabella is a knight.\" Emily commented, \"If Michael is a knight then Mia is a knave\". \"Emily is a knight if and only if Emma is a knight,\" Mia declared. Abigail remarked, \"Michael is a knave if and only if Mia is a knave\". So who is a knight and who is a knave?", "names": ["Evelyn", "Isabella", "Emma", "Michael", "Emily", "Mia", "Abigail"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false, true, true, false], "solution_text": "Evelyn is a knave, Isabella is a knight, Emma is a knight, Michael is a knave, Emily is a knight, Mia is a knight, and Abigail is a knave.", "solution_text_format": "(1) Evelyn is a knave\n(2) Isabella is a knight\n(3) Emma is a knight\n(4) Michael is a knave\n(5) Emily is a knight\n(6) Mia is a knight\n(7) Abigail is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Evelyn is a knight. No contradiction is found in their claim that Isabella is a knight and Emma is a knave.", "Assume Isabella is a knight. No contradiction is found in their claim that If Emily is a knave then Abigail is a knave.", "Assume Emily is a knight. No contradiction is found in their claim that If Michael is a knight then Mia is a knave.", "Assume Michael is a knight. No contradiction is found in their claim that Evelyn is a knight if and only if Isabella is a knight.", "Mia cannot be a knight, because this would contradict the claim of Emily that If Michael is a knight then Mia is a knave.", "Assume Mia is a knave. No contradiction is found in their false claim that Emily is a knight if and only if Emma is a knight.", "Emma cannot be a knight, because this would contradict the claim of Evelyn that Isabella is a knight and Emma is a knave.", "Emma cannot be a knave, because this would contradict the false claim of their own that If Emma is a knight then Emily is a knight.", "We have exhausted all possibilities for Emma and Mia, so let us go back and reconsider Michael.", "Michael cannot be a knave, because this would contradict the false claim of their own that Evelyn is a knight if and only if Isabella is a knight.", "We have exhausted all possibilities for Michael, so let us go back and reconsider Emily.", "Assume Emily is a knave. No contradiction is found in their false claim that If Michael is a knight then Mia is a knave.", "Assume Michael is a knight. No contradiction is found in their claim that Evelyn is a knight if and only if Isabella is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that Emily is a knight if and only if Emma is a knight.", "Emma cannot be a knight, because this would contradict the claim of Evelyn that Isabella is a knight and Emma is a knave.", "Emma cannot be a knave, because this would contradict the false claim of their own that If Emma is a knight then Emily is a knight.", "We have exhausted all possibilities for Emma, so let us go back and reconsider Mia.", "Mia cannot be a knave, because this would contradict the false claim of Emily that If Michael is a knight then Mia is a knave.", "We have exhausted all possibilities for Mia, so let us go back and reconsider Michael.", "Michael cannot be a knave, because this would contradict the false claim of their own that Evelyn is a knight if and only if Isabella is a knight.", "We have exhausted all possibilities for Michael and Emily, so let us go back and reconsider Isabella.", "Isabella cannot be a knave, because this would contradict the claim of Evelyn that Isabella is a knight and Emma is a knave.", "We have exhausted all possibilities for Isabella, so let us go back and reconsider Evelyn.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Isabella is a knight and Emma is a knave.", "Assume Isabella is a knight. No contradiction is found in their claim that If Emily is a knave then Abigail is a knave.", "Assume Emily is a knight. No contradiction is found in their claim that If Michael is a knight then Mia is a knave.", "Michael cannot be a knight, because this would contradict the claim of their own that Evelyn is a knight if and only if Isabella is a knight.", "Assume Michael is a knave. No contradiction is found in their false claim that Evelyn is a knight if and only if Isabella is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that Emily is a knight if and only if Emma is a knight.", "Assume Emma is a knight. No contradiction is found in their claim that If Emma is a knight then Emily is a knight.", "Abigail cannot be a knight, because this would contradict the claim of their own that Michael is a knave if and only if Mia is a knave.", "Assume Abigail is a knave. No contradiction is found in their false claim that Michael is a knave if and only if Mia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('lying', 2)), ('->', ('lying', 4), ('lying', 6)), ('->', ('telling-truth', 2), ('telling-truth', 4)), ('<=>', ('telling-truth', 0), ('telling-truth', 1)), ('->', ('telling-truth', 3), ('lying', 5)), ('<=>', ('telling-truth', 4), ('telling-truth', 2)), ('<=>', ('lying', 3), ('lying', 5)))", "index": 601}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Chloe, Riley, Ella, Emily, Oliver, Penelope, and James. Chloe asserted: \"Riley is a knave\". Riley commented, \"Chloe is a knave and Chloe is a knight\". Ella commented, \"Chloe is a knave or Riley is a knight\". Emily told you that Chloe is a knight. Oliver told you that Riley is a knave. Penelope noted, \"James is a knight\". James stated, \"Ella is a knave and Emily is a knight\". So who is a knight and who is a knave?", "names": ["Chloe", "Riley", "Ella", "Emily", "Oliver", "Penelope", "James"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, true, true, true], "solution_text": "Chloe is a knight, Riley is a knave, Ella is a knave, Emily is a knight, Oliver is a knight, Penelope is a knight, and James is a knight.", "solution_text_format": "(1) Chloe is a knight\n(2) Riley is a knave\n(3) Ella is a knave\n(4) Emily is a knight\n(5) Oliver is a knight\n(6) Penelope is a knight\n(7) James is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Chloe is a knight. No contradiction is found in their claim that Riley is a knave.", "Riley cannot be a knight, because this would contradict the claim of Chloe that Riley is a knave.", "Assume Riley is a knave. No contradiction is found in their false claim that Chloe is a knave and Chloe is a knight.", "Ella cannot be a knight, because this would contradict the claim of their own that Chloe is a knave or Riley is a knight.", "Assume Ella is a knave. No contradiction is found in their false claim that Chloe is a knave or Riley is a knight.", "Assume Emily is a knight. No contradiction is found in their claim that Chloe is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that Riley is a knave.", "Assume Penelope is a knight. No contradiction is found in their claim that James is a knight.", "Assume James is a knight. No contradiction is found in their claim that Ella is a knave and Emily is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('and', ('lying', 0), ('telling-truth', 0)), ('or', ('lying', 0), ('telling-truth', 1)), ('telling-truth', 0), ('lying', 1), ('telling-truth', 6), ('and', ('lying', 2), ('telling-truth', 3)))", "index": 602}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Jackson, Joseph, Charlotte, David, Lily, Riley, and Mia. Jackson was heard saying, \"Joseph is a knave or Mia is a knight\". In a statement by Joseph: \"Jackson is not a knave\". Charlotte expressed that Lily is a knight and David is a knave. \"Mia is a knight,\" David declared. Lily said, \"Charlotte is a knight if and only if Riley is a knave.\" Riley stated, \"Jackson is a knight and Joseph is a knight\". Mia was heard saying, \"Charlotte is a knave\". So who is a knight and who is a knave?", "names": ["Jackson", "Joseph", "Charlotte", "David", "Lily", "Riley", "Mia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true, true, true, true], "solution_text": "Jackson is a knight, Joseph is a knight, Charlotte is a knave, David is a knight, Lily is a knight, Riley is a knight, and Mia is a knight.", "solution_text_format": "(1) Jackson is a knight\n(2) Joseph is a knight\n(3) Charlotte is a knave\n(4) David is a knight\n(5) Lily is a knight\n(6) Riley is a knight\n(7) Mia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jackson is a knight. No contradiction is found in their claim that Joseph is a knave or Mia is a knight.", "Assume Joseph is a knight. No contradiction is found in their claim that Jackson is not a knave.", "Assume Mia is a knight. No contradiction is found in their claim that Charlotte is a knave.", "Charlotte cannot be a knight, because this would contradict the claim of Mia that Charlotte is a knave.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Lily is a knight and David is a knave.", "Assume Lily is a knight. No contradiction is found in their claim that Charlotte is a knight if and only if Riley is a knave.", "Assume Riley is a knight. No contradiction is found in their claim that Jackson is a knight and Joseph is a knight.", "Assume David is a knight. No contradiction is found in their claim that Mia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('telling-truth', 6)), ('not', ('lying', 0)), ('and', ('telling-truth', 4), ('lying', 3)), ('telling-truth', 6), ('<=>', ('telling-truth', 2), ('lying', 5)), ('and', ('telling-truth', 0), ('telling-truth', 1)), ('lying', 2))", "index": 603}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Mason, Ava, William, Oliver, Matthew, Lucas, and Joseph. \"If Matthew is a knave then William is a knight,\" Mason declared. Ava expressed that If Matthew is a knight then Joseph is a knight. William noted, \"Joseph is a knave or Lucas is a knight\". Oliver said, \"Matthew is a knight.\" In a statement by Matthew: \"If Joseph is a knight then Lucas is a knave\". Lucas was heard saying, \"Joseph is a knight if and only if Ava is a knight\". Joseph expressed that Ava is a knight and Oliver is a knight. So who is a knight and who is a knave?", "names": ["Mason", "Ava", "William", "Oliver", "Matthew", "Lucas", "Joseph"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, true, true, false], "solution_text": "Mason is a knight, Ava is a knave, William is a knight, Oliver is a knight, Matthew is a knight, Lucas is a knight, and Joseph is a knave.", "solution_text_format": "(1) Mason is a knight\n(2) Ava is a knave\n(3) William is a knight\n(4) Oliver is a knight\n(5) Matthew is a knight\n(6) Lucas is a knight\n(7) Joseph is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Mason is a knight. No contradiction is found in their claim that If Matthew is a knave then William is a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that If Joseph is a knight then Lucas is a knave.", "Assume Joseph is a knight. No contradiction is found in their claim that Ava is a knight and Oliver is a knight.", "Assume Ava is a knight. No contradiction is found in their claim that If Matthew is a knight then Joseph is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that Matthew is a knight.", "Lucas cannot be a knight, because this would contradict the claim of Matthew that If Joseph is a knight then Lucas is a knave.", "Lucas cannot be a knave, because this would contradict the false claim of their own that Joseph is a knight if and only if Ava is a knight.", "We have exhausted all possibilities for Lucas, so let us go back and reconsider Oliver.", "Oliver cannot be a knave, because this would contradict the false claim of their own that Matthew is a knight.", "We have exhausted all possibilities for Oliver, so let us go back and reconsider Ava.", "Ava cannot be a knave, because this would contradict the false claim of their own that If Matthew is a knight then Joseph is a knight.", "We have exhausted all possibilities for Ava, so let us go back and reconsider Joseph.", "Assume Joseph is a knave. No contradiction is found in their false claim that Ava is a knight and Oliver is a knight.", "Ava cannot be a knight, because this would contradict the claim of their own that If Matthew is a knight then Joseph is a knight.", "Assume Ava is a knave. No contradiction is found in their false claim that If Matthew is a knight then Joseph is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that Matthew is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that Joseph is a knight if and only if Ava is a knight.", "Assume William is a knight. No contradiction is found in their claim that Joseph is a knave or Lucas is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 4), ('telling-truth', 2)), ('->', ('telling-truth', 4), ('telling-truth', 6)), ('or', ('lying', 6), ('telling-truth', 5)), ('telling-truth', 4), ('->', ('telling-truth', 6), ('lying', 5)), ('<=>', ('telling-truth', 6), ('telling-truth', 1)), ('and', ('telling-truth', 1), ('telling-truth', 3)))", "index": 604}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: James, Aurora, Scarlett, Lily, Abigail, Avery, and Henry. James expressed that Aurora is a knave or Avery is a knave. Aurora remarked, \"Abigail is a knave\". Scarlett stated, \"Abigail is not a knight\". Lily noted, \"If Avery is a knave then Scarlett is a knight\". Abigail expressed that James is not a knight. Avery stated, \"Lily is a knave\". Henry said, \"Scarlett is a knave if and only if Aurora is a knave.\" So who is a knight and who is a knave?", "names": ["James", "Aurora", "Scarlett", "Lily", "Abigail", "Avery", "Henry"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, false, false, true], "solution_text": "James is a knight, Aurora is a knight, Scarlett is a knight, Lily is a knight, Abigail is a knave, Avery is a knave, and Henry is a knight.", "solution_text_format": "(1) James is a knight\n(2) Aurora is a knight\n(3) Scarlett is a knight\n(4) Lily is a knight\n(5) Abigail is a knave\n(6) Avery is a knave\n(7) Henry is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume James is a knight. No contradiction is found in their claim that Aurora is a knave or Avery is a knave.", "Assume Aurora is a knight. No contradiction is found in their claim that Abigail is a knave.", "Abigail cannot be a knight, because this would contradict the claim of Aurora that Abigail is a knave.", "Assume Abigail is a knave. No contradiction is found in their false claim that James is not a knight.", "Avery cannot be a knight, because this would contradict the claim of James that Aurora is a knave or Avery is a knave.", "Assume Avery is a knave. No contradiction is found in their false claim that Lily is a knave.", "Assume Lily is a knight. No contradiction is found in their claim that If Avery is a knave then Scarlett is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that Abigail is not a knight.", "Assume Henry is a knight. No contradiction is found in their claim that Scarlett is a knave if and only if Aurora is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('lying', 5)), ('lying', 4), ('not', ('telling-truth', 4)), ('->', ('lying', 5), ('telling-truth', 2)), ('not', ('telling-truth', 0)), ('lying', 3), ('<=>', ('lying', 2), ('lying', 1)))", "index": 605}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Lucas, Matthew, Alexander, Avery, Emily, Michael, and Daniel. In a statement by Lucas: \"If Alexander is a knave then Matthew is a knight\". Matthew remarked, \"If Matthew is a knight then Michael is a knave\". Alexander told you that Michael is a knave or Avery is a knave. Avery asserted: \"Alexander is a knave and Daniel is a knave\". Emily told you that If Avery is a knave then Michael is a knave. According to Michael, \"Daniel is a knave or Michael is a knight\". Daniel noted, \"Alexander is not a knave\". So who is a knight and who is a knave?", "names": ["Lucas", "Matthew", "Alexander", "Avery", "Emily", "Michael", "Daniel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false, true, false, true], "solution_text": "Lucas is a knight, Matthew is a knight, Alexander is a knight, Avery is a knave, Emily is a knight, Michael is a knave, and Daniel is a knight.", "solution_text_format": "(1) Lucas is a knight\n(2) Matthew is a knight\n(3) Alexander is a knight\n(4) Avery is a knave\n(5) Emily is a knight\n(6) Michael is a knave\n(7) Daniel is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Lucas is a knight. No contradiction is found in their claim that If Alexander is a knave then Matthew is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that Michael is a knave or Avery is a knave.", "Assume Michael is a knight. No contradiction is found in their claim that Daniel is a knave or Michael is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that Alexander is not a knave.", "Avery cannot be a knight, because this would contradict the claim of Alexander that Michael is a knave or Avery is a knave.", "Assume Avery is a knave. No contradiction is found in their false claim that Alexander is a knave and Daniel is a knave.", "Matthew cannot be a knight, because this would contradict the claim of their own that If Matthew is a knight then Michael is a knave.", "Matthew cannot be a knave, because this would contradict the false claim of their own that If Matthew is a knight then Michael is a knave.", "We have exhausted all possibilities for Matthew and Avery, so let us go back and reconsider Daniel.", "Daniel cannot be a knave, because this would contradict the false claim of their own that Alexander is not a knave.", "We have exhausted all possibilities for Daniel, so let us go back and reconsider Michael.", "Assume Michael is a knave. No contradiction is found in their false claim that Daniel is a knave or Michael is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that Alexander is not a knave.", "Avery cannot be a knight, because this would contradict the claim of their own that Alexander is a knave and Daniel is a knave.", "Assume Avery is a knave. No contradiction is found in their false claim that Alexander is a knave and Daniel is a knave.", "Assume Matthew is a knight. No contradiction is found in their claim that If Matthew is a knight then Michael is a knave.", "Assume Emily is a knight. No contradiction is found in their claim that If Avery is a knave then Michael is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 2), ('telling-truth', 1)), ('->', ('telling-truth', 1), ('lying', 5)), ('or', ('lying', 5), ('lying', 3)), ('and', ('lying', 2), ('lying', 6)), ('->', ('lying', 3), ('lying', 5)), ('or', ('lying', 6), ('telling-truth', 5)), ('not', ('lying', 2)))", "index": 606}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Daniel, Harper, Chloe, Emma, Charlotte, Alexander, and Olivia. According to Daniel, \"Charlotte is a knave\". \"Emma is a knave or Charlotte is a knight,\" Harper mentioned. Chloe stated, \"Daniel is not a knave\". Emma was heard saying, \"Harper is a knight or Chloe is a knave\". Charlotte said, \"Olivia is a knight.\" \"If Harper is a knight then Olivia is a knave\" - Alexander. \"Charlotte is a knight if and only if Emma is a knight,\" Olivia declared. So who is a knight and who is a knave?", "names": ["Daniel", "Harper", "Chloe", "Emma", "Charlotte", "Alexander", "Olivia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true, true, false, true], "solution_text": "Daniel is a knave, Harper is a knight, Chloe is a knave, Emma is a knight, Charlotte is a knight, Alexander is a knave, and Olivia is a knight.", "solution_text_format": "(1) Daniel is a knave\n(2) Harper is a knight\n(3) Chloe is a knave\n(4) Emma is a knight\n(5) Charlotte is a knight\n(6) Alexander is a knave\n(7) Olivia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Daniel is a knight. No contradiction is found in their claim that Charlotte is a knave.", "Charlotte cannot be a knight, because this would contradict the claim of Daniel that Charlotte is a knave.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Olivia is a knight.", "Olivia cannot be a knight, because this would contradict the false claim of Charlotte that Olivia is a knight.", "Assume Olivia is a knave. No contradiction is found in their false claim that Charlotte is a knight if and only if Emma is a knight.", "Assume Emma is a knight. No contradiction is found in their claim that Harper is a knight or Chloe is a knave.", "Harper cannot be a knight, because this would contradict the claim of their own that Emma is a knave or Charlotte is a knight.", "Assume Harper is a knave. No contradiction is found in their false claim that Emma is a knave or Charlotte is a knight.", "Chloe cannot be a knight, because this would contradict the claim of Emma that Harper is a knight or Chloe is a knave.", "Chloe cannot be a knave, because this would contradict the false claim of their own that Daniel is not a knave.", "We have exhausted all possibilities for Chloe and Harper, so let us go back and reconsider Emma.", "Emma cannot be a knave, because this would contradict the false claim of Olivia that Charlotte is a knight if and only if Emma is a knight.", "We have exhausted all possibilities for Emma, Olivia, and Charlotte, so let us go back and reconsider Daniel.", "Assume Daniel is a knave. No contradiction is found in their false claim that Charlotte is a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that Olivia is a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that Charlotte is a knight if and only if Emma is a knight.", "Assume Emma is a knight. No contradiction is found in their claim that Harper is a knight or Chloe is a knave.", "Assume Harper is a knight. No contradiction is found in their claim that Emma is a knave or Charlotte is a knight.", "Chloe cannot be a knight, because this would contradict the claim of their own that Daniel is not a knave.", "Assume Chloe is a knave. No contradiction is found in their false claim that Daniel is not a knave.", "Alexander cannot be a knight, because this would contradict the claim of their own that If Harper is a knight then Olivia is a knave.", "Assume Alexander is a knave. No contradiction is found in their false claim that If Harper is a knight then Olivia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 4), ('or', ('lying', 3), ('telling-truth', 4)), ('not', ('lying', 0)), ('or', ('telling-truth', 1), ('lying', 2)), ('telling-truth', 6), ('->', ('telling-truth', 1), ('lying', 6)), ('<=>', ('telling-truth', 4), ('telling-truth', 3)))", "index": 607}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Emily, Jackson, Aiden, Liam, Charlotte, Amelia, and Aria. Emily said, \"Amelia is a knave or Liam is a knight.\" Jackson said that Aria is a knave. \"Charlotte is a knave and Aria is a knave,\" Aiden claimed. Liam expressed that Jackson is not a knight. Charlotte said, \"Amelia is a knight and Emily is a knight.\" Amelia noted, \"Amelia is a knight\". Aria told you that Liam is a knave or Charlotte is a knight. So who is a knight and who is a knave?", "names": ["Emily", "Jackson", "Aiden", "Liam", "Charlotte", "Amelia", "Aria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, true, true, true], "solution_text": "Emily is a knight, Jackson is a knave, Aiden is a knave, Liam is a knight, Charlotte is a knight, Amelia is a knight, and Aria is a knight.", "solution_text_format": "(1) Emily is a knight\n(2) Jackson is a knave\n(3) Aiden is a knave\n(4) Liam is a knight\n(5) Charlotte is a knight\n(6) Amelia is a knight\n(7) Aria is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Emily is a knight. No contradiction is found in their claim that Amelia is a knave or Liam is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that Amelia is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that Jackson is not a knight.", "Jackson cannot be a knight, because this would contradict the claim of Liam that Jackson is not a knight.", "Assume Jackson is a knave. No contradiction is found in their false claim that Aria is a knave.", "Assume Aria is a knight. No contradiction is found in their claim that Liam is a knave or Charlotte is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that Amelia is a knight and Emily is a knight.", "Aiden cannot be a knight, because this would contradict the claim of their own that Charlotte is a knave and Aria is a knave.", "Assume Aiden is a knave. No contradiction is found in their false claim that Charlotte is a knave and Aria is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 5), ('telling-truth', 3)), ('lying', 6), ('and', ('lying', 4), ('lying', 6)), ('not', ('telling-truth', 1)), ('and', ('telling-truth', 5), ('telling-truth', 0)), ('telling-truth', 5), ('or', ('lying', 3), ('telling-truth', 4)))", "index": 608}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Zoey, Ella, Grace, Elizabeth, Abigail, Joseph, and Benjamin. Zoey remarked, \"Benjamin is not a knave\". Ella said, \"Joseph is a knave or Abigail is a knave.\" \"Elizabeth is a knight and Abigail is a knave\" - Grace. In Elizabeth's words: \"Benjamin is a knave\". Abigail told you that Ella is a knight. Joseph commented, \"Ella is a knave and Abigail is a knight\". In Benjamin's words: \"Abigail is a knave\". So who is a knight and who is a knave?", "names": ["Zoey", "Ella", "Grace", "Elizabeth", "Abigail", "Joseph", "Benjamin"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true, true, false, false], "solution_text": "Zoey is a knave, Ella is a knight, Grace is a knave, Elizabeth is a knight, Abigail is a knight, Joseph is a knave, and Benjamin is a knave.", "solution_text_format": "(1) Zoey is a knave\n(2) Ella is a knight\n(3) Grace is a knave\n(4) Elizabeth is a knight\n(5) Abigail is a knight\n(6) Joseph is a knave\n(7) Benjamin is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Zoey is a knight. No contradiction is found in their claim that Benjamin is not a knave.", "Assume Benjamin is a knight. No contradiction is found in their claim that Abigail is a knave.", "Abigail cannot be a knight, because this would contradict the claim of Benjamin that Abigail is a knave.", "Assume Abigail is a knave. No contradiction is found in their false claim that Ella is a knight.", "Ella cannot be a knight, because this would contradict the false claim of Abigail that Ella is a knight.", "Ella cannot be a knave, because this would contradict the false claim of their own that Joseph is a knave or Abigail is a knave.", "We have exhausted all possibilities for Ella and Abigail, so let us go back and reconsider Benjamin.", "Benjamin cannot be a knave, because this would contradict the claim of Zoey that Benjamin is not a knave.", "We have exhausted all possibilities for Benjamin, so let us go back and reconsider Zoey.", "Assume Zoey is a knave. No contradiction is found in their false claim that Benjamin is not a knave.", "Benjamin cannot be a knight, because this would contradict the false claim of Zoey that Benjamin is not a knave.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Abigail is a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that Ella is a knight.", "Assume Ella is a knight. No contradiction is found in their claim that Joseph is a knave or Abigail is a knave.", "Joseph cannot be a knight, because this would contradict the claim of Ella that Joseph is a knave or Abigail is a knave.", "Assume Joseph is a knave. No contradiction is found in their false claim that Ella is a knave and Abigail is a knight.", "Grace cannot be a knight, because this would contradict the claim of their own that Elizabeth is a knight and Abigail is a knave.", "Assume Grace is a knave. No contradiction is found in their false claim that Elizabeth is a knight and Abigail is a knave.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Benjamin is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 6)), ('or', ('lying', 5), ('lying', 4)), ('and', ('telling-truth', 3), ('lying', 4)), ('lying', 6), ('telling-truth', 1), ('and', ('lying', 1), ('telling-truth', 4)), ('lying', 4))", "index": 609}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Lily, Joseph, Zoey, Aria, Matthew, Emily, and David. \"Aria is a knight if and only if Emily is a knight\" - Lily. According to Joseph, \"If Lily is a knave then Zoey is a knight\". \"If Lily is a knave then David is a knave,\" Zoey mentioned. In a statement by Aria: \"David is a knave if and only if David is a knight\". \"David is a knave and Joseph is a knave,\" Matthew declared. Emily noted, \"David is a knave\". \"Emily is a knave and Emily is a knight\" - David. So who is a knight and who is a knave?", "names": ["Lily", "Joseph", "Zoey", "Aria", "Matthew", "Emily", "David"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false, false, true, false], "solution_text": "Lily is a knave, Joseph is a knight, Zoey is a knight, Aria is a knave, Matthew is a knave, Emily is a knight, and David is a knave.", "solution_text_format": "(1) Lily is a knave\n(2) Joseph is a knight\n(3) Zoey is a knight\n(4) Aria is a knave\n(5) Matthew is a knave\n(6) Emily is a knight\n(7) David is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Lily is a knight. No contradiction is found in their claim that Aria is a knight if and only if Emily is a knight.", "Aria cannot be a knight, because this would contradict the claim of their own that David is a knave if and only if David is a knight.", "Assume Aria is a knave. No contradiction is found in their false claim that David is a knave if and only if David is a knight.", "David cannot be a knight, because this would contradict the claim of their own that Emily is a knave and Emily is a knight.", "Assume David is a knave. No contradiction is found in their false claim that Emily is a knave and Emily is a knight.", "Emily cannot be a knight, because this would contradict the claim of Lily that Aria is a knight if and only if Emily is a knight.", "Emily cannot be a knave, because this would contradict the false claim of their own that David is a knave.", "We have exhausted all possibilities for Emily, David, and Aria, so let us go back and reconsider Lily.", "Assume Lily is a knave. No contradiction is found in their false claim that Aria is a knight if and only if Emily is a knight.", "Aria cannot be a knight, because this would contradict the claim of their own that David is a knave if and only if David is a knight.", "Assume Aria is a knave. No contradiction is found in their false claim that David is a knave if and only if David is a knight.", "David cannot be a knight, because this would contradict the claim of their own that Emily is a knave and Emily is a knight.", "Assume David is a knave. No contradiction is found in their false claim that Emily is a knave and Emily is a knight.", "Assume Emily is a knight. No contradiction is found in their claim that David is a knave.", "Assume Joseph is a knight. No contradiction is found in their claim that If Lily is a knave then Zoey is a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that If Lily is a knave then David is a knave.", "Matthew cannot be a knight, because this would contradict the claim of their own that David is a knave and Joseph is a knave.", "Assume Matthew is a knave. No contradiction is found in their false claim that David is a knave and Joseph is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 3), ('telling-truth', 5)), ('->', ('lying', 0), ('telling-truth', 2)), ('->', ('lying', 0), ('lying', 6)), ('<=>', ('lying', 6), ('telling-truth', 6)), ('and', ('lying', 6), ('lying', 1)), ('lying', 6), ('and', ('lying', 5), ('telling-truth', 5)))", "index": 610}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Mia, Daniel, William, Scarlett, Luke, Mason, and Liam. \"Liam is a knight\" - Mia. Daniel was heard saying, \"Luke is a knave and William is a knave\". William was heard saying, \"Luke is a knave if and only if Scarlett is a knight\". \"Luke is a knave,\" Scarlett declared. Luke said, \"Liam is a knave.\" Mason remarked, \"Daniel is a knave if and only if Liam is a knave\". \"If Mia is a knave then Scarlett is a knave,\" Liam mentioned. So who is a knight and who is a knave?", "names": ["Mia", "Daniel", "William", "Scarlett", "Luke", "Mason", "Liam"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, false, false, true], "solution_text": "Mia is a knight, Daniel is a knave, William is a knight, Scarlett is a knight, Luke is a knave, Mason is a knave, and Liam is a knight.", "solution_text_format": "(1) Mia is a knight\n(2) Daniel is a knave\n(3) William is a knight\n(4) Scarlett is a knight\n(5) Luke is a knave\n(6) Mason is a knave\n(7) Liam is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Mia is a knight. No contradiction is found in their claim that Liam is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that If Mia is a knave then Scarlett is a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that Luke is a knave.", "Luke cannot be a knight, because this would contradict the claim of Scarlett that Luke is a knave.", "Assume Luke is a knave. No contradiction is found in their false claim that Liam is a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that Luke is a knave and William is a knave.", "William cannot be a knight, because this would contradict the claim of Daniel that Luke is a knave and William is a knave.", "William cannot be a knave, because this would contradict the false claim of their own that Luke is a knave if and only if Scarlett is a knight.", "We have exhausted all possibilities for William, so let us go back and reconsider Daniel.", "Assume Daniel is a knave. No contradiction is found in their false claim that Luke is a knave and William is a knave.", "Assume William is a knight. No contradiction is found in their claim that Luke is a knave if and only if Scarlett is a knight.", "Mason cannot be a knight, because this would contradict the claim of their own that Daniel is a knave if and only if Liam is a knave.", "Assume Mason is a knave. No contradiction is found in their false claim that Daniel is a knave if and only if Liam is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 6), ('and', ('lying', 4), ('lying', 2)), ('<=>', ('lying', 4), ('telling-truth', 3)), ('lying', 4), ('lying', 6), ('<=>', ('lying', 1), ('lying', 6)), ('->', ('lying', 0), ('lying', 3)))", "index": 611}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: David, Owen, Chloe, Jackson, Ava, Riley, and Sofia. \"Owen is a knave,\" David mentioned. Owen noted, \"Chloe is a knave or Riley is a knave\". \"If Sofia is a knave then David is a knave,\" Chloe mentioned. In a statement by Jackson: \"Riley is a knave\". Ava said, \"Owen is a knave.\" \"Jackson is a knight or Chloe is a knight,\" Riley declared. Sofia remarked, \"Owen is a knave and David is a knight\". So who is a knight and who is a knave?", "names": ["David", "Owen", "Chloe", "Jackson", "Ava", "Riley", "Sofia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false, true, true, true], "solution_text": "David is a knight, Owen is a knave, Chloe is a knight, Jackson is a knave, Ava is a knight, Riley is a knight, and Sofia is a knight.", "solution_text_format": "(1) David is a knight\n(2) Owen is a knave\n(3) Chloe is a knight\n(4) Jackson is a knave\n(5) Ava is a knight\n(6) Riley is a knight\n(7) Sofia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume David is a knight. No contradiction is found in their claim that Owen is a knave.", "Owen cannot be a knight, because this would contradict the claim of David that Owen is a knave.", "Assume Owen is a knave. No contradiction is found in their false claim that Chloe is a knave or Riley is a knave.", "Assume Chloe is a knight. No contradiction is found in their claim that If Sofia is a knave then David is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that Owen is a knave and David is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that Jackson is a knight or Chloe is a knight.", "Jackson cannot be a knight, because this would contradict the claim of their own that Riley is a knave.", "Assume Jackson is a knave. No contradiction is found in their false claim that Riley is a knave.", "Assume Ava is a knight. No contradiction is found in their claim that Owen is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('or', ('lying', 2), ('lying', 5)), ('->', ('lying', 6), ('lying', 0)), ('lying', 5), ('lying', 1), ('or', ('telling-truth', 3), ('telling-truth', 2)), ('and', ('lying', 1), ('telling-truth', 0)))", "index": 612}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Lucas, Samuel, Alexander, Lily, Mia, Ella, and David. Lucas commented, \"David is a knight and Ella is a knight\". As Samuel put it, \"Lucas is a knight if and only if Samuel is a knight\". Alexander stated, \"Mia is a knight if and only if Ella is a knave\". In a statement by Lily: \"Ella is a knave and Alexander is a knight\". According to Mia, \"Lily is a knave if and only if Samuel is a knight\". Ella noted, \"If Ella is a knight then Mia is a knight\". In a statement by David: \"Ella is a knight or Alexander is a knight\". So who is a knight and who is a knave?", "names": ["Lucas", "Samuel", "Alexander", "Lily", "Mia", "Ella", "David"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false, true, true, true], "solution_text": "Lucas is a knight, Samuel is a knight, Alexander is a knave, Lily is a knave, Mia is a knight, Ella is a knight, and David is a knight.", "solution_text_format": "(1) Lucas is a knight\n(2) Samuel is a knight\n(3) Alexander is a knave\n(4) Lily is a knave\n(5) Mia is a knight\n(6) Ella is a knight\n(7) David is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Lucas is a knight. No contradiction is found in their claim that David is a knight and Ella is a knight.", "Assume David is a knight. No contradiction is found in their claim that Ella is a knight or Alexander is a knight.", "Assume Ella is a knight. No contradiction is found in their claim that If Ella is a knight then Mia is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that Lily is a knave if and only if Samuel is a knight.", "Lily cannot be a knight, because this would contradict the claim of their own that Ella is a knave and Alexander is a knight.", "Assume Lily is a knave. No contradiction is found in their false claim that Ella is a knave and Alexander is a knight.", "Alexander cannot be a knight, because this would contradict the claim of their own that Mia is a knight if and only if Ella is a knave.", "Assume Alexander is a knave. No contradiction is found in their false claim that Mia is a knight if and only if Ella is a knave.", "Assume Samuel is a knight. No contradiction is found in their claim that Lucas is a knight if and only if Samuel is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 6), ('telling-truth', 5)), ('<=>', ('telling-truth', 0), ('telling-truth', 1)), ('<=>', ('telling-truth', 4), ('lying', 5)), ('and', ('lying', 5), ('telling-truth', 2)), ('<=>', ('lying', 3), ('telling-truth', 1)), ('->', ('telling-truth', 5), ('telling-truth', 4)), ('or', ('telling-truth', 5), ('telling-truth', 2)))", "index": 613}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Joseph, Evelyn, Olivia, Avery, Owen, Lucas, and Riley. In Joseph's words: \"Owen is a knight\". Evelyn expressed that Avery is a knave. In Olivia's words: \"Evelyn is a knave if and only if Avery is a knight\". Avery expressed that If Olivia is a knight then Owen is a knave. Owen said that If Joseph is a knave then Riley is a knight. Lucas asserted: \"Owen is not a knight\". Riley said that Joseph is not a knight. So who is a knight and who is a knave?", "names": ["Joseph", "Evelyn", "Olivia", "Avery", "Owen", "Lucas", "Riley"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false, true, false, false], "solution_text": "Joseph is a knight, Evelyn is a knight, Olivia is a knight, Avery is a knave, Owen is a knight, Lucas is a knave, and Riley is a knave.", "solution_text_format": "(1) Joseph is a knight\n(2) Evelyn is a knight\n(3) Olivia is a knight\n(4) Avery is a knave\n(5) Owen is a knight\n(6) Lucas is a knave\n(7) Riley is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Joseph is a knight. No contradiction is found in their claim that Owen is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that If Joseph is a knave then Riley is a knight.", "Riley cannot be a knight, because this would contradict the claim of their own that Joseph is not a knight.", "Assume Riley is a knave. No contradiction is found in their false claim that Joseph is not a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that Avery is a knave.", "Avery cannot be a knight, because this would contradict the claim of Evelyn that Avery is a knave.", "Assume Avery is a knave. No contradiction is found in their false claim that If Olivia is a knight then Owen is a knave.", "Assume Olivia is a knight. No contradiction is found in their claim that Evelyn is a knave if and only if Avery is a knight.", "Lucas cannot be a knight, because this would contradict the claim of their own that Owen is not a knight.", "Assume Lucas is a knave. No contradiction is found in their false claim that Owen is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 4), ('lying', 3), ('<=>', ('lying', 1), ('telling-truth', 3)), ('->', ('telling-truth', 2), ('lying', 4)), ('->', ('lying', 0), ('telling-truth', 6)), ('not', ('telling-truth', 4)), ('not', ('telling-truth', 0)))", "index": 614}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Sebastian, Daniel, Lily, William, Aurora, Riley, and Oliver. Sebastian commented, \"Oliver is a knight\". As Daniel put it, \"Riley is a knight if and only if Lily is a knight\". Lily said, \"If Sebastian is a knave then William is a knave.\" \"Lily is a knave if and only if Oliver is a knave,\" William declared. Aurora was heard saying, \"Oliver is not a knave\". Riley remarked, \"If Riley is a knight then William is a knight\". In Oliver's words: \"William is not a knave\". So who is a knight and who is a knave?", "names": ["Sebastian", "Daniel", "Lily", "William", "Aurora", "Riley", "Oliver"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, true, true, true], "solution_text": "Sebastian is a knight, Daniel is a knight, Lily is a knight, William is a knight, Aurora is a knight, Riley is a knight, and Oliver is a knight.", "solution_text_format": "(1) Sebastian is a knight\n(2) Daniel is a knight\n(3) Lily is a knight\n(4) William is a knight\n(5) Aurora is a knight\n(6) Riley is a knight\n(7) Oliver is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sebastian is a knight. No contradiction is found in their claim that Oliver is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that William is not a knave.", "Assume William is a knight. No contradiction is found in their claim that Lily is a knave if and only if Oliver is a knave.", "Assume Lily is a knight. No contradiction is found in their claim that If Sebastian is a knave then William is a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that Riley is a knight if and only if Lily is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that If Riley is a knight then William is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that Oliver is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 6), ('<=>', ('telling-truth', 5), ('telling-truth', 2)), ('->', ('lying', 0), ('lying', 3)), ('<=>', ('lying', 2), ('lying', 6)), ('not', ('lying', 6)), ('->', ('telling-truth', 5), ('telling-truth', 3)), ('not', ('lying', 3)))", "index": 615}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Emily, Isabella, Samuel, Victoria, Chloe, Zoey, and Matthew. Emily told you that Isabella is a knight and Samuel is a knight. \"Zoey is not a knave,\" Isabella claimed. Samuel noted, \"Emily is a knave\". Victoria said that Chloe is not a knave. As Chloe put it, \"Emily is not a knight\". According to Zoey, \"Chloe is a knight and Victoria is a knave\". \"Zoey is not a knight\" - Matthew. So who is a knight and who is a knave?", "names": ["Emily", "Isabella", "Samuel", "Victoria", "Chloe", "Zoey", "Matthew"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true, true, false, true], "solution_text": "Emily is a knave, Isabella is a knave, Samuel is a knight, Victoria is a knight, Chloe is a knight, Zoey is a knave, and Matthew is a knight.", "solution_text_format": "(1) Emily is a knave\n(2) Isabella is a knave\n(3) Samuel is a knight\n(4) Victoria is a knight\n(5) Chloe is a knight\n(6) Zoey is a knave\n(7) Matthew is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Emily is a knight. No contradiction is found in their claim that Isabella is a knight and Samuel is a knight.", "Assume Isabella is a knight. No contradiction is found in their claim that Zoey is not a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that Chloe is a knight and Victoria is a knave.", "Chloe cannot be a knight, because this would contradict the claim of their own that Emily is not a knight.", "Chloe cannot be a knave, because this would contradict the claim of Zoey that Chloe is a knight and Victoria is a knave.", "We have exhausted all possibilities for Chloe, so let us go back and reconsider Zoey.", "Zoey cannot be a knave, because this would contradict the claim of Isabella that Zoey is not a knave.", "We have exhausted all possibilities for Zoey, so let us go back and reconsider Isabella.", "Isabella cannot be a knave, because this would contradict the claim of Emily that Isabella is a knight and Samuel is a knight.", "We have exhausted all possibilities for Isabella, so let us go back and reconsider Emily.", "Assume Emily is a knave. No contradiction is found in their false claim that Isabella is a knight and Samuel is a knight.", "Assume Isabella is a knight. No contradiction is found in their claim that Zoey is not a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that Chloe is a knight and Victoria is a knave.", "Assume Chloe is a knight. No contradiction is found in their claim that Emily is not a knight.", "Victoria cannot be a knight, because this would contradict the claim of Zoey that Chloe is a knight and Victoria is a knave.", "Victoria cannot be a knave, because this would contradict the false claim of their own that Chloe is not a knave.", "We have exhausted all possibilities for Victoria, so let us go back and reconsider Chloe.", "Chloe cannot be a knave, because this would contradict the false claim of their own that Emily is not a knight.", "We have exhausted all possibilities for Chloe, so let us go back and reconsider Zoey.", "Zoey cannot be a knave, because this would contradict the claim of Isabella that Zoey is not a knave.", "We have exhausted all possibilities for Zoey, so let us go back and reconsider Isabella.", "Assume Isabella is a knave. No contradiction is found in their false claim that Zoey is not a knave.", "Zoey cannot be a knight, because this would contradict the false claim of Isabella that Zoey is not a knave.", "Assume Zoey is a knave. No contradiction is found in their false claim that Chloe is a knight and Victoria is a knave.", "Assume Chloe is a knight. No contradiction is found in their claim that Emily is not a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that Chloe is not a knave.", "Assume Samuel is a knight. No contradiction is found in their claim that Emily is a knave.", "Assume Matthew is a knight. No contradiction is found in their claim that Zoey is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('telling-truth', 2)), ('not', ('lying', 5)), ('lying', 0), ('not', ('lying', 4)), ('not', ('telling-truth', 0)), ('and', ('telling-truth', 4), ('lying', 3)), ('not', ('telling-truth', 5)))", "index": 616}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Isabella, Owen, Emma, Avery, Lily, Ella, and Riley. In a statement by Isabella: \"Ella is a knave\". Owen said that Ella is not a knight. Emma told you that Lily is a knight or Isabella is a knave. Avery expressed that Owen is a knave and Ella is a knight. Lily commented, \"Lily is a knight and Avery is a knight\". Ella said, \"Avery is a knave or Lily is a knave.\" \"Isabella is a knave and Ella is a knight,\" Riley mentioned. So who is a knight and who is a knave?", "names": ["Isabella", "Owen", "Emma", "Avery", "Lily", "Ella", "Riley"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true, false, true, true], "solution_text": "Isabella is a knave, Owen is a knave, Emma is a knight, Avery is a knight, Lily is a knave, Ella is a knight, and Riley is a knight.", "solution_text_format": "(1) Isabella is a knave\n(2) Owen is a knave\n(3) Emma is a knight\n(4) Avery is a knight\n(5) Lily is a knave\n(6) Ella is a knight\n(7) Riley is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Isabella is a knight. No contradiction is found in their claim that Ella is a knave.", "Ella cannot be a knight, because this would contradict the claim of Isabella that Ella is a knave.", "Assume Ella is a knave. No contradiction is found in their false claim that Avery is a knave or Lily is a knave.", "Avery cannot be a knight, because this would contradict the claim of their own that Owen is a knave and Ella is a knight.", "Avery cannot be a knave, because this would contradict the false claim of Ella that Avery is a knave or Lily is a knave.", "We have exhausted all possibilities for Avery and Ella, so let us go back and reconsider Isabella.", "Assume Isabella is a knave. No contradiction is found in their false claim that Ella is a knave.", "Assume Ella is a knight. No contradiction is found in their claim that Avery is a knave or Lily is a knave.", "Assume Avery is a knight. No contradiction is found in their claim that Owen is a knave and Ella is a knight.", "Owen cannot be a knight, because this would contradict the claim of their own that Ella is not a knight.", "Assume Owen is a knave. No contradiction is found in their false claim that Ella is not a knight.", "Lily cannot be a knight, because this would contradict the claim of Ella that Avery is a knave or Lily is a knave.", "Assume Lily is a knave. No contradiction is found in their false claim that Lily is a knight and Avery is a knight.", "Assume Emma is a knight. No contradiction is found in their claim that Lily is a knight or Isabella is a knave.", "Assume Riley is a knight. No contradiction is found in their claim that Isabella is a knave and Ella is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 5), ('not', ('telling-truth', 5)), ('or', ('telling-truth', 4), ('lying', 0)), ('and', ('lying', 1), ('telling-truth', 5)), ('and', ('telling-truth', 4), ('telling-truth', 3)), ('or', ('lying', 3), ('lying', 4)), ('and', ('lying', 0), ('telling-truth', 5)))", "index": 617}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Lucas, Riley, Isabella, Joseph, Harper, James, and Liam. \"Liam is a knight or Lucas is a knight\" - Lucas. \"James is a knight if and only if James is a knave,\" Riley mentioned. According to Isabella, \"If Isabella is a knight then Harper is a knight\". In a statement by Joseph: \"If Liam is a knight then Isabella is a knight\". \"If Isabella is a knave then Joseph is a knave,\" Harper declared. James expressed that Harper is a knave if and only if Liam is a knave. In a statement by Liam: \"If Joseph is a knave then Riley is a knight\". So who is a knight and who is a knave?", "names": ["Lucas", "Riley", "Isabella", "Joseph", "Harper", "James", "Liam"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, true, true, true], "solution_text": "Lucas is a knight, Riley is a knave, Isabella is a knight, Joseph is a knight, Harper is a knight, James is a knight, and Liam is a knight.", "solution_text_format": "(1) Lucas is a knight\n(2) Riley is a knave\n(3) Isabella is a knight\n(4) Joseph is a knight\n(5) Harper is a knight\n(6) James is a knight\n(7) Liam is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Lucas is a knight. No contradiction is found in their claim that Liam is a knight or Lucas is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that If Joseph is a knave then Riley is a knight.", "Assume Joseph is a knight. No contradiction is found in their claim that If Liam is a knight then Isabella is a knight.", "Assume Isabella is a knight. No contradiction is found in their claim that If Isabella is a knight then Harper is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that If Isabella is a knave then Joseph is a knave.", "Riley cannot be a knight, because this would contradict the claim of their own that James is a knight if and only if James is a knave.", "Assume Riley is a knave. No contradiction is found in their false claim that James is a knight if and only if James is a knave.", "Assume James is a knight. No contradiction is found in their claim that Harper is a knave if and only if Liam is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 6), ('telling-truth', 0)), ('<=>', ('telling-truth', 5), ('lying', 5)), ('->', ('telling-truth', 2), ('telling-truth', 4)), ('->', ('telling-truth', 6), ('telling-truth', 2)), ('->', ('lying', 2), ('lying', 3)), ('<=>', ('lying', 4), ('lying', 6)), ('->', ('lying', 3), ('telling-truth', 1)))", "index": 618}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Ethan, Evelyn, Samuel, Noah, Sofia, Jack, and Charlotte. In Ethan's words: \"Samuel is a knight if and only if Jack is a knave\". In Evelyn's words: \"Charlotte is a knight if and only if Charlotte is a knave\". Samuel was heard saying, \"Jack is a knave if and only if Charlotte is a knight\". Noah commented, \"Charlotte is a knight\". Sofia commented, \"Evelyn is not a knight\". Jack noted, \"Samuel is a knave\". \"Noah is a knight and Jack is a knave\" - Charlotte. So who is a knight and who is a knave?", "names": ["Ethan", "Evelyn", "Samuel", "Noah", "Sofia", "Jack", "Charlotte"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, true, false, true], "solution_text": "Ethan is a knight, Evelyn is a knave, Samuel is a knight, Noah is a knight, Sofia is a knight, Jack is a knave, and Charlotte is a knight.", "solution_text_format": "(1) Ethan is a knight\n(2) Evelyn is a knave\n(3) Samuel is a knight\n(4) Noah is a knight\n(5) Sofia is a knight\n(6) Jack is a knave\n(7) Charlotte is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ethan is a knight. No contradiction is found in their claim that Samuel is a knight if and only if Jack is a knave.", "Assume Samuel is a knight. No contradiction is found in their claim that Jack is a knave if and only if Charlotte is a knight.", "Jack cannot be a knight, because this would contradict the claim of Ethan that Samuel is a knight if and only if Jack is a knave.", "Assume Jack is a knave. No contradiction is found in their false claim that Samuel is a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that Noah is a knight and Jack is a knave.", "Assume Noah is a knight. No contradiction is found in their claim that Charlotte is a knight.", "Evelyn cannot be a knight, because this would contradict the claim of their own that Charlotte is a knight if and only if Charlotte is a knave.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Charlotte is a knight if and only if Charlotte is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that Evelyn is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 2), ('lying', 5)), ('<=>', ('telling-truth', 6), ('lying', 6)), ('<=>', ('lying', 5), ('telling-truth', 6)), ('telling-truth', 6), ('not', ('telling-truth', 1)), ('lying', 2), ('and', ('telling-truth', 3), ('lying', 5)))", "index": 619}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Michael, Abigail, Aria, Chloe, Zoey, David, and Logan. Michael commented, \"Zoey is a knave or Aria is a knave\". As Abigail put it, \"Aria is not a knight\". \"Logan is a knight if and only if Abigail is a knight,\" Aria declared. Chloe noted, \"Zoey is a knight\". Zoey remarked, \"Abigail is a knave\". In a statement by David: \"Aria is a knave\". Logan was heard saying, \"Zoey is a knight\". So who is a knight and who is a knave?", "names": ["Michael", "Abigail", "Aria", "Chloe", "Zoey", "David", "Logan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false, false, true, false], "solution_text": "Michael is a knight, Abigail is a knight, Aria is a knave, Chloe is a knave, Zoey is a knave, David is a knight, and Logan is a knave.", "solution_text_format": "(1) Michael is a knight\n(2) Abigail is a knight\n(3) Aria is a knave\n(4) Chloe is a knave\n(5) Zoey is a knave\n(6) David is a knight\n(7) Logan is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Michael is a knight. No contradiction is found in their claim that Zoey is a knave or Aria is a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that Abigail is a knave.", "Abigail cannot be a knight, because this would contradict the claim of Zoey that Abigail is a knave.", "Assume Abigail is a knave. No contradiction is found in their false claim that Aria is not a knight.", "Aria cannot be a knight, because this would contradict the claim of Michael that Zoey is a knave or Aria is a knave.", "Aria cannot be a knave, because this would contradict the false claim of Abigail that Aria is not a knight.", "We have exhausted all possibilities for Aria and Abigail, so let us go back and reconsider Zoey.", "Assume Zoey is a knave. No contradiction is found in their false claim that Abigail is a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that Aria is not a knight.", "Aria cannot be a knight, because this would contradict the claim of Abigail that Aria is not a knight.", "Assume Aria is a knave. No contradiction is found in their false claim that Logan is a knight if and only if Abigail is a knight.", "Logan cannot be a knight, because this would contradict the false claim of Aria that Logan is a knight if and only if Abigail is a knight.", "Assume Logan is a knave. No contradiction is found in their false claim that Zoey is a knight.", "Chloe cannot be a knight, because this would contradict the claim of their own that Zoey is a knight.", "Assume Chloe is a knave. No contradiction is found in their false claim that Zoey is a knight.", "Assume David is a knight. No contradiction is found in their claim that Aria is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 4), ('lying', 2)), ('not', ('telling-truth', 2)), ('<=>', ('telling-truth', 6), ('telling-truth', 1)), ('telling-truth', 4), ('lying', 1), ('lying', 2), ('telling-truth', 4))", "index": 620}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Michael, Jackson, Alexander, Aiden, Abigail, Zoey, and Joseph. Michael remarked, \"Zoey is a knave if and only if Jackson is a knave\". As Jackson put it, \"Zoey is a knight if and only if Abigail is a knave\". Alexander stated, \"Michael is a knave and Aiden is a knave\". In a statement by Aiden: \"Joseph is a knight or Zoey is a knave\". As Abigail put it, \"Zoey is not a knave\". Zoey commented, \"Abigail is a knave or Alexander is a knave\". Joseph asserted: \"If Abigail is a knave then Alexander is a knave\". So who is a knight and who is a knave?", "names": ["Michael", "Jackson", "Alexander", "Aiden", "Abigail", "Zoey", "Joseph"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true, true, true, true], "solution_text": "Michael is a knave, Jackson is a knave, Alexander is a knave, Aiden is a knight, Abigail is a knight, Zoey is a knight, and Joseph is a knight.", "solution_text_format": "(1) Michael is a knave\n(2) Jackson is a knave\n(3) Alexander is a knave\n(4) Aiden is a knight\n(5) Abigail is a knight\n(6) Zoey is a knight\n(7) Joseph is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Michael is a knight. No contradiction is found in their claim that Zoey is a knave if and only if Jackson is a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that Abigail is a knave or Alexander is a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that Zoey is not a knave.", "Alexander cannot be a knight, because this would contradict the claim of their own that Michael is a knave and Aiden is a knave.", "Assume Alexander is a knave. No contradiction is found in their false claim that Michael is a knave and Aiden is a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that Joseph is a knight or Zoey is a knave.", "Assume Joseph is a knight. No contradiction is found in their claim that If Abigail is a knave then Alexander is a knave.", "Jackson cannot be a knight, because this would contradict the claim of their own that Zoey is a knight if and only if Abigail is a knave.", "Jackson cannot be a knave, because this would contradict the claim of Michael that Zoey is a knave if and only if Jackson is a knave.", "We have exhausted all possibilities for Jackson, so let us go back and reconsider Joseph.", "Joseph cannot be a knave, because this would contradict the claim of Aiden that Joseph is a knight or Zoey is a knave.", "We have exhausted all possibilities for Joseph, so let us go back and reconsider Aiden.", "Assume Aiden is a knave. No contradiction is found in their false claim that Joseph is a knight or Zoey is a knave.", "Joseph cannot be a knight, because this would contradict the false claim of Aiden that Joseph is a knight or Zoey is a knave.", "Joseph cannot be a knave, because this would contradict the false claim of their own that If Abigail is a knave then Alexander is a knave.", "We have exhausted all possibilities for Joseph, Aiden, and Alexander, so let us go back and reconsider Abigail.", "Abigail cannot be a knave, because this would contradict the false claim of their own that Zoey is not a knave.", "We have exhausted all possibilities for Abigail, so let us go back and reconsider Zoey.", "Assume Zoey is a knave. No contradiction is found in their false claim that Abigail is a knave or Alexander is a knave.", "Abigail cannot be a knight, because this would contradict the claim of their own that Zoey is not a knave.", "Abigail cannot be a knave, because this would contradict the false claim of Zoey that Abigail is a knave or Alexander is a knave.", "We have exhausted all possibilities for Abigail and Zoey, so let us go back and reconsider Michael.", "Assume Michael is a knave. No contradiction is found in their false claim that Zoey is a knave if and only if Jackson is a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that Abigail is a knave or Alexander is a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that Zoey is not a knave.", "Alexander cannot be a knight, because this would contradict the claim of Zoey that Abigail is a knave or Alexander is a knave.", "Assume Alexander is a knave. No contradiction is found in their false claim that Michael is a knave and Aiden is a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that Joseph is a knight or Zoey is a knave.", "Assume Joseph is a knight. No contradiction is found in their claim that If Abigail is a knave then Alexander is a knave.", "Jackson cannot be a knight, because this would contradict the false claim of Michael that Zoey is a knave if and only if Jackson is a knave.", "Assume Jackson is a knave. No contradiction is found in their false claim that Zoey is a knight if and only if Abigail is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 5), ('lying', 1)), ('<=>', ('telling-truth', 5), ('lying', 4)), ('and', ('lying', 0), ('lying', 3)), ('or', ('telling-truth', 6), ('lying', 5)), ('not', ('lying', 5)), ('or', ('lying', 4), ('lying', 2)), ('->', ('lying', 4), ('lying', 2)))", "index": 621}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Joseph, Owen, Ethan, Oliver, Logan, Henry, and Daniel. Joseph expressed that Daniel is not a knave. In Owen's words: \"Henry is a knave or Ethan is a knave\". As Ethan put it, \"Henry is a knight\". Oliver asserted: \"Henry is a knight\". Logan remarked, \"Ethan is not a knave\". Henry commented, \"Joseph is not a knave\". In a statement by Daniel: \"Oliver is a knight or Ethan is a knave\". So who is a knight and who is a knave?", "names": ["Joseph", "Owen", "Ethan", "Oliver", "Logan", "Henry", "Daniel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, true, true, true], "solution_text": "Joseph is a knight, Owen is a knave, Ethan is a knight, Oliver is a knight, Logan is a knight, Henry is a knight, and Daniel is a knight.", "solution_text_format": "(1) Joseph is a knight\n(2) Owen is a knave\n(3) Ethan is a knight\n(4) Oliver is a knight\n(5) Logan is a knight\n(6) Henry is a knight\n(7) Daniel is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Joseph is a knight. No contradiction is found in their claim that Daniel is not a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that Oliver is a knight or Ethan is a knave.", "Assume Oliver is a knight. No contradiction is found in their claim that Henry is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that Joseph is not a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that Henry is a knight.", "Owen cannot be a knight, because this would contradict the claim of their own that Henry is a knave or Ethan is a knave.", "Assume Owen is a knave. No contradiction is found in their false claim that Henry is a knave or Ethan is a knave.", "Assume Logan is a knight. No contradiction is found in their claim that Ethan is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 6)), ('or', ('lying', 5), ('lying', 2)), ('telling-truth', 5), ('telling-truth', 5), ('not', ('lying', 2)), ('not', ('lying', 0)), ('or', ('telling-truth', 3), ('lying', 2)))", "index": 622}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Logan, Henry, Jacob, Benjamin, Riley, Scarlett, and Evelyn. Logan expressed that Jacob is a knight or Benjamin is a knight. Henry was heard saying, \"Logan is a knight and Riley is a knave\". According to Jacob, \"Jacob is a knight and Evelyn is a knight\". As Benjamin put it, \"Jacob is a knave and Evelyn is a knave\". Riley said, \"Jacob is a knave and Benjamin is a knave.\" Scarlett said, \"Jacob is not a knight.\" As Evelyn put it, \"Scarlett is not a knave\". So who is a knight and who is a knave?", "names": ["Logan", "Henry", "Jacob", "Benjamin", "Riley", "Scarlett", "Evelyn"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, false, true, true, true], "solution_text": "Logan is a knave, Henry is a knave, Jacob is a knave, Benjamin is a knave, Riley is a knight, Scarlett is a knight, and Evelyn is a knight.", "solution_text_format": "(1) Logan is a knave\n(2) Henry is a knave\n(3) Jacob is a knave\n(4) Benjamin is a knave\n(5) Riley is a knight\n(6) Scarlett is a knight\n(7) Evelyn is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Logan is a knight. No contradiction is found in their claim that Jacob is a knight or Benjamin is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that Jacob is a knight and Evelyn is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that Scarlett is not a knave.", "Scarlett cannot be a knight, because this would contradict the claim of their own that Jacob is not a knight.", "Scarlett cannot be a knave, because this would contradict the claim of Evelyn that Scarlett is not a knave.", "We have exhausted all possibilities for Scarlett, so let us go back and reconsider Evelyn.", "Evelyn cannot be a knave, because this would contradict the claim of Jacob that Jacob is a knight and Evelyn is a knight.", "We have exhausted all possibilities for Evelyn, so let us go back and reconsider Jacob.", "Assume Jacob is a knave. No contradiction is found in their false claim that Jacob is a knight and Evelyn is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that Scarlett is not a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that Jacob is not a knight.", "Benjamin cannot be a knight, because this would contradict the claim of their own that Jacob is a knave and Evelyn is a knave.", "Benjamin cannot be a knave, because this would contradict the claim of Logan that Jacob is a knight or Benjamin is a knight.", "We have exhausted all possibilities for Benjamin, so let us go back and reconsider Scarlett.", "Scarlett cannot be a knave, because this would contradict the false claim of their own that Jacob is not a knight.", "We have exhausted all possibilities for Scarlett, so let us go back and reconsider Evelyn.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Scarlett is not a knave.", "Scarlett cannot be a knight, because this would contradict the false claim of Evelyn that Scarlett is not a knave.", "Scarlett cannot be a knave, because this would contradict the false claim of their own that Jacob is not a knight.", "We have exhausted all possibilities for Scarlett, Evelyn, and Jacob, so let us go back and reconsider Logan.", "Assume Logan is a knave. No contradiction is found in their false claim that Jacob is a knight or Benjamin is a knight.", "Jacob cannot be a knight, because this would contradict the false claim of Logan that Jacob is a knight or Benjamin is a knight.", "Assume Jacob is a knave. No contradiction is found in their false claim that Jacob is a knight and Evelyn is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that Scarlett is not a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that Jacob is not a knight.", "Benjamin cannot be a knight, because this would contradict the false claim of Logan that Jacob is a knight or Benjamin is a knight.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Jacob is a knave and Evelyn is a knave.", "Henry cannot be a knight, because this would contradict the claim of their own that Logan is a knight and Riley is a knave.", "Assume Henry is a knave. No contradiction is found in their false claim that Logan is a knight and Riley is a knave.", "Assume Riley is a knight. No contradiction is found in their claim that Jacob is a knave and Benjamin is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 2), ('telling-truth', 3)), ('and', ('telling-truth', 0), ('lying', 4)), ('and', ('telling-truth', 2), ('telling-truth', 6)), ('and', ('lying', 2), ('lying', 6)), ('and', ('lying', 2), ('lying', 3)), ('not', ('telling-truth', 2)), ('not', ('lying', 5)))", "index": 623}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Victoria, Charlotte, Joseph, Abigail, Evelyn, Benjamin, and Matthew. Victoria told you that If Benjamin is a knight then Matthew is a knight. Charlotte asserted: \"If Joseph is a knave then Benjamin is a knave\". Joseph told you that Abigail is a knave. Abigail told you that Abigail is a knight or Joseph is a knight. Evelyn told you that Charlotte is a knave. Benjamin stated, \"Abigail is a knight if and only if Matthew is a knight\". As Matthew put it, \"Joseph is a knight and Evelyn is a knave\". So who is a knight and who is a knave?", "names": ["Victoria", "Charlotte", "Joseph", "Abigail", "Evelyn", "Benjamin", "Matthew"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true, false, false, false], "solution_text": "Victoria is a knight, Charlotte is a knight, Joseph is a knave, Abigail is a knight, Evelyn is a knave, Benjamin is a knave, and Matthew is a knave.", "solution_text_format": "(1) Victoria is a knight\n(2) Charlotte is a knight\n(3) Joseph is a knave\n(4) Abigail is a knight\n(5) Evelyn is a knave\n(6) Benjamin is a knave\n(7) Matthew is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Victoria is a knight. No contradiction is found in their claim that If Benjamin is a knight then Matthew is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that Abigail is a knight if and only if Matthew is a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that Abigail is a knight or Joseph is a knight.", "Joseph cannot be a knight, because this would contradict the claim of their own that Abigail is a knave.", "Assume Joseph is a knave. No contradiction is found in their false claim that Abigail is a knave.", "Matthew cannot be a knight, because this would contradict the claim of their own that Joseph is a knight and Evelyn is a knave.", "Matthew cannot be a knave, because this would contradict the claim of Victoria that If Benjamin is a knight then Matthew is a knight.", "We have exhausted all possibilities for Matthew and Joseph, so let us go back and reconsider Abigail.", "Assume Abigail is a knave. No contradiction is found in their false claim that Abigail is a knight or Joseph is a knight.", "Joseph cannot be a knight, because this would contradict the false claim of Abigail that Abigail is a knight or Joseph is a knight.", "Joseph cannot be a knave, because this would contradict the false claim of their own that Abigail is a knave.", "We have exhausted all possibilities for Joseph and Abigail, so let us go back and reconsider Benjamin.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Abigail is a knight if and only if Matthew is a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that Abigail is a knight or Joseph is a knight.", "Joseph cannot be a knight, because this would contradict the claim of their own that Abigail is a knave.", "Assume Joseph is a knave. No contradiction is found in their false claim that Abigail is a knave.", "Matthew cannot be a knight, because this would contradict the false claim of Benjamin that Abigail is a knight if and only if Matthew is a knight.", "Assume Matthew is a knave. No contradiction is found in their false claim that Joseph is a knight and Evelyn is a knave.", "Assume Evelyn is a knight. No contradiction is found in their claim that Charlotte is a knave.", "Charlotte cannot be a knight, because this would contradict the claim of Evelyn that Charlotte is a knave.", "Charlotte cannot be a knave, because this would contradict the false claim of their own that If Joseph is a knave then Benjamin is a knave.", "We have exhausted all possibilities for Charlotte, so let us go back and reconsider Evelyn.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Charlotte is a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that If Joseph is a knave then Benjamin is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 5), ('telling-truth', 6)), ('->', ('lying', 2), ('lying', 5)), ('lying', 3), ('or', ('telling-truth', 3), ('telling-truth', 2)), ('lying', 1), ('<=>', ('telling-truth', 3), ('telling-truth', 6)), ('and', ('telling-truth', 2), ('lying', 4)))", "index": 624}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Matthew, Isabella, Emily, Abigail, Penelope, Jacob, and Grace. Matthew commented, \"Isabella is a knave if and only if Isabella is a knight\". Isabella noted, \"Grace is a knave and Isabella is a knight\". \"Matthew is a knave\" - Emily. Abigail commented, \"Emily is a knave\". Penelope asserted: \"If Grace is a knave then Isabella is a knight\". \"Abigail is a knight if and only if Penelope is a knight\" - Jacob. In Grace's words: \"Isabella is not a knave\". So who is a knight and who is a knave?", "names": ["Matthew", "Isabella", "Emily", "Abigail", "Penelope", "Jacob", "Grace"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false, false, true, false], "solution_text": "Matthew is a knave, Isabella is a knave, Emily is a knight, Abigail is a knave, Penelope is a knave, Jacob is a knight, and Grace is a knave.", "solution_text_format": "(1) Matthew is a knave\n(2) Isabella is a knave\n(3) Emily is a knight\n(4) Abigail is a knave\n(5) Penelope is a knave\n(6) Jacob is a knight\n(7) Grace is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Matthew cannot be a knight, because this would contradict the claim of their own that Isabella is a knave if and only if Isabella is a knight.", "Assume Matthew is a knave. No contradiction is found in their false claim that Isabella is a knave if and only if Isabella is a knight.", "Assume Isabella is a knight. No contradiction is found in their claim that Grace is a knave and Isabella is a knight.", "Grace cannot be a knight, because this would contradict the claim of Isabella that Grace is a knave and Isabella is a knight.", "Grace cannot be a knave, because this would contradict the false claim of their own that Isabella is not a knave.", "We have exhausted all possibilities for Grace, so let us go back and reconsider Isabella.", "Assume Isabella is a knave. No contradiction is found in their false claim that Grace is a knave and Isabella is a knight.", "Grace cannot be a knight, because this would contradict the claim of their own that Isabella is not a knave.", "Assume Grace is a knave. No contradiction is found in their false claim that Isabella is not a knave.", "Assume Emily is a knight. No contradiction is found in their claim that Matthew is a knave.", "Abigail cannot be a knight, because this would contradict the claim of their own that Emily is a knave.", "Assume Abigail is a knave. No contradiction is found in their false claim that Emily is a knave.", "Penelope cannot be a knight, because this would contradict the claim of their own that If Grace is a knave then Isabella is a knight.", "Assume Penelope is a knave. No contradiction is found in their false claim that If Grace is a knave then Isabella is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that Abigail is a knight if and only if Penelope is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('telling-truth', 1)), ('and', ('lying', 6), ('telling-truth', 1)), ('lying', 0), ('lying', 2), ('->', ('lying', 6), ('telling-truth', 1)), ('<=>', ('telling-truth', 3), ('telling-truth', 4)), ('not', ('lying', 1)))", "index": 625}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Oliver, Samuel, Scarlett, James, Mason, Daniel, and Aiden. \"Daniel is not a knight,\" Oliver mentioned. \"Mason is a knave if and only if Aiden is a knave,\" Samuel claimed. In a statement by Scarlett: \"Oliver is not a knave\". James expressed that Oliver is a knave and Scarlett is a knave. \"If Daniel is a knight then James is a knight\" - Mason. \"Aiden is not a knave\" - Daniel. Aiden commented, \"Samuel is a knight and Daniel is a knave\". So who is a knight and who is a knave?", "names": ["Oliver", "Samuel", "Scarlett", "James", "Mason", "Daniel", "Aiden"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false, true, false, false], "solution_text": "Oliver is a knight, Samuel is a knave, Scarlett is a knight, James is a knave, Mason is a knight, Daniel is a knave, and Aiden is a knave.", "solution_text_format": "(1) Oliver is a knight\n(2) Samuel is a knave\n(3) Scarlett is a knight\n(4) James is a knave\n(5) Mason is a knight\n(6) Daniel is a knave\n(7) Aiden is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Oliver is a knight. No contradiction is found in their claim that Daniel is not a knight.", "Daniel cannot be a knight, because this would contradict the claim of Oliver that Daniel is not a knight.", "Assume Daniel is a knave. No contradiction is found in their false claim that Aiden is not a knave.", "Aiden cannot be a knight, because this would contradict the false claim of Daniel that Aiden is not a knave.", "Assume Aiden is a knave. No contradiction is found in their false claim that Samuel is a knight and Daniel is a knave.", "Samuel cannot be a knight, because this would contradict the false claim of Aiden that Samuel is a knight and Daniel is a knave.", "Assume Samuel is a knave. No contradiction is found in their false claim that Mason is a knave if and only if Aiden is a knave.", "Assume Mason is a knight. No contradiction is found in their claim that If Daniel is a knight then James is a knight.", "James cannot be a knight, because this would contradict the claim of their own that Oliver is a knave and Scarlett is a knave.", "Assume James is a knave. No contradiction is found in their false claim that Oliver is a knave and Scarlett is a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that Oliver is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 5)), ('<=>', ('lying', 4), ('lying', 6)), ('not', ('lying', 0)), ('and', ('lying', 0), ('lying', 2)), ('->', ('telling-truth', 5), ('telling-truth', 3)), ('not', ('lying', 6)), ('and', ('telling-truth', 1), ('lying', 5)))", "index": 626}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Zoey, Sebastian, Jack, Mason, Lucas, Logan, and Elizabeth. Zoey expressed that Logan is not a knave. Sebastian commented, \"Logan is not a knight\". Jack noted, \"Logan is a knight and Lucas is a knave\". \"If Zoey is a knave then Elizabeth is a knight\" - Mason. Lucas commented, \"Elizabeth is a knight and Lucas is a knight\". Logan commented, \"If Jack is a knight then Lucas is a knight\". Elizabeth remarked, \"Mason is a knight or Jack is a knight\". So who is a knight and who is a knave?", "names": ["Zoey", "Sebastian", "Jack", "Mason", "Lucas", "Logan", "Elizabeth"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, true, true, true], "solution_text": "Zoey is a knight, Sebastian is a knave, Jack is a knave, Mason is a knight, Lucas is a knight, Logan is a knight, and Elizabeth is a knight.", "solution_text_format": "(1) Zoey is a knight\n(2) Sebastian is a knave\n(3) Jack is a knave\n(4) Mason is a knight\n(5) Lucas is a knight\n(6) Logan is a knight\n(7) Elizabeth is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Zoey is a knight. No contradiction is found in their claim that Logan is not a knave.", "Assume Logan is a knight. No contradiction is found in their claim that If Jack is a knight then Lucas is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that Logan is a knight and Lucas is a knave.", "Lucas cannot be a knight, because this would contradict the claim of Jack that Logan is a knight and Lucas is a knave.", "Lucas cannot be a knave, because this would contradict the claim of Logan that If Jack is a knight then Lucas is a knight.", "We have exhausted all possibilities for Lucas, so let us go back and reconsider Jack.", "Assume Jack is a knave. No contradiction is found in their false claim that Logan is a knight and Lucas is a knave.", "Assume Lucas is a knight. No contradiction is found in their claim that Elizabeth is a knight and Lucas is a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Mason is a knight or Jack is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that If Zoey is a knave then Elizabeth is a knight.", "Sebastian cannot be a knight, because this would contradict the claim of their own that Logan is not a knight.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Logan is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 5)), ('not', ('telling-truth', 5)), ('and', ('telling-truth', 5), ('lying', 4)), ('->', ('lying', 0), ('telling-truth', 6)), ('and', ('telling-truth', 6), ('telling-truth', 4)), ('->', ('telling-truth', 2), ('telling-truth', 4)), ('or', ('telling-truth', 3), ('telling-truth', 2)))", "index": 627}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Ethan, David, Logan, Olivia, Benjamin, Riley, and William. Ethan said that Riley is a knave. David was heard saying, \"Riley is a knight if and only if Olivia is a knight\". Logan noted, \"If Riley is a knave then Benjamin is a knave\". \"Benjamin is not a knave,\" Olivia declared. In a statement by Benjamin: \"If Logan is a knave then Riley is a knave\". Riley asserted: \"Riley is a knight if and only if William is a knight\". William was heard saying, \"Ethan is a knight if and only if William is a knight\". So who is a knight and who is a knave?", "names": ["Ethan", "David", "Logan", "Olivia", "Benjamin", "Riley", "William"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, true, false, true], "solution_text": "Ethan is a knight, David is a knave, Logan is a knave, Olivia is a knight, Benjamin is a knight, Riley is a knave, and William is a knight.", "solution_text_format": "(1) Ethan is a knight\n(2) David is a knave\n(3) Logan is a knave\n(4) Olivia is a knight\n(5) Benjamin is a knight\n(6) Riley is a knave\n(7) William is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ethan is a knight. No contradiction is found in their claim that Riley is a knave.", "Riley cannot be a knight, because this would contradict the claim of Ethan that Riley is a knave.", "Assume Riley is a knave. No contradiction is found in their false claim that Riley is a knight if and only if William is a knight.", "Assume William is a knight. No contradiction is found in their claim that Ethan is a knight if and only if William is a knight.", "Assume David is a knight. No contradiction is found in their claim that Riley is a knight if and only if Olivia is a knight.", "Olivia cannot be a knight, because this would contradict the claim of David that Riley is a knight if and only if Olivia is a knight.", "Assume Olivia is a knave. No contradiction is found in their false claim that Benjamin is not a knave.", "Benjamin cannot be a knight, because this would contradict the false claim of Olivia that Benjamin is not a knave.", "Benjamin cannot be a knave, because this would contradict the false claim of their own that If Logan is a knave then Riley is a knave.", "We have exhausted all possibilities for Benjamin and Olivia, so let us go back and reconsider David.", "Assume David is a knave. No contradiction is found in their false claim that Riley is a knight if and only if Olivia is a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that Benjamin is not a knave.", "Assume Benjamin is a knight. No contradiction is found in their claim that If Logan is a knave then Riley is a knave.", "Logan cannot be a knight, because this would contradict the claim of their own that If Riley is a knave then Benjamin is a knave.", "Assume Logan is a knave. No contradiction is found in their false claim that If Riley is a knave then Benjamin is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 5), ('<=>', ('telling-truth', 5), ('telling-truth', 3)), ('->', ('lying', 5), ('lying', 4)), ('not', ('lying', 4)), ('->', ('lying', 2), ('lying', 5)), ('<=>', ('telling-truth', 5), ('telling-truth', 6)), ('<=>', ('telling-truth', 0), ('telling-truth', 6)))", "index": 628}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Alexander, Oliver, Penelope, Aurora, Matthew, David, and Ava. Alexander said that Alexander is a knight or Ava is a knight. Oliver asserted: \"Matthew is a knave if and only if Matthew is a knight\". Penelope stated, \"If Ava is a knight then David is a knight\". \"Oliver is a knight,\" Aurora mentioned. Matthew told you that If Alexander is a knave then Aurora is a knave. In a statement by David: \"If Penelope is a knave then Penelope is a knight\". In a statement by Ava: \"David is a knight\". So who is a knight and who is a knave?", "names": ["Alexander", "Oliver", "Penelope", "Aurora", "Matthew", "David", "Ava"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false, true, true, true], "solution_text": "Alexander is a knight, Oliver is a knave, Penelope is a knight, Aurora is a knave, Matthew is a knight, David is a knight, and Ava is a knight.", "solution_text_format": "(1) Alexander is a knight\n(2) Oliver is a knave\n(3) Penelope is a knight\n(4) Aurora is a knave\n(5) Matthew is a knight\n(6) David is a knight\n(7) Ava is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Alexander is a knight. No contradiction is found in their claim that Alexander is a knight or Ava is a knight.", "Assume Ava is a knight. No contradiction is found in their claim that David is a knight.", "Assume David is a knight. No contradiction is found in their claim that If Penelope is a knave then Penelope is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that If Ava is a knight then David is a knight.", "Oliver cannot be a knight, because this would contradict the claim of their own that Matthew is a knave if and only if Matthew is a knight.", "Assume Oliver is a knave. No contradiction is found in their false claim that Matthew is a knave if and only if Matthew is a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that If Alexander is a knave then Aurora is a knave.", "Aurora cannot be a knight, because this would contradict the claim of their own that Oliver is a knight.", "Assume Aurora is a knave. No contradiction is found in their false claim that Oliver is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 0), ('telling-truth', 6)), ('<=>', ('lying', 4), ('telling-truth', 4)), ('->', ('telling-truth', 6), ('telling-truth', 5)), ('telling-truth', 1), ('->', ('lying', 0), ('lying', 3)), ('->', ('lying', 2), ('telling-truth', 2)), ('telling-truth', 5))", "index": 629}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Jackson, Aria, Chloe, Sophia, Ethan, Joseph, and Sebastian. \"If Ethan is a knave then Sophia is a knave,\" Jackson declared. Aria asserted: \"Jackson is a knave if and only if Sebastian is a knave\". Chloe remarked, \"Sophia is a knave or Sebastian is a knave\". Sophia asserted: \"Aria is a knave if and only if Sophia is a knight\". \"Sebastian is a knight and Chloe is a knight,\" Ethan mentioned. \"If Ethan is a knave then Aria is a knight,\" Joseph declared. Sebastian expressed that Ethan is a knight. So who is a knight and who is a knave?", "names": ["Jackson", "Aria", "Chloe", "Sophia", "Ethan", "Joseph", "Sebastian"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false, false, false, false], "solution_text": "Jackson is a knight, Aria is a knave, Chloe is a knight, Sophia is a knave, Ethan is a knave, Joseph is a knave, and Sebastian is a knave.", "solution_text_format": "(1) Jackson is a knight\n(2) Aria is a knave\n(3) Chloe is a knight\n(4) Sophia is a knave\n(5) Ethan is a knave\n(6) Joseph is a knave\n(7) Sebastian is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jackson is a knight. No contradiction is found in their claim that If Ethan is a knave then Sophia is a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that Sebastian is a knight and Chloe is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Ethan is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that Sophia is a knave or Sebastian is a knave.", "Sophia cannot be a knight, because this would contradict the claim of Chloe that Sophia is a knave or Sebastian is a knave.", "Assume Sophia is a knave. No contradiction is found in their false claim that Aria is a knave if and only if Sophia is a knight.", "Aria cannot be a knight, because this would contradict the false claim of Sophia that Aria is a knave if and only if Sophia is a knight.", "Aria cannot be a knave, because this would contradict the false claim of their own that Jackson is a knave if and only if Sebastian is a knave.", "We have exhausted all possibilities for Aria and Sophia, so let us go back and reconsider Chloe.", "Chloe cannot be a knave, because this would contradict the claim of Ethan that Sebastian is a knight and Chloe is a knight.", "We have exhausted all possibilities for Chloe, so let us go back and reconsider Sebastian.", "Sebastian cannot be a knave, because this would contradict the claim of Ethan that Sebastian is a knight and Chloe is a knight.", "We have exhausted all possibilities for Sebastian, so let us go back and reconsider Ethan.", "Assume Ethan is a knave. No contradiction is found in their false claim that Sebastian is a knight and Chloe is a knight.", "Sebastian cannot be a knight, because this would contradict the claim of their own that Ethan is a knight.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Ethan is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that Sophia is a knave or Sebastian is a knave.", "Sophia cannot be a knight, because this would contradict the claim of Jackson that If Ethan is a knave then Sophia is a knave.", "Assume Sophia is a knave. No contradiction is found in their false claim that Aria is a knave if and only if Sophia is a knight.", "Aria cannot be a knight, because this would contradict the claim of their own that Jackson is a knave if and only if Sebastian is a knave.", "Assume Aria is a knave. No contradiction is found in their false claim that Jackson is a knave if and only if Sebastian is a knave.", "Joseph cannot be a knight, because this would contradict the claim of their own that If Ethan is a knave then Aria is a knight.", "Assume Joseph is a knave. No contradiction is found in their false claim that If Ethan is a knave then Aria is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 4), ('lying', 3)), ('<=>', ('lying', 0), ('lying', 6)), ('or', ('lying', 3), ('lying', 6)), ('<=>', ('lying', 1), ('telling-truth', 3)), ('and', ('telling-truth', 6), ('telling-truth', 2)), ('->', ('lying', 4), ('telling-truth', 1)), ('telling-truth', 4))", "index": 630}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: David, Lily, Penelope, Joseph, Samuel, Benjamin, and James. David noted, \"Joseph is not a knight\". Lily said that Lily is a knight and David is a knave. \"James is a knight and Benjamin is a knave,\" Penelope declared. Joseph told you that Joseph is a knight if and only if James is a knight. \"Lily is a knight and Samuel is a knight,\" Samuel claimed. Benjamin commented, \"Lily is a knight and David is a knight\". James said, \"Samuel is not a knave.\" So who is a knight and who is a knave?", "names": ["David", "Lily", "Penelope", "Joseph", "Samuel", "Benjamin", "James"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, true, false, true], "solution_text": "David is a knave, Lily is a knight, Penelope is a knight, Joseph is a knight, Samuel is a knight, Benjamin is a knave, and James is a knight.", "solution_text_format": "(1) David is a knave\n(2) Lily is a knight\n(3) Penelope is a knight\n(4) Joseph is a knight\n(5) Samuel is a knight\n(6) Benjamin is a knave\n(7) James is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume David is a knight. No contradiction is found in their claim that Joseph is not a knight.", "Joseph cannot be a knight, because this would contradict the claim of David that Joseph is not a knight.", "Assume Joseph is a knave. No contradiction is found in their false claim that Joseph is a knight if and only if James is a knight.", "Assume James is a knight. No contradiction is found in their claim that Samuel is not a knave.", "Assume Samuel is a knight. No contradiction is found in their claim that Lily is a knight and Samuel is a knight.", "Lily cannot be a knight, because this would contradict the claim of their own that Lily is a knight and David is a knave.", "Lily cannot be a knave, because this would contradict the claim of Samuel that Lily is a knight and Samuel is a knight.", "We have exhausted all possibilities for Lily, so let us go back and reconsider Samuel.", "Samuel cannot be a knave, because this would contradict the claim of James that Samuel is not a knave.", "We have exhausted all possibilities for Samuel, so let us go back and reconsider James.", "James cannot be a knave, because this would contradict the false claim of Joseph that Joseph is a knight if and only if James is a knight.", "We have exhausted all possibilities for James and Joseph, so let us go back and reconsider David.", "Assume David is a knave. No contradiction is found in their false claim that Joseph is not a knight.", "Assume Joseph is a knight. No contradiction is found in their claim that Joseph is a knight if and only if James is a knight.", "Assume James is a knight. No contradiction is found in their claim that Samuel is not a knave.", "Assume Samuel is a knight. No contradiction is found in their claim that Lily is a knight and Samuel is a knight.", "Assume Lily is a knight. No contradiction is found in their claim that Lily is a knight and David is a knave.", "Assume Penelope is a knight. No contradiction is found in their claim that James is a knight and Benjamin is a knave.", "Benjamin cannot be a knight, because this would contradict the claim of Penelope that James is a knight and Benjamin is a knave.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Lily is a knight and David is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 3)), ('and', ('telling-truth', 1), ('lying', 0)), ('and', ('telling-truth', 6), ('lying', 5)), ('<=>', ('telling-truth', 3), ('telling-truth', 6)), ('and', ('telling-truth', 1), ('telling-truth', 4)), ('and', ('telling-truth', 1), ('telling-truth', 0)), ('not', ('lying', 4)))", "index": 631}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Chloe, Sofia, Henry, Avery, James, Owen, and Liam. According to Chloe, \"Owen is a knight and Owen is a knave\". Sofia was heard saying, \"James is a knave\". Henry remarked, \"Henry is a knight or Sofia is a knight\". According to Avery, \"If Sofia is a knight then Henry is a knave\". James asserted: \"Avery is a knave and Avery is a knight\". Owen asserted: \"Avery is a knight and Henry is a knight\". Liam asserted: \"James is not a knight\". So who is a knight and who is a knave?", "names": ["Chloe", "Sofia", "Henry", "Avery", "James", "Owen", "Liam"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false, false, false, true], "solution_text": "Chloe is a knave, Sofia is a knight, Henry is a knight, Avery is a knave, James is a knave, Owen is a knave, and Liam is a knight.", "solution_text_format": "(1) Chloe is a knave\n(2) Sofia is a knight\n(3) Henry is a knight\n(4) Avery is a knave\n(5) James is a knave\n(6) Owen is a knave\n(7) Liam is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Chloe cannot be a knight, because this would contradict the claim of their own that Owen is a knight and Owen is a knave.", "Assume Chloe is a knave. No contradiction is found in their false claim that Owen is a knight and Owen is a knave.", "Assume Owen is a knight. No contradiction is found in their claim that Avery is a knight and Henry is a knight.", "Assume Avery is a knight. No contradiction is found in their claim that If Sofia is a knight then Henry is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that James is a knave.", "James cannot be a knight, because this would contradict the claim of Sofia that James is a knave.", "Assume James is a knave. No contradiction is found in their false claim that Avery is a knave and Avery is a knight.", "Henry cannot be a knight, because this would contradict the claim of Avery that If Sofia is a knight then Henry is a knave.", "Henry cannot be a knave, because this would contradict the false claim of their own that Henry is a knight or Sofia is a knight.", "We have exhausted all possibilities for Henry and James, so let us go back and reconsider Sofia.", "Assume Sofia is a knave. No contradiction is found in their false claim that James is a knave.", "James cannot be a knight, because this would contradict the claim of their own that Avery is a knave and Avery is a knight.", "James cannot be a knave, because this would contradict the false claim of Sofia that James is a knave.", "We have exhausted all possibilities for James and Sofia, so let us go back and reconsider Avery.", "Avery cannot be a knave, because this would contradict the claim of Owen that Avery is a knight and Henry is a knight.", "We have exhausted all possibilities for Avery, so let us go back and reconsider Owen.", "Assume Owen is a knave. No contradiction is found in their false claim that Avery is a knight and Henry is a knight.", "Assume Avery is a knight. No contradiction is found in their claim that If Sofia is a knight then Henry is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that James is a knave.", "James cannot be a knight, because this would contradict the claim of Sofia that James is a knave.", "Assume James is a knave. No contradiction is found in their false claim that Avery is a knave and Avery is a knight.", "Henry cannot be a knight, because this would contradict the claim of Avery that If Sofia is a knight then Henry is a knave.", "Henry cannot be a knave, because this would contradict the false claim of their own that Henry is a knight or Sofia is a knight.", "We have exhausted all possibilities for Henry and James, so let us go back and reconsider Sofia.", "Assume Sofia is a knave. No contradiction is found in their false claim that James is a knave.", "James cannot be a knight, because this would contradict the claim of their own that Avery is a knave and Avery is a knight.", "James cannot be a knave, because this would contradict the false claim of Sofia that James is a knave.", "We have exhausted all possibilities for James and Sofia, so let us go back and reconsider Avery.", "Assume Avery is a knave. No contradiction is found in their false claim that If Sofia is a knight then Henry is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that James is a knave.", "James cannot be a knight, because this would contradict the claim of Sofia that James is a knave.", "Assume James is a knave. No contradiction is found in their false claim that Avery is a knave and Avery is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that Henry is a knight or Sofia is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that James is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 5), ('lying', 5)), ('lying', 4), ('or', ('telling-truth', 2), ('telling-truth', 1)), ('->', ('telling-truth', 1), ('lying', 2)), ('and', ('lying', 3), ('telling-truth', 3)), ('and', ('telling-truth', 3), ('telling-truth', 2)), ('not', ('telling-truth', 4)))", "index": 632}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Henry, Ella, Penelope, Joseph, Jack, Liam, and Oliver. \"Oliver is a knight and Jack is a knight,\" Henry claimed. In Ella's words: \"Henry is a knight and Oliver is a knight\". Penelope expressed that Jack is a knave or Henry is a knight. Joseph was heard saying, \"Jack is a knave and Oliver is a knave\". Jack expressed that Oliver is a knave if and only if Jack is a knight. Liam said that If Liam is a knight then Oliver is a knave. Oliver remarked, \"Joseph is a knave\". So who is a knight and who is a knave?", "names": ["Henry", "Ella", "Penelope", "Joseph", "Jack", "Liam", "Oliver"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true, false, true, false], "solution_text": "Henry is a knave, Ella is a knave, Penelope is a knight, Joseph is a knight, Jack is a knave, Liam is a knight, and Oliver is a knave.", "solution_text_format": "(1) Henry is a knave\n(2) Ella is a knave\n(3) Penelope is a knight\n(4) Joseph is a knight\n(5) Jack is a knave\n(6) Liam is a knight\n(7) Oliver is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Henry is a knight. No contradiction is found in their claim that Oliver is a knight and Jack is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that Joseph is a knave.", "Joseph cannot be a knight, because this would contradict the claim of their own that Jack is a knave and Oliver is a knave.", "Assume Joseph is a knave. No contradiction is found in their false claim that Jack is a knave and Oliver is a knave.", "Jack cannot be a knight, because this would contradict the claim of their own that Oliver is a knave if and only if Jack is a knight.", "Jack cannot be a knave, because this would contradict the claim of Henry that Oliver is a knight and Jack is a knight.", "We have exhausted all possibilities for Jack and Joseph, so let us go back and reconsider Oliver.", "Oliver cannot be a knave, because this would contradict the claim of Henry that Oliver is a knight and Jack is a knight.", "We have exhausted all possibilities for Oliver, so let us go back and reconsider Henry.", "Assume Henry is a knave. No contradiction is found in their false claim that Oliver is a knight and Jack is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that Joseph is a knave.", "Joseph cannot be a knight, because this would contradict the claim of their own that Jack is a knave and Oliver is a knave.", "Assume Joseph is a knave. No contradiction is found in their false claim that Jack is a knave and Oliver is a knave.", "Jack cannot be a knight, because this would contradict the false claim of Henry that Oliver is a knight and Jack is a knight.", "Jack cannot be a knave, because this would contradict the false claim of their own that Oliver is a knave if and only if Jack is a knight.", "We have exhausted all possibilities for Jack and Joseph, so let us go back and reconsider Oliver.", "Assume Oliver is a knave. No contradiction is found in their false claim that Joseph is a knave.", "Assume Joseph is a knight. No contradiction is found in their claim that Jack is a knave and Oliver is a knave.", "Jack cannot be a knight, because this would contradict the claim of Joseph that Jack is a knave and Oliver is a knave.", "Assume Jack is a knave. No contradiction is found in their false claim that Oliver is a knave if and only if Jack is a knight.", "Ella cannot be a knight, because this would contradict the claim of their own that Henry is a knight and Oliver is a knight.", "Assume Ella is a knave. No contradiction is found in their false claim that Henry is a knight and Oliver is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that Jack is a knave or Henry is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that If Liam is a knight then Oliver is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 6), ('telling-truth', 4)), ('and', ('telling-truth', 0), ('telling-truth', 6)), ('or', ('lying', 4), ('telling-truth', 0)), ('and', ('lying', 4), ('lying', 6)), ('<=>', ('lying', 6), ('telling-truth', 4)), ('->', ('telling-truth', 5), ('lying', 6)), ('lying', 3))", "index": 633}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Zoey, Ella, Aurora, Noah, Daniel, Grace, and Emma. Zoey said, \"Daniel is a knight and Noah is a knave.\" \"Emma is a knight or Noah is a knave\" - Ella. Aurora stated, \"Noah is a knight\". \"Grace is a knave and Daniel is a knave,\" Noah claimed. Daniel stated, \"Ella is not a knave\". Grace said that Ella is not a knave. \"Grace is a knave if and only if Daniel is a knave\" - Emma. So who is a knight and who is a knave?", "names": ["Zoey", "Ella", "Aurora", "Noah", "Daniel", "Grace", "Emma"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false, true, true, true], "solution_text": "Zoey is a knight, Ella is a knight, Aurora is a knave, Noah is a knave, Daniel is a knight, Grace is a knight, and Emma is a knight.", "solution_text_format": "(1) Zoey is a knight\n(2) Ella is a knight\n(3) Aurora is a knave\n(4) Noah is a knave\n(5) Daniel is a knight\n(6) Grace is a knight\n(7) Emma is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Zoey is a knight. No contradiction is found in their claim that Daniel is a knight and Noah is a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that Ella is not a knave.", "Assume Ella is a knight. No contradiction is found in their claim that Emma is a knight or Noah is a knave.", "Assume Emma is a knight. No contradiction is found in their claim that Grace is a knave if and only if Daniel is a knave.", "Assume Grace is a knight. No contradiction is found in their claim that Ella is not a knave.", "Noah cannot be a knight, because this would contradict the claim of Zoey that Daniel is a knight and Noah is a knave.", "Assume Noah is a knave. No contradiction is found in their false claim that Grace is a knave and Daniel is a knave.", "Aurora cannot be a knight, because this would contradict the claim of their own that Noah is a knight.", "Assume Aurora is a knave. No contradiction is found in their false claim that Noah is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 4), ('lying', 3)), ('or', ('telling-truth', 6), ('lying', 3)), ('telling-truth', 3), ('and', ('lying', 5), ('lying', 4)), ('not', ('lying', 1)), ('not', ('lying', 1)), ('<=>', ('lying', 5), ('lying', 4)))", "index": 634}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Matthew, Daniel, Ethan, Mason, Luke, Jackson, and Riley. According to Matthew, \"Matthew is a knight or Ethan is a knave\". As Daniel put it, \"Riley is a knave if and only if Jackson is a knight\". Ethan commented, \"Mason is a knave and Mason is a knight\". \"Daniel is a knave and Jackson is a knight,\" Mason mentioned. According to Luke, \"If Ethan is a knave then Mason is a knave\". \"Riley is a knight or Daniel is a knave\" - Jackson. In a statement by Riley: \"Jackson is a knight or Mason is a knight\". So who is a knight and who is a knave?", "names": ["Matthew", "Daniel", "Ethan", "Mason", "Luke", "Jackson", "Riley"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, false, true, true], "solution_text": "Matthew is a knight, Daniel is a knave, Ethan is a knave, Mason is a knight, Luke is a knave, Jackson is a knight, and Riley is a knight.", "solution_text_format": "(1) Matthew is a knight\n(2) Daniel is a knave\n(3) Ethan is a knave\n(4) Mason is a knight\n(5) Luke is a knave\n(6) Jackson is a knight\n(7) Riley is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Matthew is a knight. No contradiction is found in their claim that Matthew is a knight or Ethan is a knave.", "Ethan cannot be a knight, because this would contradict the claim of their own that Mason is a knave and Mason is a knight.", "Assume Ethan is a knave. No contradiction is found in their false claim that Mason is a knave and Mason is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that Daniel is a knave and Jackson is a knight.", "Daniel cannot be a knight, because this would contradict the claim of Mason that Daniel is a knave and Jackson is a knight.", "Assume Daniel is a knave. No contradiction is found in their false claim that Riley is a knave if and only if Jackson is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that Jackson is a knight or Mason is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that Riley is a knight or Daniel is a knave.", "Luke cannot be a knight, because this would contradict the claim of their own that If Ethan is a knave then Mason is a knave.", "Assume Luke is a knave. No contradiction is found in their false claim that If Ethan is a knave then Mason is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 0), ('lying', 2)), ('<=>', ('lying', 6), ('telling-truth', 5)), ('and', ('lying', 3), ('telling-truth', 3)), ('and', ('lying', 1), ('telling-truth', 5)), ('->', ('lying', 2), ('lying', 3)), ('or', ('telling-truth', 6), ('lying', 1)), ('or', ('telling-truth', 5), ('telling-truth', 3)))", "index": 635}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Avery, Owen, William, Olivia, Charlotte, Henry, and Sofia. Avery expressed that If Henry is a knight then Charlotte is a knight. Owen asserted: \"William is not a knight\". In a statement by William: \"Sofia is a knave or Sofia is a knight\". Olivia told you that Sofia is a knave if and only if Owen is a knave. In Charlotte's words: \"Sofia is a knave and Olivia is a knave\". In Henry's words: \"Olivia is a knight if and only if Owen is a knight\". Sofia stated, \"Henry is a knight or Owen is a knave\". So who is a knight and who is a knave?", "names": ["Avery", "Owen", "William", "Olivia", "Charlotte", "Henry", "Sofia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false, false, true, true], "solution_text": "Avery is a knave, Owen is a knave, William is a knight, Olivia is a knave, Charlotte is a knave, Henry is a knight, and Sofia is a knight.", "solution_text_format": "(1) Avery is a knave\n(2) Owen is a knave\n(3) William is a knight\n(4) Olivia is a knave\n(5) Charlotte is a knave\n(6) Henry is a knight\n(7) Sofia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Avery is a knight. No contradiction is found in their claim that If Henry is a knight then Charlotte is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that Olivia is a knight if and only if Owen is a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that Sofia is a knave if and only if Owen is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that Henry is a knight or Owen is a knave.", "Assume Owen is a knight. No contradiction is found in their claim that William is not a knight.", "William cannot be a knight, because this would contradict the claim of Owen that William is not a knight.", "William cannot be a knave, because this would contradict the false claim of their own that Sofia is a knave or Sofia is a knight.", "We have exhausted all possibilities for William, so let us go back and reconsider Owen.", "Owen cannot be a knave, because this would contradict the claim of Olivia that Sofia is a knave if and only if Owen is a knave.", "We have exhausted all possibilities for Owen, so let us go back and reconsider Sofia.", "Sofia cannot be a knave, because this would contradict the false claim of their own that Henry is a knight or Owen is a knave.", "We have exhausted all possibilities for Sofia, so let us go back and reconsider Olivia.", "Assume Olivia is a knave. No contradiction is found in their false claim that Sofia is a knave if and only if Owen is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that Henry is a knight or Owen is a knave.", "Owen cannot be a knight, because this would contradict the false claim of Olivia that Sofia is a knave if and only if Owen is a knave.", "Assume Owen is a knave. No contradiction is found in their false claim that William is not a knight.", "Assume William is a knight. No contradiction is found in their claim that Sofia is a knave or Sofia is a knight.", "Charlotte cannot be a knight, because this would contradict the claim of their own that Sofia is a knave and Olivia is a knave.", "Charlotte cannot be a knave, because this would contradict the claim of Avery that If Henry is a knight then Charlotte is a knight.", "We have exhausted all possibilities for Charlotte, so let us go back and reconsider William.", "William cannot be a knave, because this would contradict the false claim of Owen that William is not a knight.", "We have exhausted all possibilities for William and Owen, so let us go back and reconsider Sofia.", "Sofia cannot be a knave, because this would contradict the false claim of their own that Henry is a knight or Owen is a knave.", "We have exhausted all possibilities for Sofia and Olivia, so let us go back and reconsider Henry.", "Assume Henry is a knave. No contradiction is found in their false claim that Olivia is a knight if and only if Owen is a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that Sofia is a knave if and only if Owen is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that Henry is a knight or Owen is a knave.", "Owen cannot be a knight, because this would contradict the false claim of Henry that Olivia is a knight if and only if Owen is a knight.", "Owen cannot be a knave, because this would contradict the claim of Olivia that Sofia is a knave if and only if Owen is a knave.", "We have exhausted all possibilities for Owen, so let us go back and reconsider Sofia.", "Assume Sofia is a knave. No contradiction is found in their false claim that Henry is a knight or Owen is a knave.", "Owen cannot be a knight, because this would contradict the claim of Olivia that Sofia is a knave if and only if Owen is a knave.", "Owen cannot be a knave, because this would contradict the false claim of Sofia that Henry is a knight or Owen is a knave.", "We have exhausted all possibilities for Owen and Sofia, so let us go back and reconsider Olivia.", "Assume Olivia is a knave. No contradiction is found in their false claim that Sofia is a knave if and only if Owen is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that Henry is a knight or Owen is a knave.", "Owen cannot be a knight, because this would contradict the false claim of Olivia that Sofia is a knave if and only if Owen is a knave.", "Owen cannot be a knave, because this would contradict the false claim of Henry that Olivia is a knight if and only if Owen is a knight.", "We have exhausted all possibilities for Owen, so let us go back and reconsider Sofia.", "Assume Sofia is a knave. No contradiction is found in their false claim that Henry is a knight or Owen is a knave.", "Assume Owen is a knight. No contradiction is found in their claim that William is not a knight.", "William cannot be a knight, because this would contradict the claim of Owen that William is not a knight.", "William cannot be a knave, because this would contradict the false claim of their own that Sofia is a knave or Sofia is a knight.", "We have exhausted all possibilities for William, so let us go back and reconsider Owen.", "Owen cannot be a knave, because this would contradict the false claim of Olivia that Sofia is a knave if and only if Owen is a knave.", "We have exhausted all possibilities for Owen, Sofia, Olivia, and Henry, so let us go back and reconsider Avery.", "Assume Avery is a knave. No contradiction is found in their false claim that If Henry is a knight then Charlotte is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that Olivia is a knight if and only if Owen is a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that Sofia is a knave if and only if Owen is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that Henry is a knight or Owen is a knave.", "Assume Owen is a knight. No contradiction is found in their claim that William is not a knight.", "William cannot be a knight, because this would contradict the claim of Owen that William is not a knight.", "William cannot be a knave, because this would contradict the false claim of their own that Sofia is a knave or Sofia is a knight.", "We have exhausted all possibilities for William, so let us go back and reconsider Owen.", "Owen cannot be a knave, because this would contradict the claim of Olivia that Sofia is a knave if and only if Owen is a knave.", "We have exhausted all possibilities for Owen, so let us go back and reconsider Sofia.", "Sofia cannot be a knave, because this would contradict the false claim of their own that Henry is a knight or Owen is a knave.", "We have exhausted all possibilities for Sofia, so let us go back and reconsider Olivia.", "Assume Olivia is a knave. No contradiction is found in their false claim that Sofia is a knave if and only if Owen is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that Henry is a knight or Owen is a knave.", "Owen cannot be a knight, because this would contradict the false claim of Olivia that Sofia is a knave if and only if Owen is a knave.", "Assume Owen is a knave. No contradiction is found in their false claim that William is not a knight.", "Assume William is a knight. No contradiction is found in their claim that Sofia is a knave or Sofia is a knight.", "Charlotte cannot be a knight, because this would contradict the false claim of Avery that If Henry is a knight then Charlotte is a knight.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Sofia is a knave and Olivia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 5), ('telling-truth', 4)), ('not', ('telling-truth', 2)), ('or', ('lying', 6), ('telling-truth', 6)), ('<=>', ('lying', 6), ('lying', 1)), ('and', ('lying', 6), ('lying', 3)), ('<=>', ('telling-truth', 3), ('telling-truth', 1)), ('or', ('telling-truth', 5), ('lying', 1)))", "index": 636}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Evelyn, Penelope, Jack, Alexander, Charlotte, Logan, and Sophia. \"Alexander is a knight or Sophia is a knight,\" Evelyn mentioned. In Penelope's words: \"Jack is a knave if and only if Sophia is a knight\". As Jack put it, \"Penelope is a knight if and only if Alexander is a knight\". Alexander expressed that Jack is a knight. Charlotte commented, \"Logan is a knight\". Logan remarked, \"Alexander is a knave\". Sophia asserted: \"Evelyn is a knave or Evelyn is a knight\". So who is a knight and who is a knave?", "names": ["Evelyn", "Penelope", "Jack", "Alexander", "Charlotte", "Logan", "Sophia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false, true, true, true], "solution_text": "Evelyn is a knight, Penelope is a knight, Jack is a knave, Alexander is a knave, Charlotte is a knight, Logan is a knight, and Sophia is a knight.", "solution_text_format": "(1) Evelyn is a knight\n(2) Penelope is a knight\n(3) Jack is a knave\n(4) Alexander is a knave\n(5) Charlotte is a knight\n(6) Logan is a knight\n(7) Sophia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Evelyn is a knight. No contradiction is found in their claim that Alexander is a knight or Sophia is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that Jack is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that Penelope is a knight if and only if Alexander is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that Jack is a knave if and only if Sophia is a knight.", "Sophia cannot be a knight, because this would contradict the claim of Penelope that Jack is a knave if and only if Sophia is a knight.", "Sophia cannot be a knave, because this would contradict the false claim of their own that Evelyn is a knave or Evelyn is a knight.", "We have exhausted all possibilities for Sophia, so let us go back and reconsider Penelope.", "Penelope cannot be a knave, because this would contradict the claim of Jack that Penelope is a knight if and only if Alexander is a knight.", "We have exhausted all possibilities for Penelope, so let us go back and reconsider Jack.", "Jack cannot be a knave, because this would contradict the claim of Alexander that Jack is a knight.", "We have exhausted all possibilities for Jack, so let us go back and reconsider Alexander.", "Assume Alexander is a knave. No contradiction is found in their false claim that Jack is a knight.", "Jack cannot be a knight, because this would contradict the false claim of Alexander that Jack is a knight.", "Assume Jack is a knave. No contradiction is found in their false claim that Penelope is a knight if and only if Alexander is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that Jack is a knave if and only if Sophia is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that Evelyn is a knave or Evelyn is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that Logan is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that Alexander is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 3), ('telling-truth', 6)), ('<=>', ('lying', 2), ('telling-truth', 6)), ('<=>', ('telling-truth', 1), ('telling-truth', 3)), ('telling-truth', 2), ('telling-truth', 5), ('lying', 3), ('or', ('lying', 0), ('telling-truth', 0)))", "index": 637}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Emily, Riley, Jack, Victoria, Liam, Amelia, and Avery. As Emily put it, \"Victoria is a knave if and only if Emily is a knight\". Riley said that Emily is not a knave. Jack asserted: \"Emily is a knight and Riley is a knave\". Victoria said that Victoria is a knight or Emily is a knight. Liam asserted: \"Avery is a knight if and only if Amelia is a knight\". As Amelia put it, \"Jack is a knight and Liam is a knave\". \"Amelia is a knight if and only if Riley is a knight\" - Avery. So who is a knight and who is a knave?", "names": ["Emily", "Riley", "Jack", "Victoria", "Liam", "Amelia", "Avery"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, false, false, false, true], "solution_text": "Emily is a knave, Riley is a knave, Jack is a knave, Victoria is a knave, Liam is a knave, Amelia is a knave, and Avery is a knight.", "solution_text_format": "(1) Emily is a knave\n(2) Riley is a knave\n(3) Jack is a knave\n(4) Victoria is a knave\n(5) Liam is a knave\n(6) Amelia is a knave\n(7) Avery is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Emily is a knight. No contradiction is found in their claim that Victoria is a knave if and only if Emily is a knight.", "Victoria cannot be a knight, because this would contradict the claim of Emily that Victoria is a knave if and only if Emily is a knight.", "Victoria cannot be a knave, because this would contradict the false claim of their own that Victoria is a knight or Emily is a knight.", "We have exhausted all possibilities for Victoria, so let us go back and reconsider Emily.", "Assume Emily is a knave. No contradiction is found in their false claim that Victoria is a knave if and only if Emily is a knight.", "Victoria cannot be a knight, because this would contradict the false claim of Emily that Victoria is a knave if and only if Emily is a knight.", "Assume Victoria is a knave. No contradiction is found in their false claim that Victoria is a knight or Emily is a knight.", "Riley cannot be a knight, because this would contradict the claim of their own that Emily is not a knave.", "Assume Riley is a knave. No contradiction is found in their false claim that Emily is not a knave.", "Jack cannot be a knight, because this would contradict the claim of their own that Emily is a knight and Riley is a knave.", "Assume Jack is a knave. No contradiction is found in their false claim that Emily is a knight and Riley is a knave.", "Assume Liam is a knight. No contradiction is found in their claim that Avery is a knight if and only if Amelia is a knight.", "Assume Avery is a knight. No contradiction is found in their claim that Amelia is a knight if and only if Riley is a knight.", "Amelia cannot be a knight, because this would contradict the claim of their own that Jack is a knight and Liam is a knave.", "Amelia cannot be a knave, because this would contradict the claim of Liam that Avery is a knight if and only if Amelia is a knight.", "We have exhausted all possibilities for Amelia, so let us go back and reconsider Avery.", "Assume Avery is a knave. No contradiction is found in their false claim that Amelia is a knight if and only if Riley is a knight.", "Amelia cannot be a knight, because this would contradict the claim of Liam that Avery is a knight if and only if Amelia is a knight.", "Amelia cannot be a knave, because this would contradict the false claim of Avery that Amelia is a knight if and only if Riley is a knight.", "We have exhausted all possibilities for Amelia and Avery, so let us go back and reconsider Liam.", "Assume Liam is a knave. No contradiction is found in their false claim that Avery is a knight if and only if Amelia is a knight.", "Assume Avery is a knight. No contradiction is found in their claim that Amelia is a knight if and only if Riley is a knight.", "Amelia cannot be a knight, because this would contradict the false claim of Liam that Avery is a knight if and only if Amelia is a knight.", "Assume Amelia is a knave. No contradiction is found in their false claim that Jack is a knight and Liam is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 3), ('telling-truth', 0)), ('not', ('lying', 0)), ('and', ('telling-truth', 0), ('lying', 1)), ('or', ('telling-truth', 3), ('telling-truth', 0)), ('<=>', ('telling-truth', 6), ('telling-truth', 5)), ('and', ('telling-truth', 2), ('lying', 4)), ('<=>', ('telling-truth', 5), ('telling-truth', 1)))", "index": 638}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Daniel, Lily, Jackson, Luke, Ethan, William, and Samuel. \"Samuel is a knight or Luke is a knave,\" Daniel declared. Lily noted, \"Lily is a knight if and only if Ethan is a knight\". Jackson said that Daniel is a knight and Samuel is a knight. In a statement by Luke: \"Lily is not a knight\". Ethan told you that Daniel is a knave or Samuel is a knave. William asserted: \"Jackson is a knave\". \"Luke is a knave or Daniel is a knight,\" Samuel claimed. So who is a knight and who is a knave?", "names": ["Daniel", "Lily", "Jackson", "Luke", "Ethan", "William", "Samuel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true, true, true, false], "solution_text": "Daniel is a knave, Lily is a knave, Jackson is a knave, Luke is a knight, Ethan is a knight, William is a knight, and Samuel is a knave.", "solution_text_format": "(1) Daniel is a knave\n(2) Lily is a knave\n(3) Jackson is a knave\n(4) Luke is a knight\n(5) Ethan is a knight\n(6) William is a knight\n(7) Samuel is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Daniel is a knight. No contradiction is found in their claim that Samuel is a knight or Luke is a knave.", "Assume Samuel is a knight. No contradiction is found in their claim that Luke is a knave or Daniel is a knight.", "Assume Luke is a knight. No contradiction is found in their claim that Lily is not a knight.", "Lily cannot be a knight, because this would contradict the claim of Luke that Lily is not a knight.", "Assume Lily is a knave. No contradiction is found in their false claim that Lily is a knight if and only if Ethan is a knight.", "Ethan cannot be a knight, because this would contradict the claim of their own that Daniel is a knave or Samuel is a knave.", "Ethan cannot be a knave, because this would contradict the false claim of Lily that Lily is a knight if and only if Ethan is a knight.", "We have exhausted all possibilities for Ethan and Lily, so let us go back and reconsider Luke.", "Assume Luke is a knave. No contradiction is found in their false claim that Lily is not a knight.", "Assume Lily is a knight. No contradiction is found in their claim that Lily is a knight if and only if Ethan is a knight.", "Ethan cannot be a knight, because this would contradict the claim of their own that Daniel is a knave or Samuel is a knave.", "Ethan cannot be a knave, because this would contradict the claim of Lily that Lily is a knight if and only if Ethan is a knight.", "We have exhausted all possibilities for Ethan, so let us go back and reconsider Lily.", "Lily cannot be a knave, because this would contradict the false claim of Luke that Lily is not a knight.", "We have exhausted all possibilities for Lily and Luke, so let us go back and reconsider Samuel.", "Samuel cannot be a knave, because this would contradict the false claim of their own that Luke is a knave or Daniel is a knight.", "We have exhausted all possibilities for Samuel, so let us go back and reconsider Daniel.", "Assume Daniel is a knave. No contradiction is found in their false claim that Samuel is a knight or Luke is a knave.", "Samuel cannot be a knight, because this would contradict the false claim of Daniel that Samuel is a knight or Luke is a knave.", "Assume Samuel is a knave. No contradiction is found in their false claim that Luke is a knave or Daniel is a knight.", "Assume Luke is a knight. No contradiction is found in their claim that Lily is not a knight.", "Lily cannot be a knight, because this would contradict the claim of Luke that Lily is not a knight.", "Assume Lily is a knave. No contradiction is found in their false claim that Lily is a knight if and only if Ethan is a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that Daniel is a knave or Samuel is a knave.", "Jackson cannot be a knight, because this would contradict the claim of their own that Daniel is a knight and Samuel is a knight.", "Assume Jackson is a knave. No contradiction is found in their false claim that Daniel is a knight and Samuel is a knight.", "Assume William is a knight. No contradiction is found in their claim that Jackson is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 6), ('lying', 3)), ('<=>', ('telling-truth', 1), ('telling-truth', 4)), ('and', ('telling-truth', 0), ('telling-truth', 6)), ('not', ('telling-truth', 1)), ('or', ('lying', 0), ('lying', 6)), ('lying', 2), ('or', ('lying', 3), ('telling-truth', 0)))", "index": 639}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Abigail, Sebastian, Chloe, Alexander, Matthew, Avery, and Michael. \"Alexander is a knight if and only if Sebastian is a knave\" - Abigail. \"If Michael is a knave then Chloe is a knight,\" Sebastian mentioned. In a statement by Chloe: \"If Abigail is a knave then Michael is a knave\". \"Avery is a knight if and only if Avery is a knave,\" Alexander mentioned. In a statement by Matthew: \"Sebastian is not a knave\". In a statement by Avery: \"If Sebastian is a knight then Chloe is a knave\". In a statement by Michael: \"If Sebastian is a knight then Avery is a knight\". So who is a knight and who is a knave?", "names": ["Abigail", "Sebastian", "Chloe", "Alexander", "Matthew", "Avery", "Michael"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false, true, false, false], "solution_text": "Abigail is a knight, Sebastian is a knight, Chloe is a knight, Alexander is a knave, Matthew is a knight, Avery is a knave, and Michael is a knave.", "solution_text_format": "(1) Abigail is a knight\n(2) Sebastian is a knight\n(3) Chloe is a knight\n(4) Alexander is a knave\n(5) Matthew is a knight\n(6) Avery is a knave\n(7) Michael is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Abigail is a knight. No contradiction is found in their claim that Alexander is a knight if and only if Sebastian is a knave.", "Alexander cannot be a knight, because this would contradict the claim of their own that Avery is a knight if and only if Avery is a knave.", "Assume Alexander is a knave. No contradiction is found in their false claim that Avery is a knight if and only if Avery is a knave.", "Assume Avery is a knight. No contradiction is found in their claim that If Sebastian is a knight then Chloe is a knave.", "Assume Sebastian is a knight. No contradiction is found in their claim that If Michael is a knave then Chloe is a knight.", "Assume Michael is a knight. No contradiction is found in their claim that If Sebastian is a knight then Avery is a knight.", "Chloe cannot be a knight, because this would contradict the claim of Avery that If Sebastian is a knight then Chloe is a knave.", "Chloe cannot be a knave, because this would contradict the false claim of their own that If Abigail is a knave then Michael is a knave.", "We have exhausted all possibilities for Chloe, so let us go back and reconsider Michael.", "Michael cannot be a knave, because this would contradict the false claim of their own that If Sebastian is a knight then Avery is a knight.", "We have exhausted all possibilities for Michael, so let us go back and reconsider Sebastian.", "Sebastian cannot be a knave, because this would contradict the claim of Abigail that Alexander is a knight if and only if Sebastian is a knave.", "We have exhausted all possibilities for Sebastian, so let us go back and reconsider Avery.", "Assume Avery is a knave. No contradiction is found in their false claim that If Sebastian is a knight then Chloe is a knave.", "Assume Sebastian is a knight. No contradiction is found in their claim that If Michael is a knave then Chloe is a knight.", "Michael cannot be a knight, because this would contradict the claim of their own that If Sebastian is a knight then Avery is a knight.", "Assume Michael is a knave. No contradiction is found in their false claim that If Sebastian is a knight then Avery is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that If Abigail is a knave then Michael is a knave.", "Assume Matthew is a knight. No contradiction is found in their claim that Sebastian is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 3), ('lying', 1)), ('->', ('lying', 6), ('telling-truth', 2)), ('->', ('lying', 0), ('lying', 6)), ('<=>', ('telling-truth', 5), ('lying', 5)), ('not', ('lying', 1)), ('->', ('telling-truth', 1), ('lying', 2)), ('->', ('telling-truth', 1), ('telling-truth', 5)))", "index": 640}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Victoria, Oliver, Liam, Jacob, James, Daniel, and Sofia. In Victoria's words: \"Oliver is a knight\". \"Liam is a knight and Sofia is a knave\" - Oliver. Liam said that Victoria is not a knight. Jacob said, \"Sofia is a knight if and only if Daniel is a knave.\" James said, \"Sofia is a knight or Daniel is a knave.\" \"James is a knave,\" Daniel claimed. \"If Oliver is a knight then James is a knave,\" Sofia mentioned. So who is a knight and who is a knave?", "names": ["Victoria", "Oliver", "Liam", "Jacob", "James", "Daniel", "Sofia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true, true, false, true], "solution_text": "Victoria is a knave, Oliver is a knave, Liam is a knight, Jacob is a knight, James is a knight, Daniel is a knave, and Sofia is a knight.", "solution_text_format": "(1) Victoria is a knave\n(2) Oliver is a knave\n(3) Liam is a knight\n(4) Jacob is a knight\n(5) James is a knight\n(6) Daniel is a knave\n(7) Sofia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Victoria is a knight. No contradiction is found in their claim that Oliver is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that Liam is a knight and Sofia is a knave.", "Liam cannot be a knight, because this would contradict the claim of their own that Victoria is not a knight.", "Liam cannot be a knave, because this would contradict the claim of Oliver that Liam is a knight and Sofia is a knave.", "We have exhausted all possibilities for Liam, so let us go back and reconsider Oliver.", "Oliver cannot be a knave, because this would contradict the claim of Victoria that Oliver is a knight.", "We have exhausted all possibilities for Oliver, so let us go back and reconsider Victoria.", "Assume Victoria is a knave. No contradiction is found in their false claim that Oliver is a knight.", "Oliver cannot be a knight, because this would contradict the false claim of Victoria that Oliver is a knight.", "Assume Oliver is a knave. No contradiction is found in their false claim that Liam is a knight and Sofia is a knave.", "Assume Liam is a knight. No contradiction is found in their claim that Victoria is not a knight.", "Assume Sofia is a knight. No contradiction is found in their claim that If Oliver is a knight then James is a knave.", "Assume James is a knight. No contradiction is found in their claim that Sofia is a knight or Daniel is a knave.", "Daniel cannot be a knight, because this would contradict the claim of their own that James is a knave.", "Assume Daniel is a knave. No contradiction is found in their false claim that James is a knave.", "Assume Jacob is a knight. No contradiction is found in their claim that Sofia is a knight if and only if Daniel is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 1), ('and', ('telling-truth', 2), ('lying', 6)), ('not', ('telling-truth', 0)), ('<=>', ('telling-truth', 6), ('lying', 5)), ('or', ('telling-truth', 6), ('lying', 5)), ('lying', 4), ('->', ('telling-truth', 1), ('lying', 4)))", "index": 641}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Jackson, Oliver, Samuel, Chloe, Ethan, Mia, and William. Jackson asserted: \"Chloe is a knave\". \"Samuel is a knave if and only if Ethan is a knave,\" Oliver claimed. Samuel stated, \"Mia is a knight and Oliver is a knight\". Chloe commented, \"If Chloe is a knight then Ethan is a knave\". Ethan said that William is a knight and Samuel is a knight. Mia expressed that Jackson is a knight if and only if Chloe is a knight. William asserted: \"Samuel is a knave if and only if Ethan is a knave\". So who is a knight and who is a knave?", "names": ["Jackson", "Oliver", "Samuel", "Chloe", "Ethan", "Mia", "William"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true, false, false, true], "solution_text": "Jackson is a knave, Oliver is a knight, Samuel is a knave, Chloe is a knight, Ethan is a knave, Mia is a knave, and William is a knight.", "solution_text_format": "(1) Jackson is a knave\n(2) Oliver is a knight\n(3) Samuel is a knave\n(4) Chloe is a knight\n(5) Ethan is a knave\n(6) Mia is a knave\n(7) William is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jackson is a knight. No contradiction is found in their claim that Chloe is a knave.", "Chloe cannot be a knight, because this would contradict the claim of Jackson that Chloe is a knave.", "Chloe cannot be a knave, because this would contradict the false claim of their own that If Chloe is a knight then Ethan is a knave.", "We have exhausted all possibilities for Chloe, so let us go back and reconsider Jackson.", "Assume Jackson is a knave. No contradiction is found in their false claim that Chloe is a knave.", "Assume Chloe is a knight. No contradiction is found in their claim that If Chloe is a knight then Ethan is a knave.", "Ethan cannot be a knight, because this would contradict the claim of Chloe that If Chloe is a knight then Ethan is a knave.", "Assume Ethan is a knave. No contradiction is found in their false claim that William is a knight and Samuel is a knight.", "Assume William is a knight. No contradiction is found in their claim that Samuel is a knave if and only if Ethan is a knave.", "Samuel cannot be a knight, because this would contradict the false claim of Ethan that William is a knight and Samuel is a knight.", "Assume Samuel is a knave. No contradiction is found in their false claim that Mia is a knight and Oliver is a knight.", "Mia cannot be a knight, because this would contradict the claim of their own that Jackson is a knight if and only if Chloe is a knight.", "Assume Mia is a knave. No contradiction is found in their false claim that Jackson is a knight if and only if Chloe is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that Samuel is a knave if and only if Ethan is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 3), ('<=>', ('lying', 2), ('lying', 4)), ('and', ('telling-truth', 5), ('telling-truth', 1)), ('->', ('telling-truth', 3), ('lying', 4)), ('and', ('telling-truth', 6), ('telling-truth', 2)), ('<=>', ('telling-truth', 0), ('telling-truth', 3)), ('<=>', ('lying', 2), ('lying', 4)))", "index": 642}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Benjamin, Ethan, Abigail, Emily, Mason, Elizabeth, and David. Benjamin commented, \"If Abigail is a knave then Ethan is a knave\". Ethan noted, \"If Elizabeth is a knave then Mason is a knave\". Abigail noted, \"Emily is a knave if and only if Emily is a knight\". Emily said that Benjamin is not a knave. \"If Emily is a knight then Elizabeth is a knight,\" Mason declared. Elizabeth asserted: \"Ethan is a knight\". \"If Mason is a knave then Ethan is a knight\" - David. So who is a knight and who is a knave?", "names": ["Benjamin", "Ethan", "Abigail", "Emily", "Mason", "Elizabeth", "David"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false, true, true, true], "solution_text": "Benjamin is a knave, Ethan is a knight, Abigail is a knave, Emily is a knave, Mason is a knight, Elizabeth is a knight, and David is a knight.", "solution_text_format": "(1) Benjamin is a knave\n(2) Ethan is a knight\n(3) Abigail is a knave\n(4) Emily is a knave\n(5) Mason is a knight\n(6) Elizabeth is a knight\n(7) David is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Benjamin is a knight. No contradiction is found in their claim that If Abigail is a knave then Ethan is a knave.", "Abigail cannot be a knight, because this would contradict the claim of their own that Emily is a knave if and only if Emily is a knight.", "Assume Abigail is a knave. No contradiction is found in their false claim that Emily is a knave if and only if Emily is a knight.", "Assume Emily is a knight. No contradiction is found in their claim that Benjamin is not a knave.", "Ethan cannot be a knight, because this would contradict the claim of Benjamin that If Abigail is a knave then Ethan is a knave.", "Assume Ethan is a knave. No contradiction is found in their false claim that If Elizabeth is a knave then Mason is a knave.", "Elizabeth cannot be a knight, because this would contradict the false claim of Ethan that If Elizabeth is a knave then Mason is a knave.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Ethan is a knight.", "Mason cannot be a knight, because this would contradict the claim of their own that If Emily is a knight then Elizabeth is a knight.", "Mason cannot be a knave, because this would contradict the false claim of Ethan that If Elizabeth is a knave then Mason is a knave.", "We have exhausted all possibilities for Mason, Elizabeth, and Ethan, so let us go back and reconsider Emily.", "Emily cannot be a knave, because this would contradict the false claim of their own that Benjamin is not a knave.", "We have exhausted all possibilities for Emily and Abigail, so let us go back and reconsider Benjamin.", "Assume Benjamin is a knave. No contradiction is found in their false claim that If Abigail is a knave then Ethan is a knave.", "Abigail cannot be a knight, because this would contradict the false claim of Benjamin that If Abigail is a knave then Ethan is a knave.", "Assume Abigail is a knave. No contradiction is found in their false claim that Emily is a knave if and only if Emily is a knight.", "Emily cannot be a knight, because this would contradict the claim of their own that Benjamin is not a knave.", "Assume Emily is a knave. No contradiction is found in their false claim that Benjamin is not a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that If Elizabeth is a knave then Mason is a knave.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Ethan is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that If Emily is a knight then Elizabeth is a knight.", "Assume David is a knight. No contradiction is found in their claim that If Mason is a knave then Ethan is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 2), ('lying', 1)), ('->', ('lying', 5), ('lying', 4)), ('<=>', ('lying', 3), ('telling-truth', 3)), ('not', ('lying', 0)), ('->', ('telling-truth', 3), ('telling-truth', 5)), ('telling-truth', 1), ('->', ('lying', 4), ('telling-truth', 1)))", "index": 643}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Ella, Sofia, Aurora, Lily, David, Sebastian, and Aria. \"If David is a knight then Aria is a knight,\" Ella mentioned. Sofia asserted: \"Sebastian is a knight if and only if Lily is a knave\". In a statement by Aurora: \"Lily is not a knight\". In Lily's words: \"Ella is a knight and Sebastian is a knight\". David told you that Ella is a knight if and only if Lily is a knave. \"Aurora is a knave or Aurora is a knight,\" Sebastian declared. According to Aria, \"Lily is a knave and Lily is a knight\". So who is a knight and who is a knave?", "names": ["Ella", "Sofia", "Aurora", "Lily", "David", "Sebastian", "Aria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, false, true, false], "solution_text": "Ella is a knight, Sofia is a knave, Aurora is a knave, Lily is a knight, David is a knave, Sebastian is a knight, and Aria is a knave.", "solution_text_format": "(1) Ella is a knight\n(2) Sofia is a knave\n(3) Aurora is a knave\n(4) Lily is a knight\n(5) David is a knave\n(6) Sebastian is a knight\n(7) Aria is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ella is a knight. No contradiction is found in their claim that If David is a knight then Aria is a knight.", "Assume David is a knight. No contradiction is found in their claim that Ella is a knight if and only if Lily is a knave.", "Lily cannot be a knight, because this would contradict the claim of David that Ella is a knight if and only if Lily is a knave.", "Assume Lily is a knave. No contradiction is found in their false claim that Ella is a knight and Sebastian is a knight.", "Sebastian cannot be a knight, because this would contradict the false claim of Lily that Ella is a knight and Sebastian is a knight.", "Sebastian cannot be a knave, because this would contradict the false claim of their own that Aurora is a knave or Aurora is a knight.", "We have exhausted all possibilities for Sebastian and Lily, so let us go back and reconsider David.", "Assume David is a knave. No contradiction is found in their false claim that Ella is a knight if and only if Lily is a knave.", "Assume Lily is a knight. No contradiction is found in their claim that Ella is a knight and Sebastian is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Aurora is a knave or Aurora is a knight.", "Aurora cannot be a knight, because this would contradict the claim of their own that Lily is not a knight.", "Assume Aurora is a knave. No contradiction is found in their false claim that Lily is not a knight.", "Aria cannot be a knight, because this would contradict the claim of their own that Lily is a knave and Lily is a knight.", "Assume Aria is a knave. No contradiction is found in their false claim that Lily is a knave and Lily is a knight.", "Sofia cannot be a knight, because this would contradict the claim of their own that Sebastian is a knight if and only if Lily is a knave.", "Assume Sofia is a knave. No contradiction is found in their false claim that Sebastian is a knight if and only if Lily is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 4), ('telling-truth', 6)), ('<=>', ('telling-truth', 5), ('lying', 3)), ('not', ('telling-truth', 3)), ('and', ('telling-truth', 0), ('telling-truth', 5)), ('<=>', ('telling-truth', 0), ('lying', 3)), ('or', ('lying', 2), ('telling-truth', 2)), ('and', ('lying', 3), ('telling-truth', 3)))", "index": 644}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Aurora, Emma, Sebastian, Emily, Sophia, Evelyn, and Charlotte. Aurora asserted: \"Sophia is a knave and Evelyn is a knight\". In Emma's words: \"Sebastian is a knave\". \"Emily is not a knave,\" Sebastian declared. As Emily put it, \"Emma is a knave if and only if Sophia is a knave\". Sophia said, \"Emily is a knave or Sophia is a knight.\" In a statement by Evelyn: \"Emma is a knave\". Charlotte stated, \"Sebastian is not a knave\". So who is a knight and who is a knave?", "names": ["Aurora", "Emma", "Sebastian", "Emily", "Sophia", "Evelyn", "Charlotte"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, false, true, true], "solution_text": "Aurora is a knight, Emma is a knave, Sebastian is a knight, Emily is a knight, Sophia is a knave, Evelyn is a knight, and Charlotte is a knight.", "solution_text_format": "(1) Aurora is a knight\n(2) Emma is a knave\n(3) Sebastian is a knight\n(4) Emily is a knight\n(5) Sophia is a knave\n(6) Evelyn is a knight\n(7) Charlotte is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aurora is a knight. No contradiction is found in their claim that Sophia is a knave and Evelyn is a knight.", "Sophia cannot be a knight, because this would contradict the claim of Aurora that Sophia is a knave and Evelyn is a knight.", "Assume Sophia is a knave. No contradiction is found in their false claim that Emily is a knave or Sophia is a knight.", "Assume Emily is a knight. No contradiction is found in their claim that Emma is a knave if and only if Sophia is a knave.", "Emma cannot be a knight, because this would contradict the claim of Emily that Emma is a knave if and only if Sophia is a knave.", "Assume Emma is a knave. No contradiction is found in their false claim that Sebastian is a knave.", "Assume Sebastian is a knight. No contradiction is found in their claim that Emily is not a knave.", "Assume Evelyn is a knight. No contradiction is found in their claim that Emma is a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that Sebastian is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 4), ('telling-truth', 5)), ('lying', 2), ('not', ('lying', 3)), ('<=>', ('lying', 1), ('lying', 4)), ('or', ('lying', 3), ('telling-truth', 4)), ('lying', 1), ('not', ('lying', 2)))", "index": 645}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Harper, Lily, Noah, Scarlett, Aurora, Charlotte, and Sophia. In Harper's words: \"Sophia is not a knight\". In a statement by Lily: \"Sophia is not a knight\". Noah expressed that Harper is a knight and Aurora is a knight. Scarlett said that Aurora is not a knight. Aurora expressed that If Sophia is a knight then Noah is a knight. As Charlotte put it, \"Noah is a knave or Scarlett is a knight\". Sophia said, \"Harper is a knight if and only if Aurora is a knight.\" So who is a knight and who is a knave?", "names": ["Harper", "Lily", "Noah", "Scarlett", "Aurora", "Charlotte", "Sophia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true, false, true, true], "solution_text": "Harper is a knave, Lily is a knave, Noah is a knave, Scarlett is a knight, Aurora is a knave, Charlotte is a knight, and Sophia is a knight.", "solution_text_format": "(1) Harper is a knave\n(2) Lily is a knave\n(3) Noah is a knave\n(4) Scarlett is a knight\n(5) Aurora is a knave\n(6) Charlotte is a knight\n(7) Sophia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Harper is a knight. No contradiction is found in their claim that Sophia is not a knight.", "Sophia cannot be a knight, because this would contradict the claim of Harper that Sophia is not a knight.", "Assume Sophia is a knave. No contradiction is found in their false claim that Harper is a knight if and only if Aurora is a knight.", "Aurora cannot be a knight, because this would contradict the false claim of Sophia that Harper is a knight if and only if Aurora is a knight.", "Aurora cannot be a knave, because this would contradict the false claim of their own that If Sophia is a knight then Noah is a knight.", "We have exhausted all possibilities for Aurora and Sophia, so let us go back and reconsider Harper.", "Assume Harper is a knave. No contradiction is found in their false claim that Sophia is not a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that Harper is a knight if and only if Aurora is a knight.", "Aurora cannot be a knight, because this would contradict the claim of Sophia that Harper is a knight if and only if Aurora is a knight.", "Assume Aurora is a knave. No contradiction is found in their false claim that If Sophia is a knight then Noah is a knight.", "Noah cannot be a knight, because this would contradict the claim of their own that Harper is a knight and Aurora is a knight.", "Assume Noah is a knave. No contradiction is found in their false claim that Harper is a knight and Aurora is a knight.", "Lily cannot be a knight, because this would contradict the claim of their own that Sophia is not a knight.", "Assume Lily is a knave. No contradiction is found in their false claim that Sophia is not a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that Aurora is not a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that Noah is a knave or Scarlett is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 6)), ('not', ('telling-truth', 6)), ('and', ('telling-truth', 0), ('telling-truth', 4)), ('not', ('telling-truth', 4)), ('->', ('telling-truth', 6), ('telling-truth', 2)), ('or', ('lying', 2), ('telling-truth', 3)), ('<=>', ('telling-truth', 0), ('telling-truth', 4)))", "index": 646}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Harper, Charlotte, Riley, Zoey, Jack, Emma, and Aria. Harper commented, \"Zoey is a knave\". Charlotte told you that Zoey is a knave if and only if Aria is a knight. According to Riley, \"Aria is a knight\". Zoey stated, \"Emma is a knight or Riley is a knave\". \"Emma is a knave and Harper is a knight\" - Jack. According to Emma, \"Harper is a knave or Harper is a knight\". Aria remarked, \"Zoey is a knave\". So who is a knight and who is a knave?", "names": ["Harper", "Charlotte", "Riley", "Zoey", "Jack", "Emma", "Aria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true, false, true, false], "solution_text": "Harper is a knave, Charlotte is a knight, Riley is a knave, Zoey is a knight, Jack is a knave, Emma is a knight, and Aria is a knave.", "solution_text_format": "(1) Harper is a knave\n(2) Charlotte is a knight\n(3) Riley is a knave\n(4) Zoey is a knight\n(5) Jack is a knave\n(6) Emma is a knight\n(7) Aria is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Harper is a knight. No contradiction is found in their claim that Zoey is a knave.", "Zoey cannot be a knight, because this would contradict the claim of Harper that Zoey is a knave.", "Assume Zoey is a knave. No contradiction is found in their false claim that Emma is a knight or Riley is a knave.", "Emma cannot be a knight, because this would contradict the false claim of Zoey that Emma is a knight or Riley is a knave.", "Emma cannot be a knave, because this would contradict the false claim of their own that Harper is a knave or Harper is a knight.", "We have exhausted all possibilities for Emma and Zoey, so let us go back and reconsider Harper.", "Assume Harper is a knave. No contradiction is found in their false claim that Zoey is a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that Emma is a knight or Riley is a knave.", "Assume Emma is a knight. No contradiction is found in their claim that Harper is a knave or Harper is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that Aria is a knight.", "Aria cannot be a knight, because this would contradict the claim of their own that Zoey is a knave.", "Aria cannot be a knave, because this would contradict the claim of Riley that Aria is a knight.", "We have exhausted all possibilities for Aria, so let us go back and reconsider Riley.", "Assume Riley is a knave. No contradiction is found in their false claim that Aria is a knight.", "Aria cannot be a knight, because this would contradict the false claim of Riley that Aria is a knight.", "Assume Aria is a knave. No contradiction is found in their false claim that Zoey is a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that Zoey is a knave if and only if Aria is a knight.", "Jack cannot be a knight, because this would contradict the claim of their own that Emma is a knave and Harper is a knight.", "Assume Jack is a knave. No contradiction is found in their false claim that Emma is a knave and Harper is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 3), ('<=>', ('lying', 3), ('telling-truth', 6)), ('telling-truth', 6), ('or', ('telling-truth', 5), ('lying', 2)), ('and', ('lying', 5), ('telling-truth', 0)), ('or', ('lying', 0), ('telling-truth', 0)), ('lying', 3))", "index": 647}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Scarlett, James, Henry, Aiden, Daniel, Chloe, and William. Scarlett noted, \"If Aiden is a knight then Chloe is a knight\". \"Henry is a knave if and only if James is a knight\" - James. Henry told you that Aiden is a knave or Scarlett is a knave. Aiden asserted: \"James is a knight if and only if Scarlett is a knave\". \"If Henry is a knight then James is a knave\" - Daniel. \"Scarlett is a knight,\" Chloe claimed. William remarked, \"Chloe is a knight and Aiden is a knave\". So who is a knight and who is a knave?", "names": ["Scarlett", "James", "Henry", "Aiden", "Daniel", "Chloe", "William"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, true, true, false], "solution_text": "Scarlett is a knight, James is a knave, Henry is a knave, Aiden is a knight, Daniel is a knight, Chloe is a knight, and William is a knave.", "solution_text_format": "(1) Scarlett is a knight\n(2) James is a knave\n(3) Henry is a knave\n(4) Aiden is a knight\n(5) Daniel is a knight\n(6) Chloe is a knight\n(7) William is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Scarlett is a knight. No contradiction is found in their claim that If Aiden is a knight then Chloe is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that James is a knight if and only if Scarlett is a knave.", "James cannot be a knight, because this would contradict the claim of Aiden that James is a knight if and only if Scarlett is a knave.", "Assume James is a knave. No contradiction is found in their false claim that Henry is a knave if and only if James is a knight.", "Henry cannot be a knight, because this would contradict the false claim of James that Henry is a knave if and only if James is a knight.", "Assume Henry is a knave. No contradiction is found in their false claim that Aiden is a knave or Scarlett is a knave.", "Assume Chloe is a knight. No contradiction is found in their claim that Scarlett is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that If Henry is a knight then James is a knave.", "William cannot be a knight, because this would contradict the claim of their own that Chloe is a knight and Aiden is a knave.", "Assume William is a knave. No contradiction is found in their false claim that Chloe is a knight and Aiden is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 3), ('telling-truth', 5)), ('<=>', ('lying', 2), ('telling-truth', 1)), ('or', ('lying', 3), ('lying', 0)), ('<=>', ('telling-truth', 1), ('lying', 0)), ('->', ('telling-truth', 2), ('lying', 1)), ('telling-truth', 0), ('and', ('telling-truth', 5), ('lying', 3)))", "index": 648}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Oliver, Evelyn, Aria, Alexander, Mason, Aurora, and Lily. According to Oliver, \"Evelyn is a knave and Mason is a knave\". Evelyn commented, \"Aria is not a knave\". In Aria's words: \"Lily is a knave\". In Alexander's words: \"Aurora is a knight or Aurora is a knave\". \"Aria is a knave,\" Mason claimed. \"Oliver is a knave or Mason is a knight\" - Aurora. \"Aurora is a knight and Alexander is a knight,\" Lily declared. So who is a knight and who is a knave?", "names": ["Oliver", "Evelyn", "Aria", "Alexander", "Mason", "Aurora", "Lily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true, true, true, true], "solution_text": "Oliver is a knave, Evelyn is a knave, Aria is a knave, Alexander is a knight, Mason is a knight, Aurora is a knight, and Lily is a knight.", "solution_text_format": "(1) Oliver is a knave\n(2) Evelyn is a knave\n(3) Aria is a knave\n(4) Alexander is a knight\n(5) Mason is a knight\n(6) Aurora is a knight\n(7) Lily is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Oliver is a knight. No contradiction is found in their claim that Evelyn is a knave and Mason is a knave.", "Evelyn cannot be a knight, because this would contradict the claim of Oliver that Evelyn is a knave and Mason is a knave.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Aria is not a knave.", "Aria cannot be a knight, because this would contradict the false claim of Evelyn that Aria is not a knave.", "Assume Aria is a knave. No contradiction is found in their false claim that Lily is a knave.", "Assume Lily is a knight. No contradiction is found in their claim that Aurora is a knight and Alexander is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that Oliver is a knave or Mason is a knight.", "Mason cannot be a knight, because this would contradict the claim of Oliver that Evelyn is a knave and Mason is a knave.", "Mason cannot be a knave, because this would contradict the false claim of their own that Aria is a knave.", "We have exhausted all possibilities for Mason, so let us go back and reconsider Aurora.", "Aurora cannot be a knave, because this would contradict the claim of Lily that Aurora is a knight and Alexander is a knight.", "We have exhausted all possibilities for Aurora, so let us go back and reconsider Lily.", "Lily cannot be a knave, because this would contradict the false claim of Aria that Lily is a knave.", "We have exhausted all possibilities for Lily, Aria, and Evelyn, so let us go back and reconsider Oliver.", "Assume Oliver is a knave. No contradiction is found in their false claim that Evelyn is a knave and Mason is a knave.", "Assume Evelyn is a knight. No contradiction is found in their claim that Aria is not a knave.", "Assume Aria is a knight. No contradiction is found in their claim that Lily is a knave.", "Lily cannot be a knight, because this would contradict the claim of Aria that Lily is a knave.", "Assume Lily is a knave. No contradiction is found in their false claim that Aurora is a knight and Alexander is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that Oliver is a knave or Mason is a knight.", "Mason cannot be a knight, because this would contradict the claim of their own that Aria is a knave.", "Assume Mason is a knave. No contradiction is found in their false claim that Aria is a knave.", "Alexander cannot be a knight, because this would contradict the false claim of Lily that Aurora is a knight and Alexander is a knight.", "Alexander cannot be a knave, because this would contradict the false claim of their own that Aurora is a knight or Aurora is a knave.", "We have exhausted all possibilities for Alexander and Mason, so let us go back and reconsider Aurora.", "Aurora cannot be a knave, because this would contradict the false claim of their own that Oliver is a knave or Mason is a knight.", "We have exhausted all possibilities for Aurora and Lily, so let us go back and reconsider Aria.", "Aria cannot be a knave, because this would contradict the claim of Evelyn that Aria is not a knave.", "We have exhausted all possibilities for Aria, so let us go back and reconsider Evelyn.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Aria is not a knave.", "Aria cannot be a knight, because this would contradict the false claim of Evelyn that Aria is not a knave.", "Assume Aria is a knave. No contradiction is found in their false claim that Lily is a knave.", "Assume Lily is a knight. No contradiction is found in their claim that Aurora is a knight and Alexander is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that Oliver is a knave or Mason is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that Aria is a knave.", "Assume Alexander is a knight. No contradiction is found in their claim that Aurora is a knight or Aurora is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('lying', 4)), ('not', ('lying', 2)), ('lying', 6), ('or', ('telling-truth', 5), ('lying', 5)), ('lying', 2), ('or', ('lying', 0), ('telling-truth', 4)), ('and', ('telling-truth', 5), ('telling-truth', 3)))", "index": 649}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: David, Victoria, Olivia, Aria, Mason, Amelia, and Isabella. David expressed that If Mason is a knave then Victoria is a knight. \"Isabella is a knave and Amelia is a knave,\" Victoria mentioned. \"Isabella is a knave or Aria is a knave\" - Olivia. Aria asserted: \"If Olivia is a knight then Isabella is a knight\". In Mason's words: \"Amelia is a knight if and only if Olivia is a knight\". In Amelia's words: \"David is a knight if and only if Aria is a knave\". Isabella was heard saying, \"Olivia is a knight and Amelia is a knave\". So who is a knight and who is a knave?", "names": ["David", "Victoria", "Olivia", "Aria", "Mason", "Amelia", "Isabella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false, true, true, false], "solution_text": "David is a knight, Victoria is a knave, Olivia is a knight, Aria is a knave, Mason is a knight, Amelia is a knight, and Isabella is a knave.", "solution_text_format": "(1) David is a knight\n(2) Victoria is a knave\n(3) Olivia is a knight\n(4) Aria is a knave\n(5) Mason is a knight\n(6) Amelia is a knight\n(7) Isabella is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume David is a knight. No contradiction is found in their claim that If Mason is a knave then Victoria is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that Amelia is a knight if and only if Olivia is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that David is a knight if and only if Aria is a knave.", "Aria cannot be a knight, because this would contradict the claim of Amelia that David is a knight if and only if Aria is a knave.", "Assume Aria is a knave. No contradiction is found in their false claim that If Olivia is a knight then Isabella is a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that Isabella is a knave or Aria is a knave.", "Isabella cannot be a knight, because this would contradict the false claim of Aria that If Olivia is a knight then Isabella is a knight.", "Assume Isabella is a knave. No contradiction is found in their false claim that Olivia is a knight and Amelia is a knave.", "Victoria cannot be a knight, because this would contradict the claim of their own that Isabella is a knave and Amelia is a knave.", "Assume Victoria is a knave. No contradiction is found in their false claim that Isabella is a knave and Amelia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 4), ('telling-truth', 1)), ('and', ('lying', 6), ('lying', 5)), ('or', ('lying', 6), ('lying', 3)), ('->', ('telling-truth', 2), ('telling-truth', 6)), ('<=>', ('telling-truth', 5), ('telling-truth', 2)), ('<=>', ('telling-truth', 0), ('lying', 3)), ('and', ('telling-truth', 2), ('lying', 5)))", "index": 650}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: William, Aurora, Sofia, Isabella, Ella, Owen, and Emily. William said, \"Emily is a knave or Aurora is a knight.\" \"Emily is not a knight,\" Aurora mentioned. \"Owen is a knight if and only if Isabella is a knave\" - Sofia. Isabella stated, \"William is not a knave\". \"Isabella is a knight,\" Ella mentioned. Owen noted, \"William is not a knight\". In Emily's words: \"Sofia is a knight\". So who is a knight and who is a knave?", "names": ["William", "Aurora", "Sofia", "Isabella", "Ella", "Owen", "Emily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false, false, true, true], "solution_text": "William is a knave, Aurora is a knave, Sofia is a knight, Isabella is a knave, Ella is a knave, Owen is a knight, and Emily is a knight.", "solution_text_format": "(1) William is a knave\n(2) Aurora is a knave\n(3) Sofia is a knight\n(4) Isabella is a knave\n(5) Ella is a knave\n(6) Owen is a knight\n(7) Emily is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume William is a knight. No contradiction is found in their claim that Emily is a knave or Aurora is a knight.", "Assume Emily is a knight. No contradiction is found in their claim that Sofia is a knight.", "Assume Sofia is a knight. No contradiction is found in their claim that Owen is a knight if and only if Isabella is a knave.", "Owen cannot be a knight, because this would contradict the claim of their own that William is not a knight.", "Assume Owen is a knave. No contradiction is found in their false claim that William is not a knight.", "Assume Isabella is a knight. No contradiction is found in their claim that William is not a knave.", "Aurora cannot be a knight, because this would contradict the claim of their own that Emily is not a knight.", "Aurora cannot be a knave, because this would contradict the claim of William that Emily is a knave or Aurora is a knight.", "We have exhausted all possibilities for Aurora, so let us go back and reconsider Isabella.", "Isabella cannot be a knave, because this would contradict the claim of Sofia that Owen is a knight if and only if Isabella is a knave.", "We have exhausted all possibilities for Isabella and Owen, so let us go back and reconsider Sofia.", "Sofia cannot be a knave, because this would contradict the claim of Emily that Sofia is a knight.", "We have exhausted all possibilities for Sofia, so let us go back and reconsider Emily.", "Assume Emily is a knave. No contradiction is found in their false claim that Sofia is a knight.", "Sofia cannot be a knight, because this would contradict the false claim of Emily that Sofia is a knight.", "Assume Sofia is a knave. No contradiction is found in their false claim that Owen is a knight if and only if Isabella is a knave.", "Owen cannot be a knight, because this would contradict the claim of their own that William is not a knight.", "Assume Owen is a knave. No contradiction is found in their false claim that William is not a knight.", "Isabella cannot be a knight, because this would contradict the false claim of Sofia that Owen is a knight if and only if Isabella is a knave.", "Isabella cannot be a knave, because this would contradict the false claim of their own that William is not a knave.", "We have exhausted all possibilities for Isabella, Owen, Sofia, and Emily, so let us go back and reconsider William.", "Assume William is a knave. No contradiction is found in their false claim that Emily is a knave or Aurora is a knight.", "Assume Emily is a knight. No contradiction is found in their claim that Sofia is a knight.", "Assume Sofia is a knight. No contradiction is found in their claim that Owen is a knight if and only if Isabella is a knave.", "Assume Owen is a knight. No contradiction is found in their claim that William is not a knight.", "Isabella cannot be a knight, because this would contradict the claim of Sofia that Owen is a knight if and only if Isabella is a knave.", "Assume Isabella is a knave. No contradiction is found in their false claim that William is not a knave.", "Aurora cannot be a knight, because this would contradict the false claim of William that Emily is a knave or Aurora is a knight.", "Assume Aurora is a knave. No contradiction is found in their false claim that Emily is not a knight.", "Ella cannot be a knight, because this would contradict the claim of their own that Isabella is a knight.", "Assume Ella is a knave. No contradiction is found in their false claim that Isabella is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 6), ('telling-truth', 1)), ('not', ('telling-truth', 6)), ('<=>', ('telling-truth', 5), ('lying', 3)), ('not', ('lying', 0)), ('telling-truth', 3), ('not', ('telling-truth', 0)), ('telling-truth', 2))", "index": 651}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Zoey, Sophia, Penelope, Avery, Lucas, Emily, and Olivia. Zoey was heard saying, \"Lucas is not a knave\". Sophia said that If Lucas is a knight then Lucas is a knave. Penelope told you that Olivia is a knave or Sophia is a knave. \"Penelope is a knight if and only if Zoey is a knight,\" Avery mentioned. \"Avery is a knight,\" Lucas claimed. In a statement by Emily: \"Sophia is a knight\". Olivia told you that If Penelope is a knight then Zoey is a knave. So who is a knight and who is a knave?", "names": ["Zoey", "Sophia", "Penelope", "Avery", "Lucas", "Emily", "Olivia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, true, false, false], "solution_text": "Zoey is a knight, Sophia is a knave, Penelope is a knight, Avery is a knight, Lucas is a knight, Emily is a knave, and Olivia is a knave.", "solution_text_format": "(1) Zoey is a knight\n(2) Sophia is a knave\n(3) Penelope is a knight\n(4) Avery is a knight\n(5) Lucas is a knight\n(6) Emily is a knave\n(7) Olivia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Zoey is a knight. No contradiction is found in their claim that Lucas is not a knave.", "Assume Lucas is a knight. No contradiction is found in their claim that Avery is a knight.", "Assume Avery is a knight. No contradiction is found in their claim that Penelope is a knight if and only if Zoey is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that Olivia is a knave or Sophia is a knave.", "Olivia cannot be a knight, because this would contradict the claim of their own that If Penelope is a knight then Zoey is a knave.", "Assume Olivia is a knave. No contradiction is found in their false claim that If Penelope is a knight then Zoey is a knave.", "Sophia cannot be a knight, because this would contradict the claim of their own that If Lucas is a knight then Lucas is a knave.", "Assume Sophia is a knave. No contradiction is found in their false claim that If Lucas is a knight then Lucas is a knave.", "Emily cannot be a knight, because this would contradict the claim of their own that Sophia is a knight.", "Assume Emily is a knave. No contradiction is found in their false claim that Sophia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 4)), ('->', ('telling-truth', 4), ('lying', 4)), ('or', ('lying', 6), ('lying', 1)), ('<=>', ('telling-truth', 2), ('telling-truth', 0)), ('telling-truth', 3), ('telling-truth', 1), ('->', ('telling-truth', 2), ('lying', 0)))", "index": 652}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Mia, Sebastian, Grace, Jack, Aiden, David, and Abigail. \"Jack is a knave if and only if Aiden is a knight\" - Mia. In a statement by Sebastian: \"Abigail is a knight if and only if Aiden is a knave\". Grace stated, \"Jack is a knight\". Jack expressed that If Aiden is a knight then Mia is a knave. \"Mia is a knight if and only if David is a knave\" - Aiden. David stated, \"Sebastian is a knight\". Abigail expressed that Grace is not a knave. So who is a knight and who is a knave?", "names": ["Mia", "Sebastian", "Grace", "Jack", "Aiden", "David", "Abigail"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, false, true, true], "solution_text": "Mia is a knight, Sebastian is a knight, Grace is a knight, Jack is a knight, Aiden is a knave, David is a knight, and Abigail is a knight.", "solution_text_format": "(1) Mia is a knight\n(2) Sebastian is a knight\n(3) Grace is a knight\n(4) Jack is a knight\n(5) Aiden is a knave\n(6) David is a knight\n(7) Abigail is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Mia is a knight. No contradiction is found in their claim that Jack is a knave if and only if Aiden is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that If Aiden is a knight then Mia is a knave.", "Aiden cannot be a knight, because this would contradict the claim of Mia that Jack is a knave if and only if Aiden is a knight.", "Assume Aiden is a knave. No contradiction is found in their false claim that Mia is a knight if and only if David is a knave.", "Assume David is a knight. No contradiction is found in their claim that Sebastian is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Abigail is a knight if and only if Aiden is a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that Grace is not a knave.", "Assume Grace is a knight. No contradiction is found in their claim that Jack is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 3), ('telling-truth', 4)), ('<=>', ('telling-truth', 6), ('lying', 4)), ('telling-truth', 3), ('->', ('telling-truth', 4), ('lying', 0)), ('<=>', ('telling-truth', 0), ('lying', 5)), ('telling-truth', 1), ('not', ('lying', 2)))", "index": 653}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Amelia, Emma, Victoria, Scarlett, Owen, Mason, and Daniel. Amelia stated, \"Emma is not a knave\". \"Mason is a knave or Owen is a knight\" - Emma. In a statement by Victoria: \"Scarlett is a knave and Emma is a knight\". Scarlett commented, \"Amelia is a knave and Amelia is a knight\". Owen told you that Amelia is a knave or Daniel is a knave. As Mason put it, \"If Amelia is a knave then Emma is a knight\". In Daniel's words: \"Daniel is a knight and Mason is a knave\". So who is a knight and who is a knave?", "names": ["Amelia", "Emma", "Victoria", "Scarlett", "Owen", "Mason", "Daniel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false, true, true, false], "solution_text": "Amelia is a knight, Emma is a knight, Victoria is a knight, Scarlett is a knave, Owen is a knight, Mason is a knight, and Daniel is a knave.", "solution_text_format": "(1) Amelia is a knight\n(2) Emma is a knight\n(3) Victoria is a knight\n(4) Scarlett is a knave\n(5) Owen is a knight\n(6) Mason is a knight\n(7) Daniel is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Amelia is a knight. No contradiction is found in their claim that Emma is not a knave.", "Assume Emma is a knight. No contradiction is found in their claim that Mason is a knave or Owen is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that If Amelia is a knave then Emma is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that Amelia is a knave or Daniel is a knave.", "Daniel cannot be a knight, because this would contradict the claim of Owen that Amelia is a knave or Daniel is a knave.", "Assume Daniel is a knave. No contradiction is found in their false claim that Daniel is a knight and Mason is a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that Scarlett is a knave and Emma is a knight.", "Scarlett cannot be a knight, because this would contradict the claim of Victoria that Scarlett is a knave and Emma is a knight.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Amelia is a knave and Amelia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 1)), ('or', ('lying', 5), ('telling-truth', 4)), ('and', ('lying', 3), ('telling-truth', 1)), ('and', ('lying', 0), ('telling-truth', 0)), ('or', ('lying', 0), ('lying', 6)), ('->', ('lying', 0), ('telling-truth', 1)), ('and', ('telling-truth', 6), ('lying', 5)))", "index": 654}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Mason, Alexander, Victoria, Sebastian, Jack, Samuel, and James. \"Samuel is a knight or Sebastian is a knave,\" Mason claimed. \"Victoria is a knave and Mason is a knave,\" Alexander mentioned. \"Samuel is a knight and James is a knave,\" Victoria mentioned. \"Jack is a knave,\" Sebastian declared. Jack remarked, \"Samuel is a knight\". Samuel commented, \"Jack is a knave or James is a knight\". \"If Samuel is a knight then Victoria is a knave\" - James. So who is a knight and who is a knave?", "names": ["Mason", "Alexander", "Victoria", "Sebastian", "Jack", "Samuel", "James"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false, true, true, true], "solution_text": "Mason is a knight, Alexander is a knave, Victoria is a knave, Sebastian is a knave, Jack is a knight, Samuel is a knight, and James is a knight.", "solution_text_format": "(1) Mason is a knight\n(2) Alexander is a knave\n(3) Victoria is a knave\n(4) Sebastian is a knave\n(5) Jack is a knight\n(6) Samuel is a knight\n(7) James is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Mason is a knight. No contradiction is found in their claim that Samuel is a knight or Sebastian is a knave.", "Assume Samuel is a knight. No contradiction is found in their claim that Jack is a knave or James is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that Samuel is a knight.", "Assume James is a knight. No contradiction is found in their claim that If Samuel is a knight then Victoria is a knave.", "Victoria cannot be a knight, because this would contradict the claim of their own that Samuel is a knight and James is a knave.", "Assume Victoria is a knave. No contradiction is found in their false claim that Samuel is a knight and James is a knave.", "Sebastian cannot be a knight, because this would contradict the claim of their own that Jack is a knave.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Jack is a knave.", "Alexander cannot be a knight, because this would contradict the claim of their own that Victoria is a knave and Mason is a knave.", "Assume Alexander is a knave. No contradiction is found in their false claim that Victoria is a knave and Mason is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 5), ('lying', 3)), ('and', ('lying', 2), ('lying', 0)), ('and', ('telling-truth', 5), ('lying', 6)), ('lying', 4), ('telling-truth', 5), ('or', ('lying', 4), ('telling-truth', 6)), ('->', ('telling-truth', 5), ('lying', 2)))", "index": 655}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Emma, Penelope, Oliver, Joseph, Jackson, Zoey, and Isabella. Emma told you that Jackson is a knave if and only if Zoey is a knight. \"Oliver is a knight,\" Penelope mentioned. Oliver expressed that Penelope is a knave if and only if Emma is a knave. Joseph told you that Emma is a knave or Oliver is a knave. \"If Oliver is a knight then Emma is a knave\" - Jackson. Zoey noted, \"Emma is not a knight\". Isabella asserted: \"Zoey is a knight and Joseph is a knight\". So who is a knight and who is a knave?", "names": ["Emma", "Penelope", "Oliver", "Joseph", "Jackson", "Zoey", "Isabella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, true, false, false], "solution_text": "Emma is a knight, Penelope is a knave, Oliver is a knave, Joseph is a knight, Jackson is a knight, Zoey is a knave, and Isabella is a knave.", "solution_text_format": "(1) Emma is a knight\n(2) Penelope is a knave\n(3) Oliver is a knave\n(4) Joseph is a knight\n(5) Jackson is a knight\n(6) Zoey is a knave\n(7) Isabella is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Emma is a knight. No contradiction is found in their claim that Jackson is a knave if and only if Zoey is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that If Oliver is a knight then Emma is a knave.", "Oliver cannot be a knight, because this would contradict the claim of Jackson that If Oliver is a knight then Emma is a knave.", "Assume Oliver is a knave. No contradiction is found in their false claim that Penelope is a knave if and only if Emma is a knave.", "Penelope cannot be a knight, because this would contradict the claim of their own that Oliver is a knight.", "Assume Penelope is a knave. No contradiction is found in their false claim that Oliver is a knight.", "Zoey cannot be a knight, because this would contradict the claim of Emma that Jackson is a knave if and only if Zoey is a knight.", "Assume Zoey is a knave. No contradiction is found in their false claim that Emma is not a knight.", "Assume Joseph is a knight. No contradiction is found in their claim that Emma is a knave or Oliver is a knave.", "Isabella cannot be a knight, because this would contradict the claim of their own that Zoey is a knight and Joseph is a knight.", "Assume Isabella is a knave. No contradiction is found in their false claim that Zoey is a knight and Joseph is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 4), ('telling-truth', 5)), ('telling-truth', 2), ('<=>', ('lying', 1), ('lying', 0)), ('or', ('lying', 0), ('lying', 2)), ('->', ('telling-truth', 2), ('lying', 0)), ('not', ('telling-truth', 0)), ('and', ('telling-truth', 5), ('telling-truth', 3)))", "index": 656}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Noah, Emma, Lucas, Avery, Olivia, Luke, and Victoria. In a statement by Noah: \"Luke is a knight\". Emma commented, \"Lucas is a knight if and only if Lucas is a knave\". In a statement by Lucas: \"Olivia is a knave\". Avery remarked, \"If Noah is a knight then Luke is a knave\". Olivia asserted: \"Emma is a knight\". \"Victoria is a knave and Olivia is a knave,\" Luke mentioned. Victoria said, \"If Noah is a knave then Lucas is a knight.\" So who is a knight and who is a knave?", "names": ["Noah", "Emma", "Lucas", "Avery", "Olivia", "Luke", "Victoria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true, false, false, true], "solution_text": "Noah is a knave, Emma is a knave, Lucas is a knight, Avery is a knight, Olivia is a knave, Luke is a knave, and Victoria is a knight.", "solution_text_format": "(1) Noah is a knave\n(2) Emma is a knave\n(3) Lucas is a knight\n(4) Avery is a knight\n(5) Olivia is a knave\n(6) Luke is a knave\n(7) Victoria is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Noah is a knight. No contradiction is found in their claim that Luke is a knight.", "Assume Luke is a knight. No contradiction is found in their claim that Victoria is a knave and Olivia is a knave.", "Victoria cannot be a knight, because this would contradict the claim of Luke that Victoria is a knave and Olivia is a knave.", "Victoria cannot be a knave, because this would contradict the false claim of their own that If Noah is a knave then Lucas is a knight.", "We have exhausted all possibilities for Victoria, so let us go back and reconsider Luke.", "Luke cannot be a knave, because this would contradict the claim of Noah that Luke is a knight.", "We have exhausted all possibilities for Luke, so let us go back and reconsider Noah.", "Assume Noah is a knave. No contradiction is found in their false claim that Luke is a knight.", "Luke cannot be a knight, because this would contradict the false claim of Noah that Luke is a knight.", "Assume Luke is a knave. No contradiction is found in their false claim that Victoria is a knave and Olivia is a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that If Noah is a knave then Lucas is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that Olivia is a knave.", "Olivia cannot be a knight, because this would contradict the claim of Lucas that Olivia is a knave.", "Assume Olivia is a knave. No contradiction is found in their false claim that Emma is a knight.", "Emma cannot be a knight, because this would contradict the claim of their own that Lucas is a knight if and only if Lucas is a knave.", "Assume Emma is a knave. No contradiction is found in their false claim that Lucas is a knight if and only if Lucas is a knave.", "Assume Avery is a knight. No contradiction is found in their claim that If Noah is a knight then Luke is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 5), ('<=>', ('telling-truth', 2), ('lying', 2)), ('lying', 4), ('->', ('telling-truth', 0), ('lying', 5)), ('telling-truth', 1), ('and', ('lying', 6), ('lying', 4)), ('->', ('lying', 0), ('telling-truth', 2)))", "index": 657}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: David, Evelyn, Jacob, James, Lucas, Jackson, and Elizabeth. According to David, \"Lucas is a knight if and only if Jacob is a knave\". Evelyn said that If Evelyn is a knight then Jacob is a knight. Jacob was heard saying, \"Jacob is a knight\". According to James, \"Jackson is a knave and Elizabeth is a knight\". Lucas said that James is not a knight. According to Jackson, \"James is a knight if and only if Elizabeth is a knight\". Elizabeth stated, \"Lucas is a knave and James is a knave\". So who is a knight and who is a knave?", "names": ["David", "Evelyn", "Jacob", "James", "Lucas", "Jackson", "Elizabeth"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false, true, true, false], "solution_text": "David is a knave, Evelyn is a knight, Jacob is a knight, James is a knave, Lucas is a knight, Jackson is a knight, and Elizabeth is a knave.", "solution_text_format": "(1) David is a knave\n(2) Evelyn is a knight\n(3) Jacob is a knight\n(4) James is a knave\n(5) Lucas is a knight\n(6) Jackson is a knight\n(7) Elizabeth is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume David is a knight. No contradiction is found in their claim that Lucas is a knight if and only if Jacob is a knave.", "Assume Lucas is a knight. No contradiction is found in their claim that James is not a knight.", "James cannot be a knight, because this would contradict the claim of Lucas that James is not a knight.", "Assume James is a knave. No contradiction is found in their false claim that Jackson is a knave and Elizabeth is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that James is a knight if and only if Elizabeth is a knight.", "Elizabeth cannot be a knight, because this would contradict the claim of Jackson that James is a knight if and only if Elizabeth is a knight.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Lucas is a knave and James is a knave.", "Jacob cannot be a knight, because this would contradict the claim of David that Lucas is a knight if and only if Jacob is a knave.", "Assume Jacob is a knave. No contradiction is found in their false claim that Jacob is a knight.", "Evelyn cannot be a knight, because this would contradict the claim of their own that If Evelyn is a knight then Jacob is a knight.", "Evelyn cannot be a knave, because this would contradict the false claim of their own that If Evelyn is a knight then Jacob is a knight.", "We have exhausted all possibilities for Evelyn, Jacob, and Elizabeth, so let us go back and reconsider Jackson.", "Assume Jackson is a knave. No contradiction is found in their false claim that James is a knight if and only if Elizabeth is a knight.", "Elizabeth cannot be a knight, because this would contradict the false claim of James that Jackson is a knave and Elizabeth is a knight.", "Elizabeth cannot be a knave, because this would contradict the false claim of Jackson that James is a knight if and only if Elizabeth is a knight.", "We have exhausted all possibilities for Elizabeth, Jackson, and James, so let us go back and reconsider Lucas.", "Assume Lucas is a knave. No contradiction is found in their false claim that James is not a knight.", "Assume James is a knight. No contradiction is found in their claim that Jackson is a knave and Elizabeth is a knight.", "Jackson cannot be a knight, because this would contradict the claim of James that Jackson is a knave and Elizabeth is a knight.", "Assume Jackson is a knave. No contradiction is found in their false claim that James is a knight if and only if Elizabeth is a knight.", "Elizabeth cannot be a knight, because this would contradict the false claim of Jackson that James is a knight if and only if Elizabeth is a knight.", "Elizabeth cannot be a knave, because this would contradict the claim of James that Jackson is a knave and Elizabeth is a knight.", "We have exhausted all possibilities for Elizabeth and Jackson, so let us go back and reconsider James.", "James cannot be a knave, because this would contradict the false claim of Lucas that James is not a knight.", "We have exhausted all possibilities for James and Lucas, so let us go back and reconsider David.", "Assume David is a knave. No contradiction is found in their false claim that Lucas is a knight if and only if Jacob is a knave.", "Assume Lucas is a knight. No contradiction is found in their claim that James is not a knight.", "James cannot be a knight, because this would contradict the claim of Lucas that James is not a knight.", "Assume James is a knave. No contradiction is found in their false claim that Jackson is a knave and Elizabeth is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that James is a knight if and only if Elizabeth is a knight.", "Elizabeth cannot be a knight, because this would contradict the claim of Jackson that James is a knight if and only if Elizabeth is a knight.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Lucas is a knave and James is a knave.", "Assume Jacob is a knight. No contradiction is found in their claim that Jacob is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that If Evelyn is a knight then Jacob is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 4), ('lying', 2)), ('->', ('telling-truth', 1), ('telling-truth', 2)), ('telling-truth', 2), ('and', ('lying', 5), ('telling-truth', 6)), ('not', ('telling-truth', 3)), ('<=>', ('telling-truth', 3), ('telling-truth', 6)), ('and', ('lying', 4), ('lying', 3)))", "index": 658}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Abigail, Zoey, Grace, Penelope, Jacob, Emma, and Logan. Abigail was heard saying, \"Penelope is a knave or Logan is a knight\". In Zoey's words: \"Abigail is a knight and Grace is a knave\". Grace expressed that If Abigail is a knave then Penelope is a knave. Penelope expressed that Abigail is not a knight. In Jacob's words: \"Zoey is a knave if and only if Abigail is a knave\". Emma stated, \"Zoey is a knave and Penelope is a knight\". In a statement by Logan: \"Grace is a knave if and only if Abigail is a knave\". So who is a knight and who is a knave?", "names": ["Abigail", "Zoey", "Grace", "Penelope", "Jacob", "Emma", "Logan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false, false, false, true], "solution_text": "Abigail is a knight, Zoey is a knave, Grace is a knight, Penelope is a knave, Jacob is a knave, Emma is a knave, and Logan is a knight.", "solution_text_format": "(1) Abigail is a knight\n(2) Zoey is a knave\n(3) Grace is a knight\n(4) Penelope is a knave\n(5) Jacob is a knave\n(6) Emma is a knave\n(7) Logan is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Abigail is a knight. No contradiction is found in their claim that Penelope is a knave or Logan is a knight.", "Penelope cannot be a knight, because this would contradict the claim of their own that Abigail is not a knight.", "Assume Penelope is a knave. No contradiction is found in their false claim that Abigail is not a knight.", "Assume Logan is a knight. No contradiction is found in their claim that Grace is a knave if and only if Abigail is a knave.", "Assume Grace is a knight. No contradiction is found in their claim that If Abigail is a knave then Penelope is a knave.", "Zoey cannot be a knight, because this would contradict the claim of their own that Abigail is a knight and Grace is a knave.", "Assume Zoey is a knave. No contradiction is found in their false claim that Abigail is a knight and Grace is a knave.", "Jacob cannot be a knight, because this would contradict the claim of their own that Zoey is a knave if and only if Abigail is a knave.", "Assume Jacob is a knave. No contradiction is found in their false claim that Zoey is a knave if and only if Abigail is a knave.", "Emma cannot be a knight, because this would contradict the claim of their own that Zoey is a knave and Penelope is a knight.", "Assume Emma is a knave. No contradiction is found in their false claim that Zoey is a knave and Penelope is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 3), ('telling-truth', 6)), ('and', ('telling-truth', 0), ('lying', 2)), ('->', ('lying', 0), ('lying', 3)), ('not', ('telling-truth', 0)), ('<=>', ('lying', 1), ('lying', 0)), ('and', ('lying', 1), ('telling-truth', 3)), ('<=>', ('lying', 2), ('lying', 0)))", "index": 659}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Elizabeth, Scarlett, Ava, Daniel, Henry, Jack, and Penelope. Elizabeth told you that Henry is not a knave. Scarlett said that If Jack is a knave then Penelope is a knight. As Ava put it, \"Elizabeth is a knight or Elizabeth is a knave\". Daniel stated, \"Henry is a knight if and only if Elizabeth is a knave\". In a statement by Henry: \"Daniel is a knight\". Jack commented, \"Henry is a knave or Elizabeth is a knave\". \"Henry is a knight and Daniel is a knave,\" Penelope declared. So who is a knight and who is a knave?", "names": ["Elizabeth", "Scarlett", "Ava", "Daniel", "Henry", "Jack", "Penelope"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false, false, true, false], "solution_text": "Elizabeth is a knave, Scarlett is a knight, Ava is a knight, Daniel is a knave, Henry is a knave, Jack is a knight, and Penelope is a knave.", "solution_text_format": "(1) Elizabeth is a knave\n(2) Scarlett is a knight\n(3) Ava is a knight\n(4) Daniel is a knave\n(5) Henry is a knave\n(6) Jack is a knight\n(7) Penelope is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Elizabeth is a knight. No contradiction is found in their claim that Henry is not a knave.", "Assume Henry is a knight. No contradiction is found in their claim that Daniel is a knight.", "Daniel cannot be a knight, because this would contradict the claim of their own that Henry is a knight if and only if Elizabeth is a knave.", "Daniel cannot be a knave, because this would contradict the claim of Henry that Daniel is a knight.", "We have exhausted all possibilities for Daniel, so let us go back and reconsider Henry.", "Henry cannot be a knave, because this would contradict the claim of Elizabeth that Henry is not a knave.", "We have exhausted all possibilities for Henry, so let us go back and reconsider Elizabeth.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Henry is not a knave.", "Henry cannot be a knight, because this would contradict the false claim of Elizabeth that Henry is not a knave.", "Assume Henry is a knave. No contradiction is found in their false claim that Daniel is a knight.", "Daniel cannot be a knight, because this would contradict the claim of their own that Henry is a knight if and only if Elizabeth is a knave.", "Assume Daniel is a knave. No contradiction is found in their false claim that Henry is a knight if and only if Elizabeth is a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that If Jack is a knave then Penelope is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that Henry is a knave or Elizabeth is a knave.", "Penelope cannot be a knight, because this would contradict the claim of their own that Henry is a knight and Daniel is a knave.", "Assume Penelope is a knave. No contradiction is found in their false claim that Henry is a knight and Daniel is a knave.", "Assume Ava is a knight. No contradiction is found in their claim that Elizabeth is a knight or Elizabeth is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 4)), ('->', ('lying', 5), ('telling-truth', 6)), ('or', ('telling-truth', 0), ('lying', 0)), ('<=>', ('telling-truth', 4), ('lying', 0)), ('telling-truth', 3), ('or', ('lying', 4), ('lying', 0)), ('and', ('telling-truth', 4), ('lying', 3)))", "index": 660}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Amelia, Scarlett, James, Owen, Lucas, Jacob, and Lily. In Amelia's words: \"Scarlett is a knave and James is a knight\". Scarlett expressed that If Amelia is a knave then Owen is a knight. James commented, \"Lily is a knave\". In a statement by Owen: \"If Owen is a knight then Lily is a knight\". Lucas was heard saying, \"If Owen is a knight then Owen is a knave\". Jacob asserted: \"If Scarlett is a knight then Lily is a knight\". Lily commented, \"Amelia is a knight if and only if Owen is a knave\". So who is a knight and who is a knave?", "names": ["Amelia", "Scarlett", "James", "Owen", "Lucas", "Jacob", "Lily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true, false, true, true], "solution_text": "Amelia is a knave, Scarlett is a knight, James is a knave, Owen is a knight, Lucas is a knave, Jacob is a knight, and Lily is a knight.", "solution_text_format": "(1) Amelia is a knave\n(2) Scarlett is a knight\n(3) James is a knave\n(4) Owen is a knight\n(5) Lucas is a knave\n(6) Jacob is a knight\n(7) Lily is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Amelia is a knight. No contradiction is found in their claim that Scarlett is a knave and James is a knight.", "Scarlett cannot be a knight, because this would contradict the claim of Amelia that Scarlett is a knave and James is a knight.", "Scarlett cannot be a knave, because this would contradict the false claim of their own that If Amelia is a knave then Owen is a knight.", "We have exhausted all possibilities for Scarlett, so let us go back and reconsider Amelia.", "Assume Amelia is a knave. No contradiction is found in their false claim that Scarlett is a knave and James is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that If Amelia is a knave then Owen is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that If Owen is a knight then Lily is a knight.", "Assume Lily is a knight. No contradiction is found in their claim that Amelia is a knight if and only if Owen is a knave.", "James cannot be a knight, because this would contradict the claim of their own that Lily is a knave.", "Assume James is a knave. No contradiction is found in their false claim that Lily is a knave.", "Lucas cannot be a knight, because this would contradict the claim of their own that If Owen is a knight then Owen is a knave.", "Assume Lucas is a knave. No contradiction is found in their false claim that If Owen is a knight then Owen is a knave.", "Assume Jacob is a knight. No contradiction is found in their claim that If Scarlett is a knight then Lily is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('telling-truth', 2)), ('->', ('lying', 0), ('telling-truth', 3)), ('lying', 6), ('->', ('telling-truth', 3), ('telling-truth', 6)), ('->', ('telling-truth', 3), ('lying', 3)), ('->', ('telling-truth', 1), ('telling-truth', 6)), ('<=>', ('telling-truth', 0), ('lying', 3)))", "index": 661}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Riley, Samuel, Alexander, Sofia, Scarlett, James, and Ethan. \"Sofia is not a knight,\" Riley declared. Samuel asserted: \"Sofia is a knight\". Alexander said, \"Ethan is a knave and Riley is a knave.\" Sofia said, \"Alexander is a knight if and only if James is a knight.\" Scarlett said, \"Samuel is a knight if and only if James is a knave.\" James commented, \"Riley is a knight if and only if Ethan is a knave\". As Ethan put it, \"Scarlett is a knave if and only if Riley is a knight\". So who is a knight and who is a knave?", "names": ["Riley", "Samuel", "Alexander", "Sofia", "Scarlett", "James", "Ethan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false, true, true, false], "solution_text": "Riley is a knight, Samuel is a knave, Alexander is a knave, Sofia is a knave, Scarlett is a knight, James is a knight, and Ethan is a knave.", "solution_text_format": "(1) Riley is a knight\n(2) Samuel is a knave\n(3) Alexander is a knave\n(4) Sofia is a knave\n(5) Scarlett is a knight\n(6) James is a knight\n(7) Ethan is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Riley is a knight. No contradiction is found in their claim that Sofia is not a knight.", "Sofia cannot be a knight, because this would contradict the claim of Riley that Sofia is not a knight.", "Assume Sofia is a knave. No contradiction is found in their false claim that Alexander is a knight if and only if James is a knight.", "Alexander cannot be a knight, because this would contradict the claim of their own that Ethan is a knave and Riley is a knave.", "Assume Alexander is a knave. No contradiction is found in their false claim that Ethan is a knave and Riley is a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that Scarlett is a knave if and only if Riley is a knight.", "Scarlett cannot be a knight, because this would contradict the claim of Ethan that Scarlett is a knave if and only if Riley is a knight.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Samuel is a knight if and only if James is a knave.", "Samuel cannot be a knight, because this would contradict the claim of their own that Sofia is a knight.", "Assume Samuel is a knave. No contradiction is found in their false claim that Sofia is a knight.", "James cannot be a knight, because this would contradict the false claim of Scarlett that Samuel is a knight if and only if James is a knave.", "James cannot be a knave, because this would contradict the false claim of Sofia that Alexander is a knight if and only if James is a knight.", "We have exhausted all possibilities for James, Samuel, and Scarlett, so let us go back and reconsider Ethan.", "Assume Ethan is a knave. No contradiction is found in their false claim that Scarlett is a knave if and only if Riley is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that Samuel is a knight if and only if James is a knave.", "Samuel cannot be a knight, because this would contradict the claim of their own that Sofia is a knight.", "Assume Samuel is a knave. No contradiction is found in their false claim that Sofia is a knight.", "Assume James is a knight. No contradiction is found in their claim that Riley is a knight if and only if Ethan is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 3)), ('telling-truth', 3), ('and', ('lying', 6), ('lying', 0)), ('<=>', ('telling-truth', 2), ('telling-truth', 5)), ('<=>', ('telling-truth', 1), ('lying', 5)), ('<=>', ('telling-truth', 0), ('lying', 6)), ('<=>', ('lying', 4), ('telling-truth', 0)))", "index": 662}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Ethan, Elizabeth, Abigail, Matthew, Ella, Ava, and Penelope. Ethan said, \"Ella is a knight.\" Elizabeth told you that Abigail is a knight if and only if Abigail is a knave. According to Abigail, \"Ella is a knight if and only if Abigail is a knight\". Matthew was heard saying, \"Abigail is a knight if and only if Matthew is a knight\". As Ella put it, \"Matthew is a knave or Elizabeth is a knight\". \"Elizabeth is a knight and Penelope is a knave\" - Ava. Penelope was heard saying, \"Matthew is not a knight\". So who is a knight and who is a knave?", "names": ["Ethan", "Elizabeth", "Abigail", "Matthew", "Ella", "Ava", "Penelope"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false, true, false, true], "solution_text": "Ethan is a knight, Elizabeth is a knave, Abigail is a knight, Matthew is a knave, Ella is a knight, Ava is a knave, and Penelope is a knight.", "solution_text_format": "(1) Ethan is a knight\n(2) Elizabeth is a knave\n(3) Abigail is a knight\n(4) Matthew is a knave\n(5) Ella is a knight\n(6) Ava is a knave\n(7) Penelope is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ethan is a knight. No contradiction is found in their claim that Ella is a knight.", "Assume Ella is a knight. No contradiction is found in their claim that Matthew is a knave or Elizabeth is a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that Abigail is a knight if and only if Matthew is a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that Ella is a knight if and only if Abigail is a knight.", "Elizabeth cannot be a knight, because this would contradict the claim of their own that Abigail is a knight if and only if Abigail is a knave.", "Elizabeth cannot be a knave, because this would contradict the claim of Ella that Matthew is a knave or Elizabeth is a knight.", "We have exhausted all possibilities for Elizabeth, so let us go back and reconsider Abigail.", "Abigail cannot be a knave, because this would contradict the claim of Matthew that Abigail is a knight if and only if Matthew is a knight.", "We have exhausted all possibilities for Abigail, so let us go back and reconsider Matthew.", "Assume Matthew is a knave. No contradiction is found in their false claim that Abigail is a knight if and only if Matthew is a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that Ella is a knight if and only if Abigail is a knight.", "Elizabeth cannot be a knight, because this would contradict the claim of their own that Abigail is a knight if and only if Abigail is a knave.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Abigail is a knight if and only if Abigail is a knave.", "Ava cannot be a knight, because this would contradict the claim of their own that Elizabeth is a knight and Penelope is a knave.", "Assume Ava is a knave. No contradiction is found in their false claim that Elizabeth is a knight and Penelope is a knave.", "Assume Penelope is a knight. No contradiction is found in their claim that Matthew is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 4), ('<=>', ('telling-truth', 2), ('lying', 2)), ('<=>', ('telling-truth', 4), ('telling-truth', 2)), ('<=>', ('telling-truth', 2), ('telling-truth', 3)), ('or', ('lying', 3), ('telling-truth', 1)), ('and', ('telling-truth', 1), ('lying', 6)), ('not', ('telling-truth', 3)))", "index": 663}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Ella, Lily, Sophia, Chloe, Benjamin, Sofia, and Aria. In Ella's words: \"If Sophia is a knight then Benjamin is a knave\". According to Lily, \"Ella is not a knave\". According to Sophia, \"If Sofia is a knave then Aria is a knave\". Chloe told you that Benjamin is not a knave. Benjamin stated, \"Lily is a knight if and only if Ella is a knave\". Sofia noted, \"Aria is a knight and Ella is a knave\". Aria said, \"Benjamin is a knave and Ella is a knight.\" So who is a knight and who is a knave?", "names": ["Ella", "Lily", "Sophia", "Chloe", "Benjamin", "Sofia", "Aria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false, false, false, true], "solution_text": "Ella is a knight, Lily is a knight, Sophia is a knave, Chloe is a knave, Benjamin is a knave, Sofia is a knave, and Aria is a knight.", "solution_text_format": "(1) Ella is a knight\n(2) Lily is a knight\n(3) Sophia is a knave\n(4) Chloe is a knave\n(5) Benjamin is a knave\n(6) Sofia is a knave\n(7) Aria is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ella is a knight. No contradiction is found in their claim that If Sophia is a knight then Benjamin is a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that If Sofia is a knave then Aria is a knave.", "Sofia cannot be a knight, because this would contradict the claim of their own that Aria is a knight and Ella is a knave.", "Assume Sofia is a knave. No contradiction is found in their false claim that Aria is a knight and Ella is a knave.", "Aria cannot be a knight, because this would contradict the claim of Sophia that If Sofia is a knave then Aria is a knave.", "Assume Aria is a knave. No contradiction is found in their false claim that Benjamin is a knave and Ella is a knight.", "Benjamin cannot be a knight, because this would contradict the claim of Ella that If Sophia is a knight then Benjamin is a knave.", "Benjamin cannot be a knave, because this would contradict the false claim of Aria that Benjamin is a knave and Ella is a knight.", "We have exhausted all possibilities for Benjamin, Aria, and Sofia, so let us go back and reconsider Sophia.", "Assume Sophia is a knave. No contradiction is found in their false claim that If Sofia is a knave then Aria is a knave.", "Sofia cannot be a knight, because this would contradict the false claim of Sophia that If Sofia is a knave then Aria is a knave.", "Assume Sofia is a knave. No contradiction is found in their false claim that Aria is a knight and Ella is a knave.", "Assume Aria is a knight. No contradiction is found in their claim that Benjamin is a knave and Ella is a knight.", "Benjamin cannot be a knight, because this would contradict the claim of Aria that Benjamin is a knave and Ella is a knight.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Lily is a knight if and only if Ella is a knave.", "Assume Lily is a knight. No contradiction is found in their claim that Ella is not a knave.", "Chloe cannot be a knight, because this would contradict the claim of their own that Benjamin is not a knave.", "Assume Chloe is a knave. No contradiction is found in their false claim that Benjamin is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 2), ('lying', 4)), ('not', ('lying', 0)), ('->', ('lying', 5), ('lying', 6)), ('not', ('lying', 4)), ('<=>', ('telling-truth', 1), ('lying', 0)), ('and', ('telling-truth', 6), ('lying', 0)), ('and', ('lying', 4), ('telling-truth', 0)))", "index": 664}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Aria, Penelope, Emily, Aurora, Amelia, Henry, and Sophia. \"Aurora is not a knave\" - Aria. \"Aria is a knave,\" Penelope claimed. Emily commented, \"Aria is not a knight\". Aurora asserted: \"Amelia is a knight and Henry is a knight\". Amelia was heard saying, \"Aurora is a knave and Aria is a knight\". Henry remarked, \"If Aurora is a knight then Sophia is a knight\". Sophia commented, \"If Penelope is a knight then Penelope is a knave\". So who is a knight and who is a knave?", "names": ["Aria", "Penelope", "Emily", "Aurora", "Amelia", "Henry", "Sophia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false, false, true, false], "solution_text": "Aria is a knave, Penelope is a knight, Emily is a knight, Aurora is a knave, Amelia is a knave, Henry is a knight, and Sophia is a knave.", "solution_text_format": "(1) Aria is a knave\n(2) Penelope is a knight\n(3) Emily is a knight\n(4) Aurora is a knave\n(5) Amelia is a knave\n(6) Henry is a knight\n(7) Sophia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aria is a knight. No contradiction is found in their claim that Aurora is not a knave.", "Assume Aurora is a knight. No contradiction is found in their claim that Amelia is a knight and Henry is a knight.", "Amelia cannot be a knight, because this would contradict the claim of their own that Aurora is a knave and Aria is a knight.", "Amelia cannot be a knave, because this would contradict the claim of Aurora that Amelia is a knight and Henry is a knight.", "We have exhausted all possibilities for Amelia, so let us go back and reconsider Aurora.", "Aurora cannot be a knave, because this would contradict the claim of Aria that Aurora is not a knave.", "We have exhausted all possibilities for Aurora, so let us go back and reconsider Aria.", "Assume Aria is a knave. No contradiction is found in their false claim that Aurora is not a knave.", "Aurora cannot be a knight, because this would contradict the false claim of Aria that Aurora is not a knave.", "Assume Aurora is a knave. No contradiction is found in their false claim that Amelia is a knight and Henry is a knight.", "Amelia cannot be a knight, because this would contradict the claim of their own that Aurora is a knave and Aria is a knight.", "Assume Amelia is a knave. No contradiction is found in their false claim that Aurora is a knave and Aria is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that If Aurora is a knight then Sophia is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that If Penelope is a knight then Penelope is a knave.", "Penelope cannot be a knight, because this would contradict the claim of Sophia that If Penelope is a knight then Penelope is a knave.", "Penelope cannot be a knave, because this would contradict the false claim of their own that Aria is a knave.", "We have exhausted all possibilities for Penelope, so let us go back and reconsider Sophia.", "Assume Sophia is a knave. No contradiction is found in their false claim that If Penelope is a knight then Penelope is a knave.", "Assume Penelope is a knight. No contradiction is found in their claim that Aria is a knave.", "Assume Emily is a knight. No contradiction is found in their claim that Aria is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 3)), ('lying', 0), ('not', ('telling-truth', 0)), ('and', ('telling-truth', 4), ('telling-truth', 5)), ('and', ('lying', 3), ('telling-truth', 0)), ('->', ('telling-truth', 3), ('telling-truth', 6)), ('->', ('telling-truth', 1), ('lying', 1)))", "index": 665}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Abigail, Oliver, Sophia, William, Grace, Jack, and Sebastian. Abigail asserted: \"Jack is a knight or Oliver is a knight\". Oliver stated, \"Sebastian is a knight and Sophia is a knight\". Sophia noted, \"William is a knave and Jack is a knave\". As William put it, \"If Sebastian is a knave then Oliver is a knight\". \"Sebastian is a knave\" - Grace. Jack commented, \"Grace is a knave and William is a knave\". Sebastian remarked, \"Abigail is a knave\". So who is a knight and who is a knave?", "names": ["Abigail", "Oliver", "Sophia", "William", "Grace", "Jack", "Sebastian"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true, false, false, true], "solution_text": "Abigail is a knave, Oliver is a knave, Sophia is a knave, William is a knight, Grace is a knave, Jack is a knave, and Sebastian is a knight.", "solution_text_format": "(1) Abigail is a knave\n(2) Oliver is a knave\n(3) Sophia is a knave\n(4) William is a knight\n(5) Grace is a knave\n(6) Jack is a knave\n(7) Sebastian is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Abigail is a knight. No contradiction is found in their claim that Jack is a knight or Oliver is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that Grace is a knave and William is a knave.", "Grace cannot be a knight, because this would contradict the claim of Jack that Grace is a knave and William is a knave.", "Assume Grace is a knave. No contradiction is found in their false claim that Sebastian is a knave.", "Sebastian cannot be a knight, because this would contradict the claim of their own that Abigail is a knave.", "Sebastian cannot be a knave, because this would contradict the false claim of Grace that Sebastian is a knave.", "We have exhausted all possibilities for Sebastian and Grace, so let us go back and reconsider Jack.", "Assume Jack is a knave. No contradiction is found in their false claim that Grace is a knave and William is a knave.", "Assume Grace is a knight. No contradiction is found in their claim that Sebastian is a knave.", "Sebastian cannot be a knight, because this would contradict the claim of Grace that Sebastian is a knave.