{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 3 inhabitants: Michael, Zoey, and Ethan. Michael was heard saying, \"Ethan is a knight if and only if Michael is a knight\". \"Zoey is a knight or Ethan is a knight,\" Zoey mentioned. Ethan asserted: \"Michael is a knave if and only if Zoey is a knave\". So who is a knight and who is a knave?", "names": ["Michael", "Zoey", "Ethan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Michael is a knight, Zoey is a knight, and Ethan is a knight.", "solution_text_format": "(1) Michael is a knight\n(2) Zoey is a knight\n(3) 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 Michael is a knight. No contradiction is found in their claim that Ethan is a knight if and only if Michael is a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that Michael is a knave if and only if Zoey is a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that Zoey is a knight or Ethan is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 2), ('telling-truth', 0)), ('or', ('telling-truth', 1), ('telling-truth', 2)), ('<=>', ('lying', 0), ('lying', 1)))", "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 3 inhabitants: Michael, Mason, and Jacob. Michael commented, \"Mason is not a knight\". Mason commented, \"Michael is a knight and Jacob is a knave\". Jacob stated, \"If Michael is a knight then Jacob is a knight\". So who is a knight and who is a knave?", "names": ["Michael", "Mason", "Jacob"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Michael is a knight, Mason is a knave, and Jacob is a knight.", "solution_text_format": "(1) Michael is a knight\n(2) Mason is a knave\n(3) 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 Michael 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 Michael that Mason is not a knight.", "Assume Mason is a knave. No contradiction is found in their false claim that Michael is a knight and Jacob is a knave.", "Assume Jacob is a knight. No contradiction is found in their claim that If Michael is a knight then Jacob is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('and', ('telling-truth', 0), ('lying', 2)), ('->', ('telling-truth', 0), ('telling-truth', 2)))", "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 3 inhabitants: Lucas, Harper, and Amelia. Lucas expressed that Harper is not a knave. In a statement by Harper: \"Harper is a knight if and only if Amelia is a knave\". As Amelia put it, \"Harper is not a knight\". So who is a knight and who is a knave?", "names": ["Lucas", "Harper", "Amelia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Lucas is a knight, Harper is a knight, and Amelia is a knave.", "solution_text_format": "(1) Lucas is a knight\n(2) Harper is a knight\n(3) 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 Lucas 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 Harper is a knight if and only if Amelia is a knave.", "Amelia cannot be a knight, because this would contradict the claim of Harper that Harper 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 Harper is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 1)), ('<=>', ('telling-truth', 1), ('lying', 2)), ('not', ('telling-truth', 1)))", "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 3 inhabitants: Owen, Joseph, and Sofia. Owen noted, \"Joseph is a knight or Sofia is a knight\". \"Owen is a knave if and only if Sofia is a knight,\" Joseph declared. \"If Joseph is a knave then Joseph is a knight,\" Sofia claimed. So who is a knight and who is a knave?", "names": ["Owen", "Joseph", "Sofia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false], "solution_text": "Owen is a knave, Joseph is a knave, and Sofia is a knave.", "solution_text_format": "(1) Owen is a knave\n(2) Joseph is a knave\n(3) 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 Owen is a knight. No contradiction is found in their claim that Joseph is a knight or Sofia is a knight.", "Assume Joseph is a knight. No contradiction is found in their claim that Owen is a knave if and only if Sofia is a knight.", "Sofia cannot be a knight, because this would contradict the claim of Joseph that Owen is a knave 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 Joseph 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 Owen is a knave if and only if Sofia is a knight.", "Sofia cannot be a knight, because this would contradict the claim of their own that If Joseph is a knave then Joseph is a knight.", "Sofia cannot be a knave, because this would contradict the claim of Owen that Joseph is a knight or Sofia is a knight.", "We have exhausted all possibilities for Sofia and Joseph, so let us go back and reconsider Owen.", "Assume Owen is a knave. No contradiction is found in their false claim that Joseph is a knight or Sofia is a knight.", "Joseph cannot be a knight, because this would contradict the false claim of Owen that Joseph is a knight or Sofia is a knight.", "Assume Joseph is a knave. No contradiction is found in their false claim that Owen is a knave if and only if Sofia is a knight.", "Sofia cannot be a knight, because this would contradict the false claim of Owen that Joseph is a knight or Sofia is a knight.", "Assume Sofia is a knave. No contradiction is found in their false claim that If Joseph is a knave then Joseph is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 1), ('telling-truth', 2)), ('<=>', ('lying', 0), ('telling-truth', 2)), ('->', ('lying', 1), ('telling-truth', 1)))", "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 3 inhabitants: Abigail, Scarlett, and Evelyn. In Abigail's words: \"Abigail is a knight if and only if Evelyn is a knight\". Scarlett remarked, \"Abigail is a knight\". According to Evelyn, \"Scarlett is not a knight\". So who is a knight and who is a knave?", "names": ["Abigail", "Scarlett", "Evelyn"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Abigail is a knave, Scarlett is a knave, and Evelyn is a knight.", "solution_text_format": "(1) Abigail is a knave\n(2) Scarlett is a knave\n(3) 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 Abigail is a knight. No contradiction is found in their claim that Abigail is a knight if and only if Evelyn is a knight.", "Assume Evelyn 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 Evelyn that Scarlett is not a knight.", "Scarlett cannot be a knave, because this would contradict the false claim of their own that Abigail is a knight.", "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 Abigail that Abigail 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 Abigail.", "Assume Abigail is a knave. No contradiction is found in their false claim that Abigail is a knight if and only if Evelyn is a knight.", "Assume Evelyn 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 their own that Abigail is a knight.", "Assume Scarlett 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', 0), ('telling-truth', 2)), ('telling-truth', 0), ('not', ('telling-truth', 1)))", "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 3 inhabitants: Penelope, Matthew, and Victoria. \"Penelope is a knight and Matthew is a knight,\" Penelope claimed. Matthew was heard saying, \"Victoria is a knave and Victoria is a knight\". Victoria said that If Matthew is a knight then Matthew is a knave. So who is a knight and who is a knave?", "names": ["Penelope", "Matthew", "Victoria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Penelope is a knave, Matthew is a knave, and Victoria is a knight.", "solution_text_format": "(1) Penelope is a knave\n(2) Matthew is a knave\n(3) 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 Penelope is a knight. No contradiction is found in their claim that Penelope is a knight and Matthew is a knight.", "Matthew cannot be a knight, because this would contradict the claim of their own that Victoria is a knave and Victoria is a knight.", "Matthew cannot be a knave, because this would contradict the claim of Penelope that Penelope is a knight and Matthew is a knight.", "We have exhausted all possibilities for Matthew, so let us go back and reconsider Penelope.", "Assume Penelope is a knave. No contradiction is found in their false claim that Penelope is a knight and Matthew is a knight.", "Matthew cannot be a knight, because this would contradict the claim of their own that Victoria is a knave and Victoria is a knight.", "Assume Matthew is a knave. No contradiction is found in their false claim that Victoria is a knave and Victoria is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that If Matthew is a knight then Matthew is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 0), ('telling-truth', 1)), ('and', ('lying', 2), ('telling-truth', 2)), ('->', ('telling-truth', 1), ('lying', 1)))", "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 3 inhabitants: Emily, Liam, and Elizabeth. According to Emily, \"Elizabeth is a knight or Elizabeth is a knave\". Liam told you that If Elizabeth is a knave then Emily is a knight. Elizabeth said, \"Liam is a knave.\" So who is a knight and who is a knave?", "names": ["Emily", "Liam", "Elizabeth"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Emily is a knight, Liam is a knight, and Elizabeth is a knave.", "solution_text_format": "(1) Emily is a knight\n(2) Liam is a knight\n(3) 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 Emily is a knight. No contradiction is found in their claim that Elizabeth is a knight or Elizabeth is a knave.", "Assume Elizabeth 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 Elizabeth that Liam is a knave.", "Liam cannot be a knave, because this would contradict the false claim of their own that If Elizabeth is a knave then Emily is a knight.", "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 a knave.", "Assume Liam is a knight. No contradiction is found in their claim that If Elizabeth is a knave then Emily is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 2), ('lying', 2)), ('->', ('lying', 2), ('telling-truth', 0)), ('lying', 1))", "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 3 inhabitants: Michael, Ava, and Henry. As Michael put it, \"Ava is a knave or Ava is a knight\". \"Michael is not a knave,\" Ava mentioned. In Henry's words: \"Michael is a knight\". So who is a knight and who is a knave?", "names": ["Michael", "Ava", "Henry"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Michael is a knight, Ava is a knight, and Henry is a knight.", "solution_text_format": "(1) Michael is a knight\n(2) Ava is a knight\n(3) 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 Michael is a knight. No contradiction is found in their claim that Ava is a knave or Ava is a knight.", "Assume Ava is a knight. No contradiction is found in their claim that Michael is not a knave.", "Assume Henry is a knight. No contradiction is found in their claim that Michael is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('telling-truth', 1)), ('not', ('lying', 0)), ('telling-truth', 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 3 inhabitants: Oliver, Alexander, and Mason. \"Alexander is a knave or Alexander is a knight\" - Oliver. \"Mason is not a knave,\" Alexander mentioned. Mason noted, \"Mason is a knight or Oliver is a knight\". So who is a knight and who is a knave?", "names": ["Oliver", "Alexander", "Mason"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Oliver is a knight, Alexander is a knight, and Mason is a knight.", "solution_text_format": "(1) Oliver is a knight\n(2) Alexander is a knight\n(3) 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 Oliver is a knight. No contradiction is found in their claim that Alexander is a knave or Alexander is a knight.", "Assume Alexander 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 or Oliver is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('telling-truth', 1)), ('not', ('lying', 2)), ('or', ('telling-truth', 2), ('telling-truth', 0)))", "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 3 inhabitants: Lily, Samuel, and Sophia. In a statement by Lily: \"Sophia is a knight or Samuel is a knight\". Samuel stated, \"Sophia is a knight or Lily is a knave\". As Sophia put it, \"If Samuel is a knave then Samuel is a knight\". So who is a knight and who is a knave?", "names": ["Lily", "Samuel", "Sophia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Lily is a knight, Samuel is a knight, and Sophia is a knight.", "solution_text_format": "(1) Lily is a knight\n(2) Samuel is a knight\n(3) 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 Lily is a knight. No contradiction is found in their claim that Sophia is a knight or Samuel is a knight.", "Assume Sophia 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 Sophia is a knight or Lily is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 2), ('telling-truth', 1)), ('or', ('telling-truth', 2), ('lying', 0)), ('->', ('lying', 1), ('telling-truth', 1)))", "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 3 inhabitants: Charlotte, Luke, and Liam. Charlotte expressed that Luke is a knave if and only if Liam is a knave. In Luke's words: \"Charlotte is not a knight\". \"Charlotte is a knave,\" Liam declared. So who is a knight and who is a knave?", "names": ["Charlotte", "Luke", "Liam"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false], "solution_text": "Charlotte is a knight, Luke is a knave, and Liam is a knave.", "solution_text_format": "(1) Charlotte is a knight\n(2) Luke is a knave\n(3) 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 Charlotte is a knight. No contradiction is found in their claim that Luke is a knave if and only if Liam is a knave.", "Luke cannot be a knight, because this would contradict the claim of their own that Charlotte is not a knight.", "Assume Luke is a knave. No contradiction is found in their false claim that Charlotte is not a knight.", "Liam cannot be a knight, because this would contradict the claim of Charlotte that Luke 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 Charlotte is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('lying', 2)), ('not', ('telling-truth', 0)), ('lying', 0))", "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 3 inhabitants: Sebastian, Matthew, and Logan. Sebastian was heard saying, \"Logan is a knave or Sebastian is a knight\". As Matthew put it, \"If Logan is a knight then Sebastian is a knave\". As Logan put it, \"Matthew is not a knave\". So who is a knight and who is a knave?", "names": ["Sebastian", "Matthew", "Logan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Sebastian is a knave, Matthew is a knight, and Logan is a knight.", "solution_text_format": "(1) Sebastian is a knave\n(2) Matthew is a knight\n(3) 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 Sebastian is a knight. No contradiction is found in their claim that Logan is a knave or Sebastian is a knight.", "Assume Logan 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 their own that If Logan is a knight then Sebastian is a knave.", "Matthew cannot be a knave, because this would contradict the claim of Logan that Matthew is not a knave.", "We have exhausted all possibilities for Matthew, so let us go back and reconsider Logan.", "Assume Logan 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 Logan that Matthew is not a knave.", "Matthew cannot be a knave, because this would contradict the false claim of their own that If Logan is a knight then Sebastian is a knave.", "We have exhausted all possibilities for Matthew 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 a knave or Sebastian is a knight.", "Assume Logan 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 Logan is a knight then Sebastian is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 2), ('telling-truth', 0)), ('->', ('telling-truth', 2), ('lying', 0)), ('not', ('lying', 1)))", "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 3 inhabitants: Lily, Harper, and Luke. Lily was heard saying, \"Harper is a knave or Luke is a knight\". According to Harper, \"If Lily is a knave then Luke is a knave\". Luke said, \"Lily is a knight and Lily is a knave.\" So who is a knight and who is a knave?", "names": ["Lily", "Harper", "Luke"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Lily is a knave, Harper is a knight, and Luke is a knave.", "solution_text_format": "(1) Lily is a knave\n(2) Harper is a knight\n(3) 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 Lily is a knight. No contradiction is found in their claim that Harper is a knave or Luke is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that If Lily is a knave then Luke is a knave.", "Luke cannot be a knight, because this would contradict the claim of their own that Lily is a knight and Lily is a knave.", "Luke cannot be a knave, because this would contradict the claim of Lily that Harper is a knave or Luke is a knight.", "We have exhausted all possibilities for Luke, 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 Lily is a knave then Luke is a knave.", "We have exhausted all possibilities for Harper, so let us go back and reconsider Lily.", "Assume Lily is a knave. No contradiction is found in their false claim that Harper is a knave or Luke is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that If Lily is a knave then Luke is a knave.", "Luke cannot be a knight, because this would contradict the false claim of Lily that Harper is a knave or Luke is a knight.", "Assume Luke is a knave. No contradiction is found in their false claim that Lily is a knight and Lily is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('telling-truth', 2)), ('->', ('lying', 0), ('lying', 2)), ('and', ('telling-truth', 0), ('lying', 0)))", "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 3 inhabitants: James, Abigail, and Ava. James noted, \"Abigail is a knight\". \"Abigail is a knight if and only if James is a knight,\" Abigail claimed. Ava expressed that Abigail is not a knight. So who is a knight and who is a knave?", "names": ["James", "Abigail", "Ava"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "James is a knight, Abigail is a knight, and Ava is a knave.", "solution_text_format": "(1) James is a knight\n(2) Abigail is a knight\n(3) 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 James 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 Abigail is a knight if and only if James is a knight.", "Ava cannot be a knight, because this would contradict the claim of their own that Abigail is not a knight.", "Assume Ava 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": "(('telling-truth', 1), ('<=>', ('telling-truth', 1), ('telling-truth', 0)), ('not', ('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 3 inhabitants: Victoria, William, and Aria. Victoria noted, \"Aria is a knave or Aria is a knight\". William expressed that Victoria is a knave or Aria is a knave. \"William is a knight or William is a knave,\" Aria declared. So who is a knight and who is a knave?", "names": ["Victoria", "William", "Aria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Victoria is a knight, William is a knave, and Aria is a knight.", "solution_text_format": "(1) Victoria is a knight\n(2) William is a knave\n(3) 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 Victoria is a knight. No contradiction is found in their claim that Aria is a knave or Aria is a knight.", "Assume Aria is a knight. No contradiction is found in their claim that William is a knight or William is a knave.", "William cannot be a knight, because this would contradict the claim of their own that Victoria is a knave or Aria is a knave.", "Assume William is a knave. No contradiction is found in their false claim that Victoria is a knave or Aria is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 2), ('telling-truth', 2)), ('or', ('lying', 0), ('lying', 2)), ('or', ('telling-truth', 1), ('lying', 1)))", "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 3 inhabitants: Sebastian, Charlotte, and Riley. Sebastian noted, \"Riley is a knave or Sebastian is a knight\". \"If Sebastian is a knight then Charlotte is a knight\" - Charlotte. In Riley's words: \"Sebastian is a knave if and only if Riley is a knight\". So who is a knight and who is a knave?", "names": ["Sebastian", "Charlotte", "Riley"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Sebastian is a knave, Charlotte is a knight, and Riley is a knight.", "solution_text_format": "(1) Sebastian is a knave\n(2) Charlotte is a knight\n(3) 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 Riley is a knave or Sebastian is a knight.", "Riley cannot be a knight, because this would contradict the claim of their own that Sebastian 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 Sebastian 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 Sebastian.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Riley is a knave or Sebastian is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that Sebastian is a knave if and only if Riley is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that If Sebastian is a knight then Charlotte is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 2), ('telling-truth', 0)), ('->', ('telling-truth', 0), ('telling-truth', 1)), ('<=>', ('lying', 0), ('telling-truth', 2)))", "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 3 inhabitants: Owen, Jacob, and Amelia. Owen said that Jacob is not a knight. Jacob said, \"If Amelia is a knave then Owen is a knight.\" Amelia commented, \"If Owen is a knight then Owen is a knave\". So who is a knight and who is a knave?", "names": ["Owen", "Jacob", "Amelia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Owen is a knave, Jacob is a knight, and Amelia is a knight.", "solution_text_format": "(1) Owen is a knave\n(2) Jacob is a knight\n(3) 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 Owen 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 Owen that Jacob is not a knight.", "Jacob 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 Jacob, so let us go back and reconsider Owen.", "Assume Owen 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 Amelia is a knave then Owen is a knight.", "Assume Amelia 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": "(('not', ('telling-truth', 1)), ('->', ('lying', 2), ('telling-truth', 0)), ('->', ('telling-truth', 0), ('lying', 0)))", "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 3 inhabitants: Alexander, Lucas, and Daniel. \"Lucas is not a knave\" - Alexander. Lucas told you that Daniel is not a knave. \"Lucas is a knight if and only if Daniel is a knight\" - Daniel. So who is a knight and who is a knave?", "names": ["Alexander", "Lucas", "Daniel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Alexander is a knight, Lucas is a knight, and Daniel is a knight.", "solution_text_format": "(1) Alexander is a knight\n(2) Lucas is a knight\n(3) 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 Alexander 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 Daniel is not a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that Lucas is a knight if and only if Daniel is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 1)), ('not', ('lying', 2)), ('<=>', ('telling-truth', 1), ('telling-truth', 2)))", "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 3 inhabitants: Sebastian, Aria, and Benjamin. \"Aria is a knave or Sebastian is a knight,\" Sebastian claimed. Aria said, \"Sebastian is not a knave.\" \"Sebastian is a knight or Benjamin is a knight,\" Benjamin declared. So who is a knight and who is a knave?", "names": ["Sebastian", "Aria", "Benjamin"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Sebastian is a knight, Aria is a knight, and Benjamin is a knight.", "solution_text_format": "(1) Sebastian is a knight\n(2) Aria is a knight\n(3) 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 Sebastian is a knight. No contradiction is found in their claim that Aria is a knave or Sebastian is a knight.", "Assume Aria is a knight. No contradiction is found in their claim that Sebastian is not a knave.", "Assume Benjamin is a knight. No contradiction is found in their claim that Sebastian is a knight or Benjamin is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('telling-truth', 0)), ('not', ('lying', 0)), ('or', ('telling-truth', 0), ('telling-truth', 2)))", "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 3 inhabitants: Daniel, Ethan, and Riley. Daniel told you that Ethan is a knave or Riley is a knave. Ethan told you that Daniel is a knight. \"Daniel is a knight if and only if Daniel is a knave\" - Riley. So who is a knight and who is a knave?", "names": ["Daniel", "Ethan", "Riley"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Daniel is a knight, Ethan is a knight, and Riley is a knave.", "solution_text_format": "(1) Daniel is a knight\n(2) Ethan is a knight\n(3) 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 Daniel is a knight. No contradiction is found in their claim that Ethan is a knave or Riley is a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that Daniel is a knight.", "Riley cannot be a knight, because this would contradict the claim of Daniel that Ethan is a knave or Riley is a knave.", "Assume Riley is a knave. No contradiction is found in their false claim that Daniel is a knight if and only if Daniel is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('lying', 2)), ('telling-truth', 0), ('<=>', ('telling-truth', 0), ('lying', 0)))", "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 3 inhabitants: Elizabeth, Zoey, and Mason. Elizabeth remarked, \"Mason is a knight or Zoey is a knight\". Zoey noted, \"Mason is a knave if and only if Mason is a knight\". \"Elizabeth is a knave or Elizabeth is a knight,\" Mason declared. So who is a knight and who is a knave?", "names": ["Elizabeth", "Zoey", "Mason"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Elizabeth is a knight, Zoey is a knave, and Mason is a knight.", "solution_text_format": "(1) Elizabeth is a knight\n(2) Zoey is a knave\n(3) 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 Elizabeth is a knight. No contradiction is found in their claim that Mason is a knight or Zoey is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that Elizabeth is a knave or Elizabeth is a knight.", "Zoey cannot be a knight, because this would contradict the claim of their own that Mason is a knave if and only if Mason is a knight.", "Assume Zoey is a knave. No contradiction is found in their false claim that Mason is a knave if and only if Mason is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 2), ('telling-truth', 1)), ('<=>', ('lying', 2), ('telling-truth', 2)), ('or', ('lying', 0), ('telling-truth', 0)))", "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 3 inhabitants: Harper, Emily, and Abigail. Harper commented, \"Abigail is a knight and Emily is a knave\". Emily stated, \"Abigail is a knight\". Abigail was heard saying, \"Harper is a knave or Abigail is a knight\". So who is a knight and who is a knave?", "names": ["Harper", "Emily", "Abigail"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Harper is a knave, Emily is a knight, and Abigail is a knight.", "solution_text_format": "(1) Harper is a knave\n(2) Emily is a knight\n(3) 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 Harper is a knight. No contradiction is found in their claim that Abigail is a knight and Emily is a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that Harper is a knave or Abigail is a knight.", "Emily cannot be a knight, because this would contradict the claim of Harper that Abigail is a knight and Emily is a knave.", "Emily cannot be a knave, because this would contradict the false claim of their own that Abigail is a knight.", "We have exhausted all possibilities for Emily, so let us go back and reconsider Abigail.", "Abigail cannot be a knave, because this would contradict the claim of Harper that Abigail is a knight and Emily is a knave.", "We have exhausted all possibilities for 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 knight and Emily is a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that Harper is a knave or Abigail is a knight.", "Assume Emily is a knight. No contradiction is found in their claim that Abigail is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 2), ('lying', 1)), ('telling-truth', 2), ('or', ('lying', 0), ('telling-truth', 2)))", "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 3 inhabitants: Logan, Lucas, and Sophia. Logan remarked, \"Sophia is a knight\". Lucas said that If Sophia is a knave then Logan is a knight. Sophia stated, \"Logan is a knave if and only if Lucas is a knight\". So who is a knight and who is a knave?", "names": ["Logan", "Lucas", "Sophia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false], "solution_text": "Logan is a knave, Lucas is a knave, and Sophia is a knave.", "solution_text_format": "(1) Logan is a knave\n(2) Lucas is a knave\n(3) 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 Logan 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 Logan is a knave if and only if Lucas is a knight.", "Lucas cannot be a knight, because this would contradict the claim of Sophia that Logan 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 Logan is a knight.", "We have exhausted all possibilities for Lucas, so let us go back and reconsider Sophia.", "Sophia cannot be a knave, because this would contradict the claim of Logan that Sophia is a knight.", "We have exhausted all possibilities for Sophia, so let us go back and reconsider Logan.", "Assume Logan 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 false claim of Logan that Sophia is a knight.", "Assume Sophia is a knave. No contradiction is found in their false claim that Logan is a knave if and only if Lucas is a knight.", "Lucas cannot be a knight, because this would contradict the claim of their own that If Sophia is a knave then Logan is a knight.", "Assume Lucas is a knave. No contradiction is found in their false claim that If Sophia is a knave then Logan is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 2), ('->', ('lying', 2), ('telling-truth', 0)), ('<=>', ('lying', 0), ('telling-truth', 1)))", "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 3 inhabitants: Charlotte, Mia, and Evelyn. Charlotte remarked, \"Evelyn is a knight or Mia is a knave\". According to Mia, \"Charlotte is a knight\". Evelyn remarked, \"Charlotte is a knave if and only if Mia is a knave\". So who is a knight and who is a knave?", "names": ["Charlotte", "Mia", "Evelyn"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Charlotte is a knight, Mia is a knight, and Evelyn is a knight.", "solution_text_format": "(1) Charlotte is a knight\n(2) Mia is a knight\n(3) 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 Charlotte is a knight. No contradiction is found in their claim that Evelyn is a knight or Mia is a knave.", "Assume Evelyn is a knight. No contradiction is found in their claim that Charlotte is a knave if and only if Mia is a knave.", "Assume Mia is a knight. No contradiction is found in their claim that Charlotte is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 2), ('lying', 1)), ('telling-truth', 0), ('<=>', ('lying', 0), ('lying', 1)))", "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 3 inhabitants: Grace, Penelope, and Charlotte. \"If Penelope is a knight then Penelope is a knave,\" Grace claimed. In Penelope's words: \"Grace is a knave or Grace is a knight\". Charlotte asserted: \"Penelope is a knave\". So who is a knight and who is a knave?", "names": ["Grace", "Penelope", "Charlotte"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Grace is a knave, Penelope is a knight, and Charlotte is a knave.", "solution_text_format": "(1) Grace is a knave\n(2) Penelope is a knight\n(3) 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 Grace 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 Grace 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 Grace is a knave or Grace is a knight.", "We have exhausted all possibilities for Penelope, so let us go back and reconsider Grace.", "Assume Grace 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 Grace is a knave or Grace is a knight.", "Charlotte cannot be a knight, because this would contradict the claim of their own that Penelope is a knave.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Penelope is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 1), ('lying', 1)), ('or', ('lying', 0), ('telling-truth', 0)), ('lying', 1))", "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 3 inhabitants: Elizabeth, Scarlett, and Charlotte. In a statement by Elizabeth: \"Charlotte is a knight\". Scarlett stated, \"Charlotte is a knave\". Charlotte commented, \"Elizabeth is a knight or Scarlett is a knight\". So who is a knight and who is a knave?", "names": ["Elizabeth", "Scarlett", "Charlotte"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Elizabeth is a knight, Scarlett is a knave, and Charlotte is a knight.", "solution_text_format": "(1) Elizabeth is a knight\n(2) Scarlett is a knave\n(3) 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 Elizabeth 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 Elizabeth is a knight or Scarlett is a knight.", "Scarlett cannot be a knight, because this would contradict the claim of their own that Charlotte is a knave.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Charlotte is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 2), ('lying', 2), ('or', ('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 3 inhabitants: Olivia, Harper, and Ethan. Olivia said, \"Olivia is a knight or Harper is a knave.\" Harper stated, \"Ethan is a knave if and only if Olivia is a knight\". In a statement by Ethan: \"Harper is a knight\". So who is a knight and who is a knave?", "names": ["Olivia", "Harper", "Ethan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Olivia is a knave, Harper is a knight, and Ethan is a knight.", "solution_text_format": "(1) Olivia is a knave\n(2) Harper is a knight\n(3) 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 Olivia is a knight. No contradiction is found in their claim that Olivia is a knight or Harper is a knave.", "Assume Harper is a knight. No contradiction is found in their claim that Ethan is a knave if and only if Olivia is a knight.", "Ethan cannot be a knight, because this would contradict the claim of Harper that Ethan is a knave if and only if Olivia is a knight.", "Ethan 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 Ethan, so let us go back and reconsider Harper.", "Assume Harper is a knave. No contradiction is found in their false claim that Ethan is a knave if and only if Olivia is a knight.", "Ethan cannot be a knight, because this would contradict the claim of their own that Harper is a knight.", "Ethan cannot be a knave, because this would contradict the false claim of Harper that Ethan is a knave if and only if Olivia is a knight.", "We have exhausted all possibilities for Ethan and Harper, 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 or Harper is a knave.", "Assume Harper is a knight. No contradiction is found in their claim that Ethan is a knave if and only if Olivia 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": "(('or', ('telling-truth', 0), ('lying', 1)), ('<=>', ('lying', 2), ('telling-truth', 0)), ('telling-truth', 1))", "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 3 inhabitants: Evelyn, Joseph, and Emily. \"Joseph is a knight if and only if Emily is a knave\" - Evelyn. Joseph told you that Emily is a knight. According to Emily, \"Joseph is a knight or Evelyn is a knave\". So who is a knight and who is a knave?", "names": ["Evelyn", "Joseph", "Emily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Evelyn is a knave, Joseph is a knight, and Emily is a knight.", "solution_text_format": "(1) Evelyn is a knave\n(2) Joseph is a knight\n(3) 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 Evelyn is a knight. No contradiction is found in their claim that Joseph is a knight if and only if Emily is a knave.", "Assume Joseph is a knight. No contradiction is found in their claim that Emily is a knight.", "Emily cannot be a knight, because this would contradict the claim of Evelyn that Joseph is a knight if and only if Emily is a knave.", "Emily cannot be a knave, because this would contradict the claim of Joseph that Emily is a knight.", "We have exhausted all possibilities for Emily, so let us go back and reconsider Joseph.", "Assume Joseph 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 Joseph that Emily is a knight.", "Emily cannot be a knave, because this would contradict the claim of Evelyn that Joseph is a knight if and only if Emily is a knave.", "We have exhausted all possibilities for Emily and Joseph, so let us go back and reconsider Evelyn.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Joseph is a knight if and only if Emily is a knave.", "Assume Joseph 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 Joseph is a knight or Evelyn is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('lying', 2)), ('telling-truth', 2), ('or', ('telling-truth', 1), ('lying', 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 3 inhabitants: Scarlett, Ava, and Benjamin. Scarlett was heard saying, \"Benjamin is a knight\". Ava expressed that Scarlett is a knave and Scarlett is a knight. In Benjamin's words: \"Benjamin is a knight if and only if Scarlett is a knave\". So who is a knight and who is a knave?", "names": ["Scarlett", "Ava", "Benjamin"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false], "solution_text": "Scarlett is a knave, Ava is a knave, and Benjamin is a knave.", "solution_text_format": "(1) Scarlett is a knave\n(2) Ava is a knave\n(3) 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 Scarlett 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 Benjamin is a knight if and only if Scarlett is a knave.", "Benjamin cannot be a knave, because this would contradict the claim of Scarlett that Benjamin is a knight.", "We have exhausted all possibilities for 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.", "Benjamin cannot be a knight, because this would contradict the false claim of Scarlett that Benjamin is a knight.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Benjamin is a knight if and only if Scarlett is a knave.", "Ava cannot be a knight, because this would contradict the claim of their own that Scarlett is a knave and Scarlett is a knight.", "Assume Ava is a knave. No contradiction is found in their false claim that Scarlett is a knave and Scarlett is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 2), ('and', ('lying', 0), ('telling-truth', 0)), ('<=>', ('telling-truth', 2), ('lying', 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 3 inhabitants: Daniel, Isabella, and Victoria. \"Daniel is a knight if and only if Isabella is a knight,\" Daniel declared. \"Daniel is a knight\" - Isabella. Victoria told you that Isabella is a knave and Isabella is a knight. So who is a knight and who is a knave?", "names": ["Daniel", "Isabella", "Victoria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Daniel is a knight, Isabella is a knight, and Victoria is a knave.", "solution_text_format": "(1) Daniel is a knight\n(2) Isabella is a knight\n(3) 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 Daniel is a knight. No contradiction is found in their claim that Daniel is a knight if and only if Isabella is a knight.", "Assume Isabella is a knight. No contradiction is found in their claim that Daniel is a knight.", "Victoria cannot be a knight, because this would contradict the claim of their own that Isabella is a knave and Isabella is a knight.", "Assume Victoria is a knave. No contradiction is found in their false claim that Isabella is a knave and Isabella is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 0), ('telling-truth', 1)), ('telling-truth', 0), ('and', ('lying', 1), ('telling-truth', 1)))", "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 3 inhabitants: Liam, Luke, and Matthew. Liam remarked, \"Matthew is a knave if and only if Luke is a knave\". Luke remarked, \"If Matthew is a knight then Matthew is a knave\". \"Luke is a knight or Luke is a knave,\" Matthew declared. So who is a knight and who is a knave?", "names": ["Liam", "Luke", "Matthew"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Liam is a knave, Luke is a knave, and Matthew is a knight.", "solution_text_format": "(1) Liam is a knave\n(2) Luke is a knave\n(3) 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 Liam is a knight. No contradiction is found in their claim that Matthew is a knave if and only if Luke is a knave.", "Assume Matthew is a knight. No contradiction is found in their claim that Luke is a knight or Luke is a knave.", "Luke cannot be a knight, because this would contradict the claim of their own that If Matthew is a knight then Matthew is a knave.", "Luke cannot be a knave, because this would contradict the claim of Liam that Matthew 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 Matthew.", "Matthew cannot be a knave, because this would contradict the false claim of their own that Luke is a knight or Luke is a knave.", "We have exhausted all possibilities for Matthew, so let us go back and reconsider Liam.", "Assume Liam is a knave. No contradiction is found in their false claim that Matthew is a knave if and only if Luke is a knave.", "Assume Matthew is a knight. No contradiction is found in their claim that Luke is a knight or Luke is a knave.", "Luke cannot be a knight, because this would contradict the false claim of Liam that Matthew is a knave if and only if Luke is a knave.", "Assume Luke is a knave. No contradiction is found in their false claim that If Matthew is a knight then Matthew is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 2), ('lying', 1)), ('->', ('telling-truth', 2), ('lying', 2)), ('or', ('telling-truth', 1), ('lying', 1)))", "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 3 inhabitants: Noah, Amelia, and Isabella. Noah remarked, \"Isabella is a knight if and only if Isabella is a knave\". Amelia remarked, \"Noah is not a knave\". Isabella stated, \"Amelia is a knave or Isabella is a knight\". So who is a knight and who is a knave?", "names": ["Noah", "Amelia", "Isabella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Noah is a knave, Amelia is a knave, and Isabella is a knight.", "solution_text_format": "(1) Noah is a knave\n(2) Amelia is a knave\n(3) 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": ["Noah cannot be a knight, because this would contradict the claim of their own that Isabella is a knight if and only if Isabella is a knave.", "Assume Noah is a knave. No contradiction is found in their false claim that Isabella is a knight if and only if Isabella is a knave.", "Assume Isabella is a knight. No contradiction is found in their claim that Amelia is a knave or Isabella is a knight.", "Amelia cannot be a knight, because this would contradict the claim of their own that Noah is not a knave.", "Assume Amelia 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', 2), ('lying', 2)), ('not', ('lying', 0)), ('or', ('lying', 1), ('telling-truth', 2)))", "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 3 inhabitants: Riley, Mia, and Matthew. Riley remarked, \"Mia is a knave or Matthew is a knave\". Mia asserted: \"Matthew is a knight\". \"Matthew is a knight and Riley is a knight,\" Matthew declared. So who is a knight and who is a knave?", "names": ["Riley", "Mia", "Matthew"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false], "solution_text": "Riley is a knight, Mia is a knave, and Matthew is a knave.", "solution_text_format": "(1) Riley is a knight\n(2) Mia is a knave\n(3) 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 Riley is a knight. No contradiction is found in their claim that Mia is a knave or Matthew is a knave.", "Assume Mia is a knight. No contradiction is found in their claim that Matthew is a knight.", "Matthew cannot be a knight, because this would contradict the claim of Riley that Mia is a knave or Matthew is a knave.", "Matthew cannot be a knave, because this would contradict the claim of Mia that Matthew is a knight.", "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 a knight.", "Matthew cannot be a knight, because this would contradict the false claim of Mia that Matthew is a knight.", "Assume Matthew is a knave. No contradiction is found in their false claim that Matthew is a knight and Riley is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('lying', 2)), ('telling-truth', 2), ('and', ('telling-truth', 2), ('telling-truth', 0)))", "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 3 inhabitants: Aurora, Charlotte, and Jack. Aurora noted, \"Jack is a knight or Charlotte is a knave\". According to Charlotte, \"Aurora is not a knight\". Jack commented, \"Aurora is not a knight\". So who is a knight and who is a knave?", "names": ["Aurora", "Charlotte", "Jack"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false], "solution_text": "Aurora is a knight, Charlotte is a knave, and Jack is a knave.", "solution_text_format": "(1) Aurora is a knight\n(2) Charlotte is a knave\n(3) 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 Aurora is a knight. No contradiction is found in their claim that Jack is a knight or Charlotte is a knave.", "Jack cannot be a knight, because this would contradict the claim of their own that Aurora is not a knight.", "Assume Jack is a knave. No contradiction is found in their false claim that Aurora is not a knight.", "Charlotte cannot be a knight, because this would contradict the claim of Aurora that Jack is a knight or Charlotte is a knave.", "Assume Charlotte 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": "(('or', ('telling-truth', 2), ('lying', 1)), ('not', ('telling-truth', 0)), ('not', ('telling-truth', 0)))", "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 3 inhabitants: Scarlett, Jacob, and Aiden. Scarlett remarked, \"Aiden is a knight or Scarlett is a knight\". \"Aiden is a knight or Scarlett is a knight\" - Jacob. \"Scarlett is a knave or Jacob is a knight\" - Aiden. So who is a knight and who is a knave?", "names": ["Scarlett", "Jacob", "Aiden"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Scarlett is a knight, Jacob is a knight, and Aiden is a knight.", "solution_text_format": "(1) Scarlett is a knight\n(2) Jacob is a knight\n(3) 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 Scarlett is a knight. No contradiction is found in their claim that Aiden is a knight or Scarlett is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that Scarlett is a knave or Jacob is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that Aiden is a knight or Scarlett is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 2), ('telling-truth', 0)), ('or', ('telling-truth', 2), ('telling-truth', 0)), ('or', ('lying', 0), ('telling-truth', 1)))", "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 3 inhabitants: Daniel, Sofia, and Liam. In a statement by Daniel: \"If Liam is a knight then Sofia is a knight\". \"Liam is a knave or Liam is a knight,\" Sofia mentioned. Liam asserted: \"Sofia is a knave\". So who is a knight and who is a knave?", "names": ["Daniel", "Sofia", "Liam"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Daniel is a knight, Sofia is a knight, and Liam is a knave.", "solution_text_format": "(1) Daniel is a knight\n(2) Sofia is a knight\n(3) 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 Daniel is a knight. No contradiction is found in their claim that If Liam is a knight then Sofia is a knight.", "Assume Liam 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 Liam that Sofia is a knave.", "Sofia cannot be a knave, because this would contradict the claim of Daniel that If Liam is a knight then Sofia is a knight.", "We have exhausted all possibilities for 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 knave.", "Assume Sofia is a knight. No contradiction is found in their claim that Liam is a knave or Liam is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 2), ('telling-truth', 1)), ('or', ('lying', 2), ('telling-truth', 2)), ('lying', 1))", "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 3 inhabitants: Avery, Victoria, and Isabella. Avery remarked, \"Isabella is not a knave\". \"Avery is not a knave,\" Victoria declared. Isabella stated, \"Victoria is a knight or Avery is a knave\". So who is a knight and who is a knave?", "names": ["Avery", "Victoria", "Isabella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Avery is a knight, Victoria is a knight, and Isabella is a knight.", "solution_text_format": "(1) Avery is a knight\n(2) Victoria is a knight\n(3) 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 not a knave.", "Assume Isabella is a knight. No contradiction is found in their claim that Victoria is a knight or Avery is a knave.", "Assume Victoria 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": "(('not', ('lying', 2)), ('not', ('lying', 0)), ('or', ('telling-truth', 1), ('lying', 0)))", "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 3 inhabitants: Benjamin, Olivia, and Joseph. Benjamin told you that If Olivia is a knight then Olivia is a knave. \"Joseph is a knight or Benjamin is a knight,\" Olivia declared. Joseph asserted: \"Joseph is a knight or Benjamin is a knight\". So who is a knight and who is a knave?", "names": ["Benjamin", "Olivia", "Joseph"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Benjamin is a knave, Olivia is a knight, and Joseph is a knight.", "solution_text_format": "(1) Benjamin is a knave\n(2) Olivia is a knight\n(3) 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 Benjamin is a knight. No contradiction is found in their claim that If Olivia is a knight then Olivia is a knave.", "Olivia cannot be a knight, because this would contradict the claim of Benjamin that If Olivia is a knight then Olivia is a knave.", "Olivia cannot be a knave, because this would contradict the false claim of their own that Joseph is a knight or Benjamin is a knight.", "We have exhausted all possibilities for Olivia, so let us go back and reconsider Benjamin.", "Assume Benjamin is a knave. No contradiction is found in their false claim that If Olivia is a knight then Olivia is a knave.", "Assume Olivia is a knight. No contradiction is found in their claim that Joseph is a knight or Benjamin is a knight.", "Assume Joseph is a knight. No contradiction is found in their claim that Joseph is a knight or Benjamin is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 1), ('lying', 1)), ('or', ('telling-truth', 2), ('telling-truth', 0)), ('or', ('telling-truth', 2), ('telling-truth', 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 3 inhabitants: David, Mason, and Harper. \"If David is a knight then Mason is a knight,\" David mentioned. Mason stated, \"David is a knight\". Harper was heard saying, \"David is a knight or Harper is a knight\". So who is a knight and who is a knave?", "names": ["David", "Mason", "Harper"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "David is a knight, Mason is a knight, and Harper is a knight.", "solution_text_format": "(1) David is a knight\n(2) Mason is a knight\n(3) 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 David is a knight. No contradiction is found in their claim that If David is a knight then Mason is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that David is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that David is a knight or Harper is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 0), ('telling-truth', 1)), ('telling-truth', 0), ('or', ('telling-truth', 0), ('telling-truth', 2)))", "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 3 inhabitants: James, Sophia, and Evelyn. \"Evelyn is a knight or Evelyn is a knave\" - James. Sophia noted, \"Sophia is a knight and James is a knave\". In a statement by Evelyn: \"Sophia is a knight and James is a knave\". So who is a knight and who is a knave?", "names": ["James", "Sophia", "Evelyn"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false], "solution_text": "James is a knight, Sophia is a knave, and Evelyn is a knave.", "solution_text_format": "(1) James is a knight\n(2) Sophia is a knave\n(3) 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 James is a knight. No contradiction is found in their claim that Evelyn is a knight or Evelyn is a knave.", "Evelyn cannot be a knight, because this would contradict the claim of their own that Sophia is a knight and James is a knave.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Sophia is a knight and James is a knave.", "Sophia cannot be a knight, because this would contradict the claim of their own that Sophia is a knight and James is a knave.", "Assume Sophia is a knave. No contradiction is found in their false claim that Sophia is a knight and James is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 2), ('lying', 2)), ('and', ('telling-truth', 1), ('lying', 0)), ('and', ('telling-truth', 1), ('lying', 0)))", "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 3 inhabitants: Owen, William, and Aurora. Owen stated, \"Aurora is a knight or William is a knight\". William stated, \"If Owen is a knight then Owen is a knave\". Aurora remarked, \"If William is a knight then Owen is a knight\". So who is a knight and who is a knave?", "names": ["Owen", "William", "Aurora"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Owen is a knight, William is a knave, and Aurora is a knight.", "solution_text_format": "(1) Owen is a knight\n(2) William is a knave\n(3) 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 Owen is a knight. No contradiction is found in their claim that Aurora is a knight or William is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that If William is a knight then Owen is a knight.", "William 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 William is a knave. No contradiction is found in their false claim that If Owen is a knight then Owen is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 2), ('telling-truth', 1)), ('->', ('telling-truth', 0), ('lying', 0)), ('->', ('telling-truth', 1), ('telling-truth', 0)))", "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 3 inhabitants: Noah, Jacob, and Sophia. In a statement by Noah: \"If Sophia is a knight then Jacob is a knight\". Jacob expressed that If Sophia is a knave then Noah is a knight. Sophia said that Noah is a knight or Sophia is a knight. So who is a knight and who is a knave?", "names": ["Noah", "Jacob", "Sophia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Noah is a knight, Jacob is a knight, and Sophia is a knight.", "solution_text_format": "(1) Noah is a knight\n(2) Jacob is a knight\n(3) 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 If Sophia is a knight then Jacob is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that Noah is a knight or Sophia is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that If Sophia is a knave then Noah is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 2), ('telling-truth', 1)), ('->', ('lying', 2), ('telling-truth', 0)), ('or', ('telling-truth', 0), ('telling-truth', 2)))", "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 3 inhabitants: Charlotte, Henry, and Riley. Charlotte remarked, \"Henry is a knight\". Henry asserted: \"Charlotte is a knave if and only if Henry is a knight\". Riley commented, \"If Henry is a knave then Charlotte is a knight\". So who is a knight and who is a knave?", "names": ["Charlotte", "Henry", "Riley"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false], "solution_text": "Charlotte is a knave, Henry is a knave, and Riley is a knave.", "solution_text_format": "(1) Charlotte is a knave\n(2) Henry is a knave\n(3) 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 Charlotte 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 Charlotte is a knave if and only if Henry is a knight.", "Henry cannot be a knave, because this would contradict the claim of Charlotte that Henry is a knight.", "We have exhausted all possibilities for 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.", "Henry cannot be a knight, because this would contradict the false claim of Charlotte that Henry is a knight.", "Assume Henry is a knave. No contradiction is found in their false claim that Charlotte is a knave if and only if Henry is a knight.", "Riley cannot be a knight, because this would contradict the claim of their own that If Henry is a knave then Charlotte is a knight.", "Assume Riley is a knave. No contradiction is found in their false claim that If Henry is a knave then Charlotte is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 1), ('<=>', ('lying', 0), ('telling-truth', 1)), ('->', ('lying', 1), ('telling-truth', 0)))", "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 3 inhabitants: Jack, Mason, and Daniel. Jack said that Daniel is a knave if and only if Daniel is a knight. Mason remarked, \"Daniel is a knight if and only if Mason is a knight\". Daniel stated, \"Jack is a knight if and only if Mason is a knave\". So who is a knight and who is a knave?", "names": ["Jack", "Mason", "Daniel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Jack is a knave, Mason is a knight, and Daniel is a knight.", "solution_text_format": "(1) Jack is a knave\n(2) Mason is a knight\n(3) 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": ["Jack cannot be a knight, because this would contradict the claim of their own that Daniel is a knave if and only if Daniel is a knight.", "Assume Jack is a knave. No contradiction is found in their false claim that Daniel is a knave if and only if Daniel is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that Jack is a knight if and only if 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 Mason is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 2), ('telling-truth', 2)), ('<=>', ('telling-truth', 2), ('telling-truth', 1)), ('<=>', ('telling-truth', 0), ('lying', 1)))", "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 3 inhabitants: Lucas, Evelyn, and Jack. Lucas told you that Evelyn is a knight if and only if Jack is a knight. In Evelyn's words: \"Evelyn is a knight or Jack is a knight\". \"If Evelyn is a knight then Evelyn is a knave,\" Jack declared. So who is a knight and who is a knave?", "names": ["Lucas", "Evelyn", "Jack"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Lucas is a knave, Evelyn is a knight, and Jack is a knave.", "solution_text_format": "(1) Lucas is a knave\n(2) Evelyn is a knight\n(3) 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 Lucas is a knight. No contradiction is found in their claim that Evelyn is a knight if and only if Jack is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that Evelyn is a knight or Jack is a knight.", "Jack cannot be a knight, because this would contradict the claim of their own that If Evelyn is a knight then Evelyn is a knave.", "Jack cannot be a knave, because this would contradict the claim of Lucas that Evelyn 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 Evelyn is a knight or Jack is a knight.", "Jack cannot be a knight, because this would contradict the claim of Lucas that Evelyn 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 Evelyn is a knight then Evelyn is a knave.", "We have exhausted all possibilities for Jack and Evelyn, so let us go back and reconsider Lucas.", "Assume Lucas is a knave. No contradiction is found in their false claim that Evelyn is a knight if and only if Jack is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that Evelyn is a knight or Jack is a knight.", "Jack cannot be a knight, because this would contradict the false claim of Lucas that Evelyn 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 If Evelyn is a knight then Evelyn is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('telling-truth', 2)), ('or', ('telling-truth', 1), ('telling-truth', 2)), ('->', ('telling-truth', 1), ('lying', 1)))", "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 3 inhabitants: Logan, Michael, and Alexander. Logan noted, \"Alexander is a knave if and only if Logan is a knight\". Michael stated, \"Logan is a knave\". \"Logan is a knave and Michael is a knight,\" Alexander declared. So who is a knight and who is a knave?", "names": ["Logan", "Michael", "Alexander"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false], "solution_text": "Logan is a knight, Michael is a knave, and Alexander is a knave.", "solution_text_format": "(1) Logan is a knight\n(2) Michael is a knave\n(3) 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 Logan is a knight. No contradiction is found in their claim that Alexander is a knave if and only if Logan is a knight.", "Alexander cannot be a knight, because this would contradict the claim of Logan that Alexander is a knave if and only if Logan is a knight.", "Assume Alexander is a knave. No contradiction is found in their false claim that Logan is a knave and Michael is a knight.", "Michael cannot be a knight, because this would contradict the claim of their own that Logan is a knave.", "Assume Michael is a knave. No contradiction is found in their false claim that Logan is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 2), ('telling-truth', 0)), ('lying', 0), ('and', ('lying', 0), ('telling-truth', 1)))", "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 3 inhabitants: Luke, Zoey, and Elizabeth. Luke remarked, \"Elizabeth is not a knave\". Zoey asserted: \"If Elizabeth is a knight then Luke is a knave\". According to Elizabeth, \"Elizabeth is a knight if and only if Zoey is a knave\". So who is a knight and who is a knave?", "names": ["Luke", "Zoey", "Elizabeth"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Luke is a knight, Zoey is a knave, and Elizabeth is a knight.", "solution_text_format": "(1) Luke is a knight\n(2) Zoey is a knave\n(3) 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 Luke 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 Elizabeth 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 If Elizabeth is a knight then Luke is a knave.", "Assume Zoey is a knave. No contradiction is found in their false claim that If Elizabeth is a knight then Luke is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 2)), ('->', ('telling-truth', 2), ('lying', 0)), ('<=>', ('telling-truth', 2), ('lying', 1)))", "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 3 inhabitants: Benjamin, Sophia, and Samuel. Benjamin commented, \"Samuel is a knight if and only if Samuel is a knave\". Sophia said, \"Samuel is a knave if and only if Benjamin is a knave.\" Samuel remarked, \"Sophia is a knight and Benjamin is a knight\". So who is a knight and who is a knave?", "names": ["Benjamin", "Sophia", "Samuel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Benjamin is a knave, Sophia is a knight, and Samuel is a knave.", "solution_text_format": "(1) Benjamin is a knave\n(2) Sophia is a knight\n(3) 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": ["Benjamin 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 Benjamin is a knave. No contradiction is found in their false claim that Samuel is a knight if and only if Samuel is a knave.", "Samuel cannot be a knight, because this would contradict the claim of their own that Sophia is a knight and Benjamin is a knight.", "Assume Samuel is a knave. No contradiction is found in their false claim that Sophia is a knight and Benjamin is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that Samuel is a knave if and only if Benjamin is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 2), ('lying', 2)), ('<=>', ('lying', 2), ('lying', 0)), ('and', ('telling-truth', 1), ('telling-truth', 0)))", "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 3 inhabitants: Mia, Oliver, and Zoey. Mia noted, \"Zoey is a knave if and only if Mia is a knight\". \"Mia is a knave,\" Oliver claimed. Zoey said that Oliver is a knight or Zoey is a knight. So who is a knight and who is a knave?", "names": ["Mia", "Oliver", "Zoey"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false], "solution_text": "Mia is a knight, Oliver is a knave, and Zoey is a knave.", "solution_text_format": "(1) Mia is a knight\n(2) Oliver is a knave\n(3) 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 Mia is a knight. No contradiction is found in their claim that Zoey is a knave if and only if Mia is a knight.", "Zoey cannot be a knight, because this would contradict the claim of Mia that Zoey is a knave if and only if Mia is a knight.", "Assume Zoey is a knave. No contradiction is found in their false claim that Oliver is a knight or Zoey is a knight.", "Oliver cannot be a knight, because this would contradict the claim of their own that Mia is a knave.", "Assume Oliver is a knave. No contradiction is found in their false claim that Mia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 2), ('telling-truth', 0)), ('lying', 0), ('or', ('telling-truth', 1), ('telling-truth', 2)))", "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 3 inhabitants: Michael, Mia, and Aiden. Michael asserted: \"Aiden is a knight\". Mia told you that Michael is a knave if and only if Mia is a knight. \"Mia is a knave or Aiden is a knight\" - Aiden. So who is a knight and who is a knave?", "names": ["Michael", "Mia", "Aiden"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Michael is a knave, Mia is a knight, and Aiden is a knave.", "solution_text_format": "(1) Michael is a knave\n(2) Mia is a knight\n(3) 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 Michael 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 Mia is a knave or Aiden is a knight.", "Mia 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 knight.", "Mia cannot be a knave, because this would contradict the false claim of their own that Michael is a knave if and only if Mia is a knight.", "We have exhausted all possibilities for Mia, so let us go back and reconsider Aiden.", "Aiden cannot be a knave, because this would contradict the claim of Michael that Aiden is a knight.", "We have exhausted all possibilities for Aiden, so let us go back and reconsider Michael.", "Assume Michael 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 Michael that Aiden is a knight.", "Assume Aiden is a knave. No contradiction is found in their false claim that Mia is a knave or Aiden is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that Michael is a knave if and only if Mia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 2), ('<=>', ('lying', 0), ('telling-truth', 1)), ('or', ('lying', 1), ('telling-truth', 2)))", "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 3 inhabitants: Aurora, Harper, and Amelia. Aurora stated, \"Amelia is a knave and Harper is a knave\". Harper noted, \"If Amelia is a knave then Amelia is a knight\". Amelia commented, \"Harper is a knight and Aurora is a knight\". So who is a knight and who is a knave?", "names": ["Aurora", "Harper", "Amelia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false], "solution_text": "Aurora is a knight, Harper is a knave, and Amelia is a knave.", "solution_text_format": "(1) Aurora is a knight\n(2) Harper is a knave\n(3) 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 Aurora is a knight. No contradiction is found in their claim that Amelia is a knave and Harper is a knave.", "Amelia cannot be a knight, because this would contradict the claim of Aurora that Amelia is a knave and Harper is a knave.", "Assume Amelia is a knave. No contradiction is found in their false claim that Harper is a knight and Aurora is a knight.", "Harper cannot be a knight, because this would contradict the claim of Aurora that Amelia is a knave and Harper is a knave.", "Assume Harper is a knave. No contradiction is found in their false claim that If Amelia is a knave then Amelia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('lying', 1)), ('->', ('lying', 2), ('telling-truth', 2)), ('and', ('telling-truth', 1), ('telling-truth', 0)))", "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 3 inhabitants: David, Daniel, and Evelyn. In David's words: \"Daniel is a knight and Evelyn is a knight\". Daniel commented, \"Evelyn is a knight if and only if David is a knight\". Evelyn said that Daniel is not a knave. So who is a knight and who is a knave?", "names": ["David", "Daniel", "Evelyn"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "David is a knight, Daniel is a knight, and Evelyn is a knight.", "solution_text_format": "(1) David is a knight\n(2) Daniel is a knight\n(3) 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 David is a knight. No contradiction is found in their claim that Daniel is a knight and Evelyn is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that Evelyn is a knight if and only if David is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that Daniel is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('telling-truth', 2)), ('<=>', ('telling-truth', 2), ('telling-truth', 0)), ('not', ('lying', 1)))", "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 3 inhabitants: Jackson, Avery, and Daniel. In a statement by Jackson: \"If Daniel is a knight then Avery is a knight\". \"Daniel is a knave or Avery is a knight,\" Avery declared. Daniel told you that If Daniel is a knight then Avery is a knave. So who is a knight and who is a knave?", "names": ["Jackson", "Avery", "Daniel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Jackson is a knave, Avery is a knave, and Daniel is a knight.", "solution_text_format": "(1) Jackson is a knave\n(2) Avery is a knave\n(3) 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 Jackson is a knight. No contradiction is found in their claim that If Daniel is a knight then Avery is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that If Daniel is a knight then Avery is a knave.", "Avery cannot be a knight, because this would contradict the claim of Daniel that If Daniel is a knight then Avery is a knave.", "Avery cannot be a knave, because this would contradict the claim of Jackson that If Daniel is a knight then Avery is a knight.", "We have exhausted all possibilities for 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 If Daniel is a knight then Avery is a knave.", "We have exhausted all possibilities for Daniel, so let us go back and reconsider Jackson.", "Assume Jackson is a knave. No contradiction is found in their false claim that If Daniel is a knight then Avery is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that If Daniel is a knight then Avery is a knave.", "Avery cannot be a knight, because this would contradict the false claim of Jackson that If Daniel is a knight then Avery is a knight.", "Assume Avery is a knave. No contradiction is found in their false claim that Daniel is a knave or Avery is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 2), ('telling-truth', 1)), ('or', ('lying', 2), ('telling-truth', 1)), ('->', ('telling-truth', 2), ('lying', 1)))", "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 3 inhabitants: Joseph, Emma, and Grace. Joseph told you that Emma is a knave. \"Grace is a knave or Grace is a knight,\" Emma claimed. Grace stated, \"If Emma is a knave then Joseph is a knight\". So who is a knight and who is a knave?", "names": ["Joseph", "Emma", "Grace"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Joseph is a knave, Emma is a knight, and Grace is a knight.", "solution_text_format": "(1) Joseph is a knave\n(2) Emma is a knight\n(3) 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 Joseph 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 Joseph that Emma is a knave.", "Emma cannot be a knave, because this would contradict the false claim of their own that Grace is a knave or Grace 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 Emma is a knave.", "Assume Emma 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 If Emma is a knave then Joseph is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('or', ('lying', 2), ('telling-truth', 2)), ('->', ('lying', 1), ('telling-truth', 0)))", "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 3 inhabitants: Ava, Ella, and Sebastian. \"Ella is a knight and Ella is a knave\" - Ava. As Ella put it, \"Ava is a knight and Ava is a knave\". Sebastian said that Ava is a knave. So who is a knight and who is a knave?", "names": ["Ava", "Ella", "Sebastian"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Ava is a knave, Ella is a knave, and Sebastian is a knight.", "solution_text_format": "(1) Ava is a knave\n(2) Ella is a knave\n(3) 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": ["Ava cannot be a knight, because this would contradict the claim of their own that Ella is a knight and Ella is a knave.", "Assume Ava is a knave. No contradiction is found in their false claim that Ella is a knight and Ella is a knave.", "Ella cannot be a knight, because this would contradict the claim of their own that Ava is a knight and Ava is a knave.", "Assume Ella is a knave. No contradiction is found in their false claim that Ava is a knight and Ava is a knave.", "Assume Sebastian is a knight. No contradiction is found in their claim that Ava is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('lying', 1)), ('and', ('telling-truth', 0), ('lying', 0)), ('lying', 0))", "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 3 inhabitants: Zoey, James, and Joseph. \"If Zoey is a knight then James is a knight,\" Zoey claimed. James asserted: \"Joseph is a knight\". Joseph was heard saying, \"James is a knave or Joseph is a knight\". So who is a knight and who is a knave?", "names": ["Zoey", "James", "Joseph"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Zoey is a knight, James is a knight, and Joseph is a knight.", "solution_text_format": "(1) Zoey is a knight\n(2) James is a knight\n(3) 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 Zoey is a knight. No contradiction is found in their claim that If Zoey is a knight then James is a knight.", "Assume James 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 James is a knave or Joseph is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 0), ('telling-truth', 1)), ('telling-truth', 2), ('or', ('lying', 1), ('telling-truth', 2)))", "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 3 inhabitants: Riley, Samuel, and Penelope. Riley said, \"Penelope is a knight and Samuel is a knight.\" \"Penelope is a knight if and only if Samuel is a knight\" - Samuel. Penelope said that If Penelope is a knight then Riley is a knight. So who is a knight and who is a knave?", "names": ["Riley", "Samuel", "Penelope"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Riley is a knight, Samuel is a knight, and Penelope is a knight.", "solution_text_format": "(1) Riley is a knight\n(2) Samuel is a knight\n(3) 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 Riley is a knight. No contradiction is found in their claim that Penelope is a knight and Samuel is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that If Penelope is a knight then Riley is a knight.", "Assume Samuel is a knight. No contradiction is found in their claim that Penelope is a knight if and only if Samuel is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 2), ('telling-truth', 1)), ('<=>', ('telling-truth', 2), ('telling-truth', 1)), ('->', ('telling-truth', 2), ('telling-truth', 0)))", "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 3 inhabitants: Samuel, Abigail, and Jackson. Samuel remarked, \"Jackson is a knight or Jackson is a knave\". Abigail said, \"Samuel is a knight if and only if Samuel is a knave.\" As Jackson put it, \"Samuel is not a knave\". So who is a knight and who is a knave?", "names": ["Samuel", "Abigail", "Jackson"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Samuel is a knight, Abigail is a knave, and Jackson is a knight.", "solution_text_format": "(1) Samuel is a knight\n(2) Abigail is a knave\n(3) 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 Samuel is a knight. No contradiction is found in their claim that Jackson is a knight or Jackson is a knave.", "Assume Jackson is a knight. No contradiction is found in their claim that Samuel is not a knave.", "Abigail 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 Abigail is a knave. No contradiction is found in their false claim that Samuel is a knight if and only if Samuel is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 2), ('lying', 2)), ('<=>', ('telling-truth', 0), ('lying', 0)), ('not', ('lying', 0)))", "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 3 inhabitants: Oliver, Sophia, and Alexander. Oliver commented, \"Sophia is a knight and Alexander is a knave\". According to Sophia, \"Oliver is a knight or Alexander is a knave\". \"Oliver is a knave and Oliver is a knight\" - Alexander. So who is a knight and who is a knave?", "names": ["Oliver", "Sophia", "Alexander"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Oliver is a knight, Sophia is a knight, and Alexander is a knave.", "solution_text_format": "(1) Oliver is a knight\n(2) Sophia is a knight\n(3) 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 Oliver is a knight. No contradiction is found in their claim that Sophia is a knight and Alexander is a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that Oliver is a knight or Alexander is a knave.", "Alexander cannot be a knight, because this would contradict the claim of Oliver that Sophia is a knight and Alexander is a knave.", "Assume Alexander is a knave. No contradiction is found in their false claim that Oliver is a knave and Oliver is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('lying', 2)), ('or', ('telling-truth', 0), ('lying', 2)), ('and', ('lying', 0), ('telling-truth', 0)))", "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 3 inhabitants: Matthew, Noah, and Charlotte. Matthew told you that If Noah is a knave then Matthew is a knight. Noah commented, \"Matthew is a knave if and only if Noah is a knight\". Charlotte commented, \"Matthew is a knight\". So who is a knight and who is a knave?", "names": ["Matthew", "Noah", "Charlotte"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false], "solution_text": "Matthew is a knave, Noah is a knave, and Charlotte is a knave.", "solution_text_format": "(1) Matthew is a knave\n(2) Noah is a knave\n(3) 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 Matthew is a knight. No contradiction is found in their claim that If Noah is a knave then Matthew is a knight.", "Noah cannot be a knight, because this would contradict the claim of their own that Matthew is a knave if and only if Noah is a knight.", "Noah cannot be a knave, because this would contradict the false claim of their own that Matthew is a knave if and only if Noah is a knight.", "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 If Noah is a knave then Matthew is a knight.", "Noah cannot be a knight, because this would contradict the false claim of Matthew that If Noah is a knave then Matthew is a knight.", "Assume Noah is a knave. No contradiction is found in their false claim that Matthew is a knave if and only if Noah is a knight.", "Charlotte cannot be a knight, because this would contradict the claim of their own that Matthew is a knight.", "Assume Charlotte 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": "(('->', ('lying', 1), ('telling-truth', 0)), ('<=>', ('lying', 0), ('telling-truth', 1)), ('telling-truth', 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 3 inhabitants: Avery, Aurora, and Noah. \"Noah is a knave if and only if Aurora is a knight,\" Avery mentioned. \"Aurora is a knight if and only if Noah is a knight\" - Aurora. Noah said that Aurora is a knave and Avery is a knight. So who is a knight and who is a knave?", "names": ["Avery", "Aurora", "Noah"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Avery is a knight, Aurora is a knave, and Noah is a knight.", "solution_text_format": "(1) Avery is a knight\n(2) Aurora is a knave\n(3) 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 Avery is a knight. No contradiction is found in their claim that Noah is a knave if and only if Aurora is a knight.", "Assume Noah is a knight. No contradiction is found in their claim that Aurora is a knave and Avery is a knight.", "Aurora cannot be a knight, because this would contradict the claim of Avery that Noah 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 Aurora is a knight if and only if Noah is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 2), ('telling-truth', 1)), ('<=>', ('telling-truth', 1), ('telling-truth', 2)), ('and', ('lying', 1), ('telling-truth', 0)))", "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 3 inhabitants: Ethan, Ava, and Penelope. In Ethan's words: \"Penelope is a knight\". Ava expressed that Penelope is a knave and Ethan is a knave. As Penelope put it, \"Ethan is a knave if and only if Ava is a knight\". So who is a knight and who is a knave?", "names": ["Ethan", "Ava", "Penelope"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Ethan is a knight, Ava is a knave, and Penelope is a knight.", "solution_text_format": "(1) Ethan is a knight\n(2) Ava is a knave\n(3) 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 Penelope is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that Ethan is a knave if and only if Ava is a knight.", "Ava cannot be a knight, because this would contradict the claim of their own that Penelope is a knave and Ethan is a knave.", "Assume Ava is a knave. No contradiction is found in their false claim that Penelope is a knave and Ethan is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 2), ('and', ('lying', 2), ('lying', 0)), ('<=>', ('lying', 0), ('telling-truth', 1)))", "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 3 inhabitants: Victoria, Alexander, and Emma. Victoria was heard saying, \"Alexander is a knight if and only if Emma is a knight\". \"Victoria is a knave and Emma is a knight,\" Alexander mentioned. Emma said, \"Emma is a knight and Alexander is a knight.\" So who is a knight and who is a knave?", "names": ["Victoria", "Alexander", "Emma"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false], "solution_text": "Victoria is a knight, Alexander is a knave, and Emma is a knave.", "solution_text_format": "(1) Victoria is a knight\n(2) Alexander is a knave\n(3) 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 Victoria is a knight. No contradiction is found in their claim that Alexander is a knight if and only if Emma is a knight.", "Alexander cannot be a knight, because this would contradict the claim of their own that Victoria is a knave and Emma is a knight.", "Assume Alexander is a knave. No contradiction is found in their false claim that Victoria is a knave and Emma is a knight.", "Emma cannot be a knight, because this would contradict the claim of Victoria that Alexander is a knight if and only if Emma is a knight.", "Assume Emma is a knave. No contradiction is found in their false claim that Emma is a knight and Alexander is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('telling-truth', 2)), ('and', ('lying', 0), ('telling-truth', 2)), ('and', ('telling-truth', 2), ('telling-truth', 1)))", "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 3 inhabitants: Aria, Jacob, and Jackson. Aria expressed that Jacob is a knave. Jacob said that Jackson is a knight or Jackson is a knave. In a statement by Jackson: \"Aria is a knave if and only if Jacob is a knight\". So who is a knight and who is a knave?", "names": ["Aria", "Jacob", "Jackson"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Aria is a knave, Jacob is a knight, and Jackson is a knight.", "solution_text_format": "(1) Aria is a knave\n(2) Jacob is a knight\n(3) 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 Aria 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 Aria that Jacob is a knave.", "Jacob cannot be a knave, because this would contradict the false claim of their own that Jackson is a knight or Jackson is 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 a knave.", "Assume Jacob is a knight. No contradiction is found in their claim that Jackson is a knight or Jackson is a knave.", "Assume Jackson is a knight. No contradiction is found in their claim that Aria is a knave if and only if Jacob is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('or', ('telling-truth', 2), ('lying', 2)), ('<=>', ('lying', 0), ('telling-truth', 1)))", "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 3 inhabitants: Noah, Henry, and Charlotte. Noah said, \"Charlotte is a knave and Henry is a knave.\" \"Henry is a knight if and only if Noah is a knave,\" Henry mentioned. Charlotte commented, \"Henry is a knight and Henry is a knave\". So who is a knight and who is a knave?", "names": ["Noah", "Henry", "Charlotte"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Noah is a knave, Henry is a knight, and Charlotte is a knave.", "solution_text_format": "(1) Noah is a knave\n(2) Henry is a knight\n(3) 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 Noah is a knight. No contradiction is found in their claim that Charlotte is a knave and Henry is a knave.", "Charlotte cannot be a knight, because this would contradict the claim of Noah that Charlotte is a knave and Henry is a knave.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Henry is a knight and Henry is a knave.", "Henry cannot be a knight, because this would contradict the claim of Noah that Charlotte is a knave and Henry is a knave.", "Henry cannot be a knave, because this would contradict the false claim of their own that Henry is a knight if and only if Noah is a knave.", "We have exhausted all possibilities for Henry and Charlotte, so let us go back and reconsider Noah.", "Assume Noah is a knave. No contradiction is found in their false claim that Charlotte is a knave and Henry is a knave.", "Charlotte cannot be a knight, because this would contradict the claim of their own that Henry is a knight and Henry is a knave.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Henry is a knight and 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 Noah is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('lying', 1)), ('<=>', ('telling-truth', 1), ('lying', 0)), ('and', ('telling-truth', 1), ('lying', 1)))", "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 3 inhabitants: Olivia, Logan, and Aiden. Olivia stated, \"If Olivia is a knight then Logan is a knight\". According to Logan, \"Olivia is a knave if and only if Aiden is a knight\". As Aiden put it, \"If Logan is a knight then Olivia is a knave\". So who is a knight and who is a knave?", "names": ["Olivia", "Logan", "Aiden"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Olivia is a knight, Logan is a knight, and Aiden is a knave.", "solution_text_format": "(1) Olivia is a knight\n(2) Logan is a knight\n(3) 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 Olivia is a knight. No contradiction is found in their claim that If Olivia 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 if and only if Aiden is a knight.", "Aiden cannot be a knight, because this would contradict the claim of Logan that Olivia 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 If Logan is a knight then Olivia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 0), ('telling-truth', 1)), ('<=>', ('lying', 0), ('telling-truth', 2)), ('->', ('telling-truth', 1), ('lying', 0)))", "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 3 inhabitants: Henry, Ava, and William. Henry said that William is a knight and William is a knave. Ava commented, \"William is a knave if and only if William is a knight\". \"Henry is a knight and Ava is a knave,\" William claimed. So who is a knight and who is a knave?", "names": ["Henry", "Ava", "William"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false], "solution_text": "Henry is a knave, Ava is a knave, and William is a knave.", "solution_text_format": "(1) Henry is a knave\n(2) Ava is a knave\n(3) 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": ["Henry cannot be a knight, because this would contradict the claim of their own that William is a knight and William is a knave.", "Assume Henry is a knave. No contradiction is found in their false claim that William is a knight and William is a knave.", "William cannot be a knight, because this would contradict the claim of their own that Henry is a knight and Ava is a knave.", "Assume William is a knave. No contradiction is found in their false claim that Henry is a knight and Ava is a knave.", "Ava cannot be a knight, because this would contradict the claim of their own that William is a knave if and only if William is a knight.", "Assume Ava is a knave. No contradiction is found in their false claim that William is a knave if and only if William is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 2), ('lying', 2)), ('<=>', ('lying', 2), ('telling-truth', 2)), ('and', ('telling-truth', 0), ('lying', 1)))", "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 3 inhabitants: Owen, Victoria, and Riley. Owen stated, \"Riley is a knight and Victoria is a knight\". Victoria asserted: \"Owen is a knave and Riley is a knight\". Riley commented, \"Riley is a knight and Victoria is a knave\". So who is a knight and who is a knave?", "names": ["Owen", "Victoria", "Riley"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false], "solution_text": "Owen is a knave, Victoria is a knave, and Riley is a knave.", "solution_text_format": "(1) Owen is a knave\n(2) Victoria is a knave\n(3) 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 Owen is a knight. No contradiction is found in their claim that Riley is a knight and Victoria is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that Riley is a knight and Victoria is a knave.", "Victoria cannot be a knight, because this would contradict the claim of their own that Owen is a knave and Riley is a knight.", "Victoria cannot be a knave, because this would contradict the claim of Owen that Riley is a knight and Victoria is a knight.", "We have exhausted all possibilities for Victoria, so let us go back and reconsider Riley.", "Riley cannot be a knave, because this would contradict the claim of Owen that Riley is a knight and Victoria is a knight.", "We have exhausted all possibilities for Riley, 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 and Victoria is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that Riley is a knight and Victoria is a knave.", "Victoria cannot be a knight, because this would contradict the false claim of Owen that Riley is a knight and Victoria is a knight.", "Victoria cannot be a knave, because this would contradict the false claim of their own that Owen is a knave and Riley is a knight.", "We have exhausted all possibilities for Victoria, so let us go back and reconsider Riley.", "Assume Riley is a knave. No contradiction is found in their false claim that Riley is a knight and Victoria is a knave.", "Victoria cannot be a knight, because this would contradict the claim of their own that Owen is a knave and Riley is a knight.", "Assume Victoria is a knave. No contradiction is found in their false claim that Owen is a knave and Riley is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 2), ('telling-truth', 1)), ('and', ('lying', 0), ('telling-truth', 2)), ('and', ('telling-truth', 2), ('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 3 inhabitants: William, Mia, and Emily. William commented, \"If Emily is a knave then Emily is a knight\". Mia remarked, \"William is a knave\". According to Emily, \"Mia is a knight if and only if William is a knight\". So who is a knight and who is a knave?", "names": ["William", "Mia", "Emily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "William is a knave, Mia is a knight, and Emily is a knave.", "solution_text_format": "(1) William is a knave\n(2) Mia is a knight\n(3) 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 William is a knight. No contradiction is found in their claim that If Emily is a knave then Emily is a knight.", "Assume Emily is a knight. No contradiction is found in their claim that Mia is a knight if and only if William is a knight.", "Mia cannot be a knight, because this would contradict the claim of their own that William is a knave.", "Mia cannot be a knave, because this would contradict the claim of Emily that Mia is a knight if and only if William 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 William that If Emily is a knave then Emily is a knight.", "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 If Emily is a knave then Emily is a knight.", "Emily cannot be a knight, because this would contradict the false claim of William that If Emily is a knave then Emily is a knight.", "Assume Emily is a knave. No contradiction is found in their false claim that Mia is a knight if and only if William is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that William is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 2), ('telling-truth', 2)), ('lying', 0), ('<=>', ('telling-truth', 1), ('telling-truth', 0)))", "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 3 inhabitants: Alexander, Sofia, and Lily. According to Alexander, \"Lily is a knave if and only if Sofia is a knave\". According to Sofia, \"Alexander is a knave or Lily is a knight\". \"Alexander is a knight or Sofia is a knight,\" Lily declared. So who is a knight and who is a knave?", "names": ["Alexander", "Sofia", "Lily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Alexander is a knight, Sofia is a knight, and Lily is a knight.", "solution_text_format": "(1) Alexander is a knight\n(2) Sofia is a knight\n(3) 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 Alexander is a knight. No contradiction is found in their claim that Lily is a knave if and only if Sofia is a knave.", "Assume Lily is a knight. No contradiction is found in their claim that Alexander is a knight or Sofia is a knight.", "Assume Sofia is a knight. No contradiction is found in their claim that Alexander is a knave or Lily is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 2), ('lying', 1)), ('or', ('lying', 0), ('telling-truth', 2)), ('or', ('telling-truth', 0), ('telling-truth', 1)))", "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 3 inhabitants: Victoria, William, and Mia. Victoria told you that Mia is a knight and William is a knight. William remarked, \"Victoria is a knave if and only if Victoria is a knight\". Mia said, \"William is a knave.