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Abigail is a knave.", "Assume William is a knight. No contradiction is found in their claim that If Sebastian is a knave then Oliver is a knight.", "Oliver cannot be a knight, because this would contradict the claim of their own that Sebastian is a knight and Sophia is a knight.", "Oliver cannot be a knave, because this would contradict the claim of Abigail that Jack is a knight or Oliver is a knight.", "We have exhausted all possibilities for Oliver, so let us go back and reconsider William.", "Assume William is a knave. No contradiction is found in their false claim that If Sebastian is a knave then Oliver is a knight.", "Oliver cannot be a knight, because this would contradict the claim of their own that Sebastian is a knight and Sophia is a knight.", "Oliver cannot be a knave, because this would contradict the claim of Abigail that Jack is a knight or Oliver is a knight.", "We have exhausted all possibilities for Oliver, William, and Sebastian, so let us go back and reconsider Grace.", "Assume Grace is a knave. No contradiction is found in their false claim that Sebastian is a knave.", "Sebastian cannot be a knight, because this would contradict the claim of their own that Abigail is a knave.", "Sebastian cannot be a knave, because this would contradict the false claim of Grace that Sebastian is a knave.", "We have exhausted all possibilities for Sebastian, Grace, and Jack, so let us go back and reconsider Abigail.", "Assume Abigail is a knave. No contradiction is found in their false claim that Jack is a knight or Oliver is a knight.", "Jack cannot be a knight, because this would contradict the false claim of Abigail that Jack is a knight or Oliver is a knight.", "Assume Jack is a knave. No contradiction is found in their false claim that Grace is a knave and William is a knave.", "Assume Grace is a knight. No contradiction is found in their claim that Sebastian is a knave.", "Sebastian cannot be a knight, because this would contradict the claim of Grace that Sebastian is a knave.", "Sebastian cannot be a knave, because this would contradict the false claim of their own that Abigail is a knave.", "We have exhausted all possibilities for Sebastian, so let us go back and reconsider Grace.", "Assume Grace is a knave. No contradiction is found in their false claim that Sebastian is a knave.", "Assume Sebastian is a knight. No contradiction is found in their claim that Abigail is a knave.", "Assume William is a knight. No contradiction is found in their claim that If Sebastian is a knave then Oliver is a knight.", "Oliver cannot be a knight, because this would contradict the false claim of Abigail that Jack is a knight or Oliver is a knight.", "Assume Oliver is a knave. No contradiction is found in their false claim that Sebastian is a knight and Sophia is a knight.", "Sophia cannot be a knight, because this would contradict the false claim of Oliver that Sebastian is a knight and Sophia is a knight.", "Assume Sophia is a knave. No contradiction is found in their false claim that William is a knave and Jack is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 5), ('telling-truth', 1)), ('and', ('telling-truth', 6), ('telling-truth', 2)), ('and', ('lying', 3), ('lying', 5)), ('->', ('lying', 6), ('telling-truth', 1)), ('lying', 6), ('and', ('lying', 4), ('lying', 3)), ('lying', 0))", "index": 666}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Luke, Isabella, Elizabeth, Mason, Ethan, Scarlett, and Aurora. Luke noted, \"Scarlett is a knave and Ethan is a knight\". Isabella said that If Aurora is a knight then Mason is a knave. Elizabeth was heard saying, \"Ethan is a knight\". Mason asserted: \"Isabella is a knave and Aurora is a knave\". Ethan commented, \"If Aurora is a knight then Mason is a knave\". Scarlett said that If Aurora is a knave then Ethan is a knave. According to Aurora, \"Mason is a knave or Isabella is a knight\". So who is a knight and who is a knave?", "names": ["Luke", "Isabella", "Elizabeth", "Mason", "Ethan", "Scarlett", "Aurora"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false, true, true, true], "solution_text": "Luke is a knave, Isabella is a knight, Elizabeth is a knight, Mason is a knave, Ethan is a knight, Scarlett is a knight, and Aurora is a knight.", "solution_text_format": "(1) Luke is a knave\n(2) Isabella is a knight\n(3) Elizabeth is a knight\n(4) Mason is a knave\n(5) Ethan is a knight\n(6) Scarlett is a knight\n(7) Aurora is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Luke is a knight. No contradiction is found in their claim that Scarlett is a knave and Ethan is a knight.", "Scarlett cannot be a knight, because this would contradict the claim of Luke that Scarlett is a knave and Ethan is a knight.", "Assume Scarlett is a knave. No contradiction is found in their false claim that If Aurora is a knave then Ethan is a knave.", "Aurora cannot be a knight, because this would contradict the false claim of Scarlett that If Aurora is a knave then Ethan is a knave.", "Assume Aurora is a knave. No contradiction is found in their false claim that Mason is a knave or Isabella is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that Isabella is a knave and Aurora is a knave.", "Isabella cannot be a knight, because this would contradict the claim of Mason that Isabella is a knave and Aurora is a knave.", "Isabella cannot be a knave, because this would contradict the false claim of their own that If Aurora is a knight then Mason is a knave.", "We have exhausted all possibilities for Isabella, so let us go back and reconsider Mason.", "Mason cannot be a knave, because this would contradict the false claim of Aurora that Mason is a knave or Isabella is a knight.", "We have exhausted all possibilities for Mason, Aurora, and Scarlett, so let us go back and reconsider Luke.", "Assume Luke is a knave. No contradiction is found in their false claim that Scarlett is a knave and Ethan is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that If Aurora is a knave then Ethan is a knave.", "Assume Aurora is a knight. No contradiction is found in their claim that Mason is a knave or Isabella is a knight.", "Mason cannot be a knight, because this would contradict the claim of their own that Isabella is a knave and Aurora is a knave.", "Assume Mason is a knave. No contradiction is found in their false claim that Isabella is a knave and Aurora is a knave.", "Assume Isabella is a knight. No contradiction is found in their claim that If Aurora is a knight then Mason is a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that If Aurora is a knight then Mason is a knave.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Ethan is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 5), ('telling-truth', 4)), ('->', ('telling-truth', 6), ('lying', 3)), ('telling-truth', 4), ('and', ('lying', 1), ('lying', 6)), ('->', ('telling-truth', 6), ('lying', 3)), ('->', ('lying', 6), ('lying', 4)), ('or', ('lying', 3), ('telling-truth', 1)))", "index": 667}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Sofia, Chloe, Lucas, Amelia, Victoria, Emily, and Aurora. \"Chloe is a knight or Emily is a knave\" - Sofia. As Chloe put it, \"If Aurora is a knave then Amelia is a knave\". Lucas was heard saying, \"If Chloe is a knight then Chloe is a knave\". In Amelia's words: \"If Sofia is a knight then Victoria is a knave\". Victoria asserted: \"If Chloe is a knight then Sofia is a knight\". Emily expressed that Lucas is a knight if and only if Amelia is a knave. Aurora told you that If Sofia is a knight then Emily is a knight. So who is a knight and who is a knave?", "names": ["Sofia", "Chloe", "Lucas", "Amelia", "Victoria", "Emily", "Aurora"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false, true, false, false], "solution_text": "Sofia is a knight, Chloe is a knight, Lucas is a knave, Amelia is a knave, Victoria is a knight, Emily is a knave, and Aurora is a knave.", "solution_text_format": "(1) Sofia is a knight\n(2) Chloe is a knight\n(3) Lucas is a knave\n(4) Amelia is a knave\n(5) Victoria is a knight\n(6) Emily is a knave\n(7) Aurora is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sofia is a knight. No contradiction is found in their claim that Chloe is a knight or Emily is a knave.", "Assume Chloe is a knight. No contradiction is found in their claim that If Aurora is a knave then Amelia is a knave.", "Assume Aurora is a knight. No contradiction is found in their claim that If Sofia is a knight then Emily is a knight.", "Assume Emily is a knight. No contradiction is found in their claim that Lucas is a knight if and only if Amelia is a knave.", "Lucas cannot be a knight, because this would contradict the claim of their own that If Chloe is a knight then Chloe is a knave.", "Assume Lucas is a knave. No contradiction is found in their false claim that If Chloe is a knight then Chloe is a knave.", "Assume Amelia is a knight. No contradiction is found in their claim that If Sofia is a knight then Victoria is a knave.", "Victoria cannot be a knight, because this would contradict the claim of Amelia that If Sofia is a knight then Victoria is a knave.", "Victoria cannot be a knave, because this would contradict the false claim of their own that If Chloe is a knight then Sofia is a knight.", "We have exhausted all possibilities for Victoria, so let us go back and reconsider Amelia.", "Amelia cannot be a knave, because this would contradict the claim of Emily that Lucas is a knight if and only if Amelia is a knave.", "We have exhausted all possibilities for Amelia and Lucas, so let us go back and reconsider Emily.", "Emily cannot be a knave, because this would contradict the claim of Aurora that If Sofia is a knight then Emily is a knight.", "We have exhausted all possibilities for Emily, so let us go back and reconsider Aurora.", "Assume Aurora is a knave. No contradiction is found in their false claim that If Sofia is a knight then Emily is a knight.", "Emily cannot be a knight, because this would contradict the false claim of Aurora that If Sofia is a knight then Emily is a knight.", "Assume Emily is a knave. No contradiction is found in their false claim that Lucas is a knight if and only if Amelia is a knave.", "Lucas cannot be a knight, because this would contradict the claim of their own that If Chloe is a knight then Chloe is a knave.", "Assume Lucas is a knave. No contradiction is found in their false claim that If Chloe is a knight then Chloe is a knave.", "Amelia cannot be a knight, because this would contradict the claim of Chloe that If Aurora is a knave then Amelia is a knave.", "Assume Amelia is a knave. No contradiction is found in their false claim that If Sofia is a knight then Victoria is a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that If Chloe is a knight then Sofia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 1), ('lying', 5)), ('->', ('lying', 6), ('lying', 3)), ('->', ('telling-truth', 1), ('lying', 1)), ('->', ('telling-truth', 0), ('lying', 4)), ('->', ('telling-truth', 1), ('telling-truth', 0)), ('<=>', ('telling-truth', 2), ('lying', 3)), ('->', ('telling-truth', 0), ('telling-truth', 5)))", "index": 668}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Mason, William, Aurora, Daniel, Samuel, Ethan, and Chloe. Mason remarked, \"Samuel is a knave\". In a statement by William: \"If Chloe is a knave then Ethan is a knave\". \"William is a knight and Ethan is a knave\" - Aurora. Daniel commented, \"If Mason is a knight then Samuel is a knave\". Samuel asserted: \"Chloe is a knave and Ethan is a knight\". \"Samuel is a knight,\" Ethan claimed. Chloe said, \"William is a knave if and only if Aurora is a knave.\" So who is a knight and who is a knave?", "names": ["Mason", "William", "Aurora", "Daniel", "Samuel", "Ethan", "Chloe"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, false, false, true], "solution_text": "Mason is a knight, William is a knight, Aurora is a knight, Daniel is a knight, Samuel is a knave, Ethan is a knave, and Chloe is a knight.", "solution_text_format": "(1) Mason is a knight\n(2) William is a knight\n(3) Aurora is a knight\n(4) Daniel is a knight\n(5) Samuel is a knave\n(6) Ethan is a knave\n(7) Chloe is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Mason is a knight. No contradiction is found in their claim that Samuel is a knave.", "Samuel cannot be a knight, because this would contradict the claim of Mason that Samuel is a knave.", "Assume Samuel is a knave. No contradiction is found in their false claim that Chloe is a knave and Ethan is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that William is a knave if and only if Aurora is a knave.", "Assume William is a knight. No contradiction is found in their claim that If Chloe is a knave then Ethan is a knave.", "Ethan cannot be a knight, because this would contradict the claim of their own that Samuel is a knight.", "Assume Ethan is a knave. No contradiction is found in their false claim that Samuel is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that William is a knight and Ethan is a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that If Mason is a knight then Samuel is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 4), ('->', ('lying', 6), ('lying', 5)), ('and', ('telling-truth', 1), ('lying', 5)), ('->', ('telling-truth', 0), ('lying', 4)), ('and', ('lying', 6), ('telling-truth', 5)), ('telling-truth', 4), ('<=>', ('lying', 1), ('lying', 2)))", "index": 669}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Daniel, Lucas, Sebastian, Emma, Jack, Liam, and James. Daniel expressed that Emma is a knight if and only if James is a knave. Lucas noted, \"If Lucas is a knight then Emma is a knave\". As Sebastian put it, \"Jack is a knave if and only if Lucas is a knight\". According to Emma, \"Sebastian is a knave\". Jack asserted: \"James is a knight\". Liam expressed that Lucas is not a knight. James expressed that Lucas is a knave and Daniel is a knight. So who is a knight and who is a knave?", "names": ["Daniel", "Lucas", "Sebastian", "Emma", "Jack", "Liam", "James"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false, false, false, false], "solution_text": "Daniel is a knave, Lucas is a knight, Sebastian is a knight, Emma is a knave, Jack is a knave, Liam is a knave, and James is a knave.", "solution_text_format": "(1) Daniel is a knave\n(2) Lucas is a knight\n(3) Sebastian is a knight\n(4) Emma is a knave\n(5) Jack is a knave\n(6) Liam is a knave\n(7) James is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Daniel is a knight. No contradiction is found in their claim that Emma is a knight if and only if James is a knave.", "Assume Emma is a knight. No contradiction is found in their claim that Sebastian is a knave.", "Sebastian cannot be a knight, because this would contradict the claim of Emma that Sebastian is a knave.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Jack is a knave if and only if Lucas is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that James is a knight.", "James cannot be a knight, because this would contradict the claim of Daniel that Emma is a knight if and only if James is a knave.", "James cannot be a knave, because this would contradict the claim of Jack that James is a knight.", "We have exhausted all possibilities for James, so let us go back and reconsider Jack.", "Assume Jack is a knave. No contradiction is found in their false claim that James is a knight.", "James cannot be a knight, because this would contradict the claim of Daniel that Emma is a knight if and only if James is a knave.", "Assume James is a knave. No contradiction is found in their false claim that Lucas is a knave and Daniel is a knight.", "Lucas cannot be a knight, because this would contradict the claim of their own that If Lucas is a knight then Emma is a knave.", "Lucas cannot be a knave, because this would contradict the false claim of their own that If Lucas is a knight then Emma is a knave.", "We have exhausted all possibilities for Lucas, James, Jack, and Sebastian, so let us go back and reconsider Emma.", "Assume Emma is a knave. No contradiction is found in their false claim that Sebastian is a knave.", "Assume Sebastian is a knight. No contradiction is found in their claim that Jack is a knave if and only if Lucas is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that James is a knight.", "Assume James is a knight. No contradiction is found in their claim that Lucas is a knave and Daniel is a knight.", "Lucas cannot be a knight, because this would contradict the claim of Sebastian that Jack is a knave if and only if Lucas is a knight.", "Lucas cannot be a knave, because this would contradict the false claim of their own that If Lucas is a knight then Emma is a knave.", "We have exhausted all possibilities for Lucas, so let us go back and reconsider James.", "James cannot be a knave, because this would contradict the claim of Daniel that Emma is a knight if and only if James is a knave.", "We have exhausted all possibilities for James, so let us go back and reconsider Jack.", "Assume Jack is a knave. No contradiction is found in their false claim that James is a knight.", "James cannot be a knight, because this would contradict the false claim of Jack that James is a knight.", "James cannot be a knave, because this would contradict the claim of Daniel that Emma is a knight if and only if James is a knave.", "We have exhausted all possibilities for James and Jack, so let us go back and reconsider Sebastian.", "Sebastian cannot be a knave, because this would contradict the false claim of Emma that Sebastian is a knave.", "We have exhausted all possibilities for Sebastian and Emma, so let us go back and reconsider Daniel.", "Assume Daniel is a knave. No contradiction is found in their false claim that Emma is a knight if and only if James is a knave.", "Assume Emma is a knight. No contradiction is found in their claim that Sebastian is a knave.", "Sebastian cannot be a knight, because this would contradict the claim of Emma that Sebastian is a knave.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Jack is a knave if and only if Lucas is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that James is a knight.", "James cannot be a knight, because this would contradict the claim of their own that Lucas is a knave and Daniel is a knight.", "James cannot be a knave, because this would contradict the false claim of Daniel that Emma is a knight if and only if James is a knave.", "We have exhausted all possibilities for James, so let us go back and reconsider Jack.", "Assume Jack is a knave. No contradiction is found in their false claim that James is a knight.", "James cannot be a knight, because this would contradict the false claim of Jack that James is a knight.", "James cannot be a knave, because this would contradict the false claim of Daniel that Emma is a knight if and only if James is a knave.", "We have exhausted all possibilities for James, Jack, and Sebastian, so let us go back and reconsider Emma.", "Assume Emma is a knave. No contradiction is found in their false claim that Sebastian is a knave.", "Assume Sebastian is a knight. No contradiction is found in their claim that Jack is a knave if and only if Lucas is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that James is a knight.", "James cannot be a knight, because this would contradict the false claim of Daniel that Emma is a knight if and only if James is a knave.", "James cannot be a knave, because this would contradict the claim of Jack that James is a knight.", "We have exhausted all possibilities for James, so let us go back and reconsider Jack.", "Assume Jack is a knave. No contradiction is found in their false claim that James is a knight.", "James cannot be a knight, because this would contradict the false claim of Daniel that Emma is a knight if and only if James is a knave.", "Assume James is a knave. No contradiction is found in their false claim that Lucas is a knave and Daniel is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that If Lucas is a knight then Emma is a knave.", "Liam cannot be a knight, because this would contradict the claim of their own that Lucas is not a knight.", "Assume Liam is a knave. No contradiction is found in their false claim that Lucas is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 3), ('lying', 6)), ('->', ('telling-truth', 1), ('lying', 3)), ('<=>', ('lying', 4), ('telling-truth', 1)), ('lying', 2), ('telling-truth', 6), ('not', ('telling-truth', 1)), ('and', ('lying', 1), ('telling-truth', 0)))", "index": 670}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Lucas, Ava, Avery, Ethan, Noah, Chloe, and Jackson. Lucas expressed that Noah is not a knave. Ava commented, \"Noah is not a knave\". In a statement by Avery: \"Lucas is a knight if and only if Lucas is a knave\". Ethan noted, \"Lucas is not a knave\". Noah said that If Avery is a knight then Chloe is a knave. Chloe noted, \"Noah is a knave and Avery is a knave\". \"Chloe is a knight or Ethan is a knight,\" Jackson claimed. So who is a knight and who is a knave?", "names": ["Lucas", "Ava", "Avery", "Ethan", "Noah", "Chloe", "Jackson"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true, true, false, true], "solution_text": "Lucas is a knight, Ava is a knight, Avery is a knave, Ethan is a knight, Noah is a knight, Chloe is a knave, and Jackson is a knight.", "solution_text_format": "(1) Lucas is a knight\n(2) Ava is a knight\n(3) Avery is a knave\n(4) Ethan is a knight\n(5) Noah is a knight\n(6) Chloe is a knave\n(7) Jackson is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Lucas is a knight. No contradiction is found in their claim that Noah is not a knave.", "Assume Noah is a knight. No contradiction is found in their claim that If Avery is a knight then Chloe is a knave.", "Avery cannot be a knight, because this would contradict the claim of their own that Lucas is a knight if and only if Lucas is a knave.", "Assume Avery is a knave. No contradiction is found in their false claim that Lucas is a knight if and only if Lucas is a knave.", "Chloe cannot be a knight, because this would contradict the claim of their own that Noah is a knave and Avery is a knave.", "Assume Chloe is a knave. No contradiction is found in their false claim that Noah is a knave and Avery is a knave.", "Assume Ava is a knight. No contradiction is found in their claim that Noah is not a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that Lucas is not a knave.", "Assume Jackson is a knight. No contradiction is found in their claim that Chloe is a knight or Ethan is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 4)), ('not', ('lying', 4)), ('<=>', ('telling-truth', 0), ('lying', 0)), ('not', ('lying', 0)), ('->', ('telling-truth', 2), ('lying', 5)), ('and', ('lying', 4), ('lying', 2)), ('or', ('telling-truth', 5), ('telling-truth', 3)))", "index": 671}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Mason, Noah, Amelia, Alexander, Riley, Emily, and Zoey. As Mason put it, \"Mason is a knight and Alexander is a knight\". Noah asserted: \"Riley is a knave if and only if Noah is a knight\". Amelia stated, \"Noah is a knave if and only if Alexander is a knight\". In Alexander's words: \"If Zoey is a knight then Mason is a knight\". Riley commented, \"Mason is a knave or Amelia is a knave\". Emily remarked, \"Alexander is a knave and Noah is a knight\". As Zoey put it, \"If Alexander is a knight then Emily is a knave\". So who is a knight and who is a knave?", "names": ["Mason", "Noah", "Amelia", "Alexander", "Riley", "Emily", "Zoey"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, false, false, true], "solution_text": "Mason is a knight, Noah is a knave, Amelia is a knight, Alexander is a knight, Riley is a knave, Emily is a knave, and Zoey is a knight.", "solution_text_format": "(1) Mason is a knight\n(2) Noah is a knave\n(3) Amelia is a knight\n(4) Alexander is a knight\n(5) Riley is a knave\n(6) Emily is a knave\n(7) Zoey is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Mason is a knight. No contradiction is found in their claim that Mason is a knight and Alexander is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that If Zoey is a knight then Mason is a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that If Alexander is a knight then Emily is a knave.", "Emily cannot be a knight, because this would contradict the claim of their own that Alexander is a knave and Noah is a knight.", "Assume Emily is a knave. No contradiction is found in their false claim that Alexander is a knave and Noah is a knight.", "Assume Noah is a knight. No contradiction is found in their claim that Riley is a knave if and only if Noah is a knight.", "Riley cannot be a knight, because this would contradict the claim of Noah that Riley is a knave if and only if Noah is a knight.", "Assume Riley is a knave. No contradiction is found in their false claim that Mason is a knave or Amelia is a knave.", "Amelia cannot be a knight, because this would contradict the claim of their own that Noah is a knave if and only if Alexander is a knight.", "Amelia cannot be a knave, because this would contradict the false claim of Riley that Mason is a knave or Amelia is a knave.", "We have exhausted all possibilities for Amelia and Riley, so let us go back and reconsider Noah.", "Assume Noah is a knave. No contradiction is found in their false claim that Riley is a knave if and only if Noah is a knight.", "Riley cannot be a knight, because this would contradict the false claim of Noah that Riley is a knave if and only if Noah is a knight.", "Assume Riley is a knave. No contradiction is found in their false claim that Mason is a knave or Amelia is a knave.", "Assume Amelia is a knight. No contradiction is found in their claim that Noah is a knave if and only if Alexander is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 0), ('telling-truth', 3)), ('<=>', ('lying', 4), ('telling-truth', 1)), ('<=>', ('lying', 1), ('telling-truth', 3)), ('->', ('telling-truth', 6), ('telling-truth', 0)), ('or', ('lying', 0), ('lying', 2)), ('and', ('lying', 3), ('telling-truth', 1)), ('->', ('telling-truth', 3), ('lying', 5)))", "index": 672}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Mason, Noah, Victoria, Liam, David, Scarlett, and Aiden. Mason told you that Aiden is a knave or Liam is a knave. Noah stated, \"David is a knight or Scarlett is a knave\". \"Liam is a knight and Liam is a knave,\" Victoria mentioned. Liam said that If Noah is a knight then Aiden is a knight. David was heard saying, \"Liam is a knave and Liam is a knight\". \"Liam is a knight and David is a knave,\" Scarlett claimed. Aiden remarked, \"If Victoria is a knight then Liam is a knight\". So who is a knight and who is a knave?", "names": ["Mason", "Noah", "Victoria", "Liam", "David", "Scarlett", "Aiden"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true, false, true, true], "solution_text": "Mason is a knave, Noah is a knave, Victoria is a knave, Liam is a knight, David is a knave, Scarlett is a knight, and Aiden is a knight.", "solution_text_format": "(1) Mason is a knave\n(2) Noah is a knave\n(3) Victoria is a knave\n(4) Liam is a knight\n(5) David is a knave\n(6) Scarlett is a knight\n(7) Aiden is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Mason is a knight. No contradiction is found in their claim that Aiden is a knave or Liam is a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that If Victoria is a knight then Liam is a knight.", "Victoria cannot be a knight, because this would contradict the claim of their own that Liam is a knight and Liam is a knave.", "Assume Victoria is a knave. No contradiction is found in their false claim that Liam is a knight and Liam is a knave.", "Liam cannot be a knight, because this would contradict the claim of Mason that Aiden is a knave or Liam is a knave.", "Liam cannot be a knave, because this would contradict the false claim of their own that If Noah is a knight then Aiden is a knight.", "We have exhausted all possibilities for Liam and Victoria, so let us go back and reconsider Aiden.", "Assume Aiden is a knave. No contradiction is found in their false claim that If Victoria is a knight then Liam is a knight.", "Victoria cannot be a knight, because this would contradict the claim of their own that Liam is a knight and Liam is a knave.", "Victoria cannot be a knave, because this would contradict the false claim of Aiden that If Victoria is a knight then Liam is a knight.", "We have exhausted all possibilities for Victoria and Aiden, so let us go back and reconsider Mason.", "Assume Mason is a knave. No contradiction is found in their false claim that Aiden is a knave or Liam is a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that If Victoria is a knight then Liam is a knight.", "Victoria cannot be a knight, because this would contradict the claim of their own that Liam is a knight and Liam is a knave.", "Assume Victoria is a knave. No contradiction is found in their false claim that Liam is a knight and Liam is a knave.", "Assume Liam is a knight. No contradiction is found in their claim that If Noah is a knight then Aiden is a knight.", "Assume Noah is a knight. No contradiction is found in their claim that David is a knight or Scarlett is a knave.", "David cannot be a knight, because this would contradict the claim of their own that Liam is a knave and Liam is a knight.", "Assume David is a knave. No contradiction is found in their false claim that Liam is a knave and Liam is a knight.", "Scarlett cannot be a knight, because this would contradict the claim of Noah that David is a knight or Scarlett is a knave.", "Scarlett cannot be a knave, because this would contradict the false claim of their own that Liam is a knight and David is a knave.", "We have exhausted all possibilities for Scarlett and David, so let us go back and reconsider Noah.", "Assume Noah is a knave. No contradiction is found in their false claim that David is a knight or Scarlett is a knave.", "David cannot be a knight, because this would contradict the false claim of Noah that David is a knight or Scarlett is a knave.", "Assume David is a knave. No contradiction is found in their false claim that Liam is a knave and Liam is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that Liam is a knight and David is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 6), ('lying', 3)), ('or', ('telling-truth', 4), ('lying', 5)), ('and', ('telling-truth', 3), ('lying', 3)), ('->', ('telling-truth', 1), ('telling-truth', 6)), ('and', ('lying', 3), ('telling-truth', 3)), ('and', ('telling-truth', 3), ('lying', 4)), ('->', ('telling-truth', 2), ('telling-truth', 3)))", "index": 673}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Noah, Jack, Jacob, Charlotte, Aiden, Penelope, and Olivia. Noah said, \"Aiden is a knight or Charlotte is a knave.\" Jack commented, \"Jacob is a knight\". As Jacob put it, \"Noah is a knight if and only if Aiden is a knight\". According to Charlotte, \"If Penelope is a knight then Aiden is a knave\". Aiden asserted: \"Olivia is a knight and Olivia is a knave\". Penelope said that If Olivia is a knave then Noah is a knave. Olivia expressed that Aiden is not a knight. So who is a knight and who is a knave?", "names": ["Noah", "Jack", "Jacob", "Charlotte", "Aiden", "Penelope", "Olivia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, false, true, true], "solution_text": "Noah is a knave, Jack is a knight, Jacob is a knight, Charlotte is a knight, Aiden is a knave, Penelope is a knight, and Olivia is a knight.", "solution_text_format": "(1) Noah is a knave\n(2) Jack is a knight\n(3) Jacob is a knight\n(4) Charlotte is a knight\n(5) Aiden is a knave\n(6) Penelope is a knight\n(7) Olivia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Noah is a knight. No contradiction is found in their claim that Aiden is a knight or Charlotte is a knave.", "Aiden cannot be a knight, because this would contradict the claim of their own that Olivia is a knight and Olivia is a knave.", "Assume Aiden is a knave. No contradiction is found in their false claim that Olivia is a knight and Olivia is a knave.", "Assume Olivia is a knight. No contradiction is found in their claim that Aiden is not a knight.", "Charlotte cannot be a knight, because this would contradict the claim of Noah that Aiden is a knight or Charlotte is a knave.", "Charlotte cannot be a knave, because this would contradict the false claim of their own that If Penelope is a knight then Aiden is a knave.", "We have exhausted all possibilities for Charlotte, so let us go back and reconsider Olivia.", "Olivia cannot be a knave, because this would contradict the false claim of their own that Aiden is not a knight.", "We have exhausted all possibilities for Olivia and Aiden, so let us go back and reconsider Noah.", "Assume Noah is a knave. No contradiction is found in their false claim that Aiden is a knight or Charlotte is a knave.", "Aiden cannot be a knight, because this would contradict the false claim of Noah that Aiden is a knight or Charlotte is a knave.", "Assume Aiden is a knave. No contradiction is found in their false claim that Olivia is a knight and Olivia is a knave.", "Assume Olivia is a knight. No contradiction is found in their claim that Aiden is not a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that If Penelope is a knight then Aiden is a knave.", "Assume Penelope is a knight. No contradiction is found in their claim that If Olivia is a knave then Noah is a knave.", "Assume Jack is a knight. No contradiction is found in their claim that Jacob is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that Noah is a knight if and only if Aiden is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 4), ('lying', 3)), ('telling-truth', 2), ('<=>', ('telling-truth', 0), ('telling-truth', 4)), ('->', ('telling-truth', 5), ('lying', 4)), ('and', ('telling-truth', 6), ('lying', 6)), ('->', ('lying', 6), ('lying', 0)), ('not', ('telling-truth', 4)))", "index": 674}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Henry, Aurora, Abigail, Chloe, Amelia, Emily, and Zoey. In a statement by Henry: \"Chloe is a knight if and only if Emily is a knave\". Aurora told you that Abigail is a knave or Chloe is a knight. As Abigail put it, \"Henry is a knave and Zoey is a knave\". Chloe noted, \"If Aurora is a knave then Henry is a knight\". Amelia noted, \"If Aurora is a knave then Henry is a knave\". Emily asserted: \"Chloe is a knight if and only if Amelia is a knave\". As Zoey put it, \"If Abigail is a knight then Aurora is a knight\". So who is a knight and who is a knave?", "names": ["Henry", "Aurora", "Abigail", "Chloe", "Amelia", "Emily", "Zoey"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true, true, false, true], "solution_text": "Henry is a knight, Aurora is a knight, Abigail is a knave, Chloe is a knight, Amelia is a knight, Emily is a knave, and Zoey is a knight.", "solution_text_format": "(1) Henry is a knight\n(2) Aurora is a knight\n(3) Abigail is a knave\n(4) Chloe is a knight\n(5) Amelia is a knight\n(6) Emily is a knave\n(7) Zoey is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Henry is a knight. No contradiction is found in their claim that Chloe is a knight if and only if Emily is a knave.", "Assume Chloe is a knight. No contradiction is found in their claim that If Aurora is a knave then Henry is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that Abigail is a knave or Chloe is a knight.", "Abigail cannot be a knight, because this would contradict the claim of their own that Henry is a knave and Zoey is a knave.", "Assume Abigail is a knave. No contradiction is found in their false claim that Henry is a knave and Zoey is a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that If Abigail is a knight then Aurora is a knight.", "Emily cannot be a knight, because this would contradict the claim of Henry that Chloe is a knight if and only if Emily is a knave.", "Assume Emily is a knave. No contradiction is found in their false claim that Chloe is a knight if and only if Amelia is a knave.", "Assume Amelia is a knight. No contradiction is found in their claim that If Aurora is a knave then Henry is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 3), ('lying', 5)), ('or', ('lying', 2), ('telling-truth', 3)), ('and', ('lying', 0), ('lying', 6)), ('->', ('lying', 1), ('telling-truth', 0)), ('->', ('lying', 1), ('lying', 0)), ('<=>', ('telling-truth', 3), ('lying', 4)), ('->', ('telling-truth', 2), ('telling-truth', 1)))", "index": 675}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Matthew, Henry, James, Emily, Victoria, Chloe, and Zoey. Matthew commented, \"If Chloe is a knave then Henry is a knight\". Henry expressed that Emily is a knave. James told you that Matthew is a knave or Zoey is a knave. Emily remarked, \"Zoey is a knight or Matthew is a knave\". Victoria remarked, \"Emily is not a knave\". Chloe said, \"Henry is a knave.\" In a statement by Zoey: \"If Matthew is a knave then Victoria is a knave\". So who is a knight and who is a knave?", "names": ["Matthew", "Henry", "James", "Emily", "Victoria", "Chloe", "Zoey"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, true, true, true], "solution_text": "Matthew is a knight, Henry is a knave, James is a knave, Emily is a knight, Victoria is a knight, Chloe is a knight, and Zoey is a knight.", "solution_text_format": "(1) Matthew is a knight\n(2) Henry is a knave\n(3) James is a knave\n(4) Emily is a knight\n(5) Victoria is a knight\n(6) Chloe is a knight\n(7) Zoey is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Matthew is a knight. No contradiction is found in their claim that If Chloe is a knave then Henry is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that Henry is a knave.", "Henry cannot be a knight, because this would contradict the claim of Chloe that Henry is a knave.", "Assume Henry is a knave. No contradiction is found in their false claim that Emily is a knave.", "Assume Emily is a knight. No contradiction is found in their claim that Zoey is a knight or Matthew is a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that If Matthew is a knave then Victoria is a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that Emily is not a knave.", "James cannot be a knight, because this would contradict the claim of their own that Matthew is a knave or Zoey is a knave.", "Assume James is a knave. No contradiction is found in their false claim that Matthew is a knave or Zoey is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 5), ('telling-truth', 1)), ('lying', 3), ('or', ('lying', 0), ('lying', 6)), ('or', ('telling-truth', 6), ('lying', 0)), ('not', ('lying', 3)), ('lying', 1), ('->', ('lying', 0), ('lying', 4)))", "index": 676}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Isabella, Elizabeth, Sophia, Noah, Mia, Grace, and Harper. \"If Elizabeth is a knight then Grace is a knave,\" Isabella claimed. In Elizabeth's words: \"Isabella is a knave and Elizabeth is a knight\". Sophia said, \"Isabella is not a knight.\" Noah noted, \"Harper is a knight\". In a statement by Mia: \"Harper is not a knight\". Grace asserted: \"Isabella is a knight\". In a statement by Harper: \"If Sophia is a knight then Elizabeth is a knave\". So who is a knight and who is a knave?", "names": ["Isabella", "Elizabeth", "Sophia", "Noah", "Mia", "Grace", "Harper"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, false, true, true], "solution_text": "Isabella is a knight, Elizabeth is a knave, Sophia is a knave, Noah is a knight, Mia is a knave, Grace is a knight, and Harper is a knight.", "solution_text_format": "(1) Isabella is a knight\n(2) Elizabeth is a knave\n(3) Sophia is a knave\n(4) Noah is a knight\n(5) Mia is a knave\n(6) Grace is a knight\n(7) Harper is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Isabella is a knight. No contradiction is found in their claim that If Elizabeth is a knight then Grace is a knave.", "Elizabeth cannot be a knight, because this would contradict the claim of their own that Isabella is a knave and Elizabeth is a knight.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Isabella is a knave and Elizabeth is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that Isabella is a knight.", "Sophia cannot be a knight, because this would contradict the claim of their own that Isabella is not a knight.", "Assume Sophia is a knave. No contradiction is found in their false claim that Isabella is not a knight.", "Assume Noah is a knight. No contradiction is found in their claim that Harper is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that If Sophia is a knight then Elizabeth is a knave.", "Mia cannot be a knight, because this would contradict the claim of their own that Harper is not a knight.", "Assume Mia is a knave. No contradiction is found in their false claim that Harper is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 1), ('lying', 5)), ('and', ('lying', 0), ('telling-truth', 1)), ('not', ('telling-truth', 0)), ('telling-truth', 6), ('not', ('telling-truth', 6)), ('telling-truth', 0), ('->', ('telling-truth', 2), ('lying', 1)))", "index": 677}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Jackson, Owen, Aurora, Joseph, James, Riley, and Emma. In Jackson's words: \"James is not a knave\". In a statement by Owen: \"Riley is a knight if and only if Owen is a knight\". Aurora told you that Joseph is a knave and Joseph is a knight. Joseph told you that Aurora is a knight or Emma is a knight. In James's words: \"Aurora is a knight and Emma is a knave\". As Riley put it, \"Emma is a knave if and only if Riley is a knight\". Emma commented, \"Riley is a knave or Owen is a knave\". So who is a knight and who is a knave?", "names": ["Jackson", "Owen", "Aurora", "Joseph", "James", "Riley", "Emma"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false, false, true, false], "solution_text": "Jackson is a knave, Owen is a knight, Aurora is a knave, Joseph is a knave, James is a knave, Riley is a knight, and Emma is a knave.", "solution_text_format": "(1) Jackson is a knave\n(2) Owen is a knight\n(3) Aurora is a knave\n(4) Joseph is a knave\n(5) James is a knave\n(6) Riley is a knight\n(7) Emma is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jackson is a knight. No contradiction is found in their claim that James is not a knave.", "Assume James is a knight. No contradiction is found in their claim that Aurora is a knight and Emma is a knave.", "Aurora cannot be a knight, because this would contradict the claim of their own that Joseph is a knave and Joseph is a knight.", "Aurora cannot be a knave, because this would contradict the claim of James that Aurora is a knight and Emma is a knave.", "We have exhausted all possibilities for Aurora, so let us go back and reconsider James.", "James cannot be a knave, because this would contradict the claim of Jackson that James is not a knave.", "We have exhausted all possibilities for James, so let us go back and reconsider Jackson.", "Assume Jackson is a knave. No contradiction is found in their false claim that James is not a knave.", "James cannot be a knight, because this would contradict the false claim of Jackson that James is not a knave.", "Assume James is a knave. No contradiction is found in their false claim that Aurora is a knight and Emma is a knave.", "Aurora cannot be a knight, because this would contradict the claim of their own that Joseph is a knave and Joseph is a knight.", "Assume Aurora is a knave. No contradiction is found in their false claim that Joseph is a knave and Joseph is a knight.", "Assume Joseph is a knight. No contradiction is found in their claim that Aurora is a knight or Emma is a knight.", "Assume Emma is a knight. No contradiction is found in their claim that Riley is a knave or Owen is a knave.", "Riley cannot be a knight, because this would contradict the claim of their own that Emma is a knave if and only if Riley is a knight.", "Riley cannot be a knave, because this would contradict the false claim of their own that Emma is a knave if and only if Riley is a knight.", "We have exhausted all possibilities for Riley, so let us go back and reconsider Emma.", "Emma cannot be a knave, because this would contradict the claim of Joseph that Aurora is a knight or Emma is a knight.", "We have exhausted all possibilities for Emma, so let us go back and reconsider Joseph.", "Assume Joseph is a knave. No contradiction is found in their false claim that Aurora is a knight or Emma is a knight.", "Emma cannot be a knight, because this would contradict the false claim of Joseph that Aurora is a knight or Emma is a knight.", "Assume Emma is a knave. No contradiction is found in their false claim that Riley is a knave or Owen is a knave.", "Assume Riley is a knight. No contradiction is found in their claim that Emma is a knave if and only if Riley is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that Riley is a knight if and only if Owen is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 4)), ('<=>', ('telling-truth', 5), ('telling-truth', 1)), ('and', ('lying', 3), ('telling-truth', 3)), ('or', ('telling-truth', 2), ('telling-truth', 6)), ('and', ('telling-truth', 2), ('lying', 6)), ('<=>', ('lying', 6), ('telling-truth', 5)), ('or', ('lying', 5), ('lying', 1)))", "index": 678}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Elizabeth, Owen, Logan, William, Matthew, Charlotte, and Noah. Elizabeth was heard saying, \"William is a knave or Matthew is a knave\". In a statement by Owen: \"William is a knight and Logan is a knight\". According to Logan, \"Charlotte is a knave\". \"Elizabeth is a knight,\" William claimed. \"If Charlotte is a knave then Elizabeth is a knave,\" Matthew claimed. As Charlotte put it, \"If William is a knight then Charlotte is a knight\". Noah asserted: \"Logan is a knave and Elizabeth is a knave\". So who is a knight and who is a knave?", "names": ["Elizabeth", "Owen", "Logan", "William", "Matthew", "Charlotte", "Noah"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, false, false, false], "solution_text": "Elizabeth is a knight, Owen is a knight, Logan is a knight, William is a knight, Matthew is a knave, Charlotte is a knave, and Noah is a knave.", "solution_text_format": "(1) Elizabeth is a knight\n(2) Owen is a knight\n(3) Logan is a knight\n(4) William is a knight\n(5) Matthew is a knave\n(6) Charlotte is a knave\n(7) Noah is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Elizabeth is a knight. No contradiction is found in their claim that William is a knave or Matthew is a knave.", "Assume William is a knight. No contradiction is found in their claim that Elizabeth is a knight.", "Matthew cannot be a knight, because this would contradict the claim of Elizabeth that William is a knave or Matthew is a knave.", "Assume Matthew is a knave. No contradiction is found in their false claim that If Charlotte is a knave then Elizabeth is a knave.", "Charlotte cannot be a knight, because this would contradict the false claim of Matthew that If Charlotte is a knave then Elizabeth is a knave.", "Assume Charlotte is a knave. No contradiction is found in their false claim that If William is a knight then Charlotte is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that William is a knight and Logan is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that Charlotte is a knave.", "Noah cannot be a knight, because this would contradict the claim of their own that Logan is a knave and Elizabeth is a knave.", "Assume Noah is a knave. No contradiction is found in their false claim that Logan is a knave and Elizabeth is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 3), ('lying', 4)), ('and', ('telling-truth', 3), ('telling-truth', 2)), ('lying', 5), ('telling-truth', 0), ('->', ('lying', 5), ('lying', 0)), ('->', ('telling-truth', 3), ('telling-truth', 5)), ('and', ('lying', 2), ('lying', 0)))", "index": 679}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Aurora, Noah, James, Avery, Luke, Aiden, and Chloe. Aurora was heard saying, \"Aiden is a knave and Noah is a knave\". Noah noted, \"Luke is a knave\". James was heard saying, \"If Aurora is a knight then Chloe is a knight\". Avery commented, \"If Aurora is a knight then Noah is a knight\". \"Chloe is a knight and Aurora is a knight,\" Luke declared. Aiden said, \"If Avery is a knight then James is a knight.\" As Chloe put it, \"Aiden is a knight if and only if Noah is a knight\". So who is a knight and who is a knave?", "names": ["Aurora", "Noah", "James", "Avery", "Luke", "Aiden", "Chloe"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, false, true, true], "solution_text": "Aurora is a knave, Noah is a knight, James is a knight, Avery is a knight, Luke is a knave, Aiden is a knight, and Chloe is a knight.", "solution_text_format": "(1) Aurora is a knave\n(2) Noah is a knight\n(3) James is a knight\n(4) Avery is a knight\n(5) Luke is a knave\n(6) Aiden is a knight\n(7) Chloe is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aurora is a knight. No contradiction is found in their claim that Aiden is a knave and Noah is a knave.", "Aiden cannot be a knight, because this would contradict the claim of Aurora that Aiden is a knave and Noah is a knave.", "Assume Aiden is a knave. No contradiction is found in their false claim that If Avery is a knight then James is a knight.", "Assume Avery is a knight. No contradiction is found in their claim that If Aurora is a knight then Noah is a knight.", "Noah cannot be a knight, because this would contradict the claim of Aurora that Aiden is a knave and Noah is a knave.", "Noah cannot be a knave, because this would contradict the claim of Avery that If Aurora is a knight then Noah is a knight.", "We have exhausted all possibilities for Noah, so let us go back and reconsider Avery.", "Avery cannot be a knave, because this would contradict the false claim of Aiden that If Avery is a knight then James is a knight.", "We have exhausted all possibilities for Avery and Aiden, so let us go back and reconsider Aurora.", "Assume Aurora is a knave. No contradiction is found in their false claim that Aiden is a knave and Noah is a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that If Avery is a knight then James is a knight.", "Assume Avery is a knight. No contradiction is found in their claim that If Aurora is a knight then Noah is a knight.", "Assume Noah is a knight. No contradiction is found in their claim that Luke is a knave.", "Luke cannot be a knight, because this would contradict the claim of Noah that Luke is a knave.", "Assume Luke is a knave. No contradiction is found in their false claim that Chloe is a knight and Aurora is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that Aiden is a knight if and only if Noah is a knight.", "Assume James is a knight. No contradiction is found in their claim that If Aurora is a knight then Chloe is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 5), ('lying', 1)), ('lying', 4), ('->', ('telling-truth', 0), ('telling-truth', 6)), ('->', ('telling-truth', 0), ('telling-truth', 1)), ('and', ('telling-truth', 6), ('telling-truth', 0)), ('->', ('telling-truth', 3), ('telling-truth', 2)), ('<=>', ('telling-truth', 5), ('telling-truth', 1)))", "index": 680}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Logan, Mia, Ava, Aria, Penelope, Joseph, and Noah. \"Aria is not a knight,\" Logan mentioned. \"Penelope is not a knave\" - Mia. Ava remarked, \"Penelope is not a knave\". \"Noah is a knight or Penelope is a knight,\" Aria declared. Penelope expressed that Ava is a knight if and only if Noah is a knight. In Joseph's words: \"If Ava is a knight then Mia is a knave\". Noah noted, \"Joseph is not a knight\". So who is a knight and who is a knave?", "names": ["Logan", "Mia", "Ava", "Aria", "Penelope", "Joseph", "Noah"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, true, false, true], "solution_text": "Logan is a knave, Mia is a knight, Ava is a knight, Aria is a knight, Penelope is a knight, Joseph is a knave, and Noah is a knight.", "solution_text_format": "(1) Logan is a knave\n(2) Mia is a knight\n(3) Ava is a knight\n(4) Aria is a knight\n(5) Penelope is a knight\n(6) Joseph is a knave\n(7) Noah is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Logan is a knight. No contradiction is found in their claim that Aria is not a knight.", "Aria cannot be a knight, because this would contradict the claim of Logan that Aria is not a knight.", "Assume Aria is a knave. No contradiction is found in their false claim that Noah is a knight or Penelope is a knight.", "Noah cannot be a knight, because this would contradict the false claim of Aria that Noah is a knight or Penelope is a knight.", "Assume Noah is a knave. No contradiction is found in their false claim that Joseph is not a knight.", "Assume Joseph is a knight. No contradiction is found in their claim that If Ava is a knight then Mia is a knave.", "Assume Ava is a knight. No contradiction is found in their claim that Penelope is not a knave.", "Penelope cannot be a knight, because this would contradict the false claim of Aria that Noah is a knight or Penelope is a knight.", "Penelope cannot be a knave, because this would contradict the claim of Ava that Penelope is not a knave.", "We have exhausted all possibilities for Penelope, so let us go back and reconsider Ava.", "Assume Ava is a knave. No contradiction is found in their false claim that Penelope is not a knave.", "Penelope cannot be a knight, because this would contradict the false claim of Ava that Penelope is not a knave.", "Penelope cannot be a knave, because this would contradict the false claim of their own that Ava is a knight if and only if Noah is a knight.", "We have exhausted all possibilities for Penelope and Ava, so let us go back and reconsider Joseph.", "Joseph cannot be a knave, because this would contradict the false claim of Noah that Joseph is not a knight.", "We have exhausted all possibilities for Joseph, Noah, and Aria, so let us go back and reconsider Logan.", "Assume Logan is a knave. No contradiction is found in their false claim that Aria is not a knight.", "Assume Aria is a knight. No contradiction is found in their claim that Noah is a knight or Penelope is a knight.", "Assume Noah is a knight. No contradiction is found in their claim that Joseph is not a knight.", "Joseph cannot be a knight, because this would contradict the claim of Noah that Joseph is not a knight.", "Assume Joseph is a knave. No contradiction is found in their false claim that If Ava is a knight then Mia is a knave.", "Assume Ava is a knight. No contradiction is found in their claim that Penelope is not a knave.", "Assume Penelope is a knight. No contradiction is found in their claim that Ava is a knight if and only if Noah is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that Penelope is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 3)), ('not', ('lying', 4)), ('not', ('lying', 4)), ('or', ('telling-truth', 6), ('telling-truth', 4)), ('<=>', ('telling-truth', 2), ('telling-truth', 6)), ('->', ('telling-truth', 2), ('lying', 1)), ('not', ('telling-truth', 5)))", "index": 681}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: James, Ava, Abigail, Daniel, Sofia, Logan, and Grace. \"James is a knight or Logan is a knight,\" James mentioned. In a statement by Ava: \"Abigail is a knight or Daniel is a knight\". Abigail commented, \"Ava is a knave or Grace is a knave\". According to Daniel, \"If James is a knight then Abigail is a knave\". In a statement by Sofia: \"Ava is a knave and James is a knight\". Logan stated, \"Ava is a knight and James is a knave\". In a statement by Grace: \"If Abigail is a knave then Grace is a knight\". So who is a knight and who is a knave?", "names": ["James", "Ava", "Abigail", "Daniel", "Sofia", "Logan", "Grace"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true, false, false, true], "solution_text": "James is a knight, Ava is a knight, Abigail is a knave, Daniel is a knight, Sofia is a knave, Logan is a knave, and Grace is a knight.", "solution_text_format": "(1) James is a knight\n(2) Ava is a knight\n(3) Abigail is a knave\n(4) Daniel is a knight\n(5) Sofia is a knave\n(6) Logan is a knave\n(7) Grace is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume James is a knight. No contradiction is found in their claim that James is a knight or Logan is a knight.", "Logan cannot be a knight, because this would contradict the claim of their own that Ava is a knight and James is a knave.", "Assume Logan is a knave. No contradiction is found in their false claim that Ava is a knight and James is a knave.", "Assume Ava is a knight. No contradiction is found in their claim that Abigail is a knight or Daniel is a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that Ava is a knave or Grace is a knave.", "Grace cannot be a knight, because this would contradict the claim of Abigail that Ava is a knave or Grace is a knave.", "Grace cannot be a knave, because this would contradict the false claim of their own that If Abigail is a knave then Grace is a knight.", "We have exhausted all possibilities for Grace, so let us go back and reconsider Abigail.", "Assume Abigail is a knave. No contradiction is found in their false claim that Ava is a knave or Grace is a knave.", "Assume Grace is a knight. No contradiction is found in their claim that If Abigail is a knave then Grace is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that If James is a knight then Abigail is a knave.", "Sofia cannot be a knight, because this would contradict the claim of their own that Ava is a knave and James is a knight.", "Assume Sofia is a knave. No contradiction is found in their false claim that Ava is a knave and James is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 0), ('telling-truth', 5)), ('or', ('telling-truth', 2), ('telling-truth', 3)), ('or', ('lying', 1), ('lying', 6)), ('->', ('telling-truth', 0), ('lying', 2)), ('and', ('lying', 1), ('telling-truth', 0)), ('and', ('telling-truth', 1), ('lying', 0)), ('->', ('lying', 2), ('telling-truth', 6)))", "index": 682}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Scarlett, Ella, Aurora, Sofia, Olivia, Sophia, and Daniel. Scarlett asserted: \"Daniel is not a knight\". In a statement by Ella: \"Aurora is a knave\". According to Aurora, \"Olivia is a knave if and only if Daniel is a knave\". Sofia was heard saying, \"Aurora is not a knight\". Olivia commented, \"If Sofia is a knave then Aurora is a knave\". Sophia expressed that Sofia is a knave if and only if Daniel is a knave. Daniel commented, \"Olivia is not a knight\". So who is a knight and who is a knave?", "names": ["Scarlett", "Ella", "Aurora", "Sofia", "Olivia", "Sophia", "Daniel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true, true, false, false], "solution_text": "Scarlett is a knight, Ella is a knight, Aurora is a knave, Sofia is a knight, Olivia is a knight, Sophia is a knave, and Daniel is a knave.", "solution_text_format": "(1) Scarlett is a knight\n(2) Ella is a knight\n(3) Aurora is a knave\n(4) Sofia is a knight\n(5) Olivia is a knight\n(6) Sophia is a knave\n(7) Daniel is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Scarlett is a knight. No contradiction is found in their claim that Daniel is not a knight.", "Daniel cannot be a knight, because this would contradict the claim of Scarlett that Daniel is not a knight.", "Assume Daniel is a knave. No contradiction is found in their false claim that Olivia is not a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that If Sofia is a knave then Aurora is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that Aurora is not a knight.", "Aurora cannot be a knight, because this would contradict the claim of their own that Olivia is a knave if and only if Daniel is a knave.", "Assume Aurora is a knave. No contradiction is found in their false claim that Olivia is a knave if and only if Daniel is a knave.", "Assume Ella is a knight. No contradiction is found in their claim that Aurora is a knave.", "Sophia cannot be a knight, because this would contradict the claim of their own that Sofia is a knave if and only if Daniel is a knave.", "Assume Sophia is a knave. No contradiction is found in their false claim that Sofia is a knave if and only if Daniel is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 6)), ('lying', 2), ('<=>', ('lying', 4), ('lying', 6)), ('not', ('telling-truth', 2)), ('->', ('lying', 3), ('lying', 2)), ('<=>', ('lying', 3), ('lying', 6)), ('not', ('telling-truth', 4)))", "index": 683}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Jackson, Aurora, Liam, Mia, Sophia, Chloe, and Jacob. Jackson expressed that Mia is not a knight. Aurora remarked, \"Chloe is a knight or Sophia is a knight\". Liam stated, \"Aurora is a knight if and only if Jackson is a knave\". \"Liam is a knave and Mia is a knight,\" Mia claimed. Sophia stated, \"Jackson is a knave or Liam is a knight\". \"Chloe is a knight\" - Chloe. In a statement by Jacob: \"Sophia is a knave and Chloe is a knave\". So who is a knight and who is a knave?", "names": ["Jackson", "Aurora", "Liam", "Mia", "Sophia", "Chloe", "Jacob"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false, false, true, false], "solution_text": "Jackson is a knight, Aurora is a knight, Liam is a knave, Mia is a knave, Sophia is a knave, Chloe is a knight, and Jacob is a knave.", "solution_text_format": "(1) Jackson is a knight\n(2) Aurora is a knight\n(3) Liam is a knave\n(4) Mia is a knave\n(5) Sophia is a knave\n(6) Chloe is a knight\n(7) Jacob is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jackson is a knight. No contradiction is found in their claim that Mia is not a knight.", "Mia cannot be a knight, because this would contradict the claim of Jackson that Mia is not a knight.", "Assume Mia is a knave. No contradiction is found in their false claim that Liam is a knave and Mia is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that Aurora is a knight if and only if Jackson is a knave.", "Aurora cannot be a knight, because this would contradict the claim of Liam that Aurora is a knight if and only if Jackson is a knave.", "Assume Aurora is a knave. No contradiction is found in their false claim that Chloe is a knight or Sophia is a knight.", "Chloe cannot be a knight, because this would contradict the false claim of Aurora that Chloe is a knight or Sophia is a knight.", "Assume Chloe is a knave. No contradiction is found in their false claim that Chloe is a knight.", "Sophia cannot be a knight, because this would contradict the false claim of Aurora that Chloe is a knight or Sophia is a knight.", "Sophia cannot be a knave, because this would contradict the false claim of their own that Jackson is a knave or Liam is a knight.", "We have exhausted all possibilities for Sophia, Chloe, and Aurora, so let us go back and reconsider Liam.", "Assume Liam is a knave. No contradiction is found in their false claim that Aurora is a knight if and only if Jackson is a knave.", "Assume Aurora is a knight. No contradiction is found in their claim that Chloe is a knight or Sophia is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that Chloe is a knight.", "Sophia cannot be a knight, because this would contradict the claim of their own that Jackson is a knave or Liam is a knight.", "Assume Sophia is a knave. No contradiction is found in their false claim that Jackson is a knave or Liam is a knight.", "Jacob cannot be a knight, because this would contradict the claim of their own that Sophia is a knave and Chloe is a knave.", "Assume Jacob is a knave. No contradiction is found in their false claim that Sophia is a knave and Chloe is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 3)), ('or', ('telling-truth', 5), ('telling-truth', 4)), ('<=>', ('telling-truth', 1), ('lying', 0)), ('and', ('lying', 2), ('telling-truth', 3)), ('or', ('lying', 0), ('telling-truth', 2)), ('telling-truth', 5), ('and', ('lying', 4), ('lying', 5)))", "index": 684}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: William, Victoria, Joseph, Abigail, Michael, Luke, and Henry. \"Victoria is a knight,\" William declared. Victoria was heard saying, \"Abigail is a knight\". \"Henry is a knave and Abigail is a knave,\" Joseph mentioned. As Abigail put it, \"If William is a knight then Victoria is a knight\". \"Henry is a knight if and only if William is a knave,\" Michael claimed. Luke stated, \"Abigail is a knight and Michael is a knave\". Henry told you that If Luke is a knight then Henry is a knight. So who is a knight and who is a knave?", "names": ["William", "Victoria", "Joseph", "Abigail", "Michael", "Luke", "Henry"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true, false, true, true], "solution_text": "William is a knight, Victoria is a knight, Joseph is a knave, Abigail is a knight, Michael is a knave, Luke is a knight, and Henry is a knight.", "solution_text_format": "(1) William is a knight\n(2) Victoria is a knight\n(3) Joseph is a knave\n(4) Abigail is a knight\n(5) Michael is a knave\n(6) Luke is a knight\n(7) Henry is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume William is a knight. No contradiction is found in their claim that Victoria is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that Abigail is a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that If William is a knight then Victoria is a knight.", "Joseph cannot be a knight, because this would contradict the claim of their own that Henry is a knave and Abigail is a knave.", "Assume Joseph is a knave. No contradiction is found in their false claim that Henry is a knave and Abigail is a knave.", "Assume Henry is a knight. No contradiction is found in their claim that If Luke is a knight then Henry is a knight.", "Assume Luke is a knight. No contradiction is found in their claim that Abigail is a knight and Michael is a knave.", "Michael cannot be a knight, because this would contradict the claim of their own that Henry is a knight if and only if William is a knave.", "Assume Michael is a knave. No contradiction is found in their false claim that Henry is a knight if and only if William is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 1), ('telling-truth', 3), ('and', ('lying', 6), ('lying', 3)), ('->', ('telling-truth', 0), ('telling-truth', 1)), ('<=>', ('telling-truth', 6), ('lying', 0)), ('and', ('telling-truth', 3), ('lying', 4)), ('->', ('telling-truth', 5), ('telling-truth', 6)))", "index": 685}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Aurora, Mason, Luke, Victoria, Elizabeth, Ella, and Lucas. Aurora remarked, \"Ella is a knight and Victoria is a knight\". In Mason's words: \"If Lucas is a knight then Mason is a knight\". As Luke put it, \"Victoria is a knave and Lucas is a knight\". In Victoria's words: \"Mason is not a knight\". Elizabeth noted, \"Mason is a knave if and only if Victoria is a knave\". \"Mason is a knave or Victoria is a knave,\" Ella declared. Lucas expressed that Aurora is a knave and Victoria is a knave. So who is a knight and who is a knave?", "names": ["Aurora", "Mason", "Luke", "Victoria", "Elizabeth", "Ella", "Lucas"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false, false, true, true], "solution_text": "Aurora is a knave, Mason is a knight, Luke is a knight, Victoria is a knave, Elizabeth is a knave, Ella is a knight, and Lucas is a knight.", "solution_text_format": "(1) Aurora is a knave\n(2) Mason is a knight\n(3) Luke is a knight\n(4) Victoria is a knave\n(5) Elizabeth is a knave\n(6) Ella is a knight\n(7) Lucas is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aurora is a knight. No contradiction is found in their claim that Ella is a knight and Victoria is a knight.", "Assume Ella is a knight. No contradiction is found in their claim that Mason is a knave or Victoria is a knave.", "Assume Mason is a knight. No contradiction is found in their claim that If Lucas is a knight then Mason is a knight.", "Lucas cannot be a knight, because this would contradict the claim of their own that Aurora is a knave and Victoria is a knave.", "Assume Lucas is a knave. No contradiction is found in their false claim that Aurora is a knave and Victoria is a knave.", "Victoria cannot be a knight, because this would contradict the claim of their own that Mason is not a knight.", "Victoria cannot be a knave, because this would contradict the claim of Aurora that Ella is a knight and Victoria is a knight.", "We have exhausted all possibilities for Victoria and Lucas, so let us go back and reconsider Mason.", "Assume Mason is a knave. No contradiction is found in their false claim that If Lucas is a knight then Mason is a knight.", "Lucas cannot be a knight, because this would contradict the claim of their own that Aurora is a knave and Victoria is a knave.", "Lucas cannot be a knave, because this would contradict the false claim of Mason that If Lucas is a knight then Mason is a knight.", "We have exhausted all possibilities for Lucas and Mason, so let us go back and reconsider Ella.", "Ella cannot be a knave, because this would contradict the claim of Aurora that Ella is a knight and Victoria is a knight.", "We have exhausted all possibilities for Ella, so let us go back and reconsider Aurora.", "Assume Aurora is a knave. No contradiction is found in their false claim that Ella is a knight and Victoria is a knight.", "Assume Ella is a knight. No contradiction is found in their claim that Mason is a knave or Victoria is a knave.", "Assume Mason is a knight. No contradiction is found in their claim that If Lucas is a knight then Mason is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that Aurora is a knave and Victoria is a knave.", "Victoria cannot be a knight, because this would contradict the false claim of Aurora that Ella is a knight and Victoria is a knight.", "Assume Victoria is a knave. No contradiction is found in their false claim that Mason is not a knight.", "Assume Luke is a knight. No contradiction is found in their claim that Victoria is a knave and Lucas is a knight.", "Elizabeth cannot be a knight, because this would contradict the claim of their own that Mason is a knave if and only if Victoria is a knave.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Mason is a knave if and only if Victoria is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 5), ('telling-truth', 3)), ('->', ('telling-truth', 6), ('telling-truth', 1)), ('and', ('lying', 3), ('telling-truth', 6)), ('not', ('telling-truth', 1)), ('<=>', ('lying', 1), ('lying', 3)), ('or', ('lying', 1), ('lying', 3)), ('and', ('lying', 0), ('lying', 3)))", "index": 686}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Elizabeth, Michael, David, Riley, James, Liam, and Olivia. \"Olivia is a knight if and only if David is a knight,\" Elizabeth claimed. Michael commented, \"Elizabeth is not a knight\". David asserted: \"If Olivia is a knight then Olivia is a knave\". In a statement by Riley: \"James is not a knight\". James stated, \"Olivia is a knave if and only if David is a knight\". Liam was heard saying, \"David is a knight and Riley is a knave\". Olivia expressed that James is not a knight. So who is a knight and who is a knave?", "names": ["Elizabeth", "Michael", "David", "Riley", "James", "Liam", "Olivia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false, true, true, false], "solution_text": "Elizabeth is a knave, Michael is a knight, David is a knight, Riley is a knave, James is a knight, Liam is a knight, and Olivia is a knave.", "solution_text_format": "(1) Elizabeth is a knave\n(2) Michael is a knight\n(3) David is a knight\n(4) Riley is a knave\n(5) James is a knight\n(6) Liam is a knight\n(7) Olivia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Elizabeth is a knight. No contradiction is found in their claim that Olivia is a knight if and only if David is a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that James is not a knight.", "James cannot be a knight, because this would contradict the claim of Olivia that James is not a knight.", "Assume James is a knave. No contradiction is found in their false claim that Olivia is a knave if and only if David is a knight.", "David cannot be a knight, because this would contradict the claim of their own that If Olivia is a knight then Olivia is a knave.", "David cannot be a knave, because this would contradict the claim of Elizabeth that Olivia is a knight if and only if David is a knight.", "We have exhausted all possibilities for David and James, so let us go back and reconsider Olivia.", "Assume Olivia is a knave. No contradiction is found in their false claim that James is not a knight.", "Assume James is a knight. No contradiction is found in their claim that Olivia is a knave if and only if David is a knight.", "David cannot be a knight, because this would contradict the claim of Elizabeth that Olivia is a knight if and only if David is a knight.", "David cannot be a knave, because this would contradict the false claim of their own that If Olivia is a knight then Olivia is a knave.", "We have exhausted all possibilities for David, so let us go back and reconsider James.", "James cannot be a knave, because this would contradict the false claim of Olivia that James is not a knight.", "We have exhausted all possibilities for James and Olivia, so let us go back and reconsider Elizabeth.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Olivia is a knight if and only if David is a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that James is not a knight.", "James cannot be a knight, because this would contradict the claim of Olivia that James is not a knight.", "Assume James is a knave. No contradiction is found in their false claim that Olivia is a knave if and only if David is a knight.", "David cannot be a knight, because this would contradict the false claim of Elizabeth that Olivia is a knight if and only if David is a knight.", "David cannot be a knave, because this would contradict the false claim of James that Olivia is a knave if and only if David is a knight.", "We have exhausted all possibilities for David and James, so let us go back and reconsider Olivia.", "Assume Olivia is a knave. No contradiction is found in their false claim that James is not a knight.", "Assume James is a knight. No contradiction is found in their claim that Olivia is a knave if and only if David is a knight.", "Assume David is a knight. No contradiction is found in their claim that If Olivia is a knight then Olivia is a knave.", "Assume Michael is a knight. No contradiction is found in their claim that Elizabeth is not a knight.", "Riley cannot be a knight, because this would contradict the claim of their own that James is not a knight.", "Assume Riley is a knave. No contradiction is found in their false claim that James is not a knight.", "Assume Liam is a knight. No contradiction is found in their claim that David is a knight and Riley is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 6), ('telling-truth', 2)), ('not', ('telling-truth', 0)), ('->', ('telling-truth', 6), ('lying', 6)), ('not', ('telling-truth', 4)), ('<=>', ('lying', 6), ('telling-truth', 2)), ('and', ('telling-truth', 2), ('lying', 3)), ('not', ('telling-truth', 4)))", "index": 687}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Noah, Scarlett, James, Harper, Logan, Ava, and Avery. Noah remarked, \"Ava is a knight if and only if Avery is a knave\". In Scarlett's words: \"Avery is a knave if and only if Harper is a knight\". According to James, \"Noah is not a knave\". Harper said that If James is a knave then Logan is a knave. In a statement by Logan: \"Ava is a knight if and only if Noah is a knave\". \"James is a knight and Avery is a knight,\" Ava claimed. Avery said that If Harper is a knight then Scarlett is a knave. So who is a knight and who is a knave?", "names": ["Noah", "Scarlett", "James", "Harper", "Logan", "Ava", "Avery"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true, false, false, false], "solution_text": "Noah is a knave, Scarlett is a knight, James is a knave, Harper is a knight, Logan is a knave, Ava is a knave, and Avery is a knave.", "solution_text_format": "(1) Noah is a knave\n(2) Scarlett is a knight\n(3) James is a knave\n(4) Harper is a knight\n(5) Logan is a knave\n(6) Ava is a knave\n(7) Avery is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Noah is a knight. No contradiction is found in their claim that Ava is a knight if and only if Avery is a knave.", "Assume Ava is a knight. No contradiction is found in their claim that James is a knight and Avery is a knight.", "Assume James is a knight. No contradiction is found in their claim that Noah is not a knave.", "Avery cannot be a knight, because this would contradict the claim of Noah that Ava is a knight if and only if Avery is a knave.", "Avery cannot be a knave, because this would contradict the claim of Ava that James is a knight and Avery is a knight.", "We have exhausted all possibilities for Avery, so let us go back and reconsider James.", "James cannot be a knave, because this would contradict the false claim of their own that Noah is not a knave.", "We have exhausted all possibilities for James, so let us go back and reconsider Ava.", "Assume Ava is a knave. No contradiction is found in their false claim that James is a knight and Avery is a knight.", "Assume James is a knight. No contradiction is found in their claim that Noah is not a knave.", "Avery cannot be a knight, because this would contradict the false claim of Ava that James is a knight and Avery is a knight.", "Avery cannot be a knave, because this would contradict the claim of Noah that Ava is a knight if and only if Avery is a knave.", "We have exhausted all possibilities for Avery, so let us go back and reconsider James.", "James cannot be a knave, because this would contradict the false claim of their own that Noah is not a knave.", "We have exhausted all possibilities for James and Ava, so let us go back and reconsider Noah.", "Assume Noah is a knave. No contradiction is found in their false claim that Ava is a knight if and only if Avery is a knave.", "Assume Ava is a knight. No contradiction is found in their claim that James is a knight and Avery is a knight.", "James cannot be a knight, because this would contradict the claim of their own that Noah is not a knave.", "James cannot be a knave, because this would contradict the claim of Ava that James is a knight and Avery is a knight.", "We have exhausted all possibilities for James, so let us go back and reconsider Ava.", "Assume Ava is a knave. No contradiction is found in their false claim that James is a knight and Avery is a knight.", "James cannot be a knight, because this would contradict the claim of their own that Noah is not a knave.", "Assume James is a knave. No contradiction is found in their false claim that Noah is not a knave.", "Avery cannot be a knight, because this would contradict the false claim of Noah that Ava is a knight if and only if Avery is a knave.", "Assume Avery is a knave. No contradiction is found in their false claim that If Harper is a knight then Scarlett is a knave.", "Assume Harper is a knight. No contradiction is found in their claim that If James is a knave then Logan is a knave.", "Logan cannot be a knight, because this would contradict the claim of Harper that If James is a knave then Logan is a knave.", "Assume Logan is a knave. No contradiction is found in their false claim that Ava is a knight if and only if Noah is a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that Avery is a knave if and only if Harper is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 5), ('lying', 6)), ('<=>', ('lying', 6), ('telling-truth', 3)), ('not', ('lying', 0)), ('->', ('lying', 2), ('lying', 4)), ('<=>', ('telling-truth', 5), ('lying', 0)), ('and', ('telling-truth', 2), ('telling-truth', 6)), ('->', ('telling-truth', 3), ('lying', 1)))", "index": 688}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Aiden, Owen, Chloe, Lily, Jacob, Henry, and Samuel. According to Aiden, \"If Chloe is a knight then Samuel is a knight\". Owen noted, \"Jacob is a knight\". Chloe expressed that Aiden is a knight if and only if Aiden is a knave. In a statement by Lily: \"Samuel is a knave\". Jacob stated, \"Aiden is a knight or Henry is a knight\". \"Aiden is not a knave,\" Henry claimed. As Samuel put it, \"Chloe is a knight if and only if Chloe is a knave\". So who is a knight and who is a knave?", "names": ["Aiden", "Owen", "Chloe", "Lily", "Jacob", "Henry", "Samuel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true, true, true, false], "solution_text": "Aiden is a knight, Owen is a knight, Chloe is a knave, Lily is a knight, Jacob is a knight, Henry is a knight, and Samuel is a knave.", "solution_text_format": "(1) Aiden is a knight\n(2) Owen is a knight\n(3) Chloe is a knave\n(4) Lily is a knight\n(5) Jacob is a knight\n(6) Henry is a knight\n(7) Samuel is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aiden is a knight. No contradiction is found in their claim that If Chloe is a knight then Samuel is a knight.", "Chloe cannot be a knight, because this would contradict the claim of their own that Aiden is a knight if and only if Aiden is a knave.", "Assume Chloe is a knave. No contradiction is found in their false claim that Aiden is a knight if and only if Aiden is a knave.", "Samuel cannot be a knight, because this would contradict the claim of their own that Chloe is a knight if and only if Chloe is a knave.", "Assume Samuel is a knave. No contradiction is found in their false claim that Chloe is a knight if and only if Chloe is a knave.", "Assume Owen is a knight. No contradiction is found in their claim that Jacob is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that Aiden is a knight or Henry is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that Aiden is not a knave.", "Assume Lily is a knight. No contradiction is found in their claim that Samuel is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 2), ('telling-truth', 6)), ('telling-truth', 4), ('<=>', ('telling-truth', 0), ('lying', 0)), ('lying', 6), ('or', ('telling-truth', 0), ('telling-truth', 5)), ('not', ('lying', 0)), ('<=>', ('telling-truth', 2), ('lying', 2)))", "index": 689}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Olivia, Alexander, Chloe, Sebastian, Lily, Elizabeth, and Emily. Olivia said that Chloe is a knight or Elizabeth is a knight. Alexander said, \"Sebastian is a knight or Chloe is a knight.\" In a statement by Chloe: \"Lily is a knave or Alexander is a knave\". Sebastian stated, \"Olivia is not a knave\". Lily told you that Sebastian is a knave or Lily is a knight. In a statement by Elizabeth: \"Sebastian is a knave and Emily is a knave\". As Emily put it, \"Alexander is a knave if and only if Alexander is a knight\". So who is a knight and who is a knave?", "names": ["Olivia", "Alexander", "Chloe", "Sebastian", "Lily", "Elizabeth", "Emily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, false, false, false], "solution_text": "Olivia is a knight, Alexander is a knight, Chloe is a knight, Sebastian is a knight, Lily is a knave, Elizabeth is a knave, and Emily is a knave.", "solution_text_format": "(1) Olivia is a knight\n(2) Alexander is a knight\n(3) Chloe is a knight\n(4) Sebastian is a knight\n(5) Lily is a knave\n(6) Elizabeth is a knave\n(7) Emily is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Olivia is a knight. No contradiction is found in their claim that Chloe is a knight or Elizabeth is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that Lily is a knave or Alexander is a knave.", "Assume Lily is a knight. No contradiction is found in their claim that Sebastian is a knave or Lily is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Olivia is not a knave.", "Alexander cannot be a knight, because this would contradict the claim of Chloe that Lily is a knave or Alexander is a knave.", "Alexander cannot be a knave, because this would contradict the false claim of their own that Sebastian is a knight or Chloe is a knight.", "We have exhausted all possibilities for Alexander, so let us go back and reconsider Sebastian.", "Sebastian cannot be a knave, because this would contradict the false claim of their own that Olivia is not a knave.", "We have exhausted all possibilities for Sebastian, so let us go back and reconsider Lily.", "Assume Lily is a knave. No contradiction is found in their false claim that Sebastian is a knave or Lily is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Olivia is not a knave.", "Assume Alexander is a knight. No contradiction is found in their claim that Sebastian is a knight or Chloe is a knight.", "Elizabeth cannot be a knight, because this would contradict the claim of their own that Sebastian is a knave and Emily is a knave.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Sebastian is a knave and Emily is a knave.", "Emily cannot be a knight, because this would contradict the claim of their own that Alexander is a knave if and only if Alexander is a knight.", "Assume Emily is a knave. No contradiction is found in their false claim that Alexander is a knave if and only if Alexander is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 2), ('telling-truth', 5)), ('or', ('telling-truth', 3), ('telling-truth', 2)), ('or', ('lying', 4), ('lying', 1)), ('not', ('lying', 0)), ('or', ('lying', 3), ('telling-truth', 4)), ('and', ('lying', 3), ('lying', 6)), ('<=>', ('lying', 1), ('telling-truth', 1)))", "index": 690}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: William, Sophia, Amelia, Scarlett, Jacob, Harper, and Benjamin. In a statement by William: \"William is a knight or Harper is a knave\". As Sophia put it, \"William is a knight or Amelia is a knight\". According to Amelia, \"If Benjamin is a knave then Scarlett is a knave\". Scarlett commented, \"Sophia is a knight\". Jacob told you that If Sophia is a knave then Benjamin is a knight. According to Harper, \"If Jacob is a knave then Sophia is a knight\". \"If Jacob is a knight then William is a knight,\" Benjamin mentioned. So who is a knight and who is a knave?", "names": ["William", "Sophia", "Amelia", "Scarlett", "Jacob", "Harper", "Benjamin"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, true, true, true], "solution_text": "William is a knight, Sophia is a knight, Amelia is a knight, Scarlett is a knight, Jacob is a knight, Harper is a knight, and Benjamin is a knight.", "solution_text_format": "(1) William is a knight\n(2) Sophia is a knight\n(3) Amelia is a knight\n(4) Scarlett is a knight\n(5) Jacob is a knight\n(6) Harper is a knight\n(7) Benjamin is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume William is a knight. No contradiction is found in their claim that William is a knight or Harper is a knave.", "Assume Harper is a knight. No contradiction is found in their claim that If Jacob is a knave then Sophia is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that If Sophia is a knave then Benjamin is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that William is a knight or Amelia is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that If Benjamin is a knave then Scarlett is a knave.", "Assume Benjamin is a knight. No contradiction is found in their claim that If Jacob is a knight then William is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that Sophia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 0), ('lying', 5)), ('or', ('telling-truth', 0), ('telling-truth', 2)), ('->', ('lying', 6), ('lying', 3)), ('telling-truth', 1), ('->', ('lying', 1), ('telling-truth', 6)), ('->', ('lying', 4), ('telling-truth', 1)), ('->', ('telling-truth', 4), ('telling-truth', 0)))", "index": 691}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Daniel, Michael, Matthew, Emily, Ethan, Samuel, and Liam. Daniel commented, \"If Emily is a knave then Daniel is a knight\". Michael asserted: \"Samuel is a knave or Samuel is a knight\". \"Michael is a knave or Emily is a knave,\" Matthew claimed. Emily remarked, \"If Samuel is a knave then Samuel is a knight\". Ethan asserted: \"Michael is a knight if and only if Daniel is a knave\". Samuel remarked, \"Michael is a knight or Matthew is a knave\". Liam was heard saying, \"If Ethan is a knight then Liam is a knight\". So who is a knight and who is a knave?", "names": ["Daniel", "Michael", "Matthew", "Emily", "Ethan", "Samuel", "Liam"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true, false, true, true], "solution_text": "Daniel is a knight, Michael is a knight, Matthew is a knave, Emily is a knight, Ethan is a knave, Samuel is a knight, and Liam is a knight.", "solution_text_format": "(1) Daniel is a knight\n(2) Michael is a knight\n(3) Matthew is a knave\n(4) Emily is a knight\n(5) Ethan is a knave\n(6) Samuel is a knight\n(7) Liam is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Daniel is a knight. No contradiction is found in their claim that If Emily is a knave then Daniel is a knight.", "Assume Emily is a knight. No contradiction is found in their claim that If Samuel is a knave then Samuel is a knight.", "Assume Samuel is a knight. No contradiction is found in their claim that Michael is a knight or Matthew is a knave.", "Assume Michael is a knight. No contradiction is found in their claim that Samuel is a knave or Samuel is a knight.", "Matthew cannot be a knight, because this would contradict the claim of their own that Michael is a knave or Emily is a knave.", "Assume Matthew is a knave. No contradiction is found in their false claim that Michael is a knave or Emily is a knave.", "Ethan cannot be a knight, because this would contradict the claim of their own that Michael is a knight if and only if Daniel is a knave.", "Assume Ethan is a knave. No contradiction is found in their false claim that Michael is a knight if and only if Daniel is a knave.", "Assume Liam is a knight. No contradiction is found in their claim that If Ethan is a knight then Liam is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 3), ('telling-truth', 0)), ('or', ('lying', 5), ('telling-truth', 5)), ('or', ('lying', 1), ('lying', 3)), ('->', ('lying', 5), ('telling-truth', 5)), ('<=>', ('telling-truth', 1), ('lying', 0)), ('or', ('telling-truth', 1), ('lying', 2)), ('->', ('telling-truth', 4), ('telling-truth', 6)))", "index": 692}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Ethan, Isabella, Oliver, Alexander, Logan, William, and Lily. Ethan noted, \"If William is a knave then Logan is a knave\". \"Isabella is a knight or Oliver is a knight,\" Isabella mentioned. \"Isabella is not a knight,\" Oliver mentioned. \"Ethan is a knave if and only if William is a knave\" - Alexander. According to Logan, \"Lily is not a knave\". William said that If Isabella is a knight then Alexander is a knave. Lily noted, \"Alexander is a knight and Oliver is a knave\". So who is a knight and who is a knave?", "names": ["Ethan", "Isabella", "Oliver", "Alexander", "Logan", "William", "Lily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true, true, false, true], "solution_text": "Ethan is a knave, Isabella is a knight, Oliver is a knave, Alexander is a knight, Logan is a knight, William is a knave, and Lily is a knight.", "solution_text_format": "(1) Ethan is a knave\n(2) Isabella is a knight\n(3) Oliver is a knave\n(4) Alexander is a knight\n(5) Logan is a knight\n(6) William is a knave\n(7) Lily is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ethan is a knight. No contradiction is found in their claim that If William is a knave then Logan is a knave.", "Assume William is a knight. No contradiction is found in their claim that If Isabella is a knight then Alexander is a knave.", "Assume Isabella is a knight. No contradiction is found in their claim that Isabella is a knight or Oliver is a knight.", "Oliver cannot be a knight, because this would contradict the claim of their own that Isabella is not a knight.", "Assume Oliver is a knave. No contradiction is found in their false claim that Isabella is not a knight.", "Alexander cannot be a knight, because this would contradict the claim of William that If Isabella is a knight then Alexander is a knave.", "Alexander cannot be a knave, because this would contradict the false claim of their own that Ethan is a knave if and only if William is a knave.", "We have exhausted all possibilities for Alexander and Oliver, so let us go back and reconsider Isabella.", "Assume Isabella is a knave. No contradiction is found in their false claim that Isabella is a knight or Oliver is a knight.", "Oliver cannot be a knight, because this would contradict the false claim of Isabella that Isabella is a knight or Oliver is a knight.", "Oliver cannot be a knave, because this would contradict the false claim of their own that Isabella is not a knight.", "We have exhausted all possibilities for Oliver and Isabella, so let us go back and reconsider William.", "Assume William is a knave. No contradiction is found in their false claim that If Isabella is a knight then Alexander is a knave.", "Assume Isabella is a knight. No contradiction is found in their claim that Isabella is a knight or Oliver is a knight.", "Oliver cannot be a knight, because this would contradict the claim of their own that Isabella is not a knight.", "Assume Oliver is a knave. No contradiction is found in their false claim that Isabella is not a knight.", "Alexander cannot be a knight, because this would contradict the claim of their own that Ethan is a knave if and only if William is a knave.", "Alexander cannot be a knave, because this would contradict the false claim of William that If Isabella is a knight then Alexander is a knave.", "We have exhausted all possibilities for Alexander and Oliver, so let us go back and reconsider Isabella.", "Isabella cannot be a knave, because this would contradict the false claim of William that If Isabella is a knight then Alexander is a knave.", "We have exhausted all possibilities for Isabella and William, so let us go back and reconsider Ethan.", "Assume Ethan is a knave. No contradiction is found in their false claim that If William is a knave then Logan is a knave.", "William cannot be a knight, because this would contradict the false claim of Ethan that If William is a knave then Logan is a knave.", "Assume William is a knave. No contradiction is found in their false claim that If Isabella is a knight then Alexander is a knave.", "Assume Isabella is a knight. No contradiction is found in their claim that Isabella is a knight or Oliver is a knight.", "Oliver cannot be a knight, because this would contradict the claim of their own that Isabella is not a knight.", "Assume Oliver is a knave. No contradiction is found in their false claim that Isabella is not a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that Ethan is a knave if and only if William is a knave.", "Assume Logan is a knight. No contradiction is found in their claim that Lily is not a knave.", "Assume Lily is a knight. No contradiction is found in their claim that Alexander is a knight and Oliver is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 5), ('lying', 4)), ('or', ('telling-truth', 1), ('telling-truth', 2)), ('not', ('telling-truth', 1)), ('<=>', ('lying', 0), ('lying', 5)), ('not', ('lying', 6)), ('->', ('telling-truth', 1), ('lying', 3)), ('and', ('telling-truth', 3), ('lying', 2)))", "index": 693}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Zoey, Victoria, Mia, Scarlett, Aiden, Logan, and William. Zoey told you that Aiden is a knight. \"Mia is not a knave\" - Victoria. Mia commented, \"Zoey is not a knave\". In a statement by Scarlett: \"If Aiden is a knave then Aiden is a knight\". In a statement by Aiden: \"Logan is a knave and Scarlett is a knave\". \"Mia is a knave and Logan is a knight,\" Logan declared. In William's words: \"If Aiden is a knave then Victoria is a knave\". So who is a knight and who is a knave?", "names": ["Zoey", "Victoria", "Mia", "Scarlett", "Aiden", "Logan", "William"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, false, false, true, true], "solution_text": "Zoey is a knave, Victoria is a knave, Mia is a knave, Scarlett is a knave, Aiden is a knave, Logan is a knight, and William is a knight.", "solution_text_format": "(1) Zoey is a knave\n(2) Victoria is a knave\n(3) Mia is a knave\n(4) Scarlett is a knave\n(5) Aiden is a knave\n(6) Logan is a knight\n(7) William is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Zoey is a knight. No contradiction is found in their claim that Aiden is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that Logan is a knave and Scarlett is a knave.", "Logan cannot be a knight, because this would contradict the claim of Aiden that Logan is a knave and Scarlett is a knave.", "Assume Logan is a knave. No contradiction is found in their false claim that Mia is a knave and Logan is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that Zoey is not a knave.", "Scarlett cannot be a knight, because this would contradict the claim of Aiden that Logan is a knave and Scarlett is a knave.", "Scarlett cannot be a knave, because this would contradict the false claim of their own that If Aiden is a knave then Aiden is a knight.", "We have exhausted all possibilities for Scarlett, so let us go back and reconsider Mia.", "Mia cannot be a knave, because this would contradict the false claim of their own that Zoey is not a knave.", "We have exhausted all possibilities for Mia and Logan, so let us go back and reconsider Aiden.", "Aiden cannot be a knave, because this would contradict the claim of Zoey that Aiden is a knight.", "We have exhausted all possibilities for Aiden, so let us go back and reconsider Zoey.", "Assume Zoey is a knave. No contradiction is found in their false claim that Aiden is a knight.", "Aiden cannot be a knight, because this would contradict the false claim of Zoey that Aiden is a knight.", "Assume Aiden is a knave. No contradiction is found in their false claim that Logan is a knave and Scarlett is a knave.", "Assume Logan is a knight. No contradiction is found in their claim that Mia is a knave and Logan is a knight.", "Mia cannot be a knight, because this would contradict the claim of their own that Zoey is not a knave.", "Assume Mia is a knave. No contradiction is found in their false claim that Zoey is not a knave.", "Scarlett cannot be a knight, because this would contradict the claim of their own that If Aiden is a knave then Aiden is a knight.", "Assume Scarlett is a knave. No contradiction is found in their false claim that If Aiden is a knave then Aiden is a knight.", "Victoria cannot be a knight, because this would contradict the claim of their own that Mia is not a knave.", "Assume Victoria is a knave. No contradiction is found in their false claim that Mia is not a knave.", "Assume William is a knight. No contradiction is found in their claim that If Aiden is a knave then Victoria is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 4), ('not', ('lying', 2)), ('not', ('lying', 0)), ('->', ('lying', 4), ('telling-truth', 4)), ('and', ('lying', 5), ('lying', 3)), ('and', ('lying', 2), ('telling-truth', 5)), ('->', ('lying', 4), ('lying', 1)))", "index": 694}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Ella, Liam, Ava, Abigail, Aurora, Charlotte, and Avery. Ella said, \"Aurora is a knight or Avery is a knave.\" According to Liam, \"Charlotte is a knave if and only if Ava is a knave\". Ava asserted: \"Ella is not a knight\". Abigail remarked, \"Aurora is a knight\". Aurora remarked, \"Charlotte is a knight or Abigail is a knight\". In Charlotte's words: \"Ella is a knave or Ella is a knight\". Avery noted, \"Aurora is not a knight\". So who is a knight and who is a knave?", "names": ["Ella", "Liam", "Ava", "Abigail", "Aurora", "Charlotte", "Avery"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, true, true, false], "solution_text": "Ella is a knight, Liam is a knave, Ava is a knave, Abigail is a knight, Aurora is a knight, Charlotte is a knight, and Avery is a knave.", "solution_text_format": "(1) Ella is a knight\n(2) Liam is a knave\n(3) Ava is a knave\n(4) Abigail is a knight\n(5) Aurora is a knight\n(6) Charlotte is a knight\n(7) Avery is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ella is a knight. No contradiction is found in their claim that Aurora is a knight or Avery is a knave.", "Assume Aurora is a knight. No contradiction is found in their claim that Charlotte is a knight or Abigail is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that Ella is a knave or Ella is a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that Aurora is a knight.", "Avery cannot be a knight, because this would contradict the claim of their own that Aurora is not a knight.", "Assume Avery is a knave. No contradiction is found in their false claim that Aurora is not a knight.", "Assume Liam is a knight. No contradiction is found in their claim that Charlotte is a knave if and only if Ava is a knave.", "Ava cannot be a knight, because this would contradict the claim of their own that Ella is not a knight.", "Ava cannot be a knave, because this would contradict the claim of Liam that Charlotte is a knave if and only if Ava is a knave.", "We have exhausted all possibilities for Ava, so let us go back and reconsider Liam.", "Assume Liam is a knave. No contradiction is found in their false claim that Charlotte is a knave if and only if Ava is a knave.", "Ava cannot be a knight, because this would contradict the false claim of Liam that Charlotte is a knave if and only if Ava is a knave.", "Assume Ava is a knave. No contradiction is found in their false claim that Ella is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 4), ('lying', 6)), ('<=>', ('lying', 5), ('lying', 2)), ('not', ('telling-truth', 0)), ('telling-truth', 4), ('or', ('telling-truth', 5), ('telling-truth', 3)), ('or', ('lying', 0), ('telling-truth', 0)), ('not', ('telling-truth', 4)))", "index": 695}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Aiden, Charlotte, Riley, Avery, James, Amelia, and Olivia. Aiden stated, \"Olivia is a knave if and only if James is a knight\". Charlotte commented, \"If Avery is a knave then Charlotte is a knight\". \"Charlotte is a knave if and only if Amelia is a knight\" - Riley. \"Charlotte is a knave,\" Avery declared. In James's words: \"Aiden is a knight and Riley is a knight\". As Amelia put it, \"Aiden is a knight if and only if James is a knight\". \"James is a knight,\" Olivia claimed. So who is a knight and who is a knave?", "names": ["Aiden", "Charlotte", "Riley", "Avery", "James", "Amelia", "Olivia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false, false, true, false], "solution_text": "Aiden is a knave, Charlotte is a knight, Riley is a knave, Avery is a knave, James is a knave, Amelia is a knight, and Olivia is a knave.", "solution_text_format": "(1) Aiden is a knave\n(2) Charlotte is a knight\n(3) Riley is a knave\n(4) Avery is a knave\n(5) James is a knave\n(6) Amelia is a knight\n(7) Olivia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aiden is a knight. No contradiction is found in their claim that Olivia is a knave if and only if James is a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that James is a knight.", "James cannot be a knight, because this would contradict the claim of Aiden that Olivia is a knave if and only if James is a knight.", "James cannot be a knave, because this would contradict the claim of Olivia that James is a knight.", "We have exhausted all possibilities for James, so let us go back and reconsider Olivia.", "Assume Olivia is a knave. No contradiction is found in their false claim that James is a knight.", "James cannot be a knight, because this would contradict the false claim of Olivia that James is a knight.", "James cannot be a knave, because this would contradict the claim of Aiden that Olivia is a knave if and only if James is a knight.", "We have exhausted all possibilities for James and Olivia, so let us go back and reconsider Aiden.", "Assume Aiden is a knave. No contradiction is found in their false claim that Olivia is a knave if and only if James is a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that James is a knight.", "James cannot be a knight, because this would contradict the claim of their own that Aiden is a knight and Riley is a knight.", "James cannot be a knave, because this would contradict the false claim of Aiden that Olivia is a knave if and only if James is a knight.", "We have exhausted all possibilities for James, so let us go back and reconsider Olivia.", "Assume Olivia is a knave. No contradiction is found in their false claim that James is a knight.", "James cannot be a knight, because this would contradict the false claim of Aiden that Olivia is a knave if and only if James is a knight.", "Assume James is a knave. No contradiction is found in their false claim that Aiden is a knight and Riley is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that Charlotte is a knave if and only if Amelia is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that If Avery is a knave then Charlotte is a knight.", "Avery cannot be a knight, because this would contradict the claim of their own that Charlotte is a knave.", "Assume Avery is a knave. No contradiction is found in their false claim that Charlotte is a knave.", "Amelia cannot be a knight, because this would contradict the claim of Riley that Charlotte is a knave if and only if Amelia is a knight.", "Amelia cannot be a knave, because this would contradict the false claim of their own that Aiden is a knight if and only if James is a knight.", "We have exhausted all possibilities for Amelia and Avery, so let us go back and reconsider Charlotte.", "Assume Charlotte is a knave. No contradiction is found in their false claim that If Avery is a knave then Charlotte is a knight.", "Avery cannot be a knight, because this would contradict the false claim of Charlotte that If Avery is a knave then Charlotte is a knight.", "Avery cannot be a knave, because this would contradict the false claim of their own that Charlotte is a knave.", "We have exhausted all possibilities for Avery and Charlotte, so let us go back and reconsider Riley.", "Assume Riley is a knave. No contradiction is found in their false claim that Charlotte is a knave if and only if Amelia is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that If Avery is a knave then Charlotte is a knight.", "Avery cannot be a knight, because this would contradict the claim of their own that Charlotte is a knave.", "Assume Avery is a knave. No contradiction is found in their false claim that Charlotte is a knave.", "Assume Amelia is a knight. No contradiction is found in their claim that Aiden is a knight if and only if James is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 6), ('telling-truth', 4)), ('->', ('lying', 3), ('telling-truth', 1)), ('<=>', ('lying', 1), ('telling-truth', 5)), ('lying', 1), ('and', ('telling-truth', 0), ('telling-truth', 2)), ('<=>', ('telling-truth', 0), ('telling-truth', 4)), ('telling-truth', 4))", "index": 696}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Lily, Olivia, Evelyn, David, Sebastian, Joseph, and Jack. Lily said that Joseph is a knight and Evelyn is a knave. Olivia told you that If Jack is a knight then Sebastian is a knave. In a statement by Evelyn: \"Jack is a knight or Lily is a knight\". \"Evelyn is a knight if and only if Olivia is a knave,\" David claimed. \"If Evelyn is a knave then Lily is a knave,\" Sebastian claimed. In a statement by Joseph: \"Sebastian is not a knight\". \"Sebastian is not a knight,\" Jack mentioned. So who is a knight and who is a knave?", "names": ["Lily", "Olivia", "Evelyn", "David", "Sebastian", "Joseph", "Jack"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true, true, false, false], "solution_text": "Lily is a knave, Olivia is a knight, Evelyn is a knave, David is a knight, Sebastian is a knight, Joseph is a knave, and Jack is a knave.", "solution_text_format": "(1) Lily is a knave\n(2) Olivia is a knight\n(3) Evelyn is a knave\n(4) David is a knight\n(5) Sebastian is a knight\n(6) Joseph is a knave\n(7) Jack is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Lily is a knight. No contradiction is found in their claim that Joseph is a knight and Evelyn is a knave.", "Assume Joseph is a knight. No contradiction is found in their claim that Sebastian is not a knight.", "Sebastian cannot be a knight, because this would contradict the claim of Joseph that Sebastian is not a knight.", "Assume Sebastian is a knave. No contradiction is found in their false claim that If Evelyn is a knave then Lily is a knave.", "Evelyn cannot be a knight, because this would contradict the claim of Lily that Joseph is a knight and Evelyn is a knave.", "Evelyn cannot be a knave, because this would contradict the false claim of their own that Jack is a knight or Lily is a knight.", "We have exhausted all possibilities for Evelyn and Sebastian, so let us go back and reconsider Joseph.", "Joseph cannot be a knave, because this would contradict the claim of Lily that Joseph is a knight and Evelyn is a knave.", "We have exhausted all possibilities for Joseph, so let us go back and reconsider Lily.", "Assume Lily is a knave. No contradiction is found in their false claim that Joseph is a knight and Evelyn is a knave.", "Assume Joseph is a knight. No contradiction is found in their claim that Sebastian is not a knight.", "Sebastian cannot be a knight, because this would contradict the claim of Joseph that Sebastian is not a knight.", "Sebastian cannot be a knave, because this would contradict the false claim of their own that If Evelyn is a knave then Lily is a knave.", "We have exhausted all possibilities for Sebastian, so let us go back and reconsider Joseph.", "Assume Joseph is a knave. No contradiction is found in their false claim that Sebastian is not a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that If Evelyn is a knave then Lily is a knave.", "Assume Evelyn is a knight. No contradiction is found in their claim that Jack is a knight or Lily is a knight.", "Jack cannot be a knight, because this would contradict the claim of their own that Sebastian is not a knight.", "Jack cannot be a knave, because this would contradict the claim of Evelyn that Jack is a knight or Lily is a knight.", "We have exhausted all possibilities for Jack, so let us go back and reconsider Evelyn.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Jack is a knight or Lily is a knight.", "Jack cannot be a knight, because this would contradict the false claim of Evelyn that Jack is a knight or Lily is a knight.", "Assume Jack is a knave. No contradiction is found in their false claim that Sebastian is not a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that If Jack is a knight then Sebastian is a knave.", "Assume David is a knight. No contradiction is found in their claim that Evelyn is a knight if and only if Olivia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 5), ('lying', 2)), ('->', ('telling-truth', 6), ('lying', 4)), ('or', ('telling-truth', 6), ('telling-truth', 0)), ('<=>', ('telling-truth', 2), ('lying', 1)), ('->', ('lying', 2), ('lying', 0)), ('not', ('telling-truth', 4)), ('not', ('telling-truth', 4)))", "index": 697}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Owen, Abigail, David, Mia, Lucas, Aurora, and Luke. In a statement by Owen: \"Abigail is a knight if and only if David is a knight\". \"Aurora is a knave or Mia is a knave,\" Abigail claimed. David told you that Luke is a knight if and only if Luke is a knave. \"Lucas is a knight and Lucas is a knave,\" Mia claimed. Lucas commented, \"Mia is a knight or David is a knight\". Aurora remarked, \"David is not a knave\". Luke stated, \"Abigail is a knight if and only if Owen is a knight\". So who is a knight and who is a knave?", "names": ["Owen", "Abigail", "David", "Mia", "Lucas", "Aurora", "Luke"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false, false, false, false], "solution_text": "Owen is a knave, Abigail is a knight, David is a knave, Mia is a knave, Lucas is a knave, Aurora is a knave, and Luke is a knave.", "solution_text_format": "(1) Owen is a knave\n(2) Abigail is a knight\n(3) David is a knave\n(4) Mia is a knave\n(5) Lucas is a knave\n(6) Aurora is a knave\n(7) Luke is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Owen is a knight. No contradiction is found in their claim that Abigail is a knight if and only if David is a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that Aurora is a knave or Mia is a knave.", "Assume Aurora is a knight. No contradiction is found in their claim that David is not a knave.", "David cannot be a knight, because this would contradict the claim of their own that Luke is a knight if and only if Luke is a knave.", "David cannot be a knave, because this would contradict the claim of Owen that Abigail is a knight if and only if David is a knight.", "We have exhausted all possibilities for David, so let us go back and reconsider Aurora.", "Assume Aurora is a knave. No contradiction is found in their false claim that David is not a knave.", "David cannot be a knight, because this would contradict the claim of their own that Luke is a knight if and only if Luke is a knave.", "David cannot be a knave, because this would contradict the claim of Owen that Abigail is a knight if and only if David is a knight.", "We have exhausted all possibilities for David and Aurora, so let us go back and reconsider Abigail.", "Assume Abigail is a knave. No contradiction is found in their false claim that Aurora is a knave or Mia is a knave.", "Assume Aurora is a knight. No contradiction is found in their claim that David is not a knave.", "David cannot be a knight, because this would contradict the claim of Owen that Abigail is a knight if and only if David is a knight.", "David cannot be a knave, because this would contradict the claim of Aurora that David is not a knave.", "We have exhausted all possibilities for David, so let us go back and reconsider Aurora.", "Aurora cannot be a knave, because this would contradict the false claim of Abigail that Aurora is a knave or Mia is a knave.", "We have exhausted all possibilities for Aurora and Abigail, so let us go back and reconsider Owen.", "Assume Owen is a knave. No contradiction is found in their false claim that Abigail is a knight if and only if David is a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that Aurora is a knave or Mia is a knave.", "Assume Aurora is a knight. No contradiction is found in their claim that David is not a knave.", "David cannot be a knight, because this would contradict the false claim of Owen that Abigail is a knight if and only if David is a knight.", "David cannot be a knave, because this would contradict the claim of Aurora that David is not a knave.", "We have exhausted all possibilities for David, so let us go back and reconsider Aurora.", "Assume Aurora is a knave. No contradiction is found in their false claim that David is not a knave.", "David cannot be a knight, because this would contradict the false claim of Owen that Abigail is a knight if and only if David is a knight.", "Assume David is a knave. No contradiction is found in their false claim that Luke is a knight if and only if Luke is a knave.", "Luke cannot be a knight, because this would contradict the claim of their own that Abigail is a knight if and only if Owen is a knight.", "Assume Luke is a knave. No contradiction is found in their false claim that Abigail is a knight if and only if Owen is a knight.", "Mia cannot be a knight, because this would contradict the claim of their own that Lucas is a knight and Lucas is a knave.", "Assume Mia is a knave. No contradiction is found in their false claim that Lucas is a knight and Lucas is a knave.", "Lucas cannot be a knight, because this would contradict the claim of their own that Mia is a knight or David is a knight.", "Assume Lucas is a knave. No contradiction is found in their false claim that Mia is a knight or David is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('telling-truth', 2)), ('or', ('lying', 5), ('lying', 3)), ('<=>', ('telling-truth', 6), ('lying', 6)), ('and', ('telling-truth', 4), ('lying', 4)), ('or', ('telling-truth', 3), ('telling-truth', 2)), ('not', ('lying', 2)), ('<=>', ('telling-truth', 1), ('telling-truth', 0)))", "index": 698}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Sophia, Alexander, Joseph, Mason, Aria, James, and Zoey. \"Zoey is a knight,\" Sophia declared. \"If Aria is a knave then Zoey is a knave,\" Alexander declared. As Joseph put it, \"Alexander is a knight\". In a statement by Mason: \"Zoey is not a knave\". According to Aria, \"Joseph is a knight and Zoey is a knave\". James expressed that Joseph is a knight and Zoey is a knight. Zoey asserted: \"Mason is a knave and Zoey is a knight\". So who is a knight and who is a knave?", "names": ["Sophia", "Alexander", "Joseph", "Mason", "Aria", "James", "Zoey"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false, true, false, false], "solution_text": "Sophia is a knave, Alexander is a knight, Joseph is a knight, Mason is a knave, Aria is a knight, James is a knave, and Zoey is a knave.", "solution_text_format": "(1) Sophia is a knave\n(2) Alexander is a knight\n(3) Joseph is a knight\n(4) Mason is a knave\n(5) Aria is a knight\n(6) James is a knave\n(7) Zoey is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sophia is a knight. No contradiction is found in their claim that Zoey is a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that Mason is a knave and Zoey is a knight.", "Mason cannot be a knight, because this would contradict the claim of Zoey that Mason is a knave and Zoey is a knight.", "Mason cannot be a knave, because this would contradict the false claim of their own that Zoey is not a knave.", "We have exhausted all possibilities for Mason, so let us go back and reconsider Zoey.", "Zoey cannot be a knave, because this would contradict the claim of Sophia that Zoey is a knight.", "We have exhausted all possibilities for Zoey, so let us go back and reconsider Sophia.", "Assume Sophia is a knave. No contradiction is found in their false claim that Zoey is a knight.", "Zoey cannot be a knight, because this would contradict the false claim of Sophia that Zoey is a knight.", "Assume Zoey is a knave. No contradiction is found in their false claim that Mason is a knave and Zoey is a knight.", "Mason cannot be a knight, because this would contradict the claim of their own that Zoey is not a knave.", "Assume Mason is a knave. No contradiction is found in their false claim that Zoey is not a knave.", "Assume Alexander is a knight. No contradiction is found in their claim that If Aria is a knave then Zoey is a knave.", "Assume Aria is a knight. No contradiction is found in their claim that Joseph is a knight and Zoey is a knave.", "Assume Joseph is a knight. No contradiction is found in their claim that Alexander is a knight.", "James cannot be a knight, because this would contradict the claim of their own that Joseph is a knight and Zoey is a knight.", "Assume James is a knave. No contradiction is found in their false claim that Joseph is a knight and Zoey is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 6), ('->', ('lying', 4), ('lying', 6)), ('telling-truth', 1), ('not', ('lying', 6)), ('and', ('telling-truth', 2), ('lying', 6)), ('and', ('telling-truth', 2), ('telling-truth', 6)), ('and', ('lying', 3), ('telling-truth', 6)))", "index": 699}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Luke, Isabella, Samuel, Ava, Daniel, Mia, and Owen. Luke noted, \"Mia is a knight or Ava is a knight\". Isabella stated, \"Luke is a knave\". Samuel said, \"Mia is a knave if and only if Isabella is a knave.\" According to Ava, \"Samuel is a knight and Luke is a knave\". \"Luke is a knave and Ava is a knave,\" Daniel mentioned. According to Mia, \"Mia is a knight and Isabella is a knight\". In Owen's words: \"Isabella is a knight if and only if Ava is a knave\". So who is a knight and who is a knave?", "names": ["Luke", "Isabella", "Samuel", "Ava", "Daniel", "Mia", "Owen"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false, true, false, true], "solution_text": "Luke is a knave, Isabella is a knight, Samuel is a knave, Ava is a knave, Daniel is a knight, Mia is a knave, and Owen is a knight.", "solution_text_format": "(1) Luke is a knave\n(2) Isabella is a knight\n(3) Samuel is a knave\n(4) Ava is a knave\n(5) Daniel is a knight\n(6) Mia is a knave\n(7) Owen is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Luke is a knight. No contradiction is found in their claim that Mia is a knight or Ava is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that Mia is a knight and Isabella is a knight.", "Isabella cannot be a knight, because this would contradict the claim of their own that Luke is a knave.", "Isabella cannot be a knave, because this would contradict the claim of Mia that Mia is a knight and Isabella is a knight.", "We have exhausted all possibilities for Isabella, so let us go back and reconsider Mia.", "Assume Mia is a knave. No contradiction is found in their false claim that Mia is a knight and Isabella is a knight.", "Isabella cannot be a knight, because this would contradict the claim of their own that Luke is a knave.", "Assume Isabella is a knave. No contradiction is found in their false claim that Luke is a knave.", "Ava cannot be a knight, because this would contradict the claim of their own that Samuel is a knight and Luke is a knave.", "Ava cannot be a knave, because this would contradict the claim of Luke that Mia is a knight or Ava is a knight.", "We have exhausted all possibilities for Ava, Isabella, and Mia, so let us go back and reconsider Luke.", "Assume Luke is a knave. No contradiction is found in their false claim that Mia is a knight or Ava is a knight.", "Mia cannot be a knight, because this would contradict the false claim of Luke that Mia is a knight or Ava is a knight.", "Assume Mia is a knave. No contradiction is found in their false claim that Mia is a knight and Isabella is a knight.", "Assume Isabella is a knight. No contradiction is found in their claim that Luke is a knave.", "Ava cannot be a knight, because this would contradict the false claim of Luke that Mia is a knight or Ava is a knight.", "Assume Ava is a knave. No contradiction is found in their false claim that Samuel is a knight and Luke is a knave.", "Samuel cannot be a knight, because this would contradict the claim of their own that Mia is a knave if and only if Isabella is a knave.", "Assume Samuel is a knave. No contradiction is found in their false claim that Mia is a knave if and only if Isabella is a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that Luke is a knave and Ava is a knave.", "Assume Owen is a knight. No contradiction is found in their claim that Isabella is a knight if and only if Ava is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 5), ('telling-truth', 3)), ('lying', 0), ('<=>', ('lying', 5), ('lying', 1)), ('and', ('telling-truth', 2), ('lying', 0)), ('and', ('lying', 0), ('lying', 3)), ('and', ('telling-truth', 5), ('telling-truth', 1)), ('<=>', ('telling-truth', 1), ('lying', 3)))", "index": 700}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Alexander, Samuel, Sebastian, Mia, Charlotte, Victoria, and Avery. \"Samuel is a knave\" - Alexander. Samuel told you that Avery is a knave. Sebastian was heard saying, \"If Mia is a knight then Victoria is a knight\". \"If Charlotte is a knave then Sebastian is a knave,\" Mia declared. Charlotte remarked, \"Alexander is a knave and Avery is a knight\". In Victoria's words: \"If Avery is a knave then Charlotte is a knave\". In Avery's words: \"Sebastian is a knave\". So who is a knight and who is a knave?", "names": ["Alexander", "Samuel", "Sebastian", "Mia", "Charlotte", "Victoria", "Avery"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false, false, true, false], "solution_text": "Alexander is a knave, Samuel is a knight, Sebastian is a knight, Mia is a knave, Charlotte is a knave, Victoria is a knight, and Avery is a knave.", "solution_text_format": "(1) Alexander is a knave\n(2) Samuel is a knight\n(3) Sebastian is a knight\n(4) Mia is a knave\n(5) Charlotte is a knave\n(6) Victoria is a knight\n(7) Avery is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Alexander is a knight. No contradiction is found in their claim that Samuel is a knave.", "Samuel cannot be a knight, because this would contradict the claim of Alexander that Samuel is a knave.", "Assume Samuel is a knave. No contradiction is found in their false claim that Avery is a knave.", "Assume Avery is a knight. No contradiction is found in their claim that Sebastian is a knave.", "Sebastian cannot be a knight, because this would contradict the claim of Avery that Sebastian is a knave.", "Assume Sebastian is a knave. No contradiction is found in their false claim that If Mia is a knight then Victoria is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that If Charlotte is a knave then Sebastian is a knave.", "Charlotte cannot be a knight, because this would contradict the claim of their own that Alexander is a knave and Avery is a knight.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Alexander is a knave and Avery is a knight.", "Victoria cannot be a knight, because this would contradict the false claim of Sebastian that If Mia is a knight then Victoria is a knight.", "Victoria cannot be a knave, because this would contradict the false claim of their own that If Avery is a knave then Charlotte is a knave.", "We have exhausted all possibilities for Victoria and Charlotte, so let us go back and reconsider Mia.", "Mia cannot be a knave, because this would contradict the false claim of Sebastian that If Mia is a knight then Victoria is a knight.", "We have exhausted all possibilities for Mia and Sebastian, so let us go back and reconsider Avery.", "Avery cannot be a knave, because this would contradict the false claim of Samuel that Avery is a knave.", "We have exhausted all possibilities for Avery and Samuel, so let us go back and reconsider Alexander.", "Assume Alexander is a knave. No contradiction is found in their false claim that Samuel is a knave.", "Assume Samuel is a knight. No contradiction is found in their claim that Avery is a knave.", "Avery cannot be a knight, because this would contradict the claim of Samuel that Avery is a knave.", "Assume Avery is a knave. No contradiction is found in their false claim that Sebastian is a knave.", "Assume Sebastian is a knight. No contradiction is found in their claim that If Mia is a knight then Victoria is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that If Charlotte is a knave then Sebastian is a knave.", "Charlotte cannot be a knight, because this would contradict the claim of their own that Alexander is a knave and Avery is a knight.", "Charlotte cannot be a knave, because this would contradict the claim of Mia that If Charlotte is a knave then Sebastian is a knave.", "We have exhausted all possibilities for Charlotte, so let us go back and reconsider Mia.", "Assume Mia is a knave. No contradiction is found in their false claim that If Charlotte is a knave then Sebastian is a knave.", "Charlotte cannot be a knight, because this would contradict the false claim of Mia that If Charlotte is a knave then Sebastian is a knave.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Alexander is a knave and Avery is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that If Avery is a knave then Charlotte is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('lying', 6), ('->', ('telling-truth', 3), ('telling-truth', 5)), ('->', ('lying', 4), ('lying', 2)), ('and', ('lying', 0), ('telling-truth', 6)), ('->', ('lying', 6), ('lying', 4)), ('lying', 2))", "index": 701}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Isabella, Sophia, Mia, Emma, Lucas, Ethan, and Sofia. \"Ethan is a knight or Sofia is a knight,\" Isabella mentioned. Sophia noted, \"Lucas is a knight or Sofia is a knave\". Mia commented, \"Sofia is a knave if and only if Lucas is a knave\". According to Emma, \"Ethan is not a knight\". Lucas noted, \"Sophia is a knave or Sofia is a knight\". In Ethan's words: \"Sofia is not a knave\". Sofia commented, \"Lucas is a knight if and only if Sofia is a knight\". So who is a knight and who is a knave?", "names": ["Isabella", "Sophia", "Mia", "Emma", "Lucas", "Ethan", "Sofia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false, true, true, true], "solution_text": "Isabella is a knight, Sophia is a knight, Mia is a knight, Emma is a knave, Lucas is a knight, Ethan is a knight, and Sofia is a knight.", "solution_text_format": "(1) Isabella is a knight\n(2) Sophia is a knight\n(3) Mia is a knight\n(4) Emma is a knave\n(5) Lucas is a knight\n(6) Ethan is a knight\n(7) Sofia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Isabella is a knight. No contradiction is found in their claim that Ethan is a knight or Sofia is a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that Sofia is not a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that Lucas is a knight if and only if Sofia is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that Sophia is a knave or Sofia is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that Lucas is a knight or Sofia is a knave.", "Assume Mia is a knight. No contradiction is found in their claim that Sofia is a knave if and only if Lucas is a knave.", "Emma cannot be a knight, because this would contradict the claim of their own that Ethan is not a knight.", "Assume Emma is a knave. No contradiction is found in their false claim that Ethan is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 5), ('telling-truth', 6)), ('or', ('telling-truth', 4), ('lying', 6)), ('<=>', ('lying', 6), ('lying', 4)), ('not', ('telling-truth', 5)), ('or', ('lying', 1), ('telling-truth', 6)), ('not', ('lying', 6)), ('<=>', ('telling-truth', 4), ('telling-truth', 6)))", "index": 702}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Chloe, Logan, Luke, Ethan, Penelope, Jack, and James. Chloe commented, \"Jack is a knave and Luke is a knave\". In a statement by Logan: \"Luke is not a knave\". In Luke's words: \"Jack is not a knave\". Ethan told you that Luke is a knight. Penelope told you that James is a knight if and only if Luke is a knave. As Jack put it, \"If Luke is a knight then James is a knight\". In a statement by James: \"Luke is a knave or Luke is a knight\". So who is a knight and who is a knave?", "names": ["Chloe", "Logan", "Luke", "Ethan", "Penelope", "Jack", "James"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, false, true, true], "solution_text": "Chloe is a knave, Logan is a knight, Luke is a knight, Ethan is a knight, Penelope is a knave, Jack is a knight, and James is a knight.", "solution_text_format": "(1) Chloe is a knave\n(2) Logan is a knight\n(3) Luke is a knight\n(4) Ethan is a knight\n(5) Penelope is a knave\n(6) Jack is a knight\n(7) James is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Chloe is a knight. No contradiction is found in their claim that Jack is a knave and Luke is a knave.", "Jack cannot be a knight, because this would contradict the claim of Chloe that Jack is a knave and Luke is a knave.", "Assume Jack is a knave. No contradiction is found in their false claim that If Luke is a knight then James is a knight.", "Luke cannot be a knight, because this would contradict the claim of Chloe that Jack is a knave and Luke is a knave.", "Luke cannot be a knave, because this would contradict the false claim of Jack that If Luke is a knight then James is a knight.", "We have exhausted all possibilities for Luke and Jack, so let us go back and reconsider Chloe.", "Assume Chloe is a knave. No contradiction is found in their false claim that Jack is a knave and Luke is a knave.", "Assume Jack is a knight. No contradiction is found in their claim that If Luke is a knight then James is a knight.", "Assume Luke is a knight. No contradiction is found in their claim that Jack is not a knave.", "Assume James is a knight. No contradiction is found in their claim that Luke is a knave or Luke is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that Luke is not a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that Luke is a knight.", "Penelope cannot be a knight, because this would contradict the claim of their own that James is a knight if and only if Luke is a knave.", "Assume Penelope is a knave. No contradiction is found in their false claim that James is a knight if and only if Luke is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 5), ('lying', 2)), ('not', ('lying', 2)), ('not', ('lying', 5)), ('telling-truth', 2), ('<=>', ('telling-truth', 6), ('lying', 2)), ('->', ('telling-truth', 2), ('telling-truth', 6)), ('or', ('lying', 2), ('telling-truth', 2)))", "index": 703}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Owen, Emma, David, Aiden, Matthew, Avery, and Victoria. \"Victoria is not a knave\" - Owen. Emma noted, \"Victoria is not a knave\". David remarked, \"Emma is a knight\". Aiden stated, \"Avery is a knave and Matthew is a knave\". Matthew was heard saying, \"Emma is a knave if and only if Matthew is a knight\". \"Matthew is not a knave,\" Avery claimed. Victoria told you that Victoria is a knight or Aiden is a knave. So who is a knight and who is a knave?", "names": ["Owen", "Emma", "David", "Aiden", "Matthew", "Avery", "Victoria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true, false, false, false], "solution_text": "Owen is a knave, Emma is a knave, David is a knave, Aiden is a knight, Matthew is a knave, Avery is a knave, and Victoria is a knave.", "solution_text_format": "(1) Owen is a knave\n(2) Emma is a knave\n(3) David is a knave\n(4) Aiden is a knight\n(5) Matthew is a knave\n(6) Avery is a knave\n(7) Victoria is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Owen is a knight. No contradiction is found in their claim that Victoria is not a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that Victoria is a knight or Aiden is a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that Avery is a knave and Matthew is a knave.", "Avery cannot be a knight, because this would contradict the claim of Aiden that Avery is a knave and Matthew is a knave.", "Assume Avery is a knave. No contradiction is found in their false claim that Matthew is not a knave.", "Matthew cannot be a knight, because this would contradict the claim of Aiden that Avery is a knave and Matthew is a knave.", "Assume Matthew is a knave. No contradiction is found in their false claim that Emma is a knave if and only if Matthew is a knight.", "Emma cannot be a knight, because this would contradict the false claim of Matthew that Emma is a knave if and only if Matthew is a knight.", "Emma cannot be a knave, because this would contradict the false claim of their own that Victoria is not a knave.", "We have exhausted all possibilities for Emma, Matthew, and Avery, so let us go back and reconsider Aiden.", "Assume Aiden is a knave. No contradiction is found in their false claim that Avery is a knave and Matthew is a knave.", "Assume Avery is a knight. No contradiction is found in their claim that Matthew is not a knave.", "Assume Matthew is a knight. No contradiction is found in their claim that Emma is a knave if and only if Matthew is a knight.", "Emma cannot be a knight, because this would contradict the claim of Matthew that Emma is a knave if and only if Matthew is a knight.", "Emma cannot be a knave, because this would contradict the false claim of their own that Victoria is not a knave.", "We have exhausted all possibilities for Emma, so let us go back and reconsider Matthew.", "Matthew cannot be a knave, because this would contradict the claim of Avery that Matthew is not a knave.", "We have exhausted all possibilities for Matthew, so let us go back and reconsider Avery.", "Assume Avery is a knave. No contradiction is found in their false claim that Matthew is not a knave.", "Matthew cannot be a knight, because this would contradict the false claim of Avery that Matthew is not a knave.", "Matthew cannot be a knave, because this would contradict the false claim of Aiden that Avery is a knave and Matthew is a knave.", "We have exhausted all possibilities for Matthew, Avery, and Aiden, so let us go back and reconsider Victoria.", "Victoria cannot be a knave, because this would contradict the claim of Owen that Victoria is not a knave.", "We have exhausted all possibilities for Victoria, so let us go back and reconsider Owen.", "Assume Owen is a knave. No contradiction is found in their false claim that Victoria is not a knave.", "Victoria cannot be a knight, because this would contradict the false claim of Owen that Victoria is not a knave.", "Assume Victoria is a knave. No contradiction is found in their false claim that Victoria is a knight or Aiden is a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that Avery is a knave and Matthew is a knave.", "Avery cannot be a knight, because this would contradict the claim of Aiden that Avery is a knave and Matthew is a knave.", "Assume Avery is a knave. No contradiction is found in their false claim that Matthew is not a knave.", "Matthew cannot be a knight, because this would contradict the claim of Aiden that Avery is a knave and Matthew is a knave.", "Assume Matthew is a knave. No contradiction is found in their false claim that Emma is a knave if and only if Matthew is a knight.", "Emma cannot be a knight, because this would contradict the claim of their own that Victoria is not a knave.", "Assume Emma is a knave. No contradiction is found in their false claim that Victoria is not a knave.", "David cannot be a knight, because this would contradict the claim of their own that Emma is a knight.", "Assume David is a knave. No contradiction is found in their false claim that Emma is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 6)), ('not', ('lying', 6)), ('telling-truth', 1), ('and', ('lying', 5), ('lying', 4)), ('<=>', ('lying', 1), ('telling-truth', 4)), ('not', ('lying', 4)), ('or', ('telling-truth', 6), ('lying', 3)))", "index": 704}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Liam, Ella, Samuel, Sophia, Owen, Evelyn, and Alexander. \"Sophia is a knave and Evelyn is a knave,\" Liam declared. Ella said, \"If Evelyn is a knave then Sophia is a knave.\" As Samuel put it, \"Alexander is a knave or Sophia is a knave\". Sophia expressed that Owen is a knight or Alexander is a knave. Owen said that Liam is a knight. Evelyn commented, \"Sophia is not a knight\". \"Samuel is a knave\" - Alexander. So who is a knight and who is a knave?", "names": ["Liam", "Ella", "Samuel", "Sophia", "Owen", "Evelyn", "Alexander"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true, false, false, false], "solution_text": "Liam is a knave, Ella is a knave, Samuel is a knight, Sophia is a knight, Owen is a knave, Evelyn is a knave, and Alexander is a knave.", "solution_text_format": "(1) Liam is a knave\n(2) Ella is a knave\n(3) Samuel is a knight\n(4) Sophia is a knight\n(5) Owen is a knave\n(6) Evelyn is a knave\n(7) Alexander is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Liam is a knight. No contradiction is found in their claim that Sophia is a knave and Evelyn is a knave.", "Sophia cannot be a knight, because this would contradict the claim of Liam that Sophia is a knave and Evelyn is a knave.", "Assume Sophia is a knave. No contradiction is found in their false claim that Owen is a knight or Alexander is a knave.", "Owen cannot be a knight, because this would contradict the false claim of Sophia that Owen is a knight or Alexander is a knave.", "Owen cannot be a knave, because this would contradict the false claim of their own that Liam is a knight.", "We have exhausted all possibilities for Owen and Sophia, so let us go back and reconsider Liam.", "Assume Liam is a knave. No contradiction is found in their false claim that Sophia is a knave and Evelyn is a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that Owen is a knight or Alexander is a knave.", "Owen cannot be a knight, because this would contradict the claim of their own that Liam is a knight.", "Assume Owen is a knave. No contradiction is found in their false claim that Liam is a knight.", "Alexander cannot be a knight, because this would contradict the claim of Sophia that Owen is a knight or Alexander is a knave.", "Assume Alexander is a knave. No contradiction is found in their false claim that Samuel is a knave.", "Assume Samuel is a knight. No contradiction is found in their claim that Alexander is a knave or Sophia is a knave.", "Evelyn cannot be a knight, because this would contradict the claim of their own that Sophia is not a knight.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Sophia is not a knight.", "Ella cannot be a knight, because this would contradict the claim of their own that If Evelyn is a knave then Sophia is a knave.", "Assume Ella is a knave. No contradiction is found in their false claim that If Evelyn is a knave then Sophia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 3), ('lying', 5)), ('->', ('lying', 5), ('lying', 3)), ('or', ('lying', 6), ('lying', 3)), ('or', ('telling-truth', 4), ('lying', 6)), ('telling-truth', 0), ('not', ('telling-truth', 3)), ('lying', 2))", "index": 705}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Ella, Michael, Samuel, Owen, Logan, Elizabeth, and William. \"Owen is a knave and Michael is a knight\" - Ella. \"Owen is a knight or Logan is a knave,\" Michael declared. Samuel asserted: \"Owen is a knave and Elizabeth is a knave\". \"Elizabeth is a knave if and only if Owen is a knight,\" Owen mentioned. \"Ella is not a knight,\" Logan claimed. Elizabeth remarked, \"Samuel is a knight or Ella is a knight\". William said, \"Logan is a knave if and only if Logan is a knight.\" So who is a knight and who is a knave?", "names": ["Ella", "Michael", "Samuel", "Owen", "Logan", "Elizabeth", "William"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true, true, false, false], "solution_text": "Ella is a knave, Michael is a knight, Samuel is a knave, Owen is a knight, Logan is a knight, Elizabeth is a knave, and William is a knave.", "solution_text_format": "(1) Ella is a knave\n(2) Michael is a knight\n(3) Samuel is a knave\n(4) Owen is a knight\n(5) Logan is a knight\n(6) Elizabeth is a knave\n(7) William is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ella is a knight. No contradiction is found in their claim that Owen is a knave and Michael is a knight.", "Owen cannot be a knight, because this would contradict the claim of Ella that Owen is a knave and Michael is a knight.", "Assume Owen is a knave. No contradiction is found in their false claim that Elizabeth is a knave if and only if Owen is a knight.", "Elizabeth cannot be a knight, because this would contradict the false claim of Owen that Elizabeth is a knave if and only if Owen is a knight.", "Elizabeth cannot be a knave, because this would contradict the false claim of their own that Samuel is a knight or Ella is a knight.", "We have exhausted all possibilities for Elizabeth and Owen, so let us go back and reconsider Ella.", "Assume Ella is a knave. No contradiction is found in their false claim that Owen is a knave and Michael is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that Elizabeth is a knave if and only if Owen is a knight.", "Elizabeth cannot be a knight, because this would contradict the claim of Owen that Elizabeth is a knave if and only if Owen is a knight.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Samuel is a knight or Ella is a knight.", "Samuel cannot be a knight, because this would contradict the claim of their own that Owen is a knave and Elizabeth is a knave.", "Assume Samuel is a knave. No contradiction is found in their false claim that Owen is a knave and Elizabeth is a knave.", "Assume Michael is a knight. No contradiction is found in their claim that Owen is a knight or Logan is a knave.", "Assume Logan is a knight. No contradiction is found in their claim that Ella is not a knight.", "William cannot be a knight, because this would contradict the claim of their own that Logan is a knave if and only if Logan is a knight.", "Assume William is a knave. No contradiction is found in their false claim that Logan is a knave if and only if Logan is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 3), ('telling-truth', 1)), ('or', ('telling-truth', 3), ('lying', 4)), ('and', ('lying', 3), ('lying', 5)), ('<=>', ('lying', 5), ('telling-truth', 3)), ('not', ('telling-truth', 0)), ('or', ('telling-truth', 2), ('telling-truth', 0)), ('<=>', ('lying', 4), ('telling-truth', 4)))", "index": 706}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Oliver, Daniel, David, Jackson, Victoria, Sofia, and Aiden. Oliver noted, \"Daniel is not a knave\". Daniel asserted: \"Victoria is a knave\". \"Victoria is not a knight,\" David mentioned. As Jackson put it, \"If Oliver is a knave then Aiden is a knave\". Victoria asserted: \"Aiden is not a knave\". Sofia remarked, \"Victoria is not a knight\". Aiden commented, \"David is a knave or Daniel is a knight\". So who is a knight and who is a knave?", "names": ["Oliver", "Daniel", "David", "Jackson", "Victoria", "Sofia", "Aiden"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, false, true, false, true], "solution_text": "Oliver is a knave, Daniel is a knave, David is a knave, Jackson is a knave, Victoria is a knight, Sofia is a knave, and Aiden is a knight.", "solution_text_format": "(1) Oliver is a knave\n(2) Daniel is a knave\n(3) David is a knave\n(4) Jackson is a knave\n(5) Victoria is a knight\n(6) Sofia is a knave\n(7) Aiden is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Oliver is a knight. No contradiction is found in their claim that Daniel is not a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that Victoria is a knave.", "Victoria cannot be a knight, because this would contradict the claim of Daniel that Victoria is a knave.", "Assume Victoria is a knave. No contradiction is found in their false claim that Aiden is not a knave.", "Aiden cannot be a knight, because this would contradict the false claim of Victoria that Aiden is not a knave.", "Aiden cannot be a knave, because this would contradict the false claim of their own that David is a knave or Daniel is a knight.", "We have exhausted all possibilities for Aiden and Victoria, so let us go back and reconsider Daniel.", "Daniel cannot be a knave, because this would contradict the claim of Oliver that Daniel is not a knave.", "We have exhausted all possibilities for Daniel, so let us go back and reconsider Oliver.", "Assume Oliver is a knave. No contradiction is found in their false claim that Daniel is not a knave.", "Daniel cannot be a knight, because this would contradict the false claim of Oliver that Daniel is not a knave.", "Assume Daniel is a knave. No contradiction is found in their false claim that Victoria is a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that Aiden is not a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that David is a knave or Daniel is a knight.", "David cannot be a knight, because this would contradict the claim of their own that Victoria is not a knight.", "Assume David is a knave. No contradiction is found in their false claim that Victoria is not a knight.", "Jackson cannot be a knight, because this would contradict the claim of their own that If Oliver is a knave then Aiden is a knave.", "Assume Jackson is a knave. No contradiction is found in their false claim that If Oliver is a knave then Aiden is a knave.", "Sofia cannot be a knight, because this would contradict the claim of their own that Victoria is not a knight.", "Assume Sofia is a knave. No contradiction is found in their false claim that Victoria is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 1)), ('lying', 4), ('not', ('telling-truth', 4)), ('->', ('lying', 0), ('lying', 6)), ('not', ('lying', 6)), ('not', ('telling-truth', 4)), ('or', ('lying', 2), ('telling-truth', 1)))", "index": 707}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Harper, Liam, Benjamin, Abigail, Joseph, Michael, and Luke. Harper asserted: \"If Abigail is a knave then Abigail is a knight\". Liam commented, \"Harper is not a knight\". Benjamin commented, \"Michael is a knight and Luke is a knave\". According to Abigail, \"If Abigail is a knight then Michael is a knave\". \"Benjamin is a knight or Harper is a knight,\" Joseph mentioned. Michael said, \"Abigail is a knight and Benjamin is a knight.\" \"Abigail is a knight and Michael is a knave,\" Luke declared. So who is a knight and who is a knave?", "names": ["Harper", "Liam", "Benjamin", "Abigail", "Joseph", "Michael", "Luke"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, true, false, true], "solution_text": "Harper is a knight, Liam is a knave, Benjamin is a knave, Abigail is a knight, Joseph is a knight, Michael is a knave, and Luke is a knight.", "solution_text_format": "(1) Harper is a knight\n(2) Liam is a knave\n(3) Benjamin is a knave\n(4) Abigail is a knight\n(5) Joseph is a knight\n(6) Michael is a knave\n(7) Luke is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Harper is a knight. No contradiction is found in their claim that If Abigail is a knave then Abigail is a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that If Abigail is a knight then Michael is a knave.", "Michael cannot be a knight, because this would contradict the claim of Abigail that If Abigail is a knight then Michael is a knave.", "Assume Michael is a knave. No contradiction is found in their false claim that Abigail is a knight and Benjamin is a knight.", "Benjamin cannot be a knight, because this would contradict the claim of their own that Michael is a knight and Luke is a knave.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Michael is a knight and Luke is a knave.", "Assume Luke is a knight. No contradiction is found in their claim that Abigail is a knight and Michael is a knave.", "Liam cannot be a knight, because this would contradict the claim of their own that Harper is not a knight.", "Assume Liam is a knave. No contradiction is found in their false claim that Harper is not a knight.", "Assume Joseph is a knight. No contradiction is found in their claim that Benjamin is a knight or Harper is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 3), ('telling-truth', 3)), ('not', ('telling-truth', 0)), ('and', ('telling-truth', 5), ('lying', 6)), ('->', ('telling-truth', 3), ('lying', 5)), ('or', ('telling-truth', 2), ('telling-truth', 0)), ('and', ('telling-truth', 3), ('telling-truth', 2)), ('and', ('telling-truth', 3), ('lying', 5)))", "index": 708}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Emma, James, Grace, Penelope, Scarlett, Harper, and Noah. Emma said that Penelope is a knight or Harper is a knight. According to James, \"Noah is a knight\". \"If James is a knave then Scarlett is a knave,\" Grace mentioned. Penelope expressed that Emma is a knight if and only if Harper is a knight. Scarlett said that Harper is a knave if and only if Penelope is a knave. Harper said, \"Noah is not a knight.\" Noah said that James is not a knave. So who is a knight and who is a knave?", "names": ["Emma", "James", "Grace", "Penelope", "Scarlett", "Harper", "Noah"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, true, true, false], "solution_text": "Emma is a knight, James is a knave, Grace is a knave, Penelope is a knight, Scarlett is a knight, Harper is a knight, and Noah is a knave.", "solution_text_format": "(1) Emma is a knight\n(2) James is a knave\n(3) Grace is a knave\n(4) Penelope is a knight\n(5) Scarlett is a knight\n(6) Harper is a knight\n(7) Noah is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Emma is a knight. No contradiction is found in their claim that Penelope is a knight or Harper is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that Emma is a knight if and only if Harper is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that Noah is not a knight.", "Noah cannot be a knight, because this would contradict the claim of Harper that Noah is not a knight.", "Assume Noah is a knave. No contradiction is found in their false claim that James is not a knave.", "James cannot be a knight, because this would contradict the claim of their own that Noah is a knight.", "Assume James is a knave. No contradiction is found in their false claim that Noah is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that If James is a knave then Scarlett is a knave.", "Scarlett cannot be a knight, because this would contradict the claim of Grace that If James is a knave then Scarlett is a knave.", "Scarlett cannot be a knave, because this would contradict the false claim of their own that Harper is a knave if and only if Penelope is a knave.", "We have exhausted all possibilities for Scarlett, so let us go back and reconsider Grace.", "Assume Grace is a knave. No contradiction is found in their false claim that If James is a knave then Scarlett is a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that Harper is a knave if and only if Penelope is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 3), ('telling-truth', 5)), ('telling-truth', 6), ('->', ('lying', 1), ('lying', 4)), ('<=>', ('telling-truth', 0), ('telling-truth', 5)), ('<=>', ('lying', 5), ('lying', 3)), ('not', ('telling-truth', 6)), ('not', ('lying', 1)))", "index": 709}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Isabella, Samuel, Aurora, Sebastian, Jackson, Olivia, and Amelia. Isabella commented, \"Aurora is a knave and Jackson is a knight\". In a statement by Samuel: \"Isabella is a knight and Sebastian is a knave\". \"If Amelia is a knave then Amelia is a knight,\" Aurora declared. \"Jackson is a knight and Amelia is a knave,\" Sebastian claimed. Jackson said, \"Sebastian is a knave and Sebastian is a knight.\" Olivia noted, \"Isabella is a knave or Samuel is a knave\". Amelia said, \"Isabella is not a knight.\" So who is a knight and who is a knave?", "names": ["Isabella", "Samuel", "Aurora", "Sebastian", "Jackson", "Olivia", "Amelia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false, false, true, true], "solution_text": "Isabella is a knave, Samuel is a knave, Aurora is a knight, Sebastian is a knave, Jackson is a knave, Olivia is a knight, and Amelia is a knight.", "solution_text_format": "(1) Isabella is a knave\n(2) Samuel is a knave\n(3) Aurora is a knight\n(4) Sebastian is a knave\n(5) Jackson is a knave\n(6) Olivia is a knight\n(7) Amelia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Isabella is a knight. No contradiction is found in their claim that Aurora is a knave and Jackson is a knight.", "Aurora cannot be a knight, because this would contradict the claim of Isabella that Aurora is a knave and Jackson is a knight.", "Assume Aurora is a knave. No contradiction is found in their false claim that If Amelia is a knave then Amelia is a knight.", "Amelia cannot be a knight, because this would contradict the false claim of Aurora that If Amelia is a knave then Amelia is a knight.", "Assume Amelia is a knave. No contradiction is found in their false claim that Isabella is not a knight.", "Jackson cannot be a knight, because this would contradict the claim of their own that Sebastian is a knave and Sebastian is a knight.", "Jackson cannot be a knave, because this would contradict the claim of Isabella that Aurora is a knave and Jackson is a knight.", "We have exhausted all possibilities for Jackson, Amelia, and Aurora, so let us go back and reconsider Isabella.", "Assume Isabella is a knave. No contradiction is found in their false claim that Aurora is a knave and Jackson is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that If Amelia is a knave then Amelia is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that Isabella is not a knight.", "Jackson cannot be a knight, because this would contradict the claim of their own that Sebastian is a knave and Sebastian is a knight.", "Assume Jackson is a knave. No contradiction is found in their false claim that Sebastian is a knave and Sebastian is a knight.", "Sebastian cannot be a knight, because this would contradict the claim of their own that Jackson is a knight and Amelia is a knave.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Jackson is a knight and Amelia is a knave.", "Samuel cannot be a knight, because this would contradict the claim of their own that Isabella is a knight and Sebastian is a knave.", "Assume Samuel is a knave. No contradiction is found in their false claim that Isabella is a knight and Sebastian is a knave.", "Assume Olivia is a knight. No contradiction is found in their claim that Isabella is a knave or Samuel is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('telling-truth', 4)), ('and', ('telling-truth', 0), ('lying', 3)), ('->', ('lying', 6), ('telling-truth', 6)), ('and', ('telling-truth', 4), ('lying', 6)), ('and', ('lying', 3), ('telling-truth', 3)), ('or', ('lying', 0), ('lying', 1)), ('not', ('telling-truth', 0)))", "index": 710}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Riley, Scarlett, Luke, Sofia, Oliver, Emma, and Abigail. Riley stated, \"Luke is a knave or Oliver is a knave\". Scarlett said that Scarlett is a knight or Sofia is a knight. Luke told you that Emma is a knight and Abigail is a knave. \"Riley is a knight and Emma is a knave,\" Sofia mentioned. Oliver said that Emma is a knave and Riley is a knight. \"Luke is a knight if and only if Scarlett is a knave\" - Emma. In Abigail's words: \"If Sofia is a knight then Luke is a knave\". So who is a knight and who is a knave?", "names": ["Riley", "Scarlett", "Luke", "Sofia", "Oliver", "Emma", "Abigail"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false, false, true, true], "solution_text": "Riley is a knight, Scarlett is a knight, Luke is a knave, Sofia is a knave, Oliver is a knave, Emma is a knight, and Abigail is a knight.", "solution_text_format": "(1) Riley is a knight\n(2) Scarlett is a knight\n(3) Luke is a knave\n(4) Sofia is a knave\n(5) Oliver is a knave\n(6) Emma is a knight\n(7) Abigail is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Riley is a knight. No contradiction is found in their claim that Luke is a knave or Oliver is a knave.", "Assume Luke is a knight. No contradiction is found in their claim that Emma is a knight and Abigail is a knave.", "Assume Emma is a knight. No contradiction is found in their claim that Luke is a knight if and only if Scarlett is a knave.", "Scarlett cannot be a knight, because this would contradict the claim of Emma that Luke is a knight if and only if Scarlett is a knave.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Scarlett is a knight or Sofia is a knight.", "Sofia cannot be a knight, because this would contradict the false claim of Scarlett that Scarlett is a knight or Sofia is a knight.", "Assume Sofia is a knave. No contradiction is found in their false claim that Riley is a knight and Emma is a knave.", "Abigail cannot be a knight, because this would contradict the claim of Luke that Emma is a knight and Abigail is a knave.", "Abigail cannot be a knave, because this would contradict the false claim of their own that If Sofia is a knight then Luke is a knave.", "We have exhausted all possibilities for Abigail, Sofia, and Scarlett, so let us go back and reconsider Emma.", "Emma cannot be a knave, because this would contradict the claim of Luke that Emma is a knight and Abigail is a knave.", "We have exhausted all possibilities for Emma, so let us go back and reconsider Luke.", "Assume Luke is a knave. No contradiction is found in their false claim that Emma is a knight and Abigail is a knave.", "Assume Emma is a knight. No contradiction is found in their claim that Luke is a knight if and only if Scarlett is a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that Scarlett is a knight or Sofia is a knight.", "Sofia cannot be a knight, because this would contradict the claim of their own that Riley is a knight and Emma is a knave.", "Assume Sofia is a knave. No contradiction is found in their false claim that Riley is a knight and Emma is a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that If Sofia is a knight then Luke is a knave.", "Oliver cannot be a knight, because this would contradict the claim of their own that Emma is a knave and Riley is a knight.", "Assume Oliver is a knave. No contradiction is found in their false claim that Emma is a knave and Riley is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 2), ('lying', 4)), ('or', ('telling-truth', 1), ('telling-truth', 3)), ('and', ('telling-truth', 5), ('lying', 6)), ('and', ('telling-truth', 0), ('lying', 5)), ('and', ('lying', 5), ('telling-truth', 0)), ('<=>', ('telling-truth', 2), ('lying', 1)), ('->', ('telling-truth', 3), ('lying', 2)))", "index": 711}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Scarlett, Lucas, Michael, Matthew, Jacob, Harper, and Jack. Scarlett expressed that If Harper is a knight then Matthew is a knight. According to Lucas, \"Michael is not a knight\". Michael commented, \"Harper is not a knave\". According to Matthew, \"Harper is not a knave\". Jacob noted, \"Harper is a knight or Lucas is a knight\". Harper expressed that If Jack is a knave then Michael is a knave. In Jack's words: \"Lucas is a knave if and only if Jack is a knight\". So who is a knight and who is a knave?", "names": ["Scarlett", "Lucas", "Michael", "Matthew", "Jacob", "Harper", "Jack"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, true, true, true], "solution_text": "Scarlett is a knight, Lucas is a knave, Michael is a knight, Matthew is a knight, Jacob is a knight, Harper is a knight, and Jack is a knight.", "solution_text_format": "(1) Scarlett is a knight\n(2) Lucas is a knave\n(3) Michael is a knight\n(4) Matthew is a knight\n(5) Jacob is a knight\n(6) Harper is a knight\n(7) Jack is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Scarlett is a knight. No contradiction is found in their claim that If Harper is a knight then Matthew is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that If Jack is a knave then Michael is a knave.", "Assume Jack is a knight. No contradiction is found in their claim that Lucas is a knave if and only if Jack is a knight.", "Lucas cannot be a knight, because this would contradict the claim of Jack that Lucas is a knave if and only if Jack is a knight.", "Assume Lucas is a knave. No contradiction is found in their false claim that Michael is not a knight.", "Assume Michael is a knight. No contradiction is found in their claim that Harper is not a knave.", "Assume Matthew is a knight. No contradiction is found in their claim that Harper is not a knave.", "Assume Jacob is a knight. No contradiction is found in their claim that Harper is a knight or Lucas is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 5), ('telling-truth', 3)), ('not', ('telling-truth', 2)), ('not', ('lying', 5)), ('not', ('lying', 5)), ('or', ('telling-truth', 5), ('telling-truth', 1)), ('->', ('lying', 6), ('lying', 2)), ('<=>', ('lying', 1), ('telling-truth', 6)))", "index": 712}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Benjamin, Matthew, Daniel, Amelia, Sebastian, Emily, and Aiden. Benjamin stated, \"If Emily is a knight then Daniel is a knight\". Matthew said, \"Daniel is a knave.\" Daniel said that Emily is a knave and Amelia is a knight. Amelia said that Emily is a knave if and only if Benjamin is a knight. Sebastian expressed that Daniel is a knave. Emily asserted: \"Sebastian is a knave and Benjamin is a knave\". In a statement by Aiden: \"Matthew is a knight and Amelia is a knight\". So who is a knight and who is a knave?", "names": ["Benjamin", "Matthew", "Daniel", "Amelia", "Sebastian", "Emily", "Aiden"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, false, false, false], "solution_text": "Benjamin is a knight, Matthew is a knave, Daniel is a knight, Amelia is a knight, Sebastian is a knave, Emily is a knave, and Aiden is a knave.", "solution_text_format": "(1) Benjamin is a knight\n(2) Matthew is a knave\n(3) Daniel is a knight\n(4) Amelia is a knight\n(5) Sebastian is a knave\n(6) Emily is a knave\n(7) Aiden is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Benjamin is a knight. No contradiction is found in their claim that If Emily is a knight then Daniel is a knight.", "Emily cannot be a knight, because this would contradict the claim of their own that Sebastian is a knave and Benjamin is a knave.", "Assume Emily is a knave. No contradiction is found in their false claim that Sebastian is a knave and Benjamin is a knave.", "Assume Sebastian is a knight. No contradiction is found in their claim that Daniel is a knave.", "Daniel cannot be a knight, because this would contradict the claim of Sebastian that Daniel is a knave.", "Assume Daniel is a knave. No contradiction is found in their false claim that Emily is a knave and Amelia is a knight.", "Amelia cannot be a knight, because this would contradict the false claim of Daniel that Emily is a knave and Amelia is a knight.", "Amelia cannot be a knave, because this would contradict the false claim of their own that Emily is a knave if and only if Benjamin is a knight.", "We have exhausted all possibilities for Amelia and Daniel, so let us go back and reconsider Sebastian.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Daniel is a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that Emily is a knave and Amelia is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that Emily is a knave if and only if Benjamin is a knight.", "Matthew cannot be a knight, because this would contradict the claim of their own that Daniel is a knave.", "Assume Matthew is a knave. No contradiction is found in their false claim that Daniel is a knave.", "Aiden cannot be a knight, because this would contradict the claim of their own that Matthew is a knight and Amelia is a knight.", "Assume Aiden is a knave. No contradiction is found in their false claim that Matthew is a knight and Amelia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 5), ('telling-truth', 2)), ('lying', 2), ('and', ('lying', 5), ('telling-truth', 3)), ('<=>', ('lying', 5), ('telling-truth', 0)), ('lying', 2), ('and', ('lying', 4), ('lying', 0)), ('and', ('telling-truth', 1), ('telling-truth', 3)))", "index": 713}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Sebastian, Logan, Aiden, Liam, Lily, Oliver, and Sophia. Sebastian said, \"Oliver is a knave.\" Logan expressed that Sebastian is not a knave. According to Aiden, \"Lily is not a knave\". \"Sebastian is not a knave,\" Liam claimed. \"Sophia is a knight and Logan is a knight,\" Lily mentioned. Oliver told you that Liam is a knave and Aiden is a knave. Sophia commented, \"Aiden is a knave if and only if Liam is a knight\". So who is a knight and who is a knave?", "names": ["Sebastian", "Logan", "Aiden", "Liam", "Lily", "Oliver", "Sophia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, false, false, true, false], "solution_text": "Sebastian is a knave, Logan is a knave, Aiden is a knave, Liam is a knave, Lily is a knave, Oliver is a knight, and Sophia is a knave.", "solution_text_format": "(1) Sebastian is a knave\n(2) Logan is a knave\n(3) Aiden is a knave\n(4) Liam is a knave\n(5) Lily is a knave\n(6) Oliver is a knight\n(7) Sophia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sebastian is a knight. No contradiction is found in their claim that Oliver is a knave.", "Oliver cannot be a knight, because this would contradict the claim of Sebastian that Oliver is a knave.", "Assume Oliver is a knave. No contradiction is found in their false claim that Liam is a knave and Aiden is a knave.", "Assume Liam is a knight. No contradiction is found in their claim that Sebastian is not a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that Lily is not a knave.", "Assume Lily is a knight. No contradiction is found in their claim that Sophia is a knight and Logan is a knight.", "Sophia cannot be a knight, because this would contradict the claim of their own that Aiden is a knave if and only if Liam is a knight.", "Sophia cannot be a knave, because this would contradict the claim of Lily that Sophia is a knight and Logan is a knight.", "We have exhausted all possibilities for Sophia, so let us go back and reconsider Lily.", "Lily cannot be a knave, because this would contradict the claim of Aiden that Lily is not a knave.", "We have exhausted all possibilities for Lily, so let us go back and reconsider Aiden.", "Assume Aiden is a knave. No contradiction is found in their false claim that Lily is not a knave.", "Lily cannot be a knight, because this would contradict the false claim of Aiden that Lily is not a knave.", "Assume Lily is a knave. No contradiction is found in their false claim that Sophia is a knight and Logan is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that Aiden is a knave if and only if Liam is a knight.", "Logan cannot be a knight, because this would contradict the false claim of Lily that Sophia is a knight and Logan is a knight.", "Logan cannot be a knave, because this would contradict the false claim of their own that Sebastian is not a knave.", "We have exhausted all possibilities for Logan, so let us go back and reconsider Sophia.", "Sophia cannot be a knave, because this would contradict the false claim of their own that Aiden is a knave if and only if Liam is a knight.", "We have exhausted all possibilities for Sophia, Lily, and Aiden, so let us go back and reconsider Liam.", "Liam cannot be a knave, because this would contradict the false claim of their own that Sebastian is not a knave.", "We have exhausted all possibilities for Liam and Oliver, so let us go back and reconsider Sebastian.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Oliver is a knave.", "Assume Oliver is a knight. No contradiction is found in their claim that Liam is a knave and Aiden is a knave.", "Liam cannot be a knight, because this would contradict the claim of their own that Sebastian is not a knave.", "Assume Liam is a knave. No contradiction is found in their false claim that Sebastian is not a knave.", "Aiden cannot be a knight, because this would contradict the claim of Oliver that Liam is a knave and Aiden is a knave.", "Assume Aiden is a knave. No contradiction is found in their false claim that Lily is not a knave.", "Lily cannot be a knight, because this would contradict the false claim of Aiden that Lily is not a knave.", "Assume Lily is a knave. No contradiction is found in their false claim that Sophia is a knight and Logan is a knight.", "Sophia cannot be a knight, because this would contradict the claim of their own that Aiden is a knave if and only if Liam is a knight.", "Assume Sophia is a knave. No contradiction is found in their false claim that Aiden is a knave if and only if Liam is a knight.", "Logan cannot be a knight, because this would contradict the claim of their own that Sebastian is not a knave.", "Assume Logan is a knave. No contradiction is found in their false claim that Sebastian is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 5), ('not', ('lying', 0)), ('not', ('lying', 4)), ('not', ('lying', 0)), ('and', ('telling-truth', 6), ('telling-truth', 1)), ('and', ('lying', 3), ('lying', 2)), ('<=>', ('lying', 2), ('telling-truth', 3)))", "index": 714}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Victoria, Riley, Jack, Mason, Joseph, Grace, and Ethan. According to Victoria, \"Mason is a knight or Jack is a knave\". \"Jack is a knave or Grace is a knave,\" Riley mentioned. Jack said that Mason is a knight and Riley is a knight. In Mason's words: \"Grace is a knave\". Joseph said, \"Grace is a knight if and only if Jack is a knave.\" Grace remarked, \"If Joseph is a knave then Victoria is a knight\". \"Riley is a knave,\" Ethan declared. So who is a knight and who is a knave?", "names": ["Victoria", "Riley", "Jack", "Mason", "Joseph", "Grace", "Ethan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false, true, true, false], "solution_text": "Victoria is a knight, Riley is a knight, Jack is a knave, Mason is a knave, Joseph is a knight, Grace is a knight, and Ethan is a knave.", "solution_text_format": "(1) Victoria is a knight\n(2) Riley is a knight\n(3) Jack is a knave\n(4) Mason is a knave\n(5) Joseph is a knight\n(6) Grace is a knight\n(7) Ethan is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Victoria is a knight. No contradiction is found in their claim that Mason is a knight or Jack is a knave.", "Assume Mason is a knight. No contradiction is found in their claim that Grace is a knave.", "Grace cannot be a knight, because this would contradict the claim of Mason that Grace is a knave.", "Grace cannot be a knave, because this would contradict the false claim of their own that If Joseph is a knave then Victoria is a knight.", "We have exhausted all possibilities for Grace, so let us go back and reconsider Mason.", "Assume Mason is a knave. No contradiction is found in their false claim that Grace is a knave.", "Assume Grace is a knight. No contradiction is found in their claim that If Joseph is a knave then Victoria is a knight.", "Assume Joseph is a knight. No contradiction is found in their claim that Grace is a knight if and only if Jack is a knave.", "Jack cannot be a knight, because this would contradict the claim of Victoria that Mason is a knight or Jack is a knave.", "Assume Jack is a knave. No contradiction is found in their false claim that Mason is a knight and Riley is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that Jack is a knave or Grace is a knave.", "Ethan cannot be a knight, because this would contradict the claim of their own that Riley is a knave.", "Assume Ethan is a knave. No contradiction is found in their false claim that Riley is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 3), ('lying', 2)), ('or', ('lying', 2), ('lying', 5)), ('and', ('telling-truth', 3), ('telling-truth', 1)), ('lying', 5), ('<=>', ('telling-truth', 5), ('lying', 2)), ('->', ('lying', 4), ('telling-truth', 0)), ('lying', 1))", "index": 715}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Sebastian, Grace, Mia, Alexander, Ella, Aurora, and Harper. According to Sebastian, \"If Harper is a knave then Harper is a knight\". Grace said that Harper is a knight or Harper is a knave. \"Alexander is a knight or Ella is a knave,\" Mia claimed. According to Alexander, \"Aurora is a knight\". Ella was heard saying, \"Mia is a knave and Aurora is a knight\". \"If Harper is a knave then Harper is a knight,\" Aurora mentioned. In Harper's words: \"Ella is not a knight\". So who is a knight and who is a knave?", "names": ["Sebastian", "Grace", "Mia", "Alexander", "Ella", "Aurora", "Harper"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, false, true, true], "solution_text": "Sebastian is a knight, Grace is a knight, Mia is a knight, Alexander is a knight, Ella is a knave, Aurora is a knight, and Harper is a knight.", "solution_text_format": "(1) Sebastian is a knight\n(2) Grace is a knight\n(3) Mia is a knight\n(4) Alexander is a knight\n(5) Ella is a knave\n(6) Aurora is a knight\n(7) Harper is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sebastian is a knight. No contradiction is found in their claim that If Harper is a knave then Harper is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that Ella is not a knight.", "Ella cannot be a knight, because this would contradict the claim of Harper that Ella is not a knight.", "Assume Ella is a knave. No contradiction is found in their false claim that Mia is a knave and Aurora is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that Alexander is a knight or Ella is a knave.", "Assume Alexander is a knight. No contradiction is found in their claim that Aurora is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that If Harper is a knave then Harper is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that Harper is a knight or Harper is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 6), ('telling-truth', 6)), ('or', ('telling-truth', 6), ('lying', 6)), ('or', ('telling-truth', 3), ('lying', 4)), ('telling-truth', 5), ('and', ('lying', 2), ('telling-truth', 5)), ('->', ('lying', 6), ('telling-truth', 6)), ('not', ('telling-truth', 4)))", "index": 716}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Evelyn, Riley, Penelope, Jackson, Aurora, Aria, and Emily. Evelyn remarked, \"Jackson is a knight\". According to Riley, \"If Aria is a knave then Evelyn is a knave\". In Penelope's words: \"Jackson is a knight\". Jackson asserted: \"If Penelope is a knave then Riley is a knight\". As Aurora put it, \"Aria is a knight\". \"Emily is a knave if and only if Evelyn is a knight,\" Aria mentioned. As Emily put it, \"Riley is a knight and Aurora is a knave\". So who is a knight and who is a knave?", "names": ["Evelyn", "Riley", "Penelope", "Jackson", "Aurora", "Aria", "Emily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, true, true, false], "solution_text": "Evelyn is a knight, Riley is a knight, Penelope is a knight, Jackson is a knight, Aurora is a knight, Aria is a knight, and Emily is a knave.", "solution_text_format": "(1) Evelyn is a knight\n(2) Riley is a knight\n(3) Penelope is a knight\n(4) Jackson is a knight\n(5) Aurora is a knight\n(6) Aria is a knight\n(7) Emily is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Evelyn is a knight. No contradiction is found in their claim that Jackson is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that If Penelope is a knave then Riley is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that Jackson is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that If Aria is a knave then Evelyn is a knave.", "Assume Aria is a knight. No contradiction is found in their claim that Emily is a knave if and only if Evelyn is a knight.", "Emily cannot be a knight, because this would contradict the claim of Aria that Emily is a knave if and only if Evelyn is a knight.", "Assume Emily is a knave. No contradiction is found in their false claim that Riley is a knight and Aurora is a knave.", "Assume Aurora is a knight. No contradiction is found in their claim that Aria is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 3), ('->', ('lying', 5), ('lying', 0)), ('telling-truth', 3), ('->', ('lying', 2), ('telling-truth', 1)), ('telling-truth', 5), ('<=>', ('lying', 6), ('telling-truth', 0)), ('and', ('telling-truth', 1), ('lying', 4)))", "index": 717}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Sebastian, Aiden, William, Joseph, Jackson, Ava, and Riley. Sebastian asserted: \"Jackson is a knight if and only if Ava is a knave\". Aiden expressed that Joseph is a knave or Riley is a knave. William remarked, \"If Ava is a knight then Aiden is a knight\". \"Jackson is a knave,\" Joseph declared. Jackson remarked, \"Aiden is a knight and Sebastian is a knight\". \"Aiden is a knight and William is a knight,\" Ava mentioned. According to Riley, \"William is a knight and Aiden is a knave\". So who is a knight and who is a knave?", "names": ["Sebastian", "Aiden", "William", "Joseph", "Jackson", "Ava", "Riley"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true, false, false, true], "solution_text": "Sebastian is a knave, Aiden is a knave, William is a knight, Joseph is a knight, Jackson is a knave, Ava is a knave, and Riley is a knight.", "solution_text_format": "(1) Sebastian is a knave\n(2) Aiden is a knave\n(3) William is a knight\n(4) Joseph is a knight\n(5) Jackson is a knave\n(6) Ava is a knave\n(7) Riley is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sebastian is a knight. No contradiction is found in their claim that Jackson is a knight if and only if Ava is a knave.", "Assume Jackson is a knight. No contradiction is found in their claim that Aiden is a knight and Sebastian is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that Joseph is a knave or Riley is a knave.", "Joseph cannot be a knight, because this would contradict the claim of their own that Jackson is a knave.", "Assume Joseph is a knave. No contradiction is found in their false claim that Jackson is a knave.", "Riley cannot be a knight, because this would contradict the claim of their own that William is a knight and Aiden is a knave.", "Assume Riley is a knave. No contradiction is found in their false claim that William is a knight and Aiden is a knave.", "Assume William is a knight. No contradiction is found in their claim that If Ava is a knight then Aiden is a knight.", "Ava cannot be a knight, because this would contradict the claim of Sebastian that Jackson is a knight if and only if Ava is a knave.", "Ava cannot be a knave, because this would contradict the false claim of their own that Aiden is a knight and William is a knight.", "We have exhausted all possibilities for Ava, so let us go back and reconsider William.", "William cannot be a knave, because this would contradict the false claim of their own that If Ava is a knight then Aiden is a knight.", "We have exhausted all possibilities for William, Riley, and Joseph, so let us go back and reconsider Aiden.", "Aiden cannot be a knave, because this would contradict the claim of Jackson that Aiden is a knight and Sebastian is a knight.", "We have exhausted all possibilities for Aiden, so let us go back and reconsider Jackson.", "Assume Jackson is a knave. No contradiction is found in their false claim that Aiden is a knight and Sebastian is a knight.", "Aiden cannot be a knight, because this would contradict the false claim of Jackson that Aiden is a knight and Sebastian is a knight.", "Assume Aiden is a knave. No contradiction is found in their false claim that Joseph is a knave or Riley is a knave.", "Assume Joseph is a knight. No contradiction is found in their claim that Jackson is a knave.", "Assume Riley is a knight. No contradiction is found in their claim that William is a knight and Aiden is a knave.", "Assume William is a knight. No contradiction is found in their claim that If Ava is a knight then Aiden is a knight.", "Ava cannot be a knight, because this would contradict the claim of William that If Ava is a knight then Aiden is a knight.", "Ava cannot be a knave, because this would contradict the claim of Sebastian that Jackson is a knight if and only if Ava is a knave.", "We have exhausted all possibilities for Ava, so let us go back and reconsider William.", "William cannot be a knave, because this would contradict the claim of Riley that William is a knight and Aiden is a knave.", "We have exhausted all possibilities for William, so let us go back and reconsider Riley.", "Riley cannot be a knave, because this would contradict the false claim of Aiden that Joseph is a knave or Riley is a knave.", "We have exhausted all possibilities for Riley, so let us go back and reconsider Joseph.", "Joseph cannot be a knave, because this would contradict the false claim of Aiden that Joseph is a knave or Riley is a knave.", "We have exhausted all possibilities for Joseph, Aiden, and Jackson, so let us go back and reconsider Sebastian.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Jackson is a knight if and only if Ava is a knave.", "Jackson cannot be a knight, because this would contradict the claim of their own that Aiden is a knight and Sebastian is a knight.", "Assume Jackson is a knave. No contradiction is found in their false claim that Aiden is a knight and Sebastian is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that Joseph is a knave or Riley is a knave.", "Assume Joseph is a knight. No contradiction is found in their claim that Jackson is a knave.", "Riley cannot be a knight, because this would contradict the claim of Aiden that Joseph is a knave or Riley is a knave.", "Assume Riley is a knave. No contradiction is found in their false claim that William is a knight and Aiden is a knave.", "Assume William is a knight. No contradiction is found in their claim that If Ava is a knight then Aiden is a knight.", "Ava cannot be a knight, because this would contradict the false claim of Sebastian that Jackson is a knight if and only if Ava is a knave.", "Ava cannot be a knave, because this would contradict the false claim of their own that Aiden is a knight and William is a knight.", "We have exhausted all possibilities for Ava, so let us go back and reconsider William.", "William cannot be a knave, because this would contradict the false claim of their own that If Ava is a knight then Aiden is a knight.", "We have exhausted all possibilities for William and Riley, so let us go back and reconsider Joseph.", "Joseph cannot be a knave, because this would contradict the false claim of their own that Jackson is a knave.", "We have exhausted all possibilities for Joseph, so let us go back and reconsider Aiden.", "Assume Aiden is a knave. No contradiction is found in their false claim that Joseph is a knave or Riley is a knave.", "Assume Joseph is a knight. No contradiction is found in their claim that Jackson is a knave.", "Assume Riley is a knight. No contradiction is found in their claim that William is a knight and Aiden is a knave.", "Assume William is a knight. No contradiction is found in their claim that If Ava is a knight then Aiden is a knight.", "Ava cannot be a knight, because this would contradict the false claim of Sebastian that Jackson is a knight if and only if Ava is a knave.", "Assume Ava is a knave. No contradiction is found in their false claim that Aiden is a knight and William is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 4), ('lying', 5)), ('or', ('lying', 3), ('lying', 6)), ('->', ('telling-truth', 5), ('telling-truth', 1)), ('lying', 4), ('and', ('telling-truth', 1), ('telling-truth', 0)), ('and', ('telling-truth', 1), ('telling-truth', 2)), ('and', ('telling-truth', 2), ('lying', 1)))", "index": 718}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Owen, Mason, Samuel, Scarlett, Avery, Mia, and Sebastian. \"Mia is a knave and Mason is a knave,\" Owen declared. \"Samuel is a knave if and only if Scarlett is a knave\" - Mason. Samuel said, \"Owen is a knave.\" \"Mia is a knave or Mason is a knave,\" Scarlett mentioned. In Avery's words: \"Scarlett is a knight if and only if Scarlett is a knave\". \"Sebastian is not a knave\" - Mia. Sebastian told you that Samuel is a knave if and only if Scarlett is a knave. So who is a knight and who is a knave?", "names": ["Owen", "Mason", "Samuel", "Scarlett", "Avery", "Mia", "Sebastian"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, false, false, false], "solution_text": "Owen is a knight, Mason is a knave, Samuel is a knave, Scarlett is a knight, Avery is a knave, Mia is a knave, and Sebastian is a knave.", "solution_text_format": "(1) Owen is a knight\n(2) Mason is a knave\n(3) Samuel is a knave\n(4) Scarlett is a knight\n(5) Avery is a knave\n(6) Mia is a knave\n(7) Sebastian is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Owen is a knight. No contradiction is found in their claim that Mia is a knave and Mason is a knave.", "Mia cannot be a knight, because this would contradict the claim of Owen that Mia is a knave and Mason is a knave.", "Assume Mia is a knave. No contradiction is found in their false claim that Sebastian is not a knave.", "Sebastian cannot be a knight, because this would contradict the false claim of Mia that Sebastian is not a knave.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Samuel is a knave if and only if Scarlett is a knave.", "Samuel cannot be a knight, because this would contradict the claim of their own that Owen is a knave.", "Assume Samuel is a knave. No contradiction is found in their false claim that Owen is a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that Mia is a knave or Mason is a knave.", "Mason cannot be a knight, because this would contradict the claim of Owen that Mia is a knave and Mason is a knave.", "Assume Mason is a knave. No contradiction is found in their false claim that Samuel is a knave if and only if Scarlett is a knave.", "Avery cannot be a knight, because this would contradict the claim of their own that Scarlett is a knight if and only if Scarlett is a knave.", "Assume Avery is a knave. No contradiction is found in their false claim that Scarlett is a knight if and only if Scarlett is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 5), ('lying', 1)), ('<=>', ('lying', 2), ('lying', 3)), ('lying', 0), ('or', ('lying', 5), ('lying', 1)), ('<=>', ('telling-truth', 3), ('lying', 3)), ('not', ('lying', 6)), ('<=>', ('lying', 2), ('lying', 3)))", "index": 719}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Matthew, Ethan, David, Aiden, Luke, Riley, and Emily. \"Aiden is not a knave,\" Matthew declared. Ethan was heard saying, \"Emily is a knave and Matthew is a knight\". David expressed that Aiden is a knave or Matthew is a knave. Aiden commented, \"Riley is not a knave\". Luke commented, \"Matthew is not a knave\". In Riley's words: \"Ethan is a knave or Luke is a knight\". \"Luke is a knave\" - Emily. So who is a knight and who is a knave?", "names": ["Matthew", "Ethan", "David", "Aiden", "Luke", "Riley", "Emily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true, true, true, false], "solution_text": "Matthew is a knight, Ethan is a knight, David is a knave, Aiden is a knight, Luke is a knight, Riley is a knight, and Emily is a knave.", "solution_text_format": "(1) Matthew is a knight\n(2) Ethan is a knight\n(3) David is a knave\n(4) Aiden is a knight\n(5) Luke is a knight\n(6) Riley is a knight\n(7) Emily is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Matthew is a knight. No contradiction is found in their claim that Aiden is not a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that Riley is not a knave.", "Assume Riley is a knight. No contradiction is found in their claim that Ethan is a knave or Luke is a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that Emily is a knave and Matthew is a knight.", "Emily cannot be a knight, because this would contradict the claim of Ethan that Emily is a knave and Matthew is a knight.", "Assume Emily is a knave. No contradiction is found in their false claim that Luke is a knave.", "Assume Luke is a knight. No contradiction is found in their claim that Matthew is not a knave.", "David cannot be a knight, because this would contradict the claim of their own that Aiden is a knave or Matthew is a knave.", "Assume David is a knave. No contradiction is found in their false claim that Aiden is a knave or Matthew is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 3)), ('and', ('lying', 6), ('telling-truth', 0)), ('or', ('lying', 3), ('lying', 0)), ('not', ('lying', 5)), ('not', ('lying', 0)), ('or', ('lying', 1), ('telling-truth', 4)), ('lying', 4))", "index": 720}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Owen, Ethan, Mason, Jacob, Joseph, Matthew, and Lucas. In Owen's words: \"Joseph is a knave if and only if Jacob is a knight\". In Ethan's words: \"Matthew is a knight\". \"Ethan is a knight or Mason is a knight,\" Mason declared. In Jacob's words: \"Joseph is a knave or Matthew is a knave\". \"Matthew is a knave\" - Joseph. \"Mason is a knight or Mason is a knave,\" Matthew declared. As Lucas put it, \"Matthew is a knave if and only if Mason is a knave\". So who is a knight and who is a knave?", "names": ["Owen", "Ethan", "Mason", "Jacob", "Joseph", "Matthew", "Lucas"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, false, true, true], "solution_text": "Owen is a knight, Ethan is a knight, Mason is a knight, Jacob is a knight, Joseph is a knave, Matthew is a knight, and Lucas is a knight.", "solution_text_format": "(1) Owen is a knight\n(2) Ethan is a knight\n(3) Mason is a knight\n(4) Jacob is a knight\n(5) Joseph is a knave\n(6) Matthew is a knight\n(7) Lucas is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Owen is a knight. No contradiction is found in their claim that Joseph is a knave if and only if Jacob is a knight.", "Assume Joseph is a knight. No contradiction is found in their claim that Matthew is a knave.", "Matthew cannot be a knight, because this would contradict the claim of Joseph that Matthew is a knave.", "Matthew cannot be a knave, because this would contradict the false claim of their own that Mason is a knight or Mason is a knave.", "We have exhausted all possibilities for Matthew, so let us go back and reconsider Joseph.", "Assume Joseph is a knave. No contradiction is found in their false claim that Matthew is a knave.", "Assume Matthew is a knight. No contradiction is found in their claim that Mason is a knight or Mason is a knave.", "Assume Mason is a knight. No contradiction is found in their claim that Ethan is a knight or Mason is a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that Matthew is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that Joseph is a knave or Matthew is a knave.", "Assume Lucas is a knight. No contradiction is found in their claim that Matthew is a knave if and only if Mason is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 4), ('telling-truth', 3)), ('telling-truth', 5), ('or', ('telling-truth', 1), ('telling-truth', 2)), ('or', ('lying', 4), ('lying', 5)), ('lying', 5), ('or', ('telling-truth', 2), ('lying', 2)), ('<=>', ('lying', 5), ('lying', 2)))", "index": 721}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Lily, Mia, Oliver, Ava, Evelyn, Alexander, and Ella. \"Ella is a knave and Ella is a knight,\" Lily mentioned. Mia said, \"Oliver is a knight.\" \"If Evelyn is a knave then Ella is a knight,\" Oliver declared. \"If Mia is a knave then Oliver is a knave\" - Ava. Evelyn remarked, \"Lily is not a knight\". According to Alexander, \"Ella is not a knave\". \"If Lily is a knight then Evelyn is a knave,\" Ella claimed. So who is a knight and who is a knave?", "names": ["Lily", "Mia", "Oliver", "Ava", "Evelyn", "Alexander", "Ella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, true, true, true], "solution_text": "Lily is a knave, Mia is a knight, Oliver is a knight, Ava is a knight, Evelyn is a knight, Alexander is a knight, and Ella is a knight.", "solution_text_format": "(1) Lily is a knave\n(2) Mia is a knight\n(3) Oliver is a knight\n(4) Ava is a knight\n(5) Evelyn is a knight\n(6) Alexander is a knight\n(7) Ella is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Lily cannot be a knight, because this would contradict the claim of their own that Ella is a knave and Ella is a knight.", "Assume Lily is a knave. No contradiction is found in their false claim that Ella is a knave and Ella is a knight.", "Assume Ella is a knight. No contradiction is found in their claim that If Lily is a knight then Evelyn is a knave.", "Assume Evelyn is a knight. No contradiction is found in their claim that Lily is not a knight.", "Assume Mia is a knight. No contradiction is found in their claim that Oliver is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that If Evelyn is a knave then Ella is a knight.", "Assume Ava is a knight. No contradiction is found in their claim that If Mia is a knave then Oliver is a knave.", "Assume Alexander is a knight. No contradiction is found in their claim that Ella is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 6), ('telling-truth', 6)), ('telling-truth', 2), ('->', ('lying', 4), ('telling-truth', 6)), ('->', ('lying', 1), ('lying', 2)), ('not', ('telling-truth', 0)), ('not', ('lying', 6)), ('->', ('telling-truth', 0), ('lying', 4)))", "index": 722}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Jack, Joseph, Liam, Noah, Luke, Victoria, and Ella. Jack remarked, \"Victoria is a knight if and only if Liam is a knave\". Joseph asserted: \"Liam is a knave and Noah is a knight\". \"Noah is a knave and Luke is a knave,\" Liam declared. Noah noted, \"Ella is a knight if and only if Ella is a knave\". According to Luke, \"Liam is a knave\". Victoria remarked, \"Ella is not a knave\". In Ella's words: \"Victoria is a knave or Jack is a knave\". So who is a knight and who is a knave?", "names": ["Jack", "Joseph", "Liam", "Noah", "Luke", "Victoria", "Ella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false, false, true, true], "solution_text": "Jack is a knave, Joseph is a knave, Liam is a knight, Noah is a knave, Luke is a knave, Victoria is a knight, and Ella is a knight.", "solution_text_format": "(1) Jack is a knave\n(2) Joseph is a knave\n(3) Liam is a knight\n(4) Noah is a knave\n(5) Luke is a knave\n(6) Victoria is a knight\n(7) Ella is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jack is a knight. No contradiction is found in their claim that Victoria is a knight if and only if Liam is a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that Ella is not a knave.", "Ella cannot be a knight, because this would contradict the claim of their own that Victoria is a knave or Jack is a knave.", "Ella cannot be a knave, because this would contradict the claim of Victoria that Ella is not a knave.", "We have exhausted all possibilities for Ella, so let us go back and reconsider Victoria.", "Assume Victoria is a knave. No contradiction is found in their false claim that Ella is not a knave.", "Ella cannot be a knight, because this would contradict the false claim of Victoria that Ella is not a knave.", "Ella cannot be a knave, because this would contradict the false claim of their own that Victoria is a knave or Jack is a knave.", "We have exhausted all possibilities for Ella and Victoria, so let us go back and reconsider Jack.", "Assume Jack is a knave. No contradiction is found in their false claim that Victoria is a knight if and only if Liam is a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that Ella is not a knave.", "Assume Ella is a knight. No contradiction is found in their claim that Victoria is a knave or Jack is a knave.", "Assume Liam is a knight. No contradiction is found in their claim that Noah is a knave and Luke is a knave.", "Noah cannot be a knight, because this would contradict the claim of Liam that Noah is a knave and Luke is a knave.", "Assume Noah is a knave. No contradiction is found in their false claim that Ella is a knight if and only if Ella is a knave.", "Luke cannot be a knight, because this would contradict the claim of Liam that Noah is a knave and Luke is a knave.", "Assume Luke is a knave. No contradiction is found in their false claim that Liam is a knave.", "Joseph cannot be a knight, because this would contradict the claim of their own that Liam is a knave and Noah is a knight.", "Assume Joseph is a knave. No contradiction is found in their false claim that Liam is a knave and Noah is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 5), ('lying', 2)), ('and', ('lying', 2), ('telling-truth', 3)), ('and', ('lying', 3), ('lying', 4)), ('<=>', ('telling-truth', 6), ('lying', 6)), ('lying', 2), ('not', ('lying', 6)), ('or', ('lying', 5), ('lying', 0)))", "index": 723}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Riley, Joseph, Noah, Liam, Oliver, Jack, and David. Riley commented, \"David is a knight\". Joseph was heard saying, \"Riley is a knight if and only if David is a knight\". Noah said that If David is a knight then Jack is a knight. \"Noah is a knight\" - Liam. \"Joseph is not a knave\" - Oliver. Jack was heard saying, \"Oliver is not a knight\". \"Oliver is not a knave,\" David declared. So who is a knight and who is a knave?", "names": ["Riley", "Joseph", "Noah", "Liam", "Oliver", "Jack", "David"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false, true, false, true], "solution_text": "Riley is a knight, Joseph is a knight, Noah is a knave, Liam is a knave, Oliver is a knight, Jack is a knave, and David is a knight.", "solution_text_format": "(1) Riley is a knight\n(2) Joseph is a knight\n(3) Noah is a knave\n(4) Liam is a knave\n(5) Oliver is a knight\n(6) Jack is a knave\n(7) David is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Riley is a knight. No contradiction is found in their claim that David is a knight.", "Assume David is a knight. No contradiction is found in their claim that Oliver is not a knave.", "Assume Oliver is a knight. No contradiction is found in their claim that Joseph is not a knave.", "Assume Joseph is a knight. No contradiction is found in their claim that Riley is a knight if and only if David is a knight.", "Assume Noah is a knight. No contradiction is found in their claim that If David is a knight then Jack is a knight.", "Jack cannot be a knight, because this would contradict the claim of their own that Oliver is not a knight.", "Jack cannot be a knave, because this would contradict the claim of Noah that If David is a knight then Jack is a knight.", "We have exhausted all possibilities for Jack, so let us go back and reconsider Noah.", "Assume Noah is a knave. No contradiction is found in their false claim that If David is a knight then Jack is a knight.", "Jack cannot be a knight, because this would contradict the false claim of Noah that If David is a knight then Jack is a knight.", "Assume Jack is a knave. No contradiction is found in their false claim that Oliver is not a knight.", "Liam cannot be a knight, because this would contradict the claim of their own that Noah is a knight.", "Assume Liam is a knave. No contradiction is found in their false claim that Noah is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 6), ('<=>', ('telling-truth', 0), ('telling-truth', 6)), ('->', ('telling-truth', 6), ('telling-truth', 5)), ('telling-truth', 2), ('not', ('lying', 1)), ('not', ('telling-truth', 4)), ('not', ('lying', 4)))", "index": 724}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Harper, Michael, Benjamin, Elizabeth, Lily, Jacob, and Evelyn. Harper was heard saying, \"Michael is a knight if and only if Evelyn is a knight\". Michael stated, \"Lily is a knave if and only if Harper is a knave\". Benjamin said that Jacob is a knight. Elizabeth told you that Harper is a knight if and only if Elizabeth is a knight. Lily remarked, \"If Michael is a knight then Lily is a knight\". \"Lily is not a knight,\" Jacob claimed. Evelyn said that Elizabeth is a knave and Lily is a knight. So who is a knight and who is a knave?", "names": ["Harper", "Michael", "Benjamin", "Elizabeth", "Lily", "Jacob", "Evelyn"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false, true, false, true], "solution_text": "Harper is a knight, Michael is a knight, Benjamin is a knave, Elizabeth is a knave, Lily is a knight, Jacob is a knave, and Evelyn is a knight.", "solution_text_format": "(1) Harper is a knight\n(2) Michael is a knight\n(3) Benjamin is a knave\n(4) Elizabeth is a knave\n(5) Lily is a knight\n(6) Jacob is a knave\n(7) Evelyn is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Harper is a knight. No contradiction is found in their claim that Michael is a knight if and only if Evelyn is a knight.", "Assume Michael is a knight. No contradiction is found in their claim that Lily is a knave if and only if Harper is a knave.", "Assume Lily is a knight. No contradiction is found in their claim that If Michael is a knight then Lily is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that Elizabeth is a knave and Lily is a knight.", "Elizabeth cannot be a knight, because this would contradict the claim of Evelyn that Elizabeth is a knave and Lily is a knight.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Harper is a knight if and only if Elizabeth is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that Jacob is a knight.", "Jacob cannot be a knight, because this would contradict the claim of their own that Lily is not a knight.", "Jacob cannot be a knave, because this would contradict the claim of Benjamin that Jacob is a knight.", "We have exhausted all possibilities for Jacob, so let us go back and reconsider Benjamin.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Jacob is a knight.", "Jacob cannot be a knight, because this would contradict the false claim of Benjamin that Jacob is a knight.", "Assume Jacob is a knave. No contradiction is found in their false claim that Lily is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('telling-truth', 6)), ('<=>', ('lying', 4), ('lying', 0)), ('telling-truth', 5), ('<=>', ('telling-truth', 0), ('telling-truth', 3)), ('->', ('telling-truth', 1), ('telling-truth', 4)), ('not', ('telling-truth', 4)), ('and', ('lying', 3), ('telling-truth', 4)))", "index": 725}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Aiden, Zoey, Mia, Matthew, Benjamin, Aurora, and Elizabeth. Aiden stated, \"If Zoey is a knight then Mia is a knight\". Zoey asserted: \"Benjamin is a knave or Matthew is a knight\". Mia expressed that Zoey is a knight or Benjamin is a knave. Matthew asserted: \"Zoey is a knight or Aiden is a knight\". Benjamin remarked, \"Aurora is a knave if and only if Elizabeth is a knave\". Aurora was heard saying, \"If Benjamin is a knight then Mia is a knight\". Elizabeth said that If Benjamin is a knave then Matthew is a knight. So who is a knight and who is a knave?", "names": ["Aiden", "Zoey", "Mia", "Matthew", "Benjamin", "Aurora", "Elizabeth"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, true, true, true], "solution_text": "Aiden is a knight, Zoey is a knight, Mia is a knight, Matthew is a knight, Benjamin is a knight, Aurora is a knight, and Elizabeth is a knight.", "solution_text_format": "(1) Aiden is a knight\n(2) Zoey is a knight\n(3) Mia is a knight\n(4) Matthew is a knight\n(5) Benjamin is a knight\n(6) Aurora is a knight\n(7) Elizabeth is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aiden is a knight. No contradiction is found in their claim that If Zoey is a knight then Mia is a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that Benjamin is a knave or Matthew is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that Aurora is a knave if and only if Elizabeth is a knave.", "Assume Aurora is a knight. No contradiction is found in their claim that If Benjamin is a knight then Mia is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that Zoey is a knight or Benjamin is a knave.", "Assume Elizabeth is a knight. No contradiction is found in their claim that If Benjamin is a knave then Matthew is a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that Zoey is a knight or Aiden is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 1), ('telling-truth', 2)), ('or', ('lying', 4), ('telling-truth', 3)), ('or', ('telling-truth', 1), ('lying', 4)), ('or', ('telling-truth', 1), ('telling-truth', 0)), ('<=>', ('lying', 5), ('lying', 6)), ('->', ('telling-truth', 4), ('telling-truth', 2)), ('->', ('lying', 4), ('telling-truth', 3)))", "index": 726}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Sofia, Scarlett, Chloe, Abigail, Ethan, Emma, and Owen. Sofia told you that Chloe is a knight if and only if Owen is a knight. Scarlett expressed that Scarlett is a knight and Emma is a knight. According to Chloe, \"Emma is a knight or Scarlett is a knave\". Abigail said that If Abigail is a knight then Sofia is a knave. Ethan was heard saying, \"Sofia is not a knight\". Emma told you that Scarlett is a knight and Abigail is a knave. In Owen's words: \"Scarlett is a knight\". So who is a knight and who is a knave?", "names": ["Sofia", "Scarlett", "Chloe", "Abigail", "Ethan", "Emma", "Owen"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true, true, false, false], "solution_text": "Sofia is a knave, Scarlett is a knave, Chloe is a knight, Abigail is a knight, Ethan is a knight, Emma is a knave, and Owen is a knave.", "solution_text_format": "(1) Sofia is a knave\n(2) Scarlett is a knave\n(3) Chloe is a knight\n(4) Abigail is a knight\n(5) Ethan is a knight\n(6) Emma is a knave\n(7) Owen is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sofia is a knight. No contradiction is found in their claim that Chloe is a knight if and only if Owen is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that Emma is a knight or Scarlett is a knave.", "Assume Emma is a knight. No contradiction is found in their claim that Scarlett is a knight and Abigail is a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that Scarlett is a knight and Emma is a knight.", "Abigail cannot be a knight, because this would contradict the claim of their own that If Abigail is a knight then Sofia is a knave.", "Abigail cannot be a knave, because this would contradict the false claim of their own that If Abigail is a knight then Sofia is a knave.", "We have exhausted all possibilities for Abigail, so let us go back and reconsider Scarlett.", "Scarlett cannot be a knave, because this would contradict the claim of Emma that Scarlett is a knight and Abigail is a knave.", "We have exhausted all possibilities for Scarlett, so let us go back and reconsider Emma.", "Assume Emma is a knave. No contradiction is found in their false claim that Scarlett is a knight and Abigail is a knave.", "Scarlett cannot be a knight, because this would contradict the claim of their own that Scarlett is a knight and Emma is a knight.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Scarlett is a knight and Emma is a knight.", "Abigail cannot be a knight, because this would contradict the claim of their own that If Abigail is a knight then Sofia is a knave.", "Abigail cannot be a knave, because this would contradict the false claim of their own that If Abigail is a knight then Sofia is a knave.", "We have exhausted all possibilities for Abigail, Scarlett, and Emma, so let us go back and reconsider Chloe.", "Assume Chloe is a knave. No contradiction is found in their false claim that Emma is a knight or Scarlett is a knave.", "Emma cannot be a knight, because this would contradict the false claim of Chloe that Emma is a knight or Scarlett is a knave.", "Assume Emma is a knave. No contradiction is found in their false claim that Scarlett is a knight and Abigail is a knave.", "Scarlett cannot be a knight, because this would contradict the claim of their own that Scarlett is a knight and Emma is a knight.", "Scarlett cannot be a knave, because this would contradict the false claim of Chloe that Emma is a knight or Scarlett is a knave.", "We have exhausted all possibilities for Scarlett, Emma, and Chloe, so let us go back and reconsider Sofia.", "Assume Sofia is a knave. No contradiction is found in their false claim that Chloe is a knight if and only if Owen is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that Emma is a knight or Scarlett is a knave.", "Assume Emma is a knight. No contradiction is found in their claim that Scarlett is a knight and Abigail is a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that Scarlett is a knight and Emma is a knight.", "Abigail cannot be a knight, because this would contradict the claim of Emma that Scarlett is a knight and Abigail is a knave.", "Abigail cannot be a knave, because this would contradict the false claim of their own that If Abigail is a knight then Sofia is a knave.", "We have exhausted all possibilities for Abigail, so let us go back and reconsider Scarlett.", "Scarlett cannot be a knave, because this would contradict the claim of Emma that Scarlett is a knight and Abigail is a knave.", "We have exhausted all possibilities for Scarlett, so let us go back and reconsider Emma.", "Assume Emma is a knave. No contradiction is found in their false claim that Scarlett is a knight and Abigail is a knave.", "Scarlett cannot be a knight, because this would contradict the claim of their own that Scarlett is a knight and Emma is a knight.