\" So who is a knight and who is a knave?", "names": ["Victoria", "William", "Mia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Victoria is a knave, William is a knave, and Mia is a knight.", "solution_text_format": "(1) Victoria is a knave\n(2) William is a knave\n(3) 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 Victoria is a knight. No contradiction is found in their claim that Mia is a knight and William is a knight.", "Assume Mia 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 their own that Victoria is a knave if and only if Victoria is a knight.", "William cannot be a knave, because this would contradict the claim of Victoria that Mia is a knight and William is a knight.", "We have exhausted all possibilities for William, so let us go back and reconsider Mia.", "Mia cannot be a knave, because this would contradict the claim of Victoria that Mia is a knight and William 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 Mia is a knight and William is a knight.", "Assume Mia 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 false claim of Victoria that Mia is a knight and William is a knight.", "Assume William is a knave. No contradiction is found in their false claim that Victoria is a knave if and only if Victoria is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 2), ('telling-truth', 1)), ('<=>', ('lying', 0), ('telling-truth', 0)), ('lying', 1))", "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 3 inhabitants: Henry, Logan, and Liam. \"If Logan is a knave then Liam is a knave,\" Henry claimed. Logan said that Henry is a knight or Henry is a knave. According to Liam, \"If Logan is a knight then Henry is a knight\". So who is a knight and who is a knave?", "names": ["Henry", "Logan", "Liam"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Henry is a knight, Logan is a knight, and Liam is a knight.", "solution_text_format": "(1) Henry is a knight\n(2) Logan is a knight\n(3) 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 Henry is a knight. No contradiction is found in their claim that If Logan is a knave then Liam is a knave.", "Assume Logan is a knight. No contradiction is found in their claim that Henry is a knight or Henry is a knave.", "Assume Liam is a knight. No contradiction is found in their claim that If Logan is a knight then Henry is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 1), ('lying', 2)), ('or', ('telling-truth', 0), ('lying', 0)), ('->', ('telling-truth', 1), ('telling-truth', 0)))", "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 3 inhabitants: Aria, Ava, and Olivia. Aria stated, \"If Ava is a knight then Olivia is a knave\". \"Olivia is a knave\" - Ava. Olivia said, \"Ava is a knave if and only if Olivia is a knight.\" So who is a knight and who is a knave?", "names": ["Aria", "Ava", "Olivia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Aria is a knight, Ava is a knave, and Olivia is a knight.", "solution_text_format": "(1) Aria is a knight\n(2) Ava is a knave\n(3) 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 Aria is a knight. No contradiction is found in their claim that If Ava is a knight then Olivia is a knave.", "Assume Ava 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 Aria that If Ava is a knight then Olivia is a knave.", "Olivia cannot be a knave, because this would contradict the false claim of their own that Ava 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 Ava.", "Assume Ava 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 Ava is a knave if and only if Olivia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 1), ('lying', 2)), ('lying', 2), ('<=>', ('lying', 1), ('telling-truth', 2)))", "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 3 inhabitants: Avery, Scarlett, and Oliver. In a statement by Avery: \"If Avery is a knight then Oliver is a knave\". Scarlett noted, \"Avery is not a knight\". Oliver remarked, \"Avery is a knave and Avery is a knight\". So who is a knight and who is a knave?", "names": ["Avery", "Scarlett", "Oliver"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false], "solution_text": "Avery is a knight, Scarlett is a knave, and Oliver is a knave.", "solution_text_format": "(1) Avery is a knight\n(2) Scarlett is a knave\n(3) 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 Avery is a knight. No contradiction is found in their claim that If Avery is a knight then Oliver is a knave.", "Oliver cannot be a knight, because this would contradict the claim of Avery that If Avery is a knight then Oliver is a knave.", "Assume Oliver is a knave. No contradiction is found in their false claim that Avery is a knave and Avery is a knight.", "Scarlett cannot be a knight, because this would contradict the claim of their own that Avery is not a knight.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Avery is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 0), ('lying', 2)), ('not', ('telling-truth', 0)), ('and', ('lying', 0), ('telling-truth', 0)))", "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 3 inhabitants: Ava, Evelyn, and Amelia. \"If Ava is a knight then Evelyn is a knave,\" Ava declared. Evelyn remarked, \"Ava is not a knight\". Amelia said that Ava is a knave and Evelyn is a knave. So who is a knight and who is a knave?", "names": ["Ava", "Evelyn", "Amelia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false], "solution_text": "Ava is a knight, Evelyn is a knave, and Amelia is a knave.", "solution_text_format": "(1) Ava is a knight\n(2) Evelyn is a knave\n(3) 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 Ava is a knight then Evelyn is a knave.", "Evelyn cannot be a knight, because this would contradict the claim of Ava that If Ava is a knight then Evelyn is a knave.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Ava is not a knight.", "Amelia cannot be a knight, because this would contradict the claim of their own that Ava is a knave and Evelyn is a knave.", "Assume Amelia is a knave. No contradiction is found in their false claim that Ava is a knave and Evelyn is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 0), ('lying', 1)), ('not', ('telling-truth', 0)), ('and', ('lying', 0), ('lying', 1)))", "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 3 inhabitants: Avery, Luke, and Henry. Avery said, \"Avery is a knight if and only if Henry is a knight.\" Luke told you that Henry is a knave. \"If Luke is a knave then Avery is a knave,\" Henry declared. So who is a knight and who is a knave?", "names": ["Avery", "Luke", "Henry"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Avery is a knave, Luke is a knave, and Henry is a knight.", "solution_text_format": "(1) Avery is a knave\n(2) Luke is a knave\n(3) 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 Avery is a knight. No contradiction is found in their claim that Avery is a knight if and only if Henry is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that If Luke is a knave then Avery is a knave.", "Luke cannot be a knight, because this would contradict the claim of their own that Henry is a knave.", "Luke cannot be a knave, because this would contradict the claim of Henry that If Luke is a knave then Avery is a knave.", "We have exhausted all possibilities for Luke, so let us go back and reconsider Henry.", "Henry cannot be a knave, because this would contradict the claim of Avery that Avery is a knight if and only if Henry is a knight.", "We have exhausted all possibilities for Henry, so let us go back and reconsider Avery.", "Assume Avery is a knave. No contradiction is found in their false claim that Avery is a knight if and only if Henry is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that If Luke is a knave then Avery is a knave.", "Luke cannot be a knight, because this would contradict the claim of their own that Henry is a knave.", "Assume Luke 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": "(('<=>', ('telling-truth', 0), ('telling-truth', 2)), ('lying', 2), ('->', ('lying', 1), ('lying', 0)))", "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 3 inhabitants: Mason, Henry, and Harper. Mason commented, \"Harper is a knight if and only if Mason is a knight\". According to Henry, \"If Harper is a knight then Mason is a knave\". Harper was heard saying, \"Mason is a knave\". So who is a knight and who is a knave?", "names": ["Mason", "Henry", "Harper"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Mason is a knave, Henry is a knight, and Harper is a knight.", "solution_text_format": "(1) Mason is a knave\n(2) Henry is a knight\n(3) 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 Mason is a knight. No contradiction is found in their claim that Harper is a knight if and only if Mason is a knight.", "Harper cannot be a knight, because this would contradict the claim of their own that Mason is a knave.", "Harper cannot be a knave, because this would contradict the claim of Mason that Harper is a knight if and only if Mason is a knight.", "We have exhausted all possibilities for Harper, so let us go back and reconsider Mason.", "Assume Mason is a knave. No contradiction is found in their false claim that Harper is a knight if and only if Mason is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that Mason is a knave.", "Assume Henry is a knight. No contradiction is found in their claim that If Harper is a knight then Mason is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 2), ('telling-truth', 0)), ('->', ('telling-truth', 2), ('lying', 0)), ('lying', 0))", "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 3 inhabitants: Emma, Scarlett, and Victoria. \"Victoria is not a knight,\" Emma claimed. Scarlett told you that Emma is a knave and Scarlett is a knight. In a statement by Victoria: \"Scarlett is not a knight\". So who is a knight and who is a knave?", "names": ["Emma", "Scarlett", "Victoria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Emma is a knave, Scarlett is a knave, and Victoria is a knight.", "solution_text_format": "(1) Emma is a knave\n(2) Scarlett is a knave\n(3) 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 Emma 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 Emma that Victoria is not a knight.", "Assume Victoria is a knave. No contradiction is found in their false claim that Scarlett is not a knight.", "Scarlett cannot be a knight, because this would contradict the claim of their own that Emma is a knave and Scarlett is a knight.", "Scarlett cannot be a knave, because this would contradict the false claim of Victoria that Scarlett is not a knight.", "We have exhausted all possibilities for Scarlett and Victoria, so let us go back and reconsider Emma.", "Assume Emma 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 Scarlett is not a knight.", "Scarlett cannot be a knight, because this would contradict the claim of Victoria that Scarlett is not a knight.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Emma is a knave and Scarlett is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 2)), ('and', ('lying', 0), ('telling-truth', 1)), ('not', ('telling-truth', 1)))", "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 3 inhabitants: Samuel, Charlotte, and James. Samuel said that Charlotte is a knight if and only if Charlotte is a knave. \"Samuel is not a knave,\" Charlotte claimed. As James put it, \"Charlotte is not a knight\". So who is a knight and who is a knave?", "names": ["Samuel", "Charlotte", "James"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Samuel is a knave, Charlotte is a knave, and James is a knight.", "solution_text_format": "(1) Samuel is a knave\n(2) Charlotte is a knave\n(3) 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": ["Samuel 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 Samuel is a knave. No contradiction is found in their false claim that Charlotte is a knight if and only if Charlotte is 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.", "Assume James 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": "(('<=>', ('telling-truth', 1), ('lying', 1)), ('not', ('lying', 0)), ('not', ('telling-truth', 1)))", "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 3 inhabitants: Zoey, Harper, and Chloe. As Zoey put it, \"Harper is a knight and Chloe is a knave\". As Harper put it, \"Chloe is not a knight\". \"Zoey is a knight if and only if Harper is a knight,\" Chloe declared. So who is a knight and who is a knave?", "names": ["Zoey", "Harper", "Chloe"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Zoey is a knave, Harper is a knave, and Chloe is a knight.", "solution_text_format": "(1) Zoey is a knave\n(2) Harper is a knave\n(3) 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 Zoey is a knight. No contradiction is found in their claim that Harper is a knight and Chloe is a knave.", "Assume Harper 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 Zoey that Harper is a knight and Chloe is a knave.", "Chloe cannot be a knave, because this would contradict the false claim of their own that Zoey is a knight if and only if Harper is a knight.", "We have exhausted all possibilities for Chloe, so let us go back and reconsider Harper.", "Harper cannot be a knave, because this would contradict the claim of Zoey that Harper is a knight and Chloe is a knave.", "We have exhausted all possibilities for Harper, so let us go back and reconsider Zoey.", "Assume Zoey is a knave. No contradiction is found in their false claim that Harper is a knight and Chloe is a knave.", "Assume Harper 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 Harper that Chloe is not a knight.", "Chloe cannot be a knave, because this would contradict the false claim of Zoey that Harper is a knight and Chloe is a knave.", "We have exhausted all possibilities for Chloe, so let us go back and reconsider Harper.", "Assume Harper 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 Zoey is a knight if and only if Harper is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('lying', 2)), ('not', ('telling-truth', 2)), ('<=>', ('telling-truth', 0), ('telling-truth', 1)))", "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 3 inhabitants: Samuel, Amelia, and Elizabeth. Samuel commented, \"Amelia is not a knight\". Amelia commented, \"Elizabeth is not a knave\". \"Amelia is a knight if and only if Samuel is a knave,\" Elizabeth claimed. So who is a knight and who is a knave?", "names": ["Samuel", "Amelia", "Elizabeth"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Samuel is a knave, Amelia is a knight, and Elizabeth is a knight.", "solution_text_format": "(1) Samuel is a knave\n(2) Amelia is a knight\n(3) 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 Samuel is a knight. No contradiction is found in their claim that Amelia is not a knight.", "Amelia cannot be a knight, because this would contradict the claim of Samuel that Amelia is not a knight.", "Assume Amelia 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 Elizabeth is not a knave.", "Elizabeth cannot be a knave, because this would contradict the false claim of their own that Amelia is a knight if and only if Samuel is a knave.", "We have exhausted all possibilities for Elizabeth and Amelia, so let us go back and reconsider Samuel.", "Assume Samuel 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 Elizabeth is not a knave.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Amelia is a knight if and only if Samuel is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('not', ('lying', 2)), ('<=>', ('telling-truth', 1), ('lying', 0)))", "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 3 inhabitants: Benjamin, Daniel, and Harper. According to Benjamin, \"Harper is a knave and Daniel is a knave\". Daniel noted, \"Benjamin is a knave or Harper is a knave\". As Harper put it, \"Daniel is not a knight\". So who is a knight and who is a knave?", "names": ["Benjamin", "Daniel", "Harper"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Benjamin is a knave, Daniel is a knight, and Harper is a knave.", "solution_text_format": "(1) Benjamin is a knave\n(2) Daniel is a knight\n(3) 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 Benjamin is a knight. No contradiction is found in their claim that Harper is a knave and Daniel is a knave.", "Harper cannot be a knight, because this would contradict the claim of Benjamin that Harper is a knave and Daniel is a knave.", "Assume Harper 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 Benjamin that Harper is a knave and Daniel is a knave.", "Daniel cannot be a knave, because this would contradict the false claim of their own that Benjamin is a knave or Harper is a knave.", "We have exhausted all possibilities for Daniel and Harper, so let us go back and reconsider Benjamin.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Harper is a knave and Daniel is a knave.", "Assume Harper 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 Harper that Daniel is not a knight.", "Daniel cannot be a knave, because this would contradict the false claim of their own that Benjamin is a knave or Harper is a knave.", "We have exhausted all possibilities for Daniel, so let us go back and reconsider Harper.", "Assume Harper 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 Benjamin is a knave or Harper is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('lying', 1)), ('or', ('lying', 0), ('lying', 2)), ('not', ('telling-truth', 1)))", "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 3 inhabitants: Ethan, Avery, and Liam. \"Liam is a knave if and only if Liam is a knight,\" Ethan declared. Avery said, \"Liam is a knave or Ethan is a knave.\" Liam said that Ethan is a knave. So who is a knight and who is a knave?", "names": ["Ethan", "Avery", "Liam"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Ethan is a knave, Avery is a knight, and Liam is a knight.", "solution_text_format": "(1) Ethan is a knave\n(2) Avery is a knight\n(3) 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": ["Ethan cannot be a knight, because this would contradict the claim of their own that Liam is a knave if and only if Liam is a knight.", "Assume Ethan is a knave. No contradiction is found in their false claim that Liam is a knave if and only if Liam is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that Ethan is a knave.", "Assume Avery is a knight. No contradiction is found in their claim that Liam is a knave or Ethan is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 2), ('telling-truth', 2)), ('or', ('lying', 2), ('lying', 0)), ('lying', 0))", "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 3 inhabitants: Sophia, Mia, and Emily. In Sophia's words: \"Mia is a knave or Mia is a knight\". Mia said, \"Mia is a knight or Sophia is a knight.\" In Emily's words: \"Sophia is a knave or Sophia is a knight\". So who is a knight and who is a knave?", "names": ["Sophia", "Mia", "Emily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Sophia is a knight, Mia is a knight, and Emily is a knight.", "solution_text_format": "(1) Sophia is a knight\n(2) Mia is a knight\n(3) 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 Sophia 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 Mia is a knight or Sophia is a knight.", "Assume Emily is a knight. No contradiction is found in their claim that Sophia is a knave or Sophia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('telling-truth', 1)), ('or', ('telling-truth', 1), ('telling-truth', 0)), ('or', ('lying', 0), ('telling-truth', 0)))", "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 3 inhabitants: Jacob, Elizabeth, and Jackson. Jacob said that Jacob is a knight if and only if Jackson is a knight. \"If Jackson is a knave then Jackson is a knight,\" Elizabeth claimed. \"Elizabeth is a knight if and only if Jacob is a knave,\" Jackson claimed. So who is a knight and who is a knave?", "names": ["Jacob", "Elizabeth", "Jackson"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Jacob is a knave, Elizabeth is a knight, and Jackson is a knight.", "solution_text_format": "(1) Jacob is a knave\n(2) Elizabeth is a knight\n(3) 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 Jacob is a knight. No contradiction is found in their claim that Jacob is a knight if and only if Jackson is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that Elizabeth is a knight if and only if Jacob is a knave.", "Elizabeth cannot be a knight, because this would contradict the claim of Jackson that Elizabeth is a knight if and only if Jacob is a knave.", "Elizabeth cannot be a knave, because this would contradict the false claim of their own that If Jackson is a knave then Jackson is a knight.", "We have exhausted all possibilities for Elizabeth, so let us go back and reconsider Jackson.", "Jackson cannot be a knave, because this would contradict the claim of Jacob that Jacob is a knight if and only if Jackson is a knight.", "We have exhausted all possibilities for Jackson, 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 Jackson is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that Elizabeth is a knight if and only if Jacob is a knave.", "Assume Elizabeth is a knight. No contradiction is found in their claim that If Jackson is a knave then Jackson is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 0), ('telling-truth', 2)), ('->', ('lying', 2), ('telling-truth', 2)), ('<=>', ('telling-truth', 1), ('lying', 0)))", "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 3 inhabitants: Penelope, Scarlett, and Matthew. Penelope noted, \"Scarlett is a knave if and only if Matthew is a knave\". Scarlett remarked, \"Matthew is a knight or Penelope is a knight\". Matthew expressed that Scarlett is not a knave. So who is a knight and who is a knave?", "names": ["Penelope", "Scarlett", "Matthew"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Penelope is a knight, Scarlett is a knight, and Matthew is a knight.", "solution_text_format": "(1) Penelope is a knight\n(2) Scarlett is a knight\n(3) 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 Penelope is a knight. No contradiction is found in their claim that Scarlett is a knave if and only if Matthew is a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that Matthew is a knight or Penelope is a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that Scarlett is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('lying', 2)), ('or', ('telling-truth', 2), ('telling-truth', 0)), ('not', ('lying', 1)))", "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 3 inhabitants: Harper, Ava, and Lucas. Harper was heard saying, \"Ava is a knave if and only if Lucas is a knight\". Ava said that Lucas is a knave and Harper is a knave. In a statement by Lucas: \"Ava is a knave or Harper is a knight\". So who is a knight and who is a knave?", "names": ["Harper", "Ava", "Lucas"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Harper is a knight, Ava is a knave, and Lucas is a knight.", "solution_text_format": "(1) Harper is a knight\n(2) Ava is a knave\n(3) 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 Harper is a knight. No contradiction is found in their claim that Ava is a knave if and only if Lucas is a knight.", "Ava cannot be a knight, because this would contradict the claim of their own that Lucas is a knave and Harper is a knave.", "Assume Ava is a knave. No contradiction is found in their false claim that Lucas is a knave and Harper is a knave.", "Assume Lucas is a knight. No contradiction is found in their claim that Ava is a knave or Harper is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('telling-truth', 2)), ('and', ('lying', 2), ('lying', 0)), ('or', ('lying', 1), ('telling-truth', 0)))", "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 3 inhabitants: Zoey, Mason, and Riley. Zoey stated, \"Mason is a knave if and only if Riley is a knave\". As Mason put it, \"Mason is a knight and Riley is a knight\". Riley was heard saying, \"Zoey is a knave or Mason is a knave\". So who is a knight and who is a knave?", "names": ["Zoey", "Mason", "Riley"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Zoey is a knave, Mason is a knave, and Riley is a knight.", "solution_text_format": "(1) Zoey is a knave\n(2) Mason is a knave\n(3) 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 Zoey is a knight. No contradiction is found in their claim that Mason is a knave if and only if Riley is a knave.", "Assume Mason is a knight. No contradiction is found in their claim that Mason is a knight and Riley is a knight.", "Riley cannot be a knight, because this would contradict the claim of their own that Zoey is a knave or Mason is a knave.", "Riley cannot be a knave, because this would contradict the claim of Zoey that Mason is a knave if and only if Riley is a knave.", "We have exhausted all possibilities for Riley, so let us go back and reconsider Mason.", "Assume Mason is a knave. No contradiction is found in their false claim that Mason is a knight and Riley is a knight.", "Riley cannot be a knight, because this would contradict the claim of Zoey that Mason is a knave if and only if Riley is a knave.", "Riley cannot be a knave, because this would contradict the false claim of their own that Zoey is a knave or Mason is a knave.", "We have exhausted all possibilities for Riley 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 a knave if and only if Riley is a knave.", "Assume Mason is a knight. No contradiction is found in their claim that Mason is a knight and Riley is a knight.", "Riley cannot be a knight, because this would contradict the false claim of Zoey that Mason is a knave if and only if Riley is a knave.", "Riley cannot be a knave, because this would contradict the claim of Mason that Mason is a knight and Riley is a knight.", "We have exhausted all possibilities for Riley, so let us go back and reconsider Mason.", "Assume Mason 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 Zoey is a knave or Mason is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('lying', 2)), ('and', ('telling-truth', 1), ('telling-truth', 2)), ('or', ('lying', 0), ('lying', 1)))", "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 3 inhabitants: Amelia, Luke, and Abigail. \"Abigail is a knave or Luke is a knave\" - Amelia. \"Amelia is a knave or Luke is a knight,\" Luke claimed. Abigail stated, \"If Abigail is a knight then Luke is a knave\". So who is a knight and who is a knave?", "names": ["Amelia", "Luke", "Abigail"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Amelia is a knight, Luke is a knave, and Abigail is a knight.", "solution_text_format": "(1) Amelia is a knight\n(2) Luke is a knave\n(3) 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 Amelia is a knight. No contradiction is found in their claim that Abigail is a knave or Luke is a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that If Abigail is a knight then Luke is a knave.", "Luke cannot be a knight, because this would contradict the claim of Amelia that Abigail is a knave or Luke is a knave.", "Assume Luke is a knave. No contradiction is found in their false claim that Amelia is a knave or Luke is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 2), ('lying', 1)), ('or', ('lying', 0), ('telling-truth', 1)), ('->', ('telling-truth', 2), ('lying', 1)))", "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 3 inhabitants: Amelia, Logan, and Jacob. \"If Logan is a knave then Jacob is a knight,\" Amelia declared. Logan told you that If Amelia is a knave then Jacob is a knave. Jacob commented, \"Amelia is a knave\". So who is a knight and who is a knave?", "names": ["Amelia", "Logan", "Jacob"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Amelia is a knight, Logan is a knight, and Jacob is a knave.", "solution_text_format": "(1) Amelia is a knight\n(2) Logan is a knight\n(3) 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 Amelia is a knight. No contradiction is found in their claim that If Logan is a knave then Jacob is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that If Amelia is a knave then Jacob is a knave.", "Jacob cannot be a knight, because this would contradict the claim of their own that Amelia is a knave.", "Assume Jacob 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": "(('->', ('lying', 1), ('telling-truth', 2)), ('->', ('lying', 0), ('lying', 2)), ('lying', 0))", "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 3 inhabitants: William, Matthew, and Scarlett. William asserted: \"Matthew is a knave if and only if Scarlett is a knave\". Matthew asserted: \"Scarlett is a knave and William is a knight\". Scarlett told you that Scarlett is a knight if and only if Matthew is a knave. So who is a knight and who is a knave?", "names": ["William", "Matthew", "Scarlett"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "William is a knave, Matthew is a knave, and Scarlett is a knight.", "solution_text_format": "(1) William is a knave\n(2) Matthew is a knave\n(3) 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 William is a knight. No contradiction is found in their claim that Matthew is a knave if and only if Scarlett is a knave.", "Assume Matthew is a knight. No contradiction is found in their claim that Scarlett is a knave and William is a knight.", "Scarlett cannot be a knight, because this would contradict the claim of Matthew that Scarlett is a knave and William is a knight.", "Scarlett cannot be a knave, because this would contradict the claim of William that Matthew is a knave if and only if Scarlett is a knave.", "We have exhausted all possibilities for Scarlett, so let us go back and reconsider Matthew.", "Assume Matthew is a knave. No contradiction is found in their false claim that Scarlett is a knave and William is a knight.", "Scarlett cannot be a knight, because this would contradict the claim of William that Matthew is a knave if and only if Scarlett is a knave.", "Scarlett cannot be a knave, because this would contradict the false claim of Matthew that Scarlett is a knave and William is a knight.", "We have exhausted all possibilities for Scarlett 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 if and only if Scarlett is a knave.", "Matthew cannot be a knight, because this would contradict the claim of their own that Scarlett is a knave and William is a knight.", "Assume Matthew is a knave. No contradiction is found in their false claim that Scarlett is a knave and William is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that Scarlett is a knight if and only if Matthew is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('lying', 2)), ('and', ('lying', 2), ('telling-truth', 0)), ('<=>', ('telling-truth', 2), ('lying', 1)))", "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 3 inhabitants: Harper, Mason, and Riley. Harper was heard saying, \"Mason is a knight or Mason is a knave\". According to Mason, \"Riley is a knight and Harper is a knave\". \"If Riley is a knight then Harper is a knight,\" Riley declared. So who is a knight and who is a knave?", "names": ["Harper", "Mason", "Riley"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Harper is a knight, Mason is a knave, and Riley is a knight.", "solution_text_format": "(1) Harper is a knight\n(2) Mason is a knave\n(3) 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 Harper is a knight. No contradiction is found in their claim that Mason is a knight or Mason is a knave.", "Mason cannot be a knight, because this would contradict the claim of their own that Riley is a knight and Harper is a knave.", "Assume Mason is a knave. No contradiction is found in their false claim that Riley is a knight and Harper is a knave.", "Assume Riley is a knight. No contradiction is found in their claim that If Riley is a knight then Harper is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 1), ('lying', 1)), ('and', ('telling-truth', 2), ('lying', 0)), ('->', ('telling-truth', 2), ('telling-truth', 0)))", "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 3 inhabitants: Emily, Luke, and Jack. According to Emily, \"Luke is a knight or Luke is a knave\". According to Luke, \"Emily is a knight and Emily is a knave\". As Jack put it, \"Luke is not a knave\". So who is a knight and who is a knave?", "names": ["Emily", "Luke", "Jack"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false], "solution_text": "Emily is a knight, Luke is a knave, and Jack is a knave.", "solution_text_format": "(1) Emily is a knight\n(2) Luke is a knave\n(3) 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 Luke is a knight or Luke is a knave.", "Luke cannot be a knight, because this would contradict the claim of their own that Emily is a knight and Emily is a knave.", "Assume Luke is a knave. No contradiction is found in their false claim that Emily is a knight and Emily is a knave.", "Jack cannot be a knight, because this would contradict the claim of their own that Luke is not a knave.", "Assume Jack 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": "(('or', ('telling-truth', 1), ('lying', 1)), ('and', ('telling-truth', 0), ('lying', 0)), ('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 3 inhabitants: James, Owen, and Logan. In James's words: \"Owen is a knight if and only if Logan is a knave\". As Owen put it, \"James is a knave if and only if Owen is a knight\". In Logan's words: \"Owen is a knight or Owen is a knave\". So who is a knight and who is a knave?", "names": ["James", "Owen", "Logan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "James is a knave, Owen is a knight, and Logan is a knight.", "solution_text_format": "(1) James is a knave\n(2) Owen is a knight\n(3) 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 Logan is a knave.", "Owen cannot be a knight, because this would contradict the claim of their own that James 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 James 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 James.", "Assume James is a knave. No contradiction is found in their false claim that Owen is a knight if and only if Logan is a knave.", "Assume Owen is a knight. No contradiction is found in their claim that James is a knave if and only if Owen is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that Owen is a knight or Owen is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('lying', 2)), ('<=>', ('lying', 0), ('telling-truth', 1)), ('or', ('telling-truth', 1), ('lying', 1)))", "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 3 inhabitants: Penelope, Avery, and Joseph. Penelope told you that Joseph is a knight. \"Avery is a knight or Joseph is a knave,\" Avery declared. \"If Joseph is a knight then Avery is a knave,\" Joseph declared. So who is a knight and who is a knave?", "names": ["Penelope", "Avery", "Joseph"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Penelope is a knight, Avery is a knave, and Joseph is a knight.", "solution_text_format": "(1) Penelope is a knight\n(2) Avery is a knave\n(3) 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 Penelope 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 If Joseph is a knight then Avery is a knave.", "Avery cannot be a knight, because this would contradict the claim of Joseph that If Joseph is a knight then Avery is a knave.", "Assume Avery is a knave. No contradiction is found in their false claim that Avery is a knight or Joseph is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 2), ('or', ('telling-truth', 1), ('lying', 2)), ('->', ('telling-truth', 2), ('lying', 1)))", "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 3 inhabitants: Charlotte, Scarlett, and Chloe. Charlotte said that Scarlett is a knight if and only if Scarlett is a knave. Scarlett was heard saying, \"Charlotte is a knight if and only if Chloe is a knight\". According to Chloe, \"Chloe is a knight or Scarlett is a knight\". So who is a knight and who is a knave?", "names": ["Charlotte", "Scarlett", "Chloe"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Charlotte is a knave, Scarlett is a knave, and Chloe is a knight.", "solution_text_format": "(1) Charlotte is a knave\n(2) Scarlett is a knave\n(3) 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": ["Charlotte 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 Charlotte is a knave. No contradiction is found in their false claim that Scarlett is a knight if and only if Scarlett is a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that Charlotte is a knight if and only if Chloe is a knight.", "Chloe cannot be a knight, because this would contradict the claim of Scarlett that Charlotte is a knight if and only if Chloe is a knight.", "Chloe cannot be a knave, because this would contradict the false claim of their own that Chloe is a knight or Scarlett 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 Charlotte is a knight if and only if Chloe is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that Chloe is a knight or Scarlett is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('lying', 1)), ('<=>', ('telling-truth', 0), ('telling-truth', 2)), ('or', ('telling-truth', 2), ('telling-truth', 1)))", "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 3 inhabitants: Emma, Henry, and Isabella. \"Henry is a knight\" - Emma. Henry remarked, \"Emma is a knave or Emma is a knight\". \"Henry is a knave,\" Isabella declared. So who is a knight and who is a knave?", "names": ["Emma", "Henry", "Isabella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Emma is a knight, Henry is a knight, and Isabella is a knave.", "solution_text_format": "(1) Emma is a knight\n(2) Henry is a knight\n(3) 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 Henry is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that Emma is a knave or Emma is a knight.", "Isabella cannot be a knight, because this would contradict the claim of their own that Henry is a knave.", "Assume Isabella 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": "(('telling-truth', 1), ('or', ('lying', 0), ('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 3 inhabitants: Noah, Riley, and Aurora. Noah expressed that Riley is a knave and Riley is a knight. Riley expressed that Aurora is a knight and Noah is a knight. Aurora told you that Noah is a knave. So who is a knight and who is a knave?", "names": ["Noah", "Riley", "Aurora"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Noah is a knave, Riley is a knave, and Aurora is a knight.", "solution_text_format": "(1) Noah is a knave\n(2) Riley is a knave\n(3) 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": ["Noah cannot be a knight, because this would contradict the claim of their own that Riley is a knave and Riley is a knight.", "Assume Noah is a knave. No contradiction is found in their false claim that Riley is a knave and Riley is a knight.", "Riley cannot be a knight, because this would contradict the claim of their own that Aurora is a knight and Noah is a knight.", "Assume Riley is a knave. No contradiction is found in their false claim that Aurora is a knight and Noah is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that Noah is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('telling-truth', 1)), ('and', ('telling-truth', 2), ('telling-truth', 0)), ('lying', 0))", "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 3 inhabitants: Penelope, Aurora, and Liam. \"Liam is a knave\" - Penelope. Aurora expressed that Liam is not a knight. \"Penelope is a knave and Penelope is a knight\" - Liam. So who is a knight and who is a knave?", "names": ["Penelope", "Aurora", "Liam"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Penelope is a knight, Aurora is a knight, and Liam is a knave.", "solution_text_format": "(1) Penelope is a knight\n(2) Aurora is a knight\n(3) 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 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 Penelope is a knave and Penelope is a knight.", "Assume Aurora 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": "(('lying', 2), ('not', ('telling-truth', 2)), ('and', ('lying', 0), ('telling-truth', 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 3 inhabitants: Zoey, Noah, and Daniel. Zoey asserted: \"Zoey is a knight\". In Noah's words: \"Zoey is a knave or Daniel is a knight\". \"Noah is a knave,\" Daniel declared. So who is a knight and who is a knave?", "names": ["Zoey", "Noah", "Daniel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Zoey is a knave, Noah is a knight, and Daniel is a knave.", "solution_text_format": "(1) Zoey is a knave\n(2) Noah is a knight\n(3) 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 Zoey is a knight. No contradiction is found in their claim that Zoey is a knight.", "Assume Noah is a knight. No contradiction is found in their claim that Zoey is a knave or Daniel is a knight.", "Daniel cannot be a knight, because this would contradict the claim of their own that Noah is a knave.", "Daniel cannot be a knave, because this would contradict the claim of Noah that Zoey is a knave or Daniel is a knight.", "We have exhausted all possibilities for Daniel, 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 knave or Daniel is a knight.", "Daniel cannot be a knight, because this would contradict the false claim of Noah that Zoey is a knave or Daniel is a knight.", "Daniel 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 Daniel and Noah, 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 Noah is a knight. No contradiction is found in their claim that Zoey is a knave or Daniel is a knight.", "Daniel cannot be a knight, because this would contradict the claim of their own that Noah is a knave.", "Assume Daniel 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', 0), ('or', ('lying', 0), ('telling-truth', 2)), ('lying', 1))", "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 3 inhabitants: Olivia, Scarlett, and Daniel. Olivia said, \"Daniel is not a knight.\" According to Scarlett, \"If Scarlett is a knight then Olivia is a knave\". Daniel stated, \"Daniel is a knight\". So who is a knight and who is a knave?", "names": ["Olivia", "Scarlett", "Daniel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Olivia is a knave, Scarlett is a knight, and Daniel is a knight.", "solution_text_format": "(1) Olivia is a knave\n(2) Scarlett is a knight\n(3) 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 Olivia 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 Olivia that Daniel is not a knight.", "Assume Daniel is a knave. No contradiction is found in their false claim that Daniel is a knight.", "Scarlett cannot be a knight, because this would contradict the claim of their own that If Scarlett is a knight then Olivia is a knave.", "Scarlett cannot be a knave, because this would contradict the false claim of their own that If Scarlett is a knight then Olivia is a knave.", "We have exhausted all possibilities for Scarlett and 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 not a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that Daniel is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that If Scarlett is a knight then Olivia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 2)), ('->', ('telling-truth', 1), ('lying', 0)), ('telling-truth', 2))", "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 3 inhabitants: Oliver, Ethan, and Daniel. \"If Oliver is a knight then Daniel is a knight\" - Oliver. Ethan asserted: \"Ethan is a knight\". Daniel said, \"Oliver is a knave or Ethan is a knight.\" So who is a knight and who is a knave?", "names": ["Oliver", "Ethan", "Daniel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Oliver is a knight, Ethan is a knight, and Daniel is a knight.", "solution_text_format": "(1) Oliver is a knight\n(2) Ethan is a knight\n(3) 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 Oliver is a knight. No contradiction is found in their claim that If Oliver is a knight then Daniel is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that Oliver is a knave or Ethan is a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that Ethan is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 0), ('telling-truth', 2)), ('telling-truth', 1), ('or', ('lying', 0), ('telling-truth', 1)))", "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 3 inhabitants: Noah, Michael, and Liam. Noah stated, \"If Michael is a knave then Liam is a knave\". Michael commented, \"Michael is a knight if and only if Liam is a knight\". As Liam put it, \"Noah is a knave\". So who is a knight and who is a knave?", "names": ["Noah", "Michael", "Liam"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Noah is a knave, Michael is a knave, and Liam is a knight.", "solution_text_format": "(1) Noah is a knave\n(2) Michael is a knave\n(3) 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 Noah is a knight. No contradiction is found in their claim that If Michael is a knave then Liam is a knave.", "Assume Michael is a knight. No contradiction is found in their claim that Michael is a knight if and only if Liam is a knight.", "Liam cannot be a knight, because this would contradict the claim of their own that Noah is a knave.", "Liam cannot be a knave, because this would contradict the claim of Michael that Michael is a knight if and only if Liam is a knight.", "We have exhausted all possibilities for Liam, 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 if and only if Liam is a knight.", "Liam cannot be a knight, because this would contradict the claim of Noah that If Michael is a knave then Liam is a knave.", "Liam cannot be a knave, because this would contradict the false claim of Michael that Michael is a knight if and only if Liam is a knight.", "We have exhausted all possibilities for Liam and Michael, so let us go back and reconsider Noah.", "Assume Noah is a knave. No contradiction is found in their false claim that If Michael is a knave then Liam is a knave.", "Michael cannot be a knight, because this would contradict the false claim of Noah that If Michael is a knave then Liam is a knave.", "Assume Michael is a knave. No contradiction is found in their false claim that Michael is a knight if and only if Liam is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that Noah is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 1), ('lying', 2)), ('<=>', ('telling-truth', 1), ('telling-truth', 2)), ('lying', 0))", "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 3 inhabitants: Emma, Isabella, and Aurora. According to Emma, \"If Emma is a knight then Isabella is a knave\". Isabella expressed that Isabella is a knight. In a statement by Aurora: \"Aurora is a knight and Emma is a knave\". So who is a knight and who is a knave?", "names": ["Emma", "Isabella", "Aurora"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false], "solution_text": "Emma is a knight, Isabella is a knave, and Aurora is a knave.", "solution_text_format": "(1) Emma is a knight\n(2) Isabella is a knave\n(3) 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 If Emma is a knight then Isabella is a knave.", "Isabella cannot be a knight, because this would contradict the claim of Emma that If Emma is a knight then Isabella is a knave.", "Assume Isabella is a knave. No contradiction is found in their false claim that Isabella is a knight.", "Aurora cannot be a knight, because this would contradict the claim of their own that Aurora is a knight and Emma is a knave.", "Assume Aurora is a knave. No contradiction is found in their false claim that Aurora is a knight and Emma is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 0), ('lying', 1)), ('telling-truth', 1), ('and', ('telling-truth', 2), ('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 3 inhabitants: Ava, William, and Aurora. Ava stated, \"William is a knight if and only if William is a knave\". \"Ava is a knave,\" William mentioned. Aurora expressed that William is a knave or Ava is a knave. So who is a knight and who is a knave?", "names": ["Ava", "William", "Aurora"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Ava is a knave, William is a knight, and Aurora is a knight.", "solution_text_format": "(1) Ava is a knave\n(2) William is a knight\n(3) 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": ["Ava 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 Ava 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 Ava is a knave.", "Assume Aurora is a knight. No contradiction is found in their claim that William is a knave or Ava is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('lying', 1)), ('lying', 0), ('or', ('lying', 1), ('lying', 0)))", "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 3 inhabitants: Ella, Sofia, and David. \"Sofia is a knight,\" Ella mentioned. Sofia stated, \"If David is a knave then David is a knight\". In David's words: \"Ella is a knave or Ella is a knight\". So who is a knight and who is a knave?", "names": ["Ella", "Sofia", "David"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Ella is a knight, Sofia is a knight, and David is a knight.", "solution_text_format": "(1) Ella is a knight\n(2) Sofia is a knight\n(3) 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 Ella 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 David is a knave then David is a knight.", "Assume David is a knight. No contradiction is found in their claim that Ella is a knave or Ella is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 1), ('->', ('lying', 2), ('telling-truth', 2)), ('or', ('lying', 0), ('telling-truth', 0)))", "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 3 inhabitants: Matthew, Scarlett, and Ethan. Matthew told you that Matthew is a knight and Scarlett is a knight. Scarlett said, \"Matthew is a knave and Ethan is a knight.\" As Ethan put it, \"Matthew is a knight\". So who is a knight and who is a knave?", "names": ["Matthew", "Scarlett", "Ethan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false], "solution_text": "Matthew is a knave, Scarlett is a knave, and Ethan is a knave.", "solution_text_format": "(1) Matthew is a knave\n(2) Scarlett is a knave\n(3) 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 Matthew is a knight. No contradiction is found in their claim that Matthew is a knight and Scarlett is a knight.", "Scarlett cannot be a knight, because this would contradict the claim of their own that Matthew is a knave and Ethan is a knight.", "Scarlett cannot be a knave, because this would contradict the claim of Matthew that Matthew is a knight and Scarlett is a knight.", "We have exhausted all possibilities for Scarlett, 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 Scarlett is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that Matthew is a knave and Ethan is a knight.", "Ethan cannot be a knight, because this would contradict the claim of their own that Matthew is a knight.", "Ethan cannot be a knave, because this would contradict the claim of Scarlett that Matthew is a knave and Ethan is a knight.", "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 Matthew is a knave and Ethan is a knight.", "Ethan cannot be a knight, because this would contradict the false claim of Scarlett that Matthew is a knave and Ethan is a knight.", "Assume Ethan 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": "(('and', ('telling-truth', 0), ('telling-truth', 1)), ('and', ('lying', 0), ('telling-truth', 2)), ('telling-truth', 0))", "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 3 inhabitants: Lucas, Ava, and Sebastian. \"Ava is not a knight,\" Lucas mentioned. Ava was heard saying, \"Ava is a knight if and only if Sebastian is a knave\". Sebastian was heard saying, \"Lucas is a knight\". So who is a knight and who is a knave?", "names": ["Lucas", "Ava", "Sebastian"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Lucas is a knave, Ava is a knight, and Sebastian is a knave.", "solution_text_format": "(1) Lucas is a knave\n(2) Ava is a knight\n(3) 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 Lucas 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 Lucas that Ava is not a knight.", "Assume Ava is a knave. No contradiction is found in their false claim that Ava is a knight if and only if Sebastian is a knave.", "Sebastian cannot be a knight, because this would contradict the false claim of Ava that Ava is a knight if and only if Sebastian is a knave.", "Sebastian 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 Sebastian and Ava, so let us go back and reconsider Lucas.", "Assume Lucas 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 Ava is a knight if and only if Sebastian is a knave.", "Sebastian cannot be a knight, because this would contradict the claim of Ava that Ava 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 Lucas is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('<=>', ('telling-truth', 1), ('lying', 2)), ('telling-truth', 0))", "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 3 inhabitants: Jacob, Sebastian, and Lucas. Jacob said that Sebastian is not a knave. \"Jacob is a knight and Jacob is a knave,\" Sebastian mentioned. Lucas said, \"Sebastian is a knave or Jacob is a knave.\" So who is a knight and who is a knave?", "names": ["Jacob", "Sebastian", "Lucas"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Jacob is a knave, Sebastian is a knave, and Lucas is a knight.", "solution_text_format": "(1) Jacob is a knave\n(2) Sebastian is a knave\n(3) 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 Jacob 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 Jacob is a knight and Jacob is a knave.", "Sebastian cannot be a knave, because this would contradict the claim of Jacob that Sebastian is not a knave.", "We have exhausted all possibilities for Sebastian, so let us go back and reconsider Jacob.", "Assume Jacob 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 Jacob that Sebastian is not a knave.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Jacob is a knight and Jacob is a knave.", "Assume Lucas is a knight. No contradiction is found in their claim that Sebastian is a knave or Jacob is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 1)), ('and', ('telling-truth', 0), ('lying', 0)), ('or', ('lying', 1), ('lying', 0)))", "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 3 inhabitants: Riley, William, and Daniel. Riley commented, \"Riley is a knight if and only if Daniel is a knight\". \"Riley is not a knave,\" William declared. \"William is not a knave,\" Daniel declared. So who is a knight and who is a knave?", "names": ["Riley", "William", "Daniel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Riley is a knight, William is a knight, and Daniel is a knight.", "solution_text_format": "(1) Riley is a knight\n(2) William is a knight\n(3) 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 Riley is a knight. No contradiction is found in their claim that Riley is a knight if and only if Daniel is a knight.", "Assume Daniel 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 Riley is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 0), ('telling-truth', 2)), ('not', ('lying', 0)), ('not', ('lying', 1)))", "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 3 inhabitants: Isabella, Victoria, and Jackson. Isabella stated, \"Victoria is not a knave\". \"Jackson is a knight if and only if Isabella is a knave\" - Victoria. Jackson asserted: \"Jackson is a knight if and only if Victoria is a knave\". So who is a knight and who is a knave?", "names": ["Isabella", "Victoria", "Jackson"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false], "solution_text": "Isabella is a knave, Victoria is a knave, and Jackson is a knave.", "solution_text_format": "(1) Isabella is a knave\n(2) Victoria is a knave\n(3) 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 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 Jackson is a knight if and only if Isabella is a knave.", "Jackson cannot be a knight, because this would contradict the claim of Victoria that Jackson is a knight if and only if Isabella is a knave.", "Jackson cannot be a knave, because this would contradict the false claim of their own that Jackson is a knight if and only if Victoria is a knave.", "We have exhausted all possibilities for Jackson, so let us go back and reconsider Victoria.", "Victoria cannot be a knave, because this would contradict the claim of Isabella that Victoria is not a knave.", "We have exhausted all possibilities for Victoria, so let us go back and reconsider Isabella.", "Assume Isabella 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 Isabella that Victoria is not a knave.", "Assume Victoria is a knave. No contradiction is found in their false claim that Jackson is a knight if and only if Isabella is a knave.", "Jackson cannot be a knight, because this would contradict the false claim of Victoria that Jackson is a knight if and only if Isabella is a knave.", "Assume Jackson is a knave. No contradiction is found in their false claim that Jackson is a knight if and only if Victoria is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 1)), ('<=>', ('telling-truth', 2), ('lying', 0)), ('<=>', ('telling-truth', 2), ('lying', 1)))", "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 3 inhabitants: Isabella, Abigail, and Matthew. \"Abigail is a knight and Matthew is a knave,\" Isabella declared. \"Isabella is a knave if and only if Isabella is a knight,\" Abigail declared. Matthew said that If Isabella is a knave then Abigail is a knave. So who is a knight and who is a knave?", "names": ["Isabella", "Abigail", "Matthew"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Isabella is a knave, Abigail is a knave, and Matthew is a knight.", "solution_text_format": "(1) Isabella is a knave\n(2) Abigail is a knave\n(3) 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 Isabella is a knight. No contradiction is found in their claim that Abigail is a knight and Matthew is a knave.", "Abigail 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.", "Abigail cannot be a knave, because this would contradict the claim of Isabella that Abigail is a knight and Matthew is a knave.", "We have exhausted all possibilities for Abigail, so let us go back and reconsider Isabella.", "Assume Isabella is a knave. No contradiction is found in their false claim that Abigail is a knight and Matthew is a knave.", "Abigail 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 Abigail 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 Matthew is a knight. No contradiction is found in their claim that If Isabella is a knave then Abigail is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('lying', 2)), ('<=>', ('lying', 0), ('telling-truth', 0)), ('->', ('lying', 0), ('lying', 1)))", "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 3 inhabitants: Grace, Owen, and Jack. Grace said that Owen is a knave. Owen said, \"Jack is a knight.\" As Jack put it, \"Owen is a knave if and only if Grace is a knight\". So who is a knight and who is a knave?", "names": ["Grace", "Owen", "Jack"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Grace is a knave, Owen is a knight, and Jack is a knight.", "solution_text_format": "(1) Grace is a knave\n(2) Owen is a knight\n(3) 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 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 Jack is a knight.", "Jack cannot be a knight, because this would contradict the false claim of Owen that Jack is a knight.", "Jack cannot be a knave, because this would contradict the false claim of their own that Owen is a knave if and only if Grace is a knight.", "We have exhausted all possibilities for Jack 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 Jack is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that Owen is a knave if and only if Grace is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('telling-truth', 2), ('<=>', ('lying', 1), ('telling-truth', 0)))", "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 3 inhabitants: Joseph, Amelia, and Olivia. Joseph said, \"Olivia is a knight if and only if Olivia is a knave.\" Amelia stated, \"Joseph is a knight\". Olivia was heard saying, \"Amelia is not a knight\". So who is a knight and who is a knave?", "names": ["Joseph", "Amelia", "Olivia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Joseph is a knave, Amelia is a knave, and Olivia is a knight.", "solution_text_format": "(1) Joseph is a knave\n(2) Amelia is a knave\n(3) 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": ["Joseph cannot be a knight, because this would contradict the claim of their own that Olivia is a knight if and only if Olivia is a knave.", "Assume Joseph is a knave. No contradiction is found in their false claim that Olivia is a knight if and only if Olivia is a knave.", "Assume Olivia is a knight. No contradiction is found in their claim that Amelia is not a knight.", "Amelia cannot be a knight, because this would contradict the claim of their own that Joseph is a knight.", "Assume Amelia 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": "(('<=>', ('telling-truth', 2), ('lying', 2)), ('telling-truth', 0), ('not', ('telling-truth', 1)))", "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 3 inhabitants: Olivia, Henry, and Amelia. \"Olivia is a knight\" - Olivia. Henry remarked, \"Amelia is a knave if and only if Olivia is a knave\". Amelia commented, \"If Henry is a knave then Olivia is a knight\". So who is a knight and who is a knave?", "names": ["Olivia", "Henry", "Amelia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Olivia is a knight, Henry is a knight, and Amelia is a knight.", "solution_text_format": "(1) Olivia is a knight\n(2) Henry is a knight\n(3) 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 Olivia is a knight. No contradiction is found in their claim that Olivia is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that Amelia is a knave if and only if Olivia is a knave.", "Assume Amelia is a knight. No contradiction is found in their claim that If Henry is a knave then Olivia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 0), ('<=>', ('lying', 2), ('lying', 0)), ('->', ('lying', 1), ('telling-truth', 0)))", "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 3 inhabitants: Ethan, Lucas, and William. Ethan stated, \"Lucas is a knight and William is a knight\". In a statement by Lucas: \"Ethan is a knave and William is a knave\". \"If Ethan is a knight then Lucas is a knave,\" William claimed. So who is a knight and who is a knave?", "names": ["Ethan", "Lucas", "William"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Ethan is a knave, Lucas is a knave, and William is a knight.", "solution_text_format": "(1) Ethan is a knave\n(2) Lucas is a knave\n(3) 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 Lucas is a knight and William is a knight.", "Lucas cannot be a knight, because this would contradict the claim of their own that Ethan is a knave and William is a knave.", "Lucas cannot be a knave, because this would contradict the claim of Ethan that Lucas is a knight and William 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 knight and William is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that Ethan is a knave and William is a knave.", "William cannot be a knight, because this would contradict the false claim of Ethan that Lucas is a knight and William is a knight.", "William cannot be a knave, because this would contradict the false claim of their own that If Ethan is a knight then Lucas is a knave.", "We have exhausted all possibilities for William, so let us go back and reconsider Lucas.", "Assume Lucas is a knave. No contradiction is found in their false claim that Ethan is a knave and William is a knave.", "Assume William is a knight. No contradiction is found in their claim that If Ethan is a knight then Lucas is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('telling-truth', 2)), ('and', ('lying', 0), ('lying', 2)), ('->', ('telling-truth', 0), ('lying', 1)))", "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 3 inhabitants: Liam, Isabella, and Evelyn. Liam said, \"Isabella is a knave and Liam is a knight.\" According to Isabella, \"Evelyn is not a knight\". \"Liam is a knave,\" Evelyn declared. So who is a knight and who is a knave?", "names": ["Liam", "Isabella", "Evelyn"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Liam is a knave, Isabella is a knave, and Evelyn is a knight.", "solution_text_format": "(1) Liam is a knave\n(2) Isabella is a knave\n(3) 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 Liam is a knight. No contradiction is found in their claim that Isabella is a knave and Liam is a knight.", "Isabella cannot be a knight, because this would contradict the claim of Liam that Isabella is a knave and Liam is a knight.", "Assume Isabella is a knave. No contradiction is found in their false claim that Evelyn is not a knight.", "Evelyn cannot be a knight, because this would contradict the claim of their own that Liam is a knave.", "Evelyn cannot be a knave, because this would contradict the false claim of Isabella that Evelyn is not a knight.", "We have exhausted all possibilities for Evelyn 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 and Liam is a knight.", "Assume Isabella 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 Isabella that Evelyn is not a knight.", "Evelyn cannot be a knave, because this would contradict the false claim of their own that Liam is a knave.", "We have exhausted all possibilities for Evelyn, so let us go back and reconsider Isabella.", "Assume Isabella 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 Liam is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('telling-truth', 0)), ('not', ('telling-truth', 2)), ('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 3 inhabitants: Owen, Alexander, and Noah. \"Alexander is a knight,\" Owen declared. Alexander said that If Owen is a knave then Noah is a knave. Noah expressed that Alexander is a knight. So who is a knight and who is a knave?", "names": ["Owen", "Alexander", "Noah"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Owen is a knight, Alexander is a knight, and Noah is a knight.", "solution_text_format": "(1) Owen is a knight\n(2) Alexander is a knight\n(3) 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 Owen 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 If Owen is a knave then Noah is a knave.", "Assume Noah is a knight. No contradiction is found in their claim that Alexander is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 1), ('->', ('lying', 0), ('lying', 2)), ('telling-truth', 1))", "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 3 inhabitants: William, Charlotte, and Joseph. In William's words: \"Charlotte is a knight and Charlotte is a knave\". Charlotte stated, \"Joseph is a knight and William is a knight\". \"Charlotte is not a knight,\" Joseph mentioned. So who is a knight and who is a knave?", "names": ["William", "Charlotte", "Joseph"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "William is a knave, Charlotte is a knave, and Joseph is a knight.", "solution_text_format": "(1) William is a knave\n(2) Charlotte is a knave\n(3) 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": ["William cannot be a knight, because this would contradict the claim of their own that Charlotte is a knight and Charlotte is a knave.", "Assume William is a knave. No contradiction is found in their false claim that Charlotte is a knight and Charlotte is a knave.", "Charlotte cannot be a knight, because this would contradict the claim of their own that Joseph is a knight and William is a knight.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Joseph is a knight and William is a knight.", "Assume Joseph 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', 1), ('lying', 1)), ('and', ('telling-truth', 2), ('telling-truth', 0)), ('not', ('telling-truth', 1)))", "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 3 inhabitants: Jackson, Lily, and Sebastian. Jackson commented, \"Sebastian is a knight and Jackson is a knight\". \"Jackson is a knave if and only if Jackson is a knight,\" Lily claimed. Sebastian was heard saying, \"Jackson is a knave\". So who is a knight and who is a knave?", "names": ["Jackson", "Lily", "Sebastian"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Jackson is a knave, Lily is a knave, and Sebastian is a knight.", "solution_text_format": "(1) Jackson is a knave\n(2) Lily is a knave\n(3) 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 Jackson is a knight. No contradiction is found in their claim that Sebastian is a knight and Jackson is a knight.", "Sebastian cannot be a knight, because this would contradict the claim of their own that Jackson is a knave.", "Sebastian cannot be a knave, because this would contradict the claim of Jackson that Sebastian is a knight and Jackson is 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 a knight and Jackson is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Jackson is a knave.", "Lily 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 Lily is a knave. No contradiction is found in their false claim that Jackson is a knave if and only if Jackson is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 2), ('telling-truth', 0)), ('<=>', ('lying', 0), ('telling-truth', 0)), ('lying', 0))", "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 3 inhabitants: Chloe, Alexander, and Ethan. According to Chloe, \"Alexander is a knave and Alexander is a knight\". Alexander noted, \"Alexander is a knight or Chloe is a knave\". Ethan asserted: \"Chloe is a knave and Alexander is a knight\". So who is a knight and who is a knave?", "names": ["Chloe", "Alexander", "Ethan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Chloe is a knave, Alexander is a knight, and Ethan is a knight.", "solution_text_format": "(1) Chloe is a knave\n(2) Alexander is a knight\n(3) 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": ["Chloe cannot be a knight, because this would contradict the claim of their own that Alexander is a knave and Alexander is a knight.", "Assume Chloe 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 Alexander is a knight or Chloe is a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that Chloe is a knave and Alexander is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('telling-truth', 1)), ('or', ('telling-truth', 1), ('lying', 0)), ('and', ('lying', 0), ('telling-truth', 1)))", "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 3 inhabitants: Emily, Ella, and Olivia. Emily stated, \"Ella is a knight\". In Ella's words: \"Emily is a knave and Olivia is a knave\". Olivia was heard saying, \"Ella is a knave and Olivia is a knight\". So who is a knight and who is a knave?", "names": ["Emily", "Ella", "Olivia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Emily is a knave, Ella is a knave, and Olivia is a knight.", "solution_text_format": "(1) Emily is a knave\n(2) Ella is a knave\n(3) 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 Emily is a knight. No contradiction is found in their claim that Ella is a knight.", "Ella cannot be a knight, because this would contradict the claim of their own that Emily is a knave and Olivia is a knave.", "Ella cannot be a knave, because this would contradict the claim of Emily that Ella is a knight.", "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 a knight.", "Ella cannot be a knight, because this would contradict the false claim of Emily that Ella is a knight.", "Assume Ella is a knave. No contradiction is found in their false claim that Emily is a knave and Olivia is a knave.", "Assume Olivia is a knight. No contradiction is found in their claim that Ella is a knave and Olivia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 1), ('and', ('lying', 0), ('lying', 2)), ('and', ('lying', 1), ('telling-truth', 2)))", "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 3 inhabitants: Benjamin, Charlotte, and Owen. Benjamin said, \"Charlotte is a knight or Charlotte is a knave.\" \"Benjamin is a knave if and only if Owen is a knave\" - Charlotte. \"Charlotte is a knave or Owen is a knight\" - Owen. So who is a knight and who is a knave?", "names": ["Benjamin", "Charlotte", "Owen"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Benjamin is a knight, Charlotte is a knight, and Owen is a knight.", "solution_text_format": "(1) Benjamin is a knight\n(2) Charlotte is a knight\n(3) 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 Charlotte is a knight or Charlotte is a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that Benjamin is a knave if and only if Owen is a knave.", "Assume Owen is a knight. No contradiction is found in their claim that Charlotte is a knave or Owen is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 1), ('lying', 1)), ('<=>', ('lying', 0), ('lying', 2)), ('or', ('lying', 1), ('telling-truth', 2)))", "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 3 inhabitants: Liam, Benjamin, and Henry. Liam stated, \"If Benjamin is a knight then Henry is a knave\". Benjamin was heard saying, \"Henry is a knave and Henry is a knight\". Henry noted, \"Liam is a knight if and only if Benjamin is a knave\". So who is a knight and who is a knave?", "names": ["Liam", "Benjamin", "Henry"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Liam is a knight, Benjamin is a knave, and Henry is a knight.", "solution_text_format": "(1) Liam is a knight\n(2) Benjamin is a knave\n(3) 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 Liam is a knight. No contradiction is found in their claim that If Benjamin is a knight then Henry is a knave.", "Benjamin cannot be a knight, because this would contradict the claim of their own that Henry is a knave and Henry is a knight.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Henry is a knave and Henry is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that Liam is a knight if and only if Benjamin is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 1), ('lying', 2)), ('and', ('lying', 2), ('telling-truth', 2)), ('<=>', ('telling-truth', 0), ('lying', 1)))", "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 3 inhabitants: David, Noah, and Aurora. \"Noah is a knave if and only if Aurora is a knave\" - David. According to Noah, \"David is a knave if and only if Noah is a knight\". Aurora noted, \"If David is a knight then Aurora is a knight\". So who is a knight and who is a knave?", "names": ["David", "Noah", "Aurora"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "David is a knave, Noah is a knave, and Aurora is a knight.", "solution_text_format": "(1) David is a knave\n(2) Noah is a knave\n(3) 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 David is a knight. No contradiction is found in their claim that Noah is a knave if and only if Aurora is a knave.", "Noah cannot be a knight, because this would contradict the claim of their own that David is a knave if and only if Noah is a knight.", "Noah cannot be a knave, because this would contradict the false claim of their own that David is a knave if and only if Noah is a knight.", "We have exhausted all possibilities for Noah, so let us go back and reconsider David.", "Assume David is a knave. No contradiction is found in their false claim that Noah is a knave if and only if Aurora is a knave.", "Assume Noah is a knight. No contradiction is found in their claim that David is a knave if and only if Noah is a knight.", "Aurora cannot be a knight, because this would contradict the false claim of David that Noah is a knave if and only if Aurora is a knave.", "Aurora cannot be a knave, because this would contradict the false claim of their own that If David is a knight then Aurora is a knight.", "We have exhausted all possibilities for Aurora, 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 knave if and only if Noah is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that If David is a knight then Aurora is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('lying', 2)), ('<=>', ('lying', 0), ('telling-truth', 1)), ('->', ('telling-truth', 0), ('telling-truth', 2)))", "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 3 inhabitants: Aiden, Jacob, and Benjamin. Aiden asserted: \"Jacob is a knave\". Jacob told you that Aiden is a knight or Jacob is a knight. In Benjamin's words: \"Aiden is a knave or Benjamin is a knight\". So who is a knight and who is a knave?", "names": ["Aiden", "Jacob", "Benjamin"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Aiden is a knave, Jacob is a knight, and Benjamin is a knight.", "solution_text_format": "(1) Aiden is a knave\n(2) Jacob is a knight\n(3) 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 Aiden 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 Aiden that Jacob is a knave.", "Jacob cannot be a knave, because this would contradict the false claim of their own that Aiden is a knight or Jacob is a knight.", "We have exhausted all possibilities for Jacob, so let us go back and reconsider Aiden.", "Assume Aiden 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 Aiden is a knight or Jacob is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that Aiden is a knave or Benjamin is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('or', ('telling-truth', 0), ('telling-truth', 1)), ('or', ('lying', 0), ('telling-truth', 2)))", "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 3 inhabitants: Samuel, Daniel, and Owen. \"Samuel is a knight if and only if Owen is a knight\" - Samuel. Daniel asserted: \"Owen is a knave\". Owen remarked, \"Daniel is a knight or Samuel is a knave\". So who is a knight and who is a knave?", "names": ["Samuel", "Daniel", "Owen"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Samuel is a knave, Daniel is a knave, and Owen is a knight.", "solution_text_format": "(1) Samuel is a knave\n(2) Daniel is a knave\n(3) 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 Samuel is a knight. No contradiction is found in their claim that Samuel is a knight if and only if Owen is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that Daniel is a knight or Samuel is a knave.", "Daniel cannot be a knight, because this would contradict the claim of their own that Owen is a knave.", "Daniel cannot be a knave, because this would contradict the claim of Owen that Daniel is a knight or Samuel is a knave.", "We have exhausted all possibilities for Daniel, so let us go back and reconsider Owen.", "Owen cannot be a knave, because this would contradict the claim of Samuel that Samuel 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 Samuel.", "Assume Samuel is a knave. No contradiction is found in their false claim that Samuel is a knight if and only if Owen is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that Daniel is a knight or Samuel is a knave.", "Daniel cannot be a knight, because this would contradict the claim of their own that Owen is a knave.", "Assume Daniel is a knave. No contradiction is found in their false claim that Owen is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 0), ('telling-truth', 2)), ('lying', 2), ('or', ('telling-truth', 1), ('lying', 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 3 inhabitants: Ethan, Sophia, and David. According to Ethan, \"If Sophia is a knight then David is a knight\". As Sophia put it, \"David is a knight if and only if Ethan is a knave\". In David's words: \"Sophia is a knave or Sophia is a knight\". So who is a knight and who is a knave?", "names": ["Ethan", "Sophia", "David"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Ethan is a knight, Sophia is a knave, and David is a knight.", "solution_text_format": "(1) Ethan is a knight\n(2) Sophia is a knave\n(3) 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 Ethan is a knight. No contradiction is found in their claim that If Sophia is a knight then David is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that David is a knight if and only if Ethan is a knave.", "David cannot be a knight, because this would contradict the claim of Sophia that David is a knight if and only if Ethan is a knave.", "David cannot be a knave, because this would contradict the claim of Ethan that If Sophia is a knight then David is a knight.", "We have exhausted all possibilities for David, so let us go back and reconsider Sophia.", "Assume Sophia is a knave. No contradiction is found in their false claim that David is a knight if and only if Ethan is a knave.", "Assume David is a knight. No contradiction is found in their claim that Sophia is a knave or Sophia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 1), ('telling-truth', 2)), ('<=>', ('telling-truth', 2), ('lying', 0)), ('or', ('lying', 1), ('telling-truth', 1)))", "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 3 inhabitants: Charlotte, Logan, and David. Charlotte said, \"Charlotte is a knight and Logan is a knight.\" According to Logan, \"Charlotte is a knight or David is a knight\". David asserted: \"Charlotte is a knight if and only if Logan is a knight\". So who is a knight and who is a knave?", "names": ["Charlotte", "Logan", "David"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Charlotte is a knight, Logan is a knight, and David is a knight.", "solution_text_format": "(1) Charlotte is a knight\n(2) Logan is a knight\n(3) 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 Charlotte is a knight. No contradiction is found in their claim that Charlotte is a knight and Logan is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that Charlotte is a knight or David is a knight.", "Assume David is a knight. No contradiction is found in their claim that Charlotte is a knight if and only if Logan is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 0), ('telling-truth', 1)), ('or', ('telling-truth', 0), ('telling-truth', 2)), ('<=>', ('telling-truth', 0), ('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 3 inhabitants: William, Oliver, and Aria. According to William, \"If William is a knight then Aria is a knight\". In a statement by Oliver: \"William is a knave or Aria is a knave\". Aria told you that If William is a knave then William is a knight. So who is a knight and who is a knave?", "names": ["William", "Oliver", "Aria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "William is a knight, Oliver is a knave, and Aria is a knight.", "solution_text_format": "(1) William is a knight\n(2) Oliver is a knave\n(3) 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 William is a knight. No contradiction is found in their claim that If William is a knight then Aria is a knight.", "Assume Aria is a knight. No contradiction is found in their claim that If William is a knave then William is a knight.", "Oliver cannot be a knight, because this would contradict the claim of their own that William is a knave or Aria is a knave.", "Assume Oliver is a knave. No contradiction is found in their false claim that William is a knave or Aria is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 0), ('telling-truth', 2)), ('or', ('lying', 0), ('lying', 2)), ('->', ('lying', 0), ('telling-truth', 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 3 inhabitants: Sofia, Amelia, and Harper. Sofia noted, \"If Harper is a knave then Amelia is a knave\". Amelia remarked, \"Harper is a knave\". Harper said that Amelia is a knight if and only if Sofia is a knight. So who is a knight and who is a knave?", "names": ["Sofia", "Amelia", "Harper"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Sofia is a knave, Amelia is a knight, and Harper is a knave.", "solution_text_format": "(1) Sofia is a knave\n(2) Amelia is a knight\n(3) 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 If Harper is a knave then Amelia is a knave.", "Assume Harper is a knight. No contradiction is found in their claim that Amelia is a knight if and only if Sofia is a knight.", "Amelia cannot be a knight, because this would contradict the claim of their own that Harper is a knave.", "Amelia cannot be a knave, because this would contradict the claim of Harper that Amelia is a knight if and only if Sofia is a knight.", "We have exhausted all possibilities for Amelia, so let us go back and reconsider Harper.", "Assume Harper is a knave. No contradiction is found in their false claim that Amelia is a knight if and only if Sofia is a knight.", "Amelia cannot be a knight, because this would contradict the claim of Sofia that If Harper is a knave then Amelia is a knave.", "Amelia cannot be a knave, because this would contradict the false claim of their own that Harper is a knave.", "We have exhausted all possibilities for Amelia and Harper, so let us go back and reconsider Sofia.", "Assume Sofia is a knave. No contradiction is found in their false claim that If Harper is a knave then Amelia is a knave.", "Harper cannot be a knight, because this would contradict the false claim of Sofia that If Harper is a knave then Amelia is a knave.", "Assume Harper is a knave. No contradiction is found in their false claim that Amelia is a knight if and only if Sofia is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that Harper is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 2), ('lying', 1)), ('lying', 2), ('<=>', ('telling-truth', 1), ('telling-truth', 0)))", "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 3 inhabitants: Logan, James, and Lucas. \"Logan is a knight and Lucas is a knave,\" Logan claimed. In James's words: \"Logan is not a knave\". Lucas noted, \"Logan is a knight\". So who is a knight and who is a knave?", "names": ["Logan", "James", "Lucas"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false], "solution_text": "Logan is a knave, James is a knave, and Lucas is a knave.", "solution_text_format": "(1) Logan is a knave\n(2) James is a knave\n(3) 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 Logan 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 Logan that Logan is a knight and Lucas is a knave.", "Lucas cannot be a knave, because this would contradict the false claim of their own that Logan is a knight.", "We have exhausted all possibilities for Lucas, 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 and Lucas is a knave.", "Lucas cannot be a knight, because this would contradict the claim of their own that Logan is a knight.", "Assume Lucas is a knave. No contradiction is found in their false claim that Logan is a knight.", "James cannot be a knight, because this would contradict the claim of their own that Logan is not a knave.", "Assume James 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": "(('and', ('telling-truth', 0), ('lying', 2)), ('not', ('lying', 0)), ('telling-truth', 0))", "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 3 inhabitants: Isabella, Zoey, and Amelia. Isabella noted, \"If Amelia is a knave then Isabella is a knight\". Zoey told you that Isabella is not a knight. As Amelia put it, \"Zoey is a knight or Zoey is a knave\". So who is a knight and who is a knave?", "names": ["Isabella", "Zoey", "Amelia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Isabella is a knight, Zoey is a knave, and Amelia is a knight.", "solution_text_format": "(1) Isabella is a knight\n(2) Zoey is a knave\n(3) 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 If Amelia is a knave then Isabella is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that Zoey is a knight or Zoey is a knave.", "Zoey cannot be a knight, because this would contradict the claim of their own that Isabella is not a knight.", "Assume Zoey 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', 2), ('telling-truth', 0)), ('not', ('telling-truth', 0)), ('or', ('telling-truth', 1), ('lying', 1)))", "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 3 inhabitants: Harper, Jackson, and Grace. According to Harper, \"Harper is a knight if and only if Jackson is a knight\". As Jackson put it, \"If Harper is a knight then Harper is a knave\". \"Jackson is a knave and Jackson is a knight,\" Grace claimed. So who is a knight and who is a knave?", "names": ["Harper", "Jackson", "Grace"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Harper is a knave, Jackson is a knight, and Grace is a knave.", "solution_text_format": "(1) Harper is a knave\n(2) Jackson is a knight\n(3) 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 Harper is a knight. No contradiction is found in their claim that Harper is a knight if and only if Jackson is a knight.", "Jackson cannot be a knight, because this would contradict the claim of their own that If Harper is a knight then Harper is a knave.", "Jackson cannot be a knave, because this would contradict the claim of Harper that Harper is a knight if and only if Jackson is a knight.", "We have exhausted all possibilities for Jackson, 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 if and only if Jackson is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that If Harper is a knight then Harper is a knave.", "Grace cannot be a knight, because this would contradict the claim of their own that Jackson is a knave and Jackson is a knight.", "Assume Grace is a knave. No contradiction is found in their false claim that Jackson is a knave and Jackson is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 0), ('telling-truth', 1)), ('->', ('telling-truth', 0), ('lying', 0)), ('and', ('lying', 1), ('telling-truth', 1)))", "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 3 inhabitants: Grace, Sebastian, and Michael. In Grace's words: \"If Michael is a knave then Michael is a knight\". As Sebastian put it, \"Grace is not a knave\". Michael noted, \"Michael is a knight if and only if Grace is a knight\". So who is a knight and who is a knave?", "names": ["Grace", "Sebastian", "Michael"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Grace is a knight, Sebastian is a knight, and Michael is a knight.", "solution_text_format": "(1) Grace is a knight\n(2) Sebastian is a knight\n(3) 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 If Michael is a knave then Michael is a knight.", "Assume Michael is a knight. No contradiction is found in their claim that Michael is a knight if and only if Grace is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Grace is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 2), ('telling-truth', 2)), ('not', ('lying', 0)), ('<=>', ('telling-truth', 2), ('telling-truth', 0)))", "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 3 inhabitants: Sophia, Mason, and Ava. Sophia told you that Mason is not a knight. Mason asserted: \"Sophia is a knave and Ava is a knight\". \"Sophia is a knight and Mason is a knave,\" Ava claimed. So who is a knight and who is a knave?", "names": ["Sophia", "Mason", "Ava"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Sophia is a knight, Mason is a knave, and Ava is a knight.", "solution_text_format": "(1) Sophia is a knight\n(2) Mason is a knave\n(3) 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 Sophia 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 Sophia that Mason is not a knight.", "Assume Mason is a knave. No contradiction is found in their false claim that Sophia is a knave and Ava is a knight.", "Assume Ava is a knight. No contradiction is found in their claim that Sophia is a knight and Mason is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('and', ('lying', 0), ('telling-truth', 2)), ('and', ('telling-truth', 0), ('lying', 1)))", "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 3 inhabitants: Jack, Amelia, and Olivia. According to Jack, \"Olivia is a knave and Jack is a knight\". \"Jack is not a knight,\" Amelia claimed. Olivia said that If Jack is a knave then Amelia is a knight. So who is a knight and who is a knave?", "names": ["Jack", "Amelia", "Olivia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Jack is a knave, Amelia is a knight, and Olivia is a knight.", "solution_text_format": "(1) Jack is a knave\n(2) Amelia is a knight\n(3) 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 Jack is a knight. No contradiction is found in their claim that Olivia is a knave and Jack is a knight.", "Olivia cannot be a knight, because this would contradict the claim of Jack that Olivia is a knave and Jack is a knight.", "Olivia cannot be a knave, because this would contradict the false claim of their own that If Jack is a knave then Amelia is a knight.", "We have exhausted all possibilities for Olivia, so let us go back and reconsider Jack.", "Assume Jack is a knave. No contradiction is found in their false claim that Olivia is a knave and Jack is a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that If Jack is a knave then Amelia is a knight.", "Assume Amelia 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', ('lying', 2), ('telling-truth', 0)), ('not', ('telling-truth', 0)), ('->', ('lying', 0), ('telling-truth', 1)))", "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 3 inhabitants: Chloe, Oliver, and Jack. Chloe said that Oliver is not a knave. In a statement by Oliver: \"Chloe is not a knave\". Jack said, \"If Jack is a knight then Oliver is a knight.