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Scarlett is a knight and Emma is a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that If Abigail is a knight then Sofia is a knave.", "Owen cannot be a knight, because this would contradict the false claim of Sofia that Chloe is a knight if and only if Owen is a knight.", "Assume Owen is a knave. No contradiction is found in their false claim that Scarlett is a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that Sofia is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 2), ('telling-truth', 6)), ('and', ('telling-truth', 1), ('telling-truth', 5)), ('or', ('telling-truth', 5), ('lying', 1)), ('->', ('telling-truth', 3), ('lying', 0)), ('not', ('telling-truth', 0)), ('and', ('telling-truth', 1), ('lying', 3)), ('telling-truth', 1))", "index": 727}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Abigail, David, Amelia, Mia, Logan, Daniel, and Sophia. \"Mia is a knight,\" Abigail claimed. David asserted: \"Abigail is a knave\". Amelia told you that Mia is a knave. Mia remarked, \"Mia is a knight and Daniel is a knight\". Logan told you that Daniel is a knave or David is a knave. Daniel remarked, \"Abigail is a knave or Sophia is a knight\". According to Sophia, \"Abigail is a knight if and only if Daniel is a knave\". So who is a knight and who is a knave?", "names": ["Abigail", "David", "Amelia", "Mia", "Logan", "Daniel", "Sophia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false, false, true, true], "solution_text": "Abigail is a knave, David is a knight, Amelia is a knight, Mia is a knave, Logan is a knave, Daniel is a knight, and Sophia is a knight.", "solution_text_format": "(1) Abigail is a knave\n(2) David is a knight\n(3) Amelia is a knight\n(4) Mia is a knave\n(5) Logan is a knave\n(6) Daniel is a knight\n(7) Sophia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Abigail is a knight. No contradiction is found in their claim that Mia is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that Mia is a knight and Daniel is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that Abigail is a knave or Sophia is a knight.", "Sophia cannot be a knight, because this would contradict the claim of their own that Abigail is a knight if and only if Daniel is a knave.", "Sophia cannot be a knave, because this would contradict the claim of Daniel that Abigail is a knave or Sophia is a knight.", "We have exhausted all possibilities for Sophia, so let us go back and reconsider Daniel.", "Daniel cannot be a knave, because this would contradict the claim of Mia that Mia is a knight and Daniel is a knight.", "We have exhausted all possibilities for Daniel, so let us go back and reconsider Mia.", "Mia cannot be a knave, because this would contradict the claim of Abigail that Mia is a knight.", "We have exhausted all possibilities for Mia, so let us go back and reconsider Abigail.", "Assume Abigail is a knave. No contradiction is found in their false claim that Mia is a knight.", "Mia cannot be a knight, because this would contradict the false claim of Abigail that Mia is a knight.", "Assume Mia is a knave. No contradiction is found in their false claim that Mia is a knight and Daniel is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that Abigail is a knave or Sophia is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that Abigail is a knight if and only if Daniel is a knave.", "Assume David is a knight. No contradiction is found in their claim that Abigail is a knave.", "Assume Amelia is a knight. No contradiction is found in their claim that Mia is a knave.", "Logan cannot be a knight, because this would contradict the claim of their own that Daniel is a knave or David is a knave.", "Assume Logan is a knave. No contradiction is found in their false claim that Daniel is a knave or David is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 3), ('lying', 0), ('lying', 3), ('and', ('telling-truth', 3), ('telling-truth', 5)), ('or', ('lying', 5), ('lying', 1)), ('or', ('lying', 0), ('telling-truth', 6)), ('<=>', ('telling-truth', 0), ('lying', 5)))", "index": 728}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Logan, Grace, Henry, Michael, Ethan, Riley, and Isabella. According to Logan, \"Riley is not a knight\". Grace asserted: \"If Logan is a knight then Henry is a knight\". \"Henry is a knight if and only if Grace is a knight,\" Henry declared. Michael told you that Riley is a knight if and only if Henry is a knight. As Ethan put it, \"If Grace is a knight then Logan is a knight\". Riley commented, \"Michael is not a knight\". Isabella expressed that If Riley is a knight then Michael is a knave. So who is a knight and who is a knave?", "names": ["Logan", "Grace", "Henry", "Michael", "Ethan", "Riley", "Isabella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false, false, true, true], "solution_text": "Logan is a knave, Grace is a knight, Henry is a knave, Michael is a knave, Ethan is a knave, Riley is a knight, and Isabella is a knight.", "solution_text_format": "(1) Logan is a knave\n(2) Grace is a knight\n(3) Henry is a knave\n(4) Michael is a knave\n(5) Ethan is a knave\n(6) Riley is a knight\n(7) Isabella is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Logan is a knight. No contradiction is found in their claim that Riley is not a knight.", "Riley cannot be a knight, because this would contradict the claim of Logan that Riley is not a knight.", "Assume Riley is a knave. No contradiction is found in their false claim that Michael is not a knight.", "Assume Michael is a knight. No contradiction is found in their claim that Riley is a knight if and only if Henry is a knight.", "Henry cannot be a knight, because this would contradict the claim of Michael that Riley is a knight if and only if Henry is a knight.", "Assume Henry is a knave. No contradiction is found in their false claim that Henry is a knight if and only if Grace is a knight.", "Grace cannot be a knight, because this would contradict the claim of their own that If Logan is a knight then Henry is a knight.", "Grace cannot be a knave, because this would contradict the false claim of Henry that Henry is a knight if and only if Grace is a knight.", "We have exhausted all possibilities for Grace and Henry, so let us go back and reconsider Michael.", "Michael cannot be a knave, because this would contradict the false claim of Riley that Michael is not a knight.", "We have exhausted all possibilities for Michael and Riley, so let us go back and reconsider Logan.", "Assume Logan is a knave. No contradiction is found in their false claim that Riley is not a knight.", "Assume Riley is a knight. No contradiction is found in their claim that Michael is not a knight.", "Michael cannot be a knight, because this would contradict the claim of Riley that Michael is not a knight.", "Assume Michael is a knave. No contradiction is found in their false claim that Riley is a knight if and only if Henry is a knight.", "Henry cannot be a knight, because this would contradict the false claim of Michael that Riley is a knight if and only if Henry is a knight.", "Assume Henry is a knave. No contradiction is found in their false claim that Henry is a knight if and only if Grace is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that If Logan is a knight then Henry is a knight.", "Ethan cannot be a knight, because this would contradict the claim of their own that If Grace is a knight then Logan is a knight.", "Assume Ethan is a knave. No contradiction is found in their false claim that If Grace is a knight then Logan is a knight.", "Assume Isabella is a knight. No contradiction is found in their claim that If Riley is a knight then Michael is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 5)), ('->', ('telling-truth', 0), ('telling-truth', 2)), ('<=>', ('telling-truth', 2), ('telling-truth', 1)), ('<=>', ('telling-truth', 5), ('telling-truth', 2)), ('->', ('telling-truth', 1), ('telling-truth', 0)), ('not', ('telling-truth', 3)), ('->', ('telling-truth', 5), ('lying', 3)))", "index": 729}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Ava, Avery, Luke, Aurora, Sebastian, Grace, and Liam. In a statement by Ava: \"If Grace is a knave then Liam is a knight\". Avery said, \"Ava is a knight or Sebastian is a knight.\" Luke stated, \"Grace is a knave and Luke is a knight\". Aurora told you that If Luke is a knight then Luke is a knave. Sebastian was heard saying, \"Ava is a knave and Liam is a knave\". According to Grace, \"If Avery is a knave then Aurora is a knight\". Liam expressed that Liam is a knight or Ava is a knight. So who is a knight and who is a knave?", "names": ["Ava", "Avery", "Luke", "Aurora", "Sebastian", "Grace", "Liam"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true, false, true, true], "solution_text": "Ava is a knight, Avery is a knight, Luke is a knave, Aurora is a knight, Sebastian is a knave, Grace is a knight, and Liam is a knight.", "solution_text_format": "(1) Ava is a knight\n(2) Avery is a knight\n(3) Luke is a knave\n(4) Aurora is a knight\n(5) Sebastian is a knave\n(6) Grace is a knight\n(7) Liam is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ava is a knight. No contradiction is found in their claim that If Grace is a knave then Liam is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that If Avery is a knave then Aurora is a knight.", "Assume Avery is a knight. No contradiction is found in their claim that Ava is a knight or Sebastian is a knight.", "Sebastian cannot be a knight, because this would contradict the claim of their own that Ava is a knave and Liam is a knave.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Ava is a knave and Liam is a knave.", "Assume Liam is a knight. No contradiction is found in their claim that Liam is a knight or Ava is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that If Luke is a knight then Luke is a knave.", "Luke cannot be a knight, because this would contradict the claim of their own that Grace is a knave and Luke is a knight.", "Assume Luke is a knave. No contradiction is found in their false claim that Grace is a knave and Luke is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 5), ('telling-truth', 6)), ('or', ('telling-truth', 0), ('telling-truth', 4)), ('and', ('lying', 5), ('telling-truth', 2)), ('->', ('telling-truth', 2), ('lying', 2)), ('and', ('lying', 0), ('lying', 6)), ('->', ('lying', 1), ('telling-truth', 3)), ('or', ('telling-truth', 6), ('telling-truth', 0)))", "index": 730}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Evelyn, Liam, Sophia, Emily, Alexander, Logan, and Matthew. According to Evelyn, \"Emily is a knave\". According to Liam, \"Matthew is a knave\". Sophia was heard saying, \"Logan is a knave or Evelyn is a knave\". \"Evelyn is a knight if and only if Matthew is a knave,\" Emily claimed. In a statement by Alexander: \"Evelyn is a knight if and only if Sophia is a knight\". \"Sophia is not a knave,\" Logan declared. \"Alexander is a knave or Sophia is a knave\" - Matthew. So who is a knight and who is a knave?", "names": ["Evelyn", "Liam", "Sophia", "Emily", "Alexander", "Logan", "Matthew"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true, false, true, true], "solution_text": "Evelyn is a knave, Liam is a knave, Sophia is a knight, Emily is a knight, Alexander is a knave, Logan is a knight, and Matthew is a knight.", "solution_text_format": "(1) Evelyn is a knave\n(2) Liam is a knave\n(3) Sophia is a knight\n(4) Emily is a knight\n(5) Alexander is a knave\n(6) Logan is a knight\n(7) Matthew is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Evelyn is a knight. No contradiction is found in their claim that Emily is a knave.", "Emily cannot be a knight, because this would contradict the claim of Evelyn that Emily is a knave.", "Assume Emily is a knave. No contradiction is found in their false claim that Evelyn is a knight if and only if Matthew is a knave.", "Assume Matthew is a knight. No contradiction is found in their claim that Alexander is a knave or Sophia is a knave.", "Assume Alexander is a knight. No contradiction is found in their claim that Evelyn is a knight if and only if Sophia is a knight.", "Sophia cannot be a knight, because this would contradict the claim of Matthew that Alexander is a knave or Sophia is a knave.", "Sophia cannot be a knave, because this would contradict the claim of Alexander that Evelyn is a knight if and only if Sophia is a knight.", "We have exhausted all possibilities for Sophia, so let us go back and reconsider Alexander.", "Assume Alexander is a knave. No contradiction is found in their false claim that Evelyn is a knight if and only if Sophia is a knight.", "Sophia cannot be a knight, because this would contradict the false claim of Alexander that Evelyn is a knight if and only if Sophia is a knight.", "Assume Sophia is a knave. No contradiction is found in their false claim that Logan is a knave or Evelyn is a knave.", "Logan cannot be a knight, because this would contradict the claim of their own that Sophia is not a knave.", "Logan cannot be a knave, because this would contradict the false claim of Sophia that Logan is a knave or Evelyn is a knave.", "We have exhausted all possibilities for Logan, Sophia, and Alexander, so let us go back and reconsider Matthew.", "Matthew cannot be a knave, because this would contradict the false claim of Emily that Evelyn is a knight if and only if Matthew is a knave.", "We have exhausted all possibilities for Matthew and Emily, so let us go back and reconsider Evelyn.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Emily is a knave.", "Assume Emily is a knight. No contradiction is found in their claim that Evelyn is a knight if and only if Matthew is a knave.", "Assume Matthew is a knight. No contradiction is found in their claim that Alexander is a knave or Sophia is a knave.", "Assume Alexander is a knight. No contradiction is found in their claim that Evelyn is a knight if and only if Sophia is a knight.", "Sophia cannot be a knight, because this would contradict the claim of Alexander that Evelyn is a knight if and only if Sophia is a knight.", "Sophia cannot be a knave, because this would contradict the false claim of their own that Logan is a knave or Evelyn is a knave.", "We have exhausted all possibilities for Sophia, so let us go back and reconsider Alexander.", "Assume Alexander is a knave. No contradiction is found in their false claim that Evelyn is a knight if and only if Sophia is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that Logan is a knave or Evelyn is a knave.", "Assume Logan is a knight. No contradiction is found in their claim that Sophia is not a knave.", "Liam cannot be a knight, because this would contradict the claim of their own that Matthew is a knave.", "Assume Liam is a knave. No contradiction is found in their false claim that Matthew is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 3), ('lying', 6), ('or', ('lying', 5), ('lying', 0)), ('<=>', ('telling-truth', 0), ('lying', 6)), ('<=>', ('telling-truth', 0), ('telling-truth', 2)), ('not', ('lying', 2)), ('or', ('lying', 4), ('lying', 2)))", "index": 731}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Daniel, Logan, Noah, Joseph, Victoria, Elizabeth, and Aiden. Daniel told you that Victoria is a knave and Joseph is a knave. \"Aiden is a knave or Victoria is a knave,\" Logan declared. Noah said, \"Elizabeth is a knight and Joseph is a knave.\" As Joseph put it, \"Victoria is a knight or Aiden is a knave\". Victoria said, \"Aiden is a knight or Joseph is a knight.\" Elizabeth noted, \"Victoria is a knave or Aiden is a knight\". Aiden was heard saying, \"If Joseph is a knight then Victoria is a knight\". So who is a knight and who is a knave?", "names": ["Daniel", "Logan", "Noah", "Joseph", "Victoria", "Elizabeth", "Aiden"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true, true, true, true], "solution_text": "Daniel is a knave, Logan is a knave, Noah is a knave, Joseph is a knight, Victoria is a knight, Elizabeth is a knight, and Aiden is a knight.", "solution_text_format": "(1) Daniel is a knave\n(2) Logan is a knave\n(3) Noah is a knave\n(4) Joseph is a knight\n(5) Victoria is a knight\n(6) Elizabeth is a knight\n(7) Aiden is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Daniel is a knight. No contradiction is found in their claim that Victoria is a knave and Joseph is a knave.", "Victoria cannot be a knight, because this would contradict the claim of Daniel that Victoria is a knave and Joseph is a knave.", "Assume Victoria is a knave. No contradiction is found in their false claim that Aiden is a knight or Joseph is a knight.", "Aiden cannot be a knight, because this would contradict the false claim of Victoria that Aiden is a knight or Joseph is a knight.", "Assume Aiden is a knave. No contradiction is found in their false claim that If Joseph is a knight then Victoria is a knight.", "Joseph cannot be a knight, because this would contradict the claim of Daniel that Victoria is a knave and Joseph is a knave.", "Joseph cannot be a knave, because this would contradict the false claim of their own that Victoria is a knight or Aiden is a knave.", "We have exhausted all possibilities for Joseph, Aiden, and Victoria, so let us go back and reconsider Daniel.", "Assume Daniel is a knave. No contradiction is found in their false claim that Victoria is a knave and Joseph is a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that Aiden is a knight or Joseph is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that If Joseph is a knight then Victoria is a knight.", "Assume Joseph is a knight. No contradiction is found in their claim that Victoria is a knight or Aiden is a knave.", "Logan cannot be a knight, because this would contradict the claim of their own that Aiden is a knave or Victoria is a knave.", "Assume Logan is a knave. No contradiction is found in their false claim that Aiden is a knave or Victoria is a knave.", "Noah cannot be a knight, because this would contradict the claim of their own that Elizabeth is a knight and Joseph is a knave.", "Assume Noah is a knave. No contradiction is found in their false claim that Elizabeth is a knight and Joseph is a knave.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Victoria is a knave or Aiden is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 4), ('lying', 3)), ('or', ('lying', 6), ('lying', 4)), ('and', ('telling-truth', 5), ('lying', 3)), ('or', ('telling-truth', 4), ('lying', 6)), ('or', ('telling-truth', 6), ('telling-truth', 3)), ('or', ('lying', 4), ('telling-truth', 6)), ('->', ('telling-truth', 3), ('telling-truth', 4)))", "index": 732}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Aiden, Luke, Michael, Charlotte, Ella, Daniel, and Grace. \"Michael is not a knave\" - Aiden. Luke noted, \"Ella is a knave or Daniel is a knight\". Michael remarked, \"Ella is a knave and Luke is a knight\". \"Ella is a knight,\" Charlotte mentioned. Ella told you that Luke is a knight if and only if Aiden is a knave. Daniel expressed that Luke is a knave. Grace commented, \"Michael is not a knight\". So who is a knight and who is a knave?", "names": ["Aiden", "Luke", "Michael", "Charlotte", "Ella", "Daniel", "Grace"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false, false, false, false], "solution_text": "Aiden is a knight, Luke is a knight, Michael is a knight, Charlotte is a knave, Ella is a knave, Daniel is a knave, and Grace is a knave.", "solution_text_format": "(1) Aiden is a knight\n(2) Luke is a knight\n(3) Michael is a knight\n(4) Charlotte is a knave\n(5) Ella is a knave\n(6) Daniel is a knave\n(7) Grace is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aiden is a knight. No contradiction is found in their claim that Michael is not a knave.", "Assume Michael is a knight. No contradiction is found in their claim that Ella is a knave and Luke is a knight.", "Ella cannot be a knight, because this would contradict the claim of Michael that Ella is a knave and Luke is a knight.", "Assume Ella is a knave. No contradiction is found in their false claim that Luke is a knight if and only if Aiden is a knave.", "Assume Luke is a knight. No contradiction is found in their claim that Ella is a knave or Daniel is a knight.", "Daniel cannot be a knight, because this would contradict the claim of their own that Luke is a knave.", "Assume Daniel is a knave. No contradiction is found in their false claim that Luke is a knave.", "Charlotte cannot be a knight, because this would contradict the claim of their own that Ella is a knight.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Ella is a knight.", "Grace cannot be a knight, because this would contradict the claim of their own that Michael is not a knight.", "Assume Grace is a knave. No contradiction is found in their false claim that Michael is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 2)), ('or', ('lying', 4), ('telling-truth', 5)), ('and', ('lying', 4), ('telling-truth', 1)), ('telling-truth', 4), ('<=>', ('telling-truth', 1), ('lying', 0)), ('lying', 1), ('not', ('telling-truth', 2)))", "index": 733}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Samuel, Ethan, Riley, Lucas, Sofia, Penelope, and Owen. Samuel commented, \"Ethan is a knight\". In a statement by Ethan: \"Owen is not a knight\". Riley stated, \"Penelope is a knave if and only if Penelope is a knight\". Lucas told you that Samuel is a knight. Sofia remarked, \"Samuel is not a knave\". As Penelope put it, \"If Penelope is a knight then Samuel is a knight\". Owen asserted: \"Riley is not a knave\". So who is a knight and who is a knave?", "names": ["Samuel", "Ethan", "Riley", "Lucas", "Sofia", "Penelope", "Owen"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true, true, true, false], "solution_text": "Samuel is a knight, Ethan is a knight, Riley is a knave, Lucas is a knight, Sofia is a knight, Penelope is a knight, and Owen is a knave.", "solution_text_format": "(1) Samuel is a knight\n(2) Ethan is a knight\n(3) Riley is a knave\n(4) Lucas is a knight\n(5) Sofia is a knight\n(6) Penelope is a knight\n(7) Owen is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Samuel is a knight. No contradiction is found in their claim that Ethan is a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that Owen is not a knight.", "Owen cannot be a knight, because this would contradict the claim of Ethan that Owen is not a knight.", "Assume Owen is a knave. No contradiction is found in their false claim that Riley is not a knave.", "Riley cannot be a knight, because this would contradict the claim of their own that Penelope is a knave if and only if Penelope is a knight.", "Assume Riley is a knave. No contradiction is found in their false claim that Penelope is a knave if and only if Penelope is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that If Penelope is a knight then Samuel is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that Samuel is a knight.", "Assume Sofia is a knight. No contradiction is found in their claim that Samuel is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 1), ('not', ('telling-truth', 6)), ('<=>', ('lying', 5), ('telling-truth', 5)), ('telling-truth', 0), ('not', ('lying', 0)), ('->', ('telling-truth', 5), ('telling-truth', 0)), ('not', ('lying', 2)))", "index": 734}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Oliver, Olivia, Penelope, Avery, Michael, Samuel, and Liam. Oliver told you that Avery is not a knave. \"Liam is a knave or Oliver is a knight\" - Olivia. Penelope said that Liam is a knave. Avery said that Oliver is a knight if and only if Samuel is a knave. Michael told you that Penelope is not a knave. Samuel noted, \"If Penelope is a knight then Oliver is a knave\". According to Liam, \"Michael is a knave if and only if Michael is a knight\". So who is a knight and who is a knave?", "names": ["Oliver", "Olivia", "Penelope", "Avery", "Michael", "Samuel", "Liam"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, true, false, false], "solution_text": "Oliver is a knight, Olivia is a knight, Penelope is a knight, Avery is a knight, Michael is a knight, Samuel is a knave, and Liam is a knave.", "solution_text_format": "(1) Oliver is a knight\n(2) Olivia is a knight\n(3) Penelope is a knight\n(4) Avery is a knight\n(5) Michael is a knight\n(6) Samuel is a knave\n(7) Liam is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Oliver is a knight. No contradiction is found in their claim that Avery is not a knave.", "Assume Avery is a knight. No contradiction is found in their claim that Oliver is a knight if and only if Samuel is a knave.", "Samuel cannot be a knight, because this would contradict the claim of Avery that Oliver is a knight if and only if Samuel is a knave.", "Assume Samuel is a knave. No contradiction is found in their false claim that If Penelope is a knight then Oliver is a knave.", "Assume Penelope is a knight. No contradiction is found in their claim that Liam is a knave.", "Liam cannot be a knight, because this would contradict the claim of Penelope that Liam is a knave.", "Assume Liam is a knave. No contradiction is found in their false claim that Michael is a knave if and only if Michael is a knight.", "Assume Michael is a knight. No contradiction is found in their claim that Penelope is not a knave.", "Assume Olivia is a knight. No contradiction is found in their claim that Liam is a knave or Oliver is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 3)), ('or', ('lying', 6), ('telling-truth', 0)), ('lying', 6), ('<=>', ('telling-truth', 0), ('lying', 5)), ('not', ('lying', 2)), ('->', ('telling-truth', 2), ('lying', 0)), ('<=>', ('lying', 4), ('telling-truth', 4)))", "index": 735}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Daniel, Sofia, Henry, William, Samuel, Isabella, and Benjamin. Daniel stated, \"If Samuel is a knight then Sofia is a knight\". Sofia said, \"Benjamin is a knight or Isabella is a knave.\" As Henry put it, \"William is a knight if and only if Daniel is a knight\". In a statement by William: \"Benjamin is a knight and Henry is a knave\". Samuel asserted: \"Sofia is a knight if and only if Daniel is a knave\". Isabella asserted: \"If Samuel is a knave then Sofia is a knave\". Benjamin stated, \"Daniel is a knave and Sofia is a knight\". So who is a knight and who is a knave?", "names": ["Daniel", "Sofia", "Henry", "William", "Samuel", "Isabella", "Benjamin"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false, false, false, false], "solution_text": "Daniel is a knight, Sofia is a knight, Henry is a knave, William is a knave, Samuel is a knave, Isabella is a knave, and Benjamin is a knave.", "solution_text_format": "(1) Daniel is a knight\n(2) Sofia is a knight\n(3) Henry is a knave\n(4) William is a knave\n(5) Samuel is a knave\n(6) Isabella is a knave\n(7) Benjamin is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Daniel is a knight. No contradiction is found in their claim that If Samuel is a knight then Sofia is a knight.", "Assume Samuel is a knight. No contradiction is found in their claim that Sofia is a knight if and only if Daniel is a knave.", "Sofia cannot be a knight, because this would contradict the claim of Samuel that Sofia is a knight if and only if Daniel is a knave.", "Sofia cannot be a knave, because this would contradict the claim of Daniel that If Samuel is a knight then Sofia is a knight.", "We have exhausted all possibilities for Sofia, so let us go back and reconsider Samuel.", "Assume Samuel is a knave. No contradiction is found in their false claim that Sofia is a knight if and only if Daniel is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that Benjamin is a knight or Isabella is a knave.", "Benjamin cannot be a knight, because this would contradict the claim of their own that Daniel is a knave and Sofia is a knight.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Daniel is a knave and Sofia is a knight.", "Isabella cannot be a knight, because this would contradict the claim of Sofia that Benjamin is a knight or Isabella is a knave.", "Assume Isabella is a knave. No contradiction is found in their false claim that If Samuel is a knave then Sofia is a knave.", "Assume Henry is a knight. No contradiction is found in their claim that William is a knight if and only if Daniel is a knight.", "William cannot be a knight, because this would contradict the claim of their own that Benjamin is a knight and Henry is a knave.", "William cannot be a knave, because this would contradict the claim of Henry that William is a knight if and only if Daniel is a knight.", "We have exhausted all possibilities for William, so let us go back and reconsider Henry.", "Assume Henry is a knave. No contradiction is found in their false claim that William is a knight if and only if Daniel is a knight.", "William cannot be a knight, because this would contradict the false claim of Henry that William is a knight if and only if Daniel is a knight.", "Assume William is a knave. No contradiction is found in their false claim that Benjamin is a knight and Henry is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 4), ('telling-truth', 1)), ('or', ('telling-truth', 6), ('lying', 5)), ('<=>', ('telling-truth', 3), ('telling-truth', 0)), ('and', ('telling-truth', 6), ('lying', 2)), ('<=>', ('telling-truth', 1), ('lying', 0)), ('->', ('lying', 4), ('lying', 1)), ('and', ('lying', 0), ('telling-truth', 1)))", "index": 736}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Sofia, Joseph, Mia, Aria, Oliver, Victoria, and Emily. \"Oliver is a knight and Aria is a knight,\" Sofia claimed. Joseph commented, \"Emily is not a knave\". Mia remarked, \"Aria is a knave and Joseph is a knave\". As Aria put it, \"Mia is a knight and Emily is a knave\". In a statement by Oliver: \"If Emily is a knave then Victoria is a knight\". Victoria asserted: \"Sofia is a knight or Mia is a knight\". Emily said, \"If Sofia is a knave then Emily is a knight.\" So who is a knight and who is a knave?", "names": ["Sofia", "Joseph", "Mia", "Aria", "Oliver", "Victoria", "Emily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false, true, false, true], "solution_text": "Sofia is a knave, Joseph is a knight, Mia is a knave, Aria is a knave, Oliver is a knight, Victoria is a knave, and Emily is a knight.", "solution_text_format": "(1) Sofia is a knave\n(2) Joseph is a knight\n(3) Mia is a knave\n(4) Aria is a knave\n(5) Oliver is a knight\n(6) Victoria is a knave\n(7) Emily is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sofia is a knight. No contradiction is found in their claim that Oliver is a knight and Aria is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that If Emily is a knave then Victoria is a knight.", "Assume Emily is a knight. No contradiction is found in their claim that If Sofia is a knave then Emily is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that Sofia is a knight or Mia is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that Aria is a knave and Joseph is a knave.", "Aria cannot be a knight, because this would contradict the claim of Mia that Aria is a knave and Joseph is a knave.", "Aria cannot be a knave, because this would contradict the claim of Sofia that Oliver is a knight and Aria is a knight.", "We have exhausted all possibilities for Aria, so let us go back and reconsider Mia.", "Assume Mia is a knave. No contradiction is found in their false claim that Aria is a knave and Joseph is a knave.", "Aria cannot be a knight, because this would contradict the claim of their own that Mia is a knight and Emily is a knave.", "Aria cannot be a knave, because this would contradict the claim of Sofia that Oliver is a knight and Aria is a knight.", "We have exhausted all possibilities for Aria and Mia, so let us go back and reconsider Victoria.", "Victoria cannot be a knave, because this would contradict the false claim of their own that Sofia is a knight or Mia is a knight.", "We have exhausted all possibilities for Victoria, so let us go back and reconsider Emily.", "Emily cannot be a knave, because this would contradict the false claim of their own that If Sofia is a knave then Emily is a knight.", "We have exhausted all possibilities for Emily, so let us go back and reconsider Oliver.", "Oliver cannot be a knave, because this would contradict the claim of Sofia that Oliver is a knight and Aria is a knight.", "We have exhausted all possibilities for Oliver, so let us go back and reconsider Sofia.", "Assume Sofia is a knave. No contradiction is found in their false claim that Oliver is a knight and Aria is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that If Emily is a knave then Victoria is a knight.", "Assume Emily is a knight. No contradiction is found in their claim that If Sofia is a knave then Emily is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that Sofia is a knight or Mia is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that Aria is a knave and Joseph is a knave.", "Aria cannot be a knight, because this would contradict the false claim of Sofia that Oliver is a knight and Aria is a knight.", "Assume Aria is a knave. No contradiction is found in their false claim that Mia is a knight and Emily is a knave.", "Joseph cannot be a knight, because this would contradict the claim of Mia that Aria is a knave and Joseph is a knave.", "Joseph cannot be a knave, because this would contradict the false claim of their own that Emily is not a knave.", "We have exhausted all possibilities for Joseph and Aria, so let us go back and reconsider Mia.", "Mia cannot be a knave, because this would contradict the claim of Victoria that Sofia is a knight or Mia is a knight.", "We have exhausted all possibilities for Mia, so let us go back and reconsider Victoria.", "Assume Victoria is a knave. No contradiction is found in their false claim that Sofia is a knight or Mia is a knight.", "Mia cannot be a knight, because this would contradict the false claim of Victoria that Sofia is a knight or Mia is a knight.", "Assume Mia is a knave. No contradiction is found in their false claim that Aria is a knave and Joseph is a knave.", "Aria cannot be a knight, because this would contradict the false claim of Sofia that Oliver is a knight and Aria is a knight.", "Assume Aria is a knave. No contradiction is found in their false claim that Mia is a knight and Emily is a knave.", "Assume Joseph is a knight. No contradiction is found in their claim that Emily is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 4), ('telling-truth', 3)), ('not', ('lying', 6)), ('and', ('lying', 3), ('lying', 1)), ('and', ('telling-truth', 2), ('lying', 6)), ('->', ('lying', 6), ('telling-truth', 5)), ('or', ('telling-truth', 0), ('telling-truth', 2)), ('->', ('lying', 0), ('telling-truth', 6)))", "index": 737}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Grace, Samuel, Chloe, Zoey, Charlotte, James, and Aria. In Grace's words: \"If Charlotte is a knave then Samuel is a knight\". As Samuel put it, \"Zoey is a knight or Charlotte is a knight\". Chloe asserted: \"Zoey is a knave\". Zoey commented, \"James is a knight\". \"Grace is a knight or Aria is a knave,\" Charlotte mentioned. James stated, \"Aria is a knave\". Aria expressed that Grace is a knight. So who is a knight and who is a knave?", "names": ["Grace", "Samuel", "Chloe", "Zoey", "Charlotte", "James", "Aria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false, true, false, true], "solution_text": "Grace is a knight, Samuel is a knight, Chloe is a knight, Zoey is a knave, Charlotte is a knight, James is a knave, and Aria is a knight.", "solution_text_format": "(1) Grace is a knight\n(2) Samuel is a knight\n(3) Chloe is a knight\n(4) Zoey is a knave\n(5) Charlotte is a knight\n(6) James is a knave\n(7) Aria is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Grace is a knight. No contradiction is found in their claim that If Charlotte is a knave then Samuel is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that Grace is a knight or Aria is a knave.", "Assume Aria is a knight. No contradiction is found in their claim that Grace is a knight.", "Assume Samuel is a knight. No contradiction is found in their claim that Zoey is a knight or Charlotte is a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that James is a knight.", "James cannot be a knight, because this would contradict the claim of their own that Aria is a knave.", "James cannot be a knave, because this would contradict the claim of Zoey that James is a knight.", "We have exhausted all possibilities for James, so let us go back and reconsider Zoey.", "Assume Zoey is a knave. No contradiction is found in their false claim that James is a knight.", "James cannot be a knight, because this would contradict the false claim of Zoey that James is a knight.", "Assume James is a knave. No contradiction is found in their false claim that Aria is a knave.", "Assume Chloe is a knight. No contradiction is found in their claim that Zoey is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 4), ('telling-truth', 1)), ('or', ('telling-truth', 3), ('telling-truth', 4)), ('lying', 3), ('telling-truth', 5), ('or', ('telling-truth', 0), ('lying', 6)), ('lying', 6), ('telling-truth', 0))", "index": 738}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Emily, Daniel, Charlotte, Alexander, Mia, Jackson, and Jacob. \"If Alexander is a knave then Mia is a knight,\" Emily declared. \"Mia is a knight and Charlotte is a knight,\" Daniel declared. According to Charlotte, \"If Daniel is a knight then Emily is a knave\". Alexander noted, \"Emily is not a knave\". Mia said, \"Alexander is not a knave.\" According to Jackson, \"Jacob is not a knight\". \"Jacob is a knight and Daniel is a knight,\" Jacob declared. So who is a knight and who is a knave?", "names": ["Emily", "Daniel", "Charlotte", "Alexander", "Mia", "Jackson", "Jacob"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false, false, true, false], "solution_text": "Emily is a knave, Daniel is a knave, Charlotte is a knight, Alexander is a knave, Mia is a knave, Jackson is a knight, and Jacob is a knave.", "solution_text_format": "(1) Emily is a knave\n(2) Daniel is a knave\n(3) Charlotte is a knight\n(4) Alexander is a knave\n(5) Mia is a knave\n(6) Jackson is a knight\n(7) Jacob is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Emily is a knight. No contradiction is found in their claim that If Alexander is a knave then Mia is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that Emily is not a knave.", "Assume Mia is a knight. No contradiction is found in their claim that Alexander is not a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that Mia is a knight and Charlotte is a knight.", "Charlotte cannot be a knight, because this would contradict the claim of their own that If Daniel is a knight then Emily is a knave.", "Charlotte cannot be a knave, because this would contradict the claim of Daniel that Mia is a knight and Charlotte is a knight.", "We have exhausted all possibilities for Charlotte, so let us go back and reconsider Daniel.", "Assume Daniel is a knave. No contradiction is found in their false claim that Mia is a knight and Charlotte is a knight.", "Charlotte cannot be a knight, because this would contradict the false claim of Daniel that Mia is a knight and Charlotte is a knight.", "Charlotte cannot be a knave, because this would contradict the false claim of their own that If Daniel is a knight then Emily is a knave.", "We have exhausted all possibilities for Charlotte and Daniel, so let us go back and reconsider Mia.", "Mia cannot be a knave, because this would contradict the false claim of their own that Alexander is not a knave.", "We have exhausted all possibilities for Mia, so let us go back and reconsider Alexander.", "Alexander cannot be a knave, because this would contradict the false claim of their own that Emily is not a knave.", "We have exhausted all possibilities for Alexander, so let us go back and reconsider Emily.", "Assume Emily is a knave. No contradiction is found in their false claim that If Alexander is a knave then Mia is a knight.", "Alexander cannot be a knight, because this would contradict the false claim of Emily that If Alexander is a knave then Mia is a knight.", "Assume Alexander is a knave. No contradiction is found in their false claim that Emily is not a knave.", "Mia cannot be a knight, because this would contradict the false claim of Emily that If Alexander is a knave then Mia is a knight.", "Assume Mia is a knave. No contradiction is found in their false claim that Alexander is not a knave.", "Daniel cannot be a knight, because this would contradict the claim of their own that Mia is a knight and Charlotte is a knight.", "Assume Daniel is a knave. No contradiction is found in their false claim that Mia is a knight and Charlotte is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that If Daniel is a knight then Emily is a knave.", "Assume Jackson is a knight. No contradiction is found in their claim that Jacob is not a knight.", "Jacob cannot be a knight, because this would contradict the claim of Jackson that Jacob is not a knight.", "Assume Jacob is a knave. No contradiction is found in their false claim that Jacob is a knight and Daniel is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 3), ('telling-truth', 4)), ('and', ('telling-truth', 4), ('telling-truth', 2)), ('->', ('telling-truth', 1), ('lying', 0)), ('not', ('lying', 0)), ('not', ('lying', 3)), ('not', ('telling-truth', 6)), ('and', ('telling-truth', 6), ('telling-truth', 1)))", "index": 739}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Sebastian, William, Mia, Scarlett, Victoria, Lily, and Aria. Sebastian expressed that William is a knight. William expressed that Scarlett is a knight and Sebastian is a knave. Mia told you that Mia is a knight if and only if Sebastian is a knave. \"Mia is a knave\" - Scarlett. Victoria expressed that Mia is a knight or Victoria is a knight. Lily was heard saying, \"William is a knight if and only if William is a knave\". \"Mia is not a knight,\" Aria claimed. So who is a knight and who is a knave?", "names": ["Sebastian", "William", "Mia", "Scarlett", "Victoria", "Lily", "Aria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false, true, false, false], "solution_text": "Sebastian is a knave, William is a knave, Mia is a knight, Scarlett is a knave, Victoria is a knight, Lily is a knave, and Aria is a knave.", "solution_text_format": "(1) Sebastian is a knave\n(2) William is a knave\n(3) Mia is a knight\n(4) Scarlett is a knave\n(5) Victoria is a knight\n(6) Lily is a knave\n(7) Aria is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sebastian is a knight. No contradiction is found in their claim that William is a knight.", "William cannot be a knight, because this would contradict the claim of their own that Scarlett is a knight and Sebastian is a knave.", "William cannot be a knave, because this would contradict the claim of Sebastian that William is a knight.", "We have exhausted all possibilities for William, so let us go back and reconsider Sebastian.", "Assume Sebastian is a knave. No contradiction is found in their false claim that William is a knight.", "William cannot be a knight, because this would contradict the false claim of Sebastian that William is a knight.", "Assume William is a knave. No contradiction is found in their false claim that Scarlett is a knight and Sebastian is a knave.", "Scarlett cannot be a knight, because this would contradict the false claim of William that Scarlett is a knight and Sebastian is a knave.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Mia is a knave.", "Assume Mia is a knight. No contradiction is found in their claim that Mia is a knight if and only if Sebastian is a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that Mia is a knight or Victoria is a knight.", "Lily cannot be a knight, because this would contradict the claim of their own that William is a knight if and only if William is a knave.", "Assume Lily is a knave. No contradiction is found in their false claim that William is a knight if and only if William is a knave.", "Aria cannot be a knight, because this would contradict the claim of their own that Mia is not a knight.", "Assume Aria is a knave. No contradiction is found in their false claim that Mia is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 1), ('and', ('telling-truth', 3), ('lying', 0)), ('<=>', ('telling-truth', 2), ('lying', 0)), ('lying', 2), ('or', ('telling-truth', 2), ('telling-truth', 4)), ('<=>', ('telling-truth', 1), ('lying', 1)), ('not', ('telling-truth', 2)))", "index": 740}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Jack, Oliver, Aria, Emma, Charlotte, Jackson, and Sebastian. Jack said, \"Charlotte is a knight if and only if Jackson is a knave.\" Oliver commented, \"Jackson is a knight\". Aria stated, \"Emma is a knave or Sebastian is a knave\". In a statement by Emma: \"If Sebastian is a knave then Jack is a knave\". \"Jackson is a knight and Emma is a knight,\" Charlotte mentioned. Jackson commented, \"Emma is a knave and Oliver is a knave\". Sebastian was heard saying, \"Jackson is a knight if and only if Jackson is a knave\". So who is a knight and who is a knave?", "names": ["Jack", "Oliver", "Aria", "Emma", "Charlotte", "Jackson", "Sebastian"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true, false, false, false], "solution_text": "Jack is a knave, Oliver is a knave, Aria is a knight, Emma is a knight, Charlotte is a knave, Jackson is a knave, and Sebastian is a knave.", "solution_text_format": "(1) Jack is a knave\n(2) Oliver is a knave\n(3) Aria is a knight\n(4) Emma is a knight\n(5) Charlotte is a knave\n(6) Jackson is a knave\n(7) Sebastian is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jack is a knight. No contradiction is found in their claim that Charlotte is a knight if and only if Jackson is a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that Jackson is a knight and Emma is a knight.", "Jackson cannot be a knight, because this would contradict the claim of Jack that Charlotte is a knight if and only if Jackson is a knave.", "Jackson cannot be a knave, because this would contradict the claim of Charlotte that Jackson is a knight and Emma is a knight.", "We have exhausted all possibilities for Jackson, so let us go back and reconsider Charlotte.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Jackson is a knight and Emma is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that Emma is a knave and Oliver is a knave.", "Emma cannot be a knight, because this would contradict the false claim of Charlotte that Jackson is a knight and Emma is a knight.", "Assume Emma is a knave. No contradiction is found in their false claim that If Sebastian is a knave then Jack is a knave.", "Sebastian cannot be a knight, because this would contradict the false claim of Emma that If Sebastian is a knave then Jack is a knave.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Jackson is a knight if and only if Jackson is a knave.", "Oliver cannot be a knight, because this would contradict the claim of Jackson that Emma is a knave and Oliver is a knave.", "Oliver cannot be a knave, because this would contradict the false claim of their own that Jackson is a knight.", "We have exhausted all possibilities for Oliver, Sebastian, and Emma, so let us go back and reconsider Jackson.", "Jackson cannot be a knave, because this would contradict the claim of Jack that Charlotte is a knight if and only if Jackson is a knave.", "We have exhausted all possibilities for Jackson and Charlotte, so let us go back and reconsider Jack.", "Assume Jack is a knave. No contradiction is found in their false claim that Charlotte is a knight if and only if Jackson is a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that Jackson is a knight and Emma is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that Emma is a knave and Oliver is a knave.", "Emma cannot be a knight, because this would contradict the claim of Jackson that Emma is a knave and Oliver is a knave.", "Emma cannot be a knave, because this would contradict the false claim of their own that If Sebastian is a knave then Jack is a knave.", "We have exhausted all possibilities for Emma, so let us go back and reconsider Jackson.", "Jackson cannot be a knave, because this would contradict the false claim of Jack that Charlotte is a knight if and only if Jackson is a knave.", "We have exhausted all possibilities for Jackson, so let us go back and reconsider Charlotte.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Jackson is a knight and Emma is a knight.", "Jackson cannot be a knight, because this would contradict the false claim of Jack that Charlotte is a knight if and only if Jackson is a knave.", "Assume Jackson is a knave. No contradiction is found in their false claim that Emma is a knave and Oliver is a knave.", "Assume Emma is a knight. No contradiction is found in their claim that If Sebastian is a knave then Jack is a knave.", "Sebastian cannot be a knight, because this would contradict the claim of their own that Jackson is a knight if and only if Jackson is a knave.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Jackson is a knight if and only if Jackson is a knave.", "Oliver cannot be a knight, because this would contradict the claim of their own that Jackson is a knight.", "Assume Oliver is a knave. No contradiction is found in their false claim that Jackson is a knight.", "Assume Aria is a knight. No contradiction is found in their claim that Emma is a knave or Sebastian is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 4), ('lying', 5)), ('telling-truth', 5), ('or', ('lying', 3), ('lying', 6)), ('->', ('lying', 6), ('lying', 0)), ('and', ('telling-truth', 5), ('telling-truth', 3)), ('and', ('lying', 3), ('lying', 1)), ('<=>', ('telling-truth', 5), ('lying', 5)))", "index": 741}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Joseph, Chloe, Noah, Daniel, Jacob, Oliver, and Jack. \"Jack is a knave,\" Joseph declared. As Chloe put it, \"Noah is a knave or Oliver is a knave\". In Noah's words: \"Jack is a knight if and only if Joseph is a knave\". Daniel told you that Noah is a knave or Noah is a knight. \"Daniel is a knave or Noah is a knave,\" Jacob mentioned. Oliver commented, \"Noah is a knave and Jacob is a knight\". \"Joseph is a knight or Jack is a knight,\" Jack declared. So who is a knight and who is a knave?", "names": ["Joseph", "Chloe", "Noah", "Daniel", "Jacob", "Oliver", "Jack"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, false, false, true], "solution_text": "Joseph is a knave, Chloe is a knight, Noah is a knight, Daniel is a knight, Jacob is a knave, Oliver is a knave, and Jack is a knight.", "solution_text_format": "(1) Joseph is a knave\n(2) Chloe is a knight\n(3) Noah is a knight\n(4) Daniel is a knight\n(5) Jacob is a knave\n(6) Oliver is a knave\n(7) Jack is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Joseph is a knight. No contradiction is found in their claim that Jack is a knave.", "Jack cannot be a knight, because this would contradict the claim of Joseph that Jack is a knave.", "Jack cannot be a knave, because this would contradict the false claim of their own that Joseph is a knight or Jack is a knight.", "We have exhausted all possibilities for Jack, so let us go back and reconsider Joseph.", "Assume Joseph is a knave. No contradiction is found in their false claim that Jack is a knave.", "Assume Jack is a knight. No contradiction is found in their claim that Joseph is a knight or Jack is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that Noah is a knave or Oliver is a knave.", "Assume Noah is a knight. No contradiction is found in their claim that Jack is a knight if and only if Joseph is a knave.", "Oliver cannot be a knight, because this would contradict the claim of Chloe that Noah is a knave or Oliver is a knave.", "Assume Oliver is a knave. No contradiction is found in their false claim that Noah is a knave and Jacob is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that Daniel is a knave or Noah is a knave.", "Daniel cannot be a knight, because this would contradict the claim of Jacob that Daniel is a knave or Noah is a knave.", "Daniel cannot be a knave, because this would contradict the false claim of their own that Noah is a knave or Noah is a knight.", "We have exhausted all possibilities for Daniel, so let us go back and reconsider Jacob.", "Assume Jacob is a knave. No contradiction is found in their false claim that Daniel is a knave or Noah is a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that Noah is a knave or Noah is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 6), ('or', ('lying', 2), ('lying', 5)), ('<=>', ('telling-truth', 6), ('lying', 0)), ('or', ('lying', 2), ('telling-truth', 2)), ('or', ('lying', 3), ('lying', 2)), ('and', ('lying', 2), ('telling-truth', 4)), ('or', ('telling-truth', 0), ('telling-truth', 6)))", "index": 742}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Ethan, Mason, Jacob, Aiden, Samuel, Jack, and Emma. Ethan said that Mason is a knave. In a statement by Mason: \"Emma is a knave\". According to Jacob, \"If Ethan is a knave then Jack is a knave\". In Aiden's words: \"Samuel is a knave if and only if Emma is a knight\". Samuel noted, \"Aiden is a knight\". In a statement by Jack: \"Jacob is a knave and Samuel is a knave\". According to Emma, \"Mason is a knave or Aiden is a knave\". So who is a knight and who is a knave?", "names": ["Ethan", "Mason", "Jacob", "Aiden", "Samuel", "Jack", "Emma"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, true, false, false], "solution_text": "Ethan is a knave, Mason is a knight, Jacob is a knight, Aiden is a knight, Samuel is a knight, Jack is a knave, and Emma is a knave.", "solution_text_format": "(1) Ethan is a knave\n(2) Mason is a knight\n(3) Jacob is a knight\n(4) Aiden is a knight\n(5) Samuel is a knight\n(6) Jack is a knave\n(7) Emma is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ethan is a knight. No contradiction is found in their claim that Mason is a knave.", "Mason cannot be a knight, because this would contradict the claim of Ethan that Mason is a knave.", "Assume Mason is a knave. No contradiction is found in their false claim that Emma is a knave.", "Assume Emma is a knight. No contradiction is found in their claim that Mason is a knave or Aiden is a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that Samuel is a knave if and only if Emma is a knight.", "Samuel cannot be a knight, because this would contradict the claim of Aiden that Samuel is a knave if and only if Emma is a knight.", "Samuel cannot be a knave, because this would contradict the false claim of their own that Aiden is a knight.", "We have exhausted all possibilities for Samuel, so let us go back and reconsider Aiden.", "Assume Aiden is a knave. No contradiction is found in their false claim that Samuel is a knave if and only if Emma is a knight.", "Samuel cannot be a knight, because this would contradict the claim of their own that Aiden is a knight.", "Samuel cannot be a knave, because this would contradict the false claim of Aiden that Samuel is a knave if and only if Emma is a knight.", "We have exhausted all possibilities for Samuel and Aiden, so let us go back and reconsider Emma.", "Emma cannot be a knave, because this would contradict the false claim of Mason that Emma is a knave.", "We have exhausted all possibilities for Emma and Mason, so let us go back and reconsider Ethan.", "Assume Ethan is a knave. No contradiction is found in their false claim that Mason is a knave.", "Assume Mason is a knight. No contradiction is found in their claim that Emma is a knave.", "Emma cannot be a knight, because this would contradict the claim of Mason that Emma is a knave.", "Assume Emma is a knave. No contradiction is found in their false claim that Mason is a knave or Aiden is a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that Samuel is a knave if and only if Emma is a knight.", "Assume Samuel is a knight. No contradiction is found in their claim that Aiden is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that If Ethan is a knave then Jack is a knave.", "Jack cannot be a knight, because this would contradict the claim of Jacob that If Ethan is a knave then Jack is a knave.", "Assume Jack is a knave. No contradiction is found in their false claim that Jacob is a knave and Samuel is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('lying', 6), ('->', ('lying', 0), ('lying', 5)), ('<=>', ('lying', 4), ('telling-truth', 6)), ('telling-truth', 3), ('and', ('lying', 2), ('lying', 4)), ('or', ('lying', 1), ('lying', 3)))", "index": 743}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Chloe, Grace, Olivia, Aria, Lucas, David, and Jack. In Chloe's words: \"David is not a knight\". Grace noted, \"Chloe is a knight if and only if Lucas is a knave\". Olivia told you that Grace is a knave. Aria said, \"Jack is a knave and Lucas is a knight.\" Lucas asserted: \"Aria is not a knave\". In David's words: \"Olivia is not a knight\". In Jack's words: \"If Chloe is a knave then Grace is a knave\". So who is a knight and who is a knave?", "names": ["Chloe", "Grace", "Olivia", "Aria", "Lucas", "David", "Jack"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true, true, true, false], "solution_text": "Chloe is a knave, Grace is a knight, Olivia is a knave, Aria is a knight, Lucas is a knight, David is a knight, and Jack is a knave.", "solution_text_format": "(1) Chloe is a knave\n(2) Grace is a knight\n(3) Olivia is a knave\n(4) Aria is a knight\n(5) Lucas is a knight\n(6) David is a knight\n(7) Jack is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Chloe is a knight. No contradiction is found in their claim that David is not a knight.", "David cannot be a knight, because this would contradict the claim of Chloe that David is not a knight.", "Assume David is a knave. No contradiction is found in their false claim that Olivia is not a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that Grace is a knave.", "Grace cannot be a knight, because this would contradict the claim of Olivia that Grace is a knave.", "Assume Grace is a knave. No contradiction is found in their false claim that Chloe is a knight if and only if Lucas is a knave.", "Assume Lucas is a knight. No contradiction is found in their claim that Aria is not a knave.", "Assume Aria is a knight. No contradiction is found in their claim that Jack is a knave and Lucas is a knight.", "Jack cannot be a knight, because this would contradict the claim of Aria that Jack is a knave and Lucas is a knight.", "Jack cannot be a knave, because this would contradict the false claim of their own that If Chloe is a knave then Grace is a knave.", "We have exhausted all possibilities for Jack, so let us go back and reconsider Aria.", "Aria cannot be a knave, because this would contradict the claim of Lucas that Aria is not a knave.", "We have exhausted all possibilities for Aria, so let us go back and reconsider Lucas.", "Lucas cannot be a knave, because this would contradict the false claim of Grace that Chloe is a knight if and only if Lucas is a knave.", "We have exhausted all possibilities for Lucas and Grace, so let us go back and reconsider Olivia.", "Olivia cannot be a knave, because this would contradict the false claim of David that Olivia is not a knight.", "We have exhausted all possibilities for Olivia and David, so let us go back and reconsider Chloe.", "Assume Chloe is a knave. No contradiction is found in their false claim that David is not a knight.", "Assume David is a knight. No contradiction is found in their claim that Olivia is not a knight.", "Olivia cannot be a knight, because this would contradict the claim of David that Olivia is not a knight.", "Assume Olivia is a knave. No contradiction is found in their false claim that Grace is a knave.", "Assume Grace is a knight. No contradiction is found in their claim that Chloe is a knight if and only if Lucas is a knave.", "Assume Lucas is a knight. No contradiction is found in their claim that Aria is not a knave.", "Assume Aria is a knight. No contradiction is found in their claim that Jack is a knave and Lucas is a knight.", "Jack cannot be a knight, because this would contradict the claim of Aria that Jack is a knave and Lucas is a knight.", "Assume Jack is a knave. No contradiction is found in their false claim that If Chloe is a knave then Grace is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 5)), ('<=>', ('telling-truth', 0), ('lying', 4)), ('lying', 1), ('and', ('lying', 6), ('telling-truth', 4)), ('not', ('lying', 3)), ('not', ('telling-truth', 2)), ('->', ('lying', 0), ('lying', 1)))", "index": 744}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Jackson, Olivia, Sophia, Logan, Chloe, Emma, and Aria. Jackson asserted: \"Emma is a knave\". Olivia stated, \"If Chloe is a knight then Logan is a knave\". In a statement by Sophia: \"Emma is not a knave\". \"Jackson is a knave,\" Logan claimed. As Chloe put it, \"Emma is not a knight\". \"Olivia is a knight,\" Emma claimed. Aria stated, \"If Chloe is a knave then Olivia is a knave\". So who is a knight and who is a knave?", "names": ["Jackson", "Olivia", "Sophia", "Logan", "Chloe", "Emma", "Aria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, false, true, false], "solution_text": "Jackson is a knave, Olivia is a knight, Sophia is a knight, Logan is a knight, Chloe is a knave, Emma is a knight, and Aria is a knave.", "solution_text_format": "(1) Jackson is a knave\n(2) Olivia is a knight\n(3) Sophia is a knight\n(4) Logan is a knight\n(5) Chloe is a knave\n(6) Emma is a knight\n(7) Aria is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jackson is a knight. No contradiction is found in their claim that Emma is a knave.", "Emma cannot be a knight, because this would contradict the claim of Jackson that Emma is a knave.", "Assume Emma is a knave. No contradiction is found in their false claim that Olivia is a knight.", "Olivia cannot be a knight, because this would contradict the false claim of Emma that Olivia is a knight.", "Assume Olivia is a knave. No contradiction is found in their false claim that If Chloe is a knight then Logan is a knave.", "Assume Chloe is a knight. No contradiction is found in their claim that Emma is not a knight.", "Logan cannot be a knight, because this would contradict the claim of their own that Jackson is a knave.", "Logan cannot be a knave, because this would contradict the false claim of Olivia that If Chloe is a knight then Logan is a knave.", "We have exhausted all possibilities for Logan, so let us go back and reconsider Chloe.", "Chloe cannot be a knave, because this would contradict the false claim of Olivia that If Chloe is a knight then Logan is a knave.", "We have exhausted all possibilities for Chloe, Olivia, and Emma, so let us go back and reconsider Jackson.", "Assume Jackson is a knave. No contradiction is found in their false claim that Emma is a knave.", "Assume Emma is a knight. No contradiction is found in their claim that Olivia is a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that If Chloe is a knight then Logan is a knave.", "Chloe cannot be a knight, because this would contradict the claim of their own that Emma is not a knight.", "Assume Chloe is a knave. No contradiction is found in their false claim that Emma is not a knight.", "Assume Logan is a knight. No contradiction is found in their claim that Jackson is a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that Emma is not a knave.", "Aria cannot be a knight, because this would contradict the claim of their own that If Chloe is a knave then Olivia is a knave.", "Assume Aria is a knave. No contradiction is found in their false claim that If Chloe is a knave then Olivia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 5), ('->', ('telling-truth', 4), ('lying', 3)), ('not', ('lying', 5)), ('lying', 0), ('not', ('telling-truth', 5)), ('telling-truth', 1), ('->', ('lying', 4), ('lying', 1)))", "index": 745}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Lucas, Charlotte, Sofia, Benjamin, Oliver, Ethan, and Riley. Lucas was heard saying, \"Sofia is a knave\". \"Charlotte is a knight if and only if Oliver is a knight,\" Charlotte declared. Sofia commented, \"Riley is a knight\". In a statement by Benjamin: \"Riley is a knave and Sofia is a knight\". Oliver commented, \"Lucas is not a knight\". \"Charlotte is a knight or Oliver is a knave,\" Ethan claimed. In Riley's words: \"Ethan is not a knight\". So who is a knight and who is a knave?", "names": ["Lucas", "Charlotte", "Sofia", "Benjamin", "Oliver", "Ethan", "Riley"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false, true, false, true], "solution_text": "Lucas is a knave, Charlotte is a knave, Sofia is a knight, Benjamin is a knave, Oliver is a knight, Ethan is a knave, and Riley is a knight.", "solution_text_format": "(1) Lucas is a knave\n(2) Charlotte is a knave\n(3) Sofia is a knight\n(4) Benjamin is a knave\n(5) Oliver is a knight\n(6) Ethan is a knave\n(7) Riley is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Lucas is a knight. No contradiction is found in their claim that Sofia is a knave.", "Sofia cannot be a knight, because this would contradict the claim of Lucas that Sofia is a knave.", "Assume Sofia is a knave. No contradiction is found in their false claim that Riley is a knight.", "Riley cannot be a knight, because this would contradict the false claim of Sofia that Riley is a knight.", "Assume Riley is a knave. No contradiction is found in their false claim that Ethan is not a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that Charlotte is a knight or Oliver is a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that Charlotte is a knight if and only if Oliver is a knight.", "Oliver cannot be a knight, because this would contradict the claim of their own that Lucas is not a knight.", "Oliver cannot be a knave, because this would contradict the claim of Charlotte that Charlotte is a knight if and only if Oliver is a knight.", "We have exhausted all possibilities for Oliver, so let us go back and reconsider Charlotte.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Charlotte is a knight if and only if Oliver is a knight.", "Oliver cannot be a knight, because this would contradict the claim of their own that Lucas is not a knight.", "Oliver cannot be a knave, because this would contradict the false claim of Charlotte that Charlotte is a knight if and only if Oliver is a knight.", "We have exhausted all possibilities for Oliver and Charlotte, so let us go back and reconsider Ethan.", "Ethan cannot be a knave, because this would contradict the false claim of Riley that Ethan is not a knight.", "We have exhausted all possibilities for Ethan, Riley, and Sofia, so let us go back and reconsider Lucas.", "Assume Lucas is a knave. No contradiction is found in their false claim that Sofia is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that Riley is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that Ethan is not a knight.", "Ethan cannot be a knight, because this would contradict the claim of Riley that Ethan is not a knight.", "Assume Ethan is a knave. No contradiction is found in their false claim that Charlotte is a knight or Oliver is a knave.", "Charlotte cannot be a knight, because this would contradict the false claim of Ethan that Charlotte is a knight or Oliver is a knave.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Charlotte is a knight if and only if Oliver is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that Lucas is not a knight.", "Benjamin cannot be a knight, because this would contradict the claim of their own that Riley is a knave and Sofia is a knight.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Riley is a knave and Sofia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 2), ('<=>', ('telling-truth', 1), ('telling-truth', 4)), ('telling-truth', 6), ('and', ('lying', 6), ('telling-truth', 2)), ('not', ('telling-truth', 0)), ('or', ('telling-truth', 1), ('lying', 4)), ('not', ('telling-truth', 5)))", "index": 746}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Scarlett, Charlotte, Emily, Sophia, Noah, Harper, and Penelope. \"If Penelope is a knight then Sophia is a knight,\" Scarlett declared. Charlotte told you that Noah is a knight and Harper is a knight. Emily was heard saying, \"Scarlett is a knight and Noah is a knight\". According to Sophia, \"Sophia is a knight if and only if Harper is a knave\". Noah stated, \"Noah is a knight if and only if Scarlett is a knave\". \"If Noah is a knight then Penelope is a knave\" - Harper. Penelope expressed that Sophia is a knave if and only if Harper is a knave. So who is a knight and who is a knave?", "names": ["Scarlett", "Charlotte", "Emily", "Sophia", "Noah", "Harper", "Penelope"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, false, true, false, true], "solution_text": "Scarlett is a knave, Charlotte is a knave, Emily is a knave, Sophia is a knave, Noah is a knight, Harper is a knave, and Penelope is a knight.", "solution_text_format": "(1) Scarlett is a knave\n(2) Charlotte is a knave\n(3) Emily is a knave\n(4) Sophia is a knave\n(5) Noah is a knight\n(6) Harper is a knave\n(7) Penelope is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Scarlett is a knight. No contradiction is found in their claim that If Penelope is a knight then Sophia is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that Sophia is a knave if and only if Harper is a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that Sophia is a knight if and only if Harper is a knave.", "Harper cannot be a knight, because this would contradict the claim of Sophia that Sophia is a knight if and only if Harper is a knave.", "Harper cannot be a knave, because this would contradict the claim of Penelope that Sophia is a knave if and only if Harper is a knave.", "We have exhausted all possibilities for Harper, so let us go back and reconsider Sophia.", "Sophia cannot be a knave, because this would contradict the claim of Scarlett that If Penelope is a knight then Sophia is a knight.", "We have exhausted all possibilities for Sophia, so let us go back and reconsider Penelope.", "Assume Penelope is a knave. No contradiction is found in their false claim that Sophia is a knave if and only if Harper is a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that Sophia is a knight if and only if Harper is a knave.", "Harper cannot be a knight, because this would contradict the claim of Sophia that Sophia is a knight if and only if Harper is a knave.", "Harper cannot be a knave, because this would contradict the false claim of their own that If Noah is a knight then Penelope is a knave.", "We have exhausted all possibilities for Harper, so let us go back and reconsider Sophia.", "Assume Sophia is a knave. No contradiction is found in their false claim that Sophia is a knight if and only if Harper is a knave.", "Harper cannot be a knight, because this would contradict the false claim of Sophia that Sophia is a knight if and only if Harper is a knave.", "Harper cannot be a knave, because this would contradict the false claim of their own that If Noah is a knight then Penelope is a knave.", "We have exhausted all possibilities for Harper, Sophia, and Penelope, so let us go back and reconsider Scarlett.", "Assume Scarlett is a knave. No contradiction is found in their false claim that If Penelope is a knight then Sophia is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that Sophia is a knave if and only if Harper is a knave.", "Sophia cannot be a knight, because this would contradict the false claim of Scarlett that If Penelope is a knight then Sophia is a knight.", "Assume Sophia is a knave. No contradiction is found in their false claim that Sophia is a knight if and only if Harper is a knave.", "Harper cannot be a knight, because this would contradict the false claim of Sophia that Sophia is a knight if and only if Harper is a knave.", "Assume Harper is a knave. No contradiction is found in their false claim that If Noah is a knight then Penelope is a knave.", "Assume Noah is a knight. No contradiction is found in their claim that Noah is a knight if and only if Scarlett is a knave.", "Charlotte cannot be a knight, because this would contradict the claim of their own that Noah is a knight and Harper is a knight.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Noah is a knight and Harper is a knight.", "Emily cannot be a knight, because this would contradict the claim of their own that Scarlett is a knight and Noah is a knight.", "Assume Emily is a knave. No contradiction is found in their false claim that Scarlett is a knight and Noah is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 6), ('telling-truth', 3)), ('and', ('telling-truth', 4), ('telling-truth', 5)), ('and', ('telling-truth', 0), ('telling-truth', 4)), ('<=>', ('telling-truth', 3), ('lying', 5)), ('<=>', ('telling-truth', 4), ('lying', 0)), ('->', ('telling-truth', 4), ('lying', 6)), ('<=>', ('lying', 3), ('lying', 5)))", "index": 747}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Isabella, Liam, Owen, Grace, Ethan, Michael, and Sophia. Isabella told you that Michael is a knight and Michael is a knave. Liam noted, \"Ethan is a knight or Michael is a knight\". \"If Grace is a knave then Ethan is a knight,\" Owen mentioned. According to Grace, \"If Isabella is a knave then Ethan is a knave\". \"Liam is a knight\" - Ethan. \"Grace is a knave if and only if Isabella is a knight,\" Michael declared. \"Ethan is a knave,\" Sophia claimed. So who is a knight and who is a knave?", "names": ["Isabella", "Liam", "Owen", "Grace", "Ethan", "Michael", "Sophia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false, true, false, false], "solution_text": "Isabella is a knave, Liam is a knight, Owen is a knight, Grace is a knave, Ethan is a knight, Michael is a knave, and Sophia is a knave.", "solution_text_format": "(1) Isabella is a knave\n(2) Liam is a knight\n(3) Owen is a knight\n(4) Grace is a knave\n(5) Ethan is a knight\n(6) Michael is a knave\n(7) Sophia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Isabella cannot be a knight, because this would contradict the claim of their own that Michael is a knight and Michael is a knave.", "Assume Isabella is a knave. No contradiction is found in their false claim that Michael is a knight and Michael is a knave.", "Assume Michael is a knight. No contradiction is found in their claim that Grace is a knave if and only if Isabella is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that If Isabella is a knave then Ethan is a knave.", "Ethan cannot be a knight, because this would contradict the claim of Grace that If Isabella is a knave then Ethan is a knave.", "Assume Ethan is a knave. No contradiction is found in their false claim that Liam is a knight.", "Liam cannot be a knight, because this would contradict the false claim of Ethan that Liam is a knight.", "Liam cannot be a knave, because this would contradict the false claim of their own that Ethan is a knight or Michael is a knight.", "We have exhausted all possibilities for Liam and Ethan, so let us go back and reconsider Grace.", "Grace cannot be a knave, because this would contradict the claim of Michael that Grace is a knave if and only if Isabella is a knight.", "We have exhausted all possibilities for Grace, so let us go back and reconsider Michael.", "Assume Michael is a knave. No contradiction is found in their false claim that Grace is a knave if and only if Isabella is a knight.", "Grace cannot be a knight, because this would contradict the false claim of Michael that Grace is a knave if and only if Isabella is a knight.", "Assume Grace is a knave. No contradiction is found in their false claim that If Isabella is a knave then Ethan is a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that Liam is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that Ethan is a knight or Michael is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that If Grace is a knave then Ethan is a knight.", "Sophia cannot be a knight, because this would contradict the claim of their own that Ethan is a knave.", "Assume Sophia is a knave. No contradiction is found in their false claim that Ethan is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 5), ('lying', 5)), ('or', ('telling-truth', 4), ('telling-truth', 5)), ('->', ('lying', 3), ('telling-truth', 4)), ('->', ('lying', 0), ('lying', 4)), ('telling-truth', 1), ('<=>', ('lying', 3), ('telling-truth', 0)), ('lying', 4))", "index": 748}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Lucas, Ella, Noah, Penelope, Emily, Mia, and William. Lucas remarked, \"William is a knave or Mia is a knight\". Ella told you that Mia is a knight and William is a knave. Noah was heard saying, \"Ella is a knight if and only if Penelope is a knave\". Penelope said that If Emily is a knave then Mia is a knight. Emily remarked, \"Noah is a knave and Penelope is a knight\". \"Ella is not a knave,\" Mia mentioned. William said, \"Emily is not a knave.\" So who is a knight and who is a knave?", "names": ["Lucas", "Ella", "Noah", "Penelope", "Emily", "Mia", "William"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false, false, false, false], "solution_text": "Lucas is a knight, Ella is a knave, Noah is a knave, Penelope is a knave, Emily is a knave, Mia is a knave, and William is a knave.", "solution_text_format": "(1) Lucas is a knight\n(2) Ella is a knave\n(3) Noah is a knave\n(4) Penelope is a knave\n(5) Emily is a knave\n(6) Mia is a knave\n(7) William is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Lucas is a knight. No contradiction is found in their claim that William is a knave or Mia is a knight.", "Assume William is a knight. No contradiction is found in their claim that Emily is not a knave.", "Assume Emily is a knight. No contradiction is found in their claim that Noah is a knave and Penelope is a knight.", "Noah cannot be a knight, because this would contradict the claim of Emily that Noah is a knave and Penelope is a knight.", "Assume Noah is a knave. No contradiction is found in their false claim that Ella is a knight if and only if Penelope is a knave.", "Ella cannot be a knight, because this would contradict the claim of their own that Mia is a knight and William is a knave.", "Assume Ella is a knave. No contradiction is found in their false claim that Mia is a knight and William is a knave.", "Mia cannot be a knight, because this would contradict the claim of their own that Ella is not a knave.", "Mia cannot be a knave, because this would contradict the claim of Lucas that William is a knave or Mia is a knight.", "We have exhausted all possibilities for Mia, Ella, and Noah, so let us go back and reconsider Emily.", "Emily cannot be a knave, because this would contradict the claim of William that Emily is not a knave.", "We have exhausted all possibilities for Emily, so let us go back and reconsider William.", "Assume William is a knave. No contradiction is found in their false claim that Emily is not a knave.", "Emily cannot be a knight, because this would contradict the false claim of William that Emily is not a knave.", "Assume Emily is a knave. No contradiction is found in their false claim that Noah is a knave and Penelope is a knight.", "Assume Noah is a knight. No contradiction is found in their claim that Ella is a knight if and only if Penelope is a knave.", "Assume Ella is a knight. No contradiction is found in their claim that Mia is a knight and William is a knave.", "Assume Mia is a knight. No contradiction is found in their claim that Ella is not a knave.", "Penelope cannot be a knight, because this would contradict the claim of Noah that Ella is a knight if and only if Penelope is a knave.", "Penelope cannot be a knave, because this would contradict the false claim of their own that If Emily is a knave then Mia is a knight.", "We have exhausted all possibilities for Penelope, so let us go back and reconsider Mia.", "Mia cannot be a knave, because this would contradict the claim of Ella that Mia is a knight and William is a knave.", "We have exhausted all possibilities for Mia, so let us go back and reconsider Ella.", "Assume Ella is a knave. No contradiction is found in their false claim that Mia is a knight and William is a knave.", "Mia cannot be a knight, because this would contradict the false claim of Ella that Mia is a knight and William is a knave.", "Assume Mia is a knave. No contradiction is found in their false claim that Ella is not a knave.", "Penelope cannot be a knight, because this would contradict the claim of their own that If Emily is a knave then Mia is a knight.", "Penelope cannot be a knave, because this would contradict the claim of Noah that Ella is a knight if and only if Penelope is a knave.", "We have exhausted all possibilities for Penelope, Mia, and Ella, so let us go back and reconsider Noah.", "Assume Noah is a knave. No contradiction is found in their false claim that Ella is a knight if and only if Penelope is a knave.", "Assume Ella is a knight. No contradiction is found in their claim that Mia is a knight and William is a knave.", "Assume Mia is a knight. No contradiction is found in their claim that Ella is not a knave.", "Penelope cannot be a knight, because this would contradict the false claim of Emily that Noah is a knave and Penelope is a knight.", "Penelope cannot be a knave, because this would contradict the false claim of Noah that Ella is a knight if and only if Penelope is a knave.", "We have exhausted all possibilities for Penelope, so let us go back and reconsider Mia.", "Mia cannot be a knave, because this would contradict the claim of Ella that Mia is a knight and William is a knave.", "We have exhausted all possibilities for Mia, so let us go back and reconsider Ella.", "Assume Ella is a knave. No contradiction is found in their false claim that Mia is a knight and William is a knave.", "Mia cannot be a knight, because this would contradict the false claim of Ella that Mia is a knight and William is a knave.", "Assume Mia is a knave. No contradiction is found in their false claim that Ella is not a knave.", "Penelope cannot be a knight, because this would contradict the false claim of Noah that Ella is a knight if and only if Penelope is a knave.", "Assume Penelope is a knave. No contradiction is found in their false claim that If Emily is a knave then Mia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 6), ('telling-truth', 5)), ('and', ('telling-truth', 5), ('lying', 6)), ('<=>', ('telling-truth', 1), ('lying', 3)), ('->', ('lying', 4), ('telling-truth', 5)), ('and', ('lying', 2), ('telling-truth', 3)), ('not', ('lying', 1)), ('not', ('lying', 4)))", "index": 749}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Owen, Olivia, William, Emma, Samuel, Aiden, and James. \"Samuel is a knave if and only if Owen is a knight,\" Owen mentioned. In Olivia's words: \"James is a knave\". William stated, \"James is a knave if and only if Owen is a knave\". Emma told you that William is a knave or Emma is a knight. Samuel said, \"James is a knight and Emma is a knight.\" Aiden commented, \"Emma is a knave\". As James put it, \"Owen is a knave or Samuel is a knave\". So who is a knight and who is a knave?", "names": ["Owen", "Olivia", "William", "Emma", "Samuel", "Aiden", "James"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false, false, true, true], "solution_text": "Owen is a knight, Olivia is a knave, William is a knight, Emma is a knave, Samuel is a knave, Aiden is a knight, and James is a knight.", "solution_text_format": "(1) Owen is a knight\n(2) Olivia is a knave\n(3) William is a knight\n(4) Emma is a knave\n(5) Samuel is a knave\n(6) Aiden is a knight\n(7) James is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Owen is a knight. No contradiction is found in their claim that Samuel is a knave if and only if Owen is a knight.", "Samuel cannot be a knight, because this would contradict the claim of Owen that Samuel is a knave if and only if Owen is a knight.", "Assume Samuel is a knave. No contradiction is found in their false claim that James is a knight and Emma is a knight.", "Assume James is a knight. No contradiction is found in their claim that Owen is a knave or Samuel is a knave.", "Emma cannot be a knight, because this would contradict the false claim of Samuel that James is a knight and Emma is a knight.", "Assume Emma is a knave. No contradiction is found in their false claim that William is a knave or Emma is a knight.", "Assume William is a knight. No contradiction is found in their claim that James is a knave if and only if Owen is a knave.", "Olivia cannot be a knight, because this would contradict the claim of their own that James is a knave.", "Assume Olivia is a knave. No contradiction is found in their false claim that James is a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that Emma is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 4), ('telling-truth', 0)), ('lying', 6), ('<=>', ('lying', 6), ('lying', 0)), ('or', ('lying', 2), ('telling-truth', 3)), ('and', ('telling-truth', 6), ('telling-truth', 3)), ('lying', 3), ('or', ('lying', 0), ('lying', 4)))", "index": 750}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Jackson, Michael, Emily, David, William, Sophia, and Harper. Jackson said that Michael is a knave and Michael is a knight. \"William is a knight or Emily is a knight,\" Michael mentioned. Emily expressed that David is a knight and Harper is a knave. David asserted: \"Jackson is a knave if and only if Emily is a knave\". William was heard saying, \"David is a knave if and only if Sophia is a knave\". Sophia said that If Sophia is a knight then Michael is a knight. In a statement by Harper: \"William is a knight\". So who is a knight and who is a knave?", "names": ["Jackson", "Michael", "Emily", "David", "William", "Sophia", "Harper"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true, true, true, true], "solution_text": "Jackson is a knave, Michael is a knight, Emily is a knave, David is a knight, William is a knight, Sophia is a knight, and Harper is a knight.", "solution_text_format": "(1) Jackson is a knave\n(2) Michael is a knight\n(3) Emily is a knave\n(4) David is a knight\n(5) William is a knight\n(6) Sophia is a knight\n(7) Harper is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Jackson cannot be a knight, because this would contradict the claim of their own that Michael is a knave and Michael is a knight.", "Assume Jackson is a knave. No contradiction is found in their false claim that Michael is a knave and Michael is a knight.", "Assume Michael is a knight. No contradiction is found in their claim that William is a knight or Emily is a knight.", "Assume William is a knight. No contradiction is found in their claim that David is a knave if and only if Sophia is a knave.", "Assume David is a knight. No contradiction is found in their claim that Jackson is a knave if and only if Emily is a knave.", "Emily cannot be a knight, because this would contradict the claim of David that Jackson is a knave if and only if Emily is a knave.", "Assume Emily is a knave. No contradiction is found in their false claim that David is a knight and Harper is a knave.", "Assume Harper is a knight. No contradiction is found in their claim that William is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that If Sophia is a knight then Michael is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('telling-truth', 1)), ('or', ('telling-truth', 4), ('telling-truth', 2)), ('and', ('telling-truth', 3), ('lying', 6)), ('<=>', ('lying', 0), ('lying', 2)), ('<=>', ('lying', 3), ('lying', 5)), ('->', ('telling-truth', 5), ('telling-truth', 1)), ('telling-truth', 4))", "index": 751}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Owen, Ava, Mason, Benjamin, Riley, Sofia, and Evelyn. \"Mason is a knave,\" Owen mentioned. Ava told you that Mason is a knight if and only if Owen is a knave. According to Mason, \"If Riley is a knave then Evelyn is a knight\". \"If Owen is a knight then Benjamin is a knight,\" Benjamin mentioned. Riley told you that Benjamin is a knight or Owen is a knave. Sofia stated, \"Benjamin is a knave if and only if Ava is a knight\". In a statement by Evelyn: \"Owen is a knight\". So who is a knight and who is a knave?", "names": ["Owen", "Ava", "Mason", "Benjamin", "Riley", "Sofia", "Evelyn"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, true, false, false], "solution_text": "Owen is a knave, Ava is a knight, Mason is a knight, Benjamin is a knight, Riley is a knight, Sofia is a knave, and Evelyn is a knave.", "solution_text_format": "(1) Owen is a knave\n(2) Ava is a knight\n(3) Mason is a knight\n(4) Benjamin is a knight\n(5) Riley is a knight\n(6) Sofia is a knave\n(7) Evelyn is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Owen is a knight. No contradiction is found in their claim that Mason is a knave.", "Mason cannot be a knight, because this would contradict the claim of Owen that Mason is a knave.", "Assume Mason is a knave. No contradiction is found in their false claim that If Riley is a knave then Evelyn is a knight.", "Riley cannot be a knight, because this would contradict the false claim of Mason that If Riley is a knave then Evelyn is a knight.", "Assume Riley is a knave. No contradiction is found in their false claim that Benjamin is a knight or Owen is a knave.", "Benjamin cannot be a knight, because this would contradict the false claim of Riley that Benjamin is a knight or Owen is a knave.", "Assume Benjamin is a knave. No contradiction is found in their false claim that If Owen is a knight then Benjamin is a knight.", "Evelyn cannot be a knight, because this would contradict the false claim of Mason that If Riley is a knave then Evelyn is a knight.", "Evelyn cannot be a knave, because this would contradict the false claim of their own that Owen is a knight.", "We have exhausted all possibilities for Evelyn, Benjamin, Riley, and Mason, so let us go back and reconsider Owen.", "Assume Owen is a knave. No contradiction is found in their false claim that Mason is a knave.", "Assume Mason is a knight. No contradiction is found in their claim that If Riley is a knave then Evelyn is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that Benjamin is a knight or Owen is a knave.", "Assume Benjamin is a knight. No contradiction is found in their claim that If Owen is a knight then Benjamin is a knight.", "Evelyn cannot be a knight, because this would contradict the claim of their own that Owen is a knight.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Owen is a knight.", "Assume Ava is a knight. No contradiction is found in their claim that Mason is a knight if and only if Owen is a knave.", "Sofia cannot be a knight, because this would contradict the claim of their own that Benjamin is a knave if and only if Ava is a knight.", "Assume Sofia is a knave. No contradiction is found in their false claim that Benjamin is a knave if and only if Ava is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 2), ('<=>', ('telling-truth', 2), ('lying', 0)), ('->', ('lying', 4), ('telling-truth', 6)), ('->', ('telling-truth', 0), ('telling-truth', 3)), ('or', ('telling-truth', 3), ('lying', 0)), ('<=>', ('lying', 3), ('telling-truth', 1)), ('telling-truth', 0))", "index": 752}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Charlotte, Aria, Lucas, Harper, Riley, Grace, and Ella. \"Harper is a knight if and only if Grace is a knave,\" Charlotte mentioned. As Aria put it, \"If Riley is a knight then Riley is a knave\". Lucas said, \"Riley is a knave or Charlotte is a knight.\" \"Charlotte is a knave,\" Harper declared. Riley stated, \"Charlotte is not a knave\". As Grace put it, \"Harper is a knight and Ella is a knight\". In Ella's words: \"Charlotte is a knight or Riley is a knave\". So who is a knight and who is a knave?", "names": ["Charlotte", "Aria", "Lucas", "Harper", "Riley", "Grace", "Ella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, false, true, true], "solution_text": "Charlotte is a knave, Aria is a knight, Lucas is a knight, Harper is a knight, Riley is a knave, Grace is a knight, and Ella is a knight.", "solution_text_format": "(1) Charlotte is a knave\n(2) Aria is a knight\n(3) Lucas is a knight\n(4) Harper is a knight\n(5) Riley is a knave\n(6) Grace is a knight\n(7) Ella is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Charlotte is a knight. No contradiction is found in their claim that Harper is a knight if and only if Grace is a knave.", "Harper cannot be a knight, because this would contradict the claim of their own that Charlotte is a knave.", "Assume Harper is a knave. No contradiction is found in their false claim that Charlotte is a knave.", "Grace cannot be a knight, because this would contradict the claim of their own that Harper is a knight and Ella is a knight.", "Grace cannot be a knave, because this would contradict the claim of Charlotte that Harper is a knight if and only if Grace is a knave.", "We have exhausted all possibilities for Grace and Harper, so let us go back and reconsider Charlotte.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Harper is a knight if and only if Grace is a knave.", "Assume Harper is a knight. No contradiction is found in their claim that Charlotte is a knave.", "Assume Grace is a knight. No contradiction is found in their claim that Harper is a knight and Ella is a knight.", "Assume Ella is a knight. No contradiction is found in their claim that Charlotte is a knight or Riley is a knave.", "Riley cannot be a knight, because this would contradict the claim of their own that Charlotte is not a knave.", "Assume Riley is a knave. No contradiction is found in their false claim that Charlotte is not a knave.", "Assume Aria is a knight. No contradiction is found in their claim that If Riley is a knight then Riley is a knave.", "Assume Lucas is a knight. No contradiction is found in their claim that Riley is a knave or Charlotte is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 3), ('lying', 5)), ('->', ('telling-truth', 4), ('lying', 4)), ('or', ('lying', 4), ('telling-truth', 0)), ('lying', 0), ('not', ('lying', 0)), ('and', ('telling-truth', 3), ('telling-truth', 6)), ('or', ('telling-truth', 0), ('lying', 4)))", "index": 753}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Luke, Zoey, Matthew, Emma, Abigail, Sebastian, and Benjamin. In a statement by Luke: \"Abigail is a knight\". Zoey expressed that Benjamin is a knight or Emma is a knave. Matthew said, \"Abigail is a knave and Benjamin is a knave.\" Emma commented, \"Zoey is a knave or Luke is a knight\". Abigail said that Benjamin is a knave if and only if Luke is a knight. Sebastian said that Zoey is a knave if and only if Abigail is a knave. Benjamin asserted: \"Sebastian is a knight if and only if Benjamin is a knight\". So who is a knight and who is a knave?", "names": ["Luke", "Zoey", "Matthew", "Emma", "Abigail", "Sebastian", "Benjamin"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true, false, true, false], "solution_text": "Luke is a knave, Zoey is a knave, Matthew is a knight, Emma is a knight, Abigail is a knave, Sebastian is a knight, and Benjamin is a knave.", "solution_text_format": "(1) Luke is a knave\n(2) Zoey is a knave\n(3) Matthew is a knight\n(4) Emma is a knight\n(5) Abigail is a knave\n(6) Sebastian is a knight\n(7) Benjamin is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Luke is a knight. No contradiction is found in their claim that Abigail is a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that Benjamin is a knave if and only if Luke is a knight.", "Benjamin cannot be a knight, because this would contradict the claim of Abigail that Benjamin is a knave if and only if Luke is a knight.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Sebastian is a knight if and only if Benjamin is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Zoey is a knave if and only if Abigail is a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that Benjamin is a knight or Emma is a knave.", "Emma cannot be a knight, because this would contradict the claim of Zoey that Benjamin is a knight or Emma is a knave.", "Emma cannot be a knave, because this would contradict the false claim of their own that Zoey is a knave or Luke is a knight.", "We have exhausted all possibilities for Emma, so let us go back and reconsider Zoey.", "Zoey cannot be a knave, because this would contradict the claim of Sebastian that Zoey is a knave if and only if Abigail is a knave.", "We have exhausted all possibilities for Zoey, so let us go back and reconsider Sebastian.", "Sebastian cannot be a knave, because this would contradict the false claim of Benjamin that Sebastian is a knight if and only if Benjamin is a knight.", "We have exhausted all possibilities for Sebastian and Benjamin, so let us go back and reconsider Abigail.", "Abigail cannot be a knave, because this would contradict the claim of Luke that Abigail is a knight.", "We have exhausted all possibilities for Abigail, so let us go back and reconsider Luke.", "Assume Luke is a knave. No contradiction is found in their false claim that Abigail is a knight.", "Abigail cannot be a knight, because this would contradict the false claim of Luke that Abigail is a knight.", "Assume Abigail is a knave. No contradiction is found in their false claim that Benjamin is a knave if and only if Luke is a knight.", "Benjamin cannot be a knight, because this would contradict the false claim of Abigail that Benjamin is a knave if and only if Luke is a knight.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Sebastian is a knight if and only if Benjamin is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Zoey is a knave if and only if Abigail is a knave.", "Zoey cannot be a knight, because this would contradict the claim of Sebastian that Zoey is a knave if and only if Abigail is a knave.", "Assume Zoey is a knave. No contradiction is found in their false claim that Benjamin is a knight or Emma is a knave.", "Assume Emma is a knight. No contradiction is found in their claim that Zoey is a knave or Luke is a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that Abigail is a knave and Benjamin is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 4), ('or', ('telling-truth', 6), ('lying', 3)), ('and', ('lying', 4), ('lying', 6)), ('or', ('lying', 1), ('telling-truth', 0)), ('<=>', ('lying', 6), ('telling-truth', 0)), ('<=>', ('lying', 1), ('lying', 4)), ('<=>', ('telling-truth', 5), ('telling-truth', 6)))", "index": 754}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Matthew, Samuel, Ethan, Ava, Oliver, Jack, and Ella. Matthew noted, \"Ella is a knave\". Samuel remarked, \"If Ella is a knave then Samuel is a knight\". Ethan was heard saying, \"Ella is not a knight\". In a statement by Ava: \"If Samuel is a knave then Ethan is a knave\". \"Ella is not a knight,\" Oliver mentioned. Jack was heard saying, \"Ethan is a knight and Matthew is a knave\". Ella stated, \"Samuel is a knave\". So who is a knight and who is a knave?", "names": ["Matthew", "Samuel", "Ethan", "Ava", "Oliver", "Jack", "Ella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, true, false, false], "solution_text": "Matthew is a knight, Samuel is a knight, Ethan is a knight, Ava is a knight, Oliver is a knight, Jack is a knave, and Ella is a knave.", "solution_text_format": "(1) Matthew is a knight\n(2) Samuel is a knight\n(3) Ethan is a knight\n(4) Ava is a knight\n(5) Oliver is a knight\n(6) Jack is a knave\n(7) Ella is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Matthew is a knight. No contradiction is found in their claim that Ella is a knave.", "Ella cannot be a knight, because this would contradict the claim of Matthew that Ella is a knave.", "Assume Ella is a knave. No contradiction is found in their false claim that Samuel is a knave.", "Assume Samuel is a knight. No contradiction is found in their claim that If Ella is a knave then Samuel is a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that Ella is not a knight.", "Assume Ava is a knight. No contradiction is found in their claim that If Samuel is a knave then Ethan is a knave.", "Assume Oliver is a knight. No contradiction is found in their claim that Ella is not a knight.", "Jack cannot be a knight, because this would contradict the claim of their own that Ethan is a knight and Matthew is a knave.", "Assume Jack is a knave. No contradiction is found in their false claim that Ethan is a knight and Matthew is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 6), ('->', ('lying', 6), ('telling-truth', 1)), ('not', ('telling-truth', 6)), ('->', ('lying', 1), ('lying', 2)), ('not', ('telling-truth', 6)), ('and', ('telling-truth', 2), ('lying', 0)), ('lying', 1))", "index": 755}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Logan, Michael, Emma, Elizabeth, Aiden, Jackson, and Emily. Logan remarked, \"Emily is not a knight\". Michael was heard saying, \"If Michael is a knight then Logan is a knight\". In a statement by Emma: \"Emily is a knight if and only if Aiden is a knight\". Elizabeth noted, \"Emily is a knave or Logan is a knight\". According to Aiden, \"Michael is not a knight\". \"Michael is a knight if and only if Emily is a knight,\" Jackson claimed. Emily was heard saying, \"Michael is a knight if and only if Emma is a knave\". So who is a knight and who is a knave?", "names": ["Logan", "Michael", "Emma", "Elizabeth", "Aiden", "Jackson", "Emily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, false, false, false], "solution_text": "Logan is a knight, Michael is a knight, Emma is a knight, Elizabeth is a knight, Aiden is a knave, Jackson is a knave, and Emily is a knave.", "solution_text_format": "(1) Logan is a knight\n(2) Michael is a knight\n(3) Emma is a knight\n(4) Elizabeth is a knight\n(5) Aiden is a knave\n(6) Jackson is a knave\n(7) Emily is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Logan is a knight. No contradiction is found in their claim that Emily is not a knight.", "Emily cannot be a knight, because this would contradict the claim of Logan that Emily is not a knight.", "Assume Emily is a knave. No contradiction is found in their false claim that Michael is a knight if and only if Emma is a knave.", "Assume Michael is a knight. No contradiction is found in their claim that If Michael is a knight then Logan is a knight.", "Assume Emma is a knight. No contradiction is found in their claim that Emily is a knight if and only if Aiden is a knight.", "Aiden cannot be a knight, because this would contradict the claim of Emma that Emily is a knight if and only if Aiden is a knight.", "Assume Aiden is a knave. No contradiction is found in their false claim that Michael is not a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Emily is a knave or Logan is a knight.", "Jackson cannot be a knight, because this would contradict the claim of their own that Michael is a knight if and only if Emily is a knight.", "Assume Jackson is a knave. No contradiction is found in their false claim that Michael is a knight if and only if Emily is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 6)), ('->', ('telling-truth', 1), ('telling-truth', 0)), ('<=>', ('telling-truth', 6), ('telling-truth', 4)), ('or', ('lying', 6), ('telling-truth', 0)), ('not', ('telling-truth', 1)), ('<=>', ('telling-truth', 1), ('telling-truth', 6)), ('<=>', ('telling-truth', 1), ('lying', 2)))", "index": 756}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Luke, Michael, Owen, Ella, Jackson, Riley, and Mason. \"Owen is a knave and Owen is a knight,\" Luke declared. Michael expressed that Jackson is a knave. \"Jackson is a knight and Michael is a knave,\" Owen declared. Ella said, \"Owen is not a knave.\" Jackson asserted: \"If Jackson is a knight then Ella is a knight\". \"Michael is a knight,\" Riley declared. Mason commented, \"If Ella is a knight then Ella is a knave\". So who is a knight and who is a knave?", "names": ["Luke", "Michael", "Owen", "Ella", "Jackson", "Riley", "Mason"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true, true, false, false], "solution_text": "Luke is a knave, Michael is a knave, Owen is a knight, Ella is a knight, Jackson is a knight, Riley is a knave, and Mason is a knave.", "solution_text_format": "(1) Luke is a knave\n(2) Michael is a knave\n(3) Owen is a knight\n(4) Ella is a knight\n(5) Jackson is a knight\n(6) Riley is a knave\n(7) Mason is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Luke cannot be a knight, because this would contradict the claim of their own that Owen is a knave and Owen is a knight.", "Assume Luke is a knave. No contradiction is found in their false claim that Owen is a knave and Owen is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that Jackson is a knight and Michael is a knave.", "Assume Jackson is a knight. No contradiction is found in their claim that If Jackson is a knight then Ella is a knight.", "Assume Ella is a knight. No contradiction is found in their claim that Owen is not a knave.", "Michael cannot be a knight, because this would contradict the claim of their own that Jackson is a knave.", "Assume Michael is a knave. No contradiction is found in their false claim that Jackson is a knave.", "Riley cannot be a knight, because this would contradict the claim of their own that Michael is a knight.", "Assume Riley is a knave. No contradiction is found in their false claim that Michael is a knight.", "Mason cannot be a knight, because this would contradict the claim of their own that If Ella is a knight then Ella is a knave.", "Assume Mason is a knave. No contradiction is found in their false claim that If Ella is a knight then Ella is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('telling-truth', 2)), ('lying', 4), ('and', ('telling-truth', 4), ('lying', 1)), ('not', ('lying', 2)), ('->', ('telling-truth', 4), ('telling-truth', 3)), ('telling-truth', 1), ('->', ('telling-truth', 3), ('lying', 3)))", "index": 757}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Aurora, William, Noah, Penelope, Oliver, Mason, and Jacob. \"If Penelope is a knave then Oliver is a knave,\" Aurora mentioned. William said that If Oliver is a knight then Mason is a knight. In Noah's words: \"Penelope is not a knight\". Penelope stated, \"Jacob is not a knight\". Oliver remarked, \"William is a knight or Aurora is a knight\". \"Penelope is a knight or Oliver is a knight\" - Mason. Jacob was heard saying, \"Aurora is a knave and William is a knave\". So who is a knight and who is a knave?", "names": ["Aurora", "William", "Noah", "Penelope", "Oliver", "Mason", "Jacob"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true, true, true, false], "solution_text": "Aurora is a knight, William is a knight, Noah is a knave, Penelope is a knight, Oliver is a knight, Mason is a knight, and Jacob is a knave.", "solution_text_format": "(1) Aurora is a knight\n(2) William is a knight\n(3) Noah is a knave\n(4) Penelope is a knight\n(5) Oliver is a knight\n(6) Mason is a knight\n(7) Jacob is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aurora is a knight. No contradiction is found in their claim that If Penelope is a knave then Oliver is a knave.", "Assume Penelope is a knight. No contradiction is found in their claim that Jacob is not a knight.", "Jacob cannot be a knight, because this would contradict the claim of Penelope that Jacob is not a knight.", "Assume Jacob is a knave. No contradiction is found in their false claim that Aurora is a knave and William is a knave.", "Assume William is a knight. No contradiction is found in their claim that If Oliver is a knight then Mason is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that William is a knight or Aurora is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that Penelope is a knight or Oliver is a knight.", "Noah cannot be a knight, because this would contradict the claim of their own that Penelope is not a knight.", "Assume Noah is a knave. No contradiction is found in their false claim that Penelope is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 3), ('lying', 4)), ('->', ('telling-truth', 4), ('telling-truth', 5)), ('not', ('telling-truth', 3)), ('not', ('telling-truth', 6)), ('or', ('telling-truth', 1), ('telling-truth', 0)), ('or', ('telling-truth', 3), ('telling-truth', 4)), ('and', ('lying', 0), ('lying', 1)))", "index": 758}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Amelia, Jackson, Emma, Daniel, Isabella, Benjamin, and Ava. \"Emma is a knave,\" Amelia mentioned. Jackson said that Benjamin is a knight or Daniel is a knight. Emma commented, \"If Ava is a knight then Daniel is a knave\". Daniel was heard saying, \"Emma is a knave and Amelia is a knight\". \"Daniel is a knave,\" Isabella mentioned. Benjamin expressed that Ava is not a knight. Ava said that Isabella is a knight or Daniel is a knave. So who is a knight and who is a knave?", "names": ["Amelia", "Jackson", "Emma", "Daniel", "Isabella", "Benjamin", "Ava"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false, true, false, true], "solution_text": "Amelia is a knave, Jackson is a knave, Emma is a knight, Daniel is a knave, Isabella is a knight, Benjamin is a knave, and Ava is a knight.", "solution_text_format": "(1) Amelia is a knave\n(2) Jackson is a knave\n(3) Emma is a knight\n(4) Daniel is a knave\n(5) Isabella is a knight\n(6) Benjamin is a knave\n(7) Ava is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Amelia is a knight. No contradiction is found in their claim that Emma is a knave.", "Emma cannot be a knight, because this would contradict the claim of Amelia that Emma is a knave.", "Assume Emma is a knave. No contradiction is found in their false claim that If Ava is a knight then Daniel is a knave.", "Assume Ava is a knight. No contradiction is found in their claim that Isabella is a knight or Daniel is a knave.", "Assume Isabella is a knight. No contradiction is found in their claim that Daniel is a knave.", "Daniel cannot be a knight, because this would contradict the claim of Isabella that Daniel is a knave.", "Daniel cannot be a knave, because this would contradict the false claim of Emma that If Ava is a knight then Daniel is a knave.", "We have exhausted all possibilities for Daniel, so let us go back and reconsider Isabella.", "Assume Isabella is a knave. No contradiction is found in their false claim that Daniel is a knave.", "Daniel cannot be a knight, because this would contradict the claim of Ava that Isabella is a knight or Daniel is a knave.", "Daniel cannot be a knave, because this would contradict the false claim of Emma that If Ava is a knight then Daniel is a knave.", "We have exhausted all possibilities for Daniel and Isabella, so let us go back and reconsider Ava.", "Ava cannot be a knave, because this would contradict the false claim of Emma that If Ava is a knight then Daniel is a knave.", "We have exhausted all possibilities for Ava and Emma, so let us go back and reconsider Amelia.", "Assume Amelia is a knave. No contradiction is found in their false claim that Emma is a knave.", "Assume Emma is a knight. No contradiction is found in their claim that If Ava is a knight then Daniel is a knave.", "Assume Ava is a knight. No contradiction is found in their claim that Isabella is a knight or Daniel is a knave.", "Assume Isabella is a knight. No contradiction is found in their claim that Daniel is a knave.", "Daniel cannot be a knight, because this would contradict the claim of Emma that If Ava is a knight then Daniel is a knave.", "Assume Daniel is a knave. No contradiction is found in their false claim that Emma is a knave and Amelia is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that Benjamin is a knight or Daniel is a knight.", "Benjamin cannot be a knight, because this would contradict the claim of their own that Ava is not a knight.", "Benjamin cannot be a knave, because this would contradict the claim of Jackson that Benjamin is a knight or Daniel is a knight.", "We have exhausted all possibilities for Benjamin, so let us go back and reconsider Jackson.", "Assume Jackson is a knave. No contradiction is found in their false claim that Benjamin is a knight or Daniel is a knight.", "Benjamin cannot be a knight, because this would contradict the false claim of Jackson that Benjamin is a knight or Daniel is a knight.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Ava is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 2), ('or', ('telling-truth', 5), ('telling-truth', 3)), ('->', ('telling-truth', 6), ('lying', 3)), ('and', ('lying', 2), ('telling-truth', 0)), ('lying', 3), ('not', ('telling-truth', 6)), ('or', ('telling-truth', 4), ('lying', 3)))", "index": 759}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Avery, Emma, Evelyn, Samuel, Ella, Jackson, and Owen. In Avery's words: \"If Emma is a knave then Ella is a knight\". Emma was heard saying, \"Evelyn is a knave\". Evelyn expressed that Ella is not a knight. In a statement by Samuel: \"Avery is a knight if and only if Emma is a knight\". Ella expressed that If Emma is a knight then Jackson is a knight. In Jackson's words: \"Evelyn is a knave and Ella is a knight\". \"If Ella is a knight then Jackson is a knight,\" Owen mentioned. So who is a knight and who is a knave?", "names": ["Avery", "Emma", "Evelyn", "Samuel", "Ella", "Jackson", "Owen"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true, true, true, true], "solution_text": "Avery is a knight, Emma is a knight, Evelyn is a knave, Samuel is a knight, Ella is a knight, Jackson is a knight, and Owen is a knight.", "solution_text_format": "(1) Avery is a knight\n(2) Emma is a knight\n(3) Evelyn is a knave\n(4) Samuel is a knight\n(5) Ella is a knight\n(6) Jackson is a knight\n(7) Owen is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Avery is a knight. No contradiction is found in their claim that If Emma is a knave then Ella is a knight.", "Assume Emma is a knight. No contradiction is found in their claim that Evelyn is a knave.", "Evelyn cannot be a knight, because this would contradict the claim of Emma that Evelyn is a knave.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Ella is not a knight.", "Assume Ella is a knight. No contradiction is found in their claim that If Emma is a knight then Jackson is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that Evelyn is a knave and Ella is a knight.", "Assume Samuel is a knight. No contradiction is found in their claim that Avery is a knight if and only if Emma is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that If Ella is a knight then Jackson is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 1), ('telling-truth', 4)), ('lying', 2), ('not', ('telling-truth', 4)), ('<=>', ('telling-truth', 0), ('telling-truth', 1)), ('->', ('telling-truth', 1), ('telling-truth', 5)), ('and', ('lying', 2), ('telling-truth', 4)), ('->', ('telling-truth', 4), ('telling-truth', 5)))", "index": 760}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Grace, Elizabeth, Mason, Ethan, William, Jacob, and Daniel. Grace expressed that Daniel is a knight or Ethan is a knave. \"William is a knave and Grace is a knave\" - Elizabeth. Mason noted, \"Jacob is a knight\". Ethan told you that Mason is a knight if and only if Jacob is a knight. \"If Mason is a knight then Jacob is a knight,\" William claimed. Jacob expressed that William is a knave. Daniel commented, \"William is a knave and Elizabeth is a knave\". So who is a knight and who is a knave?", "names": ["Grace", "Elizabeth", "Mason", "Ethan", "William", "Jacob", "Daniel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true, true, false, false], "solution_text": "Grace is a knave, Elizabeth is a knave, Mason is a knave, Ethan is a knight, William is a knight, Jacob is a knave, and Daniel is a knave.", "solution_text_format": "(1) Grace is a knave\n(2) Elizabeth is a knave\n(3) Mason is a knave\n(4) Ethan is a knight\n(5) William is a knight\n(6) Jacob is a knave\n(7) Daniel is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Grace is a knight. No contradiction is found in their claim that Daniel is a knight or Ethan is a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that William is a knave and Elizabeth is a knave.", "William cannot be a knight, because this would contradict the claim of Daniel that William is a knave and Elizabeth is a knave.", "Assume William is a knave. No contradiction is found in their false claim that If Mason is a knight then Jacob is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that Jacob is a knight.", "Jacob cannot be a knight, because this would contradict the false claim of William that If Mason is a knight then Jacob is a knight.", "Jacob cannot be a knave, because this would contradict the claim of Mason that Jacob is a knight.", "We have exhausted all possibilities for Jacob, so let us go back and reconsider Mason.", "Mason cannot be a knave, because this would contradict the false claim of William that If Mason is a knight then Jacob is a knight.", "We have exhausted all possibilities for Mason and William, so let us go back and reconsider Daniel.", "Assume Daniel is a knave. No contradiction is found in their false claim that William is a knave and Elizabeth is a knave.", "Assume William is a knight. No contradiction is found in their claim that If Mason is a knight then Jacob is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that Jacob is a knight.", "Jacob cannot be a knight, because this would contradict the claim of their own that William is a knave.", "Jacob cannot be a knave, because this would contradict the claim of Mason that Jacob is a knight.", "We have exhausted all possibilities for Jacob, so let us go back and reconsider Mason.", "Assume Mason is a knave. No contradiction is found in their false claim that Jacob is a knight.", "Jacob cannot be a knight, because this would contradict the false claim of Mason that Jacob is a knight.", "Assume Jacob is a knave. No contradiction is found in their false claim that William is a knave.", "Elizabeth cannot be a knight, because this would contradict the claim of their own that William is a knave and Grace is a knave.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that William is a knave and Grace is a knave.", "Ethan cannot be a knight, because this would contradict the claim of Grace that Daniel is a knight or Ethan is a knave.", "Ethan cannot be a knave, because this would contradict the false claim of their own that Mason is a knight if and only if Jacob is a knight.", "We have exhausted all possibilities for Ethan, Elizabeth, Jacob, and Mason, so let us go back and reconsider William.", "Assume William is a knave. No contradiction is found in their false claim that If Mason is a knight then Jacob is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that Jacob is a knight.", "Jacob cannot be a knight, because this would contradict the false claim of William that If Mason is a knight then Jacob is a knight.", "Jacob cannot be a knave, because this would contradict the claim of Mason that Jacob is a knight.", "We have exhausted all possibilities for Jacob, so let us go back and reconsider Mason.", "Mason cannot be a knave, because this would contradict the false claim of William that If Mason is a knight then Jacob is a knight.", "We have exhausted all possibilities for Mason, William, and Daniel, so let us go back and reconsider Grace.", "Assume Grace is a knave. No contradiction is found in their false claim that Daniel is a knight or Ethan is a knave.", "Daniel cannot be a knight, because this would contradict the false claim of Grace that Daniel is a knight or Ethan is a knave.", "Assume Daniel is a knave. No contradiction is found in their false claim that William is a knave and Elizabeth is a knave.", "Assume William is a knight. No contradiction is found in their claim that If Mason is a knight then Jacob is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that Jacob is a knight.", "Jacob cannot be a knight, because this would contradict the claim of their own that William is a knave.", "Jacob cannot be a knave, because this would contradict the claim of Mason that Jacob is a knight.", "We have exhausted all possibilities for Jacob, so let us go back and reconsider Mason.", "Assume Mason is a knave. No contradiction is found in their false claim that Jacob is a knight.", "Jacob cannot be a knight, because this would contradict the false claim of Mason that Jacob is a knight.", "Assume Jacob is a knave. No contradiction is found in their false claim that William is a knave.", "Elizabeth cannot be a knight, because this would contradict the claim of their own that William is a knave and Grace is a knave.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that William is a knave and Grace is a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that Mason is a knight if and only if Jacob is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 6), ('lying', 3)), ('and', ('lying', 4), ('lying', 0)), ('telling-truth', 5), ('<=>', ('telling-truth', 2), ('telling-truth', 5)), ('->', ('telling-truth', 2), ('telling-truth', 5)), ('lying', 4), ('and', ('lying', 4), ('lying', 1)))", "index": 761}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Aurora, Emily, Grace, Mia, Victoria, Jack, and Lily. Aurora said that Emily is a knight or Jack is a knave. Emily asserted: \"If Lily is a knave then Jack is a knight\". Grace stated, \"Lily is a knight\". Mia said that Jack is a knight if and only if Emily is a knight. \"Mia is a knave or Emily is a knave,\" Victoria claimed. Jack asserted: \"Aurora is a knight and Aurora is a knave\". Lily remarked, \"Jack is a knight and Jack is a knave\". So who is a knight and who is a knave?", "names": ["Aurora", "Emily", "Grace", "Mia", "Victoria", "Jack", "Lily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, true, false, false], "solution_text": "Aurora is a knight, Emily is a knave, Grace is a knave, Mia is a knight, Victoria is a knight, Jack is a knave, and Lily is a knave.", "solution_text_format": "(1) Aurora is a knight\n(2) Emily is a knave\n(3) Grace is a knave\n(4) Mia is a knight\n(5) Victoria is a knight\n(6) Jack is a knave\n(7) Lily is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aurora is a knight. No contradiction is found in their claim that Emily is a knight or Jack is a knave.", "Assume Emily is a knight. No contradiction is found in their claim that If Lily is a knave then Jack is a knight.", "Lily cannot be a knight, because this would contradict the claim of their own that Jack is a knight and Jack is a knave.", "Assume Lily is a knave. No contradiction is found in their false claim that Jack is a knight and Jack is a knave.", "Jack cannot be a knight, because this would contradict the claim of their own that Aurora is a knight and Aurora is a knave.", "Jack cannot be a knave, because this would contradict the claim of Emily that If Lily is a knave then Jack is a knight.", "We have exhausted all possibilities for Jack and Lily, so let us go back and reconsider Emily.", "Assume Emily is a knave. No contradiction is found in their false claim that If Lily is a knave then Jack is a knight.", "Lily cannot be a knight, because this would contradict the false claim of Emily that If Lily is a knave then Jack is a knight.", "Assume Lily is a knave. No contradiction is found in their false claim that Jack is a knight and Jack is a knave.", "Jack cannot be a knight, because this would contradict the claim of Aurora that Emily is a knight or Jack is a knave.", "Assume Jack is a knave. No contradiction is found in their false claim that Aurora is a knight and Aurora is a knave.", "Grace cannot be a knight, because this would contradict the claim of their own that Lily is a knight.", "Assume Grace is a knave. No contradiction is found in their false claim that Lily is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that Jack is a knight if and only if Emily is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that Mia is a knave or Emily is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 1), ('lying', 5)), ('->', ('lying', 6), ('telling-truth', 5)), ('telling-truth', 6), ('<=>', ('telling-truth', 5), ('telling-truth', 1)), ('or', ('lying', 3), ('lying', 1)), ('and', ('telling-truth', 0), ('lying', 0)), ('and', ('telling-truth', 5), ('lying', 5)))", "index": 762}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Lucas, Evelyn, Alexander, Charlotte, Oliver, Sebastian, and Aiden. Lucas expressed that Alexander is a knave and Aiden is a knave. In Evelyn's words: \"Sebastian is a knave\". \"Charlotte is a knight and Lucas is a knave,\" Alexander declared. According to Charlotte, \"Evelyn is a knave if and only if Evelyn is a knight\". In Oliver's words: \"Aiden is a knight and Charlotte is a knight\". Sebastian stated, \"Evelyn is a knave and Evelyn is a knight\". \"Oliver is not a knave,\" Aiden declared. So who is a knight and who is a knave?", "names": ["Lucas", "Evelyn", "Alexander", "Charlotte", "Oliver", "Sebastian", "Aiden"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false, false, false, false], "solution_text": "Lucas is a knight, Evelyn is a knight, Alexander is a knave, Charlotte is a knave, Oliver is a knave, Sebastian is a knave, and Aiden is a knave.", "solution_text_format": "(1) Lucas is a knight\n(2) Evelyn is a knight\n(3) Alexander is a knave\n(4) Charlotte is a knave\n(5) Oliver is a knave\n(6) Sebastian is a knave\n(7) Aiden is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Lucas is a knight. No contradiction is found in their claim that Alexander is a knave and Aiden is a knave.", "Alexander cannot be a knight, because this would contradict the claim of Lucas that Alexander is a knave and Aiden is a knave.", "Assume Alexander is a knave. No contradiction is found in their false claim that Charlotte is a knight and Lucas is a knave.", "Charlotte cannot be a knight, because this would contradict the claim of their own that Evelyn is a knave if and only if Evelyn is a knight.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Evelyn is a knave if and only if Evelyn is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that Sebastian is a knave.", "Sebastian cannot be a knight, because this would contradict the claim of Evelyn that Sebastian is a knave.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Evelyn is a knave and Evelyn is a knight.", "Aiden cannot be a knight, because this would contradict the claim of Lucas that Alexander is a knave and Aiden is a knave.", "Assume Aiden is a knave. No contradiction is found in their false claim that Oliver is not a knave.", "Oliver cannot be a knight, because this would contradict the claim of their own that Aiden is a knight and Charlotte is a knight.", "Assume Oliver is a knave. No contradiction is found in their false claim that Aiden is a knight and Charlotte is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('lying', 6)), ('lying', 5), ('and', ('telling-truth', 3), ('lying', 0)), ('<=>', ('lying', 1), ('telling-truth', 1)), ('and', ('telling-truth', 6), ('telling-truth', 3)), ('and', ('lying', 1), ('telling-truth', 1)), ('not', ('lying', 4)))", "index": 763}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Benjamin, Mason, Matthew, Charlotte, Elizabeth, Luke, and Emily. Benjamin expressed that Mason is a knave. Mason expressed that Benjamin is a knight and Luke is a knave. Matthew stated, \"Luke is not a knave\". \"Elizabeth is a knight,\" Charlotte declared. Elizabeth expressed that Luke is a knave. Luke said, \"Emily is a knight.\" Emily commented, \"If Matthew is a knave then Matthew is a knight\". So who is a knight and who is a knave?", "names": ["Benjamin", "Mason", "Matthew", "Charlotte", "Elizabeth", "Luke", "Emily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false, false, true, true], "solution_text": "Benjamin is a knight, Mason is a knave, Matthew is a knight, Charlotte is a knave, Elizabeth is a knave, Luke is a knight, and Emily is a knight.", "solution_text_format": "(1) Benjamin is a knight\n(2) Mason is a knave\n(3) Matthew is a knight\n(4) Charlotte is a knave\n(5) Elizabeth is a knave\n(6) Luke is a knight\n(7) Emily is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Benjamin is a knight. No contradiction is found in their claim that Mason is a knave.", "Mason cannot be a knight, because this would contradict the claim of Benjamin that Mason is a knave.", "Assume Mason is a knave. No contradiction is found in their false claim that Benjamin is a knight and Luke is a knave.", "Assume Luke is a knight. No contradiction is found in their claim that Emily is a knight.", "Assume Emily is a knight. No contradiction is found in their claim that If Matthew is a knave then Matthew is a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that Luke is not a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that Elizabeth is a knight.", "Elizabeth cannot be a knight, because this would contradict the claim of their own that Luke is a knave.", "Elizabeth cannot be a knave, because this would contradict the claim of Charlotte that Elizabeth is a knight.", "We have exhausted all possibilities for Elizabeth, so let us go back and reconsider Charlotte.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Elizabeth is a knight.", "Elizabeth cannot be a knight, because this would contradict the false claim of Charlotte that Elizabeth is a knight.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Luke is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('and', ('telling-truth', 0), ('lying', 5)), ('not', ('lying', 5)), ('telling-truth', 4), ('lying', 5), ('telling-truth', 6), ('->', ('lying', 2), ('telling-truth', 2)))", "index": 764}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Michael, Luke, Sofia, Emily, Avery, Alexander, and Jack. As Michael put it, \"Michael is a knight and Sofia is a knight\". Luke remarked, \"Luke is a knight if and only if Michael is a knave\". Sofia commented, \"Alexander is a knight and Emily is a knave\". In Emily's words: \"Luke is a knave or Sofia is a knight\". Avery commented, \"Michael is a knave if and only if Sofia is a knave\". \"If Alexander is a knight then Sofia is a knave,\" Alexander claimed. Jack asserted: \"Alexander is a knave if and only if Luke is a knave\". So who is a knight and who is a knave?", "names": ["Michael", "Luke", "Sofia", "Emily", "Avery", "Alexander", "Jack"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true, true, true, false], "solution_text": "Michael is a knave, Luke is a knave, Sofia is a knave, Emily is a knight, Avery is a knight, Alexander is a knight, and Jack is a knave.", "solution_text_format": "(1) Michael is a knave\n(2) Luke is a knave\n(3) Sofia is a knave\n(4) Emily is a knight\n(5) Avery is a knight\n(6) Alexander is a knight\n(7) Jack is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Michael is a knight. No contradiction is found in their claim that Michael is a knight and Sofia is a knight.", "Assume Sofia is a knight. No contradiction is found in their claim that Alexander is a knight and Emily is a knave.", "Alexander cannot be a knight, because this would contradict the claim of their own that If Alexander is a knight then Sofia is a knave.", "Alexander cannot be a knave, because this would contradict the claim of Sofia that Alexander is a knight and Emily is a knave.", "We have exhausted all possibilities for Alexander, so let us go back and reconsider Sofia.", "Sofia cannot be a knave, because this would contradict the claim of Michael that Michael is a knight and Sofia is a knight.", "We have exhausted all possibilities for Sofia, so let us go back and reconsider Michael.", "Assume Michael is a knave. No contradiction is found in their false claim that Michael is a knight and Sofia is a knight.", "Assume Sofia is a knight. No contradiction is found in their claim that Alexander is a knight and Emily is a knave.", "Alexander cannot be a knight, because this would contradict the claim of their own that If Alexander is a knight then Sofia is a knave.", "Alexander cannot be a knave, because this would contradict the claim of Sofia that Alexander is a knight and Emily is a knave.", "We have exhausted all possibilities for Alexander, so let us go back and reconsider Sofia.", "Assume Sofia is a knave. No contradiction is found in their false claim that Alexander is a knight and Emily is a knave.", "Assume Alexander is a knight. No contradiction is found in their claim that If Alexander is a knight then Sofia is a knave.", "Assume Emily is a knight. No contradiction is found in their claim that Luke is a knave or Sofia is a knight.", "Luke cannot be a knight, because this would contradict the claim of Emily that Luke is a knave or Sofia is a knight.", "Assume Luke is a knave. No contradiction is found in their false claim that Luke is a knight if and only if Michael is a knave.", "Assume Avery is a knight. No contradiction is found in their claim that Michael is a knave if and only if Sofia is a knave.", "Jack cannot be a knight, because this would contradict the claim of their own that Alexander is a knave if and only if Luke is a knave.", "Assume Jack is a knave. No contradiction is found in their false claim that Alexander is a knave if and only if Luke is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 0), ('telling-truth', 2)), ('<=>', ('telling-truth', 1), ('lying', 0)), ('and', ('telling-truth', 5), ('lying', 3)), ('or', ('lying', 1), ('telling-truth', 2)), ('<=>', ('lying', 0), ('lying', 2)), ('->', ('telling-truth', 5), ('lying', 2)), ('<=>', ('lying', 5), ('lying', 1)))", "index": 765}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Sofia, Isabella, Mia, Liam, Daniel, William, and Sebastian. \"Mia is a knight,\" Sofia claimed. Isabella noted, \"If Sebastian is a knave then William is a knave\". \"If William is a knight then Daniel is a knight,\" Mia declared. Liam stated, \"Isabella is not a knave\". Daniel expressed that If Mia is a knight then Liam is a knight. \"Liam is a knave or Sebastian is a knight,\" William claimed. Sebastian told you that Sofia is a knave if and only if Isabella is a knight. So who is a knight and who is a knave?", "names": ["Sofia", "Isabella", "Mia", "Liam", "Daniel", "William", "Sebastian"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, true, false, false], "solution_text": "Sofia is a knight, Isabella is a knight, Mia is a knight, Liam is a knight, Daniel is a knight, William is a knave, and Sebastian is a knave.", "solution_text_format": "(1) Sofia is a knight\n(2) Isabella is a knight\n(3) Mia is a knight\n(4) Liam is a knight\n(5) Daniel is a knight\n(6) William is a knave\n(7) Sebastian is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sofia is a knight. No contradiction is found in their claim that Mia is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that If William is a knight then Daniel is a knight.", "Assume William is a knight. No contradiction is found in their claim that Liam is a knave or Sebastian is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that Isabella is not a knave.", "Assume Isabella is a knight. No contradiction is found in their claim that If Sebastian is a knave then William is a knave.", "Sebastian cannot be a knight, because this would contradict the claim of their own that Sofia is a knave if and only if Isabella is a knight.", "Sebastian cannot be a knave, because this would contradict the claim of Isabella that If Sebastian is a knave then William is a knave.", "We have exhausted all possibilities for Sebastian, so let us go back and reconsider Isabella.", "Isabella cannot be a knave, because this would contradict the claim of Liam that Isabella is not a knave.", "We have exhausted all possibilities for Isabella, so let us go back and reconsider Liam.", "Assume Liam is a knave. No contradiction is found in their false claim that Isabella is not a knave.", "Isabella cannot be a knight, because this would contradict the false claim of Liam that Isabella is not a knave.", "Assume Isabella is a knave. No contradiction is found in their false claim that If Sebastian is a knave then William is a knave.", "Sebastian cannot be a knight, because this would contradict the false claim of Isabella that If Sebastian is a knave then William is a knave.", "Sebastian cannot be a knave, because this would contradict the false claim of their own that Sofia is a knave if and only if Isabella is a knight.", "We have exhausted all possibilities for Sebastian, Isabella, and Liam, so let us go back and reconsider William.", "Assume William is a knave. No contradiction is found in their false claim that Liam is a knave or Sebastian is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that Isabella is not a knave.", "Assume Isabella is a knight. No contradiction is found in their claim that If Sebastian is a knave then William is a knave.", "Sebastian cannot be a knight, because this would contradict the false claim of William that Liam is a knave or Sebastian is a knight.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Sofia is a knave if and only if Isabella is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that If Mia is a knight then Liam is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 2), ('->', ('lying', 6), ('lying', 5)), ('->', ('telling-truth', 5), ('telling-truth', 4)), ('not', ('lying', 1)), ('->', ('telling-truth', 2), ('telling-truth', 3)), ('or', ('lying', 3), ('telling-truth', 6)), ('<=>', ('lying', 0), ('telling-truth', 1)))", "index": 766}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: William, Daniel, Oliver, Emma, Mia, Alexander, and Liam. \"Oliver is not a knave,\" William claimed. Daniel said, \"Oliver is a knight if and only if Liam is a knave.\" Oliver commented, \"If Alexander is a knave then Liam is a knight\". \"Liam is not a knight,\" Emma declared. Mia stated, \"Daniel is a knave if and only if Liam is a knave\". \"Daniel is a knight or Emma is a knight,\" Alexander mentioned. \"Emma is a knight or Emma is a knave\" - Liam. So who is a knight and who is a knave?", "names": ["William", "Daniel", "Oliver", "Emma", "Mia", "Alexander", "Liam"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false, false, false, true], "solution_text": "William is a knight, Daniel is a knave, Oliver is a knight, Emma is a knave, Mia is a knave, Alexander is a knave, and Liam is a knight.", "solution_text_format": "(1) William is a knight\n(2) Daniel is a knave\n(3) Oliver is a knight\n(4) Emma is a knave\n(5) Mia is a knave\n(6) Alexander is a knave\n(7) Liam is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume William is a knight. No contradiction is found in their claim that Oliver is not a knave.", "Assume Oliver is a knight. No contradiction is found in their claim that If Alexander is a knave then Liam is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that Daniel is a knight or Emma is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that Oliver is a knight if and only if Liam is a knave.", "Liam cannot be a knight, because this would contradict the claim of Daniel that Oliver is a knight if and only if Liam is a knave.", "Liam cannot be a knave, because this would contradict the false claim of their own that Emma is a knight or Emma is a knave.", "We have exhausted all possibilities for Liam, so let us go back and reconsider Daniel.", "Assume Daniel is a knave. No contradiction is found in their false claim that Oliver is a knight if and only if Liam is a knave.", "Assume Liam is a knight. No contradiction is found in their claim that Emma is a knight or Emma is a knave.", "Emma cannot be a knight, because this would contradict the claim of their own that Liam is not a knight.", "Emma cannot be a knave, because this would contradict the claim of Alexander that Daniel is a knight or Emma is a knight.", "We have exhausted all possibilities for Emma, so let us go back and reconsider Liam.", "Liam cannot be a knave, because this would contradict the false claim of Daniel that Oliver is a knight if and only if Liam is a knave.", "We have exhausted all possibilities for Liam and Daniel, so let us go back and reconsider Alexander.", "Assume Alexander is a knave. No contradiction is found in their false claim that Daniel is a knight or Emma is a knight.", "Daniel cannot be a knight, because this would contradict the false claim of Alexander that Daniel is a knight or Emma is a knight.", "Assume Daniel is a knave. No contradiction is found in their false claim that Oliver is a knight if and only if Liam is a knave.", "Assume Liam is a knight. No contradiction is found in their claim that Emma is a knight or Emma is a knave.", "Emma cannot be a knight, because this would contradict the claim of their own that Liam is not a knight.", "Assume Emma is a knave. No contradiction is found in their false claim that Liam is not a knight.", "Mia cannot be a knight, because this would contradict the claim of their own that Daniel is a knave if and only if Liam is a knave.", "Assume Mia is a knave. No contradiction is found in their false claim that Daniel is a knave if and only if Liam is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 2)), ('<=>', ('telling-truth', 2), ('lying', 6)), ('->', ('lying', 5), ('telling-truth', 6)), ('not', ('telling-truth', 6)), ('<=>', ('lying', 1), ('lying', 6)), ('or', ('telling-truth', 1), ('telling-truth', 3)), ('or', ('telling-truth', 3), ('lying', 3)))", "index": 767}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Harper, Sophia, Luke, Victoria, Scarlett, Aurora, and Riley. In Harper's words: \"Riley is not a knight\". Sophia expressed that Riley is a knave if and only if Sophia is a knight. Luke stated, \"Scarlett is a knight and Victoria is a knave\". Victoria noted, \"Sophia is a knave\". Scarlett noted, \"Sophia is not a knight\". \"Luke is a knave\" - Aurora. Riley remarked, \"Harper is a knight and Victoria is a knave\". So who is a knight and who is a knave?", "names": ["Harper", "Sophia", "Luke", "Victoria", "Scarlett", "Aurora", "Riley"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, true, true, false], "solution_text": "Harper is a knight, Sophia is a knave, Luke is a knave, Victoria is a knight, Scarlett is a knight, Aurora is a knight, and Riley is a knave.", "solution_text_format": "(1) Harper is a knight\n(2) Sophia is a knave\n(3) Luke is a knave\n(4) Victoria is a knight\n(5) Scarlett is a knight\n(6) Aurora is a knight\n(7) Riley is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Harper is a knight. No contradiction is found in their claim that Riley is not a knight.", "Riley cannot be a knight, because this would contradict the claim of Harper that Riley is not a knight.", "Assume Riley is a knave. No contradiction is found in their false claim that Harper is a knight and Victoria is a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that Sophia is a knave.", "Sophia cannot be a knight, because this would contradict the claim of Victoria that Sophia is a knave.", "Assume Sophia is a knave. No contradiction is found in their false claim that Riley is a knave if and only if Sophia is a knight.", "Luke cannot be a knight, because this would contradict the claim of their own that Scarlett is a knight and Victoria is a knave.", "Assume Luke is a knave. No contradiction is found in their false claim that Scarlett is a knight and Victoria is a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that Sophia is not a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that Luke is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 6)), ('<=>', ('lying', 6), ('telling-truth', 1)), ('and', ('telling-truth', 4), ('lying', 3)), ('lying', 1), ('not', ('telling-truth', 1)), ('lying', 2), ('and', ('telling-truth', 0), ('lying', 3)))", "index": 768}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Scarlett, Lily, Aiden, Aria, Logan, Benjamin, and Avery. Scarlett stated, \"Lily is not a knight\". In a statement by Lily: \"Aria is a knight or Avery is a knave\". According to Aiden, \"If Benjamin is a knave then Logan is a knave\". \"Aiden is not a knave\" - Aria. According to Logan, \"Avery is a knave\". According to Benjamin, \"Lily is not a knight\". Avery asserted: \"Scarlett is a knight if and only if Scarlett is a knave\". So who is a knight and who is a knave?", "names": ["Scarlett", "Lily", "Aiden", "Aria", "Logan", "Benjamin", "Avery"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false, true, false, false], "solution_text": "Scarlett is a knave, Lily is a knight, Aiden is a knave, Aria is a knave, Logan is a knight, Benjamin is a knave, and Avery is a knave.", "solution_text_format": "(1) Scarlett is a knave\n(2) Lily is a knight\n(3) Aiden is a knave\n(4) Aria is a knave\n(5) Logan is a knight\n(6) Benjamin is a knave\n(7) Avery is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Scarlett is a knight. No contradiction is found in their claim that Lily is not a knight.", "Lily cannot be a knight, because this would contradict the claim of Scarlett that Lily is not a knight.", "Assume Lily is a knave. No contradiction is found in their false claim that Aria is a knight or Avery is a knave.", "Aria cannot be a knight, because this would contradict the false claim of Lily that Aria is a knight or Avery is a knave.", "Assume Aria is a knave. No contradiction is found in their false claim that Aiden is not a knave.", "Aiden cannot be a knight, because this would contradict the false claim of Aria that Aiden is not a knave.", "Assume Aiden is a knave. No contradiction is found in their false claim that If Benjamin is a knave then Logan is a knave.", "Benjamin cannot be a knight, because this would contradict the false claim of Aiden that If Benjamin is a knave then Logan is a knave.", "Benjamin cannot be a knave, because this would contradict the false claim of their own that Lily is not a knight.", "We have exhausted all possibilities for Benjamin, Aiden, Aria, and Lily, so let us go back and reconsider Scarlett.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Lily is not a knight.", "Assume Lily is a knight. No contradiction is found in their claim that Aria is a knight or Avery is a knave.", "Assume Aria is a knight. No contradiction is found in their claim that Aiden is not a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that If Benjamin is a knave then Logan is a knave.", "Benjamin cannot be a knight, because this would contradict the claim of their own that Lily is not a knight.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Lily is not a knight.", "Logan cannot be a knight, because this would contradict the claim of Aiden that If Benjamin is a knave then Logan is a knave.", "Assume Logan is a knave. No contradiction is found in their false claim that Avery is a knave.", "Avery cannot be a knight, because this would contradict the claim of their own that Scarlett is a knight if and only if Scarlett is a knave.", "Avery cannot be a knave, because this would contradict the false claim of Logan that Avery is a knave.", "We have exhausted all possibilities for Avery, Logan, and Benjamin, so let us go back and reconsider Aiden.", "Aiden cannot be a knave, because this would contradict the claim of Aria that Aiden is not a knave.", "We have exhausted all possibilities for Aiden, so let us go back and reconsider Aria.", "Assume Aria is a knave. No contradiction is found in their false claim that Aiden is not a knave.", "Aiden cannot be a knight, because this would contradict the false claim of Aria that Aiden is not a knave.", "Assume Aiden is a knave. No contradiction is found in their false claim that If Benjamin is a knave then Logan is a knave.", "Benjamin cannot be a knight, because this would contradict the false claim of Aiden that If Benjamin is a knave then Logan is a knave.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Lily is not a knight.", "Assume Logan is a knight. No contradiction is found in their claim that Avery is a knave.", "Avery cannot be a knight, because this would contradict the claim of Lily that Aria is a knight or Avery is a knave.", "Assume Avery is a knave. No contradiction is found in their false claim that Scarlett is a knight if and only if Scarlett is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('or', ('telling-truth', 3), ('lying', 6)), ('->', ('lying', 5), ('lying', 4)), ('not', ('lying', 2)), ('lying', 6), ('not', ('telling-truth', 1)), ('<=>', ('telling-truth', 0), ('lying', 0)))", "index": 769}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Jackson, Luke, Benjamin, Sebastian, Daniel, Oliver, and Owen. \"Luke is a knave if and only if Daniel is a knight\" - Jackson. Luke commented, \"Sebastian is not a knight\". Benjamin expressed that Sebastian is a knave or Luke is a knave. Sebastian told you that Luke is a knave or Oliver is a knight. Daniel stated, \"Sebastian is a knave\". Oliver said that Owen is a knight. Owen was heard saying, \"Jackson is a knight or Benjamin is a knight\". So who is a knight and who is a knave?", "names": ["Jackson", "Luke", "Benjamin", "Sebastian", "Daniel", "Oliver", "Owen"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true, false, true, true], "solution_text": "Jackson is a knave, Luke is a knave, Benjamin is a knight, Sebastian is a knight, Daniel is a knave, Oliver is a knight, and Owen is a knight.", "solution_text_format": "(1) Jackson is a knave\n(2) Luke is a knave\n(3) Benjamin is a knight\n(4) Sebastian is a knight\n(5) Daniel is a knave\n(6) Oliver is a knight\n(7) Owen is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jackson is a knight. No contradiction is found in their claim that Luke is a knave if and only if Daniel is a knight.", "Assume Luke is a knight. No contradiction is found in their claim that Sebastian is not a knight.", "Sebastian cannot be a knight, because this would contradict the claim of Luke that Sebastian is not a knight.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Luke is a knave or Oliver is a knight.", "Oliver cannot be a knight, because this would contradict the false claim of Sebastian that Luke is a knave or Oliver is a knight.", "Assume Oliver is a knave. No contradiction is found in their false claim that Owen is a knight.", "Owen cannot be a knight, because this would contradict the false claim of Oliver that Owen is a knight.", "Owen cannot be a knave, because this would contradict the false claim of their own that Jackson is a knight or Benjamin is a knight.", "We have exhausted all possibilities for Owen, Oliver, and Sebastian, so let us go back and reconsider Luke.", "Assume Luke is a knave. No contradiction is found in their false claim that Sebastian is not a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Luke is a knave or Oliver is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that Owen is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that Jackson is a knight or Benjamin is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that Sebastian is a knave or Luke is a knave.", "Daniel cannot be a knight, because this would contradict the claim of their own that Sebastian is a knave.", "Daniel cannot be a knave, because this would contradict the claim of Jackson that Luke is a knave if and only if Daniel is a knight.", "We have exhausted all possibilities for Daniel, so let us go back and reconsider Benjamin.", "Benjamin cannot be a knave, because this would contradict the false claim of their own that Sebastian is a knave or Luke is a knave.", "We have exhausted all possibilities for Benjamin, so let us go back and reconsider Owen.", "Owen cannot be a knave, because this would contradict the claim of Oliver that Owen is a knight.", "We have exhausted all possibilities for Owen, so let us go back and reconsider Oliver.", "Assume Oliver is a knave. No contradiction is found in their false claim that Owen is a knight.", "Owen cannot be a knight, because this would contradict the false claim of Oliver that Owen is a knight.", "Owen cannot be a knave, because this would contradict the false claim of their own that Jackson is a knight or Benjamin is a knight.", "We have exhausted all possibilities for Owen and Oliver, so let us go back and reconsider Sebastian.", "Sebastian cannot be a knave, because this would contradict the false claim of Luke that Sebastian is not a knight.", "We have exhausted all possibilities for Sebastian and Luke, so let us go back and reconsider Jackson.", "Assume Jackson is a knave. No contradiction is found in their false claim that Luke is a knave if and only if Daniel is a knight.", "Assume Luke is a knight. No contradiction is found in their claim that Sebastian is not a knight.", "Sebastian cannot be a knight, because this would contradict the claim of Luke that Sebastian is not a knight.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Luke is a knave or Oliver is a knight.", "Oliver cannot be a knight, because this would contradict the false claim of Sebastian that Luke is a knave or Oliver is a knight.", "Assume Oliver is a knave. No contradiction is found in their false claim that Owen is a knight.", "Owen cannot be a knight, because this would contradict the false claim of Oliver that Owen is a knight.", "Assume Owen is a knave. No contradiction is found in their false claim that Jackson is a knight or Benjamin is a knight.", "Benjamin cannot be a knight, because this would contradict the false claim of Owen that Jackson is a knight or Benjamin is a knight.", "Benjamin cannot be a knave, because this would contradict the false claim of their own that Sebastian is a knave or Luke is a knave.", "We have exhausted all possibilities for Benjamin, Owen, Oliver, and Sebastian, so let us go back and reconsider Luke.", "Assume Luke is a knave. No contradiction is found in their false claim that Sebastian is not a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Luke is a knave or Oliver is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that Owen is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that Jackson is a knight or Benjamin is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that Sebastian is a knave or Luke is a knave.", "Daniel cannot be a knight, because this would contradict the false claim of Jackson that Luke is a knave if and only if Daniel is a knight.", "Assume Daniel is a knave. No contradiction is found in their false claim that Sebastian is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('telling-truth', 4)), ('not', ('telling-truth', 3)), ('or', ('lying', 3), ('lying', 1)), ('or', ('lying', 1), ('telling-truth', 5)), ('lying', 3), ('telling-truth', 6), ('or', ('telling-truth', 0), ('telling-truth', 2)))", "index": 770}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Sofia, Daniel, Riley, David, Benjamin, Jack, and Jacob. Sofia expressed that Jack is a knight and Benjamin is a knight. According to Daniel, \"Benjamin is not a knave\". Riley asserted: \"Jacob is a knave or Benjamin is a knight\". David stated, \"Jacob is a knave\". Benjamin said that Jack is not a knight. Jack noted, \"David is a knave\". Jacob remarked, \"Sofia is a knave or David is a knight\". So who is a knight and who is a knave?", "names": ["Sofia", "Daniel", "Riley", "David", "Benjamin", "Jack", "Jacob"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, false, false, true, true], "solution_text": "Sofia is a knave, Daniel is a knave, Riley is a knave, David is a knave, Benjamin is a knave, Jack is a knight, and Jacob is a knight.", "solution_text_format": "(1) Sofia is a knave\n(2) Daniel is a knave\n(3) Riley is a knave\n(4) David is a knave\n(5) Benjamin is a knave\n(6) Jack is a knight\n(7) Jacob is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sofia is a knight. No contradiction is found in their claim that Jack is a knight and Benjamin is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that David is a knave.", "David cannot be a knight, because this would contradict the claim of Jack that David is a knave.", "Assume David is a knave. No contradiction is found in their false claim that Jacob is a knave.", "Jacob cannot be a knight, because this would contradict the claim of their own that Sofia is a knave or David is a knight.", "Jacob cannot be a knave, because this would contradict the false claim of David that Jacob is a knave.", "We have exhausted all possibilities for Jacob and David, so let us go back and reconsider Jack.", "Jack cannot be a knave, because this would contradict the claim of Sofia that Jack is a knight and Benjamin is a knight.", "We have exhausted all possibilities for Jack, so let us go back and reconsider Sofia.", "Assume Sofia is a knave. No contradiction is found in their false claim that Jack is a knight and Benjamin is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that David is a knave.", "David cannot be a knight, because this would contradict the claim of Jack that David is a knave.", "Assume David is a knave. No contradiction is found in their false claim that Jacob is a knave.", "Assume Jacob is a knight. No contradiction is found in their claim that Sofia is a knave or David is a knight.", "Benjamin cannot be a knight, because this would contradict the false claim of Sofia that Jack is a knight and Benjamin is a knight.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Jack is not a knight.", "Daniel cannot be a knight, because this would contradict the claim of their own that Benjamin is not a knave.", "Assume Daniel is a knave. No contradiction is found in their false claim that Benjamin is not a knave.", "Riley cannot be a knight, because this would contradict the claim of their own that Jacob is a knave or Benjamin is a knight.", "Assume Riley is a knave. No contradiction is found in their false claim that Jacob is a knave or Benjamin is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 5), ('telling-truth', 4)), ('not', ('lying', 4)), ('or', ('lying', 6), ('telling-truth', 4)), ('lying', 6), ('not', ('telling-truth', 5)), ('lying', 3), ('or', ('lying', 0), ('telling-truth', 3)))", "index": 771}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Ava, Sophia, Sofia, Henry, Riley, Lucas, and Jackson. Ava told you that Sophia is a knave if and only if Lucas is a knight. Sophia commented, \"Lucas is a knave\". \"Sophia is a knight and Henry is a knight,\" Sofia declared. Henry asserted: \"Lucas is a knight and Ava is a knave\". \"Riley is a knight and Lucas is a knave,\" Riley claimed. Lucas stated, \"If Sophia is a knave then Ava is a knight\". In a statement by Jackson: \"If Jackson is a knight then Henry is a knave\". So who is a knight and who is a knave?", "names": ["Ava", "Sophia", "Sofia", "Henry", "Riley", "Lucas", "Jackson"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false, false, true, true], "solution_text": "Ava is a knight, Sophia is a knave, Sofia is a knave, Henry is a knave, Riley is a knave, Lucas is a knight, and Jackson is a knight.", "solution_text_format": "(1) Ava is a knight\n(2) Sophia is a knave\n(3) Sofia is a knave\n(4) Henry is a knave\n(5) Riley is a knave\n(6) Lucas is a knight\n(7) Jackson is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ava is a knight. No contradiction is found in their claim that Sophia is a knave if and only if Lucas is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that Lucas is a knave.", "Lucas cannot be a knight, because this would contradict the claim of Ava that Sophia is a knave if and only if Lucas is a knight.", "Lucas cannot be a knave, because this would contradict the false claim of their own that If Sophia is a knave then Ava is a knight.", "We have exhausted all possibilities for Lucas, so let us go back and reconsider Sophia.", "Assume Sophia is a knave. No contradiction is found in their false claim that Lucas is a knave.", "Assume Lucas is a knight. No contradiction is found in their claim that If Sophia is a knave then Ava is a knight.", "Sofia cannot be a knight, because this would contradict the claim of their own that Sophia is a knight and Henry is a knight.", "Assume Sofia is a knave. No contradiction is found in their false claim that Sophia is a knight and Henry is a knight.", "Henry cannot be a knight, because this would contradict the claim of their own that Lucas is a knight and Ava is a knave.", "Assume Henry is a knave. No contradiction is found in their false claim that Lucas is a knight and Ava is a knave.", "Riley cannot be a knight, because this would contradict the claim of their own that Riley is a knight and Lucas is a knave.", "Assume Riley is a knave. No contradiction is found in their false claim that Riley is a knight and Lucas is a knave.", "Assume Jackson is a knight. No contradiction is found in their claim that If Jackson is a knight then Henry is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('telling-truth', 5)), ('lying', 5), ('and', ('telling-truth', 1), ('telling-truth', 3)), ('and', ('telling-truth', 5), ('lying', 0)), ('and', ('telling-truth', 4), ('lying', 5)), ('->', ('lying', 1), ('telling-truth', 0)), ('->', ('telling-truth', 6), ('lying', 3)))", "index": 772}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Henry, Emma, Daniel, Aria, Mia, Grace, and Benjamin. Henry asserted: \"Emma is a knave if and only if Grace is a knight\". Emma was heard saying, \"If Emma is a knight then Mia is a knave\". Daniel told you that Benjamin is a knave if and only if Benjamin is a knight. Aria expressed that If Grace is a knight then Henry is a knight. Mia asserted: \"Henry is not a knave\". Grace remarked, \"Emma is not a knave\". According to Benjamin, \"If Emma is a knight then Aria is a knight\". So who is a knight and who is a knave?", "names": ["Henry", "Emma", "Daniel", "Aria", "Mia", "Grace", "Benjamin"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false, false, true, false], "solution_text": "Henry is a knave, Emma is a knight, Daniel is a knave, Aria is a knave, Mia is a knave, Grace is a knight, and Benjamin is a knave.", "solution_text_format": "(1) Henry is a knave\n(2) Emma is a knight\n(3) Daniel is a knave\n(4) Aria is a knave\n(5) Mia is a knave\n(6) Grace is a knight\n(7) Benjamin is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Henry is a knight. No contradiction is found in their claim that Emma is a knave if and only if Grace is a knight.", "Assume Emma is a knight. No contradiction is found in their claim that If Emma is a knight then Mia is a knave.", "Mia cannot be a knight, because this would contradict the claim of Emma that If Emma is a knight then Mia is a knave.", "Mia cannot be a knave, because this would contradict the false claim of their own that Henry is not a knave.", "We have exhausted all possibilities for Mia, so let us go back and reconsider Emma.", "Emma cannot be a knave, because this would contradict the false claim of their own that If Emma is a knight then Mia is a knave.", "We have exhausted all possibilities for Emma, so let us go back and reconsider Henry.", "Assume Henry is a knave. No contradiction is found in their false claim that Emma is a knave if and only if Grace is a knight.", "Assume Emma is a knight. No contradiction is found in their claim that If Emma is a knight then Mia is a knave.", "Mia cannot be a knight, because this would contradict the claim of Emma that If Emma is a knight then Mia is a knave.", "Assume Mia is a knave. No contradiction is found in their false claim that Henry is not a knave.", "Assume Grace is a knight. No contradiction is found in their claim that Emma is not a knave.", "Daniel cannot be a knight, because this would contradict the claim of their own that Benjamin is a knave if and only if Benjamin is a knight.", "Assume Daniel is a knave. No contradiction is found in their false claim that Benjamin is a knave if and only if Benjamin is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that If Emma is a knight then Aria is a knight.", "Aria cannot be a knight, because this would contradict the claim of their own that If Grace is a knight then Henry is a knight.", "Aria cannot be a knave, because this would contradict the claim of Benjamin that If Emma is a knight then Aria is a knight.", "We have exhausted all possibilities for Aria, so let us go back and reconsider Benjamin.", "Assume Benjamin is a knave. No contradiction is found in their false claim that If Emma is a knight then Aria is a knight.", "Aria cannot be a knight, because this would contradict the claim of their own that If Grace is a knight then Henry is a knight.", "Assume Aria is a knave. No contradiction is found in their false claim that If Grace is a knight then Henry is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('telling-truth', 5)), ('->', ('telling-truth', 1), ('lying', 4)), ('<=>', ('lying', 6), ('telling-truth', 6)), ('->', ('telling-truth', 5), ('telling-truth', 0)), ('not', ('lying', 0)), ('not', ('lying', 1)), ('->', ('telling-truth', 1), ('telling-truth', 3)))", "index": 773}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Aria, Scarlett, Aiden, Alexander, Matthew, Olivia, and Ella. As Aria put it, \"If Scarlett is a knave then Matthew is a knave\". In Scarlett's words: \"If Olivia is a knight then Ella is a knave\". Aiden noted, \"If Alexander is a knave then Matthew is a knave\". Alexander remarked, \"Scarlett is a knave\". Matthew told you that Ella is a knave or Olivia is a knave. \"If Aria is a knave then Olivia is a knight,\" Olivia mentioned. \"Aria is not a knight\" - Ella. So who is a knight and who is a knave?", "names": ["Aria", "Scarlett", "Aiden", "Alexander", "Matthew", "Olivia", "Ella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false, true, true, false], "solution_text": "Aria is a knight, Scarlett is a knight, Aiden is a knave, Alexander is a knave, Matthew is a knight, Olivia is a knight, and Ella is a knave.", "solution_text_format": "(1) Aria is a knight\n(2) Scarlett is a knight\n(3) Aiden is a knave\n(4) Alexander is a knave\n(5) Matthew is a knight\n(6) Olivia is a knight\n(7) Ella is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aria is a knight. No contradiction is found in their claim that If Scarlett is a knave then Matthew is a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that If Olivia is a knight then Ella is a knave.", "Assume Olivia is a knight. No contradiction is found in their claim that If Aria is a knave then Olivia is a knight.", "Ella cannot be a knight, because this would contradict the claim of Scarlett that If Olivia is a knight then Ella is a knave.", "Assume Ella is a knave. No contradiction is found in their false claim that Aria is not a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that Ella is a knave or Olivia is a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that If Alexander is a knave then Matthew is a knave.", "Alexander cannot be a knight, because this would contradict the claim of their own that Scarlett is a knave.", "Alexander cannot be a knave, because this would contradict the claim of Aiden that If Alexander is a knave then Matthew is a knave.", "We have exhausted all possibilities for Alexander, so let us go back and reconsider Aiden.", "Assume Aiden is a knave. No contradiction is found in their false claim that If Alexander is a knave then Matthew is a knave.", "Alexander cannot be a knight, because this would contradict the false claim of Aiden that If Alexander is a knave then Matthew is a knave.", "Assume Alexander is a knave. No contradiction is found in their false claim that Scarlett is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 1), ('lying', 4)), ('->', ('telling-truth', 5), ('lying', 6)), ('->', ('lying', 3), ('lying', 4)), ('lying', 1), ('or', ('lying', 6), ('lying', 5)), ('->', ('lying', 0), ('telling-truth', 5)), ('not', ('telling-truth', 0)))", "index": 774}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Ava, Victoria, Avery, Oliver, William, Riley, and Evelyn. Ava asserted: \"Riley is a knight\". Victoria expressed that Oliver is a knave. In Avery's words: \"Evelyn is a knight and Victoria is a knave\". Oliver stated, \"Victoria is a knave if and only if Oliver is a knight\". \"Oliver is a knight and Avery is a knight,\" William mentioned. \"Evelyn is a knave and Victoria is a knight,\" Riley mentioned. Evelyn told you that If Ava is a knave then Riley is a knave. So who is a knight and who is a knave?", "names": ["Ava", "Victoria", "Avery", "Oliver", "William", "Riley", "Evelyn"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true, true, false, true], "solution_text": "Ava is a knave, Victoria is a knave, Avery is a knight, Oliver is a knight, William is a knight, Riley is a knave, and Evelyn is a knight.", "solution_text_format": "(1) Ava is a knave\n(2) Victoria is a knave\n(3) Avery is a knight\n(4) Oliver is a knight\n(5) William is a knight\n(6) Riley is a knave\n(7) Evelyn is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ava is a knight. No contradiction is found in their claim that Riley is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that Evelyn is a knave and Victoria is a knight.", "Evelyn cannot be a knight, because this would contradict the claim of Riley that Evelyn is a knave and Victoria is a knight.", "Evelyn cannot be a knave, because this would contradict the false claim of their own that If Ava is a knave then Riley is a knave.", "We have exhausted all possibilities for Evelyn, so let us go back and reconsider Riley.", "Riley cannot be a knave, because this would contradict the claim of Ava that Riley is a knight.", "We have exhausted all possibilities for Riley, so let us go back and reconsider Ava.", "Assume Ava is a knave. No contradiction is found in their false claim that Riley is a knight.", "Riley cannot be a knight, because this would contradict the false claim of Ava that Riley is a knight.", "Assume Riley is a knave. No contradiction is found in their false claim that Evelyn is a knave and Victoria is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that If Ava is a knave then Riley is a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that Oliver is a knave.", "Oliver cannot be a knight, because this would contradict the claim of Victoria that Oliver is a knave.", "Oliver cannot be a knave, because this would contradict the false claim of their own that Victoria is a knave if and only if Oliver is a knight.", "We have exhausted all possibilities for Oliver, so let us go back and reconsider Victoria.", "Assume Victoria is a knave. No contradiction is found in their false claim that Oliver is a knave.", "Assume Oliver is a knight. No contradiction is found in their claim that Victoria is a knave if and only if Oliver is a knight.", "Assume Avery is a knight. No contradiction is found in their claim that Evelyn is a knight and Victoria is a knave.", "Assume William is a knight. No contradiction is found in their claim that Oliver is a knight and Avery is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 5), ('lying', 3), ('and', ('telling-truth', 6), ('lying', 1)), ('<=>', ('lying', 1), ('telling-truth', 3)), ('and', ('telling-truth', 3), ('telling-truth', 2)), ('and', ('lying', 6), ('telling-truth', 1)), ('->', ('lying', 0), ('lying', 5)))", "index": 775}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Grace, Harper, Avery, Aurora, Matthew, Aiden, and James. \"Aurora is a knight or Harper is a knave,\" Grace mentioned. Harper said, \"Grace is not a knave.\" In a statement by Avery: \"James is a knight or Matthew is a knight\". Aurora asserted: \"Harper is a knave if and only if James is a knight\". Matthew stated, \"Aiden is a knight and Avery is a knave\". Aiden was heard saying, \"Matthew is a knight if and only if Grace is a knight\". According to James, \"Harper is a knave and Avery is a knight\". So who is a knight and who is a knave?", "names": ["Grace", "Harper", "Avery", "Aurora", "Matthew", "Aiden", "James"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true, false, false, false], "solution_text": "Grace is a knight, Harper is a knight, Avery is a knave, Aurora is a knight, Matthew is a knave, Aiden is a knave, and James is a knave.", "solution_text_format": "(1) Grace is a knight\n(2) Harper is a knight\n(3) Avery is a knave\n(4) Aurora is a knight\n(5) Matthew is a knave\n(6) Aiden is a knave\n(7) James is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Grace is a knight. No contradiction is found in their claim that Aurora is a knight or Harper is a knave.", "Assume Aurora is a knight. No contradiction is found in their claim that Harper is a knave if and only if James is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that Grace is not a knave.", "James cannot be a knight, because this would contradict the claim of Aurora that Harper is a knave if and only if James is a knight.", "Assume James is a knave. No contradiction is found in their false claim that Harper is a knave and Avery is a knight.", "Assume Avery is a knight. No contradiction is found in their claim that James is a knight or Matthew is a knight.", "Matthew cannot be a knight, because this would contradict the claim of their own that Aiden is a knight and Avery is a knave.", "Matthew cannot be a knave, because this would contradict the claim of Avery that James is a knight or Matthew is a knight.", "We have exhausted all possibilities for Matthew, so let us go back and reconsider Avery.", "Assume Avery is a knave. No contradiction is found in their false claim that James is a knight or Matthew is a knight.", "Matthew cannot be a knight, because this would contradict the false claim of Avery that James is a knight or Matthew is a knight.", "Assume Matthew is a knave. No contradiction is found in their false claim that Aiden is a knight and Avery is a knave.", "Aiden cannot be a knight, because this would contradict the false claim of Matthew that Aiden is a knight and Avery is a knave.", "Assume Aiden is a knave. No contradiction is found in their false claim that Matthew is a knight if and only if Grace is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 3), ('lying', 1)), ('not', ('lying', 0)), ('or', ('telling-truth', 6), ('telling-truth', 4)), ('<=>', ('lying', 1), ('telling-truth', 6)), ('and', ('telling-truth', 5), ('lying', 2)), ('<=>', ('telling-truth', 4), ('telling-truth', 0)), ('and', ('lying', 1), ('telling-truth', 2)))", "index": 776}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Aria, Sebastian, Joseph, Oliver, Charlotte, Jackson, and Grace. Aria asserted: \"Sebastian is a knight and Grace is a knight\". According to Sebastian, \"Aria is not a knight\". Joseph noted, \"If Sebastian is a knave then Grace is a knight\". Oliver said that If Aria is a knave then Jackson is a knave. Charlotte said that Aria is a knight and Oliver is a knight. Jackson told you that Grace is a knave. Grace was heard saying, \"Sebastian is a knave if and only if Jackson is a knight\". So who is a knight and who is a knave?", "names": ["Aria", "Sebastian", "Joseph", "Oliver", "Charlotte", "Jackson", "Grace"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false, false, true, false], "solution_text": "Aria is a knave, Sebastian is a knight, Joseph is a knight, Oliver is a knave, Charlotte is a knave, Jackson is a knight, and Grace is a knave.", "solution_text_format": "(1) Aria is a knave\n(2) Sebastian is a knight\n(3) Joseph is a knight\n(4) Oliver is a knave\n(5) Charlotte is a knave\n(6) Jackson is a knight\n(7) Grace is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aria is a knight. No contradiction is found in their claim that Sebastian is a knight and Grace is a knight.", "Sebastian cannot be a knight, because this would contradict the claim of their own that Aria is not a knight.", "Sebastian cannot be a knave, because this would contradict the claim of Aria that Sebastian is a knight and Grace is a knight.", "We have exhausted all possibilities for Sebastian, so let us go back and reconsider Aria.", "Assume Aria is a knave. No contradiction is found in their false claim that Sebastian is a knight and Grace is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Aria is not a knight.", "Grace cannot be a knight, because this would contradict the false claim of Aria that Sebastian is a knight and Grace is a knight.", "Assume Grace is a knave. No contradiction is found in their false claim that Sebastian is a knave if and only if Jackson is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that Grace is a knave.", "Assume Joseph is a knight. No contradiction is found in their claim that If Sebastian is a knave then Grace is a knight.", "Oliver cannot be a knight, because this would contradict the claim of their own that If Aria is a knave then Jackson is a knave.", "Assume Oliver is a knave. No contradiction is found in their false claim that If Aria is a knave then Jackson is a knave.", "Charlotte cannot be a knight, because this would contradict the claim of their own that Aria is a knight and Oliver is a knight.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Aria is a knight and Oliver is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('telling-truth', 6)), ('not', ('telling-truth', 0)), ('->', ('lying', 1), ('telling-truth', 6)), ('->', ('lying', 0), ('lying', 5)), ('and', ('telling-truth', 0), ('telling-truth', 3)), ('lying', 6), ('<=>', ('lying', 1), ('telling-truth', 5)))", "index": 777}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Victoria, Mia, Henry, Noah, Ethan, Daniel, and Michael. Victoria remarked, \"Michael is not a knight\". In a statement by Mia: \"Ethan is a knave or Victoria is a knave\". \"Noah is a knave,\" Henry declared. Noah noted, \"Michael is a knave if and only if Noah is a knight\". Ethan told you that Daniel is not a knight. In a statement by Daniel: \"Henry is a knave if and only if Mia is a knight\". Michael asserted: \"Ethan is a knight\". So who is a knight and who is a knave?", "names": ["Victoria", "Mia", "Henry", "Noah", "Ethan", "Daniel", "Michael"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true, false, true, false], "solution_text": "Victoria is a knight, Mia is a knight, Henry is a knave, Noah is a knight, Ethan is a knave, Daniel is a knight, and Michael is a knave.", "solution_text_format": "(1) Victoria is a knight\n(2) Mia is a knight\n(3) Henry is a knave\n(4) Noah is a knight\n(5) Ethan is a knave\n(6) Daniel is a knight\n(7) Michael is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Victoria is a knight. No contradiction is found in their claim that Michael is not a knight.", "Michael cannot be a knight, because this would contradict the claim of Victoria that Michael is not a knight.", "Assume Michael is a knave. No contradiction is found in their false claim that Ethan is a knight.", "Ethan cannot be a knight, because this would contradict the false claim of Michael that Ethan is a knight.", "Assume Ethan is a knave. No contradiction is found in their false claim that Daniel is not a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that Henry is a knave if and only if Mia is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that Noah is a knave.", "Noah cannot be a knight, because this would contradict the claim of Henry that Noah is a knave.", "Assume Noah is a knave. No contradiction is found in their false claim that Michael is a knave if and only if Noah is a knight.", "Mia cannot be a knight, because this would contradict the claim of Daniel that Henry is a knave if and only if Mia is a knight.", "Mia cannot be a knave, because this would contradict the false claim of their own that Ethan is a knave or Victoria is a knave.", "We have exhausted all possibilities for Mia and Noah, so let us go back and reconsider Henry.", "Assume Henry is a knave. No contradiction is found in their false claim that Noah is a knave.", "Assume Noah is a knight. No contradiction is found in their claim that Michael is a knave if and only if Noah is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that Ethan is a knave or Victoria is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 6)), ('or', ('lying', 4), ('lying', 0)), ('lying', 3), ('<=>', ('lying', 6), ('telling-truth', 3)), ('not', ('telling-truth', 5)), ('<=>', ('lying', 2), ('telling-truth', 1)), ('telling-truth', 4))", "index": 778}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Michael, Jackson, William, David, Zoey, Charlotte, and Logan. Michael expressed that Jackson is a knave or David is a knight. \"If David is a knight then Zoey is a knight,\" Jackson claimed. \"Logan is a knight or Charlotte is a knight,\" William claimed. As David put it, \"Charlotte is a knave and William is a knight\". Zoey noted, \"If William is a knave then Charlotte is a knave\". \"Zoey is a knave if and only if William is a knight,\" Charlotte declared. \"William is a knight or Zoey is a knight,\" Logan declared. So who is a knight and who is a knave?", "names": ["Michael", "Jackson", "William", "David", "Zoey", "Charlotte", "Logan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, true, false, true], "solution_text": "Michael is a knight, Jackson is a knight, William is a knight, David is a knight, Zoey is a knight, Charlotte is a knave, and Logan is a knight.", "solution_text_format": "(1) Michael is a knight\n(2) Jackson is a knight\n(3) William is a knight\n(4) David is a knight\n(5) Zoey is a knight\n(6) Charlotte is a knave\n(7) Logan is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Michael is a knight. No contradiction is found in their claim that Jackson is a knave or David is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that If David is a knight then Zoey is a knight.", "Assume David is a knight. No contradiction is found in their claim that Charlotte is a knave and William is a knight.", "Charlotte cannot be a knight, because this would contradict the claim of David that Charlotte is a knave and William is a knight.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Zoey is a knave if and only if William is a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that If William is a knave then Charlotte is a knave.", "Assume William is a knight. No contradiction is found in their claim that Logan is a knight or Charlotte is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that William is a knight or Zoey is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('telling-truth', 3)), ('->', ('telling-truth', 3), ('telling-truth', 4)), ('or', ('telling-truth', 6), ('telling-truth', 5)), ('and', ('lying', 5), ('telling-truth', 2)), ('->', ('lying', 2), ('lying', 5)), ('<=>', ('lying', 4), ('telling-truth', 2)), ('or', ('telling-truth', 2), ('telling-truth', 4)))", "index": 779}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Aria, Henry, Grace, Ella, Benjamin, Daniel, and David. As Aria put it, \"Grace is not a knave\". Henry told you that Ella is a knight if and only if Grace is a knight. \"If Henry is a knave then Grace is a knight,\" Grace mentioned. Ella told you that Henry is a knight or Daniel is a knave. Benjamin asserted: \"Daniel is a knave\". According to Daniel, \"David is not a knave\". David noted, \"Benjamin is a knight and Grace is a knight\". So who is a knight and who is a knave?", "names": ["Aria", "Henry", "Grace", "Ella", "Benjamin", "Daniel", "David"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true, true, false, false], "solution_text": "Aria is a knave, Henry is a knave, Grace is a knave, Ella is a knight, Benjamin is a knight, Daniel is a knave, and David is a knave.", "solution_text_format": "(1) Aria is a knave\n(2) Henry is a knave\n(3) Grace is a knave\n(4) Ella is a knight\n(5) Benjamin is a knight\n(6) Daniel is a knave\n(7) David is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aria is a knight. No contradiction is found in their claim that Grace is not a knave.", "Assume Grace is a knight. No contradiction is found in their claim that If Henry is a knave then Grace is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that Ella is a knight if and only if Grace is a knight.", "Assume Ella is a knight. No contradiction is found in their claim that Henry is a knight or Daniel is a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that David is not a knave.", "Assume David is a knight. No contradiction is found in their claim that Benjamin is a knight and Grace is a knight.", "Benjamin cannot be a knight, because this would contradict the claim of their own that Daniel is a knave.", "Benjamin cannot be a knave, because this would contradict the claim of David that Benjamin is a knight and Grace is a knight.", "We have exhausted all possibilities for Benjamin, so let us go back and reconsider David.", "David cannot be a knave, because this would contradict the claim of Daniel that David is not a knave.", "We have exhausted all possibilities for David, so let us go back and reconsider Daniel.", "Assume Daniel is a knave. No contradiction is found in their false claim that David is not a knave.", "David cannot be a knight, because this would contradict the false claim of Daniel that David is not a knave.", "Assume David is a knave. No contradiction is found in their false claim that Benjamin is a knight and Grace is a knight.", "Benjamin cannot be a knight, because this would contradict the false claim of David that Benjamin is a knight and Grace is a knight.", "Benjamin cannot be a knave, because this would contradict the false claim of their own that Daniel is a knave.", "We have exhausted all possibilities for Benjamin, David, and Daniel, so let us go back and reconsider Ella.", "Ella cannot be a knave, because this would contradict the claim of Henry that Ella is a knight if and only if Grace is a knight.", "We have exhausted all possibilities for Ella, so let us go back and reconsider Henry.", "Assume Henry is a knave. No contradiction is found in their false claim that Ella is a knight if and only if Grace is a knight.", "Ella cannot be a knight, because this would contradict the false claim of Henry that Ella is a knight if and only if Grace is a knight.", "Assume Ella is a knave. No contradiction is found in their false claim that Henry is a knight or Daniel is a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that David is not a knave.", "Assume David is a knight. No contradiction is found in their claim that Benjamin is a knight and Grace is a knight.", "Benjamin cannot be a knight, because this would contradict the claim of their own that Daniel is a knave.", "Benjamin cannot be a knave, because this would contradict the claim of David that Benjamin is a knight and Grace is a knight.", "We have exhausted all possibilities for Benjamin, so let us go back and reconsider David.", "David cannot be a knave, because this would contradict the claim of Daniel that David is not a knave.", "We have exhausted all possibilities for David, so let us go back and reconsider Daniel.", "Daniel cannot be a knave, because this would contradict the false claim of Ella that Henry is a knight or Daniel is a knave.", "We have exhausted all possibilities for Daniel, Ella, and Henry, so let us go back and reconsider Grace.", "Grace cannot be a knave, because this would contradict the claim of Aria that Grace is not a knave.", "We have exhausted all possibilities for Grace, so let us go back and reconsider Aria.", "Assume Aria is a knave. No contradiction is found in their false claim that Grace is not a knave.", "Grace cannot be a knight, because this would contradict the false claim of Aria that Grace is not a knave.", "Assume Grace is a knave. No contradiction is found in their false claim that If Henry is a knave then Grace is a knight.", "Henry cannot be a knight, because this would contradict the false claim of Grace that If Henry is a knave then Grace is a knight.", "Assume Henry is a knave. No contradiction is found in their false claim that Ella is a knight if and only if Grace is a knight.", "Assume Ella is a knight. No contradiction is found in their claim that Henry is a knight or Daniel is a knave.", "Daniel cannot be a knight, because this would contradict the claim of Ella that Henry is a knight or Daniel is a knave.", "Assume Daniel is a knave. No contradiction is found in their false claim that David is not a knave.", "David cannot be a knight, because this would contradict the false claim of Daniel that David is not a knave.", "Assume David is a knave. No contradiction is found in their false claim that Benjamin is a knight and Grace is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that Daniel is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 2)), ('<=>', ('telling-truth', 3), ('telling-truth', 2)), ('->', ('lying', 1), ('telling-truth', 2)), ('or', ('telling-truth', 1), ('lying', 5)), ('lying', 5), ('not', ('lying', 6)), ('and', ('telling-truth', 4), ('telling-truth', 2)))", "index": 780}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Daniel, Victoria, Mia, Amelia, Aiden, Michael, and David. As Daniel put it, \"Mia is a knight if and only if Michael is a knave\". Victoria asserted: \"If Amelia is a knave then Michael is a knight\". In a statement by Mia: \"Michael is not a knave\". Amelia remarked, \"Aiden is a knave and David is a knave\". In Aiden's words: \"David is a knight if and only if Michael is a knight\". In Michael's words: \"If Daniel is a knight then David is a knight\". \"Michael is a knave if and only if Victoria is a knave,\" David claimed. So who is a knight and who is a knave?", "names": ["Daniel", "Victoria", "Mia", "Amelia", "Aiden", "Michael", "David"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false, true, true, true], "solution_text": "Daniel is a knave, Victoria is a knight, Mia is a knight, Amelia is a knave, Aiden is a knight, Michael is a knight, and David is a knight.", "solution_text_format": "(1) Daniel is a knave\n(2) Victoria is a knight\n(3) Mia is a knight\n(4) Amelia is a knave\n(5) Aiden is a knight\n(6) Michael is a knight\n(7) David is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Daniel is a knight. No contradiction is found in their claim that Mia is a knight if and only if Michael is a knave.", "Assume Mia is a knight. No contradiction is found in their claim that Michael is not a knave.", "Michael cannot be a knight, because this would contradict the claim of Daniel that Mia is a knight if and only if Michael is a knave.", "Michael cannot be a knave, because this would contradict the claim of Mia that Michael is not a knave.", "We have exhausted all possibilities for Michael, so let us go back and reconsider Mia.", "Assume Mia is a knave. No contradiction is found in their false claim that Michael is not a knave.", "Michael cannot be a knight, because this would contradict the false claim of Mia that Michael is not a knave.", "Michael cannot be a knave, because this would contradict the claim of Daniel that Mia is a knight if and only if Michael is a knave.", "We have exhausted all possibilities for Michael and Mia, so let us go back and reconsider Daniel.", "Assume Daniel is a knave. No contradiction is found in their false claim that Mia is a knight if and only if Michael is a knave.", "Assume Mia is a knight. No contradiction is found in their claim that Michael is not a knave.", "Assume Michael is a knight. No contradiction is found in their claim that If Daniel is a knight then David is a knight.", "Assume David is a knight. No contradiction is found in their claim that Michael is a knave if and only if Victoria is a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that If Amelia is a knave then Michael is a knight.", "Amelia cannot be a knight, because this would contradict the claim of their own that Aiden is a knave and David is a knave.", "Assume Amelia is a knave. No contradiction is found in their false claim that Aiden is a knave and David is a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that David is a knight if and only if Michael is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 2), ('lying', 5)), ('->', ('lying', 3), ('telling-truth', 5)), ('not', ('lying', 5)), ('and', ('lying', 4), ('lying', 6)), ('<=>', ('telling-truth', 6), ('telling-truth', 5)), ('->', ('telling-truth', 0), ('telling-truth', 6)), ('<=>', ('lying', 5), ('lying', 1)))", "index": 781}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: William, Lily, James, Charlotte, Harper, Jackson, and Sebastian. William noted, \"Charlotte is a knight\". \"If James is a knight then Jackson is a knave\" - Lily. James expressed that If Harper is a knight then William is a knave. Charlotte said, \"If William is a knight then Sebastian is a knight.\" Harper remarked, \"If William is a knave then Charlotte is a knight\". \"Sebastian is a knight and Sebastian is a knave\" - Jackson. In Sebastian's words: \"Lily is not a knave\". So who is a knight and who is a knave?", "names": ["William", "Lily", "James", "Charlotte", "Harper", "Jackson", "Sebastian"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true, true, false, true], "solution_text": "William is a knight, Lily is a knight, James is a knave, Charlotte is a knight, Harper is a knight, Jackson is a knave, and Sebastian is a knight.", "solution_text_format": "(1) William is a knight\n(2) Lily is a knight\n(3) James is a knave\n(4) Charlotte is a knight\n(5) Harper is a knight\n(6) Jackson is a knave\n(7) Sebastian is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume William is a knight. No contradiction is found in their claim that Charlotte is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that If William is a knight then Sebastian is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Lily is not a knave.", "Assume Lily is a knight. No contradiction is found in their claim that If James is a knight then Jackson is a knave.", "Assume James is a knight. No contradiction is found in their claim that If Harper is a knight then William is a knave.", "Harper cannot be a knight, because this would contradict the claim of James that If Harper is a knight then William is a knave.", "Harper cannot be a knave, because this would contradict the false claim of their own that If William is a knave then Charlotte is a knight.", "We have exhausted all possibilities for Harper, so let us go back and reconsider James.", "Assume James is a knave. No contradiction is found in their false claim that If Harper is a knight then William is a knave.", "Assume Harper is a knight. No contradiction is found in their claim that If William is a knave then Charlotte is a knight.", "Jackson cannot be a knight, because this would contradict the claim of their own that Sebastian is a knight and Sebastian is a knave.", "Assume Jackson is a knave. No contradiction is found in their false claim that Sebastian is a knight and Sebastian is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 3), ('->', ('telling-truth', 2), ('lying', 5)), ('->', ('telling-truth', 4), ('lying', 0)), ('->', ('telling-truth', 0), ('telling-truth', 6)), ('->', ('lying', 0), ('telling-truth', 3)), ('and', ('telling-truth', 6), ('lying', 6)), ('not', ('lying', 1)))", "index": 782}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Joseph, Henry, Aria, Noah, Alexander, Riley, and Jacob. Joseph was heard saying, \"Aria is not a knight\". \"Joseph is a knave if and only if Henry is a knight,\" Henry claimed. In Aria's words: \"If Henry is a knight then Joseph is a knave\". Noah said, \"Alexander is a knight if and only if Jacob is a knave.\" Alexander stated, \"Noah is a knave\". Riley asserted: \"Alexander is not a knight\". \"Henry is a knave and Riley is a knight\" - Jacob. So who is a knight and who is a knave?", "names": ["Joseph", "Henry", "Aria", "Noah", "Alexander", "Riley", "Jacob"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true, false, true, true], "solution_text": "Joseph is a knave, Henry is a knave, Aria is a knight, Noah is a knight, Alexander is a knave, Riley is a knight, and Jacob is a knight.", "solution_text_format": "(1) Joseph is a knave\n(2) Henry is a knave\n(3) Aria is a knight\n(4) Noah is a knight\n(5) Alexander is a knave\n(6) Riley is a knight\n(7) Jacob is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Joseph is a knight. No contradiction is found in their claim that Aria is not a knight.", "Aria cannot be a knight, because this would contradict the claim of Joseph that Aria is not a knight.", "Assume Aria is a knave. No contradiction is found in their false claim that If Henry is a knight then Joseph is a knave.", "Henry cannot be a knight, because this would contradict the claim of their own that Joseph is a knave if and only if Henry is a knight.", "Henry cannot be a knave, because this would contradict the false claim of their own that Joseph is a knave if and only if Henry is a knight.", "We have exhausted all possibilities for Henry and Aria, so let us go back and reconsider Joseph.", "Assume Joseph is a knave. No contradiction is found in their false claim that Aria is not a knight.", "Assume Aria is a knight. No contradiction is found in their claim that If Henry is a knight then Joseph is a knave.", "Assume Henry is a knight. No contradiction is found in their claim that Joseph is a knave if and only if Henry is a knight.", "Assume Noah is a knight. No contradiction is found in their claim that Alexander is a knight if and only if Jacob is a knave.", "Alexander cannot be a knight, because this would contradict the claim of their own that Noah is a knave.", "Assume Alexander is a knave. No contradiction is found in their false claim that Noah is a knave.", "Jacob cannot be a knight, because this would contradict the claim of their own that Henry is a knave and Riley is a knight.", "Jacob cannot be a knave, because this would contradict the claim of Noah that Alexander is a knight if and only if Jacob is a knave.", "We have exhausted all possibilities for Jacob and Alexander, so let us go back and reconsider Noah.", "Assume Noah is a knave. No contradiction is found in their false claim that Alexander is a knight if and only if Jacob is a knave.", "Assume Alexander is a knight. No contradiction is found in their claim that Noah is a knave.", "Jacob cannot be a knight, because this would contradict the claim of their own that Henry is a knave and Riley is a knight.", "Jacob cannot be a knave, because this would contradict the false claim of Noah that Alexander is a knight if and only if Jacob is a knave.", "We have exhausted all possibilities for Jacob, so let us go back and reconsider Alexander.", "Alexander cannot be a knave, because this would contradict the false claim of their own that Noah is a knave.", "We have exhausted all possibilities for Alexander and Noah, so let us go back and reconsider Henry.", "Assume Henry is a knave. No contradiction is found in their false claim that Joseph is a knave if and only if Henry is a knight.", "Assume Noah is a knight. No contradiction is found in their claim that Alexander is a knight if and only if Jacob is a knave.", "Alexander cannot be a knight, because this would contradict the claim of their own that Noah is a knave.", "Assume Alexander is a knave. No contradiction is found in their false claim that Noah is a knave.", "Assume Jacob is a knight. No contradiction is found in their claim that Henry is a knave and Riley is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that Alexander is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 2)), ('<=>', ('lying', 0), ('telling-truth', 1)), ('->', ('telling-truth', 1), ('lying', 0)), ('<=>', ('telling-truth', 4), ('lying', 6)), ('lying', 3), ('not', ('telling-truth', 4)), ('and', ('lying', 1), ('telling-truth', 5)))", "index": 783}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Emily, Isabella, Ava, Sophia, Luke, Benjamin, and Charlotte. \"Isabella is a knave and Isabella is a knight,\" Emily claimed. Isabella was heard saying, \"Emily is a knave\". As Ava put it, \"Emily is a knight and Isabella is a knight\". Sophia expressed that Luke is a knight and Sophia is a knight. According to Luke, \"If Benjamin is a knight then Sophia is a knight\". In a statement by Benjamin: \"Luke is a knave if and only if Sophia is a knight\". Charlotte commented, \"Sophia is a knight and Luke is a knave\". So who is a knight and who is a knave?", "names": ["Emily", "Isabella", "Ava", "Sophia", "Luke", "Benjamin", "Charlotte"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true, true, false, false], "solution_text": "Emily is a knave, Isabella is a knight, Ava is a knave, Sophia is a knight, Luke is a knight, Benjamin is a knave, and Charlotte is a knave.", "solution_text_format": "(1) Emily is a knave\n(2) Isabella is a knight\n(3) Ava is a knave\n(4) Sophia is a knight\n(5) Luke is a knight\n(6) Benjamin is a knave\n(7) Charlotte is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Emily cannot be a knight, because this would contradict the claim of their own that Isabella is a knave and Isabella is a knight.", "Assume Emily is a knave. No contradiction is found in their false claim that Isabella is a knave and Isabella is a knight.", "Assume Isabella is a knight. No contradiction is found in their claim that Emily is a knave.", "Ava cannot be a knight, because this would contradict the claim of their own that Emily is a knight and Isabella is a knight.", "Assume Ava is a knave. No contradiction is found in their false claim that Emily is a knight and Isabella is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that Luke is a knight and Sophia is a knight.", "Assume Luke is a knight. No contradiction is found in their claim that If Benjamin is a knight then Sophia is a knight.", "Benjamin cannot be a knight, because this would contradict the claim of their own that Luke is a knave if and only if Sophia is a knight.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Luke is a knave if and only if Sophia is a knight.", "Charlotte cannot be a knight, because this would contradict the claim of their own that Sophia is a knight and Luke is a knave.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Sophia is a knight and Luke is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('telling-truth', 1)), ('lying', 0), ('and', ('telling-truth', 0), ('telling-truth', 1)), ('and', ('telling-truth', 4), ('telling-truth', 3)), ('->', ('telling-truth', 5), ('telling-truth', 3)), ('<=>', ('lying', 4), ('telling-truth', 3)), ('and', ('telling-truth', 3), ('lying', 4)))", "index": 784}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Evelyn, Michael, Henry, Benjamin, Sophia, Elizabeth, and Harper. Evelyn was heard saying, \"Sophia is a knave or Sophia is a knight\". \"Harper is not a knave,\" Michael claimed. As Henry put it, \"Harper is a knave if and only if Benjamin is a knight\". Benjamin was heard saying, \"Sophia is a knight or Evelyn is a knave\". Sophia asserted: \"If Henry is a knave then Sophia is a knight\". \"Michael is a knight and Benjamin is a knight,\" Elizabeth mentioned. Harper expressed that If Elizabeth is a knight then Sophia is a knight. So who is a knight and who is a knave?", "names": ["Evelyn", "Michael", "Henry", "Benjamin", "Sophia", "Elizabeth", "Harper"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true, true, true, true], "solution_text": "Evelyn is a knight, Michael is a knight, Henry is a knave, Benjamin is a knight, Sophia is a knight, Elizabeth is a knight, and Harper is a knight.", "solution_text_format": "(1) Evelyn is a knight\n(2) Michael is a knight\n(3) Henry is a knave\n(4) Benjamin is a knight\n(5) Sophia is a knight\n(6) Elizabeth is a knight\n(7) Harper is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Evelyn is a knight. No contradiction is found in their claim that Sophia is a knave or Sophia is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that If Henry is a knave then Sophia is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that Harper is a knave if and only if Benjamin is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that If Elizabeth is a knight then Sophia is a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Michael is a knight and Benjamin is a knight.", "Assume Michael is a knight. No contradiction is found in their claim that Harper is not a knave.", "Benjamin cannot be a knight, because this would contradict the claim of Henry that Harper is a knave if and only if Benjamin is a knight.", "Benjamin cannot be a knave, because this would contradict the false claim of their own that Sophia is a knight or Evelyn is a knave.", "We have exhausted all possibilities for Benjamin, so let us go back and reconsider Michael.", "Michael cannot be a knave, because this would contradict the false claim of their own that Harper is not a knave.", "We have exhausted all possibilities for Michael, so let us go back and reconsider Elizabeth.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Michael is a knight and Benjamin is a knight.", "Assume Michael is a knight. No contradiction is found in their claim that Harper is not a knave.", "Benjamin cannot be a knight, because this would contradict the claim of Henry that Harper is a knave if and only if Benjamin is a knight.", "Benjamin cannot be a knave, because this would contradict the false claim of their own that Sophia is a knight or Evelyn is a knave.", "We have exhausted all possibilities for Benjamin, so let us go back and reconsider Michael.", "Michael cannot be a knave, because this would contradict the false claim of their own that Harper is not a knave.", "We have exhausted all possibilities for Michael and Elizabeth, so let us go back and reconsider Harper.", "Harper cannot be a knave, because this would contradict the false claim of their own that If Elizabeth is a knight then Sophia is a knight.", "We have exhausted all possibilities for Harper, so let us go back and reconsider Henry.", "Assume Henry is a knave. No contradiction is found in their false claim that Harper is a knave if and only if Benjamin is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that If Elizabeth is a knight then Sophia is a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Michael is a knight and Benjamin is a knight.", "Assume Michael is a knight. No contradiction is found in their claim that Harper is not a knave.", "Assume Benjamin is a knight. No contradiction is found in their claim that Sophia is a knight or Evelyn is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 4), ('telling-truth', 4)), ('not', ('lying', 6)), ('<=>', ('lying', 6), ('telling-truth', 3)), ('or', ('telling-truth', 4), ('lying', 0)), ('->', ('lying', 2), ('telling-truth', 4)), ('and', ('telling-truth', 1), ('telling-truth', 3)), ('->', ('telling-truth', 5), ('telling-truth', 4)))", "index": 785}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Liam, Elizabeth, Mason, Zoey, Michael, Jack, and Joseph. Liam expressed that Liam is a knight if and only if Joseph is a knave. Elizabeth asserted: \"If Jack is a knight then Michael is a knave\". Mason expressed that Elizabeth is a knave or Joseph is a knight. Zoey noted, \"Mason is not a knight\". \"If Elizabeth is a knave then Jack is a knave,\" Michael mentioned. In a statement by Jack: \"Liam is a knight\". Joseph was heard saying, \"Zoey is a knave if and only if Elizabeth is a knight\". So who is a knight and who is a knave?", "names": ["Liam", "Elizabeth", "Mason", "Zoey", "Michael", "Jack", "Joseph"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true, true, false, false], "solution_text": "Liam is a knave, Elizabeth is a knight, Mason is a knave, Zoey is a knight, Michael is a knight, Jack is a knave, and Joseph is a knave.", "solution_text_format": "(1) Liam is a knave\n(2) Elizabeth is a knight\n(3) Mason is a knave\n(4) Zoey is a knight\n(5) Michael is a knight\n(6) Jack is a knave\n(7) Joseph is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Liam is a knight. No contradiction is found in their claim that Liam is a knight if and only if Joseph is a knave.", "Joseph cannot be a knight, because this would contradict the claim of Liam that Liam is a knight if and only if Joseph is a knave.", "Assume Joseph is a knave. No contradiction is found in their false claim that Zoey is a knave if and only if Elizabeth is a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that Mason is not a knight.", "Mason cannot be a knight, because this would contradict the claim of Zoey that Mason is not a knight.", "Assume Mason is a knave. No contradiction is found in their false claim that Elizabeth is a knave or Joseph is a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that If Jack is a knight then Michael is a knave.", "Assume Jack is a knight. No contradiction is found in their claim that Liam is a knight.", "Michael cannot be a knight, because this would contradict the claim of Elizabeth that If Jack is a knight then Michael is a knave.", "Michael cannot be a knave, because this would contradict the false claim of their own that If Elizabeth is a knave then Jack is a knave.", "We have exhausted all possibilities for Michael, so let us go back and reconsider Jack.", "Jack cannot be a knave, because this would contradict the false claim of their own that Liam is a knight.", "We have exhausted all possibilities for Jack, so let us go back and reconsider Elizabeth.", "Elizabeth cannot be a knave, because this would contradict the false claim of Mason that Elizabeth is a knave or Joseph is a knight.", "We have exhausted all possibilities for Elizabeth and Mason, so let us go back and reconsider Zoey.", "Assume Zoey is a knave. No contradiction is found in their false claim that Mason is not a knight.", "Assume Mason is a knight. No contradiction is found in their claim that Elizabeth is a knave or Joseph is a knight.", "Elizabeth cannot be a knight, because this would contradict the claim of Mason that Elizabeth is a knave or Joseph is a knight.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that If Jack is a knight then Michael is a knave.", "Assume Jack is a knight. No contradiction is found in their claim that Liam is a knight.", "Michael cannot be a knight, because this would contradict the claim of their own that If Elizabeth is a knave then Jack is a knave.", "Michael cannot be a knave, because this would contradict the false claim of Elizabeth that If Jack is a knight then Michael is a knave.", "We have exhausted all possibilities for Michael, so let us go back and reconsider Jack.", "Jack cannot be a knave, because this would contradict the false claim of Elizabeth that If Jack is a knight then Michael is a knave.", "We have exhausted all possibilities for Jack and Elizabeth, so let us go back and reconsider Mason.", "Mason cannot be a knave, because this would contradict the false claim of Zoey that Mason is not a knight.", "We have exhausted all possibilities for Mason, Zoey, and Joseph, so let us go back and reconsider Liam.", "Assume Liam is a knave. No contradiction is found in their false claim that Liam is a knight if and only if Joseph is a knave.", "Joseph cannot be a knight, because this would contradict the false claim of Liam that Liam is a knight if and only if Joseph is a knave.", "Assume Joseph is a knave. No contradiction is found in their false claim that Zoey is a knave if and only if Elizabeth is a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that Mason is not a knight.", "Mason cannot be a knight, because this would contradict the claim of Zoey that Mason is not a knight.", "Assume Mason is a knave. No contradiction is found in their false claim that Elizabeth is a knave or Joseph is a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that If Jack is a knight then Michael is a knave.", "Jack cannot be a knight, because this would contradict the claim of their own that Liam is a knight.", "Assume Jack is a knave. No contradiction is found in their false claim that Liam is a knight.", "Assume Michael is a knight. No contradiction is found in their claim that If Elizabeth is a knave then Jack is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 0), ('lying', 6)), ('->', ('telling-truth', 5), ('lying', 4)), ('or', ('lying', 1), ('telling-truth', 6)), ('not', ('telling-truth', 2)), ('->', ('lying', 1), ('lying', 5)), ('telling-truth', 0), ('<=>', ('lying', 3), ('telling-truth', 1)))", "index": 786}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Luke, Scarlett, Grace, Sofia, Jackson, David, and Daniel. According to Luke, \"Grace is a knight and Daniel is a knight\". \"Luke is a knight or David is a knave,\" Scarlett mentioned. Grace was heard saying, \"David is not a knave\". Sofia told you that Grace is a knave. In Jackson's words: \"Sofia is not a knave\". \"If Sofia is a knave then Daniel is a knight,\" David claimed. Daniel asserted: \"Grace is a knight\". So who is a knight and who is a knave?", "names": ["Luke", "Scarlett", "Grace", "Sofia", "Jackson", "David", "Daniel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false, false, true, true], "solution_text": "Luke is a knight, Scarlett is a knight, Grace is a knight, Sofia is a knave, Jackson is a knave, David is a knight, and Daniel is a knight.", "solution_text_format": "(1) Luke is a knight\n(2) Scarlett is a knight\n(3) Grace is a knight\n(4) Sofia is a knave\n(5) Jackson is a knave\n(6) David is a knight\n(7) Daniel is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Luke is a knight. No contradiction is found in their claim that Grace is a knight and Daniel is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that David is not a knave.", "Assume David is a knight. No contradiction is found in their claim that If Sofia is a knave then Daniel is a knight.", "Sofia cannot be a knight, because this would contradict the claim of their own that Grace is a knave.", "Assume Sofia is a knave. No contradiction is found in their false claim that Grace is a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that Grace is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that Luke is a knight or David is a knave.", "Jackson cannot be a knight, because this would contradict the claim of their own that Sofia is not a knave.", "Assume Jackson is a knave. No contradiction is found in their false claim that Sofia is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 2), ('telling-truth', 6)), ('or', ('telling-truth', 0), ('lying', 5)), ('not', ('lying', 5)), ('lying', 2), ('not', ('lying', 3)), ('->', ('lying', 3), ('telling-truth', 6)), ('telling-truth', 2))", "index": 787}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Ella, James, Aiden, William, Ava, David, and Sebastian. Ella told you that Sebastian is a knight or David is a knave. \"If Aiden is a knight then James is a knight\" - James. Aiden said that David is a knight and James is a knave. William told you that If James is a knave then Ella is a knave. \"David is a knight and William is a knave,\" Ava declared. In a statement by David: \"William is a knave and Aiden is a knave\". \"If James is a knight then Ava is a knight,\" Sebastian claimed. So who is a knight and who is a knave?", "names": ["Ella", "James", "Aiden", "William", "Ava", "David", "Sebastian"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true, false, false, false], "solution_text": "Ella is a knight, James is a knight, Aiden is a knave, William is a knight, Ava is a knave, David is a knave, and Sebastian is a knave.", "solution_text_format": "(1) Ella is a knight\n(2) James is a knight\n(3) Aiden is a knave\n(4) William is a knight\n(5) Ava is a knave\n(6) David is a knave\n(7) Sebastian is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ella is a knight. No contradiction is found in their claim that Sebastian is a knight or David is a knave.", "Assume Sebastian is a knight. No contradiction is found in their claim that If James is a knight then Ava is a knight.", "Assume James is a knight. No contradiction is found in their claim that If Aiden is a knight then James is a knight.", "Aiden cannot be a knight, because this would contradict the claim of their own that David is a knight and James is a knave.", "Assume Aiden is a knave. No contradiction is found in their false claim that David is a knight and James is a knave.", "Assume David is a knight. No contradiction is found in their claim that William is a knave and Aiden is a knave.", "William cannot be a knight, because this would contradict the claim of David that William is a knave and Aiden is a knave.", "William cannot be a knave, because this would contradict the false claim of their own that If James is a knave then Ella is a knave.", "We have exhausted all possibilities for William, so let us go back and reconsider David.", "Assume David is a knave. No contradiction is found in their false claim that William is a knave and Aiden is a knave.", "Assume William is a knight. No contradiction is found in their claim that If James is a knave then Ella is a knave.", "Ava cannot be a knight, because this would contradict the claim of their own that David is a knight and William is a knave.", "Ava cannot be a knave, because this would contradict the claim of Sebastian that If James is a knight then Ava is a knight.", "We have exhausted all possibilities for Ava, so let us go back and reconsider William.", "William cannot be a knave, because this would contradict the false claim of their own that If James is a knave then Ella is a knave.", "We have exhausted all possibilities for William, David, and Aiden, so let us go back and reconsider James.", "Assume James is a knave. No contradiction is found in their false claim that If Aiden is a knight then James is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that David is a knight and James is a knave.", "David cannot be a knight, because this would contradict the claim of their own that William is a knave and Aiden is a knave.", "David cannot be a knave, because this would contradict the claim of Aiden that David is a knight and James is a knave.", "We have exhausted all possibilities for David, so let us go back and reconsider Aiden.", "Aiden cannot be a knave, because this would contradict the false claim of James that If Aiden is a knight then James is a knight.", "We have exhausted all possibilities for Aiden and James, so let us go back and reconsider Sebastian.", "Assume Sebastian is a knave. No contradiction is found in their false claim that If James is a knight then Ava is a knight.", "Assume James is a knight. No contradiction is found in their claim that If Aiden is a knight then James is a knight.", "Aiden cannot be a knight, because this would contradict the claim of their own that David is a knight and James is a knave.", "Assume Aiden is a knave. No contradiction is found in their false claim that David is a knight and James is a knave.", "David cannot be a knight, because this would contradict the claim of Ella that Sebastian is a knight or David is a knave.", "Assume David is a knave. No contradiction is found in their false claim that William is a knave and Aiden is a knave.", "Assume William is a knight. No contradiction is found in their claim that If James is a knave then Ella is a knave.", "Ava cannot be a knight, because this would contradict the claim of their own that David is a knight and William is a knave.", "Assume Ava is a knave. No contradiction is found in their false claim that David is a knight and William is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 6), ('lying', 5)), ('->', ('telling-truth', 2), ('telling-truth', 1)), ('and', ('telling-truth', 5), ('lying', 1)), ('->', ('lying', 1), ('lying', 0)), ('and', ('telling-truth', 5), ('lying', 3)), ('and', ('lying', 3), ('lying', 2)), ('->', ('telling-truth', 1), ('telling-truth', 4)))", "index": 788}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Mason, Amelia, Ethan, Michael, Ella, Ava, and Mia. \"Mia is not a knave,\" Mason mentioned. According to Amelia, \"Amelia is a knight or Ethan is a knave\". \"Michael is not a knight\" - Ethan. \"Ella is a knave,\" Michael declared. Ella noted, \"If Amelia is a knave then Amelia is a knight\". Ava said, \"Amelia is a knight or Michael is a knave.\" Mia said, \"If Michael is a knight then Ava is a knight.\" So who is a knight and who is a knave?", "names": ["Mason", "Amelia", "Ethan", "Michael", "Ella", "Ava", "Mia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false, true, true, true], "solution_text": "Mason is a knight, Amelia is a knight, Ethan is a knight, Michael is a knave, Ella is a knight, Ava is a knight, and Mia is a knight.", "solution_text_format": "(1) Mason is a knight\n(2) Amelia is a knight\n(3) Ethan is a knight\n(4) Michael is a knave\n(5) Ella is a knight\n(6) Ava is a knight\n(7) Mia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Mason is a knight. No contradiction is found in their claim that Mia is not a knave.", "Assume Mia is a knight. No contradiction is found in their claim that If Michael is a knight then Ava is a knight.", "Assume Michael is a knight. No contradiction is found in their claim that Ella is a knave.", "Ella cannot be a knight, because this would contradict the claim of Michael that Ella is a knave.", "Assume Ella is a knave. No contradiction is found in their false claim that If Amelia is a knave then Amelia is a knight.", "Amelia cannot be a knight, because this would contradict the false claim of Ella that If Amelia is a knave then Amelia is a knight.", "Assume Amelia is a knave. No contradiction is found in their false claim that Amelia is a knight or Ethan is a knave.", "Ethan cannot be a knight, because this would contradict the claim of their own that Michael is not a knight.", "Ethan cannot be a knave, because this would contradict the false claim of Amelia that Amelia is a knight or Ethan is a knave.", "We have exhausted all possibilities for Ethan, Amelia, and Ella, so let us go back and reconsider Michael.", "Assume Michael is a knave. No contradiction is found in their false claim that Ella is a knave.", "Assume Ella is a knight. No contradiction is found in their claim that If Amelia is a knave then Amelia is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that Amelia is a knight or Ethan is a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that Michael is not a knight.", "Assume Ava is a knight. No contradiction is found in their claim that Amelia is a knight or Michael is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 6)), ('or', ('telling-truth', 1), ('lying', 2)), ('not', ('telling-truth', 3)), ('lying', 4), ('->', ('lying', 1), ('telling-truth', 1)), ('or', ('telling-truth', 1), ('lying', 3)), ('->', ('telling-truth', 3), ('telling-truth', 5)))", "index": 789}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Ava, Sebastian, David, Mia, Lucas, Aurora, and Oliver. Ava told you that Lucas is not a knave. Sebastian said, \"Mia is a knave if and only if Ava is a knight.\" David stated, \"Oliver is a knave if and only if Ava is a knave\". Mia noted, \"If David is a knight then Ava is a knight\". Lucas remarked, \"David is a knight\". According to Aurora, \"Oliver is a knight\". Oliver stated, \"Lucas is not a knight\". So who is a knight and who is a knave?", "names": ["Ava", "Sebastian", "David", "Mia", "Lucas", "Aurora", "Oliver"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true, false, true, true], "solution_text": "Ava is a knave, Sebastian is a knight, David is a knave, Mia is a knight, Lucas is a knave, Aurora is a knight, and Oliver is a knight.", "solution_text_format": "(1) Ava is a knave\n(2) Sebastian is a knight\n(3) David is a knave\n(4) Mia is a knight\n(5) Lucas is a knave\n(6) Aurora is a knight\n(7) Oliver is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ava is a knight. No contradiction is found in their claim that Lucas is not a knave.", "Assume Lucas is a knight. No contradiction is found in their claim that David is a knight.", "Assume David is a knight. No contradiction is found in their claim that Oliver is a knave if and only if Ava is a knave.", "Oliver cannot be a knight, because this would contradict the claim of their own that Lucas is not a knight.", "Oliver cannot be a knave, because this would contradict the claim of David that Oliver is a knave if and only if Ava is a knave.", "We have exhausted all possibilities for Oliver, so let us go back and reconsider David.", "David cannot be a knave, because this would contradict the claim of Lucas that David is a knight.", "We have exhausted all possibilities for David, so let us go back and reconsider Lucas.", "Lucas cannot be a knave, because this would contradict the claim of Ava that Lucas is not a knave.", "We have exhausted all possibilities for Lucas, so let us go back and reconsider Ava.", "Assume Ava is a knave. No contradiction is found in their false claim that Lucas is not a knave.", "Lucas cannot be a knight, because this would contradict the false claim of Ava that Lucas is not a knave.", "Assume Lucas is a knave. No contradiction is found in their false claim that David is a knight.", "David cannot be a knight, because this would contradict the false claim of Lucas that David is a knight.", "Assume David is a knave. No contradiction is found in their false claim that Oliver is a knave if and only if Ava is a knave.", "Assume Oliver is a knight. No contradiction is found in their claim that Lucas is not a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Mia is a knave if and only if Ava is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that If David is a knight then Ava is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that Oliver is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 4)), ('<=>', ('lying', 3), ('telling-truth', 0)), ('<=>', ('lying', 6), ('lying', 0)), ('->', ('telling-truth', 2), ('telling-truth', 0)), ('telling-truth', 2), ('telling-truth', 6), ('not', ('telling-truth', 4)))", "index": 790}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Evelyn, Aurora, Abigail, Luke, Scarlett, Zoey, and Matthew. In Evelyn's words: \"Zoey is a knight\". Aurora was heard saying, \"Zoey is a knave\". Abigail noted, \"Luke is a knight\". \"Evelyn is a knave or Evelyn is a knight,\" Luke claimed. Scarlett asserted: \"If Luke is a knave then Matthew is a knave\". As Zoey put it, \"Scarlett is a knave and Aurora is a knight\". In Matthew's words: \"Evelyn is a knave and Zoey is a knight\". So who is a knight and who is a knave?", "names": ["Evelyn", "Aurora", "Abigail", "Luke", "Scarlett", "Zoey", "Matthew"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, true, false, false], "solution_text": "Evelyn is a knave, Aurora is a knight, Abigail is a knight, Luke is a knight, Scarlett is a knight, Zoey is a knave, and Matthew is a knave.", "solution_text_format": "(1) Evelyn is a knave\n(2) Aurora is a knight\n(3) Abigail is a knight\n(4) Luke is a knight\n(5) Scarlett is a knight\n(6) Zoey is a knave\n(7) Matthew is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Evelyn is a knight. No contradiction is found in their claim that Zoey is a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that Scarlett is a knave and Aurora is a knight.", "Scarlett cannot be a knight, because this would contradict the claim of Zoey that Scarlett is a knave and Aurora is a knight.", "Assume Scarlett is a knave. No contradiction is found in their false claim that If Luke is a knave then Matthew is a knave.", "Luke cannot be a knight, because this would contradict the false claim of Scarlett that If Luke is a knave then Matthew is a knave.", "Luke cannot be a knave, because this would contradict the false claim of their own that Evelyn is a knave or Evelyn is a knight.", "We have exhausted all possibilities for Luke and Scarlett, so let us go back and reconsider Zoey.", "Zoey cannot be a knave, because this would contradict the claim of Evelyn that Zoey is a knight.", "We have exhausted all possibilities for Zoey, so let us go back and reconsider Evelyn.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Zoey is a knight.", "Zoey cannot be a knight, because this would contradict the false claim of Evelyn that Zoey is a knight.", "Assume Zoey is a knave. No contradiction is found in their false claim that Scarlett is a knave and Aurora is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that If Luke is a knave then Matthew is a knave.", "Assume Luke is a knight. No contradiction is found in their claim that Evelyn is a knave or Evelyn is a knight.", "Matthew cannot be a knight, because this would contradict the claim of their own that Evelyn is a knave and Zoey is a knight.", "Assume Matthew is a knave. No contradiction is found in their false claim that Evelyn is a knave and Zoey is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that Zoey is a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that Luke is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 5), ('lying', 5), ('telling-truth', 3), ('or', ('lying', 0), ('telling-truth', 0)), ('->', ('lying', 3), ('lying', 6)), ('and', ('lying', 4), ('telling-truth', 1)), ('and', ('lying', 0), ('telling-truth', 5)))", "index": 791}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Victoria, Henry, Ava, Daniel, Isabella, Ella, and Liam. Victoria noted, \"If Isabella is a knight then Ella is a knave\". Henry asserted: \"Daniel is a knight or Victoria is a knight\". Ava stated, \"Liam is a knave if and only if Daniel is a knave\". In a statement by Daniel: \"If Victoria is a knave then Liam is a knight\". As Isabella put it, \"Daniel is not a knight\". Ella told you that Victoria is a knave if and only if Henry is a knight. In Liam's words: \"If Victoria is a knight then Daniel is a knight\". So who is a knight and who is a knave?", "names": ["Victoria", "Henry", "Ava", "Daniel", "Isabella", "Ella", "Liam"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, false, false, true], "solution_text": "Victoria is a knight, Henry is a knight, Ava is a knight, Daniel is a knight, Isabella is a knave, Ella is a knave, and Liam is a knight.", "solution_text_format": "(1) Victoria is a knight\n(2) Henry is a knight\n(3) Ava is a knight\n(4) Daniel is a knight\n(5) Isabella is a knave\n(6) Ella is a knave\n(7) Liam is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Victoria is a knight. No contradiction is found in their claim that If Isabella is a knight then Ella is a knave.", "Assume Isabella is a knight. No contradiction is found in their claim that Daniel is not a knight.", "Daniel cannot be a knight, because this would contradict the claim of Isabella that Daniel is not a knight.", "Daniel cannot be a knave, because this would contradict the false claim of their own that If Victoria is a knave then Liam is a knight.", "We have exhausted all possibilities for Daniel, so let us go back and reconsider Isabella.", "Assume Isabella is a knave. No contradiction is found in their false claim that Daniel is not a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that If Victoria is a knave then Liam is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that If Victoria is a knight then Daniel is a knight.", "Assume Ella is a knight. No contradiction is found in their claim that Victoria is a knave if and only if Henry is a knight.", "Henry cannot be a knight, because this would contradict the claim of Ella that Victoria is a knave if and only if Henry is a knight.", "Henry cannot be a knave, because this would contradict the false claim of their own that Daniel is a knight or Victoria is a knight.", "We have exhausted all possibilities for Henry, so let us go back and reconsider Ella.", "Assume Ella is a knave. No contradiction is found in their false claim that Victoria is a knave if and only if Henry is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that Daniel is a knight or Victoria is a knight.", "Assume Ava is a knight. No contradiction is found in their claim that Liam is a knave if and only if Daniel is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 4), ('lying', 5)), ('or', ('telling-truth', 3), ('telling-truth', 0)), ('<=>', ('lying', 6), ('lying', 3)), ('->', ('lying', 0), ('telling-truth', 6)), ('not', ('telling-truth', 3)), ('<=>', ('lying', 0), ('telling-truth', 1)), ('->', ('telling-truth', 0), ('telling-truth', 3)))", "index": 792}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Avery, Emma, Elizabeth, Benjamin, Sophia, Ava, and Evelyn. In Avery's words: \"Elizabeth is a knave\". Emma said, \"Elizabeth is a knight.\" As Elizabeth put it, \"Sophia is a knave or Benjamin is a knave\". Benjamin expressed that If Emma is a knight then Elizabeth is a knave. \"Avery is a knave and Benjamin is a knave\" - Sophia. Ava told you that Benjamin is a knave or Avery is a knight. Evelyn told you that If Elizabeth is a knave then Elizabeth is a knight. So who is a knight and who is a knave?", "names": ["Avery", "Emma", "Elizabeth", "Benjamin", "Sophia", "Ava", "Evelyn"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false, true, true, true], "solution_text": "Avery is a knave, Emma is a knight, Elizabeth is a knight, Benjamin is a knave, Sophia is a knight, Ava is a knight, and Evelyn is a knight.", "solution_text_format": "(1) Avery is a knave\n(2) Emma is a knight\n(3) Elizabeth is a knight\n(4) Benjamin is a knave\n(5) Sophia is a knight\n(6) Ava is a knight\n(7) Evelyn is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Avery is a knight. No contradiction is found in their claim that Elizabeth is a knave.", "Elizabeth cannot be a knight, because this would contradict the claim of Avery that Elizabeth is a knave.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Sophia is a knave or Benjamin is a knave.", "Sophia cannot be a knight, because this would contradict the claim of their own that Avery is a knave and Benjamin is a knave.", "Sophia cannot be a knave, because this would contradict the false claim of Elizabeth that Sophia is a knave or Benjamin is a knave.", "We have exhausted all possibilities for Sophia and Elizabeth, so let us go back and reconsider Avery.", "Assume Avery is a knave. No contradiction is found in their false claim that Elizabeth is a knave.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Sophia is a knave or Benjamin is a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that Avery is a knave and Benjamin is a knave.", "Benjamin cannot be a knight, because this would contradict the claim of Elizabeth that Sophia is a knave or Benjamin is a knave.", "Assume Benjamin is a knave. No contradiction is found in their false claim that If Emma is a knight then Elizabeth is a knave.", "Assume Emma is a knight. No contradiction is found in their claim that Elizabeth is a knight.", "Assume Ava is a knight. No contradiction is found in their claim that Benjamin is a knave or Avery is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that If Elizabeth is a knave then Elizabeth is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 2), ('telling-truth', 2), ('or', ('lying', 4), ('lying', 3)), ('->', ('telling-truth', 1), ('lying', 2)), ('and', ('lying', 0), ('lying', 3)), ('or', ('lying', 3), ('telling-truth', 0)), ('->', ('lying', 2), ('telling-truth', 2)))", "index": 793}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Harper, Jacob, Avery, Henry, James, Chloe, and Penelope. Harper commented, \"James is a knight and James is a knave\". As Jacob put it, \"James is a knight\". Avery was heard saying, \"Jacob is a knight and James is a knight\". \"If Harper is a knight then Penelope is a knave,\" Henry claimed. \"Harper is not a knight,\" James declared. According to Chloe, \"Jacob is a knight\". Penelope told you that Chloe is a knave. So who is a knight and who is a knave?", "names": ["Harper", "Jacob", "Avery", "Henry", "James", "Chloe", "Penelope"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, true, true, false], "solution_text": "Harper is a knave, Jacob is a knight, Avery is a knight, Henry is a knight, James is a knight, Chloe is a knight, and Penelope is a knave.", "solution_text_format": "(1) Harper is a knave\n(2) Jacob is a knight\n(3) Avery is a knight\n(4) Henry is a knight\n(5) James is a knight\n(6) Chloe is a knight\n(7) Penelope is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Harper cannot be a knight, because this would contradict the claim of their own that James is a knight and James is a knave.", "Assume Harper is a knave. No contradiction is found in their false claim that James is a knight and James is a knave.", "Assume James is a knight. No contradiction is found in their claim that Harper is not a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that James is a knight.", "Assume Avery is a knight. No contradiction is found in their claim that Jacob is a knight and James is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that If Harper is a knight then Penelope is a knave.", "Assume Penelope is a knight. No contradiction is found in their claim that Chloe is a knave.", "Chloe cannot be a knight, because this would contradict the claim of Penelope that Chloe is a knave.", "Chloe cannot be a knave, because this would contradict the false claim of their own that Jacob is a knight.", "We have exhausted all possibilities for Chloe, so let us go back and reconsider Penelope.", "Assume Penelope is a knave. No contradiction is found in their false claim that Chloe is a knave.", "Assume Chloe is a knight. No contradiction is found in their claim that Jacob is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 4), ('lying', 4)), ('telling-truth', 4), ('and', ('telling-truth', 1), ('telling-truth', 4)), ('->', ('telling-truth', 0), ('lying', 6)), ('not', ('telling-truth', 0)), ('telling-truth', 1), ('lying', 5))", "index": 794}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Liam, Chloe, Sophia, Zoey, Benjamin, Charlotte, and Abigail. \"Zoey is a knight if and only if Sophia is a knave,\" Liam declared. Chloe stated, \"If Benjamin is a knave then Sophia is a knave\". According to Sophia, \"If Sophia is a knight then Benjamin is a knave\". \"If Charlotte is a knight then Abigail is a knight,\" Zoey declared. Benjamin expressed that Charlotte is a knave if and only if Sophia is a knave. Charlotte commented, \"If Benjamin is a knave then Chloe is a knight\". \"Charlotte is a knight or Sophia is a knave,\" Abigail declared. So who is a knight and who is a knave?", "names": ["Liam", "Chloe", "Sophia", "Zoey", "Benjamin", "Charlotte", "Abigail"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true, false, false, false], "solution_text": "Liam is a knave, Chloe is a knave, Sophia is a knight, Zoey is a knight, Benjamin is a knave, Charlotte is a knave, and Abigail is a knave.", "solution_text_format": "(1) Liam is a knave\n(2) Chloe is a knave\n(3) Sophia is a knight\n(4) Zoey is a knight\n(5) Benjamin is a knave\n(6) Charlotte is a knave\n(7) Abigail is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Liam is a knight. No contradiction is found in their claim that Zoey is a knight if and only if Sophia is a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that If Charlotte is a knight then Abigail is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that If Benjamin is a knave then Chloe is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that Charlotte is a knave if and only if Sophia is a knave.", "Sophia cannot be a knight, because this would contradict the claim of Liam that Zoey is a knight if and only if Sophia is a knave.", "Sophia cannot be a knave, because this would contradict the false claim of their own that If Sophia is a knight then Benjamin is a knave.", "We have exhausted all possibilities for Sophia, so let us go back and reconsider Benjamin.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Charlotte is a knave if and only if Sophia is a knave.", "Sophia cannot be a knight, because this would contradict the claim of Liam that Zoey is a knight if and only if Sophia is a knave.", "Sophia cannot be a knave, because this would contradict the false claim of their own that If Sophia is a knight then Benjamin is a knave.", "We have exhausted all possibilities for Sophia and Benjamin, so let us go back and reconsider Charlotte.", "Assume Charlotte is a knave. No contradiction is found in their false claim that If Benjamin is a knave then Chloe is a knight.", "Benjamin cannot be a knight, because this would contradict the false claim of Charlotte that If Benjamin is a knave then Chloe is a knight.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Charlotte is a knave if and only if Sophia is a knave.", "Sophia cannot be a knight, because this would contradict the claim of Liam that Zoey is a knight if and only if Sophia is a knave.", "Sophia cannot be a knave, because this would contradict the false claim of their own that If Sophia is a knight then Benjamin is a knave.", "We have exhausted all possibilities for Sophia, Benjamin, and Charlotte, so let us go back and reconsider Zoey.", "Assume Zoey is a knave. No contradiction is found in their false claim that If Charlotte is a knight then Abigail is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that If Benjamin is a knave then Chloe is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that Charlotte is a knave if and only if Sophia is a knave.", "Sophia cannot be a knight, because this would contradict the claim of their own that If Sophia is a knight then Benjamin is a knave.", "Sophia cannot be a knave, because this would contradict the claim of Liam that Zoey is a knight if and only if Sophia is a knave.", "We have exhausted all possibilities for Sophia, so let us go back and reconsider Benjamin.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Charlotte is a knave if and only if Sophia is a knave.", "Sophia cannot be a knight, because this would contradict the false claim of Benjamin that Charlotte is a knave if and only if Sophia is a knave.", "Sophia cannot be a knave, because this would contradict the claim of Liam that Zoey is a knight if and only if Sophia is a knave.", "We have exhausted all possibilities for Sophia and Benjamin, so let us go back and reconsider Charlotte.", "Charlotte cannot be a knave, because this would contradict the false claim of Zoey that If Charlotte is a knight then Abigail is a knight.", "We have exhausted all possibilities for Charlotte and Zoey, so let us go back and reconsider Liam.", "Assume Liam is a knave. No contradiction is found in their false claim that Zoey is a knight if and only if Sophia is a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that If Charlotte is a knight then Abigail is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that If Benjamin is a knave then Chloe is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that Charlotte is a knave if and only if Sophia is a knave.", "Sophia cannot be a knight, because this would contradict the claim of their own that If Sophia is a knight then Benjamin is a knave.", "Sophia cannot be a knave, because this would contradict the false claim of Liam that Zoey is a knight if and only if Sophia is a knave.", "We have exhausted all possibilities for Sophia, so let us go back and reconsider Benjamin.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Charlotte is a knave if and only if Sophia is a knave.", "Sophia cannot be a knight, because this would contradict the false claim of Benjamin that Charlotte is a knave if and only if Sophia is a knave.", "Sophia cannot be a knave, because this would contradict the false claim of Liam that Zoey is a knight if and only if Sophia is a knave.", "We have exhausted all possibilities for Sophia and Benjamin, so let us go back and reconsider Charlotte.", "Assume Charlotte is a knave. No contradiction is found in their false claim that If Benjamin is a knave then Chloe is a knight.", "Benjamin cannot be a knight, because this would contradict the false claim of Charlotte that If Benjamin is a knave then Chloe is a knight.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Charlotte is a knave if and only if Sophia is a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that If Sophia is a knight then Benjamin is a knave.", "Chloe cannot be a knight, because this would contradict the claim of their own that If Benjamin is a knave then Sophia is a knave.", "Assume Chloe is a knave. No contradiction is found in their false claim that If Benjamin is a knave then Sophia is a knave.", "Abigail cannot be a knight, because this would contradict the claim of their own that Charlotte is a knight or Sophia is a knave.", "Assume Abigail is a knave. No contradiction is found in their false claim that Charlotte is a knight or Sophia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 3), ('lying', 2)), ('->', ('lying', 4), ('lying', 2)), ('->', ('telling-truth', 2), ('lying', 4)), ('->', ('telling-truth', 5), ('telling-truth', 6)), ('<=>', ('lying', 5), ('lying', 2)), ('->', ('lying', 4), ('telling-truth', 1)), ('or', ('telling-truth', 5), ('lying', 2)))", "index": 795}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Matthew, Liam, Evelyn, Victoria, Olivia, Avery, and Aurora. According to Matthew, \"If Evelyn is a knight then Aurora is a knight\". Liam said that Avery is not a knave. Evelyn said that Victoria is a knave and Matthew is a knight. Victoria stated, \"Victoria is a knight or Aurora is a knight\". Olivia asserted: \"If Avery is a knight then Avery is a knave\". In a statement by Avery: \"Aurora is a knave if and only if Matthew is a knight\". In Aurora's words: \"Aurora is a knight if and only if Olivia is a knave\". So who is a knight and who is a knave?", "names": ["Matthew", "Liam", "Evelyn", "Victoria", "Olivia", "Avery", "Aurora"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true, false, true, false], "solution_text": "Matthew is a knight, Liam is a knight, Evelyn is a knave, Victoria is a knight, Olivia is a knave, Avery is a knight, and Aurora is a knave.", "solution_text_format": "(1) Matthew is a knight\n(2) Liam is a knight\n(3) Evelyn is a knave\n(4) Victoria is a knight\n(5) Olivia is a knave\n(6) Avery is a knight\n(7) Aurora is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Matthew is a knight. No contradiction is found in their claim that If Evelyn is a knight then Aurora is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that Victoria is a knave and Matthew is a knight.", "Victoria cannot be a knight, because this would contradict the claim of Evelyn that Victoria is a knave and Matthew is a knight.", "Assume Victoria is a knave. No contradiction is found in their false claim that Victoria is a knight or Aurora is a knight.", "Aurora cannot be a knight, because this would contradict the false claim of Victoria that Victoria is a knight or Aurora is a knight.", "Aurora cannot be a knave, because this would contradict the claim of Matthew that If Evelyn is a knight then Aurora is a knight.", "We have exhausted all possibilities for Aurora and Victoria, so let us go back and reconsider Evelyn.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Victoria is a knave and Matthew is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that Victoria is a knight or Aurora is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that Aurora is a knight if and only if Olivia is a knave.", "Olivia cannot be a knight, because this would contradict the claim of Aurora that Aurora is a knight if and only if Olivia is a knave.", "Assume Olivia is a knave. No contradiction is found in their false claim that If Avery is a knight then Avery is a knave.", "Avery cannot be a knight, because this would contradict the claim of their own that Aurora is a knave if and only if Matthew is a knight.", "Avery cannot be a knave, because this would contradict the false claim of Olivia that If Avery is a knight then Avery is a knave.", "We have exhausted all possibilities for Avery and Olivia, so let us go back and reconsider Aurora.", "Assume Aurora is a knave. No contradiction is found in their false claim that Aurora is a knight if and only if Olivia is a knave.", "Olivia cannot be a knight, because this would contradict the false claim of Aurora that Aurora is a knight if and only if Olivia is a knave.", "Assume Olivia is a knave. No contradiction is found in their false claim that If Avery is a knight then Avery is a knave.", "Assume Avery is a knight. No contradiction is found in their claim that Aurora is a knave if and only if Matthew is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that Avery is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 2), ('telling-truth', 6)), ('not', ('lying', 5)), ('and', ('lying', 3), ('telling-truth', 0)), ('or', ('telling-truth', 3), ('telling-truth', 6)), ('->', ('telling-truth', 5), ('lying', 5)), ('<=>', ('lying', 6), ('telling-truth', 0)), ('<=>', ('telling-truth', 6), ('lying', 4)))", "index": 796}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Logan, Henry, Aurora, Emma, Amelia, Jacob, and Owen. In a statement by Logan: \"Emma is a knave if and only if Logan is a knight\". \"Aurora is not a knave,\" Henry mentioned. Aurora asserted: \"Emma is a knave\". \"Logan is a knave if and only if Jacob is a knave,\" Emma claimed. Amelia remarked, \"Henry is a knight\". Jacob commented, \"Emma is not a knight\". According to Owen, \"Aurora is a knave and Henry is a knave\". So who is a knight and who is a knave?", "names": ["Logan", "Henry", "Aurora", "Emma", "Amelia", "Jacob", "Owen"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false, true, true, false], "solution_text": "Logan is a knave, Henry is a knight, Aurora is a knight, Emma is a knave, Amelia is a knight, Jacob is a knight, and Owen is a knave.", "solution_text_format": "(1) Logan is a knave\n(2) Henry is a knight\n(3) Aurora is a knight\n(4) Emma is a knave\n(5) Amelia is a knight\n(6) Jacob is a knight\n(7) Owen is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Logan is a knight. No contradiction is found in their claim that Emma is a knave if and only if Logan is a knight.", "Emma cannot be a knight, because this would contradict the claim of Logan that Emma is a knave if and only if Logan is a knight.", "Assume Emma is a knave. No contradiction is found in their false claim that Logan is a knave if and only if Jacob is a knave.", "Jacob cannot be a knight, because this would contradict the false claim of Emma that Logan is a knave if and only if Jacob is a knave.", "Jacob cannot be a knave, because this would contradict the false claim of their own that Emma is not a knight.", "We have exhausted all possibilities for Jacob and Emma, so let us go back and reconsider Logan.", "Assume Logan is a knave. No contradiction is found in their false claim that Emma is a knave if and only if Logan is a knight.", "Emma cannot be a knight, because this would contradict the false claim of Logan that Emma is a knave if and only if Logan is a knight.", "Assume Emma is a knave. No contradiction is found in their false claim that Logan is a knave if and only if Jacob is a knave.", "Assume Jacob is a knight. No contradiction is found in their claim that Emma is not a knight.", "Assume Henry is a knight. No contradiction is found in their claim that Aurora is not a knave.", "Assume Aurora is a knight. No contradiction is found in their claim that Emma is a knave.", "Assume Amelia is a knight. No contradiction is found in their claim that Henry is a knight.", "Owen cannot be a knight, because this would contradict the claim of their own that Aurora is a knave and Henry is a knave.", "Assume Owen is a knave. No contradiction is found in their false claim that Aurora is a knave and Henry is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 3), ('telling-truth', 0)), ('not', ('lying', 2)), ('lying', 3), ('<=>', ('lying', 0), ('lying', 5)), ('telling-truth', 1), ('not', ('telling-truth', 3)), ('and', ('lying', 2), ('lying', 1)))", "index": 797}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Jackson, Daniel, Lucas, Luke, Abigail, Henry, and Jack. Jackson said, \"Abigail is a knight or Jack is a knave.\" \"Jack is a knight if and only if Lucas is a knight\" - Daniel. Lucas asserted: \"If Abigail is a knight then Daniel is a knave\". \"Jack is a knight if and only if Daniel is a knight,\" Luke mentioned. Abigail told you that Luke is not a knight. In Henry's words: \"Lucas is a knave\". Jack commented, \"If Lucas is a knight then Luke is a knight\". So who is a knight and who is a knave?", "names": ["Jackson", "Daniel", "Lucas", "Luke", "Abigail", "Henry", "Jack"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, false, false, true], "solution_text": "Jackson is a knave, Daniel is a knight, Lucas is a knight, Luke is a knight, Abigail is a knave, Henry is a knave, and Jack is a knight.", "solution_text_format": "(1) Jackson is a knave\n(2) Daniel is a knight\n(3) Lucas is a knight\n(4) Luke is a knight\n(5) Abigail is a knave\n(6) Henry is a knave\n(7) Jack is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jackson is a knight. No contradiction is found in their claim that Abigail is a knight or Jack is a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that Luke is not a knight.", "Luke cannot be a knight, because this would contradict the claim of Abigail that Luke is not a knight.", "Assume Luke is a knave. No contradiction is found in their false claim that Jack is a knight if and only if Daniel is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that If Lucas is a knight then Luke is a knight.", "Lucas cannot be a knight, because this would contradict the claim of Jack that If Lucas is a knight then Luke is a knight.", "Assume Lucas is a knave. No contradiction is found in their false claim that If Abigail is a knight then Daniel is a knave.", "Daniel cannot be a knight, because this would contradict the claim of their own that Jack is a knight if and only if Lucas is a knight.", "Daniel cannot be a knave, because this would contradict the false claim of Lucas that If Abigail is a knight then Daniel is a knave.", "We have exhausted all possibilities for Daniel and Lucas, so let us go back and reconsider Jack.", "Assume Jack is a knave. No contradiction is found in their false claim that If Lucas is a knight then Luke is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that If Abigail is a knight then Daniel is a knave.", "Daniel cannot be a knight, because this would contradict the claim of their own that Jack is a knight if and only if Lucas is a knight.", "Daniel cannot be a knave, because this would contradict the false claim of Luke that Jack is a knight if and only if Daniel is a knight.", "We have exhausted all possibilities for Daniel, so let us go back and reconsider Lucas.", "Lucas cannot be a knave, because this would contradict the false claim of Jack that If Lucas is a knight then Luke is a knight.", "We have exhausted all possibilities for Lucas, Jack, and Luke, so let us go back and reconsider Abigail.", "Assume Abigail is a knave. No contradiction is found in their false claim that Luke is not a knight.", "Assume Luke is a knight. No contradiction is found in their claim that Jack is a knight if and only if Daniel is a knight.", "Jack cannot be a knight, because this would contradict the claim of Jackson that Abigail is a knight or Jack is a knave.", "Jack cannot be a knave, because this would contradict the false claim of their own that If Lucas is a knight then Luke is a knight.", "We have exhausted all possibilities for Jack, so let us go back and reconsider Luke.", "Luke cannot be a knave, because this would contradict the false claim of Abigail that Luke is not a knight.", "We have exhausted all possibilities for Luke and Abigail, so let us go back and reconsider Jackson.", "Assume Jackson is a knave. No contradiction is found in their false claim that Abigail is a knight or Jack is a knave.", "Abigail cannot be a knight, because this would contradict the false claim of Jackson that Abigail is a knight or Jack is a knave.", "Assume Abigail is a knave. No contradiction is found in their false claim that Luke is not a knight.", "Assume Luke is a knight. No contradiction is found in their claim that Jack is a knight if and only if Daniel is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that If Lucas is a knight then Luke is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that If Abigail is a knight then Daniel is a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that Jack is a knight if and only if Lucas is a knight.", "Henry cannot be a knight, because this would contradict the claim of their own that Lucas is a knave.", "Assume Henry is a knave. No contradiction is found in their false claim that Lucas is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 4), ('lying', 6)), ('<=>', ('telling-truth', 6), ('telling-truth', 2)), ('->', ('telling-truth', 4), ('lying', 1)), ('<=>', ('telling-truth', 6), ('telling-truth', 1)), ('not', ('telling-truth', 3)), ('lying', 2), ('->', ('telling-truth', 2), ('telling-truth', 3)))", "index": 798}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Scarlett, Sophia, Riley, Sebastian, Jackson, Noah, and Ava. \"Sebastian is a knight and Noah is a knight,\" Scarlett claimed. Sophia noted, \"Riley is a knave and Noah is a knight\". Riley stated, \"Jackson is a knight if and only if Scarlett is a knave\". Sebastian expressed that Noah is a knave and Scarlett is a knight. According to Jackson, \"Sophia is a knave or Sophia is a knight\". \"Riley is a knave,\" Noah claimed. Ava stated, \"Sophia is a knave or Scarlett is a knave\". So who is a knight and who is a knave?", "names": ["Scarlett", "Sophia", "Riley", "Sebastian", "Jackson", "Noah", "Ava"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false, true, false, true], "solution_text": "Scarlett is a knave, Sophia is a knave, Riley is a knight, Sebastian is a knave, Jackson is a knight, Noah is a knave, and Ava is a knight.", "solution_text_format": "(1) Scarlett is a knave\n(2) Sophia is a knave\n(3) Riley is a knight\n(4) Sebastian is a knave\n(5) Jackson is a knight\n(6) Noah is a knave\n(7) Ava is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Scarlett is a knight. No contradiction is found in their claim that Sebastian is a knight and Noah is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Noah is a knave and Scarlett is a knight.", "Noah cannot be a knight, because this would contradict the claim of Sebastian that Noah is a knave and Scarlett is a knight.", "Noah cannot be a knave, because this would contradict the claim of Scarlett that Sebastian is a knight and Noah is a knight.", "We have exhausted all possibilities for Noah, so let us go back and reconsider Sebastian.", "Sebastian cannot be a knave, because this would contradict the claim of Scarlett that Sebastian is a knight and Noah is a knight.", "We have exhausted all possibilities for Sebastian, so let us go back and reconsider Scarlett.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Sebastian is a knight and Noah is a knight.", "Sebastian cannot be a knight, because this would contradict the claim of their own that Noah is a knave and Scarlett is a knight.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Noah is a knave and Scarlett is a knight.", "Assume Noah is a knight. No contradiction is found in their claim that Riley is a knave.", "Riley cannot be a knight, because this would contradict the claim of Noah that Riley is a knave.", "Assume Riley is a knave. No contradiction is found in their false claim that Jackson is a knight if and only if Scarlett is a knave.", "Jackson cannot be a knight, because this would contradict the false claim of Riley that Jackson is a knight if and only if Scarlett is a knave.", "Jackson cannot be a knave, because this would contradict the false claim of their own that Sophia is a knave or Sophia is a knight.", "We have exhausted all possibilities for Jackson and Riley, so let us go back and reconsider Noah.", "Assume Noah is a knave. No contradiction is found in their false claim that Riley is a knave.", "Assume Riley is a knight. No contradiction is found in their claim that Jackson is a knight if and only if Scarlett is a knave.", "Assume Jackson is a knight. No contradiction is found in their claim that Sophia is a knave or Sophia is a knight.", "Sophia cannot be a knight, because this would contradict the claim of their own that Riley is a knave and Noah is a knight.", "Assume Sophia is a knave. No contradiction is found in their false claim that Riley is a knave and Noah is a knight.", "Assume Ava is a knight. No contradiction is found in their claim that Sophia is a knave or Scarlett is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 3), ('telling-truth', 5)), ('and', ('lying', 2), ('telling-truth', 5)), ('<=>', ('telling-truth', 4), ('lying', 0)), ('and', ('lying', 5), ('telling-truth', 0)), ('or', ('lying', 1), ('telling-truth', 1)), ('lying', 2), ('or', ('lying', 1), ('lying', 0)))", "index": 799}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Chloe, Olivia, Victoria, Owen, Henry, Lucas, and Abigail. \"Abigail is a knave and Abigail is a knight,\" Chloe claimed. Olivia commented, \"Abigail is a knight if and only if Chloe is a knight\". Victoria remarked, \"Owen is not a knave\". Owen said that Lucas is a knight and Henry is a knight. \"If Owen is a knight then Henry is a knight,\" Henry declared. Lucas stated, \"Victoria is a knight or Owen is a knave\". \"Owen is a knight or Henry is a knave\" - Abigail. So who is a knight and who is a knave?", "names": ["Chloe", "Olivia", "Victoria", "Owen", "Henry", "Lucas", "Abigail"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true, true, true, true], "solution_text": "Chloe is a knave, Olivia is a knave, Victoria is a knight, Owen is a knight, Henry is a knight, Lucas is a knight, and Abigail is a knight.", "solution_text_format": "(1) Chloe is a knave\n(2) Olivia is a knave\n(3) Victoria is a knight\n(4) Owen is a knight\n(5) Henry is a knight\n(6) Lucas is a knight\n(7) Abigail is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Chloe cannot be a knight, because this would contradict the claim of their own that Abigail is a knave and Abigail is a knight.", "Assume Chloe is a knave. No contradiction is found in their false claim that Abigail is a knave and Abigail is a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that Owen is a knight or Henry is a knave.", "Assume Owen is a knight. No contradiction is found in their claim that Lucas is a knight and Henry is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that Victoria is a knight or Owen is a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that Owen is not a knave.", "Assume Henry is a knight. No contradiction is found in their claim that If Owen is a knight then Henry is a knight.", "Olivia cannot be a knight, because this would contradict the claim of their own that Abigail is a knight if and only if Chloe is a knight.", "Assume Olivia is a knave. No contradiction is found in their false claim that Abigail is a knight if and only if Chloe is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 6), ('telling-truth', 6)), ('<=>', ('telling-truth', 6), ('telling-truth', 0)), ('not', ('lying', 3)), ('and', ('telling-truth', 5), ('telling-truth', 4)), ('->', ('telling-truth', 3), ('telling-truth', 4)), ('or', ('telling-truth', 2), ('lying', 3)), ('or', ('telling-truth', 3), ('lying', 4)))", "index": 800}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Zoey, Daniel, Mason, Amelia, Grace, Victoria, and Benjamin. Zoey expressed that Daniel is a knight. Daniel said, \"Zoey is not a knave.\" Mason expressed that If Amelia is a knight then Amelia is a knave. According to Amelia, \"Benjamin is a knave\". Grace stated, \"If Mason is a knave then Zoey is a knave\". \"If Mason is a knave then Zoey is a knight,\" Victoria declared. In a statement by Benjamin: \"If Victoria is a knight then Daniel is a knight\". So who is a knight and who is a knave?", "names": ["Zoey", "Daniel", "Mason", "Amelia", "Grace", "Victoria", "Benjamin"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false, true, true, true], "solution_text": "Zoey is a knight, Daniel is a knight, Mason is a knight, Amelia is a knave, Grace is a knight, Victoria is a knight, and Benjamin is a knight.", "solution_text_format": "(1) Zoey is a knight\n(2) Daniel is a knight\n(3) Mason is a knight\n(4) Amelia is a knave\n(5) Grace is a knight\n(6) Victoria is a knight\n(7) Benjamin is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Zoey is a knight. No contradiction is found in their claim that Daniel is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that Zoey is not a knave.", "Assume Mason is a knight. No contradiction is found in their claim that If Amelia is a knight then Amelia is a knave.", "Amelia cannot be a knight, because this would contradict the claim of Mason that If Amelia is a knight then Amelia is a knave.", "Assume Amelia is a knave. No contradiction is found in their false claim that Benjamin is a knave.", "Assume Benjamin is a knight. No contradiction is found in their claim that If Victoria is a knight then Daniel is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that If Mason is a knave then Zoey is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that If Mason is a knave then Zoey is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 1), ('not', ('lying', 0)), ('->', ('telling-truth', 3), ('lying', 3)), ('lying', 6), ('->', ('lying', 2), ('lying', 0)), ('->', ('lying', 2), ('telling-truth', 0)), ('->', ('telling-truth', 5), ('telling-truth', 1)))", "index": 801}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Isabella, Alexander, Henry, Jacob, Abigail, Aiden, and Lily. Isabella said, \"If Henry is a knight then Henry is a knave.\" In a statement by Alexander: \"Aiden is a knave or Henry is a knave\". As Henry put it, \"Abigail is a knight and Isabella is a knave\". Jacob asserted: \"If Aiden is a knave then Aiden is a knight\". Abigail remarked, \"Isabella is a knave and Henry is a knave\". According to Aiden, \"If Henry is a knave then Alexander is a knave\". \"Henry is a knave or Henry is a knight,\" Lily declared. So who is a knight and who is a knave?", "names": ["Isabella", "Alexander", "Henry", "Jacob", "Abigail", "Aiden", "Lily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false, false, false, true], "solution_text": "Isabella is a knight, Alexander is a knight, Henry is a knave, Jacob is a knave, Abigail is a knave, Aiden is a knave, and Lily is a knight.", "solution_text_format": "(1) Isabella is a knight\n(2) Alexander is a knight\n(3) Henry is a knave\n(4) Jacob is a knave\n(5) Abigail is a knave\n(6) Aiden is a knave\n(7) Lily is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Isabella is a knight. No contradiction is found in their claim that If Henry is a knight then Henry is a knave.", "Henry cannot be a knight, because this would contradict the claim of Isabella that If Henry is a knight then Henry is a knave.", "Assume Henry is a knave. No contradiction is found in their false claim that Abigail is a knight and Isabella is a knave.", "Abigail cannot be a knight, because this would contradict the claim of their own that Isabella is a knave and Henry is a knave.", "Assume Abigail is a knave. No contradiction is found in their false claim that Isabella is a knave and Henry is a knave.", "Assume Alexander is a knight. No contradiction is found in their claim that Aiden is a knave or Henry is a knave.", "Aiden cannot be a knight, because this would contradict the claim of their own that If Henry is a knave then Alexander is a knave.", "Assume Aiden is a knave. No contradiction is found in their false claim that If Henry is a knave then Alexander is a knave.", "Jacob cannot be a knight, because this would contradict the claim of their own that If Aiden is a knave then Aiden is a knight.", "Assume Jacob is a knave. No contradiction is found in their false claim that If Aiden is a knave then Aiden is a knight.", "Assume Lily is a knight. No contradiction is found in their claim that Henry is a knave or Henry is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 2), ('lying', 2)), ('or', ('lying', 5), ('lying', 2)), ('and', ('telling-truth', 4), ('lying', 0)), ('->', ('lying', 5), ('telling-truth', 5)), ('and', ('lying', 0), ('lying', 2)), ('->', ('lying', 2), ('lying', 1)), ('or', ('lying', 2), ('telling-truth', 2)))", "index": 802}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Matthew, Mason, James, Aiden, Luke, Amelia, and Owen. \"James is not a knight\" - Matthew. According to Mason, \"Aiden is a knight and James is a knight\". \"Matthew is a knave or Owen is a knight,\" James mentioned. Aiden said, \"If James is a knave then Matthew is a knight.\" \"Amelia is a knave or Matthew is a knave\" - Luke. Amelia asserted: \"If James is a knave then James is a knight\". According to Owen, \"If Amelia is a knight then Aiden is a knave\". So who is a knight and who is a knave?", "names": ["Matthew", "Mason", "James", "Aiden", "Luke", "Amelia", "Owen"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, true, true, false], "solution_text": "Matthew is a knave, Mason is a knight, James is a knight, Aiden is a knight, Luke is a knight, Amelia is a knight, and Owen is a knave.", "solution_text_format": "(1) Matthew is a knave\n(2) Mason is a knight\n(3) James is a knight\n(4) Aiden is a knight\n(5) Luke is a knight\n(6) Amelia is a knight\n(7) Owen is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Matthew is a knight. No contradiction is found in their claim that James is not a knight.", "James cannot be a knight, because this would contradict the claim of Matthew that James is not a knight.", "Assume James is a knave. No contradiction is found in their false claim that Matthew is a knave or Owen is a knight.", "Owen cannot be a knight, because this would contradict the false claim of James that Matthew is a knave or Owen is a knight.", "Assume Owen is a knave. No contradiction is found in their false claim that If Amelia is a knight then Aiden is a knave.", "Amelia cannot be a knight, because this would contradict the claim of their own that If James is a knave then James is a knight.", "Amelia cannot be a knave, because this would contradict the false claim of Owen that If Amelia is a knight then Aiden is a knave.", "We have exhausted all possibilities for Amelia, Owen, and James, so let us go back and reconsider Matthew.", "Assume Matthew is a knave. No contradiction is found in their false claim that James is not a knight.", "Assume James is a knight. No contradiction is found in their claim that Matthew is a knave or Owen is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that If Amelia is a knight then Aiden is a knave.", "Assume Amelia is a knight. No contradiction is found in their claim that If James is a knave then James is a knight.", "Aiden cannot be a knight, because this would contradict the claim of Owen that If Amelia is a knight then Aiden is a knave.", "Aiden cannot be a knave, because this would contradict the false claim of their own that If James is a knave then Matthew is a knight.", "We have exhausted all possibilities for Aiden, so let us go back and reconsider Amelia.", "Amelia cannot be a knave, because this would contradict the false claim of their own that If James is a knave then James is a knight.", "We have exhausted all possibilities for Amelia, so let us go back and reconsider Owen.", "Assume Owen is a knave. No contradiction is found in their false claim that If Amelia is a knight then Aiden is a knave.", "Assume Amelia is a knight. No contradiction is found in their claim that If James is a knave then James is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that If James is a knave then Matthew is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that Aiden is a knight and James is a knight.", "Assume Luke is a knight. No contradiction is found in their claim that Amelia is a knave or Matthew is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 2)), ('and', ('telling-truth', 3), ('telling-truth', 2)), ('or', ('lying', 0), ('telling-truth', 6)), ('->', ('lying', 2), ('telling-truth', 0)), ('or', ('lying', 5), ('lying', 0)), ('->', ('lying', 2), ('telling-truth', 2)), ('->', ('telling-truth', 5), ('lying', 3)))", "index": 803}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Amelia, David, Ella, Sophia, Aiden, James, and Aria. Amelia was heard saying, \"Amelia is a knight if and only if James is a knave\". David expressed that If Sophia is a knight then Amelia is a knight. According to Ella, \"Amelia is a knight if and only if David is a knight\". According to Sophia, \"Amelia is a knave if and only if Aria is a knight\". Aiden said, \"Amelia is a knight or Amelia is a knave.\" James asserted: \"Ella is a knave or Amelia is a knave\". Aria said that If Amelia is a knight then Ella is a knave. So who is a knight and who is a knave?", "names": ["Amelia", "David", "Ella", "Sophia", "Aiden", "James", "Aria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, true, false, false], "solution_text": "Amelia is a knight, David is a knight, Ella is a knight, Sophia is a knight, Aiden is a knight, James is a knave, and Aria is a knave.", "solution_text_format": "(1) Amelia is a knight\n(2) David is a knight\n(3) Ella is a knight\n(4) Sophia is a knight\n(5) Aiden is a knight\n(6) James is a knave\n(7) Aria is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Amelia is a knight. No contradiction is found in their claim that Amelia is a knight if and only if James is a knave.", "James cannot be a knight, because this would contradict the claim of Amelia that Amelia is a knight if and only if James is a knave.", "Assume James is a knave. No contradiction is found in their false claim that Ella is a knave or Amelia is a knave.", "Assume Ella is a knight. No contradiction is found in their claim that Amelia is a knight if and only if David is a knight.", "Assume David is a knight. No contradiction is found in their claim that If Sophia is a knight then Amelia is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that Amelia is a knave if and only if Aria is a knight.", "Aria cannot be a knight, because this would contradict the claim of Sophia that Amelia is a knave if and only if Aria is a knight.", "Assume Aria is a knave. No contradiction is found in their false claim that If Amelia is a knight then Ella is a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that Amelia is a knight or Amelia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 0), ('lying', 5)), ('->', ('telling-truth', 3), ('telling-truth', 0)), ('<=>', ('telling-truth', 0), ('telling-truth', 1)), ('<=>', ('lying', 0), ('telling-truth', 6)), ('or', ('telling-truth', 0), ('lying', 0)), ('or', ('lying', 2), ('lying', 0)), ('->', ('telling-truth', 0), ('lying', 2)))", "index": 804}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Emily, Abigail, William, Samuel, Avery, Joseph, and Matthew. Emily said that Abigail is a knave or Joseph is a knight. Abigail said that Emily is a knight and Abigail is a knight. \"Samuel is a knave,\" William declared. \"If Emily is a knave then Joseph is a knight,\" Samuel mentioned. Avery asserted: \"Emily is a knight if and only if William is a knight\". Joseph commented, \"If Emily is a knight then Emily is a knave\". \"Abigail is a knave and Avery is a knight,\" Matthew declared. So who is a knight and who is a knave?", "names": ["Emily", "Abigail", "William", "Samuel", "Avery", "Joseph", "Matthew"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, false, false, false], "solution_text": "Emily is a knight, Abigail is a knave, William is a knave, Samuel is a knight, Avery is a knave, Joseph is a knave, and Matthew is a knave.", "solution_text_format": "(1) Emily is a knight\n(2) Abigail is a knave\n(3) William is a knave\n(4) Samuel is a knight\n(5) Avery is a knave\n(6) Joseph is a knave\n(7) Matthew is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Emily is a knight. No contradiction is found in their claim that Abigail is a knave or Joseph is a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that Emily is a knight and Abigail is a knight.", "Joseph cannot be a knight, because this would contradict the claim of their own that If Emily is a knight then Emily is a knave.", "Joseph cannot be a knave, because this would contradict the claim of Emily that Abigail is a knave or Joseph is a knight.", "We have exhausted all possibilities for Joseph, so let us go back and reconsider Abigail.", "Assume Abigail is a knave. No contradiction is found in their false claim that Emily is a knight and Abigail is a knight.", "Joseph cannot be a knight, because this would contradict the claim of their own that If Emily is a knight then Emily is a knave.", "Assume Joseph is a knave. No contradiction is found in their false claim that If Emily is a knight then Emily is a knave.", "Assume William is a knight. No contradiction is found in their claim that Samuel is a knave.", "Samuel cannot be a knight, because this would contradict the claim of William that Samuel is a knave.", "Samuel cannot be a knave, because this would contradict the false claim of their own that If Emily is a knave then Joseph is a knight.", "We have exhausted all possibilities for Samuel, so let us go back and reconsider William.", "Assume William is a knave. No contradiction is found in their false claim that Samuel is a knave.", "Assume Samuel is a knight. No contradiction is found in their claim that If Emily is a knave then Joseph is a knight.", "Avery cannot be a knight, because this would contradict the claim of their own that Emily is a knight if and only if William is a knight.", "Assume Avery is a knave. No contradiction is found in their false claim that Emily is a knight if and only if William is a knight.", "Matthew cannot be a knight, because this would contradict the claim of their own that Abigail is a knave and Avery is a knight.", "Assume Matthew is a knave. No contradiction is found in their false claim that Abigail is a knave and Avery is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('telling-truth', 5)), ('and', ('telling-truth', 0), ('telling-truth', 1)), ('lying', 3), ('->', ('lying', 0), ('telling-truth', 5)), ('<=>', ('telling-truth', 0), ('telling-truth', 2)), ('->', ('telling-truth', 0), ('lying', 0)), ('and', ('lying', 1), ('telling-truth', 4)))", "index": 805}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Lily, Olivia, Ethan, David, Zoey, Avery, and Sebastian. As Lily put it, \"If David is a knave then Sebastian is a knight\". \"Sebastian is a knight,\" Olivia claimed. Ethan noted, \"David is a knave and Sebastian is a knight\". David asserted: \"If Olivia is a knave then Lily is a knave\". Zoey was heard saying, \"Olivia is a knave if and only if Avery is a knave\". Avery commented, \"Olivia is not a knight\". \"Avery is a knave or David is a knave,\" Sebastian claimed. So who is a knight and who is a knave?", "names": ["Lily", "Olivia", "Ethan", "David", "Zoey", "Avery", "Sebastian"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true, false, false, true], "solution_text": "Lily is a knight, Olivia is a knight, Ethan is a knave, David is a knight, Zoey is a knave, Avery is a knave, and Sebastian is a knight.", "solution_text_format": "(1) Lily is a knight\n(2) Olivia is a knight\n(3) Ethan is a knave\n(4) David is a knight\n(5) Zoey is a knave\n(6) Avery is a knave\n(7) Sebastian is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Lily is a knight. No contradiction is found in their claim that If David is a knave then Sebastian is a knight.", "Assume David is a knight. No contradiction is found in their claim that If Olivia is a knave then Lily is a knave.", "Assume Olivia is a knight. No contradiction is found in their claim that Sebastian is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Avery is a knave or David is a knave.", "Avery cannot be a knight, because this would contradict the claim of their own that Olivia is not a knight.", "Assume Avery is a knave. No contradiction is found in their false claim that Olivia is not a knight.", "Ethan cannot be a knight, because this would contradict the claim of their own that David is a knave and Sebastian is a knight.", "Assume Ethan is a knave. No contradiction is found in their false claim that David is a knave and Sebastian is a knight.", "Zoey cannot be a knight, because this would contradict the claim of their own that Olivia is a knave if and only if Avery is a knave.", "Assume Zoey is a knave. No contradiction is found in their false claim that Olivia is a knave if and only if Avery is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 3), ('telling-truth', 6)), ('telling-truth', 6), ('and', ('lying', 3), ('telling-truth', 6)), ('->', ('lying', 1), ('lying', 0)), ('<=>', ('lying', 1), ('lying', 5)), ('not', ('telling-truth', 1)), ('or', ('lying', 5), ('lying', 3)))", "index": 806}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Sofia, Daniel, Owen, Ethan, Riley, Chloe, and Sophia. Sofia remarked, \"Daniel is a knave\". Daniel stated, \"Chloe is a knave and Sophia is a knave\". Owen asserted: \"Sofia is not a knave\". \"Chloe is a knight and Ethan is a knight,\" Ethan declared. Riley expressed that If Sophia is a knight then Owen is a knight. In a statement by Chloe: \"Owen is a knave if and only if Owen is a knight\". Sophia told you that Chloe is not a knave. So who is a knight and who is a knave?", "names": ["Sofia", "Daniel", "Owen", "Ethan", "Riley", "Chloe", "Sophia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false, true, false, false], "solution_text": "Sofia is a knave, Daniel is a knight, Owen is a knave, Ethan is a knave, Riley is a knight, Chloe is a knave, and Sophia is a knave.", "solution_text_format": "(1) Sofia is a knave\n(2) Daniel is a knight\n(3) Owen is a knave\n(4) Ethan is a knave\n(5) Riley is a knight\n(6) Chloe is a knave\n(7) Sophia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sofia is a knight. No contradiction is found in their claim that Daniel is a knave.", "Daniel cannot be a knight, because this would contradict the claim of Sofia that Daniel is a knave.", "Assume Daniel is a knave. No contradiction is found in their false claim that Chloe is a knave and Sophia is a knave.", "Chloe cannot be a knight, because this would contradict the claim of their own that Owen is a knave if and only if Owen is a knight.", "Assume Chloe is a knave. No contradiction is found in their false claim that Owen is a knave if and only if Owen is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that Sofia is not a knave.", "Sophia cannot be a knight, because this would contradict the claim of their own that Chloe is not a knave.", "Sophia cannot be a knave, because this would contradict the false claim of Daniel that Chloe is a knave and Sophia is a knave.", "We have exhausted all possibilities for Sophia, so let us go back and reconsider Owen.", "Owen cannot be a knave, because this would contradict the false claim of their own that Sofia is not a knave.", "We have exhausted all possibilities for Owen, Chloe, and Daniel, so let us go back and reconsider Sofia.", "Assume Sofia is a knave. No contradiction is found in their false claim that Daniel is a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that Chloe is a knave and Sophia is a knave.", "Chloe cannot be a knight, because this would contradict the claim of Daniel that Chloe is a knave and Sophia is a knave.", "Assume Chloe is a knave. No contradiction is found in their false claim that Owen is a knave if and only if Owen is a knight.", "Owen cannot be a knight, because this would contradict the claim of their own that Sofia is not a knave.", "Assume Owen is a knave. No contradiction is found in their false claim that Sofia is not a knave.", "Sophia cannot be a knight, because this would contradict the claim of Daniel that Chloe is a knave and Sophia is a knave.", "Assume Sophia is a knave. No contradiction is found in their false claim that Chloe is not a knave.", "Ethan cannot be a knight, because this would contradict the claim of their own that Chloe is a knight and Ethan is a knight.", "Assume Ethan is a knave. No contradiction is found in their false claim that Chloe is a knight and Ethan is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that If Sophia is a knight then Owen is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('and', ('lying', 5), ('lying', 6)), ('not', ('lying', 0)), ('and', ('telling-truth', 5), ('telling-truth', 3)), ('->', ('telling-truth', 6), ('telling-truth', 2)), ('<=>', ('lying', 2), ('telling-truth', 2)), ('not', ('lying', 5)))", "index": 807}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Amelia, Harper, Jack, Jacob, Samuel, Elizabeth, and Sebastian. \"Jack is a knave or Elizabeth is a knight,\" Amelia declared. \"Elizabeth is a knight or Jack is a knave,\" Harper claimed. Jack told you that If Sebastian is a knight then Elizabeth is a knight. \"Elizabeth is not a knave\" - Jacob. Samuel was heard saying, \"Amelia is a knight and Jack is a knave\". Elizabeth expressed that Amelia is a knave if and only if Amelia is a knight. Sebastian asserted: \"Jacob is a knight and Samuel is a knight\". So who is a knight and who is a knave?", "names": ["Amelia", "Harper", "Jack", "Jacob", "Samuel", "Elizabeth", "Sebastian"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false, false, false, false], "solution_text": "Amelia is a knave, Harper is a knave, Jack is a knight, Jacob is a knave, Samuel is a knave, Elizabeth is a knave, and Sebastian is a knave.", "solution_text_format": "(1) Amelia is a knave\n(2) Harper is a knave\n(3) Jack is a knight\n(4) Jacob is a knave\n(5) Samuel is a knave\n(6) Elizabeth is a knave\n(7) Sebastian is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Amelia is a knight. No contradiction is found in their claim that Jack is a knave or Elizabeth is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that If Sebastian is a knight then Elizabeth is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Jacob is a knight and Samuel is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that Elizabeth is not a knave.", "Elizabeth cannot be a knight, because this would contradict the claim of their own that Amelia is a knave if and only if Amelia is a knight.", "Elizabeth cannot be a knave, because this would contradict the claim of Amelia that Jack is a knave or Elizabeth is a knight.", "We have exhausted all possibilities for Elizabeth, so let us go back and reconsider Jacob.", "Jacob cannot be a knave, because this would contradict the claim of Sebastian that Jacob is a knight and Samuel is a knight.", "We have exhausted all possibilities for Jacob, so let us go back and reconsider Sebastian.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Jacob is a knight and Samuel is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that Elizabeth is not a knave.", "Elizabeth cannot be a knight, because this would contradict the claim of their own that Amelia is a knave if and only if Amelia is a knight.", "Elizabeth cannot be a knave, because this would contradict the claim of Amelia that Jack is a knave or Elizabeth is a knight.", "We have exhausted all possibilities for Elizabeth, so let us go back and reconsider Jacob.", "Assume Jacob is a knave. No contradiction is found in their false claim that Elizabeth is not a knave.", "Elizabeth cannot be a knight, because this would contradict the false claim of Jacob that Elizabeth is not a knave.", "Elizabeth cannot be a knave, because this would contradict the claim of Amelia that Jack is a knave or Elizabeth is a knight.", "We have exhausted all possibilities for Elizabeth, Jacob, and Sebastian, so let us go back and reconsider Jack.", "Assume Jack is a knave. No contradiction is found in their false claim that If Sebastian is a knight then Elizabeth is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Jacob is a knight and Samuel is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that Elizabeth is not a knave.", "Elizabeth cannot be a knight, because this would contradict the false claim of Jack that If Sebastian is a knight then Elizabeth is a knight.", "Elizabeth cannot be a knave, because this would contradict the claim of Jacob that Elizabeth is not a knave.", "We have exhausted all possibilities for Elizabeth, so let us go back and reconsider Jacob.", "Jacob cannot be a knave, because this would contradict the claim of Sebastian that Jacob is a knight and Samuel is a knight.", "We have exhausted all possibilities for Jacob, so let us go back and reconsider Sebastian.", "Sebastian cannot be a knave, because this would contradict the false claim of Jack that If Sebastian is a knight then Elizabeth is a knight.", "We have exhausted all possibilities for Sebastian and Jack, so let us go back and reconsider Amelia.", "Assume Amelia is a knave. No contradiction is found in their false claim that Jack is a knave or Elizabeth is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that If Sebastian is a knight then Elizabeth is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Jacob is a knight and Samuel is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that Elizabeth is not a knave.", "Elizabeth cannot be a knight, because this would contradict the false claim of Amelia that Jack is a knave or Elizabeth is a knight.", "Elizabeth cannot be a knave, because this would contradict the claim of Jack that If Sebastian is a knight then Elizabeth is a knight.", "We have exhausted all possibilities for Elizabeth, so let us go back and reconsider Jacob.", "Jacob cannot be a knave, because this would contradict the claim of Sebastian that Jacob is a knight and Samuel is a knight.", "We have exhausted all possibilities for Jacob, so let us go back and reconsider Sebastian.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Jacob is a knight and Samuel is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that Elizabeth is not a knave.", "Elizabeth cannot be a knight, because this would contradict the false claim of Amelia that Jack is a knave or Elizabeth is a knight.", "Elizabeth cannot be a knave, because this would contradict the claim of Jacob that Elizabeth is not a knave.", "We have exhausted all possibilities for Elizabeth, so let us go back and reconsider Jacob.", "Assume Jacob is a knave. No contradiction is found in their false claim that Elizabeth is not a knave.", "Elizabeth cannot be a knight, because this would contradict the false claim of Amelia that Jack is a knave or Elizabeth is a knight.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Amelia is a knave if and only if Amelia is a knight.", "Samuel cannot be a knight, because this would contradict the claim of their own that Amelia is a knight and Jack is a knave.", "Assume Samuel is a knave. No contradiction is found in their false claim that Amelia is a knight and Jack is a knave.", "Harper cannot be a knight, because this would contradict the claim of their own that Elizabeth is a knight or Jack is a knave.", "Assume Harper is a knave. No contradiction is found in their false claim that Elizabeth is a knight or Jack is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 2), ('telling-truth', 5)), ('or', ('telling-truth', 5), ('lying', 2)), ('->', ('telling-truth', 6), ('telling-truth', 5)), ('not', ('lying', 5)), ('and', ('telling-truth', 0), ('lying', 2)), ('<=>', ('lying', 0), ('telling-truth', 0)), ('and', ('telling-truth', 3), ('telling-truth', 4)))", "index": 808}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Evelyn, Alexander, Michael, Luke, Victoria, Lucas, and Jacob. \"Lucas is a knave and Lucas is a knight,\" Evelyn claimed. \"Jacob is a knight or Victoria is a knight,\" Alexander declared. Michael commented, \"Evelyn is a knave if and only if Victoria is a knave\". \"Lucas is not a knight\" - Luke. Victoria said that If Michael is a knight then Lucas is a knave. Lucas said, \"Alexander is not a knight.\" According to Jacob, \"Alexander is a knave if and only if Lucas is a knight\". So who is a knight and who is a knave?", "names": ["Evelyn", "Alexander", "Michael", "Luke", "Victoria", "Lucas", "Jacob"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true, true, false, true], "solution_text": "Evelyn is a knave, Alexander is a knight, Michael is a knave, Luke is a knight, Victoria is a knight, Lucas is a knave, and Jacob is a knight.", "solution_text_format": "(1) Evelyn is a knave\n(2) Alexander is a knight\n(3) Michael is a knave\n(4) Luke is a knight\n(5) Victoria is a knight\n(6) Lucas is a knave\n(7) Jacob is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Evelyn cannot be a knight, because this would contradict the claim of their own that Lucas is a knave and Lucas is a knight.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Lucas is a knave and Lucas is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that Alexander is not a knight.", "Alexander cannot be a knight, because this would contradict the claim of Lucas that Alexander is not a knight.", "Assume Alexander is a knave. No contradiction is found in their false claim that Jacob is a knight or Victoria is a knight.", "Jacob cannot be a knight, because this would contradict the false claim of Alexander that Jacob is a knight or Victoria is a knight.", "Jacob cannot be a knave, because this would contradict the false claim of their own that Alexander is a knave if and only if Lucas is a knight.", "We have exhausted all possibilities for Jacob and Alexander, so let us go back and reconsider Lucas.", "Assume Lucas is a knave. No contradiction is found in their false claim that Alexander is not a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that Jacob is a knight or Victoria is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that Alexander is a knave if and only if Lucas is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that If Michael is a knight then Lucas is a knave.", "Michael cannot be a knight, because this would contradict the claim of their own that Evelyn is a knave if and only if Victoria is a knave.", "Assume Michael is a knave. No contradiction is found in their false claim that Evelyn is a knave if and only if Victoria is a knave.", "Assume Luke is a knight. No contradiction is found in their claim that Lucas is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 5), ('telling-truth', 5)), ('or', ('telling-truth', 6), ('telling-truth', 4)), ('<=>', ('lying', 0), ('lying', 4)), ('not', ('telling-truth', 5)), ('->', ('telling-truth', 2), ('lying', 5)), ('not', ('telling-truth', 1)), ('<=>', ('lying', 1), ('telling-truth', 5)))", "index": 809}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Abigail, Alexander, Ella, Luke, Isabella, Lily, and Aria. As Abigail put it, \"Lily is a knight\". Alexander expressed that Isabella is a knight. Ella told you that Luke is a knight. \"Luke is a knight and Lily is a knave\" - Luke. Isabella commented, \"Luke is a knave and Ella is a knave\". In a statement by Lily: \"Isabella is a knight if and only if Alexander is a knight\". Aria asserted: \"Isabella is a knight\". So who is a knight and who is a knave?", "names": ["Abigail", "Alexander", "Ella", "Luke", "Isabella", "Lily", "Aria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false, true, true, true], "solution_text": "Abigail is a knight, Alexander is a knight, Ella is a knave, Luke is a knave, Isabella is a knight, Lily is a knight, and Aria is a knight.", "solution_text_format": "(1) Abigail is a knight\n(2) Alexander is a knight\n(3) Ella is a knave\n(4) Luke is a knave\n(5) Isabella is a knight\n(6) Lily is a knight\n(7) Aria is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Abigail is a knight. No contradiction is found in their claim that Lily is a knight.", "Assume Lily is a knight. No contradiction is found in their claim that Isabella is a knight if and only if Alexander is a knight.", "Assume Isabella is a knight. No contradiction is found in their claim that Luke is a knave and Ella is a knave.", "Luke cannot be a knight, because this would contradict the claim of their own that Luke is a knight and Lily is a knave.", "Assume Luke is a knave. No contradiction is found in their false claim that Luke is a knight and Lily is a knave.", "Ella cannot be a knight, because this would contradict the claim of their own that Luke is a knight.", "Assume Ella is a knave. No contradiction is found in their false claim that Luke is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that Isabella is a knight.", "Assume Aria is a knight. No contradiction is found in their claim that Isabella is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 5), ('telling-truth', 4), ('telling-truth', 3), ('and', ('telling-truth', 3), ('lying', 5)), ('and', ('lying', 3), ('lying', 2)), ('<=>', ('telling-truth', 4), ('telling-truth', 1)), ('telling-truth', 4))", "index": 810}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Avery, Aria, Jackson, Liam, Owen, Daniel, and Sebastian. In Avery's words: \"Sebastian is a knave\". \"Owen is a knave and Daniel is a knight,\" Aria claimed. In a statement by Jackson: \"If Sebastian is a knave then Avery is a knave\". As Liam put it, \"Daniel is a knave\". Owen was heard saying, \"Jackson is a knave or Liam is a knave\". As Daniel put it, \"Aria is not a knave\". As Sebastian put it, \"Liam is a knave\". So who is a knight and who is a knave?", "names": ["Avery", "Aria", "Jackson", "Liam", "Owen", "Daniel", "Sebastian"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, true, false, false], "solution_text": "Avery is a knight, Aria is a knave, Jackson is a knave, Liam is a knight, Owen is a knight, Daniel is a knave, and Sebastian is a knave.", "solution_text_format": "(1) Avery is a knight\n(2) Aria is a knave\n(3) Jackson is a knave\n(4) Liam is a knight\n(5) Owen is a knight\n(6) Daniel is a knave\n(7) Sebastian is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Avery is a knight. No contradiction is found in their claim that Sebastian is a knave.", "Sebastian cannot be a knight, because this would contradict the claim of Avery that Sebastian is a knave.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Liam is a knave.", "Assume Liam is a knight. No contradiction is found in their claim that Daniel is a knave.", "Daniel cannot be a knight, because this would contradict the claim of Liam that Daniel is a knave.", "Assume Daniel is a knave. No contradiction is found in their false claim that Aria is not a knave.", "Aria cannot be a knight, because this would contradict the claim of their own that Owen is a knave and Daniel is a knight.", "Assume Aria is a knave. No contradiction is found in their false claim that Owen is a knave and Daniel is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that Jackson is a knave or Liam is a knave.", "Jackson cannot be a knight, because this would contradict the claim of their own that If Sebastian is a knave then Avery is a knave.", "Assume Jackson is a knave. No contradiction is found in their false claim that If Sebastian is a knave then Avery is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 6), ('and', ('lying', 4), ('telling-truth', 5)), ('->', ('lying', 6), ('lying', 0)), ('lying', 5), ('or', ('lying', 2), ('lying', 3)), ('not', ('lying', 1)), ('lying', 3))", "index": 811}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Jacob, Liam, James, Lucas, Charlotte, Alexander, and Henry. Jacob stated, \"Alexander is a knave and Lucas is a knave\". \"Henry is a knave or James is a knave,\" Liam declared. James said, \"Charlotte is not a knight.\" Lucas said, \"Liam is a knight and Henry is a knave.\" Charlotte was heard saying, \"Lucas is not a knave\". Alexander stated, \"James is not a knave\". According to Henry, \"If Liam is a knight then Lucas is a knight\". So who is a knight and who is a knave?", "names": ["Jacob", "Liam", "James", "Lucas", "Charlotte", "Alexander", "Henry"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false, false, true, true], "solution_text": "Jacob is a knave, Liam is a knave, James is a knight, Lucas is a knave, Charlotte is a knave, Alexander is a knight, and Henry is a knight.", "solution_text_format": "(1) Jacob is a knave\n(2) Liam is a knave\n(3) James is a knight\n(4) Lucas is a knave\n(5) Charlotte is a knave\n(6) Alexander is a knight\n(7) Henry is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jacob is a knight. No contradiction is found in their claim that Alexander is a knave and Lucas is a knave.", "Alexander cannot be a knight, because this would contradict the claim of Jacob that Alexander is a knave and Lucas is a knave.", "Assume Alexander is a knave. No contradiction is found in their false claim that James is not a knave.", "James cannot be a knight, because this would contradict the false claim of Alexander that James is not a knave.", "Assume James is a knave. No contradiction is found in their false claim that Charlotte is not a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that Lucas is not a knave.", "Lucas cannot be a knight, because this would contradict the claim of Jacob that Alexander is a knave and Lucas is a knave.", "Lucas cannot be a knave, because this would contradict the claim of Charlotte that Lucas is not a knave.", "We have exhausted all possibilities for Lucas, so let us go back and reconsider Charlotte.", "Charlotte cannot be a knave, because this would contradict the false claim of James that Charlotte is not a knight.", "We have exhausted all possibilities for Charlotte, James, and Alexander, so let us go back and reconsider Jacob.", "Assume Jacob is a knave. No contradiction is found in their false claim that Alexander is a knave and Lucas is a knave.", "Assume Alexander is a knight. No contradiction is found in their claim that James is not a knave.", "Assume James is a knight. No contradiction is found in their claim that Charlotte is not a knight.", "Charlotte cannot be a knight, because this would contradict the claim of James that Charlotte is not a knight.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Lucas is not a knave.", "Lucas cannot be a knight, because this would contradict the false claim of Charlotte that Lucas is not a knave.", "Assume Lucas is a knave. No contradiction is found in their false claim that Liam is a knight and Henry is a knave.", "Assume Liam is a knight. No contradiction is found in their claim that Henry is a knave or James is a knave.", "Henry cannot be a knight, because this would contradict the claim of Liam that Henry is a knave or James is a knave.", "Henry cannot be a knave, because this would contradict the false claim of Lucas that Liam is a knight and Henry is a knave.", "We have exhausted all possibilities for Henry, so let us go back and reconsider Liam.", "Assume Liam is a knave. No contradiction is found in their false claim that Henry is a knave or James is a knave.", "Assume Henry is a knight. No contradiction is found in their claim that If Liam is a knight then Lucas is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 5), ('lying', 3)), ('or', ('lying', 6), ('lying', 2)), ('not', ('telling-truth', 4)), ('and', ('telling-truth', 1), ('lying', 6)), ('not', ('lying', 3)), ('not', ('lying', 2)), ('->', ('telling-truth', 1), ('telling-truth', 3)))", "index": 812}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Owen, Joseph, Ella, Jacob, James, Amelia, and Emily. Owen noted, \"If James is a knight then Emily is a knave\". Joseph told you that Emily is a knight if and only if James is a knight. \"James is a knight\" - Ella. According to Jacob, \"Amelia is a knight\". James expressed that Jacob is a knave. \"Joseph is not a knight,\" Amelia claimed. Emily remarked, \"Ella is a knave\". So who is a knight and who is a knave?", "names": ["Owen", "Joseph", "Ella", "Jacob", "James", "Amelia", "Emily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, false, true, true], "solution_text": "Owen is a knight, Joseph is a knave, Ella is a knave, Jacob is a knight, James is a knave, Amelia is a knight, and Emily is a knight.", "solution_text_format": "(1) Owen is a knight\n(2) Joseph is a knave\n(3) Ella is a knave\n(4) Jacob is a knight\n(5) James is a knave\n(6) Amelia is a knight\n(7) Emily is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Owen is a knight. No contradiction is found in their claim that If James is a knight then Emily is a knave.", "Assume James is a knight. No contradiction is found in their claim that Jacob is a knave.", "Jacob cannot be a knight, because this would contradict the claim of James that Jacob is a knave.", "Assume Jacob is a knave. No contradiction is found in their false claim that Amelia is a knight.", "Amelia cannot be a knight, because this would contradict the false claim of Jacob that Amelia is a knight.", "Assume Amelia is a knave. No contradiction is found in their false claim that Joseph is not a knight.", "Assume Joseph is a knight. No contradiction is found in their claim that Emily is a knight if and only if James is a knight.", "Emily cannot be a knight, because this would contradict the claim of Owen that If James is a knight then Emily is a knave.", "Emily cannot be a knave, because this would contradict the claim of Joseph that Emily is a knight if and only if James is a knight.", "We have exhausted all possibilities for Emily, so let us go back and reconsider Joseph.", "Joseph cannot be a knave, because this would contradict the false claim of Amelia that Joseph is not a knight.", "We have exhausted all possibilities for Joseph, Amelia, and Jacob, so let us go back and reconsider James.", "Assume James is a knave. No contradiction is found in their false claim that Jacob is a knave.", "Assume Jacob is a knight. No contradiction is found in their claim that Amelia is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that Joseph is not a knight.", "Joseph cannot be a knight, because this would contradict the claim of Amelia that Joseph is not a knight.", "Assume Joseph is a knave. No contradiction is found in their false claim that Emily is a knight if and only if James is a knight.", "Assume Emily is a knight. No contradiction is found in their claim that Ella is a knave.", "Ella cannot be a knight, because this would contradict the claim of their own that James is a knight.", "Assume Ella is a knave. No contradiction is found in their false claim that James is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 4), ('lying', 6)), ('<=>', ('telling-truth', 6), ('telling-truth', 4)), ('telling-truth', 4), ('telling-truth', 5), ('lying', 3), ('not', ('telling-truth', 1)), ('lying', 2))", "index": 813}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Aria, Amelia, Matthew, Aiden, Victoria, Mia, and Ella. Aria said, \"Ella is a knight or Matthew is a knave.\" As Amelia put it, \"If Matthew is a knight then Aria is a knight\". \"Aria is a knave,\" Matthew claimed. \"Mia is not a knave,\" Aiden mentioned. As Victoria put it, \"Aiden is a knight and Mia is a knight\". Mia said that If Aiden is a knave then Victoria is a knave. According to Ella, \"If Victoria is a knave then Amelia is a knight\". So who is a knight and who is a knave?", "names": ["Aria", "Amelia", "Matthew", "Aiden", "Victoria", "Mia", "Ella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true, true, true, true], "solution_text": "Aria is a knight, Amelia is a knight, Matthew is a knave, Aiden is a knight, Victoria is a knight, Mia is a knight, and Ella is a knight.", "solution_text_format": "(1) Aria is a knight\n(2) Amelia is a knight\n(3) Matthew is a knave\n(4) Aiden is a knight\n(5) Victoria is a knight\n(6) Mia is a knight\n(7) Ella is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aria is a knight. No contradiction is found in their claim that Ella is a knight or Matthew is a knave.", "Assume Ella is a knight. No contradiction is found in their claim that If Victoria is a knave then Amelia is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that Aiden is a knight and Mia is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that Mia is not a knave.", "Assume Mia is a knight. No contradiction is found in their claim that If Aiden is a knave then Victoria is a knave.", "Assume Amelia is a knight. No contradiction is found in their claim that If Matthew is a knight then Aria is a knight.", "Matthew cannot be a knight, because this would contradict the claim of their own that Aria is a knave.", "Assume Matthew is a knave. No contradiction is found in their false claim that Aria is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 6), ('lying', 2)), ('->', ('telling-truth', 2), ('telling-truth', 0)), ('lying', 0), ('not', ('lying', 5)), ('and', ('telling-truth', 3), ('telling-truth', 5)), ('->', ('lying', 3), ('lying', 4)), ('->', ('lying', 4), ('telling-truth', 1)))", "index": 814}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Harper, Elizabeth, Alexander, Aurora, Michael, Lucas, and Ava. \"Alexander is a knave and Alexander is a knight,\" Harper declared. \"Alexander is not a knight,\" Elizabeth claimed. \"Elizabeth is not a knight\" - Alexander. Aurora told you that Michael is a knave. \"If Alexander is a knight then Alexander is a knave,\" Michael claimed. Lucas remarked, \"Harper is a knave\". Ava said, \"If Ava is a knight then Elizabeth is a knave.\" So who is a knight and who is a knave?", "names": ["Harper", "Elizabeth", "Alexander", "Aurora", "Michael", "Lucas", "Ava"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true, false, true, true], "solution_text": "Harper is a knave, Elizabeth is a knave, Alexander is a knight, Aurora is a knight, Michael is a knave, Lucas is a knight, and Ava is a knight.", "solution_text_format": "(1) Harper is a knave\n(2) Elizabeth is a knave\n(3) Alexander is a knight\n(4) Aurora is a knight\n(5) Michael is a knave\n(6) Lucas is a knight\n(7) Ava is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Harper cannot be a knight, because this would contradict the claim of their own that Alexander is a knave and Alexander is a knight.", "Assume Harper is a knave. No contradiction is found in their false claim that Alexander is a knave and Alexander is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that Elizabeth is not a knight.", "Elizabeth cannot be a knight, because this would contradict the claim of their own that Alexander is not a knight.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Alexander is not a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that Michael is a knave.", "Michael cannot be a knight, because this would contradict the claim of Aurora that Michael is a knave.", "Assume Michael is a knave. No contradiction is found in their false claim that If Alexander is a knight then Alexander is a knave.", "Assume Lucas is a knight. No contradiction is found in their claim that Harper is a knave.", "Assume Ava is a knight. No contradiction is found in their claim that If Ava is a knight then Elizabeth is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('telling-truth', 2)), ('not', ('telling-truth', 2)), ('not', ('telling-truth', 1)), ('lying', 4), ('->', ('telling-truth', 2), ('lying', 2)), ('lying', 0), ('->', ('telling-truth', 6), ('lying', 1)))", "index": 815}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: James, Lily, Olivia, Aiden, Victoria, Scarlett, and Harper. James stated, \"Lily is a knave or Harper is a knave\". \"Olivia is a knight,\" Lily claimed. Olivia stated, \"Harper is a knight if and only if Olivia is a knight\". Aiden stated, \"Lily is a knave if and only if Victoria is a knave\". In a statement by Victoria: \"If Harper is a knight then Scarlett is a knight\". Scarlett stated, \"Aiden is a knight\". Harper said, \"Aiden is not a knave.\" So who is a knight and who is a knave?", "names": ["James", "Lily", "Olivia", "Aiden", "Victoria", "Scarlett", "Harper"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, true, true, true], "solution_text": "James is a knave, Lily is a knight, Olivia is a knight, Aiden is a knight, Victoria is a knight, Scarlett is a knight, and Harper is a knight.", "solution_text_format": "(1) James is a knave\n(2) Lily is a knight\n(3) Olivia is a knight\n(4) Aiden is a knight\n(5) Victoria is a knight\n(6) Scarlett is a knight\n(7) Harper is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume James is a knight. No contradiction is found in their claim that Lily is a knave or Harper is a knave.", "Assume Lily is a knight. No contradiction is found in their claim that Olivia is a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that Harper is a knight if and only if Olivia is a knight.", "Harper cannot be a knight, because this would contradict the claim of James that Lily is a knave or Harper is a knave.", "Harper cannot be a knave, because this would contradict the claim of Olivia that Harper is a knight if and only if Olivia is a knight.", "We have exhausted all possibilities for Harper, so let us go back and reconsider Olivia.", "Olivia cannot be a knave, because this would contradict the claim of Lily that Olivia is a knight.", "We have exhausted all possibilities for Olivia, so let us go back and reconsider Lily.", "Assume Lily is a knave. No contradiction is found in their false claim that Olivia is a knight.", "Olivia cannot be a knight, because this would contradict the false claim of Lily that Olivia is a knight.", "Assume Olivia is a knave. No contradiction is found in their false claim that Harper is a knight if and only if Olivia is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that Aiden is not a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that Lily is a knave if and only if Victoria is a knave.", "Victoria cannot be a knight, because this would contradict the claim of Aiden that Lily is a knave if and only if Victoria is a knave.", "Assume Victoria is a knave. No contradiction is found in their false claim that If Harper is a knight then Scarlett is a knight.", "Scarlett cannot be a knight, because this would contradict the false claim of Victoria that If Harper is a knight then Scarlett is a knight.", "Scarlett cannot be a knave, because this would contradict the false claim of their own that Aiden is a knight.", "We have exhausted all possibilities for Scarlett and Victoria, so let us go back and reconsider Aiden.", "Aiden cannot be a knave, because this would contradict the claim of Harper that Aiden is not a knave.", "We have exhausted all possibilities for Aiden, so let us go back and reconsider Harper.", "Harper cannot be a knave, because this would contradict the false claim of Olivia that Harper is a knight if and only if Olivia is a knight.", "We have exhausted all possibilities for Harper, Olivia, and Lily, so let us go back and reconsider James.", "Assume James is a knave. No contradiction is found in their false claim that Lily is a knave or Harper is a knave.", "Assume Lily is a knight. No contradiction is found in their claim that Olivia is a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that Harper is a knight if and only if Olivia is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that Aiden is not a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that Lily is a knave if and only if Victoria is a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that If Harper is a knight then Scarlett is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that Aiden is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('lying', 6)), ('telling-truth', 2), ('<=>', ('telling-truth', 6), ('telling-truth', 2)), ('<=>', ('lying', 1), ('lying', 4)), ('->', ('telling-truth', 6), ('telling-truth', 5)), ('telling-truth', 3), ('not', ('lying', 3)))", "index": 816}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Grace, Benjamin, Elizabeth, Lucas, Amelia, Daniel, and Sofia. Grace commented, \"Benjamin is a knight or Lucas is a knight\". As Benjamin put it, \"If Sofia is a knave then Grace is a knave\". Elizabeth said that Benjamin is a knight. Lucas commented, \"Amelia is a knight or Daniel is a knave\". Amelia asserted: \"Daniel is a knight\". Daniel told you that Elizabeth is a knight or Benjamin is a knight. \"Daniel is a knave and Amelia is a knight,\" Sofia mentioned. So who is a knight and who is a knave?", "names": ["Grace", "Benjamin", "Elizabeth", "Lucas", "Amelia", "Daniel", "Sofia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, false, false, false], "solution_text": "Grace is a knight, Benjamin is a knave, Elizabeth is a knave, Lucas is a knight, Amelia is a knave, Daniel is a knave, and Sofia is a knave.", "solution_text_format": "(1) Grace is a knight\n(2) Benjamin is a knave\n(3) Elizabeth is a knave\n(4) Lucas is a knight\n(5) Amelia is a knave\n(6) Daniel is a knave\n(7) Sofia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Grace is a knight. No contradiction is found in their claim that Benjamin is a knight or Lucas is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that If Sofia is a knave then Grace is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that Daniel is a knave and Amelia is a knight.", "Daniel cannot be a knight, because this would contradict the claim of Sofia that Daniel is a knave and Amelia is a knight.", "Daniel cannot be a knave, because this would contradict the false claim of their own that Elizabeth is a knight or Benjamin is a knight.", "We have exhausted all possibilities for Daniel, so let us go back and reconsider Sofia.", "Sofia cannot be a knave, because this would contradict the claim of Benjamin that If Sofia is a knave then Grace is a knave.", "We have exhausted all possibilities for Sofia, so let us go back and reconsider Benjamin.", "Assume Benjamin is a knave. No contradiction is found in their false claim that If Sofia is a knave then Grace is a knave.", "Sofia cannot be a knight, because this would contradict the false claim of Benjamin that If Sofia is a knave then Grace is a knave.", "Assume Sofia is a knave. No contradiction is found in their false claim that Daniel is a knave and Amelia is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that Elizabeth is a knight or Benjamin is a knight.", "Elizabeth cannot be a knight, because this would contradict the claim of their own that Benjamin is a knight.", "Elizabeth cannot be a knave, because this would contradict the claim of Daniel that Elizabeth is a knight or Benjamin is a knight.", "We have exhausted all possibilities for Elizabeth, so let us go back and reconsider Daniel.", "Assume Daniel is a knave. No contradiction is found in their false claim that Elizabeth is a knight or Benjamin is a knight.", "Elizabeth cannot be a knight, because this would contradict the claim of their own that Benjamin is a knight.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Benjamin is a knight.", "Amelia cannot be a knight, because this would contradict the claim of their own that Daniel is a knight.", "Assume Amelia is a knave. No contradiction is found in their false claim that Daniel is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that Amelia is a knight or Daniel is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 1), ('telling-truth', 3)), ('->', ('lying', 6), ('lying', 0)), ('telling-truth', 1), ('or', ('telling-truth', 4), ('lying', 5)), ('telling-truth', 5), ('or', ('telling-truth', 2), ('telling-truth', 1)), ('and', ('lying', 5), ('telling-truth', 4)))", "index": 817}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Olivia, Henry, William, Jack, Riley, Daniel, and Mason. According to Olivia, \"Mason is a knight\". According to Henry, \"Daniel is a knight and Daniel is a knave\". William told you that Riley is not a knave. Jack remarked, \"Mason is a knave\". As Riley put it, \"Jack is a knight\". As Daniel put it, \"Riley is not a knight\". Mason said, \"Riley is a knave if and only if Riley is a knight.\" So who is a knight and who is a knave?", "names": ["Olivia", "Henry", "William", "Jack", "Riley", "Daniel", "Mason"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true, true, false, false], "solution_text": "Olivia is a knave, Henry is a knave, William is a knight, Jack is a knight, Riley is a knight, Daniel is a knave, and Mason is a knave.", "solution_text_format": "(1) Olivia is a knave\n(2) Henry is a knave\n(3) William is a knight\n(4) Jack is a knight\n(5) Riley is a knight\n(6) Daniel is a knave\n(7) Mason is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Olivia is a knight. No contradiction is found in their claim that Mason is a knight.", "Mason cannot be a knight, because this would contradict the claim of their own that Riley is a knave if and only if Riley is a knight.", "Mason cannot be a knave, because this would contradict the claim of Olivia that Mason is a knight.", "We have exhausted all possibilities for Mason, so let us go back and reconsider Olivia.", "Assume Olivia is a knave. No contradiction is found in their false claim that Mason is a knight.", "Mason cannot be a knight, because this would contradict the false claim of Olivia that Mason is a knight.", "Assume Mason is a knave. No contradiction is found in their false claim that Riley is a knave if and only if Riley is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that Jack is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that Mason is a knave.", "Henry cannot be a knight, because this would contradict the claim of their own that Daniel is a knight and Daniel is a knave.", "Assume Henry is a knave. No contradiction is found in their false claim that Daniel is a knight and Daniel is a knave.", "Daniel cannot be a knight, because this would contradict the claim of their own that Riley is not a knight.", "Assume Daniel is a knave. No contradiction is found in their false claim that Riley is not a knight.", "Assume William is a knight. No contradiction is found in their claim that Riley is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 6), ('and', ('telling-truth', 5), ('lying', 5)), ('not', ('lying', 4)), ('lying', 6), ('telling-truth', 3), ('not', ('telling-truth', 4)), ('<=>', ('lying', 4), ('telling-truth', 4)))", "index": 818}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Jack, Scarlett, Aurora, Henry, Aiden, Liam, and Penelope. \"Aurora is a knave and Scarlett is a knight,\" Jack claimed. \"Henry is a knight if and only if Aurora is a knight\" - Scarlett. In a statement by Aurora: \"Scarlett is not a knave\". Henry expressed that Penelope is a knight. Aiden commented, \"Aurora is a knave if and only if Scarlett is a knight\". Liam told you that Aiden is a knave if and only if Henry is a knave. \"Scarlett is not a knight\" - Penelope. So who is a knight and who is a knave?", "names": ["Jack", "Scarlett", "Aurora", "Henry", "Aiden", "Liam", "Penelope"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true, false, false, true], "solution_text": "Jack is a knave, Scarlett is a knave, Aurora is a knave, Henry is a knight, Aiden is a knave, Liam is a knave, and Penelope is a knight.", "solution_text_format": "(1) Jack is a knave\n(2) Scarlett is a knave\n(3) Aurora is a knave\n(4) Henry is a knight\n(5) Aiden is a knave\n(6) Liam is a knave\n(7) Penelope is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jack is a knight. No contradiction is found in their claim that Aurora is a knave and Scarlett is a knight.", "Aurora cannot be a knight, because this would contradict the claim of Jack that Aurora is a knave and Scarlett is a knight.", "Assume Aurora is a knave. No contradiction is found in their false claim that Scarlett is not a knave.", "Scarlett cannot be a knight, because this would contradict the false claim of Aurora that Scarlett is not a knave.", "Scarlett cannot be a knave, because this would contradict the claim of Jack that Aurora is a knave and Scarlett is a knight.", "We have exhausted all possibilities for Scarlett and Aurora, so let us go back and reconsider Jack.", "Assume Jack is a knave. No contradiction is found in their false claim that Aurora is a knave and Scarlett is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that Scarlett is not a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that Henry is a knight if and only if Aurora is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that Penelope is a knight.", "Penelope cannot be a knight, because this would contradict the claim of their own that Scarlett is not a knight.", "Penelope cannot be a knave, because this would contradict the claim of Henry that Penelope is a knight.", "We have exhausted all possibilities for Penelope, so let us go back and reconsider Henry.", "Henry cannot be a knave, because this would contradict the claim of Scarlett that Henry is a knight if and only if Aurora is a knight.", "We have exhausted all possibilities for Henry, so let us go back and reconsider Scarlett.", "Scarlett cannot be a knave, because this would contradict the claim of Aurora that Scarlett is not a knave.", "We have exhausted all possibilities for Scarlett, so let us go back and reconsider Aurora.", "Assume Aurora is a knave. No contradiction is found in their false claim that Scarlett is not a knave.", "Scarlett cannot be a knight, because this would contradict the false claim of Jack that Aurora is a knave and Scarlett is a knight.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Henry is a knight if and only if Aurora is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that Penelope is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that Scarlett is not a knight.", "Aiden cannot be a knight, because this would contradict the claim of their own that Aurora is a knave if and only if Scarlett is a knight.", "Assume Aiden is a knave. No contradiction is found in their false claim that Aurora is a knave if and only if Scarlett is a knight.", "Liam cannot be a knight, because this would contradict the claim of their own that Aiden is a knave if and only if Henry is a knave.", "Assume Liam is a knave. No contradiction is found in their false claim that Aiden is a knave if and only if Henry is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('telling-truth', 1)), ('<=>', ('telling-truth', 3), ('telling-truth', 2)), ('not', ('lying', 1)), ('telling-truth', 6), ('<=>', ('lying', 2), ('telling-truth', 1)), ('<=>', ('lying', 4), ('lying', 3)), ('not', ('telling-truth', 1)))", "index": 819}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Daniel, Aiden, Chloe, David, Alexander, Ella, and Amelia. Daniel remarked, \"Amelia is a knight if and only if Amelia is a knave\". Aiden commented, \"David is a knight and Ella is a knave\". Chloe said that David is a knight if and only if Alexander is a knight. David remarked, \"Daniel is a knave or Aiden is a knight\". According to Alexander, \"Aiden is not a knave\". Ella noted, \"Daniel is a knave and Daniel is a knight\". \"Daniel is not a knave,\" Amelia declared. So who is a knight and who is a knave?", "names": ["Daniel", "Aiden", "Chloe", "David", "Alexander", "Ella", "Amelia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, true, false, false], "solution_text": "Daniel is a knave, Aiden is a knight, Chloe is a knight, David is a knight, Alexander is a knight, Ella is a knave, and Amelia is a knave.", "solution_text_format": "(1) Daniel is a knave\n(2) Aiden is a knight\n(3) Chloe is a knight\n(4) David is a knight\n(5) Alexander is a knight\n(6) Ella is a knave\n(7) Amelia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Daniel cannot be a knight, because this would contradict the claim of their own that Amelia is a knight if and only if Amelia is a knave.", "Assume Daniel is a knave. No contradiction is found in their false claim that Amelia is a knight if and only if Amelia is a knave.", "Amelia cannot be a knight, because this would contradict the claim of their own that Daniel is not a knave.", "Assume Amelia is a knave. No contradiction is found in their false claim that Daniel is not a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that David is a knight and Ella is a knave.", "Assume David is a knight. No contradiction is found in their claim that Daniel is a knave or Aiden is a knight.", "Ella cannot be a knight, because this would contradict the claim of Aiden that David is a knight and Ella is a knave.", "Assume Ella is a knave. No contradiction is found in their false claim that Daniel is a knave and Daniel is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that David is a knight if and only if Alexander is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that Aiden is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 6), ('lying', 6)), ('and', ('telling-truth', 3), ('lying', 5)), ('<=>', ('telling-truth', 3), ('telling-truth', 4)), ('or', ('lying', 0), ('telling-truth', 1)), ('not', ('lying', 1)), ('and', ('lying', 0), ('telling-truth', 0)), ('not', ('lying', 0)))", "index": 820}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Emily, Riley, Grace, Ethan, David, Sophia, and Liam. Emily expressed that David is a knave if and only if Ethan is a knave. Riley stated, \"If Sophia is a knave then Liam is a knave\". \"If David is a knight then Sophia is a knave,\" Grace declared. Ethan expressed that Riley is a knave if and only if Riley is a knight. As David put it, \"Ethan is a knight\". Sophia stated, \"Grace is a knave and Riley is a knave\". \"Sophia is a knave,\" Liam claimed. So who is a knight and who is a knave?", "names": ["Emily", "Riley", "Grace", "Ethan", "David", "Sophia", "Liam"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false, false, false, true], "solution_text": "Emily is a knight, Riley is a knave, Grace is a knight, Ethan is a knave, David is a knave, Sophia is a knave, and Liam is a knight.", "solution_text_format": "(1) Emily is a knight\n(2) Riley is a knave\n(3) Grace is a knight\n(4) Ethan is a knave\n(5) David is a knave\n(6) Sophia is a knave\n(7) Liam is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Emily is a knight. No contradiction is found in their claim that David is a knave if and only if Ethan is a knave.", "Assume David is a knight. No contradiction is found in their claim that Ethan is a knight.", "Ethan cannot be a knight, because this would contradict the claim of their own that Riley is a knave if and only if Riley is a knight.", "Ethan cannot be a knave, because this would contradict the claim of Emily that David is a knave if and only if Ethan is a knave.", "We have exhausted all possibilities for Ethan, so let us go back and reconsider David.", "Assume David is a knave. No contradiction is found in their false claim that Ethan is a knight.", "Ethan cannot be a knight, because this would contradict the claim of Emily that David is a knave if and only if Ethan is a knave.", "Assume Ethan is a knave. No contradiction is found in their false claim that Riley is a knave if and only if Riley is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that If Sophia is a knave then Liam is a knave.", "Sophia cannot be a knight, because this would contradict the claim of their own that Grace is a knave and Riley is a knave.", "Assume Sophia is a knave. No contradiction is found in their false claim that Grace is a knave and Riley is a knave.", "Assume Grace is a knight. No contradiction is found in their claim that If David is a knight then Sophia is a knave.", "Liam cannot be a knight, because this would contradict the claim of Riley that If Sophia is a knave then Liam is a knave.", "Liam cannot be a knave, because this would contradict the false claim of their own that Sophia is a knave.", "We have exhausted all possibilities for Liam, so let us go back and reconsider Grace.", "Grace cannot be a knave, because this would contradict the false claim of their own that If David is a knight then Sophia is a knave.", "We have exhausted all possibilities for Grace and Sophia, so let us go back and reconsider Riley.", "Assume Riley is a knave. No contradiction is found in their false claim that If Sophia is a knave then Liam is a knave.", "Sophia cannot be a knight, because this would contradict the false claim of Riley that If Sophia is a knave then Liam is a knave.", "Assume Sophia is a knave. No contradiction is found in their false claim that Grace is a knave and Riley is a knave.", "Assume Grace is a knight. No contradiction is found in their claim that If David is a knight then Sophia is a knave.", "Assume Liam is a knight. No contradiction is found in their claim that Sophia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 4), ('lying', 3)), ('->', ('lying', 5), ('lying', 6)), ('->', ('telling-truth', 4), ('lying', 5)), ('<=>', ('lying', 1), ('telling-truth', 1)), ('telling-truth', 3), ('and', ('lying', 2), ('lying', 1)), ('lying', 5))", "index": 821}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Victoria, David, Daniel, Emma, Abigail, Benjamin, and Luke. \"Daniel is a knight if and only if Benjamin is a knave\" - Victoria. As David put it, \"Abigail is a knight and Benjamin is a knight\". \"David is not a knight,\" Daniel mentioned. Emma noted, \"Luke is not a knave\". According to Abigail, \"Luke is a knave and David is a knight\". Benjamin told you that David is not a knight. \"David is a knight if and only if Victoria is a knave\" - Luke. So who is a knight and who is a knave?", "names": ["Victoria", "David", "Daniel", "Emma", "Abigail", "Benjamin", "Luke"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false, false, true, false], "solution_text": "Victoria is a knave, David is a knave, Daniel is a knight, Emma is a knave, Abigail is a knave, Benjamin is a knight, and Luke is a knave.", "solution_text_format": "(1) Victoria is a knave\n(2) David is a knave\n(3) Daniel is a knight\n(4) Emma is a knave\n(5) Abigail is a knave\n(6) Benjamin is a knight\n(7) Luke is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Victoria is a knight. No contradiction is found in their claim that Daniel is a knight if and only if Benjamin is a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that David is not a knight.", "David cannot be a knight, because this would contradict the claim of Daniel that David is not a knight.", "Assume David is a knave. No contradiction is found in their false claim that Abigail is a knight and Benjamin is a knight.", "Abigail cannot be a knight, because this would contradict the claim of their own that Luke is a knave and David is a knight.", "Assume Abigail is a knave. No contradiction is found in their false claim that Luke is a knave and David is a knight.", "Assume Luke is a knight. No contradiction is found in their claim that David is a knight if and only if Victoria is a knave.", "Benjamin cannot be a knight, because this would contradict the claim of Victoria that Daniel is a knight if and only if Benjamin is a knave.", "Benjamin cannot be a knave, because this would contradict the false claim of their own that David is not a knight.", "We have exhausted all possibilities for Benjamin, so let us go back and reconsider Luke.", "Luke cannot be a knave, because this would contradict the false claim of their own that David is a knight if and only if Victoria is a knave.", "We have exhausted all possibilities for Luke, Abigail, and David, so let us go back and reconsider Daniel.", "Assume Daniel is a knave. No contradiction is found in their false claim that David is not a knight.", "Assume David is a knight. No contradiction is found in their claim that Abigail is a knight and Benjamin is a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that Luke is a knave and David is a knight.", "Luke cannot be a knight, because this would contradict the claim of Abigail that Luke is a knave and David is a knight.", "Assume Luke is a knave. No contradiction is found in their false claim that David is a knight if and only if Victoria is a knave.", "Benjamin cannot be a knight, because this would contradict the claim of their own that David is not a knight.", "Benjamin cannot be a knave, because this would contradict the claim of Victoria that Daniel is a knight if and only if Benjamin is a knave.", "We have exhausted all possibilities for Benjamin and Luke, so let us go back and reconsider Abigail.", "Abigail cannot be a knave, because this would contradict the claim of David that Abigail is a knight and Benjamin is a knight.", "We have exhausted all possibilities for Abigail, so let us go back and reconsider David.", "David cannot be a knave, because this would contradict the false claim of Daniel that David is not a knight.", "We have exhausted all possibilities for David and Daniel, so let us go back and reconsider Victoria.", "Assume Victoria is a knave. No contradiction is found in their false claim that Daniel is a knight if and only if Benjamin is a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that David is not a knight.", "David cannot be a knight, because this would contradict the claim of Daniel that David is not a knight.", "Assume David is a knave. No contradiction is found in their false claim that Abigail is a knight and Benjamin is a knight.", "Abigail cannot be a knight, because this would contradict the claim of their own that Luke is a knave and David is a knight.", "Assume Abigail is a knave. No contradiction is found in their false claim that Luke is a knave and David is a knight.", "Luke cannot be a knight, because this would contradict the claim of their own that David is a knight if and only if Victoria is a knave.", "Assume Luke is a knave. No contradiction is found in their false claim that David is a knight if and only if Victoria is a knave.", "Assume Benjamin is a knight. No contradiction is found in their claim that David is not a knight.", "Emma cannot be a knight, because this would contradict the claim of their own that Luke is not a knave.", "Assume Emma is a knave. No contradiction is found in their false claim that Luke is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 2), ('lying', 5)), ('and', ('telling-truth', 4), ('telling-truth', 5)), ('not', ('telling-truth', 1)), ('not', ('lying', 6)), ('and', ('lying', 6), ('telling-truth', 1)), ('not', ('telling-truth', 1)), ('<=>', ('telling-truth', 1), ('lying', 0)))", "index": 822}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Joseph, Jackson, Sebastian, Henry, Avery, James, and Lucas. Joseph stated, \"If Avery is a knave then Avery is a knight\". In a statement by Jackson: \"Joseph is a knight if and only if Joseph is a knave\". Sebastian was heard saying, \"If Sebastian is a knight then Joseph is a knight\". Henry was heard saying, \"James is a knave if and only if Jackson is a knave\". \"If James is a knave then Avery is a knight\" - Avery. James said that Sebastian is a knave and Avery is a knave. Lucas asserted: \"Sebastian is a knave if and only if Joseph is a knight\". So who is a knight and who is a knave?", "names": ["Joseph", "Jackson", "Sebastian", "Henry", "Avery", "James", "Lucas"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, true, false, false], "solution_text": "Joseph is a knight, Jackson is a knave, Sebastian is a knight, Henry is a knight, Avery is a knight, James is a knave, and Lucas is a knave.", "solution_text_format": "(1) Joseph is a knight\n(2) Jackson is a knave\n(3) Sebastian is a knight\n(4) Henry is a knight\n(5) Avery is a knight\n(6) James is a knave\n(7) Lucas is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Joseph is a knight. No contradiction is found in their claim that If Avery is a knave then Avery is a knight.", "Assume Avery is a knight. No contradiction is found in their claim that If James is a knave then Avery is a knight.", "James cannot be a knight, because this would contradict the claim of their own that Sebastian is a knave and Avery is a knave.", "Assume James is a knave. No contradiction is found in their false claim that Sebastian is a knave and Avery is a knave.", "Assume Sebastian is a knight. No contradiction is found in their claim that If Sebastian is a knight then Joseph is a knight.", "Jackson cannot be a knight, because this would contradict the claim of their own that Joseph is a knight if and only if Joseph is a knave.", "Assume Jackson is a knave. No contradiction is found in their false claim that Joseph is a knight if and only if Joseph is a knave.", "Assume Henry is a knight. No contradiction is found in their claim that James is a knave if and only if Jackson is a knave.", "Lucas cannot be a knight, because this would contradict the claim of their own that Sebastian is a knave if and only if Joseph is a knight.", "Assume Lucas is a knave. No contradiction is found in their false claim that Sebastian is a knave if and only if Joseph is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 4), ('telling-truth', 4)), ('<=>', ('telling-truth', 0), ('lying', 0)), ('->', ('telling-truth', 2), ('telling-truth', 0)), ('<=>', ('lying', 5), ('lying', 1)), ('->', ('lying', 5), ('telling-truth', 4)), ('and', ('lying', 2), ('lying', 4)), ('<=>', ('lying', 2), ('telling-truth', 0)))", "index": 823}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Zoey, Mason, Logan, Benjamin, Jacob, Daniel, and Abigail. Zoey was heard saying, \"Daniel is a knight\". \"Zoey is not a knave,\" Mason claimed. Logan was heard saying, \"Daniel is a knight\". Benjamin said that Abigail is a knave. \"Jacob is a knight if and only if Benjamin is a knave,\" Jacob claimed. Daniel commented, \"Jacob is not a knave\". Abigail remarked, \"Logan is a knight\". So who is a knight and who is a knave?", "names": ["Zoey", "Mason", "Logan", "Benjamin", "Jacob", "Daniel", "Abigail"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false, true, true, true], "solution_text": "Zoey is a knight, Mason is a knight, Logan is a knight, Benjamin is a knave, Jacob is a knight, Daniel is a knight, and Abigail is a knight.", "solution_text_format": "(1) Zoey is a knight\n(2) Mason is a knight\n(3) Logan is a knight\n(4) Benjamin is a knave\n(5) Jacob is a knight\n(6) Daniel is a knight\n(7) Abigail is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Zoey is a knight. No contradiction is found in their claim that Daniel is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that Jacob is not a knave.", "Assume Jacob is a knight. No contradiction is found in their claim that Jacob is a knight if and only if Benjamin is a knave.", "Benjamin cannot be a knight, because this would contradict the claim of Jacob that Jacob is a knight if and only if Benjamin is a knave.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Abigail is a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that Logan is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that Daniel is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that Zoey is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 5), ('not', ('lying', 0)), ('telling-truth', 5), ('lying', 6), ('<=>', ('telling-truth', 4), ('lying', 3)), ('not', ('lying', 4)), ('telling-truth', 2))", "index": 824}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Evelyn, Charlotte, Ava, Mia, Aria, Emma, and Matthew. Evelyn stated, \"If Emma is a knave then Charlotte is a knight\". \"If Mia is a knave then Mia is a knight,\" Charlotte declared. Ava expressed that Aria is a knave and Emma is a knave. Mia expressed that If Aria is a knight then Evelyn is a knave. As Aria put it, \"Charlotte is a knight and Evelyn is a knave\". \"Matthew is a knight and Matthew is a knave,\" Emma claimed. Matthew said, \"Ava is a knight if and only if Aria is a knave.\" So who is a knight and who is a knave?", "names": ["Evelyn", "Charlotte", "Ava", "Mia", "Aria", "Emma", "Matthew"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, false, false, true], "solution_text": "Evelyn is a knight, Charlotte is a knight, Ava is a knight, Mia is a knight, Aria is a knave, Emma is a knave, and Matthew is a knight.", "solution_text_format": "(1) Evelyn is a knight\n(2) Charlotte is a knight\n(3) Ava is a knight\n(4) Mia is a knight\n(5) Aria is a knave\n(6) Emma is a knave\n(7) Matthew is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Evelyn is a knight. No contradiction is found in their claim that If Emma is a knave then Charlotte is a knight.", "Emma cannot be a knight, because this would contradict the claim of their own that Matthew is a knight and Matthew is a knave.", "Assume Emma is a knave. No contradiction is found in their false claim that Matthew is a knight and Matthew is a knave.", "Assume Matthew is a knight. No contradiction is found in their claim that Ava is a knight if and only if Aria is a knave.", "Assume Ava is a knight. No contradiction is found in their claim that Aria is a knave and Emma is a knave.", "Aria cannot be a knight, because this would contradict the claim of Ava that Aria is a knave and Emma is a knave.", "Assume Aria is a knave. No contradiction is found in their false claim that Charlotte is a knight and Evelyn is a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that If Mia is a knave then Mia is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that If Aria is a knight then Evelyn is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 5), ('telling-truth', 1)), ('->', ('lying', 3), ('telling-truth', 3)), ('and', ('lying', 4), ('lying', 5)), ('->', ('telling-truth', 4), ('lying', 0)), ('and', ('telling-truth', 1), ('lying', 0)), ('and', ('telling-truth', 6), ('lying', 6)), ('<=>', ('telling-truth', 2), ('lying', 4)))", "index": 825}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Jacob, Zoey, Luke, Isabella, Mason, Victoria, and Grace. \"If Luke is a knight then Zoey is a knight,\" Jacob claimed. Zoey expressed that Mason is a knave and Luke is a knight. Luke commented, \"Mason is not a knight\". In a statement by Isabella: \"If Grace is a knave then Jacob is a knight\". Mason said that If Isabella is a knight then Victoria is a knave. Victoria remarked, \"Zoey is a knave or Luke is a knight\". \"If Mason is a knight then Victoria is a knave,\" Grace mentioned. So who is a knight and who is a knave?", "names": ["Jacob", "Zoey", "Luke", "Isabella", "Mason", "Victoria", "Grace"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, false, true, true], "solution_text": "Jacob is a knight, Zoey is a knight, Luke is a knight, Isabella is a knight, Mason is a knave, Victoria is a knight, and Grace is a knight.", "solution_text_format": "(1) Jacob is a knight\n(2) Zoey is a knight\n(3) Luke is a knight\n(4) Isabella is a knight\n(5) Mason is a knave\n(6) Victoria is a knight\n(7) Grace is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jacob is a knight. No contradiction is found in their claim that If Luke is a knight then Zoey is a knight.", "Assume Luke is a knight. No contradiction is found in their claim that Mason is not a knight.", "Mason cannot be a knight, because this would contradict the claim of Luke that Mason is not a knight.", "Assume Mason is a knave. No contradiction is found in their false claim that If Isabella is a knight then Victoria is a knave.", "Assume Isabella is a knight. No contradiction is found in their claim that If Grace is a knave then Jacob is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that If Mason is a knight then Victoria is a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that Zoey is a knave or Luke is a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that Mason is a knave and Luke is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 2), ('telling-truth', 1)), ('and', ('lying', 4), ('telling-truth', 2)), ('not', ('telling-truth', 4)), ('->', ('lying', 6), ('telling-truth', 0)), ('->', ('telling-truth', 3), ('lying', 5)), ('or', ('lying', 1), ('telling-truth', 2)), ('->', ('telling-truth', 4), ('lying', 5)))", "index": 826}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Mia, Mason, Jackson, Daniel, Emily, Logan, and Jack. Mia said that Mason is not a knave. \"Logan is a knight or Emily is a knight\" - Mason. Jackson commented, \"If Mason is a knight then Logan is a knave\". Daniel remarked, \"If Daniel is a knight then Jack is a knave\". Emily said, \"Mia is not a knave.\" Logan commented, \"If Daniel is a knight then Mason is a knight\". As Jack put it, \"Daniel is a knight if and only if Mia is a knave\". So who is a knight and who is a knave?", "names": ["Mia", "Mason", "Jackson", "Daniel", "Emily", "Logan", "Jack"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true, true, true, false], "solution_text": "Mia is a knight, Mason is a knight, Jackson is a knave, Daniel is a knight, Emily is a knight, Logan is a knight, and Jack is a knave.", "solution_text_format": "(1) Mia is a knight\n(2) Mason is a knight\n(3) Jackson is a knave\n(4) Daniel is a knight\n(5) Emily is a knight\n(6) Logan is a knight\n(7) Jack is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Mia is a knight. No contradiction is found in their claim that Mason is not a knave.", "Assume Mason is a knight. No contradiction is found in their claim that Logan is a knight or Emily is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that If Daniel is a knight then Mason is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that If Daniel is a knight then Jack is a knave.", "Jack cannot be a knight, because this would contradict the claim of Daniel that If Daniel is a knight then Jack is a knave.", "Assume Jack is a knave. No contradiction is found in their false claim that Daniel is a knight if and only if Mia is a knave.", "Assume Emily is a knight. No contradiction is found in their claim that Mia is not a knave.", "Jackson cannot be a knight, because this would contradict the claim of their own that If Mason is a knight then Logan is a knave.", "Assume Jackson is a knave. No contradiction is found in their false claim that If Mason is a knight then Logan is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 1)), ('or', ('telling-truth', 5), ('telling-truth', 4)), ('->', ('telling-truth', 1), ('lying', 5)), ('->', ('telling-truth', 3), ('lying', 6)), ('not', ('lying', 0)), ('->', ('telling-truth', 3), ('telling-truth', 1)), ('<=>', ('telling-truth', 3), ('lying', 0)))", "index": 827}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Riley, Ella, Luke, Scarlett, Sophia, Samuel, and Mia. Riley was heard saying, \"Ella is a knave\". Ella stated, \"Samuel is not a knight\". Luke stated, \"Scarlett is a knave if and only if Mia is a knave\". Scarlett noted, \"If Riley is a knave then Ella is a knight\". Sophia told you that Scarlett is a knave if and only if Samuel is a knave. In a statement by Samuel: \"If Luke is a knight then Riley is a knave\". Mia expressed that Mia is a knight. So who is a knight and who is a knave?", "names": ["Riley", "Ella", "Luke", "Scarlett", "Sophia", "Samuel", "Mia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, true, true, false], "solution_text": "Riley is a knight, Ella is a knave, Luke is a knave, Scarlett is a knight, Sophia is a knight, Samuel is a knight, and Mia is a knave.", "solution_text_format": "(1) Riley is a knight\n(2) Ella is a knave\n(3) Luke is a knave\n(4) Scarlett is a knight\n(5) Sophia is a knight\n(6) Samuel is a knight\n(7) Mia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Riley is a knight. No contradiction is found in their claim that Ella is a knave.", "Ella cannot be a knight, because this would contradict the claim of Riley that Ella is a knave.", "Assume Ella is a knave. No contradiction is found in their false claim that Samuel is not a knight.", "Assume Samuel is a knight. No contradiction is found in their claim that If Luke is a knight then Riley is a knave.", "Luke cannot be a knight, because this would contradict the claim of Samuel that If Luke is a knight then Riley is a knave.", "Assume Luke is a knave. No contradiction is found in their false claim that Scarlett is a knave if and only if Mia is a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that If Riley is a knave then Ella is a knight.", "Mia cannot be a knight, because this would contradict the false claim of Luke that Scarlett is a knave if and only if Mia is a knave.", "Assume Mia is a knave. No contradiction is found in their false claim that Mia is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that Scarlett is a knave if and only if Samuel is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('not', ('telling-truth', 5)), ('<=>', ('lying', 3), ('lying', 6)), ('->', ('lying', 0), ('telling-truth', 1)), ('<=>', ('lying', 3), ('lying', 5)), ('->', ('telling-truth', 2), ('lying', 0)), ('telling-truth', 6))", "index": 828}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Ava, Sebastian, Victoria, Logan, Noah, Luke, and Amelia. \"If Victoria is a knave then Amelia is a knave,\" Ava claimed. \"Logan is not a knight,\" Sebastian mentioned. Victoria told you that Amelia is not a knave. Logan commented, \"Sebastian is a knave and Noah is a knave\". As Noah put it, \"Logan is a knight if and only if Sebastian is a knave\". In a statement by Luke: \"Logan is a knight if and only if Noah is a knave\". Amelia said that Sebastian is a knave. So who is a knight and who is a knave?", "names": ["Ava", "Sebastian", "Victoria", "Logan", "Noah", "Luke", "Amelia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false, true, true, false], "solution_text": "Ava is a knight, Sebastian is a knight, Victoria is a knave, Logan is a knave, Noah is a knight, Luke is a knight, and Amelia is a knave.", "solution_text_format": "(1) Ava is a knight\n(2) Sebastian is a knight\n(3) Victoria is a knave\n(4) Logan is a knave\n(5) Noah is a knight\n(6) Luke is a knight\n(7) Amelia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ava is a knight. No contradiction is found in their claim that If Victoria is a knave then Amelia is a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that Amelia is not a knave.", "Assume Amelia is a knight. No contradiction is found in their claim that Sebastian is a knave.", "Sebastian cannot be a knight, because this would contradict the claim of Amelia that Sebastian is a knave.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Logan is not a knight.", "Assume Logan is a knight. No contradiction is found in their claim that Sebastian is a knave and Noah is a knave.", "Noah cannot be a knight, because this would contradict the claim of Logan that Sebastian is a knave and Noah is a knave.", "Noah cannot be a knave, because this would contradict the false claim of their own that Logan is a knight if and only if Sebastian is a knave.", "We have exhausted all possibilities for Noah, so let us go back and reconsider Logan.", "Logan cannot be a knave, because this would contradict the false claim of Sebastian that Logan is not a knight.", "We have exhausted all possibilities for Logan and Sebastian, so let us go back and reconsider Amelia.", "Amelia cannot be a knave, because this would contradict the claim of Victoria that Amelia is not a knave.", "We have exhausted all possibilities for Amelia, so let us go back and reconsider Victoria.", "Assume Victoria is a knave. No contradiction is found in their false claim that Amelia is not a knave.", "Amelia cannot be a knight, because this would contradict the claim of Ava that If Victoria is a knave then Amelia is a knave.", "Assume Amelia is a knave. No contradiction is found in their false claim that Sebastian is a knave.", "Assume Sebastian is a knight. No contradiction is found in their claim that Logan is not a knight.", "Logan cannot be a knight, because this would contradict the claim of Sebastian that Logan is not a knight.", "Assume Logan is a knave. No contradiction is found in their false claim that Sebastian is a knave and Noah is a knave.", "Assume Noah is a knight. No contradiction is found in their claim that Logan is a knight if and only if Sebastian is a knave.", "Assume Luke is a knight. No contradiction is found in their claim that Logan is a knight if and only if Noah is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 2), ('lying', 6)), ('not', ('telling-truth', 3)), ('not', ('lying', 6)), ('and', ('lying', 1), ('lying', 4)), ('<=>', ('telling-truth', 3), ('lying', 1)), ('<=>', ('telling-truth', 3), ('lying', 4)), ('lying', 1))", "index": 829}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Zoey, Olivia, Aria, Jackson, Alexander, Oliver, and Sofia. \"Jackson is a knight if and only if Alexander is a knight,\" Zoey mentioned. Olivia stated, \"Aria is a knave\". Aria asserted: \"Jackson is a knave and Jackson is a knight\". Jackson noted, \"Aria is a knight\". Alexander was heard saying, \"Olivia is a knave\". Oliver asserted: \"Aria is a knave if and only if Aria is a knight\". Sofia told you that Aria is a knave and Oliver is a knight. So who is a knight and who is a knave?", "names": ["Zoey", "Olivia", "Aria", "Jackson", "Alexander", "Oliver", "Sofia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false, false, false, false], "solution_text": "Zoey is a knight, Olivia is a knight, Aria is a knave, Jackson is a knave, Alexander is a knave, Oliver is a knave, and Sofia is a knave.", "solution_text_format": "(1) Zoey is a knight\n(2) Olivia is a knight\n(3) Aria is a knave\n(4) Jackson is a knave\n(5) Alexander is a knave\n(6) Oliver is a knave\n(7) Sofia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Zoey is a knight. No contradiction is found in their claim that Jackson is a knight if and only if Alexander is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that Aria is a knight.", "Aria cannot be a knight, because this would contradict the claim of their own that Jackson is a knave and Jackson is a knight.", "Aria cannot be a knave, because this would contradict the claim of Jackson that Aria is a knight.", "We have exhausted all possibilities for Aria, so let us go back and reconsider Jackson.", "Assume Jackson is a knave. No contradiction is found in their false claim that Aria is a knight.", "Aria cannot be a knight, because this would contradict the claim of their own that Jackson is a knave and Jackson is a knight.", "Assume Aria is a knave. No contradiction is found in their false claim that Jackson is a knave and Jackson is a knight.", "Alexander cannot be a knight, because this would contradict the claim of Zoey that Jackson is a knight if and only if Alexander is a knight.", "Assume Alexander is a knave. No contradiction is found in their false claim that Olivia is a knave.", "Assume Olivia is a knight. No contradiction is found in their claim that Aria is a knave.", "Oliver cannot be a knight, because this would contradict the claim of their own that Aria is a knave if and only if Aria is a knight.", "Assume Oliver is a knave. No contradiction is found in their false claim that Aria is a knave if and only if Aria is a knight.", "Sofia cannot be a knight, because this would contradict the claim of their own that Aria is a knave and Oliver is a knight.", "Assume Sofia is a knave. No contradiction is found in their false claim that Aria is a knave and Oliver is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 3), ('telling-truth', 4)), ('lying', 2), ('and', ('lying', 3), ('telling-truth', 3)), ('telling-truth', 2), ('lying', 1), ('<=>', ('lying', 2), ('telling-truth', 2)), ('and', ('lying', 2), ('telling-truth', 5)))", "index": 830}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Penelope, Aiden, Mason, Jackson, Elizabeth, Grace, and Charlotte. According to Penelope, \"Mason is a knight if and only if Grace is a knave\". In Aiden's words: \"Grace is a knave if and only if Charlotte is a knave\". Mason noted, \"Jackson is a knave or Grace is a knave\". \"Aiden is a knave and Grace is a knight,\" Jackson declared. As Elizabeth put it, \"Jackson is a knight or Mason is a knight\". \"Aiden is a knight if and only if Mason is a knight,\" Grace declared. \"Grace is a knight,\" Charlotte declared. So who is a knight and who is a knave?", "names": ["Penelope", "Aiden", "Mason", "Jackson", "Elizabeth", "Grace", "Charlotte"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false, true, true, true], "solution_text": "Penelope is a knave, Aiden is a knight, Mason is a knight, Jackson is a knave, Elizabeth is a knight, Grace is a knight, and Charlotte is a knight.", "solution_text_format": "(1) Penelope is a knave\n(2) Aiden is a knight\n(3) Mason is a knight\n(4) Jackson is a knave\n(5) Elizabeth is a knight\n(6) Grace is a knight\n(7) Charlotte is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Penelope is a knight. No contradiction is found in their claim that Mason is a knight if and only if Grace is a knave.", "Assume Mason is a knight. No contradiction is found in their claim that Jackson is a knave or Grace is a knave.", "Assume Jackson is a knight. No contradiction is found in their claim that Aiden is a knave and Grace is a knight.", "Aiden cannot be a knight, because this would contradict the claim of Jackson that Aiden is a knave and Grace is a knight.", "Assume Aiden is a knave. No contradiction is found in their false claim that Grace is a knave if and only if Charlotte is a knave.", "Grace cannot be a knight, because this would contradict the claim of Penelope that Mason is a knight if and only if Grace is a knave.", "Grace cannot be a knave, because this would contradict the claim of Jackson that Aiden is a knave and Grace is a knight.", "We have exhausted all possibilities for Grace and Aiden, so let us go back and reconsider Jackson.", "Assume Jackson is a knave. No contradiction is found in their false claim that Aiden is a knave and Grace is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that Grace is a knave if and only if Charlotte is a knave.", "Grace cannot be a knight, because this would contradict the claim of Penelope that Mason is a knight if and only if Grace is a knave.", "Grace cannot be a knave, because this would contradict the false claim of their own that Aiden is a knight if and only if Mason is a knight.", "We have exhausted all possibilities for Grace, so let us go back and reconsider Aiden.", "Assume Aiden is a knave. No contradiction is found in their false claim that Grace is a knave if and only if Charlotte is a knave.", "Grace cannot be a knight, because this would contradict the claim of Penelope that Mason is a knight if and only if Grace is a knave.", "Assume Grace is a knave. No contradiction is found in their false claim that Aiden is a knight if and only if Mason is a knight.", "Charlotte cannot be a knight, because this would contradict the claim of their own that Grace is a knight.", "Charlotte cannot be a knave, because this would contradict the false claim of Aiden that Grace is a knave if and only if Charlotte is a knave.", "We have exhausted all possibilities for Charlotte, Grace, Aiden, and Jackson, so let us go back and reconsider Mason.", "Assume Mason is a knave. No contradiction is found in their false claim that Jackson is a knave or Grace is a knave.", "Assume Jackson is a knight. No contradiction is found in their claim that Aiden is a knave and Grace is a knight.", "Aiden cannot be a knight, because this would contradict the claim of Jackson that Aiden is a knave and Grace is a knight.", "Assume Aiden is a knave. No contradiction is found in their false claim that Grace is a knave if and only if Charlotte is a knave.", "Assume Grace is a knight. No contradiction is found in their claim that Aiden is a knight if and only if Mason is a knight.", "Charlotte cannot be a knight, because this would contradict the false claim of Aiden that Grace is a knave if and only if Charlotte is a knave.", "Charlotte cannot be a knave, because this would contradict the false claim of their own that Grace is a knight.", "We have exhausted all possibilities for Charlotte, so let us go back and reconsider Grace.", "Grace cannot be a knave, because this would contradict the claim of Penelope that Mason is a knight if and only if Grace is a knave.", "We have exhausted all possibilities for Grace and Aiden, so let us go back and reconsider Jackson.", "Jackson cannot be a knave, because this would contradict the false claim of Mason that Jackson is a knave or Grace is a knave.", "We have exhausted all possibilities for Jackson and Mason, so let us go back and reconsider Penelope.", "Assume Penelope is a knave. No contradiction is found in their false claim that Mason is a knight if and only if Grace is a knave.", "Assume Mason is a knight. No contradiction is found in their claim that Jackson is a knave or Grace is a knave.", "Assume Jackson is a knight. No contradiction is found in their claim that Aiden is a knave and Grace is a knight.", "Aiden cannot be a knight, because this would contradict the claim of Jackson that Aiden is a knave and Grace is a knight.", "Assume Aiden is a knave. No contradiction is found in their false claim that Grace is a knave if and only if Charlotte is a knave.", "Grace cannot be a knight, because this would contradict the claim of Mason that Jackson is a knave or Grace is a knave.", "Grace cannot be a knave, because this would contradict the false claim of Penelope that Mason is a knight if and only if Grace is a knave.", "We have exhausted all possibilities for Grace and Aiden, so let us go back and reconsider Jackson.", "Assume Jackson is a knave. No contradiction is found in their false claim that Aiden is a knave and Grace is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that Grace is a knave if and only if Charlotte is a knave.", "Assume Grace is a knight. No contradiction is found in their claim that Aiden is a knight if and only if Mason is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that Grace is a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Jackson is a knight or Mason is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 2), ('lying', 5)), ('<=>', ('lying', 5), ('lying', 6)), ('or', ('lying', 3), ('lying', 5)), ('and', ('lying', 1), ('telling-truth', 5)), ('or', ('telling-truth', 3), ('telling-truth', 2)), ('<=>', ('telling-truth', 1), ('telling-truth', 2)), ('telling-truth', 5))", "index": 831}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Matthew, David, Amelia, Sebastian, Lily, Victoria, and Emma. As Matthew put it, \"If Emma is a knave then Victoria is a knave\". \"Emma is a knight if and only if Lily is a knight,\" David declared. Amelia expressed that David is not a knave. \"Matthew is not a knight\" - Sebastian. \"Amelia is a knave and Lily is a knight\" - Lily. Victoria said that Sebastian is a knave. \"Matthew is a knight,\" Emma declared. So who is a knight and who is a knave?", "names": ["Matthew", "David", "Amelia", "Sebastian", "Lily", "Victoria", "Emma"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false, false, true, true], "solution_text": "Matthew is a knight, David is a knave, Amelia is a knave, Sebastian is a knave, Lily is a knave, Victoria is a knight, and Emma is a knight.", "solution_text_format": "(1) Matthew is a knight\n(2) David is a knave\n(3) Amelia is a knave\n(4) Sebastian is a knave\n(5) Lily is a knave\n(6) Victoria is a knight\n(7) Emma is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Matthew is a knight. No contradiction is found in their claim that If Emma is a knave then Victoria is a knave.", "Assume Emma is a knight. No contradiction is found in their claim that Matthew is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that Sebastian is a knave.", "Sebastian cannot be a knight, because this would contradict the claim of their own that Matthew is not a knight.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Matthew is not a knight.", "Assume David is a knight. No contradiction is found in their claim that Emma is a knight if and only if Lily is a knight.", "Assume Lily is a knight. No contradiction is found in their claim that Amelia is a knave and Lily is a knight.", "Amelia cannot be a knight, because this would contradict the claim of Lily that Amelia is a knave and Lily is a knight.", "Amelia cannot be a knave, because this would contradict the false claim of their own that David is not a knave.", "We have exhausted all possibilities for Amelia, so let us go back and reconsider Lily.", "Lily cannot be a knave, because this would contradict the claim of David that Emma is a knight if and only if Lily is a knight.", "We have exhausted all possibilities for Lily, so let us go back and reconsider David.", "Assume David is a knave. No contradiction is found in their false claim that Emma is a knight if and only if Lily is a knight.", "Lily cannot be a knight, because this would contradict the false claim of David that Emma is a knight if and only if Lily is a knight.", "Assume Lily is a knave. No contradiction is found in their false claim that Amelia is a knave and Lily is a knight.", "Amelia cannot be a knight, because this would contradict the claim of their own that David is not a knave.", "Assume Amelia is a knave. No contradiction is found in their false claim that David is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 6), ('lying', 5)), ('<=>', ('telling-truth', 6), ('telling-truth', 4)), ('not', ('lying', 1)), ('not', ('telling-truth', 0)), ('and', ('lying', 2), ('telling-truth', 4)), ('lying', 3), ('telling-truth', 0))", "index": 832}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Elizabeth, Penelope, Emily, Matthew, Victoria, Noah, and Jackson. Elizabeth expressed that Emily is a knight. \"Jackson is a knight and Penelope is a knight,\" Penelope declared. Emily expressed that If Jackson is a knight then Noah is a knave. Matthew stated, \"Victoria is a knight if and only if Emily is a knight\". According to Victoria, \"Elizabeth is a knight if and only if Noah is a knave\". Noah was heard saying, \"If Victoria is a knight then Penelope is a knave\". Jackson asserted: \"If Victoria is a knight then Emily is a knight\". So who is a knight and who is a knave?", "names": ["Elizabeth", "Penelope", "Emily", "Matthew", "Victoria", "Noah", "Jackson"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, true, false, true], "solution_text": "Elizabeth is a knight, Penelope is a knight, Emily is a knight, Matthew is a knight, Victoria is a knight, Noah is a knave, and Jackson is a knight.", "solution_text_format": "(1) Elizabeth is a knight\n(2) Penelope is a knight\n(3) Emily is a knight\n(4) Matthew is a knight\n(5) Victoria is a knight\n(6) Noah is a knave\n(7) Jackson is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Elizabeth is a knight. No contradiction is found in their claim that Emily is a knight.", "Assume Emily is a knight. No contradiction is found in their claim that If Jackson is a knight then Noah is a knave.", "Assume Jackson is a knight. No contradiction is found in their claim that If Victoria is a knight then Emily is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that Elizabeth is a knight if and only if Noah is a knave.", "Noah cannot be a knight, because this would contradict the claim of Emily that If Jackson is a knight then Noah is a knave.", "Assume Noah is a knave. No contradiction is found in their false claim that If Victoria is a knight then Penelope is a knave.", "Assume Penelope is a knight. No contradiction is found in their claim that Jackson is a knight and Penelope is a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that Victoria is a knight if and only if Emily is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 2), ('and', ('telling-truth', 6), ('telling-truth', 1)), ('->', ('telling-truth', 6), ('lying', 5)), ('<=>', ('telling-truth', 4), ('telling-truth', 2)), ('<=>', ('telling-truth', 0), ('lying', 5)), ('->', ('telling-truth', 4), ('lying', 1)), ('->', ('telling-truth', 4), ('telling-truth', 2)))", "index": 833}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Elizabeth, Aria, Riley, Ethan, Michael, Chloe, and Ella. Elizabeth was heard saying, \"If Chloe is a knight then Michael is a knight\". \"Ella is not a knave,\" Aria declared. Riley expressed that Elizabeth is a knave and Ella is a knight. \"Elizabeth is not a knave\" - Ethan. According to Michael, \"Aria is a knight or Chloe is a knight\". Chloe stated, \"Ethan is a knight\". Ella remarked, \"If Riley is a knight then Riley is a knave\". So who is a knight and who is a knave?", "names": ["Elizabeth", "Aria", "Riley", "Ethan", "Michael", "Chloe", "Ella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true, true, true, true], "solution_text": "Elizabeth is a knight, Aria is a knight, Riley is a knave, Ethan is a knight, Michael is a knight, Chloe is a knight, and Ella is a knight.", "solution_text_format": "(1) Elizabeth is a knight\n(2) Aria is a knight\n(3) Riley is a knave\n(4) Ethan is a knight\n(5) Michael is a knight\n(6) Chloe is a knight\n(7) Ella is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Elizabeth is a knight. No contradiction is found in their claim that If Chloe is a knight then Michael is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that Ethan is a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that Elizabeth is not a knave.", "Assume Michael is a knight. No contradiction is found in their claim that Aria is a knight or Chloe is a knight.", "Assume Aria is a knight. No contradiction is found in their claim that Ella is not a knave.", "Assume Ella is a knight. No contradiction is found in their claim that If Riley is a knight then Riley is a knave.", "Riley cannot be a knight, because this would contradict the claim of their own that Elizabeth is a knave and Ella is a knight.", "Assume Riley is a knave. No contradiction is found in their false claim that Elizabeth is a knave and Ella is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 5), ('telling-truth', 4)), ('not', ('lying', 6)), ('and', ('lying', 0), ('telling-truth', 6)), ('not', ('lying', 0)), ('or', ('telling-truth', 1), ('telling-truth', 5)), ('telling-truth', 3), ('->', ('telling-truth', 2), ('lying', 2)))", "index": 834}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Harper, Elizabeth, Amelia, Samuel, Sofia, Daniel, and Scarlett. Harper expressed that Daniel is a knight if and only if Amelia is a knave. Elizabeth told you that Daniel is not a knight. Amelia noted, \"Sofia is a knight\". Samuel said that Amelia is not a knight. In a statement by Sofia: \"Amelia is a knight or Harper is a knight\". Daniel commented, \"Sofia is a knave or Amelia is a knave\". \"Harper is a knight if and only if Elizabeth is a knight,\" Scarlett mentioned. So who is a knight and who is a knave?", "names": ["Harper", "Elizabeth", "Amelia", "Samuel", "Sofia", "Daniel", "Scarlett"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false, true, false, true], "solution_text": "Harper is a knight, Elizabeth is a knight, Amelia is a knight, Samuel is a knave, Sofia is a knight, Daniel is a knave, and Scarlett is a knight.", "solution_text_format": "(1) Harper is a knight\n(2) Elizabeth is a knight\n(3) Amelia is a knight\n(4) Samuel is a knave\n(5) Sofia is a knight\n(6) Daniel is a knave\n(7) Scarlett is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Harper is a knight. No contradiction is found in their claim that Daniel is a knight if and only if Amelia is a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that Sofia is a knave or Amelia is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that Amelia is a knight or Harper is a knight.", "Amelia cannot be a knight, because this would contradict the claim of Harper that Daniel is a knight if and only if Amelia is a knave.", "Amelia cannot be a knave, because this would contradict the false claim of their own that Sofia is a knight.", "We have exhausted all possibilities for Amelia, so let us go back and reconsider Sofia.", "Sofia cannot be a knave, because this would contradict the false claim of their own that Amelia is a knight or Harper is a knight.", "We have exhausted all possibilities for Sofia, so let us go back and reconsider Daniel.", "Assume Daniel is a knave. No contradiction is found in their false claim that Sofia is a knave or Amelia is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that Amelia is a knight or Harper is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that Sofia is a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Daniel is not a knight.", "Samuel cannot be a knight, because this would contradict the claim of their own that Amelia is not a knight.", "Assume Samuel is a knave. No contradiction is found in their false claim that Amelia is not a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that Harper is a knight if and only if Elizabeth is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 5), ('lying', 2)), ('not', ('telling-truth', 5)), ('telling-truth', 4), ('not', ('telling-truth', 2)), ('or', ('telling-truth', 2), ('telling-truth', 0)), ('or', ('lying', 4), ('lying', 2)), ('<=>', ('telling-truth', 0), ('telling-truth', 1)))", "index": 835}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Sofia, Jack, Daniel, Jacob, Noah, James, and Aiden. \"Jack is a knight and Jacob is a knave,\" Sofia declared. Jack commented, \"James is a knight or James is a knave\". According to Daniel, \"Aiden is a knave and Noah is a knight\". Jacob was heard saying, \"Jacob is a knight if and only if Noah is a knave\". \"James is a knight\" - Noah. As James put it, \"Jacob is a knight\". \"Jacob is a knave\" - Aiden. So who is a knight and who is a knave?", "names": ["Sofia", "Jack", "Daniel", "Jacob", "Noah", "James", "Aiden"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false, false, false, true], "solution_text": "Sofia is a knight, Jack is a knight, Daniel is a knave, Jacob is a knave, Noah is a knave, James is a knave, and Aiden is a knight.", "solution_text_format": "(1) Sofia is a knight\n(2) Jack is a knight\n(3) Daniel is a knave\n(4) Jacob is a knave\n(5) Noah is a knave\n(6) James is a knave\n(7) Aiden is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sofia is a knight. No contradiction is found in their claim that Jack is a knight and Jacob is a knave.", "Assume Jack is a knight. No contradiction is found in their claim that James is a knight or James is a knave.", "Assume James is a knight. No contradiction is found in their claim that Jacob is a knight.", "Jacob cannot be a knight, because this would contradict the claim of Sofia that Jack is a knight and Jacob is a knave.", "Jacob cannot be a knave, because this would contradict the claim of James that Jacob is a knight.", "We have exhausted all possibilities for Jacob, so let us go back and reconsider James.", "Assume James is a knave. No contradiction is found in their false claim that Jacob is a knight.", "Jacob cannot be a knight, because this would contradict the claim of Sofia that Jack is a knight and Jacob is a knave.", "Assume Jacob is a knave. No contradiction is found in their false claim that Jacob is a knight if and only if Noah is a knave.", "Noah cannot be a knight, because this would contradict the false claim of Jacob that Jacob is a knight if and only if Noah is a knave.", "Assume Noah is a knave. No contradiction is found in their false claim that James is a knight.", "Daniel cannot be a knight, because this would contradict the claim of their own that Aiden is a knave and Noah is a knight.", "Assume Daniel is a knave. No contradiction is found in their false claim that Aiden is a knave and Noah is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that Jacob is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('lying', 3)), ('or', ('telling-truth', 5), ('lying', 5)), ('and', ('lying', 6), ('telling-truth', 4)), ('<=>', ('telling-truth', 3), ('lying', 4)), ('telling-truth', 5), ('telling-truth', 3), ('lying', 3))", "index": 836}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Alexander, Charlotte, Samuel, Emily, Aria, Amelia, and Sofia. According to Alexander, \"Charlotte is a knight if and only if Sofia is a knight\". According to Charlotte, \"Sofia is a knave or Aria is a knight\". Samuel was heard saying, \"If Alexander is a knight then Sofia is a knight\". Emily expressed that Sofia is a knight or Charlotte is a knave. Aria commented, \"Amelia is a knight if and only if Amelia is a knave\". In Amelia's words: \"Charlotte is a knave or Amelia is a knight\". According to Sofia, \"If Alexander is a knight then Samuel is a knight\". So who is a knight and who is a knave?", "names": ["Alexander", "Charlotte", "Samuel", "Emily", "Aria", "Amelia", "Sofia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true, false, true, true], "solution_text": "Alexander is a knave, Charlotte is a knave, Samuel is a knight, Emily is a knight, Aria is a knave, Amelia is a knight, and Sofia is a knight.", "solution_text_format": "(1) Alexander is a knave\n(2) Charlotte is a knave\n(3) Samuel is a knight\n(4) Emily is a knight\n(5) Aria is a knave\n(6) Amelia is a knight\n(7) Sofia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Alexander is a knight. No contradiction is found in their claim that Charlotte is a knight if and only if Sofia is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that Sofia is a knave or Aria is a knight.", "Assume Sofia is a knight. No contradiction is found in their claim that If Alexander is a knight then Samuel is a knight.", "Assume Samuel is a knight. No contradiction is found in their claim that If Alexander is a knight then Sofia is a knight.", "Aria cannot be a knight, because this would contradict the claim of their own that Amelia is a knight if and only if Amelia is a knave.", "Aria cannot be a knave, because this would contradict the claim of Charlotte that Sofia is a knave or Aria is a knight.", "We have exhausted all possibilities for Aria, so let us go back and reconsider Samuel.", "Samuel cannot be a knave, because this would contradict the false claim of their own that If Alexander is a knight then Sofia is a knight.", "We have exhausted all possibilities for Samuel, so let us go back and reconsider Sofia.", "Sofia cannot be a knave, because this would contradict the claim of Alexander that Charlotte is a knight if and only if Sofia is a knight.", "We have exhausted all possibilities for Sofia, so let us go back and reconsider Charlotte.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Sofia is a knave or Aria is a knight.", "Sofia cannot be a knight, because this would contradict the claim of Alexander that Charlotte is a knight if and only if Sofia is a knight.", "Sofia cannot be a knave, because this would contradict the false claim of Charlotte that Sofia is a knave or Aria is a knight.", "We have exhausted all possibilities for Sofia and Charlotte, so let us go back and reconsider Alexander.", "Assume Alexander is a knave. No contradiction is found in their false claim that Charlotte is a knight if and only if Sofia is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that Sofia is a knave or Aria is a knight.", "Sofia cannot be a knight, because this would contradict the false claim of Alexander that Charlotte is a knight if and only if Sofia is a knight.", "Sofia cannot be a knave, because this would contradict the false claim of their own that If Alexander is a knight then Samuel is a knight.", "We have exhausted all possibilities for Sofia, so let us go back and reconsider Charlotte.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Sofia is a knave or Aria is a knight.", "Assume Sofia is a knight. No contradiction is found in their claim that If Alexander is a knight then Samuel is a knight.", "Assume Samuel is a knight. No contradiction is found in their claim that If Alexander is a knight then Sofia is a knight.", "Aria cannot be a knight, because this would contradict the false claim of Charlotte that Sofia is a knave or Aria is a knight.", "Assume Aria is a knave. No contradiction is found in their false claim that Amelia is a knight if and only if Amelia is a knave.", "Assume Amelia is a knight. No contradiction is found in their claim that Charlotte is a knave or Amelia is a knight.", "Assume Emily is a knight. No contradiction is found in their claim that Sofia is a knight or Charlotte is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('telling-truth', 6)), ('or', ('lying', 6), ('telling-truth', 4)), ('->', ('telling-truth', 0), ('telling-truth', 6)), ('or', ('telling-truth', 6), ('lying', 1)), ('<=>', ('telling-truth', 5), ('lying', 5)), ('or', ('lying', 1), ('telling-truth', 5)), ('->', ('telling-truth', 0), ('telling-truth', 2)))", "index": 837}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Scarlett, Ella, Benjamin, Sebastian, Oliver, Penelope, and Olivia. \"Sebastian is a knight\" - Scarlett. In a statement by Ella: \"If Sebastian is a knave then Benjamin is a knave\". \"Sebastian is a knave,\" Benjamin claimed. Sebastian noted, \"Olivia is a knave and Scarlett is a knave\". \"Sebastian is a knave and Sebastian is a knight\" - Oliver. Penelope noted, \"If Scarlett is a knave then Sebastian is a knave\". Olivia said, \"Penelope is a knight if and only if Sebastian is a knave.\" So who is a knight and who is a knave?", "names": ["Scarlett", "Ella", "Benjamin", "Sebastian", "Oliver", "Penelope", "Olivia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false, false, true, true], "solution_text": "Scarlett is a knave, Ella is a knave, Benjamin is a knight, Sebastian is a knave, Oliver is a knave, Penelope is a knight, and Olivia is a knight.", "solution_text_format": "(1) Scarlett is a knave\n(2) Ella is a knave\n(3) Benjamin is a knight\n(4) Sebastian is a knave\n(5) Oliver is a knave\n(6) Penelope is a knight\n(7) Olivia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Scarlett is a knight. No contradiction is found in their claim that Sebastian is a knight.", "Sebastian cannot be a knight, because this would contradict the claim of their own that Olivia is a knave and Scarlett is a knave.", "Sebastian cannot be a knave, because this would contradict the claim of Scarlett that Sebastian is a knight.", "We have exhausted all possibilities for Sebastian, so let us go back and reconsider Scarlett.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Sebastian is a knight.", "Sebastian cannot be a knight, because this would contradict the false claim of Scarlett that Sebastian is a knight.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Olivia is a knave and Scarlett is a knave.", "Assume Olivia is a knight. No contradiction is found in their claim that Penelope is a knight if and only if Sebastian is a knave.", "Assume Penelope is a knight. No contradiction is found in their claim that If Scarlett is a knave then Sebastian is a knave.", "Assume Ella is a knight. No contradiction is found in their claim that If Sebastian is a knave then Benjamin is a knave.", "Benjamin cannot be a knight, because this would contradict the claim of Ella that If Sebastian is a knave then Benjamin is a knave.", "Benjamin cannot be a knave, because this would contradict the false claim of their own that Sebastian is a knave.", "We have exhausted all possibilities for Benjamin, so let us go back and reconsider Ella.", "Assume Ella is a knave. No contradiction is found in their false claim that If Sebastian is a knave then Benjamin is a knave.", "Assume Benjamin is a knight. No contradiction is found in their claim that Sebastian is a knave.", "Oliver cannot be a knight, because this would contradict the claim of their own that Sebastian is a knave and Sebastian is a knight.", "Assume Oliver is a knave. No contradiction is found in their false claim that Sebastian is a knave and Sebastian is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 3), ('->', ('lying', 3), ('lying', 2)), ('lying', 3), ('and', ('lying', 6), ('lying', 0)), ('and', ('lying', 3), ('telling-truth', 3)), ('->', ('lying', 0), ('lying', 3)), ('<=>', ('telling-truth', 5), ('lying', 3)))", "index": 838}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Michael, Jacob, James, Luke, Owen, Riley, and Amelia. Michael expressed that Riley is a knave if and only if Jacob is a knave. \"If Amelia is a knave then Luke is a knave,\" Jacob mentioned. James stated, \"Riley is a knave and Amelia is a knight\". Luke noted, \"Riley is a knave and James is a knave\". Owen was heard saying, \"Luke is a knave or James is a knight\". \"Luke is a knave if and only if Jacob is a knight\" - Riley. Amelia commented, \"Luke is a knave\". So who is a knight and who is a knave?", "names": ["Michael", "Jacob", "James", "Luke", "Owen", "Riley", "Amelia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false, true, true, true], "solution_text": "Michael is a knight, Jacob is a knight, James is a knave, Luke is a knave, Owen is a knight, Riley is a knight, and Amelia is a knight.", "solution_text_format": "(1) Michael is a knight\n(2) Jacob is a knight\n(3) James is a knave\n(4) Luke is a knave\n(5) Owen is a knight\n(6) Riley is a knight\n(7) Amelia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Michael is a knight. No contradiction is found in their claim that Riley is a knave if and only if Jacob is a knave.", "Assume Riley is a knight. No contradiction is found in their claim that Luke is a knave if and only if Jacob is a knight.", "Luke cannot be a knight, because this would contradict the claim of their own that Riley is a knave and James is a knave.", "Assume Luke is a knave. No contradiction is found in their false claim that Riley is a knave and James is a knave.", "James cannot be a knight, because this would contradict the claim of their own that Riley is a knave and Amelia is a knight.", "Assume James is a knave. No contradiction is found in their false claim that Riley is a knave and Amelia is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that Luke is a knave.", "Assume Jacob is a knight. No contradiction is found in their claim that If Amelia is a knave then Luke is a knave.", "Assume Owen is a knight. No contradiction is found in their claim that Luke is a knave or James is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 5), ('lying', 1)), ('->', ('lying', 6), ('lying', 3)), ('and', ('lying', 5), ('telling-truth', 6)), ('and', ('lying', 5), ('lying', 2)), ('or', ('lying', 3), ('telling-truth', 2)), ('<=>', ('lying', 3), ('telling-truth', 1)), ('lying', 3))", "index": 839}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Mason, William, James, Henry, Riley, Matthew, and Victoria. \"Matthew is a knight if and only if Mason is a knight,\" Mason mentioned. According to William, \"Mason is a knave\". In James's words: \"If Henry is a knave then Matthew is a knight\". According to Henry, \"Riley is a knave and Victoria is a knight\". \"Mason is a knave and William is a knight,\" Riley mentioned. According to Matthew, \"William is not a knight\". Victoria commented, \"If William is a knight then Riley is a knave\". So who is a knight and who is a knave?", "names": ["Mason", "William", "James", "Henry", "Riley", "Matthew", "Victoria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, false, true, true], "solution_text": "Mason is a knight, William is a knave, James is a knight, Henry is a knight, Riley is a knave, Matthew is a knight, and Victoria is a knight.", "solution_text_format": "(1) Mason is a knight\n(2) William is a knave\n(3) James is a knight\n(4) Henry is a knight\n(5) Riley is a knave\n(6) Matthew is a knight\n(7) Victoria is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Mason is a knight. No contradiction is found in their claim that Matthew is a knight if and only if Mason is a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that William is not a knight.", "William cannot be a knight, because this would contradict the claim of their own that Mason is a knave.", "Assume William is a knave. No contradiction is found in their false claim that Mason is a knave.", "Assume James is a knight. No contradiction is found in their claim that If Henry is a knave then Matthew is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that Riley is a knave and Victoria is a knight.", "Riley cannot be a knight, because this would contradict the claim of Henry that Riley is a knave and Victoria is a knight.", "Assume Riley is a knave. No contradiction is found in their false claim that Mason is a knave and William is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that If William is a knight then Riley is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 5), ('telling-truth', 0)), ('lying', 0), ('->', ('lying', 3), ('telling-truth', 5)), ('and', ('lying', 4), ('telling-truth', 6)), ('and', ('lying', 0), ('telling-truth', 1)), ('not', ('telling-truth', 1)), ('->', ('telling-truth', 1), ('lying', 4)))", "index": 840}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Jackson, Henry, Emma, Jacob, Luke, Logan, and Charlotte. \"Jacob is a knave,\" Jackson declared. Henry expressed that Charlotte is not a knight. In a statement by Emma: \"Jacob is a knave\". Jacob said that Luke is a knave if and only if Emma is a knave. Luke said, \"If Charlotte is a knave then Jacob is a knight.\" Logan said, \"If Jackson is a knave then Henry is a knight.\" Charlotte commented, \"Jackson is a knight if and only if Luke is a knight\". So who is a knight and who is a knave?", "names": ["Jackson", "Henry", "Emma", "Jacob", "Luke", "Logan", "Charlotte"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false, false, true, false], "solution_text": "Jackson is a knight, Henry is a knight, Emma is a knight, Jacob is a knave, Luke is a knave, Logan is a knight, and Charlotte is a knave.", "solution_text_format": "(1) Jackson is a knight\n(2) Henry is a knight\n(3) Emma is a knight\n(4) Jacob is a knave\n(5) Luke is a knave\n(6) Logan is a knight\n(7) Charlotte is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jackson is a knight. No contradiction is found in their claim that Jacob is a knave.", "Jacob cannot be a knight, because this would contradict the claim of Jackson that Jacob is a knave.", "Assume Jacob is a knave. No contradiction is found in their false claim that Luke is a knave if and only if Emma is a knave.", "Assume Luke is a knight. No contradiction is found in their claim that If Charlotte is a knave then Jacob is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that Jackson is a knight if and only if Luke is a knight.", "Emma cannot be a knight, because this would contradict the false claim of Jacob that Luke is a knave if and only if Emma is a knave.", "Emma cannot be a knave, because this would contradict the false claim of their own that Jacob is a knave.", "We have exhausted all possibilities for Emma, so let us go back and reconsider Charlotte.", "Charlotte cannot be a knave, because this would contradict the claim of Luke that If Charlotte is a knave then Jacob is a knight.", "We have exhausted all possibilities for Charlotte, so let us go back and reconsider Luke.", "Assume Luke is a knave. No contradiction is found in their false claim that If Charlotte is a knave then Jacob is a knight.", "Charlotte cannot be a knight, because this would contradict the false claim of Luke that If Charlotte is a knave then Jacob is a knight.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Jackson is a knight if and only if Luke is a knight.", "Assume Emma is a knight. No contradiction is found in their claim that Jacob is a knave.", "Assume Henry is a knight. No contradiction is found in their claim that Charlotte is not a knight.", "Assume Logan is a knight. No contradiction is found in their claim that If Jackson is a knave then Henry is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 3), ('not', ('telling-truth', 6)), ('lying', 3), ('<=>', ('lying', 4), ('lying', 2)), ('->', ('lying', 6), ('telling-truth', 3)), ('->', ('lying', 0), ('telling-truth', 1)), ('<=>', ('telling-truth', 0), ('telling-truth', 4)))", "index": 841}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Amelia, Scarlett, Daniel, Sophia, Lily, Elizabeth, and Lucas. \"Scarlett is a knave or Elizabeth is a knave,\" Amelia mentioned. Scarlett told you that Amelia is a knave and Elizabeth is a knave. Daniel said, \"Lucas is a knave and Elizabeth is a knave.\" Sophia stated, \"Scarlett is a knave if and only if Lucas is a knave\". Lily told you that If Elizabeth is a knight then Sophia is a knave. Elizabeth asserted: \"Lucas is a knave\". Lucas said, \"Daniel is a knave.\" So who is a knight and who is a knave?", "names": ["Amelia", "Scarlett", "Daniel", "Sophia", "Lily", "Elizabeth", "Lucas"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false, true, false, true], "solution_text": "Amelia is a knight, Scarlett is a knave, Daniel is a knave, Sophia is a knave, Lily is a knight, Elizabeth is a knave, and Lucas is a knight.", "solution_text_format": "(1) Amelia is a knight\n(2) Scarlett is a knave\n(3) Daniel is a knave\n(4) Sophia is a knave\n(5) Lily is a knight\n(6) Elizabeth is a knave\n(7) Lucas is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Amelia is a knight. No contradiction is found in their claim that Scarlett is a knave or Elizabeth is a knave.", "Scarlett cannot be a knight, because this would contradict the claim of their own that Amelia is a knave and Elizabeth is a knave.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Amelia is a knave and Elizabeth is a knave.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Lucas is a knave.", "Lucas cannot be a knight, because this would contradict the claim of Elizabeth that Lucas is a knave.", "Assume Lucas is a knave. No contradiction is found in their false claim that Daniel is a knave.", "Daniel cannot be a knight, because this would contradict the claim of their own that Lucas is a knave and Elizabeth is a knave.", "Daniel cannot be a knave, because this would contradict the false claim of Lucas that Daniel is a knave.", "We have exhausted all possibilities for Daniel and Lucas, so let us go back and reconsider Elizabeth.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Lucas is a knave.", "Assume Lucas is a knight. No contradiction is found in their claim that Daniel is a knave.", "Daniel cannot be a knight, because this would contradict the claim of their own that Lucas is a knave and Elizabeth is a knave.", "Assume Daniel is a knave. No contradiction is found in their false claim that Lucas is a knave and Elizabeth is a knave.", "Sophia cannot be a knight, because this would contradict the claim of their own that Scarlett is a knave if and only if Lucas is a knave.", "Assume Sophia is a knave. No contradiction is found in their false claim that Scarlett is a knave if and only if Lucas is a knave.", "Assume Lily is a knight. No contradiction is found in their claim that If Elizabeth is a knight then Sophia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('lying', 5)), ('and', ('lying', 0), ('lying', 5)), ('and', ('lying', 6), ('lying', 5)), ('<=>', ('lying', 1), ('lying', 6)), ('->', ('telling-truth', 5), ('lying', 3)), ('lying', 6), ('lying', 2))", "index": 842}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Matthew, Grace, James, Scarlett, Avery, Penelope, and Lily. Matthew remarked, \"Grace is a knave\". Grace commented, \"Matthew is a knave and Matthew is a knight\". James said, \"Avery is a knight or Avery is a knave.\" Scarlett commented, \"Avery is a knight or Penelope is a knave\". Avery said that Scarlett is a knave if and only if Matthew is a knight. Penelope expressed that Scarlett is not a knight. Lily stated, \"If Penelope is a knave then Grace is a knave\". So who is a knight and who is a knave?", "names": ["Matthew", "Grace", "James", "Scarlett", "Avery", "Penelope", "Lily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, false, false, true], "solution_text": "Matthew is a knight, Grace is a knave, James is a knight, Scarlett is a knight, Avery is a knave, Penelope is a knave, and Lily is a knight.", "solution_text_format": "(1) Matthew is a knight\n(2) Grace is a knave\n(3) James is a knight\n(4) Scarlett is a knight\n(5) Avery is a knave\n(6) Penelope is a knave\n(7) Lily is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Matthew is a knight. No contradiction is found in their claim that Grace is a knave.", "Grace cannot be a knight, because this would contradict the claim of Matthew that Grace is a knave.", "Assume Grace is a knave. No contradiction is found in their false claim that Matthew is a knave and Matthew is a knight.", "Assume James is a knight. No contradiction is found in their claim that Avery is a knight or Avery is a knave.", "Assume Avery is a knight. No contradiction is found in their claim that Scarlett is a knave if and only if Matthew is a knight.", "Scarlett cannot be a knight, because this would contradict the claim of Avery that Scarlett is a knave if and only if Matthew is a knight.", "Scarlett cannot be a knave, because this would contradict the false claim of their own that Avery is a knight or Penelope is a knave.", "We have exhausted all possibilities for Scarlett, so let us go back and reconsider Avery.", "Assume Avery is a knave. No contradiction is found in their false claim that Scarlett is a knave if and only if Matthew is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that Avery is a knight or Penelope is a knave.", "Penelope cannot be a knight, because this would contradict the claim of Scarlett that Avery is a knight or Penelope is a knave.", "Assume Penelope is a knave. No contradiction is found in their false claim that Scarlett is not a knight.", "Assume Lily is a knight. No contradiction is found in their claim that If Penelope is a knave then Grace is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('and', ('lying', 0), ('telling-truth', 0)), ('or', ('telling-truth', 4), ('lying', 4)), ('or', ('telling-truth', 4), ('lying', 5)), ('<=>', ('lying', 3), ('telling-truth', 0)), ('not', ('telling-truth', 3)), ('->', ('lying', 5), ('lying', 1)))", "index": 843}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Sofia, Oliver, Amelia, Isabella, Ella, Emily, and Chloe. In Sofia's words: \"Oliver is a knave and Isabella is a knight\". Oliver told you that Isabella is a knave. In Amelia's words: \"Ella is a knave and Oliver is a knave\". Isabella commented, \"If Ella is a knave then Amelia is a knave\". \"If Oliver is a knight then Chloe is a knight,\" Ella claimed. \"Oliver is a knave,\" Emily claimed. Chloe noted, \"Amelia is a knight\". So who is a knight and who is a knave?", "names": ["Sofia", "Oliver", "Amelia", "Isabella", "Ella", "Emily", "Chloe"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, true, true, false], "solution_text": "Sofia is a knight, Oliver is a knave, Amelia is a knave, Isabella is a knight, Ella is a knight, Emily is a knight, and Chloe is a knave.", "solution_text_format": "(1) Sofia is a knight\n(2) Oliver is a knave\n(3) Amelia is a knave\n(4) Isabella is a knight\n(5) Ella is a knight\n(6) Emily is a knight\n(7) Chloe is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sofia is a knight. No contradiction is found in their claim that Oliver is a knave and Isabella is a knight.", "Oliver cannot be a knight, because this would contradict the claim of Sofia that Oliver is a knave and Isabella is a knight.", "Assume Oliver is a knave. No contradiction is found in their false claim that Isabella is a knave.", "Assume Isabella is a knight. No contradiction is found in their claim that If Ella is a knave then Amelia is a knave.", "Assume Ella is a knight. No contradiction is found in their claim that If Oliver is a knight then Chloe is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that Amelia is a knight.", "Amelia cannot be a knight, because this would contradict the claim of their own that Ella is a knave and Oliver is a knave.", "Amelia cannot be a knave, because this would contradict the claim of Chloe that Amelia is a knight.", "We have exhausted all possibilities for Amelia, so let us go back and reconsider Chloe.", "Assume Chloe is a knave. No contradiction is found in their false claim that Amelia is a knight.", "Amelia cannot be a knight, because this would contradict the claim of their own that Ella is a knave and Oliver is a knave.", "Assume Amelia is a knave. No contradiction is found in their false claim that Ella is a knave and Oliver is a knave.", "Assume Emily is a knight. No contradiction is found in their claim that Oliver is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('telling-truth', 3)), ('lying', 3), ('and', ('lying', 4), ('lying', 1)), ('->', ('lying', 4), ('lying', 2)), ('->', ('telling-truth', 1), ('telling-truth', 6)), ('lying', 1), ('telling-truth', 2))", "index": 844}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Sofia, Elizabeth, Emma, Matthew, Ethan, Avery, and Samuel. Sofia was heard saying, \"Matthew is a knight and Elizabeth is a knave\". \"If Elizabeth is a knight then Ethan is a knight,\" Elizabeth mentioned. \"Samuel is a knave,\" Emma claimed. Matthew noted, \"If Samuel is a knave then Matthew is a knight\". \"Elizabeth is a knight or Sofia is a knave,\" Ethan declared. Avery stated, \"Samuel is a knight\". \"Elizabeth is a knight if and only if Ethan is a knight,\" Samuel mentioned. So who is a knight and who is a knave?", "names": ["Sofia", "Elizabeth", "Emma", "Matthew", "Ethan", "Avery", "Samuel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true, true, true, true], "solution_text": "Sofia is a knave, Elizabeth is a knight, Emma is a knave, Matthew is a knight, Ethan is a knight, Avery is a knight, and Samuel is a knight.", "solution_text_format": "(1) Sofia is a knave\n(2) Elizabeth is a knight\n(3) Emma is a knave\n(4) Matthew is a knight\n(5) Ethan is a knight\n(6) Avery is a knight\n(7) Samuel is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sofia is a knight. No contradiction is found in their claim that Matthew is a knight and Elizabeth is a knave.", "Assume Matthew is a knight. No contradiction is found in their claim that If Samuel is a knave then Matthew is a knight.", "Assume Samuel is a knight. No contradiction is found in their claim that Elizabeth is a knight if and only if Ethan is a knight.", "Elizabeth cannot be a knight, because this would contradict the claim of Sofia that Matthew is a knight and Elizabeth is a knave.", "Elizabeth cannot be a knave, because this would contradict the false claim of their own that If Elizabeth is a knight then Ethan is a knight.", "We have exhausted all possibilities for Elizabeth, so let us go back and reconsider Samuel.", "Assume Samuel is a knave. No contradiction is found in their false claim that Elizabeth is a knight if and only if Ethan is a knight.", "Elizabeth cannot be a knight, because this would contradict the claim of Sofia that Matthew is a knight and Elizabeth is a knave.", "Elizabeth cannot be a knave, because this would contradict the false claim of their own that If Elizabeth is a knight then Ethan is a knight.", "We have exhausted all possibilities for Elizabeth and Samuel, so let us go back and reconsider Matthew.", "Matthew cannot be a knave, because this would contradict the claim of Sofia that Matthew is a knight and Elizabeth is a knave.", "We have exhausted all possibilities for Matthew, so let us go back and reconsider Sofia.", "Assume Sofia is a knave. No contradiction is found in their false claim that Matthew is a knight and Elizabeth is a knave.", "Assume Matthew is a knight. No contradiction is found in their claim that If Samuel is a knave then Matthew is a knight.", "Assume Samuel is a knight. No contradiction is found in their claim that Elizabeth is a knight if and only if Ethan is a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that If Elizabeth is a knight then Ethan is a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that Elizabeth is a knight or Sofia is a knave.", "Emma cannot be a knight, because this would contradict the claim of their own that Samuel is a knave.", "Assume Emma is a knave. No contradiction is found in their false claim that Samuel is a knave.", "Assume Avery is a knight. No contradiction is found in their claim that Samuel is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 3), ('lying', 1)), ('->', ('telling-truth', 1), ('telling-truth', 4)), ('lying', 6), ('->', ('lying', 6), ('telling-truth', 3)), ('or', ('telling-truth', 1), ('lying', 0)), ('telling-truth', 6), ('<=>', ('telling-truth', 1), ('telling-truth', 4)))", "index": 845}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Victoria, Penelope, Ava, Joseph, Elizabeth, Olivia, and Emily. Victoria said that Joseph is a knave. Penelope was heard saying, \"If Victoria is a knight then Olivia is a knave\". Ava noted, \"Olivia is not a knave\". Joseph expressed that Penelope is a knight if and only if Joseph is a knight. \"Emily is a knave,\" Elizabeth mentioned. In Olivia's words: \"If Joseph is a knight then Elizabeth is a knight\". \"Victoria is a knave,\" Emily claimed. So who is a knight and who is a knave?", "names": ["Victoria", "Penelope", "Ava", "Joseph", "Elizabeth", "Olivia", "Emily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true, false, false, true], "solution_text": "Victoria is a knave, Penelope is a knight, Ava is a knave, Joseph is a knight, Elizabeth is a knave, Olivia is a knave, and Emily is a knight.", "solution_text_format": "(1) Victoria is a knave\n(2) Penelope is a knight\n(3) Ava is a knave\n(4) Joseph is a knight\n(5) Elizabeth is a knave\n(6) Olivia is a knave\n(7) Emily is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Victoria is a knight. No contradiction is found in their claim that Joseph is a knave.", "Joseph cannot be a knight, because this would contradict the claim of Victoria that Joseph is a knave.", "Assume Joseph is a knave. No contradiction is found in their false claim that Penelope is a knight if and only if Joseph is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that If Victoria is a knight then Olivia is a knave.", "Olivia cannot be a knight, because this would contradict the claim of Penelope that If Victoria is a knight then Olivia is a knave.", "Olivia cannot be a knave, because this would contradict the false claim of their own that If Joseph is a knight then Elizabeth is a knight.", "We have exhausted all possibilities for Olivia, so let us go back and reconsider Penelope.", "Penelope cannot be a knave, because this would contradict the false claim of Joseph that Penelope is a knight if and only if Joseph is a knight.", "We have exhausted all possibilities for Penelope and Joseph, so let us go back and reconsider Victoria.", "Assume Victoria is a knave. No contradiction is found in their false claim that Joseph is a knave.", "Assume Joseph is a knight. No contradiction is found in their claim that Penelope is a knight if and only if Joseph is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that If Victoria is a knight then Olivia is a knave.", "Assume Olivia is a knight. No contradiction is found in their claim that If Joseph is a knight then Elizabeth is a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Emily is a knave.", "Emily cannot be a knight, because this would contradict the claim of Elizabeth that Emily is a knave.", "Emily cannot be a knave, because this would contradict the false claim of their own that Victoria is a knave.", "We have exhausted all possibilities for Emily, so let us go back and reconsider Elizabeth.", "Elizabeth cannot be a knave, because this would contradict the claim of Olivia that If Joseph is a knight then Elizabeth is a knight.", "We have exhausted all possibilities for Elizabeth, so let us go back and reconsider Olivia.", "Assume Olivia is a knave. No contradiction is found in their false claim that If Joseph is a knight then Elizabeth is a knight.", "Elizabeth cannot be a knight, because this would contradict the false claim of Olivia that If Joseph is a knight then Elizabeth is a knight.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Emily is a knave.", "Assume Emily is a knight. No contradiction is found in their claim that Victoria is a knave.", "Ava cannot be a knight, because this would contradict the claim of their own that Olivia is not a knave.", "Assume Ava is a knave. No contradiction is found in their false claim that Olivia is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 3), ('->', ('telling-truth', 0), ('lying', 5)), ('not', ('lying', 5)), ('<=>', ('telling-truth', 1), ('telling-truth', 3)), ('lying', 6), ('->', ('telling-truth', 3), ('telling-truth', 4)), ('lying', 0))", "index": 846}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Harper, Logan, Alexander, Sebastian, Sofia, James, and Elizabeth. \"James is a knight or Sofia is a knave\" - Harper. \"Alexander is a knave\" - Logan. Alexander said that Harper is a knave or Sofia is a knight. \"Elizabeth is not a knight\" - Sebastian. Sofia remarked, \"James is a knight if and only if Sofia is a knight\". James told you that If Logan is a knight then Sofia is a knight. Elizabeth remarked, \"Harper is a knight\". So who is a knight and who is a knave?", "names": ["Harper", "Logan", "Alexander", "Sebastian", "Sofia", "James", "Elizabeth"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false, true, true, true], "solution_text": "Harper is a knight, Logan is a knave, Alexander is a knight, Sebastian is a knave, Sofia is a knight, James is a knight, and Elizabeth is a knight.", "solution_text_format": "(1) Harper is a knight\n(2) Logan is a knave\n(3) Alexander is a knight\n(4) Sebastian is a knave\n(5) Sofia is a knight\n(6) James is a knight\n(7) Elizabeth is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Harper is a knight. No contradiction is found in their claim that James is a knight or Sofia is a knave.", "Assume James is a knight. No contradiction is found in their claim that If Logan is a knight then Sofia is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that Alexander is a knave.", "Alexander cannot be a knight, because this would contradict the claim of Logan that Alexander is a knave.", "Assume Alexander is a knave. No contradiction is found in their false claim that Harper is a knave or Sofia is a knight.", "Sofia cannot be a knight, because this would contradict the false claim of Alexander that Harper is a knave or Sofia is a knight.", "Sofia cannot be a knave, because this would contradict the claim of James that If Logan is a knight then Sofia is a knight.", "We have exhausted all possibilities for Sofia and Alexander, so let us go back and reconsider Logan.", "Assume Logan is a knave. No contradiction is found in their false claim that Alexander is a knave.", "Assume Alexander is a knight. No contradiction is found in their claim that Harper is a knave or Sofia is a knight.", "Assume Sofia is a knight. No contradiction is found in their claim that James is a knight if and only if Sofia is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Elizabeth is not a knight.", "Elizabeth cannot be a knight, because this would contradict the claim of Sebastian that Elizabeth is not a knight.", "Elizabeth cannot be a knave, because this would contradict the false claim of their own that Harper is a knight.", "We have exhausted all possibilities for Elizabeth, so let us go back and reconsider Sebastian.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Elizabeth is not a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Harper is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 5), ('lying', 4)), ('lying', 2), ('or', ('lying', 0), ('telling-truth', 4)), ('not', ('telling-truth', 6)), ('<=>', ('telling-truth', 5), ('telling-truth', 4)), ('->', ('telling-truth', 1), ('telling-truth', 4)), ('telling-truth', 0))", "index": 847}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Emma, Jacob, Michael, Logan, Mia, Abigail, and Olivia. \"Michael is a knave if and only if Abigail is a knight,\" Emma claimed. Jacob stated, \"If Michael is a knave then Mia is a knave\". As Michael put it, \"Jacob is not a knave\". Logan noted, \"If Olivia is a knight then Emma is a knight\". \"Emma is a knave and Michael is a knight,\" Mia declared. \"If Jacob is a knave then Michael is a knave\" - Abigail. Olivia asserted: \"Mia is a knight if and only if Abigail is a knave\". So who is a knight and who is a knave?", "names": ["Emma", "Jacob", "Michael", "Logan", "Mia", "Abigail", "Olivia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, true, true, false], "solution_text": "Emma is a knave, Jacob is a knight, Michael is a knight, Logan is a knight, Mia is a knight, Abigail is a knight, and Olivia is a knave.", "solution_text_format": "(1) Emma is a knave\n(2) Jacob is a knight\n(3) Michael is a knight\n(4) Logan is a knight\n(5) Mia is a knight\n(6) Abigail is a knight\n(7) Olivia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Emma is a knight. No contradiction is found in their claim that Michael is a knave if and only if Abigail is a knight.", "Assume Michael is a knight. No contradiction is found in their claim that Jacob is not a knave.", "Assume Jacob is a knight. No contradiction is found in their claim that If Michael is a knave then Mia is a knave.", "Mia cannot be a knight, because this would contradict the claim of their own that Emma is a knave and Michael is a knight.", "Assume Mia is a knave. No contradiction is found in their false claim that Emma is a knave and Michael is a knight.", "Abigail cannot be a knight, because this would contradict the claim of Emma that Michael is a knave if and only if Abigail is a knight.", "Abigail cannot be a knave, because this would contradict the false claim of their own that If Jacob is a knave then Michael is a knave.", "We have exhausted all possibilities for Abigail and Mia, so let us go back and reconsider Jacob.", "Jacob cannot be a knave, because this would contradict the false claim of their own that If Michael is a knave then Mia is a knave.", "We have exhausted all possibilities for Jacob, so let us go back and reconsider Michael.", "Assume Michael is a knave. No contradiction is found in their false claim that Jacob is not a knave.", "Jacob cannot be a knight, because this would contradict the false claim of Michael that Jacob is not a knave.", "Assume Jacob is a knave. No contradiction is found in their false claim that If Michael is a knave then Mia is a knave.", "Mia cannot be a knight, because this would contradict the claim of their own that Emma is a knave and Michael is a knight.", "Mia cannot be a knave, because this would contradict the false claim of Jacob that If Michael is a knave then Mia is a knave.", "We have exhausted all possibilities for Mia, Jacob, and Michael, so let us go back and reconsider Emma.", "Assume Emma is a knave. No contradiction is found in their false claim that Michael is a knave if and only if Abigail is a knight.", "Assume Michael is a knight. No contradiction is found in their claim that Jacob is not a knave.", "Assume Jacob is a knight. No contradiction is found in their claim that If Michael is a knave then Mia is a knave.", "Assume Mia is a knight. No contradiction is found in their claim that Emma is a knave and Michael is a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that If Jacob is a knave then Michael is a knave.", "Assume Logan is a knight. No contradiction is found in their claim that If Olivia is a knight then Emma is a knight.", "Olivia cannot be a knight, because this would contradict the claim of Logan that If Olivia is a knight then Emma is a knight.", "Assume Olivia is a knave. No contradiction is found in their false claim that Mia is a knight if and only if Abigail is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 2), ('telling-truth', 5)), ('->', ('lying', 2), ('lying', 4)), ('not', ('lying', 1)), ('->', ('telling-truth', 6), ('telling-truth', 0)), ('and', ('lying', 0), ('telling-truth', 2)), ('->', ('lying', 1), ('lying', 2)), ('<=>', ('telling-truth', 4), ('lying', 5)))", "index": 848}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Alexander, Harper, Jackson, Henry, Daniel, Lily, and Ella. Alexander stated, \"Henry is a knave\". In a statement by Harper: \"Lily is a knave or Lily is a knight\". \"Henry is a knight or Henry is a knave,\" Jackson mentioned. Henry stated, \"If Jackson is a knight then Harper is a knave\". Daniel stated, \"Jackson is a knave or Ella is a knave\". In Lily's words: \"Ella is a knave or Alexander is a knight\". Ella asserted: \"Harper is not a knave\". So who is a knight and who is a knave?", "names": ["Alexander", "Harper", "Jackson", "Henry", "Daniel", "Lily", "Ella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false, false, true, true], "solution_text": "Alexander is a knight, Harper is a knight, Jackson is a knight, Henry is a knave, Daniel is a knave, Lily is a knight, and Ella is a knight.", "solution_text_format": "(1) Alexander is a knight\n(2) Harper is a knight\n(3) Jackson is a knight\n(4) Henry is a knave\n(5) Daniel is a knave\n(6) Lily is a knight\n(7) Ella is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Alexander is a knight. No contradiction is found in their claim that Henry is a knave.", "Henry cannot be a knight, because this would contradict the claim of Alexander that Henry is a knave.", "Assume Henry is a knave. No contradiction is found in their false claim that If Jackson is a knight then Harper is a knave.", "Assume Jackson is a knight. No contradiction is found in their claim that Henry is a knight or Henry is a knave.", "Assume Harper is a knight. No contradiction is found in their claim that Lily is a knave or Lily is a knight.", "Assume Lily is a knight. No contradiction is found in their claim that Ella is a knave or Alexander is a knight.", "Assume Ella is a knight. No contradiction is found in their claim that Harper is not a knave.", "Daniel cannot be a knight, because this would contradict the claim of their own that Jackson is a knave or Ella is a knave.", "Assume Daniel is a knave. No contradiction is found in their false claim that Jackson is a knave or Ella is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 3), ('or', ('lying', 5), ('telling-truth', 5)), ('or', ('telling-truth', 3), ('lying', 3)), ('->', ('telling-truth', 2), ('lying', 1)), ('or', ('lying', 2), ('lying', 6)), ('or', ('lying', 6), ('telling-truth', 0)), ('not', ('lying', 1)))", "index": 849}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Lily, William, Mia, Samuel, Sebastian, Ella, and Sofia. In Lily's words: \"If Sofia is a knight then Mia is a knight\". In William's words: \"If Mia is a knave then Sofia is a knave\". Mia asserted: \"William is a knight\". Samuel remarked, \"William is not a knave\". \"If Mia is a knight then Sofia is a knight\" - Sebastian. In Ella's words: \"Sebastian is a knave if and only if Samuel is a knave\". Sofia commented, \"Samuel is not a knave\". So who is a knight and who is a knave?", "names": ["Lily", "William", "Mia", "Samuel", "Sebastian", "Ella", "Sofia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, true, true, true], "solution_text": "Lily is a knight, William is a knight, Mia is a knight, Samuel is a knight, Sebastian is a knight, Ella is a knight, and Sofia is a knight.", "solution_text_format": "(1) Lily is a knight\n(2) William is a knight\n(3) Mia is a knight\n(4) Samuel is a knight\n(5) Sebastian is a knight\n(6) Ella is a knight\n(7) Sofia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Lily is a knight. No contradiction is found in their claim that If Sofia is a knight then Mia is a knight.", "Assume Sofia is a knight. No contradiction is found in their claim that Samuel is not a knave.", "Assume Samuel is a knight. No contradiction is found in their claim that William is not a knave.", "Assume William is a knight. No contradiction is found in their claim that If Mia is a knave then Sofia is a knave.", "Assume Mia is a knight. No contradiction is found in their claim that William is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that If Mia is a knight then Sofia is a knight.", "Assume Ella is a knight. No contradiction is found in their claim that Sebastian is a knave if and only if Samuel is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 6), ('telling-truth', 2)), ('->', ('lying', 2), ('lying', 6)), ('telling-truth', 1), ('not', ('lying', 1)), ('->', ('telling-truth', 2), ('telling-truth', 6)), ('<=>', ('lying', 4), ('lying', 3)), ('not', ('lying', 3)))", "index": 850}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Abigail, Mia, Logan, Ethan, Lily, Charlotte, and Luke. Abigail told you that Ethan is a knight if and only if Luke is a knight. Mia expressed that Charlotte is a knave or Charlotte is a knight. \"Mia is not a knave,\" Logan declared. Ethan stated, \"Charlotte is a knight and Lily is a knight\". Lily told you that Logan is not a knave. \"Mia is a knave if and only if Luke is a knave,\" Charlotte mentioned. \"Abigail is not a knight\" - Luke. So who is a knight and who is a knave?", "names": ["Abigail", "Mia", "Logan", "Ethan", "Lily", "Charlotte", "Luke"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false, true, false, false], "solution_text": "Abigail is a knight, Mia is a knight, Logan is a knight, Ethan is a knave, Lily is a knight, Charlotte is a knave, and Luke is a knave.", "solution_text_format": "(1) Abigail is a knight\n(2) Mia is a knight\n(3) Logan is a knight\n(4) Ethan is a knave\n(5) Lily is a knight\n(6) Charlotte is a knave\n(7) Luke is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Abigail is a knight. No contradiction is found in their claim that Ethan is a knight if and only if Luke is a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that Charlotte is a knight and Lily is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that Mia is a knave if and only if Luke is a knave.", "Assume Mia is a knight. No contradiction is found in their claim that Charlotte is a knave or Charlotte is a knight.", "Luke cannot be a knight, because this would contradict the claim of their own that Abigail is not a knight.", "Luke cannot be a knave, because this would contradict the claim of Abigail that Ethan is a knight if and only if Luke is a knight.", "We have exhausted all possibilities for Luke, so let us go back and reconsider Mia.", "Mia cannot be a knave, because this would contradict the false claim of their own that Charlotte is a knave or Charlotte is a knight.", "We have exhausted all possibilities for Mia, so let us go back and reconsider Charlotte.", "Charlotte cannot be a knave, because this would contradict the claim of Ethan that Charlotte is a knight and Lily is a knight.", "We have exhausted all possibilities for Charlotte, so let us go back and reconsider Ethan.", "Assume Ethan is a knave. No contradiction is found in their false claim that Charlotte is a knight and Lily is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that Mia is a knave if and only if Luke is a knave.", "Assume Mia is a knight. No contradiction is found in their claim that Charlotte is a knave or Charlotte is a knight.", "Luke cannot be a knight, because this would contradict the claim of Abigail that Ethan is a knight if and only if Luke is a knight.", "Luke cannot be a knave, because this would contradict the claim of Charlotte that Mia is a knave if and only if Luke is a knave.", "We have exhausted all possibilities for Luke, so let us go back and reconsider Mia.", "Mia cannot be a knave, because this would contradict the false claim of their own that Charlotte is a knave or Charlotte is a knight.", "We have exhausted all possibilities for Mia, so let us go back and reconsider Charlotte.