\" So who is a knight and who is a knave?", "names": ["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], "solution_text": "Chloe is a knight, Oliver is a knight, and Jack is a knight.", "solution_text_format": "(1) Chloe is a knight\n(2) Oliver is a knight\n(3) 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 Chloe 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 Chloe is not a knave.", "Assume Jack is a knight. No contradiction is found in their claim that If Jack is a knight then Oliver is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 1)), ('not', ('lying', 0)), ('->', ('telling-truth', 2), ('telling-truth', 1)))", "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 3 inhabitants: Emma, Luke, and Ella. Emma asserted: \"Luke is a knight or Luke is a knave\". According to Luke, \"If Emma is a knight then Ella is a knight\". Ella commented, \"If Emma is a knave then Luke is a knight\". So who is a knight and who is a knave?", "names": ["Emma", "Luke", "Ella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Emma is a knight, Luke is a knight, and Ella is a knight.", "solution_text_format": "(1) Emma is a knight\n(2) Luke is a knight\n(3) 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 Emma 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 Emma is a knight then Ella is a knight.", "Assume Ella is a knight. No contradiction is found in their claim that If Emma is a knave then Luke is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 1), ('lying', 1)), ('->', ('telling-truth', 0), ('telling-truth', 2)), ('->', ('lying', 0), ('telling-truth', 1)))", "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 3 inhabitants: Luke, Michael, and Elizabeth. \"Elizabeth is a knight,\" Luke mentioned. Michael commented, \"Luke is a knight\". Elizabeth was heard saying, \"Michael is a knave if and only if Luke is a knave\". So who is a knight and who is a knave?", "names": ["Luke", "Michael", "Elizabeth"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Luke is a knight, Michael is a knight, and Elizabeth is a knight.", "solution_text_format": "(1) Luke is a knight\n(2) Michael is a knight\n(3) 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 Luke 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 Michael is a knave if and only if Luke is a knave.", "Assume Michael 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', 2), ('telling-truth', 0), ('<=>', ('lying', 1), ('lying', 0)))", "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 3 inhabitants: Ava, David, and Amelia. Ava stated, \"David is a knave or David is a knight\". David said that Ava is a knight and Amelia is a knight. Amelia commented, \"David is a knight and David is a knave\". So who is a knight and who is a knave?", "names": ["Ava", "David", "Amelia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false], "solution_text": "Ava is a knight, David is a knave, and Amelia is a knave.", "solution_text_format": "(1) Ava is a knight\n(2) David is a knave\n(3) 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 David is a knave or David is a knight.", "Assume David is a knight. No contradiction is found in their claim that Ava is a knight and Amelia is a knight.", "Amelia cannot be a knight, because this would contradict the claim of their own that David is a knight and David is a knave.", "Amelia cannot be a knave, because this would contradict the claim of David that Ava is a knight and Amelia is a knight.", "We have exhausted all possibilities for Amelia, 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 Amelia is a knight.", "Amelia cannot be a knight, because this would contradict the false claim of David that Ava is a knight and Amelia is a knight.", "Assume Amelia 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', ('lying', 1), ('telling-truth', 1)), ('and', ('telling-truth', 0), ('telling-truth', 2)), ('and', ('telling-truth', 1), ('lying', 1)))", "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 3 inhabitants: Benjamin, Mia, and Jacob. In a statement by Benjamin: \"Mia is a knave and Mia is a knight\". Mia asserted: \"Benjamin is a knight and Jacob is a knave\". In Jacob's words: \"Benjamin is not a knight\". So who is a knight and who is a knave?", "names": ["Benjamin", "Mia", "Jacob"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Benjamin is a knave, Mia is a knave, and Jacob is a knight.", "solution_text_format": "(1) Benjamin is a knave\n(2) Mia is a knave\n(3) 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": ["Benjamin cannot be a knight, because this would contradict the claim of their own that Mia is a knave and Mia is a knight.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Mia is a knave and Mia is a knight.", "Mia cannot be a knight, because this would contradict the claim of their own that Benjamin is a knight and Jacob is a knave.", "Assume Mia is a knave. No contradiction is found in their false claim that Benjamin is a knight and Jacob is a knave.", "Assume Jacob 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": "(('and', ('lying', 1), ('telling-truth', 1)), ('and', ('telling-truth', 0), ('lying', 2)), ('not', ('telling-truth', 0)))", "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 3 inhabitants: Avery, Lily, and Penelope. \"Lily is not a knight,\" Avery declared. Lily said that Penelope is a knave and Avery is a knave. Penelope expressed that If Lily is a knave then Avery is a knave. So who is a knight and who is a knave?", "names": ["Avery", "Lily", "Penelope"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false], "solution_text": "Avery is a knight, Lily is a knave, and Penelope is a knave.", "solution_text_format": "(1) Avery is a knight\n(2) Lily is a knave\n(3) 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 Avery 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 Avery that Lily is not a knight.", "Assume Lily is a knave. No contradiction is found in their false claim that Penelope is a knave and Avery is a knave.", "Penelope cannot be a knight, because this would contradict the claim of their own that If Lily is a knave then Avery is a knave.", "Assume Penelope is a knave. No contradiction is found in their false claim that If Lily is a knave then Avery is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('and', ('lying', 2), ('lying', 0)), ('->', ('lying', 1), ('lying', 0)))", "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 3 inhabitants: Jacob, Mason, and Ella. Jacob noted, \"Mason is a knight if and only if Jacob is a knight\". Mason stated, \"Ella is not a knave\". According to Ella, \"Jacob is a knight and Ella is a knight\". So who is a knight and who is a knave?", "names": ["Jacob", "Mason", "Ella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Jacob is a knight, Mason is a knight, and Ella is a knight.", "solution_text_format": "(1) Jacob is a knight\n(2) Mason is a knight\n(3) 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 Jacob is a knight. No contradiction is found in their claim that Mason is a knight if and only if Jacob is a knight.", "Assume Mason 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 Jacob is a knight and Ella is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('telling-truth', 0)), ('not', ('lying', 2)), ('and', ('telling-truth', 0), ('telling-truth', 2)))", "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 3 inhabitants: Logan, Henry, and Grace. Logan remarked, \"If Henry is a knight then Grace is a knave\". In a statement by Henry: \"Logan is a knave\". Grace remarked, \"If Henry is a knight then Logan is a knight\". So who is a knight and who is a knave?", "names": ["Logan", "Henry", "Grace"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Logan is a knight, Henry is a knave, and Grace is a knight.", "solution_text_format": "(1) Logan is a knight\n(2) Henry is a knave\n(3) 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 Logan is a knight. No contradiction is found in their claim that If Henry is a knight then Grace is a knave.", "Henry cannot be a knight, because this would contradict the claim of their own that Logan is a knave.", "Assume Henry is a knave. No contradiction is found in their false claim that Logan is a knave.", "Assume Grace is a knight. No contradiction is found in their claim that If Henry is a knight then Logan is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 1), ('lying', 2)), ('lying', 0), ('->', ('telling-truth', 1), ('telling-truth', 0)))", "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 3 inhabitants: Mia, Lily, and Chloe. According to Mia, \"Mia is a knight if and only if Lily is a knave\". According to Lily, \"If Chloe is a knave then Mia is a knave\". Chloe was heard saying, \"Mia is not a knight\". So who is a knight and who is a knave?", "names": ["Mia", "Lily", "Chloe"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false], "solution_text": "Mia is a knight, Lily is a knave, and Chloe is a knave.", "solution_text_format": "(1) Mia is a knight\n(2) Lily is a knave\n(3) 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 Mia is a knight. No contradiction is found in their claim that Mia is a knight if and only if Lily is a knave.", "Lily cannot be a knight, because this would contradict the claim of Mia that Mia 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 If Chloe is a knave then Mia is a knave.", "Chloe cannot be a knight, because this would contradict the false claim of Lily that If Chloe is a knave then Mia is a knave.", "Assume Chloe 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', 0), ('lying', 1)), ('->', ('lying', 2), ('lying', 0)), ('not', ('telling-truth', 0)))", "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 3 inhabitants: Lucas, Luke, and Aurora. \"Lucas is a knight or Aurora is a knight,\" Lucas claimed. Luke stated, \"Aurora is a knight and Lucas is a knight\". Aurora noted, \"If Lucas is a knave then Luke is a knave\". So who is a knight and who is a knave?", "names": ["Lucas", "Luke", "Aurora"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Lucas is a knight, Luke is a knight, and Aurora is a knight.", "solution_text_format": "(1) Lucas is a knight\n(2) Luke is a knight\n(3) 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 Lucas is a knight. No contradiction is found in their claim that Lucas is a knight or Aurora is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that If Lucas is a knave then Luke is a knave.", "Assume Luke is a knight. No contradiction is found in their claim that Aurora is a knight and Lucas is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 0), ('telling-truth', 2)), ('and', ('telling-truth', 2), ('telling-truth', 0)), ('->', ('lying', 0), ('lying', 1)))", "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 3 inhabitants: Chloe, Sebastian, and Matthew. Chloe expressed that Sebastian is a knave and Chloe is a knight. As Sebastian put it, \"Matthew is a knave if and only if Sebastian is a knight\". Matthew told you that Chloe is a knave. So who is a knight and who is a knave?", "names": ["Chloe", "Sebastian", "Matthew"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false], "solution_text": "Chloe is a knight, Sebastian is a knave, and Matthew is a knave.", "solution_text_format": "(1) Chloe is a knight\n(2) Sebastian is a knave\n(3) 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 Chloe is a knight. No contradiction is found in their claim that Sebastian is a knave and Chloe is a knight.", "Sebastian cannot be a knight, because this would contradict the claim of Chloe that Sebastian is a knave and Chloe is a knight.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Matthew is a knave if and only if Sebastian is a knight.", "Matthew cannot be a knight, because this would contradict the false claim of Sebastian that Matthew is a knave if and only if Sebastian is a knight.", "Assume Matthew is a knave. No contradiction is found in their false claim that Chloe is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('telling-truth', 0)), ('<=>', ('lying', 2), ('telling-truth', 1)), ('lying', 0))", "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 3 inhabitants: Henry, David, and Aurora. Henry said, \"Aurora is a knight or Henry is a knight.\" \"Henry is not a knight,\" David mentioned. In Aurora's words: \"Aurora is a knight if and only if Henry is a knave\". So who is a knight and who is a knave?", "names": ["Henry", "David", "Aurora"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Henry is a knave, David is a knight, and Aurora is a knave.", "solution_text_format": "(1) Henry is a knave\n(2) David is a knight\n(3) 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 Aurora is a knight or Henry is a knight.", "Aurora cannot be a knight, because this would contradict the claim of their own that Aurora is a knight if and only if Henry is a knave.", "Aurora cannot be a knave, because this would contradict the false claim of their own that Aurora is a knight if and only if Henry is a knave.", "We have exhausted all possibilities for Aurora, so let us go back and reconsider Henry.", "Assume Henry is a knave. No contradiction is found in their false claim that Aurora is a knight or Henry is a knight.", "Aurora cannot be a knight, because this would contradict the false claim of Henry that Aurora is a knight or Henry is a knight.", "Assume Aurora is a knave. No contradiction is found in their false claim that Aurora is a knight if and only if Henry is a knave.", "Assume David is a knight. No contradiction is found in their claim that Henry is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 2), ('telling-truth', 0)), ('not', ('telling-truth', 0)), ('<=>', ('telling-truth', 2), ('lying', 0)))", "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 3 inhabitants: Scarlett, Benjamin, and Emily. Scarlett remarked, \"Benjamin is a knight\". \"If Scarlett is a knight then Emily is a knave\" - Benjamin. Emily said, \"If Benjamin is a knight then Emily is a knight.\" So who is a knight and who is a knave?", "names": ["Scarlett", "Benjamin", "Emily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Scarlett is a knight, Benjamin is a knight, and Emily is a knave.", "solution_text_format": "(1) Scarlett is a knight\n(2) Benjamin is a knight\n(3) 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 Scarlett 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 If Scarlett is a knight then Emily is a knave.", "Emily cannot be a knight, because this would contradict the claim of Benjamin that If Scarlett is a knight then Emily is a knave.", "Assume Emily is a knave. No contradiction is found in their false claim that If Benjamin is a knight then Emily is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 1), ('->', ('telling-truth', 0), ('lying', 2)), ('->', ('telling-truth', 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 3 inhabitants: Noah, Joseph, and Sofia. Noah expressed that Sofia is a knight and Noah is a knight. Joseph was heard saying, \"If Joseph is a knight then Sofia is a knave\". \"Sofia is a knight if and only if Noah is a knave,\" Sofia declared. So who is a knight and who is a knave?", "names": ["Noah", "Joseph", "Sofia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Noah is a knave, Joseph is a knight, and Sofia is a knave.", "solution_text_format": "(1) Noah is a knave\n(2) Joseph is a knight\n(3) 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 Sofia is a knight and Noah is a knight.", "Sofia cannot be a knight, because this would contradict the claim of their own that Sofia is a knight if and only if Noah is a knave.", "Sofia cannot be a knave, because this would contradict the claim of Noah that Sofia is a knight and Noah is a knight.", "We have exhausted all possibilities for Sofia, so let us go back and reconsider Noah.", "Assume Noah is a knave. No contradiction is found in their false claim that Sofia is a knight and Noah is a knight.", "Assume Sofia is a knight. No contradiction is found in their claim that Sofia is a knight if and only if Noah is a knave.", "Joseph cannot be a knight, because this would contradict the claim of their own that If Joseph is a knight then Sofia is a knave.", "Joseph cannot be a knave, because this would contradict the false claim of their own that If Joseph is a knight then Sofia is a knave.", "We have exhausted all possibilities for Joseph, so let us go back and reconsider Sofia.", "Assume Sofia is a knave. No contradiction is found in their false claim that Sofia is a knight if and only if Noah is a knave.", "Assume Joseph is a knight. No contradiction is found in their claim that If Joseph is a knight then Sofia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 2), ('telling-truth', 0)), ('->', ('telling-truth', 1), ('lying', 2)), ('<=>', ('telling-truth', 2), ('lying', 0)))", "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 3 inhabitants: Logan, Ethan, and Jack. As Logan put it, \"If Jack is a knave then Ethan is a knave\". Ethan asserted: \"Jack is a knave and Ethan is a knight\". Jack told you that Ethan is a knight. So who is a knight and who is a knave?", "names": ["Logan", "Ethan", "Jack"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false], "solution_text": "Logan is a knight, Ethan is a knave, and Jack is a knave.", "solution_text_format": "(1) Logan is a knight\n(2) Ethan is a knave\n(3) 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 Logan is a knight. No contradiction is found in their claim that If Jack is a knave then Ethan is a knave.", "Assume Jack 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 Jack is a knave and Ethan is a knight.", "Ethan cannot be a knave, because this would contradict the claim of Jack that Ethan is a knight.", "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.", "Ethan cannot be a knight, because this would contradict the claim of Logan that If Jack is a knave then Ethan is a knave.", "Assume Ethan is a knave. No contradiction is found in their false claim that Jack is a knave and Ethan is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 2), ('lying', 1)), ('and', ('lying', 2), ('telling-truth', 1)), ('telling-truth', 1))", "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 3 inhabitants: Amelia, Liam, and Isabella. Amelia stated, \"Isabella is not a knave\". \"Isabella is a knave or Amelia is a knight,\" Liam claimed. Isabella stated, \"Liam is not a knave\". So who is a knight and who is a knave?", "names": ["Amelia", "Liam", "Isabella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Amelia is a knight, Liam is a knight, and Isabella is a knight.", "solution_text_format": "(1) Amelia is a knight\n(2) Liam is a knight\n(3) 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 Amelia 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 Liam is not a knave.", "Assume Liam is a knight. No contradiction is found in their claim that Isabella is a knave or Amelia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 2)), ('or', ('lying', 2), ('telling-truth', 0)), ('not', ('lying', 1)))", "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 3 inhabitants: Benjamin, Owen, and Jackson. Benjamin told you that Jackson is a knight or Jackson is a knave. Owen expressed that Jackson is not a knight. Jackson commented, \"Benjamin is a knight\". So who is a knight and who is a knave?", "names": ["Benjamin", "Owen", "Jackson"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Benjamin is a knight, Owen is a knave, and Jackson is a knight.", "solution_text_format": "(1) Benjamin is a knight\n(2) Owen is a knave\n(3) 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 Benjamin is a knight. No contradiction is found in their claim that Jackson is a knight or Jackson is a knave.", "Assume Jackson is a knight. No contradiction is found in their claim that Benjamin is a knight.", "Owen cannot be a knight, because this would contradict the claim of their own that Jackson is not a knight.", "Assume Owen 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": "(('or', ('telling-truth', 2), ('lying', 2)), ('not', ('telling-truth', 2)), ('telling-truth', 0))", "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 3 inhabitants: Jacob, Amelia, and Benjamin. According to Jacob, \"If Amelia is a knave then Benjamin is a knave\". Amelia commented, \"Jacob is a knave or Jacob is a knight\". Benjamin noted, \"Amelia is a knight if and only if Amelia is a knave\". So who is a knight and who is a knave?", "names": ["Jacob", "Amelia", "Benjamin"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Jacob is a knight, Amelia is a knight, and Benjamin is a knave.", "solution_text_format": "(1) Jacob is a knight\n(2) Amelia is a knight\n(3) 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 Jacob is a knight. No contradiction is found in their claim that If Amelia is a knave then Benjamin is a knave.", "Assume Amelia is a knight. No contradiction is found in their claim that Jacob is a knave or Jacob is a knight.", "Benjamin 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 Benjamin is a knave. No contradiction is found in their false claim that Amelia is a knight if and only if Amelia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 1), ('lying', 2)), ('or', ('lying', 0), ('telling-truth', 0)), ('<=>', ('telling-truth', 1), ('lying', 1)))", "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 3 inhabitants: Sophia, Charlotte, and Aiden. \"Aiden is a knave and Aiden is a knight\" - Sophia. Charlotte commented, \"Sophia is not a knight\". \"Aiden is a knight and Charlotte is a knave,\" Aiden declared. So who is a knight and who is a knave?", "names": ["Sophia", "Charlotte", "Aiden"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Sophia is a knave, Charlotte is a knight, and Aiden is a knave.", "solution_text_format": "(1) Sophia is a knave\n(2) Charlotte is a knight\n(3) 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": ["Sophia cannot be a knight, because this would contradict the claim of their own that Aiden is a knave and Aiden is a knight.", "Assume Sophia is a knave. No contradiction is found in their false claim that Aiden is a knave and Aiden is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that Aiden is a knight and Charlotte is a knave.", "Charlotte cannot be a knight, because this would contradict the claim of Aiden that Aiden is a knight and Charlotte is a knave.", "Charlotte cannot be a knave, because this would contradict the false claim of their own that Sophia is not a knight.", "We have exhausted all possibilities for Charlotte, 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 Charlotte is a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that Sophia is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('telling-truth', 2)), ('not', ('telling-truth', 0)), ('and', ('telling-truth', 2), ('lying', 1)))", "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 3 inhabitants: Mia, Lucas, and Grace. Mia noted, \"Mia is a knight if and only if Lucas is a knight\". \"Mia is not a knight,\" Lucas claimed. Grace expressed that Lucas is a knave. So who is a knight and who is a knave?", "names": ["Mia", "Lucas", "Grace"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Mia is a knave, Lucas is a knight, and Grace is a knave.", "solution_text_format": "(1) Mia is a knave\n(2) Lucas is a knight\n(3) 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 Mia is a knight. No contradiction is found in their claim that Mia is a knight if and only if Lucas is a knight.", "Lucas cannot be a knight, because this would contradict the claim of their own that Mia is not a knight.", "Lucas cannot be a knave, because this would contradict the claim of Mia that Mia is a knight if and only if Lucas is a knight.", "We have exhausted all possibilities for 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 if and only if Lucas is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that Mia is not a knight.", "Grace cannot be a knight, because this would contradict the claim of their own that Lucas is a knave.", "Assume Grace 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": "(('<=>', ('telling-truth', 0), ('telling-truth', 1)), ('not', ('telling-truth', 0)), ('lying', 1))", "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 3 inhabitants: Logan, Liam, and Sebastian. In Logan's words: \"If Sebastian is a knight then Liam is a knave\". \"Logan is a knight if and only if Sebastian is a knave,\" Liam mentioned. \"Logan is a knight,\" Sebastian declared. So who is a knight and who is a knave?", "names": ["Logan", "Liam", "Sebastian"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Logan is a knight, Liam is a knave, and Sebastian is a knight.", "solution_text_format": "(1) Logan is a knight\n(2) Liam is a knave\n(3) 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 Logan is a knight. No contradiction is found in their claim that If Sebastian is a knight then Liam is a knave.", "Assume Sebastian is a knight. No contradiction is found in their claim that Logan is a knight.", "Liam cannot be a knight, because this would contradict the claim of Logan that If Sebastian is a knight then Liam is a knave.", "Assume Liam is a knave. No contradiction is found in their false claim that Logan is a knight if and only if Sebastian is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 2), ('lying', 1)), ('<=>', ('telling-truth', 0), ('lying', 2)), ('telling-truth', 0))", "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 3 inhabitants: Elizabeth, Samuel, and Lily. Elizabeth commented, \"If Samuel is a knave then Samuel is a knight\". Samuel noted, \"Elizabeth is a knight or Elizabeth is a knave\". According to Lily, \"Elizabeth is not a knave\". So who is a knight and who is a knave?", "names": ["Elizabeth", "Samuel", "Lily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Elizabeth is a knight, Samuel is a knight, and Lily is a knight.", "solution_text_format": "(1) Elizabeth is a knight\n(2) Samuel is a knight\n(3) 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 Elizabeth 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 Elizabeth is a knight or Elizabeth is a knave.", "Assume Lily is a knight. No contradiction is found in their claim that Elizabeth is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 1), ('telling-truth', 1)), ('or', ('telling-truth', 0), ('lying', 0)), ('not', ('lying', 0)))", "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 3 inhabitants: Jacob, James, and Sofia. Jacob said, \"James is a knight.\" In a statement by James: \"Sofia is a knight\". As Sofia put it, \"James is a knave or James is a knight\". So who is a knight and who is a knave?", "names": ["Jacob", "James", "Sofia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Jacob is a knight, James is a knight, and Sofia is a knight.", "solution_text_format": "(1) Jacob is a knight\n(2) James is a knight\n(3) 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 Jacob 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 Sofia is a knight.", "Assume Sofia is a knight. No contradiction is found in their claim that James is a knave or James is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 1), ('telling-truth', 2), ('or', ('lying', 1), ('telling-truth', 1)))", "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 3 inhabitants: Ava, Grace, and Daniel. \"Ava is a knight if and only if Grace is a knight\" - Ava. \"Ava is not a knight,\" Grace declared. \"Ava is a knight or Ava is a knave\" - Daniel. So who is a knight and who is a knave?", "names": ["Ava", "Grace", "Daniel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Ava is a knave, Grace is a knight, and Daniel is a knight.", "solution_text_format": "(1) Ava is a knave\n(2) Grace is a knight\n(3) 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 Ava is a knight. No contradiction is found in their claim that Ava 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 Ava is not a knight.", "Grace cannot be a knave, because this would contradict the claim of Ava that Ava is a knight if and only if Grace is a knight.", "We have exhausted all possibilities for Grace, so let us go back and reconsider Ava.", "Assume Ava is a knave. No contradiction is found in their false claim that Ava is a knight if and only if Grace is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that Ava is not a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that Ava is a knight or Ava is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 0), ('telling-truth', 1)), ('not', ('telling-truth', 0)), ('or', ('telling-truth', 0), ('lying', 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 3 inhabitants: Abigail, Sebastian, and Victoria. \"If Abigail is a knight then Sebastian is a knight\" - Abigail. \"If Sebastian is a knight then Victoria is a knight\" - Sebastian. Victoria said that Abigail is a knight. So who is a knight and who is a knave?", "names": ["Abigail", "Sebastian", "Victoria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Abigail is a knight, Sebastian is a knight, and Victoria is a knight.", "solution_text_format": "(1) Abigail is a knight\n(2) Sebastian is a knight\n(3) 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 Abigail is a knight. No contradiction is found in their claim that If Abigail is a knight then Sebastian is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that If Sebastian is a knight then Victoria is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that Abigail is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 0), ('telling-truth', 1)), ('->', ('telling-truth', 1), ('telling-truth', 2)), ('telling-truth', 0))", "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 3 inhabitants: Evelyn, Alexander, and Jackson. Evelyn was heard saying, \"Jackson is a knight or Evelyn is a knight\". \"Evelyn is a knave and Evelyn is a knight,\" Alexander mentioned. In a statement by Jackson: \"Alexander is a knight or Evelyn is a knave\". So who is a knight and who is a knave?", "names": ["Evelyn", "Alexander", "Jackson"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false], "solution_text": "Evelyn is a knight, Alexander is a knave, and Jackson is a knave.", "solution_text_format": "(1) Evelyn is a knight\n(2) Alexander is a knave\n(3) 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 Evelyn is a knight. No contradiction is found in their claim that Jackson is a knight or Evelyn is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that Alexander is a knight or Evelyn is a knave.", "Alexander cannot be a knight, because this would contradict the claim of their own that Evelyn is a knave and Evelyn is a knight.", "Alexander cannot be a knave, because this would contradict the claim of Jackson that Alexander is a knight or Evelyn is a knave.", "We have exhausted all possibilities for Alexander, so let us go back and reconsider Jackson.", "Assume Jackson is a knave. No contradiction is found in their false claim that Alexander is a knight or Evelyn is a knave.", "Alexander cannot be a knight, because this would contradict the claim of their own that Evelyn is a knave and Evelyn is a knight.", "Assume Alexander is a knave. No contradiction is found in their false claim that Evelyn is a knave and Evelyn is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 2), ('telling-truth', 0)), ('and', ('lying', 0), ('telling-truth', 0)), ('or', ('telling-truth', 1), ('lying', 0)))", "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 3 inhabitants: Amelia, Matthew, and Chloe. Amelia said, \"Matthew is a knave if and only if Chloe is a knight.\" Matthew remarked, \"Chloe is a knight or Amelia is a knave\". \"If Matthew is a knight then Chloe is a knight,\" Chloe declared. So who is a knight and who is a knave?", "names": ["Amelia", "Matthew", "Chloe"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Amelia is a knave, Matthew is a knight, and Chloe is a knight.", "solution_text_format": "(1) Amelia is a knave\n(2) Matthew is a knight\n(3) 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 Amelia is a knight. No contradiction is found in their claim that Matthew is a knave if and only if Chloe is a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that Chloe is a knight or Amelia is a knave.", "Chloe cannot be a knight, because this would contradict the claim of Amelia that Matthew is a knave if and only if Chloe is a knight.", "Chloe cannot be a knave, because this would contradict the claim of Matthew that Chloe is a knight or Amelia is a knave.", "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 Chloe is a knight or Amelia is a knave.", "Chloe cannot be a knight, because this would contradict the false claim of Matthew that Chloe is a knight or Amelia is a knave.", "Chloe cannot be a knave, because this would contradict the claim of Amelia that Matthew is a knave if and only if Chloe is a knight.", "We have exhausted all possibilities for Chloe and Matthew, so let us go back and reconsider Amelia.", "Assume Amelia is a knave. No contradiction is found in their false claim that Matthew is a knave if and only if Chloe is a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that Chloe is a knight or Amelia is a knave.", "Assume Chloe is a knight. No contradiction is found in their claim that If Matthew is a knight then Chloe is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('telling-truth', 2)), ('or', ('telling-truth', 2), ('lying', 0)), ('->', ('telling-truth', 1), ('telling-truth', 2)))", "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 3 inhabitants: Daniel, Isabella, and Olivia. \"Isabella is a knight if and only if Isabella is a knave,\" Daniel mentioned. Isabella said, \"If Daniel is a knight then Olivia is a knave.\" Olivia asserted: \"Isabella is a knave if and only if Daniel is a knight\". So who is a knight and who is a knave?", "names": ["Daniel", "Isabella", "Olivia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Daniel is a knave, Isabella is a knight, and Olivia is a knight.", "solution_text_format": "(1) Daniel is a knave\n(2) Isabella is a knight\n(3) 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": ["Daniel cannot be a knight, because this would contradict the claim of their own that Isabella is a knight if and only if Isabella is a knave.", "Assume Daniel is a knave. No contradiction is found in their false claim that Isabella is a knight if and only if Isabella is a knave.", "Assume Isabella is a knight. No contradiction is found in their claim that If Daniel is a knight then Olivia is a knave.", "Assume Olivia is a knight. No contradiction is found in their claim that Isabella is a knave if and only if Daniel is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('lying', 1)), ('->', ('telling-truth', 0), ('lying', 2)), ('<=>', ('lying', 1), ('telling-truth', 0)))", "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 3 inhabitants: Daniel, Isabella, and Matthew. According to Daniel, \"Isabella is a knight if and only if Isabella is a knave\". As Isabella put it, \"Daniel is a knave and Matthew is a knight\". In Matthew's words: \"Daniel is not a knave\". So who is a knight and who is a knave?", "names": ["Daniel", "Isabella", "Matthew"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false], "solution_text": "Daniel is a knave, Isabella is a knave, and Matthew is a knave.", "solution_text_format": "(1) Daniel is a knave\n(2) Isabella is a knave\n(3) 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": ["Daniel cannot be a knight, because this would contradict the claim of their own that Isabella is a knight if and only if Isabella is a knave.", "Assume Daniel is a knave. No contradiction is found in their false claim that Isabella is a knight if and only if Isabella is a knave.", "Assume Isabella is a knight. No contradiction is found in their claim that Daniel is a knave and Matthew is a knight.", "Matthew cannot be a knight, because this would contradict the claim of their own that Daniel is not a knave.", "Matthew cannot be a knave, because this would contradict the claim of Isabella that Daniel is a knave and Matthew is a knight.", "We have exhausted all possibilities for Matthew, 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 and Matthew is a knight.", "Matthew cannot be a knight, because this would contradict the false claim of Isabella that Daniel is a knave and Matthew is a knight.", "Assume Matthew is a knave. No contradiction is found in their false claim that Daniel is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('lying', 1)), ('and', ('lying', 0), ('telling-truth', 2)), ('not', ('lying', 0)))", "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 3 inhabitants: Matthew, Olivia, and Ethan. Matthew was heard saying, \"If Ethan is a knight then Olivia is a knave\". Olivia stated, \"Ethan is not a knight\". \"Matthew is a knave and Ethan is a knight\" - Ethan. So who is a knight and who is a knave?", "names": ["Matthew", "Olivia", "Ethan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Matthew is a knight, Olivia is a knight, and Ethan is a knave.", "solution_text_format": "(1) Matthew is a knight\n(2) Olivia is a knight\n(3) 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 Matthew is a knight. No contradiction is found in their claim that If Ethan is a knight then Olivia is a knave.", "Ethan cannot be a knight, because this would contradict the claim of their own that Matthew is a knave and Ethan is a knight.", "Assume Ethan is a knave. No contradiction is found in their false claim that Matthew is a knave and Ethan is a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that Ethan is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 2), ('lying', 1)), ('not', ('telling-truth', 2)), ('and', ('lying', 0), ('telling-truth', 2)))", "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 3 inhabitants: David, Isabella, and Michael. David remarked, \"If Michael is a knight then Michael is a knave\". Isabella said, \"Michael is a knave or Michael is a knight.\" Michael noted, \"Michael is a knight if and only if David is a knave\". So who is a knight and who is a knave?", "names": ["David", "Isabella", "Michael"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "David is a knave, Isabella is a knight, and Michael is a knight.", "solution_text_format": "(1) David is a knave\n(2) Isabella is a knight\n(3) 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 David is a knight. No contradiction is found in their claim that If Michael is a knight then Michael is a knave.", "Michael cannot be a knight, because this would contradict the claim of David that If Michael is a knight then Michael is a knave.", "Michael cannot be a knave, because this would contradict the false claim of their own that Michael is a knight if and only if David is a knave.", "We have exhausted all possibilities for Michael, so let us go back and reconsider David.", "Assume David is a knave. No contradiction is found in their false claim that If Michael is a knight then Michael is a knave.", "Assume Michael is a knight. No contradiction is found in their claim that Michael is a knight if and only if David is a knave.", "Assume Isabella is a knight. No contradiction is found in their claim that Michael is a knave or Michael is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 2), ('lying', 2)), ('or', ('lying', 2), ('telling-truth', 2)), ('<=>', ('telling-truth', 2), ('lying', 0)))", "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 3 inhabitants: Ethan, Jackson, and Scarlett. In a statement by Ethan: \"Scarlett is a knight\". Jackson stated, \"If Ethan is a knight then Scarlett is a knave\". Scarlett told you that Jackson is a knave and Ethan is a knave. So who is a knight and who is a knave?", "names": ["Ethan", "Jackson", "Scarlett"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Ethan is a knave, Jackson is a knight, and Scarlett is a knave.", "solution_text_format": "(1) Ethan is a knave\n(2) Jackson is a knight\n(3) 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 Ethan 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 Jackson is a knave and Ethan is a knave.", "Scarlett cannot be a knave, because this would contradict the claim of Ethan that Scarlett 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 a knight.", "Scarlett cannot be a knight, because this would contradict the false claim of Ethan that Scarlett is a knight.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Jackson is a knave and Ethan is a knave.", "Assume Jackson is a knight. No contradiction is found in their claim that If Ethan is a knight then Scarlett is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 2), ('->', ('telling-truth', 0), ('lying', 2)), ('and', ('lying', 1), ('lying', 0)))", "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 3 inhabitants: Daniel, Mia, and Aurora. According to Daniel, \"Aurora is a knight and Mia is a knave\". Mia asserted: \"Aurora is a knight or Daniel is a knave\". \"Mia is a knave if and only if Mia is a knight,\" Aurora mentioned. So who is a knight and who is a knave?", "names": ["Daniel", "Mia", "Aurora"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Daniel is a knave, Mia is a knight, and Aurora is a knave.", "solution_text_format": "(1) Daniel is a knave\n(2) Mia is a knight\n(3) 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 Daniel is a knight. No contradiction is found in their claim that Aurora is a knight and Mia is a knave.", "Aurora cannot be a knight, because this would contradict the claim of their own that Mia is a knave if and only if Mia is a knight.", "Aurora cannot be a knave, because this would contradict the claim of Daniel that Aurora is a knight and Mia is a knave.", "We have exhausted all possibilities for Aurora, so let us go back and reconsider Daniel.", "Assume Daniel is a knave. No contradiction is found in their false claim that Aurora is a knight and Mia is a knave.", "Aurora cannot be a knight, because this would contradict the claim of their own that Mia is a knave if and only if Mia is a knight.", "Assume Aurora is a knave. No contradiction is found in their false claim that Mia is a knave if and only if Mia is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that Aurora is a knight or Daniel is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 2), ('lying', 1)), ('or', ('telling-truth', 2), ('lying', 0)), ('<=>', ('lying', 1), ('telling-truth', 1)))", "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 3 inhabitants: Owen, Jack, and Jackson. Owen was heard saying, \"Jackson is a knight or Owen is a knight\". Jack remarked, \"Jackson is a knight or Jackson is a knave\". Jackson noted, \"If Jack is a knave then Owen is a knave\". So who is a knight and who is a knave?", "names": ["Owen", "Jack", "Jackson"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Owen is a knight, Jack is a knight, and Jackson is a knight.", "solution_text_format": "(1) Owen is a knight\n(2) Jack is a knight\n(3) 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 Owen is a knight. No contradiction is found in their claim that Jackson is a knight or Owen is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that If Jack is a knave then Owen is a knave.", "Assume Jack is a knight. No contradiction is found in their claim that Jackson is a knight or Jackson is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 2), ('telling-truth', 0)), ('or', ('telling-truth', 2), ('lying', 2)), ('->', ('lying', 1), ('lying', 0)))", "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 3 inhabitants: Harper, Ella, and David. \"Ella is a knave if and only if Harper is a knight,\" Harper mentioned. In a statement by Ella: \"Harper is a knight\". \"If David is a knight then Ella is a knave,\" David mentioned. So who is a knight and who is a knave?", "names": ["Harper", "Ella", "David"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Harper is a knave, Ella is a knave, and David is a knight.", "solution_text_format": "(1) Harper is a knave\n(2) Ella is a knave\n(3) 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 Harper 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 Harper that Ella is a knave if and only if Harper is a knight.", "Ella 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 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 knave if and only if Harper is a knight.", "Ella cannot be a knight, because this would contradict the false claim of Harper that Ella is a knave if and only if Harper is a knight.", "Assume Ella is a knave. No contradiction is found in their false claim that Harper is a knight.", "Assume David is a knight. No contradiction is found in their claim that If David is a knight then Ella is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('telling-truth', 0)), ('telling-truth', 0), ('->', ('telling-truth', 2), ('lying', 1)))", "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 3 inhabitants: Ava, Harper, and Benjamin. \"Harper is a knave or Benjamin is a knave\" - Ava. \"Harper is a knight if and only if Benjamin is a knight\" - Harper. \"Ava is a knight,\" Benjamin declared. So who is a knight and who is a knave?", "names": ["Ava", "Harper", "Benjamin"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Ava is a knight, Harper is a knave, and Benjamin is a knight.", "solution_text_format": "(1) Ava is a knight\n(2) Harper is a knave\n(3) 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 Ava is a knight. No contradiction is found in their claim that Harper is a knave or Benjamin is a knave.", "Assume Harper is a knight. No contradiction is found in their claim that Harper is a knight if and only if Benjamin is a knight.", "Benjamin cannot be a knight, because this would contradict the claim of Ava that Harper is a knave or Benjamin is a knave.", "Benjamin cannot be a knave, because this would contradict the claim of Harper that Harper 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 Harper.", "Assume Harper is a knave. No contradiction is found in their false claim that Harper is a knight if and only if Benjamin is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that Ava is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('lying', 2)), ('<=>', ('telling-truth', 1), ('telling-truth', 2)), ('telling-truth', 0))", "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 3 inhabitants: Jackson, Avery, and Matthew. As Jackson put it, \"Matthew is a knight or Jackson is a knight\". Avery told you that Jackson is not a knave. Matthew asserted: \"Avery is a knight or Jackson is a knave\". So who is a knight and who is a knave?", "names": ["Jackson", "Avery", "Matthew"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Jackson is a knight, Avery is a knight, and Matthew is a knight.", "solution_text_format": "(1) Jackson is a knight\n(2) Avery is a knight\n(3) 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 Jackson is a knight. No contradiction is found in their claim that Matthew is a knight or Jackson is a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that Avery is a knight or Jackson is a knave.", "Assume Avery 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": "(('or', ('telling-truth', 2), ('telling-truth', 0)), ('not', ('lying', 0)), ('or', ('telling-truth', 1), ('lying', 0)))", "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 3 inhabitants: Emma, Harper, and William. Emma said that William is not a knight. Harper noted, \"If Harper is a knight then William is a knight\". \"Harper is a knight\" - William. So who is a knight and who is a knave?", "names": ["Emma", "Harper", "William"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Emma is a knave, Harper is a knight, and William is a knight.", "solution_text_format": "(1) Emma is a knave\n(2) Harper is a knight\n(3) 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 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 Emma that William is not a knight.", "Assume William 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 claim of their own that If Harper is a knight then William is a knight.", "Harper cannot be a knave, because this would contradict the false claim of their own that If Harper is a knight then William is a knight.", "We have exhausted all possibilities for Harper and William, so let us go back and reconsider Emma.", "Assume Emma 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 Harper is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that If Harper is a knight then William is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 2)), ('->', ('telling-truth', 1), ('telling-truth', 2)), ('telling-truth', 1))", "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 3 inhabitants: Ava, Amelia, and William. Ava asserted: \"If Amelia is a knave then William is a knave\". \"William is a knave and Ava is a knave,\" Amelia declared. William stated, \"Amelia is not a knight\". So who is a knight and who is a knave?", "names": ["Ava", "Amelia", "William"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Ava is a knave, Amelia is a knave, and William is a knight.", "solution_text_format": "(1) Ava is a knave\n(2) Amelia is a knave\n(3) 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 Ava is a knight. No contradiction is found in their claim that If Amelia is a knave then William is a knave.", "Amelia cannot be a knight, because this would contradict the claim of their own that William is a knave and Ava is a knave.", "Assume Amelia is a knave. No contradiction is found in their false claim that William is a knave and Ava is a knave.", "William cannot be a knight, because this would contradict the claim of Ava that If Amelia is a knave then William is a knave.", "William cannot be a knave, because this would contradict the false claim of their own that Amelia is not a knight.", "We have exhausted all possibilities for William and Amelia, so let us go back and reconsider Ava.", "Assume Ava is a knave. No contradiction is found in their false claim that If Amelia is a knave then William is a knave.", "Amelia cannot be a knight, because this would contradict the false claim of Ava that If Amelia is a knave then William is a knave.", "Assume Amelia is a knave. No contradiction is found in their false claim that William is a knave and Ava is a knave.", "Assume William is a knight. No contradiction is found in their claim that Amelia is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 1), ('lying', 2)), ('and', ('lying', 2), ('lying', 0)), ('not', ('telling-truth', 1)))", "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 3 inhabitants: Jacob, Zoey, and Sebastian. Jacob asserted: \"Sebastian is not a knave\". \"Sebastian is a knight and Jacob is a knave,\" Zoey claimed. As Sebastian put it, \"Zoey is a knave and Zoey is a knight\". So who is a knight and who is a knave?", "names": ["Jacob", "Zoey", "Sebastian"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false], "solution_text": "Jacob is a knave, Zoey is a knave, and Sebastian is a knave.", "solution_text_format": "(1) Jacob is a knave\n(2) Zoey is a knave\n(3) 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 Jacob 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 Zoey is a knave and Zoey is a knight.", "Sebastian cannot be a knave, because this would contradict the claim of Jacob that Sebastian is not a knave.", "We have exhausted all possibilities for Sebastian, so let us go back and reconsider Jacob.", "Assume Jacob 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 Jacob that Sebastian is not a knave.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Zoey is a knave and Zoey is a knight.", "Zoey cannot be a knight, because this would contradict the claim of their own that Sebastian is a knight and Jacob is a knave.", "Assume Zoey is a knave. No contradiction is found in their false claim that Sebastian is a knight and Jacob is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 2)), ('and', ('telling-truth', 2), ('lying', 0)), ('and', ('lying', 1), ('telling-truth', 1)))", "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 3 inhabitants: Sofia, William, and Mason. \"If William is a knave then William is a knight\" - Sofia. William asserted: \"If Sofia is a knight then Mason is a knave\". As Mason put it, \"Mason is a knight\". So who is a knight and who is a knave?", "names": ["Sofia", "William", "Mason"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Sofia is a knight, William is a knight, and Mason is a knave.", "solution_text_format": "(1) Sofia is a knight\n(2) William is a knight\n(3) 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 Sofia is a knight. No contradiction is found in their claim that If William is a knave then William is a knight.", "Assume William is a knight. No contradiction is found in their claim that If Sofia is a knight then Mason is a knave.", "Mason cannot be a knight, because this would contradict the claim of William that If Sofia is a knight then Mason is a knave.", "Assume Mason is a knave. No contradiction is found in their false claim that Mason is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 1), ('telling-truth', 1)), ('->', ('telling-truth', 0), ('lying', 2)), ('telling-truth', 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 3 inhabitants: Amelia, Luke, and Matthew. In a statement by Amelia: \"Luke is not a knave\". \"Amelia is a knight and Amelia is a knave,\" Luke declared. Matthew noted, \"If Amelia is a knight then Luke is a knave\". So who is a knight and who is a knave?", "names": ["Amelia", "Luke", "Matthew"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Amelia is a knave, Luke is a knave, and Matthew is a knight.", "solution_text_format": "(1) Amelia is a knave\n(2) Luke is a knave\n(3) 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 Amelia is a knight. No contradiction is found in their claim that Luke is not a knave.", "Luke cannot be a knight, because this would contradict the claim of their own that Amelia is a knight and Amelia is a knave.", "Luke cannot be a knave, because this would contradict the claim of Amelia that Luke is not a knave.", "We have exhausted all possibilities for Luke, so let us go back and reconsider Amelia.", "Assume Amelia 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 Amelia that Luke is not a knave.", "Assume Luke is a knave. No contradiction is found in their false claim that Amelia is a knight and Amelia is a knave.", "Assume Matthew is a knight. No contradiction is found in their claim that If Amelia is a knight then Luke is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 1)), ('and', ('telling-truth', 0), ('lying', 0)), ('->', ('telling-truth', 0), ('lying', 1)))", "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 3 inhabitants: Scarlett, Evelyn, and Zoey. Scarlett said, \"Evelyn is a knave and Zoey is a knave.\" In Evelyn's words: \"Zoey is a knave\". Zoey said, \"If Scarlett is a knight then Scarlett is a knave.\" So who is a knight and who is a knave?", "names": ["Scarlett", "Evelyn", "Zoey"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Scarlett is a knave, Evelyn is a knave, and Zoey is a knight.", "solution_text_format": "(1) Scarlett is a knave\n(2) Evelyn is a knave\n(3) 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 Scarlett is a knight. No contradiction is found in their claim that Evelyn is a knave and Zoey is a knave.", "Evelyn cannot be a knight, because this would contradict the claim of Scarlett that Evelyn is a knave and Zoey is a knave.", "Assume Evelyn 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 Scarlett that Evelyn is a knave and Zoey is a knave.", "Zoey cannot be a knave, because this would contradict the false claim of Evelyn that Zoey is a knave.", "We have exhausted all possibilities for Zoey and 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 and Zoey is a knave.", "Assume Evelyn 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 Evelyn that Zoey is a knave.", "Zoey cannot be a knave, because this would contradict the false claim of their own that If Scarlett is a knight then Scarlett is a knave.", "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 knave.", "Assume Zoey is a knight. No contradiction is found in their claim that If Scarlett is a knight then Scarlett is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('lying', 2)), ('lying', 2), ('->', ('telling-truth', 0), ('lying', 0)))", "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 3 inhabitants: Evelyn, Benjamin, and Sofia. Evelyn noted, \"Benjamin is not a knave\". Benjamin expressed that Sofia is a knight if and only if Evelyn is a knave. Sofia noted, \"Sofia is a knight if and only if Evelyn is a knight\". So who is a knight and who is a knave?", "names": ["Evelyn", "Benjamin", "Sofia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Evelyn is a knight, Benjamin is a knight, and Sofia is a knave.", "solution_text_format": "(1) Evelyn is a knight\n(2) Benjamin is a knight\n(3) 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 Benjamin is not a knave.", "Assume Benjamin is a knight. No contradiction is found in their claim that Sofia is a knight if and only if Evelyn is a knave.", "Sofia cannot be a knight, because this would contradict the claim of Benjamin that Sofia is a knight if and only if Evelyn is a knave.", "Assume Sofia is a knave. No contradiction is found in their false claim that Sofia is a knight if and only if Evelyn is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 1)), ('<=>', ('telling-truth', 2), ('lying', 0)), ('<=>', ('telling-truth', 2), ('telling-truth', 0)))", "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 3 inhabitants: Emma, Avery, and Elizabeth. Emma remarked, \"If Avery is a knave then Avery is a knight\". In a statement by Avery: \"If Avery is a knight then Emma is a knight\". \"Elizabeth is a knight and Avery is a knave\" - Elizabeth. So who is a knight and who is a knave?", "names": ["Emma", "Avery", "Elizabeth"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Emma is a knight, Avery is a knight, and Elizabeth is a knave.", "solution_text_format": "(1) Emma is a knight\n(2) Avery is a knight\n(3) 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 Emma 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 Avery is a knight then Emma is a knight.", "Elizabeth cannot be a knight, because this would contradict the claim of their own that Elizabeth is a knight and Avery is a knave.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Elizabeth is a knight and Avery is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 1), ('telling-truth', 1)), ('->', ('telling-truth', 1), ('telling-truth', 0)), ('and', ('telling-truth', 2), ('lying', 1)))", "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 3 inhabitants: Michael, Riley, and Sophia. In a statement by Michael: \"Sophia is a knave or Riley is a knave\". Riley noted, \"Sophia is a knave\". Sophia noted, \"If Riley is a knave then Sophia is a knight\". So who is a knight and who is a knave?", "names": ["Michael", "Riley", "Sophia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Michael is a knight, Riley is a knave, and Sophia is a knight.", "solution_text_format": "(1) Michael is a knight\n(2) Riley is a knave\n(3) 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 Sophia is a knave or Riley is a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that If Riley is a knave then Sophia is a knight.", "Riley cannot be a knight, because this would contradict the claim of Michael that Sophia is a knave or Riley is a knave.", "Assume Riley is a knave. No contradiction is found in their false claim that Sophia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 2), ('lying', 1)), ('lying', 2), ('->', ('lying', 1), ('telling-truth', 2)))", "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 3 inhabitants: Sofia, Scarlett, and Charlotte. Sofia said, \"If Sofia is a knight then Charlotte is a knight.\" As Scarlett put it, \"Sofia is a knight\". Charlotte told you that Sofia is a knight. So who is a knight and who is a knave?", "names": ["Sofia", "Scarlett", "Charlotte"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Sofia is a knight, Scarlett is a knight, and Charlotte is a knight.", "solution_text_format": "(1) Sofia is a knight\n(2) Scarlett is a knight\n(3) 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 Sofia is a knight. No contradiction is found in their claim that If Sofia is a knight then Charlotte is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that Sofia is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that Sofia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 0), ('telling-truth', 2)), ('telling-truth', 0), ('telling-truth', 0))", "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 3 inhabitants: Mia, Harper, and Oliver. \"Mia is a knight,\" Mia declared. Harper said that If Harper is a knight then Oliver is a knave. Oliver said, \"Harper is a knight and Mia is a knight.\" So who is a knight and who is a knave?", "names": ["Mia", "Harper", "Oliver"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Mia is a knave, Harper is a knight, and Oliver is a knave.", "solution_text_format": "(1) Mia is a knave\n(2) Harper is a knight\n(3) 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 Mia is a knight. No contradiction is found in their claim that Mia is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that If Harper is a knight then Oliver is a knave.", "Oliver cannot be a knight, because this would contradict the claim of Harper that If Harper is a knight then Oliver is a knave.", "Oliver cannot be a knave, because this would contradict the false claim of their own that Harper is a knight and Mia is a knight.", "We have exhausted all possibilities for Oliver, 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 Harper is a knight then Oliver is a knave.", "We have exhausted all possibilities for Harper, 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.", "Assume Harper is a knight. No contradiction is found in their claim that If Harper is a knight then Oliver is a knave.", "Oliver cannot be a knight, because this would contradict the claim of Harper that If Harper is a knight then Oliver is a knave.", "Assume Oliver is a knave. No contradiction is found in their false claim that Harper is a knight and Mia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 0), ('->', ('telling-truth', 1), ('lying', 2)), ('and', ('telling-truth', 1), ('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 3 inhabitants: Michael, Emma, and Evelyn. Michael told you that Evelyn is not a knave. \"Evelyn is a knight and Michael is a knight\" - Emma. Evelyn remarked, \"Emma is a knight if and only if Emma is a knave\". So who is a knight and who is a knave?", "names": ["Michael", "Emma", "Evelyn"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false], "solution_text": "Michael is a knave, Emma is a knave, and Evelyn is a knave.", "solution_text_format": "(1) Michael is a knave\n(2) Emma is a knave\n(3) 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 Michael 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 knight if and only if Emma is a knave.", "Evelyn cannot be a knave, because this would contradict the claim of Michael that Evelyn is not a knave.", "We have exhausted all possibilities for Evelyn, so let us go back and reconsider Michael.", "Assume Michael 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 false claim of Michael that Evelyn is not a knave.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Emma is a knight if and only if Emma is a knave.", "Emma cannot be a knight, because this would contradict the claim of their own that Evelyn is a knight and Michael is a knight.", "Assume Emma 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": "(('not', ('lying', 2)), ('and', ('telling-truth', 2), ('telling-truth', 0)), ('<=>', ('telling-truth', 1), ('lying', 1)))", "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 3 inhabitants: Aiden, Amelia, and Ethan. \"Ethan is a knight and Amelia is a knave\" - Aiden. In a statement by Amelia: \"Amelia is a knight if and only if Ethan is a knave\". Ethan remarked, \"Amelia is a knight and Aiden is a knave\". So who is a knight and who is a knave?", "names": ["Aiden", "Amelia", "Ethan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false], "solution_text": "Aiden is a knave, Amelia is a knave, and Ethan is a knave.", "solution_text_format": "(1) Aiden is a knave\n(2) Amelia is a knave\n(3) 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 Aiden is a knight. No contradiction is found in their claim that Ethan is a knight and Amelia is a knave.", "Ethan cannot be a knight, because this would contradict the claim of their own that Amelia is a knight and Aiden is a knave.", "Ethan cannot be a knave, because this would contradict the claim of Aiden that Ethan is a knight and Amelia is a knave.", "We have exhausted all possibilities for Ethan, so let us go back and reconsider Aiden.", "Assume Aiden is a knave. No contradiction is found in their false claim that Ethan is a knight and Amelia is a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that Amelia is a knight and Aiden is a knave.", "Amelia cannot be a knight, because this would contradict the claim of their own that Amelia is a knight if and only if Ethan is a knave.", "Amelia cannot be a knave, because this would contradict the false claim of Aiden that Ethan is a knight and Amelia is a knave.", "We have exhausted all possibilities for Amelia, so let us go back and reconsider Ethan.", "Assume Ethan is a knave. No contradiction is found in their false claim that Amelia is a knight and Aiden is a knave.", "Amelia cannot be a knight, because this would contradict the false claim of Ethan that Amelia is a knight and Aiden is a knave.", "Assume Amelia is a knave. No contradiction is found in their false claim that Amelia is a knight if and only if Ethan is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 2), ('lying', 1)), ('<=>', ('telling-truth', 1), ('lying', 2)), ('and', ('telling-truth', 1), ('lying', 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 3 inhabitants: Henry, Daniel, and Abigail. Henry noted, \"Daniel is not a knight\". Daniel stated, \"If Abigail is a knight then Henry is a knight\". As Abigail put it, \"Daniel is a knave\". So who is a knight and who is a knave?", "names": ["Henry", "Daniel", "Abigail"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Henry is a knave, Daniel is a knight, and Abigail is a knave.", "solution_text_format": "(1) Henry is a knave\n(2) Daniel is a knight\n(3) 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 Henry 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 Henry that Daniel is not a knight.", "Daniel cannot be a knave, because this would contradict the false claim of their own that If Abigail is a knight then Henry 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 Daniel is not a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that If Abigail is a knight then Henry is a knight.", "Abigail cannot be a knight, because this would contradict the claim of Daniel that If Abigail is a knight then Henry is a knight.", "Assume Abigail 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": "(('not', ('telling-truth', 1)), ('->', ('telling-truth', 2), ('telling-truth', 0)), ('lying', 1))", "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 3 inhabitants: Jack, Emily, and Aiden. Jack asserted: \"Emily is not a knave\". \"Emily is a knight or Aiden is a knave\" - Emily. Aiden told you that Aiden is a knight if and only if Emily is a knave. So who is a knight and who is a knave?", "names": ["Jack", "Emily", "Aiden"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Jack is a knave, Emily is a knave, and Aiden is a knight.", "solution_text_format": "(1) Jack is a knave\n(2) Emily is a knave\n(3) 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 Jack 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 Emily is a knight or Aiden is a knave.", "Aiden cannot be a knight, because this would contradict the claim of their own that Aiden is a knight if and only if Emily is a knave.", "Aiden cannot be a knave, because this would contradict the false claim of their own that Aiden is a knight if and only if Emily is a knave.", "We have exhausted all possibilities for Aiden, so let us go back and reconsider Emily.", "Emily cannot be a knave, because this would contradict the claim of Jack that Emily is not a knave.", "We have exhausted all possibilities for Emily, so let us go back and reconsider Jack.", "Assume Jack 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 Jack that Emily is not a knave.", "Assume Emily is a knave. No contradiction is found in their false claim that Emily is a knight or 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 Emily is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 1)), ('or', ('telling-truth', 1), ('lying', 2)), ('<=>', ('telling-truth', 2), ('lying', 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 3 inhabitants: Ethan, Michael, and Logan. Ethan remarked, \"If Logan is a knight then Ethan is a knight\". In a statement by Michael: \"Ethan is a knight\". In a statement by Logan: \"Ethan is a knave if and only if Michael is a knight\". So who is a knight and who is a knave?", "names": ["Ethan", "Michael", "Logan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Ethan is a knight, Michael is a knight, and Logan is a knave.", "solution_text_format": "(1) Ethan is a knight\n(2) Michael is a knight\n(3) 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 Ethan is a knight. No contradiction is found in their claim that If Logan is a knight then Ethan is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that Ethan is a knave if and only if Michael is a knight.", "Michael cannot be a knight, because this would contradict the claim of Logan that Ethan 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 Ethan 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 Ethan is a knave if and only if Michael is a knight.", "Assume Michael is a knight. No contradiction is found in their claim that Ethan is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 2), ('telling-truth', 0)), ('telling-truth', 0), ('<=>', ('lying', 0), ('telling-truth', 1)))", "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 3 inhabitants: Sofia, Jackson, and Luke. Sofia expressed that Luke is a knight. Jackson told you that If Sofia is a knave then Luke is a knave. In a statement by Luke: \"Sofia is a knave if and only if Sofia is a knight\". So who is a knight and who is a knave?", "names": ["Sofia", "Jackson", "Luke"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Sofia is a knave, Jackson is a knight, and Luke is a knave.", "solution_text_format": "(1) Sofia is a knave\n(2) Jackson is a knight\n(3) 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 Luke is a knight.", "Luke cannot be a knight, because this would contradict the claim of their own that Sofia is a knave if and only if Sofia is a knight.", "Luke cannot be a knave, because this would contradict the claim of Sofia that Luke is a knight.", "We have exhausted all possibilities for Luke, so let us go back and reconsider Sofia.", "Assume Sofia 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 Sofia that Luke is a knight.", "Assume Luke is a knave. No contradiction is found in their false claim that Sofia is a knave if and only if Sofia is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that If Sofia is a knave then Luke is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 2), ('->', ('lying', 0), ('lying', 2)), ('<=>', ('lying', 0), ('telling-truth', 0)))", "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 3 inhabitants: Jackson, Zoey, and Sophia. \"Zoey is a knight,\" Jackson claimed. Zoey expressed that Jackson is a knave or Zoey is a knight. Sophia said that Zoey is a knight and Jackson is a knight. So who is a knight and who is a knave?", "names": ["Jackson", "Zoey", "Sophia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Jackson is a knight, Zoey is a knight, and Sophia is a knight.", "solution_text_format": "(1) Jackson is a knight\n(2) Zoey is a knight\n(3) 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 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 knave or Zoey is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that Zoey is a knight and Jackson is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 1), ('or', ('lying', 0), ('telling-truth', 1)), ('and', ('telling-truth', 1), ('telling-truth', 0)))", "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 3 inhabitants: Ava, Noah, and Sebastian. In Ava's words: \"Ava is a knight\". Noah remarked, \"Ava is a knave or Sebastian is a knave\". Sebastian asserted: \"Noah is a knight\". So who is a knight and who is a knave?", "names": ["Ava", "Noah", "Sebastian"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Ava is a knave, Noah is a knight, and Sebastian is a knight.", "solution_text_format": "(1) Ava is a knave\n(2) Noah is a knight\n(3) 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 Ava is a knight. No contradiction is found in their claim that Ava is a knight.", "Assume Noah is a knight. No contradiction is found in their claim that Ava is a knave or Sebastian is a knave.", "Sebastian cannot be a knight, because this would contradict the claim of Noah that Ava is a knave or Sebastian is a knave.", "Sebastian cannot be a knave, because this would contradict the false claim of their own that Noah is a knight.", "We have exhausted all possibilities for Sebastian, 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 knave or Sebastian is a knave.", "Sebastian cannot be a knight, because this would contradict the claim of their own that Noah is a knight.", "Sebastian cannot be a knave, because this would contradict the false claim of Noah that Ava is a knave or Sebastian is a knave.", "We have exhausted all possibilities for Sebastian and Noah, so let us go back and reconsider Ava.", "Assume Ava is a knave. No contradiction is found in their false claim that Ava is a knight.", "Assume Noah is a knight. No contradiction is found in their claim that Ava is a knave or Sebastian is a knave.", "Assume Sebastian is a knight. No contradiction is found in their claim that Noah is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 0), ('or', ('lying', 0), ('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 3 inhabitants: Mason, Matthew, and Emma. Mason said, \"Emma is a knave or Matthew is a knight.\" As Matthew put it, \"If Emma is a knave then Mason is a knight\". \"Matthew is a knight,\" Emma declared. So who is a knight and who is a knave?", "names": ["Mason", "Matthew", "Emma"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Mason is a knight, Matthew is a knight, and Emma is a knight.", "solution_text_format": "(1) Mason is a knight\n(2) Matthew is a knight\n(3) 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 Mason is a knight. No contradiction is found in their claim that Emma is a knave or Matthew is a knight.", "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 Emma is a knave then Mason is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 2), ('telling-truth', 1)), ('->', ('lying', 2), ('telling-truth', 0)), ('telling-truth', 1))", "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 3 inhabitants: Samuel, Ethan, and Scarlett. Samuel expressed that Scarlett is a knave if and only if Ethan is a knave. Ethan noted, \"Samuel is a knave\". Scarlett expressed that Scarlett is a knight if and only if Ethan is a knave. So who is a knight and who is a knave?", "names": ["Samuel", "Ethan", "Scarlett"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false], "solution_text": "Samuel is a knight, Ethan is a knave, and Scarlett is a knave.", "solution_text_format": "(1) Samuel is a knight\n(2) Ethan is a knave\n(3) 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 Samuel is a knight. No contradiction is found in their claim that Scarlett is a knave if and only if Ethan is a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that Scarlett is a knight if and only if Ethan is a knave.", "Ethan cannot be a knight, because this would contradict the claim of their own that Samuel is a knave.", "Ethan cannot be a knave, because this would contradict the claim of Samuel that Scarlett 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 Scarlett.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Scarlett is a knight if and only if Ethan is a knave.", "Ethan cannot be a knight, because this would contradict the claim of Samuel that Scarlett 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 Samuel is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 2), ('lying', 1)), ('lying', 0), ('<=>', ('telling-truth', 2), ('lying', 1)))", "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 3 inhabitants: Elizabeth, Scarlett, and James. In Elizabeth's words: \"James is not a knight\". \"If James is a knight then Elizabeth is a knave,\" Scarlett declared. James remarked, \"Scarlett is a knight and Scarlett is a knave\". So who is a knight and who is a knave?", "names": ["Elizabeth", "Scarlett", "James"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Elizabeth is a knight, Scarlett is a knight, and James is a knave.", "solution_text_format": "(1) Elizabeth is a knight\n(2) Scarlett is a knight\n(3) 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 Elizabeth 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 Elizabeth that James is not a knight.", "Assume James is a knave. No contradiction is found in their false claim that Scarlett is a knight and Scarlett is a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that If James is a knight then Elizabeth is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 2)), ('->', ('telling-truth', 2), ('lying', 0)), ('and', ('telling-truth', 1), ('lying', 1)))", "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 3 inhabitants: Lucas, Emma, and Zoey. In Lucas's words: \"Zoey is not a knave\". Emma expressed that Zoey is not a knight. Zoey asserted: \"Emma is a knave and Lucas is a knave\". So who is a knight and who is a knave?", "names": ["Lucas", "Emma", "Zoey"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Lucas is a knave, Emma is a knight, and Zoey is a knave.", "solution_text_format": "(1) Lucas is a knave\n(2) Emma is a knight\n(3) 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 Lucas 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 Emma is a knave and Lucas is a knave.", "Zoey cannot be a knave, because this would contradict the claim of Lucas that Zoey is not a knave.", "We have exhausted all possibilities for Zoey, so let us go back and reconsider Lucas.", "Assume Lucas 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 Lucas that Zoey is not a knave.", "Assume Zoey is a knave. No contradiction is found in their false claim that Emma is a knave and Lucas is a knave.", "Assume Emma 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": "(('not', ('lying', 2)), ('not', ('telling-truth', 2)), ('and', ('lying', 1), ('lying', 0)))", "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 3 inhabitants: Jackson, Emma, and Samuel. Jackson noted, \"Samuel is a knight or Jackson is a knight\". In a statement by Emma: \"Emma is a knight if and only if Jackson is a knave\". In Samuel's words: \"Jackson is a knave and Emma is a knave\". So who is a knight and who is a knave?", "names": ["Jackson", "Emma", "Samuel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Jackson is a knave, Emma is a knight, and Samuel is a knave.", "solution_text_format": "(1) Jackson is a knave\n(2) Emma is a knight\n(3) 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 Jackson is a knight. No contradiction is found in their claim that Samuel is a knight or Jackson is a knight.", "Samuel cannot be a knight, because this would contradict the claim of their own that Jackson is a knave and Emma is a knave.", "Assume Samuel is a knave. No contradiction is found in their false claim that Jackson is a knave and Emma is a knave.", "Emma cannot be a knight, because this would contradict the claim of their own that Emma is a knight if and only if Jackson is a knave.", "Emma cannot be a knave, because this would contradict the false claim of their own that Emma is a knight if and only if Jackson is a knave.", "We have exhausted all possibilities for Emma and Samuel, so let us go back and reconsider Jackson.", "Assume Jackson is a knave. No contradiction is found in their false claim that Samuel is a knight or Jackson is a knight.", "Samuel cannot be a knight, because this would contradict the false claim of Jackson that Samuel is a knight or Jackson is a knight.", "Assume Samuel is a knave. No contradiction is found in their false claim that Jackson is a knave and Emma is a knave.", "Assume Emma is a knight. No contradiction is found in their claim that Emma is a knight if and only if Jackson is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 2), ('telling-truth', 0)), ('<=>', ('telling-truth', 1), ('lying', 0)), ('and', ('lying', 0), ('lying', 1)))", "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 3 inhabitants: Owen, Victoria, and Liam. In a statement by Owen: \"Victoria is a knave and Victoria is a knight\". Victoria noted, \"Owen is a knave and Liam is a knave\". Liam said that Victoria is a knave and Victoria is a knight. So who is a knight and who is a knave?", "names": ["Owen", "Victoria", "Liam"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Owen is a knave, Victoria is a knight, and Liam is a knave.", "solution_text_format": "(1) Owen is a knave\n(2) Victoria is a knight\n(3) 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": ["Owen cannot be a knight, because this would contradict the claim of their own that Victoria is a knave and Victoria is a knight.", "Assume Owen is a knave. No contradiction is found in their false claim that Victoria is a knave and Victoria is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that Owen is a knave and Liam is a knave.", "Liam cannot be a knight, because this would contradict the claim of Victoria that Owen is a knave and Liam is a knave.", "Assume Liam is a knave. No contradiction is found in their false claim that Victoria is a knave and Victoria is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('telling-truth', 1)), ('and', ('lying', 0), ('lying', 2)), ('and', ('lying', 1), ('telling-truth', 1)))", "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 3 inhabitants: Olivia, Jack, and Jacob. Olivia said, \"If Jack is a knave then Jacob is a knave.\" In a statement by Jack: \"Jacob is a knight and Jacob is a knave\". Jacob commented, \"If Jack is a knight then Olivia is a knight\". So who is a knight and who is a knave?", "names": ["Olivia", "Jack", "Jacob"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Olivia is a knave, Jack is a knave, and Jacob is a knight.", "solution_text_format": "(1) Olivia is a knave\n(2) Jack is a knave\n(3) 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 Olivia is a knight. No contradiction is found in their claim that If Jack is a knave then Jacob is 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.", "Jacob cannot be a knight, because this would contradict the claim of Olivia that If Jack is a knave then Jacob is a knave.", "Jacob cannot be a knave, because this would contradict the false claim of their own that If Jack is a knight then Olivia is a knight.", "We have exhausted all possibilities for Jacob and Jack, so let us go back and reconsider Olivia.", "Assume Olivia is a knave. No contradiction is found in their false claim that If Jack is a knave then Jacob is a knave.", "Jack cannot be a knight, because this would contradict the false claim of Olivia that If Jack is a knave then 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 Jacob is a knight. No contradiction is found in their claim that If Jack is a knight then Olivia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 1), ('lying', 2)), ('and', ('telling-truth', 2), ('lying', 2)), ('->', ('telling-truth', 1), ('telling-truth', 0)))", "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 3 inhabitants: Lily, Ethan, and Liam. Lily told you that Liam is a knave. \"Lily is a knave or Liam is a knight,\" Ethan mentioned. As Liam put it, \"Lily is a knight and Ethan is a knight\". So who is a knight and who is a knave?", "names": ["Lily", "Ethan", "Liam"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false], "solution_text": "Lily is a knight, Ethan is a knave, and Liam is a knave.", "solution_text_format": "(1) Lily is a knight\n(2) Ethan is a knave\n(3) 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 Liam is a knave.", "Liam cannot be a knight, because this would contradict the claim of Lily that Liam is a knave.", "Assume Liam is a knave. No contradiction is found in their false claim that Lily is a knight and Ethan is a knight.", "Ethan cannot be a knight, because this would contradict the claim of their own that Lily is a knave or Liam is a knight.", "Assume Ethan is a knave. No contradiction is found in their false claim that Lily is a knave or Liam is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 2), ('or', ('lying', 0), ('telling-truth', 2)), ('and', ('telling-truth', 0), ('telling-truth', 1)))", "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 3 inhabitants: Matthew, Aiden, and Oliver. \"Aiden is a knave and Aiden is a knight\" - Matthew. \"Oliver is a knave if and only if Oliver is a knight,\" Aiden claimed. Oliver was heard saying, \"Aiden is a knight\". So who is a knight and who is a knave?", "names": ["Matthew", "Aiden", "Oliver"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false], "solution_text": "Matthew is a knave, Aiden is a knave, and Oliver is a knave.", "solution_text_format": "(1) Matthew is a knave\n(2) Aiden is a knave\n(3) 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": ["Matthew cannot be a knight, because this would contradict the claim of their own that Aiden is a knave and Aiden is a knight.", "Assume Matthew is a knave. No contradiction is found in their false claim that Aiden is a knave and Aiden is a knight.", "Aiden cannot be a knight, because this would contradict the claim of their own that Oliver is a knave if and only if Oliver is a knight.", "Assume Aiden is a knave. No contradiction is found in their false claim that Oliver is a knave if and only if Oliver is a knight.", "Oliver cannot be a knight, because this would contradict the claim of their own that Aiden is a knight.", "Assume Oliver 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": "(('and', ('lying', 1), ('telling-truth', 1)), ('<=>', ('lying', 2), ('telling-truth', 2)), ('telling-truth', 1))", "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 3 inhabitants: Benjamin, Grace, and Daniel. In Benjamin's words: \"Daniel is a knave or Grace is a knave\". Grace remarked, \"Grace is a knight if and only if Daniel is a knight\". \"If Grace is a knight then Benjamin is a knight,\" Daniel claimed. So who is a knight and who is a knave?", "names": ["Benjamin", "Grace", "Daniel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Benjamin is a knight, Grace is a knave, and Daniel is a knight.", "solution_text_format": "(1) Benjamin is a knight\n(2) Grace is a knave\n(3) 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 Benjamin is a knight. No contradiction is found in their claim that Daniel is a knave or Grace is a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that If Grace is a knight then Benjamin is a knight.", "Grace cannot be a knight, because this would contradict the claim of Benjamin that Daniel is a knave or 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 Daniel is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 2), ('lying', 1)), ('<=>', ('telling-truth', 1), ('telling-truth', 2)), ('->', ('telling-truth', 1), ('telling-truth', 0)))", "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 3 inhabitants: Samuel, Olivia, and Charlotte. Samuel asserted: \"If Charlotte is a knight then Samuel is a knight\". In a statement by Olivia: \"Charlotte is not a knave\". As Charlotte put it, \"If Samuel is a knave then Samuel is a knight\". So who is a knight and who is a knave?", "names": ["Samuel", "Olivia", "Charlotte"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Samuel is a knight, Olivia is a knight, and Charlotte is a knight.", "solution_text_format": "(1) Samuel is a knight\n(2) Olivia is a knight\n(3) 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 Samuel is a knight. No contradiction is found in their claim that If Charlotte is a knight then Samuel is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that If Samuel is a knave then Samuel is a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that Charlotte is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 2), ('telling-truth', 0)), ('not', ('lying', 2)), ('->', ('lying', 0), ('telling-truth', 0)))", "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 3 inhabitants: Daniel, James, and Liam. According to Daniel, \"James is not a knave\". \"Daniel is a knave if and only if Liam is a knave\" - James. According to Liam, \"Daniel is a knight or James is a knight\". So who is a knight and who is a knave?", "names": ["Daniel", "James", "Liam"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Daniel is a knight, James is a knight, and Liam is a knight.", "solution_text_format": "(1) Daniel is a knight\n(2) James is a knight\n(3) 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 James is not a knave.", "Assume James is a knight. No contradiction is found in their claim that Daniel is a knave if and only if Liam is a knave.", "Assume Liam is a knight. No contradiction is found in their claim that Daniel is a knight or James is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 1)), ('<=>', ('lying', 0), ('lying', 2)), ('or', ('telling-truth', 0), ('telling-truth', 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 3 inhabitants: Victoria, Matthew, and Abigail. Victoria remarked, \"Abigail is not a knave\". Matthew expressed that If Matthew is a knight then Abigail is a knave. In a statement by Abigail: \"Victoria is a knight and Matthew is a knave\". So who is a knight and who is a knave?", "names": ["Victoria", "Matthew", "Abigail"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Victoria is a knave, Matthew is a knight, and Abigail is a knave.", "solution_text_format": "(1) Victoria is a knave\n(2) Matthew is a knight\n(3) 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 Victoria 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 Victoria is a knight and Matthew is a knave.", "Matthew cannot be a knight, because this would contradict the claim of their own that If Matthew is a knight then Abigail 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 Abigail is a knave.", "We have exhausted all possibilities for Matthew, so let us go back and reconsider Abigail.", "Abigail cannot be a knave, because this would contradict the claim of Victoria that Abigail is not a knave.", "We have exhausted all possibilities for Abigail, so let us go back and reconsider Victoria.", "Assume Victoria 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 Victoria that Abigail is not a knave.", "Assume Abigail is a knave. No contradiction is found in their false claim that Victoria is a knight and Matthew is a knave.", "Assume Matthew is a knight. No contradiction is found in their claim that If Matthew is a knight then Abigail is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 2)), ('->', ('telling-truth', 1), ('lying', 2)), ('and', ('telling-truth', 0), ('lying', 1)))", "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 3 inhabitants: Amelia, Benjamin, and Michael. Amelia said, \"Michael is a knave and Benjamin is a knave.