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Mia is a knave if and only if Luke is a knave.", "Assume Mia is a knight. No contradiction is found in their claim that Charlotte is a knave or Charlotte is a knight.", "Luke cannot be a knight, because this would contradict the claim of Abigail that Ethan is a knight if and only if Luke is a knight.", "Assume Luke is a knave. No contradiction is found in their false claim that Abigail is not a knight.", "Assume Lily is a knight. No contradiction is found in their claim that Logan is not a knave.", "Assume Logan is a knight. No contradiction is found in their claim that Mia is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 3), ('telling-truth', 6)), ('or', ('lying', 5), ('telling-truth', 5)), ('not', ('lying', 1)), ('and', ('telling-truth', 5), ('telling-truth', 4)), ('not', ('lying', 2)), ('<=>', ('lying', 1), ('lying', 6)), ('not', ('telling-truth', 0)))", "index": 851}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Aiden, Lily, Ava, Ella, Noah, Jack, and Harper. \"Noah is a knight\" - Aiden. Lily remarked, \"Ava is a knight or Aiden is a knight\". Ava expressed that Ava is a knight or Jack is a knight. Ella noted, \"Ava is not a knave\". Noah commented, \"Ella is a knight\". \"If Lily is a knight then Harper is a knight,\" Jack declared. Harper stated, \"Ava is a knave\". So who is a knight and who is a knave?", "names": ["Aiden", "Lily", "Ava", "Ella", "Noah", "Jack", "Harper"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, true, false, false], "solution_text": "Aiden is a knight, Lily is a knight, Ava is a knight, Ella is a knight, Noah is a knight, Jack is a knave, and Harper is a knave.", "solution_text_format": "(1) Aiden is a knight\n(2) Lily is a knight\n(3) Ava is a knight\n(4) Ella is a knight\n(5) Noah is a knight\n(6) Jack is a knave\n(7) Harper is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aiden is a knight. No contradiction is found in their claim that Noah is a knight.", "Assume Noah is a knight. No contradiction is found in their claim that Ella is a knight.", "Assume Ella is a knight. No contradiction is found in their claim that Ava is not a knave.", "Assume Ava is a knight. No contradiction is found in their claim that Ava is a knight or Jack is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that If Lily is a knight then Harper is a knight.", "Assume Lily is a knight. No contradiction is found in their claim that Ava is a knight or Aiden is a knight.", "Harper cannot be a knight, because this would contradict the claim of their own that Ava is a knave.", "Harper cannot be a knave, because this would contradict the claim of Jack that If Lily is a knight then Harper is a knight.", "We have exhausted all possibilities for Harper, so let us go back and reconsider Lily.", "Lily cannot be a knave, because this would contradict the false claim of their own that Ava is a knight or Aiden is a knight.", "We have exhausted all possibilities for Lily, so let us go back and reconsider Jack.", "Assume Jack is a knave. No contradiction is found in their false claim that If Lily is a knight then Harper is a knight.", "Assume Lily is a knight. No contradiction is found in their claim that Ava is a knight or Aiden is a knight.", "Harper cannot be a knight, because this would contradict the false claim of Jack that If Lily is a knight then Harper is a knight.", "Assume Harper is a knave. No contradiction is found in their false claim that Ava is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 4), ('or', ('telling-truth', 2), ('telling-truth', 0)), ('or', ('telling-truth', 2), ('telling-truth', 5)), ('not', ('lying', 2)), ('telling-truth', 3), ('->', ('telling-truth', 1), ('telling-truth', 6)), ('lying', 2))", "index": 852}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Sebastian, Emma, Aiden, Lily, Chloe, Logan, and Alexander. Sebastian stated, \"Logan is not a knight\". Emma remarked, \"Alexander is a knight or Sebastian is a knight\". Aiden said that Sebastian is a knight or Logan is a knight. In Lily's words: \"Sebastian is a knave\". \"Lily is a knave if and only if Logan is a knave\" - Chloe. As Logan put it, \"Aiden is a knight\". Alexander asserted: \"Sebastian is a knight or Chloe is a knave\". So who is a knight and who is a knave?", "names": ["Sebastian", "Emma", "Aiden", "Lily", "Chloe", "Logan", "Alexander"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true, true, true, false], "solution_text": "Sebastian is a knave, Emma is a knave, Aiden is a knight, Lily is a knight, Chloe is a knight, Logan is a knight, and Alexander is a knave.", "solution_text_format": "(1) Sebastian is a knave\n(2) Emma is a knave\n(3) Aiden is a knight\n(4) Lily is a knight\n(5) Chloe is a knight\n(6) Logan is a knight\n(7) Alexander is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sebastian is a knight. No contradiction is found in their claim that Logan is not a knight.", "Logan cannot be a knight, because this would contradict the claim of Sebastian that Logan is not a knight.", "Assume Logan is a knave. No contradiction is found in their false claim that Aiden is a knight.", "Aiden cannot be a knight, because this would contradict the false claim of Logan that Aiden is a knight.", "Aiden cannot be a knave, because this would contradict the false claim of their own that Sebastian is a knight or Logan is a knight.", "We have exhausted all possibilities for Aiden and Logan, so let us go back and reconsider Sebastian.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Logan is not a knight.", "Assume Logan is a knight. No contradiction is found in their claim that Aiden is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that Sebastian is a knight or Logan is a knight.", "Assume Emma is a knight. No contradiction is found in their claim that Alexander is a knight or Sebastian is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that Sebastian is a knight or Chloe is a knave.", "Chloe cannot be a knight, because this would contradict the claim of Alexander that Sebastian is a knight or Chloe is a knave.", "Assume Chloe is a knave. No contradiction is found in their false claim that Lily is a knave if and only if Logan is a knave.", "Lily cannot be a knight, because this would contradict the false claim of Chloe that Lily is a knave if and only if Logan is a knave.", "Lily cannot be a knave, because this would contradict the false claim of their own that Sebastian is a knave.", "We have exhausted all possibilities for Lily and Chloe, so let us go back and reconsider Alexander.", "Alexander cannot be a knave, because this would contradict the claim of Emma that Alexander is a knight or Sebastian is a knight.", "We have exhausted all possibilities for Alexander, so let us go back and reconsider Emma.", "Assume Emma is a knave. No contradiction is found in their false claim that Alexander is a knight or Sebastian is a knight.", "Alexander cannot be a knight, because this would contradict the false claim of Emma that Alexander is a knight or Sebastian is a knight.", "Assume Alexander is a knave. No contradiction is found in their false claim that Sebastian is a knight or Chloe is a knave.", "Assume Chloe is a knight. No contradiction is found in their claim that Lily is a knave if and only if Logan is a knave.", "Assume Lily is a knight. No contradiction is found in their claim that Sebastian is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 5)), ('or', ('telling-truth', 6), ('telling-truth', 0)), ('or', ('telling-truth', 0), ('telling-truth', 5)), ('lying', 0), ('<=>', ('lying', 3), ('lying', 5)), ('telling-truth', 2), ('or', ('telling-truth', 0), ('lying', 4)))", "index": 853}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Amelia, Isabella, Chloe, Olivia, Owen, Benjamin, and Oliver. Amelia said, \"If Isabella is a knight then Chloe is a knave.\" As Isabella put it, \"Oliver is a knight if and only if Amelia is a knave\". \"Amelia is not a knave,\" Chloe mentioned. According to Olivia, \"Olivia is a knight\". \"Amelia is a knight and Chloe is a knave,\" Owen claimed. As Benjamin put it, \"Amelia is a knave if and only if Olivia is a knave\". Oliver remarked, \"Chloe is a knave or Olivia is a knave\". So who is a knight and who is a knave?", "names": ["Amelia", "Isabella", "Chloe", "Olivia", "Owen", "Benjamin", "Oliver"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false, false, false, true], "solution_text": "Amelia is a knight, Isabella is a knave, Chloe is a knight, Olivia is a knave, Owen is a knave, Benjamin is a knave, and Oliver is a knight.", "solution_text_format": "(1) Amelia is a knight\n(2) Isabella is a knave\n(3) Chloe is a knight\n(4) Olivia is a knave\n(5) Owen is a knave\n(6) Benjamin is a knave\n(7) Oliver is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Amelia is a knight. No contradiction is found in their claim that If Isabella is a knight then Chloe is a knave.", "Assume Isabella is a knight. No contradiction is found in their claim that Oliver is a knight if and only if Amelia is a knave.", "Oliver cannot be a knight, because this would contradict the claim of Isabella that Oliver is a knight if and only if Amelia is a knave.", "Assume Oliver is a knave. No contradiction is found in their false claim that Chloe is a knave or Olivia is a knave.", "Chloe cannot be a knight, because this would contradict the claim of Amelia that If Isabella is a knight then Chloe is a knave.", "Chloe cannot be a knave, because this would contradict the false claim of their own that Amelia is not a knave.", "We have exhausted all possibilities for Chloe and Oliver, so let us go back and reconsider Isabella.", "Assume Isabella is a knave. No contradiction is found in their false claim that Oliver is a knight if and only if Amelia is a knave.", "Assume Oliver is a knight. No contradiction is found in their claim that Chloe is a knave or Olivia is a knave.", "Assume Chloe is a knight. No contradiction is found in their claim that Amelia is not a knave.", "Olivia cannot be a knight, because this would contradict the claim of Oliver that Chloe is a knave or Olivia is a knave.", "Assume Olivia is a knave. No contradiction is found in their false claim that Olivia is a knight.", "Owen cannot be a knight, because this would contradict the claim of their own that Amelia is a knight and Chloe is a knave.", "Assume Owen is a knave. No contradiction is found in their false claim that Amelia is a knight and Chloe is a knave.", "Benjamin cannot be a knight, because this would contradict the claim of their own that Amelia is a knave if and only if Olivia is a knave.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Amelia is a knave if and only if Olivia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 1), ('lying', 2)), ('<=>', ('telling-truth', 6), ('lying', 0)), ('not', ('lying', 0)), ('telling-truth', 3), ('and', ('telling-truth', 0), ('lying', 2)), ('<=>', ('lying', 0), ('lying', 3)), ('or', ('lying', 2), ('lying', 3)))", "index": 854}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Matthew, Penelope, Alexander, Sophia, Mia, Oliver, and Ava. \"Sophia is a knave or Penelope is a knight,\" Matthew mentioned. Penelope said, \"Ava is a knight and Oliver is a knight.\" Alexander was heard saying, \"Matthew is a knight\". Sophia said, \"Penelope is a knight and Alexander is a knight.\" \"Oliver is a knight or Matthew is a knight,\" Mia declared. In Oliver's words: \"Oliver is a knight or Matthew is a knight\". \"Mia is a knave and Ava is a knight,\" Ava declared. So who is a knight and who is a knave?", "names": ["Matthew", "Penelope", "Alexander", "Sophia", "Mia", "Oliver", "Ava"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false, true, true, false], "solution_text": "Matthew is a knight, Penelope is a knave, Alexander is a knight, Sophia is a knave, Mia is a knight, Oliver is a knight, and Ava is a knave.", "solution_text_format": "(1) Matthew is a knight\n(2) Penelope is a knave\n(3) Alexander is a knight\n(4) Sophia is a knave\n(5) Mia is a knight\n(6) Oliver is a knight\n(7) Ava is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Matthew is a knight. No contradiction is found in their claim that Sophia is a knave or Penelope is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that Penelope is a knight and Alexander is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that Ava is a knight and Oliver is a knight.", "Assume Ava is a knight. No contradiction is found in their claim that Mia is a knave and Ava is a knight.", "Mia cannot be a knight, because this would contradict the claim of Ava that Mia is a knave and Ava is a knight.", "Mia cannot be a knave, because this would contradict the false claim of their own that Oliver is a knight or Matthew is a knight.", "We have exhausted all possibilities for Mia, so let us go back and reconsider Ava.", "Ava cannot be a knave, because this would contradict the claim of Penelope that Ava is a knight and Oliver is a knight.", "We have exhausted all possibilities for Ava, so let us go back and reconsider Penelope.", "Penelope cannot be a knave, because this would contradict the claim of Matthew that Sophia is a knave or Penelope is a knight.", "We have exhausted all possibilities for Penelope, so let us go back and reconsider Sophia.", "Assume Sophia is a knave. No contradiction is found in their false claim that Penelope is a knight and Alexander is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that Ava is a knight and Oliver is a knight.", "Assume Ava is a knight. No contradiction is found in their claim that Mia is a knave and Ava is a knight.", "Mia cannot be a knight, because this would contradict the claim of Ava that Mia is a knave and Ava is a knight.", "Mia cannot be a knave, because this would contradict the false claim of their own that Oliver is a knight or Matthew is a knight.", "We have exhausted all possibilities for Mia, so let us go back and reconsider Ava.", "Ava cannot be a knave, because this would contradict the claim of Penelope that Ava is a knight and Oliver is a knight.", "We have exhausted all possibilities for Ava, so let us go back and reconsider Penelope.", "Assume Penelope is a knave. No contradiction is found in their false claim that Ava is a knight and Oliver is a knight.", "Assume Ava is a knight. No contradiction is found in their claim that Mia is a knave and Ava is a knight.", "Mia cannot be a knight, because this would contradict the claim of Ava that Mia is a knave and Ava is a knight.", "Mia cannot be a knave, because this would contradict the false claim of their own that Oliver is a knight or Matthew is a knight.", "We have exhausted all possibilities for Mia, so let us go back and reconsider Ava.", "Assume Ava is a knave. No contradiction is found in their false claim that Mia is a knave and Ava is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that Oliver is a knight or Matthew is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that Oliver is a knight or Matthew is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that Matthew is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 3), ('telling-truth', 1)), ('and', ('telling-truth', 6), ('telling-truth', 5)), ('telling-truth', 0), ('and', ('telling-truth', 1), ('telling-truth', 2)), ('or', ('telling-truth', 5), ('telling-truth', 0)), ('or', ('telling-truth', 5), ('telling-truth', 0)), ('and', ('lying', 4), ('telling-truth', 6)))", "index": 855}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Jackson, William, Luke, Emily, Benjamin, Owen, and Harper. Jackson expressed that Owen is a knight or William is a knight. \"Owen is a knight if and only if Benjamin is a knave,\" William declared. Luke asserted: \"Jackson is a knight or Emily is a knight\". Emily asserted: \"Emily is a knight if and only if Luke is a knave\". Benjamin commented, \"William is a knight\". \"Benjamin is a knave if and only if Luke is a knight,\" Owen declared. As Harper put it, \"If Harper is a knight then William is a knave\". So who is a knight and who is a knave?", "names": ["Jackson", "William", "Luke", "Emily", "Benjamin", "Owen", "Harper"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, false, false, false, true], "solution_text": "Jackson is a knave, William is a knave, Luke is a knave, Emily is a knave, Benjamin is a knave, Owen is a knave, and Harper is a knight.", "solution_text_format": "(1) Jackson is a knave\n(2) William is a knave\n(3) Luke is a knave\n(4) Emily is a knave\n(5) Benjamin is a knave\n(6) Owen is a knave\n(7) Harper is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jackson is a knight. No contradiction is found in their claim that Owen is a knight or William is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that Benjamin is a knave if and only if Luke is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that William is a knight.", "William cannot be a knight, because this would contradict the claim of their own that Owen is a knight if and only if Benjamin is a knave.", "William cannot be a knave, because this would contradict the claim of Benjamin that William is a knight.", "We have exhausted all possibilities for William, so let us go back and reconsider Benjamin.", "Assume Benjamin is a knave. No contradiction is found in their false claim that William is a knight.", "William cannot be a knight, because this would contradict the false claim of Benjamin that William is a knight.", "William cannot be a knave, because this would contradict the false claim of their own that Owen is a knight if and only if Benjamin is a knave.", "We have exhausted all possibilities for William and Benjamin, so let us go back and reconsider Owen.", "Assume Owen is a knave. No contradiction is found in their false claim that Benjamin is a knave if and only if Luke is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that William is a knight.", "Assume William is a knight. No contradiction is found in their claim that Owen is a knight if and only if Benjamin is a knave.", "Assume Luke is a knight. No contradiction is found in their claim that Jackson is a knight or Emily is a knight.", "Emily cannot be a knight, because this would contradict the claim of their own that Emily is a knight if and only if Luke is a knave.", "Emily cannot be a knave, because this would contradict the false claim of their own that Emily is a knight if and only if Luke is a knave.", "We have exhausted all possibilities for Emily, so let us go back and reconsider Luke.", "Luke cannot be a knave, because this would contradict the false claim of their own that Jackson is a knight or Emily is a knight.", "We have exhausted all possibilities for Luke, so let us go back and reconsider William.", "William cannot be a knave, because this would contradict the claim of Jackson that Owen is a knight or William is a knight.", "We have exhausted all possibilities for William, so let us go back and reconsider Benjamin.", "Assume Benjamin is a knave. No contradiction is found in their false claim that William is a knight.", "William cannot be a knight, because this would contradict the claim of their own that Owen is a knight if and only if Benjamin is a knave.", "William cannot be a knave, because this would contradict the claim of Jackson that Owen is a knight or William is a knight.", "We have exhausted all possibilities for William, Benjamin, and Owen, so let us go back and reconsider Jackson.", "Assume Jackson is a knave. No contradiction is found in their false claim that Owen is a knight or William is a knight.", "Owen cannot be a knight, because this would contradict the false claim of Jackson that Owen is a knight or William is a knight.", "Assume Owen is a knave. No contradiction is found in their false claim that Benjamin is a knave if and only if Luke is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that William is a knight.", "William cannot be a knight, because this would contradict the false claim of Jackson that Owen is a knight or William is a knight.", "William cannot be a knave, because this would contradict the false claim of their own that Owen is a knight if and only if Benjamin is a knave.", "We have exhausted all possibilities for William, so let us go back and reconsider Benjamin.", "Assume Benjamin is a knave. No contradiction is found in their false claim that William is a knight.", "William cannot be a knight, because this would contradict the false claim of Jackson that Owen is a knight or William is a knight.", "Assume William is a knave. No contradiction is found in their false claim that Owen is a knight if and only if Benjamin is a knave.", "Luke cannot be a knight, because this would contradict the false claim of Owen that Benjamin is a knave if and only if Luke is a knight.", "Assume Luke is a knave. No contradiction is found in their false claim that Jackson is a knight or Emily is a knight.", "Emily cannot be a knight, because this would contradict the false claim of Luke that Jackson is a knight or Emily is a knight.", "Assume Emily is a knave. No contradiction is found in their false claim that Emily is a knight if and only if Luke is a knave.", "Assume Harper is a knight. No contradiction is found in their claim that If Harper is a knight then William is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 5), ('telling-truth', 1)), ('<=>', ('telling-truth', 5), ('lying', 4)), ('or', ('telling-truth', 0), ('telling-truth', 3)), ('<=>', ('telling-truth', 3), ('lying', 2)), ('telling-truth', 1), ('<=>', ('lying', 4), ('telling-truth', 2)), ('->', ('telling-truth', 6), ('lying', 1)))", "index": 856}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Isabella, Jacob, Ava, Aria, Emma, Ethan, and Samuel. Isabella was heard saying, \"Ava is a knave\". Jacob told you that Aria is a knight. In Ava's words: \"Emma is a knave\". Aria said that Ava is a knave or Samuel is a knave. In a statement by Emma: \"If Emma is a knight then Jacob is a knight\". Ethan commented, \"Samuel is a knight or Samuel is a knave\". As Samuel put it, \"Ava is a knight\". So who is a knight and who is a knave?", "names": ["Isabella", "Jacob", "Ava", "Aria", "Emma", "Ethan", "Samuel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true, true, true, false], "solution_text": "Isabella is a knight, Jacob is a knight, Ava is a knave, Aria is a knight, Emma is a knight, Ethan is a knight, and Samuel is a knave.", "solution_text_format": "(1) Isabella is a knight\n(2) Jacob is a knight\n(3) Ava is a knave\n(4) Aria is a knight\n(5) Emma is a knight\n(6) Ethan is a knight\n(7) Samuel is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Isabella is a knight. No contradiction is found in their claim that Ava is a knave.", "Ava cannot be a knight, because this would contradict the claim of Isabella that Ava is a knave.", "Assume Ava is a knave. No contradiction is found in their false claim that Emma is a knave.", "Assume Emma is a knight. No contradiction is found in their claim that If Emma is a knight then Jacob is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that Aria is a knight.", "Assume Aria is a knight. No contradiction is found in their claim that Ava is a knave or Samuel is a knave.", "Samuel cannot be a knight, because this would contradict the claim of their own that Ava is a knight.", "Assume Samuel is a knave. No contradiction is found in their false claim that Ava is a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that Samuel is a knight or Samuel is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 2), ('telling-truth', 3), ('lying', 4), ('or', ('lying', 2), ('lying', 6)), ('->', ('telling-truth', 4), ('telling-truth', 1)), ('or', ('telling-truth', 6), ('lying', 6)), ('telling-truth', 2))", "index": 857}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Abigail, Matthew, David, Alexander, Ella, Penelope, and Jack. Abigail told you that David is a knave. Matthew noted, \"Ella is a knave or Abigail is a knight\". In David's words: \"Ella is a knave and Alexander is a knave\". Alexander commented, \"Penelope is not a knight\". \"Matthew is a knave if and only if Abigail is a knave,\" Ella mentioned. Penelope told you that Abigail is not a knave. According to Jack, \"Alexander is not a knave\". So who is a knight and who is a knave?", "names": ["Abigail", "Matthew", "David", "Alexander", "Ella", "Penelope", "Jack"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false, true, true, false], "solution_text": "Abigail is a knight, Matthew is a knight, David is a knave, Alexander is a knave, Ella is a knight, Penelope is a knight, and Jack is a knave.", "solution_text_format": "(1) Abigail is a knight\n(2) Matthew is a knight\n(3) David is a knave\n(4) Alexander is a knave\n(5) Ella is a knight\n(6) Penelope is a knight\n(7) Jack is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Abigail is a knight. No contradiction is found in their claim that David is a knave.", "David cannot be a knight, because this would contradict the claim of Abigail that David is a knave.", "Assume David is a knave. No contradiction is found in their false claim that Ella is a knave and Alexander is a knave.", "Assume Ella is a knight. No contradiction is found in their claim that Matthew is a knave if and only if Abigail is a knave.", "Assume Matthew is a knight. No contradiction is found in their claim that Ella is a knave or Abigail is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that Penelope is not a knight.", "Penelope cannot be a knight, because this would contradict the claim of Alexander that Penelope is not a knight.", "Penelope cannot be a knave, because this would contradict the false claim of their own that Abigail is not a knave.", "We have exhausted all possibilities for Penelope, so let us go back and reconsider Alexander.", "Assume Alexander is a knave. No contradiction is found in their false claim that Penelope is not a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that Abigail is not a knave.", "Jack cannot be a knight, because this would contradict the claim of their own that Alexander is not a knave.", "Assume Jack is a knave. No contradiction is found in their false claim that Alexander is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 2), ('or', ('lying', 4), ('telling-truth', 0)), ('and', ('lying', 4), ('lying', 3)), ('not', ('telling-truth', 5)), ('<=>', ('lying', 1), ('lying', 0)), ('not', ('lying', 0)), ('not', ('lying', 3)))", "index": 858}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: James, Luke, Matthew, Liam, Lucas, Lily, and Zoey. James said that Luke is a knight. Luke remarked, \"Zoey is a knave if and only if Lily is a knave\". \"Liam is a knave if and only if James is a knave,\" Matthew mentioned. As Liam put it, \"James is a knight\". Lucas said that Matthew is a knight or Luke is a knave. Lily noted, \"Liam is not a knave\". According to Zoey, \"If Luke is a knave then Luke is a knight\". So who is a knight and who is a knave?", "names": ["James", "Luke", "Matthew", "Liam", "Lucas", "Lily", "Zoey"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, true, true, true], "solution_text": "James is a knight, Luke is a knight, Matthew is a knight, Liam is a knight, Lucas is a knight, Lily is a knight, and Zoey is a knight.", "solution_text_format": "(1) James is a knight\n(2) Luke is a knight\n(3) Matthew is a knight\n(4) Liam is a knight\n(5) Lucas is a knight\n(6) Lily is a knight\n(7) Zoey is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume James is a knight. No contradiction is found in their claim that Luke is a knight.", "Assume Luke is a knight. No contradiction is found in their claim that Zoey is a knave if and only if Lily is a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that If Luke is a knave then Luke is a knight.", "Assume Lily is a knight. No contradiction is found in their claim that Liam is not a knave.", "Assume Liam is a knight. No contradiction is found in their claim that James is a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that Liam is a knave if and only if James is a knave.", "Assume Lucas is a knight. No contradiction is found in their claim that Matthew is a knight or Luke is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 1), ('<=>', ('lying', 6), ('lying', 5)), ('<=>', ('lying', 3), ('lying', 0)), ('telling-truth', 0), ('or', ('telling-truth', 2), ('lying', 1)), ('not', ('lying', 3)), ('->', ('lying', 1), ('telling-truth', 1)))", "index": 859}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Aiden, Ava, Alexander, Sofia, Elizabeth, Benjamin, and Olivia. In Aiden's words: \"Benjamin is a knight and Alexander is a knight\". Ava stated, \"If Sofia is a knight then Ava is a knight\". In a statement by Alexander: \"Olivia is a knave\". Sofia commented, \"If Aiden is a knave then Ava is a knight\". Elizabeth told you that Ava is not a knave. In Benjamin's words: \"Olivia is a knight or Ava is a knave\". Olivia noted, \"Ava is not a knight\". So who is a knight and who is a knave?", "names": ["Aiden", "Ava", "Alexander", "Sofia", "Elizabeth", "Benjamin", "Olivia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, true, false, false], "solution_text": "Aiden is a knave, Ava is a knight, Alexander is a knight, Sofia is a knight, Elizabeth is a knight, Benjamin is a knave, and Olivia is a knave.", "solution_text_format": "(1) Aiden is a knave\n(2) Ava is a knight\n(3) Alexander is a knight\n(4) Sofia is a knight\n(5) Elizabeth is a knight\n(6) Benjamin is a knave\n(7) Olivia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aiden is a knight. No contradiction is found in their claim that Benjamin is a knight and Alexander is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that Olivia is a knight or Ava is a knave.", "Assume Olivia is a knight. No contradiction is found in their claim that Ava is not a knight.", "Ava cannot be a knight, because this would contradict the claim of Olivia that Ava is not a knight.", "Assume Ava is a knave. No contradiction is found in their false claim that If Sofia is a knight then Ava is a knight.", "Assume Sofia is a knight. No contradiction is found in their claim that If Aiden is a knave then Ava is a knight.", "Alexander cannot be a knight, because this would contradict the claim of their own that Olivia is a knave.", "Alexander cannot be a knave, because this would contradict the claim of Aiden that Benjamin is a knight and Alexander is a knight.", "We have exhausted all possibilities for Alexander, so let us go back and reconsider Sofia.", "Sofia cannot be a knave, because this would contradict the false claim of Ava that If Sofia is a knight then Ava is a knight.", "We have exhausted all possibilities for Sofia and Ava, so let us go back and reconsider Olivia.", "Assume Olivia is a knave. No contradiction is found in their false claim that Ava is not a knight.", "Ava cannot be a knight, because this would contradict the claim of Benjamin that Olivia is a knight or Ava is a knave.", "Ava cannot be a knave, because this would contradict the false claim of Olivia that Ava is not a knight.", "We have exhausted all possibilities for Ava and Olivia, so let us go back and reconsider Benjamin.", "Benjamin cannot be a knave, because this would contradict the claim of Aiden that Benjamin is a knight and Alexander is a knight.", "We have exhausted all possibilities for Benjamin, so let us go back and reconsider Aiden.", "Assume Aiden is a knave. No contradiction is found in their false claim that Benjamin is a knight and Alexander is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that Olivia is a knight or Ava is a knave.", "Assume Olivia is a knight. No contradiction is found in their claim that Ava is not a knight.", "Ava cannot be a knight, because this would contradict the claim of Olivia that Ava is not a knight.", "Assume Ava is a knave. No contradiction is found in their false claim that If Sofia is a knight then Ava is a knight.", "Sofia cannot be a knight, because this would contradict the claim of their own that If Aiden is a knave then Ava is a knight.", "Sofia cannot be a knave, because this would contradict the false claim of Ava that If Sofia is a knight then Ava is a knight.", "We have exhausted all possibilities for Sofia and Ava, so let us go back and reconsider Olivia.", "Assume Olivia is a knave. No contradiction is found in their false claim that Ava is not a knight.", "Ava cannot be a knight, because this would contradict the claim of Benjamin that Olivia is a knight or Ava is a knave.", "Ava cannot be a knave, because this would contradict the false claim of Olivia that Ava is not a knight.", "We have exhausted all possibilities for Ava and Olivia, so let us go back and reconsider Benjamin.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Olivia is a knight or Ava is a knave.", "Olivia cannot be a knight, because this would contradict the false claim of Benjamin that Olivia is a knight or Ava is a knave.", "Assume Olivia is a knave. No contradiction is found in their false claim that Ava is not a knight.", "Assume Ava is a knight. No contradiction is found in their claim that If Sofia is a knight then Ava is a knight.", "Assume Sofia is a knight. No contradiction is found in their claim that If Aiden is a knave then Ava is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that Olivia is a knave.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Ava is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 5), ('telling-truth', 2)), ('->', ('telling-truth', 3), ('telling-truth', 1)), ('lying', 6), ('->', ('lying', 0), ('telling-truth', 1)), ('not', ('lying', 1)), ('or', ('telling-truth', 6), ('lying', 1)), ('not', ('telling-truth', 1)))", "index": 860}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Aurora, Isabella, Sofia, Jack, David, Matthew, and Zoey. Aurora was heard saying, \"Matthew is a knight and Jack is a knight\". Isabella was heard saying, \"Aurora is a knave\". Sofia said, \"Isabella is not a knight.\" As Jack put it, \"Isabella is a knave and Aurora is a knight\". David asserted: \"Aurora is not a knave\". Matthew asserted: \"Zoey is a knave\". Zoey stated, \"David is a knave if and only if Matthew is a knight\". So who is a knight and who is a knave?", "names": ["Aurora", "Isabella", "Sofia", "Jack", "David", "Matthew", "Zoey"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, true, true, false], "solution_text": "Aurora is a knight, Isabella is a knave, Sofia is a knight, Jack is a knight, David is a knight, Matthew is a knight, and Zoey is a knave.", "solution_text_format": "(1) Aurora is a knight\n(2) Isabella is a knave\n(3) Sofia is a knight\n(4) Jack is a knight\n(5) David is a knight\n(6) Matthew is a knight\n(7) Zoey is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aurora is a knight. No contradiction is found in their claim that Matthew is a knight and Jack is a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that Zoey is a knave.", "Zoey cannot be a knight, because this would contradict the claim of Matthew that Zoey is a knave.", "Assume Zoey is a knave. No contradiction is found in their false claim that David is a knave if and only if Matthew is a knight.", "Assume David is a knight. No contradiction is found in their claim that Aurora is not a knave.", "Assume Jack is a knight. No contradiction is found in their claim that Isabella is a knave and Aurora is a knight.", "Isabella cannot be a knight, because this would contradict the claim of their own that Aurora is a knave.", "Assume Isabella is a knave. No contradiction is found in their false claim that Aurora is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that Isabella is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 5), ('telling-truth', 3)), ('lying', 0), ('not', ('telling-truth', 1)), ('and', ('lying', 1), ('telling-truth', 0)), ('not', ('lying', 0)), ('lying', 6), ('<=>', ('lying', 4), ('telling-truth', 5)))", "index": 861}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Henry, Alexander, Aurora, Mason, Lily, Emma, and Luke. Henry said, \"Alexander is a knave.\" Alexander told you that If Aurora is a knight then Luke is a knight. Aurora told you that Lily is not a knave. Mason stated, \"Henry is a knave and Lily is a knight\". \"Emma is a knight if and only if Emma is a knave,\" Lily declared. Emma remarked, \"Mason is a knight or Alexander is a knave\". Luke told you that Alexander is a knight or Aurora is a knave. So who is a knight and who is a knave?", "names": ["Henry", "Alexander", "Aurora", "Mason", "Lily", "Emma", "Luke"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false, false, false, true], "solution_text": "Henry is a knave, Alexander is a knight, Aurora is a knave, Mason is a knave, Lily is a knave, Emma is a knave, and Luke is a knight.", "solution_text_format": "(1) Henry is a knave\n(2) Alexander is a knight\n(3) Aurora is a knave\n(4) Mason is a knave\n(5) Lily is a knave\n(6) Emma is a knave\n(7) Luke is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Henry is a knight. No contradiction is found in their claim that Alexander is a knave.", "Alexander cannot be a knight, because this would contradict the claim of Henry that Alexander is a knave.", "Assume Alexander is a knave. No contradiction is found in their false claim that If Aurora is a knight then Luke is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that Lily is not a knave.", "Lily cannot be a knight, because this would contradict the claim of their own that Emma is a knight if and only if Emma is a knave.", "Lily cannot be a knave, because this would contradict the claim of Aurora that Lily is not a knave.", "We have exhausted all possibilities for Lily, so let us go back and reconsider Aurora.", "Aurora cannot be a knave, because this would contradict the false claim of Alexander that If Aurora is a knight then Luke is a knight.", "We have exhausted all possibilities for Aurora and Alexander, so let us go back and reconsider Henry.", "Assume Henry is a knave. No contradiction is found in their false claim that Alexander is a knave.", "Assume Alexander is a knight. No contradiction is found in their claim that If Aurora is a knight then Luke is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that Lily is not a knave.", "Lily cannot be a knight, because this would contradict the claim of their own that Emma is a knight if and only if Emma is a knave.", "Lily cannot be a knave, because this would contradict the claim of Aurora that Lily is not a knave.", "We have exhausted all possibilities for Lily, so let us go back and reconsider Aurora.", "Assume Aurora is a knave. No contradiction is found in their false claim that Lily is not a knave.", "Lily cannot be a knight, because this would contradict the false claim of Aurora that Lily is not a knave.", "Assume Lily is a knave. No contradiction is found in their false claim that Emma is a knight if and only if Emma is a knave.", "Assume Emma is a knight. No contradiction is found in their claim that Mason is a knight or Alexander is a knave.", "Mason cannot be a knight, because this would contradict the claim of their own that Henry is a knave and Lily is a knight.", "Mason cannot be a knave, because this would contradict the claim of Emma that Mason is a knight or Alexander is a knave.", "We have exhausted all possibilities for Mason, so let us go back and reconsider Emma.", "Assume Emma is a knave. No contradiction is found in their false claim that Mason is a knight or Alexander is a knave.", "Mason cannot be a knight, because this would contradict the claim of their own that Henry is a knave and Lily is a knight.", "Assume Mason is a knave. No contradiction is found in their false claim that Henry is a knave and Lily is a knight.", "Assume Luke is a knight. No contradiction is found in their claim that Alexander is a knight or Aurora is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('->', ('telling-truth', 2), ('telling-truth', 6)), ('not', ('lying', 4)), ('and', ('lying', 0), ('telling-truth', 4)), ('<=>', ('telling-truth', 5), ('lying', 5)), ('or', ('telling-truth', 3), ('lying', 1)), ('or', ('telling-truth', 1), ('lying', 2)))", "index": 862}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Ella, Mason, James, Grace, Victoria, Luke, and Ava. \"Grace is not a knight\" - Ella. Mason expressed that Ava is a knight if and only if Ella is a knave. James was heard saying, \"If Ella is a knave then Mason is a knave\". Grace remarked, \"Ava is a knight and James is a knave\". Victoria remarked, \"James is a knight and Ava is a knight\". Luke was heard saying, \"James is a knave\". Ava stated, \"Luke is a knight if and only if Ava is a knight\". So who is a knight and who is a knave?", "names": ["Ella", "Mason", "James", "Grace", "Victoria", "Luke", "Ava"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true, false, true, true], "solution_text": "Ella is a knave, Mason is a knight, James is a knave, Grace is a knight, Victoria is a knave, Luke is a knight, and Ava is a knight.", "solution_text_format": "(1) Ella is a knave\n(2) Mason is a knight\n(3) James is a knave\n(4) Grace is a knight\n(5) Victoria is a knave\n(6) Luke is a knight\n(7) Ava is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ella is a knight. No contradiction is found in their claim that Grace is not a knight.", "Grace cannot be a knight, because this would contradict the claim of Ella that Grace is not a knight.", "Assume Grace is a knave. No contradiction is found in their false claim that Ava is a knight and James is a knave.", "Assume Ava is a knight. No contradiction is found in their claim that Luke is a knight if and only if Ava is a knight.", "Assume Luke is a knight. No contradiction is found in their claim that James is a knave.", "James cannot be a knight, because this would contradict the claim of Luke that James is a knave.", "James cannot be a knave, because this would contradict the false claim of their own that If Ella is a knave then Mason is a knave.", "We have exhausted all possibilities for James, so let us go back and reconsider Luke.", "Luke cannot be a knave, because this would contradict the claim of Ava that Luke is a knight if and only if Ava is a knight.", "We have exhausted all possibilities for Luke, so let us go back and reconsider Ava.", "Assume Ava is a knave. No contradiction is found in their false claim that Luke is a knight if and only if Ava is a knight.", "Assume Luke is a knight. No contradiction is found in their claim that James is a knave.", "James cannot be a knight, because this would contradict the claim of Luke that James is a knave.", "James cannot be a knave, because this would contradict the false claim of their own that If Ella is a knave then Mason is a knave.", "We have exhausted all possibilities for James, so let us go back and reconsider Luke.", "Luke cannot be a knave, because this would contradict the false claim of Ava that Luke is a knight if and only if Ava is a knight.", "We have exhausted all possibilities for Luke, Ava, and Grace, so let us go back and reconsider Ella.", "Assume Ella is a knave. No contradiction is found in their false claim that Grace is not a knight.", "Assume Grace is a knight. No contradiction is found in their claim that Ava is a knight and James is a knave.", "Assume Ava is a knight. No contradiction is found in their claim that Luke is a knight if and only if Ava is a knight.", "Assume Luke is a knight. No contradiction is found in their claim that James is a knave.", "James cannot be a knight, because this would contradict the claim of Grace that Ava is a knight and James is a knave.", "Assume James is a knave. No contradiction is found in their false claim that If Ella is a knave then Mason is a knave.", "Assume Mason is a knight. No contradiction is found in their claim that Ava is a knight if and only if Ella is a knave.", "Victoria cannot be a knight, because this would contradict the claim of their own that James is a knight and Ava is a knight.", "Assume Victoria is a knave. No contradiction is found in their false claim that James is a knight and Ava is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 3)), ('<=>', ('telling-truth', 6), ('lying', 0)), ('->', ('lying', 0), ('lying', 1)), ('and', ('telling-truth', 6), ('lying', 2)), ('and', ('telling-truth', 2), ('telling-truth', 6)), ('lying', 2), ('<=>', ('telling-truth', 5), ('telling-truth', 6)))", "index": 863}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Liam, Abigail, Luke, Ethan, Samuel, Daniel, and James. Liam commented, \"Luke is a knight and James is a knave\". \"Daniel is a knave,\" Abigail claimed. \"Abigail is a knave or Daniel is a knight,\" Luke mentioned. Ethan noted, \"Samuel is a knight or Liam is a knight\". In Samuel's words: \"If Luke is a knight then Daniel is a knave\". In a statement by Daniel: \"Liam is not a knight\". \"Ethan is a knave,\" James mentioned. So who is a knight and who is a knave?", "names": ["Liam", "Abigail", "Luke", "Ethan", "Samuel", "Daniel", "James"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false, false, true, true], "solution_text": "Liam is a knave, Abigail is a knave, Luke is a knight, Ethan is a knave, Samuel is a knave, Daniel is a knight, and James is a knight.", "solution_text_format": "(1) Liam is a knave\n(2) Abigail is a knave\n(3) Luke is a knight\n(4) Ethan is a knave\n(5) Samuel is a knave\n(6) Daniel is a knight\n(7) James is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Liam is a knight. No contradiction is found in their claim that Luke is a knight and James is a knave.", "Assume Luke is a knight. No contradiction is found in their claim that Abigail is a knave or Daniel is a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that Daniel is a knave.", "Daniel cannot be a knight, because this would contradict the claim of Abigail that Daniel is a knave.", "Daniel cannot be a knave, because this would contradict the claim of Luke that Abigail is a knave or Daniel is a knight.", "We have exhausted all possibilities for Daniel, so let us go back and reconsider Abigail.", "Assume Abigail is a knave. No contradiction is found in their false claim that Daniel is a knave.", "Daniel cannot be a knight, because this would contradict the claim of their own that Liam is not a knight.", "Daniel cannot be a knave, because this would contradict the false claim of Abigail that Daniel is a knave.", "We have exhausted all possibilities for Daniel and Abigail, so let us go back and reconsider Luke.", "Luke cannot be a knave, because this would contradict the claim of Liam that Luke is a knight and James is a knave.", "We have exhausted all possibilities for Luke, so let us go back and reconsider Liam.", "Assume Liam is a knave. No contradiction is found in their false claim that Luke is a knight and James is a knave.", "Assume Luke is a knight. No contradiction is found in their claim that Abigail is a knave or Daniel is a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that Daniel is a knave.", "Daniel cannot be a knight, because this would contradict the claim of Abigail that Daniel is a knave.", "Daniel cannot be a knave, because this would contradict the claim of Luke that Abigail is a knave or Daniel is a knight.", "We have exhausted all possibilities for Daniel, so let us go back and reconsider Abigail.", "Assume Abigail is a knave. No contradiction is found in their false claim that Daniel is a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that Liam is not a knight.", "Assume James is a knight. No contradiction is found in their claim that Ethan is a knave.", "Ethan cannot be a knight, because this would contradict the claim of James that Ethan is a knave.", "Assume Ethan is a knave. No contradiction is found in their false claim that Samuel is a knight or Liam is a knight.", "Samuel cannot be a knight, because this would contradict the false claim of Ethan that Samuel is a knight or Liam is a knight.", "Assume Samuel is a knave. No contradiction is found in their false claim that If Luke is a knight then Daniel is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 2), ('lying', 6)), ('lying', 5), ('or', ('lying', 1), ('telling-truth', 5)), ('or', ('telling-truth', 4), ('telling-truth', 0)), ('->', ('telling-truth', 2), ('lying', 5)), ('not', ('telling-truth', 0)), ('lying', 3))", "index": 864}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Avery, Sebastian, Michael, Owen, Victoria, Elizabeth, and Sofia. Avery said that Owen is a knave or Michael is a knight. Sebastian commented, \"Victoria is a knave and Sofia is a knight\". Michael stated, \"Owen is not a knave\". \"If Elizabeth is a knight then Sebastian is a knight\" - Owen. \"If Michael is a knight then Sebastian is a knight,\" Victoria mentioned. \"Sebastian is a knave,\" Elizabeth claimed. Sofia expressed that If Victoria is a knave then Avery is a knight. So who is a knight and who is a knave?", "names": ["Avery", "Sebastian", "Michael", "Owen", "Victoria", "Elizabeth", "Sofia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false, true, true, true], "solution_text": "Avery is a knight, Sebastian is a knave, Michael is a knave, Owen is a knave, Victoria is a knight, Elizabeth is a knight, and Sofia is a knight.", "solution_text_format": "(1) Avery is a knight\n(2) Sebastian is a knave\n(3) Michael is a knave\n(4) Owen is a knave\n(5) Victoria is a knight\n(6) Elizabeth is a knight\n(7) Sofia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Avery is a knight. No contradiction is found in their claim that Owen is a knave or Michael is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that If Elizabeth is a knight then Sebastian is a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Sebastian is a knave.", "Sebastian cannot be a knight, because this would contradict the claim of Elizabeth that Sebastian is a knave.", "Sebastian cannot be a knave, because this would contradict the claim of Owen that If Elizabeth is a knight then Sebastian is a knight.", "We have exhausted all possibilities for Sebastian, so let us go back and reconsider Elizabeth.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Sebastian is a knave.", "Assume Sebastian is a knight. No contradiction is found in their claim that Victoria is a knave and Sofia is a knight.", "Victoria cannot be a knight, because this would contradict the claim of Sebastian that Victoria is a knave and Sofia is a knight.", "Victoria cannot be a knave, because this would contradict the false claim of their own that If Michael is a knight then Sebastian is a knight.", "We have exhausted all possibilities for Victoria, so let us go back and reconsider Sebastian.", "Sebastian cannot be a knave, because this would contradict the false claim of Elizabeth that Sebastian is a knave.", "We have exhausted all possibilities for Sebastian and Elizabeth, so let us go back and reconsider Owen.", "Assume Owen is a knave. No contradiction is found in their false claim that If Elizabeth is a knight then Sebastian is a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Sebastian is a knave.", "Sebastian cannot be a knight, because this would contradict the false claim of Owen that If Elizabeth is a knight then Sebastian is a knight.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Victoria is a knave and Sofia is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that If Michael is a knight then Sebastian is a knight.", "Michael cannot be a knight, because this would contradict the claim of their own that Owen is not a knave.", "Assume Michael is a knave. No contradiction is found in their false claim that Owen is not a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that If Victoria is a knave then Avery is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 3), ('telling-truth', 2)), ('and', ('lying', 4), ('telling-truth', 6)), ('not', ('lying', 3)), ('->', ('telling-truth', 5), ('telling-truth', 1)), ('->', ('telling-truth', 2), ('telling-truth', 1)), ('lying', 1), ('->', ('lying', 4), ('telling-truth', 0)))", "index": 865}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Ethan, Sebastian, Oliver, Victoria, Lily, Benjamin, and Luke. In Ethan's words: \"Benjamin is a knight and Luke is a knight\". Sebastian said, \"If Oliver is a knight then Victoria is a knight.\" Oliver said that Sebastian is not a knight. Victoria remarked, \"Oliver is a knave or Luke is a knight\". According to Lily, \"Ethan is a knave if and only if Victoria is a knave\". \"Ethan is a knave and Oliver is a knight,\" Benjamin mentioned. Luke was heard saying, \"Sebastian is a knave and Victoria is a knave\". So who is a knight and who is a knave?", "names": ["Ethan", "Sebastian", "Oliver", "Victoria", "Lily", "Benjamin", "Luke"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true, false, false, false], "solution_text": "Ethan is a knave, Sebastian is a knight, Oliver is a knave, Victoria is a knight, Lily is a knave, Benjamin is a knave, and Luke is a knave.", "solution_text_format": "(1) Ethan is a knave\n(2) Sebastian is a knight\n(3) Oliver is a knave\n(4) Victoria is a knight\n(5) Lily is a knave\n(6) Benjamin is a knave\n(7) Luke is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ethan is a knight. No contradiction is found in their claim that Benjamin is a knight and Luke is a knight.", "Benjamin cannot be a knight, because this would contradict the claim of their own that Ethan is a knave and Oliver is a knight.", "Benjamin cannot be a knave, because this would contradict the claim of Ethan that Benjamin is a knight and Luke is a knight.", "We have exhausted all possibilities for Benjamin, so let us go back and reconsider Ethan.", "Assume Ethan is a knave. No contradiction is found in their false claim that Benjamin is a knight and Luke is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that Ethan is a knave and Oliver is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that Sebastian is not a knight.", "Sebastian cannot be a knight, because this would contradict the claim of Oliver that Sebastian is not a knight.", "Assume Sebastian is a knave. No contradiction is found in their false claim that If Oliver is a knight then Victoria is a knight.", "Victoria cannot be a knight, because this would contradict the false claim of Sebastian that If Oliver is a knight then Victoria is a knight.", "Assume Victoria is a knave. No contradiction is found in their false claim that Oliver is a knave or Luke is a knight.", "Luke cannot be a knight, because this would contradict the false claim of Ethan that Benjamin is a knight and Luke is a knight.", "Luke cannot be a knave, because this would contradict the false claim of their own that Sebastian is a knave and Victoria is a knave.", "We have exhausted all possibilities for Luke, Victoria, and Sebastian, so let us go back and reconsider Oliver.", "Oliver cannot be a knave, because this would contradict the claim of Benjamin that Ethan is a knave and Oliver is a knight.", "We have exhausted all possibilities for Oliver, so let us go back and reconsider Benjamin.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Ethan is a knave and Oliver is a knight.", "Oliver cannot be a knight, because this would contradict the false claim of Benjamin that Ethan is a knave and Oliver is a knight.", "Assume Oliver is a knave. No contradiction is found in their false claim that Sebastian is not a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that If Oliver is a knight then Victoria is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that Oliver is a knave or Luke is a knight.", "Luke cannot be a knight, because this would contradict the claim of their own that Sebastian is a knave and Victoria is a knave.", "Assume Luke is a knave. No contradiction is found in their false claim that Sebastian is a knave and Victoria is a knave.", "Lily cannot be a knight, because this would contradict the claim of their own that Ethan is a knave if and only if Victoria is a knave.", "Assume Lily is a knave. No contradiction is found in their false claim that Ethan is a knave if and only if Victoria is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 5), ('telling-truth', 6)), ('->', ('telling-truth', 2), ('telling-truth', 3)), ('not', ('telling-truth', 1)), ('or', ('lying', 2), ('telling-truth', 6)), ('<=>', ('lying', 0), ('lying', 3)), ('and', ('lying', 0), ('telling-truth', 2)), ('and', ('lying', 1), ('lying', 3)))", "index": 866}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Evelyn, Zoey, Noah, Charlotte, Ava, Joseph, and Michael. Evelyn said, \"If Joseph is a knave then Zoey is a knight.\" \"Michael is a knight and Noah is a knave\" - Zoey. Noah expressed that Zoey is a knight if and only if Michael is a knight. Charlotte said, \"If Joseph is a knight then Evelyn is a knight.\" Ava commented, \"Noah is a knight if and only if Michael is a knave\". Joseph said, \"Charlotte is a knave and Noah is a knave.\" \"Noah is a knave,\" Michael declared. So who is a knight and who is a knave?", "names": ["Evelyn", "Zoey", "Noah", "Charlotte", "Ava", "Joseph", "Michael"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true, true, false, false], "solution_text": "Evelyn is a knave, Zoey is a knave, Noah is a knight, Charlotte is a knight, Ava is a knight, Joseph is a knave, and Michael is a knave.", "solution_text_format": "(1) Evelyn is a knave\n(2) Zoey is a knave\n(3) Noah is a knight\n(4) Charlotte is a knight\n(5) Ava is a knight\n(6) Joseph is a knave\n(7) Michael is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Evelyn is a knight. No contradiction is found in their claim that If Joseph is a knave then Zoey is a knight.", "Assume Joseph is a knight. No contradiction is found in their claim that Charlotte is a knave and Noah is a knave.", "Charlotte cannot be a knight, because this would contradict the claim of Joseph that Charlotte is a knave and Noah is a knave.", "Charlotte cannot be a knave, because this would contradict the false claim of their own that If Joseph is a knight then Evelyn is a knight.", "We have exhausted all possibilities for Charlotte, so let us go back and reconsider Joseph.", "Assume Joseph is a knave. No contradiction is found in their false claim that Charlotte is a knave and Noah is a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that If Joseph is a knight then Evelyn is a knight.", "Assume Noah is a knight. No contradiction is found in their claim that Zoey is a knight if and only if Michael is a knight.", "Zoey cannot be a knight, because this would contradict the claim of their own that Michael is a knight and Noah is a knave.", "Zoey cannot be a knave, because this would contradict the claim of Evelyn that If Joseph is a knave then Zoey is a knight.", "We have exhausted all possibilities for Zoey, so let us go back and reconsider Noah.", "Assume Noah is a knave. No contradiction is found in their false claim that Zoey is a knight if and only if Michael is a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that Michael is a knight and Noah is a knave.", "Michael cannot be a knight, because this would contradict the false claim of Noah that Zoey is a knight if and only if Michael is a knight.", "Michael cannot be a knave, because this would contradict the claim of Zoey that Michael is a knight and Noah is a knave.", "We have exhausted all possibilities for Michael, so let us go back and reconsider Zoey.", "Zoey cannot be a knave, because this would contradict the claim of Evelyn that If Joseph is a knave then Zoey is a knight.", "We have exhausted all possibilities for Zoey and Noah, so let us go back and reconsider Charlotte.", "Charlotte cannot be a knave, because this would contradict the false claim of their own that If Joseph is a knight then Evelyn is a knight.", "We have exhausted all possibilities for Charlotte and Joseph, so let us go back and reconsider Evelyn.", "Assume Evelyn is a knave. No contradiction is found in their false claim that If Joseph is a knave then Zoey is a knight.", "Joseph cannot be a knight, because this would contradict the false claim of Evelyn that If Joseph is a knave then Zoey is a knight.", "Assume Joseph is a knave. No contradiction is found in their false claim that Charlotte is a knave and Noah is a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that If Joseph is a knight then Evelyn is a knight.", "Assume Noah is a knight. No contradiction is found in their claim that Zoey is a knight if and only if Michael is a knight.", "Zoey cannot be a knight, because this would contradict the false claim of Evelyn that If Joseph is a knave then Zoey is a knight.", "Assume Zoey is a knave. No contradiction is found in their false claim that Michael is a knight and Noah is a knave.", "Michael cannot be a knight, because this would contradict the claim of Noah that Zoey is a knight if and only if Michael is a knight.", "Assume Michael is a knave. No contradiction is found in their false claim that Noah is a knave.", "Assume Ava is a knight. No contradiction is found in their claim that Noah is a knight if and only if Michael is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 5), ('telling-truth', 1)), ('and', ('telling-truth', 6), ('lying', 2)), ('<=>', ('telling-truth', 1), ('telling-truth', 6)), ('->', ('telling-truth', 5), ('telling-truth', 0)), ('<=>', ('telling-truth', 2), ('lying', 6)), ('and', ('lying', 3), ('lying', 2)), ('lying', 2))", "index": 867}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Penelope, Emma, Daniel, Liam, Sophia, Aria, and Amelia. Penelope said, \"If Sophia is a knave then Amelia is a knave.\" According to Emma, \"Aria is a knave if and only if Liam is a knight\". \"If Sophia is a knight then Emma is a knave,\" Daniel mentioned. In a statement by Liam: \"Emma is a knave if and only if Penelope is a knave\". \"Daniel is a knave,\" Sophia declared. \"Sophia is a knight and Penelope is a knight,\" Aria claimed. \"Emma is not a knight,\" Amelia declared. So who is a knight and who is a knave?", "names": ["Penelope", "Emma", "Daniel", "Liam", "Sophia", "Aria", "Amelia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, false, false, false], "solution_text": "Penelope is a knight, Emma is a knight, Daniel is a knight, Liam is a knight, Sophia is a knave, Aria is a knave, and Amelia is a knave.", "solution_text_format": "(1) Penelope is a knight\n(2) Emma is a knight\n(3) Daniel is a knight\n(4) Liam is a knight\n(5) Sophia is a knave\n(6) Aria is a knave\n(7) Amelia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Penelope is a knight. No contradiction is found in their claim that If Sophia is a knave then Amelia is a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that Daniel is a knave.", "Daniel cannot be a knight, because this would contradict the claim of Sophia that Daniel is a knave.", "Assume Daniel is a knave. No contradiction is found in their false claim that If Sophia is a knight then Emma is a knave.", "Assume Emma is a knight. No contradiction is found in their claim that Aria is a knave if and only if Liam is a knight.", "Assume Aria is a knight. No contradiction is found in their claim that Sophia is a knight and Penelope is a knight.", "Liam cannot be a knight, because this would contradict the claim of Emma that Aria is a knave if and only if Liam is a knight.", "Liam cannot be a knave, because this would contradict the false claim of their own that Emma is a knave if and only if Penelope is a knave.", "We have exhausted all possibilities for Liam, so let us go back and reconsider Aria.", "Aria cannot be a knave, because this would contradict the false claim of their own that Sophia is a knight and Penelope is a knight.", "We have exhausted all possibilities for Aria, so let us go back and reconsider Emma.", "Emma cannot be a knave, because this would contradict the false claim of Daniel that If Sophia is a knight then Emma is a knave.", "We have exhausted all possibilities for Emma and Daniel, so let us go back and reconsider Sophia.", "Assume Sophia is a knave. No contradiction is found in their false claim that Daniel is a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that If Sophia is a knight then Emma is a knave.", "Assume Emma is a knight. No contradiction is found in their claim that Aria is a knave if and only if Liam is a knight.", "Aria cannot be a knight, because this would contradict the claim of their own that Sophia is a knight and Penelope is a knight.", "Assume Aria is a knave. No contradiction is found in their false claim that Sophia is a knight and Penelope is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that Emma is a knave if and only if Penelope is a knave.", "Amelia cannot be a knight, because this would contradict the claim of Penelope that If Sophia is a knave then Amelia is a knave.", "Assume Amelia is a knave. No contradiction is found in their false claim that Emma is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 4), ('lying', 6)), ('<=>', ('lying', 5), ('telling-truth', 3)), ('->', ('telling-truth', 4), ('lying', 1)), ('<=>', ('lying', 1), ('lying', 0)), ('lying', 2), ('and', ('telling-truth', 4), ('telling-truth', 0)), ('not', ('telling-truth', 1)))", "index": 868}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Logan, Michael, Penelope, Emma, Joseph, Aria, and Ella. In Logan's words: \"Aria is not a knight\". In a statement by Michael: \"If Logan is a knave then Michael is a knight\". Penelope said that If Aria is a knight then Ella is a knave. Emma said, \"Ella is a knight or Michael is a knave.\" In a statement by Joseph: \"Penelope is a knave and Logan is a knight\". Aria commented, \"Michael is a knight\". Ella stated, \"Joseph is a knight if and only if Michael is a knight\". So who is a knight and who is a knave?", "names": ["Logan", "Michael", "Penelope", "Emma", "Joseph", "Aria", "Ella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false, false, true, false], "solution_text": "Logan is a knave, Michael is a knight, Penelope is a knight, Emma is a knave, Joseph is a knave, Aria is a knight, and Ella is a knave.", "solution_text_format": "(1) Logan is a knave\n(2) Michael is a knight\n(3) Penelope is a knight\n(4) Emma is a knave\n(5) Joseph is a knave\n(6) Aria is a knight\n(7) Ella is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Logan is a knight. No contradiction is found in their claim that Aria is not a knight.", "Aria cannot be a knight, because this would contradict the claim of Logan that Aria is not a knight.", "Assume Aria is a knave. No contradiction is found in their false claim that Michael is a knight.", "Michael cannot be a knight, because this would contradict the false claim of Aria that Michael is a knight.", "Michael cannot be a knave, because this would contradict the false claim of their own that If Logan is a knave then Michael is a knight.", "We have exhausted all possibilities for Michael and Aria, so let us go back and reconsider Logan.", "Assume Logan is a knave. No contradiction is found in their false claim that Aria is not a knight.", "Assume Aria is a knight. No contradiction is found in their claim that Michael is a knight.", "Assume Michael is a knight. No contradiction is found in their claim that If Logan is a knave then Michael is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that If Aria is a knight then Ella is a knave.", "Ella cannot be a knight, because this would contradict the claim of Penelope that If Aria is a knight then Ella is a knave.", "Assume Ella is a knave. No contradiction is found in their false claim that Joseph is a knight if and only if Michael is a knight.", "Joseph cannot be a knight, because this would contradict the claim of their own that Penelope is a knave and Logan is a knight.", "Assume Joseph is a knave. No contradiction is found in their false claim that Penelope is a knave and Logan is a knight.", "Emma cannot be a knight, because this would contradict the claim of their own that Ella is a knight or Michael is a knave.", "Assume Emma is a knave. No contradiction is found in their false claim that Ella is a knight or Michael is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 5)), ('->', ('lying', 0), ('telling-truth', 1)), ('->', ('telling-truth', 5), ('lying', 6)), ('or', ('telling-truth', 6), ('lying', 1)), ('and', ('lying', 2), ('telling-truth', 0)), ('telling-truth', 1), ('<=>', ('telling-truth', 4), ('telling-truth', 1)))", "index": 869}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Ethan, Ava, Sebastian, Zoey, Ella, Aurora, and Aiden. In Ethan's words: \"Zoey is a knight and Aiden is a knight\". Ava remarked, \"Aurora is a knight if and only if Zoey is a knight\". Sebastian was heard saying, \"Ella is not a knight\". Zoey stated, \"If Aurora is a knave then Ethan is a knight\". As Ella put it, \"Ava is a knave and Zoey is a knight\". Aurora said that If Zoey is a knight then Zoey is a knave. In Aiden's words: \"Ethan is a knight\". So who is a knight and who is a knave?", "names": ["Ethan", "Ava", "Sebastian", "Zoey", "Ella", "Aurora", "Aiden"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, true, false, true], "solution_text": "Ethan is a knight, Ava is a knave, Sebastian is a knave, Zoey is a knight, Ella is a knight, Aurora is a knave, and Aiden is a knight.", "solution_text_format": "(1) Ethan is a knight\n(2) Ava is a knave\n(3) Sebastian is a knave\n(4) Zoey is a knight\n(5) Ella is a knight\n(6) Aurora is a knave\n(7) Aiden is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ethan is a knight. No contradiction is found in their claim that Zoey is a knight and Aiden is a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that If Aurora is a knave then Ethan is a knight.", "Aurora cannot be a knight, because this would contradict the claim of their own that If Zoey is a knight then Zoey is a knave.", "Assume Aurora is a knave. No contradiction is found in their false claim that If Zoey is a knight then Zoey is a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that Ethan is a knight.", "Ava cannot be a knight, because this would contradict the claim of their own that Aurora is a knight if and only if Zoey is a knight.", "Assume Ava is a knave. No contradiction is found in their false claim that Aurora is a knight if and only if Zoey is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Ella is not a knight.", "Ella cannot be a knight, because this would contradict the claim of Sebastian that Ella is not a knight.", "Ella cannot be a knave, because this would contradict the false claim of their own that Ava is a knave and Zoey is a knight.", "We have exhausted all possibilities for Ella, so let us go back and reconsider Sebastian.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Ella is not a knight.", "Assume Ella is a knight. No contradiction is found in their claim that Ava is a knave and Zoey is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 3), ('telling-truth', 6)), ('<=>', ('telling-truth', 5), ('telling-truth', 3)), ('not', ('telling-truth', 4)), ('->', ('lying', 5), ('telling-truth', 0)), ('and', ('lying', 1), ('telling-truth', 3)), ('->', ('telling-truth', 3), ('lying', 3)), ('telling-truth', 0))", "index": 870}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Jacob, Jack, Aria, Mia, Daniel, Sophia, and Isabella. According to Jacob, \"Isabella is a knave if and only if Jack is a knave\". In a statement by Jack: \"Mia is a knave\". Aria asserted: \"If Mia is a knight then Mia is a knave\". In a statement by Mia: \"Daniel is not a knave\". In a statement by Daniel: \"Jacob is a knight if and only if Mia is a knave\". Sophia said, \"If Isabella is a knight then Aria is a knave.\" In Isabella's words: \"Jacob is a knight\". So who is a knight and who is a knave?", "names": ["Jacob", "Jack", "Aria", "Mia", "Daniel", "Sophia", "Isabella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false, false, true, false], "solution_text": "Jacob is a knave, Jack is a knight, Aria is a knight, Mia is a knave, Daniel is a knave, Sophia is a knight, and Isabella is a knave.", "solution_text_format": "(1) Jacob is a knave\n(2) Jack is a knight\n(3) Aria is a knight\n(4) Mia is a knave\n(5) Daniel is a knave\n(6) Sophia is a knight\n(7) Isabella is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jacob is a knight. No contradiction is found in their claim that Isabella is a knave if and only if Jack is a knave.", "Assume Isabella is a knight. No contradiction is found in their claim that Jacob is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that Mia is a knave.", "Mia cannot be a knight, because this would contradict the claim of Jack that Mia is a knave.", "Assume Mia is a knave. No contradiction is found in their false claim that Daniel is not a knave.", "Daniel cannot be a knight, because this would contradict the false claim of Mia that Daniel is not a knave.", "Daniel cannot be a knave, because this would contradict the false claim of their own that Jacob is a knight if and only if Mia is a knave.", "We have exhausted all possibilities for Daniel and Mia, so let us go back and reconsider Jack.", "Jack cannot be a knave, because this would contradict the claim of Jacob that Isabella is a knave if and only if Jack is a knave.", "We have exhausted all possibilities for Jack, so let us go back and reconsider Isabella.", "Isabella cannot be a knave, because this would contradict the false claim of their own that Jacob is a knight.", "We have exhausted all possibilities for Isabella, so let us go back and reconsider Jacob.", "Assume Jacob is a knave. No contradiction is found in their false claim that Isabella is a knave if and only if Jack is a knave.", "Isabella cannot be a knight, because this would contradict the claim of their own that Jacob is a knight.", "Assume Isabella is a knave. No contradiction is found in their false claim that Jacob is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that Mia is a knave.", "Mia cannot be a knight, because this would contradict the claim of Jack that Mia is a knave.", "Assume Mia is a knave. No contradiction is found in their false claim that Daniel is not a knave.", "Daniel cannot be a knight, because this would contradict the false claim of Mia that Daniel is not a knave.", "Assume Daniel is a knave. No contradiction is found in their false claim that Jacob is a knight if and only if Mia is a knave.", "Assume Aria is a knight. No contradiction is found in their claim that If Mia is a knight then Mia is a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that If Isabella is a knight then Aria is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 6), ('lying', 1)), ('lying', 3), ('->', ('telling-truth', 3), ('lying', 3)), ('not', ('lying', 4)), ('<=>', ('telling-truth', 0), ('lying', 3)), ('->', ('telling-truth', 6), ('lying', 2)), ('telling-truth', 0))", "index": 871}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Michael, Harper, Avery, Emily, Charlotte, Ethan, and Sophia. Michael remarked, \"Harper is a knight\". \"Ethan is a knight if and only if Avery is a knight,\" Harper mentioned. Avery commented, \"Charlotte is a knight or Charlotte is a knave\". Emily commented, \"Sophia is a knight\". \"Avery is a knave or Emily is a knave,\" Charlotte mentioned. \"Emily is a knight if and only if Charlotte is a knave,\" Ethan declared. Sophia stated, \"If Michael is a knave then Sophia is a knight\". So who is a knight and who is a knave?", "names": ["Michael", "Harper", "Avery", "Emily", "Charlotte", "Ethan", "Sophia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, false, true, true], "solution_text": "Michael is a knight, Harper is a knight, Avery is a knight, Emily is a knight, Charlotte is a knave, Ethan is a knight, and Sophia is a knight.", "solution_text_format": "(1) Michael is a knight\n(2) Harper is a knight\n(3) Avery is a knight\n(4) Emily is a knight\n(5) Charlotte is a knave\n(6) Ethan is a knight\n(7) Sophia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Michael is a knight. No contradiction is found in their claim that Harper is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that Ethan is a knight if and only if Avery is a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that Emily is a knight if and only if Charlotte is a knave.", "Assume Emily is a knight. No contradiction is found in their claim that Sophia is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that If Michael is a knave then Sophia is a knight.", "Charlotte cannot be a knight, because this would contradict the claim of Ethan that Emily is a knight if and only if Charlotte is a knave.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Avery is a knave or Emily is a knave.", "Assume Avery is a knight. No contradiction is found in their claim that Charlotte is a knight or Charlotte is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 1), ('<=>', ('telling-truth', 5), ('telling-truth', 2)), ('or', ('telling-truth', 4), ('lying', 4)), ('telling-truth', 6), ('or', ('lying', 2), ('lying', 3)), ('<=>', ('telling-truth', 3), ('lying', 4)), ('->', ('lying', 0), ('telling-truth', 6)))", "index": 872}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Harper, Logan, Ella, Elizabeth, Mia, Isabella, and Amelia. In Harper's words: \"Mia is not a knave\". In Logan's words: \"If Harper is a knave then Mia is a knight\". Ella stated, \"Isabella is a knave and Amelia is a knave\". Elizabeth asserted: \"Isabella is a knave if and only if Logan is a knave\". In Mia's words: \"Isabella is a knave or Elizabeth is a knight\". \"Ella is a knave if and only if Harper is a knight,\" Isabella claimed. Amelia said that Elizabeth is a knave and Ella is a knight. So who is a knight and who is a knave?", "names": ["Harper", "Logan", "Ella", "Elizabeth", "Mia", "Isabella", "Amelia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true, true, true, false], "solution_text": "Harper is a knight, Logan is a knight, Ella is a knave, Elizabeth is a knight, Mia is a knight, Isabella is a knight, and Amelia is a knave.", "solution_text_format": "(1) Harper is a knight\n(2) Logan is a knight\n(3) Ella is a knave\n(4) Elizabeth is a knight\n(5) Mia is a knight\n(6) Isabella is a knight\n(7) Amelia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Harper is a knight. No contradiction is found in their claim that Mia is not a knave.", "Assume Mia is a knight. No contradiction is found in their claim that Isabella is a knave or Elizabeth is a knight.", "Assume Isabella is a knight. No contradiction is found in their claim that Ella is a knave if and only if Harper is a knight.", "Ella cannot be a knight, because this would contradict the claim of their own that Isabella is a knave and Amelia is a knave.", "Assume Ella is a knave. No contradiction is found in their false claim that Isabella is a knave and Amelia is a knave.", "Amelia cannot be a knight, because this would contradict the claim of their own that Elizabeth is a knave and Ella is a knight.", "Assume Amelia is a knave. No contradiction is found in their false claim that Elizabeth is a knave and Ella is a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Isabella is a knave if and only if Logan is a knave.", "Assume Logan is a knight. No contradiction is found in their claim that If Harper is a knave then Mia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 4)), ('->', ('lying', 0), ('telling-truth', 4)), ('and', ('lying', 5), ('lying', 6)), ('<=>', ('lying', 5), ('lying', 1)), ('or', ('lying', 5), ('telling-truth', 3)), ('<=>', ('lying', 2), ('telling-truth', 0)), ('and', ('lying', 3), ('telling-truth', 2)))", "index": 873}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Daniel, Owen, Michael, William, Sofia, Joseph, and Avery. According to Daniel, \"Owen is a knight\". \"William is a knave and Joseph is a knave,\" Owen mentioned. Michael said, \"Sofia is a knave if and only if Michael is a knight.\" According to William, \"Owen is a knave and Avery is a knight\". In a statement by Sofia: \"Sofia is a knight or Joseph is a knave\". Joseph told you that William is a knight if and only if Michael is a knave. \"Joseph is a knight or Joseph is a knave,\" Avery mentioned. So who is a knight and who is a knave?", "names": ["Daniel", "Owen", "Michael", "William", "Sofia", "Joseph", "Avery"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true, false, true, true], "solution_text": "Daniel is a knave, Owen is a knave, Michael is a knave, William is a knight, Sofia is a knave, Joseph is a knight, and Avery is a knight.", "solution_text_format": "(1) Daniel is a knave\n(2) Owen is a knave\n(3) Michael is a knave\n(4) William is a knight\n(5) Sofia is a knave\n(6) Joseph is a knight\n(7) Avery is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Daniel is a knight. No contradiction is found in their claim that Owen is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that William is a knave and Joseph is a knave.", "William cannot be a knight, because this would contradict the claim of Owen that William is a knave and Joseph is a knave.", "Assume William is a knave. No contradiction is found in their false claim that Owen is a knave and Avery is a knight.", "Assume Avery is a knight. No contradiction is found in their claim that Joseph is a knight or Joseph is a knave.", "Joseph cannot be a knight, because this would contradict the claim of Owen that William is a knave and Joseph is a knave.", "Assume Joseph is a knave. No contradiction is found in their false claim that William is a knight if and only if Michael is a knave.", "Michael cannot be a knight, because this would contradict the false claim of Joseph that William is a knight if and only if Michael is a knave.", "Assume Michael is a knave. No contradiction is found in their false claim that Sofia is a knave if and only if Michael is a knight.", "Sofia cannot be a knight, because this would contradict the false claim of Michael that Sofia is a knave if and only if Michael is a knight.", "Sofia cannot be a knave, because this would contradict the false claim of their own that Sofia is a knight or Joseph is a knave.", "We have exhausted all possibilities for Sofia, Michael, and Joseph, so let us go back and reconsider Avery.", "Avery cannot be a knave, because this would contradict the false claim of their own that Joseph is a knight or Joseph is a knave.", "We have exhausted all possibilities for Avery and William, so let us go back and reconsider Owen.", "Owen cannot be a knave, because this would contradict the claim of Daniel that Owen is a knight.", "We have exhausted all possibilities for Owen, so let us go back and reconsider Daniel.", "Assume Daniel is a knave. No contradiction is found in their false claim that Owen is a knight.", "Owen cannot be a knight, because this would contradict the false claim of Daniel that Owen is a knight.", "Assume Owen is a knave. No contradiction is found in their false claim that William is a knave and Joseph is a knave.", "Assume William is a knight. No contradiction is found in their claim that Owen is a knave and Avery is a knight.", "Assume Avery is a knight. No contradiction is found in their claim that Joseph is a knight or Joseph is a knave.", "Assume Joseph is a knight. No contradiction is found in their claim that William is a knight if and only if Michael is a knave.", "Michael cannot be a knight, because this would contradict the claim of Joseph that William is a knight if and only if Michael is a knave.", "Assume Michael is a knave. No contradiction is found in their false claim that Sofia is a knave if and only if Michael is a knight.", "Sofia cannot be a knight, because this would contradict the false claim of Michael that Sofia is a knave if and only if Michael is a knight.", "Assume Sofia is a knave. No contradiction is found in their false claim that Sofia is a knight or Joseph is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 1), ('and', ('lying', 3), ('lying', 5)), ('<=>', ('lying', 4), ('telling-truth', 2)), ('and', ('lying', 1), ('telling-truth', 6)), ('or', ('telling-truth', 4), ('lying', 5)), ('<=>', ('telling-truth', 3), ('lying', 2)), ('or', ('telling-truth', 5), ('lying', 5)))", "index": 874}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Isabella, Henry, Aurora, Abigail, William, Harper, and Mia. Isabella told you that Mia is not a knave. \"William is a knave or Isabella is a knight,\" Henry declared. In a statement by Aurora: \"Abigail is a knight or Mia is a knight\". \"Henry is a knight and Isabella is a knight,\" Abigail claimed. William expressed that Isabella is not a knight. In Harper's words: \"William is a knight and Aurora is a knight\". Mia expressed that Aurora is a knight if and only if William is a knight. So who is a knight and who is a knave?", "names": ["Isabella", "Henry", "Aurora", "Abigail", "William", "Harper", "Mia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, false, true, false, false], "solution_text": "Isabella is a knave, Henry is a knave, Aurora is a knave, Abigail is a knave, William is a knight, Harper is a knave, and Mia is a knave.", "solution_text_format": "(1) Isabella is a knave\n(2) Henry is a knave\n(3) Aurora is a knave\n(4) Abigail is a knave\n(5) William is a knight\n(6) Harper is a knave\n(7) Mia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Isabella is a knight. No contradiction is found in their claim that Mia is not a knave.", "Assume Mia is a knight. No contradiction is found in their claim that Aurora is a knight if and only if William is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that Abigail is a knight or Mia is a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that Henry is a knight and Isabella is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that William is a knave or Isabella is a knight.", "William cannot be a knight, because this would contradict the claim of their own that Isabella is not a knight.", "William cannot be a knave, because this would contradict the claim of Mia that Aurora is a knight if and only if William is a knight.", "We have exhausted all possibilities for William, so let us go back and reconsider Henry.", "Henry cannot be a knave, because this would contradict the false claim of their own that William is a knave or Isabella is a knight.", "We have exhausted all possibilities for Henry, so let us go back and reconsider Abigail.", "Assume Abigail is a knave. No contradiction is found in their false claim that Henry is a knight and Isabella is a knight.", "Henry cannot be a knight, because this would contradict the false claim of Abigail that Henry is a knight and Isabella is a knight.", "Henry cannot be a knave, because this would contradict the false claim of their own that William is a knave or Isabella is a knight.", "We have exhausted all possibilities for Henry and Abigail, so let us go back and reconsider Aurora.", "Aurora cannot be a knave, because this would contradict the false claim of their own that Abigail is a knight or Mia is a knight.", "We have exhausted all possibilities for Aurora, so let us go back and reconsider Mia.", "Mia cannot be a knave, because this would contradict the claim of Isabella that Mia is not a knave.", "We have exhausted all possibilities for Mia, so let us go back and reconsider Isabella.", "Assume Isabella is a knave. No contradiction is found in their false claim that Mia is not a knave.", "Mia cannot be a knight, because this would contradict the false claim of Isabella that Mia is not a knave.", "Assume Mia is a knave. No contradiction is found in their false claim that Aurora is a knight if and only if William is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that Abigail is a knight or Mia is a knight.", "Abigail cannot be a knight, because this would contradict the claim of their own that Henry is a knight and Isabella is a knight.", "Abigail cannot be a knave, because this would contradict the claim of Aurora that Abigail is a knight or Mia is a knight.", "We have exhausted all possibilities for Abigail, so let us go back and reconsider Aurora.", "Assume Aurora is a knave. No contradiction is found in their false claim that Abigail is a knight or Mia is a knight.", "Abigail cannot be a knight, because this would contradict the false claim of Aurora that Abigail is a knight or Mia is a knight.", "Assume Abigail is a knave. No contradiction is found in their false claim that Henry is a knight and Isabella is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that William is a knave or Isabella is a knight.", "William cannot be a knight, because this would contradict the claim of Henry that William is a knave or Isabella is a knight.", "William cannot be a knave, because this would contradict the false claim of their own that Isabella is not a knight.", "We have exhausted all possibilities for William, so let us go back and reconsider Henry.", "Assume Henry is a knave. No contradiction is found in their false claim that William is a knave or Isabella is a knight.", "Assume William is a knight. No contradiction is found in their claim that Isabella is not a knight.", "Harper cannot be a knight, because this would contradict the claim of their own that William is a knight and Aurora is a knight.", "Assume Harper is a knave. No contradiction is found in their false claim that William is a knight and Aurora is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 6)), ('or', ('lying', 4), ('telling-truth', 0)), ('or', ('telling-truth', 3), ('telling-truth', 6)), ('and', ('telling-truth', 1), ('telling-truth', 0)), ('not', ('telling-truth', 0)), ('and', ('telling-truth', 4), ('telling-truth', 2)), ('<=>', ('telling-truth', 2), ('telling-truth', 4)))", "index": 875}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Michael, Joseph, Liam, Mason, James, Lily, and Jack. Michael commented, \"If Michael is a knight then Joseph is a knight\". Joseph expressed that Joseph is a knight or Mason is a knight. Liam stated, \"If James is a knave then Lily is a knave\". Mason noted, \"Lily is a knight if and only if Jack is a knight\". James said, \"Joseph is not a knight.\" Lily commented, \"Jack is a knight\". \"Michael is a knave and Joseph is a knave,\" Jack declared. So who is a knight and who is a knave?", "names": ["Michael", "Joseph", "Liam", "Mason", "James", "Lily", "Jack"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, false, false, false], "solution_text": "Michael is a knight, Joseph is a knight, Liam is a knight, Mason is a knight, James is a knave, Lily is a knave, and Jack is a knave.", "solution_text_format": "(1) Michael is a knight\n(2) Joseph is a knight\n(3) Liam is a knight\n(4) Mason is a knight\n(5) James is a knave\n(6) Lily is a knave\n(7) Jack is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Michael is a knight. No contradiction is found in their claim that If Michael is a knight then Joseph is a knight.", "Assume Joseph is a knight. No contradiction is found in their claim that Joseph is a knight or Mason is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that Lily is a knight if and only if Jack is a knight.", "Assume Lily is a knight. No contradiction is found in their claim that Jack is a knight.", "Jack cannot be a knight, because this would contradict the claim of their own that Michael is a knave and Joseph is a knave.", "Jack cannot be a knave, because this would contradict the claim of Mason that Lily is a knight if and only if Jack is a knight.", "We have exhausted all possibilities for Jack, so let us go back and reconsider Lily.", "Assume Lily is a knave. No contradiction is found in their false claim that Jack is a knight.", "Jack cannot be a knight, because this would contradict the claim of Mason that Lily is a knight if and only if Jack is a knight.", "Assume Jack is a knave. No contradiction is found in their false claim that Michael is a knave and Joseph is a knave.", "Assume Liam is a knight. No contradiction is found in their claim that If James is a knave then Lily is a knave.", "James cannot be a knight, because this would contradict the claim of their own that Joseph is not a knight.", "Assume James is a knave. No contradiction is found in their false claim that Joseph is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 0), ('telling-truth', 1)), ('or', ('telling-truth', 1), ('telling-truth', 3)), ('->', ('lying', 4), ('lying', 5)), ('<=>', ('telling-truth', 5), ('telling-truth', 6)), ('not', ('telling-truth', 1)), ('telling-truth', 6), ('and', ('lying', 0), ('lying', 1)))", "index": 876}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Samuel, Benjamin, Henry, Jacob, Aiden, Ella, and Michael. Samuel commented, \"Henry is a knave and Benjamin is a knight\". \"Jacob is a knave,\" Benjamin declared. Henry remarked, \"Benjamin is a knight\". Jacob was heard saying, \"Michael is a knight if and only if Aiden is a knight\". Aiden noted, \"Jacob is not a knight\". \"Benjamin is not a knave,\" Ella declared. In a statement by Michael: \"If Ella is a knight then Samuel is a knight\". So who is a knight and who is a knave?", "names": ["Samuel", "Benjamin", "Henry", "Jacob", "Aiden", "Ella", "Michael"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false, true, true, false], "solution_text": "Samuel is a knave, Benjamin is a knight, Henry is a knight, Jacob is a knave, Aiden is a knight, Ella is a knight, and Michael is a knave.", "solution_text_format": "(1) Samuel is a knave\n(2) Benjamin is a knight\n(3) Henry is a knight\n(4) Jacob is a knave\n(5) Aiden is a knight\n(6) Ella is a knight\n(7) Michael is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Samuel is a knight. No contradiction is found in their claim that Henry is a knave and Benjamin is a knight.", "Henry cannot be a knight, because this would contradict the claim of Samuel that Henry is a knave and Benjamin is a knight.", "Assume Henry is a knave. No contradiction is found in their false claim that Benjamin is a knight.", "Benjamin cannot be a knight, because this would contradict the false claim of Henry that Benjamin is a knight.", "Benjamin cannot be a knave, because this would contradict the claim of Samuel that Henry is a knave and Benjamin is a knight.", "We have exhausted all possibilities for Benjamin and Henry, so let us go back and reconsider Samuel.", "Assume Samuel is a knave. No contradiction is found in their false claim that Henry is a knave and Benjamin is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that Benjamin is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that Jacob is a knave.", "Jacob cannot be a knight, because this would contradict the claim of Benjamin that Jacob is a knave.", "Assume Jacob is a knave. No contradiction is found in their false claim that Michael is a knight if and only if Aiden is a knight.", "Assume Michael is a knight. No contradiction is found in their claim that If Ella is a knight then Samuel is a knight.", "Ella cannot be a knight, because this would contradict the claim of Michael that If Ella is a knight then Samuel is a knight.", "Ella cannot be a knave, because this would contradict the false claim of their own that Benjamin is not a knave.", "We have exhausted all possibilities for Ella, so let us go back and reconsider Michael.", "Assume Michael is a knave. No contradiction is found in their false claim that If Ella is a knight then Samuel is a knight.", "Assume Ella is a knight. No contradiction is found in their claim that Benjamin is not a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that Jacob is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('telling-truth', 1)), ('lying', 3), ('telling-truth', 1), ('<=>', ('telling-truth', 6), ('telling-truth', 4)), ('not', ('telling-truth', 3)), ('not', ('lying', 1)), ('->', ('telling-truth', 5), ('telling-truth', 0)))", "index": 877}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Samuel, Ella, Mason, Noah, Oliver, Alexander, and Chloe. Samuel was heard saying, \"Mason is a knight if and only if Ella is a knight\". Ella remarked, \"Oliver is a knave if and only if Ella is a knight\". \"Alexander is a knave or Mason is a knight\" - Mason. In Noah's words: \"Alexander is a knight and Samuel is a knave\". Oliver stated, \"Samuel is a knave and Chloe is a knight\". Alexander commented, \"Noah is a knight if and only if Ella is a knave\". In a statement by Chloe: \"If Ella is a knight then Samuel is a knight\". So who is a knight and who is a knave?", "names": ["Samuel", "Ella", "Mason", "Noah", "Oliver", "Alexander", "Chloe"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false, false, true, true], "solution_text": "Samuel is a knight, Ella is a knight, Mason is a knight, Noah is a knave, Oliver is a knave, Alexander is a knight, and Chloe is a knight.", "solution_text_format": "(1) Samuel is a knight\n(2) Ella is a knight\n(3) Mason is a knight\n(4) Noah is a knave\n(5) Oliver is a knave\n(6) Alexander is a knight\n(7) Chloe is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Samuel is a knight. No contradiction is found in their claim that Mason is a knight if and only if Ella is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that Alexander is a knave or Mason is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that Noah is a knight if and only if Ella is a knave.", "Noah cannot be a knight, because this would contradict the claim of their own that Alexander is a knight and Samuel is a knave.", "Assume Noah is a knave. No contradiction is found in their false claim that Alexander is a knight and Samuel is a knave.", "Assume Ella is a knight. No contradiction is found in their claim that Oliver is a knave if and only if Ella is a knight.", "Oliver cannot be a knight, because this would contradict the claim of Ella that Oliver is a knave if and only if Ella is a knight.", "Assume Oliver is a knave. No contradiction is found in their false claim that Samuel is a knave and Chloe is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that If Ella is a knight then Samuel is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 2), ('telling-truth', 1)), ('<=>', ('lying', 4), ('telling-truth', 1)), ('or', ('lying', 5), ('telling-truth', 2)), ('and', ('telling-truth', 5), ('lying', 0)), ('and', ('lying', 0), ('telling-truth', 6)), ('<=>', ('telling-truth', 3), ('lying', 1)), ('->', ('telling-truth', 1), ('telling-truth', 0)))", "index": 878}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Riley, Michael, Evelyn, David, Noah, Alexander, and Oliver. Riley stated, \"If Noah is a knight then David is a knave\". According to Michael, \"Riley is a knave if and only if David is a knave\". Evelyn said, \"Noah is a knight.\" David told you that Michael is a knight or Noah is a knave. \"Riley is a knight,\" Noah mentioned. Alexander remarked, \"Michael is a knight and Riley is a knave\". Oliver expressed that Noah is a knight and David is a knave. So who is a knight and who is a knave?", "names": ["Riley", "Michael", "Evelyn", "David", "Noah", "Alexander", "Oliver"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false, true, false, true], "solution_text": "Riley is a knight, Michael is a knave, Evelyn is a knight, David is a knave, Noah is a knight, Alexander is a knave, and Oliver is a knight.", "solution_text_format": "(1) Riley is a knight\n(2) Michael is a knave\n(3) Evelyn is a knight\n(4) David is a knave\n(5) Noah is a knight\n(6) Alexander is a knave\n(7) Oliver is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Riley is a knight. No contradiction is found in their claim that If Noah is a knight then David is a knave.", "Assume Noah is a knight. No contradiction is found in their claim that Riley is a knight.", "David cannot be a knight, because this would contradict the claim of Riley that If Noah is a knight then David is a knave.", "Assume David is a knave. No contradiction is found in their false claim that Michael is a knight or Noah is a knave.", "Michael cannot be a knight, because this would contradict the claim of their own that Riley is a knave if and only if David is a knave.", "Assume Michael is a knave. No contradiction is found in their false claim that Riley is a knave if and only if David is a knave.", "Assume Evelyn is a knight. No contradiction is found in their claim that Noah is a knight.", "Alexander cannot be a knight, because this would contradict the claim of their own that Michael is a knight and Riley is a knave.", "Assume Alexander is a knave. No contradiction is found in their false claim that Michael is a knight and Riley is a knave.", "Assume Oliver is a knight. No contradiction is found in their claim that Noah is a knight and David is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 4), ('lying', 3)), ('<=>', ('lying', 0), ('lying', 3)), ('telling-truth', 4), ('or', ('telling-truth', 1), ('lying', 4)), ('telling-truth', 0), ('and', ('telling-truth', 1), ('lying', 0)), ('and', ('telling-truth', 4), ('lying', 3)))", "index": 879}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Luke, William, Aurora, Amelia, Lucas, Charlotte, and Chloe. In a statement by Luke: \"Chloe is a knave and Chloe is a knight\". In William's words: \"Lucas is a knave\". Aurora said, \"Charlotte is a knight or Aurora is a knight.\" Amelia noted, \"Amelia is a knight or William is a knave\". In Lucas's words: \"Charlotte is a knight or Aurora is a knave\". Charlotte expressed that Chloe is a knight if and only if William is a knave. \"Lucas is a knight or William is a knave,\" Chloe declared. So who is a knight and who is a knave?", "names": ["Luke", "William", "Aurora", "Amelia", "Lucas", "Charlotte", "Chloe"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true, true, true, true], "solution_text": "Luke is a knave, William is a knave, Aurora is a knight, Amelia is a knight, Lucas is a knight, Charlotte is a knight, and Chloe is a knight.", "solution_text_format": "(1) Luke is a knave\n(2) William is a knave\n(3) Aurora is a knight\n(4) Amelia is a knight\n(5) Lucas is a knight\n(6) Charlotte is a knight\n(7) Chloe is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Luke cannot be a knight, because this would contradict the claim of their own that Chloe is a knave and Chloe is a knight.", "Assume Luke is a knave. No contradiction is found in their false claim that Chloe is a knave and Chloe is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that Lucas is a knight or William is a knave.", "Assume Lucas is a knight. No contradiction is found in their claim that Charlotte is a knight or Aurora is a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that Chloe is a knight if and only if William is a knave.", "William cannot be a knight, because this would contradict the claim of their own that Lucas is a knave.", "Assume William is a knave. No contradiction is found in their false claim that Lucas is a knave.", "Assume Aurora is a knight. No contradiction is found in their claim that Charlotte is a knight or Aurora is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that Amelia is a knight or William is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 6), ('telling-truth', 6)), ('lying', 4), ('or', ('telling-truth', 5), ('telling-truth', 2)), ('or', ('telling-truth', 3), ('lying', 1)), ('or', ('telling-truth', 5), ('lying', 2)), ('<=>', ('telling-truth', 6), ('lying', 1)), ('or', ('telling-truth', 4), ('lying', 1)))", "index": 880}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: William, Oliver, Abigail, Daniel, Mason, Chloe, and Alexander. William said that Alexander is not a knight. In a statement by Oliver: \"Mason is not a knight\". \"Mason is a knight and Daniel is a knight\" - Abigail. Daniel told you that Abigail is not a knight. In a statement by Mason: \"Oliver is not a knight\". In Chloe's words: \"William is not a knight\". In Alexander's words: \"Daniel is not a knight\". So who is a knight and who is a knave?", "names": ["William", "Oliver", "Abigail", "Daniel", "Mason", "Chloe", "Alexander"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true, false, false, false], "solution_text": "William is a knight, Oliver is a knight, Abigail is a knave, Daniel is a knight, Mason is a knave, Chloe is a knave, and Alexander is a knave.", "solution_text_format": "(1) William is a knight\n(2) Oliver is a knight\n(3) Abigail is a knave\n(4) Daniel is a knight\n(5) Mason is a knave\n(6) Chloe is a knave\n(7) Alexander is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume William is a knight. No contradiction is found in their claim that Alexander is not a knight.", "Alexander cannot be a knight, because this would contradict the claim of William that Alexander is not a knight.", "Assume Alexander is a knave. No contradiction is found in their false claim that Daniel is not a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that Abigail is not a knight.", "Abigail cannot be a knight, because this would contradict the claim of Daniel that Abigail is not a knight.", "Assume Abigail is a knave. No contradiction is found in their false claim that Mason is a knight and Daniel is a knight.", "Mason cannot be a knight, because this would contradict the false claim of Abigail that Mason is a knight and Daniel is a knight.", "Assume Mason is a knave. No contradiction is found in their false claim that Oliver is not a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that Mason is not a knight.", "Chloe cannot be a knight, because this would contradict the claim of their own that William is not a knight.", "Assume Chloe is a knave. No contradiction is found in their false claim that William is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 6)), ('not', ('telling-truth', 4)), ('and', ('telling-truth', 4), ('telling-truth', 3)), ('not', ('telling-truth', 2)), ('not', ('telling-truth', 1)), ('not', ('telling-truth', 0)), ('not', ('telling-truth', 3)))", "index": 881}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Owen, Amelia, Noah, Emma, Ava, Luke, and Emily. Owen was heard saying, \"Emma is a knave\". \"Emily is not a knight\" - Amelia. Noah commented, \"Luke is a knave and Ava is a knight\". Emma noted, \"Amelia is a knave if and only if Emma is a knight\". \"If Emily is a knave then Emma is a knight,\" Ava mentioned. \"Emma is not a knight,\" Luke claimed. Emily was heard saying, \"Luke is not a knight\". So who is a knight and who is a knave?", "names": ["Owen", "Amelia", "Noah", "Emma", "Ava", "Luke", "Emily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true, true, false, true], "solution_text": "Owen is a knave, Amelia is a knave, Noah is a knight, Emma is a knight, Ava is a knight, Luke is a knave, and Emily is a knight.", "solution_text_format": "(1) Owen is a knave\n(2) Amelia is a knave\n(3) Noah is a knight\n(4) Emma is a knight\n(5) Ava is a knight\n(6) Luke is a knave\n(7) Emily is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Owen is a knight. No contradiction is found in their claim that Emma is a knave.", "Emma cannot be a knight, because this would contradict the claim of Owen that Emma is a knave.", "Assume Emma is a knave. No contradiction is found in their false claim that Amelia is a knave if and only if Emma is a knight.", "Amelia cannot be a knight, because this would contradict the false claim of Emma that Amelia is a knave if and only if Emma is a knight.", "Assume Amelia is a knave. No contradiction is found in their false claim that Emily is not a knight.", "Assume Emily is a knight. No contradiction is found in their claim that Luke is not a knight.", "Luke cannot be a knight, because this would contradict the claim of Emily that Luke is not a knight.", "Luke cannot be a knave, because this would contradict the false claim of their own that Emma is not a knight.", "We have exhausted all possibilities for Luke, so let us go back and reconsider Emily.", "Emily cannot be a knave, because this would contradict the false claim of Amelia that Emily is not a knight.", "We have exhausted all possibilities for Emily, Amelia, and Emma, so let us go back and reconsider Owen.", "Assume Owen is a knave. No contradiction is found in their false claim that Emma is a knave.", "Assume Emma is a knight. No contradiction is found in their claim that Amelia is a knave if and only if Emma is a knight.", "Amelia cannot be a knight, because this would contradict the claim of Emma that Amelia is a knave if and only if Emma is a knight.", "Assume Amelia is a knave. No contradiction is found in their false claim that Emily is not a knight.", "Assume Emily is a knight. No contradiction is found in their claim that Luke is not a knight.", "Luke cannot be a knight, because this would contradict the claim of their own that Emma is not a knight.", "Assume Luke is a knave. No contradiction is found in their false claim that Emma is not a knight.", "Assume Noah is a knight. No contradiction is found in their claim that Luke is a knave and Ava is a knight.", "Assume Ava is a knight. No contradiction is found in their claim that If Emily is a knave then Emma is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 3), ('not', ('telling-truth', 6)), ('and', ('lying', 5), ('telling-truth', 4)), ('<=>', ('lying', 1), ('telling-truth', 3)), ('->', ('lying', 6), ('telling-truth', 3)), ('not', ('telling-truth', 3)), ('not', ('telling-truth', 5)))", "index": 882}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Ava, Lucas, Logan, Sofia, Riley, Mason, and Jacob. Ava remarked, \"If Sofia is a knave then Ava is a knight\". \"Sofia is not a knight,\" Lucas mentioned. In a statement by Logan: \"Sofia is a knight and Mason is a knight\". According to Sofia, \"If Sofia is a knight then Riley is a knight\". Riley expressed that Lucas is a knave if and only if Sofia is a knight. \"Ava is a knight or Sofia is a knave,\" Mason claimed. Jacob remarked, \"Lucas is a knight or Riley is a knave\". So who is a knight and who is a knave?", "names": ["Ava", "Lucas", "Logan", "Sofia", "Riley", "Mason", "Jacob"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, true, true, false], "solution_text": "Ava is a knight, Lucas is a knave, Logan is a knight, Sofia is a knight, Riley is a knight, Mason is a knight, and Jacob is a knave.", "solution_text_format": "(1) Ava is a knight\n(2) Lucas is a knave\n(3) Logan is a knight\n(4) Sofia is a knight\n(5) Riley is a knight\n(6) Mason is a knight\n(7) Jacob is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ava is a knight. No contradiction is found in their claim that If Sofia is a knave then Ava is a knight.", "Assume Sofia is a knight. No contradiction is found in their claim that If Sofia is a knight then Riley is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that Lucas is a knave if and only if Sofia is a knight.", "Lucas cannot be a knight, because this would contradict the claim of their own that Sofia is not a knight.", "Assume Lucas is a knave. No contradiction is found in their false claim that Sofia is not a knight.", "Assume Logan is a knight. No contradiction is found in their claim that Sofia is a knight and Mason is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that Ava is a knight or Sofia is a knave.", "Jacob cannot be a knight, because this would contradict the claim of their own that Lucas is a knight or Riley is a knave.", "Assume Jacob is a knave. No contradiction is found in their false claim that Lucas is a knight or Riley is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 3), ('telling-truth', 0)), ('not', ('telling-truth', 3)), ('and', ('telling-truth', 3), ('telling-truth', 5)), ('->', ('telling-truth', 3), ('telling-truth', 4)), ('<=>', ('lying', 1), ('telling-truth', 3)), ('or', ('telling-truth', 0), ('lying', 3)), ('or', ('telling-truth', 1), ('lying', 4)))", "index": 883}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Riley, Sebastian, David, Alexander, Scarlett, Amelia, and Mason. \"Mason is a knave if and only if Amelia is a knight,\" Riley claimed. As Sebastian put it, \"Riley is a knave and Amelia is a knight\". David expressed that If Scarlett is a knave then Scarlett is a knight. Alexander told you that Scarlett is a knight and Mason is a knave. Scarlett was heard saying, \"If Mason is a knight then Alexander is a knave\". Amelia was heard saying, \"Riley is a knave or Scarlett is a knight\". Mason remarked, \"David is a knight\". So who is a knight and who is a knave?", "names": ["Riley", "Sebastian", "David", "Alexander", "Scarlett", "Amelia", "Mason"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false, true, true, true], "solution_text": "Riley is a knave, Sebastian is a knight, David is a knight, Alexander is a knave, Scarlett is a knight, Amelia is a knight, and Mason is a knight.", "solution_text_format": "(1) Riley is a knave\n(2) Sebastian is a knight\n(3) David is a knight\n(4) Alexander is a knave\n(5) Scarlett is a knight\n(6) Amelia is a knight\n(7) Mason is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Riley is a knight. No contradiction is found in their claim that Mason is a knave if and only if Amelia is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that David is a knight.", "Assume David is a knight. No contradiction is found in their claim that If Scarlett is a knave then Scarlett is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that If Mason is a knight then Alexander is a knave.", "Alexander cannot be a knight, because this would contradict the claim of their own that Scarlett is a knight and Mason is a knave.", "Assume Alexander is a knave. No contradiction is found in their false claim that Scarlett is a knight and Mason is a knave.", "Amelia cannot be a knight, because this would contradict the claim of Riley that Mason is a knave if and only if Amelia is a knight.", "Amelia cannot be a knave, because this would contradict the false claim of their own that Riley is a knave or Scarlett is a knight.", "We have exhausted all possibilities for Amelia and Alexander, so let us go back and reconsider Scarlett.", "Scarlett cannot be a knave, because this would contradict the claim of David that If Scarlett is a knave then Scarlett is a knight.", "We have exhausted all possibilities for Scarlett, so let us go back and reconsider David.", "David cannot be a knave, because this would contradict the claim of Mason that David is a knight.", "We have exhausted all possibilities for David, so let us go back and reconsider Mason.", "Assume Mason is a knave. No contradiction is found in their false claim that David is a knight.", "David cannot be a knight, because this would contradict the false claim of Mason that David is a knight.", "Assume David is a knave. No contradiction is found in their false claim that If Scarlett is a knave then Scarlett is a knight.", "Scarlett cannot be a knight, because this would contradict the false claim of David that If Scarlett is a knave then Scarlett is a knight.", "Scarlett cannot be a knave, because this would contradict the false claim of their own that If Mason is a knight then Alexander is a knave.", "We have exhausted all possibilities for Scarlett, David, and Mason, so let us go back and reconsider Riley.", "Assume Riley is a knave. No contradiction is found in their false claim that Mason is a knave if and only if Amelia is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that David is a knight.", "Assume David is a knight. No contradiction is found in their claim that If Scarlett is a knave then Scarlett is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that If Mason is a knight then Alexander is a knave.", "Alexander cannot be a knight, because this would contradict the claim of their own that Scarlett is a knight and Mason is a knave.", "Assume Alexander is a knave. No contradiction is found in their false claim that Scarlett is a knight and Mason is a knave.", "Assume Amelia is a knight. No contradiction is found in their claim that Riley is a knave or Scarlett is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Riley is a knave and Amelia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 6), ('telling-truth', 5)), ('and', ('lying', 0), ('telling-truth', 5)), ('->', ('lying', 4), ('telling-truth', 4)), ('and', ('telling-truth', 4), ('lying', 6)), ('->', ('telling-truth', 6), ('lying', 3)), ('or', ('lying', 0), ('telling-truth', 4)), ('telling-truth', 2))", "index": 884}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Sebastian, Isabella, Lucas, James, Penelope, Ethan, and Samuel. \"Sebastian is a knight or Samuel is a knight,\" Sebastian mentioned. Isabella expressed that Ethan is not a knight. \"Isabella is a knave or James is a knight\" - Lucas. As James put it, \"Sebastian is a knave if and only if James is a knight\". \"If Isabella is a knight then Penelope is a knight,\" Penelope claimed. As Ethan put it, \"Isabella is a knight and Lucas is a knave\". Samuel was heard saying, \"Penelope is a knight\". So who is a knight and who is a knave?", "names": ["Sebastian", "Isabella", "Lucas", "James", "Penelope", "Ethan", "Samuel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, false, false, false], "solution_text": "Sebastian is a knave, Isabella is a knight, Lucas is a knight, James is a knight, Penelope is a knave, Ethan is a knave, and Samuel is a knave.", "solution_text_format": "(1) Sebastian is a knave\n(2) Isabella is a knight\n(3) Lucas is a knight\n(4) James is a knight\n(5) Penelope is a knave\n(6) Ethan is a knave\n(7) Samuel is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sebastian is a knight. No contradiction is found in their claim that Sebastian is a knight or Samuel is a knight.", "Assume Samuel is a knight. No contradiction is found in their claim that Penelope is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that If Isabella is a knight then Penelope is a knight.", "Assume Isabella is a knight. No contradiction is found in their claim that Ethan is not a knight.", "Ethan cannot be a knight, because this would contradict the claim of Isabella that Ethan is not a knight.", "Assume Ethan is a knave. No contradiction is found in their false claim that Isabella is a knight and Lucas is a knave.", "Assume Lucas is a knight. No contradiction is found in their claim that Isabella is a knave or James is a knight.", "James cannot be a knight, because this would contradict the claim of their own that Sebastian is a knave if and only if James is a knight.", "James cannot be a knave, because this would contradict the claim of Lucas that Isabella is a knave or James is a knight.", "We have exhausted all possibilities for James, so let us go back and reconsider Lucas.", "Lucas cannot be a knave, because this would contradict the false claim of Ethan that Isabella is a knight and Lucas is a knave.", "We have exhausted all possibilities for Lucas and Ethan, so let us go back and reconsider Isabella.", "Assume Isabella is a knave. No contradiction is found in their false claim that Ethan is not a knight.", "Ethan cannot be a knight, because this would contradict the claim of their own that Isabella is a knight and Lucas is a knave.", "Ethan cannot be a knave, because this would contradict the false claim of Isabella that Ethan is not a knight.", "We have exhausted all possibilities for Ethan and Isabella, so let us go back and reconsider Penelope.", "Penelope cannot be a knave, because this would contradict the claim of Samuel that Penelope is a knight.", "We have exhausted all possibilities for Penelope, so let us go back and reconsider Samuel.", "Assume Samuel is a knave. No contradiction is found in their false claim that Penelope is a knight.", "Penelope cannot be a knight, because this would contradict the false claim of Samuel that Penelope is a knight.", "Assume Penelope is a knave. No contradiction is found in their false claim that If Isabella is a knight then Penelope is a knight.", "Assume Isabella is a knight. No contradiction is found in their claim that Ethan is not a knight.", "Ethan cannot be a knight, because this would contradict the claim of Isabella that Ethan is not a knight.", "Assume Ethan is a knave. No contradiction is found in their false claim that Isabella is a knight and Lucas is a knave.", "Assume Lucas is a knight. No contradiction is found in their claim that Isabella is a knave or James is a knight.", "James cannot be a knight, because this would contradict the claim of their own that Sebastian is a knave if and only if James is a knight.", "James cannot be a knave, because this would contradict the claim of Lucas that Isabella is a knave or James is a knight.", "We have exhausted all possibilities for James, so let us go back and reconsider Lucas.", "Lucas cannot be a knave, because this would contradict the false claim of Ethan that Isabella is a knight and Lucas is a knave.", "We have exhausted all possibilities for Lucas and Ethan, so let us go back and reconsider Isabella.", "Isabella cannot be a knave, because this would contradict the false claim of Penelope that If Isabella is a knight then Penelope is a knight.", "We have exhausted all possibilities for Isabella, Penelope, and Samuel, so let us go back and reconsider Sebastian.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Sebastian is a knight or Samuel is a knight.", "Samuel cannot be a knight, because this would contradict the false claim of Sebastian that Sebastian is a knight or Samuel is a knight.", "Assume Samuel is a knave. No contradiction is found in their false claim that Penelope is a knight.", "Penelope cannot be a knight, because this would contradict the false claim of Samuel that Penelope is a knight.", "Assume Penelope is a knave. No contradiction is found in their false claim that If Isabella is a knight then Penelope is a knight.", "Assume Isabella is a knight. No contradiction is found in their claim that Ethan is not a knight.", "Ethan cannot be a knight, because this would contradict the claim of Isabella that Ethan is not a knight.", "Assume Ethan is a knave. No contradiction is found in their false claim that Isabella is a knight and Lucas is a knave.", "Assume Lucas is a knight. No contradiction is found in their claim that Isabella is a knave or James is a knight.", "Assume James is a knight. No contradiction is found in their claim that Sebastian is a knave if and only if James is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 0), ('telling-truth', 6)), ('not', ('telling-truth', 5)), ('or', ('lying', 1), ('telling-truth', 3)), ('<=>', ('lying', 0), ('telling-truth', 3)), ('->', ('telling-truth', 1), ('telling-truth', 4)), ('and', ('telling-truth', 1), ('lying', 2)), ('telling-truth', 4))", "index": 885}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Grace, James, Elizabeth, Olivia, Aria, Ella, and Logan. \"If Grace is a knight then James is a knight\" - Grace. According to James, \"If Grace is a knight then Logan is a knight\". Elizabeth was heard saying, \"Aria is a knave\". \"Elizabeth is not a knight,\" Olivia claimed. Aria stated, \"If James is a knight then Ella is a knight\". \"Elizabeth is a knave and James is a knight,\" Ella mentioned. Logan was heard saying, \"Olivia is a knave or Elizabeth is a knight\". So who is a knight and who is a knave?", "names": ["Grace", "James", "Elizabeth", "Olivia", "Aria", "Ella", "Logan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false, false, false, true], "solution_text": "Grace is a knight, James is a knight, Elizabeth is a knight, Olivia is a knave, Aria is a knave, Ella is a knave, and Logan is a knight.", "solution_text_format": "(1) Grace is a knight\n(2) James is a knight\n(3) Elizabeth is a knight\n(4) Olivia is a knave\n(5) Aria is a knave\n(6) Ella is a knave\n(7) Logan is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Grace is a knight. No contradiction is found in their claim that If Grace is a knight then James is a knight.", "Assume James is a knight. No contradiction is found in their claim that If Grace is a knight then Logan is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that Olivia is a knave or Elizabeth is a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that Elizabeth is not a knight.", "Elizabeth cannot be a knight, because this would contradict the claim of Olivia that Elizabeth is not a knight.", "Elizabeth cannot be a knave, because this would contradict the claim of Logan that Olivia is a knave or Elizabeth is a knight.", "We have exhausted all possibilities for Elizabeth, so let us go back and reconsider Olivia.", "Assume Olivia is a knave. No contradiction is found in their false claim that Elizabeth is not a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Aria is a knave.", "Aria cannot be a knight, because this would contradict the claim of Elizabeth that Aria is a knave.", "Assume Aria is a knave. No contradiction is found in their false claim that If James is a knight then Ella is a knight.", "Ella cannot be a knight, because this would contradict the false claim of Aria that If James is a knight then Ella is a knight.", "Assume Ella is a knave. No contradiction is found in their false claim that Elizabeth is a knave and James is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 0), ('telling-truth', 1)), ('->', ('telling-truth', 0), ('telling-truth', 6)), ('lying', 4), ('not', ('telling-truth', 2)), ('->', ('telling-truth', 1), ('telling-truth', 5)), ('and', ('lying', 2), ('telling-truth', 1)), ('or', ('lying', 3), ('telling-truth', 2)))", "index": 886}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Jacob, William, Michael, Zoey, Jackson, Henry, and James. As Jacob put it, \"If Jackson is a knave then James is a knight\". William was heard saying, \"James is not a knight\". In a statement by Michael: \"If Jackson is a knight then James is a knave\". Zoey expressed that Jackson is not a knave. As Jackson put it, \"Jackson is a knight if and only if Michael is a knave\". Henry said that Zoey is a knight and James is a knight. James remarked, \"Jackson is a knight or Michael is a knight\". So who is a knight and who is a knave?", "names": ["Jacob", "William", "Michael", "Zoey", "Jackson", "Henry", "James"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, true, true, true], "solution_text": "Jacob is a knight, William is a knave, Michael is a knave, Zoey is a knight, Jackson is a knight, Henry is a knight, and James is a knight.", "solution_text_format": "(1) Jacob is a knight\n(2) William is a knave\n(3) Michael is a knave\n(4) Zoey is a knight\n(5) Jackson is a knight\n(6) Henry is a knight\n(7) James is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jacob is a knight. No contradiction is found in their claim that If Jackson is a knave then James is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that Jackson is a knight if and only if Michael is a knave.", "Michael cannot be a knight, because this would contradict the claim of Jackson that Jackson is a knight if and only if Michael is a knave.", "Assume Michael is a knave. No contradiction is found in their false claim that If Jackson is a knight then James is a knave.", "Assume James is a knight. No contradiction is found in their claim that Jackson is a knight or Michael is a knight.", "William cannot be a knight, because this would contradict the claim of their own that James is not a knight.", "Assume William is a knave. No contradiction is found in their false claim that James is not a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that Jackson is not a knave.", "Assume Henry is a knight. No contradiction is found in their claim that Zoey is a knight and James is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 4), ('telling-truth', 6)), ('not', ('telling-truth', 6)), ('->', ('telling-truth', 4), ('lying', 6)), ('not', ('lying', 4)), ('<=>', ('telling-truth', 4), ('lying', 2)), ('and', ('telling-truth', 3), ('telling-truth', 6)), ('or', ('telling-truth', 4), ('telling-truth', 2)))", "index": 887}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Sofia, Zoey, Emily, Ella, Penelope, Isabella, and Sophia. In a statement by Sofia: \"Zoey is a knight\". Zoey expressed that Penelope is a knave. Emily noted, \"Ella is a knight and Sophia is a knave\". According to Ella, \"If Isabella is a knave then Isabella is a knight\". \"Emily is a knight or Sophia is a knight\" - Penelope. Isabella commented, \"If Penelope is a knave then Sofia is a knight\". Sophia said, \"Zoey is not a knave.\" So who is a knight and who is a knave?", "names": ["Sofia", "Zoey", "Emily", "Ella", "Penelope", "Isabella", "Sophia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true, true, true, false], "solution_text": "Sofia is a knave, Zoey is a knave, Emily is a knight, Ella is a knight, Penelope is a knight, Isabella is a knight, and Sophia is a knave.", "solution_text_format": "(1) Sofia is a knave\n(2) Zoey is a knave\n(3) Emily is a knight\n(4) Ella is a knight\n(5) Penelope is a knight\n(6) Isabella is a knight\n(7) Sophia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sofia is a knight. No contradiction is found in their claim that Zoey is a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that Penelope is a knave.", "Penelope cannot be a knight, because this would contradict the claim of Zoey that Penelope is a knave.", "Assume Penelope is a knave. No contradiction is found in their false claim that Emily is a knight or Sophia is a knight.", "Emily cannot be a knight, because this would contradict the false claim of Penelope that Emily is a knight or Sophia is a knight.", "Assume Emily is a knave. No contradiction is found in their false claim that Ella is a knight and Sophia is a knave.", "Assume Ella is a knight. No contradiction is found in their claim that If Isabella is a knave then Isabella is a knight.", "Assume Isabella is a knight. No contradiction is found in their claim that If Penelope is a knave then Sofia is a knight.", "Sophia cannot be a knight, because this would contradict the false claim of Penelope that Emily is a knight or Sophia is a knight.", "Sophia cannot be a knave, because this would contradict the false claim of Emily that Ella is a knight and Sophia is a knave.", "We have exhausted all possibilities for Sophia, so let us go back and reconsider Isabella.", "Isabella cannot be a knave, because this would contradict the claim of Ella that If Isabella is a knave then Isabella is a knight.", "We have exhausted all possibilities for Isabella, so let us go back and reconsider Ella.", "Assume Ella is a knave. No contradiction is found in their false claim that If Isabella is a knave then Isabella is a knight.", "Isabella cannot be a knight, because this would contradict the false claim of Ella that If Isabella is a knave then Isabella is a knight.", "Isabella cannot be a knave, because this would contradict the false claim of their own that If Penelope is a knave then Sofia is a knight.", "We have exhausted all possibilities for Isabella, Ella, Emily, and Penelope, so let us go back and reconsider Zoey.", "Zoey cannot be a knave, because this would contradict the claim of Sofia that Zoey is a knight.", "We have exhausted all possibilities for Zoey, so let us go back and reconsider Sofia.", "Assume Sofia is a knave. No contradiction is found in their false claim that Zoey is a knight.", "Zoey cannot be a knight, because this would contradict the false claim of Sofia that Zoey is a knight.", "Assume Zoey is a knave. No contradiction is found in their false claim that Penelope is a knave.", "Assume Penelope is a knight. No contradiction is found in their claim that Emily is a knight or Sophia is a knight.", "Assume Emily is a knight. No contradiction is found in their claim that Ella is a knight and Sophia is a knave.", "Assume Ella is a knight. No contradiction is found in their claim that If Isabella is a knave then Isabella is a knight.", "Assume Isabella is a knight. No contradiction is found in their claim that If Penelope is a knave then Sofia is a knight.", "Sophia cannot be a knight, because this would contradict the claim of Emily that Ella is a knight and Sophia is a knave.", "Assume Sophia is a knave. No contradiction is found in their false claim that Zoey is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 1), ('lying', 4), ('and', ('telling-truth', 3), ('lying', 6)), ('->', ('lying', 5), ('telling-truth', 5)), ('or', ('telling-truth', 2), ('telling-truth', 6)), ('->', ('lying', 4), ('telling-truth', 0)), ('not', ('lying', 1)))", "index": 888}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Elizabeth, Owen, Mia, Riley, Benjamin, Lily, and Sebastian. In a statement by Elizabeth: \"If Mia is a knave then Lily is a knight\". \"Elizabeth is a knave,\" Owen declared. Mia commented, \"Owen is a knave\". According to Riley, \"Sebastian is a knave and Owen is a knave\". As Benjamin put it, \"Lily is a knight and Mia is a knight\". Lily remarked, \"Benjamin is a knave or Elizabeth is a knight\". Sebastian asserted: \"If Owen is a knight then Owen is a knave\". So who is a knight and who is a knave?", "names": ["Elizabeth", "Owen", "Mia", "Riley", "Benjamin", "Lily", "Sebastian"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false, true, true, true], "solution_text": "Elizabeth is a knight, Owen is a knave, Mia is a knight, Riley is a knave, Benjamin is a knight, Lily is a knight, and Sebastian is a knight.", "solution_text_format": "(1) Elizabeth is a knight\n(2) Owen is a knave\n(3) Mia is a knight\n(4) Riley is a knave\n(5) Benjamin is a knight\n(6) Lily is a knight\n(7) Sebastian is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Elizabeth is a knight. No contradiction is found in their claim that If Mia is a knave then Lily is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that Owen is a knave.", "Owen cannot be a knight, because this would contradict the claim of their own that Elizabeth is a knave.", "Assume Owen is a knave. No contradiction is found in their false claim that Elizabeth is a knave.", "Assume Lily is a knight. No contradiction is found in their claim that Benjamin is a knave or Elizabeth is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that Lily is a knight and Mia is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that Sebastian is a knave and Owen is a knave.", "Sebastian cannot be a knight, because this would contradict the claim of Riley that Sebastian is a knave and Owen is a knave.", "Sebastian cannot be a knave, because this would contradict the false claim of their own that If Owen is a knight then Owen is a knave.", "We have exhausted all possibilities for Sebastian, so let us go back and reconsider Riley.", "Assume Riley is a knave. No contradiction is found in their false claim that Sebastian is a knave and Owen is a knave.", "Assume Sebastian is a knight. No contradiction is found in their claim that If Owen is a knight then Owen is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 2), ('telling-truth', 5)), ('lying', 0), ('lying', 1), ('and', ('lying', 6), ('lying', 1)), ('and', ('telling-truth', 5), ('telling-truth', 2)), ('or', ('lying', 4), ('telling-truth', 0)), ('->', ('telling-truth', 1), ('lying', 1)))", "index": 889}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Benjamin, Evelyn, Aria, Aiden, Riley, Jackson, and Liam. Benjamin said that Aria is a knight if and only if Evelyn is a knight. Evelyn stated, \"Benjamin is a knave or Riley is a knave\". Aria noted, \"Riley is a knave or Liam is a knight\". Aiden said that Evelyn is not a knave. \"Liam is a knave if and only if Benjamin is a knave,\" Riley mentioned. In a statement by Jackson: \"Benjamin is a knave or Jackson is a knight\". In a statement by Liam: \"If Jackson is a knave then Evelyn is a knave\". So who is a knight and who is a knave?", "names": ["Benjamin", "Evelyn", "Aria", "Aiden", "Riley", "Jackson", "Liam"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, false, false, false], "solution_text": "Benjamin is a knight, Evelyn is a knight, Aria is a knight, Aiden is a knight, Riley is a knave, Jackson is a knave, and Liam is a knave.", "solution_text_format": "(1) Benjamin is a knight\n(2) Evelyn is a knight\n(3) Aria is a knight\n(4) Aiden is a knight\n(5) Riley is a knave\n(6) Jackson is a knave\n(7) Liam is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Benjamin is a knight. No contradiction is found in their claim that Aria is a knight if and only if Evelyn is a knight.", "Assume Aria is a knight. No contradiction is found in their claim that Riley is a knave or Liam is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that Liam is a knave if and only if Benjamin is a knave.", "Assume Liam is a knight. No contradiction is found in their claim that If Jackson is a knave then Evelyn is a knave.", "Assume Jackson is a knight. No contradiction is found in their claim that Benjamin is a knave or Jackson is a knight.", "Evelyn cannot be a knight, because this would contradict the claim of their own that Benjamin is a knave or Riley is a knave.", "Evelyn cannot be a knave, because this would contradict the claim of Benjamin that Aria is a knight if and only if Evelyn is a knight.", "We have exhausted all possibilities for Evelyn, so let us go back and reconsider Jackson.", "Assume Jackson is a knave. No contradiction is found in their false claim that Benjamin is a knave or Jackson is a knight.", "Evelyn cannot be a knight, because this would contradict the claim of their own that Benjamin is a knave or Riley is a knave.", "Evelyn cannot be a knave, because this would contradict the claim of Benjamin that Aria is a knight if and only if Evelyn is a knight.", "We have exhausted all possibilities for Evelyn and Jackson, so let us go back and reconsider Liam.", "Liam cannot be a knave, because this would contradict the claim of Aria that Riley is a knave or Liam is a knight.", "We have exhausted all possibilities for Liam, so let us go back and reconsider Riley.", "Assume Riley is a knave. No contradiction is found in their false claim that Liam is a knave if and only if Benjamin is a knave.", "Liam cannot be a knight, because this would contradict the false claim of Riley that Liam is a knave if and only if Benjamin is a knave.", "Assume Liam is a knave. No contradiction is found in their false claim that If Jackson is a knave then Evelyn is a knave.", "Jackson cannot be a knight, because this would contradict the false claim of Liam that If Jackson is a knave then Evelyn is a knave.", "Assume Jackson is a knave. No contradiction is found in their false claim that Benjamin is a knave or Jackson is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that Benjamin is a knave or Riley is a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that Evelyn is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 2), ('telling-truth', 1)), ('or', ('lying', 0), ('lying', 4)), ('or', ('lying', 4), ('telling-truth', 6)), ('not', ('lying', 1)), ('<=>', ('lying', 6), ('lying', 0)), ('or', ('lying', 0), ('telling-truth', 5)), ('->', ('lying', 5), ('lying', 1)))", "index": 890}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Evelyn, Sofia, Grace, Mason, Matthew, Chloe, and Abigail. \"Mason is a knave or Mason is a knight\" - Evelyn. Sofia commented, \"Matthew is a knave or Abigail is a knight\". \"Mason is a knave,\" Grace declared. Mason told you that Chloe is a knight if and only if Chloe is a knave. Matthew told you that Chloe is not a knave. Chloe asserted: \"Evelyn is a knight and Evelyn is a knave\". Abigail stated, \"Chloe is not a knave\". So who is a knight and who is a knave?", "names": ["Evelyn", "Sofia", "Grace", "Mason", "Matthew", "Chloe", "Abigail"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false, false, false, false], "solution_text": "Evelyn is a knight, Sofia is a knight, Grace is a knight, Mason is a knave, Matthew is a knave, Chloe is a knave, and Abigail is a knave.", "solution_text_format": "(1) Evelyn is a knight\n(2) Sofia is a knight\n(3) Grace is a knight\n(4) Mason is a knave\n(5) Matthew is a knave\n(6) Chloe is a knave\n(7) Abigail is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Evelyn is a knight. No contradiction is found in their claim that Mason is a knave or Mason is a knight.", "Mason cannot be a knight, because this would contradict the claim of their own that Chloe is a knight if and only if Chloe is a knave.", "Assume Mason is a knave. No contradiction is found in their false claim that Chloe is a knight if and only if Chloe is a knave.", "Chloe cannot be a knight, because this would contradict the claim of their own that Evelyn is a knight and Evelyn is a knave.", "Assume Chloe is a knave. No contradiction is found in their false claim that Evelyn is a knight and Evelyn is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that Matthew is a knave or Abigail is a knight.", "Matthew cannot be a knight, because this would contradict the claim of their own that Chloe is not a knave.", "Assume Matthew is a knave. No contradiction is found in their false claim that Chloe is not a knave.", "Abigail cannot be a knight, because this would contradict the claim of their own that Chloe is not a knave.", "Assume Abigail is a knave. No contradiction is found in their false claim that Chloe is not a knave.", "Assume Grace is a knight. No contradiction is found in their claim that Mason is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 3), ('telling-truth', 3)), ('or', ('lying', 4), ('telling-truth', 6)), ('lying', 3), ('<=>', ('telling-truth', 5), ('lying', 5)), ('not', ('lying', 5)), ('and', ('telling-truth', 0), ('lying', 0)), ('not', ('lying', 5)))", "index": 891}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Lucas, Charlotte, Victoria, David, Scarlett, Harper, and Evelyn. Lucas remarked, \"David is a knight if and only if Harper is a knight\". \"Victoria is not a knight,\" Charlotte claimed. Victoria remarked, \"If Lucas is a knave then Victoria is a knight\". \"Victoria is not a knight,\" David declared. According to Scarlett, \"Victoria is not a knave\". Harper asserted: \"Victoria is a knight or Scarlett is a knave\". According to Evelyn, \"If David is a knight then David is a knave\". So who is a knight and who is a knave?", "names": ["Lucas", "Charlotte", "Victoria", "David", "Scarlett", "Harper", "Evelyn"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false, true, true, true], "solution_text": "Lucas is a knave, Charlotte is a knave, Victoria is a knight, David is a knave, Scarlett is a knight, Harper is a knight, and Evelyn is a knight.", "solution_text_format": "(1) Lucas is a knave\n(2) Charlotte is a knave\n(3) Victoria is a knight\n(4) David is a knave\n(5) Scarlett is a knight\n(6) Harper is a knight\n(7) Evelyn is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Lucas is a knight. No contradiction is found in their claim that David is a knight if and only if Harper is a knight.", "Assume David is a knight. No contradiction is found in their claim that Victoria is not a knight.", "Victoria cannot be a knight, because this would contradict the claim of David that Victoria is not a knight.", "Victoria cannot be a knave, because this would contradict the false claim of their own that If Lucas is a knave then Victoria is a knight.", "We have exhausted all possibilities for Victoria, so let us go back and reconsider David.", "Assume David is a knave. No contradiction is found in their false claim that Victoria is not a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that If Lucas is a knave then Victoria is a knight.", "Harper cannot be a knight, because this would contradict the claim of Lucas that David is a knight if and only if Harper is a knight.", "Harper cannot be a knave, because this would contradict the false claim of their own that Victoria is a knight or Scarlett is a knave.", "We have exhausted all possibilities for Harper, so let us go back and reconsider Victoria.", "Victoria cannot be a knave, because this would contradict the false claim of their own that If Lucas is a knave then Victoria is a knight.", "We have exhausted all possibilities for Victoria and David, so let us go back and reconsider Lucas.", "Assume Lucas is a knave. No contradiction is found in their false claim that David is a knight if and only if Harper is a knight.", "Assume David is a knight. No contradiction is found in their claim that Victoria is not a knight.", "Victoria cannot be a knight, because this would contradict the claim of David that Victoria is not a knight.", "Assume Victoria is a knave. No contradiction is found in their false claim that If Lucas is a knave then Victoria is a knight.", "Harper cannot be a knight, because this would contradict the false claim of Lucas that David is a knight if and only if Harper is a knight.", "Assume Harper is a knave. No contradiction is found in their false claim that Victoria is a knight or Scarlett is a knave.", "Scarlett cannot be a knight, because this would contradict the claim of their own that Victoria is not a knave.", "Scarlett cannot be a knave, because this would contradict the false claim of Harper that Victoria is a knight or Scarlett is a knave.", "We have exhausted all possibilities for Scarlett, Harper, and Victoria, so let us go back and reconsider David.", "Assume David is a knave. No contradiction is found in their false claim that Victoria is not a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that If Lucas is a knave then Victoria is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that Victoria is a knight or Scarlett is a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that Victoria is not a knave.", "Charlotte cannot be a knight, because this would contradict the claim of their own that Victoria is not a knight.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Victoria is not a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that If David is a knight then David is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 3), ('telling-truth', 5)), ('not', ('telling-truth', 2)), ('->', ('lying', 0), ('telling-truth', 2)), ('not', ('telling-truth', 2)), ('not', ('lying', 2)), ('or', ('telling-truth', 2), ('lying', 4)), ('->', ('telling-truth', 3), ('lying', 3)))", "index": 892}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Luke, Zoey, Daniel, Sebastian, Penelope, Logan, and Riley. According to Luke, \"Penelope is a knave and Zoey is a knave\". Zoey asserted: \"Daniel is a knave\". \"Sebastian is a knave if and only if Penelope is a knight,\" Daniel declared. In a statement by Sebastian: \"If Penelope is a knave then Sebastian is a knight\". Penelope was heard saying, \"Zoey is not a knight\". Logan asserted: \"Zoey is a knight\". Riley asserted: \"If Zoey is a knight then Luke is a knight\". So who is a knight and who is a knave?", "names": ["Luke", "Zoey", "Daniel", "Sebastian", "Penelope", "Logan", "Riley"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false, false, true, false], "solution_text": "Luke is a knave, Zoey is a knight, Daniel is a knave, Sebastian is a knave, Penelope is a knave, Logan is a knight, and Riley is a knave.", "solution_text_format": "(1) Luke is a knave\n(2) Zoey is a knight\n(3) Daniel is a knave\n(4) Sebastian is a knave\n(5) Penelope is a knave\n(6) Logan is a knight\n(7) Riley is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Luke is a knight. No contradiction is found in their claim that Penelope is a knave and Zoey is a knave.", "Penelope cannot be a knight, because this would contradict the claim of Luke that Penelope is a knave and Zoey is a knave.", "Assume Penelope is a knave. No contradiction is found in their false claim that Zoey is not a knight.", "Zoey cannot be a knight, because this would contradict the claim of Luke that Penelope is a knave and Zoey is a knave.", "Zoey cannot be a knave, because this would contradict the false claim of Penelope that Zoey is not a knight.", "We have exhausted all possibilities for Zoey and Penelope, so let us go back and reconsider Luke.", "Assume Luke is a knave. No contradiction is found in their false claim that Penelope is a knave and Zoey is a knave.", "Assume Penelope is a knight. No contradiction is found in their claim that Zoey is not a knight.", "Zoey cannot be a knight, because this would contradict the claim of Penelope that Zoey is not a knight.", "Assume Zoey is a knave. No contradiction is found in their false claim that Daniel is a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that Sebastian is a knave if and only if Penelope is a knight.", "Sebastian cannot be a knight, because this would contradict the claim of Daniel that Sebastian is a knave if and only if Penelope is a knight.", "Sebastian cannot be a knave, because this would contradict the false claim of their own that If Penelope is a knave then Sebastian is a knight.", "We have exhausted all possibilities for Sebastian, so let us go back and reconsider Daniel.", "Daniel cannot be a knave, because this would contradict the false claim of Zoey that Daniel is a knave.", "We have exhausted all possibilities for Daniel and Zoey, so let us go back and reconsider Penelope.", "Assume Penelope is a knave. No contradiction is found in their false claim that Zoey is not a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that Daniel is a knave.", "Daniel cannot be a knight, because this would contradict the claim of Zoey that Daniel is a knave.", "Assume Daniel is a knave. No contradiction is found in their false claim that Sebastian is a knave if and only if Penelope is a knight.", "Sebastian cannot be a knight, because this would contradict the false claim of Daniel that Sebastian is a knave if and only if Penelope is a knight.", "Assume Sebastian is a knave. No contradiction is found in their false claim that If Penelope is a knave then Sebastian is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that Zoey is a knight.", "Riley cannot be a knight, because this would contradict the claim of their own that If Zoey is a knight then Luke is a knight.", "Assume Riley is a knave. No contradiction is found in their false claim that If Zoey is a knight then Luke is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 4), ('lying', 1)), ('lying', 2), ('<=>', ('lying', 3), ('telling-truth', 4)), ('->', ('lying', 4), ('telling-truth', 3)), ('not', ('telling-truth', 1)), ('telling-truth', 1), ('->', ('telling-truth', 1), ('telling-truth', 0)))", "index": 893}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Matthew, Ethan, Daniel, Victoria, Grace, Sebastian, and Abigail. \"Sebastian is a knave,\" Matthew declared. Ethan said that Daniel is a knight if and only if Grace is a knight. Daniel was heard saying, \"Matthew is a knave\". \"Sebastian is a knave or Ethan is a knave\" - Victoria. \"Victoria is a knight or Matthew is a knave,\" Grace mentioned. As Sebastian put it, \"Daniel is a knave and Sebastian is a knight\". \"If Grace is a knave then Daniel is a knave,\" Abigail mentioned. So who is a knight and who is a knave?", "names": ["Matthew", "Ethan", "Daniel", "Victoria", "Grace", "Sebastian", "Abigail"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, true, false, true], "solution_text": "Matthew is a knight, Ethan is a knave, Daniel is a knave, Victoria is a knight, Grace is a knight, Sebastian is a knave, and Abigail is a knight.", "solution_text_format": "(1) Matthew is a knight\n(2) Ethan is a knave\n(3) Daniel is a knave\n(4) Victoria is a knight\n(5) Grace is a knight\n(6) Sebastian is a knave\n(7) Abigail is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Matthew is a knight. No contradiction is found in their claim that Sebastian is a knave.", "Sebastian cannot be a knight, because this would contradict the claim of Matthew that Sebastian is a knave.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Daniel is a knave and Sebastian is a knight.", "Daniel cannot be a knight, because this would contradict the claim of their own that Matthew is a knave.", "Assume Daniel is a knave. No contradiction is found in their false claim that Matthew is a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that Daniel is a knight if and only if Grace is a knight.", "Grace cannot be a knight, because this would contradict the claim of Ethan that Daniel is a knight if and only if Grace is a knight.", "Assume Grace is a knave. No contradiction is found in their false claim that Victoria is a knight or Matthew is a knave.", "Victoria cannot be a knight, because this would contradict the false claim of Grace that Victoria is a knight or Matthew is a knave.", "Victoria cannot be a knave, because this would contradict the false claim of their own that Sebastian is a knave or Ethan is a knave.", "We have exhausted all possibilities for Victoria and Grace, so let us go back and reconsider Ethan.", "Assume Ethan is a knave. No contradiction is found in their false claim that Daniel is a knight if and only if Grace is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that Victoria is a knight or Matthew is a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that Sebastian is a knave or Ethan is a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that If Grace is a knave then Daniel is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 5), ('<=>', ('telling-truth', 2), ('telling-truth', 4)), ('lying', 0), ('or', ('lying', 5), ('lying', 1)), ('or', ('telling-truth', 3), ('lying', 0)), ('and', ('lying', 2), ('telling-truth', 5)), ('->', ('lying', 4), ('lying', 2)))", "index": 894}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Liam, James, Chloe, Victoria, Elizabeth, Aurora, and Jacob. Liam told you that Aurora is not a knight. James remarked, \"Elizabeth is not a knight\". Chloe remarked, \"Victoria is a knave or Chloe is a knight\". Victoria noted, \"If Chloe is a knave then Liam is a knight\". Elizabeth commented, \"Aurora is a knight if and only if Chloe is a knight\". \"James is a knight and Victoria is a knight,\" Aurora declared. Jacob was heard saying, \"If Liam is a knight then James is a knave\". So who is a knight and who is a knave?", "names": ["Liam", "James", "Chloe", "Victoria", "Elizabeth", "Aurora", "Jacob"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, true, false, true], "solution_text": "Liam is a knight, James is a knave, Chloe is a knave, Victoria is a knight, Elizabeth is a knight, Aurora is a knave, and Jacob is a knight.", "solution_text_format": "(1) Liam is a knight\n(2) James is a knave\n(3) Chloe is a knave\n(4) Victoria is a knight\n(5) Elizabeth is a knight\n(6) Aurora is a knave\n(7) Jacob is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Liam is a knight. No contradiction is found in their claim that Aurora is not a knight.", "Aurora cannot be a knight, because this would contradict the claim of Liam that Aurora is not a knight.", "Assume Aurora is a knave. No contradiction is found in their false claim that James is a knight and Victoria is a knight.", "Assume James is a knight. No contradiction is found in their claim that Elizabeth is not a knight.", "Elizabeth cannot be a knight, because this would contradict the claim of James that Elizabeth is not a knight.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Aurora is a knight if and only if Chloe is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that Victoria is a knave or Chloe is a knight.", "Victoria cannot be a knight, because this would contradict the false claim of Aurora that James is a knight and Victoria is a knight.", "Victoria cannot be a knave, because this would contradict the false claim of their own that If Chloe is a knave then Liam is a knight.", "We have exhausted all possibilities for Victoria, so let us go back and reconsider Chloe.", "Chloe cannot be a knave, because this would contradict the false claim of Elizabeth that Aurora is a knight if and only if Chloe is a knight.", "We have exhausted all possibilities for Chloe and Elizabeth, so let us go back and reconsider James.", "Assume James is a knave. No contradiction is found in their false claim that Elizabeth is not a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Aurora is a knight if and only if Chloe is a knight.", "Chloe cannot be a knight, because this would contradict the claim of Elizabeth that Aurora is a knight if and only if Chloe is a knight.", "Assume Chloe is a knave. No contradiction is found in their false claim that Victoria is a knave or Chloe is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that If Chloe is a knave then Liam is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that If Liam is a knight then James is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 5)), ('not', ('telling-truth', 4)), ('or', ('lying', 3), ('telling-truth', 2)), ('->', ('lying', 2), ('telling-truth', 0)), ('<=>', ('telling-truth', 5), ('telling-truth', 2)), ('and', ('telling-truth', 1), ('telling-truth', 3)), ('->', ('telling-truth', 0), ('lying', 1)))", "index": 895}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Liam, Emma, Aria, Jack, Lucas, Penelope, and Isabella. Liam noted, \"If Penelope is a knave then Isabella is a knave\". As Emma put it, \"Isabella is a knight\". \"If Isabella is a knave then Emma is a knight\" - Aria. Jack commented, \"Jack is a knight or Lucas is a knight\". Lucas was heard saying, \"Liam is a knight or Emma is a knight\". Penelope asserted: \"Isabella is not a knight\". Isabella noted, \"Liam is a knight and Liam is a knave\". So who is a knight and who is a knave?", "names": ["Liam", "Emma", "Aria", "Jack", "Lucas", "Penelope", "Isabella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, true, true, false], "solution_text": "Liam is a knight, Emma is a knave, Aria is a knave, Jack is a knight, Lucas is a knight, Penelope is a knight, and Isabella is a knave.", "solution_text_format": "(1) Liam is a knight\n(2) Emma is a knave\n(3) Aria is a knave\n(4) Jack is a knight\n(5) Lucas is a knight\n(6) Penelope is a knight\n(7) Isabella is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Liam is a knight. No contradiction is found in their claim that If Penelope is a knave then Isabella is a knave.", "Assume Penelope is a knight. No contradiction is found in their claim that Isabella is not a knight.", "Isabella cannot be a knight, because this would contradict the claim of Penelope that Isabella is not a knight.", "Assume Isabella is a knave. No contradiction is found in their false claim that Liam is a knight and Liam is a knave.", "Emma cannot be a knight, because this would contradict the claim of their own that Isabella is a knight.", "Assume Emma is a knave. No contradiction is found in their false claim that Isabella is a knight.", "Aria cannot be a knight, because this would contradict the claim of their own that If Isabella is a knave then Emma is a knight.", "Assume Aria is a knave. No contradiction is found in their false claim that If Isabella is a knave then Emma is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that Jack is a knight or Lucas is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that Liam is a knight or Emma is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 5), ('lying', 6)), ('telling-truth', 6), ('->', ('lying', 6), ('telling-truth', 1)), ('or', ('telling-truth', 3), ('telling-truth', 4)), ('or', ('telling-truth', 0), ('telling-truth', 1)), ('not', ('telling-truth', 6)), ('and', ('telling-truth', 0), ('lying', 0)))", "index": 896}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Riley, William, Jacob, Evelyn, Olivia, Joseph, and Michael. Riley expressed that If Evelyn is a knight then Michael is a knight. William expressed that If Evelyn is a knave then Olivia is a knave. In Jacob's words: \"If Evelyn is a knave then Michael is a knight\". \"Michael is a knight or Michael is a knave,\" Evelyn claimed. Olivia expressed that If Riley is a knave then Joseph is a knight. Joseph expressed that Riley is not a knave. In Michael's words: \"William is not a knight\". So who is a knight and who is a knave?", "names": ["Riley", "William", "Jacob", "Evelyn", "Olivia", "Joseph", "Michael"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, false, false, false], "solution_text": "Riley is a knave, William is a knight, Jacob is a knight, Evelyn is a knight, Olivia is a knave, Joseph is a knave, and Michael is a knave.", "solution_text_format": "(1) Riley is a knave\n(2) William is a knight\n(3) Jacob is a knight\n(4) Evelyn is a knight\n(5) Olivia is a knave\n(6) Joseph is a knave\n(7) Michael is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Riley is a knight. No contradiction is found in their claim that If Evelyn is a knight then Michael is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that Michael is a knight or Michael is a knave.", "Assume Michael is a knight. No contradiction is found in their claim that William is not a knight.", "William cannot be a knight, because this would contradict the claim of Michael that William is not a knight.", "William cannot be a knave, because this would contradict the false claim of their own that If Evelyn is a knave then Olivia is a knave.", "We have exhausted all possibilities for William, so let us go back and reconsider Michael.", "Michael cannot be a knave, because this would contradict the claim of Riley that If Evelyn is a knight then Michael is a knight.", "We have exhausted all possibilities for Michael, so let us go back and reconsider Evelyn.", "Evelyn cannot be a knave, because this would contradict the false claim of their own that Michael is a knight or Michael is a knave.", "We have exhausted all possibilities for Evelyn, so let us go back and reconsider Riley.", "Assume Riley is a knave. No contradiction is found in their false claim that If Evelyn is a knight then Michael is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that Michael is a knight or Michael is a knave.", "Michael cannot be a knight, because this would contradict the false claim of Riley that If Evelyn is a knight then Michael is a knight.", "Assume Michael is a knave. No contradiction is found in their false claim that William is not a knight.", "Assume William is a knight. No contradiction is found in their claim that If Evelyn is a knave then Olivia is a knave.", "Assume Olivia is a knight. No contradiction is found in their claim that If Riley is a knave then Joseph is a knight.", "Joseph cannot be a knight, because this would contradict the claim of their own that Riley is not a knave.", "Joseph cannot be a knave, because this would contradict the claim of Olivia that If Riley is a knave then Joseph is a knight.", "We have exhausted all possibilities for Joseph, so let us go back and reconsider Olivia.", "Assume Olivia is a knave. No contradiction is found in their false claim that If Riley is a knave then Joseph is a knight.", "Joseph cannot be a knight, because this would contradict the false claim of Olivia that If Riley is a knave then Joseph is a knight.", "Assume Joseph is a knave. No contradiction is found in their false claim that Riley is not a knave.", "Assume Jacob is a knight. No contradiction is found in their claim that If Evelyn is a knave then Michael is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 3), ('telling-truth', 6)), ('->', ('lying', 3), ('lying', 4)), ('->', ('lying', 3), ('telling-truth', 6)), ('or', ('telling-truth', 6), ('lying', 6)), ('->', ('lying', 0), ('telling-truth', 5)), ('not', ('lying', 0)), ('not', ('telling-truth', 1)))", "index": 897}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Riley, William, Emma, Henry, David, Owen, and Avery. In Riley's words: \"If Owen is a knight then Emma is a knight\". \"Henry is a knave or Riley is a knave,\" William declared. Emma remarked, \"William is a knave\". As Henry put it, \"William is a knave\". David remarked, \"Emma is a knight\". In Owen's words: \"Riley is a knight if and only if Emma is a knave\". Avery commented, \"Riley is a knave if and only if Riley is a knight\". So who is a knight and who is a knave?", "names": ["Riley", "William", "Emma", "Henry", "David", "Owen", "Avery"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, true, false, false], "solution_text": "Riley is a knight, William is a knave, Emma is a knight, Henry is a knight, David is a knight, Owen is a knave, and Avery is a knave.", "solution_text_format": "(1) Riley is a knight\n(2) William is a knave\n(3) Emma is a knight\n(4) Henry is a knight\n(5) David is a knight\n(6) Owen is a knave\n(7) Avery is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Riley is a knight. No contradiction is found in their claim that If Owen is a knight then Emma is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that Riley is a knight if and only if Emma is a knave.", "Emma cannot be a knight, because this would contradict the claim of Owen that Riley is a knight if and only if Emma is a knave.", "Emma cannot be a knave, because this would contradict the claim of Riley that If Owen is a knight then Emma is a knight.", "We have exhausted all possibilities for Emma, so let us go back and reconsider Owen.", "Assume Owen is a knave. No contradiction is found in their false claim that Riley is a knight if and only if Emma is a knave.", "Assume Emma is a knight. No contradiction is found in their claim that William is a knave.", "William cannot be a knight, because this would contradict the claim of Emma that William is a knave.", "Assume William is a knave. No contradiction is found in their false claim that Henry is a knave or Riley is a knave.", "Assume Henry is a knight. No contradiction is found in their claim that William is a knave.", "Assume David is a knight. No contradiction is found in their claim that Emma is a knight.", "Avery cannot be a knight, because this would contradict the claim of their own that Riley is a knave if and only if Riley is a knight.", "Assume Avery is a knave. No contradiction is found in their false claim that Riley is a knave if and only if Riley is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 5), ('telling-truth', 2)), ('or', ('lying', 3), ('lying', 0)), ('lying', 1), ('lying', 1), ('telling-truth', 2), ('<=>', ('telling-truth', 0), ('lying', 2)), ('<=>', ('lying', 0), ('telling-truth', 0)))", "index": 898}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Penelope, Owen, Scarlett, Luke, David, Grace, and James. Penelope was heard saying, \"Luke is a knave or Scarlett is a knight\". Owen said that Scarlett is a knave. Scarlett expressed that Luke is a knave and James is a knight. Luke noted, \"David is a knave or Penelope is a knave\". \"James is a knave and Scarlett is a knave,\" David declared. Grace said that Owen is a knave. \"Luke is a knave and Grace is a knave,\" James declared. So who is a knight and who is a knave?", "names": ["Penelope", "Owen", "Scarlett", "Luke", "David", "Grace", "James"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true, true, false, false], "solution_text": "Penelope is a knave, Owen is a knight, Scarlett is a knave, Luke is a knight, David is a knight, Grace is a knave, and James is a knave.", "solution_text_format": "(1) Penelope is a knave\n(2) Owen is a knight\n(3) Scarlett is a knave\n(4) Luke is a knight\n(5) David is a knight\n(6) Grace is a knave\n(7) James is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Penelope is a knight. No contradiction is found in their claim that Luke is a knave or Scarlett is a knight.", "Assume Luke is a knight. No contradiction is found in their claim that David is a knave or Penelope is a knave.", "David cannot be a knight, because this would contradict the claim of Luke that David is a knave or Penelope is a knave.", "Assume David is a knave. No contradiction is found in their false claim that James is a knave and Scarlett is a knave.", "James cannot be a knight, because this would contradict the claim of their own that Luke is a knave and Grace is a knave.", "Assume James is a knave. No contradiction is found in their false claim that Luke is a knave and Grace is a knave.", "Assume Grace is a knight. No contradiction is found in their claim that Owen is a knave.", "Owen cannot be a knight, because this would contradict the claim of Grace that Owen is a knave.", "Assume Owen is a knave. No contradiction is found in their false claim that Scarlett is a knave.", "Scarlett cannot be a knight, because this would contradict the claim of their own that Luke is a knave and James is a knight.", "Scarlett cannot be a knave, because this would contradict the claim of Penelope that Luke is a knave or Scarlett is a knight.", "We have exhausted all possibilities for Scarlett and Owen, so let us go back and reconsider Grace.", "Assume Grace is a knave. No contradiction is found in their false claim that Owen is a knave.", "Assume Owen is a knight. No contradiction is found in their claim that Scarlett is a knave.", "Scarlett cannot be a knight, because this would contradict the claim of Owen that Scarlett is a knave.", "Scarlett cannot be a knave, because this would contradict the claim of Penelope that Luke is a knave or Scarlett is a knight.", "We have exhausted all possibilities for Scarlett, so let us go back and reconsider Owen.", "Owen cannot be a knave, because this would contradict the false claim of Grace that Owen is a knave.", "We have exhausted all possibilities for Owen, Grace, James, and David, so let us go back and reconsider Luke.", "Assume Luke is a knave. No contradiction is found in their false claim that David is a knave or Penelope is a knave.", "Assume David is a knight. No contradiction is found in their claim that James is a knave and Scarlett is a knave.", "James cannot be a knight, because this would contradict the claim of David that James is a knave and Scarlett is a knave.", "Assume James is a knave. No contradiction is found in their false claim that Luke is a knave and Grace is a knave.", "Assume Grace is a knight. No contradiction is found in their claim that Owen is a knave.", "Owen cannot be a knight, because this would contradict the claim of Grace that Owen is a knave.", "Assume Owen is a knave. No contradiction is found in their false claim that Scarlett is a knave.", "Scarlett cannot be a knight, because this would contradict the claim of their own that Luke is a knave and James is a knight.", "Scarlett cannot be a knave, because this would contradict the false claim of Owen that Scarlett is a knave.", "We have exhausted all possibilities for Scarlett and Owen, so let us go back and reconsider Grace.", "Grace cannot be a knave, because this would contradict the false claim of James that Luke is a knave and Grace is a knave.", "We have exhausted all possibilities for Grace and James, so let us go back and reconsider David.", "David cannot be a knave, because this would contradict the false claim of Luke that David is a knave or Penelope is a knave.", "We have exhausted all possibilities for David and Luke, so let us go back and reconsider Penelope.", "Assume Penelope is a knave. No contradiction is found in their false claim that Luke is a knave or Scarlett is a knight.", "Assume Luke is a knight. No contradiction is found in their claim that David is a knave or Penelope is a knave.", "Assume David is a knight. No contradiction is found in their claim that James is a knave and Scarlett is a knave.", "James cannot be a knight, because this would contradict the claim of David that James is a knave and Scarlett is a knave.", "Assume James is a knave. No contradiction is found in their false claim that Luke is a knave and Grace is a knave.", "Assume Grace is a knight. No contradiction is found in their claim that Owen is a knave.", "Owen cannot be a knight, because this would contradict the claim of Grace that Owen is a knave.", "Assume Owen is a knave. No contradiction is found in their false claim that Scarlett is a knave.", "Scarlett cannot be a knight, because this would contradict the false claim of Penelope that Luke is a knave or Scarlett is a knight.", "Scarlett cannot be a knave, because this would contradict the false claim of Owen that Scarlett is a knave.", "We have exhausted all possibilities for Scarlett and Owen, so let us go back and reconsider Grace.", "Assume Grace is a knave. No contradiction is found in their false claim that Owen is a knave.", "Assume Owen is a knight. No contradiction is found in their claim that Scarlett is a knave.", "Scarlett cannot be a knight, because this would contradict the false claim of Penelope that Luke is a knave or Scarlett is a knight.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Luke is a knave and James is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 3), ('telling-truth', 2)), ('lying', 2), ('and', ('lying', 3), ('telling-truth', 6)), ('or', ('lying', 4), ('lying', 0)), ('and', ('lying', 6), ('lying', 2)), ('lying', 1), ('and', ('lying', 3), ('lying', 5)))", "index": 899}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Scarlett, Mason, Owen, Elizabeth, Lucas, Sofia, and Ethan. In a statement by Scarlett: \"Ethan is not a knave\". \"Elizabeth is a knave and Ethan is a knave,\" Mason claimed. As Owen put it, \"Ethan is a knave if and only if Mason is a knight\". Elizabeth commented, \"Scarlett is a knave or Mason is a knave\". \"If Scarlett is a knight then Elizabeth is a knave,\" Lucas claimed. Sofia said that If Owen is a knave then Elizabeth is a knave. According to Ethan, \"Sofia is a knight if and only if Scarlett is a knave\". So who is a knight and who is a knave?", "names": ["Scarlett", "Mason", "Owen", "Elizabeth", "Lucas", "Sofia", "Ethan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true, true, false, false], "solution_text": "Scarlett is a knave, Mason is a knave, Owen is a knave, Elizabeth is a knight, Lucas is a knight, Sofia is a knave, and Ethan is a knave.", "solution_text_format": "(1) Scarlett is a knave\n(2) Mason is a knave\n(3) Owen is a knave\n(4) Elizabeth is a knight\n(5) Lucas is a knight\n(6) Sofia is a knave\n(7) Ethan is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Scarlett is a knight. No contradiction is found in their claim that Ethan is not a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that Sofia is a knight if and only if Scarlett is a knave.", "Sofia cannot be a knight, because this would contradict the claim of Ethan that Sofia is a knight if and only if Scarlett is a knave.", "Assume Sofia is a knave. No contradiction is found in their false claim that If Owen is a knave then Elizabeth is a knave.", "Owen cannot be a knight, because this would contradict the false claim of Sofia that If Owen is a knave then Elizabeth is a knave.", "Assume Owen is a knave. No contradiction is found in their false claim that Ethan is a knave if and only if Mason is a knight.", "Mason cannot be a knight, because this would contradict the claim of their own that Elizabeth is a knave and Ethan is a knave.", "Mason cannot be a knave, because this would contradict the false claim of Owen that Ethan is a knave if and only if Mason is a knight.", "We have exhausted all possibilities for Mason, Owen, and Sofia, so let us go back and reconsider Ethan.", "Ethan cannot be a knave, because this would contradict the claim of Scarlett that Ethan is not a knave.", "We have exhausted all possibilities for Ethan, so let us go back and reconsider Scarlett.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Ethan is not a knave.", "Ethan cannot be a knight, because this would contradict the false claim of Scarlett that Ethan is not a knave.", "Assume Ethan is a knave. No contradiction is found in their false claim that Sofia is a knight if and only if Scarlett is a knave.", "Sofia cannot be a knight, because this would contradict the false claim of Ethan that Sofia is a knight if and only if Scarlett is a knave.", "Assume Sofia is a knave. No contradiction is found in their false claim that If Owen is a knave then Elizabeth is a knave.", "Owen cannot be a knight, because this would contradict the false claim of Sofia that If Owen is a knave then Elizabeth is a knave.", "Assume Owen is a knave. No contradiction is found in their false claim that Ethan is a knave if and only if Mason is a knight.", "Mason cannot be a knight, because this would contradict the false claim of Owen that Ethan is a knave if and only if Mason is a knight.", "Assume Mason is a knave. No contradiction is found in their false claim that Elizabeth is a knave and Ethan is a knave.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Scarlett is a knave or Mason is a knave.", "Assume Lucas is a knight. No contradiction is found in their claim that If Scarlett is a knight then Elizabeth is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 6)), ('and', ('lying', 3), ('lying', 6)), ('<=>', ('lying', 6), ('telling-truth', 1)), ('or', ('lying', 0), ('lying', 1)), ('->', ('telling-truth', 0), ('lying', 3)), ('->', ('lying', 2), ('lying', 3)), ('<=>', ('telling-truth', 5), ('lying', 0)))", "index": 900}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Aiden, Luke, Michael, Lily, Alexander, Penelope, and Sofia. Aiden expressed that Alexander is a knight. Luke expressed that Penelope is not a knight. \"If Penelope is a knight then Alexander is a knave,\" Michael claimed. In Lily's words: \"Michael is a knight if and only if Michael is a knave\". Alexander noted, \"Lily is not a knight\". As Penelope put it, \"Alexander is a knight\". Sofia told you that Penelope is a knight if and only if Lily is a knave. So who is a knight and who is a knave?", "names": ["Aiden", "Luke", "Michael", "Lily", "Alexander", "Penelope", "Sofia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false, true, true, true], "solution_text": "Aiden is a knight, Luke is a knave, Michael is a knave, Lily is a knave, Alexander is a knight, Penelope is a knight, and Sofia is a knight.", "solution_text_format": "(1) Aiden is a knight\n(2) Luke is a knave\n(3) Michael is a knave\n(4) Lily is a knave\n(5) Alexander is a knight\n(6) Penelope is a knight\n(7) Sofia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aiden is a knight. No contradiction is found in their claim that Alexander is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that Lily is not a knight.", "Lily cannot be a knight, because this would contradict the claim of their own that Michael is a knight if and only if Michael is a knave.", "Assume Lily is a knave. No contradiction is found in their false claim that Michael is a knight if and only if Michael is a knave.", "Assume Michael is a knight. No contradiction is found in their claim that If Penelope is a knight then Alexander is a knave.", "Penelope cannot be a knight, because this would contradict the claim of Michael that If Penelope is a knight then Alexander is a knave.", "Penelope cannot be a knave, because this would contradict the false claim of their own that Alexander is a knight.", "We have exhausted all possibilities for Penelope, so let us go back and reconsider Michael.", "Assume Michael is a knave. No contradiction is found in their false claim that If Penelope is a knight then Alexander is a knave.", "Assume Penelope is a knight. No contradiction is found in their claim that Alexander is a knight.", "Luke cannot be a knight, because this would contradict the claim of their own that Penelope is not a knight.", "Assume Luke is a knave. No contradiction is found in their false claim that Penelope is not a knight.", "Assume Sofia is a knight. No contradiction is found in their claim that Penelope is a knight if and only if Lily is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 4), ('not', ('telling-truth', 5)), ('->', ('telling-truth', 5), ('lying', 4)), ('<=>', ('telling-truth', 2), ('lying', 2)), ('not', ('telling-truth', 3)), ('telling-truth', 4), ('<=>', ('telling-truth', 5), ('lying', 3)))", "index": 901}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Daniel, Luke, Aiden, Olivia, Joseph, Isabella, and Abigail. Daniel expressed that Olivia is a knave and Olivia is a knight. According to Luke, \"Aiden is a knave\". Aiden noted, \"Aiden is a knight and Abigail is a knave\". In a statement by Olivia: \"Joseph is not a knave\". Joseph expressed that Olivia is a knight or Olivia is a knave. According to Isabella, \"If Joseph is a knave then Abigail is a knave\". Abigail commented, \"Isabella is a knight or Abigail is a knight\". So who is a knight and who is a knave?", "names": ["Daniel", "Luke", "Aiden", "Olivia", "Joseph", "Isabella", "Abigail"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true, true, true, true], "solution_text": "Daniel is a knave, Luke is a knight, Aiden is a knave, Olivia is a knight, Joseph is a knight, Isabella is a knight, and Abigail is a knight.", "solution_text_format": "(1) Daniel is a knave\n(2) Luke is a knight\n(3) Aiden is a knave\n(4) Olivia is a knight\n(5) Joseph is a knight\n(6) Isabella is a knight\n(7) Abigail is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Daniel cannot be a knight, because this would contradict the claim of their own that Olivia is a knave and Olivia is a knight.", "Assume Daniel is a knave. No contradiction is found in their false claim that Olivia is a knave and Olivia is a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that Joseph is not a knave.", "Assume Joseph is a knight. No contradiction is found in their claim that Olivia is a knight or Olivia is a knave.", "Assume Luke is a knight. No contradiction is found in their claim that Aiden is a knave.", "Aiden cannot be a knight, because this would contradict the claim of Luke that Aiden is a knave.", "Assume Aiden is a knave. No contradiction is found in their false claim that Aiden is a knight and Abigail is a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that Isabella is a knight or Abigail is a knight.", "Assume Isabella is a knight. No contradiction is found in their claim that If Joseph is a knave then Abigail is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 3), ('telling-truth', 3)), ('lying', 2), ('and', ('telling-truth', 2), ('lying', 6)), ('not', ('lying', 4)), ('or', ('telling-truth', 3), ('lying', 3)), ('->', ('lying', 4), ('lying', 6)), ('or', ('telling-truth', 5), ('telling-truth', 6)))", "index": 902}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Zoey, Abigail, Lily, Henry, Avery, Evelyn, and Oliver. Zoey stated, \"Oliver is a knight\". Abigail stated, \"Zoey is a knave or Zoey is a knight\". Lily commented, \"Abigail is not a knave\". Henry noted, \"Oliver is a knight if and only if Abigail is a knight\". Avery noted, \"Zoey is a knight\". Evelyn asserted: \"Lily is not a knave\". In a statement by Oliver: \"Lily is a knight\". So who is a knight and who is a knave?", "names": ["Zoey", "Abigail", "Lily", "Henry", "Avery", "Evelyn", "Oliver"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, true, true, true], "solution_text": "Zoey is a knight, Abigail is a knight, Lily is a knight, Henry is a knight, Avery is a knight, Evelyn is a knight, and Oliver is a knight.", "solution_text_format": "(1) Zoey is a knight\n(2) Abigail is a knight\n(3) Lily is a knight\n(4) Henry is a knight\n(5) Avery is a knight\n(6) Evelyn is a knight\n(7) Oliver is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Zoey is a knight. No contradiction is found in their claim that Oliver is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that Lily is a knight.", "Assume Lily is a knight. No contradiction is found in their claim that Abigail is not a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that Zoey is a knave or Zoey is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that Oliver is a knight if and only if Abigail is a knight.", "Assume Avery is a knight. No contradiction is found in their claim that Zoey is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that Lily is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 6), ('or', ('lying', 0), ('telling-truth', 0)), ('not', ('lying', 1)), ('<=>', ('telling-truth', 6), ('telling-truth', 1)), ('telling-truth', 0), ('not', ('lying', 2)), ('telling-truth', 2))", "index": 903}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Daniel, Penelope, Samuel, Henry, Aurora, Grace, and Evelyn. Daniel said that Aurora is a knave or Grace is a knight. Penelope said, \"Henry is a knave or Daniel is a knight.\" Samuel asserted: \"Daniel is a knave\". Henry told you that Evelyn is a knave or Grace is a knight. Aurora stated, \"If Henry is a knave then Grace is a knave\". Grace commented, \"Samuel is a knight if and only if Penelope is a knave\". Evelyn remarked, \"Penelope is a knight if and only if Aurora is a knave\". So who is a knight and who is a knave?", "names": ["Daniel", "Penelope", "Samuel", "Henry", "Aurora", "Grace", "Evelyn"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true, true, true, false], "solution_text": "Daniel is a knight, Penelope is a knight, Samuel is a knave, Henry is a knight, Aurora is a knight, Grace is a knight, and Evelyn is a knave.", "solution_text_format": "(1) Daniel is a knight\n(2) Penelope is a knight\n(3) Samuel is a knave\n(4) Henry is a knight\n(5) Aurora is a knight\n(6) Grace is a knight\n(7) Evelyn is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Daniel is a knight. No contradiction is found in their claim that Aurora is a knave or Grace is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that If Henry is a knave then Grace is a knave.", "Assume Henry is a knight. No contradiction is found in their claim that Evelyn is a knave or Grace is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that Penelope is a knight if and only if Aurora is a knave.", "Penelope cannot be a knight, because this would contradict the claim of Evelyn that Penelope is a knight if and only if Aurora is a knave.", "Penelope cannot be a knave, because this would contradict the false claim of their own that Henry is a knave or Daniel is a knight.", "We have exhausted all possibilities for Penelope, so let us go back and reconsider Evelyn.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Penelope is a knight if and only if Aurora is a knave.", "Assume Penelope is a knight. No contradiction is found in their claim that Henry is a knave or Daniel is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that Samuel is a knight if and only if Penelope is a knave.", "Samuel cannot be a knight, because this would contradict the claim of their own that Daniel is a knave.", "Assume Samuel is a knave. No contradiction is found in their false claim that Daniel is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 4), ('telling-truth', 5)), ('or', ('lying', 3), ('telling-truth', 0)), ('lying', 0), ('or', ('lying', 6), ('telling-truth', 5)), ('->', ('lying', 3), ('lying', 5)), ('<=>', ('telling-truth', 2), ('lying', 1)), ('<=>', ('telling-truth', 1), ('lying', 4)))", "index": 904}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Mason, Lucas, Mia, Oliver, Aiden, Harper, and Owen. Mason expressed that Oliver is a knight or Harper is a knave. Lucas commented, \"Mason is a knight if and only if Owen is a knave\". \"Lucas is a knight or Harper is a knight,\" Mia claimed. \"Owen is a knave if and only if Aiden is a knight,\" Oliver mentioned. Aiden expressed that Mia is a knight and Oliver is a knave. \"Owen is a knight,\" Harper declared. Owen remarked, \"Oliver is a knight and Aiden is a knave\". So who is a knight and who is a knave?", "names": ["Mason", "Lucas", "Mia", "Oliver", "Aiden", "Harper", "Owen"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, false, true, true], "solution_text": "Mason is a knight, Lucas is a knave, Mia is a knight, Oliver is a knight, Aiden is a knave, Harper is a knight, and Owen is a knight.", "solution_text_format": "(1) Mason is a knight\n(2) Lucas is a knave\n(3) Mia is a knight\n(4) Oliver is a knight\n(5) Aiden is a knave\n(6) Harper is a knight\n(7) Owen is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Mason is a knight. No contradiction is found in their claim that Oliver is a knight or Harper is a knave.", "Assume Oliver is a knight. No contradiction is found in their claim that Owen is a knave if and only if Aiden is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that Oliver is a knight and Aiden is a knave.", "Aiden cannot be a knight, because this would contradict the claim of Oliver that Owen is a knave if and only if Aiden is a knight.", "Assume Aiden is a knave. No contradiction is found in their false claim that Mia is a knight and Oliver is a knave.", "Assume Mia is a knight. No contradiction is found in their claim that Lucas is a knight or Harper is a knight.", "Lucas cannot be a knight, because this would contradict the claim of their own that Mason is a knight if and only if Owen is a knave.", "Assume Lucas is a knave. No contradiction is found in their false claim that Mason is a knight if and only if Owen is a knave.", "Assume Harper is a knight. No contradiction is found in their claim that Owen is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 3), ('lying', 5)), ('<=>', ('telling-truth', 0), ('lying', 6)), ('or', ('telling-truth', 1), ('telling-truth', 5)), ('<=>', ('lying', 6), ('telling-truth', 4)), ('and', ('telling-truth', 2), ('lying', 3)), ('telling-truth', 6), ('and', ('telling-truth', 3), ('lying', 4)))", "index": 905}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Oliver, Mason, Harper, Avery, Ava, Isabella, and Sofia. According to Oliver, \"If Sofia is a knave then Ava is a knave\". Mason told you that Isabella is a knave or Oliver is a knight. \"Ava is a knave if and only if Avery is a knave,\" Harper declared. \"Oliver is not a knave\" - Avery. As Ava put it, \"If Mason is a knight then Oliver is a knight\". According to Isabella, \"Avery is a knight\". Sofia asserted: \"Avery is a knave if and only if Mason is a knave\". So who is a knight and who is a knave?", "names": ["Oliver", "Mason", "Harper", "Avery", "Ava", "Isabella", "Sofia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, true, true, true], "solution_text": "Oliver is a knight, Mason is a knight, Harper is a knight, Avery is a knight, Ava is a knight, Isabella is a knight, and Sofia is a knight.", "solution_text_format": "(1) Oliver is a knight\n(2) Mason is a knight\n(3) Harper is a knight\n(4) Avery is a knight\n(5) Ava is a knight\n(6) Isabella is a knight\n(7) Sofia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Oliver is a knight. No contradiction is found in their claim that If Sofia is a knave then Ava is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that Avery is a knave if and only if Mason is a knave.", "Assume Avery is a knight. No contradiction is found in their claim that Oliver is not a knave.", "Assume Mason is a knight. No contradiction is found in their claim that Isabella is a knave or Oliver is a knight.", "Assume Isabella is a knight. No contradiction is found in their claim that Avery is a knight.", "Assume Ava is a knight. No contradiction is found in their claim that If Mason is a knight then Oliver is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that Ava is a knave if and only if Avery is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 6), ('lying', 4)), ('or', ('lying', 5), ('telling-truth', 0)), ('<=>', ('lying', 4), ('lying', 3)), ('not', ('lying', 0)), ('->', ('telling-truth', 1), ('telling-truth', 0)), ('telling-truth', 3), ('<=>', ('lying', 3), ('lying', 1)))", "index": 906}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Jackson, Henry, Sophia, Victoria, Michael, Grace, and Aria. As Jackson put it, \"Michael is a knave or Victoria is a knight\". \"Aria is a knave and Grace is a knight,\" Henry declared. Sophia noted, \"Victoria is not a knight\". Victoria told you that Sophia is a knight if and only if Henry is a knave. According to Michael, \"Aria is not a knave\". Grace stated, \"Sophia is a knave\". Aria was heard saying, \"Victoria is a knight if and only if Victoria is a knave\". So who is a knight and who is a knave?", "names": ["Jackson", "Henry", "Sophia", "Victoria", "Michael", "Grace", "Aria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true, false, true, false], "solution_text": "Jackson is a knight, Henry is a knight, Sophia is a knave, Victoria is a knight, Michael is a knave, Grace is a knight, and Aria is a knave.", "solution_text_format": "(1) Jackson is a knight\n(2) Henry is a knight\n(3) Sophia is a knave\n(4) Victoria is a knight\n(5) Michael is a knave\n(6) Grace is a knight\n(7) Aria is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jackson is a knight. No contradiction is found in their claim that Michael is a knave or Victoria is a knight.", "Assume Michael is a knight. No contradiction is found in their claim that Aria is not a knave.", "Aria cannot be a knight, because this would contradict the claim of their own that Victoria is a knight if and only if Victoria is a knave.", "Aria cannot be a knave, because this would contradict the claim of Michael that Aria is not a knave.", "We have exhausted all possibilities for Aria, so let us go back and reconsider Michael.", "Assume Michael is a knave. No contradiction is found in their false claim that Aria is not a knave.", "Aria cannot be a knight, because this would contradict the false claim of Michael that Aria is not a knave.", "Assume Aria is a knave. No contradiction is found in their false claim that Victoria is a knight if and only if Victoria is a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that Sophia is a knight if and only if Henry is a knave.", "Sophia cannot be a knight, because this would contradict the claim of their own that Victoria is not a knight.", "Assume Sophia is a knave. No contradiction is found in their false claim that Victoria is not a knight.", "Assume Henry is a knight. No contradiction is found in their claim that Aria is a knave and Grace is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that Sophia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 4), ('telling-truth', 3)), ('and', ('lying', 6), ('telling-truth', 5)), ('not', ('telling-truth', 3)), ('<=>', ('telling-truth', 2), ('lying', 1)), ('not', ('lying', 6)), ('lying', 2), ('<=>', ('telling-truth', 3), ('lying', 3)))", "index": 907}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Ava, Ella, Olivia, Chloe, Daniel, Scarlett, and Lily. Ava was heard saying, \"Scarlett is a knave and Lily is a knave\". Ella told you that If Daniel is a knight then Chloe is a knight. Olivia told you that Chloe is a knight. In a statement by Chloe: \"Olivia is a knight if and only if Chloe is a knight\". As Daniel put it, \"Ella is a knave and Daniel is a knight\". According to Scarlett, \"Olivia is not a knight\". Lily said that Chloe is a knave or Daniel is a knave. So who is a knight and who is a knave?", "names": ["Ava", "Ella", "Olivia", "Chloe", "Daniel", "Scarlett", "Lily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, false, false, true], "solution_text": "Ava is a knave, Ella is a knight, Olivia is a knight, Chloe is a knight, Daniel is a knave, Scarlett is a knave, and Lily is a knight.", "solution_text_format": "(1) Ava is a knave\n(2) Ella is a knight\n(3) Olivia is a knight\n(4) Chloe is a knight\n(5) Daniel is a knave\n(6) Scarlett is a knave\n(7) Lily is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ava is a knight. No contradiction is found in their claim that Scarlett is a knave and Lily is a knave.", "Scarlett cannot be a knight, because this would contradict the claim of Ava that Scarlett is a knave and Lily is a knave.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Olivia is not a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that Chloe is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that Olivia is a knight if and only if Chloe is a knight.", "Lily cannot be a knight, because this would contradict the claim of Ava that Scarlett is a knave and Lily is a knave.", "Assume Lily is a knave. No contradiction is found in their false claim that Chloe is a knave or Daniel is a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that Ella is a knave and Daniel is a knight.", "Ella cannot be a knight, because this would contradict the claim of Daniel that Ella is a knave and Daniel is a knight.", "Ella cannot be a knave, because this would contradict the false claim of their own that If Daniel is a knight then Chloe is a knight.", "We have exhausted all possibilities for Ella, so let us go back and reconsider Daniel.", "Daniel cannot be a knave, because this would contradict the false claim of Lily that Chloe is a knave or Daniel is a knave.", "We have exhausted all possibilities for Daniel and Lily, so let us go back and reconsider Chloe.", "Chloe cannot be a knave, because this would contradict the claim of Olivia that Chloe is a knight.", "We have exhausted all possibilities for Chloe, so let us go back and reconsider Olivia.", "Olivia cannot be a knave, because this would contradict the false claim of Scarlett that Olivia is not a knight.", "We have exhausted all possibilities for Olivia and Scarlett, so let us go back and reconsider Ava.", "Assume Ava is a knave. No contradiction is found in their false claim that Scarlett is a knave and Lily is a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that Olivia is not a knight.", "Olivia cannot be a knight, because this would contradict the claim of Scarlett that Olivia is not a knight.", "Assume Olivia is a knave. No contradiction is found in their false claim that Chloe is a knight.", "Chloe cannot be a knight, because this would contradict the false claim of Olivia that Chloe is a knight.", "Chloe cannot be a knave, because this would contradict the false claim of their own that Olivia is a knight if and only if Chloe is a knight.", "We have exhausted all possibilities for Chloe and Olivia, so let us go back and reconsider Scarlett.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Olivia is not a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that Chloe is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that Olivia is a knight if and only if Chloe is a knight.", "Assume Lily is a knight. No contradiction is found in their claim that Chloe is a knave or Daniel is a knave.", "Daniel cannot be a knight, because this would contradict the claim of Lily that Chloe is a knave or Daniel is a knave.", "Assume Daniel is a knave. No contradiction is found in their false claim that Ella is a knave and Daniel is a knight.", "Assume Ella is a knight. No contradiction is found in their claim that If Daniel is a knight then Chloe is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 5), ('lying', 6)), ('->', ('telling-truth', 4), ('telling-truth', 3)), ('telling-truth', 3), ('<=>', ('telling-truth', 2), ('telling-truth', 3)), ('and', ('lying', 1), ('telling-truth', 4)), ('not', ('telling-truth', 2)), ('or', ('lying', 3), ('lying', 4)))", "index": 908}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Ava, Logan, Lucas, Ella, James, Emily, and Chloe. In Ava's words: \"Ella is a knight\". Logan stated, \"If Ava is a knight then Logan is a knight\". Lucas commented, \"If Emily is a knave then Logan is a knave\". As Ella put it, \"Chloe is a knave if and only if Lucas is a knight\". \"Ava is not a knave\" - James. Emily expressed that If Logan is a knight then James is a knave. Chloe asserted: \"Logan is a knave if and only if Chloe is a knight\". So who is a knight and who is a knave?", "names": ["Ava", "Logan", "Lucas", "Ella", "James", "Emily", "Chloe"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, true, true, false], "solution_text": "Ava is a knight, Logan is a knave, Lucas is a knight, Ella is a knight, James is a knight, Emily is a knight, and Chloe is a knave.", "solution_text_format": "(1) Ava is a knight\n(2) Logan is a knave\n(3) Lucas is a knight\n(4) Ella is a knight\n(5) James is a knight\n(6) Emily is a knight\n(7) Chloe is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ava is a knight. No contradiction is found in their claim that Ella is a knight.", "Assume Ella is a knight. No contradiction is found in their claim that Chloe is a knave if and only if Lucas is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that Logan is a knave if and only if Chloe is a knight.", "Logan cannot be a knight, because this would contradict the claim of Chloe that Logan is a knave if and only if Chloe is a knight.", "Assume Logan is a knave. No contradiction is found in their false claim that If Ava is a knight then Logan is a knight.", "Lucas cannot be a knight, because this would contradict the claim of Ella that Chloe is a knave if and only if Lucas is a knight.", "Lucas cannot be a knave, because this would contradict the false claim of their own that If Emily is a knave then Logan is a knave.", "We have exhausted all possibilities for Lucas and Logan, so let us go back and reconsider Chloe.", "Assume Chloe is a knave. No contradiction is found in their false claim that Logan is a knave if and only if Chloe is a knight.", "Logan cannot be a knight, because this would contradict the false claim of Chloe that Logan is a knave if and only if Chloe is a knight.", "Assume Logan is a knave. No contradiction is found in their false claim that If Ava is a knight then Logan is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that If Emily is a knave then Logan is a knave.", "Assume Emily is a knight. No contradiction is found in their claim that If Logan is a knight then James is a knave.", "Assume James is a knight. No contradiction is found in their claim that Ava is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 3), ('->', ('telling-truth', 0), ('telling-truth', 1)), ('->', ('lying', 5), ('lying', 1)), ('<=>', ('lying', 6), ('telling-truth', 2)), ('not', ('lying', 0)), ('->', ('telling-truth', 1), ('lying', 4)), ('<=>', ('lying', 1), ('telling-truth', 6)))", "index": 909}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Noah, Isabella, Ava, Joseph, Jack, Logan, and Riley. Noah was heard saying, \"Jack is a knave and Logan is a knight\". Isabella noted, \"Logan is a knave or Logan is a knight\". Ava asserted: \"Riley is a knave\". \"Ava is a knight or Noah is a knave,\" Joseph declared. \"Isabella is a knight or Noah is a knight,\" Jack claimed. Logan asserted: \"Joseph is not a knave\". Riley stated, \"If Logan is a knight then Jack is a knight\". So who is a knight and who is a knave?", "names": ["Noah", "Isabella", "Ava", "Joseph", "Jack", "Logan", "Riley"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true, true, true, true], "solution_text": "Noah is a knave, Isabella is a knight, Ava is a knave, Joseph is a knight, Jack is a knight, Logan is a knight, and Riley is a knight.", "solution_text_format": "(1) Noah is a knave\n(2) Isabella is a knight\n(3) Ava is a knave\n(4) Joseph is a knight\n(5) Jack is a knight\n(6) Logan is a knight\n(7) Riley is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Noah is a knight. No contradiction is found in their claim that Jack is a knave and Logan is a knight.", "Jack cannot be a knight, because this would contradict the claim of Noah that Jack is a knave and Logan is a knight.", "Jack cannot be a knave, because this would contradict the false claim of their own that Isabella is a knight or Noah is a knight.", "We have exhausted all possibilities for Jack, so let us go back and reconsider Noah.", "Assume Noah is a knave. No contradiction is found in their false claim that Jack is a knave and Logan is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that Isabella is a knight or Noah is a knight.", "Assume Isabella is a knight. No contradiction is found in their claim that Logan is a knave or Logan is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that Joseph is not a knave.", "Assume Joseph is a knight. No contradiction is found in their claim that Ava is a knight or Noah is a knave.", "Assume Ava is a knight. No contradiction is found in their claim that Riley is a knave.", "Riley cannot be a knight, because this would contradict the claim of Ava that Riley is a knave.", "Riley cannot be a knave, because this would contradict the false claim of their own that If Logan is a knight then Jack is a knight.", "We have exhausted all possibilities for Riley, so let us go back and reconsider Ava.", "Assume Ava is a knave. No contradiction is found in their false claim that Riley is a knave.", "Assume Riley is a knight. No contradiction is found in their claim that If Logan is a knight then Jack is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 4), ('telling-truth', 5)), ('or', ('lying', 5), ('telling-truth', 5)), ('lying', 6), ('or', ('telling-truth', 2), ('lying', 0)), ('or', ('telling-truth', 1), ('telling-truth', 0)), ('not', ('lying', 3)), ('->', ('telling-truth', 5), ('telling-truth', 4)))", "index": 910}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Lucas, Emily, Scarlett, Chloe, Matthew, Owen, and Jackson. In a statement by Lucas: \"Scarlett is a knave\". Emily stated, \"Matthew is a knight and Matthew is a knave\". Scarlett commented, \"Chloe is a knave if and only if Lucas is a knave\". Chloe expressed that Matthew is not a knight. \"If Matthew is a knight then Owen is a knave,\" Matthew claimed. \"Scarlett is not a knight,\" Owen claimed. As Jackson put it, \"Chloe is a knave and Emily is a knight\". So who is a knight and who is a knave?", "names": ["Lucas", "Emily", "Scarlett", "Chloe", "Matthew", "Owen", "Jackson"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false, true, false, false], "solution_text": "Lucas is a knave, Emily is a knave, Scarlett is a knight, Chloe is a knave, Matthew is a knight, Owen is a knave, and Jackson is a knave.", "solution_text_format": "(1) Lucas is a knave\n(2) Emily is a knave\n(3) Scarlett is a knight\n(4) Chloe is a knave\n(5) Matthew is a knight\n(6) Owen is a knave\n(7) Jackson is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Lucas is a knight. No contradiction is found in their claim that Scarlett is a knave.", "Scarlett cannot be a knight, because this would contradict the claim of Lucas that Scarlett is a knave.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Chloe is a knave if and only if Lucas is a knave.", "Chloe cannot be a knight, because this would contradict the false claim of Scarlett that Chloe is a knave if and only if Lucas is a knave.", "Assume Chloe is a knave. No contradiction is found in their false claim that Matthew is not a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that If Matthew is a knight then Owen is a knave.", "Owen cannot be a knight, because this would contradict the claim of Matthew that If Matthew is a knight then Owen is a knave.", "Owen cannot be a knave, because this would contradict the false claim of their own that Scarlett is not a knight.", "We have exhausted all possibilities for Owen, so let us go back and reconsider Matthew.", "Matthew cannot be a knave, because this would contradict the false claim of Chloe that Matthew is not a knight.", "We have exhausted all possibilities for Matthew, Chloe, and Scarlett, so let us go back and reconsider Lucas.", "Assume Lucas is a knave. No contradiction is found in their false claim that Scarlett is a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that Chloe is a knave if and only if Lucas is a knave.", "Chloe cannot be a knight, because this would contradict the claim of Scarlett that Chloe is a knave if and only if Lucas is a knave.", "Assume Chloe is a knave. No contradiction is found in their false claim that Matthew is not a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that If Matthew is a knight then Owen is a knave.", "Owen cannot be a knight, because this would contradict the claim of Matthew that If Matthew is a knight then Owen is a knave.", "Assume Owen is a knave. No contradiction is found in their false claim that Scarlett is not a knight.", "Emily cannot be a knight, because this would contradict the claim of their own that Matthew is a knight and Matthew is a knave.", "Assume Emily is a knave. No contradiction is found in their false claim that Matthew is a knight and Matthew is a knave.", "Jackson cannot be a knight, because this would contradict the claim of their own that Chloe is a knave and Emily is a knight.", "Assume Jackson is a knave. No contradiction is found in their false claim that Chloe is a knave and Emily is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 2), ('and', ('telling-truth', 4), ('lying', 4)), ('<=>', ('lying', 3), ('lying', 0)), ('not', ('telling-truth', 4)), ('->', ('telling-truth', 4), ('lying', 5)), ('not', ('telling-truth', 2)), ('and', ('lying', 3), ('telling-truth', 1)))", "index": 911}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Abigail, Isabella, Owen, Victoria, Ethan, Zoey, and Ava. Abigail remarked, \"Ethan is a knight if and only if Ethan is a knave\". Isabella was heard saying, \"Victoria is not a knave\". Owen remarked, \"Victoria is a knight\". Victoria remarked, \"Ethan is a knight or Isabella is a knight\". Ethan expressed that Abigail is a knave. Zoey expressed that Ava is a knave. Ava asserted: \"Owen is not a knave\". So who is a knight and who is a knave?", "names": ["Abigail", "Isabella", "Owen", "Victoria", "Ethan", "Zoey", "Ava"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, true, false, true], "solution_text": "Abigail is a knave, Isabella is a knight, Owen is a knight, Victoria is a knight, Ethan is a knight, Zoey is a knave, and Ava is a knight.", "solution_text_format": "(1) Abigail is a knave\n(2) Isabella is a knight\n(3) Owen is a knight\n(4) Victoria is a knight\n(5) Ethan is a knight\n(6) Zoey is a knave\n(7) Ava is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Abigail cannot be a knight, because this would contradict the claim of their own that Ethan is a knight if and only if Ethan is a knave.", "Assume Abigail is a knave. No contradiction is found in their false claim that Ethan is a knight if and only if Ethan is a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that Abigail is a knave.", "Assume Isabella is a knight. No contradiction is found in their claim that Victoria is not a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that Ethan is a knight or Isabella is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that Victoria is a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that Ava is a knave.", "Ava cannot be a knight, because this would contradict the claim of Zoey that Ava is a knave.", "Ava cannot be a knave, because this would contradict the false claim of their own that Owen is not a knave.", "We have exhausted all possibilities for Ava, so let us go back and reconsider Zoey.", "Assume Zoey is a knave. No contradiction is found in their false claim that Ava is a knave.", "Assume Ava is a knight. No contradiction is found in their claim that Owen is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 4), ('lying', 4)), ('not', ('lying', 3)), ('telling-truth', 3), ('or', ('telling-truth', 4), ('telling-truth', 1)), ('lying', 0), ('lying', 6), ('not', ('lying', 2)))", "index": 912}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Ella, David, Benjamin, Sofia, Evelyn, Abigail, and Grace. Ella asserted: \"Abigail is not a knight\". David commented, \"Benjamin is not a knave\". Benjamin remarked, \"If Abigail is a knight then Grace is a knave\". In Sofia's words: \"David is a knave or Evelyn is a knave\". Evelyn remarked, \"Grace is not a knight\". Abigail told you that David is a knave if and only if Abigail is a knight. Grace stated, \"Ella is a knight or Ella is a knave\". So who is a knight and who is a knave?", "names": ["Ella", "David", "Benjamin", "Sofia", "Evelyn", "Abigail", "Grace"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true, false, true, true], "solution_text": "Ella is a knave, David is a knave, Benjamin is a knave, Sofia is a knight, Evelyn is a knave, Abigail is a knight, and Grace is a knight.", "solution_text_format": "(1) Ella is a knave\n(2) David is a knave\n(3) Benjamin is a knave\n(4) Sofia is a knight\n(5) Evelyn is a knave\n(6) Abigail is a knight\n(7) Grace is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ella is a knight. No contradiction is found in their claim that Abigail is not a knight.", "Abigail cannot be a knight, because this would contradict the claim of Ella that Abigail is not a knight.", "Assume Abigail is a knave. No contradiction is found in their false claim that David is a knave if and only if Abigail is a knight.", "David cannot be a knight, because this would contradict the false claim of Abigail that David is a knave if and only if Abigail is a knight.", "Assume David is a knave. No contradiction is found in their false claim that Benjamin is not a knave.", "Benjamin cannot be a knight, because this would contradict the false claim of David that Benjamin is not a knave.", "Benjamin cannot be a knave, because this would contradict the false claim of their own that If Abigail is a knight then Grace is a knave.", "We have exhausted all possibilities for Benjamin, David, and Abigail, so let us go back and reconsider Ella.", "Assume Ella is a knave. No contradiction is found in their false claim that Abigail is not a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that David is a knave if and only if Abigail is a knight.", "David cannot be a knight, because this would contradict the claim of Abigail that David is a knave if and only if Abigail is a knight.", "Assume David is a knave. No contradiction is found in their false claim that Benjamin is not a knave.", "Benjamin cannot be a knight, because this would contradict the false claim of David that Benjamin is not a knave.", "Assume Benjamin is a knave. No contradiction is found in their false claim that If Abigail is a knight then Grace is a knave.", "Assume Grace is a knight. No contradiction is found in their claim that Ella is a knight or Ella is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that David is a knave or Evelyn is a knave.", "Evelyn cannot be a knight, because this would contradict the claim of their own that Grace is not a knight.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Grace is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 5)), ('not', ('lying', 2)), ('->', ('telling-truth', 5), ('lying', 6)), ('or', ('lying', 1), ('lying', 4)), ('not', ('telling-truth', 6)), ('<=>', ('lying', 1), ('telling-truth', 5)), ('or', ('telling-truth', 0), ('lying', 0)))", "index": 913}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Evelyn, Jacob, Benjamin, Jack, Elizabeth, Harper, and Logan. Evelyn was heard saying, \"Benjamin is a knight\". Jacob commented, \"Elizabeth is a knave\". In Benjamin's words: \"Evelyn is a knight and Jack is a knave\". Jack noted, \"Logan is not a knight\". Elizabeth expressed that Logan is a knave or Evelyn is a knave. In a statement by Harper: \"Benjamin is a knight or Jacob is a knave\". Logan told you that If Evelyn is a knight then Jack is a knight. So who is a knight and who is a knave?", "names": ["Evelyn", "Jacob", "Benjamin", "Jack", "Elizabeth", "Harper", "Logan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, false, true, true, true], "solution_text": "Evelyn is a knave, Jacob is a knave, Benjamin is a knave, Jack is a knave, Elizabeth is a knight, Harper is a knight, and Logan is a knight.", "solution_text_format": "(1) Evelyn is a knave\n(2) Jacob is a knave\n(3) Benjamin is a knave\n(4) Jack is a knave\n(5) Elizabeth is a knight\n(6) Harper is a knight\n(7) Logan is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Evelyn is a knight. No contradiction is found in their claim that Benjamin is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that Evelyn is a knight and Jack is a knave.", "Jack cannot be a knight, because this would contradict the claim of Benjamin that Evelyn is a knight and Jack is a knave.", "Assume Jack is a knave. No contradiction is found in their false claim that Logan is not a knight.", "Logan cannot be a knight, because this would contradict the claim of their own that If Evelyn is a knight then Jack is a knight.", "Logan cannot be a knave, because this would contradict the false claim of Jack that Logan is not a knight.", "We have exhausted all possibilities for Logan and Jack, so let us go back and reconsider Benjamin.", "Benjamin cannot be a knave, because this would contradict the claim of Evelyn that Benjamin is a knight.", "We have exhausted all possibilities for Benjamin, so let us go back and reconsider Evelyn.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Benjamin is a knight.", "Benjamin cannot be a knight, because this would contradict the false claim of Evelyn that Benjamin is a knight.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Evelyn is a knight and Jack is a knave.", "Assume Jack is a knight. No contradiction is found in their claim that Logan is not a knight.", "Logan cannot be a knight, because this would contradict the claim of Jack that Logan is not a knight.", "Logan cannot be a knave, because this would contradict the false claim of their own that If Evelyn is a knight then Jack is a knight.", "We have exhausted all possibilities for Logan, so let us go back and reconsider Jack.", "Assume Jack is a knave. No contradiction is found in their false claim that Logan is not a knight.", "Assume Logan is a knight. No contradiction is found in their claim that If Evelyn is a knight then Jack is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that Elizabeth is a knave.", "Elizabeth cannot be a knight, because this would contradict the claim of Jacob that Elizabeth is a knave.", "Elizabeth cannot be a knave, because this would contradict the false claim of their own that Logan is a knave or Evelyn is a knave.", "We have exhausted all possibilities for Elizabeth, so let us go back and reconsider Jacob.", "Assume Jacob is a knave. No contradiction is found in their false claim that Elizabeth is a knave.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Logan is a knave or Evelyn is a knave.", "Assume Harper is a knight. No contradiction is found in their claim that Benjamin is a knight or Jacob is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 2), ('lying', 4), ('and', ('telling-truth', 0), ('lying', 3)), ('not', ('telling-truth', 6)), ('or', ('lying', 6), ('lying', 0)), ('or', ('telling-truth', 2), ('lying', 1)), ('->', ('telling-truth', 0), ('telling-truth', 3)))", "index": 914}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Noah, James, Emily, Joseph, Mia, Ava, and Daniel. Noah expressed that If Joseph is a knight then Daniel is a knight. James said, \"Noah is a knight.\" In Emily's words: \"Emily is a knight and Noah is a knave\". Joseph told you that Daniel is a knave or Noah is a knight. \"If James is a knight then Emily is a knave,\" Mia claimed. Ava said, \"Joseph is a knave.\" As Daniel put it, \"Emily is a knave if and only if Mia is a knave\". So who is a knight and who is a knave?", "names": ["Noah", "James", "Emily", "Joseph", "Mia", "Ava", "Daniel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true, true, false, false], "solution_text": "Noah is a knave, James is a knave, Emily is a knave, Joseph is a knight, Mia is a knight, Ava is a knave, and Daniel is a knave.", "solution_text_format": "(1) Noah is a knave\n(2) James is a knave\n(3) Emily is a knave\n(4) Joseph is a knight\n(5) Mia is a knight\n(6) Ava is a knave\n(7) Daniel is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Noah is a knight. No contradiction is found in their claim that If Joseph is a knight then Daniel is a knight.", "Assume Joseph is a knight. No contradiction is found in their claim that Daniel is a knave or Noah is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that Emily is a knave if and only if Mia is a knave.", "Emily cannot be a knight, because this would contradict the claim of their own that Emily is a knight and Noah is a knave.", "Assume Emily is a knave. No contradiction is found in their false claim that Emily is a knight and Noah is a knave.", "Mia cannot be a knight, because this would contradict the claim of Daniel that Emily is a knave if and only if Mia is a knave.", "Mia cannot be a knave, because this would contradict the false claim of their own that If James is a knight then Emily is a knave.", "We have exhausted all possibilities for Mia and Emily, so let us go back and reconsider Daniel.", "Daniel cannot be a knave, because this would contradict the claim of Noah that If Joseph is a knight then Daniel is a knight.", "We have exhausted all possibilities for Daniel, so let us go back and reconsider Joseph.", "Joseph cannot be a knave, because this would contradict the false claim of their own that Daniel is a knave or Noah is a knight.", "We have exhausted all possibilities for Joseph, so let us go back and reconsider Noah.", "Assume Noah is a knave. No contradiction is found in their false claim that If Joseph is a knight then Daniel is a knight.", "Assume Joseph is a knight. No contradiction is found in their claim that Daniel is a knave or Noah is a knight.", "Daniel cannot be a knight, because this would contradict the false claim of Noah that If Joseph is a knight then Daniel is a knight.", "Assume Daniel is a knave. No contradiction is found in their false claim that Emily is a knave if and only if Mia is a knave.", "Assume Emily is a knight. No contradiction is found in their claim that Emily is a knight and Noah is a knave.", "Mia cannot be a knight, because this would contradict the false claim of Daniel that Emily is a knave if and only if Mia is a knave.", "Assume Mia is a knave. No contradiction is found in their false claim that If James is a knight then Emily is a knave.", "James cannot be a knight, because this would contradict the claim of their own that Noah is a knight.", "James cannot be a knave, because this would contradict the false claim of Mia that If James is a knight then Emily is a knave.", "We have exhausted all possibilities for James and Mia, so let us go back and reconsider Emily.", "Assume Emily is a knave. No contradiction is found in their false claim that Emily is a knight and Noah is a knave.", "Assume Mia is a knight. No contradiction is found in their claim that If James is a knight then Emily is a knave.", "James cannot be a knight, because this would contradict the claim of their own that Noah is a knight.", "Assume James is a knave. No contradiction is found in their false claim that Noah is a knight.", "Ava cannot be a knight, because this would contradict the claim of their own that Joseph is a knave.", "Assume Ava is a knave. No contradiction is found in their false claim that Joseph is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 3), ('telling-truth', 6)), ('telling-truth', 0), ('and', ('telling-truth', 2), ('lying', 0)), ('or', ('lying', 6), ('telling-truth', 0)), ('->', ('telling-truth', 1), ('lying', 2)), ('lying', 3), ('<=>', ('lying', 2), ('lying', 4)))", "index": 915}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Oliver, Logan, Mason, Grace, Zoey, Riley, and Ella. Oliver was heard saying, \"Mason is a knight or Grace is a knave\". Logan expressed that Oliver is a knight if and only if Ella is a knight. In Mason's words: \"Zoey is a knave and Riley is a knave\". Grace was heard saying, \"Grace is a knight and Ella is a knight\". \"Mason is a knave and Mason is a knight,\" Zoey claimed. In Riley's words: \"Zoey is a knave\". \"Logan is not a knight,\" Ella declared. So who is a knight and who is a knave?", "names": ["Oliver", "Logan", "Mason", "Grace", "Zoey", "Riley", "Ella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true, false, true, true], "solution_text": "Oliver is a knave, Logan is a knave, Mason is a knave, Grace is a knight, Zoey is a knave, Riley is a knight, and Ella is a knight.", "solution_text_format": "(1) Oliver is a knave\n(2) Logan is a knave\n(3) Mason is a knave\n(4) Grace is a knight\n(5) Zoey is a knave\n(6) Riley is a knight\n(7) Ella is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Oliver is a knight. No contradiction is found in their claim that Mason is a knight or Grace is a knave.", "Assume Mason is a knight. No contradiction is found in their claim that Zoey is a knave and Riley is a knave.", "Zoey cannot be a knight, because this would contradict the claim of Mason that Zoey is a knave and Riley is a knave.", "Assume Zoey is a knave. No contradiction is found in their false claim that Mason is a knave and Mason is a knight.", "Riley cannot be a knight, because this would contradict the claim of Mason that Zoey is a knave and Riley is a knave.", "Riley cannot be a knave, because this would contradict the false claim of their own that Zoey is a knave.", "We have exhausted all possibilities for Riley and Zoey, so let us go back and reconsider Mason.", "Assume Mason is a knave. No contradiction is found in their false claim that Zoey is a knave and Riley is a knave.", "Zoey cannot be a knight, because this would contradict the claim of their own that Mason is a knave and Mason is a knight.", "Assume Zoey is a knave. No contradiction is found in their false claim that Mason is a knave and Mason is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that Zoey is a knave.", "Grace cannot be a knight, because this would contradict the claim of Oliver that Mason is a knight or Grace is a knave.", "Assume Grace is a knave. No contradiction is found in their false claim that Grace is a knight and Ella is a knight.", "Assume Ella is a knight. No contradiction is found in their claim that Logan is not a knight.", "Logan cannot be a knight, because this would contradict the claim of Ella that Logan is not a knight.", "Logan cannot be a knave, because this would contradict the false claim of their own that Oliver is a knight if and only if Ella is a knight.", "We have exhausted all possibilities for Logan, so let us go back and reconsider Ella.", "Assume Ella is a knave. No contradiction is found in their false claim that Logan is not a knight.", "Logan cannot be a knight, because this would contradict the claim of their own that Oliver is a knight if and only if Ella is a knight.", "Logan cannot be a knave, because this would contradict the false claim of Ella that Logan is not a knight.", "We have exhausted all possibilities for Logan, Ella, and Grace, so let us go back and reconsider Riley.", "Riley cannot be a knave, because this would contradict the false claim of Mason that Zoey is a knave and Riley is a knave.", "We have exhausted all possibilities for Riley, Zoey, and Mason, so let us go back and reconsider Oliver.", "Assume Oliver is a knave. No contradiction is found in their false claim that Mason is a knight or Grace is a knave.", "Mason cannot be a knight, because this would contradict the false claim of Oliver that Mason is a knight or Grace is a knave.", "Assume Mason is a knave. No contradiction is found in their false claim that Zoey is a knave and Riley is a knave.", "Zoey cannot be a knight, because this would contradict the claim of their own that Mason is a knave and Mason is a knight.", "Assume Zoey is a knave. No contradiction is found in their false claim that Mason is a knave and Mason is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that Zoey is a knave.", "Assume Grace is a knight. No contradiction is found in their claim that Grace is a knight and Ella is a knight.", "Assume Ella is a knight. No contradiction is found in their claim that Logan is not a knight.", "Logan cannot be a knight, because this would contradict the claim of their own that Oliver is a knight if and only if Ella is a knight.", "Assume Logan is a knave. No contradiction is found in their false claim that Oliver is a knight if and only if Ella is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 2), ('lying', 3)), ('<=>', ('telling-truth', 0), ('telling-truth', 6)), ('and', ('lying', 4), ('lying', 5)), ('and', ('telling-truth', 3), ('telling-truth', 6)), ('and', ('lying', 2), ('telling-truth', 2)), ('lying', 4), ('not', ('telling-truth', 1)))", "index": 916}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Evelyn, Aiden, Lucas, Sebastian, Logan, Harper, and Avery. Evelyn commented, \"If Harper is a knave then Avery is a knave\". Aiden was heard saying, \"Avery is a knave\". As Lucas put it, \"Logan is a knight if and only if Harper is a knight\". Sebastian said, \"Harper is not a knight.\" In Logan's words: \"Sebastian is a knight or Evelyn is a knave\". Harper expressed that If Logan is a knight then Sebastian is a knight. Avery stated, \"Sebastian is a knave or Harper is a knight\". So who is a knight and who is a knave?", "names": ["Evelyn", "Aiden", "Lucas", "Sebastian", "Logan", "Harper", "Avery"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false, false, true, true], "solution_text": "Evelyn is a knight, Aiden is a knave, Lucas is a knave, Sebastian is a knave, Logan is a knave, Harper is a knight, and Avery is a knight.", "solution_text_format": "(1) Evelyn is a knight\n(2) Aiden is a knave\n(3) Lucas is a knave\n(4) Sebastian is a knave\n(5) Logan is a knave\n(6) Harper is a knight\n(7) Avery is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Evelyn is a knight. No contradiction is found in their claim that If Harper is a knave then Avery is a knave.", "Assume Harper is a knight. No contradiction is found in their claim that If Logan is a knight then Sebastian is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that Sebastian is a knight or Evelyn is a knave.", "Sebastian cannot be a knight, because this would contradict the claim of their own that Harper is not a knight.", "Sebastian cannot be a knave, because this would contradict the claim of Logan that Sebastian is a knight or Evelyn is a knave.", "We have exhausted all possibilities for Sebastian, so let us go back and reconsider Logan.", "Assume Logan is a knave. No contradiction is found in their false claim that Sebastian is a knight or Evelyn is a knave.", "Sebastian cannot be a knight, because this would contradict the claim of their own that Harper is not a knight.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Harper is not a knight.", "Assume Avery is a knight. No contradiction is found in their claim that Sebastian is a knave or Harper is a knight.", "Aiden cannot be a knight, because this would contradict the claim of their own that Avery is a knave.", "Assume Aiden is a knave. No contradiction is found in their false claim that Avery is a knave.", "Lucas cannot be a knight, because this would contradict the claim of their own that Logan is a knight if and only if Harper is a knight.", "Assume Lucas is a knave. No contradiction is found in their false claim that Logan is a knight if and only if Harper is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 5), ('lying', 6)), ('lying', 6), ('<=>', ('telling-truth', 4), ('telling-truth', 5)), ('not', ('telling-truth', 5)), ('or', ('telling-truth', 3), ('lying', 0)), ('->', ('telling-truth', 4), ('telling-truth', 3)), ('or', ('lying', 3), ('telling-truth', 5)))", "index": 917}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Luke, Harper, Matthew, Daniel, Abigail, Zoey, and Jack. As Luke put it, \"If Harper is a knave then Harper is a knight\". Harper was heard saying, \"If Jack is a knave then Matthew is a knave\". Matthew stated, \"Zoey is a knight and Daniel is a knave\". \"If Abigail is a knight then Luke is a knight,\" Daniel claimed. Abigail asserted: \"If Matthew is a knight then Abigail is a knight\". Zoey asserted: \"Harper is a knave and Harper is a knight\". Jack asserted: \"Abigail is a knight if and only if Abigail is a knave\". So who is a knight and who is a knave?", "names": ["Luke", "Harper", "Matthew", "Daniel", "Abigail", "Zoey", "Jack"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true, true, false, false], "solution_text": "Luke is a knight, Harper is a knight, Matthew is a knave, Daniel is a knight, Abigail is a knight, Zoey is a knave, and Jack is a knave.", "solution_text_format": "(1) Luke is a knight\n(2) Harper is a knight\n(3) Matthew is a knave\n(4) Daniel is a knight\n(5) Abigail is a knight\n(6) Zoey is a knave\n(7) Jack is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Luke is a knight. No contradiction is found in their claim that If Harper is a knave then Harper is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that If Jack is a knave then Matthew is a knave.", "Jack cannot be a knight, because this would contradict the claim of their own that Abigail is a knight if and only if Abigail is a knave.", "Assume Jack is a knave. No contradiction is found in their false claim that Abigail is a knight if and only if Abigail is a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that If Matthew is a knight then Abigail is a knight.", "Matthew cannot be a knight, because this would contradict the claim of Harper that If Jack is a knave then Matthew is a knave.", "Assume Matthew is a knave. No contradiction is found in their false claim that Zoey is a knight and Daniel is a knave.", "Zoey cannot be a knight, because this would contradict the claim of their own that Harper is a knave and Harper is a knight.", "Assume Zoey is a knave. No contradiction is found in their false claim that Harper is a knave and Harper is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that If Abigail is a knight then Luke is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 1), ('telling-truth', 1)), ('->', ('lying', 6), ('lying', 2)), ('and', ('telling-truth', 5), ('lying', 3)), ('->', ('telling-truth', 4), ('telling-truth', 0)), ('->', ('telling-truth', 2), ('telling-truth', 4)), ('and', ('lying', 1), ('telling-truth', 1)), ('<=>', ('telling-truth', 4), ('lying', 4)))", "index": 918}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Ella, Isabella, Daniel, Olivia, Alexander, Aria, and Grace. Ella said, \"Olivia is a knave if and only if Aria is a knave.\" As Isabella put it, \"If Olivia is a knave then Grace is a knight\". In a statement by Daniel: \"If Olivia is a knave then Alexander is a knight\". Olivia expressed that If Isabella is a knave then Ella is a knave. \"Olivia is not a knight,\" Alexander mentioned. \"Grace is a knight or Alexander is a knight,\" Aria claimed. \"If Aria is a knave then Alexander is a knave,\" Grace claimed. So who is a knight and who is a knave?", "names": ["Ella", "Isabella", "Daniel", "Olivia", "Alexander", "Aria", "Grace"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, false, true, true], "solution_text": "Ella is a knight, Isabella is a knight, Daniel is a knight, Olivia is a knight, Alexander is a knave, Aria is a knight, and Grace is a knight.", "solution_text_format": "(1) Ella is a knight\n(2) Isabella is a knight\n(3) Daniel is a knight\n(4) Olivia is a knight\n(5) Alexander is a knave\n(6) Aria is a knight\n(7) Grace is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ella is a knight. No contradiction is found in their claim that Olivia is a knave if and only if Aria is a knave.", "Assume Olivia is a knight. No contradiction is found in their claim that If Isabella is a knave then Ella is a knave.", "Assume Isabella is a knight. No contradiction is found in their claim that If Olivia is a knave then Grace is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that If Aria is a knave then Alexander is a knave.", "Assume Aria is a knight. No contradiction is found in their claim that Grace is a knight or Alexander is a knight.", "Alexander cannot be a knight, because this would contradict the claim of their own that Olivia is not a knight.", "Assume Alexander is a knave. No contradiction is found in their false claim that Olivia is not a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that If Olivia is a knave then Alexander is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 3), ('lying', 5)), ('->', ('lying', 3), ('telling-truth', 6)), ('->', ('lying', 3), ('telling-truth', 4)), ('->', ('lying', 1), ('lying', 0)), ('not', ('telling-truth', 3)), ('or', ('telling-truth', 6), ('telling-truth', 4)), ('->', ('lying', 5), ('lying', 4)))", "index": 919}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Sofia, Isabella, Avery, Sebastian, Logan, Evelyn, and Emily. As Sofia put it, \"Evelyn is a knave and Logan is a knight\". \"Evelyn is a knave if and only if Avery is a knave,\" Isabella claimed. Avery noted, \"Logan is not a knave\". Sebastian stated, \"Avery is a knave and Emily is a knight\". \"Evelyn is a knight,\" Logan declared. \"If Sofia is a knight then Sebastian is a knave,\" Evelyn mentioned. Emily remarked, \"Sofia is a knave or Evelyn is a knave\". So who is a knight and who is a knave?", "names": ["Sofia", "Isabella", "Avery", "Sebastian", "Logan", "Evelyn", "Emily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false, true, true, true], "solution_text": "Sofia is a knave, Isabella is a knight, Avery is a knight, Sebastian is a knave, Logan is a knight, Evelyn is a knight, and Emily is a knight.", "solution_text_format": "(1) Sofia is a knave\n(2) Isabella is a knight\n(3) Avery is a knight\n(4) Sebastian is a knave\n(5) Logan is a knight\n(6) Evelyn is a knight\n(7) Emily is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sofia is a knight. No contradiction is found in their claim that Evelyn is a knave and Logan is a knight.", "Evelyn cannot be a knight, because this would contradict the claim of Sofia that Evelyn is a knave and Logan is a knight.", "Assume Evelyn is a knave. No contradiction is found in their false claim that If Sofia is a knight then Sebastian is a knave.", "Assume Sebastian is a knight. No contradiction is found in their claim that Avery is a knave and Emily is a knight.", "Avery cannot be a knight, because this would contradict the claim of Sebastian that Avery is a knave and Emily is a knight.", "Assume Avery is a knave. No contradiction is found in their false claim that Logan is not a knave.", "Logan cannot be a knight, because this would contradict the false claim of Avery that Logan is not a knave.", "Logan cannot be a knave, because this would contradict the claim of Sofia that Evelyn is a knave and Logan is a knight.", "We have exhausted all possibilities for Logan and Avery, so let us go back and reconsider Sebastian.", "Sebastian cannot be a knave, because this would contradict the false claim of Evelyn that If Sofia is a knight then Sebastian is a knave.", "We have exhausted all possibilities for Sebastian and Evelyn, so let us go back and reconsider Sofia.", "Assume Sofia is a knave. No contradiction is found in their false claim that Evelyn is a knave and Logan is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that If Sofia is a knight then Sebastian is a knave.", "Assume Sebastian is a knight. No contradiction is found in their claim that Avery is a knave and Emily is a knight.", "Avery cannot be a knight, because this would contradict the claim of Sebastian that Avery is a knave and Emily is a knight.", "Assume Avery is a knave. No contradiction is found in their false claim that Logan is not a knave.", "Logan cannot be a knight, because this would contradict the false claim of Avery that Logan is not a knave.", "Logan cannot be a knave, because this would contradict the false claim of their own that Evelyn is a knight.", "We have exhausted all possibilities for Logan and Avery, so let us go back and reconsider Sebastian.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Avery is a knave and Emily is a knight.", "Assume Avery is a knight. No contradiction is found in their claim that Logan is not a knave.", "Assume Logan is a knight. No contradiction is found in their claim that Evelyn is a knight.", "Assume Emily is a knight. No contradiction is found in their claim that Sofia is a knave or Evelyn is a knave.", "Assume Isabella is a knight. No contradiction is found in their claim that Evelyn is a knave if and only if Avery is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 5), ('telling-truth', 4)), ('<=>', ('lying', 5), ('lying', 2)), ('not', ('lying', 4)), ('and', ('lying', 2), ('telling-truth', 6)), ('telling-truth', 5), ('->', ('telling-truth', 0), ('lying', 3)), ('or', ('lying', 0), ('lying', 5)))", "index": 920}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Benjamin, Aurora, William, Owen, Isabella, Aiden, and Mia. \"Owen is a knight if and only if Aurora is a knave\" - Benjamin. Aurora was heard saying, \"William is not a knave\". William noted, \"Isabella is a knave\". \"William is a knave,\" Owen declared. As Isabella put it, \"Mia is not a knight\". According to Aiden, \"William is a knight or Owen is a knave\". Mia commented, \"Owen is a knave if and only if Aiden is a knave\". So who is a knight and who is a knave?", "names": ["Benjamin", "Aurora", "William", "Owen", "Isabella", "Aiden", "Mia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, true, false, false], "solution_text": "Benjamin is a knight, Aurora is a knave, William is a knave, Owen is a knight, Isabella is a knight, Aiden is a knave, and Mia is a knave.", "solution_text_format": "(1) Benjamin is a knight\n(2) Aurora is a knave\n(3) William is a knave\n(4) Owen is a knight\n(5) Isabella is a knight\n(6) Aiden is a knave\n(7) Mia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Benjamin is a knight. No contradiction is found in their claim that Owen is a knight if and only if Aurora is a knave.", "Assume Owen is a knight. No contradiction is found in their claim that William is a knave.", "William cannot be a knight, because this would contradict the claim of Owen that William is a knave.", "Assume William is a knave. No contradiction is found in their false claim that Isabella is a knave.", "Assume Isabella is a knight. No contradiction is found in their claim that Mia is not a knight.", "Mia cannot be a knight, because this would contradict the claim of Isabella that Mia is not a knight.", "Assume Mia is a knave. No contradiction is found in their false claim that Owen is a knave if and only if Aiden is a knave.", "Aiden cannot be a knight, because this would contradict the claim of their own that William is a knight or Owen is a knave.", "Assume Aiden is a knave. No contradiction is found in their false claim that William is a knight or Owen is a knave.", "Aurora cannot be a knight, because this would contradict the claim of Benjamin that Owen is a knight if and only if Aurora is a knave.", "Assume Aurora is a knave. No contradiction is found in their false claim that William is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 3), ('lying', 1)), ('not', ('lying', 2)), ('lying', 4), ('lying', 2), ('not', ('telling-truth', 6)), ('or', ('telling-truth', 2), ('lying', 3)), ('<=>', ('lying', 3), ('lying', 5)))", "index": 921}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Grace, Ella, Ava, Jacob, Lucas, Olivia, and Isabella. According to Grace, \"If Isabella is a knave then Ella is a knight\". As Ella put it, \"Olivia is not a knight\". Ava expressed that Lucas is not a knight. As Jacob put it, \"Ella is a knave or Lucas is a knave\". Lucas said that Olivia is a knave and Jacob is a knight. Olivia told you that Ella is a knave or Isabella is a knave. \"If Lucas is a knave then Ava is a knight,\" Isabella claimed. So who is a knight and who is a knave?", "names": ["Grace", "Ella", "Ava", "Jacob", "Lucas", "Olivia", "Isabella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, false, true, true], "solution_text": "Grace is a knight, Ella is a knave, Ava is a knight, Jacob is a knight, Lucas is a knave, Olivia is a knight, and Isabella is a knight.", "solution_text_format": "(1) Grace is a knight\n(2) Ella is a knave\n(3) Ava is a knight\n(4) Jacob is a knight\n(5) Lucas is a knave\n(6) Olivia is a knight\n(7) Isabella is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Grace is a knight. No contradiction is found in their claim that If Isabella is a knave then Ella is a knight.", "Assume Isabella is a knight. No contradiction is found in their claim that If Lucas is a knave then Ava is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that Olivia is a knave and Jacob is a knight.", "Olivia cannot be a knight, because this would contradict the claim of Lucas that Olivia is a knave and Jacob is a knight.", "Assume Olivia is a knave. No contradiction is found in their false claim that Ella is a knave or Isabella is a knave.", "Assume Ella is a knight. No contradiction is found in their claim that Olivia is not a knight.", "Jacob cannot be a knight, because this would contradict the claim of their own that Ella is a knave or Lucas is a knave.", "Jacob cannot be a knave, because this would contradict the claim of Lucas that Olivia is a knave and Jacob is a knight.", "We have exhausted all possibilities for Jacob, so let us go back and reconsider Ella.", "Ella cannot be a knave, because this would contradict the false claim of their own that Olivia is not a knight.", "We have exhausted all possibilities for Ella and Olivia, so let us go back and reconsider Lucas.", "Assume Lucas is a knave. No contradiction is found in their false claim that Olivia is a knave and Jacob is a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that Ella is a knave or Isabella is a knave.", "Ella cannot be a knight, because this would contradict the claim of their own that Olivia is not a knight.", "Assume Ella is a knave. No contradiction is found in their false claim that Olivia is not a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that Ella is a knave or Lucas is a knave.", "Assume Ava is a knight. No contradiction is found in their claim that Lucas is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 6), ('telling-truth', 1)), ('not', ('telling-truth', 5)), ('not', ('telling-truth', 4)), ('or', ('lying', 1), ('lying', 4)), ('and', ('lying', 5), ('telling-truth', 3)), ('or', ('lying', 1), ('lying', 6)), ('->', ('lying', 4), ('telling-truth', 2)))", "index": 922}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Lucas, David, Sofia, Riley, Samuel, Aiden, and Ella. \"If Lucas is a knight then Ella is a knight\" - Lucas. As David put it, \"Riley is a knight if and only if Aiden is a knave\". According to Sofia, \"Samuel is a knave or Aiden is a knight\". As Riley put it, \"Sofia is a knight if and only if Samuel is a knight\". Samuel commented, \"Lucas is a knave and David is a knave\". \"Riley is a knave and Lucas is a knight\" - Aiden. Ella noted, \"David is a knave or Ella is a knight\". So who is a knight and who is a knave?", "names": ["Lucas", "David", "Sofia", "Riley", "Samuel", "Aiden", "Ella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false, false, true, true], "solution_text": "Lucas is a knight, David is a knight, Sofia is a knight, Riley is a knave, Samuel is a knave, Aiden is a knight, and Ella is a knight.", "solution_text_format": "(1) Lucas is a knight\n(2) David is a knight\n(3) Sofia is a knight\n(4) Riley is a knave\n(5) Samuel is a knave\n(6) Aiden is a knight\n(7) Ella is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Lucas is a knight. No contradiction is found in their claim that If Lucas is a knight then Ella is a knight.", "Assume Ella is a knight. No contradiction is found in their claim that David is a knave or Ella is a knight.", "Assume David is a knight. No contradiction is found in their claim that Riley is a knight if and only if Aiden is a knave.", "Assume Riley is a knight. No contradiction is found in their claim that Sofia is a knight if and only if Samuel is a knight.", "Assume Sofia is a knight. No contradiction is found in their claim that Samuel is a knave or Aiden is a knight.", "Samuel cannot be a knight, because this would contradict the claim of their own that Lucas is a knave and David is a knave.", "Samuel cannot be a knave, because this would contradict the claim of Riley that Sofia is a knight if and only if Samuel is a knight.", "We have exhausted all possibilities for Samuel, so let us go back and reconsider Sofia.", "Assume Sofia is a knave. No contradiction is found in their false claim that Samuel is a knave or Aiden is a knight.", "Samuel cannot be a knight, because this would contradict the claim of Riley that Sofia is a knight if and only if Samuel is a knight.", "Samuel cannot be a knave, because this would contradict the false claim of Sofia that Samuel is a knave or Aiden is a knight.", "We have exhausted all possibilities for Samuel and Sofia, so let us go back and reconsider Riley.", "Assume Riley is a knave. No contradiction is found in their false claim that Sofia is a knight if and only if Samuel is a knight.", "Assume Sofia is a knight. No contradiction is found in their claim that Samuel is a knave or Aiden is a knight.", "Samuel cannot be a knight, because this would contradict the false claim of Riley that Sofia is a knight if and only if Samuel is a knight.", "Assume Samuel is a knave. No contradiction is found in their false claim that Lucas is a knave and David is a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that Riley is a knave and Lucas is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 0), ('telling-truth', 6)), ('<=>', ('telling-truth', 3), ('lying', 5)), ('or', ('lying', 4), ('telling-truth', 5)), ('<=>', ('telling-truth', 2), ('telling-truth', 4)), ('and', ('lying', 0), ('lying', 1)), ('and', ('lying', 3), ('telling-truth', 0)), ('or', ('lying', 1), ('telling-truth', 6)))", "index": 923}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Samuel, Amelia, Scarlett, Benjamin, Harper, Charlotte, and Penelope. Samuel stated, \"Penelope is a knave and Scarlett is a knave\". In a statement by Amelia: \"Benjamin is a knight\". As Scarlett put it, \"Benjamin is a knave and Penelope is a knight\". Benjamin asserted: \"Charlotte is a knave and Scarlett is a knight\". Harper expressed that Charlotte is not a knight. Charlotte asserted: \"Benjamin is not a knave\". \"Samuel is a knave and Charlotte is a knave,\" Penelope declared. So who is a knight and who is a knave?", "names": ["Samuel", "Amelia", "Scarlett", "Benjamin", "Harper", "Charlotte", "Penelope"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false, true, false, false], "solution_text": "Samuel is a knight, Amelia is a knave, Scarlett is a knave, Benjamin is a knave, Harper is a knight, Charlotte is a knave, and Penelope is a knave.", "solution_text_format": "(1) Samuel is a knight\n(2) Amelia is a knave\n(3) Scarlett is a knave\n(4) Benjamin is a knave\n(5) Harper is a knight\n(6) Charlotte is a knave\n(7) Penelope is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Samuel is a knight. No contradiction is found in their claim that Penelope is a knave and Scarlett is a knave.", "Penelope cannot be a knight, because this would contradict the claim of Samuel that Penelope is a knave and Scarlett is a knave.", "Assume Penelope is a knave. No contradiction is found in their false claim that Samuel is a knave and Charlotte is a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that Benjamin is not a knave.", "Benjamin cannot be a knight, because this would contradict the claim of their own that Charlotte is a knave and Scarlett is a knight.", "Benjamin cannot be a knave, because this would contradict the claim of Charlotte that Benjamin is not a knave.", "We have exhausted all possibilities for Benjamin, so let us go back and reconsider Charlotte.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Benjamin is not a knave.", "Benjamin cannot be a knight, because this would contradict the false claim of Charlotte that Benjamin is not a knave.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Charlotte is a knave and Scarlett is a knight.", "Scarlett cannot be a knight, because this would contradict the claim of Samuel that Penelope is a knave and Scarlett is a knave.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Benjamin is a knave and Penelope is a knight.", "Amelia cannot be a knight, because this would contradict the claim of their own that Benjamin is a knight.", "Assume Amelia is a knave. No contradiction is found in their false claim that Benjamin is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that Charlotte is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 6), ('lying', 2)), ('telling-truth', 3), ('and', ('lying', 3), ('telling-truth', 6)), ('and', ('lying', 5), ('telling-truth', 2)), ('not', ('telling-truth', 5)), ('not', ('lying', 3)), ('and', ('lying', 0), ('lying', 5)))", "index": 924}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Sophia, Chloe, Charlotte, Alexander, Sebastian, Benjamin, and Lucas. Sophia noted, \"Chloe is a knave\". Chloe said, \"Alexander is not a knight.\" Charlotte told you that Benjamin is a knave or Chloe is a knight. Alexander expressed that Chloe is a knave if and only if Lucas is a knave. In Sebastian's words: \"Lucas is a knave or Sophia is a knight\". Benjamin was heard saying, \"Chloe is a knave or Sophia is a knave\". Lucas asserted: \"Chloe is a knight and Sebastian is a knight\". So who is a knight and who is a knave?", "names": ["Sophia", "Chloe", "Charlotte", "Alexander", "Sebastian", "Benjamin", "Lucas"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, true, true, false], "solution_text": "Sophia is a knight, Chloe is a knave, Charlotte is a knave, Alexander is a knight, Sebastian is a knight, Benjamin is a knight, and Lucas is a knave.", "solution_text_format": "(1) Sophia is a knight\n(2) Chloe is a knave\n(3) Charlotte is a knave\n(4) Alexander is a knight\n(5) Sebastian is a knight\n(6) Benjamin is a knight\n(7) Lucas is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sophia is a knight. No contradiction is found in their claim that Chloe is a knave.", "Chloe cannot be a knight, because this would contradict the claim of Sophia that Chloe is a knave.", "Assume Chloe is a knave. No contradiction is found in their false claim that Alexander is not a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that Chloe is a knave if and only if Lucas is a knave.", "Lucas cannot be a knight, because this would contradict the claim of Alexander that Chloe is a knave if and only if Lucas is a knave.", "Assume Lucas is a knave. No contradiction is found in their false claim that Chloe is a knight and Sebastian is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Lucas is a knave or Sophia is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that Benjamin is a knave or Chloe is a knight.", "Benjamin cannot be a knight, because this would contradict the claim of Charlotte that Benjamin is a knave or Chloe is a knight.", "Benjamin cannot be a knave, because this would contradict the false claim of their own that Chloe is a knave or Sophia is a knave.", "We have exhausted all possibilities for Benjamin, so let us go back and reconsider Charlotte.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Benjamin is a knave or Chloe is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that Chloe is a knave or Sophia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('not', ('telling-truth', 3)), ('or', ('lying', 5), ('telling-truth', 1)), ('<=>', ('lying', 1), ('lying', 6)), ('or', ('lying', 6), ('telling-truth', 0)), ('or', ('lying', 1), ('lying', 0)), ('and', ('telling-truth', 1), ('telling-truth', 4)))", "index": 925}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Matthew, Benjamin, Jacob, Jack, Ella, Samuel, and Evelyn. Matthew asserted: \"Jacob is a knave or Jack is a knight\". \"Samuel is a knave,\" Benjamin mentioned. In a statement by Jacob: \"Jacob is a knight if and only if Benjamin is a knight\". Jack commented, \"Jacob is a knight if and only if Samuel is a knave\". Ella told you that Matthew is a knave if and only if Benjamin is a knave. In a statement by Samuel: \"Benjamin is a knight and Jacob is a knight\". Evelyn asserted: \"Benjamin is a knight and Ella is a knight\". So who is a knight and who is a knave?", "names": ["Matthew", "Benjamin", "Jacob", "Jack", "Ella", "Samuel", "Evelyn"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false, true, false, true], "solution_text": "Matthew is a knight, Benjamin is a knight, Jacob is a knave, Jack is a knave, Ella is a knight, Samuel is a knave, and Evelyn is a knight.", "solution_text_format": "(1) Matthew is a knight\n(2) Benjamin is a knight\n(3) Jacob is a knave\n(4) Jack is a knave\n(5) Ella is a knight\n(6) Samuel is a knave\n(7) Evelyn is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Matthew is a knight. No contradiction is found in their claim that Jacob is a knave or Jack is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that Jacob is a knight if and only if Benjamin is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that Samuel is a knave.", "Samuel cannot be a knight, because this would contradict the claim of Benjamin that Samuel is a knave.", "Samuel cannot be a knave, because this would contradict the false claim of their own that Benjamin is a knight and Jacob is a knight.", "We have exhausted all possibilities for Samuel, so let us go back and reconsider Benjamin.", "Benjamin cannot be a knave, because this would contradict the claim of Jacob that Jacob is a knight if and only if Benjamin is a knight.", "We have exhausted all possibilities for Benjamin, so let us go back and reconsider Jacob.", "Assume Jacob is a knave. No contradiction is found in their false claim that Jacob is a knight if and only if Benjamin is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that Samuel is a knave.", "Samuel cannot be a knight, because this would contradict the claim of Benjamin that Samuel is a knave.", "Assume Samuel is a knave. No contradiction is found in their false claim that Benjamin is a knight and Jacob is a knight.", "Jack cannot be a knight, because this would contradict the claim of their own that Jacob is a knight if and only if Samuel is a knave.", "Assume Jack is a knave. No contradiction is found in their false claim that Jacob is a knight if and only if Samuel is a knave.", "Assume Ella is a knight. No contradiction is found in their claim that Matthew is a knave if and only if Benjamin is a knave.", "Assume Evelyn is a knight. No contradiction is found in their claim that Benjamin is a knight and Ella is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 2), ('telling-truth', 3)), ('lying', 5), ('<=>', ('telling-truth', 2), ('telling-truth', 1)), ('<=>', ('telling-truth', 2), ('lying', 5)), ('<=>', ('lying', 0), ('lying', 1)), ('and', ('telling-truth', 1), ('telling-truth', 2)), ('and', ('telling-truth', 1), ('telling-truth', 4)))", "index": 926}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Charlotte, Avery, Oliver, Sebastian, Aurora, Sofia, and Lily. Charlotte asserted: \"Sofia is a knave\". \"Sofia is a knave or Oliver is a knight,\" Avery claimed. \"If Sebastian is a knight then Oliver is a knight,\" Oliver claimed. Sebastian expressed that Aurora is a knight. \"Oliver is not a knight,\" Aurora mentioned. Sofia told you that Lily is not a knave. Lily said, \"Sebastian is a knave and Charlotte is a knight.\" So who is a knight and who is a knave?", "names": ["Charlotte", "Avery", "Oliver", "Sebastian", "Aurora", "Sofia", "Lily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true, true, false, false], "solution_text": "Charlotte is a knight, Avery is a knight, Oliver is a knave, Sebastian is a knight, Aurora is a knight, Sofia is a knave, and Lily is a knave.", "solution_text_format": "(1) Charlotte is a knight\n(2) Avery is a knight\n(3) Oliver is a knave\n(4) Sebastian is a knight\n(5) Aurora is a knight\n(6) Sofia is a knave\n(7) Lily is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Charlotte is a knight. No contradiction is found in their claim that Sofia is a knave.", "Sofia cannot be a knight, because this would contradict the claim of Charlotte that Sofia is a knave.", "Assume Sofia is a knave. No contradiction is found in their false claim that Lily is not a knave.", "Lily cannot be a knight, because this would contradict the false claim of Sofia that Lily is not a knave.", "Assume Lily is a knave. No contradiction is found in their false claim that Sebastian is a knave and Charlotte is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Aurora is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that Oliver is not a knight.", "Oliver cannot be a knight, because this would contradict the claim of Aurora that Oliver is not a knight.", "Assume Oliver is a knave. No contradiction is found in their false claim that If Sebastian is a knight then Oliver is a knight.", "Assume Avery is a knight. No contradiction is found in their claim that Sofia is a knave or Oliver is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 5), ('or', ('lying', 5), ('telling-truth', 2)), ('->', ('telling-truth', 3), ('telling-truth', 2)), ('telling-truth', 4), ('not', ('telling-truth', 2)), ('not', ('lying', 6)), ('and', ('lying', 3), ('telling-truth', 0)))", "index": 927}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Joseph, Benjamin, Penelope, Avery, Henry, Mason, and Oliver. Joseph said, \"Oliver is a knave or Avery is a knave.\" Benjamin stated, \"Henry is a knight if and only if Henry is a knave\". Penelope said, \"Oliver is a knave.\" In Avery's words: \"Penelope is a knight\". Henry expressed that Oliver is a knave or Joseph is a knight. \"If Oliver is a knight then Joseph is a knight\" - Mason. \"Henry is a knave,\" Oliver claimed. So who is a knight and who is a knave?", "names": ["Joseph", "Benjamin", "Penelope", "Avery", "Henry", "Mason", "Oliver"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, true, true, false], "solution_text": "Joseph is a knight, Benjamin is a knave, Penelope is a knight, Avery is a knight, Henry is a knight, Mason is a knight, and Oliver is a knave.", "solution_text_format": "(1) Joseph is a knight\n(2) Benjamin is a knave\n(3) Penelope is a knight\n(4) Avery is a knight\n(5) Henry is a knight\n(6) Mason is a knight\n(7) Oliver is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Joseph is a knight. No contradiction is found in their claim that Oliver is a knave or Avery is a knave.", "Assume Oliver is a knight. No contradiction is found in their claim that Henry is a knave.", "Henry cannot be a knight, because this would contradict the claim of Oliver that Henry is a knave.", "Henry cannot be a knave, because this would contradict the false claim of their own that Oliver is a knave or Joseph is a knight.", "We have exhausted all possibilities for Henry, so let us go back and reconsider Oliver.", "Assume Oliver is a knave. No contradiction is found in their false claim that Henry is a knave.", "Assume Henry is a knight. No contradiction is found in their claim that Oliver is a knave or Joseph is a knight.", "Assume Avery is a knight. No contradiction is found in their claim that Penelope is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that Oliver is a knave.", "Benjamin cannot be a knight, because this would contradict the claim of their own that Henry is a knight if and only if Henry is a knave.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Henry is a knight if and only if Henry is a knave.", "Assume Mason is a knight. No contradiction is found in their claim that If Oliver is a knight then Joseph is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 6), ('lying', 3)), ('<=>', ('telling-truth', 4), ('lying', 4)), ('lying', 6), ('telling-truth', 2), ('or', ('lying', 6), ('telling-truth', 0)), ('->', ('telling-truth', 6), ('telling-truth', 0)), ('lying', 4))", "index": 928}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Chloe, Sebastian, Owen, Emma, Charlotte, Michael, and Ethan. Chloe said that If Charlotte is a knave then Ethan is a knave. As Sebastian put it, \"Emma is a knight\". Owen stated, \"Sebastian is not a knight\". In Emma's words: \"If Owen is a knight then Sebastian is a knave\". In Charlotte's words: \"Owen is a knave\". In Michael's words: \"Emma is a knave\". In a statement by Ethan: \"Chloe is a knight or Ethan is a knight\". So who is a knight and who is a knave?", "names": ["Chloe", "Sebastian", "Owen", "Emma", "Charlotte", "Michael", "Ethan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true, true, false, true], "solution_text": "Chloe is a knight, Sebastian is a knight, Owen is a knave, Emma is a knight, Charlotte is a knight, Michael is a knave, and Ethan is a knight.", "solution_text_format": "(1) Chloe is a knight\n(2) Sebastian is a knight\n(3) Owen is a knave\n(4) Emma is a knight\n(5) Charlotte is a knight\n(6) Michael is a knave\n(7) Ethan is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Chloe is a knight. No contradiction is found in their claim that If Charlotte is a knave then Ethan is a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that Owen is a knave.", "Owen cannot be a knight, because this would contradict the claim of Charlotte that Owen is a knave.", "Assume Owen is a knave. No contradiction is found in their false claim that Sebastian is not a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Emma is a knight.", "Assume Emma is a knight. No contradiction is found in their claim that If Owen is a knight then Sebastian is a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that Chloe is a knight or Ethan is a knight.", "Michael cannot be a knight, because this would contradict the claim of their own that Emma is a knave.", "Assume Michael is a knave. No contradiction is found in their false claim that Emma is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 4), ('lying', 6)), ('telling-truth', 3), ('not', ('telling-truth', 1)), ('->', ('telling-truth', 2), ('lying', 1)), ('lying', 2), ('lying', 3), ('or', ('telling-truth', 0), ('telling-truth', 6)))", "index": 929}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Lucas, Jack, William, Riley, Aurora, Penelope, and Oliver. Lucas asserted: \"Penelope is a knight and Lucas is a knight\". Jack commented, \"Penelope is not a knight\". William asserted: \"Aurora is a knave\". In Riley's words: \"William is not a knave\". \"If Lucas is a knave then Lucas is a knight\" - Aurora. \"Jack is a knave if and only if William is a knight,\" Penelope declared. According to Oliver, \"If Oliver is a knight then Penelope is a knave\". So who is a knight and who is a knave?", "names": ["Lucas", "Jack", "William", "Riley", "Aurora", "Penelope", "Oliver"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, false, false, true], "solution_text": "Lucas is a knave, Jack is a knight, William is a knight, Riley is a knight, Aurora is a knave, Penelope is a knave, and Oliver is a knight.", "solution_text_format": "(1) Lucas is a knave\n(2) Jack is a knight\n(3) William is a knight\n(4) Riley is a knight\n(5) Aurora is a knave\n(6) Penelope is a knave\n(7) Oliver is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Lucas is a knight. No contradiction is found in their claim that Penelope is a knight and Lucas is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that Jack is a knave if and only if William is a knight.", "Jack cannot be a knight, because this would contradict the claim of their own that Penelope is not a knight.", "Assume Jack is a knave. No contradiction is found in their false claim that Penelope is not a knight.", "Assume William is a knight. No contradiction is found in their claim that Aurora is a knave.", "Aurora cannot be a knight, because this would contradict the claim of William that Aurora is a knave.", "Aurora cannot be a knave, because this would contradict the false claim of their own that If Lucas is a knave then Lucas is a knight.", "We have exhausted all possibilities for Aurora, so let us go back and reconsider William.", "William cannot be a knave, because this would contradict the claim of Penelope that Jack is a knave if and only if William is a knight.", "We have exhausted all possibilities for William and Jack, so let us go back and reconsider Penelope.", "Penelope cannot be a knave, because this would contradict the claim of Lucas that Penelope is a knight and Lucas is a knight.", "We have exhausted all possibilities for Penelope, so let us go back and reconsider Lucas.", "Assume Lucas is a knave. No contradiction is found in their false claim that Penelope is a knight and Lucas is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that Jack is a knave if and only if William is a knight.", "Jack cannot be a knight, because this would contradict the claim of their own that Penelope is not a knight.", "Assume Jack is a knave. No contradiction is found in their false claim that Penelope is not a knight.", "Assume William is a knight. No contradiction is found in their claim that Aurora is a knave.", "Aurora cannot be a knight, because this would contradict the claim of William that Aurora is a knave.", "Assume Aurora is a knave. No contradiction is found in their false claim that If Lucas is a knave then Lucas is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that William is not a knave.", "Oliver cannot be a knight, because this would contradict the claim of their own that If Oliver is a knight then Penelope is a knave.", "Oliver cannot be a knave, because this would contradict the false claim of their own that If Oliver is a knight then Penelope is a knave.", "We have exhausted all possibilities for Oliver, so let us go back and reconsider Riley.", "Riley cannot be a knave, because this would contradict the false claim of their own that William is not a knave.", "We have exhausted all possibilities for Riley and Aurora, so let us go back and reconsider William.", "William cannot be a knave, because this would contradict the claim of Penelope that Jack is a knave if and only if William is a knight.", "We have exhausted all possibilities for William and Jack, so let us go back and reconsider Penelope.", "Assume Penelope is a knave. No contradiction is found in their false claim that Jack is a knave if and only if William is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that Penelope is not a knight.", "Assume William is a knight. No contradiction is found in their claim that Aurora is a knave.", "Aurora cannot be a knight, because this would contradict the claim of William that Aurora is a knave.", "Assume Aurora is a knave. No contradiction is found in their false claim that If Lucas is a knave then Lucas is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that William is not a knave.", "Assume Oliver is a knight. No contradiction is found in their claim that If Oliver is a knight then Penelope is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 5), ('telling-truth', 0)), ('not', ('telling-truth', 5)), ('lying', 4), ('not', ('lying', 2)), ('->', ('lying', 0), ('telling-truth', 0)), ('<=>', ('lying', 1), ('telling-truth', 2)), ('->', ('telling-truth', 6), ('lying', 5)))", "index": 930}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Abigail, Lily, Henry, Aiden, Aurora, Avery, and Owen. As Abigail put it, \"If Lily is a knave then Henry is a knight\". As Lily put it, \"Owen is a knave or Abigail is a knave\". Henry expressed that Owen is a knave if and only if Aiden is a knight. According to Aiden, \"Lily is a knave or Avery is a knight\". In Aurora's words: \"Aiden is a knight or Henry is a knight\". Avery commented, \"If Owen is a knight then Aurora is a knave\". Owen stated, \"Owen is a knight and Aiden is a knight\". So who is a knight and who is a knave?", "names": ["Abigail", "Lily", "Henry", "Aiden", "Aurora", "Avery", "Owen"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, true, true, false], "solution_text": "Abigail is a knight, Lily is a knight, Henry is a knight, Aiden is a knight, Aurora is a knight, Avery is a knight, and Owen is a knave.", "solution_text_format": "(1) Abigail is a knight\n(2) Lily is a knight\n(3) Henry is a knight\n(4) Aiden is a knight\n(5) Aurora is a knight\n(6) Avery is a knight\n(7) Owen is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Abigail is a knight. No contradiction is found in their claim that If Lily is a knave then Henry is a knight.", "Assume Lily is a knight. No contradiction is found in their claim that Owen is a knave or Abigail is a knave.", "Owen cannot be a knight, because this would contradict the claim of Lily that Owen is a knave or Abigail is a knave.", "Assume Owen is a knave. No contradiction is found in their false claim that Owen is a knight and Aiden is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that Lily is a knave or Avery is a knight.", "Assume Avery is a knight. No contradiction is found in their claim that If Owen is a knight then Aurora is a knave.", "Assume Aurora is a knight. No contradiction is found in their claim that Aiden is a knight or Henry is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that Owen is a knave if and only if Aiden is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 1), ('telling-truth', 2)), ('or', ('lying', 6), ('lying', 0)), ('<=>', ('lying', 6), ('telling-truth', 3)), ('or', ('lying', 1), ('telling-truth', 5)), ('or', ('telling-truth', 3), ('telling-truth', 2)), ('->', ('telling-truth', 6), ('lying', 4)), ('and', ('telling-truth', 6), ('telling-truth', 3)))", "index": 931}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Liam, Ava, Daniel, Ethan, Sofia, Amelia, and Chloe. Liam noted, \"Ava is a knave and Chloe is a knave\". \"Liam is a knave or Daniel is a knight\" - Ava. As Daniel put it, \"If Liam is a knave then Sofia is a knight\". Ethan asserted: \"If Amelia is a knave then Daniel is a knave\". \"Ethan is not a knave\" - Sofia. Amelia expressed that Liam is a knave. \"Sofia is a knave,\" Chloe mentioned. So who is a knight and who is a knave?", "names": ["Liam", "Ava", "Daniel", "Ethan", "Sofia", "Amelia", "Chloe"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, true, true, false], "solution_text": "Liam is a knave, Ava is a knight, Daniel is a knight, Ethan is a knight, Sofia is a knight, Amelia is a knight, and Chloe is a knave.", "solution_text_format": "(1) Liam is a knave\n(2) Ava is a knight\n(3) Daniel is a knight\n(4) Ethan is a knight\n(5) Sofia is a knight\n(6) Amelia is a knight\n(7) Chloe is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Liam is a knight. No contradiction is found in their claim that Ava is a knave and Chloe is a knave.", "Ava cannot be a knight, because this would contradict the claim of Liam that Ava is a knave and Chloe is a knave.", "Assume Ava is a knave. No contradiction is found in their false claim that Liam is a knave or Daniel is a knight.", "Daniel cannot be a knight, because this would contradict the false claim of Ava that Liam is a knave or Daniel is a knight.", "Daniel cannot be a knave, because this would contradict the false claim of their own that If Liam is a knave then Sofia is a knight.", "We have exhausted all possibilities for Daniel and Ava, so let us go back and reconsider Liam.", "Assume Liam is a knave. No contradiction is found in their false claim that Ava is a knave and Chloe is a knave.", "Assume Ava is a knight. No contradiction is found in their claim that Liam is a knave or Daniel is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that If Liam is a knave then Sofia is a knight.", "Assume Sofia is a knight. No contradiction is found in their claim that Ethan is not a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that If Amelia is a knave then Daniel is a knave.", "Assume Amelia is a knight. No contradiction is found in their claim that Liam is a knave.", "Chloe cannot be a knight, because this would contradict the claim of their own that Sofia is a knave.", "Assume Chloe is a knave. No contradiction is found in their false claim that Sofia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('lying', 6)), ('or', ('lying', 0), ('telling-truth', 2)), ('->', ('lying', 0), ('telling-truth', 4)), ('->', ('lying', 5), ('lying', 2)), ('not', ('lying', 3)), ('lying', 0), ('lying', 4))", "index": 932}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Jacob, Luke, Henry, Scarlett, Liam, Samuel, and Olivia. \"Luke is a knave and Scarlett is a knight,\" Jacob declared. \"Samuel is a knave if and only if Scarlett is a knave\" - Luke. In a statement by Henry: \"Scarlett is a knight if and only if Luke is a knight\". Scarlett said that Olivia is a knight or Jacob is a knave. Liam noted, \"Samuel is a knave or Henry is a knave\". Samuel noted, \"Olivia is not a knave\". As Olivia put it, \"Henry is not a knave\". So who is a knight and who is a knave?", "names": ["Jacob", "Luke", "Henry", "Scarlett", "Liam", "Samuel", "Olivia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, false, true, true], "solution_text": "Jacob is a knave, Luke is a knight, Henry is a knight, Scarlett is a knight, Liam is a knave, Samuel is a knight, and Olivia is a knight.", "solution_text_format": "(1) Jacob is a knave\n(2) Luke is a knight\n(3) Henry is a knight\n(4) Scarlett is a knight\n(5) Liam is a knave\n(6) Samuel is a knight\n(7) Olivia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jacob is a knight. No contradiction is found in their claim that Luke is a knave and Scarlett is a knight.", "Luke cannot be a knight, because this would contradict the claim of Jacob that Luke is a knave and Scarlett is a knight.", "Assume Luke is a knave. No contradiction is found in their false claim that Samuel is a knave if and only if Scarlett is a knave.", "Assume Samuel is a knight. No contradiction is found in their claim that Olivia is not a knave.", "Assume Olivia is a knight. No contradiction is found in their claim that Henry is not a knave.", "Assume Henry is a knight. No contradiction is found in their claim that Scarlett is a knight if and only if Luke is a knight.", "Scarlett cannot be a knight, because this would contradict the false claim of Luke that Samuel is a knave if and only if Scarlett is a knave.", "Scarlett cannot be a knave, because this would contradict the claim of Jacob that Luke is a knave and Scarlett is a knight.", "We have exhausted all possibilities for Scarlett, so let us go back and reconsider Henry.", "Henry cannot be a knave, because this would contradict the claim of Olivia that Henry is not a knave.", "We have exhausted all possibilities for Henry, so let us go back and reconsider Olivia.", "Olivia cannot be a knave, because this would contradict the claim of Samuel that Olivia is not a knave.", "We have exhausted all possibilities for Olivia, so let us go back and reconsider Samuel.", "Assume Samuel is a knave. No contradiction is found in their false claim that Olivia is not a knave.", "Olivia cannot be a knight, because this would contradict the false claim of Samuel that Olivia is not a knave.", "Assume Olivia is a knave. No contradiction is found in their false claim that Henry is not a knave.", "Henry cannot be a knight, because this would contradict the false claim of Olivia that Henry is not a knave.", "Assume Henry is a knave. No contradiction is found in their false claim that Scarlett is a knight if and only if Luke is a knight.", "Scarlett cannot be a knight, because this would contradict the claim of their own that Olivia is a knight or Jacob is a knave.", "Scarlett cannot be a knave, because this would contradict the claim of Jacob that Luke is a knave and Scarlett is a knight.", "We have exhausted all possibilities for Scarlett, Henry, Olivia, Samuel, and Luke, so let us go back and reconsider Jacob.", "Assume Jacob is a knave. No contradiction is found in their false claim that Luke is a knave and Scarlett is a knight.", "Assume Luke is a knight. No contradiction is found in their claim that Samuel is a knave if and only if Scarlett is a knave.", "Assume Samuel is a knight. No contradiction is found in their claim that Olivia is not a knave.", "Assume Olivia is a knight. No contradiction is found in their claim that Henry is not a knave.", "Assume Henry is a knight. No contradiction is found in their claim that Scarlett is a knight if and only if Luke is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that Olivia is a knight or Jacob is a knave.", "Liam cannot be a knight, because this would contradict the claim of their own that Samuel is a knave or Henry is a knave.", "Assume Liam is a knave. No contradiction is found in their false claim that Samuel is a knave or Henry is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('telling-truth', 3)), ('<=>', ('lying', 5), ('lying', 3)), ('<=>', ('telling-truth', 3), ('telling-truth', 1)), ('or', ('telling-truth', 6), ('lying', 0)), ('or', ('lying', 5), ('lying', 2)), ('not', ('lying', 6)), ('not', ('lying', 2)))", "index": 933}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Liam, Luke, Daniel, Amelia, Benjamin, Mason, and Ava. Liam commented, \"Mason is a knight if and only if Benjamin is a knight\". Luke remarked, \"Luke is a knight or Benjamin is a knave\". Daniel asserted: \"Ava is a knave or Benjamin is a knave\". \"Benjamin is not a knight,\" Amelia declared. Benjamin was heard saying, \"Mason is not a knight\". Mason told you that If Mason is a knight then Daniel is a knight. Ava commented, \"Amelia is a knight or Daniel is a knave\". So who is a knight and who is a knave?", "names": ["Liam", "Luke", "Daniel", "Amelia", "Benjamin", "Mason", "Ava"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, false, true, true], "solution_text": "Liam is a knave, Luke is a knight, Daniel is a knight, Amelia is a knight, Benjamin is a knave, Mason is a knight, and Ava is a knight.", "solution_text_format": "(1) Liam is a knave\n(2) Luke is a knight\n(3) Daniel is a knight\n(4) Amelia is a knight\n(5) Benjamin is a knave\n(6) Mason is a knight\n(7) Ava is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Liam is a knight. No contradiction is found in their claim that Mason is a knight if and only if Benjamin is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that If Mason is a knight then Daniel is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that Ava is a knave or Benjamin is a knave.", "Assume Ava is a knight. No contradiction is found in their claim that Amelia is a knight or Daniel is a knave.", "Assume Amelia is a knight. No contradiction is found in their claim that Benjamin is not a knight.", "Benjamin cannot be a knight, because this would contradict the claim of Daniel that Ava is a knave or Benjamin is a knave.", "Benjamin cannot be a knave, because this would contradict the claim of Liam that Mason is a knight if and only if Benjamin is a knight.", "We have exhausted all possibilities for Benjamin, so let us go back and reconsider Amelia.", "Amelia cannot be a knave, because this would contradict the claim of Ava that Amelia is a knight or Daniel is a knave.", "We have exhausted all possibilities for Amelia, so let us go back and reconsider Ava.", "Assume Ava is a knave. No contradiction is found in their false claim that Amelia is a knight or Daniel is a knave.", "Amelia cannot be a knight, because this would contradict the false claim of Ava that Amelia is a knight or Daniel is a knave.", "Assume Amelia is a knave. No contradiction is found in their false claim that Benjamin is not a knight.", "Benjamin cannot be a knight, because this would contradict the claim of their own that Mason is not a knight.", "Benjamin cannot be a knave, because this would contradict the claim of Liam that Mason is a knight if and only if Benjamin is a knight.", "We have exhausted all possibilities for Benjamin, Amelia, and Ava, so let us go back and reconsider Daniel.", "Daniel cannot be a knave, because this would contradict the claim of Mason that If Mason is a knight then Daniel is a knight.", "We have exhausted all possibilities for Daniel, so let us go back and reconsider Mason.", "Mason cannot be a knave, because this would contradict the false claim of their own that If Mason is a knight then Daniel is a knight.", "We have exhausted all possibilities for Mason, so let us go back and reconsider Liam.", "Assume Liam is a knave. No contradiction is found in their false claim that Mason is a knight if and only if Benjamin is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that If Mason is a knight then Daniel is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that Ava is a knave or Benjamin is a knave.", "Assume Ava is a knight. No contradiction is found in their claim that Amelia is a knight or Daniel is a knave.", "Assume Amelia is a knight. No contradiction is found in their claim that Benjamin is not a knight.", "Benjamin cannot be a knight, because this would contradict the false claim of Liam that Mason is a knight if and only if Benjamin is a knight.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Mason is not a knight.", "Assume Luke is a knight. No contradiction is found in their claim that Luke is a knight or Benjamin is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 5), ('telling-truth', 4)), ('or', ('telling-truth', 1), ('lying', 4)), ('or', ('lying', 6), ('lying', 4)), ('not', ('telling-truth', 4)), ('not', ('telling-truth', 5)), ('->', ('telling-truth', 5), ('telling-truth', 2)), ('or', ('telling-truth', 3), ('lying', 2)))", "index": 934}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Logan, Mia, Mason, Avery, Emma, Owen, and Scarlett. In Logan's words: \"Emma is a knight or Avery is a knight\". \"Avery is a knave if and only if Emma is a knight,\" Mia claimed. Mason stated, \"Logan is a knave and Mia is a knave\". In Avery's words: \"Logan is a knave or Mia is a knight\". In a statement by Emma: \"Mia is a knave and Avery is a knight\". \"Logan is a knave and Owen is a knight,\" Owen mentioned. In a statement by Scarlett: \"Mia is a knight if and only if Avery is a knight\". So who is a knight and who is a knave?", "names": ["Logan", "Mia", "Mason", "Avery", "Emma", "Owen", "Scarlett"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true, false, false, true], "solution_text": "Logan is a knight, Mia is a knight, Mason is a knave, Avery is a knight, Emma is a knave, Owen is a knave, and Scarlett is a knight.", "solution_text_format": "(1) Logan is a knight\n(2) Mia is a knight\n(3) Mason is a knave\n(4) Avery is a knight\n(5) Emma is a knave\n(6) Owen is a knave\n(7) Scarlett is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Logan is a knight. No contradiction is found in their claim that Emma is a knight or Avery is a knight.", "Assume Emma is a knight. No contradiction is found in their claim that Mia is a knave and Avery is a knight.", "Mia cannot be a knight, because this would contradict the claim of Emma that Mia is a knave and Avery is a knight.", "Assume Mia is a knave. No contradiction is found in their false claim that Avery is a knave if and only if Emma is a knight.", "Avery cannot be a knight, because this would contradict the claim of their own that Logan is a knave or Mia is a knight.", "Avery cannot be a knave, because this would contradict the false claim of Mia that Avery is a knave if and only if Emma is a knight.", "We have exhausted all possibilities for Avery and Mia, so let us go back and reconsider Emma.", "Assume Emma is a knave. No contradiction is found in their false claim that Mia is a knave and Avery is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that Avery is a knave if and only if Emma is a knight.", "Assume Avery is a knight. No contradiction is found in their claim that Logan is a knave or Mia is a knight.", "Mason cannot be a knight, because this would contradict the claim of their own that Logan is a knave and Mia is a knave.", "Assume Mason is a knave. No contradiction is found in their false claim that Logan is a knave and Mia is a knave.", "Owen cannot be a knight, because this would contradict the claim of their own that Logan is a knave and Owen is a knight.", "Assume Owen is a knave. No contradiction is found in their false claim that Logan is a knave and Owen is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that Mia is a knight if and only if Avery is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 4), ('telling-truth', 3)), ('<=>', ('lying', 3), ('telling-truth', 4)), ('and', ('lying', 0), ('lying', 1)), ('or', ('lying', 0), ('telling-truth', 1)), ('and', ('lying', 1), ('telling-truth', 3)), ('and', ('lying', 0), ('telling-truth', 5)), ('<=>', ('telling-truth', 1), ('telling-truth', 3)))", "index": 935}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Liam, Charlotte, Isabella, Abigail, James, Aurora, and Emma. Liam told you that Isabella is a knave. Charlotte said that If Aurora is a knave then James is a knave. Isabella said, \"If Aurora is a knight then Charlotte is a knight.\" According to Abigail, \"Charlotte is a knight if and only if Liam is a knight\". In a statement by James: \"Isabella is a knight and Liam is a knave\". As Aurora put it, \"Abigail is a knight and Liam is a knight\". In a statement by Emma: \"Charlotte is a knight and Emma is a knight\". So who is a knight and who is a knave?", "names": ["Liam", "Charlotte", "Isabella", "Abigail", "James", "Aurora", "Emma"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true, true, false, false], "solution_text": "Liam is a knave, Charlotte is a knave, Isabella is a knight, Abigail is a knight, James is a knight, Aurora is a knave, and Emma is a knave.", "solution_text_format": "(1) Liam is a knave\n(2) Charlotte is a knave\n(3) Isabella is a knight\n(4) Abigail is a knight\n(5) James is a knight\n(6) Aurora is a knave\n(7) Emma is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Liam is a knight. No contradiction is found in their claim that Isabella is a knave.", "Isabella cannot be a knight, because this would contradict the claim of Liam that Isabella is a knave.", "Assume Isabella is a knave. No contradiction is found in their false claim that If Aurora is a knight then Charlotte is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that Abigail is a knight and Liam is a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that Charlotte is a knight if and only if Liam is a knight.", "Charlotte cannot be a knight, because this would contradict the false claim of Isabella that If Aurora is a knight then Charlotte is a knight.", "Charlotte cannot be a knave, because this would contradict the false claim of their own that If Aurora is a knave then James is a knave.", "We have exhausted all possibilities for Charlotte, so let us go back and reconsider Abigail.", "Abigail cannot be a knave, because this would contradict the claim of Aurora that Abigail is a knight and Liam is a knight.", "We have exhausted all possibilities for Abigail, so let us go back and reconsider Aurora.", "Aurora cannot be a knave, because this would contradict the false claim of Isabella that If Aurora is a knight then Charlotte is a knight.", "We have exhausted all possibilities for Aurora and Isabella, so let us go back and reconsider Liam.", "Assume Liam is a knave. No contradiction is found in their false claim that Isabella is a knave.", "Assume Isabella is a knight. No contradiction is found in their claim that If Aurora is a knight then Charlotte is a knight.", "Aurora cannot be a knight, because this would contradict the claim of their own that Abigail is a knight and Liam is a knight.", "Assume Aurora is a knave. No contradiction is found in their false claim that Abigail is a knight and Liam is a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that Charlotte is a knight if and only if Liam is a knight.", "Charlotte cannot be a knight, because this would contradict the claim of Abigail that Charlotte is a knight if and only if Liam is a knight.", "Assume Charlotte is a knave. No contradiction is found in their false claim that If Aurora is a knave then James is a knave.", "Assume James is a knight. No contradiction is found in their claim that Isabella is a knight and Liam is a knave.", "Emma cannot be a knight, because this would contradict the claim of their own that Charlotte is a knight and Emma is a knight.", "Assume Emma is a knave. No contradiction is found in their false claim that Charlotte is a knight and Emma is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 2), ('->', ('lying', 5), ('lying', 4)), ('->', ('telling-truth', 5), ('telling-truth', 1)), ('<=>', ('telling-truth', 1), ('telling-truth', 0)), ('and', ('telling-truth', 2), ('lying', 0)), ('and', ('telling-truth', 3), ('telling-truth', 0)), ('and', ('telling-truth', 1), ('telling-truth', 6)))", "index": 936}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Emma, Abigail, Michael, Riley, Chloe, Jacob, and Penelope. In Emma's words: \"If Riley is a knight then Penelope is a knight\". \"Penelope is a knave or Chloe is a knave,\" Abigail claimed. In Michael's words: \"Jacob is a knight\". Riley remarked, \"Penelope is a knave and Chloe is a knight\". Chloe said that Abigail is a knave. As Jacob put it, \"If Chloe is a knave then Emma is a knave\". Penelope was heard saying, \"Riley is not a knave\". So who is a knight and who is a knave?", "names": ["Emma", "Abigail", "Michael", "Riley", "Chloe", "Jacob", "Penelope"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false, false, false, false], "solution_text": "Emma is a knight, Abigail is a knight, Michael is a knave, Riley is a knave, Chloe is a knave, Jacob is a knave, and Penelope is a knave.", "solution_text_format": "(1) Emma is a knight\n(2) Abigail is a knight\n(3) Michael is a knave\n(4) Riley is a knave\n(5) Chloe is a knave\n(6) Jacob is a knave\n(7) Penelope is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Emma is a knight. No contradiction is found in their claim that If Riley is a knight then Penelope is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that Penelope is a knave and Chloe is a knight.", "Penelope cannot be a knight, because this would contradict the claim of Riley that Penelope is a knave and Chloe is a knight.", "Penelope cannot be a knave, because this would contradict the claim of Emma that If Riley is a knight then Penelope is a knight.", "We have exhausted all possibilities for Penelope, so let us go back and reconsider Riley.", "Assume Riley is a knave. No contradiction is found in their false claim that Penelope is a knave and Chloe is a knight.", "Penelope cannot be a knight, because this would contradict the claim of their own that Riley is not a knave.", "Assume Penelope is a knave. No contradiction is found in their false claim that Riley is not a knave.", "Chloe cannot be a knight, because this would contradict the false claim of Riley that Penelope is a knave and Chloe is a knight.", "Assume Chloe is a knave. No contradiction is found in their false claim that Abigail is a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that Penelope is a knave or Chloe is a knave.", "Assume Michael is a knight. No contradiction is found in their claim that Jacob is a knight.", "Jacob cannot be a knight, because this would contradict the claim of their own that If Chloe is a knave then Emma is a knave.", "Jacob cannot be a knave, because this would contradict the claim of Michael that Jacob is a knight.", "We have exhausted all possibilities for Jacob, so let us go back and reconsider Michael.", "Assume Michael is a knave. No contradiction is found in their false claim that Jacob is a knight.", "Jacob cannot be a knight, because this would contradict the false claim of Michael that Jacob is a knight.", "Assume Jacob is a knave. No contradiction is found in their false claim that If Chloe is a knave then Emma is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 3), ('telling-truth', 6)), ('or', ('lying', 6), ('lying', 4)), ('telling-truth', 5), ('and', ('lying', 6), ('telling-truth', 4)), ('lying', 1), ('->', ('lying', 4), ('lying', 0)), ('not', ('lying', 3)))", "index": 937}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Jackson, Avery, William, Harper, Chloe, Evelyn, and Michael. \"William is not a knave\" - Jackson. As Avery put it, \"Michael is a knight if and only if Jackson is a knave\". William expressed that Evelyn is a knave if and only if Michael is a knight. In a statement by Harper: \"If Chloe is a knave then Jackson is a knight\". Chloe was heard saying, \"If Harper is a knight then Michael is a knight\". Evelyn was heard saying, \"Chloe is a knave\". In Michael's words: \"Evelyn is a knight or Jackson is a knight\". So who is a knight and who is a knave?", "names": ["Jackson", "Avery", "William", "Harper", "Chloe", "Evelyn", "Michael"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, true, false, true], "solution_text": "Jackson is a knight, Avery is a knave, William is a knight, Harper is a knight, Chloe is a knight, Evelyn is a knave, and Michael is a knight.", "solution_text_format": "(1) Jackson is a knight\n(2) Avery is a knave\n(3) William is a knight\n(4) Harper is a knight\n(5) Chloe is a knight\n(6) Evelyn is a knave\n(7) Michael is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jackson is a knight. No contradiction is found in their claim that William is not a knave.", "Assume William is a knight. No contradiction is found in their claim that Evelyn is a knave if and only if Michael is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that Chloe is a knave.", "Chloe cannot be a knight, because this would contradict the claim of Evelyn that Chloe is a knave.", "Assume Chloe is a knave. No contradiction is found in their false claim that If Harper is a knight then Michael is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that If Chloe is a knave then Jackson is a knight.", "Michael cannot be a knight, because this would contradict the claim of William that Evelyn is a knave if and only if Michael is a knight.", "Michael cannot be a knave, because this would contradict the false claim of their own that Evelyn is a knight or Jackson is a knight.", "We have exhausted all possibilities for Michael, so let us go back and reconsider Harper.", "Harper cannot be a knave, because this would contradict the false claim of their own that If Chloe is a knave then Jackson is a knight.", "We have exhausted all possibilities for Harper and Chloe, so let us go back and reconsider Evelyn.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Chloe is a knave.", "Assume Chloe is a knight. No contradiction is found in their claim that If Harper is a knight then Michael is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that If Chloe is a knave then Jackson is a knight.", "Assume Michael is a knight. No contradiction is found in their claim that Evelyn is a knight or Jackson is a knight.", "Avery cannot be a knight, because this would contradict the claim of their own that Michael is a knight if and only if Jackson is a knave.", "Assume Avery is a knave. No contradiction is found in their false claim that Michael is a knight if and only if Jackson is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 2)), ('<=>', ('telling-truth', 6), ('lying', 0)), ('<=>', ('lying', 5), ('telling-truth', 6)), ('->', ('lying', 4), ('telling-truth', 0)), ('->', ('telling-truth', 3), ('telling-truth', 6)), ('lying', 4), ('or', ('telling-truth', 5), ('telling-truth', 0)))", "index": 938}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Chloe, Amelia, Abigail, Oliver, Lily, Sebastian, and Aurora. \"Oliver is a knight if and only if Abigail is a knave\" - Chloe. Amelia remarked, \"Lily is not a knave\". Abigail said, \"Chloe is a knave and Oliver is a knave.\" Oliver said, \"Lily is a knave and Amelia is a knave.\" Lily noted, \"If Chloe is a knight then Oliver is a knave\". In a statement by Sebastian: \"If Chloe is a knight then Amelia is a knight\". \"Oliver is not a knave,\" Aurora declared. So who is a knight and who is a knave?", "names": ["Chloe", "Amelia", "Abigail", "Oliver", "Lily", "Sebastian", "Aurora"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, false, false, true], "solution_text": "Chloe is a knight, Amelia is a knave, Abigail is a knave, Oliver is a knight, Lily is a knave, Sebastian is a knave, and Aurora is a knight.", "solution_text_format": "(1) Chloe is a knight\n(2) Amelia is a knave\n(3) Abigail is a knave\n(4) Oliver is a knight\n(5) Lily is a knave\n(6) Sebastian is a knave\n(7) Aurora is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Chloe is a knight. No contradiction is found in their claim that Oliver is a knight if and only if Abigail is a knave.", "Assume Oliver is a knight. No contradiction is found in their claim that Lily is a knave and Amelia is a knave.", "Lily cannot be a knight, because this would contradict the claim of Oliver that Lily is a knave and Amelia is a knave.", "Assume Lily is a knave. No contradiction is found in their false claim that If Chloe is a knight then Oliver is a knave.", "Amelia cannot be a knight, because this would contradict the claim of their own that Lily is not a knave.", "Assume Amelia is a knave. No contradiction is found in their false claim that Lily is not a knave.", "Abigail cannot be a knight, because this would contradict the claim of Chloe that Oliver is a knight if and only if Abigail is a knave.", "Assume Abigail is a knave. No contradiction is found in their false claim that Chloe is a knave and Oliver is a knave.", "Sebastian cannot be a knight, because this would contradict the claim of their own that If Chloe is a knight then Amelia is a knight.", "Assume Sebastian is a knave. No contradiction is found in their false claim that If Chloe is a knight then Amelia is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that Oliver is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 3), ('lying', 2)), ('not', ('lying', 4)), ('and', ('lying', 0), ('lying', 3)), ('and', ('lying', 4), ('lying', 1)), ('->', ('telling-truth', 0), ('lying', 3)), ('->', ('telling-truth', 0), ('telling-truth', 1)), ('not', ('lying', 3)))", "index": 939}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Scarlett, Jack, Aria, Jackson, Avery, Elizabeth, and Abigail. Scarlett asserted: \"Jackson is a knave if and only if Elizabeth is a knight\". \"Jackson is a knight or Aria is a knight,\" Jack mentioned. Aria said that Jackson is a knave and Abigail is a knight. In a statement by Jackson: \"Avery is not a knave\". According to Avery, \"Scarlett is a knave and Jack is a knight\". In Elizabeth's words: \"Abigail is a knave if and only if Scarlett is a knight\". As Abigail put it, \"If Jackson is a knight then Jack is a knight\". So who is a knight and who is a knave?", "names": ["Scarlett", "Jack", "Aria", "Jackson", "Avery", "Elizabeth", "Abigail"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true, true, true, true], "solution_text": "Scarlett is a knave, Jack is a knight, Aria is a knave, Jackson is a knight, Avery is a knight, Elizabeth is a knight, and Abigail is a knight.", "solution_text_format": "(1) Scarlett is a knave\n(2) Jack is a knight\n(3) Aria is a knave\n(4) Jackson is a knight\n(5) Avery is a knight\n(6) Elizabeth is a knight\n(7) Abigail is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Scarlett is a knight. No contradiction is found in their claim that Jackson is a knave if and only if Elizabeth is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that Avery is not a knave.", "Avery cannot be a knight, because this would contradict the claim of their own that Scarlett is a knave and Jack is a knight.", "Avery cannot be a knave, because this would contradict the claim of Jackson that Avery is not a knave.", "We have exhausted all possibilities for Avery, so let us go back and reconsider Jackson.", "Assume Jackson is a knave. No contradiction is found in their false claim that Avery is not a knave.", "Avery cannot be a knight, because this would contradict the false claim of Jackson that Avery is not a knave.", "Assume Avery is a knave. No contradiction is found in their false claim that Scarlett is a knave and Jack is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that Jackson is a knight or Aria is a knight.", "Assume Aria is a knight. No contradiction is found in their claim that Jackson is a knave and Abigail is a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that If Jackson is a knight then Jack is a knight.", "Elizabeth cannot be a knight, because this would contradict the claim of their own that Abigail is a knave if and only if Scarlett is a knight.", "Elizabeth cannot be a knave, because this would contradict the claim of Scarlett that Jackson is a knave if and only if Elizabeth is a knight.", "We have exhausted all possibilities for Elizabeth, so let us go back and reconsider Abigail.", "Abigail cannot be a knave, because this would contradict the claim of Aria that Jackson is a knave and Abigail is a knight.", "We have exhausted all possibilities for Abigail, so let us go back and reconsider Aria.", "Aria cannot be a knave, because this would contradict the claim of Jack that Jackson is a knight or Aria is a knight.", "We have exhausted all possibilities for Aria, so let us go back and reconsider Jack.", "Assume Jack is a knave. No contradiction is found in their false claim that Jackson is a knight or Aria is a knight.", "Aria cannot be a knight, because this would contradict the false claim of Jack that Jackson is a knight or Aria is a knight.", "Assume Aria is a knave. No contradiction is found in their false claim that Jackson is a knave and Abigail is a knight.", "Abigail cannot be a knight, because this would contradict the false claim of Aria that Jackson is a knave and Abigail is a knight.", "Abigail cannot be a knave, because this would contradict the false claim of their own that If Jackson is a knight then Jack is a knight.", "We have exhausted all possibilities for Abigail, Aria, Jack, Avery, and Jackson, so let us go back and reconsider Scarlett.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Jackson is a knave if and only if Elizabeth is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that Avery is not a knave.", "Assume Avery is a knight. No contradiction is found in their claim that Scarlett is a knave and Jack is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that Jackson is a knight or Aria is a knight.", "Aria cannot be a knight, because this would contradict the claim of their own that Jackson is a knave and Abigail is a knight.", "Assume Aria is a knave. No contradiction is found in their false claim that Jackson is a knave and Abigail is a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that If Jackson is a knight then Jack is a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Abigail is a knave if and only if Scarlett is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 3), ('telling-truth', 5)), ('or', ('telling-truth', 3), ('telling-truth', 2)), ('and', ('lying', 3), ('telling-truth', 6)), ('not', ('lying', 4)), ('and', ('lying', 0), ('telling-truth', 1)), ('<=>', ('lying', 6), ('telling-truth', 0)), ('->', ('telling-truth', 3), ('telling-truth', 1)))", "index": 940}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Harper, Sophia, Chloe, Zoey, Jacob, William, and Lucas. Harper stated, \"Chloe is a knave if and only if Sophia is a knight\". Sophia told you that Harper is a knight. In a statement by Chloe: \"Zoey is a knight or Sophia is a knave\". Zoey asserted: \"Jacob is a knight and Lucas is a knight\". Jacob noted, \"Zoey is a knight if and only if Chloe is a knight\". William said that Jacob is a knave and Zoey is a knave. Lucas noted, \"Harper is not a knight\". So who is a knight and who is a knave?", "names": ["Harper", "Sophia", "Chloe", "Zoey", "Jacob", "William", "Lucas"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false, true, false, false], "solution_text": "Harper is a knight, Sophia is a knight, Chloe is a knave, Zoey is a knave, Jacob is a knight, William is a knave, and Lucas is a knave.", "solution_text_format": "(1) Harper is a knight\n(2) Sophia is a knight\n(3) Chloe is a knave\n(4) Zoey is a knave\n(5) Jacob is a knight\n(6) William is a knave\n(7) Lucas is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Harper is a knight. No contradiction is found in their claim that Chloe is a knave if and only if Sophia is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that Zoey is a knight or Sophia is a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that Jacob is a knight and Lucas is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that Zoey is a knight if and only if Chloe is a knight.", "Lucas cannot be a knight, because this would contradict the claim of their own that Harper is not a knight.", "Lucas cannot be a knave, because this would contradict the claim of Zoey that Jacob is a knight and Lucas is a knight.", "We have exhausted all possibilities for Lucas, so let us go back and reconsider Jacob.", "Jacob cannot be a knave, because this would contradict the claim of Zoey that Jacob is a knight and Lucas is a knight.", "We have exhausted all possibilities for Jacob, so let us go back and reconsider Zoey.", "Assume Zoey is a knave. No contradiction is found in their false claim that Jacob is a knight and Lucas is a knight.", "Jacob cannot be a knight, because this would contradict the claim of their own that Zoey is a knight if and only if Chloe is a knight.", "Assume Jacob is a knave. No contradiction is found in their false claim that Zoey is a knight if and only if Chloe is a knight.", "Lucas cannot be a knight, because this would contradict the claim of their own that Harper is not a knight.", "Assume Lucas is a knave. No contradiction is found in their false claim that Harper is not a knight.", "Sophia cannot be a knight, because this would contradict the claim of Harper that Chloe is a knave if and only if Sophia is a knight.", "Sophia cannot be a knave, because this would contradict the false claim of their own that Harper is a knight.", "We have exhausted all possibilities for Sophia, Lucas, Jacob, and Zoey, so let us go back and reconsider Chloe.", "Assume Chloe is a knave. No contradiction is found in their false claim that Zoey is a knight or Sophia is a knave.", "Zoey cannot be a knight, because this would contradict the false claim of Chloe that Zoey is a knight or Sophia is a knave.", "Assume Zoey is a knave. No contradiction is found in their false claim that Jacob is a knight and Lucas is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that Zoey is a knight if and only if Chloe is a knight.", "Lucas cannot be a knight, because this would contradict the false claim of Zoey that Jacob is a knight and Lucas is a knight.", "Assume Lucas is a knave. No contradiction is found in their false claim that Harper is not a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that Harper is a knight.", "William cannot be a knight, because this would contradict the claim of their own that Jacob is a knave and Zoey is a knave.", "Assume William is a knave. No contradiction is found in their false claim that Jacob is a knave and Zoey is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 2), ('telling-truth', 1)), ('telling-truth', 0), ('or', ('telling-truth', 3), ('lying', 1)), ('and', ('telling-truth', 4), ('telling-truth', 6)), ('<=>', ('telling-truth', 3), ('telling-truth', 2)), ('and', ('lying', 4), ('lying', 3)), ('not', ('telling-truth', 0)))", "index": 941}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Victoria, Alexander, Ava, Michael, Grace, Jack, and Amelia. Victoria said, \"If Ava is a knight then Alexander is a knave.\" In Alexander's words: \"Jack is a knave if and only if Grace is a knight\". \"Alexander is a knave if and only if Victoria is a knave\" - Ava. \"Grace is a knight or Amelia is a knight,\" Michael claimed. In a statement by Grace: \"If Alexander is a knight then Alexander is a knave\". Jack asserted: \"If Grace is a knave then Amelia is a knave\". \"Alexander is a knight or Jack is a knave,\" Amelia mentioned. So who is a knight and who is a knave?", "names": ["Victoria", "Alexander", "Ava", "Michael", "Grace", "Jack", "Amelia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, true, true, false], "solution_text": "Victoria is a knight, Alexander is a knave, Ava is a knave, Michael is a knight, Grace is a knight, Jack is a knight, and Amelia is a knave.", "solution_text_format": "(1) Victoria is a knight\n(2) Alexander is a knave\n(3) Ava is a knave\n(4) Michael is a knight\n(5) Grace is a knight\n(6) Jack is a knight\n(7) Amelia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Victoria is a knight. No contradiction is found in their claim that If Ava is a knight then Alexander is a knave.", "Assume Ava is a knight. No contradiction is found in their claim that Alexander is a knave if and only if Victoria is a knave.", "Alexander cannot be a knight, because this would contradict the claim of Victoria that If Ava is a knight then Alexander is a knave.", "Alexander cannot be a knave, because this would contradict the claim of Ava that Alexander is a knave if and only if Victoria is a knave.", "We have exhausted all possibilities for Alexander, so let us go back and reconsider Ava.", "Assume Ava is a knave. No contradiction is found in their false claim that Alexander is a knave if and only if Victoria is a knave.", "Alexander cannot be a knight, because this would contradict the false claim of Ava that Alexander is a knave if and only if Victoria is a knave.", "Assume Alexander is a knave. No contradiction is found in their false claim that Jack is a knave if and only if Grace is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that If Grace is a knave then Amelia is a knave.", "Assume Grace is a knight. No contradiction is found in their claim that If Alexander is a knight then Alexander is a knave.", "Amelia cannot be a knight, because this would contradict the claim of their own that Alexander is a knight or Jack is a knave.", "Assume Amelia is a knave. No contradiction is found in their false claim that Alexander is a knight or Jack is a knave.", "Assume Michael is a knight. No contradiction is found in their claim that Grace is a knight or Amelia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 2), ('lying', 1)), ('<=>', ('lying', 5), ('telling-truth', 4)), ('<=>', ('lying', 1), ('lying', 0)), ('or', ('telling-truth', 4), ('telling-truth', 6)), ('->', ('telling-truth', 1), ('lying', 1)), ('->', ('lying', 4), ('lying', 6)), ('or', ('telling-truth', 1), ('lying', 5)))", "index": 942}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Sofia, Isabella, James, Oliver, Liam, Matthew, and Owen. Sofia said that Liam is a knight. As Isabella put it, \"Sofia is a knave and Owen is a knight\". \"Oliver is a knave if and only if Sofia is a knight\" - James. In a statement by Oliver: \"James is a knight\". According to Liam, \"Oliver is a knave or Owen is a knight\". Matthew stated, \"If Liam is a knave then Owen is a knave\". In Owen's words: \"Matthew is a knave or Oliver is a knave\". So who is a knight and who is a knave?", "names": ["Sofia", "Isabella", "James", "Oliver", "Liam", "Matthew", "Owen"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true, false, true, false], "solution_text": "Sofia is a knave, Isabella is a knave, James is a knight, Oliver is a knight, Liam is a knave, Matthew is a knight, and Owen is a knave.", "solution_text_format": "(1) Sofia is a knave\n(2) Isabella is a knave\n(3) James is a knight\n(4) Oliver is a knight\n(5) Liam is a knave\n(6) Matthew is a knight\n(7) Owen is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sofia is a knight. No contradiction is found in their claim that Liam is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that Oliver is a knave or Owen is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that James is a knight.", "James cannot be a knight, because this would contradict the claim of their own that Oliver is a knave if and only if Sofia is a knight.", "James cannot be a knave, because this would contradict the claim of Oliver that James is a knight.", "We have exhausted all possibilities for James, so let us go back and reconsider Oliver.", "Assume Oliver is a knave. No contradiction is found in their false claim that James is a knight.", "James cannot be a knight, because this would contradict the false claim of Oliver that James is a knight.", "James cannot be a knave, because this would contradict the false claim of their own that Oliver is a knave if and only if Sofia is a knight.", "We have exhausted all possibilities for James and Oliver, so let us go back and reconsider Liam.", "Liam cannot be a knave, because this would contradict the claim of Sofia that Liam is a knight.", "We have exhausted all possibilities for Liam, so let us go back and reconsider Sofia.", "Assume Sofia is a knave. No contradiction is found in their false claim that Liam is a knight.", "Liam cannot be a knight, because this would contradict the false claim of Sofia that Liam is a knight.", "Assume Liam is a knave. No contradiction is found in their false claim that Oliver is a knave or Owen is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that James is a knight.", "Assume James is a knight. No contradiction is found in their claim that Oliver is a knave if and only if Sofia is a knight.", "Owen cannot be a knight, because this would contradict the false claim of Liam that Oliver is a knave or Owen is a knight.", "Assume Owen is a knave. No contradiction is found in their false claim that Matthew is a knave or Oliver is a knave.", "Assume Matthew is a knight. No contradiction is found in their claim that If Liam is a knave then Owen is a knave.", "Isabella cannot be a knight, because this would contradict the claim of their own that Sofia is a knave and Owen is a knight.", "Assume Isabella is a knave. No contradiction is found in their false claim that Sofia is a knave and Owen is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 4), ('and', ('lying', 0), ('telling-truth', 6)), ('<=>', ('lying', 3), ('telling-truth', 0)), ('telling-truth', 2), ('or', ('lying', 3), ('telling-truth', 6)), ('->', ('lying', 4), ('lying', 6)), ('or', ('lying', 5), ('lying', 3)))", "index": 943}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Zoey, Ethan, Scarlett, Isabella, Daniel, James, and Sofia. \"Daniel is a knave if and only if Isabella is a knight,\" Zoey claimed. Ethan said, \"Scarlett is not a knight.\" Scarlett told you that Daniel is a knight. Isabella noted, \"Daniel is not a knave\". Daniel said that Zoey is a knave if and only if James is a knight. James commented, \"If Sofia is a knave then Isabella is a knave\". Sofia commented, \"If Sofia is a knight then Isabella is a knight\". So who is a knight and who is a knave?", "names": ["Zoey", "Ethan", "Scarlett", "Isabella", "Daniel", "James", "Sofia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true, true, true, true], "solution_text": "Zoey is a knave, Ethan is a knave, Scarlett is a knight, Isabella is a knight, Daniel is a knight, James is a knight, and Sofia is a knight.", "solution_text_format": "(1) Zoey is a knave\n(2) Ethan is a knave\n(3) Scarlett is a knight\n(4) Isabella is a knight\n(5) Daniel is a knight\n(6) James is a knight\n(7) Sofia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Zoey is a knight. No contradiction is found in their claim that Daniel is a knave if and only if Isabella is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that Zoey is a knave if and only if James is a knight.", "James cannot be a knight, because this would contradict the claim of Daniel that Zoey is a knave if and only if James is a knight.", "Assume James is a knave. No contradiction is found in their false claim that If Sofia is a knave then Isabella is a knave.", "Sofia cannot be a knight, because this would contradict the false claim of James that If Sofia is a knave then Isabella is a knave.", "Sofia cannot be a knave, because this would contradict the false claim of their own that If Sofia is a knight then Isabella is a knight.", "We have exhausted all possibilities for Sofia and James, so let us go back and reconsider Daniel.", "Assume Daniel is a knave. No contradiction is found in their false claim that Zoey is a knave if and only if James is a knight.", "Assume James is a knight. No contradiction is found in their claim that If Sofia is a knave then Isabella is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that If Sofia is a knight then Isabella is a knight.", "Isabella cannot be a knight, because this would contradict the claim of their own that Daniel is not a knave.", "Isabella cannot be a knave, because this would contradict the claim of Zoey that Daniel is a knave if and only if Isabella is a knight.", "We have exhausted all possibilities for Isabella, so let us go back and reconsider Sofia.", "Sofia cannot be a knave, because this would contradict the false claim of their own that If Sofia is a knight then Isabella is a knight.", "We have exhausted all possibilities for Sofia, so let us go back and reconsider James.", "James cannot be a knave, because this would contradict the false claim of Daniel that Zoey is a knave if and only if James is a knight.", "We have exhausted all possibilities for James and Daniel, so let us go back and reconsider Zoey.", "Assume Zoey is a knave. No contradiction is found in their false claim that Daniel is a knave if and only if Isabella is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that Zoey is a knave if and only if James is a knight.", "Assume James is a knight. No contradiction is found in their claim that If Sofia is a knave then Isabella is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that If Sofia is a knight then Isabella is a knight.", "Assume Isabella is a knight. No contradiction is found in their claim that Daniel is not a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that Scarlett is not a knight.", "Scarlett cannot be a knight, because this would contradict the claim of Ethan that Scarlett is not a knight.", "Scarlett cannot be a knave, because this would contradict the false claim of their own that Daniel is a knight.", "We have exhausted all possibilities for Scarlett, so let us go back and reconsider Ethan.", "Assume Ethan is a knave. No contradiction is found in their false claim that Scarlett is not a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that Daniel is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 4), ('telling-truth', 3)), ('not', ('telling-truth', 2)), ('telling-truth', 4), ('not', ('lying', 4)), ('<=>', ('lying', 0), ('telling-truth', 5)), ('->', ('lying', 6), ('lying', 3)), ('->', ('telling-truth', 6), ('telling-truth', 3)))", "index": 944}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Luke, Olivia, Ava, Ella, David, Oliver, and Aiden. \"David is a knave and David is a knight,\" Luke mentioned. Olivia was heard saying, \"David is a knight\". Ava expressed that Oliver is a knight. Ella asserted: \"Luke is a knight or David is a knight\". David expressed that Ava is a knight and Olivia is a knave. In a statement by Oliver: \"David is a knave and Aiden is a knight\". According to Aiden, \"Olivia is a knight and Ava is a knight\". So who is a knight and who is a knave?", "names": ["Luke", "Olivia", "Ava", "Ella", "David", "Oliver", "Aiden"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, false, false, false, false], "solution_text": "Luke is a knave, Olivia is a knave, Ava is a knave, Ella is a knave, David is a knave, Oliver is a knave, and Aiden is a knave.", "solution_text_format": "(1) Luke is a knave\n(2) Olivia is a knave\n(3) Ava is a knave\n(4) Ella is a knave\n(5) David is a knave\n(6) Oliver is a knave\n(7) Aiden is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Luke cannot be a knight, because this would contradict the claim of their own that David is a knave and David is a knight.", "Assume Luke is a knave. No contradiction is found in their false claim that David is a knave and David is a knight.", "Assume David is a knight. No contradiction is found in their claim that Ava is a knight and Olivia is a knave.", "Assume Ava is a knight. No contradiction is found in their claim that Oliver is a knight.", "Oliver cannot be a knight, because this would contradict the claim of their own that David is a knave and Aiden is a knight.", "Oliver cannot be a knave, because this would contradict the claim of Ava that Oliver is a knight.", "We have exhausted all possibilities for Oliver, so let us go back and reconsider Ava.", "Ava cannot be a knave, because this would contradict the claim of David that Ava is a knight and Olivia is a knave.", "We have exhausted all possibilities for Ava, so let us go back and reconsider David.", "Assume David is a knave. No contradiction is found in their false claim that Ava is a knight and Olivia is a knave.", "Assume Ava is a knight. No contradiction is found in their claim that Oliver is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that David is a knave and Aiden is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that Olivia is a knight and Ava is a knight.", "Olivia cannot be a knight, because this would contradict the claim of their own that David is a knight.", "Olivia cannot be a knave, because this would contradict the false claim of David that Ava is a knight and Olivia is a knave.", "We have exhausted all possibilities for Olivia, so let us go back and reconsider Aiden.", "Aiden cannot be a knave, because this would contradict the claim of Oliver that David is a knave and Aiden is a knight.", "We have exhausted all possibilities for Aiden, so let us go back and reconsider Oliver.", "Oliver cannot be a knave, because this would contradict the claim of Ava that Oliver is a knight.", "We have exhausted all possibilities for Oliver, so let us go back and reconsider Ava.", "Assume Ava is a knave. No contradiction is found in their false claim that Oliver is a knight.", "Oliver cannot be a knight, because this would contradict the false claim of Ava that Oliver is a knight.", "Assume Oliver is a knave. No contradiction is found in their false claim that David is a knave and Aiden is a knight.", "Aiden cannot be a knight, because this would contradict the false claim of Oliver that David is a knave and Aiden is a knight.", "Assume Aiden is a knave. No contradiction is found in their false claim that Olivia is a knight and Ava is a knight.", "Olivia cannot be a knight, because this would contradict the claim of their own that David is a knight.", "Assume Olivia is a knave. No contradiction is found in their false claim that David is a knight.", "Ella cannot be a knight, because this would contradict the claim of their own that Luke is a knight or David is a knight.", "Assume Ella is a knave. No contradiction is found in their false claim that Luke is a knight or David is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 4), ('telling-truth', 4)), ('telling-truth', 4), ('telling-truth', 5), ('or', ('telling-truth', 0), ('telling-truth', 4)), ('and', ('telling-truth', 2), ('lying', 1)), ('and', ('lying', 4), ('telling-truth', 6)), ('and', ('telling-truth', 1), ('telling-truth', 2)))", "index": 945}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Oliver, Mia, Joseph, Emily, James, Victoria, and Avery. Oliver was heard saying, \"Emily is not a knight\". Mia said that Victoria is a knave and Oliver is a knight. \"Avery is a knave,\" Joseph claimed. Emily asserted: \"Joseph is a knave or Avery is a knave\". James stated, \"Mia is not a knave\". \"James is a knave\" - Victoria. Avery commented, \"Victoria is a knight or Joseph is a knight\". So who is a knight and who is a knave?", "names": ["Oliver", "Mia", "Joseph", "Emily", "James", "Victoria", "Avery"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true, false, true, true], "solution_text": "Oliver is a knave, Mia is a knave, Joseph is a knave, Emily is a knight, James is a knave, Victoria is a knight, and Avery is a knight.", "solution_text_format": "(1) Oliver is a knave\n(2) Mia is a knave\n(3) Joseph is a knave\n(4) Emily is a knight\n(5) James is a knave\n(6) Victoria is a knight\n(7) Avery is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Oliver is a knight. No contradiction is found in their claim that Emily is not a knight.", "Emily cannot be a knight, because this would contradict the claim of Oliver that Emily is not a knight.", "Assume Emily is a knave. No contradiction is found in their false claim that Joseph is a knave or Avery is a knave.", "Assume Joseph is a knight. No contradiction is found in their claim that Avery is a knave.", "Avery cannot be a knight, because this would contradict the claim of Joseph that Avery is a knave.", "Avery cannot be a knave, because this would contradict the false claim of Emily that Joseph is a knave or Avery is a knave.", "We have exhausted all possibilities for Avery, so let us go back and reconsider Joseph.", "Joseph cannot be a knave, because this would contradict the false claim of Emily that Joseph is a knave or Avery is a knave.", "We have exhausted all possibilities for Joseph and Emily, so let us go back and reconsider Oliver.", "Assume Oliver is a knave. No contradiction is found in their false claim that Emily is not a knight.", "Assume Emily is a knight. No contradiction is found in their claim that Joseph is a knave or Avery is a knave.", "Assume Joseph is a knight. No contradiction is found in their claim that Avery is a knave.", "Avery cannot be a knight, because this would contradict the claim of Joseph that Avery is a knave.", "Avery cannot be a knave, because this would contradict the false claim of their own that Victoria is a knight or Joseph is a knight.", "We have exhausted all possibilities for Avery, so let us go back and reconsider Joseph.", "Assume Joseph is a knave. No contradiction is found in their false claim that Avery is a knave.", "Assume Avery is a knight. No contradiction is found in their claim that Victoria is a knight or Joseph is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that James is a knave.", "James cannot be a knight, because this would contradict the claim of Victoria that James is a knave.", "Assume James is a knave. No contradiction is found in their false claim that Mia is not a knave.", "Mia cannot be a knight, because this would contradict the claim of their own that Victoria is a knave and Oliver is a knight.", "Assume Mia is a knave. No contradiction is found in their false claim that Victoria is a knave and Oliver is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 3)), ('and', ('lying', 5), ('telling-truth', 0)), ('lying', 6), ('or', ('lying', 2), ('lying', 6)), ('not', ('lying', 1)), ('lying', 4), ('or', ('telling-truth', 5), ('telling-truth', 2)))", "index": 946}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Isabella, Victoria, William, Sophia, Henry, Grace, and Avery. Isabella told you that Sophia is a knave and Henry is a knave. \"Avery is a knave or Victoria is a knight\" - Victoria. William remarked, \"Isabella is a knight if and only if Avery is a knave\". In a statement by Sophia: \"Avery is a knave if and only if Grace is a knave\". According to Henry, \"If Avery is a knight then Grace is a knight\". Grace asserted: \"Sophia is a knight or William is a knight\". Avery told you that Henry is a knave and Victoria is a knight. So who is a knight and who is a knave?", "names": ["Isabella", "Victoria", "William", "Sophia", "Henry", "Grace", "Avery"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false, false, false, true], "solution_text": "Isabella is a knight, Victoria is a knight, William is a knave, Sophia is a knave, Henry is a knave, Grace is a knave, and Avery is a knight.", "solution_text_format": "(1) Isabella is a knight\n(2) Victoria is a knight\n(3) William is a knave\n(4) Sophia is a knave\n(5) Henry is a knave\n(6) Grace is a knave\n(7) Avery is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Isabella is a knight. No contradiction is found in their claim that Sophia is a knave and Henry is a knave.", "Sophia cannot be a knight, because this would contradict the claim of Isabella that Sophia is a knave and Henry is a knave.", "Assume Sophia is a knave. No contradiction is found in their false claim that Avery is a knave if and only if Grace is a knave.", "Assume Avery is a knight. No contradiction is found in their claim that Henry is a knave and Victoria is a knight.", "Henry cannot be a knight, because this would contradict the claim of Isabella that Sophia is a knave and Henry is a knave.", "Assume Henry is a knave. No contradiction is found in their false claim that If Avery is a knight then Grace is a knight.", "Grace cannot be a knight, because this would contradict the false claim of Sophia that Avery is a knave if and only if Grace is a knave.", "Assume Grace is a knave. No contradiction is found in their false claim that Sophia is a knight or William is a knight.", "William cannot be a knight, because this would contradict the claim of their own that Isabella is a knight if and only if Avery is a knave.", "Assume William is a knave. No contradiction is found in their false claim that Isabella is a knight if and only if Avery is a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that Avery is a knave or Victoria is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 3), ('lying', 4)), ('or', ('lying', 6), ('telling-truth', 1)), ('<=>', ('telling-truth', 0), ('lying', 6)), ('<=>', ('lying', 6), ('lying', 5)), ('->', ('telling-truth', 6), ('telling-truth', 5)), ('or', ('telling-truth', 3), ('telling-truth', 2)), ('and', ('lying', 4), ('telling-truth', 1)))", "index": 947}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Jackson, Oliver, Chloe, Grace, Jack, James, and Emily. Jackson commented, \"Oliver is a knight\". Oliver remarked, \"Emily is a knave and Emily is a knight\". Chloe commented, \"Oliver is a knight\". \"Oliver is a knave if and only if Jack is a knave,\" Grace mentioned. Jack was heard saying, \"Chloe is a knight if and only if Emily is a knave\". As James put it, \"If Grace is a knave then Chloe is a knave\". Emily was heard saying, \"Oliver is a knave or Grace is a knave\". So who is a knight and who is a knave?", "names": ["Jackson", "Oliver", "Chloe", "Grace", "Jack", "James", "Emily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, false, true, true, true], "solution_text": "Jackson is a knave, Oliver is a knave, Chloe is a knave, Grace is a knave, Jack is a knight, James is a knight, and Emily is a knight.", "solution_text_format": "(1) Jackson is a knave\n(2) Oliver is a knave\n(3) Chloe is a knave\n(4) Grace is a knave\n(5) Jack is a knight\n(6) James is a knight\n(7) Emily is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jackson is a knight. No contradiction is found in their claim that Oliver is a knight.", "Oliver cannot be a knight, because this would contradict the claim of their own that Emily is a knave and Emily is a knight.", "Oliver cannot be a knave, because this would contradict the claim of Jackson that Oliver is a knight.", "We have exhausted all possibilities for Oliver, so let us go back and reconsider Jackson.", "Assume Jackson is a knave. No contradiction is found in their false claim that Oliver is a knight.", "Oliver cannot be a knight, because this would contradict the false claim of Jackson that Oliver is a knight.", "Assume Oliver is a knave. No contradiction is found in their false claim that Emily is a knave and Emily is a knight.", "Assume Emily is a knight. No contradiction is found in their claim that Oliver is a knave or Grace is a knave.", "Assume Grace is a knight. No contradiction is found in their claim that Oliver is a knave if and only if Jack is a knave.", "Jack cannot be a knight, because this would contradict the claim of Grace that Oliver is a knave if and only if Jack is a knave.", "Assume Jack is a knave. No contradiction is found in their false claim that Chloe is a knight if and only if Emily is a knave.", "Chloe cannot be a knight, because this would contradict the claim of their own that Oliver is a knight.", "Chloe cannot be a knave, because this would contradict the false claim of Jack that Chloe is a knight if and only if Emily is a knave.", "We have exhausted all possibilities for Chloe and Jack, so let us go back and reconsider Grace.", "Assume Grace is a knave. No contradiction is found in their false claim that Oliver is a knave if and only if Jack is a knave.", "Assume Jack is a knight. No contradiction is found in their claim that Chloe is a knight if and only if Emily is a knave.", "Chloe cannot be a knight, because this would contradict the claim of their own that Oliver is a knight.", "Assume Chloe is a knave. No contradiction is found in their false claim that Oliver is a knight.", "Assume James is a knight. No contradiction is found in their claim that If Grace is a knave then Chloe is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 1), ('and', ('lying', 6), ('telling-truth', 6)), ('telling-truth', 1), ('<=>', ('lying', 1), ('lying', 4)), ('<=>', ('telling-truth', 2), ('lying', 6)), ('->', ('lying', 3), ('lying', 2)), ('or', ('lying', 1), ('lying', 3)))", "index": 948}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Sophia, Sofia, Mia, Abigail, Mason, William, and Riley. Sophia expressed that Sophia is a knight or Mia is a knave. As Sofia put it, \"Mia is a knave if and only if Sophia is a knight\". Mia said, \"William is a knight and Riley is a knight.\" Abigail noted, \"Mia is not a knight\". Mason commented, \"Mia is a knave if and only if Sophia is a knave\". William said, \"Sophia is a knight and Sofia is a knave.\" As Riley put it, \"William is a knight if and only if Mason is a knave\". So who is a knight and who is a knave?", "names": ["Sophia", "Sofia", "Mia", "Abigail", "Mason", "William", "Riley"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true, false, false, false], "solution_text": "Sophia is a knight, Sofia is a knight, Mia is a knave, Abigail is a knight, Mason is a knave, William is a knave, and Riley is a knave.", "solution_text_format": "(1) Sophia is a knight\n(2) Sofia is a knight\n(3) Mia is a knave\n(4) Abigail is a knight\n(5) Mason is a knave\n(6) William is a knave\n(7) Riley is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sophia is a knight. No contradiction is found in their claim that Sophia is a knight or Mia is a knave.", "Assume Mia is a knight. No contradiction is found in their claim that William is a knight and Riley is a knight.", "Assume William is a knight. No contradiction is found in their claim that Sophia is a knight and Sofia is a knave.", "Sofia cannot be a knight, because this would contradict the claim of their own that Mia is a knave if and only if Sophia is a knight.", "Assume Sofia is a knave. No contradiction is found in their false claim that Mia is a knave if and only if Sophia is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that William is a knight if and only if Mason is a knave.", "Mason cannot be a knight, because this would contradict the claim of Riley that William is a knight if and only if Mason is a knave.", "Mason cannot be a knave, because this would contradict the false claim of their own that Mia is a knave if and only if Sophia is a knave.", "We have exhausted all possibilities for Mason, so let us go back and reconsider Riley.", "Riley cannot be a knave, because this would contradict the claim of Mia that William is a knight and Riley is a knight.", "We have exhausted all possibilities for Riley and Sofia, so let us go back and reconsider William.", "William cannot be a knave, because this would contradict the claim of Mia that William is a knight and Riley is a knight.", "We have exhausted all possibilities for William, so let us go back and reconsider Mia.", "Assume Mia is a knave. No contradiction is found in their false claim that William is a knight and Riley is a knight.", "Assume William is a knight. No contradiction is found in their claim that Sophia is a knight and Sofia is a knave.", "Sofia cannot be a knight, because this would contradict the claim of William that Sophia is a knight and Sofia is a knave.", "Sofia cannot be a knave, because this would contradict the false claim of their own that Mia is a knave if and only if Sophia is a knight.", "We have exhausted all possibilities for Sofia, so let us go back and reconsider William.", "Assume William is a knave. No contradiction is found in their false claim that Sophia is a knight and Sofia is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that Mia is a knave if and only if Sophia is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that William is a knight if and only if Mason is a knave.", "Mason cannot be a knight, because this would contradict the claim of their own that Mia is a knave if and only if Sophia is a knave.", "Mason cannot be a knave, because this would contradict the claim of Riley that William is a knight if and only if Mason is a knave.", "We have exhausted all possibilities for Mason, so let us go back and reconsider Riley.", "Assume Riley is a knave. No contradiction is found in their false claim that William is a knight if and only if Mason is a knave.", "Mason cannot be a knight, because this would contradict the claim of their own that Mia is a knave if and only if Sophia is a knave.", "Assume Mason is a knave. No contradiction is found in their false claim that Mia is a knave if and only if Sophia is a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that Mia is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 0), ('lying', 2)), ('<=>', ('lying', 2), ('telling-truth', 0)), ('and', ('telling-truth', 5), ('telling-truth', 6)), ('not', ('telling-truth', 2)), ('<=>', ('lying', 2), ('lying', 0)), ('and', ('telling-truth', 0), ('lying', 1)), ('<=>', ('telling-truth', 5), ('lying', 4)))", "index": 949}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Aria, Riley, Lily, Owen, James, Lucas, and Mia. Aria noted, \"Riley is not a knight\". Riley said that Aria is a knave or Owen is a knave. Lily was heard saying, \"Owen is a knave if and only if Riley is a knave\". Owen noted, \"Lucas is a knave\". \"Riley is a knight or Lucas is a knight,\" James declared. According to Lucas, \"Aria is not a knave\". According to Mia, \"James is a knave if and only if Lucas is a knave\". So who is a knight and who is a knave?", "names": ["Aria", "Riley", "Lily", "Owen", "James", "Lucas", "Mia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, true, false, false], "solution_text": "Aria is a knave, Riley is a knight, Lily is a knight, Owen is a knight, James is a knight, Lucas is a knave, and Mia is a knave.", "solution_text_format": "(1) Aria is a knave\n(2) Riley is a knight\n(3) Lily is a knight\n(4) Owen is a knight\n(5) James is a knight\n(6) Lucas is a knave\n(7) Mia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aria is a knight. No contradiction is found in their claim that Riley is not a knight.", "Riley cannot be a knight, because this would contradict the claim of Aria that Riley is not a knight.", "Assume Riley is a knave. No contradiction is found in their false claim that Aria is a knave or Owen is a knave.", "Assume Owen is a knight. No contradiction is found in their claim that Lucas is a knave.", "Lucas cannot be a knight, because this would contradict the claim of Owen that Lucas is a knave.", "Lucas cannot be a knave, because this would contradict the false claim of their own that Aria is not a knave.", "We have exhausted all possibilities for Lucas, so let us go back and reconsider Owen.", "Owen cannot be a knave, because this would contradict the false claim of Riley that Aria is a knave or Owen is a knave.", "We have exhausted all possibilities for Owen and Riley, so let us go back and reconsider Aria.", "Assume Aria is a knave. No contradiction is found in their false claim that Riley is not a knight.", "Assume Riley is a knight. No contradiction is found in their claim that Aria is a knave or Owen is a knave.", "Assume Owen is a knight. No contradiction is found in their claim that Lucas is a knave.", "Lucas cannot be a knight, because this would contradict the claim of Owen that Lucas is a knave.", "Assume Lucas is a knave. No contradiction is found in their false claim that Aria is not a knave.", "Assume Lily is a knight. No contradiction is found in their claim that Owen is a knave if and only if Riley is a knave.", "Assume James is a knight. No contradiction is found in their claim that Riley is a knight or Lucas is a knight.", "Mia cannot be a knight, because this would contradict the claim of their own that James is a knave if and only if Lucas is a knave.", "Assume Mia is a knave. No contradiction is found in their false claim that James is a knave if and only if Lucas is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('or', ('lying', 0), ('lying', 3)), ('<=>', ('lying', 3), ('lying', 1)), ('lying', 5), ('or', ('telling-truth', 1), ('telling-truth', 5)), ('not', ('lying', 0)), ('<=>', ('lying', 4), ('lying', 5)))", "index": 950}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Sebastian, Chloe, Owen, Riley, Olivia, Lily, and Jackson. Sebastian asserted: \"Olivia is not a knave\". As Chloe put it, \"Sebastian is a knight if and only if Riley is a knave\". Owen expressed that Olivia is a knight and Owen is a knight. In Riley's words: \"If Jackson is a knight then Jackson is a knave\". \"Lily is a knight,\" Olivia claimed. In a statement by Lily: \"Owen is a knight if and only if Owen is a knave\". Jackson expressed that Riley is a knight and Jackson is a knight. So who is a knight and who is a knave?", "names": ["Sebastian", "Chloe", "Owen", "Riley", "Olivia", "Lily", "Jackson"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true, false, false, false], "solution_text": "Sebastian is a knave, Chloe is a knight, Owen is a knave, Riley is a knight, Olivia is a knave, Lily is a knave, and Jackson is a knave.", "solution_text_format": "(1) Sebastian is a knave\n(2) Chloe is a knight\n(3) Owen is a knave\n(4) Riley is a knight\n(5) Olivia is a knave\n(6) Lily is a knave\n(7) Jackson is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sebastian is a knight. No contradiction is found in their claim that Olivia is not a knave.", "Assume Olivia is a knight. No contradiction is found in their claim that Lily is a knight.", "Lily cannot be a knight, because this would contradict the claim of their own that Owen is a knight if and only if Owen is a knave.", "Lily cannot be a knave, because this would contradict the claim of Olivia that Lily is a knight.", "We have exhausted all possibilities for Lily, so let us go back and reconsider Olivia.", "Olivia cannot be a knave, because this would contradict the claim of Sebastian that Olivia is not a knave.", "We have exhausted all possibilities for Olivia, so let us go back and reconsider Sebastian.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Olivia is not a knave.", "Olivia cannot be a knight, because this would contradict the false claim of Sebastian that Olivia is not a knave.", "Assume Olivia is a knave. No contradiction is found in their false claim that Lily is a knight.", "Lily cannot be a knight, because this would contradict the false claim of Olivia that Lily is a knight.", "Assume Lily is a knave. No contradiction is found in their false claim that Owen is a knight if and only if Owen is a knave.", "Owen cannot be a knight, because this would contradict the claim of their own that Olivia is a knight and Owen is a knight.", "Assume Owen is a knave. No contradiction is found in their false claim that Olivia is a knight and Owen is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that Sebastian is a knight if and only if Riley is a knave.", "Assume Riley is a knight. No contradiction is found in their claim that If Jackson is a knight then Jackson is a knave.", "Jackson cannot be a knight, because this would contradict the claim of Riley that If Jackson is a knight then Jackson is a knave.", "Assume Jackson is a knave. No contradiction is found in their false claim that Riley is a knight and Jackson is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 4)), ('<=>', ('telling-truth', 0), ('lying', 3)), ('and', ('telling-truth', 4), ('telling-truth', 2)), ('->', ('telling-truth', 6), ('lying', 6)), ('telling-truth', 5), ('<=>', ('telling-truth', 2), ('lying', 2)), ('and', ('telling-truth', 3), ('telling-truth', 6)))", "index": 951}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Sofia, Avery, Ella, Lucas, Evelyn, Logan, and Harper. Sofia told you that Lucas is a knight if and only if Evelyn is a knight. In a statement by Avery: \"Logan is a knight if and only if Lucas is a knave\". \"Logan is a knight if and only if Lucas is a knight,\" Ella claimed. Lucas asserted: \"Avery is a knight if and only if Lucas is a knight\". In Evelyn's words: \"Logan is a knave\". \"Avery is not a knave\" - Logan. In a statement by Harper: \"Avery is a knave and Sofia is a knave\". So who is a knight and who is a knave?", "names": ["Sofia", "Avery", "Ella", "Lucas", "Evelyn", "Logan", "Harper"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false, false, true, false], "solution_text": "Sofia is a knight, Avery is a knight, Ella is a knave, Lucas is a knave, Evelyn is a knave, Logan is a knight, and Harper is a knave.", "solution_text_format": "(1) Sofia is a knight\n(2) Avery is a knight\n(3) Ella is a knave\n(4) Lucas is a knave\n(5) Evelyn is a knave\n(6) Logan is a knight\n(7) Harper is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sofia is a knight. No contradiction is found in their claim that Lucas is a knight if and only if Evelyn is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that Avery is a knight if and only if Lucas is a knight.", "Assume Avery is a knight. No contradiction is found in their claim that Logan is a knight if and only if Lucas is a knave.", "Logan cannot be a knight, because this would contradict the claim of Avery that Logan is a knight if and only if Lucas is a knave.", "Logan cannot be a knave, because this would contradict the false claim of their own that Avery is not a knave.", "We have exhausted all possibilities for Logan, so let us go back and reconsider Avery.", "Avery cannot be a knave, because this would contradict the claim of Lucas that Avery is a knight if and only if Lucas is a knight.", "We have exhausted all possibilities for Avery, so let us go back and reconsider Lucas.", "Assume Lucas is a knave. No contradiction is found in their false claim that Avery is a knight if and only if Lucas is a knight.", "Assume Avery is a knight. No contradiction is found in their claim that Logan is a knight if and only if Lucas is a knave.", "Assume Logan is a knight. No contradiction is found in their claim that Avery is not a knave.", "Evelyn cannot be a knight, because this would contradict the claim of Sofia that Lucas is a knight if and only if Evelyn is a knight.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Logan is a knave.", "Ella cannot be a knight, because this would contradict the claim of their own that Logan is a knight if and only if Lucas is a knight.", "Assume Ella is a knave. No contradiction is found in their false claim that Logan is a knight if and only if Lucas is a knight.", "Harper cannot be a knight, because this would contradict the claim of their own that Avery is a knave and Sofia is a knave.", "Assume Harper is a knave. No contradiction is found in their false claim that Avery is a knave and Sofia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 3), ('telling-truth', 4)), ('<=>', ('telling-truth', 5), ('lying', 3)), ('<=>', ('telling-truth', 5), ('telling-truth', 3)), ('<=>', ('telling-truth', 1), ('telling-truth', 3)), ('lying', 5), ('not', ('lying', 1)), ('and', ('lying', 1), ('lying', 0)))", "index": 952}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: David, Harper, Sophia, Zoey, William, Jacob, and Riley. David said that William is a knight if and only if Riley is a knave. Harper expressed that Jacob is a knave and Zoey is a knave. Sophia said, \"If David is a knave then Riley is a knave.\" Zoey remarked, \"William is a knight and Riley is a knave\". According to William, \"David is a knight or Riley is a knight\". Jacob said that Harper is a knave if and only if Jacob is a knight. \"Zoey is not a knave\" - Riley. So who is a knight and who is a knave?", "names": ["David", "Harper", "Sophia", "Zoey", "William", "Jacob", "Riley"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false, false, true, false], "solution_text": "David is a knave, Harper is a knave, Sophia is a knight, Zoey is a knave, William is a knave, Jacob is a knight, and Riley is a knave.", "solution_text_format": "(1) David is a knave\n(2) Harper is a knave\n(3) Sophia is a knight\n(4) Zoey is a knave\n(5) William is a knave\n(6) Jacob is a knight\n(7) Riley is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume David is a knight. No contradiction is found in their claim that William is a knight if and only if Riley is a knave.", "Assume William is a knight. No contradiction is found in their claim that David is a knight or Riley is a knight.", "Riley cannot be a knight, because this would contradict the claim of David that William is a knight if and only if Riley is a knave.", "Assume Riley is a knave. No contradiction is found in their false claim that Zoey is not a knave.", "Zoey cannot be a knight, because this would contradict the false claim of Riley that Zoey is not a knave.", "Zoey cannot be a knave, because this would contradict the false claim of their own that William is a knight and Riley is a knave.", "We have exhausted all possibilities for Zoey and Riley, so let us go back and reconsider William.", "William cannot be a knave, because this would contradict the false claim of their own that David is a knight or Riley is a knight.", "We have exhausted all possibilities for William, so let us go back and reconsider David.", "Assume David is a knave. No contradiction is found in their false claim that William is a knight if and only if Riley is a knave.", "Assume William is a knight. No contradiction is found in their claim that David is a knight or Riley is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that Zoey is not a knave.", "Zoey cannot be a knight, because this would contradict the claim of their own that William is a knight and Riley is a knave.", "Zoey cannot be a knave, because this would contradict the claim of Riley that Zoey is not a knave.", "We have exhausted all possibilities for Zoey, so let us go back and reconsider Riley.", "Riley cannot be a knave, because this would contradict the false claim of David that William is a knight if and only if Riley is a knave.", "We have exhausted all possibilities for Riley, so let us go back and reconsider William.", "Assume William is a knave. No contradiction is found in their false claim that David is a knight or Riley is a knight.", "Riley cannot be a knight, because this would contradict the false claim of David that William is a knight if and only if Riley is a knave.", "Assume Riley is a knave. No contradiction is found in their false claim that Zoey is not a knave.", "Zoey cannot be a knight, because this would contradict the claim of their own that William is a knight and Riley is a knave.", "Assume Zoey is a knave. No contradiction is found in their false claim that William is a knight and Riley is a knave.", "Assume Harper is a knight. No contradiction is found in their claim that Jacob is a knave and Zoey is a knave.", "Jacob cannot be a knight, because this would contradict the claim of Harper that Jacob is a knave and Zoey is a knave.", "Jacob cannot be a knave, because this would contradict the false claim of their own that Harper is a knave if and only if Jacob is a knight.", "We have exhausted all possibilities for Jacob, so let us go back and reconsider Harper.", "Assume Harper is a knave. No contradiction is found in their false claim that Jacob is a knave and Zoey is a knave.", "Assume Jacob is a knight. No contradiction is found in their claim that Harper is a knave if and only if Jacob is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that If David is a knave then Riley is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 4), ('lying', 6)), ('and', ('lying', 5), ('lying', 3)), ('->', ('lying', 0), ('lying', 6)), ('and', ('telling-truth', 4), ('lying', 6)), ('or', ('telling-truth', 0), ('telling-truth', 6)), ('<=>', ('lying', 1), ('telling-truth', 5)), ('not', ('lying', 3)))", "index": 953}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Harper, Evelyn, Charlotte, Sophia, Avery, Grace, and Luke. Harper stated, \"If Harper is a knight then Sophia is a knight\". \"Harper is a knight,\" Evelyn claimed. \"If Avery is a knight then Sophia is a knave,\" Charlotte declared. Sophia was heard saying, \"Avery is a knave\". \"Harper is a knave or Luke is a knave,\" Avery mentioned. Grace said that Evelyn is a knight and Charlotte is a knight. \"Evelyn is a knight,\" Luke declared. So who is a knight and who is a knave?", "names": ["Harper", "Evelyn", "Charlotte", "Sophia", "Avery", "Grace", "Luke"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, false, true, true], "solution_text": "Harper is a knight, Evelyn is a knight, Charlotte is a knight, Sophia is a knight, Avery is a knave, Grace is a knight, and Luke is a knight.", "solution_text_format": "(1) Harper is a knight\n(2) Evelyn is a knight\n(3) Charlotte is a knight\n(4) Sophia is a knight\n(5) Avery is a knave\n(6) Grace is a knight\n(7) Luke is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Harper is a knight. No contradiction is found in their claim that If Harper is a knight then Sophia is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that Avery is a knave.", "Avery cannot be a knight, because this would contradict the claim of Sophia that Avery is a knave.", "Assume Avery is a knave. No contradiction is found in their false claim that Harper is a knave or Luke is a knave.", "Assume Luke is a knight. No contradiction is found in their claim that Evelyn is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that Harper is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that If Avery is a knight then Sophia is a knave.", "Assume Grace is a knight. No contradiction is found in their claim that Evelyn is a knight and Charlotte is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 0), ('telling-truth', 3)), ('telling-truth', 0), ('->', ('telling-truth', 4), ('lying', 3)), ('lying', 4), ('or', ('lying', 0), ('lying', 6)), ('and', ('telling-truth', 1), ('telling-truth', 2)), ('telling-truth', 1))", "index": 954}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: James, Lily, Evelyn, Liam, Henry, Jacob, and Ethan. \"Liam is a knight and Henry is a knave\" - James. Lily stated, \"Evelyn is a knave and Evelyn is a knight\". In a statement by Evelyn: \"Liam is a knight if and only if Lily is a knave\". Liam told you that James is a knight. \"Henry is a knight or Lily is a knave,\" Henry declared. Jacob noted, \"James is a knave\". Ethan stated, \"James is not a knave\". So who is a knight and who is a knave?", "names": ["James", "Lily", "Evelyn", "Liam", "Henry", "Jacob", "Ethan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, false, true, true, false], "solution_text": "James is a knave, Lily is a knave, Evelyn is a knave, Liam is a knave, Henry is a knight, Jacob is a knight, and Ethan is a knave.", "solution_text_format": "(1) James is a knave\n(2) Lily is a knave\n(3) Evelyn is a knave\n(4) Liam is a knave\n(5) Henry is a knight\n(6) Jacob is a knight\n(7) Ethan is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume James is a knight. No contradiction is found in their claim that Liam is a knight and Henry is a knave.", "Assume Liam is a knight. No contradiction is found in their claim that James is a knight.", "Henry cannot be a knight, because this would contradict the claim of James that Liam is a knight and Henry is a knave.", "Assume Henry is a knave. No contradiction is found in their false claim that Henry is a knight or Lily is a knave.", "Lily cannot be a knight, because this would contradict the claim of their own that Evelyn is a knave and Evelyn is a knight.", "Lily cannot be a knave, because this would contradict the false claim of Henry that Henry is a knight or Lily is a knave.", "We have exhausted all possibilities for Lily and Henry, so let us go back and reconsider Liam.", "Liam cannot be a knave, because this would contradict the claim of James that Liam is a knight and Henry is a knave.", "We have exhausted all possibilities for Liam, so let us go back and reconsider James.", "Assume James is a knave. No contradiction is found in their false claim that Liam is a knight and Henry is a knave.", "Liam cannot be a knight, because this would contradict the claim of their own that James is a knight.", "Assume Liam is a knave. No contradiction is found in their false claim that James is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that Henry is a knight or Lily is a knave.", "Lily cannot be a knight, because this would contradict the claim of their own that Evelyn is a knave and Evelyn is a knight.", "Assume Lily is a knave. No contradiction is found in their false claim that Evelyn is a knave and Evelyn is a knight.", "Evelyn cannot be a knight, because this would contradict the claim of their own that Liam is a knight if and only if Lily is a knave.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Liam is a knight if and only if Lily is a knave.", "Assume Jacob is a knight. No contradiction is found in their claim that James is a knave.", "Ethan cannot be a knight, because this would contradict the claim of their own that James is not a knave.", "Assume Ethan is a knave. No contradiction is found in their false claim that James is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 3), ('lying', 4)), ('and', ('lying', 2), ('telling-truth', 2)), ('<=>', ('telling-truth', 3), ('lying', 1)), ('telling-truth', 0), ('or', ('telling-truth', 4), ('lying', 1)), ('lying', 0), ('not', ('lying', 0)))", "index": 955}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Sofia, Mason, Penelope, Evelyn, Charlotte, David, and Ethan. In Sofia's words: \"Evelyn is a knave or Mason is a knight\". Mason commented, \"Charlotte is a knave if and only if Sofia is a knave\". In a statement by Penelope: \"Charlotte is a knight if and only if Sofia is a knave\". Evelyn commented, \"David is a knave\". Charlotte said that Penelope is a knave if and only if Evelyn is a knight. David commented, \"Ethan is a knight if and only if Evelyn is a knight\". According to Ethan, \"Mason is a knight if and only if Ethan is a knight\". So who is a knight and who is a knave?", "names": ["Sofia", "Mason", "Penelope", "Evelyn", "Charlotte", "David", "Ethan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true, true, false, false], "solution_text": "Sofia is a knight, Mason is a knight, Penelope is a knave, Evelyn is a knight, Charlotte is a knight, David is a knave, and Ethan is a knave.", "solution_text_format": "(1) Sofia is a knight\n(2) Mason is a knight\n(3) Penelope is a knave\n(4) Evelyn is a knight\n(5) Charlotte is a knight\n(6) David is a knave\n(7) Ethan is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sofia is a knight. No contradiction is found in their claim that Evelyn is a knave or Mason is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that David is a knave.", "David cannot be a knight, because this would contradict the claim of Evelyn that David is a knave.", "Assume David is a knave. No contradiction is found in their false claim that Ethan is a knight if and only if Evelyn is a knight.", "Ethan cannot be a knight, because this would contradict the false claim of David that Ethan is a knight if and only if Evelyn is a knight.", "Assume Ethan is a knave. No contradiction is found in their false claim that Mason is a knight if and only if Ethan is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that Charlotte is a knave if and only if Sofia is a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that Penelope is a knave if and only if Evelyn is a knight.", "Penelope cannot be a knight, because this would contradict the claim of their own that Charlotte is a knight if and only if Sofia is a knave.", "Assume Penelope is a knave. No contradiction is found in their false claim that Charlotte is a knight if and only if Sofia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 3), ('telling-truth', 1)), ('<=>', ('lying', 4), ('lying', 0)), ('<=>', ('telling-truth', 4), ('lying', 0)), ('lying', 5), ('<=>', ('lying', 2), ('telling-truth', 3)), ('<=>', ('telling-truth', 6), ('telling-truth', 3)), ('<=>', ('telling-truth', 1), ('telling-truth', 6)))", "index": 956}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Joseph, Lucas, Zoey, Oliver, Charlotte, Victoria, and Benjamin. Joseph said, \"Victoria is not a knight.\" Lucas stated, \"Victoria is a knight\". Zoey noted, \"Lucas is not a knight\". \"Victoria is a knight and Lucas is a knight,\" Oliver mentioned. Charlotte said, \"Benjamin is not a knave.\" Victoria was heard saying, \"If Zoey is a knave then Joseph is a knave\". Benjamin said, \"Joseph is a knight if and only if Victoria is a knight.\" So who is a knight and who is a knave?", "names": ["Joseph", "Lucas", "Zoey", "Oliver", "Charlotte", "Victoria", "Benjamin"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true, false, true, false], "solution_text": "Joseph is a knave, Lucas is a knight, Zoey is a knave, Oliver is a knight, Charlotte is a knave, Victoria is a knight, and Benjamin is a knave.", "solution_text_format": "(1) Joseph is a knave\n(2) Lucas is a knight\n(3) Zoey is a knave\n(4) Oliver is a knight\n(5) Charlotte is a knave\n(6) Victoria is a knight\n(7) Benjamin is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Joseph is a knight. No contradiction is found in their claim that Victoria is not a knight.", "Victoria cannot be a knight, because this would contradict the claim of Joseph that Victoria is not a knight.", "Assume Victoria is a knave. No contradiction is found in their false claim that If Zoey is a knave then Joseph is a knave.", "Zoey cannot be a knight, because this would contradict the false claim of Victoria that If Zoey is a knave then Joseph is a knave.", "Assume Zoey is a knave. No contradiction is found in their false claim that Lucas is not a knight.", "Lucas cannot be a knight, because this would contradict the claim of their own that Victoria is a knight.", "Lucas cannot be a knave, because this would contradict the false claim of Zoey that Lucas is not a knight.", "We have exhausted all possibilities for Lucas, Zoey, and Victoria, so let us go back and reconsider Joseph.", "Assume Joseph is a knave. No contradiction is found in their false claim that Victoria is not a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that If Zoey is a knave then Joseph is a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that Lucas is not a knight.", "Lucas cannot be a knight, because this would contradict the claim of Zoey that Lucas is not a knight.", "Lucas cannot be a knave, because this would contradict the false claim of their own that Victoria is a knight.", "We have exhausted all possibilities for Lucas, so let us go back and reconsider Zoey.", "Assume Zoey is a knave. No contradiction is found in their false claim that Lucas is not a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that Victoria is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that Victoria is a knight and Lucas is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that Benjamin is not a knave.", "Benjamin cannot be a knight, because this would contradict the claim of their own that Joseph is a knight if and only if Victoria is a knight.", "Benjamin cannot be a knave, because this would contradict the claim of Charlotte that Benjamin is not a knave.", "We have exhausted all possibilities for Benjamin, so let us go back and reconsider Charlotte.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Benjamin is not a knave.", "Benjamin cannot be a knight, because this would contradict the false claim of Charlotte that Benjamin is not a knave.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Joseph is a knight if and only if Victoria is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 5)), ('telling-truth', 5), ('not', ('telling-truth', 1)), ('and', ('telling-truth', 5), ('telling-truth', 1)), ('not', ('lying', 6)), ('->', ('lying', 2), ('lying', 0)), ('<=>', ('telling-truth', 0), ('telling-truth', 5)))", "index": 957}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Mia, James, Avery, Ella, Sebastian, Sofia, and Liam. Mia stated, \"Sofia is a knave or Liam is a knave\". James remarked, \"Avery is not a knave\". In a statement by Avery: \"Sebastian is a knave and Sebastian is a knight\". In a statement by Ella: \"Mia is a knight\". Sebastian told you that Liam is a knight. Sofia asserted: \"Liam is a knave and Avery is a knight\". Liam was heard saying, \"Sofia is a knave or James is a knave\". So who is a knight and who is a knave?", "names": ["Mia", "James", "Avery", "Ella", "Sebastian", "Sofia", "Liam"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, true, false, true], "solution_text": "Mia is a knight, James is a knave, Avery is a knave, Ella is a knight, Sebastian is a knight, Sofia is a knave, and Liam is a knight.", "solution_text_format": "(1) Mia is a knight\n(2) James is a knave\n(3) Avery is a knave\n(4) Ella is a knight\n(5) Sebastian is a knight\n(6) Sofia is a knave\n(7) Liam is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Mia is a knight. No contradiction is found in their claim that Sofia is a knave or Liam is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that Liam is a knave and Avery is a knight.", "Liam cannot be a knight, because this would contradict the claim of Mia that Sofia is a knave or Liam is a knave.", "Assume Liam is a knave. No contradiction is found in their false claim that Sofia is a knave or James is a knave.", "Assume James is a knight. No contradiction is found in their claim that Avery is not a knave.", "Avery cannot be a knight, because this would contradict the claim of their own that Sebastian is a knave and Sebastian is a knight.", "Avery cannot be a knave, because this would contradict the claim of James that Avery is not a knave.", "We have exhausted all possibilities for Avery, so let us go back and reconsider James.", "James cannot be a knave, because this would contradict the false claim of Liam that Sofia is a knave or James is a knave.", "We have exhausted all possibilities for James and Liam, so let us go back and reconsider Sofia.", "Assume Sofia is a knave. No contradiction is found in their false claim that Liam is a knave and Avery is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that Sofia is a knave or James is a knave.", "Assume James is a knight. No contradiction is found in their claim that Avery is not a knave.", "Avery cannot be a knight, because this would contradict the claim of their own that Sebastian is a knave and Sebastian is a knight.", "Avery cannot be a knave, because this would contradict the claim of James that Avery is not a knave.", "We have exhausted all possibilities for Avery, so let us go back and reconsider James.", "Assume James is a knave. No contradiction is found in their false claim that Avery is not a knave.", "Avery cannot be a knight, because this would contradict the false claim of James that Avery is not a knave.", "Assume Avery is a knave. No contradiction is found in their false claim that Sebastian is a knave and Sebastian is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Liam is a knight.", "Assume Ella is a knight. No contradiction is found in their claim that Mia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 5), ('lying', 6)), ('not', ('lying', 2)), ('and', ('lying', 4), ('telling-truth', 4)), ('telling-truth', 0), ('telling-truth', 6), ('and', ('lying', 6), ('telling-truth', 2)), ('or', ('lying', 5), ('lying', 1)))", "index": 958}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Oliver, Elizabeth, Penelope, Jackson, Riley, Michael, and David. Oliver noted, \"Oliver is a knight if and only if Elizabeth is a knave\". \"Riley is a knight or Oliver is a knight,\" Elizabeth mentioned. \"Elizabeth is a knight if and only if Riley is a knight,\" Penelope declared. Jackson expressed that If Penelope is a knave then David is a knight. \"Michael is not a knight,\" Riley claimed. As Michael put it, \"Penelope is a knight\". David asserted: \"Jackson is a knight and Elizabeth is a knave\". So who is a knight and who is a knave?", "names": ["Oliver", "Elizabeth", "Penelope", "Jackson", "Riley", "Michael", "David"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true, false, true, true], "solution_text": "Oliver is a knave, Elizabeth is a knave, Penelope is a knight, Jackson is a knight, Riley is a knave, Michael is a knight, and David is a knight.", "solution_text_format": "(1) Oliver is a knave\n(2) Elizabeth is a knave\n(3) Penelope is a knight\n(4) Jackson is a knight\n(5) Riley is a knave\n(6) Michael is a knight\n(7) David is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Oliver is a knight. No contradiction is found in their claim that Oliver is a knight if and only if Elizabeth is a knave.", "Elizabeth cannot be a knight, because this would contradict the claim of Oliver that Oliver is a knight if and only if Elizabeth is a knave.", "Elizabeth cannot be a knave, because this would contradict the false claim of their own that Riley is a knight or Oliver is a knight.", "We have exhausted all possibilities for Elizabeth, so let us go back and reconsider Oliver.", "Assume Oliver is a knave. No contradiction is found in their false claim that Oliver is a knight if and only if Elizabeth is a knave.", "Elizabeth cannot be a knight, because this would contradict the false claim of Oliver that Oliver is a knight if and only if Elizabeth is a knave.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Riley is a knight or Oliver is a knight.", "Riley cannot be a knight, because this would contradict the false claim of Elizabeth that Riley is a knight or Oliver is a knight.", "Assume Riley is a knave. No contradiction is found in their false claim that Michael is not a knight.", "Assume Michael is a knight. No contradiction is found in their claim that Penelope is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that Elizabeth is a knight if and only if Riley is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that If Penelope is a knave then David is a knight.", "Assume David is a knight. No contradiction is found in their claim that Jackson is a knight and Elizabeth is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 0), ('lying', 1)), ('or', ('telling-truth', 4), ('telling-truth', 0)), ('<=>', ('telling-truth', 1), ('telling-truth', 4)), ('->', ('lying', 2), ('telling-truth', 6)), ('not', ('telling-truth', 5)), ('telling-truth', 2), ('and', ('telling-truth', 3), ('lying', 1)))", "index": 959}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Abigail, William, Lily, Matthew, Michael, Luke, and Noah. Abigail said that Luke is a knight or Luke is a knave. As William put it, \"Matthew is a knave and Lily is a knave\". Lily said that Abigail is not a knave. As Matthew put it, \"Noah is a knave\". Michael expressed that Luke is a knave or William is a knight. Luke asserted: \"If William is a knight then Michael is a knave\". In Noah's words: \"William is a knave\". So who is a knight and who is a knave?", "names": ["Abigail", "William", "Lily", "Matthew", "Michael", "Luke", "Noah"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false, false, true, true], "solution_text": "Abigail is a knight, William is a knave, Lily is a knight, Matthew is a knave, Michael is a knave, Luke is a knight, and Noah is a knight.", "solution_text_format": "(1) Abigail is a knight\n(2) William is a knave\n(3) Lily is a knight\n(4) Matthew is a knave\n(5) Michael is a knave\n(6) Luke is a knight\n(7) Noah is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Abigail is a knight. No contradiction is found in their claim that Luke is a knight or Luke is a knave.", "Assume Luke is a knight. No contradiction is found in their claim that If William is a knight then Michael is a knave.", "Assume William is a knight. No contradiction is found in their claim that Matthew is a knave and Lily is a knave.", "Matthew cannot be a knight, because this would contradict the claim of William that Matthew is a knave and Lily is a knave.", "Assume Matthew is a knave. No contradiction is found in their false claim that Noah is a knave.", "Noah cannot be a knight, because this would contradict the claim of their own that William is a knave.", "Noah cannot be a knave, because this would contradict the false claim of Matthew that Noah is a knave.", "We have exhausted all possibilities for Noah and Matthew, so let us go back and reconsider William.", "Assume William is a knave. No contradiction is found in their false claim that Matthew is a knave and Lily is a knave.", "Assume Matthew is a knight. No contradiction is found in their claim that Noah is a knave.", "Noah cannot be a knight, because this would contradict the claim of Matthew that Noah is a knave.", "Noah cannot be a knave, because this would contradict the false claim of their own that William is a knave.", "We have exhausted all possibilities for Noah, so let us go back and reconsider Matthew.", "Assume Matthew is a knave. No contradiction is found in their false claim that Noah is a knave.", "Assume Noah is a knight. No contradiction is found in their claim that William is a knave.", "Assume Lily is a knight. No contradiction is found in their claim that Abigail is not a knave.", "Michael cannot be a knight, because this would contradict the claim of their own that Luke is a knave or William is a knight.", "Assume Michael is a knave. No contradiction is found in their false claim that Luke is a knave or William is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 5), ('lying', 5)), ('and', ('lying', 3), ('lying', 2)), ('not', ('lying', 0)), ('lying', 6), ('or', ('lying', 5), ('telling-truth', 1)), ('->', ('telling-truth', 1), ('lying', 4)), ('lying', 1))", "index": 960}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Aria, Ella, David, Victoria, Elizabeth, Ethan, and Avery. Aria noted, \"Victoria is not a knight\". \"Elizabeth is a knight and Victoria is a knave,\" Ella declared. David asserted: \"If David is a knight then Aria is a knave\". \"Ella is a knave or Ethan is a knave,\" Victoria mentioned. Elizabeth was heard saying, \"If Avery is a knave then David is a knight\". In Ethan's words: \"Victoria is a knave if and only if Ella is a knight\". Avery stated, \"If David is a knight then Ethan is a knight\". So who is a knight and who is a knave?", "names": ["Aria", "Ella", "David", "Victoria", "Elizabeth", "Ethan", "Avery"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true, true, true, true], "solution_text": "Aria is a knave, Ella is a knave, David is a knight, Victoria is a knight, Elizabeth is a knight, Ethan is a knight, and Avery is a knight.", "solution_text_format": "(1) Aria is a knave\n(2) Ella is a knave\n(3) David is a knight\n(4) Victoria is a knight\n(5) Elizabeth is a knight\n(6) Ethan is a knight\n(7) Avery is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aria is a knight. No contradiction is found in their claim that Victoria is not a knight.", "Victoria cannot be a knight, because this would contradict the claim of Aria that Victoria is not a knight.", "Assume Victoria is a knave. No contradiction is found in their false claim that Ella is a knave or Ethan is a knave.", "Assume Ella is a knight. No contradiction is found in their claim that Elizabeth is a knight and Victoria is a knave.", "Assume Elizabeth is a knight. No contradiction is found in their claim that If Avery is a knave then David is a knight.", "Assume Avery is a knight. No contradiction is found in their claim that If David is a knight then Ethan is a knight.", "David cannot be a knight, because this would contradict the claim of their own that If David is a knight then Aria is a knave.", "David cannot be a knave, because this would contradict the false claim of their own that If David is a knight then Aria is a knave.", "We have exhausted all possibilities for David, so let us go back and reconsider Avery.", "Assume Avery is a knave. No contradiction is found in their false claim that If David is a knight then Ethan is a knight.", "David cannot be a knight, because this would contradict the claim of their own that If David is a knight then Aria is a knave.", "David cannot be a knave, because this would contradict the false claim of their own that If David is a knight then Aria is a knave.", "We have exhausted all possibilities for David and Avery, so let us go back and reconsider Elizabeth.", "Elizabeth cannot be a knave, because this would contradict the claim of Ella that Elizabeth is a knight and Victoria is a knave.", "We have exhausted all possibilities for Elizabeth, so let us go back and reconsider Ella.", "Ella cannot be a knave, because this would contradict the false claim of Victoria that Ella is a knave or Ethan is a knave.", "We have exhausted all possibilities for Ella and Victoria, so let us go back and reconsider Aria.", "Assume Aria is a knave. No contradiction is found in their false claim that Victoria is not a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that Ella is a knave or Ethan is a knave.", "Ella cannot be a knight, because this would contradict the claim of their own that Elizabeth is a knight and Victoria is a knave.", "Assume Ella is a knave. No contradiction is found in their false claim that Elizabeth is a knight and Victoria is a knave.", "Assume Elizabeth is a knight. No contradiction is found in their claim that If Avery is a knave then David is a knight.", "Assume Avery is a knight. No contradiction is found in their claim that If David is a knight then Ethan is a knight.", "Assume David is a knight. No contradiction is found in their claim that If David is a knight then Aria is a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that Victoria is a knave if and only if Ella is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 3)), ('and', ('telling-truth', 4), ('lying', 3)), ('->', ('telling-truth', 2), ('lying', 0)), ('or', ('lying', 1), ('lying', 5)), ('->', ('lying', 6), ('telling-truth', 2)), ('<=>', ('lying', 3), ('telling-truth', 1)), ('->', ('telling-truth', 2), ('telling-truth', 5)))", "index": 961}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Aria, Sofia, Chloe, Isabella, Ethan, Lucas, and Grace. Aria expressed that If Ethan is a knight then Aria is a knight. Sofia said, \"Lucas is a knave and Chloe is a knave.\" Chloe said, \"Isabella is not a knight.\" Isabella expressed that If Chloe is a knave then Sofia is a knave. Ethan expressed that Lucas is a knave if and only if Grace is a knave. Lucas was heard saying, \"Ethan is a knight or Aria is a knight\". Grace was heard saying, \"Lucas is a knave or Isabella is a knave\". So who is a knight and who is a knave?", "names": ["Aria", "Sofia", "Chloe", "Isabella", "Ethan", "Lucas", "Grace"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, false, true, false], "solution_text": "Aria is a knight, Sofia is a knave, Chloe is a knave, Isabella is a knight, Ethan is a knave, Lucas is a knight, and Grace is a knave.", "solution_text_format": "(1) Aria is a knight\n(2) Sofia is a knave\n(3) Chloe is a knave\n(4) Isabella is a knight\n(5) Ethan is a knave\n(6) Lucas is a knight\n(7) Grace is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aria is a knight. No contradiction is found in their claim that If Ethan is a knight then Aria is a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that Lucas is a knave if and only if Grace is a knave.", "Assume Lucas is a knight. No contradiction is found in their claim that Ethan is a knight or Aria is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that Lucas is a knave or Isabella is a knave.", "Isabella cannot be a knight, because this would contradict the claim of Grace that Lucas is a knave or Isabella is a knave.", "Assume Isabella is a knave. No contradiction is found in their false claim that If Chloe is a knave then Sofia is a knave.", "Chloe cannot be a knight, because this would contradict the false claim of Isabella that If Chloe is a knave then Sofia is a knave.", "Chloe cannot be a knave, because this would contradict the false claim of their own that Isabella is not a knight.", "We have exhausted all possibilities for Chloe and Isabella, so let us go back and reconsider Grace.", "Grace cannot be a knave, because this would contradict the claim of Ethan that Lucas is a knave if and only if Grace is a knave.", "We have exhausted all possibilities for Grace, so let us go back and reconsider Lucas.", "Lucas cannot be a knave, because this would contradict the false claim of their own that Ethan is a knight or Aria is a knight.", "We have exhausted all possibilities for Lucas, so let us go back and reconsider Ethan.", "Assume Ethan is a knave. No contradiction is found in their false claim that Lucas is a knave if and only if Grace is a knave.", "Assume Lucas is a knight. No contradiction is found in their claim that Ethan is a knight or Aria is a knight.", "Grace cannot be a knight, because this would contradict the false claim of Ethan that Lucas is a knave if and only if Grace is a knave.", "Assume Grace is a knave. No contradiction is found in their false claim that Lucas is a knave or Isabella is a knave.", "Assume Isabella is a knight. No contradiction is found in their claim that If Chloe is a knave then Sofia is a knave.", "Chloe cannot be a knight, because this would contradict the claim of their own that Isabella is not a knight.", "Assume Chloe is a knave. No contradiction is found in their false claim that Isabella is not a knight.", "Sofia cannot be a knight, because this would contradict the claim of their own that Lucas is a knave and Chloe is a knave.", "Assume Sofia is a knave. No contradiction is found in their false claim that Lucas is a knave and Chloe is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 4), ('telling-truth', 0)), ('and', ('lying', 5), ('lying', 2)), ('not', ('telling-truth', 3)), ('->', ('lying', 2), ('lying', 1)), ('<=>', ('lying', 5), ('lying', 6)), ('or', ('telling-truth', 4), ('telling-truth', 0)), ('or', ('lying', 5), ('lying', 3)))", "index": 962}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Oliver, James, Michael, Grace, Isabella, Jackson, and Sofia. \"Michael is a knight and Grace is a knight,\" Oliver claimed. James remarked, \"If Oliver is a knave then Grace is a knave\". Michael expressed that Sofia is a knave or Isabella is a knave. \"If Sofia is a knight then Michael is a knave\" - Grace. In a statement by Isabella: \"Grace is a knight if and only if Michael is a knave\". In Jackson's words: \"Oliver is a knight\". In a statement by Sofia: \"Michael is a knight and James is a knave\". So who is a knight and who is a knave?", "names": ["Oliver", "James", "Michael", "Grace", "Isabella", "Jackson", "Sofia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, false, true, false], "solution_text": "Oliver is a knight, James is a knight, Michael is a knight, Grace is a knight, Isabella is a knave, Jackson is a knight, and Sofia is a knave.", "solution_text_format": "(1) Oliver is a knight\n(2) James is a knight\n(3) Michael is a knight\n(4) Grace is a knight\n(5) Isabella is a knave\n(6) Jackson is a knight\n(7) Sofia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Oliver is a knight. No contradiction is found in their claim that Michael is a knight and Grace is a knight.", "Assume Michael is a knight. No contradiction is found in their claim that Sofia is a knave or Isabella is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that Michael is a knight and James is a knave.", "James cannot be a knight, because this would contradict the claim of Sofia that Michael is a knight and James is a knave.", "James cannot be a knave, because this would contradict the false claim of their own that If Oliver is a knave then Grace is a knave.", "We have exhausted all possibilities for James, so let us go back and reconsider Sofia.", "Assume Sofia is a knave. No contradiction is found in their false claim that Michael is a knight and James is a knave.", "Assume James is a knight. No contradiction is found in their claim that If Oliver is a knave then Grace is a knave.", "Assume Grace is a knight. No contradiction is found in their claim that If Sofia is a knight then Michael is a knave.", "Isabella cannot be a knight, because this would contradict the claim of their own that Grace is a knight if and only if Michael is a knave.", "Assume Isabella is a knave. No contradiction is found in their false claim that Grace is a knight if and only if Michael is a knave.", "Assume Jackson is a knight. No contradiction is found in their claim that Oliver is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 2), ('telling-truth', 3)), ('->', ('lying', 0), ('lying', 3)), ('or', ('lying', 6), ('lying', 4)), ('->', ('telling-truth', 6), ('lying', 2)), ('<=>', ('telling-truth', 3), ('lying', 2)), ('telling-truth', 0), ('and', ('telling-truth', 2), ('lying', 1)))", "index": 963}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Amelia, Daniel, Ava, Joseph, Luke, Benjamin, and Zoey. Amelia was heard saying, \"Joseph is a knight\". \"Zoey is a knight or Daniel is a knight,\" Daniel declared. Ava told you that Benjamin is not a knave. Joseph commented, \"Luke is a knight if and only if Benjamin is a knave\". Luke commented, \"Daniel is a knave and Amelia is a knave\". \"Zoey is a knave or Luke is a knight,\" Benjamin declared. \"Joseph is not a knave,\" Zoey declared. So who is a knight and who is a knave?", "names": ["Amelia", "Daniel", "Ava", "Joseph", "Luke", "Benjamin", "Zoey"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false, true, true, false], "solution_text": "Amelia is a knave, Daniel is a knave, Ava is a knight, Joseph is a knave, Luke is a knight, Benjamin is a knight, and Zoey is a knave.", "solution_text_format": "(1) Amelia is a knave\n(2) Daniel is a knave\n(3) Ava is a knight\n(4) Joseph is a knave\n(5) Luke is a knight\n(6) Benjamin is a knight\n(7) Zoey is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Amelia is a knight. No contradiction is found in their claim that Joseph is a knight.", "Assume Joseph is a knight. No contradiction is found in their claim that Luke is a knight if and only if Benjamin is a knave.", "Luke cannot be a knight, because this would contradict the claim of their own that Daniel is a knave and Amelia is a knave.", "Assume Luke is a knave. No contradiction is found in their false claim that Daniel is a knave and Amelia is a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that Zoey is a knight or Daniel is a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that Joseph is not a knave.", "Benjamin cannot be a knight, because this would contradict the claim of their own that Zoey is a knave or Luke is a knight.", "Benjamin cannot be a knave, because this would contradict the claim of Joseph that Luke is a knight if and only if Benjamin is a knave.", "We have exhausted all possibilities for Benjamin, so let us go back and reconsider Zoey.", "Zoey cannot be a knave, because this would contradict the false claim of their own that Joseph is not a knave.", "We have exhausted all possibilities for Zoey, so let us go back and reconsider Daniel.", "Assume Daniel is a knave. No contradiction is found in their false claim that Zoey is a knight or Daniel is a knight.", "Zoey cannot be a knight, because this would contradict the false claim of Daniel that Zoey is a knight or Daniel is a knight.", "Zoey cannot be a knave, because this would contradict the false claim of their own that Joseph is not a knave.", "We have exhausted all possibilities for Zoey, Daniel, and Luke, so let us go back and reconsider Joseph.", "Joseph cannot be a knave, because this would contradict the claim of Amelia that Joseph is a knight.", "We have exhausted all possibilities for Joseph, so let us go back and reconsider Amelia.", "Assume Amelia is a knave. No contradiction is found in their false claim that Joseph is a knight.", "Joseph cannot be a knight, because this would contradict the false claim of Amelia that Joseph is a knight.", "Assume Joseph is a knave. No contradiction is found in their false claim that Luke is a knight if and only if Benjamin is a knave.", "Assume Luke is a knight. No contradiction is found in their claim that Daniel is a knave and Amelia is a knave.", "Daniel cannot be a knight, because this would contradict the claim of Luke that Daniel is a knave and Amelia is a knave.", "Assume Daniel is a knave. No contradiction is found in their false claim that Zoey is a knight or Daniel is a knight.", "Zoey cannot be a knight, because this would contradict the false claim of Daniel that Zoey is a knight or Daniel is a knight.", "Assume Zoey is a knave. No contradiction is found in their false claim that Joseph is not a knave.", "Assume Benjamin is a knight. No contradiction is found in their claim that Zoey is a knave or Luke is a knight.", "Assume Ava is a knight. No contradiction is found in their claim that Benjamin is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 3), ('or', ('telling-truth', 6), ('telling-truth', 1)), ('not', ('lying', 5)), ('<=>', ('telling-truth', 4), ('lying', 5)), ('and', ('lying', 1), ('lying', 0)), ('or', ('lying', 6), ('telling-truth', 4)), ('not', ('lying', 3)))", "index": 964}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Zoey, Lucas, Logan, Benjamin, Luke, William, and Aiden. Zoey asserted: \"Aiden is a knave and Logan is a knight\". Lucas told you that Lucas is a knight. Logan told you that Zoey is a knight or Lucas is a knave. Benjamin remarked, \"Zoey is a knight if and only if Luke is a knight\". As Luke put it, \"Logan is a knave\". William told you that If William is a knight then Luke is a knave. \"Luke is not a knight\" - Aiden. So who is a knight and who is a knave?", "names": ["Zoey", "Lucas", "Logan", "Benjamin", "Luke", "William", "Aiden"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true, false, true, true], "solution_text": "Zoey is a knave, Lucas is a knave, Logan is a knight, Benjamin is a knight, Luke is a knave, William is a knight, and Aiden is a knight.", "solution_text_format": "(1) Zoey is a knave\n(2) Lucas is a knave\n(3) Logan is a knight\n(4) Benjamin is a knight\n(5) Luke is a knave\n(6) William is a knight\n(7) Aiden is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Zoey is a knight. No contradiction is found in their claim that Aiden is a knave and Logan is a knight.", "Aiden cannot be a knight, because this would contradict the claim of Zoey that Aiden is a knave and Logan is a knight.", "Assume Aiden is a knave. No contradiction is found in their false claim that Luke is not a knight.", "Assume Luke is a knight. No contradiction is found in their claim that Logan is a knave.", "Logan cannot be a knight, because this would contradict the claim of Luke that Logan is a knave.", "Logan cannot be a knave, because this would contradict the claim of Zoey that Aiden is a knave and Logan is a knight.", "We have exhausted all possibilities for Logan, so let us go back and reconsider Luke.", "Luke cannot be a knave, because this would contradict the false claim of Aiden that Luke is not a knight.", "We have exhausted all possibilities for Luke and Aiden, so let us go back and reconsider Zoey.", "Assume Zoey is a knave. No contradiction is found in their false claim that Aiden is a knave and Logan is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that Luke is not a knight.", "Luke cannot be a knight, because this would contradict the claim of Aiden that Luke is not a knight.", "Assume Luke is a knave. No contradiction is found in their false claim that Logan is a knave.", "Assume Logan is a knight. No contradiction is found in their claim that Zoey is a knight or Lucas is a knave.", "Lucas cannot be a knight, because this would contradict the claim of Logan that Zoey is a knight or Lucas is a knave.", "Assume Lucas is a knave. No contradiction is found in their false claim that Lucas is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that Zoey is a knight if and only if Luke is a knight.", "Assume William is a knight. No contradiction is found in their claim that If William is a knight then Luke is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 6), ('telling-truth', 2)), ('telling-truth', 1), ('or', ('telling-truth', 0), ('lying', 1)), ('<=>', ('telling-truth', 0), ('telling-truth', 4)), ('lying', 2), ('->', ('telling-truth', 5), ('lying', 4)), ('not', ('telling-truth', 4)))", "index": 965}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Penelope, Mia, Liam, Zoey, Lily, Sebastian, and Benjamin. As Penelope put it, \"Liam is a knight\". According to Mia, \"Zoey is a knave and Sebastian is a knave\". Liam told you that Lily is not a knave. In Zoey's words: \"Mia is a knave\". Lily told you that Mia is a knight and Sebastian is a knave. \"Liam is a knave\" - Sebastian. Benjamin said that If Benjamin is a knight then Sebastian is a knight. So who is a knight and who is a knave?", "names": ["Penelope", "Mia", "Liam", "Zoey", "Lily", "Sebastian", "Benjamin"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true, false, true, true], "solution_text": "Penelope is a knave, Mia is a knave, Liam is a knave, Zoey is a knight, Lily is a knave, Sebastian is a knight, and Benjamin is a knight.", "solution_text_format": "(1) Penelope is a knave\n(2) Mia is a knave\n(3) Liam is a knave\n(4) Zoey is a knight\n(5) Lily is a knave\n(6) Sebastian is a knight\n(7) Benjamin is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Penelope is a knight. No contradiction is found in their claim that Liam is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that Lily is not a knave.", "Assume Lily is a knight. No contradiction is found in their claim that Mia is a knight and Sebastian is a knave.", "Assume Mia is a knight. No contradiction is found in their claim that Zoey is a knave and Sebastian is a knave.", "Zoey cannot be a knight, because this would contradict the claim of Mia that Zoey is a knave and Sebastian is a knave.", "Assume Zoey is a knave. No contradiction is found in their false claim that Mia is a knave.", "Sebastian cannot be a knight, because this would contradict the claim of Mia that Zoey is a knave and Sebastian is a knave.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Liam is a knave.", "Benjamin cannot be a knight, because this would contradict the claim of their own that If Benjamin is a knight then Sebastian is a knight.", "Benjamin cannot be a knave, because this would contradict the false claim of their own that If Benjamin is a knight then Sebastian is a knight.", "We have exhausted all possibilities for Benjamin, Sebastian, and Zoey, so let us go back and reconsider Mia.", "Mia cannot be a knave, because this would contradict the claim of Lily that Mia is a knight and Sebastian is a knave.", "We have exhausted all possibilities for Mia, so let us go back and reconsider Lily.", "Lily cannot be a knave, because this would contradict the claim of Liam that Lily is not a knave.", "We have exhausted all possibilities for Lily, so let us go back and reconsider Liam.", "Liam cannot be a knave, because this would contradict the claim of Penelope that Liam is a knight.", "We have exhausted all possibilities for Liam, so let us go back and reconsider Penelope.", "Assume Penelope is a knave. No contradiction is found in their false claim that Liam is a knight.", "Liam cannot be a knight, because this would contradict the false claim of Penelope that Liam is a knight.", "Assume Liam is a knave. No contradiction is found in their false claim that Lily is not a knave.", "Lily cannot be a knight, because this would contradict the false claim of Liam that Lily is not a knave.", "Assume Lily is a knave. No contradiction is found in their false claim that Mia is a knight and Sebastian is a knave.", "Assume Mia is a knight. No contradiction is found in their claim that Zoey is a knave and Sebastian is a knave.", "Zoey cannot be a knight, because this would contradict the claim of Mia that Zoey is a knave and Sebastian is a knave.", "Assume Zoey is a knave. No contradiction is found in their false claim that Mia is a knave.", "Sebastian cannot be a knight, because this would contradict the claim of Mia that Zoey is a knave and Sebastian is a knave.", "Sebastian cannot be a knave, because this would contradict the false claim of Lily that Mia is a knight and Sebastian is a knave.", "We have exhausted all possibilities for Sebastian and Zoey, so let us go back and reconsider Mia.", "Assume Mia is a knave. No contradiction is found in their false claim that Zoey is a knave and Sebastian is a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that Mia is a knave.", "Assume Sebastian is a knight. No contradiction is found in their claim that Liam is a knave.", "Assume Benjamin is a knight. No contradiction is found in their claim that If Benjamin is a knight then Sebastian is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 2), ('and', ('lying', 3), ('lying', 5)), ('not', ('lying', 4)), ('lying', 1), ('and', ('telling-truth', 1), ('lying', 5)), ('lying', 2), ('->', ('telling-truth', 6), ('telling-truth', 5)))", "index": 966}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Chloe, Jack, Aurora, Henry, Sophia, Victoria, and Ethan. Chloe told you that Victoria is a knave or Victoria is a knight. Jack said, \"Victoria is a knight and Ethan is a knight.\" Aurora commented, \"Sophia is not a knave\". Henry asserted: \"Ethan is a knave or Victoria is a knave\". Sophia noted, \"Victoria is a knight and Victoria is a knave\". Victoria said, \"If Chloe is a knight then Ethan is a knight.\" Ethan was heard saying, \"If Henry is a knave then Ethan is a knight\". So who is a knight and who is a knave?", "names": ["Chloe", "Jack", "Aurora", "Henry", "Sophia", "Victoria", "Ethan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false, false, true, true], "solution_text": "Chloe is a knight, Jack is a knight, Aurora is a knave, Henry is a knave, Sophia is a knave, Victoria is a knight, and Ethan is a knight.", "solution_text_format": "(1) Chloe is a knight\n(2) Jack is a knight\n(3) Aurora is a knave\n(4) Henry is a knave\n(5) Sophia is a knave\n(6) Victoria is a knight\n(7) Ethan is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Chloe is a knight. No contradiction is found in their claim that Victoria is a knave or Victoria is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that If Chloe is a knight then Ethan is a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that If Henry is a knave then Ethan is a knight.", "Henry cannot be a knight, because this would contradict the claim of their own that Ethan is a knave or Victoria is a knave.", "Assume Henry is a knave. No contradiction is found in their false claim that Ethan is a knave or Victoria is a knave.", "Assume Jack is a knight. No contradiction is found in their claim that Victoria is a knight and Ethan is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that Sophia is not a knave.", "Sophia cannot be a knight, because this would contradict the claim of their own that Victoria is a knight and Victoria is a knave.", "Sophia cannot be a knave, because this would contradict the claim of Aurora that Sophia is not a knave.", "We have exhausted all possibilities for Sophia, so let us go back and reconsider Aurora.", "Assume Aurora is a knave. No contradiction is found in their false claim that Sophia is not a knave.", "Sophia cannot be a knight, because this would contradict the false claim of Aurora that Sophia is not a knave.", "Assume Sophia is a knave. No contradiction is found in their false claim that Victoria is a knight and Victoria is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 5), ('telling-truth', 5)), ('and', ('telling-truth', 5), ('telling-truth', 6)), ('not', ('lying', 4)), ('or', ('lying', 6), ('lying', 5)), ('and', ('telling-truth', 5), ('lying', 5)), ('->', ('telling-truth', 0), ('telling-truth', 6)), ('->', ('lying', 3), ('telling-truth', 6)))", "index": 967}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Benjamin, Ava, William, Aiden, Sophia, Emily, and Scarlett. Benjamin stated, \"Scarlett is a knight or Sophia is a knave\". Ava stated, \"If William is a knave then Aiden is a knave\". William said, \"Scarlett is a knave if and only if Emily is a knight.\" Aiden expressed that Ava is a knave if and only if Scarlett is a knight. Sophia remarked, \"William is not a knave\". \"Emily is a knight or Sophia is a knave,\" Emily claimed. As Scarlett put it, \"If Sophia is a knave then Sophia is a knight\". So who is a knight and who is a knave?", "names": ["Benjamin", "Ava", "William", "Aiden", "Sophia", "Emily", "Scarlett"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false, true, false, true], "solution_text": "Benjamin is a knight, Ava is a knight, William is a knight, Aiden is a knave, Sophia is a knight, Emily is a knave, and Scarlett is a knight.", "solution_text_format": "(1) Benjamin is a knight\n(2) Ava is a knight\n(3) William is a knight\n(4) Aiden is a knave\n(5) Sophia is a knight\n(6) Emily is a knave\n(7) Scarlett is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Benjamin is a knight. No contradiction is found in their claim that Scarlett is a knight or Sophia is a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that If Sophia is a knave then Sophia is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that William is not a knave.", "Assume William is a knight. No contradiction is found in their claim that Scarlett is a knave if and only if Emily is a knight.", "Emily cannot be a knight, because this would contradict the claim of William that Scarlett is a knave if and only if Emily is a knight.", "Assume Emily is a knave. No contradiction is found in their false claim that Emily is a knight or Sophia is a knave.", "Assume Ava is a knight. No contradiction is found in their claim that If William is a knave then Aiden is a knave.", "Aiden cannot be a knight, because this would contradict the claim of their own that Ava is a knave if and only if Scarlett is a knight.", "Assume Aiden is a knave. No contradiction is found in their false claim that Ava is a knave if and only if Scarlett is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 6), ('lying', 4)), ('->', ('lying', 2), ('lying', 3)), ('<=>', ('lying', 6), ('telling-truth', 5)), ('<=>', ('lying', 1), ('telling-truth', 6)), ('not', ('lying', 2)), ('or', ('telling-truth', 5), ('lying', 4)), ('->', ('lying', 4), ('telling-truth', 4)))", "index": 968}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Ava, Isabella, David, Harper, Liam, Daniel, and Amelia. Ava expressed that Daniel is a knave if and only if Ava is a knight. In Isabella's words: \"Harper is a knave\". As David put it, \"Amelia is not a knight\". Harper remarked, \"Daniel is a knave or Liam is a knight\". Liam said that Ava is a knight. Daniel remarked, \"Ava is a knight if and only if Amelia is a knave\". According to Amelia, \"If Harper is a knave then Ava is a knight\". So who is a knight and who is a knave?", "names": ["Ava", "Isabella", "David", "Harper", "Liam", "Daniel", "Amelia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, true, false, true], "solution_text": "Ava is a knight, Isabella is a knave, David is a knave, Harper is a knight, Liam is a knight, Daniel is a knave, and Amelia is a knight.", "solution_text_format": "(1) Ava is a knight\n(2) Isabella is a knave\n(3) David is a knave\n(4) Harper is a knight\n(5) Liam is a knight\n(6) Daniel is a knave\n(7) Amelia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ava is a knight. No contradiction is found in their claim that Daniel is a knave if and only if Ava is a knight.", "Daniel cannot be a knight, because this would contradict the claim of Ava that Daniel is a knave if and only if Ava is a knight.", "Assume Daniel is a knave. No contradiction is found in their false claim that Ava is a knight if and only if Amelia is a knave.", "Assume Amelia is a knight. No contradiction is found in their claim that If Harper is a knave then Ava is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that Daniel is a knave or Liam is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that Ava is a knight.", "Isabella cannot be a knight, because this would contradict the claim of their own that Harper is a knave.", "Assume Isabella is a knave. No contradiction is found in their false claim that Harper is a knave.", "David cannot be a knight, because this would contradict the claim of their own that Amelia is not a knight.", "Assume David is a knave. No contradiction is found in their false claim that Amelia is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 5), ('telling-truth', 0)), ('lying', 3), ('not', ('telling-truth', 6)), ('or', ('lying', 5), ('telling-truth', 4)), ('telling-truth', 0), ('<=>', ('telling-truth', 0), ('lying', 6)), ('->', ('lying', 3), ('telling-truth', 0)))", "index": 969}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: James, Sofia, Alexander, Chloe, Ava, Zoey, and Joseph. James stated, \"Joseph is a knave\". Sofia asserted: \"Alexander is not a knave\". Alexander was heard saying, \"If James is a knight then Chloe is a knave\". \"Zoey is a knave and James is a knight\" - Chloe. \"Sofia is a knight or Alexander is a knave,\" Ava declared. Zoey said that If Ava is a knave then Sofia is a knave. Joseph expressed that If Ava is a knave then Sofia is a knight. So who is a knight and who is a knave?", "names": ["James", "Sofia", "Alexander", "Chloe", "Ava", "Zoey", "Joseph"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false, true, true, true], "solution_text": "James is a knave, Sofia is a knight, Alexander is a knight, Chloe is a knave, Ava is a knight, Zoey is a knight, and Joseph is a knight.", "solution_text_format": "(1) James is a knave\n(2) Sofia is a knight\n(3) Alexander is a knight\n(4) Chloe is a knave\n(5) Ava is a knight\n(6) Zoey is a knight\n(7) Joseph is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume James is a knight. No contradiction is found in their claim that Joseph is a knave.", "Joseph cannot be a knight, because this would contradict the claim of James that Joseph is a knave.", "Assume Joseph is a knave. No contradiction is found in their false claim that If Ava is a knave then Sofia is a knight.", "Ava cannot be a knight, because this would contradict the false claim of Joseph that If Ava is a knave then Sofia is a knight.", "Assume Ava is a knave. No contradiction is found in their false claim that Sofia is a knight or Alexander is a knave.", "Sofia cannot be a knight, because this would contradict the false claim of Ava that Sofia is a knight or Alexander is a knave.", "Assume Sofia is a knave. No contradiction is found in their false claim that Alexander is not a knave.", "Alexander cannot be a knight, because this would contradict the false claim of Sofia that Alexander is not a knave.", "Alexander cannot be a knave, because this would contradict the false claim of Ava that Sofia is a knight or Alexander is a knave.", "We have exhausted all possibilities for Alexander, Sofia, Ava, and Joseph, so let us go back and reconsider James.", "Assume James is a knave. No contradiction is found in their false claim that Joseph is a knave.", "Assume Joseph is a knight. No contradiction is found in their claim that If Ava is a knave then Sofia is a knight.", "Assume Ava is a knight. No contradiction is found in their claim that Sofia is a knight or Alexander is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that Alexander is not a knave.", "Assume Alexander is a knight. No contradiction is found in their claim that If James is a knight then Chloe is a knave.", "Chloe cannot be a knight, because this would contradict the claim of their own that Zoey is a knave and James is a knight.", "Assume Chloe is a knave. No contradiction is found in their false claim that Zoey is a knave and James is a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that If Ava is a knave then Sofia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 6), ('not', ('lying', 2)), ('->', ('telling-truth', 0), ('lying', 3)), ('and', ('lying', 5), ('telling-truth', 0)), ('or', ('telling-truth', 1), ('lying', 2)), ('->', ('lying', 4), ('lying', 1)), ('->', ('lying', 4), ('telling-truth', 1)))", "index": 970}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Samuel, Elizabeth, Daniel, Matthew, Abigail, Jack, and Chloe. Samuel expressed that If Elizabeth is a knight then Abigail is a knave. Elizabeth told you that Daniel is not a knight. \"Chloe is a knight and Chloe is a knave,\" Daniel claimed. Matthew said, \"Chloe is a knave.\" As Abigail put it, \"If Jack is a knave then Matthew is a knight\". Jack expressed that Chloe is a knight. Chloe asserted: \"Matthew is a knight if and only if Jack is a knave\". So who is a knight and who is a knave?", "names": ["Samuel", "Elizabeth", "Daniel", "Matthew", "Abigail", "Jack", "Chloe"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false, true, true, true], "solution_text": "Samuel is a knave, Elizabeth is a knight, Daniel is a knave, Matthew is a knave, Abigail is a knight, Jack is a knight, and Chloe is a knight.", "solution_text_format": "(1) Samuel is a knave\n(2) Elizabeth is a knight\n(3) Daniel is a knave\n(4) Matthew is a knave\n(5) Abigail is a knight\n(6) Jack is a knight\n(7) Chloe is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Samuel is a knight. No contradiction is found in their claim that If Elizabeth is a knight then Abigail is a knave.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Daniel is not a knight.", "Daniel cannot be a knight, because this would contradict the claim of Elizabeth that Daniel is not a knight.", "Assume Daniel is a knave. No contradiction is found in their false claim that Chloe is a knight and Chloe is a knave.", "Assume Chloe is a knight. No contradiction is found in their claim that Matthew is a knight if and only if Jack is a knave.", "Matthew cannot be a knight, because this would contradict the claim of their own that Chloe is a knave.", "Assume Matthew is a knave. No contradiction is found in their false claim that Chloe is a knave.", "Assume Jack is a knight. No contradiction is found in their claim that Chloe is a knight.", "Abigail cannot be a knight, because this would contradict the claim of Samuel that If Elizabeth is a knight then Abigail is a knave.", "Abigail cannot be a knave, because this would contradict the false claim of their own that If Jack is a knave then Matthew is a knight.", "We have exhausted all possibilities for Abigail, so let us go back and reconsider Jack.", "Jack cannot be a knave, because this would contradict the false claim of their own that Chloe is a knight.", "We have exhausted all possibilities for Jack and Matthew, so let us go back and reconsider Chloe.", "Assume Chloe is a knave. No contradiction is found in their false claim that Matthew is a knight if and only if Jack is a knave.", "Assume Matthew is a knight. No contradiction is found in their claim that Chloe is a knave.", "Jack cannot be a knight, because this would contradict the claim of their own that Chloe is a knight.", "Jack cannot be a knave, because this would contradict the false claim of Chloe that Matthew is a knight if and only if Jack is a knave.", "We have exhausted all possibilities for Jack, so let us go back and reconsider Matthew.", "Matthew cannot be a knave, because this would contradict the false claim of their own that Chloe is a knave.", "We have exhausted all possibilities for Matthew, Chloe, and Daniel, so let us go back and reconsider Elizabeth.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Daniel is not a knight.", "Daniel cannot be a knight, because this would contradict the claim of their own that Chloe is a knight and Chloe is a knave.", "Daniel cannot be a knave, because this would contradict the false claim of Elizabeth that Daniel is not a knight.", "We have exhausted all possibilities for Daniel and Elizabeth, so let us go back and reconsider Samuel.", "Assume Samuel is a knave. No contradiction is found in their false claim that If Elizabeth is a knight then Abigail is a knave.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Daniel is not a knight.", "Daniel cannot be a knight, because this would contradict the claim of Elizabeth that Daniel is not a knight.", "Assume Daniel is a knave. No contradiction is found in their false claim that Chloe is a knight and Chloe is a knave.", "Assume Chloe is a knight. No contradiction is found in their claim that Matthew is a knight if and only if Jack is a knave.", "Matthew cannot be a knight, because this would contradict the claim of their own that Chloe is a knave.", "Assume Matthew is a knave. No contradiction is found in their false claim that Chloe is a knave.", "Assume Jack is a knight. No contradiction is found in their claim that Chloe is a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that If Jack is a knave then Matthew is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 1), ('lying', 4)), ('not', ('telling-truth', 2)), ('and', ('telling-truth', 6), ('lying', 6)), ('lying', 6), ('->', ('lying', 5), ('telling-truth', 3)), ('telling-truth', 6), ('<=>', ('telling-truth', 3), ('lying', 5)))", "index": 971}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Victoria, Matthew, Avery, Penelope, Liam, Owen, and Ella. Victoria commented, \"If Ella is a knight then Penelope is a knave\". Matthew noted, \"Ella is a knight or Liam is a knight\". Avery said that Owen is a knave and Liam is a knave. Penelope remarked, \"Liam is a knight or Avery is a knight\". Liam expressed that Victoria is a knight and Owen is a knave. Owen said, \"Victoria is a knave and Owen is a knight.\" In a statement by Ella: \"Penelope is a knight and Owen is a knight\". So who is a knight and who is a knave?", "names": ["Victoria", "Matthew", "Avery", "Penelope", "Liam", "Owen", "Ella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true, true, false, false], "solution_text": "Victoria is a knight, Matthew is a knight, Avery is a knave, Penelope is a knight, Liam is a knight, Owen is a knave, and Ella is a knave.", "solution_text_format": "(1) Victoria is a knight\n(2) Matthew is a knight\n(3) Avery is a knave\n(4) Penelope is a knight\n(5) Liam is a knight\n(6) Owen is a knave\n(7) Ella is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Victoria is a knight. No contradiction is found in their claim that If Ella is a knight then Penelope is a knave.", "Assume Ella is a knight. No contradiction is found in their claim that Penelope is a knight and Owen is a knight.", "Penelope cannot be a knight, because this would contradict the claim of Victoria that If Ella is a knight then Penelope is a knave.", "Penelope cannot be a knave, because this would contradict the claim of Ella that Penelope is a knight and Owen is a knight.", "We have exhausted all possibilities for Penelope, so let us go back and reconsider Ella.", "Assume Ella is a knave. No contradiction is found in their false claim that Penelope is a knight and Owen is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that Liam is a knight or Avery is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that Victoria is a knight and Owen is a knave.", "Owen cannot be a knight, because this would contradict the claim of Liam that Victoria is a knight and Owen is a knave.", "Assume Owen is a knave. No contradiction is found in their false claim that Victoria is a knave and Owen is a knight.", "Avery cannot be a knight, because this would contradict the claim of their own that Owen is a knave and Liam is a knave.", "Assume Avery is a knave. No contradiction is found in their false claim that Owen is a knave and Liam is a knave.", "Assume Matthew is a knight. No contradiction is found in their claim that Ella is a knight or Liam is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 6), ('lying', 3)), ('or', ('telling-truth', 6), ('telling-truth', 4)), ('and', ('lying', 5), ('lying', 4)), ('or', ('telling-truth', 4), ('telling-truth', 2)), ('and', ('telling-truth', 0), ('lying', 5)), ('and', ('lying', 0), ('telling-truth', 5)), ('and', ('telling-truth', 3), ('telling-truth', 5)))", "index": 972}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: David, Charlotte, Sebastian, Elizabeth, Ella, Riley, and Scarlett. David told you that David is a knight and Elizabeth is a knight. Charlotte said that Scarlett is not a knight. Sebastian noted, \"Charlotte is not a knight\". Elizabeth remarked, \"David is a knave and Riley is a knave\". Ella asserted: \"If Scarlett is a knight then David is a knight\". \"David is not a knave,\" Riley claimed. \"If David is a knight then Charlotte is a knave\" - Scarlett. So who is a knight and who is a knave?", "names": ["David", "Charlotte", "Sebastian", "Elizabeth", "Ella", "Riley", "Scarlett"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true, false, false, true], "solution_text": "David is a knave, Charlotte is a knave, Sebastian is a knight, Elizabeth is a knight, Ella is a knave, Riley is a knave, and Scarlett is a knight.", "solution_text_format": "(1) David is a knave\n(2) Charlotte is a knave\n(3) Sebastian is a knight\n(4) Elizabeth is a knight\n(5) Ella is a knave\n(6) Riley is a knave\n(7) Scarlett is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume David is a knight. No contradiction is found in their claim that David is a knight and Elizabeth is a knight.", "Elizabeth cannot be a knight, because this would contradict the claim of their own that David is a knave and Riley is a knave.", "Elizabeth cannot be a knave, because this would contradict the claim of David that David is a knight and Elizabeth is a knight.", "We have exhausted all possibilities for Elizabeth, so let us go back and reconsider David.", "Assume David is a knave. No contradiction is found in their false claim that David is a knight and Elizabeth is a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that David is a knave and Riley is a knave.", "Riley cannot be a knight, because this would contradict the claim of Elizabeth that David is a knave and Riley is a knave.", "Assume Riley is a knave. No contradiction is found in their false claim that David is not a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that Scarlett is not a knight.", "Scarlett cannot be a knight, because this would contradict the claim of Charlotte that Scarlett is not a knight.", "Scarlett cannot be a knave, because this would contradict the false claim of their own that If David is a knight then Charlotte is a knave.", "We have exhausted all possibilities for Scarlett, so let us go back and reconsider Charlotte.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Scarlett is not a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that If David is a knight then Charlotte is a knave.", "Assume Sebastian is a knight. No contradiction is found in their claim that Charlotte is not a knight.", "Ella cannot be a knight, because this would contradict the claim of their own that If Scarlett is a knight then David is a knight.", "Assume Ella is a knave. No contradiction is found in their false claim that If Scarlett is a knight then David is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 0), ('telling-truth', 3)), ('not', ('telling-truth', 6)), ('not', ('telling-truth', 1)), ('and', ('lying', 0), ('lying', 5)), ('->', ('telling-truth', 6), ('telling-truth', 0)), ('not', ('lying', 0)), ('->', ('telling-truth', 0), ('lying', 1)))", "index": 973}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: James, Lucas, Daniel, Aiden, Owen, Sophia, and Logan. James commented, \"Owen is a knight if and only if Sophia is a knight\". \"Daniel is a knave if and only if Aiden is a knight,\" Lucas claimed. Daniel noted, \"Owen is a knave and James is a knave\". As Aiden put it, \"If Lucas is a knight then Daniel is a knight\". Owen commented, \"Lucas is a knight\". Sophia said, \"Lucas is a knight if and only if James is a knight.