\" \"Benjamin is a knight or Michael is a knave,\" Benjamin declared. Michael remarked, \"Amelia is a knight\". So who is a knight and who is a knave?", "names": ["Amelia", "Benjamin", "Michael"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Amelia is a knave, Benjamin is a knight, and Michael is a knave.", "solution_text_format": "(1) Amelia is a knave\n(2) Benjamin is a knight\n(3) 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 Amelia is a knight. No contradiction is found in their claim that Michael is a knave and Benjamin is a knave.", "Michael cannot be a knight, because this would contradict the claim of Amelia that Michael is a knave and Benjamin is a knave.", "Michael cannot be a knave, because this would contradict the false claim of their own that Amelia is a knight.", "We have exhausted all possibilities for Michael, so let us go back and reconsider Amelia.", "Assume Amelia is a knave. No contradiction is found in their false claim that Michael is a knave and Benjamin is a knave.", "Michael cannot be a knight, because this would contradict the claim of their own that Amelia is a knight.", "Assume Michael is a knave. No contradiction is found in their false claim that Amelia is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that Benjamin is a knight or Michael is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('lying', 1)), ('or', ('telling-truth', 1), ('lying', 2)), ('telling-truth', 0))", "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 3 inhabitants: Emma, Zoey, and Aurora. \"Zoey is a knight,\" Emma declared. \"Emma is a knight,\" Zoey mentioned. Aurora was heard saying, \"If Aurora is a knight then Emma is a knight\". So who is a knight and who is a knave?", "names": ["Emma", "Zoey", "Aurora"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Emma is a knight, Zoey is a knight, and Aurora is a knight.", "solution_text_format": "(1) Emma is a knight\n(2) Zoey is a knight\n(3) 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 Emma 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 Emma is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that If Aurora is a knight then Emma is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 1), ('telling-truth', 0), ('->', ('telling-truth', 2), ('telling-truth', 0)))", "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 3 inhabitants: Olivia, Aiden, and Daniel. In Olivia's words: \"If Daniel is a knight then Aiden is a knave\". Aiden remarked, \"Olivia is a knight\". \"Daniel is a knight and Aiden is a knight,\" Daniel mentioned. So who is a knight and who is a knave?", "names": ["Olivia", "Aiden", "Daniel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Olivia is a knight, Aiden is a knight, and Daniel is a knave.", "solution_text_format": "(1) Olivia is a knight\n(2) Aiden is a knight\n(3) 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 If Daniel is a knight then Aiden is a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that Daniel is a knight and Aiden is a knight.", "Aiden cannot be a knight, because this would contradict the claim of Olivia that If Daniel is a knight then Aiden is a knave.", "Aiden 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 Aiden, so let us go back and reconsider Daniel.", "Assume Daniel is a knave. No contradiction is found in their false claim that Daniel is a knight and Aiden is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that Olivia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 2), ('lying', 1)), ('telling-truth', 0), ('and', ('telling-truth', 2), ('telling-truth', 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 3 inhabitants: Samuel, Chloe, and Victoria. As Samuel put it, \"If Victoria is a knight then Chloe is a knight\". Chloe told you that Victoria is a knight if and only if Samuel is a knave. Victoria noted, \"Chloe is a knave and Victoria is a knight\". So who is a knight and who is a knave?", "names": ["Samuel", "Chloe", "Victoria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Samuel is a knight, Chloe is a knight, and Victoria is a knave.", "solution_text_format": "(1) Samuel is a knight\n(2) Chloe is a knight\n(3) 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 Samuel is a knight. No contradiction is found in their claim that If Victoria is a knight then Chloe is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that Chloe is a knave and Victoria is a knight.", "Chloe 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.", "Chloe cannot be a knave, because this would contradict the claim of Samuel that If Victoria is a knight then Chloe is a knight.", "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 knave and Victoria is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that Victoria is a knight if and only if Samuel is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 2), ('telling-truth', 1)), ('<=>', ('telling-truth', 2), ('lying', 0)), ('and', ('lying', 1), ('telling-truth', 2)))", "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 3 inhabitants: Mia, Emily, and Aiden. Mia stated, \"If Aiden is a knave then Mia is a knight\". As Emily put it, \"Mia is not a knight\". Aiden expressed that Mia is a knave or Emily is a knight. So who is a knight and who is a knave?", "names": ["Mia", "Emily", "Aiden"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false], "solution_text": "Mia is a knight, Emily is a knave, and Aiden is a knave.", "solution_text_format": "(1) Mia is a knight\n(2) Emily is a knave\n(3) 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 Mia is a knight. No contradiction is found in their claim that If Aiden is a knave then Mia is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that Mia is a knave or Emily is a knight.", "Emily cannot be a knight, because this would contradict the claim of their own that Mia is not a knight.", "Emily cannot be a knave, because this would contradict the claim of Aiden that Mia is a knave or Emily is a knight.", "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 Mia is a knave or Emily is a knight.", "Emily cannot be a knight, because this would contradict the claim of their own that Mia is not a knight.", "Assume Emily 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": "(('->', ('lying', 2), ('telling-truth', 0)), ('not', ('telling-truth', 0)), ('or', ('lying', 0), ('telling-truth', 1)))", "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 3 inhabitants: Evelyn, James, and Mason. \"If Mason is a knave then Evelyn is a knight,\" Evelyn claimed. James said that Evelyn is a knight or Mason is a knight. \"Evelyn is a knave or Evelyn is a knight\" - Mason. So who is a knight and who is a knave?", "names": ["Evelyn", "James", "Mason"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Evelyn is a knight, James is a knight, and Mason is a knight.", "solution_text_format": "(1) Evelyn is a knight\n(2) James is a knight\n(3) 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 Evelyn is a knight. No contradiction is found in their claim that If Mason is a knave then Evelyn is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that Evelyn is a knave or Evelyn is a knight.", "Assume James is a knight. No contradiction is found in their claim that Evelyn is a knight or Mason is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 2), ('telling-truth', 0)), ('or', ('telling-truth', 0), ('telling-truth', 2)), ('or', ('lying', 0), ('telling-truth', 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 3 inhabitants: Jackson, Benjamin, and Sofia. In Jackson's words: \"Sofia is a knave\". In Benjamin's words: \"Sofia is a knave\". Sofia commented, \"Jackson is a knave if and only if Benjamin is a knight\". So who is a knight and who is a knave?", "names": ["Jackson", "Benjamin", "Sofia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Jackson is a knight, Benjamin is a knight, and Sofia is a knave.", "solution_text_format": "(1) Jackson is a knight\n(2) Benjamin is a knight\n(3) 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 Jackson 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 Jackson that 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 Benjamin is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that Sofia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 2), ('lying', 2), ('<=>', ('lying', 0), ('telling-truth', 1)))", "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 3 inhabitants: Grace, Emma, and Matthew. Grace asserted: \"If Emma is a knight then Matthew is a knight\". Emma remarked, \"Matthew is a knave if and only if Emma is a knight\". Matthew was heard saying, \"If Emma is a knave then Grace is a knave\". So who is a knight and who is a knave?", "names": ["Grace", "Emma", "Matthew"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false], "solution_text": "Grace is a knight, Emma is a knave, and Matthew is a knave.", "solution_text_format": "(1) Grace is a knight\n(2) Emma is a knave\n(3) 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 Grace is a knight. No contradiction is found in their claim that If Emma is a knight then Matthew is a knight.", "Assume Emma is a knight. No contradiction is found in their claim that Matthew is a knave if and only if Emma is a knight.", "Matthew cannot be a knight, because this would contradict the claim of Emma that Matthew is a knave if and only if Emma is a knight.", "Matthew cannot be a knave, because this would contradict the claim of Grace that If Emma is a knight then Matthew is a knight.", "We have exhausted all possibilities for Matthew, so let us go back and reconsider Emma.", "Assume Emma is a knave. No contradiction is found in their false claim that Matthew is a knave if and only if Emma is a knight.", "Matthew cannot be a knight, because this would contradict the false claim of Emma that Matthew is a knave if and only if Emma is a knight.", "Assume Matthew is a knave. No contradiction is found in their false claim that If Emma is a knave then Grace is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 1), ('telling-truth', 2)), ('<=>', ('lying', 2), ('telling-truth', 1)), ('->', ('lying', 1), ('lying', 0)))", "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 3 inhabitants: Isabella, Lily, and Joseph. \"Lily is a knave and Lily is a knight\" - Isabella. Lily said that Isabella is a knave and Joseph is a knave. Joseph said, \"If Joseph is a knight then Lily is a knave.\" So who is a knight and who is a knave?", "names": ["Isabella", "Lily", "Joseph"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Isabella is a knave, Lily is a knave, and Joseph is a knight.", "solution_text_format": "(1) Isabella is a knave\n(2) Lily is a knave\n(3) 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": ["Isabella cannot be a knight, because this would contradict the claim of their own that Lily is a knave and Lily is a knight.", "Assume Isabella is a knave. No contradiction is found in their false claim that Lily is a knave and Lily is a knight.", "Assume Lily is a knight. No contradiction is found in their claim that Isabella is a knave and Joseph is a knave.", "Joseph cannot be a knight, because this would contradict the claim of Lily that Isabella is a knave and Joseph is a knave.", "Joseph cannot be a knave, because this would contradict the false claim of their own that If Joseph is a knight then Lily 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 Isabella is a knave and Joseph is a knave.", "Assume Joseph is a knight. No contradiction is found in their claim that If Joseph is a knight then Lily is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('telling-truth', 1)), ('and', ('lying', 0), ('lying', 2)), ('->', ('telling-truth', 2), ('lying', 1)))", "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 3 inhabitants: Jack, Benjamin, and Chloe. In a statement by Jack: \"Benjamin is a knight\". Benjamin said, \"If Chloe is a knight then Benjamin is a knight.\" Chloe said that Benjamin is a knight. So who is a knight and who is a knave?", "names": ["Jack", "Benjamin", "Chloe"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Jack is a knight, Benjamin is a knight, and Chloe is a knight.", "solution_text_format": "(1) Jack is a knight\n(2) Benjamin is a knight\n(3) 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 Jack 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 If Chloe is a knight then Benjamin is a knight.", "Assume Chloe 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), ('->', ('telling-truth', 2), ('telling-truth', 1)), ('telling-truth', 1))", "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 3 inhabitants: Samuel, Aria, and Zoey. \"Aria is a knave,\" Samuel declared. \"If Aria is a knight then Zoey is a knight\" - Aria. In a statement by Zoey: \"Aria is a knight or Aria is a knave\". So who is a knight and who is a knave?", "names": ["Samuel", "Aria", "Zoey"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Samuel is a knave, Aria is a knight, and Zoey is a knight.", "solution_text_format": "(1) Samuel is a knave\n(2) Aria is a knight\n(3) 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 Samuel 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 Samuel that Aria is a knave.", "Aria cannot be a knave, because this would contradict the false claim of their own that If Aria is a knight then Zoey is a knight.", "We have exhausted all possibilities for 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 a knave.", "Assume Aria is a knight. No contradiction is found in their claim that If Aria is a knight then Zoey is a knight.", "Assume Zoey 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": "(('lying', 1), ('->', ('telling-truth', 1), ('telling-truth', 2)), ('or', ('telling-truth', 1), ('lying', 1)))", "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 3 inhabitants: Aurora, Sofia, and Zoey. Aurora said, \"Zoey is a knight if and only if Sofia is a knight.\" Sofia told you that Zoey is a knave if and only if Sofia is a knight. \"Sofia is a knave if and only if Zoey is a knight,\" Zoey mentioned. So who is a knight and who is a knave?", "names": ["Aurora", "Sofia", "Zoey"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false], "solution_text": "Aurora is a knight, Sofia is a knave, and Zoey is a knave.", "solution_text_format": "(1) Aurora is a knight\n(2) Sofia is a knave\n(3) 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 Zoey is a knight if and only if Sofia is a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that Sofia is a knave if and only if Zoey is a knight.", "Sofia cannot be a knight, because this would contradict the claim of their own that Zoey is a knave if and only if Sofia is a knight.", "Sofia cannot be a knave, because this would contradict the claim of Aurora that Zoey 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 Zoey.", "Assume Zoey is a knave. No contradiction is found in their false claim that Sofia is a knave if and only if Zoey is a knight.", "Sofia cannot be a knight, because this would contradict the claim of Aurora that Zoey 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 Zoey is a knave if and only if Sofia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 2), ('telling-truth', 1)), ('<=>', ('lying', 2), ('telling-truth', 1)), ('<=>', ('lying', 1), ('telling-truth', 2)))", "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 3 inhabitants: Matthew, Ava, and Logan. Matthew said, \"If Matthew is a knight then Logan is a knight.\" According to Ava, \"Matthew is a knave\". \"Logan is a knight if and only if Matthew is a knight,\" Logan claimed. So who is a knight and who is a knave?", "names": ["Matthew", "Ava", "Logan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Matthew is a knight, Ava is a knave, and Logan is a knight.", "solution_text_format": "(1) Matthew is a knight\n(2) Ava is a knave\n(3) 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 Matthew is a knight. No contradiction is found in their claim that If Matthew is a knight then Logan is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that Logan is a knight if and only if Matthew is a knight.", "Ava cannot be a knight, because this would contradict the claim of their own that Matthew is a knave.", "Assume Ava 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": "(('->', ('telling-truth', 0), ('telling-truth', 2)), ('lying', 0), ('<=>', ('telling-truth', 2), ('telling-truth', 0)))", "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 3 inhabitants: Jackson, Ethan, and Emma. Jackson expressed that Emma is a knight if and only if Ethan is a knight. In Ethan's words: \"If Jackson is a knave then Emma is a knave\". Emma said, \"Ethan is a knight and Ethan is a knave.\" So who is a knight and who is a knave?", "names": ["Jackson", "Ethan", "Emma"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Jackson is a knave, Ethan is a knight, and Emma is a knave.", "solution_text_format": "(1) Jackson is a knave\n(2) Ethan is a knight\n(3) 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 Emma is a knight if and only if Ethan is a knight.", "Emma cannot be a knight, because this would contradict the claim of their own that Ethan is a knight and Ethan is a knave.", "Assume Emma is a knave. No contradiction is found in their false claim that Ethan is a knight and Ethan is a knave.", "Ethan cannot be a knight, because this would contradict the claim of Jackson that Emma is a knight if and only if Ethan is a knight.", "Ethan cannot be a knave, because this would contradict the false claim of their own that If Jackson is a knave then Emma is a knave.", "We have exhausted all possibilities for Ethan 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 knight if and only if Ethan is a knight.", "Emma cannot be a knight, because this would contradict the claim of their own that Ethan is a knight and Ethan is a knave.", "Assume Emma is a knave. No contradiction is found in their false claim that Ethan is a knight and Ethan is a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that If Jackson is a knave then Emma is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 2), ('telling-truth', 1)), ('->', ('lying', 0), ('lying', 2)), ('and', ('telling-truth', 1), ('lying', 1)))", "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 3 inhabitants: Grace, Amelia, and Zoey. Grace stated, \"Zoey is a knave\". Amelia stated, \"If Zoey is a knight then Grace is a knave\". As Zoey put it, \"Amelia is a knight or Amelia is a knave\". So who is a knight and who is a knave?", "names": ["Grace", "Amelia", "Zoey"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Grace is a knave, Amelia is a knight, and Zoey is a knight.", "solution_text_format": "(1) Grace is a knave\n(2) Amelia is a knight\n(3) 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 Grace 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 Grace that Zoey is a knave.", "Zoey cannot be a knave, because this would contradict the false claim of their own that Amelia is a knight or Amelia is a knave.", "We have exhausted all possibilities for Zoey, so let us go back and reconsider Grace.", "Assume Grace 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 Amelia is a knight or Amelia is a knave.", "Assume Amelia is a knight. No contradiction is found in their claim that If Zoey is a knight then Grace is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 2), ('->', ('telling-truth', 2), ('lying', 0)), ('or', ('telling-truth', 1), ('lying', 1)))", "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 3 inhabitants: Chloe, David, and Sebastian. Chloe said that David is not a knight. \"Sebastian is a knave if and only if Chloe is a knight\" - David. Sebastian stated, \"Chloe is a knight\". So who is a knight and who is a knave?", "names": ["Chloe", "David", "Sebastian"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Chloe is a knight, David is a knave, and Sebastian is a knight.", "solution_text_format": "(1) Chloe is a knight\n(2) David is a knave\n(3) 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 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 Sebastian is a knave if and only if Chloe is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Chloe is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('<=>', ('lying', 2), ('telling-truth', 0)), ('telling-truth', 0))", "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 3 inhabitants: James, Aiden, and Avery. James stated, \"Avery is a knight and James is a knight\". As Aiden put it, \"James is a knave\". Avery expressed that Aiden is a knight if and only if James is a knight. So who is a knight and who is a knave?", "names": ["James", "Aiden", "Avery"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "James is a knave, Aiden is a knight, and Avery is a knave.", "solution_text_format": "(1) James is a knave\n(2) Aiden is a knight\n(3) 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 James is a knight. No contradiction is found in their claim that Avery is a knight and James is a knight.", "Assume Avery is a knight. No contradiction is found in their claim that Aiden is a knight if and only if James is a knight.", "Aiden cannot be a knight, because this would contradict the claim of their own that James is a knave.", "Aiden cannot be a knave, because this would contradict the claim of Avery that Aiden is a knight if and only if James is a knight.", "We have exhausted all possibilities for Aiden, so let us go back and reconsider Avery.", "Avery cannot be a knave, because this would contradict the claim of James that Avery is a knight and James is a knight.", "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 James is a knight.", "Assume Avery is a knight. No contradiction is found in their claim that Aiden is a knight if and only if James is a knight.", "Aiden cannot be a knight, because this would contradict the claim of Avery that Aiden is a knight if and only if James is a knight.", "Aiden 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 Aiden, so let us go back and reconsider Avery.", "Assume Avery is a knave. No contradiction is found in their false claim that Aiden is a knight if and only if James is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that James is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 2), ('telling-truth', 0)), ('lying', 0), ('<=>', ('telling-truth', 1), ('telling-truth', 0)))", "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 3 inhabitants: Abigail, Zoey, and Isabella. Abigail asserted: \"Zoey is a knave if and only if Abigail is a knight\". Zoey remarked, \"Abigail is not a knave\". Isabella asserted: \"Zoey is a knave\". So who is a knight and who is a knave?", "names": ["Abigail", "Zoey", "Isabella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Abigail is a knave, Zoey is a knave, and Isabella is a knight.", "solution_text_format": "(1) Abigail is a knave\n(2) Zoey is a knave\n(3) 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 Abigail is a knight. No contradiction is found in their claim that Zoey is a knave if and only if Abigail is a knight.", "Zoey cannot be a knight, because this would contradict the claim of Abigail that Zoey is a knave if and only if Abigail is a knight.", "Zoey 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 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 knave if and only if Abigail is a knight.", "Zoey cannot be a knight, because this would contradict the false claim of Abigail that Zoey is a knave if and only if Abigail is a knight.", "Assume Zoey is a knave. No contradiction is found in their false claim that Abigail is not a knave.", "Assume Isabella 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', 1), ('telling-truth', 0)), ('not', ('lying', 0)), ('lying', 1))", "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 3 inhabitants: Emily, Amelia, and Michael. Emily noted, \"Amelia is a knight\". Amelia expressed that Emily is a knave or Emily is a knight. Michael was heard saying, \"Emily is a knave or Emily is a knight\". So who is a knight and who is a knave?", "names": ["Emily", "Amelia", "Michael"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Emily is a knight, Amelia is a knight, and Michael is a knight.", "solution_text_format": "(1) Emily is a knight\n(2) Amelia is a knight\n(3) 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 Emily 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 Emily is a knave or Emily is a knight.", "Assume Michael is a knight. No contradiction is found in their claim that Emily is a knave or Emily is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 1), ('or', ('lying', 0), ('telling-truth', 0)), ('or', ('lying', 0), ('telling-truth', 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 3 inhabitants: Grace, Amelia, and Lucas. Grace told you that Lucas is a knight or Amelia is a knave. Amelia told you that Grace is a knave or Lucas is a knave. According to Lucas, \"Amelia is a knight or Lucas is a knight\". So who is a knight and who is a knave?", "names": ["Grace", "Amelia", "Lucas"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Grace is a knight, Amelia is a knave, and Lucas is a knight.", "solution_text_format": "(1) Grace is a knight\n(2) Amelia is a knave\n(3) 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 Grace is a knight. No contradiction is found in their claim that Lucas is a knight or Amelia is a knave.", "Assume Lucas is a knight. No contradiction is found in their claim that Amelia is a knight or Lucas is a knight.", "Amelia cannot be a knight, because this would contradict the claim of their own that Grace is a knave or Lucas is a knave.", "Assume Amelia is a knave. No contradiction is found in their false claim that Grace is a knave or Lucas is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 2), ('lying', 1)), ('or', ('lying', 0), ('lying', 2)), ('or', ('telling-truth', 1), ('telling-truth', 2)))", "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 3 inhabitants: Scarlett, Matthew, and Evelyn. Scarlett stated, \"Matthew is not a knight\". \"Evelyn is a knight or Scarlett is a knave,\" Matthew declared. Evelyn expressed that Matthew is a knave. So who is a knight and who is a knave?", "names": ["Scarlett", "Matthew", "Evelyn"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Scarlett is a knave, Matthew is a knight, and Evelyn is a knave.", "solution_text_format": "(1) Scarlett is a knave\n(2) Matthew is a knight\n(3) 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 Scarlett 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 Scarlett that Matthew is not a knight.", "Assume Matthew is a knave. No contradiction is found in their false claim that Evelyn is a knight or Scarlett is a knave.", "Evelyn cannot be a knight, because this would contradict the false claim of Matthew that Evelyn is a knight or Scarlett is a knave.", "Evelyn cannot be a knave, because this would contradict the false claim of their own that Matthew is a knave.", "We have exhausted all possibilities for Evelyn and Matthew, so let us go back and reconsider Scarlett.", "Assume Scarlett 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 or Scarlett is a knave.", "Evelyn cannot be a knight, because this would contradict the claim of their own that Matthew is a knave.", "Assume Evelyn 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": "(('not', ('telling-truth', 1)), ('or', ('telling-truth', 2), ('lying', 0)), ('lying', 1))", "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 3 inhabitants: Victoria, Daniel, and Mia. Victoria asserted: \"Mia is a knight and Mia is a knave\". Daniel was heard saying, \"Mia is not a knight\". \"Victoria is a knave,\" Mia declared. So who is a knight and who is a knave?", "names": ["Victoria", "Daniel", "Mia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Victoria is a knave, Daniel is a knave, and Mia is a knight.", "solution_text_format": "(1) Victoria is a knave\n(2) Daniel is a knave\n(3) 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": ["Victoria cannot be a knight, because this would contradict the claim of their own that Mia is a knight and Mia is a knave.", "Assume Victoria 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 Victoria is a knave.", "Daniel cannot be a knight, because this would contradict the claim of their own that Mia is not a knight.", "Assume Daniel 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": "(('and', ('telling-truth', 2), ('lying', 2)), ('not', ('telling-truth', 2)), ('lying', 0))", "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 3 inhabitants: Alexander, Noah, and Ava. According to Alexander, \"Alexander is a knight and Noah is a knight\". Noah said, \"Alexander is a knave.\" \"Alexander is a knight if and only if Alexander is a knave\" - Ava. So who is a knight and who is a knave?", "names": ["Alexander", "Noah", "Ava"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Alexander is a knave, Noah is a knight, and Ava is a knave.", "solution_text_format": "(1) Alexander is a knave\n(2) Noah is a knight\n(3) 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 Alexander is a knight. No contradiction is found in their claim that Alexander is a knight and Noah is a knight.", "Noah cannot be a knight, because this would contradict the claim of their own that Alexander is a knave.", "Noah cannot be a knave, because this would contradict the claim of Alexander that Alexander is a knight and Noah is a knight.", "We have exhausted all possibilities for Noah, so let us go back and reconsider Alexander.", "Assume Alexander is a knave. No contradiction is found in their false claim that Alexander is a knight and Noah is a knight.", "Assume Noah is a knight. No contradiction is found in their claim that Alexander is a knave.", "Ava cannot be a knight, because this would contradict the claim of their own that Alexander is a knight if and only if Alexander is a knave.", "Assume Ava is a knave. No contradiction is found in their false claim that Alexander is a knight if and only if Alexander is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 0), ('telling-truth', 1)), ('lying', 0), ('<=>', ('telling-truth', 0), ('lying', 0)))", "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 3 inhabitants: Aria, Evelyn, and Logan. According to Aria, \"Aria is a knight and Evelyn is a knave\". Evelyn said that If Evelyn is a knight then Logan is a knight. According to Logan, \"Logan is a knight or Evelyn is a knight\". So who is a knight and who is a knave?", "names": ["Aria", "Evelyn", "Logan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Aria is a knave, Evelyn is a knight, and Logan is a knight.", "solution_text_format": "(1) Aria is a knave\n(2) Evelyn is a knight\n(3) 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 Aria is a knight. No contradiction is found in their claim that Aria is a knight and Evelyn is a knave.", "Evelyn cannot be a knight, because this would contradict the claim of Aria 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 If Evelyn is a knight then Logan is a knight.", "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 Aria is a knight and Evelyn is a knave.", "Assume Evelyn is a knight. No contradiction is found in their claim that If Evelyn is a knight then Logan is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that Logan is a knight or Evelyn is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 0), ('lying', 1)), ('->', ('telling-truth', 1), ('telling-truth', 2)), ('or', ('telling-truth', 2), ('telling-truth', 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 3 inhabitants: Joseph, Benjamin, and Isabella. Joseph remarked, \"Isabella is a knight if and only if Benjamin is a knight\". \"Isabella is a knave or Joseph is a knave\" - Benjamin. Isabella asserted: \"If Joseph is a knave then Isabella is a knight\". So who is a knight and who is a knave?", "names": ["Joseph", "Benjamin", "Isabella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Joseph is a knave, Benjamin is a knight, and Isabella is a knave.", "solution_text_format": "(1) Joseph is a knave\n(2) Benjamin is a knight\n(3) 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 Joseph is a knight. No contradiction is found in their claim that Isabella is a knight if and only if Benjamin is a knight.", "Assume Isabella is a knight. No contradiction is found in their claim that If Joseph is a knave then Isabella is a knight.", "Benjamin cannot be a knight, because this would contradict the claim of their own that Isabella is a knave or Joseph is a knave.", "Benjamin cannot be a knave, because this would contradict the claim of Joseph that Isabella 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 Isabella.", "Isabella cannot be a knave, because this would contradict the false claim of their own that If Joseph is a knave then Isabella is a knight.", "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 knight if and only if Benjamin is a knight.", "Assume Isabella is a knight. No contradiction is found in their claim that If Joseph is a knave then Isabella is a knight.", "Benjamin cannot be a knight, because this would contradict the false claim of Joseph that Isabella is a knight if and only if Benjamin is a knight.", "Benjamin cannot be a knave, because this would contradict the false claim of their own that Isabella is a knave or Joseph is a knave.", "We have exhausted all possibilities for Benjamin, so let us go back and reconsider Isabella.", "Assume Isabella is a knave. No contradiction is found in their false claim that If Joseph is a knave then Isabella is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that Isabella is a knave or Joseph is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 2), ('telling-truth', 1)), ('or', ('lying', 2), ('lying', 0)), ('->', ('lying', 0), ('telling-truth', 2)))", "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 3 inhabitants: Emily, Mia, and Victoria. Emily was heard saying, \"Mia is a knave\". In a statement by Mia: \"Victoria is a knight if and only if Mia is a knight\". As Victoria put it, \"If Emily is a knave then Mia is a knave\". So who is a knight and who is a knave?", "names": ["Emily", "Mia", "Victoria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Emily is a knight, Mia is a knave, and Victoria is a knight.", "solution_text_format": "(1) Emily is a knight\n(2) Mia is a knave\n(3) 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 Mia is a knave.", "Mia cannot be a knight, because this would contradict the claim of Emily that Mia is a knave.", "Assume Mia is a knave. No contradiction is found in their false claim that Victoria is a knight if and only if Mia is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that If Emily is a knave then Mia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('<=>', ('telling-truth', 2), ('telling-truth', 1)), ('->', ('lying', 0), ('lying', 1)))", "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 3 inhabitants: Daniel, Isabella, and Samuel. In Daniel's words: \"Isabella is not a knave\". \"Isabella is a knight or Daniel is a knave,\" Isabella mentioned. \"Isabella is a knave if and only if Daniel is a knight\" - Samuel. So who is a knight and who is a knave?", "names": ["Daniel", "Isabella", "Samuel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Daniel is a knight, Isabella is a knight, and Samuel is a knave.", "solution_text_format": "(1) Daniel is a knight\n(2) Isabella is a knight\n(3) 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 Isabella is not a knave.", "Assume Isabella is a knight. No contradiction is found in their claim that Isabella is a knight or Daniel is a knave.", "Samuel cannot be a knight, because this would contradict the claim of their own that Isabella is a knave if and only if Daniel is a knight.", "Assume Samuel is a knave. No contradiction is found in their false claim that Isabella is a knave if and only if Daniel is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 1)), ('or', ('telling-truth', 1), ('lying', 0)), ('<=>', ('lying', 1), ('telling-truth', 0)))", "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 3 inhabitants: Jacob, Sophia, and Aiden. \"Sophia is a knight if and only if Sophia is a knave,\" Jacob declared. Sophia expressed that Jacob is not a knight. Aiden stated, \"Jacob is a knave\". So who is a knight and who is a knave?", "names": ["Jacob", "Sophia", "Aiden"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Jacob is a knave, Sophia is a knight, and Aiden is a knight.", "solution_text_format": "(1) Jacob is a knave\n(2) Sophia is a knight\n(3) 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": ["Jacob cannot be a knight, because this would contradict the claim of their own that Sophia is a knight if and only if Sophia is a knave.", "Assume Jacob is a knave. No contradiction is found in their false claim that Sophia is a knight if and only if Sophia is a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that Jacob is not 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": "(('<=>', ('telling-truth', 1), ('lying', 1)), ('not', ('telling-truth', 0)), ('lying', 0))", "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 3 inhabitants: Elizabeth, Henry, and Charlotte. \"Henry is a knight if and only if Elizabeth is a knight,\" Elizabeth declared. Henry asserted: \"If Elizabeth is a knight then Elizabeth is a knave\". Charlotte asserted: \"Henry is a knight or Elizabeth is a knight\". So who is a knight and who is a knave?", "names": ["Elizabeth", "Henry", "Charlotte"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Elizabeth is a knave, Henry is a knight, and Charlotte is a knight.", "solution_text_format": "(1) Elizabeth is a knave\n(2) Henry is a knight\n(3) 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 Elizabeth is a knight. No contradiction is found in their claim that Henry is a knight if and only if Elizabeth is a knight.", "Henry cannot be a knight, because this would contradict the claim of their own that If Elizabeth is a knight then Elizabeth is a knave.", "Henry cannot be a knave, because this would contradict the claim of Elizabeth that Henry is a knight if and only if Elizabeth is a knight.", "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 a knight if and only if Elizabeth is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that If Elizabeth is a knight then Elizabeth is a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that Henry is a knight or Elizabeth is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('telling-truth', 0)), ('->', ('telling-truth', 0), ('lying', 0)), ('or', ('telling-truth', 1), ('telling-truth', 0)))", "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 3 inhabitants: Matthew, Charlotte, and Sebastian. Matthew expressed that Sebastian is a knight or Sebastian is a knave. \"Matthew is not a knave,\" Charlotte declared. Sebastian stated, \"If Charlotte is a knight then Charlotte is a knave\". So who is a knight and who is a knave?", "names": ["Matthew", "Charlotte", "Sebastian"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Matthew is a knight, Charlotte is a knight, and Sebastian is a knave.", "solution_text_format": "(1) Matthew is a knight\n(2) Charlotte is a knight\n(3) 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 Matthew is a knight. No contradiction is found in their claim that Sebastian is a knight or Sebastian is a knave.", "Assume Sebastian is a knight. No contradiction is found in their claim that If Charlotte is a knight then Charlotte is a knave.", "Charlotte cannot be a knight, because this would contradict the claim of Sebastian that If Charlotte is a knight then Charlotte is a knave.", "Charlotte 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 Charlotte, so let us go back and reconsider Sebastian.", "Assume Sebastian is a knave. No contradiction is found in their false claim that If Charlotte is a knight then Charlotte is a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that Matthew is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 2), ('lying', 2)), ('not', ('lying', 0)), ('->', ('telling-truth', 1), ('lying', 1)))", "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 3 inhabitants: Isabella, Evelyn, and Victoria. \"Evelyn is a knave and Victoria is a knave,\" Isabella declared. \"Victoria is a knave and Isabella is a knave,\" Evelyn declared. Victoria stated, \"Isabella is not a knave\". So who is a knight and who is a knave?", "names": ["Isabella", "Evelyn", "Victoria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Isabella is a knave, Evelyn is a knight, and Victoria is a knave.", "solution_text_format": "(1) Isabella is a knave\n(2) Evelyn is a knight\n(3) 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 Evelyn is a knave and Victoria is a knave.", "Evelyn cannot be a knight, because this would contradict the claim of Isabella that Evelyn is a knave and Victoria is a knave.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Victoria is a knave and Isabella is a knave.", "Victoria cannot be a knight, because this would contradict the claim of Isabella that Evelyn is a knave and Victoria is a knave.", "Victoria 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 Victoria and Evelyn, so let us go back and reconsider Isabella.", "Assume Isabella is a knave. No contradiction is found in their false claim that Evelyn is a knave and Victoria is a knave.", "Assume Evelyn is a knight. No contradiction is found in their claim that Victoria is a knave and Isabella is a knave.", "Victoria cannot be a knight, because this would contradict the claim of Evelyn that Victoria is a knave and Isabella is a knave.", "Assume Victoria is a knave. No contradiction is found in their false claim that Isabella is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('lying', 2)), ('and', ('lying', 2), ('lying', 0)), ('not', ('lying', 0)))", "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 3 inhabitants: Aurora, Evelyn, and Emily. Aurora asserted: \"Evelyn is a knave and Evelyn is a knight\". In a statement by Evelyn: \"If Emily is a knight then Aurora is a knave\". In Emily's words: \"If Evelyn is a knave then Aurora is a knave\". So who is a knight and who is a knave?", "names": ["Aurora", "Evelyn", "Emily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Aurora is a knave, Evelyn is a knight, and Emily is a knight.", "solution_text_format": "(1) Aurora is a knave\n(2) Evelyn is a knight\n(3) 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": ["Aurora cannot be a knight, because this would contradict the claim of their own that Evelyn is a knave and Evelyn is a knight.", "Assume Aurora is a knave. No contradiction is found in their false claim that Evelyn is a knave and Evelyn is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that If Emily is a knight then Aurora is a knave.", "Assume Emily is a knight. No contradiction is found in their claim that If Evelyn is a knave then Aurora is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('telling-truth', 1)), ('->', ('telling-truth', 2), ('lying', 0)), ('->', ('lying', 1), ('lying', 0)))", "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 3 inhabitants: Mia, Lucas, and Scarlett. Mia noted, \"Lucas is a knave or Scarlett is a knight\". Lucas asserted: \"Scarlett is a knight and Scarlett is a knave\". Scarlett commented, \"Mia is a knave and Mia is a knight\". So who is a knight and who is a knave?", "names": ["Mia", "Lucas", "Scarlett"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false], "solution_text": "Mia is a knight, Lucas is a knave, and Scarlett is a knave.", "solution_text_format": "(1) Mia is a knight\n(2) Lucas is a knave\n(3) 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 Mia is a knight. No contradiction is found in their claim that Lucas is a knave or Scarlett is a knight.", "Lucas cannot be a knight, because this would contradict the claim of their own that Scarlett is a knight and Scarlett is a knave.", "Assume Lucas 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 Mia is a knave and Mia is a knight.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Mia is a knave and Mia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('telling-truth', 2)), ('and', ('telling-truth', 2), ('lying', 2)), ('and', ('lying', 0), ('telling-truth', 0)))", "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 3 inhabitants: Sofia, Aria, and Riley. Sofia said, \"Riley is a knight if and only if Aria is a knave.\" Aria said that Sofia is a knave. Riley expressed that Aria is a knight. So who is a knight and who is a knave?", "names": ["Sofia", "Aria", "Riley"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Sofia is a knave, Aria is a knight, and Riley is a knight.", "solution_text_format": "(1) Sofia is a knave\n(2) Aria is a knight\n(3) 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 Sofia is a knight. No contradiction is found in their claim that Riley is a knight if and only if Aria is a knave.", "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 Sofia that Riley is a knight if and only if Aria 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 claim of their own that Sofia is a knave.", "Aria cannot be a knave, because this would contradict the claim of Sofia that Riley is a knight if and only if Aria is a knave.", "We have exhausted all possibilities for Aria and Riley, so let us go back and reconsider Sofia.", "Assume Sofia is a knave. No contradiction is found in their false claim that Riley is a knight if and only if Aria is a knave.", "Assume Riley 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 Sofia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 2), ('lying', 1)), ('lying', 0), ('telling-truth', 1))", "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 3 inhabitants: Harper, Isabella, and Elizabeth. Harper commented, \"Isabella is a knave and Harper is a knight\". In Isabella's words: \"Harper is a knight if and only if Isabella is a knight\". \"Isabella is not a knight\" - Elizabeth. So who is a knight and who is a knave?", "names": ["Harper", "Isabella", "Elizabeth"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Harper is a knight, Isabella is a knave, and Elizabeth is a knight.", "solution_text_format": "(1) Harper is a knight\n(2) Isabella is a knave\n(3) 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 Isabella is a knave and Harper is a knight.", "Isabella cannot be a knight, because this would contradict the claim of Harper that Isabella is a knave and Harper is a knight.", "Assume Isabella is a knave. No contradiction is found in their false claim that Harper is a knight if and only if Isabella is a knight.", "Assume Elizabeth 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', ('lying', 1), ('telling-truth', 0)), ('<=>', ('telling-truth', 0), ('telling-truth', 1)), ('not', ('telling-truth', 1)))", "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 3 inhabitants: Mason, Emma, and Alexander. \"Alexander is a knight or Alexander is a knave,\" Mason mentioned. As Emma put it, \"Alexander is a knight or Mason is a knave\". \"Mason is a knave if and only if Mason is a knight,\" Alexander declared. So who is a knight and who is a knave?", "names": ["Mason", "Emma", "Alexander"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false], "solution_text": "Mason is a knight, Emma is a knave, and Alexander is a knave.", "solution_text_format": "(1) Mason is a knight\n(2) Emma is a knave\n(3) 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 Mason 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 Mason is a knave if and only if Mason is a knight.", "Assume Alexander is a knave. No contradiction is found in their false claim that Mason is a knave if and only if Mason is a knight.", "Emma cannot be a knight, because this would contradict the claim of their own that Alexander is a knight or Mason is a knave.", "Assume Emma is a knave. No contradiction is found in their false claim that Alexander is a knight or Mason is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 2), ('lying', 2)), ('or', ('telling-truth', 2), ('lying', 0)), ('<=>', ('lying', 0), ('telling-truth', 0)))", "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 3 inhabitants: Scarlett, Riley, and Zoey. According to Scarlett, \"Riley is a knave or Zoey is a knave\". According to Riley, \"Scarlett is a knave if and only if Riley is a knight\". \"Riley is a knave or Zoey is a knight,\" Zoey claimed. So who is a knight and who is a knave?", "names": ["Scarlett", "Riley", "Zoey"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Scarlett is a knave, Riley is a knight, and Zoey is a knight.", "solution_text_format": "(1) Scarlett is a knave\n(2) Riley is a knight\n(3) 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 Scarlett is a knight. No contradiction is found in their claim that Riley is a knave or Zoey is a knave.", "Riley cannot be a knight, because this would contradict the claim of their own that Scarlett 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 Scarlett 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 Scarlett.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Riley is a knave or Zoey is a knave.", "Assume Riley is a knight. No contradiction is found in their claim that Scarlett is a knave if and only if Riley is a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that Riley is a knave or Zoey is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('lying', 2)), ('<=>', ('lying', 0), ('telling-truth', 1)), ('or', ('lying', 1), ('telling-truth', 2)))", "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 3 inhabitants: James, Evelyn, and Noah. \"Evelyn is a knave if and only if Noah is a knave,\" James mentioned. Evelyn asserted: \"James is a knight or Noah is a knave\". \"Evelyn is not a knave,\" Noah declared. So who is a knight and who is a knave?", "names": ["James", "Evelyn", "Noah"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "James is a knight, Evelyn is a knight, and Noah is a knight.", "solution_text_format": "(1) James is a knight\n(2) Evelyn is a knight\n(3) 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 James is a knight. No contradiction is found in their claim that Evelyn is a knave if and only if Noah is a knave.", "Assume Evelyn is a knight. No contradiction is found in their claim that James is a knight or Noah is a knave.", "Assume Noah 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": "(('<=>', ('lying', 1), ('lying', 2)), ('or', ('telling-truth', 0), ('lying', 2)), ('not', ('lying', 1)))", "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 3 inhabitants: Aurora, Benjamin, and Mason. Aurora remarked, \"If Mason is a knave then Mason is a knight\". Benjamin told you that Aurora is a knight. Mason noted, \"If Benjamin is a knave then Aurora is a knave\". So who is a knight and who is a knave?", "names": ["Aurora", "Benjamin", "Mason"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Aurora is a knight, Benjamin is a knight, and Mason is a knight.", "solution_text_format": "(1) Aurora is a knight\n(2) Benjamin is a knight\n(3) 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 Aurora is a knight. No contradiction is found in their claim that If Mason is a knave then Mason is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that If Benjamin is a knave then Aurora is a knave.", "Assume Benjamin is a knight. No contradiction is found in their claim that Aurora is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 2), ('telling-truth', 2)), ('telling-truth', 0), ('->', ('lying', 1), ('lying', 0)))", "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 3 inhabitants: Sophia, Alexander, and Amelia. Sophia was heard saying, \"If Amelia is a knave then Alexander is a knave\". In a statement by Alexander: \"Amelia is not a knave\". \"If Amelia is a knight then Alexander is a knight,\" Amelia mentioned. So who is a knight and who is a knave?", "names": ["Sophia", "Alexander", "Amelia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Sophia is a knight, Alexander is a knight, and Amelia is a knight.", "solution_text_format": "(1) Sophia is a knight\n(2) Alexander is a knight\n(3) 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 Sophia is a knight. No contradiction is found in their claim that If Amelia is a knave then Alexander is a knave.", "Assume Amelia is a knight. No contradiction is found in their claim that If Amelia is a knight then Alexander is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that Amelia is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 2), ('lying', 1)), ('not', ('lying', 2)), ('->', ('telling-truth', 2), ('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 3 inhabitants: Mason, Jacob, and Jack. Mason said that Jack is a knave and Mason is a knight. Jacob remarked, \"Jacob is a knight and Jack is a knight\". In a statement by Jack: \"Mason is a knight\". So who is a knight and who is a knave?", "names": ["Mason", "Jacob", "Jack"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false], "solution_text": "Mason is a knave, Jacob is a knave, and Jack is a knave.", "solution_text_format": "(1) Mason is a knave\n(2) Jacob is a knave\n(3) 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 Mason is a knight. No contradiction is found in their claim that Jack is a knave and Mason is a knight.", "Jack cannot be a knight, because this would contradict the claim of Mason that Jack is a knave and Mason is a knight.", "Jack 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 Jack, so let us go back and reconsider Mason.", "Assume Mason is a knave. No contradiction is found in their false claim that Jack is a knave and Mason is a knight.", "Jack cannot be a knight, because this would contradict the claim of their own that Mason is a knight.", "Assume Jack is a knave. No contradiction is found in their false claim that Mason is a knight.", "Jacob cannot be a knight, because this would contradict the claim of their own that Jacob is a knight and Jack is a knight.", "Assume Jacob is a knave. No contradiction is found in their false claim that Jacob is a knight and Jack is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('telling-truth', 0)), ('and', ('telling-truth', 1), ('telling-truth', 2)), ('telling-truth', 0))", "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 3 inhabitants: Lucas, Penelope, and Emily. In Lucas's words: \"Penelope is a knave\". Penelope noted, \"Lucas is a knight and Penelope is a knight\". \"If Penelope is a knave then Lucas is a knight,\" Emily declared. So who is a knight and who is a knave?", "names": ["Lucas", "Penelope", "Emily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Lucas is a knight, Penelope is a knave, and Emily is a knight.", "solution_text_format": "(1) Lucas is a knight\n(2) Penelope is a knave\n(3) 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 Lucas 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 Lucas that Penelope is a knave.", "Assume Penelope is a knave. No contradiction is found in their false claim that Lucas is a knight and Penelope is a knight.", "Assume Emily is a knight. No contradiction is found in their claim that If Penelope is a knave then Lucas is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('and', ('telling-truth', 0), ('telling-truth', 1)), ('->', ('lying', 1), ('telling-truth', 0)))", "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 3 inhabitants: Samuel, Emily, and Mia. Samuel noted, \"Emily is a knight if and only if Mia is a knave\". Emily commented, \"Samuel is not a knight\". Mia noted, \"If Samuel is a knight then Emily is a knight\". So who is a knight and who is a knave?", "names": ["Samuel", "Emily", "Mia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Samuel is a knave, Emily is a knight, and Mia is a knight.", "solution_text_format": "(1) Samuel is a knave\n(2) Emily is a knight\n(3) 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 Samuel is a knight. No contradiction is found in their claim that Emily is a knight if and only if Mia is a knave.", "Emily cannot be a knight, because this would contradict the claim of their own that Samuel is not a knight.", "Assume Emily is a knave. No contradiction is found in their false claim that Samuel is not a knight.", "Mia cannot be a knight, because this would contradict the claim of their own that If Samuel is a knight then Emily is a knight.", "Mia cannot be a knave, because this would contradict the claim of Samuel that Emily is a knight if and only if Mia is a knave.", "We have exhausted all possibilities for Mia and Emily, so let us go back and reconsider Samuel.", "Assume Samuel is a knave. No contradiction is found in their false claim that Emily is a knight if and only if Mia is a knave.", "Assume Emily is a knight. No contradiction is found in their claim that Samuel is not a knight.", "Assume Mia is a knight. No contradiction is found in their claim that If Samuel is a knight then Emily is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('lying', 2)), ('not', ('telling-truth', 0)), ('->', ('telling-truth', 0), ('telling-truth', 1)))", "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 3 inhabitants: Owen, Mason, and James. \"Mason is a knight,\" Owen claimed. \"If Owen is a knave then James is a knight,\" Mason claimed. James commented, \"Owen is a knave or Mason is a knave\". So who is a knight and who is a knave?", "names": ["Owen", "Mason", "James"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Owen is a knight, Mason is a knight, and James is a knave.", "solution_text_format": "(1) Owen is a knight\n(2) Mason is a knight\n(3) 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 Owen 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 If Owen is a knave then James is a knight.", "James cannot be a knight, because this would contradict the claim of their own that Owen is a knave or Mason is a knave.", "Assume James is a knave. No contradiction is found in their false claim that Owen is a knave or Mason is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 1), ('->', ('lying', 0), ('telling-truth', 2)), ('or', ('lying', 0), ('lying', 1)))", "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 3 inhabitants: Elizabeth, Matthew, and Owen. According to Elizabeth, \"If Matthew is a knave then Elizabeth is a knight\". Matthew was heard saying, \"Owen is a knight if and only if Elizabeth is a knight\". \"Elizabeth is a knave if and only if Owen is a knight,\" Owen mentioned. So who is a knight and who is a knave?", "names": ["Elizabeth", "Matthew", "Owen"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Elizabeth is a knave, Matthew is a knave, and Owen is a knight.", "solution_text_format": "(1) Elizabeth is a knave\n(2) Matthew is a knave\n(3) 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 Elizabeth is a knight. No contradiction is found in their claim that If Matthew is a knave then Elizabeth is a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that Owen is a knight if and only if Elizabeth is a knight.", "Owen cannot be a knight, because this would contradict the claim of their own that Elizabeth is a knave if and only if Owen is a knight.", "Owen cannot be a knave, because this would contradict the claim of Matthew that Owen is a knight if and only if Elizabeth is a knight.", "We have exhausted all possibilities for Owen, so let us go back and reconsider Matthew.", "Assume Matthew is a knave. No contradiction is found in their false claim that Owen is a knight if and only if Elizabeth is a knight.", "Owen cannot be a knight, because this would contradict the false claim of Matthew that Owen is a knight if and only if Elizabeth is a knight.", "Owen cannot be a knave, because this would contradict the false claim of their own that Elizabeth is a knave if and only if Owen is a knight.", "We have exhausted all possibilities for Owen and Matthew, so let us go back and reconsider Elizabeth.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that If Matthew is a knave then Elizabeth is a knight.", "Matthew cannot be a knight, because this would contradict the false claim of Elizabeth that If Matthew is a knave then Elizabeth is a knight.", "Assume Matthew is a knave. No contradiction is found in their false claim that Owen is a knight if and only if Elizabeth 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."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 1), ('telling-truth', 0)), ('<=>', ('telling-truth', 2), ('telling-truth', 0)), ('<=>', ('lying', 0), ('telling-truth', 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 3 inhabitants: Henry, Jack, and Michael. Henry commented, \"If Henry is a knight then Michael is a knave\". Jack told you that Jack is a knight. In Michael's words: \"Jack is a knight if and only if Henry is a knave\". So who is a knight and who is a knave?", "names": ["Henry", "Jack", "Michael"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Henry is a knight, Jack is a knight, and Michael is a knave.", "solution_text_format": "(1) Henry is a knight\n(2) Jack is a knight\n(3) 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 Henry is a knight. No contradiction is found in their claim that If Henry is a knight then Michael is a knave.", "Michael cannot be a knight, because this would contradict the claim of Henry that If Henry is a knight then Michael is a knave.", "Assume Michael is a knave. No contradiction is found in their false claim that Jack is a knight if and only if Henry is a knave.", "Assume Jack is a knight. No contradiction is found in their claim that Jack is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 0), ('lying', 2)), ('telling-truth', 1), ('<=>', ('telling-truth', 1), ('lying', 0)))", "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 3 inhabitants: Ava, Avery, and Zoey. \"Zoey is a knave and Avery is a knave,\" Ava declared. \"Zoey is a knave,\" Avery mentioned. \"Zoey is a knight if and only if Avery is a knight,\" Zoey mentioned. So who is a knight and who is a knave?", "names": ["Ava", "Avery", "Zoey"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Ava is a knave, Avery is a knight, and Zoey is a knave.", "solution_text_format": "(1) Ava is a knave\n(2) Avery is a knight\n(3) 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 Ava is a knight. No contradiction is found in their claim that Zoey is a knave and Avery is a knave.", "Zoey cannot be a knight, because this would contradict the claim of Ava that Zoey is a knave and Avery is a knave.", "Assume Zoey is a knave. No contradiction is found in their false claim that Zoey is a knight if and only if Avery is a knight.", "Avery cannot be a knight, because this would contradict the claim of Ava that Zoey is a knave and Avery is a knave.", "Avery 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 Avery and 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 a knave and Avery is a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that Zoey is a knight if and only if Avery is a knight.", "Avery cannot be a knight, because this would contradict the claim of their own that Zoey is a knave.", "Avery cannot be a knave, because this would contradict the claim of Zoey that Zoey is a knight if and only if Avery is a knight.", "We have exhausted all possibilities for Avery, 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 if and only if Avery is a knight.", "Assume Avery is a knight. No contradiction is found in their claim that Zoey is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('lying', 1)), ('lying', 2), ('<=>', ('telling-truth', 2), ('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 3 inhabitants: Owen, Penelope, and Oliver. Owen commented, \"If Owen is a knight then Penelope is a knave\". Penelope was heard saying, \"Penelope is a knight and Oliver is a knight\". \"Penelope is a knave,\" Oliver claimed. So who is a knight and who is a knave?", "names": ["Owen", "Penelope", "Oliver"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Owen is a knight, Penelope is a knave, and Oliver is a knight.", "solution_text_format": "(1) Owen is a knight\n(2) Penelope is a knave\n(3) 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 Owen is a knight. No contradiction is found in their claim that If Owen is a knight then Penelope is a knave.", "Penelope cannot be a knight, because this would contradict the claim of Owen that If Owen is a knight then Penelope is a knave.", "Assume Penelope is a knave. No contradiction is found in their false claim that Penelope is a knight and Oliver is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that Penelope is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 0), ('lying', 1)), ('and', ('telling-truth', 1), ('telling-truth', 2)), ('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 3 inhabitants: Daniel, Luke, and Penelope. As Daniel put it, \"Penelope is a knight and Daniel is a knight\". \"Penelope is a knight if and only if Daniel is a knight\" - Luke. \"Luke is not a knave,\" Penelope claimed. So who is a knight and who is a knave?", "names": ["Daniel", "Luke", "Penelope"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Daniel is a knight, Luke is a knight, and Penelope is a knight.", "solution_text_format": "(1) Daniel is a knight\n(2) Luke is a knight\n(3) 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 Daniel is a knight. No contradiction is found in their claim that Penelope is a knight and Daniel is a knight.", "Assume Penelope 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 Penelope is a knight if and only if Daniel is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 2), ('telling-truth', 0)), ('<=>', ('telling-truth', 2), ('telling-truth', 0)), ('not', ('lying', 1)))", "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 3 inhabitants: Samuel, Chloe, and Daniel. \"Chloe is a knight and Chloe is a knave,\" Samuel mentioned. In a statement by Chloe: \"If Daniel is a knight then Daniel is a knave\". Daniel said, \"Samuel is a knave.\" So who is a knight and who is a knave?", "names": ["Samuel", "Chloe", "Daniel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Samuel is a knave, Chloe is a knave, and Daniel is a knight.", "solution_text_format": "(1) Samuel is a knave\n(2) Chloe is a knave\n(3) 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": ["Samuel cannot be a knight, because this would contradict the claim of their own that Chloe is a knight and Chloe is a knave.", "Assume Samuel 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 If Daniel is a knight then Daniel is a knave.", "Daniel cannot be a knight, because this would contradict the claim of Chloe 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 Samuel is a knave.", "We have exhausted all possibilities for Daniel, so let us go back and reconsider Chloe.", "Assume Chloe 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 Samuel is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('lying', 1)), ('->', ('telling-truth', 2), ('lying', 2)), ('lying', 0))", "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 3 inhabitants: Ella, Emily, and Evelyn. As Ella put it, \"If Ella is a knight then Emily is a knight\". Emily asserted: \"Emily is a knight\". \"Emily is a knight\" - Evelyn. So who is a knight and who is a knave?", "names": ["Ella", "Emily", "Evelyn"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Ella is a knight, Emily is a knight, and Evelyn is a knight.", "solution_text_format": "(1) Ella is a knight\n(2) Emily is a knight\n(3) 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 Ella is a knight. No contradiction is found in their claim that If Ella is a knight then Emily is a knight.", "Assume Emily is a knight. No contradiction is found in their claim that Emily is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that Emily is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 0), ('telling-truth', 1)), ('telling-truth', 1), ('telling-truth', 1))", "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 3 inhabitants: Isabella, Zoey, and Riley. Isabella commented, \"Riley is a knight\". Zoey commented, \"Zoey is a knight and Isabella is a knight\". Riley stated, \"If Isabella is a knight then Zoey is a knight\". So who is a knight and who is a knave?", "names": ["Isabella", "Zoey", "Riley"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Isabella is a knight, Zoey is a knight, and Riley is a knight.", "solution_text_format": "(1) Isabella is a knight\n(2) Zoey is a knight\n(3) 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 Riley is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that If Isabella is a knight then Zoey is a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that Zoey is a knight and Isabella is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 2), ('and', ('telling-truth', 1), ('telling-truth', 0)), ('->', ('telling-truth', 0), ('telling-truth', 1)))", "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 3 inhabitants: Liam, Penelope, and Elizabeth. According to Liam, \"Penelope is a knight and Elizabeth is a knave\". Penelope commented, \"Liam is not a knight\". Elizabeth expressed that If Penelope is a knave then Penelope is a knight. So who is a knight and who is a knave?", "names": ["Liam", "Penelope", "Elizabeth"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Liam is a knave, Penelope is a knight, and Elizabeth is a knight.", "solution_text_format": "(1) Liam is a knave\n(2) Penelope is a knight\n(3) 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 Liam is a knight. No contradiction is found in their claim that Penelope is a knight and Elizabeth is a knave.", "Penelope cannot be a knight, because this would contradict the claim of their own that Liam is not a knight.", "Penelope cannot be a knave, because this would contradict the claim of Liam that Penelope is a knight and Elizabeth is a knave.", "We have exhausted all possibilities for Penelope, so let us go back and reconsider Liam.", "Assume Liam is a knave. No contradiction is found in their false claim that Penelope is a knight and Elizabeth is a knave.", "Assume Penelope is a knight. No contradiction is found in their claim that Liam is not a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that If Penelope is a knave then Penelope is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('lying', 2)), ('not', ('telling-truth', 0)), ('->', ('lying', 1), ('telling-truth', 1)))", "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 3 inhabitants: Owen, Aria, and Liam. Owen said that Aria is a knight and Owen is a knight. Aria asserted: \"Owen is a knave\". Liam expressed that Owen is not a knight. So who is a knight and who is a knave?", "names": ["Owen", "Aria", "Liam"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Owen is a knave, Aria is a knight, and Liam is a knight.", "solution_text_format": "(1) Owen is a knave\n(2) Aria is a knight\n(3) 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 Owen is a knight. No contradiction is found in their claim that Aria is a knight and Owen is a knight.", "Aria cannot be a knight, because this would contradict the claim of their own that Owen is a knave.", "Aria cannot be a knave, because this would contradict the claim of Owen that Aria is a knight and Owen is a knight.", "We have exhausted all possibilities for Aria, so let us go back and reconsider Owen.", "Assume Owen is a knave. No contradiction is found in their false claim that Aria is a knight and Owen is a knight.", "Assume Aria is a knight. No contradiction is found in their claim that Owen is a knave.", "Assume Liam is a knight. No contradiction is found in their claim that Owen is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('telling-truth', 0)), ('lying', 0), ('not', ('telling-truth', 0)))", "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 3 inhabitants: Owen, Aria, and Oliver. Owen commented, \"Owen is a knight and Oliver is a knight\". Aria was heard saying, \"Oliver is a knave or Oliver is a knight\". Oliver told you that Aria is a knave if and only if Aria is a knight. So who is a knight and who is a knave?", "names": ["Owen", "Aria", "Oliver"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Owen is a knave, Aria is a knight, and Oliver is a knave.", "solution_text_format": "(1) Owen is a knave\n(2) Aria is a knight\n(3) 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 Owen is a knight. No contradiction is found in their claim that Owen is a knight and Oliver is a knight.", "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.", "Oliver cannot be a knave, because this would contradict the claim of Owen that Owen is a knight and Oliver is a knight.", "We have exhausted all possibilities for Oliver, so let us go back and reconsider Owen.", "Assume Owen is a knave. No contradiction is found in their false claim that Owen is a knight and Oliver is a knight.", "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.", "Assume Aria is a knight. No contradiction is found in their claim that Oliver is a knave or Oliver is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 0), ('telling-truth', 2)), ('or', ('lying', 2), ('telling-truth', 2)), ('<=>', ('lying', 1), ('telling-truth', 1)))", "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 3 inhabitants: Riley, Emily, and Daniel. In Riley's words: \"Daniel is a knight or Daniel is a knave\". \"If Daniel is a knight then Emily is a knight,\" Emily mentioned. Daniel said that Daniel is a knight if and only if Emily is a knave. So who is a knight and who is a knave?", "names": ["Riley", "Emily", "Daniel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Riley is a knight, Emily is a knave, and Daniel is a knight.", "solution_text_format": "(1) Riley is a knight\n(2) Emily is a knave\n(3) 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 Riley 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 Daniel is a knight if and only if Emily is a knave.", "Emily cannot be a knight, because this would contradict the claim of Daniel that Daniel 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 If Daniel is a knight then Emily is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 2), ('lying', 2)), ('->', ('telling-truth', 2), ('telling-truth', 1)), ('<=>', ('telling-truth', 2), ('lying', 1)))", "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 3 inhabitants: Mason, Zoey, and Owen. Mason commented, \"Mason is a knight\". In a statement by Zoey: \"If Zoey is a knight then Owen is a knave\". \"Mason is a knave or Owen is a knight,\" Owen mentioned. So who is a knight and who is a knave?", "names": ["Mason", "Zoey", "Owen"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Mason is a knight, Zoey is a knight, and Owen is a knave.", "solution_text_format": "(1) Mason is a knight\n(2) Zoey is a knight\n(3) 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 Mason is a knight. No contradiction is found in their claim that Mason is a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that If Zoey is a knight then Owen is a knave.", "Owen cannot be a knight, because this would contradict the claim of Zoey that If Zoey is a knight then Owen is a knave.", "Assume Owen is a knave. No contradiction is found in their false claim that Mason is a knave or Owen is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 0), ('->', ('telling-truth', 1), ('lying', 2)), ('or', ('lying', 0), ('telling-truth', 2)))", "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 3 inhabitants: Logan, Elizabeth, and Harper. Logan asserted: \"Harper is a knight and Harper is a knave\". Elizabeth remarked, \"Harper is a knave and Logan is a knave\". In a statement by Harper: \"Logan is not a knight\". So who is a knight and who is a knave?", "names": ["Logan", "Elizabeth", "Harper"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Logan is a knave, Elizabeth is a knave, and Harper is a knight.", "solution_text_format": "(1) Logan is a knave\n(2) Elizabeth is a knave\n(3) 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": ["Logan cannot be a knight, because this would contradict the claim of their own that Harper is a knight and Harper is a knave.", "Assume Logan 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 Logan is not a knight.", "Elizabeth cannot be a knight, because this would contradict the claim of their own that Harper is a knave and Logan is a knave.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Harper is a knave and Logan is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 2), ('lying', 2)), ('and', ('lying', 2), ('lying', 0)), ('not', ('telling-truth', 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 3 inhabitants: Lily, Chloe, and Aurora. Lily was heard saying, \"Aurora is a knave and Chloe is a knave\". In Chloe's words: \"Chloe is a knight if and only if Lily is a knight\". Aurora was heard saying, \"Lily is not a knight\". So who is a knight and who is a knave?", "names": ["Lily", "Chloe", "Aurora"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false], "solution_text": "Lily is a knight, Chloe is a knave, and Aurora is a knave.", "solution_text_format": "(1) Lily is a knight\n(2) Chloe is a knave\n(3) 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 Lily is a knight. No contradiction is found in their claim that Aurora is a knave and Chloe is a knave.", "Aurora cannot be a knight, because this would contradict the claim of Lily that Aurora is a knave and Chloe is a knave.", "Assume Aurora is a knave. No contradiction is found in their false claim that Lily is not a knight.", "Chloe cannot be a knight, because this would contradict the claim of Lily that Aurora 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 Lily is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('lying', 1)), ('<=>', ('telling-truth', 1), ('telling-truth', 0)), ('not', ('telling-truth', 0)))", "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 3 inhabitants: Luke, Michael, and Elizabeth. Luke commented, \"If Elizabeth is a knight then Luke is a knight\". Michael said, \"Elizabeth is a knave and Elizabeth is a knight.\" \"Michael is a knave if and only if Luke is a knight\" - Elizabeth. So who is a knight and who is a knave?", "names": ["Luke", "Michael", "Elizabeth"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Luke is a knight, Michael is a knave, and Elizabeth is a knight.", "solution_text_format": "(1) Luke is a knight\n(2) Michael is a knave\n(3) 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 Luke is a knight. No contradiction is found in their claim that If Elizabeth is a knight then Luke is a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Michael is a knave if and only if Luke is a knight.", "Michael cannot be a knight, because this would contradict the claim of their own that Elizabeth is a knave and Elizabeth is a knight.", "Assume Michael is a knave. No contradiction is found in their false claim that Elizabeth is a knave and Elizabeth is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 2), ('telling-truth', 0)), ('and', ('lying', 2), ('telling-truth', 2)), ('<=>', ('lying', 1), ('telling-truth', 0)))", "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 3 inhabitants: Abigail, Harper, and Olivia. In Abigail's words: \"Harper is a knight or Harper is a knave\". As Harper put it, \"Olivia is a knave or Harper is a knight\". According to Olivia, \"Harper is not a knave\". So who is a knight and who is a knave?", "names": ["Abigail", "Harper", "Olivia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Abigail is a knight, Harper is a knight, and Olivia is a knight.", "solution_text_format": "(1) Abigail is a knight\n(2) Harper is a knight\n(3) 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 Abigail is a knight. No contradiction is found in their claim that Harper is a knight or Harper is a knave.", "Assume Harper is a knight. No contradiction is found in their claim that Olivia is a knave or Harper is a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that Harper is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 1), ('lying', 1)), ('or', ('lying', 2), ('telling-truth', 1)), ('not', ('lying', 1)))", "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 3 inhabitants: James, Benjamin, and Emma. \"Benjamin is not a knave,\" James mentioned. Benjamin commented, \"Emma is a knave and Benjamin is a knight\". \"James is a knave or Benjamin is a knight\" - Emma. So who is a knight and who is a knave?", "names": ["James", "Benjamin", "Emma"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "James is a knave, Benjamin is a knave, and Emma is a knight.", "solution_text_format": "(1) James is a knave\n(2) Benjamin is a knave\n(3) 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 James 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 Emma is a knave and Benjamin is a knight.", "Emma cannot be a knight, because this would contradict the claim of Benjamin that Emma is a knave and Benjamin is a knight.", "Emma cannot be a knave, because this would contradict the false claim of their own that James is a knave or Benjamin is a knight.", "We have exhausted all possibilities for Emma, so let us go back and reconsider Benjamin.", "Benjamin cannot be a knave, because this would contradict the claim of James that Benjamin is not a knave.", "We have exhausted all possibilities for Benjamin, so let us go back and reconsider James.", "Assume James 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 James that Benjamin is not a knave.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Emma is a knave and Benjamin is a knight.", "Assume Emma is a knight. No contradiction is found in their claim that James is a knave or Benjamin is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 1)), ('and', ('lying', 2), ('telling-truth', 1)), ('or', ('lying', 0), ('telling-truth', 1)))", "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 3 inhabitants: Owen, Oliver, and Abigail. Owen commented, \"Abigail is not a knight\". Oliver asserted: \"If Abigail is a knave then Owen is a knave\". Abigail said, \"Abigail is a knight and Oliver is a knave.\" So who is a knight and who is a knave?", "names": ["Owen", "Oliver", "Abigail"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false], "solution_text": "Owen is a knight, Oliver is a knave, and Abigail is a knave.", "solution_text_format": "(1) Owen is a knight\n(2) Oliver is a knave\n(3) 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 Owen 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 Owen that Abigail is not a knight.", "Assume Abigail is a knave. No contradiction is found in their false claim that Abigail is a knight and Oliver is a knave.", "Oliver cannot be a knight, because this would contradict the claim of their own that If Abigail is a knave then Owen is a knave.", "Assume Oliver is a knave. No contradiction is found in their false claim that If Abigail is a knave then Owen is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 2)), ('->', ('lying', 2), ('lying', 0)), ('and', ('telling-truth', 2), ('lying', 1)))", "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 3 inhabitants: Aurora, Ava, and Riley. Aurora commented, \"Ava is a knight or Aurora is a knight\". Ava expressed that If Aurora is a knave then Riley is a knight. \"If Aurora is a knight then Ava is a knight,\" Riley claimed. So who is a knight and who is a knave?", "names": ["Aurora", "Ava", "Riley"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Aurora is a knight, Ava is a knight, and Riley is a knight.", "solution_text_format": "(1) Aurora is a knight\n(2) Ava is a knight\n(3) 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 Aurora is a knight. No contradiction is found in their claim that Ava is a knight or Aurora is a knight.", "Assume Ava is a knight. No contradiction is found in their claim that If Aurora is a knave then Riley is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that If Aurora is a knight then Ava is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 1), ('telling-truth', 0)), ('->', ('lying', 0), ('telling-truth', 2)), ('->', ('telling-truth', 0), ('telling-truth', 1)))", "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 3 inhabitants: Victoria, Aurora, and Ella. \"Aurora is a knave if and only if Victoria is a knight,\" Victoria declared. Aurora said, \"Ella is a knave.\" In a statement by Ella: \"Victoria is a knight if and only if Aurora is a knight\". So who is a knight and who is a knave?", "names": ["Victoria", "Aurora", "Ella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Victoria is a knave, Aurora is a knave, and Ella is a knight.", "solution_text_format": "(1) Victoria is a knave\n(2) Aurora is a knave\n(3) 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 Victoria is a knight. No contradiction is found in their claim that Aurora is a knave if and only if Victoria is a knight.", "Aurora cannot be a knight, because this would contradict the claim of Victoria that Aurora is a knave if and only if Victoria is a knight.", "Assume Aurora 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 Victoria is a knight if and only if Aurora is a knight.", "Ella cannot be a knave, because this would contradict the false claim of Aurora that Ella is a knave.", "We have exhausted all possibilities for Ella and Aurora, so let us go back and reconsider Victoria.", "Assume Victoria is a knave. No contradiction is found in their false claim that Aurora is a knave if and only if Victoria is a knight.", "Aurora cannot be a knight, because this would contradict the false claim of Victoria that Aurora is a knave if and only if Victoria is a knight.", "Assume Aurora 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 Victoria is a knight if and only if Aurora is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('telling-truth', 0)), ('lying', 2), ('<=>', ('telling-truth', 0), ('telling-truth', 1)))", "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 3 inhabitants: Avery, Aria, and Evelyn. Avery told you that Aria is a knave. \"Aria is a knight or Avery is a knight,\" Aria mentioned. Evelyn commented, \"Avery is a knight or Avery is a knave\". So who is a knight and who is a knave?", "names": ["Avery", "Aria", "Evelyn"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Avery is a knave, Aria is a knight, and Evelyn is a knight.", "solution_text_format": "(1) Avery is a knave\n(2) Aria is a knight\n(3) 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 Aria is a knave.", "Aria cannot be a knight, because this would contradict the claim of Avery that Aria is a knave.", "Aria cannot be a knave, because this would contradict the false claim of their own that Aria is a knight or Avery is a knight.", "We have exhausted all possibilities for Aria, so let us go back and reconsider Avery.", "Assume Avery 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 Aria is a knight or Avery is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that Avery is a knight or Avery is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('or', ('telling-truth', 1), ('telling-truth', 0)), ('or', ('telling-truth', 0), ('lying', 0)))", "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 3 inhabitants: Ella, Jackson, and Sophia. According to Ella, \"Sophia is a knave if and only if Ella is a knight\". In Jackson's words: \"Ella is a knave and Ella is a knight\". Sophia expressed that If Ella is a knight then Ella is a knave. So who is a knight and who is a knave?", "names": ["Ella", "Jackson", "Sophia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false], "solution_text": "Ella is a knight, Jackson is a knave, and Sophia is a knave.", "solution_text_format": "(1) Ella is a knight\n(2) Jackson is a knave\n(3) 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 Ella is a knight. No contradiction is found in their claim that Sophia is a knave if and only if Ella is a knight.", "Sophia cannot be a knight, because this would contradict the claim of Ella that Sophia is a knave if and only if Ella is a knight.", "Assume Sophia is a knave. No contradiction is found in their false claim that If Ella is a knight then Ella is a knave.", "Jackson cannot be a knight, because this would contradict the claim of their own that Ella is a knave and Ella is a knight.", "Assume Jackson is a knave. No contradiction is found in their false claim that Ella is a knave and Ella is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 2), ('telling-truth', 0)), ('and', ('lying', 0), ('telling-truth', 0)), ('->', ('telling-truth', 0), ('lying', 0)))", "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 3 inhabitants: Emma, Olivia, and Sofia. According to Emma, \"Olivia is not a knight\". \"Sofia is a knight if and only if Sofia is a knave\" - Olivia. As Sofia put it, \"Emma is a knight and Emma is a knave\". So who is a knight and who is a knave?", "names": ["Emma", "Olivia", "Sofia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false], "solution_text": "Emma is a knight, Olivia is a knave, and Sofia is a knave.", "solution_text_format": "(1) Emma is a knight\n(2) Olivia is a knave\n(3) 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 Emma 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 Emma that Olivia is not a knight.", "Assume Olivia is a knave. No contradiction is found in their false claim that Sofia is a knight if and only if Sofia is a knave.", "Sofia cannot be a knight, because this would contradict the claim of their own that Emma is a knight and Emma is a knave.", "Assume Sofia is a knave. No contradiction is found in their false claim that Emma is a knight and Emma is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('<=>', ('telling-truth', 2), ('lying', 2)), ('and', ('telling-truth', 0), ('lying', 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 3 inhabitants: James, Harper, and Alexander. According to James, \"Alexander is a knight if and only if Alexander is a knave\". \"Alexander is a knight,\" Harper mentioned. According to Alexander, \"If James is a knight then Harper is a knave\". So who is a knight and who is a knave?", "names": ["James", "Harper", "Alexander"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "James is a knave, Harper is a knight, and Alexander is a knight.", "solution_text_format": "(1) James is a knave\n(2) Harper is a knight\n(3) 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": ["James cannot be a knight, because this would contradict the claim of their own that Alexander is a knight if and only if Alexander is a knave.", "Assume James is a knave. No contradiction is found in their false claim that Alexander is a knight if and only if Alexander is a knave.", "Assume Alexander is a knight. No contradiction is found in their claim that If James is a knight then Harper is a knave.", "Assume Harper is a knight. No contradiction is found in their claim that Alexander is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 2), ('lying', 2)), ('telling-truth', 2), ('->', ('telling-truth', 0), ('lying', 1)))", "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 3 inhabitants: Emily, Harper, and Jack. \"If Harper is a knave then Emily is a knight,\" Emily declared. Harper said, \"Jack is a knave.\" In Jack's words: \"Harper is a knave and Harper is a knight\". So who is a knight and who is a knave?", "names": ["Emily", "Harper", "Jack"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Emily is a knight, Harper is a knight, and Jack is a knave.", "solution_text_format": "(1) Emily is a knight\n(2) Harper is a knight\n(3) 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 If Harper is a knave then Emily is a knight.", "Assume Harper 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 Harper that Jack is a knave.", "Assume Jack is a knave. No contradiction is found in their false claim that Harper is a knave and Harper is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 1), ('telling-truth', 0)), ('lying', 2), ('and', ('lying', 1), ('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 3 inhabitants: Penelope, Liam, and Charlotte. Penelope told you that Charlotte is a knight or Liam is a knight. Liam asserted: \"Penelope is a knave\". Charlotte asserted: \"If Penelope is a knave then Penelope is a knight\". So who is a knight and who is a knave?", "names": ["Penelope", "Liam", "Charlotte"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Penelope is a knight, Liam is a knave, and Charlotte is a knight.", "solution_text_format": "(1) Penelope is a knight\n(2) Liam is a knave\n(3) 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 Charlotte is a knight or Liam is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that If Penelope is a knave then Penelope is a knight.", "Liam cannot be a knight, because this would contradict the claim of their own that Penelope is a knave.", "Assume Liam is a knave. No contradiction is found in their false claim that Penelope is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 2), ('telling-truth', 1)), ('lying', 0), ('->', ('lying', 0), ('telling-truth', 0)))", "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 3 inhabitants: Grace, Noah, and Penelope. Grace noted, \"Noah is not a knave\". Noah was heard saying, \"Grace is a knave and Penelope is a knight\". Penelope told you that Grace is a knight if and only if Noah is a knave. So who is a knight and who is a knave?", "names": ["Grace", "Noah", "Penelope"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false], "solution_text": "Grace is a knave, Noah is a knave, and Penelope is a knave.", "solution_text_format": "(1) Grace is a knave\n(2) Noah is a knave\n(3) 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 Grace is a knight. No contradiction is found in their claim that Noah is not a knave.", "Noah cannot be a knight, because this would contradict the claim of their own that Grace is a knave and Penelope is a knight.", "Noah cannot be a knave, because this would contradict the claim of Grace that Noah is not a knave.", "We have exhausted all possibilities for Noah, so let us go back and reconsider Grace.", "Assume Grace 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 Grace that Noah is not a knave.", "Assume Noah is a knave. No contradiction is found in their false claim that Grace is a knave and Penelope is a knight.", "Penelope cannot be a knight, because this would contradict the false claim of Noah that Grace is a knave and Penelope is a knight.", "Assume Penelope is a knave. No contradiction is found in their false claim that Grace is a knight if and only if Noah is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 1)), ('and', ('lying', 0), ('telling-truth', 2)), ('<=>', ('telling-truth', 0), ('lying', 1)))", "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 3 inhabitants: Charlotte, Emma, and Sophia. \"Sophia is not a knight\" - Charlotte. Emma stated, \"If Sophia is a knight then Charlotte is a knave\". Sophia said, \"Emma is a knave.