\" Logan told you that Sophia is a knight or Daniel is a knave. So who is a knight and who is a knave?", "names": ["James", "Lucas", "Daniel", "Aiden", "Owen", "Sophia", "Logan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true, false, true, true], "solution_text": "James is a knave, Lucas is a knave, Daniel is a knight, Aiden is a knight, Owen is a knave, Sophia is a knight, and Logan is a knight.", "solution_text_format": "(1) James is a knave\n(2) Lucas is a knave\n(3) Daniel is a knight\n(4) Aiden is a knight\n(5) Owen is a knave\n(6) Sophia is a knight\n(7) Logan is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume James is a knight. No contradiction is found in their claim that Owen is a knight if and only if Sophia is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that Lucas is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that Daniel is a knave if and only if Aiden is a knight.", "Daniel cannot be a knight, because this would contradict the claim of their own that Owen is a knave and James is a knave.", "Assume Daniel is a knave. No contradiction is found in their false claim that Owen is a knave and James is a knave.", "Aiden cannot be a knight, because this would contradict the claim of their own that If Lucas is a knight then Daniel is a knight.", "Aiden cannot be a knave, because this would contradict the claim of Lucas that Daniel is a knave if and only if Aiden is a knight.", "We have exhausted all possibilities for Aiden and Daniel, so let us go back and reconsider Lucas.", "Lucas cannot be a knave, because this would contradict the claim of Owen that Lucas is a knight.", "We have exhausted all possibilities for Lucas, so let us go back and reconsider Owen.", "Assume Owen is a knave. No contradiction is found in their false claim that Lucas is a knight.", "Lucas cannot be a knight, because this would contradict the false claim of Owen that Lucas is a knight.", "Assume Lucas is a knave. No contradiction is found in their false claim that Daniel is a knave if and only if Aiden is a knight.", "Daniel cannot be a knight, because this would contradict the claim of their own that Owen is a knave and James is a knave.", "Assume Daniel is a knave. No contradiction is found in their false claim that Owen is a knave and James is a knave.", "Aiden cannot be a knight, because this would contradict the false claim of Lucas that Daniel is a knave if and only if Aiden is a knight.", "Aiden cannot be a knave, because this would contradict the false claim of their own that If Lucas is a knight then Daniel is a knight.", "We have exhausted all possibilities for Aiden, Daniel, Lucas, and Owen, so let us go back and reconsider James.", "Assume James is a knave. No contradiction is found in their false claim that Owen is a knight if and only if Sophia is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that Lucas is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that Daniel is a knave if and only if Aiden is a knight.", "Daniel cannot be a knight, because this would contradict the claim of their own that Owen is a knave and James is a knave.", "Assume Daniel is a knave. No contradiction is found in their false claim that Owen is a knave and James is a knave.", "Aiden cannot be a knight, because this would contradict the claim of their own that If Lucas is a knight then Daniel is a knight.", "Aiden cannot be a knave, because this would contradict the claim of Lucas that Daniel is a knave if and only if Aiden is a knight.", "We have exhausted all possibilities for Aiden and Daniel, so let us go back and reconsider Lucas.", "Lucas cannot be a knave, because this would contradict the claim of Owen that Lucas is a knight.", "We have exhausted all possibilities for Lucas, so let us go back and reconsider Owen.", "Assume Owen is a knave. No contradiction is found in their false claim that Lucas is a knight.", "Lucas cannot be a knight, because this would contradict the false claim of Owen that Lucas is a knight.", "Assume Lucas is a knave. No contradiction is found in their false claim that Daniel is a knave if and only if Aiden is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that Owen is a knave and James is a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that If Lucas is a knight then Daniel is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that Lucas is a knight if and only if James is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that Sophia is a knight or Daniel is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 4), ('telling-truth', 5)), ('<=>', ('lying', 2), ('telling-truth', 3)), ('and', ('lying', 4), ('lying', 0)), ('->', ('telling-truth', 1), ('telling-truth', 2)), ('telling-truth', 1), ('<=>', ('telling-truth', 1), ('telling-truth', 0)), ('or', ('telling-truth', 5), ('lying', 2)))", "index": 974}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Luke, Olivia, Harper, Jackson, Amelia, Noah, and Mia. \"Jackson is a knave\" - Luke. Olivia stated, \"If Harper is a knave then Jackson is a knave\". \"Olivia is not a knight,\" Harper mentioned. Jackson expressed that Harper is a knave if and only if Jackson is a knight. Amelia said that Jackson is a knave and Noah is a knight. According to Noah, \"Mia is not a knight\". \"Olivia is a knight,\" Mia declared. So who is a knight and who is a knave?", "names": ["Luke", "Olivia", "Harper", "Jackson", "Amelia", "Noah", "Mia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false, false, false, true], "solution_text": "Luke is a knight, Olivia is a knight, Harper is a knave, Jackson is a knave, Amelia is a knave, Noah is a knave, and Mia is a knight.", "solution_text_format": "(1) Luke is a knight\n(2) Olivia is a knight\n(3) Harper is a knave\n(4) Jackson is a knave\n(5) Amelia is a knave\n(6) Noah is a knave\n(7) Mia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Luke is a knight. No contradiction is found in their claim that Jackson is a knave.", "Jackson cannot be a knight, because this would contradict the claim of Luke that Jackson is a knave.", "Assume Jackson is a knave. No contradiction is found in their false claim that Harper is a knave if and only if Jackson is a knight.", "Harper cannot be a knight, because this would contradict the false claim of Jackson that Harper is a knave if and only if Jackson is a knight.", "Assume Harper is a knave. No contradiction is found in their false claim that Olivia is not a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that If Harper is a knave then Jackson is a knave.", "Assume Amelia is a knight. No contradiction is found in their claim that Jackson is a knave and Noah is a knight.", "Assume Noah is a knight. No contradiction is found in their claim that Mia is not a knight.", "Mia cannot be a knight, because this would contradict the claim of Noah that Mia is not a knight.", "Mia cannot be a knave, because this would contradict the false claim of their own that Olivia is a knight.", "We have exhausted all possibilities for Mia, so let us go back and reconsider Noah.", "Noah cannot be a knave, because this would contradict the claim of Amelia that Jackson is a knave and Noah is a knight.", "We have exhausted all possibilities for Noah, so let us go back and reconsider Amelia.", "Assume Amelia is a knave. No contradiction is found in their false claim that Jackson is a knave and Noah is a knight.", "Noah cannot be a knight, because this would contradict the false claim of Amelia that Jackson is a knave and Noah is a knight.", "Assume Noah is a knave. No contradiction is found in their false claim that Mia is not a knight.", "Assume Mia is a knight. No contradiction is found in their claim that Olivia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 3), ('->', ('lying', 2), ('lying', 3)), ('not', ('telling-truth', 1)), ('<=>', ('lying', 2), ('telling-truth', 3)), ('and', ('lying', 3), ('telling-truth', 5)), ('not', ('telling-truth', 6)), ('telling-truth', 1))", "index": 975}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Evelyn, Aiden, Sebastian, Isabella, Chloe, Luke, and Mia. Evelyn noted, \"If Luke is a knight then Luke is a knave\". Aiden commented, \"Aiden is a knight if and only if Mia is a knave\". Sebastian was heard saying, \"Chloe is a knight or Chloe is a knave\". Isabella stated, \"Evelyn is a knight if and only if Mia is a knave\". Chloe asserted: \"Aiden is a knave or Mia is a knight\". Luke told you that Aiden is a knave. According to Mia, \"If Sebastian is a knight then Aiden is a knave\". So who is a knight and who is a knave?", "names": ["Evelyn", "Aiden", "Sebastian", "Isabella", "Chloe", "Luke", "Mia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, false, false, false], "solution_text": "Evelyn is a knight, Aiden is a knight, Sebastian is a knight, Isabella is a knight, Chloe is a knave, Luke is a knave, and Mia is a knave.", "solution_text_format": "(1) Evelyn is a knight\n(2) Aiden is a knight\n(3) Sebastian is a knight\n(4) Isabella is a knight\n(5) Chloe is a knave\n(6) Luke is a knave\n(7) Mia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Evelyn is a knight. No contradiction is found in their claim that If Luke is a knight then Luke is a knave.", "Luke cannot be a knight, because this would contradict the claim of Evelyn that If Luke is a knight then Luke is a knave.", "Assume Luke is a knave. No contradiction is found in their false claim that Aiden is a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that Aiden is a knight if and only if Mia is a knave.", "Mia cannot be a knight, because this would contradict the claim of Aiden that Aiden is a knight if and only if Mia is a knave.", "Assume Mia is a knave. No contradiction is found in their false claim that If Sebastian is a knight then Aiden is a knave.", "Assume Sebastian is a knight. No contradiction is found in their claim that Chloe is a knight or Chloe is a knave.", "Chloe cannot be a knight, because this would contradict the claim of their own that Aiden is a knave or Mia is a knight.", "Assume Chloe is a knave. No contradiction is found in their false claim that Aiden is a knave or Mia is a knight.", "Assume Isabella is a knight. No contradiction is found in their claim that Evelyn is a knight if and only if Mia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 5), ('lying', 5)), ('<=>', ('telling-truth', 1), ('lying', 6)), ('or', ('telling-truth', 4), ('lying', 4)), ('<=>', ('telling-truth', 0), ('lying', 6)), ('or', ('lying', 1), ('telling-truth', 6)), ('lying', 1), ('->', ('telling-truth', 2), ('lying', 1)))", "index": 976}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Jack, Olivia, Aiden, Logan, Noah, Emma, and Jackson. Jack said that Emma is a knight and Olivia is a knight. Olivia noted, \"Logan is a knave if and only if Noah is a knight\". Aiden expressed that Logan is a knight. Logan remarked, \"Olivia is a knight if and only if Jack is a knight\". According to Noah, \"Jackson is not a knight\". Emma told you that Noah is a knave if and only if Olivia is a knave. \"Olivia is not a knave,\" Jackson declared. So who is a knight and who is a knave?", "names": ["Jack", "Olivia", "Aiden", "Logan", "Noah", "Emma", "Jackson"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true, true, false, false], "solution_text": "Jack is a knave, Olivia is a knave, Aiden is a knight, Logan is a knight, Noah is a knight, Emma is a knave, and Jackson is a knave.", "solution_text_format": "(1) Jack is a knave\n(2) Olivia is a knave\n(3) Aiden is a knight\n(4) Logan is a knight\n(5) Noah is a knight\n(6) Emma is a knave\n(7) Jackson is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jack is a knight. No contradiction is found in their claim that Emma is a knight and Olivia is a knight.", "Assume Emma is a knight. No contradiction is found in their claim that Noah is a knave if and only if Olivia is a knave.", "Assume Noah is a knight. No contradiction is found in their claim that Jackson is not a knight.", "Jackson cannot be a knight, because this would contradict the claim of Noah that Jackson is not a knight.", "Assume Jackson is a knave. No contradiction is found in their false claim that Olivia is not a knave.", "Olivia cannot be a knight, because this would contradict the false claim of Jackson that Olivia is not a knave.", "Olivia cannot be a knave, because this would contradict the claim of Jack that Emma is a knight and Olivia is a knight.", "We have exhausted all possibilities for Olivia and Jackson, so let us go back and reconsider Noah.", "Assume Noah is a knave. No contradiction is found in their false claim that Jackson is not a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that Olivia is not a knave.", "Olivia cannot be a knight, because this would contradict the claim of Emma that Noah is a knave if and only if Olivia is a knave.", "Olivia cannot be a knave, because this would contradict the claim of Jack that Emma is a knight and Olivia is a knight.", "We have exhausted all possibilities for Olivia, so let us go back and reconsider Jackson.", "Jackson cannot be a knave, because this would contradict the false claim of Noah that Jackson is not a knight.", "We have exhausted all possibilities for Jackson and Noah, so let us go back and reconsider Emma.", "Emma cannot be a knave, because this would contradict the claim of Jack that Emma is a knight and Olivia is a knight.", "We have exhausted all possibilities for Emma, so let us go back and reconsider Jack.", "Assume Jack is a knave. No contradiction is found in their false claim that Emma is a knight and Olivia is a knight.", "Assume Emma is a knight. No contradiction is found in their claim that Noah is a knave if and only if Olivia is a knave.", "Assume Noah is a knight. No contradiction is found in their claim that Jackson is not a knight.", "Jackson cannot be a knight, because this would contradict the claim of Noah that Jackson is not a knight.", "Assume Jackson is a knave. No contradiction is found in their false claim that Olivia is not a knave.", "Olivia cannot be a knight, because this would contradict the false claim of Jack that Emma is a knight and Olivia is a knight.", "Olivia cannot be a knave, because this would contradict the claim of Emma that Noah is a knave if and only if Olivia is a knave.", "We have exhausted all possibilities for Olivia and Jackson, so let us go back and reconsider Noah.", "Assume Noah is a knave. No contradiction is found in their false claim that Jackson is not a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that Olivia is not a knave.", "Olivia cannot be a knight, because this would contradict the false claim of Jack that Emma is a knight and Olivia is a knight.", "Olivia cannot be a knave, because this would contradict the claim of Jackson that Olivia is not a knave.", "We have exhausted all possibilities for Olivia, so let us go back and reconsider Jackson.", "Jackson cannot be a knave, because this would contradict the false claim of Noah that Jackson is not a knight.", "We have exhausted all possibilities for Jackson and Noah, so let us go back and reconsider Emma.", "Assume Emma is a knave. No contradiction is found in their false claim that Noah is a knave if and only if Olivia is a knave.", "Assume Noah is a knight. No contradiction is found in their claim that Jackson is not a knight.", "Jackson cannot be a knight, because this would contradict the claim of Noah that Jackson is not a knight.", "Assume Jackson is a knave. No contradiction is found in their false claim that Olivia is not a knave.", "Olivia cannot be a knight, because this would contradict the false claim of Emma that Noah is a knave if and only if Olivia is a knave.", "Assume Olivia is a knave. No contradiction is found in their false claim that Logan is a knave if and only if Noah is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that Olivia is a knight if and only if Jack is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that Logan is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 5), ('telling-truth', 1)), ('<=>', ('lying', 3), ('telling-truth', 4)), ('telling-truth', 3), ('<=>', ('telling-truth', 1), ('telling-truth', 0)), ('not', ('telling-truth', 6)), ('<=>', ('lying', 4), ('lying', 1)), ('not', ('lying', 1)))", "index": 977}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Emma, Daniel, Evelyn, Matthew, Ella, Noah, and Owen. \"Matthew is a knight,\" Emma mentioned. \"Evelyn is a knave if and only if Daniel is a knight,\" Daniel declared. Evelyn was heard saying, \"Daniel is a knight or Emma is a knave\". Matthew said that If Evelyn is a knave then Noah is a knave. Ella told you that Emma is a knight if and only if Noah is a knight. As Noah put it, \"Evelyn is a knight\". Owen told you that Emma is a knave or Ella is a knave. So who is a knight and who is a knave?", "names": ["Emma", "Daniel", "Evelyn", "Matthew", "Ella", "Noah", "Owen"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, false, false, true], "solution_text": "Emma is a knight, Daniel is a knave, Evelyn is a knave, Matthew is a knight, Ella is a knave, Noah is a knave, and Owen is a knight.", "solution_text_format": "(1) Emma is a knight\n(2) Daniel is a knave\n(3) Evelyn is a knave\n(4) Matthew is a knight\n(5) Ella is a knave\n(6) Noah is a knave\n(7) Owen is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Emma is a knight. No contradiction is found in their claim that Matthew is a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that If Evelyn is a knave then Noah is a knave.", "Assume Evelyn is a knight. No contradiction is found in their claim that Daniel is a knight or Emma is a knave.", "Daniel cannot be a knight, because this would contradict the claim of their own that Evelyn is a knave if and only if Daniel is a knight.", "Daniel cannot be a knave, because this would contradict the false claim of their own that Evelyn is a knave if and only if Daniel is a knight.", "We have exhausted all possibilities for Daniel, so let us go back and reconsider Evelyn.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Daniel is a knight or Emma is a knave.", "Daniel cannot be a knight, because this would contradict the false claim of Evelyn that Daniel is a knight or Emma is a knave.", "Assume Daniel is a knave. No contradiction is found in their false claim that Evelyn is a knave if and only if Daniel is a knight.", "Noah cannot be a knight, because this would contradict the claim of Matthew that If Evelyn is a knave then Noah is a knave.", "Assume Noah is a knave. No contradiction is found in their false claim that Evelyn is a knight.", "Ella cannot be a knight, because this would contradict the claim of their own that Emma is a knight if and only if Noah is a knight.", "Assume Ella is a knave. No contradiction is found in their false claim that Emma is a knight if and only if Noah is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that Emma is a knave or Ella is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 3), ('<=>', ('lying', 2), ('telling-truth', 1)), ('or', ('telling-truth', 1), ('lying', 0)), ('->', ('lying', 2), ('lying', 5)), ('<=>', ('telling-truth', 0), ('telling-truth', 5)), ('telling-truth', 2), ('or', ('lying', 0), ('lying', 4)))", "index": 978}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Scarlett, Emma, Riley, Samuel, Emily, Evelyn, and Matthew. In a statement by Scarlett: \"Evelyn is not a knave\". Emma noted, \"Evelyn is a knight\". In Riley's words: \"Matthew is a knave and Scarlett is a knight\". \"Riley is a knight or Samuel is a knight,\" Samuel mentioned. Emily stated, \"Riley is a knight if and only if Samuel is a knight\". Evelyn said that If Scarlett is a knave then Riley is a knave. Matthew was heard saying, \"Riley is a knight or Emily is a knave\". So who is a knight and who is a knave?", "names": ["Scarlett", "Emma", "Riley", "Samuel", "Emily", "Evelyn", "Matthew"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true, false, true, true], "solution_text": "Scarlett is a knight, Emma is a knight, Riley is a knave, Samuel is a knight, Emily is a knave, Evelyn is a knight, and Matthew is a knight.", "solution_text_format": "(1) Scarlett is a knight\n(2) Emma is a knight\n(3) Riley is a knave\n(4) Samuel is a knight\n(5) Emily is a knave\n(6) Evelyn is a knight\n(7) Matthew is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Scarlett is a knight. No contradiction is found in their claim that Evelyn is not a knave.", "Assume Evelyn is a knight. No contradiction is found in their claim that If Scarlett is a knave then Riley is a knave.", "Assume Riley is a knight. No contradiction is found in their claim that Matthew is a knave and Scarlett is a knight.", "Matthew cannot be a knight, because this would contradict the claim of Riley that Matthew is a knave and Scarlett is a knight.", "Matthew cannot be a knave, because this would contradict the false claim of their own that Riley is a knight or Emily is a knave.", "We have exhausted all possibilities for Matthew, so let us go back and reconsider Riley.", "Assume Riley is a knave. No contradiction is found in their false claim that Matthew is a knave and Scarlett is a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that Riley is a knight or Emily is a knave.", "Emily cannot be a knight, because this would contradict the claim of Matthew that Riley is a knight or Emily is a knave.", "Assume Emily is a knave. No contradiction is found in their false claim that Riley is a knight if and only if Samuel is a knight.", "Assume Samuel is a knight. No contradiction is found in their claim that Riley is a knight or Samuel is a knight.", "Assume Emma is a knight. No contradiction is found in their claim that Evelyn is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 5)), ('telling-truth', 5), ('and', ('lying', 6), ('telling-truth', 0)), ('or', ('telling-truth', 2), ('telling-truth', 3)), ('<=>', ('telling-truth', 2), ('telling-truth', 3)), ('->', ('lying', 0), ('lying', 2)), ('or', ('telling-truth', 2), ('lying', 4)))", "index": 979}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Mason, Ava, Lucas, Ethan, Aria, Benjamin, and Chloe. Mason remarked, \"Lucas is a knave or Benjamin is a knight\". Ava said, \"Benjamin is not a knave.\" In Lucas's words: \"Aria is not a knave\". Ethan noted, \"Benjamin is not a knave\". Aria remarked, \"Chloe is a knave if and only if Benjamin is a knight\". In Benjamin's words: \"Mason is a knight and Ava is a knave\". Chloe asserted: \"If Ethan is a knave then Benjamin is a knave\". So who is a knight and who is a knave?", "names": ["Mason", "Ava", "Lucas", "Ethan", "Aria", "Benjamin", "Chloe"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false, true, false, true], "solution_text": "Mason is a knave, Ava is a knave, Lucas is a knight, Ethan is a knave, Aria is a knight, Benjamin is a knave, and Chloe is a knight.", "solution_text_format": "(1) Mason is a knave\n(2) Ava is a knave\n(3) Lucas is a knight\n(4) Ethan is a knave\n(5) Aria is a knight\n(6) Benjamin is a knave\n(7) Chloe is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Mason is a knight. No contradiction is found in their claim that Lucas is a knave or Benjamin is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that Aria is not a knave.", "Assume Aria is a knight. No contradiction is found in their claim that Chloe is a knave if and only if Benjamin is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that If Ethan is a knave then Benjamin is a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that Benjamin is not a knave.", "Benjamin cannot be a knight, because this would contradict the claim of Aria that Chloe is a knave if and only if Benjamin is a knight.", "Benjamin cannot be a knave, because this would contradict the claim of Mason that Lucas is a knave or Benjamin is a knight.", "We have exhausted all possibilities for Benjamin, so let us go back and reconsider Ethan.", "Assume Ethan is a knave. No contradiction is found in their false claim that Benjamin is not a knave.", "Benjamin cannot be a knight, because this would contradict the false claim of Ethan that Benjamin is not a knave.", "Benjamin cannot be a knave, because this would contradict the claim of Mason that Lucas is a knave or Benjamin is a knight.", "We have exhausted all possibilities for Benjamin and Ethan, so let us go back and reconsider Chloe.", "Assume Chloe is a knave. No contradiction is found in their false claim that If Ethan is a knave then Benjamin is a knave.", "Ethan cannot be a knight, because this would contradict the false claim of Chloe that If Ethan is a knave then Benjamin is a knave.", "Assume Ethan is a knave. No contradiction is found in their false claim that Benjamin is not a knave.", "Benjamin cannot be a knight, because this would contradict the false claim of Ethan that Benjamin is not a knave.", "Benjamin cannot be a knave, because this would contradict the claim of Mason that Lucas is a knave or Benjamin is a knight.", "We have exhausted all possibilities for Benjamin, Ethan, and Chloe, so let us go back and reconsider Aria.", "Aria cannot be a knave, because this would contradict the claim of Lucas that Aria is not a knave.", "We have exhausted all possibilities for Aria, so let us go back and reconsider Lucas.", "Assume Lucas is a knave. No contradiction is found in their false claim that Aria is not a knave.", "Aria cannot be a knight, because this would contradict the false claim of Lucas that Aria is not a knave.", "Assume Aria is a knave. No contradiction is found in their false claim that Chloe is a knave if and only if Benjamin is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that If Ethan is a knave then Benjamin is a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that Benjamin is not a knave.", "Assume Benjamin is a knight. No contradiction is found in their claim that Mason is a knight and Ava is a knave.", "Ava cannot be a knight, because this would contradict the claim of Benjamin that Mason is a knight and Ava is a knave.", "Ava cannot be a knave, because this would contradict the false claim of their own that Benjamin is not a knave.", "We have exhausted all possibilities for Ava, so let us go back and reconsider Benjamin.", "Benjamin cannot be a knave, because this would contradict the claim of Ethan that Benjamin is not a knave.", "We have exhausted all possibilities for Benjamin, so let us go back and reconsider Ethan.", "Assume Ethan is a knave. No contradiction is found in their false claim that Benjamin is not a knave.", "Benjamin cannot be a knight, because this would contradict the false claim of Ethan that Benjamin is not a knave.", "Benjamin cannot be a knave, because this would contradict the false claim of Aria that Chloe is a knave if and only if Benjamin is a knight.", "We have exhausted all possibilities for Benjamin and Ethan, so let us go back and reconsider Chloe.", "Assume Chloe is a knave. No contradiction is found in their false claim that If Ethan is a knave then Benjamin is a knave.", "Ethan cannot be a knight, because this would contradict the false claim of Chloe that If Ethan is a knave then Benjamin is a knave.", "Assume Ethan is a knave. No contradiction is found in their false claim that Benjamin is not a knave.", "Benjamin cannot be a knight, because this would contradict the false claim of Ethan that Benjamin is not a knave.", "Benjamin cannot be a knave, because this would contradict the false claim of Chloe that If Ethan is a knave then Benjamin is a knave.", "We have exhausted all possibilities for Benjamin, Ethan, Chloe, Aria, and Lucas, so let us go back and reconsider Mason.", "Assume Mason is a knave. No contradiction is found in their false claim that Lucas is a knave or Benjamin is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that Aria is not a knave.", "Assume Aria is a knight. No contradiction is found in their claim that Chloe is a knave if and only if Benjamin is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that If Ethan is a knave then Benjamin is a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that Benjamin is not a knave.", "Benjamin cannot be a knight, because this would contradict the false claim of Mason that Lucas is a knave or Benjamin is a knight.", "Benjamin cannot be a knave, because this would contradict the claim of Ethan that Benjamin is not a knave.", "We have exhausted all possibilities for Benjamin, so let us go back and reconsider Ethan.", "Assume Ethan is a knave. No contradiction is found in their false claim that Benjamin is not a knave.", "Benjamin cannot be a knight, because this would contradict the false claim of Mason that Lucas is a knave or Benjamin is a knight.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Mason is a knight and Ava is a knave.", "Ava cannot be a knight, because this would contradict the claim of their own that Benjamin is not a knave.", "Assume Ava is a knave. No contradiction is found in their false claim that Benjamin is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 2), ('telling-truth', 5)), ('not', ('lying', 5)), ('not', ('lying', 4)), ('not', ('lying', 5)), ('<=>', ('lying', 6), ('telling-truth', 5)), ('and', ('telling-truth', 0), ('lying', 1)), ('->', ('lying', 3), ('lying', 5)))", "index": 980}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Ava, Lucas, Jack, Lily, Aiden, Jacob, and Matthew. \"Jacob is a knight or Aiden is a knight,\" Ava claimed. Lucas remarked, \"Ava is not a knave\". Jack commented, \"Jacob is a knight and Jacob is a knave\". Lily was heard saying, \"Jacob is a knave if and only if Ava is a knave\". \"Lily is a knave if and only if Ava is a knave,\" Aiden declared. Jacob was heard saying, \"If Aiden is a knight then Lily is a knight\". In a statement by Matthew: \"If Matthew is a knight then Lucas is a knight\". So who is a knight and who is a knave?", "names": ["Ava", "Lucas", "Jack", "Lily", "Aiden", "Jacob", "Matthew"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true, true, true, true], "solution_text": "Ava is a knight, Lucas is a knight, Jack is a knave, Lily is a knight, Aiden is a knight, Jacob is a knight, and Matthew is a knight.", "solution_text_format": "(1) Ava is a knight\n(2) Lucas is a knight\n(3) Jack is a knave\n(4) Lily is a knight\n(5) Aiden is a knight\n(6) Jacob is a knight\n(7) Matthew is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ava is a knight. No contradiction is found in their claim that Jacob is a knight or Aiden is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that If Aiden is a knight then Lily is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that Lily is a knave if and only if Ava is a knave.", "Assume Lily is a knight. No contradiction is found in their claim that Jacob is a knave if and only if Ava is a knave.", "Assume Lucas is a knight. No contradiction is found in their claim that Ava is not a knave.", "Jack cannot be a knight, because this would contradict the claim of their own that Jacob is a knight and Jacob is a knave.", "Assume Jack is a knave. No contradiction is found in their false claim that Jacob is a knight and Jacob is a knave.", "Assume Matthew is a knight. No contradiction is found in their claim that If Matthew is a knight then Lucas is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 5), ('telling-truth', 4)), ('not', ('lying', 0)), ('and', ('telling-truth', 5), ('lying', 5)), ('<=>', ('lying', 5), ('lying', 0)), ('<=>', ('lying', 3), ('lying', 0)), ('->', ('telling-truth', 4), ('telling-truth', 3)), ('->', ('telling-truth', 6), ('telling-truth', 1)))", "index": 981}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Abigail, James, Samuel, Luke, Joseph, Aiden, and Logan. \"Luke is a knave and Logan is a knave,\" Abigail claimed. In a statement by James: \"If Samuel is a knight then Abigail is a knave\". Samuel said, \"If Aiden is a knave then Luke is a knave.\" \"Joseph is a knave and Joseph is a knight,\" Luke mentioned. Joseph said, \"Aiden is a knight if and only if Samuel is a knight.\" Aiden asserted: \"If Abigail is a knight then Samuel is a knight\". Logan said that Samuel is a knight or Samuel is a knave. So who is a knight and who is a knave?", "names": ["Abigail", "James", "Samuel", "Luke", "Joseph", "Aiden", "Logan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false, true, true, true], "solution_text": "Abigail is a knave, James is a knight, Samuel is a knight, Luke is a knave, Joseph is a knight, Aiden is a knight, and Logan is a knight.", "solution_text_format": "(1) Abigail is a knave\n(2) James is a knight\n(3) Samuel is a knight\n(4) Luke is a knave\n(5) Joseph is a knight\n(6) Aiden is a knight\n(7) Logan is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Abigail is a knight. No contradiction is found in their claim that Luke is a knave and Logan is a knave.", "Luke cannot be a knight, because this would contradict the claim of Abigail that Luke is a knave and Logan is a knave.", "Assume Luke is a knave. No contradiction is found in their false claim that Joseph is a knave and Joseph is a knight.", "Assume Joseph is a knight. No contradiction is found in their claim that Aiden is a knight if and only if Samuel is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that If Abigail is a knight then Samuel is a knight.", "Assume Samuel is a knight. No contradiction is found in their claim that If Aiden is a knave then Luke is a knave.", "Logan cannot be a knight, because this would contradict the claim of Abigail that Luke is a knave and Logan is a knave.", "Logan cannot be a knave, because this would contradict the false claim of their own that Samuel is a knight or Samuel is a knave.", "We have exhausted all possibilities for Logan, so let us go back and reconsider Samuel.", "Samuel cannot be a knave, because this would contradict the false claim of their own that If Aiden is a knave then Luke is a knave.", "We have exhausted all possibilities for Samuel, so let us go back and reconsider Aiden.", "Assume Aiden is a knave. No contradiction is found in their false claim that If Abigail is a knight then Samuel is a knight.", "Samuel cannot be a knight, because this would contradict the claim of Joseph that Aiden is a knight if and only if Samuel is a knight.", "Samuel cannot be a knave, because this would contradict the false claim of their own that If Aiden is a knave then Luke is a knave.", "We have exhausted all possibilities for Samuel and Aiden, so let us go back and reconsider Joseph.", "Assume Joseph is a knave. No contradiction is found in their false claim that Aiden is a knight if and only if Samuel is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that If Abigail is a knight then Samuel is a knight.", "Samuel cannot be a knight, because this would contradict the false claim of Joseph that Aiden is a knight if and only if Samuel is a knight.", "Samuel cannot be a knave, because this would contradict the false claim of their own that If Aiden is a knave then Luke is a knave.", "We have exhausted all possibilities for Samuel, so let us go back and reconsider Aiden.", "Assume Aiden is a knave. No contradiction is found in their false claim that If Abigail is a knight then Samuel is a knight.", "Samuel cannot be a knight, because this would contradict the false claim of Aiden that If Abigail is a knight then Samuel is a knight.", "Samuel cannot be a knave, because this would contradict the false claim of their own that If Aiden is a knave then Luke is a knave.", "We have exhausted all possibilities for Samuel, Aiden, Joseph, and Luke, so let us go back and reconsider Abigail.", "Assume Abigail is a knave. No contradiction is found in their false claim that Luke is a knave and Logan is a knave.", "Luke cannot be a knight, because this would contradict the claim of their own that Joseph is a knave and Joseph is a knight.", "Assume Luke is a knave. No contradiction is found in their false claim that Joseph is a knave and Joseph is a knight.", "Assume Joseph is a knight. No contradiction is found in their claim that Aiden is a knight if and only if Samuel is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that If Abigail is a knight then Samuel is a knight.", "Assume Samuel is a knight. No contradiction is found in their claim that If Aiden is a knave then Luke is a knave.", "Assume Logan is a knight. No contradiction is found in their claim that Samuel is a knight or Samuel is a knave.", "Assume James is a knight. No contradiction is found in their claim that If Samuel is a knight then Abigail is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 3), ('lying', 6)), ('->', ('telling-truth', 2), ('lying', 0)), ('->', ('lying', 5), ('lying', 3)), ('and', ('lying', 4), ('telling-truth', 4)), ('<=>', ('telling-truth', 5), ('telling-truth', 2)), ('->', ('telling-truth', 0), ('telling-truth', 2)), ('or', ('telling-truth', 2), ('lying', 2)))", "index": 982}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Ethan, Benjamin, Abigail, Oliver, Amelia, Logan, and Evelyn. As Ethan put it, \"If Benjamin is a knave then Logan is a knight\". Benjamin told you that Oliver is a knave if and only if Ethan is a knight. In Abigail's words: \"Amelia is a knave or Oliver is a knave\". According to Oliver, \"Evelyn is a knave or Ethan is a knight\". Amelia said that Logan is not a knight. As Logan put it, \"Benjamin is not a knave\". \"Logan is not a knight,\" Evelyn mentioned. So who is a knight and who is a knave?", "names": ["Ethan", "Benjamin", "Abigail", "Oliver", "Amelia", "Logan", "Evelyn"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false, true, false, true], "solution_text": "Ethan is a knave, Benjamin is a knave, Abigail is a knight, Oliver is a knave, Amelia is a knight, Logan is a knave, and Evelyn is a knight.", "solution_text_format": "(1) Ethan is a knave\n(2) Benjamin is a knave\n(3) Abigail is a knight\n(4) Oliver is a knave\n(5) Amelia is a knight\n(6) Logan is a knave\n(7) Evelyn is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ethan is a knight. No contradiction is found in their claim that If Benjamin is a knave then Logan is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that Oliver is a knave if and only if Ethan is a knight.", "Oliver cannot be a knight, because this would contradict the claim of Benjamin that Oliver is a knave if and only if Ethan is a knight.", "Oliver cannot be a knave, because this would contradict the false claim of their own that Evelyn is a knave or Ethan is a knight.", "We have exhausted all possibilities for Oliver, so let us go back and reconsider Benjamin.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Oliver is a knave if and only if Ethan is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that Evelyn is a knave or Ethan is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that Logan is not a knight.", "Logan cannot be a knight, because this would contradict the claim of their own that Benjamin is not a knave.", "Logan cannot be a knave, because this would contradict the claim of Ethan that If Benjamin is a knave then Logan is a knight.", "We have exhausted all possibilities for Logan, so let us go back and reconsider Evelyn.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Logan is not a knight.", "Logan cannot be a knight, because this would contradict the claim of their own that Benjamin is not a knave.", "Logan cannot be a knave, because this would contradict the claim of Ethan that If Benjamin is a knave then Logan is a knight.", "We have exhausted all possibilities for Logan and Evelyn, so let us go back and reconsider Oliver.", "Oliver cannot be a knave, because this would contradict the false claim of Benjamin that Oliver is a knave if and only if Ethan is a knight.", "We have exhausted all possibilities for Oliver and Benjamin, so let us go back and reconsider Ethan.", "Assume Ethan is a knave. No contradiction is found in their false claim that If Benjamin is a knave then Logan is a knight.", "Benjamin cannot be a knight, because this would contradict the false claim of Ethan that If Benjamin is a knave then Logan is a knight.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Oliver is a knave if and only if Ethan is a knight.", "Oliver cannot be a knight, because this would contradict the false claim of Benjamin that Oliver is a knave if and only if Ethan is a knight.", "Assume Oliver is a knave. No contradiction is found in their false claim that Evelyn is a knave or Ethan is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that Logan is not a knight.", "Logan cannot be a knight, because this would contradict the false claim of Ethan that If Benjamin is a knave then Logan is a knight.", "Assume Logan is a knave. No contradiction is found in their false claim that Benjamin is not a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that Amelia is a knave or Oliver is a knave.", "Assume Amelia is a knight. No contradiction is found in their claim that Logan is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 1), ('telling-truth', 5)), ('<=>', ('lying', 3), ('telling-truth', 0)), ('or', ('lying', 4), ('lying', 3)), ('or', ('lying', 6), ('telling-truth', 0)), ('not', ('telling-truth', 5)), ('not', ('lying', 1)), ('not', ('telling-truth', 5)))", "index": 983}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Grace, Charlotte, William, Henry, James, Liam, and Owen. \"Charlotte is a knight if and only if James is a knave,\" Grace claimed. In a statement by Charlotte: \"Henry is a knight or James is a knave\". William noted, \"If Grace is a knight then James is a knight\". \"James is a knight,\" Henry claimed. James said that If Henry is a knight then Owen is a knave. \"James is a knave\" - Liam. Owen was heard saying, \"Liam is a knight if and only if William is a knight\". So who is a knight and who is a knave?", "names": ["Grace", "Charlotte", "William", "Henry", "James", "Liam", "Owen"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, true, false, false], "solution_text": "Grace is a knave, Charlotte is a knight, William is a knight, Henry is a knight, James is a knight, Liam is a knave, and Owen is a knave.", "solution_text_format": "(1) Grace is a knave\n(2) Charlotte is a knight\n(3) William is a knight\n(4) Henry is a knight\n(5) James is a knight\n(6) Liam is a knave\n(7) Owen is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Grace is a knight. No contradiction is found in their claim that Charlotte is a knight if and only if James is a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that Henry is a knight or James is a knave.", "Assume Henry is a knight. No contradiction is found in their claim that James is a knight.", "James cannot be a knight, because this would contradict the claim of Grace that Charlotte is a knight if and only if James is a knave.", "James cannot be a knave, because this would contradict the claim of Henry that James is a knight.", "We have exhausted all possibilities for James, so let us go back and reconsider Henry.", "Assume Henry is a knave. No contradiction is found in their false claim that James is a knight.", "James cannot be a knight, because this would contradict the claim of Grace that Charlotte is a knight if and only if James is a knave.", "James cannot be a knave, because this would contradict the false claim of their own that If Henry is a knight then Owen is a knave.", "We have exhausted all possibilities for James and Henry, so let us go back and reconsider Charlotte.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Henry is a knight or James is a knave.", "Henry cannot be a knight, because this would contradict the false claim of Charlotte that Henry is a knight or James is a knave.", "Assume Henry is a knave. No contradiction is found in their false claim that James is a knight.", "James cannot be a knight, because this would contradict the false claim of Henry that James is a knight.", "James cannot be a knave, because this would contradict the claim of Grace that Charlotte is a knight if and only if James is a knave.", "We have exhausted all possibilities for James, Henry, and Charlotte, so let us go back and reconsider Grace.", "Assume Grace is a knave. No contradiction is found in their false claim that Charlotte is a knight if and only if James is a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that Henry is a knight or James is a knave.", "Assume Henry is a knight. No contradiction is found in their claim that James is a knight.", "Assume James is a knight. No contradiction is found in their claim that If Henry is a knight then Owen is a knave.", "Owen cannot be a knight, because this would contradict the claim of James that If Henry is a knight then Owen is a knave.", "Assume Owen is a knave. No contradiction is found in their false claim that Liam is a knight if and only if William is a knight.", "Liam cannot be a knight, because this would contradict the claim of their own that James is a knave.", "Assume Liam is a knave. No contradiction is found in their false claim that James is a knave.", "Assume William is a knight. No contradiction is found in their claim that If Grace is a knight then James is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('lying', 4)), ('or', ('telling-truth', 3), ('lying', 4)), ('->', ('telling-truth', 0), ('telling-truth', 4)), ('telling-truth', 4), ('->', ('telling-truth', 3), ('lying', 6)), ('lying', 4), ('<=>', ('telling-truth', 5), ('telling-truth', 2)))", "index": 984}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Daniel, Logan, Emma, Scarlett, Michael, Henry, and Sebastian. Daniel remarked, \"Emma is a knave\". Logan remarked, \"If Daniel is a knight then Scarlett is a knave\". Emma noted, \"Sebastian is a knight and Daniel is a knight\". \"Emma is a knight or Sebastian is a knight,\" Scarlett mentioned. \"Henry is a knight,\" Michael mentioned. Henry remarked, \"If Emma is a knave then Scarlett is a knight\". \"Scarlett is not a knave,\" Sebastian mentioned. So who is a knight and who is a knave?", "names": ["Daniel", "Logan", "Emma", "Scarlett", "Michael", "Henry", "Sebastian"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false, false, false, false], "solution_text": "Daniel is a knight, Logan is a knight, Emma is a knave, Scarlett is a knave, Michael is a knave, Henry is a knave, and Sebastian is a knave.", "solution_text_format": "(1) Daniel is a knight\n(2) Logan is a knight\n(3) Emma is a knave\n(4) Scarlett is a knave\n(5) Michael is a knave\n(6) Henry is a knave\n(7) Sebastian is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Daniel is a knight. No contradiction is found in their claim that Emma is a knave.", "Emma cannot be a knight, because this would contradict the claim of Daniel that Emma is a knave.", "Assume Emma is a knave. No contradiction is found in their false claim that Sebastian is a knight and Daniel is a knight.", "Sebastian cannot be a knight, because this would contradict the false claim of Emma that Sebastian is a knight and Daniel is a knight.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Scarlett is not a knave.", "Scarlett cannot be a knight, because this would contradict the claim of their own that Emma is a knight or Sebastian is a knight.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Emma is a knight or Sebastian is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that If Daniel is a knight then Scarlett is a knave.", "Assume Michael is a knight. No contradiction is found in their claim that Henry is a knight.", "Henry cannot be a knight, because this would contradict the claim of their own that If Emma is a knave then Scarlett is a knight.", "Henry cannot be a knave, because this would contradict the claim of Michael that Henry is a knight.", "We have exhausted all possibilities for Henry, so let us go back and reconsider Michael.", "Assume Michael is a knave. No contradiction is found in their false claim that Henry is a knight.", "Henry cannot be a knight, because this would contradict the false claim of Michael that Henry is a knight.", "Assume Henry is a knave. No contradiction is found in their false claim that If Emma is a knave then Scarlett is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 2), ('->', ('telling-truth', 0), ('lying', 3)), ('and', ('telling-truth', 6), ('telling-truth', 0)), ('or', ('telling-truth', 2), ('telling-truth', 6)), ('telling-truth', 5), ('->', ('lying', 2), ('telling-truth', 3)), ('not', ('lying', 3)))", "index": 985}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Jack, Owen, Lucas, Jacob, Aria, Noah, and Scarlett. Jack told you that Lucas is a knight. \"Jack is not a knave,\" Owen mentioned. According to Lucas, \"If Owen is a knight then Aria is a knave\". According to Jacob, \"Noah is a knight if and only if Aria is a knight\". In Aria's words: \"If Jacob is a knave then Scarlett is a knight\". According to Noah, \"Owen is not a knave\". As Scarlett put it, \"Owen is a knave or Noah is a knave\". So who is a knight and who is a knave?", "names": ["Jack", "Owen", "Lucas", "Jacob", "Aria", "Noah", "Scarlett"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false, false, true, false], "solution_text": "Jack is a knight, Owen is a knight, Lucas is a knight, Jacob is a knave, Aria is a knave, Noah is a knight, and Scarlett is a knave.", "solution_text_format": "(1) Jack is a knight\n(2) Owen is a knight\n(3) Lucas is a knight\n(4) Jacob is a knave\n(5) Aria is a knave\n(6) Noah is a knight\n(7) Scarlett is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jack is a knight. No contradiction is found in their claim that Lucas is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that If Owen is a knight then Aria is a knave.", "Assume Owen is a knight. No contradiction is found in their claim that Jack is not a knave.", "Aria cannot be a knight, because this would contradict the claim of Lucas that If Owen is a knight then Aria is a knave.", "Assume Aria is a knave. No contradiction is found in their false claim that If Jacob is a knave then Scarlett is a knight.", "Jacob cannot be a knight, because this would contradict the false claim of Aria that If Jacob is a knave then Scarlett is a knight.", "Assume Jacob is a knave. No contradiction is found in their false claim that Noah is a knight if and only if Aria is a knight.", "Assume Noah is a knight. No contradiction is found in their claim that Owen is not a knave.", "Scarlett cannot be a knight, because this would contradict the false claim of Aria that If Jacob is a knave then Scarlett is a knight.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Owen is a knave or Noah is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 2), ('not', ('lying', 0)), ('->', ('telling-truth', 1), ('lying', 4)), ('<=>', ('telling-truth', 5), ('telling-truth', 4)), ('->', ('lying', 3), ('telling-truth', 6)), ('not', ('lying', 1)), ('or', ('lying', 1), ('lying', 5)))", "index": 986}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Joseph, Owen, Henry, Chloe, Oliver, Emma, and Sofia. Joseph said that If Owen is a knave then Sofia is a knight. Owen told you that If Joseph is a knight then Owen is a knight. Henry was heard saying, \"Emma is a knight\". Chloe said that Henry is not a knight. In a statement by Oliver: \"Joseph is a knave or Joseph is a knight\". \"Oliver is not a knave,\" Emma declared. Sofia asserted: \"Joseph is a knight if and only if Emma is a knave\". So who is a knight and who is a knave?", "names": ["Joseph", "Owen", "Henry", "Chloe", "Oliver", "Emma", "Sofia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false, true, true, false], "solution_text": "Joseph is a knight, Owen is a knight, Henry is a knight, Chloe is a knave, Oliver is a knight, Emma is a knight, and Sofia is a knave.", "solution_text_format": "(1) Joseph is a knight\n(2) Owen is a knight\n(3) Henry is a knight\n(4) Chloe is a knave\n(5) Oliver is a knight\n(6) Emma is a knight\n(7) Sofia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Joseph is a knight. No contradiction is found in their claim that If Owen is a knave then Sofia is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that If Joseph is a knight then Owen is a knight.", "Assume Sofia is a knight. No contradiction is found in their claim that Joseph is a knight if and only if Emma is a knave.", "Emma cannot be a knight, because this would contradict the claim of Sofia that Joseph is a knight if and only if Emma is a knave.", "Assume Emma is a knave. No contradiction is found in their false claim that Oliver is not a knave.", "Oliver cannot be a knight, because this would contradict the false claim of Emma that Oliver is not a knave.", "Oliver cannot be a knave, because this would contradict the false claim of their own that Joseph is a knave or Joseph is a knight.", "We have exhausted all possibilities for Oliver and Emma, so let us go back and reconsider Sofia.", "Assume Sofia is a knave. No contradiction is found in their false claim that Joseph is a knight if and only if Emma is a knave.", "Assume Emma is a knight. No contradiction is found in their claim that Oliver is not a knave.", "Assume Oliver is a knight. No contradiction is found in their claim that Joseph is a knave or Joseph is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that Emma is a knight.", "Chloe cannot be a knight, because this would contradict the claim of their own that Henry is not a knight.", "Assume Chloe is a knave. No contradiction is found in their false claim that Henry is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 1), ('telling-truth', 6)), ('->', ('telling-truth', 0), ('telling-truth', 1)), ('telling-truth', 5), ('not', ('telling-truth', 2)), ('or', ('lying', 0), ('telling-truth', 0)), ('not', ('lying', 4)), ('<=>', ('telling-truth', 0), ('lying', 5)))", "index": 987}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Lucas, Victoria, Olivia, Amelia, Mason, Aurora, and Benjamin. In Lucas's words: \"If Benjamin is a knight then Olivia is a knave\". Victoria told you that Aurora is a knight and Mason is a knight. Olivia was heard saying, \"Lucas is a knight\". \"Olivia is a knave or Mason is a knave,\" Amelia mentioned. Mason noted, \"Olivia is a knave if and only if Amelia is a knight\". Aurora commented, \"Amelia is a knight\". As Benjamin put it, \"Mason is a knight\". So who is a knight and who is a knave?", "names": ["Lucas", "Victoria", "Olivia", "Amelia", "Mason", "Aurora", "Benjamin"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, false, true, false], "solution_text": "Lucas is a knight, Victoria is a knave, Olivia is a knight, Amelia is a knight, Mason is a knave, Aurora is a knight, and Benjamin is a knave.", "solution_text_format": "(1) Lucas is a knight\n(2) Victoria is a knave\n(3) Olivia is a knight\n(4) Amelia is a knight\n(5) Mason is a knave\n(6) Aurora is a knight\n(7) Benjamin is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Lucas is a knight. No contradiction is found in their claim that If Benjamin is a knight then Olivia is a knave.", "Assume Benjamin is a knight. No contradiction is found in their claim that Mason is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that Olivia is a knave if and only if Amelia is a knight.", "Olivia cannot be a knight, because this would contradict the claim of Lucas that If Benjamin is a knight then Olivia is a knave.", "Olivia cannot be a knave, because this would contradict the false claim of their own that Lucas is a knight.", "We have exhausted all possibilities for Olivia, so let us go back and reconsider Mason.", "Mason cannot be a knave, because this would contradict the claim of Benjamin that Mason is a knight.", "We have exhausted all possibilities for Mason, so let us go back and reconsider Benjamin.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Mason is a knight.", "Mason cannot be a knight, because this would contradict the false claim of Benjamin that Mason is a knight.", "Assume Mason is a knave. No contradiction is found in their false claim that Olivia is a knave if and only if Amelia is a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that Lucas is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that Olivia is a knave or Mason is a knave.", "Victoria cannot be a knight, because this would contradict the claim of their own that Aurora is a knight and Mason is a knight.", "Assume Victoria is a knave. No contradiction is found in their false claim that Aurora is a knight and Mason is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that Amelia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 6), ('lying', 2)), ('and', ('telling-truth', 5), ('telling-truth', 4)), ('telling-truth', 0), ('or', ('lying', 2), ('lying', 4)), ('<=>', ('lying', 2), ('telling-truth', 3)), ('telling-truth', 3), ('telling-truth', 4))", "index": 988}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Aria, Mia, Oliver, Jackson, Owen, Scarlett, and Abigail. Aria remarked, \"Jackson is not a knight\". In a statement by Mia: \"If Aria is a knight then Owen is a knight\". Oliver expressed that Abigail is a knave if and only if Aria is a knight. As Jackson put it, \"Abigail is not a knave\". In Owen's words: \"Abigail is a knight\". \"Owen is a knight or Aria is a knight,\" Scarlett mentioned. In Abigail's words: \"Aria is a knave if and only if Aria is a knight\". So who is a knight and who is a knave?", "names": ["Aria", "Mia", "Oliver", "Jackson", "Owen", "Scarlett", "Abigail"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false, false, true, false], "solution_text": "Aria is a knight, Mia is a knave, Oliver is a knight, Jackson is a knave, Owen is a knave, Scarlett is a knight, and Abigail is a knave.", "solution_text_format": "(1) Aria is a knight\n(2) Mia is a knave\n(3) Oliver is a knight\n(4) Jackson is a knave\n(5) Owen is a knave\n(6) Scarlett is a knight\n(7) Abigail is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aria is a knight. No contradiction is found in their claim that Jackson is not a knight.", "Jackson cannot be a knight, because this would contradict the claim of Aria that Jackson is not a knight.", "Assume Jackson is a knave. No contradiction is found in their false claim that Abigail is not a knave.", "Abigail cannot be a knight, because this would contradict the false claim of Jackson that Abigail is not a knave.", "Assume Abigail is a knave. No contradiction is found in their false claim that Aria is a knave if and only if Aria is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that If Aria is a knight then Owen is a knight.", "Owen cannot be a knight, because this would contradict the claim of their own that Abigail is a knight.", "Owen cannot be a knave, because this would contradict the claim of Mia that If Aria is a knight then Owen is a knight.", "We have exhausted all possibilities for Owen, so let us go back and reconsider Mia.", "Assume Mia is a knave. No contradiction is found in their false claim that If Aria is a knight then Owen is a knight.", "Owen cannot be a knight, because this would contradict the false claim of Mia that If Aria is a knight then Owen is a knight.", "Assume Owen is a knave. No contradiction is found in their false claim that Abigail is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that Abigail is a knave if and only if Aria is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that Owen is a knight or Aria is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 3)), ('->', ('telling-truth', 0), ('telling-truth', 4)), ('<=>', ('lying', 6), ('telling-truth', 0)), ('not', ('lying', 6)), ('telling-truth', 6), ('or', ('telling-truth', 4), ('telling-truth', 0)), ('<=>', ('lying', 0), ('telling-truth', 0)))", "index": 989}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Aurora, Owen, Emma, Sebastian, Victoria, Jacob, and Sophia. Aurora said, \"Owen is a knight.\" \"Victoria is not a knave\" - Owen. \"If Owen is a knight then Jacob is a knave,\" Emma mentioned. Sebastian told you that If Aurora is a knight then Victoria is a knave. Victoria noted, \"Sophia is a knight\". According to Jacob, \"Emma is a knight or Victoria is a knight\". \"Owen is a knave if and only if Sebastian is a knight\" - Sophia. So who is a knight and who is a knave?", "names": ["Aurora", "Owen", "Emma", "Sebastian", "Victoria", "Jacob", "Sophia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false, true, true, true], "solution_text": "Aurora is a knight, Owen is a knight, Emma is a knave, Sebastian is a knave, Victoria is a knight, Jacob is a knight, and Sophia is a knight.", "solution_text_format": "(1) Aurora is a knight\n(2) Owen is a knight\n(3) Emma is a knave\n(4) Sebastian is a knave\n(5) Victoria is a knight\n(6) Jacob is a knight\n(7) Sophia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aurora is a knight. No contradiction is found in their claim that Owen is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that Victoria is not a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that Sophia is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that Owen is a knave if and only if Sebastian is a knight.", "Sebastian cannot be a knight, because this would contradict the claim of their own that If Aurora is a knight then Victoria is a knave.", "Assume Sebastian is a knave. No contradiction is found in their false claim that If Aurora is a knight then Victoria is a knave.", "Assume Emma is a knight. No contradiction is found in their claim that If Owen is a knight then Jacob is a knave.", "Jacob cannot be a knight, because this would contradict the claim of Emma that If Owen is a knight then Jacob is a knave.", "Jacob cannot be a knave, because this would contradict the false claim of their own that Emma is a knight or Victoria is a knight.", "We have exhausted all possibilities for Jacob, so let us go back and reconsider Emma.", "Assume Emma is a knave. No contradiction is found in their false claim that If Owen is a knight then Jacob is a knave.", "Assume Jacob is a knight. No contradiction is found in their claim that Emma is a knight or Victoria is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 1), ('not', ('lying', 4)), ('->', ('telling-truth', 1), ('lying', 5)), ('->', ('telling-truth', 0), ('lying', 4)), ('telling-truth', 6), ('or', ('telling-truth', 2), ('telling-truth', 4)), ('<=>', ('lying', 1), ('telling-truth', 3)))", "index": 990}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Jacob, Ava, Aiden, James, Olivia, Noah, and Zoey. Jacob expressed that Jacob is a knight or James is a knight. \"Zoey is not a knight\" - Ava. Aiden was heard saying, \"Ava is a knave\". As James put it, \"Ava is a knave or Zoey is a knight\". In Olivia's words: \"Aiden is a knight\". Noah commented, \"Olivia is a knave\". Zoey told you that If Aiden is a knave then Ava is a knight. So who is a knight and who is a knave?", "names": ["Jacob", "Ava", "Aiden", "James", "Olivia", "Noah", "Zoey"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, true, false, true], "solution_text": "Jacob is a knight, Ava is a knave, Aiden is a knight, James is a knight, Olivia is a knight, Noah is a knave, and Zoey is a knight.", "solution_text_format": "(1) Jacob is a knight\n(2) Ava is a knave\n(3) Aiden is a knight\n(4) James is a knight\n(5) Olivia is a knight\n(6) Noah is a knave\n(7) Zoey is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jacob is a knight. No contradiction is found in their claim that Jacob is a knight or James is a knight.", "Assume James is a knight. No contradiction is found in their claim that Ava is a knave or Zoey is a knight.", "Assume Ava is a knight. No contradiction is found in their claim that Zoey is not a knight.", "Zoey cannot be a knight, because this would contradict the claim of Ava that Zoey is not a knight.", "Zoey cannot be a knave, because this would contradict the claim of James that Ava is a knave or Zoey is a knight.", "We have exhausted all possibilities for Zoey, so let us go back and reconsider Ava.", "Assume Ava is a knave. No contradiction is found in their false claim that Zoey is not a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that If Aiden is a knave then Ava is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that Ava is a knave.", "Assume Olivia is a knight. No contradiction is found in their claim that Aiden is a knight.", "Noah cannot be a knight, because this would contradict the claim of their own that Olivia is a knave.", "Assume Noah is a knave. No contradiction is found in their false claim that Olivia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 0), ('telling-truth', 3)), ('not', ('telling-truth', 6)), ('lying', 1), ('or', ('lying', 1), ('telling-truth', 6)), ('telling-truth', 2), ('lying', 4), ('->', ('lying', 2), ('telling-truth', 1)))", "index": 991}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Victoria, Grace, Scarlett, Daniel, Ethan, Alexander, and Sebastian. \"Sebastian is a knight if and only if Victoria is a knight,\" Victoria mentioned. Grace noted, \"Alexander is a knight\". According to Scarlett, \"If Scarlett is a knight then Ethan is a knave\". According to Daniel, \"Ethan is a knave if and only if Alexander is a knave\". \"Victoria is a knave and Victoria is a knight,\" Ethan mentioned. Alexander remarked, \"Victoria is a knave and Grace is a knave\". \"Sebastian is a knight or Alexander is a knave,\" Sebastian mentioned. So who is a knight and who is a knave?", "names": ["Victoria", "Grace", "Scarlett", "Daniel", "Ethan", "Alexander", "Sebastian"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, false, false, true], "solution_text": "Victoria is a knight, Grace is a knave, Scarlett is a knight, Daniel is a knight, Ethan is a knave, Alexander is a knave, and Sebastian is a knight.", "solution_text_format": "(1) Victoria is a knight\n(2) Grace is a knave\n(3) Scarlett is a knight\n(4) Daniel is a knight\n(5) Ethan is a knave\n(6) Alexander is a knave\n(7) Sebastian is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Victoria is a knight. No contradiction is found in their claim that Sebastian is a knight if and only if Victoria is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Sebastian is a knight or Alexander is a knave.", "Alexander cannot be a knight, because this would contradict the claim of their own that Victoria is a knave and Grace is a knave.", "Assume Alexander is a knave. No contradiction is found in their false claim that Victoria is a knave and Grace is a knave.", "Grace cannot be a knight, because this would contradict the claim of their own that Alexander is a knight.", "Assume Grace is a knave. No contradiction is found in their false claim that Alexander is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that If Scarlett is a knight then Ethan is a knave.", "Ethan cannot be a knight, because this would contradict the claim of Scarlett that If Scarlett is a knight then Ethan is a knave.", "Assume Ethan is a knave. No contradiction is found in their false claim that Victoria is a knave and Victoria is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that Ethan is a knave if and only if Alexander is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 6), ('telling-truth', 0)), ('telling-truth', 5), ('->', ('telling-truth', 2), ('lying', 4)), ('<=>', ('lying', 4), ('lying', 5)), ('and', ('lying', 0), ('telling-truth', 0)), ('and', ('lying', 0), ('lying', 1)), ('or', ('telling-truth', 6), ('lying', 5)))", "index": 992}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Mason, Jackson, Jacob, Avery, Emma, Grace, and Joseph. Mason told you that If Avery is a knave then Jacob is a knave. \"Avery is a knight or Jacob is a knave,\" Jackson claimed. \"Grace is not a knave,\" Jacob declared. Avery noted, \"Grace is a knight if and only if Mason is a knight\". Emma stated, \"Jacob is not a knave\". In a statement by Grace: \"If Jacob is a knight then Mason is a knave\". Joseph said, \"Avery is a knight.\" So who is a knight and who is a knave?", "names": ["Mason", "Jackson", "Jacob", "Avery", "Emma", "Grace", "Joseph"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false, true, true, false], "solution_text": "Mason is a knave, Jackson is a knave, Jacob is a knight, Avery is a knave, Emma is a knight, Grace is a knight, and Joseph is a knave.", "solution_text_format": "(1) Mason is a knave\n(2) Jackson is a knave\n(3) Jacob is a knight\n(4) Avery is a knave\n(5) Emma is a knight\n(6) Grace is a knight\n(7) Joseph is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Mason is a knight. No contradiction is found in their claim that If Avery is a knave then Jacob is a knave.", "Assume Avery is a knight. No contradiction is found in their claim that Grace is a knight if and only if Mason is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that If Jacob is a knight then Mason is a knave.", "Jacob cannot be a knight, because this would contradict the claim of Grace that If Jacob is a knight then Mason is a knave.", "Jacob cannot be a knave, because this would contradict the false claim of their own that Grace is not a knave.", "We have exhausted all possibilities for Jacob, so let us go back and reconsider Grace.", "Grace cannot be a knave, because this would contradict the claim of Avery that Grace is a knight if and only if Mason is a knight.", "We have exhausted all possibilities for Grace, so let us go back and reconsider Avery.", "Assume Avery is a knave. No contradiction is found in their false claim that Grace is a knight if and only if Mason is a knight.", "Grace cannot be a knight, because this would contradict the false claim of Avery that Grace is a knight if and only if Mason is a knight.", "Assume Grace is a knave. No contradiction is found in their false claim that If Jacob is a knight then Mason is a knave.", "Jacob cannot be a knight, because this would contradict the claim of Mason that If Avery is a knave then Jacob is a knave.", "Jacob cannot be a knave, because this would contradict the false claim of Grace that If Jacob is a knight then Mason is a knave.", "We have exhausted all possibilities for Jacob, Grace, and Avery, so let us go back and reconsider Mason.", "Assume Mason is a knave. No contradiction is found in their false claim that If Avery is a knave then Jacob is a knave.", "Avery cannot be a knight, because this would contradict the false claim of Mason that If Avery is a knave then Jacob is a knave.", "Assume Avery is a knave. No contradiction is found in their false claim that Grace is a knight if and only if Mason is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that If Jacob is a knight then Mason is a knave.", "Assume Jacob is a knight. No contradiction is found in their claim that Grace is not a knave.", "Jackson cannot be a knight, because this would contradict the claim of their own that Avery is a knight or Jacob is a knave.", "Assume Jackson is a knave. No contradiction is found in their false claim that Avery is a knight or Jacob is a knave.", "Assume Emma is a knight. No contradiction is found in their claim that Jacob is not a knave.", "Joseph cannot be a knight, because this would contradict the claim of their own that Avery is a knight.", "Assume Joseph is a knave. No contradiction is found in their false claim that Avery is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 3), ('lying', 2)), ('or', ('telling-truth', 3), ('lying', 2)), ('not', ('lying', 5)), ('<=>', ('telling-truth', 5), ('telling-truth', 0)), ('not', ('lying', 2)), ('->', ('telling-truth', 2), ('lying', 0)), ('telling-truth', 3))", "index": 993}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Matthew, Evelyn, Michael, Chloe, Aria, Grace, and Scarlett. \"Matthew is a knight and Chloe is a knight,\" Matthew claimed. Evelyn told you that Michael is a knight or Michael is a knave. In a statement by Michael: \"Evelyn is a knave\". As Chloe put it, \"Aria is a knight and Evelyn is a knave\". Aria told you that Matthew is a knight. Grace said, \"Scarlett is a knight.\" Scarlett stated, \"Evelyn is a knight and Michael is a knight\". So who is a knight and who is a knave?", "names": ["Matthew", "Evelyn", "Michael", "Chloe", "Aria", "Grace", "Scarlett"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false, false, false, false], "solution_text": "Matthew is a knave, Evelyn is a knight, Michael is a knave, Chloe is a knave, Aria is a knave, Grace is a knave, and Scarlett is a knave.", "solution_text_format": "(1) Matthew is a knave\n(2) Evelyn is a knight\n(3) Michael is a knave\n(4) Chloe is a knave\n(5) Aria is a knave\n(6) Grace is a knave\n(7) Scarlett is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Matthew is a knight. No contradiction is found in their claim that Matthew is a knight and Chloe is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that Aria is a knight and Evelyn is a knave.", "Assume Aria is a knight. No contradiction is found in their claim that Matthew is a knight.", "Evelyn cannot be a knight, because this would contradict the claim of Chloe that Aria is a knight and Evelyn is a knave.", "Evelyn cannot be a knave, because this would contradict the false claim of their own that Michael is a knight or Michael is a knave.", "We have exhausted all possibilities for Evelyn, so let us go back and reconsider Aria.", "Aria cannot be a knave, because this would contradict the claim of Chloe that Aria is a knight and Evelyn is a knave.", "We have exhausted all possibilities for Aria, so let us go back and reconsider Chloe.", "Chloe cannot be a knave, because this would contradict the claim of Matthew that Matthew is a knight and Chloe is a knight.", "We have exhausted all possibilities for Chloe, so let us go back and reconsider Matthew.", "Assume Matthew is a knave. No contradiction is found in their false claim that Matthew is a knight and Chloe is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that Aria is a knight and Evelyn is a knave.", "Aria cannot be a knight, because this would contradict the claim of their own that Matthew is a knight.", "Aria cannot be a knave, because this would contradict the claim of Chloe that Aria is a knight and Evelyn is a knave.", "We have exhausted all possibilities for Aria, so let us go back and reconsider Chloe.", "Assume Chloe is a knave. No contradiction is found in their false claim that Aria is a knight and Evelyn is a knave.", "Aria cannot be a knight, because this would contradict the claim of their own that Matthew is a knight.", "Assume Aria is a knave. No contradiction is found in their false claim that Matthew is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that Michael is a knight or Michael is a knave.", "Michael cannot be a knight, because this would contradict the claim of their own that Evelyn is a knave.", "Assume Michael is a knave. No contradiction is found in their false claim that Evelyn is a knave.", "Assume Grace is a knight. No contradiction is found in their claim that Scarlett is a knight.", "Scarlett cannot be a knight, because this would contradict the claim of their own that Evelyn is a knight and Michael is a knight.", "Scarlett cannot be a knave, because this would contradict the claim of Grace that Scarlett is a knight.", "We have exhausted all possibilities for Scarlett, so let us go back and reconsider Grace.", "Assume Grace is a knave. No contradiction is found in their false claim that Scarlett is a knight.", "Scarlett cannot be a knight, because this would contradict the false claim of Grace that Scarlett is a knight.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Evelyn is a knight and Michael is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 0), ('telling-truth', 3)), ('or', ('telling-truth', 2), ('lying', 2)), ('lying', 1), ('and', ('telling-truth', 4), ('lying', 1)), ('telling-truth', 0), ('telling-truth', 6), ('and', ('telling-truth', 1), ('telling-truth', 2)))", "index": 994}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Logan, Henry, Matthew, Emma, Jacob, Grace, and Noah. In a statement by Logan: \"Henry is a knight if and only if Noah is a knave\". Henry remarked, \"Noah is a knight or Grace is a knave\". Matthew expressed that If Jacob is a knight then Jacob is a knave. Emma said that Noah is a knave. Jacob remarked, \"Matthew is a knight and Grace is a knave\". \"If Jacob is a knave then Henry is a knight\" - Grace. Noah was heard saying, \"Matthew is a knave if and only if Emma is a knight\". So who is a knight and who is a knave?", "names": ["Logan", "Henry", "Matthew", "Emma", "Jacob", "Grace", "Noah"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false, false, true, true], "solution_text": "Logan is a knave, Henry is a knight, Matthew is a knight, Emma is a knave, Jacob is a knave, Grace is a knight, and Noah is a knight.", "solution_text_format": "(1) Logan is a knave\n(2) Henry is a knight\n(3) Matthew is a knight\n(4) Emma is a knave\n(5) Jacob is a knave\n(6) Grace is a knight\n(7) Noah is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Logan is a knight. No contradiction is found in their claim that Henry is a knight if and only if Noah is a knave.", "Assume Henry is a knight. No contradiction is found in their claim that Noah is a knight or Grace is a knave.", "Noah cannot be a knight, because this would contradict the claim of Logan that Henry is a knight if and only if Noah is a knave.", "Assume Noah is a knave. No contradiction is found in their false claim that Matthew is a knave if and only if Emma is a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that If Jacob is a knight then Jacob is a knave.", "Jacob cannot be a knight, because this would contradict the claim of Matthew that If Jacob is a knight then Jacob is a knave.", "Assume Jacob is a knave. No contradiction is found in their false claim that Matthew is a knight and Grace is a knave.", "Grace cannot be a knight, because this would contradict the claim of Henry that Noah is a knight or Grace is a knave.", "Grace cannot be a knave, because this would contradict the false claim of Jacob that Matthew is a knight and Grace is a knave.", "We have exhausted all possibilities for Grace and Jacob, so let us go back and reconsider Matthew.", "Assume Matthew is a knave. No contradiction is found in their false claim that If Jacob is a knight then Jacob is a knave.", "Jacob cannot be a knight, because this would contradict the claim of their own that Matthew is a knight and Grace is a knave.", "Jacob cannot be a knave, because this would contradict the false claim of Matthew that If Jacob is a knight then Jacob is a knave.", "We have exhausted all possibilities for Jacob, Matthew, and Noah, so let us go back and reconsider Henry.", "Assume Henry is a knave. No contradiction is found in their false claim that Noah is a knight or Grace is a knave.", "Noah cannot be a knight, because this would contradict the false claim of Henry that Noah is a knight or Grace is a knave.", "Noah cannot be a knave, because this would contradict the claim of Logan that Henry is a knight if and only if Noah is a knave.", "We have exhausted all possibilities for Noah and Henry, so let us go back and reconsider Logan.", "Assume Logan is a knave. No contradiction is found in their false claim that Henry is a knight if and only if Noah is a knave.", "Assume Henry is a knight. No contradiction is found in their claim that Noah is a knight or Grace is a knave.", "Assume Noah is a knight. No contradiction is found in their claim that Matthew is a knave if and only if Emma is a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that If Jacob is a knight then Jacob is a knave.", "Jacob cannot be a knight, because this would contradict the claim of Matthew that If Jacob is a knight then Jacob is a knave.", "Assume Jacob is a knave. No contradiction is found in their false claim that Matthew is a knight and Grace is a knave.", "Assume Grace is a knight. No contradiction is found in their claim that If Jacob is a knave then Henry is a knight.", "Emma cannot be a knight, because this would contradict the claim of their own that Noah is a knave.", "Assume Emma is a knave. No contradiction is found in their false claim that Noah is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('lying', 6)), ('or', ('telling-truth', 6), ('lying', 5)), ('->', ('telling-truth', 4), ('lying', 4)), ('lying', 6), ('and', ('telling-truth', 2), ('lying', 5)), ('->', ('lying', 4), ('telling-truth', 1)), ('<=>', ('lying', 2), ('telling-truth', 3)))", "index": 995}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Joseph, Ava, Oliver, Victoria, Avery, Benjamin, and Ethan. Joseph asserted: \"Oliver is a knave or Avery is a knight\". Ava said that Benjamin is a knight and Benjamin is a knave. Oliver commented, \"Victoria is a knave or Joseph is a knight\". Victoria said that Benjamin is a knave if and only if Benjamin is a knight. In a statement by Avery: \"If Victoria is a knight then Ava is a knight\". Benjamin told you that Ethan is a knave or Ava is a knave. As Ethan put it, \"Ava is not a knave\". So who is a knight and who is a knave?", "names": ["Joseph", "Ava", "Oliver", "Victoria", "Avery", "Benjamin", "Ethan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false, true, true, false], "solution_text": "Joseph is a knight, Ava is a knave, Oliver is a knight, Victoria is a knave, Avery is a knight, Benjamin is a knight, and Ethan is a knave.", "solution_text_format": "(1) Joseph is a knight\n(2) Ava is a knave\n(3) Oliver is a knight\n(4) Victoria is a knave\n(5) Avery is a knight\n(6) Benjamin is a knight\n(7) Ethan is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Joseph is a knight. No contradiction is found in their claim that Oliver is a knave or Avery is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that Victoria is a knave or Joseph is a knight.", "Victoria cannot be a knight, because this would contradict the claim of their own that Benjamin is a knave if and only if Benjamin is a knight.", "Assume Victoria is a knave. No contradiction is found in their false claim that Benjamin is a knave if and only if Benjamin is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that Ethan is a knave or Ava is a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that Ava is not a knave.", "Ava cannot be a knight, because this would contradict the claim of their own that Benjamin is a knight and Benjamin is a knave.", "Ava cannot be a knave, because this would contradict the claim of Ethan that Ava is not a knave.", "We have exhausted all possibilities for Ava, so let us go back and reconsider Ethan.", "Assume Ethan is a knave. No contradiction is found in their false claim that Ava is not a knave.", "Ava cannot be a knight, because this would contradict the claim of their own that Benjamin is a knight and Benjamin is a knave.", "Assume Ava is a knave. No contradiction is found in their false claim that Benjamin is a knight and Benjamin is a knave.", "Assume Avery is a knight. No contradiction is found in their claim that If Victoria is a knight then Ava is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 2), ('telling-truth', 4)), ('and', ('telling-truth', 5), ('lying', 5)), ('or', ('lying', 3), ('telling-truth', 0)), ('<=>', ('lying', 5), ('telling-truth', 5)), ('->', ('telling-truth', 3), ('telling-truth', 1)), ('or', ('lying', 6), ('lying', 1)), ('not', ('lying', 1)))", "index": 996}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Aurora, David, Matthew, Logan, Emily, Joseph, and Sebastian. Aurora commented, \"David is a knave if and only if Logan is a knave\". David said, \"Joseph is a knave and Emily is a knave.\" Matthew asserted: \"Aurora is not a knave\". According to Logan, \"Sebastian is a knight if and only if Joseph is a knave\". Emily remarked, \"David is a knave if and only if Matthew is a knave\". Joseph remarked, \"If Emily is a knave then Logan is a knight\". Sebastian said that Joseph is a knight. So who is a knight and who is a knave?", "names": ["Aurora", "David", "Matthew", "Logan", "Emily", "Joseph", "Sebastian"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false, false, false, false], "solution_text": "Aurora is a knave, David is a knight, Matthew is a knave, Logan is a knave, Emily is a knave, Joseph is a knave, and Sebastian is a knave.", "solution_text_format": "(1) Aurora is a knave\n(2) David is a knight\n(3) Matthew is a knave\n(4) Logan is a knave\n(5) Emily is a knave\n(6) Joseph is a knave\n(7) Sebastian is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aurora is a knight. No contradiction is found in their claim that David is a knave if and only if Logan is a knave.", "Assume David is a knight. No contradiction is found in their claim that Joseph is a knave and Emily is a knave.", "Joseph cannot be a knight, because this would contradict the claim of David that Joseph is a knave and Emily is a knave.", "Assume Joseph is a knave. No contradiction is found in their false claim that If Emily is a knave then Logan is a knight.", "Emily cannot be a knight, because this would contradict the claim of David that Joseph is a knave and Emily is a knave.", "Assume Emily is a knave. No contradiction is found in their false claim that David is a knave if and only if Matthew is a knave.", "Matthew cannot be a knight, because this would contradict the false claim of Emily that David is a knave if and only if Matthew is a knave.", "Matthew cannot be a knave, because this would contradict the false claim of their own that Aurora is not a knave.", "We have exhausted all possibilities for Matthew, Emily, and Joseph, so let us go back and reconsider David.", "Assume David is a knave. No contradiction is found in their false claim that Joseph is a knave and Emily is a knave.", "Assume Joseph is a knight. No contradiction is found in their claim that If Emily is a knave then Logan is a knight.", "Assume Emily is a knight. No contradiction is found in their claim that David is a knave if and only if Matthew is a knave.", "Matthew cannot be a knight, because this would contradict the claim of Emily that David is a knave if and only if Matthew is a knave.", "Matthew cannot be a knave, because this would contradict the false claim of their own that Aurora is not a knave.", "We have exhausted all possibilities for Matthew, so let us go back and reconsider Emily.", "Assume Emily is a knave. No contradiction is found in their false claim that David is a knave if and only if Matthew is a knave.", "Assume Matthew is a knight. No contradiction is found in their claim that Aurora is not a knave.", "Logan cannot be a knight, because this would contradict the claim of Aurora that David is a knave if and only if Logan is a knave.", "Logan cannot be a knave, because this would contradict the claim of Joseph that If Emily is a knave then Logan is a knight.", "We have exhausted all possibilities for Logan, so let us go back and reconsider Matthew.", "Matthew cannot be a knave, because this would contradict the false claim of their own that Aurora is not a knave.", "We have exhausted all possibilities for Matthew and Emily, so let us go back and reconsider Joseph.", "Assume Joseph is a knave. No contradiction is found in their false claim that If Emily is a knave then Logan is a knight.", "Emily cannot be a knight, because this would contradict the false claim of Joseph that If Emily is a knave then Logan is a knight.", "Emily cannot be a knave, because this would contradict the false claim of David that Joseph is a knave and Emily is a knave.", "We have exhausted all possibilities for Emily, Joseph, and David, so let us go back and reconsider Aurora.", "Assume Aurora is a knave. No contradiction is found in their false claim that David is a knave if and only if Logan is a knave.", "Assume David is a knight. No contradiction is found in their claim that Joseph is a knave and Emily is a knave.", "Joseph cannot be a knight, because this would contradict the claim of David that Joseph is a knave and Emily is a knave.", "Assume Joseph is a knave. No contradiction is found in their false claim that If Emily is a knave then Logan is a knight.", "Emily cannot be a knight, because this would contradict the claim of David that Joseph is a knave and Emily is a knave.", "Assume Emily is a knave. No contradiction is found in their false claim that David is a knave if and only if Matthew is a knave.", "Matthew cannot be a knight, because this would contradict the claim of their own that Aurora is not a knave.", "Assume Matthew is a knave. No contradiction is found in their false claim that Aurora is not a knave.", "Logan cannot be a knight, because this would contradict the false claim of Aurora that David is a knave if and only if Logan is a knave.", "Assume Logan is a knave. No contradiction is found in their false claim that Sebastian is a knight if and only if Joseph is a knave.", "Sebastian cannot be a knight, because this would contradict the false claim of Logan that Sebastian is a knight if and only if Joseph is a knave.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Joseph is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('lying', 3)), ('and', ('lying', 5), ('lying', 4)), ('not', ('lying', 0)), ('<=>', ('telling-truth', 6), ('lying', 5)), ('<=>', ('lying', 1), ('lying', 2)), ('->', ('lying', 4), ('telling-truth', 3)), ('telling-truth', 5))", "index": 997}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Lily, Scarlett, Chloe, Grace, Liam, Aria, and Mason. \"Aria is not a knight,\" Lily claimed. Scarlett stated, \"Mason is not a knave\". According to Chloe, \"Liam is a knight if and only if Aria is a knight\". Grace noted, \"If Grace is a knight then Liam is a knight\". Liam remarked, \"Aria is not a knave\". Aria said, \"Liam is a knight.\" Mason commented, \"Liam is not a knave\". So who is a knight and who is a knave?", "names": ["Lily", "Scarlett", "Chloe", "Grace", "Liam", "Aria", "Mason"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, true, true, true], "solution_text": "Lily is a knave, Scarlett is a knight, Chloe is a knight, Grace is a knight, Liam is a knight, Aria is a knight, and Mason is a knight.", "solution_text_format": "(1) Lily is a knave\n(2) Scarlett is a knight\n(3) Chloe is a knight\n(4) Grace is a knight\n(5) Liam is a knight\n(6) Aria is a knight\n(7) Mason is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Lily is a knight. No contradiction is found in their claim that Aria is not a knight.", "Aria cannot be a knight, because this would contradict the claim of Lily that Aria is not a knight.", "Assume Aria is a knave. No contradiction is found in their false claim that Liam is a knight.", "Liam cannot be a knight, because this would contradict the claim of their own that Aria is not a knave.", "Assume Liam is a knave. No contradiction is found in their false claim that Aria is not a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that Mason is not a knave.", "Mason cannot be a knight, because this would contradict the claim of their own that Liam is not a knave.", "Mason cannot be a knave, because this would contradict the claim of Scarlett that Mason is not a knave.", "We have exhausted all possibilities for Mason, so let us go back and reconsider Scarlett.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Mason is not a knave.", "Mason cannot be a knight, because this would contradict the false claim of Scarlett that Mason is not a knave.", "Assume Mason is a knave. No contradiction is found in their false claim that Liam is not a knave.", "Assume Chloe is a knight. No contradiction is found in their claim that Liam is a knight if and only if Aria is a knight.", "Grace cannot be a knight, because this would contradict the claim of their own that If Grace is a knight then Liam is a knight.", "Grace cannot be a knave, because this would contradict the false claim of their own that If Grace is a knight then Liam is a knight.", "We have exhausted all possibilities for Grace, so let us go back and reconsider Chloe.", "Chloe cannot be a knave, because this would contradict the false claim of their own that Liam is a knight if and only if Aria is a knight.", "We have exhausted all possibilities for Chloe, Mason, Scarlett, Liam, and Aria, so let us go back and reconsider Lily.", "Assume Lily is a knave. No contradiction is found in their false claim that Aria is not a knight.", "Assume Aria is a knight. No contradiction is found in their claim that Liam is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that Aria is not a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that Mason is not a knave.", "Assume Mason is a knight. No contradiction is found in their claim that Liam is not a knave.", "Assume Chloe is a knight. No contradiction is found in their claim that Liam is a knight if and only if Aria is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that If Grace is a knight then Liam is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 5)), ('not', ('lying', 6)), ('<=>', ('telling-truth', 4), ('telling-truth', 5)), ('->', ('telling-truth', 3), ('telling-truth', 4)), ('not', ('lying', 5)), ('telling-truth', 4), ('not', ('lying', 4)))", "index": 998}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Lily, Aurora, Amelia, Luke, Ethan, Michael, and Abigail. Lily noted, \"Ethan is a knight if and only if Amelia is a knight\". Aurora asserted: \"If Lily is a knave then Abigail is a knight\". Amelia told you that Abigail is not a knight. \"Abigail is a knight or Amelia is a knave\" - Luke. Ethan asserted: \"Aurora is not a knight\". Michael asserted: \"Luke is a knave or Amelia is a knight\". Abigail told you that Luke is not a knave. So who is a knight and who is a knave?", "names": ["Lily", "Aurora", "Amelia", "Luke", "Ethan", "Michael", "Abigail"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true, false, false, true], "solution_text": "Lily is a knight, Aurora is a knight, Amelia is a knave, Luke is a knight, Ethan is a knave, Michael is a knave, and Abigail is a knight.", "solution_text_format": "(1) Lily is a knight\n(2) Aurora is a knight\n(3) Amelia is a knave\n(4) Luke is a knight\n(5) Ethan is a knave\n(6) Michael is a knave\n(7) Abigail is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Lily is a knight. No contradiction is found in their claim that Ethan is a knight if and only if Amelia is a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that Aurora is not a knight.", "Aurora cannot be a knight, because this would contradict the claim of Ethan that Aurora is not a knight.", "Aurora cannot be a knave, because this would contradict the false claim of their own that If Lily is a knave then Abigail is a knight.", "We have exhausted all possibilities for Aurora, so let us go back and reconsider Ethan.", "Assume Ethan is a knave. No contradiction is found in their false claim that Aurora is not a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that If Lily is a knave then Abigail is a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that Luke is not a knave.", "Assume Luke is a knight. No contradiction is found in their claim that Abigail is a knight or Amelia is a knave.", "Amelia cannot be a knight, because this would contradict the claim of Lily that Ethan is a knight if and only if Amelia is a knight.", "Assume Amelia is a knave. No contradiction is found in their false claim that Abigail is not a knight.", "Michael cannot be a knight, because this would contradict the claim of their own that Luke is a knave or Amelia is a knight.", "Assume Michael is a knave. No contradiction is found in their false claim that Luke is a knave or Amelia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 4), ('telling-truth', 2)), ('->', ('lying', 0), ('telling-truth', 6)), ('not', ('telling-truth', 6)), ('or', ('telling-truth', 6), ('lying', 2)), ('not', ('telling-truth', 1)), ('or', ('lying', 3), ('telling-truth', 2)), ('not', ('lying', 3)))", "index": 999}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Harper, Benjamin, Olivia, Daniel, Henry, Jackson, and Sebastian. According to Harper, \"Sebastian is a knave if and only if Henry is a knight\". Benjamin asserted: \"Henry is a knight if and only if Olivia is a knight\". Olivia commented, \"Benjamin is a knave and Daniel is a knave\". Daniel stated, \"Jackson is a knave\". Henry told you that Olivia is not a knight. Jackson said that Harper is a knight and Benjamin is a knight. Sebastian told you that Daniel is a knight and Jackson is a knight. So who is a knight and who is a knave?", "names": ["Harper", "Benjamin", "Olivia", "Daniel", "Henry", "Jackson", "Sebastian"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, true, false, false], "solution_text": "Harper is a knight, Benjamin is a knave, Olivia is a knave, Daniel is a knight, Henry is a knight, Jackson is a knave, and Sebastian is a knave.", "solution_text_format": "(1) Harper is a knight\n(2) Benjamin is a knave\n(3) Olivia is a knave\n(4) Daniel is a knight\n(5) Henry is a knight\n(6) Jackson is a knave\n(7) Sebastian is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Harper is a knight. No contradiction is found in their claim that Sebastian is a knave if and only if Henry is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Daniel is a knight and Jackson is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that Jackson is a knave.", "Jackson cannot be a knight, because this would contradict the claim of Daniel that Jackson is a knave.", "Jackson cannot be a knave, because this would contradict the claim of Sebastian that Daniel is a knight and Jackson is a knight.", "We have exhausted all possibilities for Jackson, so let us go back and reconsider Daniel.", "Daniel cannot be a knave, because this would contradict the claim of Sebastian that Daniel is a knight and Jackson is a knight.", "We have exhausted all possibilities for Daniel, so let us go back and reconsider Sebastian.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Daniel is a knight and Jackson is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that Jackson is a knave.", "Jackson cannot be a knight, because this would contradict the claim of Daniel that Jackson is a knave.", "Assume Jackson is a knave. No contradiction is found in their false claim that Harper is a knight and Benjamin is a knight.", "Benjamin cannot be a knight, because this would contradict the false claim of Jackson that Harper is a knight and Benjamin is a knight.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Henry is a knight if and only if Olivia is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that Olivia is not a knight.", "Olivia cannot be a knight, because this would contradict the false claim of Benjamin that Henry is a knight if and only if Olivia is a knight.", "Assume Olivia is a knave. No contradiction is found in their false claim that Benjamin is a knave and Daniel is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 6), ('telling-truth', 4)), ('<=>', ('telling-truth', 4), ('telling-truth', 2)), ('and', ('lying', 1), ('lying', 3)), ('lying', 5), ('not', ('telling-truth', 2)), ('and', ('telling-truth', 0), ('telling-truth', 1)), ('and', ('telling-truth', 3), ('telling-truth', 5)))", "index": 1000}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Owen, Abigail, Aiden, Zoey, Jack, Ava, and Harper. Owen stated, \"Zoey is not a knight\". Abigail noted, \"Harper is a knave\". Aiden asserted: \"Zoey is not a knight\". Zoey expressed that If Jack is a knight then Abigail is a knight. As Jack put it, \"Zoey is a knave\". Ava said, \"Jack is a knight if and only if Harper is a knave.\" \"Aiden is a knave\" - Harper. So who is a knight and who is a knave?", "names": ["Owen", "Abigail", "Aiden", "Zoey", "Jack", "Ava", "Harper"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true, false, true, true], "solution_text": "Owen is a knave, Abigail is a knave, Aiden is a knave, Zoey is a knight, Jack is a knave, Ava is a knight, and Harper is a knight.", "solution_text_format": "(1) Owen is a knave\n(2) Abigail is a knave\n(3) Aiden is a knave\n(4) Zoey is a knight\n(5) Jack is a knave\n(6) Ava is a knight\n(7) Harper is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Owen is a knight. No contradiction is found in their claim that Zoey is not a knight.", "Zoey cannot be a knight, because this would contradict the claim of Owen that Zoey is not a knight.", "Assume Zoey is a knave. No contradiction is found in their false claim that If Jack is a knight then Abigail is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that Zoey is a knave.", "Abigail cannot be a knight, because this would contradict the false claim of Zoey that If Jack is a knight then Abigail is a knight.", "Assume Abigail is a knave. No contradiction is found in their false claim that Harper is a knave.", "Assume Harper is a knight. No contradiction is found in their claim that Aiden is a knave.", "Aiden cannot be a knight, because this would contradict the claim of Harper that Aiden is a knave.", "Aiden cannot be a knave, because this would contradict the false claim of their own that Zoey is not a knight.", "We have exhausted all possibilities for Aiden, so let us go back and reconsider Harper.", "Harper cannot be a knave, because this would contradict the false claim of Abigail that Harper is a knave.", "We have exhausted all possibilities for Harper and Abigail, so let us go back and reconsider Jack.", "Jack cannot be a knave, because this would contradict the false claim of Zoey that If Jack is a knight then Abigail is a knight.", "We have exhausted all possibilities for Jack and Zoey, so let us go back and reconsider Owen.", "Assume Owen is a knave. No contradiction is found in their false claim that Zoey is not a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that If Jack is a knight then Abigail is a knight.", "Jack cannot be a knight, because this would contradict the claim of their own that Zoey is a knave.", "Assume Jack is a knave. No contradiction is found in their false claim that Zoey is a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that Harper is a knave.", "Harper cannot be a knight, because this would contradict the claim of Abigail that Harper is a knave.", "Assume Harper is a knave. No contradiction is found in their false claim that Aiden is a knave.", "Aiden cannot be a knight, because this would contradict the claim of their own that Zoey is not a knight.", "Aiden cannot be a knave, because this would contradict the false claim of Harper that Aiden is a knave.", "We have exhausted all possibilities for Aiden and Harper, so let us go back and reconsider Abigail.", "Assume Abigail is a knave. No contradiction is found in their false claim that Harper is a knave.", "Assume Harper is a knight. No contradiction is found in their claim that Aiden is a knave.", "Aiden cannot be a knight, because this would contradict the claim of their own that Zoey is not a knight.", "Assume Aiden is a knave. No contradiction is found in their false claim that Zoey is not a knight.", "Assume Ava is a knight. No contradiction is found in their claim that Jack is a knight if and only if Harper is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 3)), ('lying', 6), ('not', ('telling-truth', 3)), ('->', ('telling-truth', 4), ('telling-truth', 1)), ('lying', 3), ('<=>', ('telling-truth', 4), ('lying', 6)), ('lying', 2))", "index": 1001}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Avery, Scarlett, Ava, Evelyn, James, Grace, and Isabella. According to Avery, \"Isabella is a knight or Ava is a knave\". Scarlett was heard saying, \"If Ava is a knight then Evelyn is a knave\". Ava noted, \"Avery is not a knave\". \"Ava is a knight if and only if Isabella is a knave\" - Evelyn. \"If Grace is a knave then Ava is a knave,\" James mentioned. In a statement by Grace: \"Evelyn is a knight\". Isabella told you that If Evelyn is a knave then Isabella is a knight. So who is a knight and who is a knave?", "names": ["Avery", "Scarlett", "Ava", "Evelyn", "James", "Grace", "Isabella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false, false, false, true], "solution_text": "Avery is a knight, Scarlett is a knight, Ava is a knight, Evelyn is a knave, James is a knave, Grace is a knave, and Isabella is a knight.", "solution_text_format": "(1) Avery is a knight\n(2) Scarlett is a knight\n(3) Ava is a knight\n(4) Evelyn is a knave\n(5) James is a knave\n(6) Grace is a knave\n(7) Isabella is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Avery is a knight. No contradiction is found in their claim that Isabella is a knight or Ava is a knave.", "Assume Isabella is a knight. No contradiction is found in their claim that If Evelyn is a knave then Isabella is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that Ava is a knight if and only if Isabella is a knave.", "Ava cannot be a knight, because this would contradict the claim of Evelyn that Ava is a knight if and only if Isabella is a knave.", "Ava cannot be a knave, because this would contradict the false claim of their own that Avery is not a knave.", "We have exhausted all possibilities for Ava, so let us go back and reconsider Evelyn.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Ava is a knight if and only if Isabella is a knave.", "Assume Ava is a knight. No contradiction is found in their claim that Avery is not a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that If Ava is a knight then Evelyn is a knave.", "Assume James is a knight. No contradiction is found in their claim that If Grace is a knave then Ava is a knave.", "Grace cannot be a knight, because this would contradict the claim of their own that Evelyn is a knight.", "Grace cannot be a knave, because this would contradict the claim of James that If Grace is a knave then Ava is a knave.", "We have exhausted all possibilities for Grace, so let us go back and reconsider James.", "Assume James is a knave. No contradiction is found in their false claim that If Grace is a knave then Ava is a knave.", "Grace cannot be a knight, because this would contradict the false claim of James that If Grace is a knave then Ava is a knave.", "Assume Grace is a knave. No contradiction is found in their false claim that Evelyn is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 6), ('lying', 2)), ('->', ('telling-truth', 2), ('lying', 3)), ('not', ('lying', 0)), ('<=>', ('telling-truth', 2), ('lying', 6)), ('->', ('lying', 5), ('lying', 2)), ('telling-truth', 3), ('->', ('lying', 3), ('telling-truth', 6)))", "index": 1002}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Alexander, Avery, Riley, Chloe, Jack, Emily, and Jacob. Alexander asserted: \"If Avery is a knight then Jacob is a knight\". Avery asserted: \"Emily is a knight and Avery is a knight\". Riley expressed that Avery is a knave and Emily is a knight. Chloe noted, \"Avery is not a knave\". Jack was heard saying, \"Jacob is not a knave\". Emily remarked, \"Chloe is a knight if and only if Chloe is a knave\". Jacob commented, \"Alexander is a knight or Jack is a knight\". So who is a knight and who is a knave?", "names": ["Alexander", "Avery", "Riley", "Chloe", "Jack", "Emily", "Jacob"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false, true, false, true], "solution_text": "Alexander is a knight, Avery is a knave, Riley is a knave, Chloe is a knave, Jack is a knight, Emily is a knave, and Jacob is a knight.", "solution_text_format": "(1) Alexander is a knight\n(2) Avery is a knave\n(3) Riley is a knave\n(4) Chloe is a knave\n(5) Jack is a knight\n(6) Emily is a knave\n(7) Jacob is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Alexander is a knight. No contradiction is found in their claim that If Avery is a knight then Jacob is a knight.", "Assume Avery is a knight. No contradiction is found in their claim that Emily is a knight and Avery is a knight.", "Emily cannot be a knight, because this would contradict the claim of their own that Chloe is a knight if and only if Chloe is a knave.", "Emily cannot be a knave, because this would contradict the claim of Avery that Emily is a knight and Avery is a knight.", "We have exhausted all possibilities for Emily, so let us go back and reconsider Avery.", "Assume Avery is a knave. No contradiction is found in their false claim that Emily is a knight and Avery is a knight.", "Emily cannot be a knight, because this would contradict the claim of their own that Chloe is a knight if and only if Chloe is a knave.", "Assume Emily is a knave. No contradiction is found in their false claim that Chloe is a knight if and only if Chloe is a knave.", "Chloe cannot be a knight, because this would contradict the claim of their own that Avery is not a knave.", "Assume Chloe is a knave. No contradiction is found in their false claim that Avery is not a knave.", "Assume Jacob is a knight. No contradiction is found in their claim that Alexander is a knight or Jack is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that Jacob is not a knave.", "Riley cannot be a knight, because this would contradict the claim of their own that Avery is a knave and Emily is a knight.", "Assume Riley is a knave. No contradiction is found in their false claim that Avery is a knave and Emily is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 1), ('telling-truth', 6)), ('and', ('telling-truth', 5), ('telling-truth', 1)), ('and', ('lying', 1), ('telling-truth', 5)), ('not', ('lying', 1)), ('not', ('lying', 6)), ('<=>', ('telling-truth', 3), ('lying', 3)), ('or', ('telling-truth', 0), ('telling-truth', 4)))", "index": 1003}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Henry, Michael, Sofia, Mia, Evelyn, Ella, and Joseph. Henry said, \"Michael is a knave or Mia is a knight.\" In Michael's words: \"If Mia is a knave then Ella is a knave\". In a statement by Sofia: \"Henry is a knight if and only if Sofia is a knight\". Mia noted, \"Ella is a knight or Joseph is a knave\". Evelyn said that Michael is a knight or Mia is a knight. \"Sofia is a knight and Henry is a knight,\" Ella claimed. According to Joseph, \"If Henry is a knave then Mia is a knight\". So who is a knight and who is a knave?", "names": ["Henry", "Michael", "Sofia", "Mia", "Evelyn", "Ella", "Joseph"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, true, true, true], "solution_text": "Henry is a knight, Michael is a knight, Sofia is a knight, Mia is a knight, Evelyn is a knight, Ella is a knight, and Joseph is a knight.", "solution_text_format": "(1) Henry is a knight\n(2) Michael is a knight\n(3) Sofia is a knight\n(4) Mia is a knight\n(5) Evelyn is a knight\n(6) Ella is a knight\n(7) Joseph is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Henry is a knight. No contradiction is found in their claim that Michael is a knave or Mia is a knight.", "Assume Michael is a knight. No contradiction is found in their claim that If Mia is a knave then Ella is a knave.", "Assume Mia is a knight. No contradiction is found in their claim that Ella is a knight or Joseph is a knave.", "Assume Ella is a knight. No contradiction is found in their claim that Sofia is a knight and Henry is a knight.", "Assume Sofia is a knight. No contradiction is found in their claim that Henry is a knight if and only if Sofia is a knight.", "Assume Joseph is a knight. No contradiction is found in their claim that If Henry is a knave then Mia is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that Michael is a knight or Mia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('telling-truth', 3)), ('->', ('lying', 3), ('lying', 5)), ('<=>', ('telling-truth', 0), ('telling-truth', 2)), ('or', ('telling-truth', 5), ('lying', 6)), ('or', ('telling-truth', 1), ('telling-truth', 3)), ('and', ('telling-truth', 2), ('telling-truth', 0)), ('->', ('lying', 0), ('telling-truth', 3)))", "index": 1004}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Ava, Grace, Luke, Owen, Sebastian, Mia, and Chloe. Ava commented, \"Luke is a knight and Mia is a knave\". In Grace's words: \"If Mia is a knight then Sebastian is a knight\". Luke stated, \"Mia is a knave or Chloe is a knight\". Owen said, \"Mia is not a knight.\" In Sebastian's words: \"Luke is a knave or Chloe is a knave\". In Mia's words: \"Owen is a knave\". Chloe was heard saying, \"If Sebastian is a knave then Ava is a knave\". So who is a knight and who is a knave?", "names": ["Ava", "Grace", "Luke", "Owen", "Sebastian", "Mia", "Chloe"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false, false, true, true], "solution_text": "Ava is a knave, Grace is a knave, Luke is a knight, Owen is a knave, Sebastian is a knave, Mia is a knight, and Chloe is a knight.", "solution_text_format": "(1) Ava is a knave\n(2) Grace is a knave\n(3) Luke is a knight\n(4) Owen is a knave\n(5) Sebastian is a knave\n(6) Mia is a knight\n(7) Chloe is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ava is a knight. No contradiction is found in their claim that Luke is a knight and Mia is a knave.", "Assume Luke is a knight. No contradiction is found in their claim that Mia is a knave or Chloe is a knight.", "Mia cannot be a knight, because this would contradict the claim of Ava that Luke is a knight and Mia is a knave.", "Assume Mia is a knave. No contradiction is found in their false claim that Owen is a knave.", "Assume Owen is a knight. No contradiction is found in their claim that Mia is not a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that If Sebastian is a knave then Ava is a knave.", "Sebastian cannot be a knight, because this would contradict the claim of their own that Luke is a knave or Chloe is a knave.", "Sebastian cannot be a knave, because this would contradict the claim of Chloe that If Sebastian is a knave then Ava is a knave.", "We have exhausted all possibilities for Sebastian, so let us go back and reconsider Chloe.", "Assume Chloe is a knave. No contradiction is found in their false claim that If Sebastian is a knave then Ava is a knave.", "Sebastian cannot be a knight, because this would contradict the false claim of Chloe that If Sebastian is a knave then Ava is a knave.", "Sebastian cannot be a knave, because this would contradict the false claim of their own that Luke is a knave or Chloe is a knave.", "We have exhausted all possibilities for Sebastian and Chloe, so let us go back and reconsider Owen.", "Owen cannot be a knave, because this would contradict the false claim of their own that Mia is not a knight.", "We have exhausted all possibilities for Owen and Mia, so let us go back and reconsider Luke.", "Luke cannot be a knave, because this would contradict the claim of Ava that Luke is a knight and Mia is a knave.", "We have exhausted all possibilities for Luke, so let us go back and reconsider Ava.", "Assume Ava is a knave. No contradiction is found in their false claim that Luke is a knight and Mia is a knave.", "Assume Luke is a knight. No contradiction is found in their claim that Mia is a knave or Chloe is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that Owen is a knave.", "Owen cannot be a knight, because this would contradict the claim of their own that Mia is not a knight.", "Assume Owen is a knave. No contradiction is found in their false claim that Mia is not a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that If Sebastian is a knave then Ava is a knave.", "Sebastian cannot be a knight, because this would contradict the claim of their own that Luke is a knave or Chloe is a knave.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Luke is a knave or Chloe is a knave.", "Grace cannot be a knight, because this would contradict the claim of their own that If Mia is a knight then Sebastian is a knight.", "Assume Grace is a knave. No contradiction is found in their false claim that If Mia is a knight then Sebastian is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 2), ('lying', 5)), ('->', ('telling-truth', 5), ('telling-truth', 4)), ('or', ('lying', 5), ('telling-truth', 6)), ('not', ('telling-truth', 5)), ('or', ('lying', 2), ('lying', 6)), ('lying', 3), ('->', ('lying', 4), ('lying', 0)))", "index": 1005}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Michael, Luke, Alexander, Samuel, Oliver, Liam, and Chloe. Michael told you that Luke is a knave if and only if Michael is a knight. Luke said, \"Michael is a knave or Liam is a knight.\" \"Alexander is a knight and Luke is a knight,\" Alexander claimed. As Samuel put it, \"Michael is not a knight\". As Oliver put it, \"If Chloe is a knave then Chloe is a knight\". Liam was heard saying, \"Chloe is a knight and Alexander is a knave\". Chloe said, \"Liam is not a knave.\" So who is a knight and who is a knave?", "names": ["Michael", "Luke", "Alexander", "Samuel", "Oliver", "Liam", "Chloe"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false, false, false, false], "solution_text": "Michael is a knight, Luke is a knave, Alexander is a knave, Samuel is a knave, Oliver is a knave, Liam is a knave, and Chloe is a knave.", "solution_text_format": "(1) Michael is a knight\n(2) Luke is a knave\n(3) Alexander is a knave\n(4) Samuel is a knave\n(5) Oliver is a knave\n(6) Liam is a knave\n(7) Chloe is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Michael is a knight. No contradiction is found in their claim that Luke is a knave if and only if Michael is a knight.", "Luke cannot be a knight, because this would contradict the claim of Michael that Luke is a knave if and only if Michael is a knight.", "Assume Luke is a knave. No contradiction is found in their false claim that Michael is a knave or Liam is a knight.", "Liam cannot be a knight, because this would contradict the false claim of Luke that Michael is a knave or Liam is a knight.", "Assume Liam is a knave. No contradiction is found in their false claim that Chloe is a knight and Alexander is a knave.", "Chloe cannot be a knight, because this would contradict the claim of their own that Liam is not a knave.", "Assume Chloe is a knave. No contradiction is found in their false claim that Liam is not a knave.", "Alexander cannot be a knight, because this would contradict the claim of their own that Alexander is a knight and Luke is a knight.", "Assume Alexander is a knave. No contradiction is found in their false claim that Alexander is a knight and Luke is a knight.", "Samuel cannot be a knight, because this would contradict the claim of their own that Michael is not a knight.", "Assume Samuel is a knave. No contradiction is found in their false claim that Michael is not a knight.", "Oliver cannot be a knight, because this would contradict the claim of their own that If Chloe is a knave then Chloe is a knight.", "Assume Oliver is a knave. No contradiction is found in their false claim that If Chloe is a knave then Chloe is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('telling-truth', 0)), ('or', ('lying', 0), ('telling-truth', 5)), ('and', ('telling-truth', 2), ('telling-truth', 1)), ('not', ('telling-truth', 0)), ('->', ('lying', 6), ('telling-truth', 6)), ('and', ('telling-truth', 6), ('lying', 2)), ('not', ('lying', 5)))", "index": 1006}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Jack, Aurora, Benjamin, Owen, Mason, Jacob, and Luke. Jack said that Aurora is a knight and Jack is a knight. \"Luke is a knave and Jack is a knave,\" Aurora declared. Benjamin asserted: \"If Aurora is a knave then Luke is a knave\". Owen expressed that Luke is a knight or Benjamin is a knight. Mason asserted: \"Aurora is a knight if and only if Owen is a knight\". According to Jacob, \"If Luke is a knight then Benjamin is a knave\". As Luke put it, \"Jacob is not a knight\". So who is a knight and who is a knave?", "names": ["Jack", "Aurora", "Benjamin", "Owen", "Mason", "Jacob", "Luke"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, true, true, false], "solution_text": "Jack is a knave, Aurora is a knight, Benjamin is a knight, Owen is a knight, Mason is a knight, Jacob is a knight, and Luke is a knave.", "solution_text_format": "(1) Jack is a knave\n(2) Aurora is a knight\n(3) Benjamin is a knight\n(4) Owen is a knight\n(5) Mason is a knight\n(6) Jacob is a knight\n(7) Luke is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jack is a knight. No contradiction is found in their claim that Aurora is a knight and Jack is a knight.", "Aurora cannot be a knight, because this would contradict the claim of their own that Luke is a knave and Jack is a knave.", "Aurora cannot be a knave, because this would contradict the claim of Jack that Aurora is a knight and Jack is a knight.", "We have exhausted all possibilities for Aurora, so let us go back and reconsider Jack.", "Assume Jack is a knave. No contradiction is found in their false claim that Aurora is a knight and Jack is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that Luke is a knave and Jack is a knave.", "Luke cannot be a knight, because this would contradict the claim of Aurora that Luke is a knave and Jack is a knave.", "Assume Luke is a knave. No contradiction is found in their false claim that Jacob is not a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that If Luke is a knight then Benjamin is a knave.", "Assume Benjamin is a knight. No contradiction is found in their claim that If Aurora is a knave then Luke is a knave.", "Assume Owen is a knight. No contradiction is found in their claim that Luke is a knight or Benjamin is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that Aurora is a knight if and only if Owen is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('telling-truth', 0)), ('and', ('lying', 6), ('lying', 0)), ('->', ('lying', 1), ('lying', 6)), ('or', ('telling-truth', 6), ('telling-truth', 2)), ('<=>', ('telling-truth', 1), ('telling-truth', 3)), ('->', ('telling-truth', 6), ('lying', 2)), ('not', ('telling-truth', 5)))", "index": 1007}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Ella, Riley, Chloe, Oliver, Ava, Joseph, and Victoria. As Ella put it, \"Ava is a knight\". \"Victoria is a knight or Chloe is a knight\" - Riley. Chloe said, \"Ella is a knight or Joseph is a knave.\" Oliver noted, \"Joseph is a knight or Riley is a knight\". \"Victoria is a knight or Riley is a knight,\" Ava claimed. Joseph stated, \"Victoria is a knight and Ella is a knave\". Victoria was heard saying, \"Chloe is a knight if and only if Joseph is a knight\". So who is a knight and who is a knave?", "names": ["Ella", "Riley", "Chloe", "Oliver", "Ava", "Joseph", "Victoria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, true, false, false], "solution_text": "Ella is a knight, Riley is a knight, Chloe is a knight, Oliver is a knight, Ava is a knight, Joseph is a knave, and Victoria is a knave.", "solution_text_format": "(1) Ella is a knight\n(2) Riley is a knight\n(3) Chloe is a knight\n(4) Oliver is a knight\n(5) Ava is a knight\n(6) Joseph is a knave\n(7) Victoria is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ella is a knight. No contradiction is found in their claim that Ava is a knight.", "Assume Ava is a knight. No contradiction is found in their claim that Victoria is a knight or Riley is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that Chloe is a knight if and only if Joseph is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that Ella is a knight or Joseph is a knave.", "Joseph cannot be a knight, because this would contradict the claim of their own that Victoria is a knight and Ella is a knave.", "Joseph cannot be a knave, because this would contradict the claim of Victoria that Chloe is a knight if and only if Joseph is a knight.", "We have exhausted all possibilities for Joseph, so let us go back and reconsider Chloe.", "Chloe cannot be a knave, because this would contradict the false claim of their own that Ella is a knight or Joseph is a knave.", "We have exhausted all possibilities for Chloe, so let us go back and reconsider Victoria.", "Assume Victoria is a knave. No contradiction is found in their false claim that Chloe is a knight if and only if Joseph is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that Ella is a knight or Joseph is a knave.", "Joseph cannot be a knight, because this would contradict the claim of their own that Victoria is a knight and Ella is a knave.", "Assume Joseph is a knave. No contradiction is found in their false claim that Victoria is a knight and Ella is a knave.", "Assume Riley is a knight. No contradiction is found in their claim that Victoria is a knight or Chloe is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that Joseph is a knight or Riley is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 4), ('or', ('telling-truth', 6), ('telling-truth', 2)), ('or', ('telling-truth', 0), ('lying', 5)), ('or', ('telling-truth', 5), ('telling-truth', 1)), ('or', ('telling-truth', 6), ('telling-truth', 1)), ('and', ('telling-truth', 6), ('lying', 0)), ('<=>', ('telling-truth', 2), ('telling-truth', 5)))", "index": 1008}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Abigail, Jackson, Penelope, Aurora, Henry, Evelyn, and Ella. Abigail asserted: \"If Jackson is a knight then Aurora is a knave\". Jackson said, \"Penelope is a knight if and only if Abigail is a knave.\" Penelope expressed that Evelyn is not a knight. As Aurora put it, \"Penelope is a knight and Henry is a knave\". Henry noted, \"Ella is not a knight\". Evelyn noted, \"If Evelyn is a knight then Ella is a knave\". \"Abigail is not a knight\" - Ella. So who is a knight and who is a knave?", "names": ["Abigail", "Jackson", "Penelope", "Aurora", "Henry", "Evelyn", "Ella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false, true, true, false], "solution_text": "Abigail is a knight, Jackson is a knight, Penelope is a knave, Aurora is a knave, Henry is a knight, Evelyn is a knight, and Ella is a knave.", "solution_text_format": "(1) Abigail is a knight\n(2) Jackson is a knight\n(3) Penelope is a knave\n(4) Aurora is a knave\n(5) Henry is a knight\n(6) Evelyn is a knight\n(7) Ella is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Abigail is a knight. No contradiction is found in their claim that If Jackson is a knight then Aurora is a knave.", "Assume Jackson is a knight. No contradiction is found in their claim that Penelope is a knight if and only if Abigail is a knave.", "Penelope cannot be a knight, because this would contradict the claim of Jackson that Penelope is a knight if and only if Abigail is a knave.", "Assume Penelope is a knave. No contradiction is found in their false claim that Evelyn is not a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that If Evelyn is a knight then Ella is a knave.", "Ella cannot be a knight, because this would contradict the claim of Evelyn that If Evelyn is a knight then Ella is a knave.", "Assume Ella is a knave. No contradiction is found in their false claim that Abigail is not a knight.", "Aurora cannot be a knight, because this would contradict the claim of Abigail that If Jackson is a knight then Aurora is a knave.", "Assume Aurora is a knave. No contradiction is found in their false claim that Penelope is a knight and Henry is a knave.", "Assume Henry is a knight. No contradiction is found in their claim that Ella is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 1), ('lying', 3)), ('<=>', ('telling-truth', 2), ('lying', 0)), ('not', ('telling-truth', 5)), ('and', ('telling-truth', 2), ('lying', 4)), ('not', ('telling-truth', 6)), ('->', ('telling-truth', 5), ('lying', 6)), ('not', ('telling-truth', 0)))", "index": 1009}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Aria, Alexander, Luke, Charlotte, Harper, Benjamin, and Jacob. In a statement by Aria: \"Aria is a knight or Benjamin is a knave\". In Alexander's words: \"If Harper is a knight then Luke is a knave\". Luke remarked, \"Alexander is a knave and Alexander is a knight\". Charlotte expressed that Luke is a knight. \"Alexander is a knight,\" Harper mentioned. Benjamin said that Luke is a knave and Alexander is a knave. Jacob stated, \"Charlotte is a knight or Benjamin is a knight\". So who is a knight and who is a knave?", "names": ["Aria", "Alexander", "Luke", "Charlotte", "Harper", "Benjamin", "Jacob"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false, true, false, false], "solution_text": "Aria is a knight, Alexander is a knight, Luke is a knave, Charlotte is a knave, Harper is a knight, Benjamin is a knave, and Jacob is a knave.", "solution_text_format": "(1) Aria is a knight\n(2) Alexander is a knight\n(3) Luke is a knave\n(4) Charlotte is a knave\n(5) Harper is a knight\n(6) Benjamin is a knave\n(7) Jacob is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aria is a knight. No contradiction is found in their claim that Aria is a knight or Benjamin is a knave.", "Assume Benjamin is a knight. No contradiction is found in their claim that Luke is a knave and Alexander is a knave.", "Luke cannot be a knight, because this would contradict the claim of their own that Alexander is a knave and Alexander is a knight.", "Assume Luke is a knave. No contradiction is found in their false claim that Alexander is a knave and Alexander is a knight.", "Alexander cannot be a knight, because this would contradict the claim of Benjamin that Luke is a knave and Alexander is a knave.", "Alexander cannot be a knave, because this would contradict the false claim of their own that If Harper is a knight then Luke is a knave.", "We have exhausted all possibilities for Alexander and Luke, so let us go back and reconsider Benjamin.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Luke is a knave and Alexander is a knave.", "Luke cannot be a knight, because this would contradict the claim of their own that Alexander is a knave and Alexander is a knight.", "Assume Luke is a knave. No contradiction is found in their false claim that Alexander is a knave and Alexander is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that If Harper is a knight then Luke is a knave.", "Assume Harper is a knight. No contradiction is found in their claim that Alexander is a knight.", "Charlotte cannot be a knight, because this would contradict the claim of their own that Luke is a knight.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Luke is a knight.", "Jacob cannot be a knight, because this would contradict the claim of their own that Charlotte is a knight or Benjamin is a knight.", "Assume Jacob is a knave. No contradiction is found in their false claim that Charlotte is a knight or Benjamin is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 0), ('lying', 5)), ('->', ('telling-truth', 4), ('lying', 2)), ('and', ('lying', 1), ('telling-truth', 1)), ('telling-truth', 2), ('telling-truth', 1), ('and', ('lying', 2), ('lying', 1)), ('or', ('telling-truth', 3), ('telling-truth', 5)))", "index": 1010}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Michael, Joseph, Jackson, Aurora, Sebastian, Jacob, and Zoey. According to Michael, \"If Aurora is a knight then Jackson is a knight\". As Joseph put it, \"Sebastian is a knight if and only if Sebastian is a knave\". \"Michael is a knave if and only if Jacob is a knave\" - Jackson. Aurora was heard saying, \"Michael is a knight\". Sebastian said, \"Zoey is a knight and Joseph is a knight.\" \"Joseph is a knight if and only if Sebastian is a knight,\" Jacob declared. \"If Sebastian is a knave then Aurora is a knave,\" Zoey declared. So who is a knight and who is a knave?", "names": ["Michael", "Joseph", "Jackson", "Aurora", "Sebastian", "Jacob", "Zoey"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, false, true, false], "solution_text": "Michael is a knight, Joseph is a knave, Jackson is a knight, Aurora is a knight, Sebastian is a knave, Jacob is a knight, and Zoey is a knave.", "solution_text_format": "(1) Michael is a knight\n(2) Joseph is a knave\n(3) Jackson is a knight\n(4) Aurora is a knight\n(5) Sebastian is a knave\n(6) Jacob is a knight\n(7) Zoey is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Michael is a knight. No contradiction is found in their claim that If Aurora is a knight then Jackson is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that Michael is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that Michael is a knave if and only if Jacob is a knave.", "Assume Jacob is a knight. No contradiction is found in their claim that Joseph is a knight if and only if Sebastian is a knight.", "Joseph cannot be a knight, because this would contradict the claim of their own that Sebastian is a knight if and only if Sebastian is a knave.", "Assume Joseph is a knave. No contradiction is found in their false claim that Sebastian is a knight if and only if Sebastian is a knave.", "Sebastian cannot be a knight, because this would contradict the claim of their own that Zoey is a knight and Joseph is a knight.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Zoey is a knight and Joseph is a knight.", "Zoey cannot be a knight, because this would contradict the claim of their own that If Sebastian is a knave then Aurora is a knave.", "Assume Zoey is a knave. No contradiction is found in their false claim that If Sebastian is a knave then Aurora is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 3), ('telling-truth', 2)), ('<=>', ('telling-truth', 4), ('lying', 4)), ('<=>', ('lying', 0), ('lying', 5)), ('telling-truth', 0), ('and', ('telling-truth', 6), ('telling-truth', 1)), ('<=>', ('telling-truth', 1), ('telling-truth', 4)), ('->', ('lying', 4), ('lying', 3)))", "index": 1011}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Harper, Emma, Mia, Luke, Alexander, David, and Ethan. As Harper put it, \"David is not a knight\". In Emma's words: \"David is a knight\". Mia said that If Emma is a knight then Emma is a knave. Luke said, \"If Alexander is a knave then Emma is a knight.\" Alexander was heard saying, \"If David is a knight then Harper is a knave\". \"Alexander is not a knight\" - David. \"Harper is a knight,\" Ethan mentioned. So who is a knight and who is a knave?", "names": ["Harper", "Emma", "Mia", "Luke", "Alexander", "David", "Ethan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, true, false, true], "solution_text": "Harper is a knight, Emma is a knave, Mia is a knight, Luke is a knight, Alexander is a knight, David is a knave, and Ethan is a knight.", "solution_text_format": "(1) Harper is a knight\n(2) Emma is a knave\n(3) Mia is a knight\n(4) Luke is a knight\n(5) Alexander is a knight\n(6) David is a knave\n(7) Ethan is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Harper is a knight. No contradiction is found in their claim that David is not a knight.", "David cannot be a knight, because this would contradict the claim of Harper that David is not a knight.", "Assume David is a knave. No contradiction is found in their false claim that Alexander is not a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that If David is a knight then Harper is a knave.", "Emma cannot be a knight, because this would contradict the claim of their own that David is a knight.", "Assume Emma is a knave. No contradiction is found in their false claim that David is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that If Emma is a knight then Emma is a knave.", "Assume Luke is a knight. No contradiction is found in their claim that If Alexander is a knave then Emma is a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that Harper is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 5)), ('telling-truth', 5), ('->', ('telling-truth', 1), ('lying', 1)), ('->', ('lying', 4), ('telling-truth', 1)), ('->', ('telling-truth', 5), ('lying', 0)), ('not', ('telling-truth', 4)), ('telling-truth', 0))", "index": 1012}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Ella, Lucas, Olivia, Chloe, Avery, William, and Ethan. \"Ethan is a knave or Olivia is a knave\" - Ella. Lucas was heard saying, \"Ella is a knave or Chloe is a knave\". \"Lucas is a knight and Chloe is a knight,\" Olivia declared. \"If William is a knight then Ella is a knight,\" Chloe mentioned. According to Avery, \"If Lucas is a knave then Lucas is a knight\". William commented, \"Chloe is a knight and Ethan is a knave\". In a statement by Ethan: \"If Chloe is a knight then Lucas is a knave\". So who is a knight and who is a knave?", "names": ["Ella", "Lucas", "Olivia", "Chloe", "Avery", "William", "Ethan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, false, false, true], "solution_text": "Ella is a knight, Lucas is a knave, Olivia is a knave, Chloe is a knight, Avery is a knave, William is a knave, and Ethan is a knight.", "solution_text_format": "(1) Ella is a knight\n(2) Lucas is a knave\n(3) Olivia is a knave\n(4) Chloe is a knight\n(5) Avery is a knave\n(6) William is a knave\n(7) Ethan is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ella is a knight. No contradiction is found in their claim that Ethan is a knave or Olivia is a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that If Chloe is a knight then Lucas is a knave.", "Assume Chloe is a knight. No contradiction is found in their claim that If William is a knight then Ella is a knight.", "William cannot be a knight, because this would contradict the claim of their own that Chloe is a knight and Ethan is a knave.", "Assume William is a knave. No contradiction is found in their false claim that Chloe is a knight and Ethan is a knave.", "Lucas cannot be a knight, because this would contradict the claim of their own that Ella is a knave or Chloe is a knave.", "Assume Lucas is a knave. No contradiction is found in their false claim that Ella is a knave or Chloe is a knave.", "Olivia cannot be a knight, because this would contradict the claim of Ella that Ethan is a knave or Olivia is a knave.", "Assume Olivia is a knave. No contradiction is found in their false claim that Lucas is a knight and Chloe is a knight.", "Avery cannot be a knight, because this would contradict the claim of their own that If Lucas is a knave then Lucas is a knight.", "Assume Avery is a knave. No contradiction is found in their false claim that If Lucas is a knave then Lucas is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 6), ('lying', 2)), ('or', ('lying', 0), ('lying', 3)), ('and', ('telling-truth', 1), ('telling-truth', 3)), ('->', ('telling-truth', 5), ('telling-truth', 0)), ('->', ('lying', 1), ('telling-truth', 1)), ('and', ('telling-truth', 3), ('lying', 6)), ('->', ('telling-truth', 3), ('lying', 1)))", "index": 1013}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Henry, Charlotte, Lucas, Daniel, Jacob, Lily, and Harper. Henry expressed that If Jacob is a knave then Lily is a knave. Charlotte stated, \"Jacob is a knave or Henry is a knave\". Lucas stated, \"Jacob is a knave if and only if Henry is a knave\". In Daniel's words: \"Henry is a knight and Lucas is a knight\". Jacob noted, \"Harper is a knave\". According to Lily, \"Jacob is not a knight\". \"Henry is a knave or Charlotte is a knave\" - Harper. So who is a knight and who is a knave?", "names": ["Henry", "Charlotte", "Lucas", "Daniel", "Jacob", "Lily", "Harper"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false, false, true, true], "solution_text": "Henry is a knave, Charlotte is a knight, Lucas is a knight, Daniel is a knave, Jacob is a knave, Lily is a knight, and Harper is a knight.", "solution_text_format": "(1) Henry is a knave\n(2) Charlotte is a knight\n(3) Lucas is a knight\n(4) Daniel is a knave\n(5) Jacob is a knave\n(6) Lily is a knight\n(7) Harper is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Henry is a knight. No contradiction is found in their claim that If Jacob is a knave then Lily is a knave.", "Assume Jacob is a knight. No contradiction is found in their claim that Harper is a knave.", "Harper cannot be a knight, because this would contradict the claim of Jacob that Harper is a knave.", "Assume Harper is a knave. No contradiction is found in their false claim that Henry is a knave or Charlotte is a knave.", "Charlotte cannot be a knight, because this would contradict the claim of their own that Jacob is a knave or Henry is a knave.", "Charlotte cannot be a knave, because this would contradict the false claim of Harper that Henry is a knave or Charlotte is a knave.", "We have exhausted all possibilities for Charlotte and Harper, so let us go back and reconsider Jacob.", "Assume Jacob is a knave. No contradiction is found in their false claim that Harper is a knave.", "Assume Harper is a knight. No contradiction is found in their claim that Henry is a knave or Charlotte is a knave.", "Charlotte cannot be a knight, because this would contradict the claim of Harper that Henry is a knave or Charlotte is a knave.", "Charlotte cannot be a knave, because this would contradict the false claim of their own that Jacob is a knave or Henry is a knave.", "We have exhausted all possibilities for Charlotte, so let us go back and reconsider Harper.", "Harper cannot be a knave, because this would contradict the false claim of Jacob that Harper is a knave.", "We have exhausted all possibilities for Harper and Jacob, so let us go back and reconsider Henry.", "Assume Henry is a knave. No contradiction is found in their false claim that If Jacob is a knave then Lily is a knave.", "Jacob cannot be a knight, because this would contradict the false claim of Henry that If Jacob is a knave then Lily is a knave.", "Assume Jacob is a knave. No contradiction is found in their false claim that Harper is a knave.", "Assume Harper is a knight. No contradiction is found in their claim that Henry is a knave or Charlotte is a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that Jacob is a knave or Henry is a knave.", "Assume Lily is a knight. No contradiction is found in their claim that Jacob is not a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that Jacob is a knave if and only if Henry is a knave.", "Daniel cannot be a knight, because this would contradict the claim of their own that Henry is a knight and Lucas is a knight.", "Assume Daniel is a knave. No contradiction is found in their false claim that Henry is a knight and Lucas is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 4), ('lying', 5)), ('or', ('lying', 4), ('lying', 0)), ('<=>', ('lying', 4), ('lying', 0)), ('and', ('telling-truth', 0), ('telling-truth', 2)), ('lying', 6), ('not', ('telling-truth', 4)), ('or', ('lying', 0), ('lying', 1)))", "index": 1014}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: James, Owen, Logan, Elizabeth, Jacob, Scarlett, and Zoey. \"Elizabeth is a knight\" - James. \"If Zoey is a knave then Elizabeth is a knight,\" Owen declared. In a statement by Logan: \"If James is a knight then Logan is a knight\". Elizabeth was heard saying, \"Elizabeth is a knight if and only if Zoey is a knave\". Jacob stated, \"If Zoey is a knave then Elizabeth is a knave\". Scarlett noted, \"Jacob is a knave and Owen is a knave\". Zoey was heard saying, \"Scarlett is a knight if and only if Jacob is a knight\". So who is a knight and who is a knave?", "names": ["James", "Owen", "Logan", "Elizabeth", "Jacob", "Scarlett", "Zoey"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false, true, false, false], "solution_text": "James is a knave, Owen is a knave, Logan is a knight, Elizabeth is a knave, Jacob is a knight, Scarlett is a knave, and Zoey is a knave.", "solution_text_format": "(1) James is a knave\n(2) Owen is a knave\n(3) Logan is a knight\n(4) Elizabeth is a knave\n(5) Jacob is a knight\n(6) Scarlett is a knave\n(7) Zoey is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume James is a knight. No contradiction is found in their claim that Elizabeth is a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Elizabeth is a knight if and only if Zoey is a knave.", "Zoey cannot be a knight, because this would contradict the claim of Elizabeth that Elizabeth is a knight if and only if Zoey is a knave.", "Assume Zoey is a knave. No contradiction is found in their false claim that Scarlett is a knight if and only if Jacob is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that Jacob is a knave and Owen is a knave.", "Jacob cannot be a knight, because this would contradict the claim of their own that If Zoey is a knave then Elizabeth is a knave.", "Assume Jacob is a knave. No contradiction is found in their false claim that If Zoey is a knave then Elizabeth is a knave.", "Owen cannot be a knight, because this would contradict the claim of Scarlett that Jacob is a knave and Owen is a knave.", "Owen cannot be a knave, because this would contradict the false claim of their own that If Zoey is a knave then Elizabeth is a knight.", "We have exhausted all possibilities for Owen and Jacob, so let us go back and reconsider Scarlett.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Jacob is a knave and Owen is a knave.", "Jacob cannot be a knight, because this would contradict the claim of their own that If Zoey is a knave then Elizabeth is a knave.", "Jacob cannot be a knave, because this would contradict the false claim of Zoey that Scarlett is a knight if and only if Jacob is a knight.", "We have exhausted all possibilities for Jacob, Scarlett, and Zoey, so let us go back and reconsider Elizabeth.", "Elizabeth cannot be a knave, because this would contradict the claim of James that Elizabeth is a knight.", "We have exhausted all possibilities for Elizabeth, so let us go back and reconsider James.", "Assume James is a knave. No contradiction is found in their false claim that Elizabeth is a knight.", "Elizabeth cannot be a knight, because this would contradict the false claim of James that Elizabeth is a knight.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Elizabeth is a knight if and only if Zoey is a knave.", "Zoey cannot be a knight, because this would contradict the false claim of Elizabeth that Elizabeth is a knight if and only if Zoey is a knave.", "Assume Zoey is a knave. No contradiction is found in their false claim that Scarlett is a knight if and only if Jacob is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that Jacob is a knave and Owen is a knave.", "Jacob cannot be a knight, because this would contradict the claim of Scarlett that Jacob is a knave and Owen is a knave.", "Jacob cannot be a knave, because this would contradict the false claim of their own that If Zoey is a knave then Elizabeth is a knave.", "We have exhausted all possibilities for Jacob, so let us go back and reconsider Scarlett.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Jacob is a knave and Owen is a knave.", "Assume Jacob is a knight. No contradiction is found in their claim that If Zoey is a knave then Elizabeth is a knave.", "Owen cannot be a knight, because this would contradict the claim of their own that If Zoey is a knave then Elizabeth is a knight.", "Assume Owen is a knave. No contradiction is found in their false claim that If Zoey is a knave then Elizabeth is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that If James is a knight then Logan is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 3), ('->', ('lying', 6), ('telling-truth', 3)), ('->', ('telling-truth', 0), ('telling-truth', 2)), ('<=>', ('telling-truth', 3), ('lying', 6)), ('->', ('lying', 6), ('lying', 3)), ('and', ('lying', 4), ('lying', 1)), ('<=>', ('telling-truth', 5), ('telling-truth', 4)))", "index": 1015}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: James, Michael, Samuel, Henry, Abigail, Harper, and Sofia. In a statement by James: \"Michael is a knight if and only if Samuel is a knave\". \"Henry is a knave or Harper is a knight,\" Michael declared. In Samuel's words: \"Michael is not a knave\". Henry was heard saying, \"If Harper is a knight then Samuel is a knight\". Abigail told you that Harper is a knight and Abigail is a knight. Harper noted, \"Sofia is a knave and Henry is a knave\". Sofia said, \"If Henry is a knave then Michael is a knight.\" So who is a knight and who is a knave?", "names": ["James", "Michael", "Samuel", "Henry", "Abigail", "Harper", "Sofia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true, false, false, true], "solution_text": "James is a knave, Michael is a knave, Samuel is a knave, Henry is a knight, Abigail is a knave, Harper is a knave, and Sofia is a knight.", "solution_text_format": "(1) James is a knave\n(2) Michael is a knave\n(3) Samuel is a knave\n(4) Henry is a knight\n(5) Abigail is a knave\n(6) Harper is a knave\n(7) Sofia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume James is a knight. No contradiction is found in their claim that Michael is a knight if and only if Samuel is a knave.", "Assume Michael is a knight. No contradiction is found in their claim that Henry is a knave or Harper is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that If Harper is a knight then Samuel is a knight.", "Harper cannot be a knight, because this would contradict the claim of their own that Sofia is a knave and Henry is a knave.", "Harper cannot be a knave, because this would contradict the claim of Michael that Henry is a knave or Harper is a knight.", "We have exhausted all possibilities for Harper, so let us go back and reconsider Henry.", "Assume Henry is a knave. No contradiction is found in their false claim that If Harper is a knight then Samuel is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that Sofia is a knave and Henry is a knave.", "Sofia cannot be a knight, because this would contradict the claim of Harper that Sofia is a knave and Henry is a knave.", "Sofia cannot be a knave, because this would contradict the false claim of their own that If Henry is a knave then Michael is a knight.", "We have exhausted all possibilities for Sofia, so let us go back and reconsider Harper.", "Harper cannot be a knave, because this would contradict the false claim of Henry that If Harper is a knight then Samuel is a knight.", "We have exhausted all possibilities for Harper and Henry, so let us go back and reconsider Michael.", "Assume Michael is a knave. No contradiction is found in their false claim that Henry is a knave or Harper is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that If Harper is a knight then Samuel is a knight.", "Harper cannot be a knight, because this would contradict the false claim of Michael that Henry is a knave or Harper is a knight.", "Assume Harper is a knave. No contradiction is found in their false claim that Sofia is a knave and Henry is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that If Henry is a knave then Michael is a knight.", "Samuel cannot be a knight, because this would contradict the claim of their own that Michael is not a knave.", "Samuel cannot be a knave, because this would contradict the claim of James that Michael is a knight if and only if Samuel is a knave.", "We have exhausted all possibilities for Samuel, so let us go back and reconsider Sofia.", "Sofia cannot be a knave, because this would contradict the false claim of their own that If Henry is a knave then Michael is a knight.", "We have exhausted all possibilities for Sofia and Harper, so let us go back and reconsider Henry.", "Henry cannot be a knave, because this would contradict the false claim of Michael that Henry is a knave or Harper is a knight.", "We have exhausted all possibilities for Henry and Michael, so let us go back and reconsider James.", "Assume James is a knave. No contradiction is found in their false claim that Michael is a knight if and only if Samuel is a knave.", "Assume Michael is a knight. No contradiction is found in their claim that Henry is a knave or Harper is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that If Harper is a knight then Samuel is a knight.", "Harper cannot be a knight, because this would contradict the claim of their own that Sofia is a knave and Henry is a knave.", "Harper cannot be a knave, because this would contradict the claim of Michael that Henry is a knave or Harper is a knight.", "We have exhausted all possibilities for Harper, so let us go back and reconsider Henry.", "Assume Henry is a knave. No contradiction is found in their false claim that If Harper is a knight then Samuel is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that Sofia is a knave and Henry is a knave.", "Sofia cannot be a knight, because this would contradict the claim of Harper that Sofia is a knave and Henry is a knave.", "Sofia cannot be a knave, because this would contradict the false claim of their own that If Henry is a knave then Michael is a knight.", "We have exhausted all possibilities for Sofia, so let us go back and reconsider Harper.", "Harper cannot be a knave, because this would contradict the false claim of Henry that If Harper is a knight then Samuel is a knight.", "We have exhausted all possibilities for Harper and Henry, so let us go back and reconsider Michael.", "Assume Michael is a knave. No contradiction is found in their false claim that Henry is a knave or Harper is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that If Harper is a knight then Samuel is a knight.", "Harper cannot be a knight, because this would contradict the false claim of Michael that Henry is a knave or Harper is a knight.", "Assume Harper is a knave. No contradiction is found in their false claim that Sofia is a knave and Henry is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that If Henry is a knave then Michael is a knight.", "Samuel cannot be a knight, because this would contradict the false claim of James that Michael is a knight if and only if Samuel is a knave.", "Assume Samuel is a knave. No contradiction is found in their false claim that Michael is not a knave.", "Abigail cannot be a knight, because this would contradict the claim of their own that Harper is a knight and Abigail is a knight.", "Assume Abigail is a knave. No contradiction is found in their false claim that Harper is a knight and Abigail is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('lying', 2)), ('or', ('lying', 3), ('telling-truth', 5)), ('not', ('lying', 1)), ('->', ('telling-truth', 5), ('telling-truth', 2)), ('and', ('telling-truth', 5), ('telling-truth', 4)), ('and', ('lying', 6), ('lying', 3)), ('->', ('lying', 3), ('telling-truth', 1)))", "index": 1016}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Charlotte, Victoria, Jackson, Henry, Ella, James, and Matthew. Charlotte stated, \"Victoria is a knave or James is a knave\". According to Victoria, \"Henry is not a knave\". Jackson said that Victoria is a knight. According to Henry, \"If Henry is a knight then Jackson is a knight\". Ella expressed that Matthew is a knave. James told you that Charlotte is a knight and Ella is a knave. In Matthew's words: \"Henry is a knave\". So who is a knight and who is a knave?", "names": ["Charlotte", "Victoria", "Jackson", "Henry", "Ella", "James", "Matthew"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, true, false, false], "solution_text": "Charlotte is a knight, Victoria is a knight, Jackson is a knight, Henry is a knight, Ella is a knight, James is a knave, and Matthew is a knave.", "solution_text_format": "(1) Charlotte is a knight\n(2) Victoria is a knight\n(3) Jackson is a knight\n(4) Henry is a knight\n(5) Ella is a knight\n(6) James is a knave\n(7) Matthew is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Charlotte is a knight. No contradiction is found in their claim that Victoria is a knave or James is a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that Henry is not a knave.", "Assume Henry is a knight. No contradiction is found in their claim that If Henry is a knight then Jackson is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that Victoria is a knight.", "James cannot be a knight, because this would contradict the claim of Charlotte that Victoria is a knave or James is a knave.", "Assume James is a knave. No contradiction is found in their false claim that Charlotte is a knight and Ella is a knave.", "Assume Ella is a knight. No contradiction is found in their claim that Matthew is a knave.", "Matthew cannot be a knight, because this would contradict the claim of Ella that Matthew is a knave.", "Assume Matthew is a knave. No contradiction is found in their false claim that Henry is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('lying', 5)), ('not', ('lying', 3)), ('telling-truth', 1), ('->', ('telling-truth', 3), ('telling-truth', 2)), ('lying', 6), ('and', ('telling-truth', 0), ('lying', 4)), ('lying', 3))", "index": 1017}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Mia, Avery, Sebastian, Michael, William, Daniel, and Ava. Mia noted, \"Avery is a knight or Sebastian is a knight\". Avery said that Sebastian is a knight if and only if Avery is a knight. In Sebastian's words: \"Mia is a knave or Avery is a knight\". In a statement by Michael: \"Avery is a knave or Mia is a knight\". William remarked, \"Sebastian is a knave and Avery is a knave\". In a statement by Daniel: \"If Mia is a knave then Mia is a knight\". \"If Sebastian is a knight then William is a knight,\" Ava claimed. So who is a knight and who is a knave?", "names": ["Mia", "Avery", "Sebastian", "Michael", "William", "Daniel", "Ava"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, false, true, false], "solution_text": "Mia is a knight, Avery is a knight, Sebastian is a knight, Michael is a knight, William is a knave, Daniel is a knight, and Ava is a knave.", "solution_text_format": "(1) Mia is a knight\n(2) Avery is a knight\n(3) Sebastian is a knight\n(4) Michael is a knight\n(5) William is a knave\n(6) Daniel is a knight\n(7) Ava is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Mia is a knight. No contradiction is found in their claim that Avery is a knight or Sebastian is a knight.", "Assume Avery is a knight. No contradiction is found in their claim that Sebastian is a knight if and only if Avery is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Mia is a knave or Avery is a knight.", "Assume Michael is a knight. No contradiction is found in their claim that Avery is a knave or Mia is a knight.", "William cannot be a knight, because this would contradict the claim of their own that Sebastian is a knave and Avery is a knave.", "Assume William is a knave. No contradiction is found in their false claim that Sebastian is a knave and Avery is a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that If Mia is a knave then Mia is a knight.", "Ava cannot be a knight, because this would contradict the claim of their own that If Sebastian is a knight then William is a knight.", "Assume Ava is a knave. No contradiction is found in their false claim that If Sebastian is a knight then William is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 1), ('telling-truth', 2)), ('<=>', ('telling-truth', 2), ('telling-truth', 1)), ('or', ('lying', 0), ('telling-truth', 1)), ('or', ('lying', 1), ('telling-truth', 0)), ('and', ('lying', 2), ('lying', 1)), ('->', ('lying', 0), ('telling-truth', 0)), ('->', ('telling-truth', 2), ('telling-truth', 4)))", "index": 1018}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Emily, Sophia, Victoria, Aria, Ella, Isabella, and Chloe. Emily asserted: \"Ella is not a knave\". Sophia said, \"Aria is a knight or Isabella is a knave.\" Victoria noted, \"If Emily is a knight then Ella is a knight\". Aria was heard saying, \"If Sophia is a knight then Victoria is a knave\". Ella remarked, \"Sophia is a knave if and only if Sophia is a knight\". Isabella said that Victoria is a knave or Chloe is a knight. According to Chloe, \"Victoria is a knight and Isabella is a knight\". So who is a knight and who is a knave?", "names": ["Emily", "Sophia", "Victoria", "Aria", "Ella", "Isabella", "Chloe"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false, false, false, false], "solution_text": "Emily is a knave, Sophia is a knight, Victoria is a knight, Aria is a knave, Ella is a knave, Isabella is a knave, and Chloe is a knave.", "solution_text_format": "(1) Emily is a knave\n(2) Sophia is a knight\n(3) Victoria is a knight\n(4) Aria is a knave\n(5) Ella is a knave\n(6) Isabella is a knave\n(7) Chloe is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Emily is a knight. No contradiction is found in their claim that Ella is not a knave.", "Ella cannot be a knight, because this would contradict the claim of their own that Sophia is a knave if and only if Sophia is a knight.", "Ella cannot be a knave, because this would contradict the claim of Emily that Ella is not a knave.", "We have exhausted all possibilities for Ella, so let us go back and reconsider Emily.", "Assume Emily is a knave. No contradiction is found in their false claim that Ella is not a knave.", "Ella cannot be a knight, because this would contradict the false claim of Emily that Ella is not a knave.", "Assume Ella is a knave. No contradiction is found in their false claim that Sophia is a knave if and only if Sophia is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that Aria is a knight or Isabella is a knave.", "Assume Aria is a knight. No contradiction is found in their claim that If Sophia is a knight then Victoria is a knave.", "Victoria cannot be a knight, because this would contradict the claim of Aria that If Sophia is a knight then Victoria is a knave.", "Victoria cannot be a knave, because this would contradict the false claim of their own that If Emily is a knight then Ella is a knight.", "We have exhausted all possibilities for Victoria, so let us go back and reconsider Aria.", "Assume Aria is a knave. No contradiction is found in their false claim that If Sophia is a knight then Victoria is a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that If Emily is a knight then Ella is a knight.", "Isabella cannot be a knight, because this would contradict the claim of Sophia that Aria is a knight or Isabella is a knave.", "Assume Isabella is a knave. No contradiction is found in their false claim that Victoria is a knave or Chloe is a knight.", "Chloe cannot be a knight, because this would contradict the false claim of Isabella that Victoria is a knave or Chloe is a knight.", "Assume Chloe is a knave. No contradiction is found in their false claim that Victoria is a knight and Isabella is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 4)), ('or', ('telling-truth', 3), ('lying', 5)), ('->', ('telling-truth', 0), ('telling-truth', 4)), ('->', ('telling-truth', 1), ('lying', 2)), ('<=>', ('lying', 1), ('telling-truth', 1)), ('or', ('lying', 2), ('telling-truth', 6)), ('and', ('telling-truth', 2), ('telling-truth', 5)))", "index": 1019}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: James, Oliver, Olivia, Penelope, Sebastian, Michael, and Aria. In a statement by James: \"Oliver is a knight or Sebastian is a knight\". Oliver asserted: \"If Olivia is a knight then Sebastian is a knave\". As Olivia put it, \"Olivia is a knight if and only if Oliver is a knight\". \"Olivia is a knave or Sebastian is a knight,\" Penelope claimed. Sebastian noted, \"Oliver is a knave or Olivia is a knight\". Michael said that Olivia is a knight and James is a knight. Aria noted, \"If Michael is a knave then Penelope is a knave\". So who is a knight and who is a knave?", "names": ["James", "Oliver", "Olivia", "Penelope", "Sebastian", "Michael", "Aria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true, false, false, false], "solution_text": "James is a knight, Oliver is a knight, Olivia is a knave, Penelope is a knight, Sebastian is a knave, Michael is a knave, and Aria is a knave.", "solution_text_format": "(1) James is a knight\n(2) Oliver is a knight\n(3) Olivia is a knave\n(4) Penelope is a knight\n(5) Sebastian is a knave\n(6) Michael is a knave\n(7) Aria is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume James is a knight. No contradiction is found in their claim that Oliver is a knight or Sebastian is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that If Olivia is a knight then Sebastian is a knave.", "Assume Olivia is a knight. No contradiction is found in their claim that Olivia is a knight if and only if Oliver is a knight.", "Sebastian cannot be a knight, because this would contradict the claim of Oliver that If Olivia is a knight then Sebastian is a knave.", "Sebastian cannot be a knave, because this would contradict the false claim of their own that Oliver is a knave or Olivia is a knight.", "We have exhausted all possibilities for Sebastian, so let us go back and reconsider Olivia.", "Assume Olivia is a knave. No contradiction is found in their false claim that Olivia is a knight if and only if Oliver is a knight.", "Sebastian cannot be a knight, because this would contradict the claim of their own that Oliver is a knave or Olivia is a knight.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Oliver is a knave or Olivia is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that Olivia is a knave or Sebastian is a knight.", "Michael cannot be a knight, because this would contradict the claim of their own that Olivia is a knight and James is a knight.", "Assume Michael is a knave. No contradiction is found in their false claim that Olivia is a knight and James is a knight.", "Aria cannot be a knight, because this would contradict the claim of their own that If Michael is a knave then Penelope is a knave.", "Assume Aria is a knave. No contradiction is found in their false claim that If Michael is a knave then Penelope is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 1), ('telling-truth', 4)), ('->', ('telling-truth', 2), ('lying', 4)), ('<=>', ('telling-truth', 2), ('telling-truth', 1)), ('or', ('lying', 2), ('telling-truth', 4)), ('or', ('lying', 1), ('telling-truth', 2)), ('and', ('telling-truth', 2), ('telling-truth', 0)), ('->', ('lying', 5), ('lying', 3)))", "index": 1020}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Olivia, Chloe, Henry, Ava, Lily, Grace, and Elizabeth. Olivia was heard saying, \"If Henry is a knave then Lily is a knight\". Chloe told you that Ava is a knave or Henry is a knight. \"If Lily is a knight then Chloe is a knave,\" Henry mentioned. \"Olivia is a knave,\" Ava declared. According to Lily, \"If Lily is a knight then Chloe is a knight\". Grace noted, \"Olivia is a knave and Chloe is a knave\". Elizabeth said that Lily is a knight or Grace is a knight. So who is a knight and who is a knave?", "names": ["Olivia", "Chloe", "Henry", "Ava", "Lily", "Grace", "Elizabeth"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false, true, false, true], "solution_text": "Olivia is a knight, Chloe is a knight, Henry is a knave, Ava is a knave, Lily is a knight, Grace is a knave, and Elizabeth is a knight.", "solution_text_format": "(1) Olivia is a knight\n(2) Chloe is a knight\n(3) Henry is a knave\n(4) Ava is a knave\n(5) Lily is a knight\n(6) Grace is a knave\n(7) Elizabeth is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Olivia is a knight. No contradiction is found in their claim that If Henry is a knave then Lily is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that If Lily is a knight then Chloe is a knave.", "Assume Lily is a knight. No contradiction is found in their claim that If Lily is a knight then Chloe is a knight.", "Chloe cannot be a knight, because this would contradict the claim of Henry that If Lily is a knight then Chloe is a knave.", "Chloe cannot be a knave, because this would contradict the false claim of their own that Ava is a knave or Henry is a knight.", "We have exhausted all possibilities for Chloe, so let us go back and reconsider Lily.", "Lily cannot be a knave, because this would contradict the false claim of their own that If Lily is a knight then Chloe is a knight.", "We have exhausted all possibilities for Lily, so let us go back and reconsider Henry.", "Assume Henry is a knave. No contradiction is found in their false claim that If Lily is a knight then Chloe is a knave.", "Assume Lily is a knight. No contradiction is found in their claim that If Lily is a knight then Chloe is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that Ava is a knave or Henry is a knight.", "Ava cannot be a knight, because this would contradict the claim of Chloe that Ava is a knave or Henry is a knight.", "Assume Ava is a knave. No contradiction is found in their false claim that Olivia is a knave.", "Grace cannot be a knight, because this would contradict the claim of their own that Olivia is a knave and Chloe is a knave.", "Assume Grace is a knave. No contradiction is found in their false claim that Olivia is a knave and Chloe is a knave.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Lily is a knight or Grace is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 2), ('telling-truth', 4)), ('or', ('lying', 3), ('telling-truth', 2)), ('->', ('telling-truth', 4), ('lying', 1)), ('lying', 0), ('->', ('telling-truth', 4), ('telling-truth', 1)), ('and', ('lying', 0), ('lying', 1)), ('or', ('telling-truth', 4), ('telling-truth', 5)))", "index": 1021}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Luke, Sebastian, Emma, Evelyn, Zoey, Samuel, and Ethan. Luke told you that Ethan is a knave if and only if Sebastian is a knave. Sebastian asserted: \"If Zoey is a knave then Ethan is a knave\". Emma commented, \"Ethan is a knave and Ethan is a knight\". In Evelyn's words: \"Sebastian is a knave\". Zoey was heard saying, \"If Emma is a knight then Samuel is a knave\". Samuel said, \"Evelyn is a knight or Sebastian is a knave.\" \"If Zoey is a knave then Evelyn is a knave,\" Ethan mentioned. So who is a knight and who is a knave?", "names": ["Luke", "Sebastian", "Emma", "Evelyn", "Zoey", "Samuel", "Ethan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false, true, false, true], "solution_text": "Luke is a knight, Sebastian is a knight, Emma is a knave, Evelyn is a knave, Zoey is a knight, Samuel is a knave, and Ethan is a knight.", "solution_text_format": "(1) Luke is a knight\n(2) Sebastian is a knight\n(3) Emma is a knave\n(4) Evelyn is a knave\n(5) Zoey is a knight\n(6) Samuel is a knave\n(7) Ethan is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Luke is a knight. No contradiction is found in their claim that Ethan is a knave if and only if Sebastian is a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that If Zoey is a knave then Evelyn is a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that If Emma is a knight then Samuel is a knave.", "Emma cannot be a knight, because this would contradict the claim of their own that Ethan is a knave and Ethan is a knight.", "Assume Emma is a knave. No contradiction is found in their false claim that Ethan is a knave and Ethan is a knight.", "Assume Samuel is a knight. No contradiction is found in their claim that Evelyn is a knight or Sebastian is a knave.", "Assume Evelyn is a knight. No contradiction is found in their claim that Sebastian is a knave.", "Sebastian cannot be a knight, because this would contradict the claim of Evelyn that Sebastian is a knave.", "Sebastian cannot be a knave, because this would contradict the claim of Luke that Ethan is a knave if and only if Sebastian is a knave.", "We have exhausted all possibilities for Sebastian, so let us go back and reconsider Evelyn.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Sebastian is a knave.", "Sebastian cannot be a knight, because this would contradict the claim of Samuel that Evelyn is a knight or Sebastian is a knave.", "Sebastian cannot be a knave, because this would contradict the claim of Luke that Ethan is a knave if and only if Sebastian is a knave.", "We have exhausted all possibilities for Sebastian and Evelyn, so let us go back and reconsider Samuel.", "Assume Samuel is a knave. No contradiction is found in their false claim that Evelyn is a knight or Sebastian is a knave.", "Evelyn cannot be a knight, because this would contradict the false claim of Samuel that Evelyn is a knight or Sebastian is a knave.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Sebastian is a knave.", "Assume Sebastian is a knight. No contradiction is found in their claim that If Zoey is a knave then Ethan is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 6), ('lying', 1)), ('->', ('lying', 4), ('lying', 6)), ('and', ('lying', 6), ('telling-truth', 6)), ('lying', 1), ('->', ('telling-truth', 2), ('lying', 5)), ('or', ('telling-truth', 3), ('lying', 1)), ('->', ('lying', 4), ('lying', 3)))", "index": 1022}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Aiden, Benjamin, Amelia, Zoey, Alexander, Avery, and Logan. Aiden stated, \"If Logan is a knight then Amelia is a knight\". \"Alexander is not a knave,\" Benjamin declared. In Amelia's words: \"Benjamin is a knight if and only if Amelia is a knight\". In Zoey's words: \"Logan is a knight\". Alexander asserted: \"Zoey is not a knave\". Avery expressed that Benjamin is a knave or Alexander is a knave. Logan asserted: \"Alexander is a knave or Amelia is a knight\". So who is a knight and who is a knave?", "names": ["Aiden", "Benjamin", "Amelia", "Zoey", "Alexander", "Avery", "Logan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, true, false, true], "solution_text": "Aiden is a knight, Benjamin is a knight, Amelia is a knight, Zoey is a knight, Alexander is a knight, Avery is a knave, and Logan is a knight.", "solution_text_format": "(1) Aiden is a knight\n(2) Benjamin is a knight\n(3) Amelia is a knight\n(4) Zoey is a knight\n(5) Alexander is a knight\n(6) Avery is a knave\n(7) Logan is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aiden is a knight. No contradiction is found in their claim that If Logan is a knight then Amelia is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that Alexander is a knave or Amelia is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that Zoey is not a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that Logan is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that Benjamin is a knight if and only if Amelia is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that Alexander is not a knave.", "Avery cannot be a knight, because this would contradict the claim of their own that Benjamin is a knave or Alexander is a knave.", "Assume Avery is a knave. No contradiction is found in their false claim that Benjamin is a knave or Alexander is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 6), ('telling-truth', 2)), ('not', ('lying', 4)), ('<=>', ('telling-truth', 1), ('telling-truth', 2)), ('telling-truth', 6), ('not', ('lying', 3)), ('or', ('lying', 1), ('lying', 4)), ('or', ('lying', 4), ('telling-truth', 2)))", "index": 1023}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Ella, James, Jack, Henry, William, Zoey, and Ethan. Ella expressed that Zoey is not a knight. James stated, \"Zoey is a knave or James is a knight\". Jack stated, \"Henry is a knave if and only if William is a knight\". \"Zoey is not a knight,\" Henry declared. As William put it, \"James is a knave and Zoey is a knave\". \"Jack is a knight or Ethan is a knight\" - Zoey. Ethan noted, \"Jack is a knave and James is a knave\". So who is a knight and who is a knave?", "names": ["Ella", "James", "Jack", "Henry", "William", "Zoey", "Ethan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, false, false, true, true], "solution_text": "Ella is a knave, James is a knave, Jack is a knave, Henry is a knave, William is a knave, Zoey is a knight, and Ethan is a knight.", "solution_text_format": "(1) Ella is a knave\n(2) James is a knave\n(3) Jack is a knave\n(4) Henry is a knave\n(5) William is a knave\n(6) Zoey is a knight\n(7) Ethan is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ella is a knight. No contradiction is found in their claim that Zoey is not a knight.", "Zoey cannot be a knight, because this would contradict the claim of Ella that Zoey is not a knight.", "Assume Zoey is a knave. No contradiction is found in their false claim that Jack is a knight or Ethan is a knight.", "Jack cannot be a knight, because this would contradict the false claim of Zoey that Jack is a knight or Ethan is a knight.", "Assume Jack is a knave. No contradiction is found in their false claim that Henry is a knave if and only if William is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that Zoey is not a knight.", "Assume William is a knight. No contradiction is found in their claim that James is a knave and Zoey is a knave.", "James cannot be a knight, because this would contradict the claim of William that James is a knave and Zoey is a knave.", "James cannot be a knave, because this would contradict the false claim of their own that Zoey is a knave or James is a knight.", "We have exhausted all possibilities for James, so let us go back and reconsider William.", "William cannot be a knave, because this would contradict the false claim of Jack that Henry is a knave if and only if William is a knight.", "We have exhausted all possibilities for William, so let us go back and reconsider Henry.", "Henry cannot be a knave, because this would contradict the false claim of their own that Zoey is not a knight.", "We have exhausted all possibilities for Henry, Jack, and Zoey, so let us go back and reconsider Ella.", "Assume Ella is a knave. No contradiction is found in their false claim that Zoey is not a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that Jack is a knight or Ethan is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that Henry is a knave if and only if William is a knight.", "Henry cannot be a knight, because this would contradict the claim of their own that Zoey is not a knight.", "Assume Henry is a knave. No contradiction is found in their false claim that Zoey is not a knight.", "William cannot be a knight, because this would contradict the claim of their own that James is a knave and Zoey is a knave.", "William cannot be a knave, because this would contradict the claim of Jack that Henry is a knave if and only if William is a knight.", "We have exhausted all possibilities for William and Henry, so let us go back and reconsider Jack.", "Assume Jack is a knave. No contradiction is found in their false claim that Henry is a knave if and only if William is a knight.", "Henry cannot be a knight, because this would contradict the claim of their own that Zoey is not a knight.", "Assume Henry is a knave. No contradiction is found in their false claim that Zoey is not a knight.", "William cannot be a knight, because this would contradict the false claim of Jack that Henry is a knave if and only if William is a knight.", "Assume William is a knave. No contradiction is found in their false claim that James is a knave and Zoey is a knave.", "Assume James is a knight. No contradiction is found in their claim that Zoey is a knave or James is a knight.", "Ethan cannot be a knight, because this would contradict the claim of their own that Jack is a knave and James is a knave.", "Ethan cannot be a knave, because this would contradict the claim of Zoey that Jack is a knight or Ethan is a knight.", "We have exhausted all possibilities for Ethan, so let us go back and reconsider James.", "Assume James is a knave. No contradiction is found in their false claim that Zoey is a knave or James is a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that Jack is a knave and James is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 5)), ('or', ('lying', 5), ('telling-truth', 1)), ('<=>', ('lying', 3), ('telling-truth', 4)), ('not', ('telling-truth', 5)), ('and', ('lying', 1), ('lying', 5)), ('or', ('telling-truth', 2), ('telling-truth', 6)), ('and', ('lying', 2), ('lying', 1)))", "index": 1024}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Jackson, James, Logan, Chloe, Sebastian, Penelope, and Ava. Jackson remarked, \"James is a knight if and only if Ava is a knight\". James told you that Logan is a knave or Penelope is a knave. \"Ava is a knight or Sebastian is a knave\" - Logan. Chloe said, \"Logan is a knight or Jackson is a knight.\" Sebastian asserted: \"Ava is a knave\". Penelope said, \"Jackson is a knight.\" As Ava put it, \"Sebastian is not a knight\". So who is a knight and who is a knave?", "names": ["Jackson", "James", "Logan", "Chloe", "Sebastian", "Penelope", "Ava"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false, true, false, false], "solution_text": "Jackson is a knave, James is a knight, Logan is a knave, Chloe is a knave, Sebastian is a knight, Penelope is a knave, and Ava is a knave.", "solution_text_format": "(1) Jackson is a knave\n(2) James is a knight\n(3) Logan is a knave\n(4) Chloe is a knave\n(5) Sebastian is a knight\n(6) Penelope is a knave\n(7) Ava is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jackson is a knight. No contradiction is found in their claim that James is a knight if and only if Ava is a knight.", "Assume James is a knight. No contradiction is found in their claim that Logan is a knave or Penelope is a knave.", "Assume Logan is a knight. No contradiction is found in their claim that Ava is a knight or Sebastian is a knave.", "Assume Ava is a knight. No contradiction is found in their claim that Sebastian is not a knight.", "Sebastian cannot be a knight, because this would contradict the claim of their own that Ava is a knave.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Ava is a knave.", "Penelope cannot be a knight, because this would contradict the claim of James that Logan is a knave or Penelope is a knave.", "Penelope cannot be a knave, because this would contradict the false claim of their own that Jackson is a knight.", "We have exhausted all possibilities for Penelope and Sebastian, so let us go back and reconsider Ava.", "Ava cannot be a knave, because this would contradict the claim of Jackson that James is a knight if and only if Ava is a knight.", "We have exhausted all possibilities for Ava, so let us go back and reconsider Logan.", "Assume Logan is a knave. No contradiction is found in their false claim that Ava is a knight or Sebastian is a knave.", "Ava cannot be a knight, because this would contradict the false claim of Logan that Ava is a knight or Sebastian is a knave.", "Ava cannot be a knave, because this would contradict the claim of Jackson that James is a knight if and only if Ava is a knight.", "We have exhausted all possibilities for Ava and Logan, so let us go back and reconsider James.", "Assume James is a knave. No contradiction is found in their false claim that Logan is a knave or Penelope is a knave.", "Assume Logan is a knight. No contradiction is found in their claim that Ava is a knight or Sebastian is a knave.", "Ava cannot be a knight, because this would contradict the claim of Jackson that James is a knight if and only if Ava is a knight.", "Assume Ava is a knave. No contradiction is found in their false claim that Sebastian is not a knight.", "Sebastian cannot be a knight, because this would contradict the claim of Logan that Ava is a knight or Sebastian is a knave.", "Sebastian cannot be a knave, because this would contradict the false claim of their own that Ava is a knave.", "We have exhausted all possibilities for Sebastian and Ava, so let us go back and reconsider Logan.", "Logan cannot be a knave, because this would contradict the false claim of James that Logan is a knave or Penelope is a knave.", "We have exhausted all possibilities for Logan and James, so let us go back and reconsider Jackson.", "Assume Jackson is a knave. No contradiction is found in their false claim that James is a knight if and only if Ava is a knight.", "Assume James is a knight. No contradiction is found in their claim that Logan is a knave or Penelope is a knave.", "Assume Logan is a knight. No contradiction is found in their claim that Ava is a knight or Sebastian is a knave.", "Ava cannot be a knight, because this would contradict the false claim of Jackson that James is a knight if and only if Ava is a knight.", "Assume Ava is a knave. No contradiction is found in their false claim that Sebastian is not a knight.", "Sebastian cannot be a knight, because this would contradict the claim of Logan that Ava is a knight or Sebastian is a knave.", "Sebastian cannot be a knave, because this would contradict the false claim of their own that Ava is a knave.", "We have exhausted all possibilities for Sebastian and Ava, so let us go back and reconsider Logan.", "Assume Logan is a knave. No contradiction is found in their false claim that Ava is a knight or Sebastian is a knave.", "Ava cannot be a knight, because this would contradict the false claim of Jackson that James is a knight if and only if Ava is a knight.", "Assume Ava is a knave. No contradiction is found in their false claim that Sebastian is not a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Ava is a knave.", "Penelope cannot be a knight, because this would contradict the claim of their own that Jackson is a knight.", "Assume Penelope is a knave. No contradiction is found in their false claim that Jackson is a knight.", "Chloe cannot be a knight, because this would contradict the claim of their own that Logan is a knight or Jackson is a knight.", "Assume Chloe is a knave. No contradiction is found in their false claim that Logan is a knight or Jackson is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('telling-truth', 6)), ('or', ('lying', 2), ('lying', 5)), ('or', ('telling-truth', 6), ('lying', 4)), ('or', ('telling-truth', 2), ('telling-truth', 0)), ('lying', 6), ('telling-truth', 0), ('not', ('telling-truth', 4)))", "index": 1025}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Emma, Olivia, Samuel, Owen, Riley, Henry, and Chloe. In Emma's words: \"If Henry is a knight then Owen is a knave\". Olivia noted, \"Emma is a knight if and only if Emma is a knave\". In Samuel's words: \"If Olivia is a knight then Owen is a knight\". Owen expressed that If Riley is a knight then Chloe is a knave. \"Emma is a knight or Emma is a knave,\" Riley claimed. \"If Riley is a knave then Olivia is a knight,\" Henry mentioned. Chloe stated, \"Riley is not a knight\". So who is a knight and who is a knave?", "names": ["Emma", "Olivia", "Samuel", "Owen", "Riley", "Henry", "Chloe"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true, true, true, false], "solution_text": "Emma is a knave, Olivia is a knave, Samuel is a knight, Owen is a knight, Riley is a knight, Henry is a knight, and Chloe is a knave.", "solution_text_format": "(1) Emma is a knave\n(2) Olivia is a knave\n(3) Samuel is a knight\n(4) Owen is a knight\n(5) Riley is a knight\n(6) Henry is a knight\n(7) Chloe is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Emma is a knight. No contradiction is found in their claim that If Henry is a knight then Owen is a knave.", "Assume Henry is a knight. No contradiction is found in their claim that If Riley is a knave then Olivia is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that Emma is a knight or Emma is a knave.", "Olivia cannot be a knight, because this would contradict the claim of their own that Emma is a knight if and only if Emma is a knave.", "Assume Olivia is a knave. No contradiction is found in their false claim that Emma is a knight if and only if Emma is a knave.", "Owen cannot be a knight, because this would contradict the claim of Emma that If Henry is a knight then Owen is a knave.", "Assume Owen is a knave. No contradiction is found in their false claim that If Riley is a knight then Chloe is a knave.", "Chloe cannot be a knight, because this would contradict the claim of their own that Riley is not a knight.", "Chloe cannot be a knave, because this would contradict the false claim of Owen that If Riley is a knight then Chloe is a knave.", "We have exhausted all possibilities for Chloe, Owen, and Olivia, so let us go back and reconsider Riley.", "Riley cannot be a knave, because this would contradict the false claim of their own that Emma is a knight or Emma is a knave.", "We have exhausted all possibilities for Riley, so let us go back and reconsider Henry.", "Assume Henry is a knave. No contradiction is found in their false claim that If Riley is a knave then Olivia is a knight.", "Riley cannot be a knight, because this would contradict the false claim of Henry that If Riley is a knave then Olivia is a knight.", "Riley cannot be a knave, because this would contradict the false claim of their own that Emma is a knight or Emma is a knave.", "We have exhausted all possibilities for Riley and Henry, so let us go back and reconsider Emma.", "Assume Emma is a knave. No contradiction is found in their false claim that If Henry is a knight then Owen is a knave.", "Assume Henry is a knight. No contradiction is found in their claim that If Riley is a knave then Olivia is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that Emma is a knight or Emma is a knave.", "Olivia cannot be a knight, because this would contradict the claim of their own that Emma is a knight if and only if Emma is a knave.", "Assume Olivia is a knave. No contradiction is found in their false claim that Emma is a knight if and only if Emma is a knave.", "Assume Owen is a knight. No contradiction is found in their claim that If Riley is a knight then Chloe is a knave.", "Chloe cannot be a knight, because this would contradict the claim of Owen that If Riley is a knight then Chloe is a knave.", "Assume Chloe is a knave. No contradiction is found in their false claim that Riley is not a knight.", "Assume Samuel is a knight. No contradiction is found in their claim that If Olivia is a knight then Owen is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 5), ('lying', 3)), ('<=>', ('telling-truth', 0), ('lying', 0)), ('->', ('telling-truth', 1), ('telling-truth', 3)), ('->', ('telling-truth', 4), ('lying', 6)), ('or', ('telling-truth', 0), ('lying', 0)), ('->', ('lying', 4), ('telling-truth', 1)), ('not', ('telling-truth', 4)))", "index": 1026}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Lily, Lucas, Aurora, Ella, Benjamin, Jack, and Scarlett. Lily said that If Aurora is a knight then Lucas is a knight. Lucas said, \"Lily is a knight or Lucas is a knight.\" Aurora was heard saying, \"Benjamin is a knight if and only if Lily is a knave\". Ella said that Jack is a knave. Benjamin told you that Lucas is a knight and Lily is a knight. Jack said, \"If Ella is a knight then Lucas is a knight.\" Scarlett noted, \"Benjamin is a knight and Ella is a knight\". So who is a knight and who is a knave?", "names": ["Lily", "Lucas", "Aurora", "Ella", "Benjamin", "Jack", "Scarlett"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false, true, true, false], "solution_text": "Lily is a knight, Lucas is a knight, Aurora is a knave, Ella is a knave, Benjamin is a knight, Jack is a knight, and Scarlett is a knave.", "solution_text_format": "(1) Lily is a knight\n(2) Lucas is a knight\n(3) Aurora is a knave\n(4) Ella is a knave\n(5) Benjamin is a knight\n(6) Jack is a knight\n(7) Scarlett is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Lily is a knight. No contradiction is found in their claim that If Aurora is a knight then Lucas is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that Benjamin is a knight if and only if Lily is a knave.", "Benjamin cannot be a knight, because this would contradict the claim of Aurora that Benjamin is a knight if and only if Lily is a knave.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Lucas is a knight and Lily is a knight.", "Lucas cannot be a knight, because this would contradict the false claim of Benjamin that Lucas is a knight and Lily is a knight.", "Lucas cannot be a knave, because this would contradict the claim of Lily that If Aurora is a knight then Lucas is a knight.", "We have exhausted all possibilities for Lucas and Benjamin, so let us go back and reconsider Aurora.", "Assume Aurora is a knave. No contradiction is found in their false claim that Benjamin is a knight if and only if Lily is a knave.", "Assume Benjamin is a knight. No contradiction is found in their claim that Lucas is a knight and Lily is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that Lily is a knight or Lucas is a knight.", "Assume Ella is a knight. No contradiction is found in their claim that Jack is a knave.", "Jack cannot be a knight, because this would contradict the claim of Ella that Jack is a knave.", "Jack cannot be a knave, because this would contradict the false claim of their own that If Ella is a knight then Lucas is a knight.", "We have exhausted all possibilities for Jack, so let us go back and reconsider Ella.", "Assume Ella is a knave. No contradiction is found in their false claim that Jack is a knave.", "Assume Jack is a knight. No contradiction is found in their claim that If Ella is a knight then Lucas is a knight.", "Scarlett cannot be a knight, because this would contradict the claim of their own that Benjamin is a knight and Ella is a knight.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Benjamin is a knight and Ella is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 2), ('telling-truth', 1)), ('or', ('telling-truth', 0), ('telling-truth', 1)), ('<=>', ('telling-truth', 4), ('lying', 0)), ('lying', 5), ('and', ('telling-truth', 1), ('telling-truth', 0)), ('->', ('telling-truth', 3), ('telling-truth', 1)), ('and', ('telling-truth', 4), ('telling-truth', 3)))", "index": 1027}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Aurora, Grace, Owen, Oliver, Alexander, Daniel, and Emma. Aurora said, \"If Oliver is a knight then Daniel is a knave.\" \"Aurora is a knave,\" Grace mentioned. \"Alexander is not a knight,\" Owen declared. Oliver told you that Alexander is a knight and Daniel is a knight. Alexander told you that Emma is a knight if and only if Aurora is a knight. Daniel asserted: \"Grace is a knave if and only if Alexander is a knave\". Emma told you that Oliver is a knight or Oliver is a knave. So who is a knight and who is a knave?", "names": ["Aurora", "Grace", "Owen", "Oliver", "Alexander", "Daniel", "Emma"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false, true, false, true], "solution_text": "Aurora is a knight, Grace is a knave, Owen is a knave, Oliver is a knave, Alexander is a knight, Daniel is a knave, and Emma is a knight.", "solution_text_format": "(1) Aurora is a knight\n(2) Grace is a knave\n(3) Owen is a knave\n(4) Oliver is a knave\n(5) Alexander is a knight\n(6) Daniel is a knave\n(7) Emma is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aurora is a knight. No contradiction is found in their claim that If Oliver is a knight then Daniel is a knave.", "Assume Oliver is a knight. No contradiction is found in their claim that Alexander is a knight and Daniel is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that Emma is a knight if and only if Aurora is a knight.", "Assume Emma is a knight. No contradiction is found in their claim that Oliver is a knight or Oliver is a knave.", "Daniel cannot be a knight, because this would contradict the claim of Aurora that If Oliver is a knight then Daniel is a knave.", "Daniel cannot be a knave, because this would contradict the claim of Oliver that Alexander is a knight and Daniel is a knight.", "We have exhausted all possibilities for Daniel, so let us go back and reconsider Emma.", "Emma cannot be a knave, because this would contradict the claim of Alexander that Emma is a knight if and only if Aurora is a knight.", "We have exhausted all possibilities for Emma, so let us go back and reconsider Alexander.", "Alexander cannot be a knave, because this would contradict the claim of Oliver that Alexander is a knight and Daniel is a knight.", "We have exhausted all possibilities for Alexander, so let us go back and reconsider Oliver.", "Assume Oliver is a knave. No contradiction is found in their false claim that Alexander is a knight and Daniel is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that Emma is a knight if and only if Aurora is a knight.", "Assume Emma is a knight. No contradiction is found in their claim that Oliver is a knight or Oliver is a knave.", "Daniel cannot be a knight, because this would contradict the false claim of Oliver that Alexander is a knight and Daniel is a knight.", "Assume Daniel is a knave. No contradiction is found in their false claim that Grace is a knave if and only if Alexander is a knave.", "Grace cannot be a knight, because this would contradict the claim of their own that Aurora is a knave.", "Assume Grace is a knave. No contradiction is found in their false claim that Aurora is a knave.", "Owen cannot be a knight, because this would contradict the claim of their own that Alexander is not a knight.", "Assume Owen is a knave. No contradiction is found in their false claim that Alexander is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 3), ('lying', 5)), ('lying', 0), ('not', ('telling-truth', 4)), ('and', ('telling-truth', 4), ('telling-truth', 5)), ('<=>', ('telling-truth', 6), ('telling-truth', 0)), ('<=>', ('lying', 1), ('lying', 4)), ('or', ('telling-truth', 3), ('lying', 3)))", "index": 1028}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Lily, Joseph, Samuel, Chloe, Alexander, Matthew, and Victoria. Lily stated, \"Samuel is not a knight\". Joseph was heard saying, \"Chloe is not a knight\". \"Matthew is a knave and Chloe is a knave,\" Samuel declared. Chloe told you that If Lily is a knave then Samuel is a knight. \"Samuel is a knave if and only if Lily is a knight,\" Alexander claimed. \"If Chloe is a knight then Joseph is a knight\" - Matthew. Victoria remarked, \"Samuel is a knave\". So who is a knight and who is a knave?", "names": ["Lily", "Joseph", "Samuel", "Chloe", "Alexander", "Matthew", "Victoria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, true, false, true], "solution_text": "Lily is a knight, Joseph is a knave, Samuel is a knave, Chloe is a knight, Alexander is a knight, Matthew is a knave, and Victoria is a knight.", "solution_text_format": "(1) Lily is a knight\n(2) Joseph is a knave\n(3) Samuel is a knave\n(4) Chloe is a knight\n(5) Alexander is a knight\n(6) Matthew is a knave\n(7) Victoria is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Lily is a knight. No contradiction is found in their claim that Samuel is not a knight.", "Samuel cannot be a knight, because this would contradict the claim of Lily that Samuel is not a knight.", "Assume Samuel is a knave. No contradiction is found in their false claim that Matthew is a knave and Chloe is a knave.", "Assume Matthew is a knight. No contradiction is found in their claim that If Chloe is a knight then Joseph is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that If Lily is a knave then Samuel is a knight.", "Joseph cannot be a knight, because this would contradict the claim of their own that Chloe is not a knight.", "Joseph cannot be a knave, because this would contradict the claim of Matthew that If Chloe is a knight then Joseph is a knight.", "We have exhausted all possibilities for Joseph, so let us go back and reconsider Chloe.", "Chloe cannot be a knave, because this would contradict the false claim of their own that If Lily is a knave then Samuel is a knight.", "We have exhausted all possibilities for Chloe, so let us go back and reconsider Matthew.", "Assume Matthew is a knave. No contradiction is found in their false claim that If Chloe is a knight then Joseph is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that If Lily is a knave then Samuel is a knight.", "Joseph cannot be a knight, because this would contradict the claim of their own that Chloe is not a knight.", "Assume Joseph is a knave. No contradiction is found in their false claim that Chloe is not a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that Samuel is a knave if and only if Lily is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that Samuel is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 2)), ('not', ('telling-truth', 3)), ('and', ('lying', 5), ('lying', 3)), ('->', ('lying', 0), ('telling-truth', 2)), ('<=>', ('lying', 2), ('telling-truth', 0)), ('->', ('telling-truth', 3), ('telling-truth', 1)), ('lying', 2))", "index": 1029}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Penelope, Amelia, Oliver, Lily, Aiden, Henry, and Sofia. In Penelope's words: \"Henry is a knave\". \"Aiden is a knave\" - Amelia. Oliver remarked, \"If Aiden is a knight then Sofia is a knave\". \"Henry is a knave and Lily is a knight,\" Lily declared. According to Aiden, \"Lily is a knight if and only if Amelia is a knave\". Henry said, \"Aiden is a knight.\" Sofia commented, \"Lily is not a knight\". So who is a knight and who is a knave?", "names": ["Penelope", "Amelia", "Oliver", "Lily", "Aiden", "Henry", "Sofia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, false, false, false], "solution_text": "Penelope is a knight, Amelia is a knight, Oliver is a knight, Lily is a knight, Aiden is a knave, Henry is a knave, and Sofia is a knave.", "solution_text_format": "(1) Penelope is a knight\n(2) Amelia is a knight\n(3) Oliver is a knight\n(4) Lily is a knight\n(5) Aiden is a knave\n(6) Henry is a knave\n(7) Sofia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Penelope is a knight. No contradiction is found in their claim that Henry is a knave.", "Henry cannot be a knight, because this would contradict the claim of Penelope that Henry is a knave.", "Assume Henry is a knave. No contradiction is found in their false claim that Aiden is a knight.", "Aiden cannot be a knight, because this would contradict the false claim of Henry that Aiden is a knight.", "Assume Aiden is a knave. No contradiction is found in their false claim that Lily is a knight if and only if Amelia is a knave.", "Assume Lily is a knight. No contradiction is found in their claim that Henry is a knave and Lily is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that Aiden is a knave.", "Assume Oliver is a knight. No contradiction is found in their claim that If Aiden is a knight then Sofia is a knave.", "Sofia cannot be a knight, because this would contradict the claim of their own that Lily is not a knight.", "Assume Sofia is a knave. No contradiction is found in their false claim that Lily is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 5), ('lying', 4), ('->', ('telling-truth', 4), ('lying', 6)), ('and', ('lying', 5), ('telling-truth', 3)), ('<=>', ('telling-truth', 3), ('lying', 1)), ('telling-truth', 4), ('not', ('telling-truth', 3)))", "index": 1030}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Noah, Evelyn, Joseph, Ava, Scarlett, Sofia, and Mia. Noah remarked, \"Mia is a knight or Joseph is a knave\". Evelyn stated, \"Mia is a knight if and only if Joseph is a knave\". Joseph said, \"Sofia is a knave if and only if Noah is a knight.\" Ava stated, \"Evelyn is a knight\". Scarlett said, \"Ava is a knave or Sofia is a knave.\" \"Noah is a knight or Joseph is a knave,\" Sofia declared. \"Sofia is a knight\" - Mia. So who is a knight and who is a knave?", "names": ["Noah", "Evelyn", "Joseph", "Ava", "Scarlett", "Sofia", "Mia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true, false, true, true], "solution_text": "Noah is a knight, Evelyn is a knight, Joseph is a knave, Ava is a knight, Scarlett is a knave, Sofia is a knight, and Mia is a knight.", "solution_text_format": "(1) Noah is a knight\n(2) Evelyn is a knight\n(3) Joseph is a knave\n(4) Ava is a knight\n(5) Scarlett is a knave\n(6) Sofia is a knight\n(7) Mia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Noah is a knight. No contradiction is found in their claim that Mia is a knight or Joseph is a knave.", "Assume Mia is a knight. No contradiction is found in their claim that Sofia is a knight.", "Assume Sofia is a knight. No contradiction is found in their claim that Noah is a knight or Joseph is a knave.", "Joseph cannot be a knight, because this would contradict the claim of their own that Sofia is a knave if and only if Noah is a knight.", "Assume Joseph is a knave. No contradiction is found in their false claim that Sofia is a knave if and only if Noah is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that Mia is a knight if and only if Joseph is a knave.", "Assume Ava is a knight. No contradiction is found in their claim that Evelyn is a knight.", "Scarlett cannot be a knight, because this would contradict the claim of their own that Ava is a knave or Sofia is a knave.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Ava is a knave or Sofia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 6), ('lying', 2)), ('<=>', ('telling-truth', 6), ('lying', 2)), ('<=>', ('lying', 5), ('telling-truth', 0)), ('telling-truth', 1), ('or', ('lying', 3), ('lying', 5)), ('or', ('telling-truth', 0), ('lying', 2)), ('telling-truth', 5))", "index": 1031}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Mia, James, Daniel, Victoria, Evelyn, Owen, and Mason. Mia said that Victoria is a knave and Owen is a knight. James stated, \"Evelyn is not a knave\". Daniel was heard saying, \"Victoria is a knight\". Victoria commented, \"Mia is a knight and Daniel is a knight\". Evelyn told you that Owen is not a knight. \"Mason is not a knave\" - Owen. \"Evelyn is a knave if and only if Evelyn is a knight\" - Mason. So who is a knight and who is a knave?", "names": ["Mia", "James", "Daniel", "Victoria", "Evelyn", "Owen", "Mason"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false, true, false, false], "solution_text": "Mia is a knave, James is a knight, Daniel is a knave, Victoria is a knave, Evelyn is a knight, Owen is a knave, and Mason is a knave.", "solution_text_format": "(1) Mia is a knave\n(2) James is a knight\n(3) Daniel is a knave\n(4) Victoria is a knave\n(5) Evelyn is a knight\n(6) Owen is a knave\n(7) Mason is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Mia is a knight. No contradiction is found in their claim that Victoria is a knave and Owen is a knight.", "Victoria cannot be a knight, because this would contradict the claim of Mia that Victoria is a knave and Owen is a knight.", "Assume Victoria is a knave. No contradiction is found in their false claim that Mia is a knight and Daniel is a knight.", "Daniel cannot be a knight, because this would contradict the claim of their own that Victoria is a knight.", "Assume Daniel is a knave. No contradiction is found in their false claim that Victoria is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that Mason is not a knave.", "Mason cannot be a knight, because this would contradict the claim of their own that Evelyn is a knave if and only if Evelyn is a knight.", "Mason cannot be a knave, because this would contradict the claim of Owen that Mason is not a knave.", "We have exhausted all possibilities for Mason, so let us go back and reconsider Owen.", "Owen cannot be a knave, because this would contradict the claim of Mia that Victoria is a knave and Owen is a knight.", "We have exhausted all possibilities for Owen, Daniel, and Victoria, so let us go back and reconsider Mia.", "Assume Mia is a knave. No contradiction is found in their false claim that Victoria is a knave and Owen is a knight.", "Victoria cannot be a knight, because this would contradict the claim of their own that Mia is a knight and Daniel is a knight.", "Assume Victoria is a knave. No contradiction is found in their false claim that Mia is a knight and Daniel is a knight.", "Daniel cannot be a knight, because this would contradict the claim of their own that Victoria is a knight.", "Assume Daniel is a knave. No contradiction is found in their false claim that Victoria is a knight.", "Owen cannot be a knight, because this would contradict the false claim of Mia that Victoria is a knave and Owen is a knight.", "Assume Owen is a knave. No contradiction is found in their false claim that Mason is not a knave.", "Mason cannot be a knight, because this would contradict the false claim of Owen that Mason is not a knave.", "Assume Mason is a knave. No contradiction is found in their false claim that Evelyn is a knave if and only if Evelyn is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that Owen is not a knight.", "Assume James is a knight. No contradiction is found in their claim that Evelyn is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 3), ('telling-truth', 5)), ('not', ('lying', 4)), ('telling-truth', 3), ('and', ('telling-truth', 0), ('telling-truth', 2)), ('not', ('telling-truth', 5)), ('not', ('lying', 6)), ('<=>', ('lying', 4), ('telling-truth', 4)))", "index": 1032}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Alexander, Noah, Benjamin, Abigail, Jackson, Michael, and Sophia. Alexander asserted: \"Abigail is a knave or Noah is a knave\". Noah said, \"Abigail is a knave and Benjamin is a knight.\" Benjamin remarked, \"Michael is not a knight\". Abigail was heard saying, \"Michael is a knight if and only if Sophia is a knight\". In a statement by Jackson: \"Noah is not a knight\". Michael stated, \"Alexander is a knave if and only if Sophia is a knave\". In Sophia's words: \"Alexander is a knight\". So who is a knight and who is a knave?", "names": ["Alexander", "Noah", "Benjamin", "Abigail", "Jackson", "Michael", "Sophia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, true, true, true], "solution_text": "Alexander is a knight, Noah is a knave, Benjamin is a knave, Abigail is a knight, Jackson is a knight, Michael is a knight, and Sophia is a knight.", "solution_text_format": "(1) Alexander is a knight\n(2) Noah is a knave\n(3) Benjamin is a knave\n(4) Abigail is a knight\n(5) Jackson is a knight\n(6) Michael is a knight\n(7) Sophia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Alexander is a knight. No contradiction is found in their claim that Abigail is a knave or Noah is a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that Michael is a knight if and only if Sophia is a knight.", "Assume Michael is a knight. No contradiction is found in their claim that Alexander is a knave if and only if Sophia is a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that Alexander is a knight.", "Noah cannot be a knight, because this would contradict the claim of Alexander that Abigail is a knave or Noah is a knave.", "Assume Noah is a knave. No contradiction is found in their false claim that Abigail is a knave and Benjamin is a knight.", "Benjamin cannot be a knight, because this would contradict the claim of their own that Michael is not a knight.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Michael is not a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that Noah is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 3), ('lying', 1)), ('and', ('lying', 3), ('telling-truth', 2)), ('not', ('telling-truth', 5)), ('<=>', ('telling-truth', 5), ('telling-truth', 6)), ('not', ('telling-truth', 1)), ('<=>', ('lying', 0), ('lying', 6)), ('telling-truth', 0))", "index": 1033}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Ella, Jacob, William, Penelope, Jack, Lucas, and Grace. \"Penelope is a knave and Lucas is a knave,\" Ella claimed. Jacob remarked, \"Jacob is a knight and Grace is a knave\". William noted, \"Ella is a knave or Lucas is a knight\". Penelope asserted: \"William is a knave\". Jack expressed that If Penelope is a knave then William is a knight. Lucas told you that Ella is a knave if and only if Jacob is a knave. Grace remarked, \"Penelope is a knave\". So who is a knight and who is a knave?", "names": ["Ella", "Jacob", "William", "Penelope", "Jack", "Lucas", "Grace"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false, true, true, true], "solution_text": "Ella is a knave, Jacob is a knave, William is a knight, Penelope is a knave, Jack is a knight, Lucas is a knight, and Grace is a knight.", "solution_text_format": "(1) Ella is a knave\n(2) Jacob is a knave\n(3) William is a knight\n(4) Penelope is a knave\n(5) Jack is a knight\n(6) Lucas is a knight\n(7) Grace is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ella is a knight. No contradiction is found in their claim that Penelope is a knave and Lucas is a knave.", "Penelope cannot be a knight, because this would contradict the claim of Ella that Penelope is a knave and Lucas is a knave.", "Assume Penelope is a knave. No contradiction is found in their false claim that William is a knave.", "Assume William is a knight. No contradiction is found in their claim that Ella is a knave or Lucas is a knight.", "Lucas cannot be a knight, because this would contradict the claim of Ella that Penelope is a knave and Lucas is a knave.", "Lucas cannot be a knave, because this would contradict the claim of William that Ella is a knave or Lucas is a knight.", "We have exhausted all possibilities for Lucas, so let us go back and reconsider William.", "William cannot be a knave, because this would contradict the false claim of Penelope that William is a knave.", "We have exhausted all possibilities for William and Penelope, so let us go back and reconsider Ella.", "Assume Ella is a knave. No contradiction is found in their false claim that Penelope is a knave and Lucas is a knave.", "Assume Penelope is a knight. No contradiction is found in their claim that William is a knave.", "William cannot be a knight, because this would contradict the claim of Penelope that William is a knave.", "William cannot be a knave, because this would contradict the false claim of their own that Ella is a knave or Lucas is a knight.", "We have exhausted all possibilities for William, so let us go back and reconsider Penelope.", "Assume Penelope is a knave. No contradiction is found in their false claim that William is a knave.", "Assume William is a knight. No contradiction is found in their claim that Ella is a knave or Lucas is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that Ella is a knave if and only if Jacob is a knave.", "Jacob cannot be a knight, because this would contradict the claim of Lucas that Ella is a knave if and only if Jacob is a knave.", "Assume Jacob is a knave. No contradiction is found in their false claim that Jacob is a knight and Grace is a knave.", "Assume Grace is a knight. No contradiction is found in their claim that Penelope is a knave.", "Assume Jack is a knight. No contradiction is found in their claim that If Penelope is a knave then William is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 3), ('lying', 5)), ('and', ('telling-truth', 1), ('lying', 6)), ('or', ('lying', 0), ('telling-truth', 5)), ('lying', 2), ('->', ('lying', 3), ('telling-truth', 2)), ('<=>', ('lying', 0), ('lying', 1)), ('lying', 3))", "index": 1034}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Henry, Ella, Alexander, William, Aurora, Victoria, and Sebastian. Henry said that Ella is a knave. As Ella put it, \"If Henry is a knave then William is a knight\". \"Aurora is a knight if and only if Ella is a knight,\" Alexander declared. In William's words: \"Henry is not a knight\". In Aurora's words: \"Ella is a knight and Victoria is a knave\". Victoria remarked, \"Ella is a knight if and only if William is a knight\". Sebastian expressed that Victoria is a knave. So who is a knight and who is a knave?", "names": ["Henry", "Ella", "Alexander", "William", "Aurora", "Victoria", "Sebastian"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true, false, true, false], "solution_text": "Henry is a knave, Ella is a knight, Alexander is a knave, William is a knight, Aurora is a knave, Victoria is a knight, and Sebastian is a knave.", "solution_text_format": "(1) Henry is a knave\n(2) Ella is a knight\n(3) Alexander is a knave\n(4) William is a knight\n(5) Aurora is a knave\n(6) Victoria is a knight\n(7) Sebastian is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Henry is a knight. No contradiction is found in their claim that Ella is a knave.", "Ella cannot be a knight, because this would contradict the claim of Henry that Ella is a knave.", "Ella cannot be a knave, because this would contradict the false claim of their own that If Henry is a knave then William is a knight.", "We have exhausted all possibilities for Ella, so let us go back and reconsider Henry.", "Assume Henry is a knave. No contradiction is found in their false claim that Ella is a knave.", "Assume Ella is a knight. No contradiction is found in their claim that If Henry is a knave then William is a knight.", "Assume William is a knight. No contradiction is found in their claim that Henry is not a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that Aurora is a knight if and only if Ella is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that Ella is a knight and Victoria is a knave.", "Victoria cannot be a knight, because this would contradict the claim of Aurora that Ella is a knight and Victoria is a knave.", "Victoria cannot be a knave, because this would contradict the false claim of their own that Ella is a knight if and only if William is a knight.", "We have exhausted all possibilities for Victoria, so let us go back and reconsider Aurora.", "Aurora cannot be a knave, because this would contradict the claim of Alexander that Aurora is a knight if and only if Ella is a knight.", "We have exhausted all possibilities for Aurora, so let us go back and reconsider Alexander.", "Assume Alexander is a knave. No contradiction is found in their false claim that Aurora is a knight if and only if Ella is a knight.", "Aurora cannot be a knight, because this would contradict the false claim of Alexander that Aurora is a knight if and only if Ella is a knight.", "Assume Aurora is a knave. No contradiction is found in their false claim that Ella is a knight and Victoria is a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that Ella is a knight if and only if William is a knight.", "Sebastian cannot be a knight, because this would contradict the claim of their own that Victoria is a knave.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Victoria is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('->', ('lying', 0), ('telling-truth', 3)), ('<=>', ('telling-truth', 4), ('telling-truth', 1)), ('not', ('telling-truth', 0)), ('and', ('telling-truth', 1), ('lying', 5)), ('<=>', ('telling-truth', 1), ('telling-truth', 3)), ('lying', 5))", "index": 1035}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Aurora, Liam, Daniel, Owen, Jack, Penelope, and Avery. \"Jack is a knave and Daniel is a knave,\" Aurora declared. Liam expressed that Penelope is a knave. \"Aurora is a knight,\" Daniel claimed. Owen expressed that Jack is a knight. Jack expressed that If Penelope is a knight then Liam is a knave. Penelope said that Avery is a knight. \"Jack is not a knight,\" Avery claimed. So who is a knight and who is a knave?", "names": ["Aurora", "Liam", "Daniel", "Owen", "Jack", "Penelope", "Avery"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true, true, false, false], "solution_text": "Aurora is a knave, Liam is a knight, Daniel is a knave, Owen is a knight, Jack is a knight, Penelope is a knave, and Avery is a knave.", "solution_text_format": "(1) Aurora is a knave\n(2) Liam is a knight\n(3) Daniel is a knave\n(4) Owen is a knight\n(5) Jack is a knight\n(6) Penelope is a knave\n(7) Avery is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aurora is a knight. No contradiction is found in their claim that Jack is a knave and Daniel is a knave.", "Jack cannot be a knight, because this would contradict the claim of Aurora that Jack is a knave and Daniel is a knave.", "Assume Jack is a knave. No contradiction is found in their false claim that If Penelope is a knight then Liam is a knave.", "Assume Penelope is a knight. No contradiction is found in their claim that Avery is a knight.", "Assume Avery is a knight. No contradiction is found in their claim that Jack is not a knight.", "Liam cannot be a knight, because this would contradict the claim of their own that Penelope is a knave.", "Liam cannot be a knave, because this would contradict the false claim of Jack that If Penelope is a knight then Liam is a knave.", "We have exhausted all possibilities for Liam, so let us go back and reconsider Avery.", "Avery cannot be a knave, because this would contradict the claim of Penelope that Avery is a knight.", "We have exhausted all possibilities for Avery, so let us go back and reconsider Penelope.", "Penelope cannot be a knave, because this would contradict the false claim of Jack that If Penelope is a knight then Liam is a knave.", "We have exhausted all possibilities for Penelope and Jack, so let us go back and reconsider Aurora.", "Assume Aurora is a knave. No contradiction is found in their false claim that Jack is a knave and Daniel is a knave.", "Assume Jack is a knight. No contradiction is found in their claim that If Penelope is a knight then Liam is a knave.", "Assume Penelope is a knight. No contradiction is found in their claim that Avery is a knight.", "Avery cannot be a knight, because this would contradict the claim of their own that Jack is not a knight.", "Avery cannot be a knave, because this would contradict the claim of Penelope that Avery is a knight.", "We have exhausted all possibilities for Avery, so let us go back and reconsider Penelope.", "Assume Penelope is a knave. No contradiction is found in their false claim that Avery is a knight.", "Avery cannot be a knight, because this would contradict the false claim of Penelope that Avery is a knight.", "Assume Avery is a knave. No contradiction is found in their false claim that Jack is not a knight.", "Assume Liam is a knight. No contradiction is found in their claim that Penelope is a knave.", "Daniel cannot be a knight, because this would contradict the claim of their own that Aurora is a knight.", "Assume Daniel is a knave. No contradiction is found in their false claim that Aurora is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that Jack is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 4), ('lying', 2)), ('lying', 5), ('telling-truth', 0), ('telling-truth', 4), ('->', ('telling-truth', 5), ('lying', 1)), ('telling-truth', 6), ('not', ('telling-truth', 4)))", "index": 1036}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Ella, Aria, Jackson, Jacob, Harper, Ava, and Mason. Ella told you that Harper is a knight. \"Jacob is not a knight\" - Aria. \"Mason is a knight or Jacob is a knave,\" Jackson claimed. Jacob told you that Aria is a knave if and only if Ava is a knave. Harper commented, \"Ella is a knave if and only if Jackson is a knave\". \"Ella is a knight,\" Ava declared. \"Aria is a knave and Harper is a knight,\" Mason mentioned. So who is a knight and who is a knave?", "names": ["Ella", "Aria", "Jackson", "Jacob", "Harper", "Ava", "Mason"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false, false, false, false], "solution_text": "Ella is a knave, Aria is a knight, Jackson is a knight, Jacob is a knave, Harper is a knave, Ava is a knave, and Mason is a knave.", "solution_text_format": "(1) Ella is a knave\n(2) Aria is a knight\n(3) Jackson is a knight\n(4) Jacob is a knave\n(5) Harper is a knave\n(6) Ava is a knave\n(7) Mason is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ella is a knight. No contradiction is found in their claim that Harper is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that Ella is a knave if and only if Jackson is a knave.", "Assume Jackson is a knight. No contradiction is found in their claim that Mason is a knight or Jacob is a knave.", "Assume Mason is a knight. No contradiction is found in their claim that Aria is a knave and Harper is a knight.", "Aria cannot be a knight, because this would contradict the claim of Mason that Aria is a knave and Harper is a knight.", "Assume Aria is a knave. No contradiction is found in their false claim that Jacob is not a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that Aria is a knave if and only if Ava is a knave.", "Ava cannot be a knight, because this would contradict the claim of Jacob that Aria is a knave if and only if Ava is a knave.", "Ava cannot be a knave, because this would contradict the false claim of their own that Ella is a knight.", "We have exhausted all possibilities for Ava, so let us go back and reconsider Jacob.", "Jacob cannot be a knave, because this would contradict the false claim of Aria that Jacob is not a knight.", "We have exhausted all possibilities for Jacob and Aria, so let us go back and reconsider Mason.", "Assume Mason is a knave. No contradiction is found in their false claim that Aria is a knave and Harper is a knight.", "Assume Aria is a knight. No contradiction is found in their claim that Jacob is not a knight.", "Jacob cannot be a knight, because this would contradict the claim of Aria that Jacob is not a knight.", "Assume Jacob is a knave. No contradiction is found in their false claim that Aria is a knave if and only if Ava is a knave.", "Ava cannot be a knight, because this would contradict the false claim of Jacob that Aria is a knave if and only if Ava is a knave.", "Ava cannot be a knave, because this would contradict the false claim of their own that Ella is a knight.", "We have exhausted all possibilities for Ava and Jacob, so let us go back and reconsider Aria.", "Aria cannot be a knave, because this would contradict the false claim of Mason that Aria is a knave and Harper is a knight.", "We have exhausted all possibilities for Aria and Mason, so let us go back and reconsider Jackson.", "Jackson cannot be a knave, because this would contradict the claim of Harper that Ella is a knave if and only if Jackson is a knave.", "We have exhausted all possibilities for Jackson, so let us go back and reconsider Harper.", "Harper cannot be a knave, because this would contradict the claim of Ella that Harper is a knight.", "We have exhausted all possibilities for Harper, so let us go back and reconsider Ella.", "Assume Ella is a knave. No contradiction is found in their false claim that Harper is a knight.", "Harper cannot be a knight, because this would contradict the false claim of Ella that Harper is a knight.", "Assume Harper is a knave. No contradiction is found in their false claim that Ella is a knave if and only if Jackson is a knave.", "Assume Jackson is a knight. No contradiction is found in their claim that Mason is a knight or Jacob is a knave.", "Mason cannot be a knight, because this would contradict the claim of their own that Aria is a knave and Harper is a knight.", "Assume Mason is a knave. No contradiction is found in their false claim that Aria is a knave and Harper is a knight.", "Assume Aria is a knight. No contradiction is found in their claim that Jacob is not a knight.", "Jacob cannot be a knight, because this would contradict the claim of Aria that Jacob is not a knight.", "Assume Jacob is a knave. No contradiction is found in their false claim that Aria is a knave if and only if Ava is a knave.", "Ava cannot be a knight, because this would contradict the false claim of Jacob that Aria is a knave if and only if Ava is a knave.", "Assume Ava is a knave. No contradiction is found in their false claim that Ella is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 4), ('not', ('telling-truth', 3)), ('or', ('telling-truth', 6), ('lying', 3)), ('<=>', ('lying', 1), ('lying', 5)), ('<=>', ('lying', 0), ('lying', 2)), ('telling-truth', 0), ('and', ('lying', 1), ('telling-truth', 4)))", "index": 1037}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Samuel, Lily, Ella, Charlotte, Noah, Jack, and Aiden. As Samuel put it, \"Ella is a knight or Charlotte is a knight\". Lily remarked, \"Charlotte is a knave and Ella is a knight\". \"Samuel is a knight if and only if Charlotte is a knight,\" Ella declared. Charlotte told you that If Noah is a knave then Lily is a knave. Noah told you that If Aiden is a knight then Jack is a knight. According to Jack, \"Aiden is a knight if and only if Noah is a knave\". Aiden was heard saying, \"Charlotte is a knave and Samuel is a knight\". So who is a knight and who is a knave?", "names": ["Samuel", "Lily", "Ella", "Charlotte", "Noah", "Jack", "Aiden"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, true, true, false], "solution_text": "Samuel is a knight, Lily is a knave, Ella is a knight, Charlotte is a knight, Noah is a knight, Jack is a knight, and Aiden is a knave.", "solution_text_format": "(1) Samuel is a knight\n(2) Lily is a knave\n(3) Ella is a knight\n(4) Charlotte is a knight\n(5) Noah is a knight\n(6) Jack is a knight\n(7) Aiden is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Samuel is a knight. No contradiction is found in their claim that Ella is a knight or Charlotte is a knight.", "Assume Ella is a knight. No contradiction is found in their claim that Samuel is a knight if and only if Charlotte is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that If Noah is a knave then Lily is a knave.", "Assume Noah is a knight. No contradiction is found in their claim that If Aiden is a knight then Jack is a knight.", "Aiden cannot be a knight, because this would contradict the claim of their own that Charlotte is a knave and Samuel is a knight.", "Assume Aiden is a knave. No contradiction is found in their false claim that Charlotte is a knave and Samuel is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that Aiden is a knight if and only if Noah is a knave.", "Lily cannot be a knight, because this would contradict the claim of their own that Charlotte is a knave and Ella is a knight.", "Assume Lily is a knave. No contradiction is found in their false claim that Charlotte is a knave and Ella is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 2), ('telling-truth', 3)), ('and', ('lying', 3), ('telling-truth', 2)), ('<=>', ('telling-truth', 0), ('telling-truth', 3)), ('->', ('lying', 4), ('lying', 1)), ('->', ('telling-truth', 6), ('telling-truth', 5)), ('<=>', ('telling-truth', 6), ('lying', 4)), ('and', ('lying', 3), ('telling-truth', 0)))", "index": 1038}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Joseph, Jack, Isabella, Abigail, Ethan, Olivia, and Evelyn. \"Abigail is a knave if and only if Ethan is a knave,\" Joseph claimed. \"Jack is a knight and Olivia is a knave\" - Jack. Isabella said that Evelyn is a knave if and only if Ethan is a knave. Abigail asserted: \"Jack is a knave or Evelyn is a knight\". Ethan told you that If Jack is a knight then Joseph is a knave. Olivia noted, \"Abigail is a knave\". \"Abigail is a knight,\" Evelyn mentioned. So who is a knight and who is a knave?", "names": ["Joseph", "Jack", "Isabella", "Abigail", "Ethan", "Olivia", "Evelyn"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, true, false, true], "solution_text": "Joseph is a knight, Jack is a knave, Isabella is a knight, Abigail is a knight, Ethan is a knight, Olivia is a knave, and Evelyn is a knight.", "solution_text_format": "(1) Joseph is a knight\n(2) Jack is a knave\n(3) Isabella is a knight\n(4) Abigail is a knight\n(5) Ethan is a knight\n(6) Olivia is a knave\n(7) Evelyn is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Joseph is a knight. No contradiction is found in their claim that Abigail is a knave if and only if Ethan is a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that Jack is a knave or Evelyn is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that Jack is a knight and Olivia is a knave.", "Olivia cannot be a knight, because this would contradict the claim of Jack that Jack is a knight and Olivia is a knave.", "Assume Olivia is a knave. No contradiction is found in their false claim that Abigail is a knave.", "Assume Evelyn is a knight. No contradiction is found in their claim that Abigail is a knight.", "Ethan cannot be a knight, because this would contradict the claim of their own that If Jack is a knight then Joseph is a knave.", "Ethan cannot be a knave, because this would contradict the claim of Joseph that Abigail is a knave if and only if Ethan is a knave.", "We have exhausted all possibilities for Ethan, so let us go back and reconsider Evelyn.", "Evelyn cannot be a knave, because this would contradict the claim of Abigail that Jack is a knave or Evelyn is a knight.", "We have exhausted all possibilities for Evelyn and Olivia, so let us go back and reconsider Jack.", "Assume Jack is a knave. No contradiction is found in their false claim that Jack is a knight and Olivia is a knave.", "Olivia cannot be a knight, because this would contradict the claim of their own that Abigail is a knave.", "Assume Olivia is a knave. No contradiction is found in their false claim that Abigail is a knave.", "Assume Evelyn is a knight. No contradiction is found in their claim that Abigail is a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that If Jack is a knight then Joseph is a knave.", "Assume Isabella is a knight. No contradiction is found in their claim that Evelyn is a knave if and only if Ethan is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 3), ('lying', 4)), ('and', ('telling-truth', 1), ('lying', 5)), ('<=>', ('lying', 6), ('lying', 4)), ('or', ('lying', 1), ('telling-truth', 6)), ('->', ('telling-truth', 1), ('lying', 0)), ('lying', 3), ('telling-truth', 3))", "index": 1039}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Benjamin, Amelia, William, Luke, Chloe, Oliver, and Jack. Benjamin noted, \"Chloe is a knave\". Amelia said that Oliver is a knight. William stated, \"If Oliver is a knave then Luke is a knight\". Luke said that If Amelia is a knave then Chloe is a knave. Chloe noted, \"Jack is a knight and Chloe is a knight\". In Oliver's words: \"William is a knave or Chloe is a knave\". Jack was heard saying, \"Benjamin is a knight if and only if Chloe is a knave\". So who is a knight and who is a knave?", "names": ["Benjamin", "Amelia", "William", "Luke", "Chloe", "Oliver", "Jack"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, false, true, true], "solution_text": "Benjamin is a knight, Amelia is a knight, William is a knight, Luke is a knight, Chloe is a knave, Oliver is a knight, and Jack is a knight.", "solution_text_format": "(1) Benjamin is a knight\n(2) Amelia is a knight\n(3) William is a knight\n(4) Luke is a knight\n(5) Chloe is a knave\n(6) Oliver is a knight\n(7) Jack is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Benjamin is a knight. No contradiction is found in their claim that Chloe is a knave.", "Chloe cannot be a knight, because this would contradict the claim of Benjamin that Chloe is a knave.", "Assume Chloe is a knave. No contradiction is found in their false claim that Jack is a knight and Chloe is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that Benjamin is a knight if and only if Chloe is a knave.", "Assume Amelia is a knight. No contradiction is found in their claim that Oliver is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that William is a knave or Chloe is a knave.", "Assume William is a knight. No contradiction is found in their claim that If Oliver is a knave then Luke is a knight.", "Assume Luke is a knight. No contradiction is found in their claim that If Amelia is a knave then Chloe is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 4), ('telling-truth', 5), ('->', ('lying', 5), ('telling-truth', 3)), ('->', ('lying', 1), ('lying', 4)), ('and', ('telling-truth', 6), ('telling-truth', 4)), ('or', ('lying', 2), ('lying', 4)), ('<=>', ('telling-truth', 0), ('lying', 4)))", "index": 1040}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Emma, Logan, Jackson, Liam, Chloe, Penelope, and Matthew. According to Emma, \"Chloe is a knight\". Logan commented, \"Chloe is a knave or Penelope is a knave\". Jackson said that Liam is a knight if and only if Logan is a knight. \"Emma is a knight if and only if Liam is a knight,\" Liam declared. As Chloe put it, \"Penelope is not a knight\". Penelope asserted: \"Jackson is a knave\". Matthew said that Emma is a knave. So who is a knight and who is a knave?", "names": ["Emma", "Logan", "Jackson", "Liam", "Chloe", "Penelope", "Matthew"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, true, false, false], "solution_text": "Emma is a knight, Logan is a knight, Jackson is a knight, Liam is a knight, Chloe is a knight, Penelope is a knave, and Matthew is a knave.", "solution_text_format": "(1) Emma is a knight\n(2) Logan is a knight\n(3) Jackson is a knight\n(4) Liam is a knight\n(5) Chloe is a knight\n(6) Penelope is a knave\n(7) Matthew is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Emma is a knight. No contradiction is found in their claim that Chloe is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that Penelope is not a knight.", "Penelope cannot be a knight, because this would contradict the claim of Chloe that Penelope is not a knight.", "Assume Penelope is a knave. No contradiction is found in their false claim that Jackson is a knave.", "Assume Jackson is a knight. No contradiction is found in their claim that Liam is a knight if and only if Logan is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that Emma is a knight if and only if Liam is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that Chloe is a knave or Penelope is a knave.", "Matthew cannot be a knight, because this would contradict the claim of their own that Emma is a knave.", "Assume Matthew is a knave. No contradiction is found in their false claim that Emma is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 4), ('or', ('lying', 4), ('lying', 5)), ('<=>', ('telling-truth', 3), ('telling-truth', 1)), ('<=>', ('telling-truth', 0), ('telling-truth', 3)), ('not', ('telling-truth', 5)), ('lying', 2), ('lying', 0))", "index": 1041}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Jackson, Lucas, Jacob, Matthew, Evelyn, Elizabeth, and Alexander. Jackson was heard saying, \"If Evelyn is a knave then Jackson is a knight\". Lucas expressed that Alexander is a knave and Elizabeth is a knight. Jacob commented, \"Alexander is a knight\". In Matthew's words: \"Evelyn is a knight and Alexander is a knight\". \"Matthew is not a knight,\" Evelyn claimed. According to Elizabeth, \"Jacob is a knave\". Alexander remarked, \"Matthew is a knight and Evelyn is a knave\". So who is a knight and who is a knave?", "names": ["Jackson", "Lucas", "Jacob", "Matthew", "Evelyn", "Elizabeth", "Alexander"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false, true, true, false], "solution_text": "Jackson is a knight, Lucas is a knight, Jacob is a knave, Matthew is a knave, Evelyn is a knight, Elizabeth is a knight, and Alexander is a knave.", "solution_text_format": "(1) Jackson is a knight\n(2) Lucas is a knight\n(3) Jacob is a knave\n(4) Matthew is a knave\n(5) Evelyn is a knight\n(6) Elizabeth is a knight\n(7) Alexander is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jackson is a knight. No contradiction is found in their claim that If Evelyn is a knave then Jackson is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that Matthew is not a knight.", "Matthew cannot be a knight, because this would contradict the claim of Evelyn that Matthew is not a knight.", "Assume Matthew is a knave. No contradiction is found in their false claim that Evelyn is a knight and Alexander is a knight.", "Alexander cannot be a knight, because this would contradict the false claim of Matthew that Evelyn is a knight and Alexander is a knight.", "Assume Alexander is a knave. No contradiction is found in their false claim that Matthew is a knight and Evelyn is a knave.", "Assume Lucas is a knight. No contradiction is found in their claim that Alexander is a knave and Elizabeth is a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Jacob is a knave.", "Jacob cannot be a knight, because this would contradict the claim of their own that Alexander is a knight.", "Assume Jacob is a knave. No contradiction is found in their false claim that Alexander is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 4), ('telling-truth', 0)), ('and', ('lying', 6), ('telling-truth', 5)), ('telling-truth', 6), ('and', ('telling-truth', 4), ('telling-truth', 6)), ('not', ('telling-truth', 3)), ('lying', 2), ('and', ('telling-truth', 3), ('lying', 4)))", "index": 1042}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Mason, Alexander, Liam, Lily, Ava, Logan, and Sophia. In Mason's words: \"Alexander is a knave\". Alexander stated, \"Liam is a knave if and only if Ava is a knight\". Liam noted, \"Alexander is a knave or Sophia is a knave\". According to Lily, \"If Sophia is a knave then Mason is a knave\". Ava expressed that Liam is a knave. Logan said that Sophia is a knave and Liam is a knave. Sophia commented, \"Logan is not a knight\". So who is a knight and who is a knave?", "names": ["Mason", "Alexander", "Liam", "Lily", "Ava", "Logan", "Sophia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true, true, false, true], "solution_text": "Mason is a knave, Alexander is a knight, Liam is a knave, Lily is a knight, Ava is a knight, Logan is a knave, and Sophia is a knight.", "solution_text_format": "(1) Mason is a knave\n(2) Alexander is a knight\n(3) Liam is a knave\n(4) Lily is a knight\n(5) Ava is a knight\n(6) Logan is a knave\n(7) Sophia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Mason is a knight. No contradiction is found in their claim that Alexander is a knave.", "Alexander cannot be a knight, because this would contradict the claim of Mason that Alexander is a knave.", "Assume Alexander is a knave. No contradiction is found in their false claim that Liam is a knave if and only if Ava is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that Alexander is a knave or Sophia is a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that Logan is not a knight.", "Logan cannot be a knight, because this would contradict the claim of their own that Sophia is a knave and Liam is a knave.", "Assume Logan is a knave. No contradiction is found in their false claim that Sophia is a knave and Liam is a knave.", "Ava cannot be a knight, because this would contradict the claim of their own that Liam is a knave.", "Ava cannot be a knave, because this would contradict the false claim of Alexander that Liam is a knave if and only if Ava is a knight.", "We have exhausted all possibilities for Ava and Logan, so let us go back and reconsider Sophia.", "Assume Sophia is a knave. No contradiction is found in their false claim that Logan is not a knight.", "Logan cannot be a knight, because this would contradict the claim of their own that Sophia is a knave and Liam is a knave.", "Logan cannot be a knave, because this would contradict the false claim of Sophia that Logan is not a knight.", "We have exhausted all possibilities for Logan and Sophia, so let us go back and reconsider Liam.", "Liam cannot be a knave, because this would contradict the false claim of their own that Alexander is a knave or Sophia is a knave.", "We have exhausted all possibilities for Liam and Alexander, so let us go back and reconsider Mason.", "Assume Mason is a knave. No contradiction is found in their false claim that Alexander is a knave.", "Assume Alexander is a knight. No contradiction is found in their claim that Liam is a knave if and only if Ava is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that Alexander is a knave or Sophia is a knave.", "Sophia cannot be a knight, because this would contradict the claim of Liam that Alexander is a knave or Sophia is a knave.", "Assume Sophia is a knave. No contradiction is found in their false claim that Logan is not a knight.", "Logan cannot be a knight, because this would contradict the claim of their own that Sophia is a knave and Liam is a knave.", "Logan cannot be a knave, because this would contradict the false claim of Sophia that Logan is not a knight.", "We have exhausted all possibilities for Logan and Sophia, so let us go back and reconsider Liam.", "Assume Liam is a knave. No contradiction is found in their false claim that Alexander is a knave or Sophia is a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that Logan is not a knight.", "Logan cannot be a knight, because this would contradict the claim of their own that Sophia is a knave and Liam is a knave.", "Assume Logan is a knave. No contradiction is found in their false claim that Sophia is a knave and Liam is a knave.", "Assume Ava is a knight. No contradiction is found in their claim that Liam is a knave.", "Assume Lily is a knight. No contradiction is found in their claim that If Sophia is a knave then Mason is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('<=>', ('lying', 2), ('telling-truth', 4)), ('or', ('lying', 1), ('lying', 6)), ('->', ('lying', 6), ('lying', 0)), ('lying', 2), ('and', ('lying', 6), ('lying', 2)), ('not', ('telling-truth', 5)))", "index": 1043}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Mason, Riley, Grace, Jacob, Aiden, Mia, and Benjamin. As Mason put it, \"Jacob is a knave and Grace is a knight\". Riley said, \"Jacob is a knight.\" Grace stated, \"Aiden is not a knave\". \"If Benjamin is a knight then Riley is a knave\" - Jacob. Aiden was heard saying, \"Mason is a knave if and only if Benjamin is a knight\". In a statement by Mia: \"Mason is a knave\". According to Benjamin, \"Mia is not a knight\". So who is a knight and who is a knave?", "names": ["Mason", "Riley", "Grace", "Jacob", "Aiden", "Mia", "Benjamin"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true, false, true, false], "solution_text": "Mason is a knave, Riley is a knight, Grace is a knave, Jacob is a knight, Aiden is a knave, Mia is a knight, and Benjamin is a knave.", "solution_text_format": "(1) Mason is a knave\n(2) Riley is a knight\n(3) Grace is a knave\n(4) Jacob is a knight\n(5) Aiden is a knave\n(6) Mia is a knight\n(7) Benjamin is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Mason is a knight. No contradiction is found in their claim that Jacob is a knave and Grace is a knight.", "Jacob cannot be a knight, because this would contradict the claim of Mason that Jacob is a knave and Grace is a knight.", "Assume Jacob is a knave. No contradiction is found in their false claim that If Benjamin is a knight then Riley is a knave.", "Assume Benjamin is a knight. No contradiction is found in their claim that Mia is not a knight.", "Mia cannot be a knight, because this would contradict the claim of their own that Mason is a knave.", "Assume Mia is a knave. No contradiction is found in their false claim that Mason is a knave.", "Riley cannot be a knight, because this would contradict the claim of their own that Jacob is a knight.", "Riley cannot be a knave, because this would contradict the false claim of Jacob that If Benjamin is a knight then Riley is a knave.", "We have exhausted all possibilities for Riley and Mia, so let us go back and reconsider Benjamin.", "Benjamin cannot be a knave, because this would contradict the false claim of Jacob that If Benjamin is a knight then Riley is a knave.", "We have exhausted all possibilities for Benjamin and Jacob, so let us go back and reconsider Mason.", "Assume Mason is a knave. No contradiction is found in their false claim that Jacob is a knave and Grace is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that If Benjamin is a knight then Riley is a knave.", "Assume Benjamin is a knight. No contradiction is found in their claim that Mia is not a knight.", "Mia cannot be a knight, because this would contradict the claim of Benjamin that Mia is not a knight.", "Mia cannot be a knave, because this would contradict the false claim of their own that Mason is a knave.", "We have exhausted all possibilities for Mia, so let us go back and reconsider Benjamin.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Mia is not a knight.", "Assume Mia is a knight. No contradiction is found in their claim that Mason is a knave.", "Assume Riley is a knight. No contradiction is found in their claim that Jacob is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that Aiden is not a knave.", "Aiden cannot be a knight, because this would contradict the claim of their own that Mason is a knave if and only if Benjamin is a knight.", "Aiden cannot be a knave, because this would contradict the claim of Grace that Aiden is not a knave.", "We have exhausted all possibilities for Aiden, so let us go back and reconsider Grace.", "Assume Grace is a knave. No contradiction is found in their false claim that Aiden is not a knave.", "Aiden cannot be a knight, because this would contradict the false claim of Grace that Aiden is not a knave.", "Assume Aiden is a knave. No contradiction is found in their false claim that Mason is a knave if and only if Benjamin is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 3), ('telling-truth', 2)), ('telling-truth', 3), ('not', ('lying', 4)), ('->', ('telling-truth', 6), ('lying', 1)), ('<=>', ('lying', 0), ('telling-truth', 6)), ('lying', 0), ('not', ('telling-truth', 5)))", "index": 1044}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Michael, Liam, Victoria, Ella, Logan, Matthew, and Chloe. Michael stated, \"Victoria is a knave and Ella is a knight\". Liam expressed that Chloe is a knight if and only if Michael is a knight. As Victoria put it, \"Chloe is a knight if and only if Liam is a knave\". Ella stated, \"Matthew is a knave if and only if Ella is a knight\". \"If Victoria is a knight then Logan is a knight,\" Logan mentioned. \"If Victoria is a knave then Chloe is a knave,\" Matthew mentioned. Chloe stated, \"Victoria is a knave or Chloe is a knight\". So who is a knight and who is a knave?", "names": ["Michael", "Liam", "Victoria", "Ella", "Logan", "Matthew", "Chloe"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true, true, false, true], "solution_text": "Michael is a knight, Liam is a knight, Victoria is a knave, Ella is a knight, Logan is a knight, Matthew is a knave, and Chloe is a knight.", "solution_text_format": "(1) Michael is a knight\n(2) Liam is a knight\n(3) Victoria is a knave\n(4) Ella is a knight\n(5) Logan is a knight\n(6) Matthew is a knave\n(7) Chloe is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Michael is a knight. No contradiction is found in their claim that Victoria is a knave and Ella is a knight.", "Victoria cannot be a knight, because this would contradict the claim of Michael that Victoria is a knave and Ella is a knight.", "Assume Victoria is a knave. No contradiction is found in their false claim that Chloe is a knight if and only if Liam is a knave.", "Assume Chloe is a knight. No contradiction is found in their claim that Victoria is a knave or Chloe is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that Chloe is a knight if and only if Michael is a knight.", "Assume Ella is a knight. No contradiction is found in their claim that Matthew is a knave if and only if Ella is a knight.", "Matthew cannot be a knight, because this would contradict the claim of Ella that Matthew is a knave if and only if Ella is a knight.", "Assume Matthew is a knave. No contradiction is found in their false claim that If Victoria is a knave then Chloe is a knave.", "Assume Logan is a knight. No contradiction is found in their claim that If Victoria is a knight then Logan is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('telling-truth', 3)), ('<=>', ('telling-truth', 6), ('telling-truth', 0)), ('<=>', ('telling-truth', 6), ('lying', 1)), ('<=>', ('lying', 5), ('telling-truth', 3)), ('->', ('telling-truth', 2), ('telling-truth', 4)), ('->', ('lying', 2), ('lying', 6)), ('or', ('lying', 2), ('telling-truth', 6)))", "index": 1045}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Owen, Liam, Mason, Harper, Sebastian, Oliver, and Samuel. In a statement by Owen: \"Liam is not a knave\". \"If Samuel is a knave then Owen is a knight,\" Liam declared. In Mason's words: \"Sebastian is not a knave\". Harper stated, \"Harper is a knight and Samuel is a knight\". Sebastian remarked, \"Liam is a knight and Mason is a knave\". \"Samuel is not a knave,\" Oliver declared. Samuel told you that Oliver is a knight or Sebastian is a knight. So who is a knight and who is a knave?", "names": ["Owen", "Liam", "Mason", "Harper", "Sebastian", "Oliver", "Samuel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, false, false, false, false], "solution_text": "Owen is a knave, Liam is a knave, Mason is a knave, Harper is a knave, Sebastian is a knave, Oliver is a knave, and Samuel is a knave.", "solution_text_format": "(1) Owen is a knave\n(2) Liam is a knave\n(3) Mason is a knave\n(4) Harper is a knave\n(5) Sebastian is a knave\n(6) Oliver is a knave\n(7) Samuel is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Owen is a knight. No contradiction is found in their claim that Liam is not a knave.", "Assume Liam is a knight. No contradiction is found in their claim that If Samuel is a knave then Owen is a knight.", "Assume Samuel is a knight. No contradiction is found in their claim that Oliver is a knight or Sebastian is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that Samuel is not a knave.", "Assume Sebastian is a knight. No contradiction is found in their claim that Liam is a knight and Mason is a knave.", "Mason cannot be a knight, because this would contradict the claim of Sebastian that Liam is a knight and Mason is a knave.", "Mason cannot be a knave, because this would contradict the false claim of their own that Sebastian is not a knave.", "We have exhausted all possibilities for Mason, so let us go back and reconsider Sebastian.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Liam is a knight and Mason is a knave.", "Mason cannot be a knight, because this would contradict the claim of their own that Sebastian is not a knave.", "Mason cannot be a knave, because this would contradict the false claim of Sebastian that Liam is a knight and Mason is a knave.", "We have exhausted all possibilities for Mason and Sebastian, so let us go back and reconsider Oliver.", "Oliver cannot be a knave, because this would contradict the false claim of their own that Samuel is not a knave.", "We have exhausted all possibilities for Oliver, so let us go back and reconsider Samuel.", "Assume Samuel is a knave. No contradiction is found in their false claim that Oliver is a knight or Sebastian is a knight.", "Oliver cannot be a knight, because this would contradict the claim of their own that Samuel is not a knave.", "Assume Oliver is a knave. No contradiction is found in their false claim that Samuel is not a knave.", "Sebastian cannot be a knight, because this would contradict the false claim of Samuel that Oliver is a knight or Sebastian is a knight.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Liam is a knight and Mason is a knave.", "Mason cannot be a knight, because this would contradict the claim of their own that Sebastian is not a knave.", "Mason cannot be a knave, because this would contradict the false claim of Sebastian that Liam is a knight and Mason is a knave.", "We have exhausted all possibilities for Mason, Sebastian, Oliver, and Samuel, so let us go back and reconsider Liam.", "Liam cannot be a knave, because this would contradict the claim of Owen that Liam is not a knave.", "We have exhausted all possibilities for Liam, so let us go back and reconsider Owen.", "Assume Owen is a knave. No contradiction is found in their false claim that Liam is not a knave.", "Liam cannot be a knight, because this would contradict the false claim of Owen that Liam is not a knave.", "Assume Liam is a knave. No contradiction is found in their false claim that If Samuel is a knave then Owen is a knight.", "Samuel cannot be a knight, because this would contradict the false claim of Liam that If Samuel is a knave then Owen is a knight.", "Assume Samuel is a knave. No contradiction is found in their false claim that Oliver is a knight or Sebastian is a knight.", "Oliver cannot be a knight, because this would contradict the claim of their own that Samuel is not a knave.", "Assume Oliver is a knave. No contradiction is found in their false claim that Samuel is not a knave.", "Sebastian cannot be a knight, because this would contradict the claim of their own that Liam is a knight and Mason is a knave.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Liam is a knight and Mason is a knave.", "Mason cannot be a knight, because this would contradict the claim of their own that Sebastian is not a knave.", "Assume Mason is a knave. No contradiction is found in their false claim that Sebastian is not a knave.", "Harper cannot be a knight, because this would contradict the claim of their own that Harper is a knight and Samuel is a knight.", "Assume Harper is a knave. No contradiction is found in their false claim that Harper is a knight and Samuel is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 1)), ('->', ('lying', 6), ('telling-truth', 0)), ('not', ('lying', 4)), ('and', ('telling-truth', 3), ('telling-truth', 6)), ('and', ('telling-truth', 1), ('lying', 2)), ('not', ('lying', 6)), ('or', ('telling-truth', 5), ('telling-truth', 4)))", "index": 1046}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Jacob, Daniel, Aria, Jack, Isabella, Benjamin, and James. \"Daniel is a knight,\" Jacob mentioned. Daniel commented, \"James is a knave and James is a knight\". In Aria's words: \"Daniel is a knight if and only if Jacob is a knave\". Jack said, \"If Aria is a knight then Jacob is a knight.\" According to Isabella, \"Daniel is a knave\". \"Jack is a knight if and only if Aria is a knave\" - Benjamin. James stated, \"If Benjamin is a knight then Jack is a knave\". So who is a knight and who is a knave?", "names": ["Jacob", "Daniel", "Aria", "Jack", "Isabella", "Benjamin", "James"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true, true, true, false], "solution_text": "Jacob is a knave, Daniel is a knave, Aria is a knave, Jack is a knight, Isabella is a knight, Benjamin is a knight, and James is a knave.", "solution_text_format": "(1) Jacob is a knave\n(2) Daniel is a knave\n(3) Aria is a knave\n(4) Jack is a knight\n(5) Isabella is a knight\n(6) Benjamin is a knight\n(7) James is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jacob is a knight. No contradiction is found in their claim that Daniel is a knight.", "Daniel cannot be a knight, because this would contradict the claim of their own that James is a knave and James is a knight.", "Daniel cannot be a knave, because this would contradict the claim of Jacob that Daniel is a knight.", "We have exhausted all possibilities for Daniel, so let us go back and reconsider Jacob.", "Assume Jacob is a knave. No contradiction is found in their false claim that Daniel is a knight.", "Daniel cannot be a knight, because this would contradict the false claim of Jacob that Daniel is a knight.", "Assume Daniel is a knave. No contradiction is found in their false claim that James is a knave and James is a knight.", "Assume James is a knight. No contradiction is found in their claim that If Benjamin is a knight then Jack is a knave.", "Assume Benjamin is a knight. No contradiction is found in their claim that Jack is a knight if and only if Aria is a knave.", "Jack cannot be a knight, because this would contradict the claim of James that If Benjamin is a knight then Jack is a knave.", "Assume Jack is a knave. No contradiction is found in their false claim that If Aria is a knight then Jacob is a knight.", "Aria cannot be a knight, because this would contradict the claim of their own that Daniel is a knight if and only if Jacob is a knave.", "Aria cannot be a knave, because this would contradict the false claim of Jack that If Aria is a knight then Jacob is a knight.", "We have exhausted all possibilities for Aria and Jack, so let us go back and reconsider Benjamin.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Jack is a knight if and only if Aria is a knave.", "Assume Jack is a knight. No contradiction is found in their claim that If Aria is a knight then Jacob is a knight.", "Aria cannot be a knight, because this would contradict the claim of their own that Daniel is a knight if and only if Jacob is a knave.", "Aria cannot be a knave, because this would contradict the false claim of Benjamin that Jack is a knight if and only if Aria is a knave.", "We have exhausted all possibilities for Aria, so let us go back and reconsider Jack.", "Assume Jack is a knave. No contradiction is found in their false claim that If Aria is a knight then Jacob is a knight.", "Aria cannot be a knight, because this would contradict the claim of their own that Daniel is a knight if and only if Jacob is a knave.", "Aria cannot be a knave, because this would contradict the false claim of Jack that If Aria is a knight then Jacob is a knight.", "We have exhausted all possibilities for Aria, Jack, and Benjamin, so let us go back and reconsider James.", "Assume James is a knave. No contradiction is found in their false claim that If Benjamin is a knight then Jack is a knave.", "Assume Benjamin is a knight. No contradiction is found in their claim that Jack is a knight if and only if Aria is a knave.", "Assume Jack is a knight. No contradiction is found in their claim that If Aria is a knight then Jacob is a knight.", "Aria cannot be a knight, because this would contradict the claim of their own that Daniel is a knight if and only if Jacob is a knave.", "Assume Aria is a knave. No contradiction is found in their false claim that Daniel is a knight if and only if Jacob is a knave.", "Assume Isabella is a knight. No contradiction is found in their claim that Daniel is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 1), ('and', ('lying', 6), ('telling-truth', 6)), ('<=>', ('telling-truth', 1), ('lying', 0)), ('->', ('telling-truth', 2), ('telling-truth', 0)), ('lying', 1), ('<=>', ('telling-truth', 3), ('lying', 2)), ('->', ('telling-truth', 5), ('lying', 3)))", "index": 1047}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Abigail, Isabella, Oliver, Victoria, Ella, Emma, and Evelyn. In a statement by Abigail: \"Ella is a knight or Evelyn is a knight\". \"Evelyn is a knave or Evelyn is a knight,\" Isabella declared. In Oliver's words: \"Emma is a knight\". Victoria noted, \"If Ella is a knight then Oliver is a knight\". Ella expressed that If Emma is a knight then Emma is a knave. Emma commented, \"Evelyn is a knave or Ella is a knight\". Evelyn noted, \"Isabella is a knave\". So who is a knight and who is a knave?", "names": ["Abigail", "Isabella", "Oliver", "Victoria", "Ella", "Emma", "Evelyn"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, false, true, false], "solution_text": "Abigail is a knave, Isabella is a knight, Oliver is a knight, Victoria is a knight, Ella is a knave, Emma is a knight, and Evelyn is a knave.", "solution_text_format": "(1) Abigail is a knave\n(2) Isabella is a knight\n(3) Oliver is a knight\n(4) Victoria is a knight\n(5) Ella is a knave\n(6) Emma is a knight\n(7) Evelyn is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Abigail is a knight. No contradiction is found in their claim that Ella is a knight or Evelyn is a knight.", "Assume Ella is a knight. No contradiction is found in their claim that If Emma is a knight then Emma is a knave.", "Emma cannot be a knight, because this would contradict the claim of Ella that If Emma is a knight then Emma is a knave.", "Emma cannot be a knave, because this would contradict the false claim of their own that Evelyn is a knave or Ella is a knight.", "We have exhausted all possibilities for Emma, so let us go back and reconsider Ella.", "Assume Ella is a knave. No contradiction is found in their false claim that If Emma is a knight then Emma is a knave.", "Assume Emma is a knight. No contradiction is found in their claim that Evelyn is a knave or Ella is a knight.", "Evelyn cannot be a knight, because this would contradict the claim of Emma that Evelyn is a knave or Ella is a knight.", "Evelyn cannot be a knave, because this would contradict the claim of Abigail that Ella is a knight or Evelyn is a knight.", "We have exhausted all possibilities for Evelyn, so let us go back and reconsider Emma.", "Emma cannot be a knave, because this would contradict the false claim of Ella that If Emma is a knight then Emma is a knave.", "We have exhausted all possibilities for Emma and Ella, so let us go back and reconsider Abigail.", "Assume Abigail is a knave. No contradiction is found in their false claim that Ella is a knight or Evelyn is a knight.", "Ella cannot be a knight, because this would contradict the false claim of Abigail that Ella is a knight or Evelyn is a knight.", "Assume Ella is a knave. No contradiction is found in their false claim that If Emma is a knight then Emma is a knave.", "Assume Emma is a knight. No contradiction is found in their claim that Evelyn is a knave or Ella is a knight.", "Evelyn cannot be a knight, because this would contradict the false claim of Abigail that Ella is a knight or Evelyn is a knight.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Isabella is a knave.", "Assume Isabella is a knight. No contradiction is found in their claim that Evelyn is a knave or Evelyn is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that Emma is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that If Ella is a knight then Oliver is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 4), ('telling-truth', 6)), ('or', ('lying', 6), ('telling-truth', 6)), ('telling-truth', 5), ('->', ('telling-truth', 4), ('telling-truth', 2)), ('->', ('telling-truth', 5), ('lying', 5)), ('or', ('lying', 6), ('telling-truth', 4)), ('lying', 1))", "index": 1048}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Jacob, Aria, Owen, Avery, Michael, Samuel, and Grace. Jacob noted, \"Grace is a knave if and only if Avery is a knave\". Aria remarked, \"Grace is a knave\". \"Michael is a knave if and only if Michael is a knight\" - Owen. According to Avery, \"Jacob is a knight\". Michael was heard saying, \"Jacob is a knave if and only if Grace is a knight\". \"Avery is a knight,\" Samuel mentioned. \"Michael is a knight if and only if Owen is a knight,\" Grace claimed. So who is a knight and who is a knave?", "names": ["Jacob", "Aria", "Owen", "Avery", "Michael", "Samuel", "Grace"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, false, true, true], "solution_text": "Jacob is a knight, Aria is a knave, Owen is a knave, Avery is a knight, Michael is a knave, Samuel is a knight, and Grace is a knight.", "solution_text_format": "(1) Jacob is a knight\n(2) Aria is a knave\n(3) Owen is a knave\n(4) Avery is a knight\n(5) Michael is a knave\n(6) Samuel is a knight\n(7) Grace is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jacob is a knight. No contradiction is found in their claim that Grace is a knave if and only if Avery is a knave.", "Assume Grace is a knight. No contradiction is found in their claim that Michael is a knight if and only if Owen is a knight.", "Michael cannot be a knight, because this would contradict the claim of their own that Jacob is a knave if and only if Grace is a knight.", "Assume Michael is a knave. No contradiction is found in their false claim that Jacob is a knave if and only if Grace is a knight.", "Owen cannot be a knight, because this would contradict the claim of their own that Michael is a knave if and only if Michael is a knight.", "Assume Owen is a knave. No contradiction is found in their false claim that Michael is a knave if and only if Michael is a knight.", "Assume Avery is a knight. No contradiction is found in their claim that Jacob is a knight.", "Aria cannot be a knight, because this would contradict the claim of their own that Grace is a knave.", "Assume Aria is a knave. No contradiction is found in their false claim that Grace is a knave.", "Assume Samuel is a knight. No contradiction is found in their claim that Avery is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 6), ('lying', 3)), ('lying', 6), ('<=>', ('lying', 4), ('telling-truth', 4)), ('telling-truth', 0), ('<=>', ('lying', 0), ('telling-truth', 6)), ('telling-truth', 3), ('<=>', ('telling-truth', 4), ('telling-truth', 2)))", "index": 1049}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Riley, Ella, Charlotte, Victoria, Emily, Aurora, and Elizabeth. As Riley put it, \"Ella is a knight\". Ella commented, \"Emily is not a knight\". As Charlotte put it, \"Elizabeth is a knave and Ella is a knight\". Victoria commented, \"Emily is not a knave\". \"Elizabeth is a knight and Charlotte is a knave\" - Emily. In a statement by Aurora: \"If Victoria is a knight then Riley is a knight\". \"Victoria is a knave or Riley is a knave,\" Elizabeth declared. So who is a knight and who is a knave?", "names": ["Riley", "Ella", "Charlotte", "Victoria", "Emily", "Aurora", "Elizabeth"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true, true, false, true], "solution_text": "Riley is a knave, Ella is a knave, Charlotte is a knave, Victoria is a knight, Emily is a knight, Aurora is a knave, and Elizabeth is a knight.", "solution_text_format": "(1) Riley is a knave\n(2) Ella is a knave\n(3) Charlotte is a knave\n(4) Victoria is a knight\n(5) Emily is a knight\n(6) Aurora is a knave\n(7) Elizabeth is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Riley is a knight. No contradiction is found in their claim that Ella is a knight.", "Assume Ella is a knight. No contradiction is found in their claim that Emily is not a knight.", "Emily cannot be a knight, because this would contradict the claim of Ella that Emily is not a knight.", "Assume Emily is a knave. No contradiction is found in their false claim that Elizabeth is a knight and Charlotte is a knave.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Victoria is a knave or Riley is a knave.", "Victoria cannot be a knight, because this would contradict the claim of their own that Emily is not a knave.", "Assume Victoria is a knave. No contradiction is found in their false claim that Emily is not a knave.", "Charlotte cannot be a knight, because this would contradict the claim of their own that Elizabeth is a knave and Ella is a knight.", "Charlotte cannot be a knave, because this would contradict the false claim of Emily that Elizabeth is a knight and Charlotte is a knave.", "We have exhausted all possibilities for Charlotte and Victoria, so let us go back and reconsider Elizabeth.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Victoria is a knave or Riley is a knave.", "Victoria cannot be a knight, because this would contradict the claim of their own that Emily is not a knave.", "Victoria cannot be a knave, because this would contradict the false claim of Elizabeth that Victoria is a knave or Riley is a knave.", "We have exhausted all possibilities for Victoria, Elizabeth, and Emily, so let us go back and reconsider Ella.", "Ella cannot be a knave, because this would contradict the claim of Riley that Ella is a knight.", "We have exhausted all possibilities for Ella, so let us go back and reconsider Riley.", "Assume Riley is a knave. No contradiction is found in their false claim that Ella is a knight.", "Ella cannot be a knight, because this would contradict the false claim of Riley that Ella is a knight.", "Assume Ella is a knave. No contradiction is found in their false claim that Emily is not a knight.", "Assume Emily is a knight. No contradiction is found in their claim that Elizabeth is a knight and Charlotte is a knave.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Victoria is a knave or Riley is a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that Emily is not a knave.", "Charlotte cannot be a knight, because this would contradict the claim of their own that Elizabeth is a knave and Ella is a knight.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Elizabeth is a knave and Ella is a knight.", "Aurora cannot be a knight, because this would contradict the claim of their own that If Victoria is a knight then Riley is a knight.", "Assume Aurora is a knave. No contradiction is found in their false claim that If Victoria is a knight then Riley is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 1), ('not', ('telling-truth', 4)), ('and', ('lying', 6), ('telling-truth', 1)), ('not', ('lying', 4)), ('and', ('telling-truth', 6), ('lying', 2)), ('->', ('telling-truth', 3), ('telling-truth', 0)), ('or', ('lying', 3), ('lying', 0)))", "index": 1050}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Ella, Elizabeth, David, Penelope, Charlotte, James, and Liam. Ella told you that David is a knight. As Elizabeth put it, \"David is a knave\". David expressed that David is a knight and James is a knight. \"Liam is not a knight,\" Penelope claimed. Charlotte stated, \"David is a knight and James is a knight\". James told you that David is not a knave. In a statement by Liam: \"Penelope is a knight and James is a knave\". So who is a knight and who is a knave?", "names": ["Ella", "Elizabeth", "David", "Penelope", "Charlotte", "James", "Liam"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, true, true, false], "solution_text": "Ella is a knight, Elizabeth is a knave, David is a knight, Penelope is a knight, Charlotte is a knight, James is a knight, and Liam is a knave.", "solution_text_format": "(1) Ella is a knight\n(2) Elizabeth is a knave\n(3) David is a knight\n(4) Penelope is a knight\n(5) Charlotte is a knight\n(6) James is a knight\n(7) Liam is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ella is a knight. No contradiction is found in their claim that David is a knight.", "Assume David is a knight. No contradiction is found in their claim that David is a knight and James is a knight.", "Assume James is a knight. No contradiction is found in their claim that David is not a knave.", "Elizabeth cannot be a knight, because this would contradict the claim of their own that David is a knave.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that David is a knave.", "Assume Penelope is a knight. No contradiction is found in their claim that Liam is not a knight.", "Liam cannot be a knight, because this would contradict the claim of Penelope that Liam is not a knight.", "Assume Liam is a knave. No contradiction is found in their false claim that Penelope is a knight and James is a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that David is a knight and James is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 2), ('lying', 2), ('and', ('telling-truth', 2), ('telling-truth', 5)), ('not', ('telling-truth', 6)), ('and', ('telling-truth', 2), ('telling-truth', 5)), ('not', ('lying', 2)), ('and', ('telling-truth', 3), ('lying', 5)))", "index": 1051}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Sophia, Alexander, Owen, Daniel, Michael, Ethan, and Sofia. Sophia asserted: \"Owen is a knight and Owen is a knave\". As Alexander put it, \"Sofia is a knave or Michael is a knave\". According to Owen, \"Sofia is a knave if and only if Ethan is a knight\". \"Sofia is not a knave,\" Daniel claimed. Michael asserted: \"Owen is not a knight\". \"Daniel is a knight if and only if Sofia is a knight,\" Ethan mentioned. \"Daniel is a knight if and only if Michael is a knight\" - Sofia. So who is a knight and who is a knave?", "names": ["Sophia", "Alexander", "Owen", "Daniel", "Michael", "Ethan", "Sofia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true, true, true, true], "solution_text": "Sophia is a knave, Alexander is a knave, Owen is a knave, Daniel is a knight, Michael is a knight, Ethan is a knight, and Sofia is a knight.", "solution_text_format": "(1) Sophia is a knave\n(2) Alexander is a knave\n(3) Owen is a knave\n(4) Daniel is a knight\n(5) Michael is a knight\n(6) Ethan is a knight\n(7) Sofia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Sophia cannot be a knight, because this would contradict the claim of their own that Owen is a knight and Owen is a knave.", "Assume Sophia is a knave. No contradiction is found in their false claim that Owen is a knight and Owen is a knave.", "Assume Owen is a knight. No contradiction is found in their claim that Sofia is a knave if and only if Ethan is a knight.", "Assume Sofia is a knight. No contradiction is found in their claim that Daniel is a knight if and only if Michael is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that Sofia is not a knave.", "Michael cannot be a knight, because this would contradict the claim of their own that Owen is not a knight.", "Michael cannot be a knave, because this would contradict the claim of Sofia that Daniel is a knight if and only if Michael is a knight.", "We have exhausted all possibilities for Michael, so let us go back and reconsider Daniel.", "Daniel cannot be a knave, because this would contradict the false claim of their own that Sofia is not a knave.", "We have exhausted all possibilities for Daniel, so let us go back and reconsider Sofia.", "Assume Sofia is a knave. No contradiction is found in their false claim that Daniel is a knight if and only if Michael is a knight.", "Daniel cannot be a knight, because this would contradict the claim of their own that Sofia is not a knave.", "Assume Daniel is a knave. No contradiction is found in their false claim that Sofia is not a knave.", "Michael cannot be a knight, because this would contradict the claim of their own that Owen is not a knight.", "Michael cannot be a knave, because this would contradict the false claim of Sofia that Daniel is a knight if and only if Michael is a knight.", "We have exhausted all possibilities for Michael, Daniel, and Sofia, so let us go back and reconsider Owen.", "Assume Owen is a knave. No contradiction is found in their false claim that Sofia is a knave if and only if Ethan is a knight.", "Assume Sofia is a knight. No contradiction is found in their claim that Daniel is a knight if and only if Michael is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that Sofia is not a knave.", "Assume Michael is a knight. No contradiction is found in their claim that Owen is not a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that Daniel is a knight if and only if Sofia is a knight.", "Alexander cannot be a knight, because this would contradict the claim of their own that Sofia is a knave or Michael is a knave.", "Assume Alexander is a knave. No contradiction is found in their false claim that Sofia is a knave or Michael is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 2), ('lying', 2)), ('or', ('lying', 6), ('lying', 4)), ('<=>', ('lying', 6), ('telling-truth', 5)), ('not', ('lying', 6)), ('not', ('telling-truth', 2)), ('<=>', ('telling-truth', 3), ('telling-truth', 6)), ('<=>', ('telling-truth', 3), ('telling-truth', 4)))", "index": 1052}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Sofia, Mason, Jacob, Jackson, David, Aiden, and Emma. \"Mason is a knave,\" Sofia declared. Mason stated, \"Jackson is a knave\". \"Emma is a knave if and only if David is a knave\" - Jacob. Jackson told you that Aiden is not a knight. \"Emma is a knave,\" David mentioned. Aiden told you that Emma is not a knave. \"Mason is a knight or Jackson is a knight,\" Emma claimed. So who is a knight and who is a knave?", "names": ["Sofia", "Mason", "Jacob", "Jackson", "David", "Aiden", "Emma"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false, false, true, true], "solution_text": "Sofia is a knave, Mason is a knight, Jacob is a knave, Jackson is a knave, David is a knave, Aiden is a knight, and Emma is a knight.", "solution_text_format": "(1) Sofia is a knave\n(2) Mason is a knight\n(3) Jacob is a knave\n(4) Jackson is a knave\n(5) David is a knave\n(6) Aiden is a knight\n(7) Emma is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sofia is a knight. No contradiction is found in their claim that Mason is a knave.", "Mason cannot be a knight, because this would contradict the claim of Sofia that Mason is a knave.", "Assume Mason is a knave. No contradiction is found in their false claim that Jackson is a knave.", "Assume Jackson is a knight. No contradiction is found in their claim that Aiden is not a knight.", "Aiden cannot be a knight, because this would contradict the claim of Jackson that Aiden is not a knight.", "Assume Aiden is a knave. No contradiction is found in their false claim that Emma is not a knave.", "Emma cannot be a knight, because this would contradict the false claim of Aiden that Emma is not a knave.", "Emma cannot be a knave, because this would contradict the false claim of their own that Mason is a knight or Jackson is a knight.", "We have exhausted all possibilities for Emma and Aiden, so let us go back and reconsider Jackson.", "Jackson cannot be a knave, because this would contradict the false claim of Mason that Jackson is a knave.", "We have exhausted all possibilities for Jackson and Mason, so let us go back and reconsider Sofia.", "Assume Sofia is a knave. No contradiction is found in their false claim that Mason is a knave.", "Assume Mason is a knight. No contradiction is found in their claim that Jackson is a knave.", "Jackson cannot be a knight, because this would contradict the claim of Mason that Jackson is a knave.", "Assume Jackson is a knave. No contradiction is found in their false claim that Aiden is not a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that Emma is not a knave.", "Assume Emma is a knight. No contradiction is found in their claim that Mason is a knight or Jackson is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that Emma is a knave if and only if David is a knave.", "David cannot be a knight, because this would contradict the claim of their own that Emma is a knave.", "David cannot be a knave, because this would contradict the claim of Jacob that Emma is a knave if and only if David is a knave.", "We have exhausted all possibilities for David, so let us go back and reconsider Jacob.", "Assume Jacob is a knave. No contradiction is found in their false claim that Emma is a knave if and only if David is a knave.", "David cannot be a knight, because this would contradict the false claim of Jacob that Emma is a knave if and only if David is a knave.", "Assume David is a knave. No contradiction is found in their false claim that Emma is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('lying', 3), ('<=>', ('lying', 6), ('lying', 4)), ('not', ('telling-truth', 5)), ('lying', 6), ('not', ('lying', 6)), ('or', ('telling-truth', 1), ('telling-truth', 3)))", "index": 1053}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Alexander, Luke, Henry, Chloe, Daniel, Riley, and Mia. \"Mia is a knave and Mia is a knight,\" Alexander mentioned. Luke said that Chloe is a knave if and only if Riley is a knave. In a statement by Henry: \"If Chloe is a knight then Mia is a knight\". Chloe stated, \"Riley is a knight and Henry is a knight\". Daniel said that If Luke is a knave then Daniel is a knight. Riley expressed that Mia is not a knave. Mia noted, \"Alexander is a knave or Alexander is a knight\". So who is a knight and who is a knave?", "names": ["Alexander", "Luke", "Henry", "Chloe", "Daniel", "Riley", "Mia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, true, true, true], "solution_text": "Alexander is a knave, Luke is a knight, Henry is a knight, Chloe is a knight, Daniel is a knight, Riley is a knight, and Mia is a knight.", "solution_text_format": "(1) Alexander is a knave\n(2) Luke is a knight\n(3) Henry is a knight\n(4) Chloe is a knight\n(5) Daniel is a knight\n(6) Riley is a knight\n(7) Mia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Alexander cannot be a knight, because this would contradict the claim of their own that Mia is a knave and Mia is a knight.", "Assume Alexander is a knave. No contradiction is found in their false claim that Mia is a knave and Mia is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that Alexander is a knave or Alexander is a knight.", "Assume Luke is a knight. No contradiction is found in their claim that Chloe is a knave if and only if Riley is a knave.", "Assume Chloe is a knight. No contradiction is found in their claim that Riley is a knight and Henry is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that Mia is not a knave.", "Assume Henry is a knight. No contradiction is found in their claim that If Chloe is a knight then Mia is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that If Luke is a knave then Daniel is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 6), ('telling-truth', 6)), ('<=>', ('lying', 3), ('lying', 5)), ('->', ('telling-truth', 3), ('telling-truth', 6)), ('and', ('telling-truth', 5), ('telling-truth', 2)), ('->', ('lying', 1), ('telling-truth', 4)), ('not', ('lying', 6)), ('or', ('lying', 0), ('telling-truth', 0)))", "index": 1054}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Ella, Sofia, Emma, Jack, Ava, Aiden, and Grace. In Ella's words: \"Ava is not a knave\". Sofia said that Ava is a knave. Emma was heard saying, \"Jack is a knight\". According to Jack, \"Sofia is a knight and Ella is a knight\". Ava said, \"If Ella is a knave then Sofia is a knight.\" Aiden expressed that If Grace is a knave then Sofia is a knight. Grace was heard saying, \"Sofia is not a knave\". So who is a knight and who is a knave?", "names": ["Ella", "Sofia", "Emma", "Jack", "Ava", "Aiden", "Grace"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false, true, false, false], "solution_text": "Ella is a knight, Sofia is a knave, Emma is a knave, Jack is a knave, Ava is a knight, Aiden is a knave, and Grace is a knave.", "solution_text_format": "(1) Ella is a knight\n(2) Sofia is a knave\n(3) Emma is a knave\n(4) Jack is a knave\n(5) Ava is a knight\n(6) Aiden is a knave\n(7) Grace is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ella is a knight. No contradiction is found in their claim that Ava is not a knave.", "Assume Ava is a knight. No contradiction is found in their claim that If Ella is a knave then Sofia is a knight.", "Sofia cannot be a knight, because this would contradict the claim of their own that Ava is a knave.", "Assume Sofia is a knave. No contradiction is found in their false claim that Ava is a knave.", "Assume Emma is a knight. No contradiction is found in their claim that Jack is a knight.", "Jack cannot be a knight, because this would contradict the claim of their own that Sofia is a knight and Ella is a knight.", "Jack cannot be a knave, because this would contradict the claim of Emma that Jack is a knight.", "We have exhausted all possibilities for Jack, so let us go back and reconsider Emma.", "Assume Emma is a knave. No contradiction is found in their false claim that Jack is a knight.", "Jack cannot be a knight, because this would contradict the false claim of Emma that Jack is a knight.", "Assume Jack is a knave. No contradiction is found in their false claim that Sofia is a knight and Ella is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that If Grace is a knave then Sofia is a knight.", "Grace cannot be a knight, because this would contradict the claim of their own that Sofia is not a knave.", "Grace cannot be a knave, because this would contradict the claim of Aiden that If Grace is a knave then Sofia is a knight.", "We have exhausted all possibilities for Grace, so let us go back and reconsider Aiden.", "Assume Aiden is a knave. No contradiction is found in their false claim that If Grace is a knave then Sofia is a knight.", "Grace cannot be a knight, because this would contradict the false claim of Aiden that If Grace is a knave then Sofia is a knight.", "Assume Grace is a knave. No contradiction is found in their false claim that Sofia is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 4)), ('lying', 4), ('telling-truth', 3), ('and', ('telling-truth', 1), ('telling-truth', 0)), ('->', ('lying', 0), ('telling-truth', 1)), ('->', ('lying', 6), ('telling-truth', 1)), ('not', ('lying', 1)))", "index": 1055}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Jacob, Noah, Penelope, William, Grace, Alexander, and Liam. Jacob told you that Noah is a knave or William is a knave. Noah was heard saying, \"Grace is a knight if and only if Alexander is a knight\". Penelope told you that If Noah is a knight then Jacob is a knight. \"Noah is not a knight,\" William claimed. Grace said, \"Jacob is a knight and Grace is a knight.\" Alexander stated, \"If Grace is a knave then Liam is a knight\". \"Grace is a knave if and only if Noah is a knight,\" Liam mentioned. So who is a knight and who is a knave?", "names": ["Jacob", "Noah", "Penelope", "William", "Grace", "Alexander", "Liam"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false, true, true, false], "solution_text": "Jacob is a knight, Noah is a knight, Penelope is a knight, William is a knave, Grace is a knight, Alexander is a knight, and Liam is a knave.", "solution_text_format": "(1) Jacob is a knight\n(2) Noah is a knight\n(3) Penelope is a knight\n(4) William is a knave\n(5) Grace is a knight\n(6) Alexander is a knight\n(7) Liam is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jacob is a knight. No contradiction is found in their claim that Noah is a knave or William is a knave.", "Assume Noah is a knight. No contradiction is found in their claim that Grace is a knight if and only if Alexander is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that Jacob is a knight and Grace is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that If Grace is a knave then Liam is a knight.", "Liam cannot be a knight, because this would contradict the claim of their own that Grace is a knave if and only if Noah is a knight.", "Assume Liam is a knave. No contradiction is found in their false claim that Grace is a knave if and only if Noah is a knight.", "William cannot be a knight, because this would contradict the claim of Jacob that Noah is a knave or William is a knave.", "Assume William is a knave. No contradiction is found in their false claim that Noah is not a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that If Noah is a knight then Jacob is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('lying', 3)), ('<=>', ('telling-truth', 4), ('telling-truth', 5)), ('->', ('telling-truth', 1), ('telling-truth', 0)), ('not', ('telling-truth', 1)), ('and', ('telling-truth', 0), ('telling-truth', 4)), ('->', ('lying', 4), ('telling-truth', 6)), ('<=>', ('lying', 4), ('telling-truth', 1)))", "index": 1056}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Harper, Ethan, Grace, Aurora, Ava, Mason, and Jackson. Harper remarked, \"Ethan is a knave if and only if Aurora is a knight\". Ethan said, \"If Harper is a knight then Grace is a knave.\" In a statement by Grace: \"Harper is a knight and Grace is a knight\". \"If Mason is a knight then Mason is a knave\" - Aurora. According to Ava, \"Grace is a knight if and only if Ava is a knight\". Mason said that Harper is a knave if and only if Ava is a knave. Jackson remarked, \"Mason is a knight or Harper is a knave\". So who is a knight and who is a knave?", "names": ["Harper", "Ethan", "Grace", "Aurora", "Ava", "Mason", "Jackson"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, false, false, false], "solution_text": "Harper is a knight, Ethan is a knave, Grace is a knight, Aurora is a knight, Ava is a knave, Mason is a knave, and Jackson is a knave.", "solution_text_format": "(1) Harper is a knight\n(2) Ethan is a knave\n(3) Grace is a knight\n(4) Aurora is a knight\n(5) Ava is a knave\n(6) Mason is a knave\n(7) Jackson is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Harper is a knight. No contradiction is found in their claim that Ethan is a knave if and only if Aurora is a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that If Harper is a knight then Grace is a knave.", "Grace cannot be a knight, because this would contradict the claim of Ethan that If Harper is a knight then Grace is a knave.", "Assume Grace is a knave. No contradiction is found in their false claim that Harper is a knight and Grace is a knight.", "Aurora cannot be a knight, because this would contradict the claim of Harper that Ethan is a knave if and only if Aurora is a knight.", "Assume Aurora is a knave. No contradiction is found in their false claim that If Mason is a knight then Mason is a knave.", "Assume Mason is a knight. No contradiction is found in their claim that Harper is a knave if and only if Ava is a knave.", "Ava cannot be a knight, because this would contradict the claim of their own that Grace is a knight if and only if Ava is a knight.", "Ava cannot be a knave, because this would contradict the false claim of their own that Grace is a knight if and only if Ava is a knight.", "We have exhausted all possibilities for Ava, so let us go back and reconsider Mason.", "Mason cannot be a knave, because this would contradict the false claim of Aurora that If Mason is a knight then Mason is a knave.", "We have exhausted all possibilities for Mason, Aurora, and Grace, so let us go back and reconsider Ethan.", "Assume Ethan is a knave. No contradiction is found in their false claim that If Harper is a knight then Grace is a knave.", "Assume Grace is a knight. No contradiction is found in their claim that Harper is a knight and Grace is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that If Mason is a knight then Mason is a knave.", "Mason cannot be a knight, because this would contradict the claim of Aurora that If Mason is a knight then Mason is a knave.", "Assume Mason is a knave. No contradiction is found in their false claim that Harper is a knave if and only if Ava is a knave.", "Ava cannot be a knight, because this would contradict the false claim of Mason that Harper is a knave if and only if Ava is a knave.", "Assume Ava is a knave. No contradiction is found in their false claim that Grace is a knight if and only if Ava is a knight.", "Jackson cannot be a knight, because this would contradict the claim of their own that Mason is a knight or Harper is a knave.", "Assume Jackson is a knave. No contradiction is found in their false claim that Mason is a knight or Harper is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('telling-truth', 3)), ('->', ('telling-truth', 0), ('lying', 2)), ('and', ('telling-truth', 0), ('telling-truth', 2)), ('->', ('telling-truth', 5), ('lying', 5)), ('<=>', ('telling-truth', 2), ('telling-truth', 4)), ('<=>', ('lying', 0), ('lying', 4)), ('or', ('telling-truth', 5), ('lying', 0)))", "index": 1057}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Aurora, Emily, Scarlett, Penelope, Amelia, Logan, and Aria. \"Scarlett is a knave or Aria is a knight,\" Aurora declared. According to Emily, \"Penelope is a knight or Aurora is a knight\". Scarlett said, \"Logan is a knight and Penelope is a knave.\" \"Scarlett is a knight or Scarlett is a knave,\" Penelope claimed. \"Penelope is a knave if and only if Aria is a knave,\" Amelia declared. According to Logan, \"Scarlett is not a knave\". Aria was heard saying, \"If Scarlett is a knight then Penelope is a knight\". So who is a knight and who is a knave?", "names": ["Aurora", "Emily", "Scarlett", "Penelope", "Amelia", "Logan", "Aria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true, true, false, true], "solution_text": "Aurora is a knight, Emily is a knight, Scarlett is a knave, Penelope is a knight, Amelia is a knight, Logan is a knave, and Aria is a knight.", "solution_text_format": "(1) Aurora is a knight\n(2) Emily is a knight\n(3) Scarlett is a knave\n(4) Penelope is a knight\n(5) Amelia is a knight\n(6) Logan is a knave\n(7) Aria is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aurora is a knight. No contradiction is found in their claim that Scarlett is a knave or Aria is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that Logan is a knight and Penelope is a knave.", "Assume Logan is a knight. No contradiction is found in their claim that Scarlett is not a knave.", "Penelope cannot be a knight, because this would contradict the claim of Scarlett that Logan is a knight and Penelope is a knave.", "Penelope cannot be a knave, because this would contradict the false claim of their own that Scarlett is a knight or Scarlett is a knave.", "We have exhausted all possibilities for Penelope, so let us go back and reconsider Logan.", "Logan cannot be a knave, because this would contradict the claim of Scarlett that Logan is a knight and Penelope is a knave.", "We have exhausted all possibilities for Logan, so let us go back and reconsider Scarlett.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Logan is a knight and Penelope is a knave.", "Logan cannot be a knight, because this would contradict the claim of their own that Scarlett is not a knave.", "Assume Logan is a knave. No contradiction is found in their false claim that Scarlett is not a knave.", "Assume Penelope is a knight. No contradiction is found in their claim that Scarlett is a knight or Scarlett is a knave.", "Assume Aria is a knight. No contradiction is found in their claim that If Scarlett is a knight then Penelope is a knight.", "Assume Emily is a knight. No contradiction is found in their claim that Penelope is a knight or Aurora is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that Penelope is a knave if and only if Aria is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 2), ('telling-truth', 6)), ('or', ('telling-truth', 3), ('telling-truth', 0)), ('and', ('telling-truth', 5), ('lying', 3)), ('or', ('telling-truth', 2), ('lying', 2)), ('<=>', ('lying', 3), ('lying', 6)), ('not', ('lying', 2)), ('->', ('telling-truth', 2), ('telling-truth', 3)))", "index": 1058}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: James, Amelia, Ella, Jacob, William, David, and Charlotte. \"Amelia is not a knave,\" James claimed. Amelia said that Charlotte is a knave and William is a knight. \"Jacob is a knave or James is a knave\" - Ella. \"Amelia is a knave if and only if William is a knave,\" Jacob claimed. William noted, \"If David is a knave then Charlotte is a knave\". \"David is a knight,\" David claimed. Charlotte asserted: \"If Jacob is a knight then Amelia is a knight\". So who is a knight and who is a knave?", "names": ["James", "Amelia", "Ella", "Jacob", "William", "David", "Charlotte"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false, true, true, true], "solution_text": "James is a knave, Amelia is a knave, Ella is a knight, Jacob is a knave, William is a knight, David is a knight, and Charlotte is a knight.", "solution_text_format": "(1) James is a knave\n(2) Amelia is a knave\n(3) Ella is a knight\n(4) Jacob is a knave\n(5) William is a knight\n(6) David is a knight\n(7) Charlotte is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume James is a knight. No contradiction is found in their claim that Amelia is not a knave.", "Assume Amelia is a knight. No contradiction is found in their claim that Charlotte is a knave and William is a knight.", "Charlotte cannot be a knight, because this would contradict the claim of Amelia that Charlotte is a knave and William is a knight.", "Charlotte cannot be a knave, because this would contradict the false claim of their own that If Jacob is a knight then Amelia is a knight.", "We have exhausted all possibilities for Charlotte, so let us go back and reconsider Amelia.", "Amelia cannot be a knave, because this would contradict the claim of James that Amelia is not a knave.", "We have exhausted all possibilities for Amelia, so let us go back and reconsider James.", "Assume James is a knave. No contradiction is found in their false claim that Amelia is not a knave.", "Amelia cannot be a knight, because this would contradict the false claim of James that Amelia is not a knave.", "Assume Amelia is a knave. No contradiction is found in their false claim that Charlotte is a knave and William is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that If Jacob is a knight then Amelia is a knight.", "Jacob cannot be a knight, because this would contradict the claim of Charlotte that If Jacob is a knight then Amelia is a knight.", "Assume Jacob is a knave. No contradiction is found in their false claim that Amelia is a knave if and only if William is a knave.", "Assume William is a knight. No contradiction is found in their claim that If David is a knave then Charlotte is a knave.", "Assume David is a knight. No contradiction is found in their claim that David is a knight.", "Assume Ella is a knight. No contradiction is found in their claim that Jacob is a knave or James is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 1)), ('and', ('lying', 6), ('telling-truth', 4)), ('or', ('lying', 3), ('lying', 0)), ('<=>', ('lying', 1), ('lying', 4)), ('->', ('lying', 5), ('lying', 6)), ('telling-truth', 5), ('->', ('telling-truth', 3), ('telling-truth', 1)))", "index": 1059}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Charlotte, Liam, Lily, Mason, Oliver, Chloe, and Owen. Charlotte commented, \"If Owen is a knave then Owen is a knight\". \"Chloe is not a knave,\" Liam mentioned. Lily expressed that Mason is a knight. \"Lily is a knight if and only if Mason is a knight,\" Mason mentioned. Oliver expressed that Lily is not a knave. Chloe commented, \"Owen is not a knight\". \"Lily is a knave and Chloe is a knave,\" Owen claimed. So who is a knight and who is a knave?", "names": ["Charlotte", "Liam", "Lily", "Mason", "Oliver", "Chloe", "Owen"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, true, true, false], "solution_text": "Charlotte is a knave, Liam is a knight, Lily is a knight, Mason is a knight, Oliver is a knight, Chloe is a knight, and Owen is a knave.", "solution_text_format": "(1) Charlotte is a knave\n(2) Liam is a knight\n(3) Lily is a knight\n(4) Mason is a knight\n(5) Oliver is a knight\n(6) Chloe is a knight\n(7) Owen is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Charlotte is a knight. No contradiction is found in their claim that If Owen is a knave then Owen is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that Lily is a knave and Chloe is a knave.", "Lily cannot be a knight, because this would contradict the claim of Owen that Lily is a knave and Chloe is a knave.", "Assume Lily is a knave. No contradiction is found in their false claim that Mason is a knight.", "Mason cannot be a knight, because this would contradict the false claim of Lily that Mason is a knight.", "Mason cannot be a knave, because this would contradict the false claim of their own that Lily is a knight if and only if Mason is a knight.", "We have exhausted all possibilities for Mason and Lily, so let us go back and reconsider Owen.", "Owen cannot be a knave, because this would contradict the claim of Charlotte that If Owen is a knave then Owen is a knight.", "We have exhausted all possibilities for Owen, so let us go back and reconsider Charlotte.", "Assume Charlotte is a knave. No contradiction is found in their false claim that If Owen is a knave then Owen is a knight.", "Owen cannot be a knight, because this would contradict the false claim of Charlotte that If Owen is a knave then Owen is a knight.", "Assume Owen is a knave. No contradiction is found in their false claim that Lily is a knave and Chloe is a knave.", "Assume Lily is a knight. No contradiction is found in their claim that Mason is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that Lily is a knight if and only if Mason is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that Owen is not a knight.", "Assume Liam is a knight. No contradiction is found in their claim that Chloe is not a knave.", "Assume Oliver is a knight. No contradiction is found in their claim that Lily is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 6), ('telling-truth', 6)), ('not', ('lying', 5)), ('telling-truth', 3), ('<=>', ('telling-truth', 2), ('telling-truth', 3)), ('not', ('lying', 2)), ('not', ('telling-truth', 6)), ('and', ('lying', 2), ('lying', 5)))", "index": 1060}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Victoria, Luke, Evelyn, William, Daniel, Henry, and Emily. Victoria asserted: \"Luke is a knave or Daniel is a knight\". Luke said, \"Victoria is a knave or William is a knight.\" Evelyn was heard saying, \"If Luke is a knight then Victoria is a knave\". William was heard saying, \"Daniel is a knave and Emily is a knight\". Daniel told you that Henry is a knight and Victoria is a knight. \"Victoria is a knight or William is a knave,\" Henry declared. In a statement by Emily: \"If Henry is a knave then Victoria is a knight\". So who is a knight and who is a knave?", "names": ["Victoria", "Luke", "Evelyn", "William", "Daniel", "Henry", "Emily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false, true, true, true], "solution_text": "Victoria is a knight, Luke is a knave, Evelyn is a knight, William is a knave, Daniel is a knight, Henry is a knight, and Emily is a knight.", "solution_text_format": "(1) Victoria is a knight\n(2) Luke is a knave\n(3) Evelyn is a knight\n(4) William is a knave\n(5) Daniel is a knight\n(6) Henry is a knight\n(7) Emily is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Victoria is a knight. No contradiction is found in their claim that Luke is a knave or Daniel is a knight.", "Assume Luke is a knight. No contradiction is found in their claim that Victoria is a knave or William is a knight.", "Assume William is a knight. No contradiction is found in their claim that Daniel is a knave and Emily is a knight.", "Daniel cannot be a knight, because this would contradict the claim of William that Daniel is a knave and Emily is a knight.", "Daniel cannot be a knave, because this would contradict the claim of Victoria that Luke is a knave or Daniel is a knight.", "We have exhausted all possibilities for Daniel, so let us go back and reconsider William.", "William cannot be a knave, because this would contradict the claim of Luke that Victoria is a knave or William is a knight.", "We have exhausted all possibilities for William, so let us go back and reconsider Luke.", "Assume Luke is a knave. No contradiction is found in their false claim that Victoria is a knave or William is a knight.", "William cannot be a knight, because this would contradict the false claim of Luke that Victoria is a knave or William is a knight.", "Assume William is a knave. No contradiction is found in their false claim that Daniel is a knave and Emily is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that Henry is a knight and Victoria is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that Victoria is a knight or William is a knave.", "Assume Emily is a knight. No contradiction is found in their claim that If Henry is a knave then Victoria is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that If Luke is a knight then Victoria is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('telling-truth', 4)), ('or', ('lying', 0), ('telling-truth', 3)), ('->', ('telling-truth', 1), ('lying', 0)), ('and', ('lying', 4), ('telling-truth', 6)), ('and', ('telling-truth', 5), ('telling-truth', 0)), ('or', ('telling-truth', 0), ('lying', 3)), ('->', ('lying', 5), ('telling-truth', 0)))", "index": 1061}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Emma, Owen, Alexander, Sebastian, Aria, Ava, and William. Emma noted, \"Owen is a knight if and only if Sebastian is a knave\". As Owen put it, \"Ava is a knight and Emma is a knight\". Alexander noted, \"Ava is a knight and William is a knave\". \"Owen is a knight\" - Sebastian. Aria said that Owen is a knight. \"Owen is a knave,\" Ava claimed. William was heard saying, \"Aria is a knight and William is a knight\". So who is a knight and who is a knave?", "names": ["Emma", "Owen", "Alexander", "Sebastian", "Aria", "Ava", "William"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false, false, true, false], "solution_text": "Emma is a knave, Owen is a knave, Alexander is a knight, Sebastian is a knave, Aria is a knave, Ava is a knight, and William is a knave.", "solution_text_format": "(1) Emma is a knave\n(2) Owen is a knave\n(3) Alexander is a knight\n(4) Sebastian is a knave\n(5) Aria is a knave\n(6) Ava is a knight\n(7) William is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Emma is a knight. No contradiction is found in their claim that Owen is a knight if and only if Sebastian is a knave.", "Assume Owen is a knight. No contradiction is found in their claim that Ava is a knight and Emma is a knight.", "Ava cannot be a knight, because this would contradict the claim of their own that Owen is a knave.", "Ava cannot be a knave, because this would contradict the claim of Owen that Ava is a knight and Emma is a knight.", "We have exhausted all possibilities for Ava, so let us go back and reconsider Owen.", "Assume Owen is a knave. No contradiction is found in their false claim that Ava is a knight and Emma is a knight.", "Ava cannot be a knight, because this would contradict the false claim of Owen that Ava is a knight and Emma is a knight.", "Ava cannot be a knave, because this would contradict the false claim of their own that Owen is a knave.", "We have exhausted all possibilities for Ava and Owen, so let us go back and reconsider Emma.", "Assume Emma is a knave. No contradiction is found in their false claim that Owen is a knight if and only if Sebastian is a knave.", "Owen cannot be a knight, because this would contradict the claim of their own that Ava is a knight and Emma is a knight.", "Assume Owen is a knave. No contradiction is found in their false claim that Ava is a knight and Emma is a knight.", "Assume Ava is a knight. No contradiction is found in their claim that Owen is a knave.", "Sebastian cannot be a knight, because this would contradict the false claim of Emma that Owen is a knight if and only if Sebastian is a knave.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Owen is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that Ava is a knight and William is a knave.", "William cannot be a knight, because this would contradict the claim of Alexander that Ava is a knight and William is a knave.", "Assume William is a knave. No contradiction is found in their false claim that Aria is a knight and William is a knight.", "Aria cannot be a knight, because this would contradict the claim of their own that Owen is a knight.", "Assume Aria is a knave. No contradiction is found in their false claim that Owen is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('lying', 3)), ('and', ('telling-truth', 5), ('telling-truth', 0)), ('and', ('telling-truth', 5), ('lying', 6)), ('telling-truth', 1), ('telling-truth', 1), ('lying', 1), ('and', ('telling-truth', 4), ('telling-truth', 6)))", "index": 1062}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Benjamin, Penelope, Sophia, Logan, Evelyn, Amelia, and Riley. In Benjamin's words: \"If Sophia is a knight then Amelia is a knave\". Penelope was heard saying, \"Penelope is a knight if and only if Evelyn is a knight\". Sophia was heard saying, \"Penelope is a knight\". Logan commented, \"If Logan is a knight then Amelia is a knave\". Evelyn noted, \"If Amelia is a knave then Penelope is a knight\". \"Penelope is a knave if and only if Sophia is a knight,\" Amelia mentioned. Riley noted, \"Amelia is a knight if and only if Evelyn is a knight\". So who is a knight and who is a knave?", "names": ["Benjamin", "Penelope", "Sophia", "Logan", "Evelyn", "Amelia", "Riley"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, true, false, false], "solution_text": "Benjamin is a knight, Penelope is a knight, Sophia is a knight, Logan is a knight, Evelyn is a knight, Amelia is a knave, and Riley is a knave.", "solution_text_format": "(1) Benjamin is a knight\n(2) Penelope is a knight\n(3) Sophia is a knight\n(4) Logan is a knight\n(5) Evelyn is a knight\n(6) Amelia is a knave\n(7) Riley is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Benjamin is a knight. No contradiction is found in their claim that If Sophia is a knight then Amelia is a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that Penelope is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that Penelope is a knight if and only if Evelyn is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that If Amelia is a knave then Penelope is a knight.", "Amelia cannot be a knight, because this would contradict the claim of Benjamin that If Sophia is a knight then Amelia is a knave.", "Assume Amelia is a knave. No contradiction is found in their false claim that Penelope is a knave if and only if Sophia is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that If Logan is a knight then Amelia is a knave.", "Riley cannot be a knight, because this would contradict the claim of their own that Amelia is a knight if and only if Evelyn is a knight.", "Assume Riley is a knave. No contradiction is found in their false claim that Amelia is a knight if and only if Evelyn is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 2), ('lying', 5)), ('<=>', ('telling-truth', 1), ('telling-truth', 4)), ('telling-truth', 1), ('->', ('telling-truth', 3), ('lying', 5)), ('->', ('lying', 5), ('telling-truth', 1)), ('<=>', ('lying', 1), ('telling-truth', 2)), ('<=>', ('telling-truth', 5), ('telling-truth', 4)))", "index": 1063}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Ethan, Amelia, Noah, Daniel, Charlotte, Jacob, and Jack. Ethan said that If Jacob is a knave then Amelia is a knight. \"Charlotte is a knight,\" Amelia declared. \"Jack is a knight and Amelia is a knight\" - Noah. \"Amelia is a knave if and only if Ethan is a knave,\" Daniel declared. Charlotte expressed that Ethan is a knave or Jacob is a knight. In a statement by Jacob: \"Daniel is a knight or Charlotte is a knave\". Jack remarked, \"Amelia is a knave or Ethan is a knight\". So who is a knight and who is a knave?", "names": ["Ethan", "Amelia", "Noah", "Daniel", "Charlotte", "Jacob", "Jack"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, true, true, true], "solution_text": "Ethan is a knight, Amelia is a knight, Noah is a knight, Daniel is a knight, Charlotte is a knight, Jacob is a knight, and Jack is a knight.", "solution_text_format": "(1) Ethan is a knight\n(2) Amelia is a knight\n(3) Noah is a knight\n(4) Daniel is a knight\n(5) Charlotte is a knight\n(6) Jacob is a knight\n(7) Jack is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ethan is a knight. No contradiction is found in their claim that If Jacob is a knave then Amelia is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that Daniel is a knight or Charlotte is a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that Amelia is a knave if and only if Ethan is a knave.", "Assume Amelia is a knight. No contradiction is found in their claim that Charlotte is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that Ethan is a knave or Jacob is a knight.", "Assume Noah is a knight. No contradiction is found in their claim that Jack is a knight and Amelia is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that Amelia is a knave or Ethan is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 5), ('telling-truth', 1)), ('telling-truth', 4), ('and', ('telling-truth', 6), ('telling-truth', 1)), ('<=>', ('lying', 1), ('lying', 0)), ('or', ('lying', 0), ('telling-truth', 5)), ('or', ('telling-truth', 3), ('lying', 4)), ('or', ('lying', 1), ('telling-truth', 0)))", "index": 1064}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Emily, Zoey, Penelope, Chloe, Grace, Ethan, and Matthew. As Emily put it, \"Chloe is a knave and Grace is a knight\". Zoey commented, \"Matthew is a knave and Chloe is a knave\". \"Ethan is a knave and Penelope is a knight\" - Penelope. Chloe remarked, \"Ethan is a knight and Chloe is a knight\". \"Zoey is a knave\" - Grace. Ethan commented, \"Emily is a knight if and only if Zoey is a knave\". Matthew asserted: \"Chloe is a knight\". So who is a knight and who is a knave?", "names": ["Emily", "Zoey", "Penelope", "Chloe", "Grace", "Ethan", "Matthew"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false, false, true, false], "solution_text": "Emily is a knave, Zoey is a knight, Penelope is a knave, Chloe is a knave, Grace is a knave, Ethan is a knight, and Matthew is a knave.", "solution_text_format": "(1) Emily is a knave\n(2) Zoey is a knight\n(3) Penelope is a knave\n(4) Chloe is a knave\n(5) Grace is a knave\n(6) Ethan is a knight\n(7) Matthew is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Emily is a knight. No contradiction is found in their claim that Chloe is a knave and Grace is a knight.", "Chloe cannot be a knight, because this would contradict the claim of Emily that Chloe is a knave and Grace is a knight.", "Assume Chloe is a knave. No contradiction is found in their false claim that Ethan is a knight and Chloe is a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that Emily is a knight if and only if Zoey is a knave.", "Zoey cannot be a knight, because this would contradict the claim of Ethan that Emily is a knight if and only if Zoey is a knave.", "Assume Zoey is a knave. No contradiction is found in their false claim that Matthew is a knave and Chloe is a knave.", "Matthew cannot be a knight, because this would contradict the claim of their own that Chloe is a knight.", "Matthew cannot be a knave, because this would contradict the false claim of Zoey that Matthew is a knave and Chloe is a knave.", "We have exhausted all possibilities for Matthew and Zoey, so let us go back and reconsider Ethan.", "Assume Ethan is a knave. No contradiction is found in their false claim that Emily is a knight if and only if Zoey is a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that Matthew is a knave and Chloe is a knave.", "Matthew cannot be a knight, because this would contradict the claim of Zoey that Matthew is a knave and Chloe is a knave.", "Assume Matthew is a knave. No contradiction is found in their false claim that Chloe is a knight.", "Grace cannot be a knight, because this would contradict the claim of their own that Zoey is a knave.", "Grace cannot be a knave, because this would contradict the claim of Emily that Chloe is a knave and Grace is a knight.", "We have exhausted all possibilities for Grace and Matthew, so let us go back and reconsider Zoey.", "Zoey cannot be a knave, because this would contradict the false claim of Ethan that Emily is a knight if and only if Zoey is a knave.", "We have exhausted all possibilities for Zoey, Ethan, and Chloe, so let us go back and reconsider Emily.", "Assume Emily is a knave. No contradiction is found in their false claim that Chloe is a knave and Grace is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that Ethan is a knight and Chloe is a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that Emily is a knight if and only if Zoey is a knave.", "Zoey cannot be a knight, because this would contradict the claim of their own that Matthew is a knave and Chloe is a knave.", "Zoey cannot be a knave, because this would contradict the claim of Ethan that Emily is a knight if and only if Zoey is a knave.", "We have exhausted all possibilities for Zoey, so let us go back and reconsider Ethan.", "Ethan cannot be a knave, because this would contradict the claim of Chloe that Ethan is a knight and Chloe is a knight.", "We have exhausted all possibilities for Ethan, so let us go back and reconsider Chloe.", "Assume Chloe is a knave. No contradiction is found in their false claim that Ethan is a knight and Chloe is a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that Emily is a knight if and only if Zoey is a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that Matthew is a knave and Chloe is a knave.", "Matthew cannot be a knight, because this would contradict the claim of Zoey that Matthew is a knave and Chloe is a knave.", "Assume Matthew is a knave. No contradiction is found in their false claim that Chloe is a knight.", "Grace cannot be a knight, because this would contradict the false claim of Emily that Chloe is a knave and Grace is a knight.", "Assume Grace is a knave. No contradiction is found in their false claim that Zoey is a knave.", "Penelope cannot be a knight, because this would contradict the claim of their own that Ethan is a knave and Penelope is a knight.", "Assume Penelope is a knave. No contradiction is found in their false claim that Ethan is a knave and Penelope is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 3), ('telling-truth', 4)), ('and', ('lying', 6), ('lying', 3)), ('and', ('lying', 5), ('telling-truth', 2)), ('and', ('telling-truth', 5), ('telling-truth', 3)), ('lying', 1), ('<=>', ('telling-truth', 0), ('lying', 1)), ('telling-truth', 3))", "index": 1065}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Aurora, Avery, Emma, Abigail, Jackson, Joseph, and Oliver. Aurora told you that Jackson is not a knave. \"Abigail is a knave and Jackson is a knight,\" Avery declared. Emma commented, \"Abigail is a knave if and only if Avery is a knave\". Abigail stated, \"Abigail is a knight and Aurora is a knight\". Jackson said, \"Emma is a knight or Abigail is a knight.\" \"Abigail is not a knight,\" Joseph claimed. As Oliver put it, \"Emma is a knave\". So who is a knight and who is a knave?", "names": ["Aurora", "Avery", "Emma", "Abigail", "Jackson", "Joseph", "Oliver"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, true, false, true], "solution_text": "Aurora is a knight, Avery is a knave, Emma is a knave, Abigail is a knight, Jackson is a knight, Joseph is a knave, and Oliver is a knight.", "solution_text_format": "(1) Aurora is a knight\n(2) Avery is a knave\n(3) Emma is a knave\n(4) Abigail is a knight\n(5) Jackson is a knight\n(6) Joseph is a knave\n(7) Oliver is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aurora is a knight. No contradiction is found in their claim that Jackson is not a knave.", "Assume Jackson is a knight. No contradiction is found in their claim that Emma is a knight or Abigail is a knight.", "Assume Emma is a knight. No contradiction is found in their claim that Abigail is a knave if and only if Avery is a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that Abigail is a knight and Aurora is a knight.", "Avery cannot be a knight, because this would contradict the claim of their own that Abigail is a knave and Jackson is a knight.", "Avery cannot be a knave, because this would contradict the claim of Emma that Abigail is a knave if and only if Avery is a knave.", "We have exhausted all possibilities for Avery, so let us go back and reconsider Abigail.", "Assume Abigail is a knave. No contradiction is found in their false claim that Abigail is a knight and Aurora is a knight.", "Avery cannot be a knight, because this would contradict the claim of Emma that Abigail is a knave if and only if Avery is a knave.", "Avery cannot be a knave, because this would contradict the false claim of their own that Abigail is a knave and Jackson is a knight.", "We have exhausted all possibilities for Avery and Abigail, so let us go back and reconsider Emma.", "Assume Emma is a knave. No contradiction is found in their false claim that Abigail is a knave if and only if Avery is a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that Abigail is a knight and Aurora is a knight.", "Avery cannot be a knight, because this would contradict the claim of their own that Abigail is a knave and Jackson is a knight.", "Assume Avery is a knave. No contradiction is found in their false claim that Abigail is a knave and Jackson is a knight.", "Joseph cannot be a knight, because this would contradict the claim of their own that Abigail is not a knight.", "Assume Joseph is a knave. No contradiction is found in their false claim that Abigail is not a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that Emma is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 4)), ('and', ('lying', 3), ('telling-truth', 4)), ('<=>', ('lying', 3), ('lying', 1)), ('and', ('telling-truth', 3), ('telling-truth', 0)), ('or', ('telling-truth', 2), ('telling-truth', 3)), ('not', ('telling-truth', 3)), ('lying', 2))", "index": 1066}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Michael, Harper, Mason, Daniel, Jack, Riley, and Aurora. In a statement by Michael: \"Riley is a knight and Aurora is a knight\". In a statement by Harper: \"Michael is not a knight\". Mason noted, \"Michael is a knave or Harper is a knave\". Daniel was heard saying, \"Michael is a knight and Harper is a knight\". Jack expressed that Harper is a knight. \"If Michael is a knight then Mason is a knight,\" Riley claimed. Aurora said that If Daniel is a knave then Riley is a knave. So who is a knight and who is a knave?", "names": ["Michael", "Harper", "Mason", "Daniel", "Jack", "Riley", "Aurora"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false, true, true, false], "solution_text": "Michael is a knave, Harper is a knight, Mason is a knight, Daniel is a knave, Jack is a knight, Riley is a knight, and Aurora is a knave.", "solution_text_format": "(1) Michael is a knave\n(2) Harper is a knight\n(3) Mason is a knight\n(4) Daniel is a knave\n(5) Jack is a knight\n(6) Riley is a knight\n(7) Aurora is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Michael is a knight. No contradiction is found in their claim that Riley is a knight and Aurora is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that If Michael is a knight then Mason is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that Michael is a knave or Harper is a knave.", "Harper cannot be a knight, because this would contradict the claim of their own that Michael is not a knight.", "Assume Harper is a knave. No contradiction is found in their false claim that Michael is not a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that If Daniel is a knave then Riley is a knave.", "Daniel cannot be a knight, because this would contradict the claim of their own that Michael is a knight and Harper is a knight.", "Daniel cannot be a knave, because this would contradict the claim of Aurora that If Daniel is a knave then Riley is a knave.", "We have exhausted all possibilities for Daniel, so let us go back and reconsider Aurora.", "Aurora cannot be a knave, because this would contradict the claim of Michael that Riley is a knight and Aurora is a knight.", "We have exhausted all possibilities for Aurora and Harper, so let us go back and reconsider Mason.", "Mason cannot be a knave, because this would contradict the claim of Riley that If Michael is a knight then Mason is a knight.", "We have exhausted all possibilities for Mason, so let us go back and reconsider Riley.", "Riley cannot be a knave, because this would contradict the claim of Michael that Riley is a knight and Aurora is a knight.", "We have exhausted all possibilities for Riley, so let us go back and reconsider Michael.", "Assume Michael is a knave. No contradiction is found in their false claim that Riley is a knight and Aurora is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that If Michael is a knight then Mason is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that Michael is a knave or Harper is a knave.", "Assume Harper is a knight. No contradiction is found in their claim that Michael is not a knight.", "Aurora cannot be a knight, because this would contradict the false claim of Michael that Riley is a knight and Aurora is a knight.", "Assume Aurora is a knave. No contradiction is found in their false claim that If Daniel is a knave then Riley is a knave.", "Daniel cannot be a knight, because this would contradict the claim of their own that Michael is a knight and Harper is a knight.", "Assume Daniel is a knave. No contradiction is found in their false claim that Michael is a knight and Harper is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that Harper is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 5), ('telling-truth', 6)), ('not', ('telling-truth', 0)), ('or', ('lying', 0), ('lying', 1)), ('and', ('telling-truth', 0), ('telling-truth', 1)), ('telling-truth', 1), ('->', ('telling-truth', 0), ('telling-truth', 2)), ('->', ('lying', 3), ('lying', 5)))", "index": 1067}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Ethan, Lucas, Grace, Alexander, Benjamin, Sophia, and Owen. Ethan noted, \"Grace is a knave or Lucas is a knight\". Lucas told you that Benjamin is a knave if and only if Owen is a knight. As Grace put it, \"If Alexander is a knave then Grace is a knight\". Alexander remarked, \"Benjamin is a knave if and only if Lucas is a knight\". Benjamin said that Lucas is a knave if and only if Lucas is a knight. Sophia said, \"Owen is not a knave.\" Owen commented, \"Grace is not a knight\". So who is a knight and who is a knave?", "names": ["Ethan", "Lucas", "Grace", "Alexander", "Benjamin", "Sophia", "Owen"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false, false, false, false], "solution_text": "Ethan is a knave, Lucas is a knave, Grace is a knight, Alexander is a knave, Benjamin is a knave, Sophia is a knave, and Owen is a knave.", "solution_text_format": "(1) Ethan is a knave\n(2) Lucas is a knave\n(3) Grace is a knight\n(4) Alexander is a knave\n(5) Benjamin is a knave\n(6) Sophia is a knave\n(7) Owen is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ethan is a knight. No contradiction is found in their claim that Grace is a knave or Lucas is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that If Alexander is a knave then Grace is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that Benjamin is a knave if and only if Lucas is a knight.", "Benjamin cannot be a knight, because this would contradict the claim of their own that Lucas is a knave if and only if Lucas is a knight.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Lucas is a knave if and only if Lucas is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that Benjamin is a knave if and only if Owen is a knight.", "Owen cannot be a knight, because this would contradict the claim of their own that Grace is not a knight.", "Owen cannot be a knave, because this would contradict the claim of Lucas that Benjamin is a knave if and only if Owen is a knight.", "We have exhausted all possibilities for Owen, so let us go back and reconsider Lucas.", "Lucas cannot be a knave, because this would contradict the claim of Ethan that Grace is a knave or Lucas is a knight.", "We have exhausted all possibilities for Lucas and Benjamin, so let us go back and reconsider Alexander.", "Assume Alexander is a knave. No contradiction is found in their false claim that Benjamin is a knave if and only if Lucas is a knight.", "Benjamin cannot be a knight, because this would contradict the claim of their own that Lucas is a knave if and only if Lucas is a knight.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Lucas is a knave if and only if Lucas is a knight.", "Lucas cannot be a knight, because this would contradict the false claim of Alexander that Benjamin is a knave if and only if Lucas is a knight.", "Lucas cannot be a knave, because this would contradict the claim of Ethan that Grace is a knave or Lucas is a knight.", "We have exhausted all possibilities for Lucas, Benjamin, and Alexander, so let us go back and reconsider Grace.", "Assume Grace is a knave. No contradiction is found in their false claim that If Alexander is a knave then Grace is a knight.", "Alexander cannot be a knight, because this would contradict the false claim of Grace that If Alexander is a knave then Grace is a knight.", "Assume Alexander is a knave. No contradiction is found in their false claim that Benjamin is a knave if and only if Lucas is a knight.", "Benjamin cannot be a knight, because this would contradict the claim of their own that Lucas is a knave if and only if Lucas is a knight.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Lucas is a knave if and only if Lucas is a knight.", "Lucas cannot be a knight, because this would contradict the false claim of Alexander that Benjamin is a knave if and only if Lucas is a knight.", "Assume Lucas is a knave. No contradiction is found in their false claim that Benjamin is a knave if and only if Owen is a knight.", "Owen cannot be a knight, because this would contradict the false claim of Lucas that Benjamin is a knave if and only if Owen is a knight.", "Owen cannot be a knave, because this would contradict the false claim of their own that Grace is not a knight.", "We have exhausted all possibilities for Owen, Lucas, Benjamin, Alexander, and Grace, so let us go back and reconsider Ethan.", "Assume Ethan is a knave. No contradiction is found in their false claim that Grace is a knave or Lucas is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that If Alexander is a knave then Grace is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that Benjamin is a knave if and only if Lucas is a knight.", "Benjamin cannot be a knight, because this would contradict the claim of their own that Lucas is a knave if and only if Lucas is a knight.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Lucas is a knave if and only if Lucas is a knight.", "Lucas cannot be a knight, because this would contradict the false claim of Ethan that Grace is a knave or Lucas is a knight.", "Lucas cannot be a knave, because this would contradict the claim of Alexander that Benjamin is a knave if and only if Lucas is a knight.", "We have exhausted all possibilities for Lucas and Benjamin, so let us go back and reconsider Alexander.", "Assume Alexander is a knave. No contradiction is found in their false claim that Benjamin is a knave if and only if Lucas is a knight.", "Benjamin cannot be a knight, because this would contradict the claim of their own that Lucas is a knave if and only if Lucas is a knight.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Lucas is a knave if and only if Lucas is a knight.", "Lucas cannot be a knight, because this would contradict the false claim of Ethan that Grace is a knave or Lucas is a knight.", "Assume Lucas is a knave. No contradiction is found in their false claim that Benjamin is a knave if and only if Owen is a knight.", "Owen cannot be a knight, because this would contradict the false claim of Lucas that Benjamin is a knave if and only if Owen is a knight.", "Assume Owen is a knave. No contradiction is found in their false claim that Grace is not a knight.", "Sophia cannot be a knight, because this would contradict the claim of their own that Owen is not a knave.", "Assume Sophia is a knave. No contradiction is found in their false claim that Owen is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 2), ('telling-truth', 1)), ('<=>', ('lying', 4), ('telling-truth', 6)), ('->', ('lying', 3), ('telling-truth', 2)), ('<=>', ('lying', 4), ('telling-truth', 1)), ('<=>', ('lying', 1), ('telling-truth', 1)), ('not', ('lying', 6)), ('not', ('telling-truth', 2)))", "index": 1068}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: James, Jack, Oliver, Daniel, Charlotte, Abigail, and Mason. James said that Mason is not a knave. \"Oliver is a knave if and only if Daniel is a knave,\" Jack declared. Oliver asserted: \"If Charlotte is a knave then Abigail is a knight\". Daniel said that James is a knight. Charlotte said that James is a knight if and only if Daniel is a knight. Abigail asserted: \"Oliver is a knave or Daniel is a knight\". Mason commented, \"Mason is a knight if and only if Jack is a knave\". So who is a knight and who is a knave?", "names": ["James", "Jack", "Oliver", "Daniel", "Charlotte", "Abigail", "Mason"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false, true, false, false], "solution_text": "James is a knave, Jack is a knave, Oliver is a knight, Daniel is a knave, Charlotte is a knight, Abigail is a knave, and Mason is a knave.", "solution_text_format": "(1) James is a knave\n(2) Jack is a knave\n(3) Oliver is a knight\n(4) Daniel is a knave\n(5) Charlotte is a knight\n(6) Abigail is a knave\n(7) Mason is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume James is a knight. No contradiction is found in their claim that Mason is not a knave.", "Assume Mason is a knight. No contradiction is found in their claim that Mason is a knight if and only if Jack is a knave.", "Jack cannot be a knight, because this would contradict the claim of Mason that Mason is a knight if and only if Jack is a knave.", "Assume Jack is a knave. No contradiction is found in their false claim that Oliver is a knave if and only if Daniel is a knave.", "Assume Oliver is a knight. No contradiction is found in their claim that If Charlotte is a knave then Abigail is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that James is a knight if and only if Daniel is a knight.", "Daniel cannot be a knight, because this would contradict the false claim of Jack that Oliver is a knave if and only if Daniel is a knave.", "Daniel cannot be a knave, because this would contradict the false claim of their own that James is a knight.", "We have exhausted all possibilities for Daniel, so let us go back and reconsider Charlotte.", "Assume Charlotte is a knave. No contradiction is found in their false claim that James is a knight if and only if Daniel is a knight.", "Daniel cannot be a knight, because this would contradict the false claim of Jack that Oliver is a knave if and only if Daniel is a knave.", "Daniel cannot be a knave, because this would contradict the false claim of their own that James is a knight.", "We have exhausted all possibilities for Daniel and Charlotte, so let us go back and reconsider Oliver.", "Assume Oliver is a knave. No contradiction is found in their false claim that If Charlotte is a knave then Abigail is a knight.", "Charlotte cannot be a knight, because this would contradict the false claim of Oliver that If Charlotte is a knave then Abigail is a knight.", "Assume Charlotte is a knave. No contradiction is found in their false claim that James is a knight if and only if Daniel is a knight.", "Daniel cannot be a knight, because this would contradict the false claim of Charlotte that James is a knight if and only if Daniel is a knight.", "Daniel cannot be a knave, because this would contradict the false claim of Jack that Oliver is a knave if and only if Daniel is a knave.", "We have exhausted all possibilities for Daniel, Charlotte, Oliver, and Jack, so let us go back and reconsider Mason.", "Mason cannot be a knave, because this would contradict the claim of James that Mason is not a knave.", "We have exhausted all possibilities for Mason, so let us go back and reconsider James.", "Assume James is a knave. No contradiction is found in their false claim that Mason is not a knave.", "Mason cannot be a knight, because this would contradict the false claim of James that Mason is not a knave.", "Assume Mason is a knave. No contradiction is found in their false claim that Mason is a knight if and only if Jack is a knave.", "Jack cannot be a knight, because this would contradict the false claim of Mason that Mason is a knight if and only if Jack is a knave.", "Assume Jack is a knave. No contradiction is found in their false claim that Oliver is a knave if and only if Daniel is a knave.", "Assume Oliver is a knight. No contradiction is found in their claim that If Charlotte is a knave then Abigail is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that James is a knight if and only if Daniel is a knight.", "Daniel cannot be a knight, because this would contradict the false claim of Jack that Oliver is a knave if and only if Daniel is a knave.", "Assume Daniel is a knave. No contradiction is found in their false claim that James is a knight.", "Abigail cannot be a knight, because this would contradict the claim of their own that Oliver is a knave or Daniel is a knight.", "Assume Abigail is a knave. No contradiction is found in their false claim that Oliver is a knave or Daniel is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 6)), ('<=>', ('lying', 2), ('lying', 3)), ('->', ('lying', 4), ('telling-truth', 5)), ('telling-truth', 0), ('<=>', ('telling-truth', 0), ('telling-truth', 3)), ('or', ('lying', 2), ('telling-truth', 3)), ('<=>', ('telling-truth', 6), ('lying', 1)))", "index": 1069}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Benjamin, Logan, Liam, Daniel, Aria, Riley, and Emma. In a statement by Benjamin: \"Emma is a knave\". Logan stated, \"Aria is a knight\". \"Emma is a knave,\" Liam declared. Daniel expressed that Emma is not a knave. Aria remarked, \"Emma is not a knave\". Riley commented, \"Aria is a knave\". Emma said, \"Benjamin is a knight and Logan is a knight.\" So who is a knight and who is a knave?", "names": ["Benjamin", "Logan", "Liam", "Daniel", "Aria", "Riley", "Emma"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false, false, true, false], "solution_text": "Benjamin is a knight, Logan is a knave, Liam is a knight, Daniel is a knave, Aria is a knave, Riley is a knight, and Emma is a knave.", "solution_text_format": "(1) Benjamin is a knight\n(2) Logan is a knave\n(3) Liam is a knight\n(4) Daniel is a knave\n(5) Aria is a knave\n(6) Riley is a knight\n(7) Emma is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Benjamin is a knight. No contradiction is found in their claim that Emma is a knave.", "Emma cannot be a knight, because this would contradict the claim of Benjamin that Emma is a knave.", "Assume Emma is a knave. No contradiction is found in their false claim that Benjamin is a knight and Logan is a knight.", "Logan cannot be a knight, because this would contradict the false claim of Emma that Benjamin is a knight and Logan is a knight.", "Assume Logan is a knave. No contradiction is found in their false claim that Aria is a knight.", "Aria cannot be a knight, because this would contradict the false claim of Logan that Aria is a knight.", "Assume Aria is a knave. No contradiction is found in their false claim that Emma is not a knave.", "Assume Liam is a knight. No contradiction is found in their claim that Emma is a knave.", "Daniel cannot be a knight, because this would contradict the claim of their own that Emma is not a knave.", "Assume Daniel is a knave. No contradiction is found in their false claim that Emma is not a knave.", "Assume Riley is a knight. No contradiction is found in their claim that Aria is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 6), ('telling-truth', 4), ('lying', 6), ('not', ('lying', 6)), ('not', ('lying', 6)), ('lying', 4), ('and', ('telling-truth', 0), ('telling-truth', 1)))", "index": 1070}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Lucas, Jacob, Victoria, Luke, Amelia, Mason, and Chloe. Lucas expressed that Victoria is a knight and Mason is a knave. Jacob said that Luke is a knight or Lucas is a knave. Victoria was heard saying, \"Mason is a knave if and only if Amelia is a knight\". In a statement by Luke: \"Jacob is a knave and Chloe is a knight\". Amelia asserted: \"Jacob is a knight\". In a statement by Mason: \"If Amelia is a knave then Victoria is a knave\". Chloe said, \"If Jacob is a knave then Chloe is a knight.\" So who is a knight and who is a knave?", "names": ["Lucas", "Jacob", "Victoria", "Luke", "Amelia", "Mason", "Chloe"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false, true, true, true], "solution_text": "Lucas is a knave, Jacob is a knight, Victoria is a knave, Luke is a knave, Amelia is a knight, Mason is a knight, and Chloe is a knight.", "solution_text_format": "(1) Lucas is a knave\n(2) Jacob is a knight\n(3) Victoria is a knave\n(4) Luke is a knave\n(5) Amelia is a knight\n(6) Mason is a knight\n(7) Chloe is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Lucas is a knight. No contradiction is found in their claim that Victoria is a knight and Mason is a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that Mason is a knave if and only if Amelia is a knight.", "Mason cannot be a knight, because this would contradict the claim of Lucas that Victoria is a knight and Mason is a knave.", "Assume Mason is a knave. No contradiction is found in their false claim that If Amelia is a knave then Victoria is a knave.", "Amelia cannot be a knight, because this would contradict the false claim of Mason that If Amelia is a knave then Victoria is a knave.", "Amelia cannot be a knave, because this would contradict the claim of Victoria that Mason is a knave if and only if Amelia is a knight.", "We have exhausted all possibilities for Amelia and Mason, so let us go back and reconsider Victoria.", "Victoria cannot be a knave, because this would contradict the claim of Lucas that Victoria is a knight and Mason is a knave.", "We have exhausted all possibilities for Victoria, so let us go back and reconsider Lucas.", "Assume Lucas is a knave. No contradiction is found in their false claim that Victoria is a knight and Mason is a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that Mason is a knave if and only if Amelia is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that If Amelia is a knave then Victoria is a knave.", "Amelia cannot be a knight, because this would contradict the claim of Victoria that Mason is a knave if and only if Amelia is a knight.", "Amelia cannot be a knave, because this would contradict the claim of Mason that If Amelia is a knave then Victoria is a knave.", "We have exhausted all possibilities for Amelia, so let us go back and reconsider Mason.", "Mason cannot be a knave, because this would contradict the false claim of Lucas that Victoria is a knight and Mason is a knave.", "We have exhausted all possibilities for Mason, so let us go back and reconsider Victoria.", "Assume Victoria is a knave. No contradiction is found in their false claim that Mason is a knave if and only if Amelia is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that If Amelia is a knave then Victoria is a knave.", "Assume Amelia is a knight. No contradiction is found in their claim that Jacob is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that Luke is a knight or Lucas is a knave.", "Luke cannot be a knight, because this would contradict the claim of their own that Jacob is a knave and Chloe is a knight.", "Assume Luke is a knave. No contradiction is found in their false claim that Jacob is a knave and Chloe is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that If Jacob is a knave then Chloe is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 2), ('lying', 5)), ('or', ('telling-truth', 3), ('lying', 0)), ('<=>', ('lying', 5), ('telling-truth', 4)), ('and', ('lying', 1), ('telling-truth', 6)), ('telling-truth', 1), ('->', ('lying', 4), ('lying', 2)), ('->', ('lying', 1), ('telling-truth', 6)))", "index": 1071}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Jacob, Amelia, Grace, Ella, Zoey, William, and Joseph. In a statement by Jacob: \"If Amelia is a knight then Zoey is a knight\". Amelia told you that Jacob is a knave. In a statement by Grace: \"Ella is not a knave\". Ella stated, \"Joseph is a knave\". According to Zoey, \"Amelia is a knight\". William commented, \"Amelia is a knave\". Joseph was heard saying, \"William is a knight and Jacob is a knight\". So who is a knight and who is a knave?", "names": ["Jacob", "Amelia", "Grace", "Ella", "Zoey", "William", "Joseph"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false, false, true, true], "solution_text": "Jacob is a knight, Amelia is a knave, Grace is a knave, Ella is a knave, Zoey is a knave, William is a knight, and Joseph is a knight.", "solution_text_format": "(1) Jacob is a knight\n(2) Amelia is a knave\n(3) Grace is a knave\n(4) Ella is a knave\n(5) Zoey is a knave\n(6) William is a knight\n(7) Joseph is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jacob is a knight. No contradiction is found in their claim that If Amelia is a knight then Zoey is a knight.", "Amelia cannot be a knight, because this would contradict the claim of their own that Jacob is a knave.", "Assume Amelia is a knave. No contradiction is found in their false claim that Jacob is a knave.", "Zoey cannot be a knight, because this would contradict the claim of their own that Amelia is a knight.", "Assume Zoey is a knave. No contradiction is found in their false claim that Amelia is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that Ella is not a knave.", "Assume Ella is a knight. No contradiction is found in their claim that Joseph is a knave.", "Joseph cannot be a knight, because this would contradict the claim of Ella that Joseph is a knave.", "Assume Joseph is a knave. No contradiction is found in their false claim that William is a knight and Jacob is a knight.", "William cannot be a knight, because this would contradict the false claim of Joseph that William is a knight and Jacob is a knight.", "William cannot be a knave, because this would contradict the false claim of their own that Amelia is a knave.", "We have exhausted all possibilities for William and Joseph, so let us go back and reconsider Ella.", "Ella cannot be a knave, because this would contradict the claim of Grace that Ella is not a knave.", "We have exhausted all possibilities for Ella, so let us go back and reconsider Grace.", "Assume Grace is a knave. No contradiction is found in their false claim that Ella is not a knave.", "Ella cannot be a knight, because this would contradict the false claim of Grace that Ella is not a knave.", "Assume Ella is a knave. No contradiction is found in their false claim that Joseph is a knave.", "Assume Joseph is a knight. No contradiction is found in their claim that William is a knight and Jacob is a knight.", "Assume William is a knight. No contradiction is found in their claim that Amelia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 1), ('telling-truth', 4)), ('lying', 0), ('not', ('lying', 3)), ('lying', 6), ('telling-truth', 1), ('lying', 1), ('and', ('telling-truth', 5), ('telling-truth', 0)))", "index": 1072}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Aurora, Grace, Harper, Amelia, Oliver, Elizabeth, and Emily. As Aurora put it, \"Oliver is a knave or Amelia is a knight\". Grace was heard saying, \"Aurora is not a knave\". In a statement by Harper: \"Emily is a knave or Grace is a knight\". Amelia remarked, \"Aurora is a knave and Harper is a knight\". Oliver said, \"Amelia is a knight and Harper is a knight.\" \"Emily is a knight,\" Elizabeth mentioned. Emily told you that Aurora is a knave. So who is a knight and who is a knave?", "names": ["Aurora", "Grace", "Harper", "Amelia", "Oliver", "Elizabeth", "Emily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false, false, false, false], "solution_text": "Aurora is a knight, Grace is a knight, Harper is a knight, Amelia is a knave, Oliver is a knave, Elizabeth is a knave, and Emily is a knave.", "solution_text_format": "(1) Aurora is a knight\n(2) Grace is a knight\n(3) Harper is a knight\n(4) Amelia is a knave\n(5) Oliver is a knave\n(6) Elizabeth is a knave\n(7) Emily is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aurora is a knight. No contradiction is found in their claim that Oliver is a knave or Amelia is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that Amelia is a knight and Harper is a knight.", "Amelia cannot be a knight, because this would contradict the claim of their own that Aurora is a knave and Harper is a knight.", "Amelia cannot be a knave, because this would contradict the claim of Aurora that Oliver is a knave or Amelia is a knight.", "We have exhausted all possibilities for Amelia, so let us go back and reconsider Oliver.", "Assume Oliver is a knave. No contradiction is found in their false claim that Amelia is a knight and Harper is a knight.", "Amelia cannot be a knight, because this would contradict the claim of their own that Aurora is a knave and Harper is a knight.", "Assume Amelia is a knave. No contradiction is found in their false claim that Aurora is a knave and Harper is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that Emily is a knave or Grace is a knight.", "Emily cannot be a knight, because this would contradict the claim of their own that Aurora is a knave.", "Assume Emily is a knave. No contradiction is found in their false claim that Aurora is a knave.", "Assume Grace is a knight. No contradiction is found in their claim that Aurora is not a knave.", "Elizabeth cannot be a knight, because this would contradict the claim of their own that Emily is a knight.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Emily is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 4), ('telling-truth', 3)), ('not', ('lying', 0)), ('or', ('lying', 6), ('telling-truth', 1)), ('and', ('lying', 0), ('telling-truth', 2)), ('and', ('telling-truth', 3), ('telling-truth', 2)), ('telling-truth', 6), ('lying', 0))", "index": 1073}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Matthew, Jack, Victoria, Samuel, Abigail, Penelope, and Lucas. As Matthew put it, \"Penelope is a knave\". Jack asserted: \"Victoria is a knight\". As Victoria put it, \"Jack is a knight or Lucas is a knight\". In a statement by Samuel: \"Lucas is a knave\". \"Lucas is a knight and Penelope is a knave\" - Abigail. Penelope said that Victoria is not a knave. Lucas noted, \"Abigail is not a knight\". So who is a knight and who is a knave?", "names": ["Matthew", "Jack", "Victoria", "Samuel", "Abigail", "Penelope", "Lucas"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false, false, true, true], "solution_text": "Matthew is a knave, Jack is a knight, Victoria is a knight, Samuel is a knave, Abigail is a knave, Penelope is a knight, and Lucas is a knight.", "solution_text_format": "(1) Matthew is a knave\n(2) Jack is a knight\n(3) Victoria is a knight\n(4) Samuel is a knave\n(5) Abigail is a knave\n(6) Penelope is a knight\n(7) Lucas is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Matthew is a knight. No contradiction is found in their claim that Penelope is a knave.", "Penelope cannot be a knight, because this would contradict the claim of Matthew that Penelope is a knave.", "Assume Penelope is a knave. No contradiction is found in their false claim that Victoria is not a knave.", "Victoria cannot be a knight, because this would contradict the false claim of Penelope that Victoria is not a knave.", "Assume Victoria is a knave. No contradiction is found in their false claim that Jack is a knight or Lucas is a knight.", "Jack cannot be a knight, because this would contradict the claim of their own that Victoria is a knight.", "Assume Jack is a knave. No contradiction is found in their false claim that Victoria is a knight.", "Lucas cannot be a knight, because this would contradict the false claim of Victoria that Jack is a knight or Lucas is a knight.", "Assume Lucas is a knave. No contradiction is found in their false claim that Abigail is not a knight.", "Abigail cannot be a knight, because this would contradict the claim of their own that Lucas is a knight and Penelope is a knave.", "Abigail cannot be a knave, because this would contradict the false claim of Lucas that Abigail is not a knight.", "We have exhausted all possibilities for Abigail, Lucas, Jack, Victoria, and Penelope, so let us go back and reconsider Matthew.", "Assume Matthew is a knave. No contradiction is found in their false claim that Penelope is a knave.", "Assume Penelope is a knight. No contradiction is found in their claim that Victoria is not a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that Jack is a knight or Lucas is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that Victoria is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that Abigail is not a knight.", "Abigail cannot be a knight, because this would contradict the claim of their own that Lucas is a knight and Penelope is a knave.", "Assume Abigail is a knave. No contradiction is found in their false claim that Lucas is a knight and Penelope is a knave.", "Samuel cannot be a knight, because this would contradict the claim of their own that Lucas is a knave.", "Assume Samuel is a knave. No contradiction is found in their false claim that Lucas is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 5), ('telling-truth', 2), ('or', ('telling-truth', 1), ('telling-truth', 6)), ('lying', 6), ('and', ('telling-truth', 6), ('lying', 5)), ('not', ('lying', 2)), ('not', ('telling-truth', 4)))", "index": 1074}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Charlotte, Daniel, Aiden, Emily, Jack, Olivia, and Isabella. Charlotte told you that Daniel is a knight and Emily is a knight. Daniel asserted: \"Olivia is a knight or Olivia is a knave\". Aiden asserted: \"Isabella is a knight if and only if Charlotte is a knave\". \"Olivia is a knight,\" Emily declared. Jack asserted: \"If Daniel is a knight then Emily is a knave\". Olivia said that Jack is a knave and Aiden is a knave. According to Isabella, \"Aiden is not a knight\". So who is a knight and who is a knave?", "names": ["Charlotte", "Daniel", "Aiden", "Emily", "Jack", "Olivia", "Isabella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true, false, true, true], "solution_text": "Charlotte is a knight, Daniel is a knight, Aiden is a knave, Emily is a knight, Jack is a knave, Olivia is a knight, and Isabella is a knight.", "solution_text_format": "(1) Charlotte is a knight\n(2) Daniel is a knight\n(3) Aiden is a knave\n(4) Emily is a knight\n(5) Jack is a knave\n(6) Olivia is a knight\n(7) Isabella is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Charlotte is a knight. No contradiction is found in their claim that Daniel is a knight and Emily is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that Olivia is a knight or Olivia is a knave.", "Assume Olivia is a knight. No contradiction is found in their claim that Jack is a knave and Aiden is a knave.", "Jack cannot be a knight, because this would contradict the claim of Olivia that Jack is a knave and Aiden is a knave.", "Assume Jack is a knave. No contradiction is found in their false claim that If Daniel is a knight then Emily is a knave.", "Assume Emily is a knight. No contradiction is found in their claim that Olivia is a knight.", "Aiden cannot be a knight, because this would contradict the claim of Olivia that Jack is a knave and Aiden is a knave.", "Assume Aiden is a knave. No contradiction is found in their false claim that Isabella is a knight if and only if Charlotte is a knave.", "Assume Isabella is a knight. No contradiction is found in their claim that Aiden is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('telling-truth', 3)), ('or', ('telling-truth', 5), ('lying', 5)), ('<=>', ('telling-truth', 6), ('lying', 0)), ('telling-truth', 5), ('->', ('telling-truth', 1), ('lying', 3)), ('and', ('lying', 4), ('lying', 2)), ('not', ('telling-truth', 2)))", "index": 1075}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Samuel, Chloe, Amelia, Avery, Riley, Liam, and Sebastian. Samuel remarked, \"Chloe is not a knave\". Chloe stated, \"Samuel is a knight or Amelia is a knight\". Amelia asserted: \"Sebastian is not a knave\". Avery was heard saying, \"Samuel is a knight\". Riley told you that Samuel is not a knave. \"If Samuel is a knight then Riley is a knave\" - Liam. Sebastian said, \"Liam is a knight or Riley is a knight.\" So who is a knight and who is a knave?", "names": ["Samuel", "Chloe", "Amelia", "Avery", "Riley", "Liam", "Sebastian"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, true, false, true], "solution_text": "Samuel is a knight, Chloe is a knight, Amelia is a knight, Avery is a knight, Riley is a knight, Liam is a knave, and Sebastian is a knight.", "solution_text_format": "(1) Samuel is a knight\n(2) Chloe is a knight\n(3) Amelia is a knight\n(4) Avery is a knight\n(5) Riley is a knight\n(6) Liam is a knave\n(7) Sebastian is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Samuel is a knight. No contradiction is found in their claim that Chloe is not a knave.", "Assume Chloe is a knight. No contradiction is found in their claim that Samuel is a knight or Amelia is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that Sebastian is not a knave.", "Assume Sebastian is a knight. No contradiction is found in their claim that Liam is a knight or Riley is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that If Samuel is a knight then Riley is a knave.", "Riley cannot be a knight, because this would contradict the claim of Liam that If Samuel is a knight then Riley is a knave.", "Riley cannot be a knave, because this would contradict the false claim of their own that Samuel is not a knave.", "We have exhausted all possibilities for Riley, so let us go back and reconsider Liam.", "Assume Liam is a knave. No contradiction is found in their false claim that If Samuel is a knight then Riley is a knave.", "Assume Riley is a knight. No contradiction is found in their claim that Samuel is not a knave.", "Assume Avery is a knight. No contradiction is found in their claim that Samuel is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 1)), ('or', ('telling-truth', 0), ('telling-truth', 2)), ('not', ('lying', 6)), ('telling-truth', 0), ('not', ('lying', 0)), ('->', ('telling-truth', 0), ('lying', 4)), ('or', ('telling-truth', 5), ('telling-truth', 4)))", "index": 1076}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Isabella, Alexander, Sofia, Zoey, Ethan, Henry, and Liam. In a statement by Isabella: \"Sofia is not a knight\". \"Liam is a knave\" - Alexander. In Sofia's words: \"Ethan is a knave or Isabella is a knave\". \"Liam is a knight and Ethan is a knave\" - Zoey. Ethan said, \"Liam is a knave or Liam is a knight.\" As Henry put it, \"If Henry is a knight then Sofia is a knight\". Liam told you that If Ethan is a knave then Sofia is a knight. So who is a knight and who is a knave?", "names": ["Isabella", "Alexander", "Sofia", "Zoey", "Ethan", "Henry", "Liam"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false, true, true, true], "solution_text": "Isabella is a knave, Alexander is a knave, Sofia is a knight, Zoey is a knave, Ethan is a knight, Henry is a knight, and Liam is a knight.", "solution_text_format": "(1) Isabella is a knave\n(2) Alexander is a knave\n(3) Sofia is a knight\n(4) Zoey is a knave\n(5) Ethan is a knight\n(6) Henry is a knight\n(7) Liam is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Isabella is a knight. No contradiction is found in their claim that Sofia is not a knight.", "Sofia cannot be a knight, because this would contradict the claim of Isabella that Sofia is not a knight.", "Assume Sofia is a knave. No contradiction is found in their false claim that Ethan is a knave or Isabella is a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that Liam is a knave or Liam is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that If Ethan is a knave then Sofia is a knight.", "Alexander cannot be a knight, because this would contradict the claim of their own that Liam is a knave.", "Assume Alexander is a knave. No contradiction is found in their false claim that Liam is a knave.", "Zoey cannot be a knight, because this would contradict the claim of their own that Liam is a knight and Ethan is a knave.", "Assume Zoey is a knave. No contradiction is found in their false claim that Liam is a knight and Ethan is a knave.", "Henry cannot be a knight, because this would contradict the claim of their own that If Henry is a knight then Sofia is a knight.", "Henry cannot be a knave, because this would contradict the false claim of their own that If Henry is a knight then Sofia is a knight.", "We have exhausted all possibilities for Henry, Zoey, and Alexander, so let us go back and reconsider Liam.", "Liam cannot be a knave, because this would contradict the false claim of their own that If Ethan is a knave then Sofia is a knight.", "We have exhausted all possibilities for Liam, so let us go back and reconsider Ethan.", "Ethan cannot be a knave, because this would contradict the false claim of Sofia that Ethan is a knave or Isabella is a knave.", "We have exhausted all possibilities for Ethan and Sofia, so let us go back and reconsider Isabella.", "Assume Isabella is a knave. No contradiction is found in their false claim that Sofia is not a knight.", "Assume Sofia is a knight. No contradiction is found in their claim that Ethan is a knave or Isabella is a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that Liam is a knave or Liam is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that If Ethan is a knave then Sofia is a knight.", "Alexander cannot be a knight, because this would contradict the claim of their own that Liam is a knave.", "Assume Alexander is a knave. No contradiction is found in their false claim that Liam is a knave.", "Zoey cannot be a knight, because this would contradict the claim of their own that Liam is a knight and Ethan is a knave.", "Assume Zoey is a knave. No contradiction is found in their false claim that Liam is a knight and Ethan is a knave.", "Assume Henry is a knight. No contradiction is found in their claim that If Henry is a knight then Sofia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 2)), ('lying', 6), ('or', ('lying', 4), ('lying', 0)), ('and', ('telling-truth', 6), ('lying', 4)), ('or', ('lying', 6), ('telling-truth', 6)), ('->', ('telling-truth', 5), ('telling-truth', 2)), ('->', ('lying', 4), ('telling-truth', 2)))", "index": 1077}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Joseph, Emily, Ava, Jack, Abigail, Benjamin, and Matthew. Joseph commented, \"Matthew is a knight if and only if Abigail is a knight\". \"Abigail is a knave and Ava is a knight\" - Emily. Ava expressed that Jack is a knight and Emily is a knight. Jack asserted: \"Abigail is a knight and Matthew is a knight\". \"Matthew is a knight\" - Abigail. Benjamin told you that Abigail is a knave or Benjamin is a knight. Matthew noted, \"Jack is a knight if and only if Benjamin is a knave\". So who is a knight and who is a knave?", "names": ["Joseph", "Emily", "Ava", "Jack", "Abigail", "Benjamin", "Matthew"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, true, false, true], "solution_text": "Joseph is a knight, Emily is a knave, Ava is a knave, Jack is a knight, Abigail is a knight, Benjamin is a knave, and Matthew is a knight.", "solution_text_format": "(1) Joseph is a knight\n(2) Emily is a knave\n(3) Ava is a knave\n(4) Jack is a knight\n(5) Abigail is a knight\n(6) Benjamin is a knave\n(7) Matthew is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Joseph is a knight. No contradiction is found in their claim that Matthew is a knight if and only if Abigail is a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that Jack is a knight if and only if Benjamin is a knave.", "Assume Jack is a knight. No contradiction is found in their claim that Abigail is a knight and Matthew is a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that Matthew is a knight.", "Benjamin cannot be a knight, because this would contradict the claim of Matthew that Jack is a knight if and only if Benjamin is a knave.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Abigail is a knave or Benjamin is a knight.", "Emily cannot be a knight, because this would contradict the claim of their own that Abigail is a knave and Ava is a knight.", "Assume Emily is a knave. No contradiction is found in their false claim that Abigail is a knave and Ava is a knight.", "Ava cannot be a knight, because this would contradict the claim of their own that Jack is a knight and Emily is a knight.", "Assume Ava is a knave. No contradiction is found in their false claim that Jack is a knight and Emily is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 6), ('telling-truth', 4)), ('and', ('lying', 4), ('telling-truth', 2)), ('and', ('telling-truth', 3), ('telling-truth', 1)), ('and', ('telling-truth', 4), ('telling-truth', 6)), ('telling-truth', 6), ('or', ('lying', 4), ('telling-truth', 5)), ('<=>', ('telling-truth', 3), ('lying', 5)))", "index": 1078}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: James, Lucas, Daniel, Sofia, Noah, Alexander, and Henry. James noted, \"If Daniel is a knight then Alexander is a knave\". According to Lucas, \"James is a knave if and only if Noah is a knave\". Daniel told you that Lucas is not a knight. Sofia said that Daniel is a knight and Henry is a knight. In Noah's words: \"James is not a knave\". Alexander remarked, \"If Henry is a knight then Daniel is a knave\". Henry asserted: \"Noah is a knave\". So who is a knight and who is a knave?", "names": ["James", "Lucas", "Daniel", "Sofia", "Noah", "Alexander", "Henry"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false, true, true, false], "solution_text": "James is a knight, Lucas is a knight, Daniel is a knave, Sofia is a knave, Noah is a knight, Alexander is a knight, and Henry is a knave.", "solution_text_format": "(1) James is a knight\n(2) Lucas is a knight\n(3) Daniel is a knave\n(4) Sofia is a knave\n(5) Noah is a knight\n(6) Alexander is a knight\n(7) Henry is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume James is a knight. No contradiction is found in their claim that If Daniel is a knight then Alexander is a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that Lucas is not a knight.", "Lucas cannot be a knight, because this would contradict the claim of Daniel that Lucas is not a knight.", "Assume Lucas is a knave. No contradiction is found in their false claim that James is a knave if and only if Noah is a knave.", "Noah cannot be a knight, because this would contradict the false claim of Lucas that James is a knave if and only if Noah is a knave.", "Noah cannot be a knave, because this would contradict the false claim of their own that James is not a knave.", "We have exhausted all possibilities for Noah and Lucas, so let us go back and reconsider Daniel.", "Assume Daniel is a knave. No contradiction is found in their false claim that Lucas is not a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that James is a knave if and only if Noah is a knave.", "Assume Noah is a knight. No contradiction is found in their claim that James is not a knave.", "Assume Alexander is a knight. No contradiction is found in their claim that If Henry is a knight then Daniel is a knave.", "Henry cannot be a knight, because this would contradict the claim of their own that Noah is a knave.", "Assume Henry is a knave. No contradiction is found in their false claim that Noah is a knave.", "Sofia cannot be a knight, because this would contradict the claim of their own that Daniel is a knight and Henry is a knight.", "Assume Sofia is a knave. No contradiction is found in their false claim that Daniel is a knight and Henry is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 2), ('lying', 5)), ('<=>', ('lying', 0), ('lying', 4)), ('not', ('telling-truth', 1)), ('and', ('telling-truth', 2), ('telling-truth', 6)), ('not', ('lying', 0)), ('->', ('telling-truth', 6), ('lying', 2)), ('lying', 4))", "index": 1079}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Sophia, Aria, Zoey, Elizabeth, Matthew, David, and Benjamin. Sophia commented, \"Sophia is a knight and Benjamin is a knave\". Aria said that David is a knave and Sophia is a knight. \"Sophia is not a knave\" - Zoey. Elizabeth asserted: \"Matthew is a knight\". Matthew expressed that David is a knight. As David put it, \"David is a knight or Elizabeth is a knave\". Benjamin remarked, \"If Sophia is a knight then Zoey is a knight\". So who is a knight and who is a knave?", "names": ["Sophia", "Aria", "Zoey", "Elizabeth", "Matthew", "David", "Benjamin"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true, true, true, true], "solution_text": "Sophia is a knave, Aria is a knave, Zoey is a knave, Elizabeth is a knight, Matthew is a knight, David is a knight, and Benjamin is a knight.", "solution_text_format": "(1) Sophia is a knave\n(2) Aria is a knave\n(3) Zoey is a knave\n(4) Elizabeth is a knight\n(5) Matthew is a knight\n(6) David is a knight\n(7) Benjamin is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sophia is a knight. No contradiction is found in their claim that Sophia is a knight and Benjamin is a knave.", "Benjamin cannot be a knight, because this would contradict the claim of Sophia that Sophia is a knight and Benjamin is a knave.", "Assume Benjamin is a knave. No contradiction is found in their false claim that If Sophia is a knight then Zoey is a knight.", "Zoey cannot be a knight, because this would contradict the false claim of Benjamin that If Sophia is a knight then Zoey is a knight.", "Zoey cannot be a knave, because this would contradict the false claim of their own that Sophia is not a knave.", "We have exhausted all possibilities for Zoey and Benjamin, so let us go back and reconsider Sophia.", "Assume Sophia is a knave. No contradiction is found in their false claim that Sophia is a knight and Benjamin is a knave.", "Assume Benjamin is a knight. No contradiction is found in their claim that If Sophia is a knight then Zoey is a knight.", "Zoey cannot be a knight, because this would contradict the claim of their own that Sophia is not a knave.", "Assume Zoey is a knave. No contradiction is found in their false claim that Sophia is not a knave.", "Aria cannot be a knight, because this would contradict the claim of their own that David is a knave and Sophia is a knight.", "Assume Aria is a knave. No contradiction is found in their false claim that David is a knave and Sophia is a knight.", "Assume David is a knight. No contradiction is found in their claim that David is a knight or Elizabeth is a knave.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Matthew is a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that David is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 0), ('lying', 6)), ('and', ('lying', 5), ('telling-truth', 0)), ('not', ('lying', 0)), ('telling-truth', 4), ('telling-truth', 5), ('or', ('telling-truth', 5), ('lying', 3)), ('->', ('telling-truth', 0), ('telling-truth', 2)))", "index": 1080}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Abigail, Matthew, Liam, Jackson, David, Chloe, and Jacob. Abigail was heard saying, \"Chloe is a knave\". According to Matthew, \"Jackson is not a knave\". In a statement by Liam: \"Jackson is a knave or Jacob is a knave\". \"Liam is a knight if and only if Chloe is a knight,\" Jackson declared. David said that Jackson is not a knave. Chloe asserted: \"Jackson is a knight\". Jacob was heard saying, \"If Jacob is a knight then David is a knave\". So who is a knight and who is a knave?", "names": ["Abigail", "Matthew", "Liam", "Jackson", "David", "Chloe", "Jacob"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false, false, false, true], "solution_text": "Abigail is a knight, Matthew is a knave, Liam is a knight, Jackson is a knave, David is a knave, Chloe is a knave, and Jacob is a knight.", "solution_text_format": "(1) Abigail is a knight\n(2) Matthew is a knave\n(3) Liam is a knight\n(4) Jackson is a knave\n(5) David is a knave\n(6) Chloe is a knave\n(7) Jacob is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Abigail is a knight. No contradiction is found in their claim that Chloe is a knave.", "Chloe cannot be a knight, because this would contradict the claim of Abigail that Chloe is a knave.", "Assume Chloe is a knave. No contradiction is found in their false claim that Jackson is a knight.", "Jackson cannot be a knight, because this would contradict the false claim of Chloe that Jackson is a knight.", "Assume Jackson is a knave. No contradiction is found in their false claim that Liam is a knight if and only if Chloe is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that Jackson is a knave or Jacob is a knave.", "Assume Jacob is a knight. No contradiction is found in their claim that If Jacob is a knight then David is a knave.", "David cannot be a knight, because this would contradict the claim of their own that Jackson is not a knave.", "Assume David is a knave. No contradiction is found in their false claim that Jackson is not a knave.", "Matthew cannot be a knight, because this would contradict the claim of their own that Jackson is not a knave.", "Assume Matthew is a knave. No contradiction is found in their false claim that Jackson is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 5), ('not', ('lying', 3)), ('or', ('lying', 3), ('lying', 6)), ('<=>', ('telling-truth', 2), ('telling-truth', 5)), ('not', ('lying', 3)), ('telling-truth', 3), ('->', ('telling-truth', 6), ('lying', 4)))", "index": 1081}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Mason, Abigail, James, Elizabeth, Jacob, Chloe, and Riley. Mason told you that If Jacob is a knight then Elizabeth is a knave. Abigail expressed that Jacob is a knave and Mason is a knight. \"Abigail is not a knave,\" James claimed. According to Elizabeth, \"Mason is a knight\". Jacob commented, \"Mason is a knight if and only if Abigail is a knave\". Chloe asserted: \"James is a knave or Abigail is a knight\". Riley commented, \"Mason is a knight or Riley is a knight\". So who is a knight and who is a knave?", "names": ["Mason", "Abigail", "James", "Elizabeth", "Jacob", "Chloe", "Riley"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, false, true, true], "solution_text": "Mason is a knight, Abigail is a knight, James is a knight, Elizabeth is a knight, Jacob is a knave, Chloe is a knight, and Riley is a knight.", "solution_text_format": "(1) Mason is a knight\n(2) Abigail is a knight\n(3) James is a knight\n(4) Elizabeth is a knight\n(5) Jacob is a knave\n(6) Chloe is a knight\n(7) Riley is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Mason is a knight. No contradiction is found in their claim that If Jacob is a knight then Elizabeth is a knave.", "Assume Jacob is a knight. No contradiction is found in their claim that Mason is a knight if and only if Abigail is a knave.", "Abigail cannot be a knight, because this would contradict the claim of their own that Jacob is a knave and Mason is a knight.", "Assume Abigail is a knave. No contradiction is found in their false claim that Jacob is a knave and Mason is a knight.", "Elizabeth cannot be a knight, because this would contradict the claim of Mason that If Jacob is a knight then Elizabeth is a knave.", "Elizabeth cannot be a knave, because this would contradict the false claim of their own that Mason is a knight.", "We have exhausted all possibilities for Elizabeth and Abigail, so let us go back and reconsider Jacob.", "Assume Jacob is a knave. No contradiction is found in their false claim that Mason is a knight if and only if Abigail is a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that Jacob is a knave and Mason is a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Mason is a knight.", "Assume James is a knight. No contradiction is found in their claim that Abigail is not a knave.", "Assume Chloe is a knight. No contradiction is found in their claim that James is a knave or Abigail is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that Mason is a knight or Riley is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 4), ('lying', 3)), ('and', ('lying', 4), ('telling-truth', 0)), ('not', ('lying', 1)), ('telling-truth', 0), ('<=>', ('telling-truth', 0), ('lying', 1)), ('or', ('lying', 2), ('telling-truth', 1)), ('or', ('telling-truth', 0), ('telling-truth', 6)))", "index": 1082}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Charlotte, Elizabeth, William, Mason, Samuel, Luke, and Mia. In Charlotte's words: \"Mia is a knight and Luke is a knave\". \"William is a knave or William is a knight\" - Elizabeth. William asserted: \"Luke is a knight and Elizabeth is a knight\". In a statement by Mason: \"Charlotte is not a knight\". Samuel told you that Charlotte is not a knave. Luke said, \"If Charlotte is a knave then Mia is a knight.\" Mia stated, \"Samuel is a knight and Elizabeth is a knight\". So who is a knight and who is a knave?", "names": ["Charlotte", "Elizabeth", "William", "Mason", "Samuel", "Luke", "Mia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true, false, false, false], "solution_text": "Charlotte is a knave, Elizabeth is a knight, William is a knave, Mason is a knight, Samuel is a knave, Luke is a knave, and Mia is a knave.", "solution_text_format": "(1) Charlotte is a knave\n(2) Elizabeth is a knight\n(3) William is a knave\n(4) Mason is a knight\n(5) Samuel is a knave\n(6) Luke is a knave\n(7) Mia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Charlotte is a knight. No contradiction is found in their claim that Mia is a knight and Luke is a knave.", "Assume Mia is a knight. No contradiction is found in their claim that Samuel is a knight and Elizabeth is a knight.", "Assume Samuel is a knight. No contradiction is found in their claim that Charlotte is not a knave.", "Assume Elizabeth is a knight. No contradiction is found in their claim that William is a knave or William is a knight.", "Assume William is a knight. No contradiction is found in their claim that Luke is a knight and Elizabeth is a knight.", "Luke cannot be a knight, because this would contradict the claim of Charlotte that Mia is a knight and Luke is a knave.", "Luke cannot be a knave, because this would contradict the claim of William that Luke is a knight and Elizabeth is a knight.", "We have exhausted all possibilities for Luke, so let us go back and reconsider William.", "Assume William is a knave. No contradiction is found in their false claim that Luke is a knight and Elizabeth is a knight.", "Luke cannot be a knight, because this would contradict the claim of Charlotte that Mia is a knight and Luke is a knave.", "Luke cannot be a knave, because this would contradict the false claim of their own that If Charlotte is a knave then Mia is a knight.", "We have exhausted all possibilities for Luke and William, so let us go back and reconsider Elizabeth.", "Elizabeth cannot be a knave, because this would contradict the false claim of their own that William is a knave or William is a knight.", "We have exhausted all possibilities for Elizabeth, so let us go back and reconsider Samuel.", "Samuel cannot be a knave, because this would contradict the false claim of their own that Charlotte is not a knave.", "We have exhausted all possibilities for Samuel, so let us go back and reconsider Mia.", "Mia cannot be a knave, because this would contradict the claim of Charlotte that Mia is a knight and Luke is a knave.", "We have exhausted all possibilities for Mia, so let us go back and reconsider Charlotte.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Mia is a knight and Luke is a knave.", "Assume Mia is a knight. No contradiction is found in their claim that Samuel is a knight and Elizabeth is a knight.", "Samuel cannot be a knight, because this would contradict the claim of their own that Charlotte is not a knave.", "Samuel cannot be a knave, because this would contradict the claim of Mia that Samuel is a knight and Elizabeth is a knight.", "We have exhausted all possibilities for Samuel, so let us go back and reconsider Mia.", "Assume Mia is a knave. No contradiction is found in their false claim that Samuel is a knight and Elizabeth is a knight.", "Samuel cannot be a knight, because this would contradict the claim of their own that Charlotte is not a knave.", "Assume Samuel is a knave. No contradiction is found in their false claim that Charlotte is not a knave.", "Assume Elizabeth is a knight. No contradiction is found in their claim that William is a knave or William is a knight.", "Assume William is a knight. No contradiction is found in their claim that Luke is a knight and Elizabeth is a knight.", "Luke cannot be a knight, because this would contradict the claim of their own that If Charlotte is a knave then Mia is a knight.", "Luke cannot be a knave, because this would contradict the claim of William that Luke is a knight and Elizabeth is a knight.", "We have exhausted all possibilities for Luke, so let us go back and reconsider William.", "Assume William is a knave. No contradiction is found in their false claim that Luke is a knight and Elizabeth is a knight.", "Luke cannot be a knight, because this would contradict the false claim of William that Luke is a knight and Elizabeth is a knight.", "Assume Luke is a knave. No contradiction is found in their false claim that If Charlotte is a knave then Mia is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that Charlotte is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 6), ('lying', 5)), ('or', ('lying', 2), ('telling-truth', 2)), ('and', ('telling-truth', 5), ('telling-truth', 1)), ('not', ('telling-truth', 0)), ('not', ('lying', 0)), ('->', ('lying', 0), ('telling-truth', 6)), ('and', ('telling-truth', 4), ('telling-truth', 1)))", "index": 1083}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Liam, Jacob, Grace, Sebastian, Henry, Daniel, and Owen. Liam asserted: \"Henry is a knight or Henry is a knave\". Jacob expressed that Henry is a knight and Sebastian is a knight. Grace was heard saying, \"Owen is a knave if and only if Jacob is a knave\". \"Owen is a knave,\" Sebastian mentioned. Henry commented, \"If Jacob is a knight then Liam is a knight\". \"Henry is a knave\" - Daniel. In Owen's words: \"Grace is a knight\". So who is a knight and who is a knave?", "names": ["Liam", "Jacob", "Grace", "Sebastian", "Henry", "Daniel", "Owen"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true, true, false, false], "solution_text": "Liam is a knight, Jacob is a knight, Grace is a knave, Sebastian is a knight, Henry is a knight, Daniel is a knave, and Owen is a knave.", "solution_text_format": "(1) Liam is a knight\n(2) Jacob is a knight\n(3) Grace is a knave\n(4) Sebastian is a knight\n(5) Henry is a knight\n(6) Daniel is a knave\n(7) Owen is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Liam is a knight. No contradiction is found in their claim that Henry is a knight or Henry is a knave.", "Assume Henry is a knight. No contradiction is found in their claim that If Jacob is a knight then Liam is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that Henry is a knight and Sebastian is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Owen is a knave.", "Owen cannot be a knight, because this would contradict the claim of Sebastian that Owen is a knave.", "Assume Owen is a knave. No contradiction is found in their false claim that Grace is a knight.", "Grace cannot be a knight, because this would contradict the claim of their own that Owen is a knave if and only if Jacob is a knave.", "Assume Grace is a knave. No contradiction is found in their false claim that Owen is a knave if and only if Jacob is a knave.", "Daniel cannot be a knight, because this would contradict the claim of their own that Henry is a knave.", "Assume Daniel is a knave. No contradiction is found in their false claim that Henry is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 4), ('lying', 4)), ('and', ('telling-truth', 4), ('telling-truth', 3)), ('<=>', ('lying', 6), ('lying', 1)), ('lying', 6), ('->', ('telling-truth', 1), ('telling-truth', 0)), ('lying', 4), ('telling-truth', 2))", "index": 1084}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Sofia, Matthew, Zoey, Ava, Riley, Joseph, and Chloe. Sofia remarked, \"Joseph is not a knight\". \"Joseph is not a knave,\" Matthew declared. \"If Joseph is a knight then Matthew is a knave,\" Zoey mentioned. Ava was heard saying, \"If Joseph is a knight then Joseph is a knave\". Riley told you that If Sofia is a knight then Joseph is a knave. According to Joseph, \"Chloe is a knave if and only if Riley is a knave\". Chloe said that Joseph is a knave if and only if Joseph is a knight. So who is a knight and who is a knave?", "names": ["Sofia", "Matthew", "Zoey", "Ava", "Riley", "Joseph", "Chloe"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, true, false, false], "solution_text": "Sofia is a knight, Matthew is a knave, Zoey is a knight, Ava is a knight, Riley is a knight, Joseph is a knave, and Chloe is a knave.", "solution_text_format": "(1) Sofia is a knight\n(2) Matthew is a knave\n(3) Zoey is a knight\n(4) Ava is a knight\n(5) Riley is a knight\n(6) Joseph is a knave\n(7) Chloe is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sofia is a knight. No contradiction is found in their claim that Joseph is not a knight.", "Joseph cannot be a knight, because this would contradict the claim of Sofia that Joseph is not a knight.", "Assume Joseph is a knave. No contradiction is found in their false claim that Chloe is a knave if and only if Riley is a knave.", "Chloe cannot be a knight, because this would contradict the claim of their own that Joseph is a knave if and only if Joseph is a knight.", "Assume Chloe is a knave. No contradiction is found in their false claim that Joseph is a knave if and only if Joseph is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that If Sofia is a knight then Joseph is a knave.", "Matthew cannot be a knight, because this would contradict the claim of their own that Joseph is not a knave.", "Assume Matthew is a knave. No contradiction is found in their false claim that Joseph is not a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that If Joseph is a knight then Matthew is a knave.", "Assume Ava is a knight. No contradiction is found in their claim that If Joseph is a knight then Joseph is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 5)), ('not', ('lying', 5)), ('->', ('telling-truth', 5), ('lying', 1)), ('->', ('telling-truth', 5), ('lying', 5)), ('->', ('telling-truth', 0), ('lying', 5)), ('<=>', ('lying', 6), ('lying', 4)), ('<=>', ('lying', 5), ('telling-truth', 5)))", "index": 1085}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Zoey, Daniel, Luke, Logan, Owen, Emma, and Jackson. In a statement by Zoey: \"Luke is a knave\". In a statement by Daniel: \"Daniel is a knight if and only if Owen is a knave\". According to Luke, \"Daniel is a knight or Luke is a knight\". Logan noted, \"Jackson is a knave or Daniel is a knave\". As Owen put it, \"Emma is a knight and Logan is a knight\". Emma told you that If Logan is a knight then Jackson is a knave. According to Jackson, \"Logan is a knave\". So who is a knight and who is a knave?", "names": ["Zoey", "Daniel", "Luke", "Logan", "Owen", "Emma", "Jackson"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false, false, true, true], "solution_text": "Zoey is a knave, Daniel is a knight, Luke is a knight, Logan is a knave, Owen is a knave, Emma is a knight, and Jackson is a knight.", "solution_text_format": "(1) Zoey is a knave\n(2) Daniel is a knight\n(3) Luke is a knight\n(4) Logan is a knave\n(5) Owen is a knave\n(6) Emma is a knight\n(7) Jackson is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Zoey is a knight. No contradiction is found in their claim that Luke is a knave.", "Luke cannot be a knight, because this would contradict the claim of Zoey that Luke is a knave.", "Assume Luke is a knave. No contradiction is found in their false claim that Daniel is a knight or Luke is a knight.", "Daniel cannot be a knight, because this would contradict the false claim of Luke that Daniel is a knight or Luke is a knight.", "Assume Daniel is a knave. No contradiction is found in their false claim that Daniel is a knight if and only if Owen is a knave.", "Owen cannot be a knight, because this would contradict the false claim of Daniel that Daniel is a knight if and only if Owen is a knave.", "Assume Owen is a knave. No contradiction is found in their false claim that Emma is a knight and Logan is a knight.", "Assume Emma is a knight. No contradiction is found in their claim that If Logan is a knight then Jackson is a knave.", "Logan cannot be a knight, because this would contradict the false claim of Owen that Emma is a knight and Logan is a knight.", "Logan cannot be a knave, because this would contradict the false claim of their own that Jackson is a knave or Daniel is a knave.", "We have exhausted all possibilities for Logan, so let us go back and reconsider Emma.", "Assume Emma is a knave. No contradiction is found in their false claim that If Logan is a knight then Jackson is a knave.", "Assume Logan is a knight. No contradiction is found in their claim that Jackson is a knave or Daniel is a knave.", "Jackson cannot be a knight, because this would contradict the claim of their own that Logan is a knave.", "Jackson cannot be a knave, because this would contradict the false claim of Emma that If Logan is a knight then Jackson is a knave.", "We have exhausted all possibilities for Jackson, so let us go back and reconsider Logan.", "Logan cannot be a knave, because this would contradict the false claim of their own that Jackson is a knave or Daniel is a knave.", "We have exhausted all possibilities for Logan, Emma, Owen, Daniel, and Luke, so let us go back and reconsider Zoey.", "Assume Zoey is a knave. No contradiction is found in their false claim that Luke is a knave.", "Assume Luke is a knight. No contradiction is found in their claim that Daniel is a knight or Luke is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that Daniel is a knight if and only if Owen is a knave.", "Owen cannot be a knight, because this would contradict the claim of Daniel that Daniel is a knight if and only if Owen is a knave.", "Assume Owen is a knave. No contradiction is found in their false claim that Emma is a knight and Logan is a knight.", "Assume Emma is a knight. No contradiction is found in their claim that If Logan is a knight then Jackson is a knave.", "Logan cannot be a knight, because this would contradict the false claim of Owen that Emma is a knight and Logan is a knight.", "Assume Logan is a knave. No contradiction is found in their false claim that Jackson is a knave or Daniel is a knave.", "Assume Jackson is a knight. No contradiction is found in their claim that Logan is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 2), ('<=>', ('telling-truth', 1), ('lying', 4)), ('or', ('telling-truth', 1), ('telling-truth', 2)), ('or', ('lying', 6), ('lying', 1)), ('and', ('telling-truth', 5), ('telling-truth', 3)), ('->', ('telling-truth', 3), ('lying', 6)), ('lying', 3))", "index": 1086}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Sebastian, Amelia, Sofia, Jack, Daniel, Emma, and Evelyn. Sebastian told you that Daniel is a knight if and only if Jack is a knight. Amelia said, \"Daniel is a knave.\" Sofia expressed that Emma is a knight or Emma is a knave. According to Jack, \"Emma is a knight if and only if Sofia is a knave\". \"If Evelyn is a knight then Jack is a knave,\" Daniel mentioned. Emma remarked, \"Amelia is a knave or Daniel is a knight\". Evelyn asserted: \"Jack is a knight and Emma is a knight\". So who is a knight and who is a knave?", "names": ["Sebastian", "Amelia", "Sofia", "Jack", "Daniel", "Emma", "Evelyn"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false, true, true, false], "solution_text": "Sebastian is a knave, Amelia is a knave, Sofia is a knight, Jack is a knave, Daniel is a knight, Emma is a knight, and Evelyn is a knave.", "solution_text_format": "(1) Sebastian is a knave\n(2) Amelia is a knave\n(3) Sofia is a knight\n(4) Jack is a knave\n(5) Daniel is a knight\n(6) Emma is a knight\n(7) Evelyn is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sebastian is a knight. No contradiction is found in their claim that Daniel is a knight if and only if Jack is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that If Evelyn is a knight then Jack is a knave.", "Assume Evelyn is a knight. No contradiction is found in their claim that Jack is a knight and Emma is a knight.", "Jack cannot be a knight, because this would contradict the claim of Daniel that If Evelyn is a knight then Jack is a knave.", "Jack cannot be a knave, because this would contradict the claim of Sebastian that Daniel is a knight if and only if Jack is a knight.", "We have exhausted all possibilities for Jack, so let us go back and reconsider Evelyn.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Jack is a knight and Emma is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that Emma is a knight if and only if Sofia is a knave.", "Emma cannot be a knight, because this would contradict the false claim of Evelyn that Jack is a knight and Emma is a knight.", "Emma cannot be a knave, because this would contradict the false claim of their own that Amelia is a knave or Daniel is a knight.", "We have exhausted all possibilities for Emma, so let us go back and reconsider Jack.", "Jack cannot be a knave, because this would contradict the claim of Sebastian that Daniel is a knight if and only if Jack is a knight.", "We have exhausted all possibilities for Jack and Evelyn, so let us go back and reconsider Daniel.", "Assume Daniel is a knave. No contradiction is found in their false claim that If Evelyn is a knight then Jack is a knave.", "Assume Evelyn is a knight. No contradiction is found in their claim that Jack is a knight and Emma is a knight.", "Jack cannot be a knight, because this would contradict the claim of Sebastian that Daniel is a knight if and only if Jack is a knight.", "Jack cannot be a knave, because this would contradict the false claim of Daniel that If Evelyn is a knight then Jack is a knave.", "We have exhausted all possibilities for Jack, so let us go back and reconsider Evelyn.", "Evelyn cannot be a knave, because this would contradict the false claim of Daniel that If Evelyn is a knight then Jack is a knave.", "We have exhausted all possibilities for Evelyn and Daniel, so let us go back and reconsider Sebastian.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Daniel is a knight if and only if Jack is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that If Evelyn is a knight then Jack is a knave.", "Assume Evelyn is a knight. No contradiction is found in their claim that Jack is a knight and Emma is a knight.", "Jack cannot be a knight, because this would contradict the false claim of Sebastian that Daniel is a knight if and only if Jack is a knight.", "Jack cannot be a knave, because this would contradict the claim of Evelyn that Jack is a knight and Emma is a knight.", "We have exhausted all possibilities for Jack, so let us go back and reconsider Evelyn.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Jack is a knight and Emma is a knight.", "Jack cannot be a knight, because this would contradict the false claim of Sebastian that Daniel is a knight if and only if Jack is a knight.", "Assume Jack is a knave. No contradiction is found in their false claim that Emma is a knight if and only if Sofia is a knave.", "Assume Emma is a knight. No contradiction is found in their claim that Amelia is a knave or Daniel is a knight.", "Amelia cannot be a knight, because this would contradict the claim of their own that Daniel is a knave.", "Assume Amelia is a knave. No contradiction is found in their false claim that Daniel is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that Emma is a knight or Emma is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 4), ('telling-truth', 3)), ('lying', 4), ('or', ('telling-truth', 5), ('lying', 5)), ('<=>', ('telling-truth', 5), ('lying', 2)), ('->', ('telling-truth', 6), ('lying', 3)), ('or', ('lying', 1), ('telling-truth', 4)), ('and', ('telling-truth', 3), ('telling-truth', 5)))", "index": 1087}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Emily, Harper, Aiden, David, Abigail, Joseph, and Jack. In a statement by Emily: \"Harper is a knave and Jack is a knight\". \"David is not a knight,\" Harper mentioned. Aiden said, \"Jack is a knave or Emily is a knave.\" \"Emily is a knight or Jack is a knight,\" David claimed. Abigail stated, \"If Jack is a knight then Aiden is a knave\". \"Jack is a knave if and only if David is a knave,\" Joseph claimed. Jack asserted: \"If Abigail is a knight then Joseph is a knave\". So who is a knight and who is a knave?", "names": ["Emily", "Harper", "Aiden", "David", "Abigail", "Joseph", "Jack"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false, true, true, false], "solution_text": "Emily is a knave, Harper is a knight, Aiden is a knight, David is a knave, Abigail is a knight, Joseph is a knight, and Jack is a knave.", "solution_text_format": "(1) Emily is a knave\n(2) Harper is a knight\n(3) Aiden is a knight\n(4) David is a knave\n(5) Abigail is a knight\n(6) Joseph is a knight\n(7) Jack is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Emily is a knight. No contradiction is found in their claim that Harper is a knave and Jack is a knight.", "Harper cannot be a knight, because this would contradict the claim of Emily that Harper is a knave and Jack is a knight.", "Assume Harper is a knave. No contradiction is found in their false claim that David is not a knight.", "Assume David is a knight. No contradiction is found in their claim that Emily is a knight or Jack is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that If Abigail is a knight then Joseph is a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that If Jack is a knight then Aiden is a knave.", "Aiden cannot be a knight, because this would contradict the claim of their own that Jack is a knave or Emily is a knave.", "Assume Aiden is a knave. No contradiction is found in their false claim that Jack is a knave or Emily is a knave.", "Joseph cannot be a knight, because this would contradict the claim of Jack that If Abigail is a knight then Joseph is a knave.", "Joseph cannot be a knave, because this would contradict the false claim of their own that Jack is a knave if and only if David is a knave.", "We have exhausted all possibilities for Joseph and Aiden, so let us go back and reconsider Abigail.", "Assume Abigail is a knave. No contradiction is found in their false claim that If Jack is a knight then Aiden is a knave.", "Aiden cannot be a knight, because this would contradict the claim of their own that Jack is a knave or Emily is a knave.", "Aiden cannot be a knave, because this would contradict the false claim of Abigail that If Jack is a knight then Aiden is a knave.", "We have exhausted all possibilities for Aiden and Abigail, so let us go back and reconsider Jack.", "Jack cannot be a knave, because this would contradict the claim of Emily that Harper is a knave and Jack is a knight.", "We have exhausted all possibilities for Jack, so let us go back and reconsider David.", "David cannot be a knave, because this would contradict the false claim of Harper that David is not a knight.", "We have exhausted all possibilities for David and Harper, so let us go back and reconsider Emily.", "Assume Emily is a knave. No contradiction is found in their false claim that Harper is a knave and Jack is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that David is not a knight.", "David cannot be a knight, because this would contradict the claim of Harper that David is not a knight.", "Assume David is a knave. No contradiction is found in their false claim that Emily is a knight or Jack is a knight.", "Jack cannot be a knight, because this would contradict the false claim of David that Emily is a knight or Jack is a knight.", "Assume Jack is a knave. No contradiction is found in their false claim that If Abigail is a knight then Joseph is a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that If Jack is a knight then Aiden is a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that Jack is a knave or Emily is a knave.", "Assume Joseph is a knight. No contradiction is found in their claim that Jack is a knave if and only if David is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('telling-truth', 6)), ('not', ('telling-truth', 3)), ('or', ('lying', 6), ('lying', 0)), ('or', ('telling-truth', 0), ('telling-truth', 6)), ('->', ('telling-truth', 6), ('lying', 2)), ('<=>', ('lying', 6), ('lying', 3)), ('->', ('telling-truth', 4), ('lying', 5)))", "index": 1088}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Olivia, Samuel, Ava, Amelia, Benjamin, Aria, and Mia. \"Ava is a knight and Amelia is a knave\" - Olivia. Samuel said, \"Benjamin is a knave.\" In Ava's words: \"If Samuel is a knight then Olivia is a knave\". Amelia said that Olivia is a knave or Aria is a knave. Benjamin noted, \"Ava is a knave and Amelia is a knave\". Aria remarked, \"Ava is a knave\". \"Benjamin is a knight and Aria is a knave,\" Mia claimed. So who is a knight and who is a knave?", "names": ["Olivia", "Samuel", "Ava", "Amelia", "Benjamin", "Aria", "Mia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, false, false, false], "solution_text": "Olivia is a knave, Samuel is a knight, Ava is a knight, Amelia is a knight, Benjamin is a knave, Aria is a knave, and Mia is a knave.", "solution_text_format": "(1) Olivia is a knave\n(2) Samuel is a knight\n(3) Ava is a knight\n(4) Amelia is a knight\n(5) Benjamin is a knave\n(6) Aria is a knave\n(7) Mia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Olivia is a knight. No contradiction is found in their claim that Ava is a knight and Amelia is a knave.", "Assume Ava is a knight. No contradiction is found in their claim that If Samuel is a knight then Olivia is a knave.", "Samuel cannot be a knight, because this would contradict the claim of Ava that If Samuel is a knight then Olivia is a knave.", "Assume Samuel is a knave. No contradiction is found in their false claim that Benjamin is a knave.", "Benjamin cannot be a knight, because this would contradict the claim of their own that Ava is a knave and Amelia is a knave.", "Benjamin cannot be a knave, because this would contradict the false claim of Samuel that Benjamin is a knave.", "We have exhausted all possibilities for Benjamin and Samuel, so let us go back and reconsider Ava.", "Ava cannot be a knave, because this would contradict the claim of Olivia that Ava is a knight and Amelia is a knave.", "We have exhausted all possibilities for Ava, so let us go back and reconsider Olivia.", "Assume Olivia is a knave. No contradiction is found in their false claim that Ava is a knight and Amelia is a knave.", "Assume Ava is a knight. No contradiction is found in their claim that If Samuel is a knight then Olivia is a knave.", "Assume Samuel is a knight. No contradiction is found in their claim that Benjamin is a knave.", "Benjamin cannot be a knight, because this would contradict the claim of Samuel that Benjamin is a knave.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Ava is a knave and Amelia is a knave.", "Assume Amelia is a knight. No contradiction is found in their claim that Olivia is a knave or Aria is a knave.", "Aria cannot be a knight, because this would contradict the claim of their own that Ava is a knave.", "Assume Aria is a knave. No contradiction is found in their false claim that Ava is a knave.", "Mia cannot be a knight, because this would contradict the claim of their own that Benjamin is a knight and Aria is a knave.", "Assume Mia is a knave. No contradiction is found in their false claim that Benjamin is a knight and Aria is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 2), ('lying', 3)), ('lying', 4), ('->', ('telling-truth', 1), ('lying', 0)), ('or', ('lying', 0), ('lying', 5)), ('and', ('lying', 2), ('lying', 3)), ('lying', 2), ('and', ('telling-truth', 4), ('lying', 5)))", "index": 1089}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Matthew, Chloe, Alexander, Zoey, Noah, Ethan, and Sophia. \"Ethan is a knave or Sophia is a knight,\" Matthew declared. Chloe commented, \"Matthew is not a knave\". \"Noah is a knight and Noah is a knave\" - Alexander. Zoey stated, \"If Noah is a knight then Ethan is a knave\". \"If Matthew is a knight then Chloe is a knave\" - Noah. Ethan remarked, \"Matthew is not a knight\". As Sophia put it, \"Noah is a knight or Matthew is a knight\". So who is a knight and who is a knave?", "names": ["Matthew", "Chloe", "Alexander", "Zoey", "Noah", "Ethan", "Sophia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true, false, false, true], "solution_text": "Matthew is a knight, Chloe is a knight, Alexander is a knave, Zoey is a knight, Noah is a knave, Ethan is a knave, and Sophia is a knight.", "solution_text_format": "(1) Matthew is a knight\n(2) Chloe is a knight\n(3) Alexander is a knave\n(4) Zoey is a knight\n(5) Noah is a knave\n(6) Ethan is a knave\n(7) Sophia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Matthew is a knight. No contradiction is found in their claim that Ethan is a knave or Sophia is a knight.", "Ethan cannot be a knight, because this would contradict the claim of their own that Matthew is not a knight.", "Assume Ethan is a knave. No contradiction is found in their false claim that Matthew is not a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that Noah is a knight or Matthew is a knight.", "Assume Noah is a knight. No contradiction is found in their claim that If Matthew is a knight then Chloe is a knave.", "Chloe cannot be a knight, because this would contradict the claim of Noah that If Matthew is a knight then Chloe is a knave.", "Chloe cannot be a knave, because this would contradict the false claim of their own that Matthew is not a knave.", "We have exhausted all possibilities for Chloe, so let us go back and reconsider Noah.", "Assume Noah is a knave. No contradiction is found in their false claim that If Matthew is a knight then Chloe is a knave.", "Assume Chloe is a knight. No contradiction is found in their claim that Matthew is not a knave.", "Alexander cannot be a knight, because this would contradict the claim of their own that Noah is a knight and Noah is a knave.", "Assume Alexander is a knave. No contradiction is found in their false claim that Noah is a knight and Noah is a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that If Noah is a knight then Ethan is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 5), ('telling-truth', 6)), ('not', ('lying', 0)), ('and', ('telling-truth', 4), ('lying', 4)), ('->', ('telling-truth', 4), ('lying', 5)), ('->', ('telling-truth', 0), ('lying', 1)), ('not', ('telling-truth', 0)), ('or', ('telling-truth', 4), ('telling-truth', 0)))", "index": 1090}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Abigail, Riley, Samuel, Sophia, Aria, Emma, and Owen. Abigail noted, \"Emma is not a knave\". Riley noted, \"Sophia is a knave\". \"Aria is a knight if and only if Riley is a knave\" - Samuel. \"Emma is a knave and Riley is a knight,\" Sophia mentioned. \"Owen is a knight if and only if Riley is a knave\" - Aria. In Emma's words: \"Abigail is a knight\". In Owen's words: \"Sophia is a knave\". So who is a knight and who is a knave?", "names": ["Abigail", "Riley", "Samuel", "Sophia", "Aria", "Emma", "Owen"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false, false, true, true], "solution_text": "Abigail is a knight, Riley is a knight, Samuel is a knight, Sophia is a knave, Aria is a knave, Emma is a knight, and Owen is a knight.", "solution_text_format": "(1) Abigail is a knight\n(2) Riley is a knight\n(3) Samuel is a knight\n(4) Sophia is a knave\n(5) Aria is a knave\n(6) Emma is a knight\n(7) Owen is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Abigail is a knight. No contradiction is found in their claim that Emma is not a knave.", "Assume Emma is a knight. No contradiction is found in their claim that Abigail is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that Sophia is a knave.", "Sophia cannot be a knight, because this would contradict the claim of Riley that Sophia is a knave.", "Assume Sophia is a knave. No contradiction is found in their false claim that Emma is a knave and Riley is a knight.", "Assume Samuel is a knight. No contradiction is found in their claim that Aria is a knight if and only if Riley is a knave.", "Aria cannot be a knight, because this would contradict the claim of Samuel that Aria is a knight if and only if Riley is a knave.", "Assume Aria is a knave. No contradiction is found in their false claim that Owen is a knight if and only if Riley is a knave.", "Assume Owen is a knight. No contradiction is found in their claim that Sophia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 5)), ('lying', 3), ('<=>', ('telling-truth', 4), ('lying', 1)), ('and', ('lying', 5), ('telling-truth', 1)), ('<=>', ('telling-truth', 6), ('lying', 1)), ('telling-truth', 0), ('lying', 3))", "index": 1091}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Victoria, Samuel, Aiden, Joseph, Riley, Alexander, and Zoey. \"If Alexander is a knave then Zoey is a knight,\" Victoria claimed. As Samuel put it, \"Aiden is a knave if and only if Riley is a knight\". \"If Zoey is a knave then Riley is a knave,\" Aiden claimed. Joseph noted, \"Zoey is a knave\". Riley stated, \"Alexander is not a knave\". Alexander told you that Riley is a knave or Alexander is a knight. According to Zoey, \"Alexander is not a knight\". So who is a knight and who is a knave?", "names": ["Victoria", "Samuel", "Aiden", "Joseph", "Riley", "Alexander", "Zoey"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true, true, true, false], "solution_text": "Victoria is a knight, Samuel is a knight, Aiden is a knave, Joseph is a knight, Riley is a knight, Alexander is a knight, and Zoey is a knave.", "solution_text_format": "(1) Victoria is a knight\n(2) Samuel is a knight\n(3) Aiden is a knave\n(4) Joseph is a knight\n(5) Riley is a knight\n(6) Alexander is a knight\n(7) Zoey is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Victoria is a knight. No contradiction is found in their claim that If Alexander is a knave then Zoey is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that Riley is a knave or Alexander is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that Alexander is not a knave.", "Zoey cannot be a knight, because this would contradict the claim of their own that Alexander is not a knight.", "Assume Zoey is a knave. No contradiction is found in their false claim that Alexander is not a knight.", "Assume Samuel is a knight. No contradiction is found in their claim that Aiden is a knave if and only if Riley is a knight.", "Aiden cannot be a knight, because this would contradict the claim of Samuel that Aiden is a knave if and only if Riley is a knight.", "Assume Aiden is a knave. No contradiction is found in their false claim that If Zoey is a knave then Riley is a knave.", "Assume Joseph is a knight. No contradiction is found in their claim that Zoey is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 5), ('telling-truth', 6)), ('<=>', ('lying', 2), ('telling-truth', 4)), ('->', ('lying', 6), ('lying', 4)), ('lying', 6), ('not', ('lying', 5)), ('or', ('lying', 4), ('telling-truth', 5)), ('not', ('telling-truth', 5)))", "index": 1092}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Alexander, Aria, Grace, Aurora, Scarlett, Sofia, and Mason. Alexander said, \"Grace is a knave or Scarlett is a knave.\" According to Aria, \"Mason is a knight\". \"Aurora is a knave,\" Grace declared. \"Grace is a knight and Sofia is a knight,\" Aurora mentioned. Scarlett said, \"Scarlett is a knight or Mason is a knave.\" Sofia asserted: \"Grace is a knight and Scarlett is a knight\". Mason said, \"Grace is not a knave.\" So who is a knight and who is a knave?", "names": ["Alexander", "Aria", "Grace", "Aurora", "Scarlett", "Sofia", "Mason"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false, false, false, true], "solution_text": "Alexander is a knight, Aria is a knight, Grace is a knight, Aurora is a knave, Scarlett is a knave, Sofia is a knave, and Mason is a knight.", "solution_text_format": "(1) Alexander is a knight\n(2) Aria is a knight\n(3) Grace is a knight\n(4) Aurora is a knave\n(5) Scarlett is a knave\n(6) Sofia is a knave\n(7) Mason is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Alexander is a knight. No contradiction is found in their claim that Grace is a knave or Scarlett is a knave.", "Assume Grace is a knight. No contradiction is found in their claim that Aurora is a knave.", "Aurora cannot be a knight, because this would contradict the claim of Grace that Aurora is a knave.", "Assume Aurora is a knave. No contradiction is found in their false claim that Grace is a knight and Sofia is a knight.", "Sofia cannot be a knight, because this would contradict the false claim of Aurora that Grace is a knight and Sofia is a knight.", "Assume Sofia is a knave. No contradiction is found in their false claim that Grace is a knight and Scarlett is a knight.", "Scarlett cannot be a knight, because this would contradict the claim of Alexander that Grace is a knave or Scarlett is a knave.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Scarlett is a knight or Mason is a knave.", "Assume Mason is a knight. No contradiction is found in their claim that Grace is not a knave.", "Assume Aria is a knight. No contradiction is found in their claim that Mason is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 2), ('lying', 4)), ('telling-truth', 6), ('lying', 3), ('and', ('telling-truth', 2), ('telling-truth', 5)), ('or', ('telling-truth', 4), ('lying', 6)), ('and', ('telling-truth', 2), ('telling-truth', 4)), ('not', ('lying', 2)))", "index": 1093}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Joseph, Noah, Zoey, William, Isabella, Lily, and Oliver. Joseph noted, \"If Isabella is a knight then Zoey is a knave\". Noah commented, \"Isabella is a knight if and only if Oliver is a knave\". Zoey said that Isabella is not a knight. According to William, \"If Zoey is a knave then Joseph is a knave\". Isabella remarked, \"Oliver is a knave and Zoey is a knave\". Lily asserted: \"William is a knight\". Oliver was heard saying, \"If Zoey is a knight then Isabella is a knave\". So who is a knight and who is a knave?", "names": ["Joseph", "Noah", "Zoey", "William", "Isabella", "Lily", "Oliver"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, false, true, true], "solution_text": "Joseph is a knight, Noah is a knight, Zoey is a knight, William is a knight, Isabella is a knave, Lily is a knight, and Oliver is a knight.", "solution_text_format": "(1) Joseph is a knight\n(2) Noah is a knight\n(3) Zoey is a knight\n(4) William is a knight\n(5) Isabella is a knave\n(6) Lily is a knight\n(7) Oliver is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Joseph is a knight. No contradiction is found in their claim that If Isabella is a knight then Zoey is a knave.", "Assume Isabella is a knight. No contradiction is found in their claim that Oliver is a knave and Zoey is a knave.", "Oliver cannot be a knight, because this would contradict the claim of Isabella that Oliver is a knave and Zoey is a knave.", "Assume Oliver is a knave. No contradiction is found in their false claim that If Zoey is a knight then Isabella is a knave.", "Zoey cannot be a knight, because this would contradict the claim of Joseph that If Isabella is a knight then Zoey is a knave.", "Zoey cannot be a knave, because this would contradict the false claim of Oliver that If Zoey is a knight then Isabella is a knave.", "We have exhausted all possibilities for Zoey and Oliver, so let us go back and reconsider Isabella.", "Assume Isabella is a knave. No contradiction is found in their false claim that Oliver is a knave and Zoey is a knave.", "Assume Oliver is a knight. No contradiction is found in their claim that If Zoey is a knight then Isabella is a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that Isabella is not a knight.", "Assume Noah is a knight. No contradiction is found in their claim that Isabella is a knight if and only if Oliver is a knave.", "Assume William is a knight. No contradiction is found in their claim that If Zoey is a knave then Joseph is a knave.", "Assume Lily is a knight. No contradiction is found in their claim that William is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 4), ('lying', 2)), ('<=>', ('telling-truth', 4), ('lying', 6)), ('not', ('telling-truth', 4)), ('->', ('lying', 2), ('lying', 0)), ('and', ('lying', 6), ('lying', 2)), ('telling-truth', 3), ('->', ('telling-truth', 2), ('lying', 4)))", "index": 1094}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Elizabeth, James, Ethan, Ava, Lucas, Penelope, and Amelia. According to Elizabeth, \"James is a knave and James is a knight\". James stated, \"Ethan is a knight or Penelope is a knight\". Ethan said that Ava is not a knave. Ava said, \"Penelope is not a knight.\" Lucas noted, \"James is a knave if and only if Penelope is a knave\". Penelope said that Lucas is a knave and Elizabeth is a knight. Amelia remarked, \"James is a knight and Ava is a knight\". So who is a knight and who is a knave?", "names": ["Elizabeth", "James", "Ethan", "Ava", "Lucas", "Penelope", "Amelia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, false, false, true], "solution_text": "Elizabeth is a knave, James is a knight, Ethan is a knight, Ava is a knight, Lucas is a knave, Penelope is a knave, and Amelia is a knight.", "solution_text_format": "(1) Elizabeth is a knave\n(2) James is a knight\n(3) Ethan is a knight\n(4) Ava is a knight\n(5) Lucas is a knave\n(6) Penelope is a knave\n(7) Amelia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Elizabeth cannot be a knight, because this would contradict the claim of their own that James is a knave and James is a knight.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that James is a knave and James is a knight.", "Assume James is a knight. No contradiction is found in their claim that Ethan is a knight or Penelope is a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that Ava is not a knave.", "Assume Ava is a knight. No contradiction is found in their claim that Penelope is not a knight.", "Penelope cannot be a knight, because this would contradict the claim of Ava that Penelope is not a knight.", "Assume Penelope is a knave. No contradiction is found in their false claim that Lucas is a knave and Elizabeth is a knight.", "Lucas cannot be a knight, because this would contradict the claim of their own that James is a knave if and only if Penelope is a knave.", "Assume Lucas is a knave. No contradiction is found in their false claim that James is a knave if and only if Penelope is a knave.", "Assume Amelia is a knight. No contradiction is found in their claim that James is a knight and Ava is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('telling-truth', 1)), ('or', ('telling-truth', 2), ('telling-truth', 5)), ('not', ('lying', 3)), ('not', ('telling-truth', 5)), ('<=>', ('lying', 1), ('lying', 5)), ('and', ('lying', 4), ('telling-truth', 0)), ('and', ('telling-truth', 1), ('telling-truth', 3)))", "index": 1095}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Jackson, Grace, Logan, Jack, Emily, Emma, and William. Jackson asserted: \"Emma is a knight if and only if William is a knave\". Grace remarked, \"If Jackson is a knight then Grace is a knight\". Logan said, \"Grace is not a knave.\" Jack noted, \"Emma is a knight or William is a knave\". Emily said that Jackson is a knight or Emma is a knave. Emma was heard saying, \"If Grace is a knight then William is a knight\". William said that Jack is a knave or Emma is a knave. So who is a knight and who is a knave?", "names": ["Jackson", "Grace", "Logan", "Jack", "Emily", "Emma", "William"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, true, true, false], "solution_text": "Jackson is a knight, Grace is a knave, Logan is a knave, Jack is a knight, Emily is a knight, Emma is a knight, and William is a knave.", "solution_text_format": "(1) Jackson is a knight\n(2) Grace is a knave\n(3) Logan is a knave\n(4) Jack is a knight\n(5) Emily is a knight\n(6) Emma is a knight\n(7) William is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jackson is a knight. No contradiction is found in their claim that Emma is a knight if and only if William is a knave.", "Assume Emma is a knight. No contradiction is found in their claim that If Grace is a knight then William is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that If Jackson is a knight then Grace is a knight.", "William cannot be a knight, because this would contradict the claim of Jackson that Emma is a knight if and only if William is a knave.", "William cannot be a knave, because this would contradict the claim of Emma that If Grace is a knight then William is a knight.", "We have exhausted all possibilities for William, so let us go back and reconsider Grace.", "Assume Grace is a knave. No contradiction is found in their false claim that If Jackson is a knight then Grace is a knight.", "William cannot be a knight, because this would contradict the claim of Jackson that Emma is a knight if and only if William is a knave.", "Assume William is a knave. No contradiction is found in their false claim that Jack is a knave or Emma is a knave.", "Assume Jack is a knight. No contradiction is found in their claim that Emma is a knight or William is a knave.", "Logan cannot be a knight, because this would contradict the claim of their own that Grace is not a knave.", "Assume Logan is a knave. No contradiction is found in their false claim that Grace is not a knave.", "Assume Emily is a knight. No contradiction is found in their claim that Jackson is a knight or Emma is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 5), ('lying', 6)), ('->', ('telling-truth', 0), ('telling-truth', 1)), ('not', ('lying', 1)), ('or', ('telling-truth', 5), ('lying', 6)), ('or', ('telling-truth', 0), ('lying', 5)), ('->', ('telling-truth', 1), ('telling-truth', 6)), ('or', ('lying', 3), ('lying', 5)))", "index": 1096}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Scarlett, Daniel, Evelyn, Victoria, Abigail, Aiden, and Riley. In Scarlett's words: \"Aiden is a knave if and only if Victoria is a knave\". \"Aiden is a knave and Scarlett is a knight\" - Daniel. \"Riley is a knave\" - Evelyn. \"Aiden is a knight and Abigail is a knight,\" Victoria declared. \"Aiden is a knight or Riley is a knave,\" Abigail mentioned. \"Scarlett is a knave,\" Aiden claimed. Riley said that If Victoria is a knight then Evelyn is a knight. So who is a knight and who is a knave?", "names": ["Scarlett", "Daniel", "Evelyn", "Victoria", "Abigail", "Aiden", "Riley"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false, false, false, true], "solution_text": "Scarlett is a knight, Daniel is a knight, Evelyn is a knave, Victoria is a knave, Abigail is a knave, Aiden is a knave, and Riley is a knight.", "solution_text_format": "(1) Scarlett is a knight\n(2) Daniel is a knight\n(3) Evelyn is a knave\n(4) Victoria is a knave\n(5) Abigail is a knave\n(6) Aiden is a knave\n(7) Riley is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Scarlett is a knight. No contradiction is found in their claim that Aiden is a knave if and only if Victoria is a knave.", "Aiden cannot be a knight, because this would contradict the claim of their own that Scarlett is a knave.", "Assume Aiden is a knave. No contradiction is found in their false claim that Scarlett is a knave.", "Victoria cannot be a knight, because this would contradict the claim of Scarlett that Aiden is a knave if and only if Victoria is a knave.", "Assume Victoria is a knave. No contradiction is found in their false claim that Aiden is a knight and Abigail is a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that Aiden is a knight or Riley is a knave.", "Riley cannot be a knight, because this would contradict the claim of Abigail that Aiden is a knight or Riley is a knave.", "Riley cannot be a knave, because this would contradict the false claim of their own that If Victoria is a knight then Evelyn is a knight.", "We have exhausted all possibilities for Riley, so let us go back and reconsider Abigail.", "Assume Abigail is a knave. No contradiction is found in their false claim that Aiden is a knight or Riley is a knave.", "Assume Riley is a knight. No contradiction is found in their claim that If Victoria is a knight then Evelyn is a knight.", "Evelyn cannot be a knight, because this would contradict the claim of their own that Riley is a knave.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Riley is a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that Aiden is a knave and Scarlett is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 5), ('lying', 3)), ('and', ('lying', 5), ('telling-truth', 0)), ('lying', 6), ('and', ('telling-truth', 5), ('telling-truth', 4)), ('or', ('telling-truth', 5), ('lying', 6)), ('lying', 0), ('->', ('telling-truth', 3), ('telling-truth', 2)))", "index": 1097}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Benjamin, Ava, Matthew, Sebastian, Mason, Jack, and Mia. Benjamin said that Sebastian is not a knight. \"Mia is a knave if and only if Benjamin is a knave,\" Ava declared. As Matthew put it, \"Mason is a knave if and only if Sebastian is a knave\". In a statement by Sebastian: \"Benjamin is a knave if and only if Matthew is a knight\". Mason commented, \"Benjamin is a knave if and only if Sebastian is a knight\". In Jack's words: \"Ava is a knave if and only if Mia is a knave\". As Mia put it, \"Jack is a knight and Matthew is a knave\". So who is a knight and who is a knave?", "names": ["Benjamin", "Ava", "Matthew", "Sebastian", "Mason", "Jack", "Mia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, true, false, false], "solution_text": "Benjamin is a knave, Ava is a knight, Matthew is a knight, Sebastian is a knight, Mason is a knight, Jack is a knave, and Mia is a knave.", "solution_text_format": "(1) Benjamin is a knave\n(2) Ava is a knight\n(3) Matthew is a knight\n(4) Sebastian is a knight\n(5) Mason is a knight\n(6) Jack is a knave\n(7) Mia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Benjamin is a knight. No contradiction is found in their claim that Sebastian is not a knight.", "Sebastian cannot be a knight, because this would contradict the claim of Benjamin that Sebastian is not a knight.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Benjamin is a knave if and only if Matthew is a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that Mason is a knave if and only if Sebastian is a knave.", "Mason cannot be a knight, because this would contradict the claim of Matthew that Mason is a knave if and only if Sebastian is a knave.", "Mason cannot be a knave, because this would contradict the false claim of their own that Benjamin is a knave if and only if Sebastian is a knight.", "We have exhausted all possibilities for Mason, so let us go back and reconsider Matthew.", "Matthew cannot be a knave, because this would contradict the false claim of Sebastian that Benjamin is a knave if and only if Matthew is a knight.", "We have exhausted all possibilities for Matthew and Sebastian, so let us go back and reconsider Benjamin.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Sebastian is not a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Benjamin is a knave if and only if Matthew is a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that Mason is a knave if and only if Sebastian is a knave.", "Assume Mason is a knight. No contradiction is found in their claim that Benjamin is a knave if and only if Sebastian is a knight.", "Assume Ava is a knight. No contradiction is found in their claim that Mia is a knave if and only if Benjamin is a knave.", "Mia cannot be a knight, because this would contradict the claim of Ava that Mia is a knave if and only if Benjamin is a knave.", "Assume Mia is a knave. No contradiction is found in their false claim that Jack is a knight and Matthew is a knave.", "Jack cannot be a knight, because this would contradict the claim of their own that Ava is a knave if and only if Mia is a knave.", "Assume Jack is a knave. No contradiction is found in their false claim that Ava is a knave if and only if Mia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 3)), ('<=>', ('lying', 6), ('lying', 0)), ('<=>', ('lying', 4), ('lying', 3)), ('<=>', ('lying', 0), ('telling-truth', 2)), ('<=>', ('lying', 0), ('telling-truth', 3)), ('<=>', ('lying', 1), ('lying', 6)), ('and', ('telling-truth', 5), ('lying', 2)))", "index": 1098}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Joseph, Evelyn, Liam, Harper, Lily, Elizabeth, and Luke. Joseph was heard saying, \"Lily is a knave if and only if Joseph is a knight\". \"Luke is not a knight,\" Evelyn claimed. Liam said, \"Luke is a knave.\" Harper asserted: \"Lily is a knight if and only if Joseph is a knight\". Lily said, \"Harper is a knave and Lily is a knight.\" Elizabeth noted, \"Luke is a knight\". \"If Joseph is a knight then Elizabeth is a knave,\" Luke declared. So who is a knight and who is a knave?", "names": ["Joseph", "Evelyn", "Liam", "Harper", "Lily", "Elizabeth", "Luke"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true, false, true, true], "solution_text": "Joseph is a knave, Evelyn is a knave, Liam is a knave, Harper is a knight, Lily is a knave, Elizabeth is a knight, and Luke is a knight.", "solution_text_format": "(1) Joseph is a knave\n(2) Evelyn is a knave\n(3) Liam is a knave\n(4) Harper is a knight\n(5) Lily is a knave\n(6) Elizabeth is a knight\n(7) Luke is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Joseph is a knight. No contradiction is found in their claim that Lily is a knave if and only if Joseph is a knight.", "Lily cannot be a knight, because this would contradict the claim of Joseph that Lily is a knave if and only if Joseph is a knight.", "Assume Lily is a knave. No contradiction is found in their false claim that Harper is a knave and Lily is a knight.", "Harper cannot be a knight, because this would contradict the claim of their own that Lily is a knight if and only if Joseph is a knight.", "Assume Harper is a knave. No contradiction is found in their false claim that Lily is a knight if and only if Joseph is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that Luke is not a knight.", "Luke cannot be a knight, because this would contradict the claim of Evelyn that Luke is not a knight.", "Assume Luke is a knave. No contradiction is found in their false claim that If Joseph is a knight then Elizabeth is a knave.", "Elizabeth cannot be a knight, because this would contradict the claim of their own that Luke is a knight.", "Elizabeth cannot be a knave, because this would contradict the false claim of Luke that If Joseph is a knight then Elizabeth is a knave.", "We have exhausted all possibilities for Elizabeth and Luke, so let us go back and reconsider Evelyn.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Luke is not a knight.", "Assume Luke is a knight. No contradiction is found in their claim that If Joseph is a knight then Elizabeth is a knave.", "Elizabeth cannot be a knight, because this would contradict the claim of Luke that If Joseph is a knight then Elizabeth is a knave.", "Elizabeth cannot be a knave, because this would contradict the false claim of their own that Luke is a knight.", "We have exhausted all possibilities for Elizabeth, so let us go back and reconsider Luke.", "Luke cannot be a knave, because this would contradict the false claim of Evelyn that Luke is not a knight.", "We have exhausted all possibilities for Luke, Evelyn, Harper, and Lily, so let us go back and reconsider Joseph.", "Assume Joseph is a knave. No contradiction is found in their false claim that Lily is a knave if and only if Joseph is a knight.", "Lily cannot be a knight, because this would contradict the false claim of Joseph that Lily is a knave if and only if Joseph is a knight.", "Assume Lily is a knave. No contradiction is found in their false claim that Harper is a knave and Lily is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that Lily is a knight if and only if Joseph is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that Luke is not a knight.", "Luke cannot be a knight, because this would contradict the claim of Evelyn that Luke is not a knight.", "Luke cannot be a knave, because this would contradict the false claim of their own that If Joseph is a knight then Elizabeth is a knave.", "We have exhausted all possibilities for Luke, so let us go back and reconsider Evelyn.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Luke is not a knight.", "Assume Luke is a knight. No contradiction is found in their claim that If Joseph is a knight then Elizabeth is a knave.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Luke is a knight.", "Liam cannot be a knight, because this would contradict the claim of their own that Luke is a knave.", "Assume Liam is a knave. No contradiction is found in their false claim that Luke is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 4), ('telling-truth', 0)), ('not', ('telling-truth', 6)), ('lying', 6), ('<=>', ('telling-truth', 4), ('telling-truth', 0)), ('and', ('lying', 3), ('telling-truth', 4)), ('telling-truth', 6), ('->', ('telling-truth', 0), ('lying', 5)))", "index": 1099}