\" So who is a knight and who is a knave?", "names": ["Charlotte", "Emma", "Sophia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Charlotte is a knight, Emma is a knight, and Sophia is a knave.", "solution_text_format": "(1) Charlotte is a knight\n(2) Emma is a knight\n(3) 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 Charlotte 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 Charlotte that Sophia is not a knight.", "Assume Sophia 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 Sophia is a knight then Charlotte is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 2)), ('->', ('telling-truth', 2), ('lying', 0)), ('lying', 1))", "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 3 inhabitants: Jackson, Samuel, and Benjamin. Jackson stated, \"If Jackson is a knight then Samuel is a knave\". Samuel stated, \"Jackson is a knight if and only if Jackson is a knave\". \"If Samuel is a knight then Jackson is a knight,\" Benjamin declared. So who is a knight and who is a knave?", "names": ["Jackson", "Samuel", "Benjamin"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Jackson is a knight, Samuel is a knave, and Benjamin is a knight.", "solution_text_format": "(1) Jackson is a knight\n(2) Samuel is a knave\n(3) 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 Jackson is a knight. No contradiction is found in their claim that If Jackson is a knight then Samuel is a knave.", "Samuel cannot be a knight, because this would contradict the claim of Jackson that If Jackson is a knight then Samuel is a knave.", "Assume Samuel is a knave. No contradiction is found in their false claim that Jackson is a knight if and only if Jackson is a knave.", "Assume Benjamin is a knight. No contradiction is found in their claim that If Samuel is a knight then Jackson is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 0), ('lying', 1)), ('<=>', ('telling-truth', 0), ('lying', 0)), ('->', ('telling-truth', 1), ('telling-truth', 0)))", "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 3 inhabitants: Henry, Avery, and Victoria. According to Henry, \"Victoria is a knave\". \"Victoria is a knave,\" Avery mentioned. Victoria asserted: \"Henry is a knight if and only if Avery is a knave\". So who is a knight and who is a knave?", "names": ["Henry", "Avery", "Victoria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Henry is a knight, Avery is a knight, and Victoria is a knave.", "solution_text_format": "(1) Henry is a knight\n(2) Avery is a knight\n(3) 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 Henry 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 Henry that Victoria is a knave.", "Assume Victoria is a knave. No contradiction is found in their false claim that Henry is a knight if and only if Avery is a knave.", "Assume Avery is a knight. No contradiction is found in their claim that Victoria is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 2), ('lying', 2), ('<=>', ('telling-truth', 0), ('lying', 1)))", "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 3 inhabitants: David, Ella, and Isabella. David said, \"Ella is a knight.\" \"If Isabella is a knight then Ella is a knight,\" Ella mentioned. In a statement by Isabella: \"David is a knight and Ella is a knave\". So who is a knight and who is a knave?", "names": ["David", "Ella", "Isabella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "David is a knight, Ella is a knight, and Isabella is a knave.", "solution_text_format": "(1) David is a knight\n(2) Ella is a knight\n(3) 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 Ella is a knight.", "Assume Ella is a knight. No contradiction is found in their claim that If Isabella is a knight then Ella is a knight.", "Isabella cannot be a knight, because this would contradict the claim of their own that David is a knight and Ella is a knave.", "Assume Isabella is a knave. No contradiction is found in their false claim that David is a knight and Ella is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 1), ('->', ('telling-truth', 2), ('telling-truth', 1)), ('and', ('telling-truth', 0), ('lying', 1)))", "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 3 inhabitants: Abigail, Charlotte, and Aiden. Abigail expressed that Aiden is a knight. \"Aiden is a knave\" - Charlotte. \"Abigail is a knight if and only if Aiden is a knight,\" Aiden declared. So who is a knight and who is a knave?", "names": ["Abigail", "Charlotte", "Aiden"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Abigail is a knight, Charlotte is a knave, and Aiden is a knight.", "solution_text_format": "(1) Abigail is a knight\n(2) Charlotte is a knave\n(3) 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 Abigail 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 Abigail is a knight if and only if Aiden is a knight.", "Charlotte cannot be a knight, because this would contradict the claim of their own that Aiden is a knave.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Aiden is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 2), ('lying', 2), ('<=>', ('telling-truth', 0), ('telling-truth', 2)))", "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 3 inhabitants: Ethan, Elizabeth, and Sophia. Ethan asserted: \"Sophia is a knight and Elizabeth is a knight\". Elizabeth stated, \"Elizabeth is a knight\". Sophia said, \"Elizabeth is a knave or Ethan is a knave.\" So who is a knight and who is a knave?", "names": ["Ethan", "Elizabeth", "Sophia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Ethan is a knave, Elizabeth is a knave, and Sophia is a knight.", "solution_text_format": "(1) Ethan is a knave\n(2) Elizabeth is a knave\n(3) 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 Ethan is a knight. No contradiction is found in their claim that Sophia is a knight and Elizabeth is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that Elizabeth is a knave or Ethan is a knave.", "Elizabeth cannot be a knight, because this would contradict the claim of Sophia that Elizabeth is a knave or Ethan is a knave.", "Elizabeth cannot be a knave, because this would contradict the claim of Ethan that Sophia is a knight and Elizabeth is a knight.", "We have exhausted all possibilities for Elizabeth, so let us go back and reconsider Sophia.", "Sophia cannot be a knave, because this would contradict the claim of Ethan that Sophia is a knight and Elizabeth is a knight.", "We have exhausted all possibilities for Sophia, so let us go back and reconsider Ethan.", "Assume Ethan is a knave. No contradiction is found in their false claim that Sophia is a knight and Elizabeth is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that Elizabeth is a knave or Ethan is a knave.", "Elizabeth cannot be a knight, because this would contradict the false claim of Ethan that Sophia is a knight and Elizabeth is a knight.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Elizabeth is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 2), ('telling-truth', 1)), ('telling-truth', 1), ('or', ('lying', 1), ('lying', 0)))", "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 3 inhabitants: Jackson, Luke, and Zoey. \"Zoey is a knave if and only if Zoey is a knight,\" Jackson mentioned. \"If Luke is a knight then Zoey is a knave,\" Luke declared. In a statement by Zoey: \"Jackson is a knight or Zoey is a knight\". So who is a knight and who is a knave?", "names": ["Jackson", "Luke", "Zoey"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Jackson is a knave, Luke is a knight, and Zoey is a knave.", "solution_text_format": "(1) Jackson is a knave\n(2) Luke is a knight\n(3) 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": ["Jackson cannot be a knight, because this would contradict the claim of their own that Zoey is a knave if and only if Zoey is a knight.", "Assume Jackson is a knave. No contradiction is found in their false claim that Zoey is a knave if and only if Zoey is a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that Jackson is a knight or Zoey is a knight.", "Luke cannot be a knight, because this would contradict the claim of their own that If Luke is a knight then Zoey is a knave.", "Luke cannot be a knave, because this would contradict the false claim of their own that If Luke is a knight then Zoey is a knave.", "We have exhausted all possibilities for Luke, so let us go back and reconsider Zoey.", "Assume Zoey is a knave. No contradiction is found in their false claim that Jackson is a knight or Zoey is a knight.", "Assume Luke is a knight. No contradiction is found in their claim that If Luke is a knight then Zoey is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 2), ('telling-truth', 2)), ('->', ('telling-truth', 1), ('lying', 2)), ('or', ('telling-truth', 0), ('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 3 inhabitants: Mia, Luke, and Emma. Mia stated, \"Emma is a knave\". Luke expressed that Mia is a knight. Emma remarked, \"Luke is a knight and Mia is a knave\". So who is a knight and who is a knave?", "names": ["Mia", "Luke", "Emma"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Mia is a knight, Luke is a knight, and Emma is a knave.", "solution_text_format": "(1) Mia is a knight\n(2) Luke is a knight\n(3) 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 Mia 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 Mia that Emma is a knave.", "Assume Emma 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 knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 2), ('telling-truth', 0), ('and', ('telling-truth', 1), ('lying', 0)))", "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 3 inhabitants: Logan, Owen, and Isabella. Logan remarked, \"Isabella is a knight\". Owen stated, \"Isabella is a knight and Owen is a knight\". In a statement by Isabella: \"Logan is a knave and Logan is a knight\". So who is a knight and who is a knave?", "names": ["Logan", "Owen", "Isabella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false], "solution_text": "Logan is a knave, Owen is a knave, and Isabella is a knave.", "solution_text_format": "(1) Logan is a knave\n(2) Owen is a knave\n(3) 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 Logan 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 Logan is a knave and Logan is a knight.", "Isabella cannot be a knave, because this would contradict the claim of Logan that Isabella is a knight.", "We have exhausted all possibilities for Isabella, so let us go back and reconsider Logan.", "Assume Logan 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 Logan that Isabella is a knight.", "Assume Isabella is a knave. No contradiction is found in their false claim that Logan is a knave and Logan is a knight.", "Owen cannot be a knight, because this would contradict the claim of their own that Isabella is a knight and Owen is a knight.", "Assume Owen is a knave. No contradiction is found in their false claim that Isabella is a knight and Owen is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 2), ('and', ('telling-truth', 2), ('telling-truth', 1)), ('and', ('lying', 0), ('telling-truth', 0)))", "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 3 inhabitants: Mason, William, and Luke. Mason remarked, \"If William is a knight then Luke is a knight\". In a statement by William: \"Luke is a knight if and only if Luke is a knave\". Luke said, \"William is a knave or Mason is a knight.\" So who is a knight and who is a knave?", "names": ["Mason", "William", "Luke"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Mason is a knight, William is a knave, and Luke is a knight.", "solution_text_format": "(1) Mason is a knight\n(2) William is a knave\n(3) 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 Mason is a knight. No contradiction is found in their claim that If William is a knight then Luke is a knight.", "William 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.", "Assume William is a knave. No contradiction is found in their false claim that Luke is a knight if and only if Luke is a knave.", "Assume Luke is a knight. No contradiction is found in their claim that William is a knave or Mason is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 1), ('telling-truth', 2)), ('<=>', ('telling-truth', 2), ('lying', 2)), ('or', ('lying', 1), ('telling-truth', 0)))", "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 3 inhabitants: Emma, Lily, and Michael. Emma was heard saying, \"Michael is a knave\". In Lily's words: \"Lily is a knight or Emma is a knight\". Michael said, \"Emma is a knight or Lily is a knave.\" So who is a knight and who is a knave?", "names": ["Emma", "Lily", "Michael"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Emma is a knave, Lily is a knave, and Michael is a knight.", "solution_text_format": "(1) Emma is a knave\n(2) Lily is a knave\n(3) 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 Emma 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 Emma that Michael is a knave.", "Michael cannot be a knave, because this would contradict the false claim of their own that Emma is a knight or Lily is a knave.", "We have exhausted all possibilities for 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.", "Assume Michael is a knight. No contradiction is found in their claim that Emma is a knight or Lily is a knave.", "Lily cannot be a knight, because this would contradict the claim of Michael that Emma is a knight or Lily is a knave.", "Assume Lily is a knave. No contradiction is found in their false claim that Lily is a knight or Emma is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 2), ('or', ('telling-truth', 1), ('telling-truth', 0)), ('or', ('telling-truth', 0), ('lying', 1)))", "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 3 inhabitants: Matthew, Jack, and Scarlett. Matthew told you that Jack is a knave if and only if Matthew is a knight. Jack said that Matthew is a knave. Scarlett said, \"If Matthew is a knave then Jack is a knave.\" So who is a knight and who is a knave?", "names": ["Matthew", "Jack", "Scarlett"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Matthew is a knight, Jack is a knave, and Scarlett is a knight.", "solution_text_format": "(1) Matthew is a knight\n(2) Jack is a knave\n(3) 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 Matthew is a knight. No contradiction is found in their claim that Jack is a knave if and only if Matthew is a knight.", "Jack cannot be a knight, because this would contradict the claim of Matthew that Jack is a knave if and only if Matthew is a knight.", "Assume Jack is a knave. No contradiction is found in their false claim that Matthew is a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that If Matthew is a knave then Jack is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('telling-truth', 0)), ('lying', 0), ('->', ('lying', 0), ('lying', 1)))", "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 3 inhabitants: Benjamin, Henry, and Oliver. Benjamin told you that Oliver is a knave. Henry said, \"Oliver is a knave or Benjamin is a knight.\" Oliver told you that Oliver is a knight if and only if Benjamin is a knight. So who is a knight and who is a knave?", "names": ["Benjamin", "Henry", "Oliver"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Benjamin is a knight, Henry is a knight, and Oliver is a knave.", "solution_text_format": "(1) Benjamin is a knight\n(2) Henry is a knight\n(3) 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 Benjamin 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 Benjamin that Oliver is a knave.", "Assume Oliver is a knave. No contradiction is found in their false claim that Oliver is a knight if and only if Benjamin is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that Oliver is a knave or Benjamin is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 2), ('or', ('lying', 2), ('telling-truth', 0)), ('<=>', ('telling-truth', 2), ('telling-truth', 0)))", "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 3 inhabitants: Henry, Grace, and Lily. Henry was heard saying, \"Grace is a knave\". Grace stated, \"Lily is a knave and Lily is a knight\". Lily remarked, \"Henry is not a knight\". So who is a knight and who is a knave?", "names": ["Henry", "Grace", "Lily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false], "solution_text": "Henry is a knight, Grace is a knave, and Lily is a knave.", "solution_text_format": "(1) Henry is a knight\n(2) Grace is a knave\n(3) 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 Henry 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 Henry that Grace is a knave.", "Assume Grace is a knave. No contradiction is found in their false claim that Lily is a knave and Lily is a knight.", "Lily cannot be a knight, because this would contradict the claim of their own that Henry is not a knight.", "Assume Lily 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), ('and', ('lying', 2), ('telling-truth', 2)), ('not', ('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 3 inhabitants: Lucas, Daniel, and Benjamin. Lucas asserted: \"Daniel is a knight or Benjamin is a knight\". \"Lucas is a knight,\" Daniel mentioned. Benjamin said that Daniel is a knave. So who is a knight and who is a knave?", "names": ["Lucas", "Daniel", "Benjamin"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Lucas is a knight, Daniel is a knight, and Benjamin is a knave.", "solution_text_format": "(1) Lucas is a knight\n(2) Daniel is a knight\n(3) 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 Daniel is a knight or Benjamin is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that Lucas is a knight.", "Benjamin cannot be a knight, because this would contradict the claim of their own that Daniel is a knave.", "Assume Benjamin 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', ('telling-truth', 1), ('telling-truth', 2)), ('telling-truth', 0), ('lying', 1))", "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 3 inhabitants: Avery, Oliver, and Alexander. \"If Avery is a knight then Oliver is a knight,\" Avery mentioned. Oliver told you that If Avery is a knight then Oliver is a knight. Alexander noted, \"Oliver is a knight if and only if Avery is a knave\". So who is a knight and who is a knave?", "names": ["Avery", "Oliver", "Alexander"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Avery is a knight, Oliver is a knight, and Alexander is a knave.", "solution_text_format": "(1) Avery is a knight\n(2) Oliver is a knight\n(3) 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 If Avery is a knight then Oliver is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that If Avery is a knight then Oliver is a knight.", "Alexander cannot be a knight, because this would contradict the claim of their own that Oliver 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 Oliver is a knight if and only if Avery is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 0), ('telling-truth', 1)), ('->', ('telling-truth', 0), ('telling-truth', 1)), ('<=>', ('telling-truth', 1), ('lying', 0)))", "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 3 inhabitants: Emma, Chloe, and Victoria. \"Victoria is a knight and Chloe is a knave,\" Emma mentioned. Chloe said, \"Victoria is a knight.\" Victoria told you that Chloe is a knave and Emma is a knight. So who is a knight and who is a knave?", "names": ["Emma", "Chloe", "Victoria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false], "solution_text": "Emma is a knave, Chloe is a knave, and Victoria is a knave.", "solution_text_format": "(1) Emma is a knave\n(2) Chloe is a knave\n(3) 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 Emma is a knight. No contradiction is found in their claim that Victoria is a knight and Chloe is a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that Chloe is a knave and Emma is a knight.", "Chloe cannot be a knight, because this would contradict the claim of Emma that Victoria is a knight and Chloe is a knave.", "Chloe 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 Chloe, so let us go back and reconsider Victoria.", "Victoria cannot be a knave, because this would contradict the claim of Emma that Victoria is a knight and Chloe is a knave.", "We have exhausted all possibilities for Victoria, so let us go back and reconsider Emma.", "Assume Emma is a knave. No contradiction is found in their false claim that Victoria is a knight and Chloe is a knave.", "Victoria cannot be a knight, because this would contradict the claim of their own that Chloe is a knave and Emma is a knight.", "Assume Victoria is a knave. No contradiction is found in their false claim that Chloe is a knave and Emma is a knight.", "Chloe cannot be a knight, because this would contradict the claim of their own that Victoria is a knight.", "Assume Chloe 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": "(('and', ('telling-truth', 2), ('lying', 1)), ('telling-truth', 2), ('and', ('lying', 1), ('telling-truth', 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 3 inhabitants: Olivia, Charlotte, and Owen. Olivia told you that If Charlotte is a knave then Owen is a knight. Charlotte commented, \"If Charlotte is a knight then Owen is a knave\". As Owen put it, \"Owen is a knight\". So who is a knight and who is a knave?", "names": ["Olivia", "Charlotte", "Owen"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Olivia is a knight, Charlotte is a knight, and Owen is a knave.", "solution_text_format": "(1) Olivia is a knight\n(2) Charlotte is a knight\n(3) 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 Olivia is a knight. No contradiction is found in their claim that If Charlotte is a knave then Owen is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that If Charlotte is a knight then Owen is a knave.", "Owen cannot be a knight, because this would contradict the claim of Charlotte that If Charlotte is a knight then Owen is a knave.", "Assume Owen 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": "(('->', ('lying', 1), ('telling-truth', 2)), ('->', ('telling-truth', 1), ('lying', 2)), ('telling-truth', 2))", "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 3 inhabitants: Olivia, Victoria, and Joseph. \"Victoria is a knight and Joseph is a knave,\" Olivia mentioned. Victoria remarked, \"Olivia is a knight or Olivia is a knave\". In Joseph's words: \"Olivia is a knave if and only if Joseph is a knight\". So who is a knight and who is a knave?", "names": ["Olivia", "Victoria", "Joseph"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Olivia is a knave, Victoria is a knight, and Joseph is a knight.", "solution_text_format": "(1) Olivia is a knave\n(2) Victoria is a knight\n(3) 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 Olivia is a knight. No contradiction is found in their claim that Victoria is a knight and Joseph is a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that Olivia is a knight or Olivia is a knave.", "Joseph cannot be a knight, because this would contradict the claim of Olivia that Victoria is a knight and Joseph is a knave.", "Joseph cannot be a knave, because this would contradict the false claim of their own that Olivia is a knave if and only if Joseph is a knight.", "We have exhausted all possibilities for Joseph, so let us go back and reconsider Victoria.", "Victoria cannot be a knave, because this would contradict the claim of Olivia that Victoria is a knight and Joseph is a knave.", "We have exhausted all possibilities for Victoria, so let us go back and reconsider Olivia.", "Assume Olivia is a knave. No contradiction is found in their false claim that Victoria is a knight and Joseph is a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that Olivia is a knight or Olivia is a knave.", "Assume Joseph is a knight. No contradiction is found in their claim that Olivia is a knave if and only if Joseph is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('lying', 2)), ('or', ('telling-truth', 0), ('lying', 0)), ('<=>', ('lying', 0), ('telling-truth', 2)))", "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 3 inhabitants: Michael, Samuel, and Liam. Michael expressed that Samuel is a knight or Samuel is a knave. As Samuel put it, \"If Liam is a knave then Michael is a knave\". Liam noted, \"If Samuel is a knight then Michael is a knight\". So who is a knight and who is a knave?", "names": ["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], "solution_text": "Michael is a knight, Samuel is a knight, and Liam is a knight.", "solution_text_format": "(1) Michael is a knight\n(2) Samuel is a knight\n(3) 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 Samuel is a knight or Samuel is a knave.", "Assume Samuel is a knight. No contradiction is found in their claim that If Liam is a knave then Michael is a knave.", "Assume Liam is a knight. No contradiction is found in their claim that If Samuel is a knight then Michael is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 1), ('lying', 1)), ('->', ('lying', 2), ('lying', 0)), ('->', ('telling-truth', 1), ('telling-truth', 0)))", "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 3 inhabitants: Alexander, Aiden, and Charlotte. \"If Aiden is a knight then Aiden is a knave,\" Alexander mentioned. Aiden remarked, \"Charlotte is a knave if and only if Alexander is a knave\". Charlotte said that Alexander is a knave or Aiden is a knight. So who is a knight and who is a knave?", "names": ["Alexander", "Aiden", "Charlotte"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false], "solution_text": "Alexander is a knight, Aiden is a knave, and Charlotte is a knave.", "solution_text_format": "(1) Alexander is a knight\n(2) Aiden is a knave\n(3) 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 Alexander is a knight. No contradiction is found in their claim that If Aiden is a knight then Aiden is a knave.", "Aiden cannot be a knight, because this would contradict the claim of Alexander that If Aiden is a knight then Aiden is a knave.", "Assume Aiden is a knave. No contradiction is found in their false claim that Charlotte is a knave if and only if Alexander is a knave.", "Charlotte cannot be a knight, because this would contradict the false claim of Aiden that Charlotte is a knave if and only if Alexander is a knave.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Alexander is a knave or Aiden is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 1), ('lying', 1)), ('<=>', ('lying', 2), ('lying', 0)), ('or', ('lying', 0), ('telling-truth', 1)))", "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 3 inhabitants: Emma, Noah, and Isabella. Emma stated, \"Isabella is a knight if and only if Emma is a knight\". \"If Isabella is a knave then Isabella is a knight,\" Noah claimed. Isabella remarked, \"Emma is a knave\". So who is a knight and who is a knave?", "names": ["Emma", "Noah", "Isabella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Emma is a knave, Noah is a knight, and Isabella is a knight.", "solution_text_format": "(1) Emma is a knave\n(2) Noah is a knight\n(3) 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 Emma is a knight. No contradiction is found in their claim that Isabella is a knight if and only if Emma is a knight.", "Isabella cannot be a knight, because this would contradict the claim of their own that Emma is a knave.", "Isabella cannot be a knave, because this would contradict the claim of Emma that Isabella is a knight if and only if Emma is a knight.", "We have exhausted all possibilities for Isabella, 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 if and only if Emma is a knight.", "Assume Isabella is a knight. No contradiction is found in their claim that Emma is a knave.", "Assume Noah is a knight. No contradiction is found in their claim that If Isabella is a knave then Isabella is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 2), ('telling-truth', 0)), ('->', ('lying', 2), ('telling-truth', 2)), ('lying', 0))", "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 3 inhabitants: James, Liam, and Henry. James told you that Liam is a knave or Liam is a knight. Liam asserted: \"Liam is a knight\". Henry commented, \"If Henry is a knight then Liam is a knave\". So who is a knight and who is a knave?", "names": ["James", "Liam", "Henry"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "James is a knight, Liam is a knave, and Henry is a knight.", "solution_text_format": "(1) James is a knight\n(2) Liam is a knave\n(3) 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 Liam is a knave or Liam is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that Liam is a knight.", "Henry cannot be a knight, because this would contradict the claim of their own that If Henry is a knight then Liam is a knave.", "Henry cannot be a knave, because this would contradict the false claim of their own that If Henry is a knight then Liam 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 Liam is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that If Henry is a knight then Liam is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('telling-truth', 1)), ('telling-truth', 1), ('->', ('telling-truth', 2), ('lying', 1)))", "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 3 inhabitants: Benjamin, Alexander, and Riley. Benjamin said that Riley is a knight. Alexander stated, \"Benjamin is a knave if and only if Riley is a knight\". Riley was heard saying, \"Riley is a knight or Alexander is a knave\". So who is a knight and who is a knave?", "names": ["Benjamin", "Alexander", "Riley"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Benjamin is a knight, Alexander is a knave, and Riley is a knight.", "solution_text_format": "(1) Benjamin is a knight\n(2) Alexander is a knave\n(3) 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 Benjamin 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 Riley is a knight or Alexander is a knave.", "Alexander cannot be a knight, because this would contradict the claim of their own that Benjamin is a knave if and only if Riley 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 Riley is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 2), ('<=>', ('lying', 0), ('telling-truth', 2)), ('or', ('telling-truth', 2), ('lying', 1)))", "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 3 inhabitants: Mason, Sophia, and Michael. Mason remarked, \"Michael is a knave if and only if Michael is a knight\". \"Mason is a knight and Michael is a knight,\" Sophia claimed. \"Sophia is a knave or Mason is a knave\" - Michael. So who is a knight and who is a knave?", "names": ["Mason", "Sophia", "Michael"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Mason is a knave, Sophia is a knave, and Michael is a knight.", "solution_text_format": "(1) Mason is a knave\n(2) Sophia is a knave\n(3) 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": ["Mason 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 Mason 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 Sophia is a knave or Mason is a knave.", "Sophia cannot be a knight, because this would contradict the claim of their own that Mason is a knight and Michael is a knight.", "Assume Sophia is a knave. No contradiction is found in their false claim that Mason is a knight and Michael is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 2), ('telling-truth', 2)), ('and', ('telling-truth', 0), ('telling-truth', 2)), ('or', ('lying', 1), ('lying', 0)))", "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 3 inhabitants: Sophia, Alexander, and Jacob. According to Sophia, \"Alexander is not a knave\". In Alexander's words: \"Jacob is a knave or Jacob is a knight\". Jacob commented, \"If Sophia is a knight then Sophia is a knave\". So who is a knight and who is a knave?", "names": ["Sophia", "Alexander", "Jacob"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Sophia is a knight, Alexander is a knight, and Jacob is a knave.", "solution_text_format": "(1) Sophia is a knight\n(2) Alexander is a knight\n(3) 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 Sophia 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 Jacob is a knave or Jacob is a knight.", "Jacob 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 Jacob is a knave. No contradiction is found in their false claim that If Sophia is a knight then Sophia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 1)), ('or', ('lying', 2), ('telling-truth', 2)), ('->', ('telling-truth', 0), ('lying', 0)))", "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 3 inhabitants: Olivia, Amelia, and David. \"David is a knave,\" Olivia claimed. \"David is a knave if and only if Olivia is a knight,\" Amelia declared. According to David, \"Amelia is a knave and Olivia is a knave\". So who is a knight and who is a knave?", "names": ["Olivia", "Amelia", "David"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Olivia is a knight, Amelia is a knight, and David is a knave.", "solution_text_format": "(1) Olivia is a knight\n(2) Amelia is a knight\n(3) 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 Olivia 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 Olivia that David is a knave.", "Assume David is a knave. No contradiction is found in their false claim that Amelia is a knave and Olivia is a knave.", "Assume Amelia is a knight. No contradiction is found in their claim that David is a knave if and only if Olivia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 2), ('<=>', ('lying', 2), ('telling-truth', 0)), ('and', ('lying', 1), ('lying', 0)))", "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 3 inhabitants: Sophia, Oliver, and William. As Sophia put it, \"Oliver is a knave if and only if William is a knave\". Oliver expressed that Sophia is a knight. As William put it, \"Sophia is a knight and Oliver is a knight\". So who is a knight and who is a knave?", "names": ["Sophia", "Oliver", "William"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Sophia is a knight, Oliver is a knight, and William is a knight.", "solution_text_format": "(1) Sophia is a knight\n(2) Oliver is a knight\n(3) 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 Sophia is a knight. No contradiction is found in their claim that Oliver is a knave if and only if William is a knave.", "Assume Oliver is a knight. No contradiction is found in their claim that Sophia is a knight.", "Assume William is a knight. No contradiction is found in their claim that Sophia is a knight and Oliver is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('lying', 2)), ('telling-truth', 0), ('and', ('telling-truth', 0), ('telling-truth', 1)))", "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 3 inhabitants: Zoey, Owen, and Daniel. Zoey said, \"If Daniel is a knight then Owen is a knight.\" Owen remarked, \"If Daniel is a knight then Owen is a knight\". Daniel was heard saying, \"Zoey is a knight\". So who is a knight and who is a knave?", "names": ["Zoey", "Owen", "Daniel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Zoey is a knight, Owen is a knight, and Daniel is a knight.", "solution_text_format": "(1) Zoey is a knight\n(2) Owen is a knight\n(3) 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 Zoey is a knight. No contradiction is found in their claim that If Daniel is a knight then Owen is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that Zoey is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that If Daniel is a knight then Owen is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 2), ('telling-truth', 1)), ('->', ('telling-truth', 2), ('telling-truth', 1)), ('telling-truth', 0))", "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 3 inhabitants: Logan, Zoey, and Emma. Logan commented, \"Zoey is not a knight\". Zoey stated, \"Zoey is a knight and Emma is a knight\". Emma stated, \"Logan is a knight and Logan is a knave\". So who is a knight and who is a knave?", "names": ["Logan", "Zoey", "Emma"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false], "solution_text": "Logan is a knight, Zoey is a knave, and Emma is a knave.", "solution_text_format": "(1) Logan is a knight\n(2) Zoey is a knave\n(3) 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 Logan 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 Logan that Zoey is not a knight.", "Assume Zoey is a knave. No contradiction is found in their false claim that Zoey is a knight and Emma is a knight.", "Emma cannot be a knight, because this would contradict the claim of their own that Logan is a knight and Logan is a knave.", "Assume Emma is a knave. No contradiction is found in their false claim that Logan is a knight and Logan is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('and', ('telling-truth', 1), ('telling-truth', 2)), ('and', ('telling-truth', 0), ('lying', 0)))", "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 3 inhabitants: Grace, Lucas, and Jacob. As Grace put it, \"Lucas is a knight\". \"Jacob is a knight,\" Lucas mentioned. \"Grace is a knave if and only if Grace is a knight\" - Jacob. So who is a knight and who is a knave?", "names": ["Grace", "Lucas", "Jacob"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false], "solution_text": "Grace is a knave, Lucas is a knave, and Jacob is a knave.", "solution_text_format": "(1) Grace is a knave\n(2) Lucas is a knave\n(3) 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 Lucas is a knight.", "Assume Lucas 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 Grace is a knave if and only if Grace is a knight.", "Jacob cannot be a knave, because this would contradict the claim of Lucas that Jacob is a knight.", "We have exhausted all possibilities for Jacob, so let us go back and reconsider Lucas.", "Lucas cannot be a knave, because this would contradict the claim of Grace that Lucas is a knight.", "We have exhausted all possibilities for Lucas, so let us go back and reconsider Grace.", "Assume Grace 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 Grace that Lucas is a knight.", "Assume Lucas 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 Lucas that Jacob is a knight.", "Assume Jacob is a knave. No contradiction is found in their false claim that Grace is a knave if and only if Grace is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 1), ('telling-truth', 2), ('<=>', ('lying', 0), ('telling-truth', 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 3 inhabitants: Luke, Abigail, and Oliver. Luke expressed that Abigail is a knave or Oliver is a knave. According to Abigail, \"Luke is a knave if and only if Abigail is a knight\". As Oliver put it, \"If Abigail is a knave then Luke is a knight\". So who is a knight and who is a knave?", "names": ["Luke", "Abigail", "Oliver"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Luke is a knave, Abigail is a knight, and Oliver is a knight.", "solution_text_format": "(1) Luke is a knave\n(2) Abigail is a knight\n(3) 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 Luke is a knight. No contradiction is found in their claim that Abigail is a knave or Oliver is a knave.", "Abigail cannot be a knight, because this would contradict the claim of their own that Luke 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 Luke is a knave if and only if 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 knave or Oliver is a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that Luke is a knave if and only if Abigail is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that If Abigail is a knave then Luke is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('lying', 2)), ('<=>', ('lying', 0), ('telling-truth', 1)), ('->', ('lying', 1), ('telling-truth', 0)))", "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 3 inhabitants: Liam, Benjamin, and Riley. In a statement by Liam: \"Benjamin is not a knave\". Benjamin asserted: \"Liam is a knave or Riley is a knave\". \"Benjamin is a knight and Liam is a knave,\" Riley mentioned. So who is a knight and who is a knave?", "names": ["Liam", "Benjamin", "Riley"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Liam is a knight, Benjamin is a knight, and Riley is a knave.", "solution_text_format": "(1) Liam is a knight\n(2) Benjamin is a knight\n(3) 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 Liam 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 Liam is a knave or Riley is a knave.", "Riley cannot be a knight, because this would contradict the claim of Benjamin that Liam is a knave or Riley is a knave.", "Assume Riley is a knave. No contradiction is found in their false claim that Benjamin is a knight and Liam is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 1)), ('or', ('lying', 0), ('lying', 2)), ('and', ('telling-truth', 1), ('lying', 0)))", "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 3 inhabitants: Elizabeth, Mason, and Scarlett. According to Elizabeth, \"Mason is a knight and Scarlett is a knave\". Mason asserted: \"If Elizabeth is a knave then Elizabeth is a knight\". \"Elizabeth is a knight or Elizabeth is a knave,\" Scarlett mentioned. So who is a knight and who is a knave?", "names": ["Elizabeth", "Mason", "Scarlett"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Elizabeth is a knave, Mason is a knave, and Scarlett is a knight.", "solution_text_format": "(1) Elizabeth is a knave\n(2) Mason is a knave\n(3) 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 Elizabeth is a knight. No contradiction is found in their claim that Mason is a knight and Scarlett is a knave.", "Assume Mason is a knight. No contradiction is found in their claim that If Elizabeth is a knave then Elizabeth is a knight.", "Scarlett cannot be a knight, because this would contradict the claim of Elizabeth that Mason is a knight and Scarlett is a knave.", "Scarlett cannot be a knave, because this would contradict the false claim of their own that Elizabeth is a knight or Elizabeth is a knave.", "We have exhausted all possibilities for Scarlett, so let us go back and reconsider Mason.", "Mason cannot be a knave, because this would contradict the claim of Elizabeth that Mason is a knight and Scarlett is a knave.", "We have exhausted all possibilities for Mason, so let us go back and reconsider Elizabeth.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Mason is a knight and Scarlett is a knave.", "Mason cannot be a knight, because this would contradict the claim of their own that If Elizabeth is a knave then Elizabeth is a knight.", "Assume Mason is a knave. No contradiction is found in their false claim that If Elizabeth is a knave then Elizabeth is a knight.", "Assume Scarlett 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": "(('and', ('telling-truth', 1), ('lying', 2)), ('->', ('lying', 0), ('telling-truth', 0)), ('or', ('telling-truth', 0), ('lying', 0)))", "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 3 inhabitants: Abigail, Victoria, and Sebastian. \"Victoria is not a knight,\" Abigail claimed. Victoria noted, \"Abigail is a knave if and only if Sebastian is a knight\". According to Sebastian, \"Victoria is not a knight\". So who is a knight and who is a knave?", "names": ["Abigail", "Victoria", "Sebastian"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Abigail is a knight, Victoria is a knave, and Sebastian is a knight.", "solution_text_format": "(1) Abigail is a knight\n(2) Victoria is a knave\n(3) 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 Victoria is not a knight.", "Victoria cannot be a knight, because this would contradict the claim of Abigail that Victoria is not a knight.", "Assume Victoria is a knave. No contradiction is found in their false claim that Abigail is a knave if and only if Sebastian is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Victoria is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('<=>', ('lying', 0), ('telling-truth', 2)), ('not', ('telling-truth', 1)))", "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 3 inhabitants: Oliver, Evelyn, and Riley. According to Oliver, \"If Riley is a knight then Evelyn is a knave\". Evelyn was heard saying, \"Oliver is a knight\". Riley commented, \"Evelyn is a knight if and only if Evelyn is a knave\". So who is a knight and who is a knave?", "names": ["Oliver", "Evelyn", "Riley"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Oliver is a knight, Evelyn is a knight, and Riley is a knave.", "solution_text_format": "(1) Oliver is a knight\n(2) Evelyn is a knight\n(3) 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 Oliver is a knight. No contradiction is found in their claim that If Riley is a knight then Evelyn is a knave.", "Riley 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 Riley 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 Oliver is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 2), ('lying', 1)), ('telling-truth', 0), ('<=>', ('telling-truth', 1), ('lying', 1)))", "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 3 inhabitants: Liam, Henry, and Avery. In Liam's words: \"If Henry is a knight then Liam is a knight\". Henry told you that Liam is a knight or Avery is a knave. In a statement by Avery: \"If Avery is a knight then Liam is a knight\". So who is a knight and who is a knave?", "names": ["Liam", "Henry", "Avery"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Liam is a knight, Henry is a knight, and Avery is a knight.", "solution_text_format": "(1) Liam is a knight\n(2) Henry is a knight\n(3) 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 Liam is a knight. No contradiction is found in their claim that If Henry is a knight then Liam is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that Liam is a knight or Avery is a knave.", "Assume Avery is a knight. No contradiction is found in their claim that If Avery is a knight then Liam is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 1), ('telling-truth', 0)), ('or', ('telling-truth', 0), ('lying', 2)), ('->', ('telling-truth', 2), ('telling-truth', 0)))", "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 3 inhabitants: Jack, Michael, and Ella. As Jack put it, \"If Ella is a knight then Jack is a knight\". Michael was heard saying, \"Jack is not a knight\". Ella said that Jack is a knight or Michael is a knave. So who is a knight and who is a knave?", "names": ["Jack", "Michael", "Ella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Jack is a knight, Michael is a knave, and Ella is a knight.", "solution_text_format": "(1) Jack is a knight\n(2) Michael is a knave\n(3) 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 If Ella is a knight then Jack is a knight.", "Assume Ella is a knight. No contradiction is found in their claim that Jack is a knight or Michael is a knave.", "Michael cannot be a knight, because this would contradict the claim of their own that Jack is not a knight.", "Assume Michael is a knave. No contradiction is found in their false claim that Jack is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 2), ('telling-truth', 0)), ('not', ('telling-truth', 0)), ('or', ('telling-truth', 0), ('lying', 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 3 inhabitants: Benjamin, Jacob, and Lucas. As Benjamin put it, \"Jacob is a knave if and only if Benjamin is a knight\". Jacob noted, \"Benjamin is a knight and Lucas is a knave\". \"Jacob is a knight and Jacob is a knave\" - Lucas. So who is a knight and who is a knave?", "names": ["Benjamin", "Jacob", "Lucas"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false], "solution_text": "Benjamin is a knave, Jacob is a knave, and Lucas is a knave.", "solution_text_format": "(1) Benjamin is a knave\n(2) Jacob is a knave\n(3) 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 Benjamin is a knight. No contradiction is found in their claim that Jacob is a knave if and only if Benjamin is a knight.", "Jacob cannot be a knight, because this would contradict the claim of Benjamin that Jacob is a knave if and only if Benjamin is a knight.", "Assume Jacob is a knave. No contradiction is found in their false claim that Benjamin is a knight and Lucas is a knave.", "Lucas cannot be a knight, because this would contradict the claim of their own that Jacob is a knight and Jacob is a knave.", "Lucas cannot be a knave, because this would contradict the false claim of Jacob that Benjamin is a knight and Lucas is a knave.", "We have exhausted all possibilities for Lucas and 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 knave if and only if Benjamin is a knight.", "Jacob cannot be a knight, because this would contradict the false claim of Benjamin that Jacob is a knave if and only if Benjamin is a knight.", "Assume Jacob is a knave. No contradiction is found in their false claim that Benjamin is a knight and Lucas is a knave.", "Lucas cannot be a knight, because this would contradict the claim of their own that Jacob is a knight and Jacob is a knave.", "Assume Lucas is a knave. No contradiction is found in their false claim that Jacob is a knight and Jacob is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('telling-truth', 0)), ('and', ('telling-truth', 0), ('lying', 2)), ('and', ('telling-truth', 1), ('lying', 1)))", "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 3 inhabitants: Liam, Matthew, and James. Liam noted, \"Liam is a knight\". Matthew was heard saying, \"Liam is a knave or James is a knight\". \"If Matthew is a knight then Liam is a knave,\" James claimed. So who is a knight and who is a knave?", "names": ["Liam", "Matthew", "James"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Liam is a knave, Matthew is a knight, and James is a knight.", "solution_text_format": "(1) Liam is a knave\n(2) Matthew is a knight\n(3) 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 Liam is a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that Liam is a knave or James is a knight.", "James cannot be a knight, because this would contradict the claim of their own that If Matthew is a knight then Liam is a knave.", "James cannot be a knave, because this would contradict the claim of Matthew that Liam is a knave or James is a knight.", "We have exhausted all possibilities for James, so let us go back and reconsider Matthew.", "Assume Matthew is a knave. No contradiction is found in their false claim that Liam is a knave or James is a knight.", "James cannot be a knight, because this would contradict the false claim of Matthew that Liam is a knave or James is a knight.", "James cannot be a knave, because this would contradict the false claim of their own that If Matthew is a knight then Liam is a knave.", "We have exhausted all possibilities for James and Matthew, 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.", "Assume Matthew is a knight. No contradiction is found in their claim that Liam is a knave or James is a knight.", "Assume James is a knight. No contradiction is found in their claim that If Matthew is a knight then Liam is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 0), ('or', ('lying', 0), ('telling-truth', 2)), ('->', ('telling-truth', 1), ('lying', 0)))", "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 3 inhabitants: Emma, Chloe, and Ethan. \"If Chloe is a knave then Ethan is a knight,\" Emma declared. \"Emma is a knight or Ethan is a knight,\" Chloe declared. \"Chloe is a knave or Chloe is a knight,\" Ethan claimed. So who is a knight and who is a knave?", "names": ["Emma", "Chloe", "Ethan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Emma is a knight, Chloe is a knight, and Ethan is a knight.", "solution_text_format": "(1) Emma is a knight\n(2) Chloe is a knight\n(3) 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 Emma is a knight. No contradiction is found in their claim that If Chloe is a knave then Ethan is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that Emma is a knight or Ethan is a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that Chloe is a knave or Chloe is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 1), ('telling-truth', 2)), ('or', ('telling-truth', 0), ('telling-truth', 2)), ('or', ('lying', 1), ('telling-truth', 1)))", "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 3 inhabitants: Penelope, Daniel, and Benjamin. Penelope said that Penelope is a knight. \"Penelope is a knight,\" Daniel claimed. According to Benjamin, \"If Benjamin is a knight then Daniel is a knave\". So who is a knight and who is a knave?", "names": ["Penelope", "Daniel", "Benjamin"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Penelope is a knave, Daniel is a knave, and Benjamin is a knight.", "solution_text_format": "(1) Penelope is a knave\n(2) Daniel is a knave\n(3) 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 Penelope is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that Penelope is a knight.", "Benjamin cannot be a knight, because this would contradict the claim of their own that If Benjamin is a knight then Daniel is a knave.", "Benjamin cannot be a knave, because this would contradict the false claim of their own that If Benjamin is a knight then Daniel is a knave.", "We have exhausted all possibilities for Benjamin, so let us go back and reconsider Daniel.", "Daniel 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 Daniel, so let us go back and reconsider Penelope.", "Assume Penelope is a knave. No contradiction is found in their false claim that Penelope is a knight.", "Daniel cannot be a knight, because this would contradict the claim of their own that Penelope is a knight.", "Assume Daniel is a knave. No contradiction is found in their false claim that Penelope is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that If Benjamin is a knight then Daniel is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 0), ('telling-truth', 0), ('->', ('telling-truth', 2), ('lying', 1)))", "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 3 inhabitants: Olivia, Samuel, and Ava. \"Ava is a knight,\" Olivia mentioned. In Samuel's words: \"Samuel is a knight and Ava is a knight\". Ava stated, \"Samuel is a knight and Samuel is a knave\". So who is a knight and who is a knave?", "names": ["Olivia", "Samuel", "Ava"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false], "solution_text": "Olivia is a knave, Samuel is a knave, and Ava is a knave.", "solution_text_format": "(1) Olivia is a knave\n(2) Samuel is a knave\n(3) 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 Olivia is a knight. No contradiction is found in their claim that Ava is a knight.", "Ava cannot be a knight, because this would contradict the claim of their own that Samuel is a knight and Samuel is a knave.", "Ava cannot be a knave, because this would contradict the claim of Olivia that Ava is a knight.", "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.", "Ava cannot be a knight, because this would contradict the false claim of Olivia that Ava is a knight.", "Assume Ava is a knave. No contradiction is found in their false claim that Samuel is a knight and Samuel is a knave.", "Samuel cannot be a knight, because this would contradict the claim of their own that Samuel is a knight and Ava is a knight.", "Assume Samuel is a knave. No contradiction is found in their false claim that Samuel is a knight and Ava is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 2), ('and', ('telling-truth', 1), ('telling-truth', 2)), ('and', ('telling-truth', 1), ('lying', 1)))", "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 3 inhabitants: Zoey, Aria, and Benjamin. \"Benjamin is not a knave,\" Zoey declared. Aria noted, \"Zoey is a knave\". Benjamin noted, \"Aria is a knight if and only if Zoey is a knave\". So who is a knight and who is a knave?", "names": ["Zoey", "Aria", "Benjamin"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Zoey is a knight, Aria is a knave, and Benjamin is a knight.", "solution_text_format": "(1) Zoey is a knight\n(2) Aria is a knave\n(3) 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 Benjamin is not a knave.", "Assume Benjamin is a knight. No contradiction is found in their claim that Aria is a knight if and only if Zoey is a knave.", "Aria cannot be a knight, because this would contradict the claim of their own that Zoey is a knave.", "Assume Aria 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": "(('not', ('lying', 2)), ('lying', 0), ('<=>', ('telling-truth', 1), ('lying', 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 3 inhabitants: Matthew, Logan, and Joseph. \"Logan is a knave,\" Matthew mentioned. According to Logan, \"Joseph is a knight\". In a statement by Joseph: \"Logan is a knave and Joseph is a knight\". So who is a knight and who is a knave?", "names": ["Matthew", "Logan", "Joseph"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false], "solution_text": "Matthew is a knight, Logan is a knave, and Joseph is a knave.", "solution_text_format": "(1) Matthew is a knight\n(2) Logan is a knave\n(3) 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 Matthew 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 Matthew that Logan is a knave.", "Assume Logan 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 Logan that Joseph is a knight.", "Assume Joseph is a knave. No contradiction is found in their false claim that Logan is a knave and Joseph is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('telling-truth', 2), ('and', ('lying', 1), ('telling-truth', 2)))", "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 3 inhabitants: Ava, Joseph, and Jackson. Ava said, \"Jackson is a knight if and only if Ava is a knight.\" Joseph asserted: \"Jackson is a knave or Ava is a knave\". In a statement by Jackson: \"Joseph is a knave and Ava is a knight\". So who is a knight and who is a knave?", "names": ["Ava", "Joseph", "Jackson"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Ava is a knight, Joseph is a knave, and Jackson is a knight.", "solution_text_format": "(1) Ava is a knight\n(2) Joseph is a knave\n(3) 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 Jackson is a knight if and only if Ava is a knight.", "Assume Jackson 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 Jackson is a knave or Ava is a knave.", "Assume Joseph is a knave. No contradiction is found in their false claim that Jackson is a knave or Ava is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 2), ('telling-truth', 0)), ('or', ('lying', 2), ('lying', 0)), ('and', ('lying', 1), ('telling-truth', 0)))", "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 3 inhabitants: Penelope, Abigail, and Zoey. \"Zoey is a knave if and only if Abigail is a knave,\" Penelope mentioned. Abigail asserted: \"Zoey is a knave if and only if Zoey is a knight\". \"Abigail is a knave if and only if Abigail is a knight,\" Zoey mentioned. So who is a knight and who is a knave?", "names": ["Penelope", "Abigail", "Zoey"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false], "solution_text": "Penelope is a knight, Abigail is a knave, and Zoey is a knave.", "solution_text_format": "(1) Penelope is a knight\n(2) Abigail is a knave\n(3) 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 Zoey is a knave if and only if Abigail is a knave.", "Zoey 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 Zoey is a knave. No contradiction is found in their false claim that Abigail is a knave if and only if Abigail is a knight.", "Abigail cannot be a knight, because this would contradict the claim of Penelope that Zoey is a knave if and only if Abigail is a knave.", "Assume Abigail is a knave. No contradiction is found in their false claim that Zoey is a knave if and only if Zoey is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 2), ('lying', 1)), ('<=>', ('lying', 2), ('telling-truth', 2)), ('<=>', ('lying', 1), ('telling-truth', 1)))", "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 3 inhabitants: Owen, Avery, and Henry. Owen commented, \"Avery is a knight\". In a statement by Avery: \"Henry is a knave if and only if Avery is a knight\". Henry said that If Owen is a knight then Owen is a knave. So who is a knight and who is a knave?", "names": ["Owen", "Avery", "Henry"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Owen is a knight, Avery is a knight, and Henry is a knave.", "solution_text_format": "(1) Owen is a knight\n(2) Avery is a knight\n(3) 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 Owen 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 Henry is a knave if and only if Avery is a knight.", "Henry cannot be a knight, because this would contradict the claim of Avery that Henry is a knave if and only if Avery is a knight.", "Assume Henry is a knave. No contradiction is found in their false claim that If Owen is a knight then Owen is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 1), ('<=>', ('lying', 2), ('telling-truth', 1)), ('->', ('telling-truth', 0), ('lying', 0)))", "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 3 inhabitants: Scarlett, Michael, and Samuel. Scarlett remarked, \"If Michael is a knave then Scarlett is a knight\". \"If Samuel is a knave then Scarlett is a knave,\" Michael mentioned. \"Samuel is a knight if and only if Michael is a knave,\" Samuel mentioned. So who is a knight and who is a knave?", "names": ["Scarlett", "Michael", "Samuel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false], "solution_text": "Scarlett is a knight, Michael is a knave, and Samuel is a knave.", "solution_text_format": "(1) Scarlett is a knight\n(2) Michael is a knave\n(3) 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 Scarlett is a knight. No contradiction is found in their claim that If Michael is a knave then Scarlett is a knight.", "Assume Michael is a knight. No contradiction is found in their claim that If Samuel is a knave then Scarlett is a knave.", "Samuel cannot be a knight, because this would contradict the claim of their own that Samuel is a knight if and only if Michael is a knave.", "Samuel cannot be a knave, because this would contradict the claim of Michael that If Samuel is a knave then Scarlett is a knave.", "We have exhausted all possibilities for Samuel, so let us go back and reconsider Michael.", "Assume Michael is a knave. No contradiction is found in their false claim that If Samuel is a knave then Scarlett is a knave.", "Samuel cannot be a knight, because this would contradict the false claim of Michael that If Samuel is a knave then Scarlett is a knave.", "Assume Samuel is a knave. No contradiction is found in their false claim that Samuel is a knight if and only if Michael is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 1), ('telling-truth', 0)), ('->', ('lying', 2), ('lying', 0)), ('<=>', ('telling-truth', 2), ('lying', 1)))", "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 3 inhabitants: Lucas, Liam, and Henry. Lucas said, \"Liam is not a knight.\" Liam noted, \"Henry is a knight\". Henry commented, \"Liam is a knave if and only if Lucas is a knight\". So who is a knight and who is a knave?", "names": ["Lucas", "Liam", "Henry"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Lucas is a knave, Liam is a knight, and Henry is a knight.", "solution_text_format": "(1) Lucas is a knave\n(2) Liam is a knight\n(3) 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 Lucas 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 Lucas that Liam is not a knight.", "Assume Liam 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 Liam that Henry is a knight.", "Henry cannot be a knave, because this would contradict the false claim of their own that Liam is a knave if and only if Lucas is a knight.", "We have exhausted all possibilities for Henry and Liam, so let us go back and reconsider Lucas.", "Assume Lucas is a knave. No contradiction is found in their false claim that Liam is not a knight.", "Assume Liam 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 Liam is a knave if and only if Lucas is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('telling-truth', 2), ('<=>', ('lying', 1), ('telling-truth', 0)))", "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 3 inhabitants: Emma, Avery, and Liam. Emma was heard saying, \"Emma is a knight if and only if Avery is a knave\". Avery asserted: \"Emma is a knight if and only if Liam is a knave\". Liam noted, \"If Avery is a knight then Liam is a knight\". So who is a knight and who is a knave?", "names": ["Emma", "Avery", "Liam"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Emma is a knight, Avery is a knave, and Liam is a knight.", "solution_text_format": "(1) Emma is a knight\n(2) Avery is a knave\n(3) 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 Emma is a knight. No contradiction is found in their claim that Emma is a knight if and only if Avery is a knave.", "Avery cannot be a knight, because this would contradict the claim of Emma that Emma 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 Emma is a knight if and only if Liam is a knave.", "Assume Liam is a knight. No contradiction is found in their claim that If Avery is a knight then Liam is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 0), ('lying', 1)), ('<=>', ('telling-truth', 0), ('lying', 2)), ('->', ('telling-truth', 1), ('telling-truth', 2)))", "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 3 inhabitants: Matthew, Logan, and Scarlett. \"Scarlett is a knave,\" Matthew declared. Logan said, \"Matthew is a knave if and only if Scarlett is a knight.\" \"Logan is a knight if and only if Logan is a knave\" - Scarlett. So who is a knight and who is a knave?", "names": ["Matthew", "Logan", "Scarlett"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Matthew is a knight, Logan is a knight, and Scarlett is a knave.", "solution_text_format": "(1) Matthew is a knight\n(2) Logan is a knight\n(3) 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 Scarlett is a knave.", "Scarlett cannot be a knight, because this would contradict the claim of Matthew that Scarlett is a knave.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Logan is a knight if and only if Logan is a knave.", "Assume Logan is a knight. No contradiction is found in their claim that Matthew is a knave if and only if Scarlett is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 2), ('<=>', ('lying', 0), ('telling-truth', 2)), ('<=>', ('telling-truth', 1), ('lying', 1)))", "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 3 inhabitants: Luke, Olivia, and William. As Luke put it, \"Luke is a knight if and only if William is a knight\". Olivia told you that William is a knave. William commented, \"If Luke is a knave then Olivia is a knight\". So who is a knight and who is a knave?", "names": ["Luke", "Olivia", "William"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Luke is a knight, Olivia is a knave, and William is a knight.", "solution_text_format": "(1) Luke is a knight\n(2) Olivia is a knave\n(3) 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 Luke is a knight. No contradiction is found in their claim that Luke is a knight if and only if William is a knight.", "Assume William is a knight. No contradiction is found in their claim that If Luke is a knave then Olivia is a knight.", "Olivia cannot be a knight, because this would contradict the claim of their own that William is a knave.", "Assume Olivia 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', 0), ('telling-truth', 2)), ('lying', 2), ('->', ('lying', 0), ('telling-truth', 1)))", "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 3 inhabitants: Emma, Mia, and Olivia. In Emma's words: \"Olivia is a knight or Emma is a knight\". Mia expressed that Emma is a knight or Olivia is a knight. As Olivia put it, \"Emma is a knave or Mia is a knight\". So who is a knight and who is a knave?", "names": ["Emma", "Mia", "Olivia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Emma is a knight, Mia is a knight, and Olivia is a knight.", "solution_text_format": "(1) Emma is a knight\n(2) Mia is a knight\n(3) 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 Emma is a knight. No contradiction is found in their claim that Olivia is a knight or Emma is a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that Emma is a knave or Mia is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that Emma is a knight or Olivia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 2), ('telling-truth', 0)), ('or', ('telling-truth', 0), ('telling-truth', 2)), ('or', ('lying', 0), ('telling-truth', 1)))", "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 3 inhabitants: Sebastian, Mia, and William. \"William is a knave if and only if William is a knight,\" Sebastian claimed. Mia asserted: \"Sebastian is a knave and Sebastian is a knight\". William noted, \"If Sebastian is a knight then William is a knight\". So who is a knight and who is a knave?", "names": ["Sebastian", "Mia", "William"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Sebastian is a knave, Mia is a knave, and William is a knight.", "solution_text_format": "(1) Sebastian is a knave\n(2) Mia is a knave\n(3) 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": ["Sebastian cannot be a knight, because this would contradict the claim of their own that William 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 William is a knave if and only if William is a knight.", "Assume William is a knight. No contradiction is found in their claim that If Sebastian is a knight then William is a knight.", "Mia cannot be a knight, because this would contradict the claim of their own that Sebastian is a knave and Sebastian is a knight.", "Assume Mia 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": "(('<=>', ('lying', 2), ('telling-truth', 2)), ('and', ('lying', 0), ('telling-truth', 0)), ('->', ('telling-truth', 0), ('telling-truth', 2)))", "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 3 inhabitants: Samuel, Daniel, and Olivia. Samuel said that Samuel is a knight and Olivia is a knight. \"Samuel is a knight or Samuel is a knave,\" Daniel mentioned. According to Olivia, \"Daniel is not a knight\". So who is a knight and who is a knave?", "names": ["Samuel", "Daniel", "Olivia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Samuel is a knave, Daniel is a knight, and Olivia is a knave.", "solution_text_format": "(1) Samuel is a knave\n(2) Daniel is a knight\n(3) 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 Samuel is a knight. No contradiction is found in their claim that Samuel is a knight and Olivia is a knight.", "Assume Olivia 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 Olivia that Daniel is not a knight.", "Daniel 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 Daniel, so let us go back and reconsider Olivia.", "Olivia cannot be a knave, because this would contradict the claim of Samuel that Samuel is a knight and Olivia is a knight.", "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 Samuel is a knight and Olivia is a knight.", "Assume Olivia 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 Olivia that Daniel is not a knight.", "Daniel 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 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 not a knight.", "Assume Daniel 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": "(('and', ('telling-truth', 0), ('telling-truth', 2)), ('or', ('telling-truth', 0), ('lying', 0)), ('not', ('telling-truth', 1)))", "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 3 inhabitants: Grace, Lucas, and Joseph. Grace asserted: \"Joseph is a knight\". Lucas said, \"Grace is a knight.\" Joseph expressed that Grace is a knight if and only if Lucas is a knight. So who is a knight and who is a knave?", "names": ["Grace", "Lucas", "Joseph"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Grace is a knight, Lucas is a knight, and Joseph is a knight.", "solution_text_format": "(1) Grace is a knight\n(2) Lucas is a knight\n(3) 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 Grace 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 Grace is a knight if and only if Lucas is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that Grace is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 2), ('telling-truth', 0), ('<=>', ('telling-truth', 0), ('telling-truth', 1)))", "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 3 inhabitants: Alexander, Jacob, and Aria. Alexander said that Aria is not a knave. \"Aria is not a knave,\" Jacob claimed. \"Jacob is a knave if and only if Jacob is a knight\" - Aria. So who is a knight and who is a knave?", "names": ["Alexander", "Jacob", "Aria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false], "solution_text": "Alexander is a knave, Jacob is a knave, and Aria is a knave.", "solution_text_format": "(1) Alexander is a knave\n(2) Jacob is a knave\n(3) 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 Alexander 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 Jacob is a knave if and only if Jacob is a knight.", "Aria cannot be a knave, because this would contradict the claim of Alexander that Aria is not a knave.", "We have exhausted all possibilities for Aria, so let us go back and reconsider Alexander.", "Assume Alexander 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 Alexander that Aria is not a knave.", "Assume Aria is a knave. No contradiction is found in their false claim that Jacob is a knave if and only if Jacob is a knight.", "Jacob cannot be a knight, because this would contradict the claim of their own that Aria is not a knave.", "Assume Jacob is a knave. No contradiction is found in their false claim that Aria is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 2)), ('not', ('lying', 2)), ('<=>', ('lying', 1), ('telling-truth', 1)))", "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 3 inhabitants: Luke, Grace, and William. \"William is a knave and William is a knight\" - Luke. Grace asserted: \"Luke is a knight\". William noted, \"Luke is not a knight\". So who is a knight and who is a knave?", "names": ["Luke", "Grace", "William"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Luke is a knave, Grace is a knave, and William is a knight.", "solution_text_format": "(1) Luke is a knave\n(2) Grace is a knave\n(3) 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": ["Luke cannot be a knight, because this would contradict the claim of their own that William is a knave and William is a knight.", "Assume Luke is a knave. No contradiction is found in their false claim that William is a knave and William is a knight.", "Assume William is a knight. No contradiction is found in their claim that Luke is not a knight.", "Grace cannot be a knight, because this would contradict the claim of their own that Luke is a knight.", "Assume Grace 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": "(('and', ('lying', 2), ('telling-truth', 2)), ('telling-truth', 0), ('not', ('telling-truth', 0)))", "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 3 inhabitants: Charlotte, Daniel, and Zoey. Charlotte stated, \"Zoey is a knight or Zoey is a knave\". \"If Charlotte is a knave then Zoey is a knave,\" Daniel declared. Zoey noted, \"Charlotte is not a knight\". So who is a knight and who is a knave?", "names": ["Charlotte", "Daniel", "Zoey"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Charlotte is a knight, Daniel is a knight, and Zoey is a knave.", "solution_text_format": "(1) Charlotte is a knight\n(2) Daniel is a knight\n(3) 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 Charlotte is a knight. No contradiction is found in their claim that Zoey is a knight or Zoey is a knave.", "Zoey cannot be a knight, because this would contradict the claim of their own that Charlotte is not a knight.", "Assume Zoey is a knave. No contradiction is found in their false claim that Charlotte is not a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that If Charlotte is a knave then Zoey is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 2), ('lying', 2)), ('->', ('lying', 0), ('lying', 2)), ('not', ('telling-truth', 0)))", "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 3 inhabitants: Ella, Aurora, and Harper. According to Ella, \"Harper is a knave if and only if Aurora is a knight\". Aurora commented, \"Harper is not a knave\". Harper remarked, \"Ella is a knave if and only if Ella is a knight\". So who is a knight and who is a knave?", "names": ["Ella", "Aurora", "Harper"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false], "solution_text": "Ella is a knave, Aurora is a knave, and Harper is a knave.", "solution_text_format": "(1) Ella is a knave\n(2) Aurora is a knave\n(3) 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 Ella is a knight. No contradiction is found in their claim that Harper is a knave if and only if Aurora is a knight.", "Harper cannot be a knight, because this would contradict the claim of their own that Ella is a knave if and only if Ella 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 Ella 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 claim of Ella that Harper is a knave if and only if Aurora is a knight.", "We have exhausted all possibilities for Aurora and 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 knave if and only if Aurora is a knight.", "Harper cannot be a knight, because this would contradict the claim of their own that Ella is a knave if and only if Ella 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 Ella is a knight.", "Aurora cannot be a knight, because this would contradict the false claim of Ella that Harper 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 Harper is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 2), ('telling-truth', 1)), ('not', ('lying', 2)), ('<=>', ('lying', 0), ('telling-truth', 0)))", "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 3 inhabitants: Chloe, Scarlett, and Charlotte. As Chloe put it, \"If Scarlett is a knight then Scarlett is a knave\". Scarlett commented, \"Scarlett is a knight or Charlotte is a knave\". Charlotte said that Chloe is a knave and Chloe is a knight. So who is a knight and who is a knave?", "names": ["Chloe", "Scarlett", "Charlotte"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Chloe is a knave, Scarlett is a knight, and Charlotte is a knave.", "solution_text_format": "(1) Chloe is a knave\n(2) Scarlett is a knight\n(3) 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 Chloe 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 Chloe 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 Scarlett is a knight or Charlotte is a knave.", "Charlotte cannot be a knight, because this would contradict the claim of their own that Chloe is a knave and Chloe is a knight.", "Charlotte cannot be a knave, because this would contradict the false claim of Scarlett that Scarlett is a knight or Charlotte is a knave.", "We have exhausted all possibilities for Charlotte and Scarlett, so let us go back and reconsider Chloe.", "Assume Chloe is a knave. No contradiction is found in their false claim that If Scarlett is a knight then Scarlett is a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that Scarlett is a knight or Charlotte is a knave.", "Charlotte cannot be a knight, because this would contradict the claim of their own that Chloe is a knave and Chloe is a knight.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Chloe is a knave and Chloe is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 1), ('lying', 1)), ('or', ('telling-truth', 1), ('lying', 2)), ('and', ('lying', 0), ('telling-truth', 0)))", "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 3 inhabitants: Liam, Grace, and Charlotte. Liam commented, \"If Grace is a knave then Charlotte is a knave\". \"Grace is a knight and Charlotte is a knave,\" Grace declared. Charlotte told you that If Grace is a knight then Liam is a knight. So who is a knight and who is a knave?", "names": ["Liam", "Grace", "Charlotte"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Liam is a knave, Grace is a knave, and Charlotte is a knight.", "solution_text_format": "(1) Liam is a knave\n(2) Grace is a knave\n(3) 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 Liam is a knight. No contradiction is found in their claim that If Grace is a knave then Charlotte is a knave.", "Assume Grace is a knight. No contradiction is found in their claim that Grace is a knight and Charlotte is a knave.", "Charlotte cannot be a knight, because this would contradict the claim of Grace that Grace is a knight and Charlotte is a knave.", "Charlotte 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 Charlotte, so let us go back and reconsider Grace.", "Assume Grace is a knave. No contradiction is found in their false claim that Grace is a knight and Charlotte is a knave.", "Charlotte cannot be a knight, because this would contradict the claim of Liam that If Grace is a knave then Charlotte is a knave.", "Charlotte 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 Charlotte and Grace, so let us go back and reconsider Liam.", "Assume Liam is a knave. No contradiction is found in their false claim that If Grace is a knave then Charlotte is a knave.", "Grace cannot be a knight, because this would contradict the false claim of Liam that If Grace is a knave then Charlotte is a knave.", "Assume Grace is a knave. No contradiction is found in their false claim that Grace is a knight and Charlotte is a knave.", "Assume Charlotte 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": "(('->', ('lying', 1), ('lying', 2)), ('and', ('telling-truth', 1), ('lying', 2)), ('->', ('telling-truth', 1), ('telling-truth', 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 3 inhabitants: Olivia, Evelyn, and Emma. Olivia said that Emma is a knave or Evelyn is a knave. \"Emma is not a knight\" - Evelyn. According to Emma, \"If Olivia is a knight then Olivia is a knave\". So who is a knight and who is a knave?", "names": ["Olivia", "Evelyn", "Emma"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Olivia is a knight, Evelyn is a knight, and Emma is a knave.", "solution_text_format": "(1) Olivia is a knight\n(2) Evelyn is a knight\n(3) 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 Olivia is a knight. No contradiction is found in their claim that Emma is a knave or Evelyn is a knave.", "Emma cannot be a knight, because this would contradict the claim of their own that If Olivia is a knight then Olivia is a knave.", "Assume Emma is a knave. No contradiction is found in their false claim that If Olivia is a knight then Olivia is a knave.", "Assume Evelyn is a knight. No contradiction is found in their claim that Emma is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 2), ('lying', 1)), ('not', ('telling-truth', 2)), ('->', ('telling-truth', 0), ('lying', 0)))", "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 3 inhabitants: Harper, Daniel, and Sophia. Harper commented, \"If Daniel is a knight then Sophia is a knave\". In Daniel's words: \"Sophia is a knight\". Sophia asserted: \"If Sophia is a knight then Daniel is a knight\". So who is a knight and who is a knave?", "names": ["Harper", "Daniel", "Sophia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Harper is a knave, Daniel is a knight, and Sophia is a knight.", "solution_text_format": "(1) Harper is a knave\n(2) Daniel is a knight\n(3) 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 If Daniel is a knight then Sophia is a knave.", "Assume Daniel 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 Harper that If Daniel is a knight then Sophia is a knave.", "Sophia cannot be a knave, because this would contradict the claim of Daniel that Sophia is a knight.", "We have exhausted all possibilities for Sophia, so let us go back and reconsider Daniel.", "Assume Daniel 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 false claim of Daniel that Sophia is a knight.", "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 and Daniel, so let us go back and reconsider Harper.", "Assume Harper is a knave. No contradiction is found in their false claim that If Daniel is a knight then Sophia is a knave.", "Assume Daniel 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 Sophia is a knight then Daniel is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 1), ('lying', 2)), ('telling-truth', 2), ('->', ('telling-truth', 2), ('telling-truth', 1)))", "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 3 inhabitants: Charlotte, Victoria, and Liam. Charlotte was heard saying, \"Liam is a knight if and only if Charlotte is a knight\". Victoria said that Charlotte is a knight. In a statement by Liam: \"If Charlotte is a knave then Charlotte is a knight\". So who is a knight and who is a knave?", "names": ["Charlotte", "Victoria", "Liam"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Charlotte is a knight, Victoria is a knight, and Liam is a knight.", "solution_text_format": "(1) Charlotte is a knight\n(2) Victoria is a knight\n(3) 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 Charlotte is a knight. No contradiction is found in their claim that Liam is a knight if and only if Charlotte is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that If Charlotte is a knave then Charlotte is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that Charlotte is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 2), ('telling-truth', 0)), ('telling-truth', 0), ('->', ('lying', 0), ('telling-truth', 0)))", "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 3 inhabitants: Olivia, Henry, and Aiden. Olivia said, \"If Olivia is a knight then Aiden is a knave.\" Henry remarked, \"If Aiden is a knight then Olivia is a knave\". Aiden asserted: \"Henry is a knave and Aiden is a knight\". So who is a knight and who is a knave?", "names": ["Olivia", "Henry", "Aiden"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Olivia is a knight, Henry is a knight, and Aiden is a knave.", "solution_text_format": "(1) Olivia is a knight\n(2) Henry is a knight\n(3) 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 Olivia is a knight. No contradiction is found in their claim that If Olivia is a knight then Aiden is a knave.", "Aiden cannot be a knight, because this would contradict the claim of Olivia that If Olivia is a knight then Aiden is a knave.", "Assume Aiden is a knave. No contradiction is found in their false claim that Henry is a knave and Aiden is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that If Aiden is a knight then Olivia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 0), ('lying', 2)), ('->', ('telling-truth', 2), ('lying', 0)), ('and', ('lying', 1), ('telling-truth', 2)))", "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 3 inhabitants: Chloe, Aria, and Abigail. Chloe said, \"Aria is a knight if and only if Abigail is a knave.\" According to Aria, \"If Abigail is a knave then Abigail is a knight\". Abigail asserted: \"Aria is a knight if and only if Aria is a knave\". So who is a knight and who is a knave?", "names": ["Chloe", "Aria", "Abigail"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false], "solution_text": "Chloe is a knave, Aria is a knave, and Abigail is a knave.", "solution_text_format": "(1) Chloe is a knave\n(2) Aria is a knave\n(3) 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 Chloe is a knight. No contradiction is found in their claim that Aria is a knight if and only if Abigail is a knave.", "Assume Aria is a knight. No contradiction is found in their claim that If Abigail is a knave then Abigail is a knight.", "Abigail cannot be a knight, because this would contradict the claim of Chloe that Aria is a knight if and only if Abigail is a knave.", "Abigail cannot be a knave, because this would contradict the claim of Aria that If Abigail is a knave then Abigail is a knight.", "We have exhausted all possibilities for Abigail, so let us go back and reconsider Aria.", "Assume Aria is a knave. No contradiction is found in their false claim that If Abigail is a knave then Abigail is a knight.", "Abigail cannot be a knight, because this would contradict the false claim of Aria that If Abigail is a knave then Abigail is a knight.", "Abigail cannot be a knave, because this would contradict the claim of Chloe that Aria is a knight if and only if Abigail is a knave.", "We have exhausted all possibilities for Abigail and 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 if and only if Abigail is a knave.", "Assume Aria is a knight. No contradiction is found in their claim that If Abigail is a knave then Abigail is a knight.", "Abigail cannot be a knight, because this would contradict the claim of their own that Aria is a knight if and only if Aria is a knave.", "Abigail cannot be a knave, because this would contradict the false claim of Chloe that Aria 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 Aria.", "Assume Aria is a knave. No contradiction is found in their false claim that If Abigail is a knave then Abigail is a knight.", "Abigail cannot be a knight, because this would contradict the false claim of Chloe that Aria 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 Aria is a knight if and only if Aria is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('lying', 2)), ('->', ('lying', 2), ('telling-truth', 2)), ('<=>', ('telling-truth', 1), ('lying', 1)))", "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 3 inhabitants: Sophia, Olivia, and Elizabeth. Sophia noted, \"Olivia is a knave and Elizabeth is a knight\". As Olivia put it, \"If Sophia is a knave then Olivia is a knight\". Elizabeth commented, \"Sophia is a knight or Olivia is a knave\". So who is a knight and who is a knave?", "names": ["Sophia", "Olivia", "Elizabeth"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Sophia is a knave, Olivia is a knight, and Elizabeth is a knave.", "solution_text_format": "(1) Sophia is a knave\n(2) Olivia is a knight\n(3) 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 Sophia is a knight. No contradiction is found in their claim that Olivia is a knave and Elizabeth is a knight.", "Olivia cannot be a knight, because this would contradict the claim of Sophia that Olivia is a knave and Elizabeth is a knight.", "Olivia cannot be a knave, because this would contradict the false claim of their own that If Sophia is a knave then Olivia is a knight.", "We have exhausted all possibilities for Olivia, so let us go back and reconsider Sophia.", "Assume Sophia is a knave. No contradiction is found in their false claim that Olivia is a knave and Elizabeth is a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that If Sophia is a knave then Olivia is a knight.", "Elizabeth cannot be a knight, because this would contradict the claim of their own that Sophia is a knight or Olivia is a knave.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Sophia is a knight or Olivia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('telling-truth', 2)), ('->', ('lying', 0), ('telling-truth', 1)), ('or', ('telling-truth', 0), ('lying', 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 3 inhabitants: James, Lucas, and Grace. In James's words: \"Grace is a knight or Lucas is a knave\". Lucas asserted: \"James is a knight and James is a knave\". Grace remarked, \"James is not a knave\". So who is a knight and who is a knave?", "names": ["James", "Lucas", "Grace"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "James is a knight, Lucas is a knave, and Grace is a knight.", "solution_text_format": "(1) James is a knight\n(2) Lucas is a knave\n(3) 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 Grace is a knight or Lucas is a knave.", "Assume Grace is a knight. No contradiction is found in their claim that James is not a knave.", "Lucas cannot be a knight, because this would contradict the claim of their own that James is a knight and James is a knave.", "Assume Lucas is a knave. No contradiction is found in their false claim that James is a knight and James is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 2), ('lying', 1)), ('and', ('telling-truth', 0), ('lying', 0)), ('not', ('lying', 0)))", "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 3 inhabitants: Ethan, Matthew, and Sebastian. In Ethan's words: \"Sebastian is not a knave\". \"Ethan is a knave,\" Matthew mentioned. Sebastian was heard saying, \"Ethan is a knave and Matthew is a knave\". So who is a knight and who is a knave?", "names": ["Ethan", "Matthew", "Sebastian"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Ethan is a knave, Matthew is a knight, and Sebastian is a knave.", "solution_text_format": "(1) Ethan is a knave\n(2) Matthew is a knight\n(3) 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 Ethan 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 Ethan is a knave and Matthew is a knave.", "Sebastian cannot be a knave, because this would contradict the claim of Ethan that Sebastian is not a knave.", "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 not a knave.", "Sebastian cannot be a knight, because this would contradict the false claim of Ethan that Sebastian is not a knave.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Ethan is a knave and Matthew is a knave.", "Assume Matthew is a knight. No contradiction is found in their claim that Ethan is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 2)), ('lying', 0), ('and', ('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 3 inhabitants: Liam, Sophia, and Aurora. \"Sophia is not a knave\" - Liam. As Sophia put it, \"Aurora is a knave and Aurora is a knight\". Aurora told you that Sophia is a knight if and only if Sophia is a knave. So who is a knight and who is a knave?", "names": ["Liam", "Sophia", "Aurora"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false], "solution_text": "Liam is a knave, Sophia is a knave, and Aurora is a knave.", "solution_text_format": "(1) Liam is a knave\n(2) Sophia is a knave\n(3) 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 Liam 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 Aurora is a knave and Aurora is a knight.", "Sophia cannot be a knave, because this would contradict the claim of Liam that Sophia is not a knave.", "We have exhausted all possibilities for 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 not a knave.", "Sophia cannot be a knight, because this would contradict the false claim of Liam that Sophia is not a knave.", "Assume Sophia is a knave. No contradiction is found in their false claim that Aurora is a knave and Aurora is a knight.", "Aurora cannot be a knight, because this would contradict the claim of their own that Sophia is a knight if and only if Sophia is a knave.", "Assume Aurora is a knave. No contradiction is found in their false claim that Sophia is a knight if and only if Sophia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 1)), ('and', ('lying', 2), ('telling-truth', 2)), ('<=>', ('telling-truth', 1), ('lying', 1)))", "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 3 inhabitants: Liam, Zoey, and Ethan. \"Ethan is a knight and Zoey is a knave,\" Liam declared. Zoey asserted: \"Liam is not a knave\". As Ethan put it, \"Ethan is a knight and Zoey is a knight\". So who is a knight and who is a knave?", "names": ["Liam", "Zoey", "Ethan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false], "solution_text": "Liam is a knave, Zoey is a knave, and Ethan is a knave.", "solution_text_format": "(1) Liam is a knave\n(2) Zoey is a knave\n(3) 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 Liam is a knight. No contradiction is found in their claim that Ethan is a knight and Zoey is a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that Ethan is a knight and Zoey is a knight.", "Zoey cannot be a knight, because this would contradict the claim of Liam that Ethan is a knight and Zoey is a knave.", "Zoey cannot be a knave, because this would contradict the false claim of their own that Liam is not 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 Liam that Ethan is a knight and Zoey is a knave.", "We have exhausted all possibilities for Ethan, so let us go back and reconsider Liam.", "Assume Liam is a knave. No contradiction is found in their false claim that Ethan is a knight and Zoey is a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that Ethan is a knight and Zoey is a knight.", "Zoey cannot be a knight, because this would contradict the claim of their own that Liam is not a knave.", "Zoey cannot be a knave, because this would contradict the false claim of Liam that Ethan is a knight and Zoey is a knave.", "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 Ethan is a knight and Zoey is a knight.", "Zoey cannot be a knight, because this would contradict the claim of their own that Liam is not a knave.", "Assume Zoey 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', ('telling-truth', 2), ('lying', 1)), ('not', ('lying', 0)), ('and', ('telling-truth', 2), ('telling-truth', 1)))", "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 3 inhabitants: David, Ethan, and Emily. In David's words: \"Ethan is a knave if and only if Ethan is a knight\". \"Emily is a knave if and only if Emily is a knight,\" Ethan mentioned. According to Emily, \"Ethan is a knight\". So who is a knight and who is a knave?", "names": ["David", "Ethan", "Emily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false], "solution_text": "David is a knave, Ethan is a knave, and Emily is a knave.", "solution_text_format": "(1) David is a knave\n(2) Ethan is a knave\n(3) 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": ["David cannot be a knight, because this would contradict the claim of their own that Ethan is a knave if and only if Ethan is a knight.", "Assume David is a knave. No contradiction is found in their false claim that Ethan is a knave if and only if Ethan is a knight.", "Ethan 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 Ethan 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 Ethan is a knight.", "Assume Emily is a knave. No contradiction is found in their false claim that Ethan is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('telling-truth', 1)), ('<=>', ('lying', 2), ('telling-truth', 2)), ('telling-truth', 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 3 inhabitants: Luke, Scarlett, and Benjamin. Luke noted, \"Scarlett is a knight or Scarlett is a knave\". \"Luke is a knight if and only if Luke is a knave,\" Scarlett claimed. Benjamin asserted: \"Scarlett is a knave if and only if Scarlett is a knight\". So who is a knight and who is a knave?", "names": ["Luke", "Scarlett", "Benjamin"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false], "solution_text": "Luke is a knight, Scarlett is a knave, and Benjamin is a knave.", "solution_text_format": "(1) Luke is a knight\n(2) Scarlett is a knave\n(3) 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 Scarlett is a knight or Scarlett is a knave.", "Scarlett 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.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Luke is a knight if and only if Luke is a knave.", "Benjamin cannot be a knight, because this would contradict the claim of their own that Scarlett is a knave if and only if Scarlett is a knight.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Scarlett is a knave if and only if Scarlett is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 1), ('lying', 1)), ('<=>', ('telling-truth', 0), ('lying', 0)), ('<=>', ('lying', 1), ('telling-truth', 1)))", "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 3 inhabitants: Joseph, Ava, and Jack. Joseph asserted: \"Ava is a knight or Jack is a knave\". \"Jack is a knight or Jack is a knave,\" Ava claimed. Jack stated, \"Ava is a knight and Joseph is a knight\". So who is a knight and who is a knave?", "names": ["Joseph", "Ava", "Jack"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Joseph is a knight, Ava is a knight, and Jack is a knight.", "solution_text_format": "(1) Joseph is a knight\n(2) Ava is a knight\n(3) 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 Ava is a knight or Jack is a knave.", "Assume Ava 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 Ava is a knight and Joseph is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 1), ('lying', 2)), ('or', ('telling-truth', 2), ('lying', 2)), ('and', ('telling-truth', 1), ('telling-truth', 0)))", "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 3 inhabitants: Lucas, Evelyn, and Joseph. In Lucas's words: \"If Evelyn is a knight then Evelyn is a knave\". In a statement by Evelyn: \"Lucas is a knight and Lucas is a knave\". \"Lucas is a knight and Evelyn is a knight,\" Joseph declared. So who is a knight and who is a knave?", "names": ["Lucas", "Evelyn", "Joseph"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false], "solution_text": "Lucas is a knight, Evelyn is a knave, and Joseph is a knave.", "solution_text_format": "(1) Lucas is a knight\n(2) Evelyn is a knave\n(3) 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 Lucas is a knight. No contradiction is found in their claim that If Evelyn is a knight then Evelyn is a knave.", "Evelyn cannot be a knight, because this would contradict the claim of Lucas that If Evelyn is a knight then Evelyn is a knave.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Lucas is a knight and Lucas is a knave.", "Joseph cannot be a knight, because this would contradict the claim of their own that Lucas is a knight and Evelyn is a knight.", "Assume Joseph is a knave. No contradiction is found in their false claim that Lucas is a knight and Evelyn is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 1), ('lying', 1)), ('and', ('telling-truth', 0), ('lying', 0)), ('and', ('telling-truth', 0), ('telling-truth', 1)))", "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 3 inhabitants: Avery, Riley, and Jack. \"Riley is a knight and Jack is a knight\" - Avery. As Riley put it, \"Avery is not a knight\". \"Jack is a knight and Riley is a knight\" - Jack. So who is a knight and who is a knave?", "names": ["Avery", "Riley", "Jack"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Avery is a knave, Riley is a knight, and Jack is a knave.", "solution_text_format": "(1) Avery is a knave\n(2) Riley is a knight\n(3) 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 Avery is a knight. No contradiction is found in their claim that Riley is a knight and Jack is a knight.", "Riley cannot be a knight, because this would contradict the claim of their own that Avery is not a knight.", "Riley cannot be a knave, because this would contradict the claim of Avery that Riley is a knight and Jack is a knight.", "We have exhausted all possibilities for Riley, so let us go back and reconsider Avery.", "Assume Avery is a knave. No contradiction is found in their false claim that Riley is a knight and Jack is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that Avery is not a knight.", "Jack cannot be a knight, because this would contradict the false claim of Avery that Riley is a knight and Jack is a knight.", "Assume Jack is a knave. No contradiction is found in their false claim that Jack is a knight and Riley is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('telling-truth', 2)), ('not', ('telling-truth', 0)), ('and', ('telling-truth', 2), ('telling-truth', 1)))", "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 3 inhabitants: James, Samuel, and Mason. As James put it, \"Mason is not a knight\". In a statement by Samuel: \"If James is a knave then James is a knight\". According to Mason, \"Samuel is a knight if and only if Samuel is a knave\". So who is a knight and who is a knave?", "names": ["James", "Samuel", "Mason"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "James is a knight, Samuel is a knight, and Mason is a knave.", "solution_text_format": "(1) James is a knight\n(2) Samuel is a knight\n(3) 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 knight.", "Mason cannot be a knight, because this would contradict the claim of James that Mason is not a knight.", "Assume Mason 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 James is a knave then James is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 2)), ('->', ('lying', 0), ('telling-truth', 0)), ('<=>', ('telling-truth', 1), ('lying', 1)))", "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 3 inhabitants: Avery, Owen, and Sofia. Avery was heard saying, \"If Sofia is a knight then Sofia is a knave\". Owen was heard saying, \"Sofia is a knave\". Sofia told you that Avery is a knave if and only if Owen is a knave. So who is a knight and who is a knave?", "names": ["Avery", "Owen", "Sofia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Avery is a knave, Owen is a knave, and Sofia is a knight.", "solution_text_format": "(1) Avery is a knave\n(2) Owen is a knave\n(3) 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 Sofia is a knight then Sofia is a knave.", "Sofia cannot be a knight, because this would contradict the claim of Avery that If Sofia is a knight then Sofia is a knave.", "Assume Sofia is a knave. No contradiction is found in their false claim that Avery is a knave if and only if Owen is a knave.", "Owen cannot be a knight, because this would contradict the false claim of Sofia that Avery is a knave if and only if Owen is a knave.", "Owen 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 Owen 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 Sofia is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that Avery is a knave if and only if Owen is a knave.", "Owen cannot be a knight, because this would contradict the claim of their own that Sofia is a knave.", "Assume Owen 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": "(('->', ('telling-truth', 2), ('lying', 2)), ('lying', 2), ('<=>', ('lying', 0), ('lying', 1)))", "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 3 inhabitants: Avery, Samuel, and Olivia. Avery remarked, \"Olivia is a knave\". Samuel expressed that Avery is a knight and Samuel is a knight. Olivia said, \"If Olivia is a knight then Samuel is a knave.\" So who is a knight and who is a knave?", "names": ["Avery", "Samuel", "Olivia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Avery is a knave, Samuel is a knave, and Olivia is a knight.", "solution_text_format": "(1) Avery is a knave\n(2) Samuel is a knave\n(3) 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 Avery 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 Avery that Olivia 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 Samuel is a knave.", "We have exhausted all possibilities for Olivia, so let us go back and reconsider Avery.", "Assume Avery 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 If Olivia is a knight then Samuel is a knave.", "Samuel cannot be a knight, because this would contradict the claim of their own that Avery is a knight and Samuel is a knight.", "Assume Samuel is a knave. No contradiction is found in their false claim that Avery is a knight and Samuel is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 2), ('and', ('telling-truth', 0), ('telling-truth', 1)), ('->', ('telling-truth', 2), ('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 3 inhabitants: Noah, Riley, and Elizabeth. In a statement by Noah: \"Elizabeth is a knight and Riley is a knight\". Riley stated, \"Noah is a knight and Elizabeth is a knave\". In a statement by Elizabeth: \"Riley is a knight if and only if Noah is a knight\". So who is a knight and who is a knave?", "names": ["Noah", "Riley", "Elizabeth"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Noah is a knave, Riley is a knave, and Elizabeth is a knight.", "solution_text_format": "(1) Noah is a knave\n(2) Riley is a knave\n(3) 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 Noah is a knight. No contradiction is found in their claim that Elizabeth is a knight and Riley is a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Riley is a knight if and only if Noah is a knight.", "Riley cannot be a knight, because this would contradict the claim of their own that Noah is a knight and Elizabeth is a knave.", "Riley cannot be a knave, because this would contradict the claim of Noah that Elizabeth is a knight and Riley is a knight.", "We have exhausted all possibilities for Riley, so let us go back and reconsider Elizabeth.", "Elizabeth cannot be a knave, because this would contradict the claim of Noah that Elizabeth is a knight and Riley is a knight.", "We have exhausted all possibilities for Elizabeth, so let us go back and reconsider Noah.", "Assume Noah is a knave. No contradiction is found in their false claim that Elizabeth is a knight and Riley is a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Riley is a knight if and only if Noah is a knight.", "Riley cannot be a knight, because this would contradict the false claim of Noah that Elizabeth is a knight and Riley is a knight.", "Assume Riley is a knave. No contradiction is found in their false claim that Noah is a knight and Elizabeth is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 2), ('telling-truth', 1)), ('and', ('telling-truth', 0), ('lying', 2)), ('<=>', ('telling-truth', 1), ('telling-truth', 0)))", "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 3 inhabitants: Matthew, Jackson, and Isabella. Matthew commented, \"Jackson is a knave if and only if Isabella is a knave\". In a statement by Jackson: \"If Matthew is a knight then Isabella is a knave\". Isabella told you that Isabella is a knight or Jackson is a knave. So who is a knight and who is a knave?", "names": ["Matthew", "Jackson", "Isabella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Matthew is a knave, Jackson is a knight, and Isabella is a knave.", "solution_text_format": "(1) Matthew is a knave\n(2) Jackson is a knight\n(3) 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 Matthew is a knight. No contradiction is found in their claim that Jackson is a knave if and only if Isabella is a knave.", "Assume Jackson is a knight. No contradiction is found in their claim that If Matthew is a knight then Isabella is a knave.", "Isabella cannot be a knight, because this would contradict the claim of Jackson that If Matthew is a knight then Isabella is a knave.", "Isabella cannot be a knave, because this would contradict the claim of Matthew that Jackson 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 Jackson.", "Assume Jackson is a knave. No contradiction is found in their false claim that If Matthew is a knight then Isabella is a knave.", "Isabella cannot be a knight, because this would contradict the claim of Matthew that Jackson is a knave if and only if Isabella is a knave.", "Isabella cannot be a knave, because this would contradict the false claim of Jackson that If Matthew is a knight then Isabella is a knave.", "We have exhausted all possibilities for Isabella and 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 knave if and only if Isabella is a knave.", "Assume Jackson is a knight. No contradiction is found in their claim that If Matthew is a knight then Isabella is a knave.", "Isabella cannot be a knight, because this would contradict the false claim of Matthew that Jackson 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 Isabella is a knight or Jackson is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('lying', 2)), ('->', ('telling-truth', 0), ('lying', 2)), ('or', ('telling-truth', 2), ('lying', 1)))", "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 3 inhabitants: Henry, Sophia, and Avery. Henry asserted: \"Sophia is a knave if and only if Sophia is a knight\". Sophia commented, \"Avery is not a knave\". Avery said, \"Henry is a knight and Henry is a knave.\" So who is a knight and who is a knave?", "names": ["Henry", "Sophia", "Avery"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false], "solution_text": "Henry is a knave, Sophia is a knave, and Avery is a knave.", "solution_text_format": "(1) Henry is a knave\n(2) Sophia is a knave\n(3) 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": ["Henry 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.", "Assume Henry 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 Avery is not a knave.", "Avery cannot be a knight, because this would contradict the claim of their own that Henry is a knight and Henry is a knave.", "Avery cannot be a knave, because this would contradict the claim of Sophia that Avery is not a knave.", "We have exhausted all possibilities for Avery, so let us go back and reconsider Sophia.", "Assume Sophia 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 Sophia that Avery is not a knave.", "Assume Avery is a knave. No contradiction is found in their false claim that Henry is a knight and Henry is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('telling-truth', 1)), ('not', ('lying', 2)), ('and', ('telling-truth', 0), ('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 3 inhabitants: Owen, Charlotte, and Luke. As Owen put it, \"Charlotte is a knave and Luke is a knave\". Charlotte noted, \"Owen is a knight or Owen is a knave\". As Luke put it, \"Owen is a knight\". So who is a knight and who is a knave?", "names": ["Owen", "Charlotte", "Luke"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Owen is a knave, Charlotte is a knight, and Luke is a knave.", "solution_text_format": "(1) Owen is a knave\n(2) Charlotte is a knight\n(3) 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 Charlotte is a knave and Luke is a knave.", "Charlotte cannot be a knight, because this would contradict the claim of Owen that Charlotte is a knave and Luke is a knave.", "Charlotte cannot be a knave, because this would contradict the false claim of their own that Owen is a knight or Owen is a knave.", "We have exhausted all possibilities for Charlotte, so let us go back and reconsider Owen.", "Assume Owen is a knave. No contradiction is found in their false claim that Charlotte is a knave and Luke is a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that Owen is a knight or Owen is a knave.", "Luke cannot be a knight, because this would contradict the claim of their own that Owen is a knight.", "Assume Luke 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": "(('and', ('lying', 1), ('lying', 2)), ('or', ('telling-truth', 0), ('lying', 0)), ('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 3 inhabitants: Evelyn, Owen, and Victoria. \"Owen is a knight if and only if Owen is a knave,\" Evelyn mentioned. Owen told you that Owen is a knight and Evelyn is a knight. \"Owen is a knave and Owen is a knight,\" Victoria declared. So who is a knight and who is a knave?", "names": ["Evelyn", "Owen", "Victoria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false], "solution_text": "Evelyn is a knave, Owen is a knave, and Victoria is a knave.", "solution_text_format": "(1) Evelyn is a knave\n(2) Owen is a knave\n(3) 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": ["Evelyn 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.", "Assume Evelyn 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 Owen is a knight and Evelyn is a knight.", "Assume Owen is a knave. No contradiction is found in their false claim that Owen is a knight and Evelyn is a knight.", "Victoria cannot be a knight, because this would contradict the claim of their own that Owen is a knave and Owen is a knight.", "Assume Victoria is a knave. No contradiction is found in their false claim that Owen is a knave and Owen is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('lying', 1)), ('and', ('telling-truth', 1), ('telling-truth', 0)), ('and', ('lying', 1), ('telling-truth', 1)))", "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 3 inhabitants: James, Jack, and Charlotte. \"James is a knight if and only if Charlotte is a knave,\" James mentioned. \"James is a knave or Jack is a knight\" - Jack. Charlotte remarked, \"If Jack is a knight then James is a knave\". So who is a knight and who is a knave?", "names": ["James", "Jack", "Charlotte"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "James is a knight, Jack is a knight, and Charlotte is a knave.", "solution_text_format": "(1) James is a knight\n(2) Jack is a knight\n(3) 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 James is a knight. No contradiction is found in their claim that James is a knight if and only if Charlotte is a knave.", "Charlotte cannot be a knight, because this would contradict the claim of James that James 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 If Jack is a knight then James is a knave.", "Assume Jack is a knight. No contradiction is found in their claim that James is a knave or Jack is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 0), ('lying', 2)), ('or', ('lying', 0), ('telling-truth', 1)), ('->', ('telling-truth', 1), ('lying', 0)))", "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 3 inhabitants: Mia, Jackson, and Isabella. In Mia's words: \"Isabella is a knave if and only if Isabella is a knight\". Jackson expressed that Mia is a knave. \"Jackson is not a knight\" - Isabella. So who is a knight and who is a knave?", "names": ["Mia", "Jackson", "Isabella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Mia is a knave, Jackson is a knight, and Isabella is a knave.", "solution_text_format": "(1) Mia is a knave\n(2) Jackson is a knight\n(3) 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": ["Mia 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 Mia 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 Jackson is not a knight.", "Jackson cannot be a knight, because this would contradict the claim of Isabella that Jackson is not a knight.", "Jackson cannot be a knave, because this would contradict the false claim of their own that Mia 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 Jackson is not a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that Mia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 2), ('telling-truth', 2)), ('lying', 0), ('not', ('telling-truth', 1)))", "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 3 inhabitants: Ava, Emma, and Joseph. Ava expressed that Emma is a knight if and only if Joseph is a knave. Emma stated, \"If Emma is a knight then Ava is a knave\". In Joseph's words: \"Emma is a knight or Joseph is a knight\". So who is a knight and who is a knave?", "names": ["Ava", "Emma", "Joseph"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Ava is a knave, Emma is a knight, and Joseph is a knight.", "solution_text_format": "(1) Ava is a knave\n(2) Emma is a knight\n(3) 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 Emma is a knight if and only if Joseph is a knave.", "Emma cannot be a knight, because this would contradict the claim of their own that If Emma is a knight then Ava 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 Ava is 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 a knight if and only if Joseph is a knave.", "Assume Emma is a knight. No contradiction is found in their claim that If Emma is a knight then Ava is a knave.", "Assume Joseph is a knight. No contradiction is found in their claim that Emma is a knight or Joseph is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('lying', 2)), ('->', ('telling-truth', 1), ('lying', 0)), ('or', ('telling-truth', 1), ('telling-truth', 2)))", "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 3 inhabitants: Ava, Abigail, and Lily. Ava asserted: \"Lily is a knight\". \"Ava is a knight,\" Abigail declared. Lily said, \"Abigail is a knave if and only if Lily is a knight.\" So who is a knight and who is a knave?", "names": ["Ava", "Abigail", "Lily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false], "solution_text": "Ava is a knave, Abigail is a knave, and Lily is a knave.", "solution_text_format": "(1) Ava is a knave\n(2) Abigail is a knave\n(3) 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 Ava 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 a knave if and only if Lily is a knight.", "Abigail cannot be a knight, because this would contradict the claim of Lily that Abigail is a knave if and only if Lily is a knight.", "Abigail cannot be a knave, because this would contradict the false claim of their own that Ava is a knight.", "We have exhausted all possibilities for Abigail, so let us go back and reconsider Lily.", "Lily cannot be a knave, because this would contradict the claim of Ava that Lily is a knight.", "We have exhausted all possibilities for Lily, so let us go back and reconsider Ava.", "Assume Ava 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 Ava that Lily is a knight.", "Assume Lily is a knave. No contradiction is found in their false claim that Abigail is a knave if and only if Lily is a knight.", "Abigail cannot be a knight, because this would contradict the claim of their own that Ava is a knight.", "Assume Abigail is a knave. No contradiction is found in their false claim that Ava is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 2), ('telling-truth', 0), ('<=>', ('lying', 1), ('telling-truth', 2)))", "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 3 inhabitants: William, Jack, and Amelia. William told you that Amelia is a knight or Jack is a knight. Jack stated, \"Jack is a knight if and only if William is a knave\". Amelia stated, \"Jack is a knight\". So who is a knight and who is a knave?", "names": ["William", "Jack", "Amelia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false], "solution_text": "William is a knave, Jack is a knave, and Amelia is a knave.", "solution_text_format": "(1) William is a knave\n(2) Jack is a knave\n(3) 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 William is a knight. No contradiction is found in their claim that Amelia is a knight or Jack 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 claim of their own that Jack is a knight if and only if William is a knave.", "Jack cannot be a knave, because this would contradict the false claim of their own that Jack is a knight if and only if William 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.", "Jack cannot be a knight, because this would contradict the claim of their own that Jack is a knight if and only if William is a knave.", "Jack cannot be a knave, because this would contradict the claim of William that Amelia is a knight or Jack is a knight.", "We have exhausted all possibilities for Jack and Amelia, so let us go back and reconsider William.", "Assume William is a knave. No contradiction is found in their false claim that Amelia is a knight or Jack is a knight.", "Amelia cannot be a knight, because this would contradict the false claim of William that Amelia is a knight or Jack is a knight.", "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 William that Amelia is a knight or Jack is a knight.", "Assume Jack is a knave. No contradiction is found in their false claim that Jack is a knight if and only if William is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 2), ('telling-truth', 1)), ('<=>', ('telling-truth', 1), ('lying', 0)), ('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 3 inhabitants: Victoria, Alexander, and Luke. In a statement by Victoria: \"Alexander is a knave\". Alexander told you that If Luke is a knave then Alexander is a knight. According to Luke, \"If Alexander is a knight then Victoria is a knave\". So who is a knight and who is a knave?", "names": ["Victoria", "Alexander", "Luke"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Victoria is a knave, Alexander is a knight, and Luke is a knight.", "solution_text_format": "(1) Victoria is a knave\n(2) Alexander is a knight\n(3) 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 Victoria 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 Victoria that Alexander is a knave.", "Assume Alexander is a knave. No contradiction is found in their false claim that If Luke is a knave then Alexander is a knight.", "Luke cannot be a knight, because this would contradict the false claim of Alexander that If Luke is a knave then Alexander is a knight.", "Luke cannot be a knave, because this would contradict the false claim of their own that If Alexander is a knight then Victoria is a knave.", "We have exhausted all possibilities for Luke and Alexander, so let us go back and reconsider Victoria.", "Assume Victoria 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 Luke is a knave then Alexander is a knight.", "Assume Luke is a knight. No contradiction is found in their claim that If Alexander is a knight then Victoria is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('->', ('lying', 2), ('telling-truth', 1)), ('->', ('telling-truth', 1), ('lying', 0)))", "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 3 inhabitants: Emma, Sofia, and Daniel. \"If Sofia is a knight then Daniel is a knight,\" Emma claimed. \"Daniel is a knave or Emma is a knave\" - Sofia. Daniel told you that Emma is a knave or Sofia is a knave. So who is a knight and who is a knave?", "names": ["Emma", "Sofia", "Daniel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Emma is a knight, Sofia is a knave, and Daniel is a knight.", "solution_text_format": "(1) Emma is a knight\n(2) Sofia is a knave\n(3) 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 Emma is a knight. No contradiction is found in their claim that If Sofia is a knight then Daniel is a knight.", "Assume Sofia is a knight. No contradiction is found in their claim that Daniel is a knave or Emma is a knave.", "Daniel cannot be a knight, because this would contradict the claim of Sofia that Daniel is a knave or Emma is a knave.", "Daniel cannot be a knave, because this would contradict the claim of Emma that If Sofia is a knight then Daniel is a knight.", "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 knave or Emma is a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that Emma is a knave or Sofia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 1), ('telling-truth', 2)), ('or', ('lying', 2), ('lying', 0)), ('or', ('lying', 0), ('lying', 1)))", "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 3 inhabitants: Logan, Michael, and Lily. Logan stated, \"Michael is not a knight\". According to Michael, \"Lily is a knave or Logan is a knave\". \"Logan is a knight and Michael is a knight,\" Lily claimed. So who is a knight and who is a knave?", "names": ["Logan", "Michael", "Lily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Logan is a knave, Michael is a knight, and Lily is a knave.", "solution_text_format": "(1) Logan is a knave\n(2) Michael is a knight\n(3) 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 Logan 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 Logan that Michael is not a knight.", "Assume Michael is a knave. No contradiction is found in their false claim that Lily is a knave or Logan is a knave.", "Lily cannot be a knight, because this would contradict the claim of their own that Logan is a knight and Michael is a knight.", "Lily cannot be a knave, because this would contradict the false claim of Michael that Lily is a knave or Logan is a knave.", "We have exhausted all possibilities for Lily and Michael, so let us go back and reconsider Logan.", "Assume Logan 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 Lily is a knave or Logan is a knave.", "Lily cannot be a knight, because this would contradict the claim of their own that Logan is a knight and Michael is a knight.", "Assume Lily is a knave. No contradiction is found in their false claim that Logan is a knight and Michael is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('or', ('lying', 2), ('lying', 0)), ('and', ('telling-truth', 0), ('telling-truth', 1)))", "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 3 inhabitants: Benjamin, Emma, and Zoey. Benjamin remarked, \"Emma is a knave or Emma is a knight\". Emma stated, \"Zoey is a knight or Zoey is a knave\". \"Benjamin is not a knight,\" Zoey claimed. So who is a knight and who is a knave?", "names": ["Benjamin", "Emma", "Zoey"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Benjamin is a knight, Emma is a knight, and Zoey is a knave.", "solution_text_format": "(1) Benjamin is a knight\n(2) Emma is a knight\n(3) 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 Benjamin is a knight. No contradiction is found in their claim that Emma is a knave or Emma is a knight.", "Assume Emma is a knight. No contradiction is found in their claim that Zoey is a knight or Zoey is a knave.", "Zoey cannot be a knight, because this would contradict the claim of their own that Benjamin is not a knight.", "Assume Zoey 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', ('lying', 1), ('telling-truth', 1)), ('or', ('telling-truth', 2), ('lying', 2)), ('not', ('telling-truth', 0)))", "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 3 inhabitants: Scarlett, Isabella, and Joseph. Scarlett remarked, \"Isabella is a knight\". Isabella stated, \"Isabella is a knight if and only if Scarlett is a knave\". In a statement by Joseph: \"Scarlett is a knight and Joseph is a knight\". So who is a knight and who is a knave?", "names": ["Scarlett", "Isabella", "Joseph"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false], "solution_text": "Scarlett is a knave, Isabella is a knave, and Joseph is a knave.", "solution_text_format": "(1) Scarlett is a knave\n(2) Isabella is a knave\n(3) 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 Scarlett 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 Isabella is a knight if and only if Scarlett is a knave.", "Isabella cannot be a knave, because this would contradict the claim of Scarlett that Isabella is a knight.", "We have exhausted all possibilities for Isabella, so let us go back and reconsider Scarlett.", "Assume Scarlett 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 Scarlett that Isabella is a knight.", "Assume Isabella is a knave. No contradiction is found in their false claim that Isabella is a knight if and only if Scarlett is a knave.", "Joseph cannot be a knight, because this would contradict the claim of their own that Scarlett is a knight and Joseph is a knight.", "Assume Joseph is a knave. No contradiction is found in their false claim that Scarlett is a knight and Joseph is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 1), ('<=>', ('telling-truth', 1), ('lying', 0)), ('and', ('telling-truth', 0), ('telling-truth', 2)))", "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 3 inhabitants: Alexander, Ava, and Charlotte. Alexander said, \"Charlotte is a knave.\" Ava remarked, \"If Alexander is a knight then Charlotte is a knight\". According to Charlotte, \"If Ava is a knight then Alexander is a knave\". So who is a knight and who is a knave?", "names": ["Alexander", "Ava", "Charlotte"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Alexander is a knave, Ava is a knight, and Charlotte is a knight.", "solution_text_format": "(1) Alexander is a knave\n(2) Ava is a knight\n(3) 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 Alexander 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 Alexander that Charlotte is a knave.", "Assume Charlotte is a knave. No contradiction is found in their false claim that If Ava is a knight then Alexander is a knave.", "Ava cannot be a knight, because this would contradict the claim of their own that If Alexander is a knight then Charlotte is a knight.", "Ava cannot be a knave, because this would contradict the false claim of Charlotte that If Ava is a knight then Alexander is a knave.", "We have exhausted all possibilities for Ava 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 knave.", "Assume Charlotte 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 If Alexander is a knight then Charlotte is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 2), ('->', ('telling-truth', 0), ('telling-truth', 2)), ('->', ('telling-truth', 1), ('lying', 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 3 inhabitants: Ethan, Noah, and Scarlett. Ethan noted, \"Scarlett is a knave and Scarlett is a knight\". Noah stated, \"If Noah is a knight then Scarlett is a knight\". \"Noah is a knave or Noah is a knight\" - Scarlett. So who is a knight and who is a knave?", "names": ["Ethan", "Noah", "Scarlett"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Ethan is a knave, Noah is a knight, and Scarlett is a knight.", "solution_text_format": "(1) Ethan is a knave\n(2) Noah is a knight\n(3) 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": ["Ethan cannot be a knight, because this would contradict the claim of their own that Scarlett is a knave and Scarlett is a knight.", "Assume Ethan is a knave. No contradiction is found in their false claim that Scarlett is a knave and Scarlett is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that Noah is a knave or Noah is a knight.", "Assume Noah is a knight. No contradiction is found in their claim that If Noah is a knight then Scarlett is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('telling-truth', 2)), ('->', ('telling-truth', 1), ('telling-truth', 2)), ('or', ('lying', 1), ('telling-truth', 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 3 inhabitants: Sebastian, Zoey, and Victoria. \"Sebastian is a knight or Zoey is a knave\" - Sebastian. Zoey commented, \"Sebastian is a knight\". Victoria told you that Sebastian is a knight and Zoey is a knight. So who is a knight and who is a knave?", "names": ["Sebastian", "Zoey", "Victoria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Sebastian is a knight, Zoey is a knight, and Victoria is a knight.", "solution_text_format": "(1) Sebastian is a knight\n(2) Zoey is a knight\n(3) 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 Sebastian is a knight. No contradiction is found in their claim that Sebastian is a knight or Zoey is a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that Sebastian is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that Sebastian is a knight and Zoey is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 0), ('lying', 1)), ('telling-truth', 0), ('and', ('telling-truth', 0), ('telling-truth', 1)))", "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 3 inhabitants: Lily, James, and Alexander. \"Lily is a knight if and only if Alexander is a knight,\" Lily mentioned. \"James is a knight and Lily is a knight,\" James declared. In Alexander's words: \"Alexander is a knight and James is a knight\". So who is a knight and who is a knave?", "names": ["Lily", "James", "Alexander"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Lily is a knight, James is a knight, and Alexander is a knight.", "solution_text_format": "(1) Lily is a knight\n(2) James is a knight\n(3) 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 Lily is a knight. No contradiction is found in their claim that Lily is a knight if and only if Alexander is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that Alexander is a knight and James is a knight.", "Assume James is a knight. No contradiction is found in their claim that James is a knight and Lily is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 0), ('telling-truth', 2)), ('and', ('telling-truth', 1), ('telling-truth', 0)), ('and', ('telling-truth', 2), ('telling-truth', 1)))", "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 3 inhabitants: Michael, Daniel, and Alexander. \"Alexander is not a knight,\" Michael claimed. Daniel commented, \"Alexander is a knave and Michael is a knight\". Alexander said that Daniel is a knave if and only if Michael is a knave. So who is a knight and who is a knave?", "names": ["Michael", "Daniel", "Alexander"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Michael is a knave, Daniel is a knave, and Alexander is a knight.", "solution_text_format": "(1) Michael is a knave\n(2) Daniel is a knave\n(3) 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 Michael 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 Michael that Alexander is not a knight.", "Assume Alexander is a knave. No contradiction is found in their false claim that Daniel is a knave if and only if Michael is a knave.", "Daniel cannot be a knight, because this would contradict the false claim of Alexander that Daniel is a knave if and only if Michael is a knave.", "Daniel cannot be a knave, because this would contradict the false claim of their own that Alexander is a knave and Michael is a knight.", "We have exhausted all possibilities for Daniel and Alexander, so let us go back and reconsider Michael.", "Assume Michael 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 Daniel is a knave if and only if Michael is a knave.", "Daniel cannot be a knight, because this would contradict the claim of their own that Alexander is a knave and Michael is a knight.", "Assume Daniel is a knave. No contradiction is found in their false claim that Alexander is a knave and Michael is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 2)), ('and', ('lying', 2), ('telling-truth', 0)), ('<=>', ('lying', 1), ('lying', 0)))", "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 3 inhabitants: Michael, William, and Amelia. \"Michael is a knight or Amelia is a knight,\" Michael mentioned. William expressed that Michael is not a knight. In a statement by Amelia: \"If Michael is a knight then William is a knight\". So who is a knight and who is a knave?", "names": ["Michael", "William", "Amelia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false], "solution_text": "Michael is a knight, William is a knave, and Amelia is a knave.", "solution_text_format": "(1) Michael is a knight\n(2) William is a knave\n(3) 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 Michael is a knight. No contradiction is found in their claim that Michael is a knight or Amelia is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that If Michael is a knight then William is a knight.", "William cannot be a knight, because this would contradict the claim of their own that Michael is not a knight.", "William cannot be a knave, because this would contradict the claim of Amelia that If Michael is a knight then William is a knight.", "We have exhausted all possibilities for William, so let us go back and reconsider Amelia.", "Assume Amelia is a knave. No contradiction is found in their false claim that If Michael is a knight then William is a knight.", "William cannot be a knight, because this would contradict the claim of their own that Michael is not a knight.", "Assume William 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": "(('or', ('telling-truth', 0), ('telling-truth', 2)), ('not', ('telling-truth', 0)), ('->', ('telling-truth', 0), ('telling-truth', 1)))", "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 3 inhabitants: Harper, Ava, and David. As Harper put it, \"If Ava is a knight then David is a knave\". Ava commented, \"David is a knave or Harper is a knight\". David stated, \"Harper is a knave and Harper is a knight\". So who is a knight and who is a knave?", "names": ["Harper", "Ava", "David"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Harper is a knight, Ava is a knight, and David is a knave.", "solution_text_format": "(1) Harper is a knight\n(2) Ava is a knight\n(3) 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 Harper is a knight. No contradiction is found in their claim that If Ava is a knight then David is a knave.", "Assume Ava is a knight. No contradiction is found in their claim that David is a knave or Harper is a knight.", "David cannot be a knight, because this would contradict the claim of Harper that If Ava is a knight then David is a knave.", "Assume David is a knave. No contradiction is found in their false claim that Harper is a knave and Harper is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 1), ('lying', 2)), ('or', ('lying', 2), ('telling-truth', 0)), ('and', ('lying', 0), ('telling-truth', 0)))", "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 3 inhabitants: Sophia, Emily, and Zoey. As Sophia put it, \"Zoey is not a knight\". Emily said that If Zoey is a knave then Sophia is a knight. \"Emily is not a knight,\" Zoey declared. So who is a knight and who is a knave?", "names": ["Sophia", "Emily", "Zoey"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Sophia is a knight, Emily is a knight, and Zoey is a knave.", "solution_text_format": "(1) Sophia is a knight\n(2) Emily is a knight\n(3) 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 not a knight.", "Zoey cannot be a knight, because this would contradict the claim of Sophia that Zoey is not a knight.", "Assume Zoey 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 If Zoey is a knave then Sophia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 2)), ('->', ('lying', 2), ('telling-truth', 0)), ('not', ('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 3 inhabitants: Chloe, Noah, and Evelyn. Chloe noted, \"Noah is not a knave\". \"If Chloe is a knave then Evelyn is a knight,\" Noah claimed. Evelyn noted, \"If Chloe is a knight then Noah is a knight\". So who is a knight and who is a knave?", "names": ["Chloe", "Noah", "Evelyn"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Chloe is a knight, Noah is a knight, and Evelyn is a knight.", "solution_text_format": "(1) Chloe is a knight\n(2) Noah is a knight\n(3) 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 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 Chloe is a knave then Evelyn is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that If Chloe is a knight then Noah is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 1)), ('->', ('lying', 0), ('telling-truth', 2)), ('->', ('telling-truth', 0), ('telling-truth', 1)))", "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 3 inhabitants: Owen, Isabella, and Sophia. Owen remarked, \"If Owen is a knight then Sophia is a knight\". Isabella told you that Sophia is not a knight. Sophia asserted: \"Owen is a knight\". So who is a knight and who is a knave?", "names": ["Owen", "Isabella", "Sophia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Owen is a knight, Isabella is a knave, and Sophia is a knight.", "solution_text_format": "(1) Owen is a knight\n(2) Isabella is a knave\n(3) 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 If Owen is a knight then Sophia is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that Owen is a knight.", "Isabella cannot be a knight, because this would contradict the claim of their own that Sophia is not a knight.", "Assume Isabella is a knave. No contradiction is found in their false claim that Sophia is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 0), ('telling-truth', 2)), ('not', ('telling-truth', 2)), ('telling-truth', 0))", "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 3 inhabitants: Grace, Sofia, and Penelope. Grace said, \"Penelope is a knight if and only if Sofia is a knave.\" Sofia said, \"Sofia is a knight and Grace is a knight.\" Penelope said, \"Sofia is a knight or Sofia is a knave.\" So who is a knight and who is a knave?", "names": ["Grace", "Sofia", "Penelope"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Grace is a knight, Sofia is a knave, and Penelope is a knight.", "solution_text_format": "(1) Grace is a knight\n(2) Sofia is a knave\n(3) 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 Grace is a knight. No contradiction is found in their claim that Penelope is a knight if and only if Sofia is a knave.", "Assume Penelope is a knight. No contradiction is found in their claim that Sofia is a knight or Sofia is a knave.", "Sofia cannot be a knight, because this would contradict the claim of Grace that Penelope is a knight if and only if Sofia is a knave.", "Assume Sofia is a knave. No contradiction is found in their false claim that Sofia is a knight and Grace is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 2), ('lying', 1)), ('and', ('telling-truth', 1), ('telling-truth', 0)), ('or', ('telling-truth', 1), ('lying', 1)))", "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 3 inhabitants: Aurora, Scarlett, and Luke. In Aurora's words: \"If Luke is a knave then Luke is a knight\". In a statement by Scarlett: \"Luke is a knave and Aurora is a knight\". \"Scarlett is a knave\" - Luke. So who is a knight and who is a knave?", "names": ["Aurora", "Scarlett", "Luke"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Aurora is a knight, Scarlett is a knave, and Luke is a knight.", "solution_text_format": "(1) Aurora is a knight\n(2) Scarlett is a knave\n(3) 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 Aurora is a knight. No contradiction is found in their claim that If Luke is a knave then Luke is a knight.", "Assume Luke 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 their own that Luke is a knave and Aurora is a knight.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Luke is a knave and Aurora is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 2), ('telling-truth', 2)), ('and', ('lying', 2), ('telling-truth', 0)), ('lying', 1))", "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 3 inhabitants: Liam, Benjamin, and Elizabeth. Liam said that If Elizabeth is a knave then Elizabeth is a knight. In Benjamin's words: \"Elizabeth is a knight if and only if Liam is a knave\". \"Liam is a knave or Liam is a knight,\" Elizabeth declared. So who is a knight and who is a knave?", "names": ["Liam", "Benjamin", "Elizabeth"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Liam is a knight, Benjamin is a knave, and Elizabeth is a knight.", "solution_text_format": "(1) Liam is a knight\n(2) Benjamin is a knave\n(3) 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 Liam is a knight. No contradiction is found in their claim that If Elizabeth is a knave then Elizabeth is a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Liam is a knave or Liam is a knight.", "Benjamin cannot be a knight, because this would contradict the claim of their own that Elizabeth is a knight if and only if Liam is a knave.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Elizabeth is a knight if and only if Liam is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 2), ('telling-truth', 2)), ('<=>', ('telling-truth', 2), ('lying', 0)), ('or', ('lying', 0), ('telling-truth', 0)))", "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 3 inhabitants: Zoey, Evelyn, and Jackson. According to Zoey, \"Evelyn is a knave if and only if Jackson is a knight\". As Evelyn put it, \"Zoey is a knave\". According to Jackson, \"Zoey is not a knave\". So who is a knight and who is a knave?", "names": ["Zoey", "Evelyn", "Jackson"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Zoey is a knight, Evelyn is a knave, and Jackson is a knight.", "solution_text_format": "(1) Zoey is a knight\n(2) Evelyn is a knave\n(3) 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 Evelyn is a knave if and only if Jackson is a knight.", "Evelyn cannot be a knight, because this would contradict the claim of their own that Zoey is a knave.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Zoey is a knave.", "Assume Jackson 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', 1), ('telling-truth', 2)), ('lying', 0), ('not', ('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 3 inhabitants: Lucas, Olivia, and Aurora. In a statement by Lucas: \"Olivia is a knight or Aurora is a knight\". Olivia commented, \"Aurora is a knave and Aurora is a knight\". Aurora said that Lucas is a knave and Aurora is a knight. So who is a knight and who is a knave?", "names": ["Lucas", "Olivia", "Aurora"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false], "solution_text": "Lucas is a knave, Olivia is a knave, and Aurora is a knave.", "solution_text_format": "(1) Lucas is a knave\n(2) Olivia is a knave\n(3) 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 Lucas is a knight. No contradiction is found in their claim that Olivia is a knight or Aurora is a knight.", "Olivia cannot be a knight, because this would contradict the claim of their own that Aurora is a knave and Aurora is a knight.", "Assume Olivia is a knave. No contradiction is found in their false claim that Aurora is a knave and Aurora is a knight.", "Aurora cannot be a knight, because this would contradict the claim of their own that Lucas is a knave and Aurora is a knight.", "Aurora cannot be a knave, because this would contradict the claim of Lucas that Olivia is a knight or Aurora is a knight.", "We have exhausted all possibilities for Aurora 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 knight or Aurora is a knight.", "Olivia cannot be a knight, because this would contradict the false claim of Lucas that Olivia is a knight or Aurora is a knight.", "Assume Olivia is a knave. No contradiction is found in their false claim that Aurora is a knave and Aurora is a knight.", "Aurora cannot be a knight, because this would contradict the false claim of Lucas that Olivia is a knight or Aurora is a knight.", "Assume Aurora is a knave. No contradiction is found in their false claim that Lucas is a knave and Aurora is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 1), ('telling-truth', 2)), ('and', ('lying', 2), ('telling-truth', 2)), ('and', ('lying', 0), ('telling-truth', 2)))", "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 3 inhabitants: Mason, Avery, and Owen. \"If Owen is a knight then Avery is a knight,\" Mason declared. \"Mason is a knight if and only if Avery is a knight\" - Avery. According to Owen, \"If Owen is a knight then Mason is a knight\". So who is a knight and who is a knave?", "names": ["Mason", "Avery", "Owen"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Mason is a knight, Avery is a knight, and Owen is a knight.", "solution_text_format": "(1) Mason is a knight\n(2) Avery is a knight\n(3) 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 If Owen is a knight then Avery is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that If Owen is a knight then Mason is a knight.", "Assume Avery is a knight. No contradiction is found in their claim that Mason is a knight if and only if Avery is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 2), ('telling-truth', 1)), ('<=>', ('telling-truth', 0), ('telling-truth', 1)), ('->', ('telling-truth', 2), ('telling-truth', 0)))", "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 3 inhabitants: Victoria, Matthew, and Liam. Victoria expressed that Liam is a knave if and only if Matthew is a knight. Matthew told you that Liam is a knight. \"Matthew is a knave or Victoria is a knave,\" Liam mentioned. So who is a knight and who is a knave?", "names": ["Victoria", "Matthew", "Liam"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Victoria is a knave, Matthew is a knight, and Liam is a knight.", "solution_text_format": "(1) Victoria is a knave\n(2) Matthew is a knight\n(3) 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 Liam is a knave if and only if Matthew is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that Matthew is a knave or Victoria is a knave.", "Matthew cannot be a knight, because this would contradict the claim of Victoria that Liam is a knave if and only if Matthew is a knight.", "Matthew 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 Matthew, so let us go back and reconsider Liam.", "Assume Liam is a knave. No contradiction is found in their false claim that Matthew is a knave or Victoria is a knave.", "Matthew cannot be a knight, because this would contradict the claim of their own that Liam is a knight.", "Matthew cannot be a knave, because this would contradict the claim of Victoria that Liam is a knave if and only if Matthew is a knight.", "We have exhausted all possibilities for Matthew and Liam, so let us go back and reconsider Victoria.", "Assume Victoria is a knave. No contradiction is found in their false claim that Liam is a knave if and only if Matthew is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that Matthew is a knave or Victoria is a knave.", "Assume Matthew is a knight. No contradiction is found in their claim that Liam is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 2), ('telling-truth', 1)), ('telling-truth', 2), ('or', ('lying', 1), ('lying', 0)))", "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 3 inhabitants: Isabella, Chloe, and Benjamin. Isabella told you that Chloe is a knight if and only if Isabella is a knight. \"Isabella is not a knave,\" Chloe declared. Benjamin asserted: \"If Isabella is a knight then Isabella is a knave\". So who is a knight and who is a knave?", "names": ["Isabella", "Chloe", "Benjamin"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Isabella is a knight, Chloe is a knight, and Benjamin is a knave.", "solution_text_format": "(1) Isabella is a knight\n(2) Chloe is a knight\n(3) 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 Isabella is a knight. No contradiction is found in their claim that Chloe is a knight if and only if Isabella is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that Isabella is not a knave.", "Benjamin cannot be a knight, because this would contradict the claim of their own that If Isabella is a knight then Isabella is a knave.", "Assume Benjamin is a knave. No contradiction is found in their false claim that If Isabella is a knight then Isabella is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('telling-truth', 0)), ('not', ('lying', 0)), ('->', ('telling-truth', 0), ('lying', 0)))", "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 3 inhabitants: Michael, Alexander, and Amelia. \"Amelia is not a knight,\" Michael declared. Alexander expressed that Amelia is a knave. Amelia asserted: \"Amelia is a knight and Michael is a knight\". So who is a knight and who is a knave?", "names": ["Michael", "Alexander", "Amelia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Michael is a knight, Alexander is a knight, and Amelia is a knave.", "solution_text_format": "(1) Michael is a knight\n(2) Alexander is a knight\n(3) 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 Michael is a knight. No contradiction is found in their claim that Amelia is not a knight.", "Amelia cannot be a knight, because this would contradict the claim of Michael that Amelia is not a knight.", "Assume Amelia is a knave. No contradiction is found in their false claim that Amelia is a knight and Michael is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that Amelia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 2)), ('lying', 2), ('and', ('telling-truth', 2), ('telling-truth', 0)))", "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 3 inhabitants: Mia, Oliver, and Jacob. Mia said that Oliver is a knight if and only if Mia is a knight. Oliver remarked, \"Mia is not a knave\". Jacob remarked, \"Mia is not a knight\". So who is a knight and who is a knave?", "names": ["Mia", "Oliver", "Jacob"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Mia is a knight, Oliver is a knight, and Jacob is a knave.", "solution_text_format": "(1) Mia is a knight\n(2) Oliver is a knight\n(3) 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 Mia is a knight. No contradiction is found in their claim that Oliver is a knight if and only if Mia is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that Mia is not a knave.", "Jacob cannot be a knight, because this would contradict the claim of their own that Mia is not a knight.", "Assume Jacob 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), ('telling-truth', 0)), ('not', ('lying', 0)), ('not', ('telling-truth', 0)))", "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 3 inhabitants: Sophia, Victoria, and Lucas. Sophia noted, \"Lucas is a knave or Victoria is a knave\". In a statement by Victoria: \"Sophia is not a knight\". Lucas asserted: \"If Lucas is a knight then Sophia is a knave\". So who is a knight and who is a knave?", "names": ["Sophia", "Victoria", "Lucas"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Sophia is a knave, Victoria is a knight, and Lucas is a knight.", "solution_text_format": "(1) Sophia is a knave\n(2) Victoria is a knight\n(3) 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 Lucas is a knave or Victoria is a knave.", "Lucas cannot be a knight, because this would contradict the claim of their own that If Lucas is a knight then Sophia 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 Sophia is a knave.", "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 or Victoria is a knave.", "Assume Lucas is a knight. No contradiction is found in their claim that If Lucas is a knight then Sophia is a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that Sophia is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 2), ('lying', 1)), ('not', ('telling-truth', 0)), ('->', ('telling-truth', 2), ('lying', 0)))", "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 3 inhabitants: Evelyn, Liam, and Owen. In Evelyn's words: \"Evelyn is a knight if and only if Liam is a knave\". Liam told you that If Evelyn is a knight then Liam is a knight. \"Liam is a knave or Evelyn is a knight\" - Owen. So who is a knight and who is a knave?", "names": ["Evelyn", "Liam", "Owen"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Evelyn is a knight, Liam is a knave, and Owen is a knight.", "solution_text_format": "(1) Evelyn is a knight\n(2) Liam is a knave\n(3) 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 Evelyn is a knight. No contradiction is found in their claim that Evelyn is a knight if and only if Liam is a knave.", "Liam cannot be a knight, because this would contradict the claim of Evelyn that Evelyn 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 If Evelyn is a knight then Liam is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that Liam is a knave or Evelyn is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 0), ('lying', 1)), ('->', ('telling-truth', 0), ('telling-truth', 1)), ('or', ('lying', 1), ('telling-truth', 0)))", "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 3 inhabitants: Jack, Penelope, and Emily. Jack asserted: \"Penelope is a knight or Jack is a knight\". \"If Jack is a knave then Emily is a knight,\" Penelope declared. Emily asserted: \"Jack is not a knight\". So who is a knight and who is a knave?", "names": ["Jack", "Penelope", "Emily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Jack is a knight, Penelope is a knight, and Emily is a knave.", "solution_text_format": "(1) Jack is a knight\n(2) Penelope is a knight\n(3) 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 Jack is a knight. No contradiction is found in their claim that Penelope is a knight or Jack is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that If Jack is a knave then Emily is a knight.", "Emily cannot be a knight, because this would contradict the claim of their own that Jack is not a knight.", "Assume Emily is a knave. No contradiction is found in their false claim that Jack is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 1), ('telling-truth', 0)), ('->', ('lying', 0), ('telling-truth', 2)), ('not', ('telling-truth', 0)))", "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 3 inhabitants: Charlotte, Logan, and Henry. Charlotte noted, \"Logan is not a knight\". Logan noted, \"Charlotte is a knight or Henry is a knight\". Henry expressed that If Charlotte is a knave then Henry is a knight. So who is a knight and who is a knave?", "names": ["Charlotte", "Logan", "Henry"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Charlotte is a knave, Logan is a knight, and Henry is a knight.", "solution_text_format": "(1) Charlotte is a knave\n(2) Logan is a knight\n(3) 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 Charlotte 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 Charlotte that Logan is not a knight.", "Logan cannot be a knave, because this would contradict the false claim of their own that Charlotte is a knight or Henry is a knight.", "We have exhausted all possibilities for Logan, so let us go back and reconsider Charlotte.", "Assume Charlotte 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 Charlotte is a knight or Henry is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that If Charlotte is a knave then Henry is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('or', ('telling-truth', 0), ('telling-truth', 2)), ('->', ('lying', 0), ('telling-truth', 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 3 inhabitants: Grace, Noah, and Lily. Grace said that Noah is a knave or Noah is a knight. \"Grace is a knight,\" Noah claimed. \"If Noah is a knight then Noah is a knave\" - Lily. So who is a knight and who is a knave?", "names": ["Grace", "Noah", "Lily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Grace is a knight, Noah is a knight, and Lily is a knave.", "solution_text_format": "(1) Grace is a knight\n(2) Noah is a knight\n(3) 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 Grace is a knight. No contradiction is found in their claim that Noah is a knave or Noah is a knight.", "Assume Noah is a knight. No contradiction is found in their claim that Grace is a knight.", "Lily cannot be a knight, because this would contradict the claim of their own that If Noah is a knight then Noah is a knave.", "Assume Lily is a knave. No contradiction is found in their false claim that If Noah is a knight then Noah is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('telling-truth', 1)), ('telling-truth', 0), ('->', ('telling-truth', 1), ('lying', 1)))", "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 3 inhabitants: Sophia, Penelope, and Mason. \"Mason is a knave if and only if Mason is a knight,\" Sophia declared. Penelope was heard saying, \"Penelope is a knight or Sophia is a knave\". \"Sophia is a knight and Penelope is a knave,\" Mason mentioned. So who is a knight and who is a knave?", "names": ["Sophia", "Penelope", "Mason"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Sophia is a knave, Penelope is a knight, and Mason is a knave.", "solution_text_format": "(1) Sophia is a knave\n(2) Penelope is a knight\n(3) 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": ["Sophia cannot be a knight, because this would contradict the claim of their own that Mason is a knave if and only if Mason is a knight.", "Assume Sophia is a knave. No contradiction is found in their false claim that Mason 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 Sophia is a knight and Penelope is a knave.", "Assume Mason is a knave. No contradiction is found in their false claim that Sophia is a knight and Penelope is a knave.", "Assume Penelope is a knight. No contradiction is found in their claim that Penelope is a knight or Sophia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 2), ('telling-truth', 2)), ('or', ('telling-truth', 1), ('lying', 0)), ('and', ('telling-truth', 0), ('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 3 inhabitants: Henry, Chloe, and William. Henry was heard saying, \"Chloe is a knave\". \"William is a knave if and only if William is a knight\" - Chloe. William was heard saying, \"Chloe is a knight and Henry is a knight\". So who is a knight and who is a knave?", "names": ["Henry", "Chloe", "William"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false], "solution_text": "Henry is a knight, Chloe is a knave, and William is a knave.", "solution_text_format": "(1) Henry is a knight\n(2) Chloe is a knave\n(3) 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 Henry 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 Henry that Chloe is a knave.", "Assume Chloe is a knave. No contradiction is found in their false claim that William is a knave 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 a knight and Henry is a knight.", "Assume William is a knave. No contradiction is found in their false claim that Chloe is a knight and Henry is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('<=>', ('lying', 2), ('telling-truth', 2)), ('and', ('telling-truth', 1), ('telling-truth', 0)))", "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 3 inhabitants: Sebastian, Chloe, and Oliver. \"Chloe is a knave and Oliver is a knave,\" Sebastian declared. Chloe told you that Chloe is a knight. In Oliver's words: \"Sebastian is not a knave\". So who is a knight and who is a knave?", "names": ["Sebastian", "Chloe", "Oliver"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Sebastian is a knave, Chloe is a knight, and Oliver is a knave.", "solution_text_format": "(1) Sebastian is a knave\n(2) Chloe is a knight\n(3) 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 Sebastian is a knight. No contradiction is found in their claim that Chloe is a knave and Oliver is a knave.", "Chloe cannot be a knight, because this would contradict the claim of Sebastian that Chloe is a knave and Oliver is a knave.", "Assume Chloe is a knave. No contradiction is found in their false claim that Chloe is a knight.", "Oliver cannot be a knight, because this would contradict the claim of Sebastian that Chloe is a knave and Oliver is a knave.", "Oliver 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 Oliver and Chloe, so let us go back and reconsider Sebastian.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Chloe is a knave and Oliver is a knave.", "Assume Chloe is a knight. No contradiction is found in their claim that Chloe is a knight.", "Oliver cannot be a knight, because this would contradict the claim of their own that Sebastian is not a knave.", "Assume Oliver 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": "(('and', ('lying', 1), ('lying', 2)), ('telling-truth', 1), ('not', ('lying', 0)))", "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 3 inhabitants: Sophia, Elizabeth, and Evelyn. Sophia expressed that Elizabeth is not a knight. In a statement by Elizabeth: \"Sophia is a knave if and only if Evelyn is a knight\". In Evelyn's words: \"Elizabeth is a knave\". So who is a knight and who is a knave?", "names": ["Sophia", "Elizabeth", "Evelyn"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Sophia is a knight, Elizabeth is a knave, and Evelyn is a knight.", "solution_text_format": "(1) Sophia is a knight\n(2) Elizabeth is a knave\n(3) 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 Elizabeth is not a knight.", "Elizabeth cannot be a knight, because this would contradict the claim of Sophia that Elizabeth is not a knight.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Sophia is a knave if and only if Evelyn is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that Elizabeth is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('<=>', ('lying', 0), ('telling-truth', 2)), ('lying', 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 3 inhabitants: Zoey, Oliver, and Grace. Zoey remarked, \"Oliver is a knave or Grace is a knight\". \"Grace is a knight,\" Oliver mentioned. \"Zoey is not a knight\" - Grace. So who is a knight and who is a knave?", "names": ["Zoey", "Oliver", "Grace"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false], "solution_text": "Zoey is a knight, Oliver is a knave, and Grace is a knave.", "solution_text_format": "(1) Zoey is a knight\n(2) Oliver is a knave\n(3) 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 Zoey is a knight. No contradiction is found in their claim that Oliver is a knave or Grace is a knight.", "Assume Oliver 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 Zoey is not a knight.", "Grace cannot be a knave, because this would contradict the claim of Zoey that Oliver is a knave or Grace is a knight.", "We have exhausted all possibilities for Grace, 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 knight.", "Grace cannot be a knight, because this would contradict the false claim of Oliver that Grace is a knight.", "Assume Grace 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', ('lying', 1), ('telling-truth', 2)), ('telling-truth', 2), ('not', ('telling-truth', 0)))", "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 3 inhabitants: Luke, Riley, and Zoey. Luke commented, \"Zoey is a knight if and only if Riley is a knave\". Riley stated, \"Luke is a knave\". \"Luke is a knight,\" Zoey claimed. So who is a knight and who is a knave?", "names": ["Luke", "Riley", "Zoey"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Luke is a knight, Riley is a knave, and Zoey is a knight.", "solution_text_format": "(1) Luke is a knight\n(2) Riley is a knave\n(3) 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 Luke is a knight. No contradiction is found in their claim that Zoey is a knight if and only if Riley is a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that Luke is a knight.", "Riley cannot be a knight, because this would contradict the claim of Luke that Zoey 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 Luke is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 2), ('lying', 1)), ('lying', 0), ('telling-truth', 0))", "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 3 inhabitants: Ethan, Joseph, and Alexander. \"Joseph is a knave if and only if Alexander is a knave,\" Ethan declared. \"Ethan is a knave or Ethan is a knight\" - Joseph. According to Alexander, \"Joseph is a knave\". So who is a knight and who is a knave?", "names": ["Ethan", "Joseph", "Alexander"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Ethan is a knave, Joseph is a knight, and Alexander is a knave.", "solution_text_format": "(1) Ethan is a knave\n(2) Joseph is a knight\n(3) 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 Ethan is a knight. No contradiction is found in their claim that Joseph is a knave if and only if Alexander is a knave.", "Assume Joseph is a knight. No contradiction is found in their claim that Ethan is a knave or Ethan is a knight.", "Alexander cannot be a knight, because this would contradict the claim of their own that Joseph is a knave.", "Alexander cannot be a knave, because this would contradict the claim of Ethan that Joseph is a knave if and only if Alexander is a knave.", "We have exhausted all possibilities for Alexander, so let us go back and reconsider Joseph.", "Joseph cannot be a knave, because this would contradict the false claim of their own that Ethan is a knave or Ethan is a knight.", "We have exhausted all possibilities for Joseph, so let us go back and reconsider Ethan.", "Assume Ethan is a knave. No contradiction is found in their false claim that Joseph is a knave if and only if Alexander is a knave.", "Assume Joseph is a knight. No contradiction is found in their claim that Ethan is a knave or Ethan is a knight.", "Alexander cannot be a knight, because this would contradict the false claim of Ethan that Joseph 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 Joseph is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('lying', 2)), ('or', ('lying', 0), ('telling-truth', 0)), ('lying', 1))", "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 3 inhabitants: Abigail, Alexander, and Mason. Abigail commented, \"Mason is a knight and Alexander is a knave\". \"Mason is not a knight,\" Alexander declared. \"Mason is a knight or Abigail is a knave\" - Mason. So who is a knight and who is a knave?", "names": ["Abigail", "Alexander", "Mason"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Abigail is a knight, Alexander is a knave, and Mason is a knight.", "solution_text_format": "(1) Abigail is a knight\n(2) Alexander is a knave\n(3) 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 Abigail is a knight. No contradiction is found in their claim that Mason is a knight and Alexander is a knave.", "Assume Mason is a knight. No contradiction is found in their claim that Mason is a knight or Abigail is a knave.", "Alexander cannot be a knight, because this would contradict the claim of Abigail that Mason is a knight and Alexander is a knave.", "Assume Alexander is a knave. No contradiction is found in their false claim that Mason is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 2), ('lying', 1)), ('not', ('telling-truth', 2)), ('or', ('telling-truth', 2), ('lying', 0)))", "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 3 inhabitants: Henry, Oliver, and Harper. Henry asserted: \"Oliver is a knight or Harper is a knight\". \"Oliver is a knight or Harper is a knight,\" Oliver claimed. \"Oliver is a knave if and only if Henry is a knave,\" Harper claimed. So who is a knight and who is a knave?", "names": ["Henry", "Oliver", "Harper"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Henry is a knight, Oliver is a knight, and Harper is a knight.", "solution_text_format": "(1) Henry is a knight\n(2) Oliver is a knight\n(3) 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 Oliver is a knight or Harper is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that Oliver is a knight or Harper is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that Oliver is a knave if and only if Henry is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 1), ('telling-truth', 2)), ('or', ('telling-truth', 1), ('telling-truth', 2)), ('<=>', ('lying', 1), ('lying', 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 3 inhabitants: Lily, Samuel, and Logan. \"Logan is a knave if and only if Logan is a knight\" - Lily. In Samuel's words: \"Logan is a knave\". As Logan put it, \"Lily is not a knave\". So who is a knight and who is a knave?", "names": ["Lily", "Samuel", "Logan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Lily is a knave, Samuel is a knight, and Logan is a knave.", "solution_text_format": "(1) Lily is a knave\n(2) Samuel is a knight\n(3) 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": ["Lily 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 Lily is a knave. No contradiction is found in their false claim that Logan is a knave if and only if Logan is a knight.", "Logan cannot be a knight, because this would contradict the claim of their own that Lily is not a knave.", "Assume Logan is a knave. No contradiction is found in their false claim that Lily is not a knave.", "Assume Samuel 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', 2)), ('lying', 2), ('not', ('lying', 0)))", "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 3 inhabitants: Owen, Amelia, and Abigail. Owen remarked, \"If Owen is a knight then Amelia is a knight\". \"If Amelia is a knight then Owen is a knight,\" Amelia mentioned. Abigail remarked, \"Owen is a knave\". So who is a knight and who is a knave?", "names": ["Owen", "Amelia", "Abigail"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Owen is a knight, Amelia is a knight, and Abigail is a knave.", "solution_text_format": "(1) Owen is a knight\n(2) Amelia is a knight\n(3) 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 Owen is a knight. No contradiction is found in their claim that If Owen is a knight then Amelia is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that If Amelia is a knight then Owen is a knight.", "Abigail cannot be a knight, because this would contradict the claim of their own that Owen is a knave.", "Assume Abigail is a knave. No contradiction is found in their false claim that Owen is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 0), ('telling-truth', 1)), ('->', ('telling-truth', 1), ('telling-truth', 0)), ('lying', 0))", "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 3 inhabitants: Sophia, William, and Lucas. In a statement by Sophia: \"William is a knight or Lucas is a knight\". William said that Lucas is a knight and Sophia is a knight. Lucas noted, \"Sophia is a knight if and only if Sophia is a knave\". So who is a knight and who is a knave?", "names": ["Sophia", "William", "Lucas"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false], "solution_text": "Sophia is a knave, William is a knave, and Lucas is a knave.", "solution_text_format": "(1) Sophia is a knave\n(2) William is a knave\n(3) 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 William is a knight or Lucas is a knight.", "Assume William is a knight. No contradiction is found in their claim that Lucas is a knight and Sophia is a knight.", "Lucas cannot be a knight, because this would contradict the claim of their own that Sophia is a knight if and only if Sophia is a knave.", "Lucas cannot be a knave, because this would contradict the claim of William that Lucas is a knight and Sophia is a knight.", "We have exhausted all possibilities for Lucas, so let us go back and reconsider William.", "Assume William is a knave. No contradiction is found in their false claim that Lucas is a knight and Sophia is a knight.", "Lucas cannot be a knight, because this would contradict the false claim of William that Lucas is a knight and Sophia is a knight.", "Lucas cannot be a knave, because this would contradict the claim of Sophia that William is a knight or Lucas is a knight.", "We have exhausted all possibilities for Lucas and William, so let us go back and reconsider Sophia.", "Assume Sophia is a knave. No contradiction is found in their false claim that William is a knight or Lucas is a knight.", "William cannot be a knight, because this would contradict the false claim of Sophia that William is a knight or Lucas is a knight.", "Assume William is a knave. No contradiction is found in their false claim that Lucas is a knight and Sophia is a knight.", "Lucas cannot be a knight, because this would contradict the false claim of Sophia that William is a knight or Lucas is a knight.", "Assume Lucas is a knave. No contradiction is found in their false claim that Sophia is a knight if and only if Sophia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 1), ('telling-truth', 2)), ('and', ('telling-truth', 2), ('telling-truth', 0)), ('<=>', ('telling-truth', 0), ('lying', 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 3 inhabitants: Noah, Grace, and Jack. Noah noted, \"If Noah is a knight then Jack is a knight\". Grace told you that Jack is not a knight. In a statement by Jack: \"If Grace is a knight then Noah is a knight\". So who is a knight and who is a knave?", "names": ["Noah", "Grace", "Jack"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Noah is a knight, Grace is a knave, and Jack is a knight.", "solution_text_format": "(1) Noah is a knight\n(2) Grace is a knave\n(3) 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 Noah is a knight. No contradiction is found in their claim that If Noah is a knight then Jack is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that If Grace is a knight then Noah is a knight.", "Grace cannot be a knight, because this would contradict the claim of their own that Jack is not a knight.", "Assume Grace is a knave. No contradiction is found in their false claim that Jack is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 0), ('telling-truth', 2)), ('not', ('telling-truth', 2)), ('->', ('telling-truth', 1), ('telling-truth', 0)))", "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 3 inhabitants: Owen, Aurora, and Harper. Owen said, \"Owen is a knight if and only if Harper is a knight.\" Aurora asserted: \"If Owen is a knave then Owen is a knight\". Harper expressed that Owen is a knight if and only if Harper is a knight. So who is a knight and who is a knave?", "names": ["Owen", "Aurora", "Harper"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Owen is a knight, Aurora is a knight, and Harper is a knight.", "solution_text_format": "(1) Owen is a knight\n(2) Aurora is a knight\n(3) 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 Owen is a knight if and only if Harper is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that Owen is a knight if and only if Harper is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that If Owen is a knave then Owen is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 0), ('telling-truth', 2)), ('->', ('lying', 0), ('telling-truth', 0)), ('<=>', ('telling-truth', 0), ('telling-truth', 2)))", "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 3 inhabitants: Ava, Grace, and Noah. \"Grace is a knave\" - Ava. Grace commented, \"Grace is a knight if and only if Noah is a knight\". In a statement by Noah: \"Ava is a knave\". So who is a knight and who is a knave?", "names": ["Ava", "Grace", "Noah"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Ava is a knave, Grace is a knight, and Noah is a knight.", "solution_text_format": "(1) Ava is a knave\n(2) Grace is a knight\n(3) 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 Ava 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 Ava 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 Noah is a knight.", "Noah cannot be a knight, because this would contradict the claim of their own that Ava is a knave.", "Noah cannot be a knave, because this would contradict the false claim of Grace that Grace is a knight if and only if Noah is a knight.", "We have exhausted all possibilities for Noah and Grace, so let us go back and reconsider Ava.", "Assume Ava 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 Noah is a knight.", "Assume Noah is a knight. No contradiction is found in their claim that Ava is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('<=>', ('telling-truth', 1), ('telling-truth', 2)), ('lying', 0))", "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 3 inhabitants: Grace, Aiden, and Charlotte. Grace told you that Grace is a knight and Aiden is a knight. Aiden expressed that If Charlotte is a knave then Charlotte is a knight. \"Aiden is a knight if and only if Grace is a knight,\" Charlotte mentioned. So who is a knight and who is a knave?", "names": ["Grace", "Aiden", "Charlotte"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Grace is a knight, Aiden is a knight, and Charlotte is a knight.", "solution_text_format": "(1) Grace is a knight\n(2) Aiden is a knight\n(3) 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 Grace is a knight. No contradiction is found in their claim that Grace is a knight and Aiden is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that If Charlotte is a knave then Charlotte is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that Aiden is a knight if and only if Grace is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 0), ('telling-truth', 1)), ('->', ('lying', 2), ('telling-truth', 2)), ('<=>', ('telling-truth', 1), ('telling-truth', 0)))", "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 3 inhabitants: Riley, Emily, and Lucas. In Riley's words: \"Lucas is not a knave\". Emily said that Lucas is a knight and Riley is a knight. In a statement by Lucas: \"Emily is a knight or Emily is a knave\". So who is a knight and who is a knave?", "names": ["Riley", "Emily", "Lucas"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Riley is a knight, Emily is a knight, and Lucas is a knight.", "solution_text_format": "(1) Riley is a knight\n(2) Emily is a knight\n(3) 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 Riley 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 Emily is a knight or Emily is a knave.", "Assume Emily is a knight. No contradiction is found in their claim that Lucas is a knight and Riley is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 2)), ('and', ('telling-truth', 2), ('telling-truth', 0)), ('or', ('telling-truth', 1), ('lying', 1)))", "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 3 inhabitants: Jack, Henry, and Elizabeth. Jack commented, \"Henry is a knave and Jack is a knight\". \"Jack is a knight,\" Henry mentioned. Elizabeth commented, \"Henry is a knight\". So who is a knight and who is a knave?", "names": ["Jack", "Henry", "Elizabeth"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false], "solution_text": "Jack is a knave, Henry is a knave, and Elizabeth is a knave.", "solution_text_format": "(1) Jack is a knave\n(2) Henry is a knave\n(3) 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 Jack is a knight. No contradiction is found in their claim that Henry is a knave and Jack is a knight.", "Henry cannot be a knight, because this would contradict the claim of Jack that Henry is a knave and Jack is a knight.", "Henry cannot be a knave, because this would contradict the false claim of their own that Jack 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 knave and Jack is a knight.", "Henry cannot be a knight, because this would contradict the claim of their own that Jack is a knight.", "Assume Henry is a knave. No contradiction is found in their false claim that Jack is a knight.", "Elizabeth cannot be a knight, because this would contradict the claim of their own that Henry is a knight.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Henry is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('telling-truth', 0)), ('telling-truth', 0), ('telling-truth', 1))", "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 3 inhabitants: Aria, Emma, and Avery. \"Avery is a knight,\" Aria declared. Emma remarked, \"Avery is not a knave\". As Avery put it, \"If Avery is a knight then Emma is a knight\". So who is a knight and who is a knave?", "names": ["Aria", "Emma", "Avery"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Aria is a knight, Emma is a knight, and Avery is a knight.", "solution_text_format": "(1) Aria is a knight\n(2) Emma is a knight\n(3) 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 Avery is a knight.", "Assume Avery is a knight. No contradiction is found in their claim that If Avery is a knight then Emma is a knight.", "Assume Emma 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), ('not', ('lying', 2)), ('->', ('telling-truth', 2), ('telling-truth', 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 3 inhabitants: Aiden, Evelyn, and Sebastian. As Aiden put it, \"Sebastian is a knight or Aiden is a knight\". Evelyn told you that Sebastian is a knave and Sebastian is a knight. Sebastian said, \"If Evelyn is a knight then Aiden is a knave.\" So who is a knight and who is a knave?", "names": ["Aiden", "Evelyn", "Sebastian"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Aiden is a knight, Evelyn is a knave, and Sebastian is a knight.", "solution_text_format": "(1) Aiden is a knight\n(2) Evelyn is a knave\n(3) 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 Aiden is a knight. No contradiction is found in their claim that Sebastian is a knight or Aiden is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that If Evelyn is a knight then Aiden is a knave.", "Evelyn cannot be a knight, because this would contradict the claim of their own that Sebastian is a knave and Sebastian is a knight.", "Assume Evelyn 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": "(('or', ('telling-truth', 2), ('telling-truth', 0)), ('and', ('lying', 2), ('telling-truth', 2)), ('->', ('telling-truth', 1), ('lying', 0)))", "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 3 inhabitants: Jack, Mia, and Victoria. As Jack put it, \"Victoria is a knight and Victoria is a knave\". Mia remarked, \"Victoria is a knight\". \"Mia is a knight and Jack is a knight\" - Victoria. So who is a knight and who is a knave?", "names": ["Jack", "Mia", "Victoria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false], "solution_text": "Jack is a knave, Mia is a knave, and Victoria is a knave.", "solution_text_format": "(1) Jack is a knave\n(2) Mia is a knave\n(3) 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": ["Jack cannot be a knight, because this would contradict the claim of their own that Victoria is a knight and Victoria is a knave.", "Assume Jack is a knave. No contradiction is found in their false claim that Victoria is a knight and Victoria is a knave.", "Victoria cannot be a knight, because this would contradict the claim of their own that Mia is a knight and Jack is a knight.", "Assume Victoria is a knave. No contradiction is found in their false claim that Mia is a knight and Jack is a knight.", "Mia cannot be a knight, because this would contradict the claim of their own that Victoria is a knight.", "Assume Mia 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": "(('and', ('telling-truth', 2), ('lying', 2)), ('telling-truth', 2), ('and', ('telling-truth', 1), ('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 3 inhabitants: Victoria, William, and Ella. According to Victoria, \"If Victoria is a knight then Ella is a knight\". According to William, \"Ella is a knight if and only if Victoria is a knave\". Ella said, \"Victoria is a knave or Ella is a knight.\" So who is a knight and who is a knave?", "names": ["Victoria", "William", "Ella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Victoria is a knight, William is a knave, and Ella is a knight.", "solution_text_format": "(1) Victoria is a knight\n(2) William is a knave\n(3) 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 Victoria is a knight. No contradiction is found in their claim that If Victoria is a knight then Ella is a knight.", "Assume Ella is a knight. No contradiction is found in their claim that Victoria is a knave or Ella is a knight.", "William cannot be a knight, because this would contradict the claim of their own that Ella is a knight if and only if Victoria is a knave.", "Assume William is a knave. No contradiction is found in their false claim that Ella is a knight if and only if Victoria is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 0), ('telling-truth', 2)), ('<=>', ('telling-truth', 2), ('lying', 0)), ('or', ('lying', 0), ('telling-truth', 2)))", "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 3 inhabitants: Abigail, Mia, and Jackson. Abigail remarked, \"Mia is not a knave\". Mia stated, \"If Jackson is a knight then Mia is a knight\". In Jackson's words: \"Abigail is a knight and Mia is a knight\". So who is a knight and who is a knave?", "names": ["Abigail", "Mia", "Jackson"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Abigail is a knight, Mia is a knight, and Jackson is a knight.", "solution_text_format": "(1) Abigail is a knight\n(2) Mia is a knight\n(3) 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 Abigail 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 Jackson is a knight then Mia is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that Abigail is a knight and Mia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 1)), ('->', ('telling-truth', 2), ('telling-truth', 1)), ('and', ('telling-truth', 0), ('telling-truth', 1)))", "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 3 inhabitants: Grace, Sophia, and Matthew. \"Sophia is a knight if and only if Matthew is a knave\" - Grace. Sophia stated, \"If Grace is a knave then Sophia is a knight\". In a statement by Matthew: \"Grace is not a knave\". So who is a knight and who is a knave?", "names": ["Grace", "Sophia", "Matthew"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false], "solution_text": "Grace is a knave, Sophia is a knave, and Matthew is a knave.", "solution_text_format": "(1) Grace is a knave\n(2) Sophia is a knave\n(3) 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 Grace is a knight. No contradiction is found in their claim that Sophia is a knight if and only if Matthew is a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that If Grace is a knave then Sophia is a knight.", "Matthew cannot be a knight, because this would contradict the claim of Grace that Sophia is a knight if and only if Matthew is a knave.", "Matthew 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 Matthew, 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 Sophia is a knight.", "We have exhausted all possibilities for 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 knight if and only if Matthew is a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that If Grace is a knave then Sophia is a knight.", "Matthew cannot be a knight, because this would contradict the claim of their own that Grace is not a knave.", "Matthew cannot be a knave, because this would contradict the false claim of Grace that Sophia is a knight if and only if Matthew is a knave.", "We have exhausted all possibilities for Matthew, so let us go back and reconsider Sophia.", "Assume Sophia is a knave. No contradiction is found in their false claim that If Grace is a knave then Sophia is a knight.", "Matthew cannot be a knight, because this would contradict the false claim of Grace that Sophia 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 Grace is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('lying', 2)), ('->', ('lying', 0), ('telling-truth', 1)), ('not', ('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 3 inhabitants: Olivia, Daniel, and Jack. Olivia was heard saying, \"Olivia is a knight if and only if Jack is a knave\". \"Olivia is not a knave\" - Daniel. In a statement by Jack: \"Olivia is not a knave\". So who is a knight and who is a knave?", "names": ["Olivia", "Daniel", "Jack"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false], "solution_text": "Olivia is a knave, Daniel is a knave, and Jack is a knave.", "solution_text_format": "(1) Olivia is a knave\n(2) Daniel is a knave\n(3) 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 Olivia is a knight. No contradiction is found in their claim that Olivia is a knight if and only if Jack is a knave.", "Jack cannot be a knight, because this would contradict the claim of Olivia that Olivia 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 Olivia is not a knave.", "We have exhausted all possibilities for Jack, 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 Jack is a knave.", "Jack cannot be a knight, because this would contradict the false claim of Olivia that Olivia 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 Olivia is not a knave.", "Daniel cannot be a knight, because this would contradict the claim of their own that Olivia is not a knave.", "Assume Daniel 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": "(('<=>', ('telling-truth', 0), ('lying', 2)), ('not', ('lying', 0)), ('not', ('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 3 inhabitants: Olivia, Charlotte, and Victoria. Olivia asserted: \"Charlotte is a knave if and only if Charlotte is a knight\". Charlotte expressed that Victoria is a knight and Olivia is a knave. \"Olivia is a knave\" - Victoria. So who is a knight and who is a knave?", "names": ["Olivia", "Charlotte", "Victoria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Olivia is a knave, Charlotte is a knight, and Victoria is a knight.", "solution_text_format": "(1) Olivia is a knave\n(2) Charlotte is a knight\n(3) 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": ["Olivia cannot be a knight, because this would contradict the claim of their own that Charlotte is a knave if and only if Charlotte is a knight.", "Assume Olivia is a knave. No contradiction is found in their false claim that Charlotte is a knave if and only if Charlotte is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that Victoria is a knight and Olivia is a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that Olivia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('telling-truth', 1)), ('and', ('telling-truth', 2), ('lying', 0)), ('lying', 0))", "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 3 inhabitants: Sofia, Benjamin, and Elizabeth. \"Benjamin is not a knave,\" Sofia claimed. \"Benjamin is a knight if and only if Elizabeth is a knave\" - Benjamin. In Elizabeth's words: \"Benjamin is a knave\". So who is a knight and who is a knave?", "names": ["Sofia", "Benjamin", "Elizabeth"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Sofia is a knight, Benjamin is a knight, and Elizabeth is a knave.", "solution_text_format": "(1) Sofia is a knight\n(2) Benjamin is a knight\n(3) 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 Sofia 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 Benjamin is a knight if and only if Elizabeth is a knave.", "Elizabeth cannot be a knight, because this would contradict the claim of Benjamin that Benjamin 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 Benjamin is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 1)), ('<=>', ('telling-truth', 1), ('lying', 2)), ('lying', 1))", "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 3 inhabitants: Alexander, Victoria, and Benjamin. Alexander said, \"Victoria is a knave and Benjamin is a knight.\" According to Victoria, \"Victoria is a knight if and only if Benjamin is a knave\". Benjamin said that If Victoria is a knight then Victoria is a knave. So who is a knight and who is a knave?", "names": ["Alexander", "Victoria", "Benjamin"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Alexander is a knave, Victoria is a knight, and Benjamin is a knave.", "solution_text_format": "(1) Alexander is a knave\n(2) Victoria is a knight\n(3) 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 Alexander is a knight. No contradiction is found in their claim that Victoria is a knave and Benjamin is a knight.", "Victoria cannot be a knight, because this would contradict the claim of Alexander that Victoria is a knave and Benjamin is a knight.", "Assume Victoria is a knave. No contradiction is found in their false claim that Victoria is a knight if and only if Benjamin is a knave.", "Benjamin cannot be a knight, because this would contradict the false claim of Victoria that Victoria is a knight if and only if Benjamin is a knave.", "Benjamin cannot be a knave, because this would contradict the claim of Alexander that Victoria is a knave and Benjamin is a knight.", "We have exhausted all possibilities for Benjamin and 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 knave and Benjamin is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that Victoria is a knight if and only if Benjamin is a knave.", "Benjamin cannot be a knight, because this would contradict the claim of Victoria that Victoria 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 If Victoria is a knight then Victoria is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('telling-truth', 2)), ('<=>', ('telling-truth', 1), ('lying', 2)), ('->', ('telling-truth', 1), ('lying', 1)))", "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 3 inhabitants: Samuel, Mia, and Noah. In a statement by Samuel: \"Samuel is a knight\". Mia expressed that If Mia is a knight then Noah is a knight. Noah asserted: \"Mia is a knight if and only if Samuel is a knight\". So who is a knight and who is a knave?", "names": ["Samuel", "Mia", "Noah"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Samuel is a knight, Mia is a knight, and Noah is a knight.", "solution_text_format": "(1) Samuel is a knight\n(2) Mia is a knight\n(3) 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 Samuel is a knight. No contradiction is found in their claim that Samuel is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that If Mia is a knight then Noah is a knight.", "Assume Noah is a knight. No contradiction is found in their claim that Mia is a knight if and only if Samuel is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 0), ('->', ('telling-truth', 1), ('telling-truth', 2)), ('<=>', ('telling-truth', 1), ('telling-truth', 0)))", "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 3 inhabitants: Jackson, Sofia, and Ava. \"Sofia is a knave if and only if Ava is a knave,\" Jackson declared. Sofia said, \"Ava is a knave.\" Ava noted, \"If Ava is a knight then Jackson is a knave\". So who is a knight and who is a knave?", "names": ["Jackson", "Sofia", "Ava"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Jackson is a knave, Sofia is a knave, and Ava is a knight.", "solution_text_format": "(1) Jackson is a knave\n(2) Sofia is a knave\n(3) 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 Jackson is a knight. No contradiction is found in their claim that Sofia is a knave if and only if Ava is a knave.", "Assume Sofia 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 Sofia that Ava is a knave.", "Ava cannot be a knave, because this would contradict the claim of Jackson that Sofia 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 Sofia.", "Assume Sofia is a knave. No contradiction is found in their false claim that Ava is a knave.", "Ava cannot be a knight, because this would contradict the claim of Jackson that Sofia is a knave if and only if Ava is a knave.", "Ava cannot be a knave, because this would contradict the false claim of Sofia that Ava is a knave.", "We have exhausted all possibilities for Ava and Sofia, so let us go back and reconsider Jackson.", "Assume Jackson is a knave. No contradiction is found in their false claim that Sofia is a knave if and only if Ava is a knave.", "Assume Sofia 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 false claim of Jackson that Sofia 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 If Ava is a knight then Jackson is a knave.", "We have exhausted all possibilities for Ava, so let us go back and reconsider Sofia.", "Assume Sofia 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 Ava is a knight then Jackson is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('lying', 2)), ('lying', 2), ('->', ('telling-truth', 2), ('lying', 0)))", "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 3 inhabitants: Mason, Owen, and Scarlett. Mason said, \"Owen is a knave if and only if Owen is a knight.\" Owen remarked, \"Scarlett is a knight or Mason is a knave\". \"Mason is a knight or Owen is a knight,\" Scarlett mentioned. So who is a knight and who is a knave?", "names": ["Mason", "Owen", "Scarlett"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Mason is a knave, Owen is a knight, and Scarlett is a knight.", "solution_text_format": "(1) Mason is a knave\n(2) Owen is a knight\n(3) 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": ["Mason 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 Mason 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 Scarlett is a knight or Mason is a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that Mason is a knight or Owen is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('telling-truth', 1)), ('or', ('telling-truth', 2), ('lying', 0)), ('or', ('telling-truth', 0), ('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 3 inhabitants: Henry, Benjamin, and Victoria. Henry was heard saying, \"Victoria is a knight if and only if Benjamin is a knight\". Benjamin said, \"Henry is a knight if and only if Henry is a knave.\" \"Henry is a knave or Benjamin is a knave\" - Victoria. So who is a knight and who is a knave?", "names": ["Henry", "Benjamin", "Victoria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Henry is a knave, Benjamin is a knave, and Victoria is a knight.", "solution_text_format": "(1) Henry is a knave\n(2) Benjamin is a knave\n(3) 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 Henry is a knight. No contradiction is found in their claim that Victoria is a knight if and only if Benjamin is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that Henry is a knave or Benjamin 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.", "Benjamin cannot be a knave, because this would contradict the claim of Henry that Victoria 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 Victoria.", "Assume Victoria is a knave. No contradiction is found in their false claim that Henry is a knave or Benjamin is a knave.", "Benjamin cannot be a knight, because this would contradict the claim of Henry that Victoria is a knight if and only if Benjamin is a knight.", "Benjamin cannot be a knave, because this would contradict the false claim of Victoria that Henry is a knave or Benjamin is a knave.", "We have exhausted all possibilities for Benjamin and Victoria, so let us go back and reconsider Henry.", "Assume Henry is a knave. No contradiction is found in their false claim that Victoria is a knight if and only if Benjamin is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that Henry is a knave or Benjamin is a knave.", "Benjamin cannot be a knight, because this would contradict the false claim of Henry that Victoria 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 Henry is a knight if and only if Henry is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 2), ('telling-truth', 1)), ('<=>', ('telling-truth', 0), ('lying', 0)), ('or', ('lying', 0), ('lying', 1)))", "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 3 inhabitants: Avery, Riley, and Emma. Avery expressed that Riley is a knight. In Riley's words: \"Avery is a knave and Riley is a knight\". Emma said, \"Riley is a knight and Avery is a knave.\" So who is a knight and who is a knave?", "names": ["Avery", "Riley", "Emma"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false], "solution_text": "Avery is a knave, Riley is a knave, and Emma is a knave.", "solution_text_format": "(1) Avery is a knave\n(2) Riley is a knave\n(3) 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 Avery 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 Avery is a knave and Riley is a knight.", "Riley cannot be a knave, because this would contradict the claim of Avery that Riley is a knight.", "We have exhausted all possibilities for Riley, so let us go back and reconsider Avery.", "Assume Avery 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 Avery that Riley is a knight.", "Assume Riley is a knave. No contradiction is found in their false claim that Avery is a knave and Riley is a knight.", "Emma cannot be a knight, because this would contradict the claim of their own that Riley is a knight and Avery is a knave.", "Assume Emma is a knave. No contradiction is found in their false claim that Riley is a knight and Avery is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 1), ('and', ('lying', 0), ('telling-truth', 1)), ('and', ('telling-truth', 1), ('lying', 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 3 inhabitants: Scarlett, Isabella, and Amelia. Scarlett asserted: \"If Scarlett is a knight then Amelia is a knight\". \"If Scarlett is a knight then Isabella is a knight,\" Isabella claimed. Amelia asserted: \"Isabella is not a knave\". So who is a knight and who is a knave?", "names": ["Scarlett", "Isabella", "Amelia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Scarlett is a knight, Isabella is a knight, and Amelia is a knight.", "solution_text_format": "(1) Scarlett is a knight\n(2) Isabella is a knight\n(3) 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 Scarlett is a knight. No contradiction is found in their claim that If Scarlett is a knight then Amelia is a knight.", "Assume Amelia 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 Scarlett is a knight then Isabella is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 0), ('telling-truth', 2)), ('->', ('telling-truth', 0), ('telling-truth', 1)), ('not', ('lying', 1)))", "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 3 inhabitants: Zoey, Sofia, and Grace. As Zoey put it, \"Grace is a knight and Grace is a knave\". According to Sofia, \"Grace is a knight or Sofia is a knight\". \"Zoey is a knight or Sofia is a knave\" - Grace. So who is a knight and who is a knave?", "names": ["Zoey", "Sofia", "Grace"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Zoey is a knave, Sofia is a knight, and Grace is a knave.", "solution_text_format": "(1) Zoey is a knave\n(2) Sofia is a knight\n(3) 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": ["Zoey cannot be a knight, because this would contradict the claim of their own that Grace is a knight and Grace is a knave.", "Assume Zoey is a knave. No contradiction is found in their false claim that Grace is a knight and Grace is a knave.", "Assume Grace is a knight. No contradiction is found in their claim that Zoey is a knight or Sofia is a knave.", "Sofia cannot be a knight, because this would contradict the claim of Grace that Zoey is a knight or Sofia is a knave.", "Sofia cannot be a knave, because this would contradict the false claim of their own that Grace is a knight or Sofia is a knight.", "We have exhausted all possibilities for Sofia, so let us go back and reconsider Grace.", "Assume Grace is a knave. No contradiction is found in their false claim that Zoey is a knight or Sofia is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that Grace is a knight or Sofia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 2), ('lying', 2)), ('or', ('telling-truth', 2), ('telling-truth', 1)), ('or', ('telling-truth', 0), ('lying', 1)))", "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 3 inhabitants: Victoria, Noah, and Matthew. As Victoria put it, \"Noah is a knight\". Noah said that Victoria is a knight if and only if Matthew is a knave. In Matthew's words: \"Victoria is a knight or Matthew is a knight\". So who is a knight and who is a knave?", "names": ["Victoria", "Noah", "Matthew"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false], "solution_text": "Victoria is a knave, Noah is a knave, and Matthew is a knave.", "solution_text_format": "(1) Victoria is a knave\n(2) Noah is a knave\n(3) 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 Noah is a knight.", "Assume Noah is a knight. No contradiction is found in their claim that Victoria is a knight if and only if Matthew is a knave.", "Matthew cannot be a knight, because this would contradict the claim of Noah that Victoria is a knight if and only if Matthew is a knave.", "Matthew cannot be a knave, because this would contradict the false claim of their own that Victoria is a knight or Matthew is a knight.", "We have exhausted all possibilities for Matthew, so let us go back and reconsider Noah.", "Noah cannot be a knave, because this would contradict the claim of Victoria that Noah is a knight.", "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 a knight.", "Noah cannot be a knight, because this would contradict the false claim of Victoria that Noah is a knight.", "Assume Noah is a knave. No contradiction is found in their false claim that Victoria is a knight if and only if Matthew is a knave.", "Matthew cannot be a knight, because this would contradict the false claim of Noah that Victoria 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 Victoria is a knight or Matthew is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 1), ('<=>', ('telling-truth', 0), ('lying', 2)), ('or', ('telling-truth', 0), ('telling-truth', 2)))", "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 3 inhabitants: Jackson, Oliver, and Sophia. In Jackson's words: \"Oliver is not a knight\". In Oliver's words: \"Sophia is not a knight\". \"Jackson is a knave and Oliver is a knave,\" Sophia declared. So who is a knight and who is a knave?", "names": ["Jackson", "Oliver", "Sophia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Jackson is a knave, Oliver is a knight, and Sophia is a knave.", "solution_text_format": "(1) Jackson is a knave\n(2) Oliver is a knight\n(3) 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 Jackson 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 Jackson that Oliver is not a knight.", "Assume Oliver is a knave. No contradiction is found in their false claim that Sophia is not a knight.", "Sophia cannot be a knight, because this would contradict the claim of their own that Jackson is a knave and Oliver is a knave.", "Sophia cannot be a knave, because this would contradict the false claim of Oliver that Sophia is not a knight.", "We have exhausted all possibilities for Sophia and 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 not a knight.", "Assume Oliver 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 Oliver that Sophia is not a knight.", "Assume Sophia is a knave. No contradiction is found in their false claim that Jackson is a knave and Oliver is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('not', ('telling-truth', 2)), ('and', ('lying', 0), ('lying', 1)))", "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 3 inhabitants: Jacob, Chloe, and Abigail. Jacob expressed that Abigail is a knight. As Chloe put it, \"Jacob is a knave and Abigail is a knight\". Abigail told you that Jacob is a knight if and only if Jacob is a knave. So who is a knight and who is a knave?", "names": ["Jacob", "Chloe", "Abigail"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false], "solution_text": "Jacob is a knave, Chloe is a knave, and Abigail is a knave.", "solution_text_format": "(1) Jacob is a knave\n(2) Chloe is a knave\n(3) 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 Jacob is a knight. No contradiction is found in their claim that Abigail is a knight.", "Abigail cannot be a knight, because this would contradict the claim of their own that Jacob is a knight if and only if Jacob is a knave.", "Abigail cannot be a knave, because this would contradict the claim of Jacob that Abigail is a knight.", "We have exhausted all possibilities for Abigail, so let us go back and reconsider Jacob.", "Assume Jacob 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 Jacob that Abigail is a knight.", "Assume Abigail is a knave. No contradiction is found in their false claim that Jacob is a knight if and only if Jacob is a knave.", "Chloe cannot be a knight, because this would contradict the claim of their own that Jacob is a knave and Abigail is a knight.", "Assume Chloe is a knave. No contradiction is found in their false claim that Jacob is a knave and Abigail is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 2), ('and', ('lying', 0), ('telling-truth', 2)), ('<=>', ('telling-truth', 0), ('lying', 0)))", "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 3 inhabitants: Jack, Samuel, and Michael. Jack commented, \"If Michael is a knight then Samuel is a knave\". Samuel asserted: \"Michael is a knave\". \"Jack is not a knave,\" Michael declared. So who is a knight and who is a knave?", "names": ["Jack", "Samuel", "Michael"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Jack is a knight, Samuel is a knave, and Michael is a knight.", "solution_text_format": "(1) Jack is a knight\n(2) Samuel is a knave\n(3) 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 If Michael is a knight then Samuel is a knave.", "Assume Michael is a knight. No contradiction is found in their claim that Jack is not a knave.", "Samuel cannot be a knight, because this would contradict the claim of Jack that If Michael is a knight then Samuel is a knave.", "Assume Samuel is a knave. No contradiction is found in their false claim that Michael is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 2), ('lying', 1)), ('lying', 2), ('not', ('lying', 0)))", "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 3 inhabitants: Sofia, Emily, and Mason. Sofia expressed that Mason is a knight and Mason is a knave. Emily expressed that Sofia is not a knight. In a statement by Mason: \"If Sofia is a knight then Emily is a knave\". So who is a knight and who is a knave?", "names": ["Sofia", "Emily", "Mason"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Sofia is a knave, Emily is a knight, and Mason is a knight.", "solution_text_format": "(1) Sofia is a knave\n(2) Emily is a knight\n(3) 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": ["Sofia cannot be a knight, because this would contradict the claim of their own that Mason is a knight and Mason is a knave.", "Assume Sofia is a knave. No contradiction is found in their false claim that Mason is a knight and Mason is a knave.", "Assume Mason is a knight. No contradiction is found in their claim that If Sofia is a knight then Emily is a knave.", "Assume Emily 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": "(('and', ('telling-truth', 2), ('lying', 2)), ('not', ('telling-truth', 0)), ('->', ('telling-truth', 0), ('lying', 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 3 inhabitants: Michael, Ava, and Mason. Michael asserted: \"Ava is a knave if and only if Mason is a knave\". Ava told you that Mason is not a knight. Mason remarked, \"Michael is a knight\". So who is a knight and who is a knave?", "names": ["Michael", "Ava", "Mason"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Michael is a knave, Ava is a knight, and Mason is a knave.", "solution_text_format": "(1) Michael is a knave\n(2) Ava is a knight\n(3) 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 Michael is a knight. No contradiction is found in their claim that Ava is a knave if and only if Mason is a knave.", "Assume Ava 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 Ava that Mason is not a knight.", "Mason cannot be a knave, because this would contradict the claim of Michael that Ava 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 Ava.", "Assume Ava is a knave. No contradiction is found in their false claim that Mason is not a knight.", "Mason cannot be a knight, because this would contradict the claim of Michael that Ava is a knave if and only if Mason is a knave.", "Mason cannot be a knave, because this would contradict the false claim of Ava that Mason is not a knight.", "We have exhausted all possibilities for Mason and Ava, so let us go back and reconsider Michael.", "Assume Michael is a knave. No contradiction is found in their false claim that Ava is a knave if and only if Mason is a knave.", "Assume Ava 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 false claim of Michael that Ava is a knave if and only if Mason is a knave.", "Assume Mason is a knave. No contradiction is found in their false claim that Michael is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('lying', 2)), ('not', ('telling-truth', 2)), ('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 3 inhabitants: Ella, Aiden, and Emily. Ella noted, \"Emily is a knave if and only if Aiden is a knight\". \"If Ella is a knight then Emily is a knight,\" Aiden declared. In a statement by Emily: \"Aiden is a knight or Emily is a knight\". So who is a knight and who is a knave?", "names": ["Ella", "Aiden", "Emily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Ella is a knave, Aiden is a knight, and Emily is a knight.", "solution_text_format": "(1) Ella is a knave\n(2) Aiden is a knight\n(3) 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 Ella is a knight. No contradiction is found in their claim that Emily is a knave if and only if Aiden is a knight.", "Assume Emily is a knight. No contradiction is found in their claim that Aiden is a knight or Emily is a knight.", "Aiden cannot be a knight, because this would contradict the claim of Ella that Emily 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 Ella is a knight then Emily is a knight.", "We have exhausted all possibilities for Aiden, so let us go back and reconsider Emily.", "Assume Emily is a knave. No contradiction is found in their false claim that Aiden is a knight or Emily is a knight.", "Aiden cannot be a knight, because this would contradict the claim of their own that If Ella is a knight then Emily is a knight.", "Aiden cannot be a knave, because this would contradict the claim of Ella that Emily is a knave if and only if Aiden is a knight.", "We have exhausted all possibilities for Aiden and Emily, so let us go back and reconsider Ella.", "Assume Ella is a knave. No contradiction is found in their false claim that Emily is a knave if and only if Aiden is a knight.", "Assume Emily is a knight. No contradiction is found in their claim that Aiden is a knight or Emily is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that If Ella is a knight then Emily is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 2), ('telling-truth', 1)), ('->', ('telling-truth', 0), ('telling-truth', 2)), ('or', ('telling-truth', 1), ('telling-truth', 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 3 inhabitants: Henry, Elizabeth, and Ella. Henry said that Elizabeth is not a knight. In a statement by Elizabeth: \"If Elizabeth is a knight then Ella is a knight\". Ella stated, \"Elizabeth is a knight or Elizabeth is a knave\". So who is a knight and who is a knave?", "names": ["Henry", "Elizabeth", "Ella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Henry is a knave, Elizabeth is a knight, and Ella is a knight.", "solution_text_format": "(1) Henry is a knave\n(2) Elizabeth is a knight\n(3) 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 Henry 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 Henry that Elizabeth is not a knight.", "Elizabeth cannot be a knave, because this would contradict the false claim of their own that If Elizabeth is a knight then Ella is a knight.", "We have exhausted all possibilities for Elizabeth, so let us go back and reconsider Henry.", "Assume Henry 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 If Elizabeth is a knight then Ella is a knight.", "Assume Ella 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', ('telling-truth', 1)), ('->', ('telling-truth', 1), ('telling-truth', 2)), ('or', ('telling-truth', 1), ('lying', 1)))", "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 3 inhabitants: Sophia, Mia, and Noah. Sophia noted, \"Mia is a knight if and only if Mia is a knave\". Mia remarked, \"Noah is a knave or Sophia is a knave\". Noah stated, \"If Mia is a knight then Sophia is a knave\". So who is a knight and who is a knave?", "names": ["Sophia", "Mia", "Noah"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Sophia is a knave, Mia is a knight, and Noah is a knight.", "solution_text_format": "(1) Sophia is a knave\n(2) Mia is a knight\n(3) 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": ["Sophia cannot be a knight, because this would contradict the claim of their own that Mia is a knight if and only if Mia is a knave.", "Assume Sophia is a knave. No contradiction is found in their false claim that Mia is a knight if and only if Mia is a knave.", "Assume Mia is a knight. No contradiction is found in their claim that Noah is a knave or Sophia is a knave.", "Assume Noah is a knight. No contradiction is found in their claim that If Mia is a knight then Sophia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('lying', 1)), ('or', ('lying', 2), ('lying', 0)), ('->', ('telling-truth', 1), ('lying', 0)))", "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 3 inhabitants: Grace, Sofia, and Jack. \"Jack is a knave and Sofia is a knight,\" Grace declared. Sofia was heard saying, \"Grace is a knight and Grace is a knave\". According to Jack, \"Sofia is not a knight\". So who is a knight and who is a knave?", "names": ["Grace", "Sofia", "Jack"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Grace is a knave, Sofia is a knave, and Jack is a knight.", "solution_text_format": "(1) Grace is a knave\n(2) Sofia is a knave\n(3) 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 Grace is a knight. No contradiction is found in their claim that Jack is a knave and Sofia is a knight.", "Jack cannot be a knight, because this would contradict the claim of Grace that Jack is a knave and Sofia is a knight.", "Assume Jack 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 Grace is a knight and Grace is a knave.", "Sofia cannot be a knave, because this would contradict the claim of Grace that Jack is a knave and Sofia is a knight.", "We have exhausted all possibilities for Sofia and Jack, so let us go back and reconsider Grace.", "Assume Grace is a knave. No contradiction is found in their false claim that Jack is a knave and Sofia is a knight.", "Assume Jack 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 their own that Grace is a knight and Grace is a knave.", "Assume Sofia is a knave. No contradiction is found in their false claim that Grace is a knight and Grace is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('telling-truth', 1)), ('and', ('telling-truth', 0), ('lying', 0)), ('not', ('telling-truth', 1)))", "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 3 inhabitants: Charlotte, Riley, and Michael. \"Riley is a knave and Riley is a knight,\" Charlotte mentioned. According to Riley, \"Michael is a knight and Michael is a knave\". Michael stated, \"Charlotte is a knave or Charlotte is a knight\". So who is a knight and who is a knave?", "names": ["Charlotte", "Riley", "Michael"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Charlotte is a knave, Riley is a knave, and Michael is a knight.", "solution_text_format": "(1) Charlotte is a knave\n(2) Riley is a knave\n(3) 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": ["Charlotte cannot be a knight, because this would contradict the claim of their own that Riley is a knave and Riley is a knight.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Riley is a knave and Riley is a knight.", "Riley cannot be a knight, because this would contradict the claim of their own that Michael is a knight and Michael is a knave.", "Assume Riley 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 Charlotte is a knave or Charlotte is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('telling-truth', 1)), ('and', ('telling-truth', 2), ('lying', 2)), ('or', ('lying', 0), ('telling-truth', 0)))", "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 3 inhabitants: Grace, Sophia, and Aurora. As Grace put it, \"If Sophia is a knight then Aurora is a knave\". Sophia asserted: \"Sophia is a knight or Grace is a knave\". \"Grace is a knave if and only if Aurora is a knight,\" Aurora claimed. So who is a knight and who is a knave?", "names": ["Grace", "Sophia", "Aurora"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Grace is a knave, Sophia is a knight, and Aurora is a knight.", "solution_text_format": "(1) Grace is a knave\n(2) Sophia is a knight\n(3) 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 Grace is a knight. No contradiction is found in their claim that If Sophia is a knight then Aurora is a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that Sophia is a knight or Grace is a knave.", "Aurora cannot be a knight, because this would contradict the claim of Grace that If Sophia is a knight then Aurora is a knave.", "Aurora cannot be a knave, because this would contradict the false claim of their own that Grace is a knave if and only if Aurora is a knight.", "We have exhausted all possibilities for Aurora, 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 or Grace is a knave.", "Aurora cannot be a knight, because this would contradict the claim of their own that Grace is a knave if and only if Aurora is a knight.", "Aurora cannot be a knave, because this would contradict the false claim of their own that Grace is a knave if and only if Aurora is a knight.", "We have exhausted all possibilities for Aurora and Sophia, so let us go back and reconsider Grace.", "Assume Grace is a knave. No contradiction is found in their false claim that If Sophia is a knight then Aurora is a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that Sophia is a knight or Grace is a knave.", "Assume Aurora is a knight. No contradiction is found in their claim that Grace is a knave if and only if Aurora is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 1), ('lying', 2)), ('or', ('telling-truth', 1), ('lying', 0)), ('<=>', ('lying', 0), ('telling-truth', 2)))", "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 3 inhabitants: Ethan, Matthew, and Jacob. Ethan said, \"Ethan is a knight and Matthew is a knave.\" Matthew remarked, \"Ethan is not a knave\". Jacob told you that Matthew is not a knave. So who is a knight and who is a knave?", "names": ["Ethan", "Matthew", "Jacob"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false], "solution_text": "Ethan is a knave, Matthew is a knave, and Jacob is a knave.", "solution_text_format": "(1) Ethan is a knave\n(2) Matthew is a knave\n(3) 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 Ethan is a knight. No contradiction is found in their claim that Ethan is a knight and Matthew is a knave.", "Matthew cannot be a knight, because this would contradict the claim of Ethan that Ethan is a knight and Matthew is a knave.", "Matthew 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 Matthew, 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 and Matthew is a knave.", "Matthew cannot be a knight, because this would contradict the claim of their own that Ethan is not a knave.", "Assume Matthew is a knave. No contradiction is found in their false claim that Ethan is not a knave.", "Jacob cannot be a knight, because this would contradict the claim of their own that Matthew is not a knave.", "Assume Jacob 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": "(('and', ('telling-truth', 0), ('lying', 1)), ('not', ('lying', 0)), ('not', ('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 3 inhabitants: Aurora, Lucas, and Matthew. In a statement by Aurora: \"Aurora is a knight if and only if Matthew is a knave\". In a statement by Lucas: \"Aurora is a knight or Matthew is a knave\". Matthew asserted: \"Aurora is a knight\". So who is a knight and who is a knave?", "names": ["Aurora", "Lucas", "Matthew"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Aurora is a knave, Lucas is a knight, and Matthew is a knave.", "solution_text_format": "(1) Aurora is a knave\n(2) Lucas is a knight\n(3) 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 Aurora is a knight. No contradiction is found in their claim that Aurora is a knight if and only if Matthew is a knave.", "Matthew cannot be a knight, because this would contradict the claim of Aurora that Aurora is a knight 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 a knight.", "We have exhausted all possibilities for Matthew, 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 Matthew is a knave.", "Matthew cannot be a knight, because this would contradict the false claim of Aurora that Aurora 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 Aurora is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that Aurora is a knight or Matthew is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 0), ('lying', 2)), ('or', ('telling-truth', 0), ('lying', 2)), ('telling-truth', 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 3 inhabitants: Jacob, Aiden, and Amelia. Jacob commented, \"Aiden is a knight\". Aiden asserted: \"Jacob is a knight or Aiden is a knight\". Amelia expressed that If Amelia is a knight then Jacob is a knave. So who is a knight and who is a knave?", "names": ["Jacob", "Aiden", "Amelia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Jacob is a knave, Aiden is a knave, and Amelia is a knight.", "solution_text_format": "(1) Jacob is a knave\n(2) Aiden is a knave\n(3) 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 Jacob 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 Jacob is a knight or Aiden is a knight.", "Amelia cannot be a knight, because this would contradict the claim of their own that If Amelia is a knight then Jacob is a knave.", "Amelia cannot be a knave, because this would contradict the false claim of their own that If Amelia is a knight then Jacob is a knave.", "We have exhausted all possibilities for Amelia, so let us go back and reconsider Aiden.", "Aiden cannot be a knave, because this would contradict the claim of Jacob that Aiden is a knight.", "We have exhausted all possibilities for Aiden, so let us go back and reconsider Jacob.", "Assume Jacob 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 Jacob that Aiden is a knight.", "Assume Aiden is a knave. No contradiction is found in their false claim that Jacob is a knight or Aiden is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that If Amelia is a knight then Jacob is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 1), ('or', ('telling-truth', 0), ('telling-truth', 1)), ('->', ('telling-truth', 2), ('lying', 0)))", "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 3 inhabitants: Samuel, Logan, and William. \"William is a knave or Logan is a knight\" - Samuel. Logan asserted: \"If Samuel is a knave then William is a knave\". In William's words: \"If Samuel is a knave then Samuel is a knight\". So who is a knight and who is a knave?", "names": ["Samuel", "Logan", "William"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Samuel is a knight, Logan is a knight, and William is a knight.", "solution_text_format": "(1) Samuel is a knight\n(2) Logan is a knight\n(3) 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 Logan is a knight.", "Assume William is a knight. No contradiction is found in their claim that If Samuel is a knave then Samuel is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that If Samuel is a knave then William is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 2), ('telling-truth', 1)), ('->', ('lying', 0), ('lying', 2)), ('->', ('lying', 0), ('telling-truth', 0)))", "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 3 inhabitants: Lucas, Joseph, and Ava. Lucas asserted: \"If Joseph is a knight then Ava is a knight\". \"Lucas is a knight and Lucas is a knave,\" Joseph claimed. \"Joseph is a knave or Lucas is a knight,\" Ava declared. So who is a knight and who is a knave?", "names": ["Lucas", "Joseph", "Ava"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Lucas is a knight, Joseph is a knave, and Ava is a knight.", "solution_text_format": "(1) Lucas is a knight\n(2) Joseph is a knave\n(3) 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 Lucas is a knight. No contradiction is found in their claim that If Joseph is a knight then Ava is a knight.", "Joseph cannot be a knight, because this would contradict the claim of their own that Lucas is a knight and Lucas is a knave.", "Assume Joseph is a knave. No contradiction is found in their false claim that Lucas is a knight and Lucas is a knave.", "Assume Ava 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": "(('->', ('telling-truth', 1), ('telling-truth', 2)), ('and', ('telling-truth', 0), ('lying', 0)), ('or', ('lying', 1), ('telling-truth', 0)))", "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 3 inhabitants: Sebastian, Evelyn, and Liam. Sebastian told you that Liam is a knight and Evelyn is a knight. \"Sebastian is a knave,\" Evelyn mentioned. Liam was heard saying, \"Evelyn is a knave\". So who is a knight and who is a knave?", "names": ["Sebastian", "Evelyn", "Liam"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Sebastian is a knave, Evelyn is a knight, and Liam is a knave.", "solution_text_format": "(1) Sebastian is a knave\n(2) Evelyn is a knight\n(3) 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 Sebastian is a knight. No contradiction is found in their claim that Liam is a knight and Evelyn is a knight.", "Assume Liam 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 Sebastian is a knave.", "Evelyn cannot be a knave, because this would contradict the claim of Sebastian that Liam is a knight and Evelyn is a knight.", "We have exhausted all possibilities for Evelyn, so let us go back and reconsider Liam.", "Liam cannot be a knave, because this would contradict the claim of Sebastian that Liam is a knight and Evelyn is a knight.", "We have exhausted all possibilities for Liam, 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 Evelyn is a knight.", "Assume Liam 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 false claim of Sebastian that Liam is a knight and Evelyn is a knight.", "Evelyn 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 Evelyn, so let us go back and reconsider Liam.", "Assume Liam 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 Sebastian is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 2), ('telling-truth', 1)), ('lying', 0), ('lying', 1))", "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 3 inhabitants: Riley, Henry, and Mia. Riley noted, \"Henry is a knight if and only if Mia is a knight\". In a statement by Henry: \"If Mia is a knave then Riley is a knight\". In Mia's words: \"Riley is a knight\". So who is a knight and who is a knave?", "names": ["Riley", "Henry", "Mia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Riley is a knight, Henry is a knight, and Mia is a knight.", "solution_text_format": "(1) Riley is a knight\n(2) Henry is a knight\n(3) 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 Riley is a knight. No contradiction is found in their claim that Henry is a knight if and only if Mia is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that If Mia is a knave then Riley is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that Riley is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('telling-truth', 2)), ('->', ('lying', 2), ('telling-truth', 0)), ('telling-truth', 0))", "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 3 inhabitants: Chloe, Lily, and Alexander. Chloe expressed that Lily is not a knight. Lily expressed that Lily is a knight or Chloe is a knight. Alexander asserted: \"If Alexander is a knight then Lily is a knight\". So who is a knight and who is a knave?", "names": ["Chloe", "Lily", "Alexander"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Chloe is a knave, Lily is a knight, and Alexander is a knight.", "solution_text_format": "(1) Chloe is a knave\n(2) Lily is a knight\n(3) 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 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.", "Lily cannot be a knave, because this would contradict the false claim of their own that Lily is a knight or Chloe is a knight.", "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 not a knight.", "Assume Lily is a knight. No contradiction is found in their claim that Lily is a knight or Chloe is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that If Alexander is a knight then Lily is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('or', ('telling-truth', 1), ('telling-truth', 0)), ('->', ('telling-truth', 2), ('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 3 inhabitants: Aiden, Henry, and Benjamin. In Aiden's words: \"Henry is a knight if and only if Aiden is a knight\". \"Aiden is a knave if and only if Benjamin is a knight,\" Henry mentioned. \"Aiden is a knight if and only if Benjamin is a knight,\" Benjamin mentioned. So who is a knight and who is a knave?", "names": ["Aiden", "Henry", "Benjamin"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Aiden is a knight, Henry is a knight, and Benjamin is a knave.", "solution_text_format": "(1) Aiden is a knight\n(2) Henry is a knight\n(3) 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 Aiden is a knight. No contradiction is found in their claim that Henry is a knight if and only if Aiden is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that Aiden is a knave if and only if Benjamin is a knight.", "Benjamin cannot be a knight, because this would contradict the claim of Henry that Aiden is a knave if and only if Benjamin is a knight.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Aiden is a knight if and only if Benjamin is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('telling-truth', 0)), ('<=>', ('lying', 0), ('telling-truth', 2)), ('<=>', ('telling-truth', 0), ('telling-truth', 2)))", "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 3 inhabitants: Jack, Lily, and Aria. As Jack put it, \"Aria is a knight if and only if Jack is a knight\". As Lily put it, \"Aria is a knave\". Aria was heard saying, \"Jack is a knight\". So who is a knight and who is a knave?", "names": ["Jack", "Lily", "Aria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Jack is a knight, Lily is a knave, and Aria is a knight.", "solution_text_format": "(1) Jack is a knight\n(2) Lily is a knave\n(3) 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 Jack is a knight. No contradiction is found in their claim that Aria is a knight if and only if Jack is a knight.", "Assume Aria is a knight. No contradiction is found in their claim that Jack is a knight.", "Lily cannot be a knight, because this would contradict the claim of their own that Aria is a knave.", "Assume Lily 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": "(('<=>', ('telling-truth', 2), ('telling-truth', 0)), ('lying', 2), ('telling-truth', 0))", "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 3 inhabitants: Scarlett, Aiden, and Lucas. \"Aiden is a knight,\" Scarlett mentioned. \"Lucas is not a knight,\" Aiden declared. In a statement by Lucas: \"Scarlett is a knave or Scarlett is a knight\". So who is a knight and who is a knave?", "names": ["Scarlett", "Aiden", "Lucas"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Scarlett is a knave, Aiden is a knave, and Lucas is a knight.", "solution_text_format": "(1) Scarlett is a knave\n(2) Aiden is a knave\n(3) 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 Scarlett 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 Lucas is not a knight.", "Lucas cannot be a knight, because this would contradict the claim of Aiden that Lucas is not a knight.", "Lucas cannot be a knave, because this would contradict the false claim of their own that Scarlett is a knave or Scarlett is a knight.", "We have exhausted all possibilities for Lucas, so let us go back and reconsider Aiden.", "Aiden cannot be a knave, because this would contradict the claim of Scarlett that Aiden is a knight.", "We have exhausted all possibilities for Aiden, so let us go back and reconsider Scarlett.", "Assume Scarlett 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 Scarlett that Aiden is a knight.", "Assume Aiden 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 Scarlett is a knave or Scarlett is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 1), ('not', ('telling-truth', 2)), ('or', ('lying', 0), ('telling-truth', 0)))", "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 3 inhabitants: Sophia, Penelope, and Michael. In a statement by Sophia: \"Michael is a knight\". Penelope was heard saying, \"Michael is a knight if and only if Sophia is a knight\". In Michael's words: \"Penelope is not a knight\". So who is a knight and who is a knave?", "names": ["Sophia", "Penelope", "Michael"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Sophia is a knave, Penelope is a knight, and Michael is a knave.", "solution_text_format": "(1) Sophia is a knave\n(2) Penelope is a knight\n(3) 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 Sophia 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 Penelope is not a knight.", "Penelope cannot be a knight, because this would contradict the claim of Michael that Penelope is not a knight.", "Penelope cannot be a knave, because this would contradict the false claim of their own that Michael is a knight if and only if Sophia is a knight.", "We have exhausted all possibilities for Penelope, so let us go back and reconsider Michael.", "Michael cannot be a knave, because this would contradict the claim of Sophia that Michael is a knight.", "We have exhausted all possibilities for Michael, so let us go back and reconsider Sophia.", "Assume Sophia 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 Sophia that Michael is a knight.", "Assume Michael 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 Michael is a knight if and only if Sophia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 2), ('<=>', ('telling-truth', 2), ('telling-truth', 0)), ('not', ('telling-truth', 1)))", "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 3 inhabitants: William, Chloe, and Aiden. William said that Aiden is not a knave. According to Chloe, \"William is a knight if and only if Chloe is a knight\". As Aiden put it, \"William is a knave or Chloe is a knight\". So who is a knight and who is a knave?", "names": ["William", "Chloe", "Aiden"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "William is a knight, Chloe is a knight, and Aiden is a knight.", "solution_text_format": "(1) William is a knight\n(2) Chloe is a knight\n(3) 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 William 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 William is a knave or Chloe is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that William is a knight if and only if Chloe is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 2)), ('<=>', ('telling-truth', 0), ('telling-truth', 1)), ('or', ('lying', 0), ('telling-truth', 1)))", "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 3 inhabitants: Penelope, Avery, and Victoria. In Penelope's words: \"Avery is a knave or Avery is a knight\". As Avery put it, \"Victoria is a knave if and only if Penelope is a knave\". \"Penelope is a knight and Penelope is a knave,\" Victoria mentioned. So who is a knight and who is a knave?", "names": ["Penelope", "Avery", "Victoria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false], "solution_text": "Penelope is a knight, Avery is a knave, and Victoria is a knave.", "solution_text_format": "(1) Penelope is a knight\n(2) Avery is a knave\n(3) 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 Penelope is a knight. No contradiction is found in their claim that Avery is a knave or Avery is a knight.", "Assume Avery is a knight. No contradiction is found in their claim that Victoria is a knave if and only if Penelope is a knave.", "Victoria cannot be a knight, because this would contradict the claim of their own that Penelope is a knight and Penelope is a knave.", "Victoria cannot be a knave, because this would contradict the claim of Avery that Victoria is a knave if and only if Penelope is a knave.", "We have exhausted all possibilities for Victoria, so let us go back and reconsider Avery.", "Assume Avery is a knave. No contradiction is found in their false claim that Victoria is a knave if and only if Penelope is a knave.", "Victoria cannot be a knight, because this would contradict the false claim of Avery that Victoria is a knave if and only if Penelope is a knave.", "Assume Victoria 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', 1), ('telling-truth', 1)), ('<=>', ('lying', 2), ('lying', 0)), ('and', ('telling-truth', 0), ('lying', 0)))", "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 3 inhabitants: Aria, Grace, and Noah. According to Aria, \"Grace is a knight\". \"Aria is a knight and Aria is a knave\" - Grace. Noah commented, \"Aria is not a knight\". So who is a knight and who is a knave?", "names": ["Aria", "Grace", "Noah"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Aria is a knave, Grace is a knave, and Noah is a knight.", "solution_text_format": "(1) Aria is a knave\n(2) Grace is a knave\n(3) 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 Aria 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 Aria is a knight and Aria is a knave.", "Grace cannot be a knave, because this would contradict the claim of Aria that Grace is a knight.", "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 a knight.", "Grace cannot be a knight, because this would contradict the false claim of Aria that Grace is a knight.", "Assume Grace is a knave. No contradiction is found in their false claim that Aria is a knight and Aria is a knave.", "Assume Noah 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": "(('telling-truth', 1), ('and', ('telling-truth', 0), ('lying', 0)), ('not', ('telling-truth', 0)))", "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 3 inhabitants: Mia, Penelope, and Grace. In a statement by Mia: \"Penelope is a knave\". \"Mia is a knight and Penelope is a knight,\" Penelope claimed. \"Mia is a knave and Penelope is a knight\" - Grace. So who is a knight and who is a knave?", "names": ["Mia", "Penelope", "Grace"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false], "solution_text": "Mia is a knight, Penelope is a knave, and Grace is a knave.", "solution_text_format": "(1) Mia is a knight\n(2) Penelope is a knave\n(3) 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 Mia 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 Mia that Penelope is a knave.", "Assume Penelope is a knave. No contradiction is found in their false claim that Mia is a knight and Penelope is a knight.", "Grace cannot be a knight, because this would contradict the claim of their own that Mia is a knave and Penelope is a knight.", "Assume Grace is a knave. No contradiction is found in their false claim that Mia is a knave and Penelope is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('and', ('telling-truth', 0), ('telling-truth', 1)), ('and', ('lying', 0), ('telling-truth', 1)))", "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 3 inhabitants: Chloe, Liam, and Sofia. Chloe asserted: \"If Liam is a knave then Liam is a knight\". In a statement by Liam: \"Chloe is a knave if and only if Chloe is a knight\". Sofia told you that Chloe is a knight if and only if Liam is a knave. So who is a knight and who is a knave?", "names": ["Chloe", "Liam", "Sofia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false], "solution_text": "Chloe is a knave, Liam is a knave, and Sofia is a knave.", "solution_text_format": "(1) Chloe is a knave\n(2) Liam is a knave\n(3) 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 Chloe is a knight. No contradiction is found in their claim that If Liam is a knave then Liam is a knight.", "Liam 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.", "Liam cannot be a knave, because this would contradict the claim of Chloe that If Liam is a knave then Liam is a knight.", "We have exhausted all possibilities for Liam, so let us go back and reconsider Chloe.", "Assume Chloe is a knave. No contradiction is found in their false claim that If Liam is a knave then Liam is a knight.", "Liam cannot be a knight, because this would contradict the false claim of Chloe that If Liam is a knave then Liam is a knight.", "Assume Liam is a knave. No contradiction is found in their false claim that Chloe is a knave if and only if Chloe is a knight.", "Sofia cannot be a knight, because this would contradict the claim of their own that Chloe is a knight if and only if Liam is a knave.", "Assume Sofia is a knave. No contradiction is found in their false claim that Chloe is a knight if and only if Liam is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 1), ('telling-truth', 1)), ('<=>', ('lying', 0), ('telling-truth', 0)), ('<=>', ('telling-truth', 0), ('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 3 inhabitants: Elizabeth, Samuel, and Michael. Elizabeth commented, \"If Elizabeth is a knight then Samuel is a knight\". In Samuel's words: \"Michael is not a knave\". Michael expressed that Michael is a knight and Elizabeth is a knight. So who is a knight and who is a knave?", "names": ["Elizabeth", "Samuel", "Michael"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Elizabeth is a knight, Samuel is a knight, and Michael is a knight.", "solution_text_format": "(1) Elizabeth is a knight\n(2) Samuel is a knight\n(3) 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 Elizabeth is a knight. No contradiction is found in their claim that If Elizabeth is a knight then Samuel is a knight.", "Assume Samuel 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 Michael is a knight and Elizabeth is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 0), ('telling-truth', 1)), ('not', ('lying', 2)), ('and', ('telling-truth', 2), ('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 3 inhabitants: Ella, Michael, and Avery. \"Michael is a knave,\" Ella mentioned. Michael stated, \"Ella is a knave and Ella is a knight\". In Avery's words: \"Avery is a knight or Michael is a knave\". So who is a knight and who is a knave?", "names": ["Ella", "Michael", "Avery"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Ella is a knight, Michael is a knave, and Avery is a knight.", "solution_text_format": "(1) Ella is a knight\n(2) Michael is a knave\n(3) 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 Michael is a knave.", "Michael cannot be a knight, because this would contradict the claim of Ella that Michael is a knave.", "Assume Michael is a knave. No contradiction is found in their false claim that Ella is a knave and Ella is a knight.", "Assume Avery is a knight. No contradiction is found in their claim that Avery is a knight or Michael is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('and', ('lying', 0), ('telling-truth', 0)), ('or', ('telling-truth', 2), ('lying', 1)))", "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 3 inhabitants: Sebastian, Elizabeth, and Avery. Sebastian asserted: \"Elizabeth is a knight\". Elizabeth stated, \"Avery is a knave and Sebastian is a knave\". Avery said that Sebastian is a knave and Elizabeth is a knave. So who is a knight and who is a knave?", "names": ["Sebastian", "Elizabeth", "Avery"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Sebastian is a knave, Elizabeth is a knave, and Avery is a knight.", "solution_text_format": "(1) Sebastian is a knave\n(2) Elizabeth is a knave\n(3) 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 Sebastian 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 Avery is a knave and Sebastian is a knave.", "Elizabeth cannot be a knave, because this would contradict the claim of Sebastian that Elizabeth 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 a knight.", "Elizabeth cannot be a knight, because this would contradict the false claim of Sebastian that Elizabeth is a knight.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Avery is a knave and Sebastian is a knave.", "Assume Avery is a knight. No contradiction is found in their claim that Sebastian is a knave and Elizabeth is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 1), ('and', ('lying', 2), ('lying', 0)), ('and', ('lying', 0), ('lying', 1)))", "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 3 inhabitants: Joseph, Owen, and Sofia. Joseph expressed that Sofia is a knave or Owen is a knight. Owen commented, \"Sofia is a knave if and only if Joseph is a knave\". Sofia expressed that Joseph is a knight. So who is a knight and who is a knave?", "names": ["Joseph", "Owen", "Sofia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Joseph is a knight, Owen is a knight, and Sofia is a knight.", "solution_text_format": "(1) Joseph is a knight\n(2) Owen is a knight\n(3) 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 Sofia is a knave or Owen is a knight.", "Assume Sofia is a knight. No contradiction is found in their claim that Joseph is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that Sofia is a knave if and only if Joseph is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 2), ('telling-truth', 1)), ('<=>', ('lying', 2), ('lying', 0)), ('telling-truth', 0))", "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 3 inhabitants: Daniel, Scarlett, and Matthew. Daniel said, \"Matthew is a knave if and only if Daniel is a knight.\" Scarlett was heard saying, \"Matthew is not a knave\". Matthew said, \"Daniel is not a knight.\" So who is a knight and who is a knave?", "names": ["Daniel", "Scarlett", "Matthew"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false], "solution_text": "Daniel is a knight, Scarlett is a knave, and Matthew is a knave.", "solution_text_format": "(1) Daniel is a knight\n(2) Scarlett is a knave\n(3) 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 Daniel is a knight. No contradiction is found in their claim that Matthew is a knave if and only if Daniel is a knight.", "Matthew cannot be a knight, because this would contradict the claim of Daniel that Matthew is a knave if and only if Daniel is a knight.", "Assume Matthew is a knave. No contradiction is found in their false claim that Daniel is not a knight.", "Scarlett cannot be a knight, because this would contradict the claim of their own that Matthew is not a knave.", "Assume Scarlett 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', 2), ('telling-truth', 0)), ('not', ('lying', 2)), ('not', ('telling-truth', 0)))", "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 3 inhabitants: James, Riley, and Aurora. James expressed that Riley is a knave and Aurora is a knave. Riley said that Aurora is a knight or James is a knight. \"If Riley is a knave then Aurora is a knight\" - Aurora. So who is a knight and who is a knave?", "names": ["James", "Riley", "Aurora"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "James is a knave, Riley is a knight, and Aurora is a knight.", "solution_text_format": "(1) James is a knave\n(2) Riley is a knight\n(3) 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 James is a knight. No contradiction is found in their claim that Riley is a knave and Aurora is a knave.", "Riley cannot be a knight, because this would contradict the claim of James that Riley is a knave and Aurora is a knave.", "Riley cannot be a knave, because this would contradict the false claim of their own that Aurora is a knight or James is a knight.", "We have exhausted all possibilities for Riley, so let us go back and reconsider James.", "Assume James is a knave. No contradiction is found in their false claim that Riley is a knave and Aurora is a knave.", "Assume Riley is a knight. No contradiction is found in their claim that Aurora is a knight or James is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that If Riley is a knave then Aurora is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('lying', 2)), ('or', ('telling-truth', 2), ('telling-truth', 0)), ('->', ('lying', 1), ('telling-truth', 2)))", "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 3 inhabitants: Abigail, David, and Scarlett. Abigail told you that Scarlett is not a knave. David asserted: \"Abigail is not a knight\". According to Scarlett, \"Abigail is a knave if and only if Scarlett is a knight\". So who is a knight and who is a knave?", "names": ["Abigail", "David", "Scarlett"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Abigail is a knave, David is a knight, and Scarlett is a knave.", "solution_text_format": "(1) Abigail is a knave\n(2) David is a knight\n(3) 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 Abigail 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 Abigail is a knave if and only if Scarlett is a knight.", "Scarlett cannot be a knave, because this would contradict the claim of Abigail that Scarlett is not a knave.", "We have exhausted all possibilities for Scarlett, so let us go back and reconsider Abigail.", "Assume Abigail 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 Abigail that Scarlett is not a knave.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Abigail is a knave if and only if Scarlett is a knight.", "Assume David is a knight. No contradiction is found in their claim that Abigail is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 2)), ('not', ('telling-truth', 0)), ('<=>', ('lying', 0), ('telling-truth', 2)))", "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 3 inhabitants: Ethan, Aurora, and Joseph. \"Ethan is a knight and Joseph is a knight,\" Ethan declared. Aurora expressed that Ethan is a knight if and only if Joseph is a knave. Joseph asserted: \"If Aurora is a knight then Aurora is a knave\". So who is a knight and who is a knave?", "names": ["Ethan", "Aurora", "Joseph"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Ethan is a knight, Aurora is a knave, and Joseph is a knight.", "solution_text_format": "(1) Ethan is a knight\n(2) Aurora is a knave\n(3) 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 Ethan is a knight. No contradiction is found in their claim that Ethan is a knight and Joseph is a knight.", "Assume Joseph is a knight. No contradiction is found in their claim that If Aurora is a knight then Aurora is a knave.", "Aurora cannot be a knight, because this would contradict the claim of their own that Ethan is a knight if and only if Joseph is a knave.", "Assume Aurora is a knave. No contradiction is found in their false claim that Ethan is a knight if and only if Joseph is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 0), ('telling-truth', 2)), ('<=>', ('telling-truth', 0), ('lying', 2)), ('->', ('telling-truth', 1), ('lying', 1)))", "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 3 inhabitants: Joseph, Aurora, and Henry. Joseph said that Henry is a knave if and only if Aurora is a knave. Aurora stated, \"If Joseph is a knight then Henry is a knave\". \"Joseph is a knave if and only if Joseph is a knight,\" Henry mentioned. So who is a knight and who is a knave?", "names": ["Joseph", "Aurora", "Henry"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Joseph is a knave, Aurora is a knight, and Henry is a knave.", "solution_text_format": "(1) Joseph is a knave\n(2) Aurora is a knight\n(3) 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 Joseph is a knight. No contradiction is found in their claim that Henry is a knave if and only if Aurora 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 Joseph is a knight.", "Assume Henry is a knave. No contradiction is found in their false claim that Joseph is a knave if and only if Joseph is a knight.", "Aurora cannot be a knight, because this would contradict the claim of Joseph that Henry is a knave if and only if Aurora is a knave.", "Aurora cannot be a knave, because this would contradict the false claim of their own that If Joseph is a knight then Henry is a knave.", "We have exhausted all possibilities for Aurora and Henry, so let us go back and reconsider Joseph.", "Assume Joseph is a knave. No contradiction is found in their false claim that Henry is a knave if and only if Aurora 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 Joseph is a knight.", "Assume Henry 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 Aurora is a knight. No contradiction is found in their claim that If Joseph is a knight then Henry is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 2), ('lying', 1)), ('->', ('telling-truth', 0), ('lying', 2)), ('<=>', ('lying', 0), ('telling-truth', 0)))", "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 3 inhabitants: Jackson, Olivia, and Mia. Jackson noted, \"If Jackson is a knight then Mia is a knight\". Olivia stated, \"Mia is a knave or Jackson is a knight\". In Mia's words: \"Jackson is a knight\". So who is a knight and who is a knave?", "names": ["Jackson", "Olivia", "Mia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Jackson is a knight, Olivia is a knight, and Mia is a knight.", "solution_text_format": "(1) Jackson is a knight\n(2) Olivia is a knight\n(3) 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 If Jackson is a knight then Mia is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that Jackson is a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that Mia is a knave or Jackson is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 0), ('telling-truth', 2)), ('or', ('lying', 2), ('telling-truth', 0)), ('telling-truth', 0))", "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 3 inhabitants: Harper, Emma, and Abigail. Harper remarked, \"Abigail is a knight\". \"Harper is a knave if and only if Abigail is a knave,\" Emma declared. Abigail told you that Abigail is a knight or Harper is a knave. So who is a knight and who is a knave?", "names": ["Harper", "Emma", "Abigail"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Harper is a knight, Emma is a knight, and Abigail is a knight.", "solution_text_format": "(1) Harper is a knight\n(2) Emma is a knight\n(3) 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 Harper 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 Abigail is a knight or Harper is a knave.", "Assume Emma is a knight. No contradiction is found in their claim that Harper is a knave if and only if Abigail is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 2), ('<=>', ('lying', 0), ('lying', 2)), ('or', ('telling-truth', 2), ('lying', 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 3 inhabitants: Elizabeth, Oliver, and Victoria. As Elizabeth put it, \"Victoria is not a knave\". Oliver expressed that Victoria is a knave and Victoria is a knight. In a statement by Victoria: \"Elizabeth is a knave and Victoria is a knight\". So who is a knight and who is a knave?", "names": ["Elizabeth", "Oliver", "Victoria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false], "solution_text": "Elizabeth is a knave, Oliver is a knave, and Victoria is a knave.", "solution_text_format": "(1) Elizabeth is a knave\n(2) Oliver is a knave\n(3) 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 Elizabeth is a knight. No contradiction is found in their claim that Victoria is not a knave.", "Victoria cannot be a knight, because this would contradict the claim of their own that Elizabeth is a knave and Victoria is a knight.", "Victoria cannot be a knave, because this would contradict the claim of Elizabeth that Victoria is not a knave.", "We have exhausted all possibilities for 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 not a knave.", "Victoria cannot be a knight, because this would contradict the false claim of Elizabeth that Victoria is not a knave.", "Assume Victoria is a knave. No contradiction is found in their false claim that Elizabeth is a knave and Victoria is a knight.", "Oliver cannot be a knight, because this would contradict the claim of their own that Victoria is a knave and Victoria is a knight.", "Assume Oliver is a knave. No contradiction is found in their false claim that Victoria is a knave and Victoria is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 2)), ('and', ('lying', 2), ('telling-truth', 2)), ('and', ('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 3 inhabitants: Zoey, Luke, and James. Zoey asserted: \"If Luke is a knight then James is a knight\". Luke said, \"James is a knight if and only if James is a knave.\" As James put it, \"Zoey is a knave or Luke is a knave\". So who is a knight and who is a knave?", "names": ["Zoey", "Luke", "James"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Zoey is a knight, Luke is a knave, and James is a knight.", "solution_text_format": "(1) Zoey is a knight\n(2) Luke is a knave\n(3) 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 Zoey is a knight. No contradiction is found in their claim that If Luke is a knight then James is a knight.", "Luke 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 Luke 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 Zoey is a knave or Luke is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 1), ('telling-truth', 2)), ('<=>', ('telling-truth', 2), ('lying', 2)), ('or', ('lying', 0), ('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 3 inhabitants: Daniel, Alexander, and Oliver. In a statement by Daniel: \"Oliver is a knight if and only if Alexander is a knight\". Alexander commented, \"If Daniel is a knight then Oliver is a knave\". \"Daniel is a knight,\" Oliver claimed. So who is a knight and who is a knave?", "names": ["Daniel", "Alexander", "Oliver"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Daniel is a knave, Alexander is a knight, and Oliver is a knave.", "solution_text_format": "(1) Daniel is a knave\n(2) Alexander is a knight\n(3) 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 Daniel is a knight. No contradiction is found in their claim that Oliver is a knight if and only if Alexander is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that Daniel is a knight.", "Alexander cannot be a knight, because this would contradict the claim of their own that If Daniel is a knight then Oliver is a knave.", "Alexander cannot be a knave, because this would contradict the claim of Daniel that Oliver is a knight if and only if Alexander is a knight.", "We have exhausted all possibilities for Alexander, so let us go back and reconsider Oliver.", "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, 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 Alexander is a knight.", "Oliver cannot be a knight, because this would contradict the claim of their own that Daniel is a knight.", "Assume Oliver is a knave. No contradiction is found in their false claim that Daniel is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that If Daniel is a knight then Oliver is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 2), ('telling-truth', 1)), ('->', ('telling-truth', 0), ('lying', 2)), ('telling-truth', 0))", "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 3 inhabitants: Lucas, Joseph, and Jack. Lucas asserted: \"Lucas is a knight and Joseph is a knight\". In Joseph's words: \"Lucas is a knave if and only if Lucas is a knight\". Jack was heard saying, \"Joseph is not a knight\". So who is a knight and who is a knave?", "names": ["Lucas", "Joseph", "Jack"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Lucas is a knave, Joseph is a knave, and Jack is a knight.", "solution_text_format": "(1) Lucas is a knave\n(2) Joseph is a knave\n(3) 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 Lucas is a knight. No contradiction is found in their claim that Lucas is a knight and Joseph is a knight.", "Joseph 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.", "Joseph cannot be a knave, because this would contradict the claim of Lucas that Lucas is a knight and Joseph is a knight.", "We have exhausted all possibilities for Joseph, so let us go back and reconsider Lucas.", "Assume Lucas is a knave. No contradiction is found in their false claim that Lucas is a knight and Joseph is a knight.", "Joseph 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 Joseph 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 Jack is a knight. No contradiction is found in their claim that Joseph is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 0), ('telling-truth', 1)), ('<=>', ('lying', 0), ('telling-truth', 0)), ('not', ('telling-truth', 1)))", "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 3 inhabitants: Avery, Scarlett, and Matthew. Avery expressed that Matthew is not a knight. In a statement by Scarlett: \"Avery is not a knight\". Matthew noted, \"Matthew is a knight if and only if Avery is a knight\". So who is a knight and who is a knave?", "names": ["Avery", "Scarlett", "Matthew"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false], "solution_text": "Avery is a knight, Scarlett is a knave, and Matthew is a knave.", "solution_text_format": "(1) Avery is a knight\n(2) Scarlett is a knave\n(3) 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 Avery 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 Avery that Matthew is not a knight.", "Assume Matthew is a knave. No contradiction is found in their false claim that Matthew is a knight if and only if Avery is a knight.", "Scarlett cannot be a knight, because this would contradict the claim of their own that Avery is not a knight.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Avery is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 2)), ('not', ('telling-truth', 0)), ('<=>', ('telling-truth', 2), ('telling-truth', 0)))", "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 3 inhabitants: Lucas, Emily, and Charlotte. \"Charlotte is a knave,\" Lucas mentioned. Emily told you that Charlotte is a knave if and only if Lucas is a knave. In Charlotte's words: \"Lucas is a knight or Emily is a knave\". So who is a knight and who is a knave?", "names": ["Lucas", "Emily", "Charlotte"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Lucas is a knave, Emily is a knave, and Charlotte is a knight.", "solution_text_format": "(1) Lucas is a knave\n(2) Emily is a knave\n(3) 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 Lucas 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 Lucas that Charlotte is a knave.", "Charlotte cannot be a knave, because this would contradict the false claim of their own that Lucas is a knight or Emily is a knave.", "We have exhausted all possibilities for Charlotte, so let us go back and reconsider Lucas.", "Assume Lucas 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 Lucas is a knight or Emily is a knave.", "Emily cannot be a knight, because this would contradict the claim of their own that Charlotte is a knave if and only if Lucas is a knave.", "Assume Emily is a knave. No contradiction is found in their false claim that Charlotte is a knave if and only if Lucas is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 2), ('<=>', ('lying', 2), ('lying', 0)), ('or', ('telling-truth', 0), ('lying', 1)))", "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 3 inhabitants: Evelyn, Logan, and Samuel. Evelyn asserted: \"If Logan is a knight then Evelyn is a knight\". Logan commented, \"Samuel is a knight if and only if Evelyn is a knight\". \"If Evelyn is a knight then Evelyn is a knave\" - Samuel. So who is a knight and who is a knave?", "names": ["Evelyn", "Logan", "Samuel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false], "solution_text": "Evelyn is a knight, Logan is a knave, and Samuel is a knave.", "solution_text_format": "(1) Evelyn is a knight\n(2) Logan is a knave\n(3) 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 Evelyn is a knight. No contradiction is found in their claim that If Logan is a knight then Evelyn is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that Samuel is a knight if and only if Evelyn is a knight.", "Samuel cannot be a knight, because this would contradict the claim of their own that If Evelyn is a knight then Evelyn is a knave.", "Samuel cannot be a knave, because this would contradict the claim of Logan that Samuel is a knight if and only if Evelyn is a knight.", "We have exhausted all possibilities for 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 a knight if and only if Evelyn is a knight.", "Samuel cannot be a knight, because this would contradict the false claim of Logan that Samuel is a knight if and only if Evelyn is a knight.", "Assume Samuel is a knave. No contradiction is found in their false claim that If Evelyn is a knight then Evelyn is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 1), ('telling-truth', 0)), ('<=>', ('telling-truth', 2), ('telling-truth', 0)), ('->', ('telling-truth', 0), ('lying', 0)))", "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 3 inhabitants: Sebastian, Noah, and Mason. Sebastian noted, \"Noah is a knight\". According to Noah, \"If Sebastian is a knave then Mason is a knave\". Mason noted, \"Sebastian is not a knave\". So who is a knight and who is a knave?", "names": ["Sebastian", "Noah", "Mason"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Sebastian is a knight, Noah is a knight, and Mason is a knight.", "solution_text_format": "(1) Sebastian is a knight\n(2) Noah is a knight\n(3) 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 Sebastian 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 Sebastian is a knave then Mason is a knave.", "Assume Mason 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', 1), ('->', ('lying', 0), ('lying', 2)), ('not', ('lying', 0)))", "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 3 inhabitants: Aria, Olivia, and David. \"If David is a knave then Olivia is a knave\" - Aria. \"If Aria is a knight then David is a knave,\" Olivia mentioned. David expressed that Aria is a knight if and only if Olivia is a knave. So who is a knight and who is a knave?", "names": ["Aria", "Olivia", "David"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Aria is a knight, Olivia is a knave, and David is a knight.", "solution_text_format": "(1) Aria is a knight\n(2) Olivia is a knave\n(3) 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 Aria is a knight. No contradiction is found in their claim that If David is a knave then Olivia is a knave.", "Assume David is a knight. No contradiction is found in their claim that Aria is a knight if and only if Olivia is a knave.", "Olivia cannot be a knight, because this would contradict the claim of their own that If Aria is a knight then David is a knave.", "Assume Olivia is a knave. No contradiction is found in their false claim that If Aria is a knight then David is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 2), ('lying', 1)), ('->', ('telling-truth', 0), ('lying', 2)), ('<=>', ('telling-truth', 0), ('lying', 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 3 inhabitants: Scarlett, Victoria, and Ethan. \"Ethan is a knight and Scarlett is a knight,\" Scarlett declared. As Victoria put it, \"If Ethan is a knave then Victoria is a knight\". \"Scarlett is a knave\" - Ethan. So who is a knight and who is a knave?", "names": ["Scarlett", "Victoria", "Ethan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Scarlett is a knave, Victoria is a knight, and Ethan is a knight.", "solution_text_format": "(1) Scarlett is a knave\n(2) Victoria is a knight\n(3) 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 Scarlett is a knight. No contradiction is found in their claim that Ethan is a knight and Scarlett is a knight.", "Ethan cannot be a knight, because this would contradict the claim of their own that Scarlett is a knave.", "Ethan cannot be a knave, because this would contradict the claim of Scarlett that Ethan is a knight and Scarlett is a knight.", "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 a knight and Scarlett is a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that Scarlett is a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that If Ethan is a knave then Victoria is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 2), ('telling-truth', 0)), ('->', ('lying', 2), ('telling-truth', 1)), ('lying', 0))", "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 3 inhabitants: William, Riley, and Ella. William commented, \"If Ella is a knight then Riley is a knave\". \"William is a knave,\" Riley mentioned. Ella remarked, \"William is a knave and Riley is a knave\". So who is a knight and who is a knave?", "names": ["William", "Riley", "Ella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false], "solution_text": "William is a knight, Riley is a knave, and Ella is a knave.", "solution_text_format": "(1) William is a knight\n(2) Riley is a knave\n(3) 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 William is a knight. No contradiction is found in their claim that If Ella is a knight then Riley is a knave.", "Ella cannot be a knight, because this would contradict the claim of their own that William is a knave and Riley is a knave.", "Assume Ella is a knave. No contradiction is found in their false claim that William is a knave and Riley is a knave.", "Riley cannot be a knight, because this would contradict the claim of their own that William is a knave.", "Assume Riley 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', 2), ('lying', 1)), ('lying', 0), ('and', ('lying', 0), ('lying', 1)))", "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 3 inhabitants: Charlotte, Penelope, and Olivia. Charlotte noted, \"If Olivia is a knave then Olivia is a knight\". Penelope remarked, \"Olivia is a knave and Olivia is a knight\". Olivia remarked, \"If Penelope is a knave then Penelope is a knight\". So who is a knight and who is a knave?", "names": ["Charlotte", "Penelope", "Olivia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false], "solution_text": "Charlotte is a knave, Penelope is a knave, and Olivia is a knave.", "solution_text_format": "(1) Charlotte is a knave\n(2) Penelope is a knave\n(3) 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 Charlotte 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 If Penelope is a knave then Penelope is a knight.", "Penelope cannot be a knight, because this would contradict the claim of their own that Olivia is a knave and Olivia is a knight.", "Penelope cannot be a knave, because this would contradict the claim of Olivia that If Penelope is a knave then Penelope is a knight.", "We have exhausted all possibilities for Penelope, so let us go back and reconsider Olivia.", "Olivia cannot be a knave, because this would contradict the claim of Charlotte 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 Charlotte.", "Assume Charlotte 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 Charlotte 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 If Penelope is a knave then Penelope is a knight.", "Penelope cannot be a knight, because this would contradict the claim of their own that Olivia is a knave and Olivia is a knight.", "Assume Penelope is a knave. No contradiction is found in their false claim that Olivia is a knave and Olivia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 2), ('telling-truth', 2)), ('and', ('lying', 2), ('telling-truth', 2)), ('->', ('lying', 1), ('telling-truth', 1)))", "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 3 inhabitants: Sebastian, Victoria, and Ethan. \"Ethan is not a knave,\" Sebastian claimed. In a statement by Victoria: \"Ethan is a knave or Sebastian is a knight\". Ethan noted, \"If Victoria is a knave then Victoria is a knight\". So who is a knight and who is a knave?", "names": ["Sebastian", "Victoria", "Ethan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Sebastian is a knight, Victoria is a knight, and Ethan is a knight.", "solution_text_format": "(1) Sebastian is a knight\n(2) Victoria is a knight\n(3) 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 Sebastian 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 Victoria is a knave then Victoria is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that Ethan is a knave or Sebastian is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 2)), ('or', ('lying', 2), ('telling-truth', 0)), ('->', ('lying', 1), ('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 3 inhabitants: Avery, Lucas, and Joseph. Avery remarked, \"Joseph is a knight or Lucas is a knight\". Lucas asserted: \"Avery is a knave\". In Joseph's words: \"Lucas is a knave if and only if Joseph is a knight\". So who is a knight and who is a knave?", "names": ["Avery", "Lucas", "Joseph"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Avery is a knight, Lucas is a knave, and Joseph is a knight.", "solution_text_format": "(1) Avery is a knight\n(2) Lucas is a knave\n(3) 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 Avery is a knight. No contradiction is found in their claim that Joseph is a knight or Lucas is a knight.", "Assume Joseph is a knight. No contradiction is found in their claim that Lucas is a knave if and only if Joseph is a knight.", "Lucas cannot be a knight, because this would contradict the claim of their own that Avery is a knave.", "Assume Lucas is a knave. No contradiction is found in their false claim that Avery is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 2), ('telling-truth', 1)), ('lying', 0), ('<=>', ('lying', 1), ('telling-truth', 2)))", "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 3 inhabitants: Benjamin, Lucas, and Aiden. In Benjamin's words: \"Aiden is a knight and Aiden is a knave\". \"Benjamin is a knight and Aiden is a knave,\" Lucas mentioned. Aiden commented, \"Benjamin is not a knave\". So who is a knight and who is a knave?", "names": ["Benjamin", "Lucas", "Aiden"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false], "solution_text": "Benjamin is a knave, Lucas is a knave, and Aiden is a knave.", "solution_text_format": "(1) Benjamin is a knave\n(2) Lucas is a knave\n(3) 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": ["Benjamin cannot be a knight, because this would contradict the claim of their own that Aiden is a knight and Aiden is a knave.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Aiden is a knight and Aiden is a knave.", "Aiden cannot be a knight, because this would contradict the claim of their own that Benjamin is not a knave.", "Assume Aiden is a knave. No contradiction is found in their false claim that Benjamin is not a knave.", "Lucas cannot be a knight, because this would contradict the claim of their own that Benjamin is a knight and Aiden is a knave.", "Assume Lucas is a knave. No contradiction is found in their false claim that Benjamin is a knight and Aiden is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 2), ('lying', 2)), ('and', ('telling-truth', 0), ('lying', 2)), ('not', ('lying', 0)))", "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 3 inhabitants: Charlotte, Benjamin, and Emily. \"If Benjamin is a knave then Emily is a knave,\" Charlotte claimed. In a statement by Benjamin: \"Emily is a knave if and only if Benjamin is a knight\". \"Benjamin is a knight\" - Emily. So who is a knight and who is a knave?", "names": ["Charlotte", "Benjamin", "Emily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false], "solution_text": "Charlotte is a knight, Benjamin is a knave, and Emily is a knave.", "solution_text_format": "(1) Charlotte is a knight\n(2) Benjamin is a knave\n(3) 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 Charlotte is a knight. No contradiction is found in their claim that If Benjamin is a knave then Emily is a knave.", "Assume Benjamin is a knight. No contradiction is found in their claim that Emily is a knave if and only if Benjamin is a knight.", "Emily cannot be a knight, because this would contradict the claim of Benjamin that Emily is a knave if and only if Benjamin is a knight.", "Emily cannot be a knave, because this would contradict the false claim of their own that Benjamin is a knight.", "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 knave if and only if Benjamin is a knight.", "Emily cannot be a knight, because this would contradict the claim of Charlotte that If Benjamin is a knave then Emily is a knave.", "Assume Emily 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": "(('->', ('lying', 1), ('lying', 2)), ('<=>', ('lying', 2), ('telling-truth', 1)), ('telling-truth', 1))", "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 3 inhabitants: Jacob, Noah, and William. Jacob noted, \"William is a knight\". Noah said, \"If William is a knight then William is a knave.\" \"Noah is a knave and Jacob is a knave\" - William. So who is a knight and who is a knave?", "names": ["Jacob", "Noah", "William"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Jacob is a knave, Noah is a knight, and William is a knave.", "solution_text_format": "(1) Jacob is a knave\n(2) Noah is a knight\n(3) 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 William is a knight.", "William cannot be a knight, because this would contradict the claim of their own that Noah is a knave and Jacob is a knave.", "William cannot be a knave, because this would contradict the claim of Jacob that William is a knight.", "We have exhausted all possibilities for William, so let us go back and reconsider Jacob.", "Assume Jacob 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 Jacob that William is a knight.", "Assume William is a knave. No contradiction is found in their false claim that Noah is a knave and Jacob is a knave.", "Assume Noah is a knight. No contradiction is found in their claim that If William is a knight then William is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 2), ('->', ('telling-truth', 2), ('lying', 2)), ('and', ('lying', 1), ('lying', 0)))", "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 3 inhabitants: Riley, Jacob, and Harper. In a statement by Riley: \"Harper is a knight or Harper is a knave\". \"Jacob is a knight and Harper is a knave\" - Jacob. Harper commented, \"If Jacob is a knave then Jacob is a knight\". So who is a knight and who is a knave?", "names": ["Riley", "Jacob", "Harper"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false], "solution_text": "Riley is a knight, Jacob is a knave, and Harper is a knave.", "solution_text_format": "(1) Riley is a knight\n(2) Jacob is a knave\n(3) 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 Riley is a knight. No contradiction is found in their claim that Harper 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 Jacob is a knight.", "Jacob cannot be a knight, because this would contradict the claim of their own that Jacob is a knight and Harper is a knave.", "Jacob cannot be a knave, because this would contradict the claim of Harper that If Jacob is a knave then 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 If Jacob is a knave then Jacob is a knight.", "Jacob cannot be a knight, because this would contradict the false claim of Harper that If Jacob is a knave then Jacob is a knight.", "Assume Jacob is a knave. No contradiction is found in their false claim that Jacob is a knight and Harper is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 2), ('lying', 2)), ('and', ('telling-truth', 1), ('lying', 2)), ('->', ('lying', 1), ('telling-truth', 1)))", "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 3 inhabitants: Aurora, Matthew, and Ella. In a statement by Aurora: \"Ella is a knight and Ella is a knave\". Matthew said that If Aurora is a knight then Matthew is a knight. \"If Aurora is a knave then Matthew is a knave\" - Ella. So who is a knight and who is a knave?", "names": ["Aurora", "Matthew", "Ella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Aurora is a knave, Matthew is a knight, and Ella is a knave.", "solution_text_format": "(1) Aurora is a knave\n(2) Matthew is a knight\n(3) 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": ["Aurora cannot be a knight, because this would contradict the claim of their own that Ella is a knight and Ella is a knave.", "Assume Aurora is a knave. No contradiction is found in their false claim that Ella is a knight and Ella is a knave.", "Assume Ella is a knight. No contradiction is found in their claim that If Aurora is a knave then Matthew is a knave.", "Matthew cannot be a knight, because this would contradict the claim of Ella that If Aurora is a knave then Matthew is a knave.", "Matthew cannot be a knave, because this would contradict the false claim of their own that If Aurora is a knight then Matthew is a knight.", "We have exhausted all possibilities for Matthew, so let us go back and reconsider Ella.", "Assume Ella is a knave. No contradiction is found in their false claim that If Aurora is a knave then Matthew is a knave.", "Assume Matthew is a knight. No contradiction is found in their claim that If Aurora is a knight then Matthew is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 2), ('lying', 2)), ('->', ('telling-truth', 0), ('telling-truth', 1)), ('->', ('lying', 0), ('lying', 1)))", "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 3 inhabitants: Oliver, Mason, and Emma. Oliver noted, \"Mason is not a knave\". Mason noted, \"Emma is a knave if and only if Emma is a knight\". \"Mason is not a knave,\" Emma claimed. So who is a knight and who is a knave?", "names": ["Oliver", "Mason", "Emma"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false], "solution_text": "Oliver is a knave, Mason is a knave, and Emma is a knave.", "solution_text_format": "(1) Oliver is a knave\n(2) Mason is a knave\n(3) 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 Mason is not a knave.", "Mason cannot be a knight, because this would contradict the claim of their own that Emma is a knave if and only if Emma is a knight.", "Mason cannot be a knave, because this would contradict the claim of Oliver that Mason is not a knave.", "We have exhausted all possibilities for 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 not a knave.", "Mason cannot be a knight, because this would contradict the false claim of Oliver that Mason is not a knave.", "Assume Mason is a knave. No contradiction is found in their false claim that Emma is a knave if and only if Emma is a knight.", "Emma cannot be a knight, because this would contradict the claim of their own that Mason is not a knave.", "Assume Emma is a knave. No contradiction is found in their false claim that Mason is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 1)), ('<=>', ('lying', 2), ('telling-truth', 2)), ('not', ('lying', 1)))", "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 3 inhabitants: Jacob, Chloe, and Aria. Jacob expressed that Chloe is a knight if and only if Jacob is a knight. In Chloe's words: \"If Jacob is a knight then Jacob is a knave\". Aria noted, \"Jacob is a knight\". So who is a knight and who is a knave?", "names": ["Jacob", "Chloe", "Aria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Jacob is a knave, Chloe is a knight, and Aria is a knave.", "solution_text_format": "(1) Jacob is a knave\n(2) Chloe is a knight\n(3) 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 Jacob is a knight. No contradiction is found in their claim that Chloe is a knight if and only if Jacob is a knight.", "Chloe cannot be a knight, because this would contradict the claim of their own that If Jacob is a knight then Jacob is a knave.", "Chloe cannot be a knave, because this would contradict the claim of Jacob 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 Jacob.", "Assume Jacob 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 Chloe is a knight. No contradiction is found in their claim that If Jacob is a knight then Jacob is a knave.", "Aria cannot be a knight, because this would contradict the claim of their own that Jacob is a knight.", "Assume Aria is a knave. No contradiction is found in their false claim that Jacob is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('telling-truth', 0)), ('->', ('telling-truth', 0), ('lying', 0)), ('telling-truth', 0))", "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 3 inhabitants: Evelyn, Logan, and Matthew. \"Evelyn is a knight and Matthew is a knight\" - Evelyn. As Logan put it, \"Evelyn is a knight if and only if Evelyn is a knave\". In Matthew's words: \"Evelyn is a knave\". So who is a knight and who is a knave?", "names": ["Evelyn", "Logan", "Matthew"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Evelyn is a knave, Logan is a knave, and Matthew is a knight.", "solution_text_format": "(1) Evelyn is a knave\n(2) Logan is a knave\n(3) 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 Evelyn is a knight and Matthew is a knight.", "Matthew cannot be a knight, because this would contradict the claim of their own that Evelyn is a knave.", "Matthew cannot be a knave, because this would contradict the claim of Evelyn that Evelyn is a knight and Matthew is a knight.", "We have exhausted all possibilities for Matthew, so let us go back and reconsider Evelyn.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Evelyn is a knight and Matthew is a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that Evelyn is a knave.", "Logan 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 Logan is a knave. No contradiction is found in their false claim that Evelyn is a knight if and only if Evelyn is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 0), ('telling-truth', 2)), ('<=>', ('telling-truth', 0), ('lying', 0)), ('lying', 0))", "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 3 inhabitants: Lily, Chloe, and Noah. Lily asserted: \"If Chloe is a knave then Noah is a knave\". Chloe commented, \"Lily is a knave if and only if Chloe is a knight\". Noah expressed that If Lily is a knight then Chloe is a knight. So who is a knight and who is a knave?", "names": ["Lily", "Chloe", "Noah"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Lily is a knave, Chloe is a knave, and Noah is a knight.", "solution_text_format": "(1) Lily is a knave\n(2) Chloe is a knave\n(3) 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 Chloe is a knave then Noah is a knave.", "Chloe cannot be a knight, because this would contradict the claim of their own that Lily is a knave if and only if Chloe is a knight.", "Chloe cannot be a knave, because this would contradict the false claim of their own that Lily 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 Lily.", "Assume Lily is a knave. No contradiction is found in their false claim that If Chloe is a knave then Noah is a knave.", "Chloe cannot be a knight, because this would contradict the false claim of Lily that If Chloe is a knave then Noah 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 Chloe is a knight.", "Assume Noah is a knight. No contradiction is found in their claim that If Lily is a knight then Chloe is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 1), ('lying', 2)), ('<=>', ('lying', 0), ('telling-truth', 1)), ('->', ('telling-truth', 0), ('telling-truth', 1)))", "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 3 inhabitants: Aiden, Aurora, and William. Aiden was heard saying, \"Aiden is a knight and William is a knave\". Aurora said, \"William is not a knave.\" William noted, \"If William is a knight then Aiden is a knave\". So who is a knight and who is a knave?", "names": ["Aiden", "Aurora", "William"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Aiden is a knave, Aurora is a knight, and William is a knight.", "solution_text_format": "(1) Aiden is a knave\n(2) Aurora is a knight\n(3) 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 Aiden is a knight. No contradiction is found in their claim that Aiden is a knight and William is a knave.", "William cannot be a knight, because this would contradict the claim of Aiden that Aiden is a knight and William is a knave.", "William cannot be a knave, because this would contradict the false claim of their own that If William is a knight then Aiden is a knave.", "We have exhausted all possibilities for William, 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 William is a knave.", "Assume William is a knight. No contradiction is found in their claim that If William is a knight then Aiden is a knave.", "Assume Aurora is a knight. No contradiction is found in their claim that William is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 0), ('lying', 2)), ('not', ('lying', 2)), ('->', ('telling-truth', 2), ('lying', 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 3 inhabitants: Ella, Aria, and Mia. According to Ella, \"Aria is a knight or Ella is a knight\". \"Ella is a knave or Ella is a knight,\" Aria mentioned. \"Aria is a knave,\" Mia mentioned. So who is a knight and who is a knave?", "names": ["Ella", "Aria", "Mia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Ella is a knight, Aria is a knight, and Mia is a knave.", "solution_text_format": "(1) Ella is a knight\n(2) Aria is a knight\n(3) 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 Ella is a knight. No contradiction is found in their claim that Aria is a knight or Ella is a knight.", "Assume Aria is a knight. No contradiction is found in their claim that Ella is a knave or Ella is a knight.", "Mia cannot be a knight, because this would contradict the claim of their own that Aria is a knave.", "Assume Mia 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', 1), ('telling-truth', 0)), ('or', ('lying', 0), ('telling-truth', 0)), ('lying', 1))", "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 3 inhabitants: Benjamin, Evelyn, and Scarlett. Benjamin was heard saying, \"Evelyn is a knight and Scarlett is a knave\". Evelyn noted, \"Scarlett is a knight and Benjamin is a knight\". According to Scarlett, \"Evelyn is a knight if and only if Benjamin is a knight\". So who is a knight and who is a knave?", "names": ["Benjamin", "Evelyn", "Scarlett"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Benjamin is a knave, Evelyn is a knave, and Scarlett is a knight.", "solution_text_format": "(1) Benjamin is a knave\n(2) Evelyn is a knave\n(3) 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 Evelyn is a knight and Scarlett is a knave.", "Assume Evelyn is a knight. No contradiction is found in their claim that Scarlett is a knight and Benjamin is a knight.", "Scarlett cannot be a knight, because this would contradict the claim of Benjamin that Evelyn is a knight and Scarlett is a knave.", "Scarlett cannot be a knave, because this would contradict the claim of Evelyn that Scarlett is a knight and Benjamin is a knight.", "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 Benjamin that Evelyn is a knight and Scarlett is a knave.", "We have exhausted all possibilities for Evelyn, so let us go back and reconsider Benjamin.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Evelyn is a knight and Scarlett is a knave.", "Evelyn cannot be a knight, because this would contradict the claim of their own that Scarlett is a knight and Benjamin is a knight.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Scarlett is a knight and Benjamin is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that Evelyn is a knight if and only if Benjamin is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('lying', 2)), ('and', ('telling-truth', 2), ('telling-truth', 0)), ('<=>', ('telling-truth', 1), ('telling-truth', 0)))", "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 3 inhabitants: Owen, Henry, and Emily. As Owen put it, \"Henry is a knave\". Henry asserted: \"Emily is a knight and Emily is a knave\". Emily stated, \"Henry is not a knight\". So who is a knight and who is a knave?", "names": ["Owen", "Henry", "Emily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Owen is a knight, Henry is a knave, and Emily is a knight.", "solution_text_format": "(1) Owen is a knight\n(2) Henry is a knave\n(3) 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 Henry is a knave.", "Henry cannot be a knight, because this would contradict the claim of Owen that Henry is a knave.", "Assume Henry is a knave. No contradiction is found in their false claim that Emily is a knight and Emily is a knave.", "Assume Emily is a knight. No contradiction is found in their claim that Henry is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('and', ('telling-truth', 2), ('lying', 2)), ('not', ('telling-truth', 1)))", "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 3 inhabitants: Elizabeth, James, and Alexander. Elizabeth stated, \"James is a knave and James is a knight\". \"Elizabeth is not a knave,\" James declared. Alexander was heard saying, \"Elizabeth is not a knight\". So who is a knight and who is a knave?", "names": ["Elizabeth", "James", "Alexander"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Elizabeth is a knave, James is a knave, and Alexander is a knight.", "solution_text_format": "(1) Elizabeth is a knave\n(2) James is a knave\n(3) 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": ["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.", "James cannot be a knight, because this would contradict the claim of their own that Elizabeth is not a knave.", "Assume James is a knave. No contradiction is found in their false claim that Elizabeth is not a knave.", "Assume Alexander is a knight. No contradiction is found in their claim that Elizabeth is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('telling-truth', 1)), ('not', ('lying', 0)), ('not', ('telling-truth', 0)))", "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 3 inhabitants: Jack, Elizabeth, and Samuel. \"Elizabeth is a knight if and only if Jack is a knight,\" Jack claimed. Elizabeth asserted: \"If Jack is a knave then Samuel is a knave\". \"If Elizabeth is a knight then Jack is a knave\" - Samuel. So who is a knight and who is a knave?", "names": ["Jack", "Elizabeth", "Samuel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Jack is a knight, Elizabeth is a knight, and Samuel is a knave.", "solution_text_format": "(1) Jack is a knight\n(2) Elizabeth is a knight\n(3) 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 Elizabeth is a knight if and only if Jack is a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that If Jack is a knave then Samuel is a knave.", "Samuel cannot be a knight, because this would contradict the claim of their own that If Elizabeth is a knight then Jack is a knave.", "Assume Samuel is a knave. No contradiction is found in their false claim that If Elizabeth is a knight then Jack is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('telling-truth', 0)), ('->', ('lying', 0), ('lying', 2)), ('->', ('telling-truth', 1), ('lying', 0)))", "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 3 inhabitants: Oliver, David, and James. Oliver commented, \"David is a knight and James is a knight\". \"Oliver is a knave if and only if James is a knave\" - David. James remarked, \"David is not a knave\". So who is a knight and who is a knave?", "names": ["Oliver", "David", "James"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Oliver is a knight, David is a knight, and James is a knight.", "solution_text_format": "(1) Oliver is a knight\n(2) David is a knight\n(3) 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 Oliver is a knight. No contradiction is found in their claim that David is a knight and James is a knight.", "Assume David is a knight. No contradiction is found in their claim that Oliver is a knave if and only if James is a knave.", "Assume James is a knight. No contradiction is found in their claim that David is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('telling-truth', 2)), ('<=>', ('lying', 0), ('lying', 2)), ('not', ('lying', 1)))", "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 3 inhabitants: Mason, Ava, and Harper. In Mason's words: \"Harper is a knight and Mason is a knight\". Ava stated, \"Harper is a knight if and only if Mason is a knight\". Harper expressed that Mason is not a knight. So who is a knight and who is a knave?", "names": ["Mason", "Ava", "Harper"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Mason is a knave, Ava is a knave, and Harper is a knight.", "solution_text_format": "(1) Mason is a knave\n(2) Ava is a knave\n(3) 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 Mason is a knight. No contradiction is found in their claim that Harper is a knight and Mason is a knight.", "Harper cannot be a knight, because this would contradict the claim of their own that Mason is not a knight.", "Harper cannot be a knave, because this would contradict the claim of Mason that Harper is a knight and Mason is a knight.", "We have exhausted all possibilities for Harper, so let us go back and reconsider Mason.", "Assume Mason is a knave. No contradiction is found in their false claim that Harper is a knight and Mason is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that Mason is not a knight.", "Ava cannot be a knight, because this would contradict the claim of their own that Harper is a knight if and only if Mason is a knight.", "Assume Ava is a knave. No contradiction is found in their false claim that Harper is a knight if and only if Mason is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 2), ('telling-truth', 0)), ('<=>', ('telling-truth', 2), ('telling-truth', 0)), ('not', ('telling-truth', 0)))", "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 3 inhabitants: Emily, Sebastian, and Zoey. According to Emily, \"If Emily is a knight then Zoey is a knave\". As Sebastian put it, \"Zoey is a knight and Zoey is a knave\". \"Emily is a knave or Zoey is a knight\" - Zoey. So who is a knight and who is a knave?", "names": ["Emily", "Sebastian", "Zoey"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false], "solution_text": "Emily is a knight, Sebastian is a knave, and Zoey is a knave.", "solution_text_format": "(1) Emily is a knight\n(2) Sebastian is a knave\n(3) 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 Emily is a knight. No contradiction is found in their claim that If Emily is a knight then Zoey is a knave.", "Zoey cannot be a knight, because this would contradict the claim of Emily that If Emily is a knight then Zoey is a knave.", "Assume Zoey is a knave. No contradiction is found in their false claim that Emily is a knave or Zoey is a knight.", "Sebastian cannot be a knight, because this would contradict the claim of their own that Zoey is a knight and Zoey is a knave.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Zoey is a knight and Zoey is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 0), ('lying', 2)), ('and', ('telling-truth', 2), ('lying', 2)), ('or', ('lying', 0), ('telling-truth', 2)))", "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 3 inhabitants: Lily, Henry, and Daniel. Lily was heard saying, \"Henry is a knight and Lily is a knight\". \"Daniel is a knight\" - Henry. In a statement by Daniel: \"Lily is a knight if and only if Daniel is a knight\". So who is a knight and who is a knave?", "names": ["Lily", "Henry", "Daniel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Lily is a knight, Henry is a knight, and Daniel is a knight.", "solution_text_format": "(1) Lily is a knight\n(2) Henry is a knight\n(3) 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 Lily is a knight. No contradiction is found in their claim that Henry is a knight and Lily is a knight.", "Assume Henry 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 Lily is a knight if and only if Daniel is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('telling-truth', 0)), ('telling-truth', 2), ('<=>', ('telling-truth', 0), ('telling-truth', 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 3 inhabitants: Liam, Michael, and Sofia. In Liam's words: \"If Michael is a knave then Liam is a knight\". According to Michael, \"If Sofia is a knight then Michael is a knight\". \"Sofia is a knight if and only if Liam is a knave\" - Sofia. So who is a knight and who is a knave?", "names": ["Liam", "Michael", "Sofia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Liam is a knave, Michael is a knave, and Sofia is a knight.", "solution_text_format": "(1) Liam is a knave\n(2) Michael is a knave\n(3) 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 Liam is a knight. No contradiction is found in their claim that If Michael is a knave then Liam is a knight.", "Assume Michael is a knight. No contradiction is found in their claim that If Sofia is a knight then Michael is a knight.", "Sofia cannot be a knight, because this would contradict the claim of their own that Sofia is a knight if and only if Liam is a knave.", "Sofia cannot be a knave, because this would contradict the false claim of their own that Sofia is a knight if and only if Liam is a knave.", "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 If Sofia is a knight then Michael is a knight.", "Sofia cannot be a knight, because this would contradict the claim of their own that Sofia is a knight if and only if Liam is a knave.", "Sofia cannot be a knave, because this would contradict the false claim of Michael that If Sofia is a knight then Michael is a knight.", "We have exhausted all possibilities for Sofia and Michael, so let us go back and reconsider Liam.", "Assume Liam is a knave. No contradiction is found in their false claim that If Michael is a knave then Liam is a knight.", "Michael cannot be a knight, because this would contradict the false claim of Liam that If Michael is a knave then Liam is a knight.", "Assume Michael is a knave. No contradiction is found in their false claim that If Sofia is a knight then Michael is a knight.", "Assume Sofia is a knight. No contradiction is found in their claim that Sofia is a knight if and only if Liam is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 1), ('telling-truth', 0)), ('->', ('telling-truth', 2), ('telling-truth', 1)), ('<=>', ('telling-truth', 2), ('lying', 0)))", "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 3 inhabitants: Sebastian, Liam, and Victoria. In Sebastian's words: \"Liam is a knave or Victoria is a knight\". According to Liam, \"Sebastian is a knave or Victoria is a knave\". Victoria asserted: \"Sebastian is a knight if and only if Sebastian is a knave\". So who is a knight and who is a knave?", "names": ["Sebastian", "Liam", "Victoria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Sebastian is a knave, Liam is a knight, and Victoria is a knave.", "solution_text_format": "(1) Sebastian is a knave\n(2) Liam is a knight\n(3) 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 Sebastian is a knight. No contradiction is found in their claim that Liam is a knave or Victoria is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that Sebastian is a knave or Victoria is a knave.", "Victoria cannot be a knight, because this would contradict the claim of Liam that Sebastian is a knave or Victoria is a knave.", "Victoria cannot be a knave, because this would contradict the claim of Sebastian that Liam is a knave or Victoria is a knight.", "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 Sebastian is a knave or Victoria is a knave.", "Victoria 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.", "Victoria cannot be a knave, because this would contradict the false claim of Liam that Sebastian is a knave or Victoria is a knave.", "We have exhausted all possibilities for Victoria and Liam, 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 knave or Victoria is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that Sebastian is a knave or Victoria is a knave.", "Victoria cannot be a knight, because this would contradict the false claim of Sebastian that Liam is a knave or Victoria is a knight.", "Assume Victoria is a knave. No contradiction is found in their false claim that Sebastian is a knight if and only if Sebastian is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('telling-truth', 2)), ('or', ('lying', 0), ('lying', 2)), ('<=>', ('telling-truth', 0), ('lying', 0)))", "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 3 inhabitants: Owen, Jack, and Sofia. According to Owen, \"Sofia is a knave\". In a statement by Jack: \"Jack is a knight or Sofia is a knight\". \"Owen is a knave if and only if Sofia is a knight,\" Sofia mentioned. So who is a knight and who is a knave?", "names": ["Owen", "Jack", "Sofia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Owen is a knave, Jack is a knight, and Sofia is a knight.", "solution_text_format": "(1) Owen is a knave\n(2) Jack is a knight\n(3) 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 Owen 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 Owen that Sofia is a knave.", "Sofia cannot be a knave, because this would contradict the false claim of their own that Owen is a knave if and only if Sofia is a knight.", "We have exhausted all possibilities for 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.", "Assume Sofia is a knight. No contradiction is found in their claim that Owen is a knave if and only if Sofia is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that Jack is a knight or Sofia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 2), ('or', ('telling-truth', 1), ('telling-truth', 2)), ('<=>', ('lying', 0), ('telling-truth', 2)))", "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 3 inhabitants: Elizabeth, Zoey, and David. \"Elizabeth is a knight or Zoey is a knight,\" Elizabeth claimed. Zoey commented, \"David is a knave if and only if Elizabeth is a knave\". \"Zoey is a knave\" - David. So who is a knight and who is a knave?", "names": ["Elizabeth", "Zoey", "David"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Elizabeth is a knave, Zoey is a knave, and David is a knight.", "solution_text_format": "(1) Elizabeth is a knave\n(2) Zoey is a knave\n(3) 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 Elizabeth is a knight. No contradiction is found in their claim that Elizabeth is a knight or Zoey is a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that David is a knave if and only if Elizabeth is a knave.", "David cannot be a knight, because this would contradict the claim of their own that Zoey is a knave.", "David cannot be a knave, because this would contradict the claim of Zoey that David is a knave if and only if Elizabeth is a knave.", "We have exhausted all possibilities for David, so let us go back and reconsider Zoey.", "Assume Zoey is a knave. No contradiction is found in their false claim that David is a knave if and only if Elizabeth is a knave.", "David cannot be a knight, because this would contradict the false claim of Zoey that David is a knave if and only if Elizabeth is a knave.", "David 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 David and Zoey, so let us go back and reconsider Elizabeth.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Elizabeth is a knight or Zoey is a knight.", "Zoey cannot be a knight, because this would contradict the false claim of Elizabeth that Elizabeth is a knight or Zoey is a knight.", "Assume Zoey is a knave. No contradiction is found in their false claim that David is a knave if and only if Elizabeth is a knave.", "Assume David is a knight. No contradiction is found in their claim that Zoey is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 0), ('telling-truth', 1)), ('<=>', ('lying', 2), ('lying', 0)), ('lying', 1))", "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 3 inhabitants: Jacob, Aiden, and Liam. Jacob noted, \"If Liam is a knave then Liam is a knight\". Aiden said, \"Jacob is a knight if and only if Jacob is a knave.\" Liam said that Jacob is a knave or Liam is a knight. So who is a knight and who is a knave?", "names": ["Jacob", "Aiden", "Liam"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Jacob is a knight, Aiden is a knave, and Liam is a knight.", "solution_text_format": "(1) Jacob is a knight\n(2) Aiden is a knave\n(3) 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 Jacob is a knight. No contradiction is found in their claim that If Liam is a knave then Liam is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that Jacob is a knave or Liam is a knight.", "Aiden cannot be a knight, because this would contradict the claim of their own that Jacob is a knight if and only if Jacob is a knave.", "Assume Aiden is a knave. No contradiction is found in their false claim that Jacob is a knight if and only if Jacob is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 2), ('telling-truth', 2)), ('<=>', ('telling-truth', 0), ('lying', 0)), ('or', ('lying', 0), ('telling-truth', 2)))", "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 3 inhabitants: Sebastian, Joseph, and Samuel. Sebastian expressed that Samuel is not a knight. \"Joseph is a knight and Sebastian is a knave,\" Joseph mentioned. Samuel commented, \"If Joseph is a knight then Sebastian is a knight\". So who is a knight and who is a knave?", "names": ["Sebastian", "Joseph", "Samuel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Sebastian is a knave, Joseph is a knave, and Samuel is a knight.", "solution_text_format": "(1) Sebastian is a knave\n(2) Joseph is a knave\n(3) 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 Sebastian 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 Sebastian that Samuel is not a knight.", "Samuel cannot be a knave, because this would contradict the false claim of their own that If Joseph is a knight then Sebastian is a knight.", "We have exhausted all possibilities for Samuel, so let us go back and reconsider Sebastian.", "Assume Sebastian 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 Joseph is a knight then Sebastian is a knight.", "Joseph cannot be a knight, because this would contradict the claim of Samuel that If Joseph is a knight then Sebastian is a knight.", "Assume Joseph is a knave. No contradiction is found in their false claim that Joseph is a knight and Sebastian is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 2)), ('and', ('telling-truth', 1), ('lying', 0)), ('->', ('telling-truth', 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 3 inhabitants: Scarlett, Aria, and Henry. In a statement by Scarlett: \"Aria is not a knave\". Aria remarked, \"Henry is a knight if and only if Henry is a knave\". Henry expressed that Scarlett is a knight and Henry is a knight. So who is a knight and who is a knave?", "names": ["Scarlett", "Aria", "Henry"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false], "solution_text": "Scarlett is a knave, Aria is a knave, and Henry is a knave.", "solution_text_format": "(1) Scarlett is a knave\n(2) Aria is a knave\n(3) 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 Scarlett 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 Henry is a knight if and only if Henry is a knave.", "Aria cannot be a knave, because this would contradict the claim of Scarlett that Aria is not a knave.", "We have exhausted all possibilities for Aria, so let us go back and reconsider Scarlett.", "Assume Scarlett 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 Scarlett that Aria is not a knave.", "Assume Aria is a knave. No contradiction is found in their false claim that Henry is a knight if and only if Henry is a knave.", "Henry cannot be a knight, because this would contradict the claim of their own that Scarlett is a knight and Henry is a knight.", "Assume Henry is a knave. No contradiction is found in their false claim that Scarlett is a knight and Henry is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 1)), ('<=>', ('telling-truth', 2), ('lying', 2)), ('and', ('telling-truth', 0), ('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 3 inhabitants: Olivia, Joseph, and Abigail. \"Abigail is a knight,\" Olivia mentioned. Joseph expressed that Joseph is a knight and Abigail is a knight. Abigail said, \"Olivia is a knave or Joseph is a knave.\" So who is a knight and who is a knave?", "names": ["Olivia", "Joseph", "Abigail"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Olivia is a knight, Joseph is a knave, and Abigail is a knight.", "solution_text_format": "(1) Olivia is a knight\n(2) Joseph is a knave\n(3) 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 Olivia 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 Olivia is a knave or Joseph is a knave.", "Joseph cannot be a knight, because this would contradict the claim of Abigail that Olivia is a knave or Joseph is a knave.", "Assume Joseph is a knave. No contradiction is found in their false claim that Joseph is a knight and Abigail is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 2), ('and', ('telling-truth', 1), ('telling-truth', 2)), ('or', ('lying', 0), ('lying', 1)))", "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 3 inhabitants: Mia, Zoey, and Jacob. Mia commented, \"Jacob is a knight if and only if Mia is a knight\". As Zoey put it, \"Jacob is a knave or Mia is a knight\". \"Zoey is a knave,\" Jacob mentioned. So who is a knight and who is a knave?", "names": ["Mia", "Zoey", "Jacob"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Mia is a knave, Zoey is a knave, and Jacob is a knight.", "solution_text_format": "(1) Mia is a knave\n(2) Zoey is a knave\n(3) 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 Mia is a knight. No contradiction is found in their claim that Jacob is a knight if and only if Mia is a knight.", "Assume Jacob 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 Jacob that Zoey is a knave.", "Zoey cannot be a knave, because this would contradict the false claim of their own that Jacob is a knave or Mia is a knight.", "We have exhausted all possibilities for Zoey, so let us go back and reconsider Jacob.", "Jacob cannot be a knave, because this would contradict the claim of Mia that Jacob is a knight if and only if Mia is a knight.", "We have exhausted all possibilities for Jacob, so let us go back and reconsider Mia.", "Assume Mia is a knave. No contradiction is found in their false claim that Jacob is a knight if and only if Mia is a knight.", "Assume Jacob 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 their own that Jacob is a knave or Mia is a knight.", "Assume Zoey is a knave. No contradiction is found in their false claim that Jacob is a knave or Mia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 2), ('telling-truth', 0)), ('or', ('lying', 2), ('telling-truth', 0)), ('lying', 1))", "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 3 inhabitants: Isabella, Samuel, and Luke. Isabella commented, \"Luke is a knave or Samuel is a knave\". \"Isabella is a knave,\" Samuel mentioned. Luke stated, \"Luke is a knight if and only if Samuel is a knight\". So who is a knight and who is a knave?", "names": ["Isabella", "Samuel", "Luke"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Isabella is a knave, Samuel is a knight, and Luke is a knight.", "solution_text_format": "(1) Isabella is a knave\n(2) Samuel is a knight\n(3) 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 Isabella is a knight. No contradiction is found in their claim that Luke is a knave or Samuel is a knave.", "Assume Luke is a knight. No contradiction is found in their claim that Luke is a knight if and only if Samuel is a knight.", "Samuel cannot be a knight, because this would contradict the claim of Isabella that Luke is a knave or Samuel is a knave.", "Samuel cannot be a knave, because this would contradict the claim of Luke that Luke 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 Luke.", "Assume Luke is a knave. No contradiction is found in their false claim that Luke is a knight if and only if Samuel is a knight.", "Samuel cannot be a knight, because this would contradict the claim of their own that Isabella is a knave.", "Samuel cannot be a knave, because this would contradict the false claim of Luke that Luke is a knight if and only if Samuel is a knight.", "We have exhausted all possibilities for Samuel and Luke, so let us go back and reconsider Isabella.", "Assume Isabella is a knave. No contradiction is found in their false claim that Luke is a knave or Samuel is a knave.", "Assume Luke is a knight. No contradiction is found in their claim that Luke is a knight if and only if Samuel is a knight.", "Assume Samuel is a knight. No contradiction is found in their claim that Isabella is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 2), ('lying', 1)), ('lying', 0), ('<=>', ('telling-truth', 2), ('telling-truth', 1)))", "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 3 inhabitants: Joseph, Riley, and William. Joseph said that If Riley is a knave then Riley is a knight. \"William is a knave if and only if Joseph is a knave\" - Riley. William said that Riley is not a knave. So who is a knight and who is a knave?", "names": ["Joseph", "Riley", "William"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Joseph is a knight, Riley is a knight, and William is a knight.", "solution_text_format": "(1) Joseph is a knight\n(2) Riley is a knight\n(3) 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 Joseph is a knight. No contradiction is found in their claim that If Riley is a knave then Riley is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that William is a knave if and only if Joseph is a knave.", "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": "(('->', ('lying', 1), ('telling-truth', 1)), ('<=>', ('lying', 2), ('lying', 0)), ('not', ('lying', 1)))", "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 3 inhabitants: Evelyn, Benjamin, and William. Evelyn said that If Benjamin is a knight then William is a knight. In a statement by Benjamin: \"Evelyn is not a knave\". William commented, \"Evelyn is a knight\". So who is a knight and who is a knave?", "names": ["Evelyn", "Benjamin", "William"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Evelyn is a knight, Benjamin is a knight, and William is a knight.", "solution_text_format": "(1) Evelyn is a knight\n(2) Benjamin is a knight\n(3) 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 Evelyn is a knight. No contradiction is found in their claim that If Benjamin is a knight then William is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that Evelyn is not a knave.", "Assume William is a knight. No contradiction is found in their claim that Evelyn is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 1), ('telling-truth', 2)), ('not', ('lying', 0)), ('telling-truth', 0))", "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 3 inhabitants: Sophia, Noah, and Abigail. Sophia commented, \"Sophia is a knight if and only if Noah is a knave\". As Noah put it, \"Sophia is a knight\". Abigail was heard saying, \"Noah is not a knave\". So who is a knight and who is a knave?", "names": ["Sophia", "Noah", "Abigail"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false], "solution_text": "Sophia is a knave, Noah is a knave, and Abigail is a knave.", "solution_text_format": "(1) Sophia is a knave\n(2) Noah is a knave\n(3) 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 Sophia is a knight. No contradiction is found in their claim that Sophia is a knight if and only if Noah is a knave.", "Noah cannot be a knight, because this would contradict the claim of Sophia that Sophia is a knight if and only if Noah is a knave.", "Noah 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 Noah, 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 Noah is a knave.", "Noah cannot be a knight, because this would contradict the false claim of Sophia that Sophia 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 Sophia is a knight.", "Abigail cannot be a knight, because this would contradict the claim of their own that Noah is not a knave.", "Assume Abigail 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', 0), ('lying', 1)), ('telling-truth', 0), ('not', ('lying', 1)))", "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 3 inhabitants: Daniel, Luke, and Samuel. \"Samuel is not a knight\" - Daniel. \"Samuel is not a knave,\" Luke declared. \"Luke is a knave and Luke is a knight,\" Samuel mentioned. So who is a knight and who is a knave?", "names": ["Daniel", "Luke", "Samuel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false], "solution_text": "Daniel is a knight, Luke is a knave, and Samuel is a knave.", "solution_text_format": "(1) Daniel is a knight\n(2) Luke is a knave\n(3) 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 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 Luke is a knave and Luke is a knight.", "Luke cannot be a knight, because this would contradict the claim of their own that Samuel is not a knave.", "Assume Luke 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": "(('not', ('telling-truth', 2)), ('not', ('lying', 2)), ('and', ('lying', 1), ('telling-truth', 1)))", "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 3 inhabitants: David, Daniel, and Abigail. \"Daniel is a knight and Daniel is a knave\" - David. \"Abigail is a knight and David is a knight,\" Daniel declared. Abigail told you that David is a knave. So who is a knight and who is a knave?", "names": ["David", "Daniel", "Abigail"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "David is a knave, Daniel is a knave, and Abigail is a knight.", "solution_text_format": "(1) David is a knave\n(2) Daniel is a knave\n(3) 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": ["David cannot be a knight, because this would contradict the claim of their own that Daniel is a knight and Daniel is a knave.", "Assume David 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 Abigail is a knight and David is a knight.", "Assume Daniel is a knave. No contradiction is found in their false claim that Abigail is a knight and David is a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that David is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('lying', 1)), ('and', ('telling-truth', 2), ('telling-truth', 0)), ('lying', 0))", "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 3 inhabitants: Riley, David, and Jackson. In a statement by Riley: \"If David is a knave then Jackson is a knight\". David was heard saying, \"Jackson is a knave\". \"David is a knight if and only if Jackson is a knight,\" Jackson claimed. So who is a knight and who is a knave?", "names": ["Riley", "David", "Jackson"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Riley is a knight, David is a knight, and Jackson is a knave.", "solution_text_format": "(1) Riley is a knight\n(2) David is a knight\n(3) 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 Riley is a knight. No contradiction is found in their claim that If David is a knave then Jackson is a knight.", "Assume David 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 David that Jackson is a knave.", "Assume Jackson is a knave. No contradiction is found in their false claim that David is a knight if and only if Jackson is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 1), ('telling-truth', 2)), ('lying', 2), ('<=>', ('telling-truth', 1), ('telling-truth', 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 3 inhabitants: Alexander, Amelia, and Jackson. As Alexander put it, \"Jackson is a knight or Jackson is a knave\". Amelia commented, \"Jackson is a knave or Jackson is a knight\". Jackson remarked, \"Amelia is a knave\". So who is a knight and who is a knave?", "names": ["Alexander", "Amelia", "Jackson"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Alexander is a knight, Amelia is a knight, and Jackson is a knave.", "solution_text_format": "(1) Alexander is a knight\n(2) Amelia is a knight\n(3) 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 Alexander is a knight. No contradiction is found in their claim that Jackson is a knight or Jackson is a knave.", "Assume Jackson 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 Jackson that Amelia is a knave.", "Amelia cannot be a knave, because this would contradict the false claim of their own that Jackson is a knave or Jackson is a knight.", "We have exhausted all possibilities for Amelia, so let us go back and reconsider Jackson.", "Assume Jackson is a knave. No contradiction is found in their false claim that Amelia is a knave.", "Assume Amelia is a knight. No contradiction is found in their claim that Jackson is a knave or Jackson is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 2), ('lying', 2)), ('or', ('lying', 2), ('telling-truth', 2)), ('lying', 1))", "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 3 inhabitants: Michael, Benjamin, and Lucas. In a statement by Michael: \"If Lucas is a knave then Benjamin is a knight\". Benjamin remarked, \"Lucas is a knave or Michael is a knight\". \"Michael is a knave,\" Lucas declared. So who is a knight and who is a knave?", "names": ["Michael", "Benjamin", "Lucas"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Michael is a knight, Benjamin is a knight, and Lucas is a knave.", "solution_text_format": "(1) Michael is a knight\n(2) Benjamin is a knight\n(3) 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 Michael is a knight. No contradiction is found in their claim that If Lucas is a knave then Benjamin is a knight.", "Lucas cannot be a knight, because this would contradict the claim of their own that Michael is a knave.", "Assume Lucas is a knave. No contradiction is found in their false claim that Michael is a knave.", "Assume Benjamin is a knight. No contradiction is found in their claim that Lucas is a knave or Michael is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 2), ('telling-truth', 1)), ('or', ('lying', 2), ('telling-truth', 0)), ('lying', 0))", "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 3 inhabitants: William, Emily, and Victoria. William expressed that Emily is a knight. Emily was heard saying, \"Victoria is a knight and William is a knave\". According to Victoria, \"William is a knight or Emily is a knight\". So who is a knight and who is a knave?", "names": ["William", "Emily", "Victoria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false], "solution_text": "William is a knave, Emily is a knave, and Victoria is a knave.", "solution_text_format": "(1) William is a knave\n(2) Emily is a knave\n(3) 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 William is a knight. No contradiction is found in their claim that Emily is a knight.", "Emily cannot be a knight, because this would contradict the claim of their own that Victoria is a knight and William is a knave.", "Emily cannot be a knave, because this would contradict the claim of William that Emily is a knight.", "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 a knight.", "Emily cannot be a knight, because this would contradict the false claim of William that Emily is a knight.", "Assume Emily is a knave. No contradiction is found in their false claim that Victoria is a knight and William is a knave.", "Victoria cannot be a knight, because this would contradict the false claim of Emily that Victoria is a knight and William is a knave.", "Assume Victoria is a knave. No contradiction is found in their false claim that William is a knight or Emily is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 1), ('and', ('telling-truth', 2), ('lying', 0)), ('or', ('telling-truth', 0), ('telling-truth', 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 3 inhabitants: Joseph, Jacob, and Victoria. \"Joseph is a knight and Jacob is a knight,\" Joseph claimed. As Jacob put it, \"Joseph is a knave and Victoria is a knave\". Victoria told you that Jacob is a knave and Jacob is a knight. So who is a knight and who is a knave?", "names": ["Joseph", "Jacob", "Victoria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Joseph is a knave, Jacob is a knight, and Victoria is a knave.", "solution_text_format": "(1) Joseph is a knave\n(2) Jacob is a knight\n(3) 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 Joseph is a knight. No contradiction is found in their claim that Joseph is a knight and Jacob is a knight.", "Jacob cannot be a knight, because this would contradict the claim of their own that Joseph is a knave and Victoria is a knave.", "Jacob cannot be a knave, because this would contradict the claim of Joseph that Joseph is a knight and Jacob is a knight.", "We have exhausted all possibilities for Jacob, so let us go back and reconsider Joseph.", "Assume Joseph is a knave. No contradiction is found in their false claim that Joseph is a knight and Jacob is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that Joseph is a knave and Victoria is a knave.", "Victoria cannot be a knight, because this would contradict the claim of Jacob that Joseph is a knave and Victoria is a knave.", "Assume Victoria is a knave. No contradiction is found in their false claim that Jacob is a knave and Jacob is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 0), ('telling-truth', 1)), ('and', ('lying', 0), ('lying', 2)), ('and', ('lying', 1), ('telling-truth', 1)))", "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 3 inhabitants: Sofia, Grace, and Henry. As Sofia put it, \"Sofia is a knight and Henry is a knight\". Grace expressed that If Henry is a knight then Grace is a knight. According to Henry, \"Grace is a knave if and only if Grace is a knight\". So who is a knight and who is a knave?", "names": ["Sofia", "Grace", "Henry"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Sofia is a knave, Grace is a knight, and Henry is a knave.", "solution_text_format": "(1) Sofia is a knave\n(2) Grace is a knight\n(3) 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 Sofia is a knight. No contradiction is found in their claim that Sofia is a knight and Henry is a knight.", "Henry cannot be a knight, because this would contradict the claim of their own that Grace is a knave if and only if Grace is a knight.", "Henry cannot be a knave, because this would contradict the claim of Sofia that Sofia is a knight and Henry is a knight.", "We have exhausted all possibilities for Henry, so let us go back and reconsider Sofia.", "Assume Sofia is a knave. No contradiction is found in their false claim that Sofia is a knight and Henry is a knight.", "Henry cannot be a knight, because this would contradict the claim of their own that Grace is a knave if and only if Grace is a knight.", "Assume Henry is a knave. No contradiction is found in their false claim that Grace is a knave if and only if Grace is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that If Henry is a knight then Grace is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 0), ('telling-truth', 2)), ('->', ('telling-truth', 2), ('telling-truth', 1)), ('<=>', ('lying', 1), ('telling-truth', 1)))", "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 3 inhabitants: Mia, Amelia, and Jackson. Mia said that Amelia is not a knave. Amelia commented, \"Mia is a knight or Mia is a knave\". Jackson said, \"If Mia is a knight then Mia is a knave.\" So who is a knight and who is a knave?", "names": ["Mia", "Amelia", "Jackson"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Mia is a knight, Amelia is a knight, and Jackson is a knave.", "solution_text_format": "(1) Mia is a knight\n(2) Amelia is a knight\n(3) 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 Mia 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 Mia is a knight or Mia is a knave.", "Jackson cannot be a knight, because this would contradict the claim of their own that If Mia is a knight then Mia is a knave.", "Assume Jackson is a knave. No contradiction is found in their false claim that If Mia is a knight then Mia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 1)), ('or', ('telling-truth', 0), ('lying', 0)), ('->', ('telling-truth', 0), ('lying', 0)))", "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 3 inhabitants: Penelope, Luke, and Michael. In a statement by Penelope: \"Luke is a knave if and only if Michael is a knave\". \"Penelope is a knight and Luke is a knight,\" Luke claimed. Michael asserted: \"Michael is a knight if and only if Luke is a knight\". So who is a knight and who is a knave?", "names": ["Penelope", "Luke", "Michael"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Penelope is a knight, Luke is a knight, and Michael is a knight.", "solution_text_format": "(1) Penelope is a knight\n(2) Luke is a knight\n(3) 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 Penelope is a knight. No contradiction is found in their claim that Luke is a knave if and only if Michael is a knave.", "Assume Luke is a knight. No contradiction is found in their claim that Penelope is a knight and Luke is a knight.", "Assume Michael is a knight. No contradiction is found in their claim that Michael is a knight if and only if Luke is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('lying', 2)), ('and', ('telling-truth', 0), ('telling-truth', 1)), ('<=>', ('telling-truth', 2), ('telling-truth', 1)))", "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 3 inhabitants: Ethan, Scarlett, and Sophia. In a statement by Ethan: \"Ethan is a knight or Sophia is a knave\". Scarlett asserted: \"Ethan is a knave\". Sophia asserted: \"Scarlett is a knave\". So who is a knight and who is a knave?", "names": ["Ethan", "Scarlett", "Sophia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Ethan is a knight, Scarlett is a knave, and Sophia is a knight.", "solution_text_format": "(1) Ethan is a knight\n(2) Scarlett is a knave\n(3) 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 Ethan is a knight. No contradiction is found in their claim that Ethan is a knight or Sophia is a knave.", "Assume Sophia 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 their own that Ethan is a knave.", "Assume Scarlett 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": "(('or', ('telling-truth', 0), ('lying', 2)), ('lying', 0), ('lying', 1))", "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 3 inhabitants: David, Zoey, and Charlotte. David commented, \"Charlotte is a knave and Zoey is a knave\". \"Charlotte is a knave or Charlotte is a knight,\" Zoey mentioned. In Charlotte's words: \"Zoey is a knight or David is a knight\". So who is a knight and who is a knave?", "names": ["David", "Zoey", "Charlotte"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "David is a knave, Zoey is a knight, and Charlotte is a knight.", "solution_text_format": "(1) David is a knave\n(2) Zoey is a knight\n(3) 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 David is a knight. No contradiction is found in their claim that Charlotte is a knave and Zoey is a knave.", "Charlotte cannot be a knight, because this would contradict the claim of David that Charlotte is a knave and Zoey is a knave.", "Charlotte cannot be a knave, because this would contradict the false claim of their own that Zoey is a knight or David is a knight.", "We have exhausted all possibilities for Charlotte, so let us go back and reconsider David.", "Assume David is a knave. No contradiction is found in their false claim that Charlotte is a knave and Zoey is a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that Zoey is a knight or David is a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that Charlotte is a knave or Charlotte is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('lying', 1)), ('or', ('lying', 2), ('telling-truth', 2)), ('or', ('telling-truth', 1), ('telling-truth', 0)))", "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 3 inhabitants: Sebastian, Riley, and Avery. Sebastian remarked, \"Avery is not a knave\". Riley said that If Avery is a knave then Sebastian is a knight. In a statement by Avery: \"Riley is a knave or Avery is a knight\". So who is a knight and who is a knave?", "names": ["Sebastian", "Riley", "Avery"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Sebastian is a knight, Riley is a knight, and Avery is a knight.", "solution_text_format": "(1) Sebastian is a knight\n(2) Riley is a knight\n(3) 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 Sebastian 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 Riley is a knave or Avery is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that If Avery is a knave then Sebastian is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 2)), ('->', ('lying', 2), ('telling-truth', 0)), ('or', ('lying', 1), ('telling-truth', 2)))", "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 3 inhabitants: Aurora, Liam, and Aiden. In a statement by Aurora: \"Aiden is a knave and Liam is a knave\". As Liam put it, \"Aurora is a knave and Aiden is a knight\". \"If Aurora is a knave then Aiden is a knight,\" Aiden mentioned. So who is a knight and who is a knave?", "names": ["Aurora", "Liam", "Aiden"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Aurora is a knave, Liam is a knight, and Aiden is a knight.", "solution_text_format": "(1) Aurora is a knave\n(2) Liam is a knight\n(3) 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 Aurora is a knight. No contradiction is found in their claim that Aiden is a knave and Liam is a knave.", "Aiden cannot be a knight, because this would contradict the claim of Aurora that Aiden is a knave and Liam is a knave.", "Aiden cannot be a knave, because this would contradict the false claim of their own that If Aurora is a knave then Aiden is a knight.", "We have exhausted all possibilities for 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 Liam is a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that If Aurora is a knave then Aiden is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that Aurora is a knave and Aiden is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('lying', 1)), ('and', ('lying', 0), ('telling-truth', 2)), ('->', ('lying', 0), ('telling-truth', 2)))", "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 3 inhabitants: Ava, Jacob, and Emma. Ava noted, \"Emma is a knave and Emma is a knight\". \"Emma is a knight or Jacob is a knight\" - Jacob. Emma remarked, \"Emma is a knight if and only if Jacob is a knave\". So who is a knight and who is a knave?", "names": ["Ava", "Jacob", "Emma"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false], "solution_text": "Ava is a knave, Jacob is a knave, and Emma is a knave.", "solution_text_format": "(1) Ava is a knave\n(2) Jacob is a knave\n(3) 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": ["Ava cannot be a knight, because this would contradict the claim of their own that Emma is a knave and Emma is a knight.", "Assume Ava 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 Emma is a knight if and only if Jacob is a knave.", "Jacob cannot be a knight, because this would contradict the claim of Emma that Emma is a knight 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 a knight or Jacob 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 Emma is a knight if and only if Jacob is a knave.", "Jacob cannot be a knight, because this would contradict the false claim of Emma that Emma 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 Emma is a knight or Jacob is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('telling-truth', 2)), ('or', ('telling-truth', 2), ('telling-truth', 1)), ('<=>', ('telling-truth', 2), ('lying', 1)))", "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 3 inhabitants: Luke, Sophia, and Lily. \"Sophia is a knight\" - Luke. Sophia was heard saying, \"Luke is a knave if and only if Sophia is a knight\". In Lily's words: \"Luke is a knight or Sophia is a knave\". So who is a knight and who is a knave?", "names": ["Luke", "Sophia", "Lily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Luke is a knave, Sophia is a knave, and Lily is a knight.", "solution_text_format": "(1) Luke is a knave\n(2) Sophia is a knave\n(3) 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 Luke 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 their own that Luke is a knave if and only if Sophia is a knight.", "Sophia cannot be a knave, because this would contradict the claim of Luke that Sophia is a knight.", "We have exhausted all possibilities for Sophia, so let us go back and reconsider Luke.", "Assume Luke 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 false claim of Luke that Sophia is a knight.", "Assume Sophia is a knave. No contradiction is found in their false claim that Luke is a knave if and only if Sophia is a knight.", "Assume Lily is a knight. No contradiction is found in their claim that Luke is a knight or Sophia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 1), ('<=>', ('lying', 0), ('telling-truth', 1)), ('or', ('telling-truth', 0), ('lying', 1)))", "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 3 inhabitants: Mia, Riley, and Jackson. Mia said that Mia is a knight or Jackson is a knight. \"Jackson is a knight\" - Riley. Jackson told you that Riley is a knight if and only if Mia is a knave. So who is a knight and who is a knave?", "names": ["Mia", "Riley", "Jackson"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false], "solution_text": "Mia is a knave, Riley is a knave, and Jackson is a knave.", "solution_text_format": "(1) Mia is a knave\n(2) Riley is a knave\n(3) 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 Mia is a knight. No contradiction is found in their claim that Mia is a knight or Jackson is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that Riley is a knight if and only if Mia is a knave.", "Riley cannot be a knight, because this would contradict the claim of Jackson that Riley is a knight if and only if Mia is a knave.", "Riley 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 Riley, so let us go back and reconsider Jackson.", "Assume Jackson is a knave. No contradiction is found in their false claim that Riley is a knight if and only if Mia is a knave.", "Riley cannot be a knight, because this would contradict the claim of their own that Jackson is a knight.", "Riley cannot be a knave, because this would contradict the false claim of Jackson that Riley is a knight if and only if Mia is a knave.", "We have exhausted all possibilities for Riley and Jackson, 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 or Jackson is a knight.", "Jackson cannot be a knight, because this would contradict the false claim of Mia that Mia is a knight or Jackson is a knight.", "Assume Jackson is a knave. No contradiction is found in their false claim that Riley is a knight if and only if Mia is a knave.", "Riley cannot be a knight, because this would contradict the claim of their own that Jackson is a knight.", "Assume Riley is a knave. No contradiction is found in their false claim that Jackson is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 0), ('telling-truth', 2)), ('telling-truth', 2), ('<=>', ('telling-truth', 1), ('lying', 0)))", "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 3 inhabitants: Penelope, Abigail, and Ella. Penelope said, \"Ella is a knave and Penelope is a knight.\" Abigail said, \"Abigail is a knight or Ella is a knave.\" Ella commented, \"If Ella is a knight then Abigail is a knight\". So who is a knight and who is a knave?", "names": ["Penelope", "Abigail", "Ella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Penelope is a knave, Abigail is a knight, and Ella is a knight.", "solution_text_format": "(1) Penelope is a knave\n(2) Abigail is a knight\n(3) 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 Penelope is a knight. No contradiction is found in their claim that Ella is a knave and Penelope is a knight.", "Ella cannot be a knight, because this would contradict the claim of Penelope that Ella is a knave and Penelope is a knight.", "Ella cannot be a knave, because this would contradict the false claim of their own that If Ella is a knight then Abigail is a knight.", "We have exhausted all possibilities for Ella, so let us go back and reconsider Penelope.", "Assume Penelope is a knave. No contradiction is found in their false claim that Ella is a knave and Penelope is a knight.", "Assume Ella is a knight. No contradiction is found in their claim that If Ella is a knight then Abigail is a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that Abigail is a knight or Ella is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('telling-truth', 0)), ('or', ('telling-truth', 1), ('lying', 2)), ('->', ('telling-truth', 2), ('telling-truth', 1)))", "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 3 inhabitants: Liam, Matthew, and Lily. Liam was heard saying, \"If Lily is a knight then Liam is a knight\". As Matthew put it, \"If Matthew is a knight then Lily is a knave\". Lily was heard saying, \"Lily is a knight and Matthew is a knave\". So who is a knight and who is a knave?", "names": ["Liam", "Matthew", "Lily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Liam is a knight, Matthew is a knight, and Lily is a knave.", "solution_text_format": "(1) Liam is a knight\n(2) Matthew is a knight\n(3) 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 Liam is a knight. No contradiction is found in their claim that If Lily is a knight then Liam is a knight.", "Assume Lily is a knight. No contradiction is found in their claim that Lily is a knight and Matthew is a knave.", "Matthew cannot be a knight, because this would contradict the claim of their own that If Matthew is a knight then Lily 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 Lily is a knave.", "We have exhausted all possibilities for Matthew, 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 and Matthew is a knave.", "Assume Matthew is a knight. No contradiction is found in their claim that If Matthew is a knight then Lily is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 2), ('telling-truth', 0)), ('->', ('telling-truth', 1), ('lying', 2)), ('and', ('telling-truth', 2), ('lying', 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 3 inhabitants: Aria, Zoey, and Sophia. Aria was heard saying, \"Sophia is a knave and Zoey is a knight\". Zoey noted, \"Sophia is a knave if and only if Aria is a knave\". \"Aria is a knight if and only if Zoey is a knight,\" Sophia declared. So who is a knight and who is a knave?", "names": ["Aria", "Zoey", "Sophia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Aria is a knave, Zoey is a knave, and Sophia is a knight.", "solution_text_format": "(1) Aria is a knave\n(2) Zoey is a knave\n(3) 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 Aria is a knight. No contradiction is found in their claim that Sophia is a knave and Zoey is a knight.", "Sophia cannot be a knight, because this would contradict the claim of Aria that Sophia is a knave and Zoey is a knight.", "Assume Sophia is a knave. No contradiction is found in their false claim that Aria is a knight if and only if Zoey is a knight.", "Zoey cannot be a knight, because this would contradict the claim of their own that Sophia is a knave if and only if Aria is a knave.", "Zoey cannot be a knave, because this would contradict the claim of Aria that Sophia is a knave and Zoey is a knight.", "We have exhausted all possibilities for Zoey and Sophia, so let us go back and reconsider Aria.", "Assume Aria is a knave. No contradiction is found in their false claim that Sophia is a knave and Zoey is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that Aria is a knight if and only if Zoey is a knight.", "Zoey cannot be a knight, because this would contradict the claim of their own that Sophia is a knave if and only if Aria is a knave.", "Assume Zoey is a knave. No contradiction is found in their false claim that Sophia is a knave if and only if Aria is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('telling-truth', 1)), ('<=>', ('lying', 2), ('lying', 0)), ('<=>', ('telling-truth', 0), ('telling-truth', 1)))", "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 3 inhabitants: Emily, Sebastian, and Jack. In a statement by Emily: \"Jack is a knight or Sebastian is a knave\". Sebastian asserted: \"Sebastian is a knight and Jack is a knight\". \"If Jack is a knight then Sebastian is a knave\" - Jack. So who is a knight and who is a knave?", "names": ["Emily", "Sebastian", "Jack"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Emily is a knight, Sebastian is a knave, and Jack is a knight.", "solution_text_format": "(1) Emily is a knight\n(2) Sebastian is a knave\n(3) 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 Emily is a knight. No contradiction is found in their claim that Jack is a knight or Sebastian is a knave.", "Assume Jack is a knight. No contradiction is found in their claim that If Jack is a knight then Sebastian is a knave.", "Sebastian cannot be a knight, because this would contradict the claim of Jack that If Jack is a knight then Sebastian is a knave.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Sebastian is a knight and Jack is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 2), ('lying', 1)), ('and', ('telling-truth', 1), ('telling-truth', 2)), ('->', ('telling-truth', 2), ('lying', 1)))", "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 3 inhabitants: Avery, Matthew, and Liam. Avery said that If Liam is a knight then Avery is a knight. Matthew was heard saying, \"Liam is a knight or Matthew is a knight\". Liam remarked, \"If Liam is a knight then Avery is a knave\". So who is a knight and who is a knave?", "names": ["Avery", "Matthew", "Liam"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Avery is a knave, Matthew is a knight, and Liam is a knight.", "solution_text_format": "(1) Avery is a knave\n(2) Matthew is a knight\n(3) 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 Avery is a knight. No contradiction is found in their claim that If Liam is a knight then Avery is a knight.", "Liam cannot be a knight, because this would contradict the claim of their own that If Liam is a knight then Avery is a knave.", "Liam cannot be a knave, because this would contradict the false claim of their own that If Liam is a knight then Avery is a knave.", "We have exhausted all possibilities for Liam, so let us go back and reconsider Avery.", "Assume Avery is a knave. No contradiction is found in their false claim that If Liam is a knight then Avery is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that If Liam is a knight then Avery is a knave.", "Assume Matthew is a knight. No contradiction is found in their claim that Liam is a knight or Matthew is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 2), ('telling-truth', 0)), ('or', ('telling-truth', 2), ('telling-truth', 1)), ('->', ('telling-truth', 2), ('lying', 0)))", "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 3 inhabitants: James, William, and Samuel. \"Samuel is not a knave\" - James. \"William is a knight or Samuel is a knave,\" William mentioned. Samuel 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": ["James", "William", "Samuel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "James is a knave, William is a knight, and Samuel is a knave.", "solution_text_format": "(1) James is a knave\n(2) William is a knight\n(3) 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 James is a knight. No contradiction is found in their claim that Samuel is not a knave.", "Samuel 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.", "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.", "Assume James 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 James that Samuel is not a knave.", "Assume Samuel 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 William is a knight. No contradiction is found in their claim that William is a knight or Samuel is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 2)), ('or', ('telling-truth', 1), ('lying', 2)), ('<=>', ('lying', 0), ('telling-truth', 0)))", "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 3 inhabitants: Lucas, Sophia, and Emily. \"Emily is not a knave,\" Lucas claimed. \"Lucas is a knight or Emily is a knave,\" Sophia declared. Emily commented, \"Sophia is not a knave\". So who is a knight and who is a knave?", "names": ["Lucas", "Sophia", "Emily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Lucas is a knight, Sophia is a knight, and Emily is a knight.", "solution_text_format": "(1) Lucas is a knight\n(2) Sophia is a knight\n(3) 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 Lucas 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 Sophia is not a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that Lucas is a knight or Emily is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 2)), ('or', ('telling-truth', 0), ('lying', 2)), ('not', ('lying', 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 3 inhabitants: Aurora, Luke, and Grace. Aurora noted, \"If Aurora is a knight then Grace is a knave\". \"Grace is not a knave\" - Luke. Grace said, \"Luke is a knave if and only if Luke is a knight.\" So who is a knight and who is a knave?", "names": ["Aurora", "Luke", "Grace"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false], "solution_text": "Aurora is a knight, Luke is a knave, and Grace is a knave.", "solution_text_format": "(1) Aurora is a knight\n(2) Luke is a knave\n(3) 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 Aurora is a knight. No contradiction is found in their claim that If Aurora is a knight then Grace is a knave.", "Grace cannot be a knight, because this would contradict the claim of Aurora that If Aurora is a knight then Grace is a knave.", "Assume Grace 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 Grace is not a knave.", "Assume Luke 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": "(('->', ('telling-truth', 0), ('lying', 2)), ('not', ('lying', 2)), ('<=>', ('lying', 1), ('telling-truth', 1)))", "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 3 inhabitants: Penelope, Elizabeth, and Abigail. Penelope said that Elizabeth is a knight. Elizabeth said, \"Penelope is a knave and Elizabeth is a knight.\" Abigail expressed that Elizabeth is not a knight. So who is a knight and who is a knave?", "names": ["Penelope", "Elizabeth", "Abigail"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Penelope is a knave, Elizabeth is a knave, and Abigail is a knight.", "solution_text_format": "(1) Penelope is a knave\n(2) Elizabeth is a knave\n(3) 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 Penelope 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 Penelope is a knave and Elizabeth is a knight.", "Elizabeth cannot be a knave, because this would contradict the claim of Penelope that Elizabeth is a knight.", "We have exhausted all possibilities for Elizabeth, so let us go back and reconsider Penelope.", "Assume Penelope 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 Penelope that Elizabeth is a knight.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Penelope is a knave and Elizabeth is a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that Elizabeth is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 1), ('and', ('lying', 0), ('telling-truth', 1)), ('not', ('telling-truth', 1)))", "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 3 inhabitants: Sophia, Penelope, and Aiden. Sophia told you that Penelope is a knave if and only if Sophia is a knight. According to Penelope, \"Sophia is a knight and Aiden is a knave\". Aiden told you that Sophia is a knave if and only if Sophia is a knight. So who is a knight and who is a knave?", "names": ["Sophia", "Penelope", "Aiden"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false], "solution_text": "Sophia is a knave, Penelope is a knave, and Aiden is a knave.", "solution_text_format": "(1) Sophia is a knave\n(2) Penelope is a knave\n(3) 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 Sophia is a knight. No contradiction is found in their claim that Penelope is a knave if and only if Sophia is a knight.", "Penelope cannot be a knight, because this would contradict the claim of Sophia that Penelope is a knave if and only if Sophia is a knight.", "Assume Penelope is a knave. No contradiction is found in their false claim that Sophia is a knight and Aiden is a knave.", "Aiden 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.", "Aiden cannot be a knave, because this would contradict the false claim of Penelope that Sophia is a knight and Aiden is a knave.", "We have exhausted all possibilities for Aiden and 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 if and only if Sophia is a knight.", "Penelope cannot be a knight, because this would contradict the false claim of Sophia that Penelope is a knave if and only if Sophia is a knight.", "Assume Penelope is a knave. No contradiction is found in their false claim that Sophia is a knight and Aiden is a knave.", "Aiden 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.", "Assume Aiden is a knave. No contradiction is found in their false claim that Sophia is a knave if and only if Sophia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('telling-truth', 0)), ('and', ('telling-truth', 0), ('lying', 2)), ('<=>', ('lying', 0), ('telling-truth', 0)))", "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 3 inhabitants: Emma, Aurora, and Benjamin. Emma commented, \"Aurora is a knave or Benjamin is a knave\". In Aurora's words: \"Emma is a knave\". Benjamin stated, \"If Benjamin is a knight then Emma is a knight\". So who is a knight and who is a knave?", "names": ["Emma", "Aurora", "Benjamin"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Emma is a knight, Aurora is a knave, and Benjamin is a knight.", "solution_text_format": "(1) Emma is a knight\n(2) Aurora is a knave\n(3) 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 Emma is a knight. No contradiction is found in their claim that Aurora is a knave or Benjamin is a knave.", "Aurora cannot be a knight, because this would contradict the claim of their own that Emma is a knave.", "Assume Aurora is a knave. No contradiction is found in their false claim that Emma is a knave.", "Assume Benjamin is a knight. No contradiction is found in their claim that If Benjamin is a knight then Emma is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('lying', 2)), ('lying', 0), ('->', ('telling-truth', 2), ('telling-truth', 0)))", "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 3 inhabitants: Evelyn, Victoria, and Jacob. As Evelyn put it, \"Jacob is a knight and Jacob is a knave\". Victoria stated, \"If Jacob is a knave then Jacob is a knight\". \"Evelyn is a knight and Evelyn is a knave,\" Jacob claimed. So who is a knight and who is a knave?", "names": ["Evelyn", "Victoria", "Jacob"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false], "solution_text": "Evelyn is a knave, Victoria is a knave, and Jacob is a knave.", "solution_text_format": "(1) Evelyn is a knave\n(2) Victoria is a knave\n(3) 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": ["Evelyn cannot be a knight, because this would contradict the claim of their own that Jacob is a knight and Jacob is a knave.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Jacob is a knight and Jacob is a knave.", "Jacob cannot be a knight, because this would contradict the claim of their own that Evelyn is a knight and Evelyn is a knave.", "Assume Jacob is a knave. No contradiction is found in their false claim that Evelyn is a knight and Evelyn is a knave.", "Victoria cannot be a knight, because this would contradict the claim of their own that If Jacob is a knave then Jacob is a knight.", "Assume Victoria is a knave. No contradiction is found in their false claim that If Jacob is a knave then Jacob is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 2), ('lying', 2)), ('->', ('lying', 2), ('telling-truth', 2)), ('and', ('telling-truth', 0), ('lying', 0)))", "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 3 inhabitants: Abigail, Aurora, and Zoey. Abigail said, \"Aurora is a knave if and only if Zoey is a knave.\" Aurora noted, \"Abigail is a knave or Zoey is a knave\". Zoey said, \"Zoey is a knight if and only if Aurora is a knight.\" So who is a knight and who is a knave?", "names": ["Abigail", "Aurora", "Zoey"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Abigail is a knave, Aurora is a knight, and Zoey is a knave.", "solution_text_format": "(1) Abigail is a knave\n(2) Aurora is a knight\n(3) 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 Abigail is a knight. No contradiction is found in their claim that Aurora is a knave if and only if Zoey is a knave.", "Assume Aurora is a knight. No contradiction is found in their claim that Abigail is a knave or Zoey is a knave.", "Zoey cannot be a knight, because this would contradict the claim of Aurora that Abigail is a knave or Zoey is a knave.", "Zoey cannot be a knave, because this would contradict the claim of Abigail that Aurora 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 Aurora.", "Assume Aurora is a knave. No contradiction is found in their false claim that Abigail is a knave or Zoey is a knave.", "Zoey cannot be a knight, because this would contradict the claim of Abigail that Aurora is a knave if and only if Zoey is a knave.", "Zoey cannot be a knave, because this would contradict the false claim of Aurora that Abigail is a knave or Zoey is a knave.", "We have exhausted all possibilities for Zoey 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 if and only if Zoey is a knave.", "Assume Aurora is a knight. No contradiction is found in their claim that Abigail is a knave or Zoey is a knave.", "Zoey cannot be a knight, because this would contradict the false claim of Abigail that Aurora is a knave if and only if Zoey is a knave.", "Assume Zoey is a knave. No contradiction is found in their false claim that Zoey is a knight if and only if Aurora is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('lying', 2)), ('or', ('lying', 0), ('lying', 2)), ('<=>', ('telling-truth', 2), ('telling-truth', 1)))", "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 3 inhabitants: Matthew, Isabella, and Noah. Matthew said, \"Noah is not a knave.\" Isabella noted, \"Matthew is a knight or Isabella is a knight\". Noah stated, \"Matthew is a knave if and only if Isabella is a knight\". So who is a knight and who is a knave?", "names": ["Matthew", "Isabella", "Noah"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false], "solution_text": "Matthew is a knave, Isabella is a knave, and Noah is a knave.", "solution_text_format": "(1) Matthew is a knave\n(2) Isabella is a knave\n(3) 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 Matthew 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 Matthew is a knave if and only if Isabella is a knight.", "Isabella cannot be a knight, because this would contradict the claim of Noah that Matthew is a knave if and only if Isabella is a knight.", "Isabella cannot be a knave, because this would contradict the false claim of their own that Matthew is a knight or Isabella is a knight.", "We have exhausted all possibilities for Isabella, so let us go back and reconsider Noah.", "Noah cannot be a knave, because this would contradict the claim of Matthew that Noah is not 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 not a knave.", "Noah cannot be a knight, because this would contradict the false claim of Matthew that Noah is not a knave.", "Assume Noah is a knave. No contradiction is found in their false claim that Matthew is a knave if and only if Isabella is a knight.", "Isabella cannot be a knight, because this would contradict the false claim of Noah that Matthew is a knave if and only if Isabella is a knight.", "Assume Isabella is a knave. No contradiction is found in their false claim that Matthew is a knight or Isabella is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 2)), ('or', ('telling-truth', 0), ('telling-truth', 1)), ('<=>', ('lying', 0), ('telling-truth', 1)))", "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 3 inhabitants: Riley, Avery, and William. Riley noted, \"If William is a knave then Riley is a knight\". Avery stated, \"Riley is not a knight\". William was heard saying, \"Riley is not a knight\". So who is a knight and who is a knave?", "names": ["Riley", "Avery", "William"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false], "solution_text": "Riley is a knight, Avery is a knave, and William is a knave.", "solution_text_format": "(1) Riley is a knight\n(2) Avery is a knave\n(3) 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 Riley is a knight. No contradiction is found in their claim that If William is a knave then Riley is 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.", "Avery cannot be a knight, because this would contradict the claim of their own that Riley is not a knight.", "Assume Avery 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": "(('->', ('lying', 2), ('telling-truth', 0)), ('not', ('telling-truth', 0)), ('not', ('telling-truth', 0)))", "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 3 inhabitants: Mason, Ella, and Harper. Mason was heard saying, \"Harper is a knave and Ella is a knight\". Ella said, \"Mason is a knight or Harper is a knave.\" Harper expressed that Ella is a knight if and only if Mason is a knave. So who is a knight and who is a knave?", "names": ["Mason", "Ella", "Harper"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Mason is a knight, Ella is a knight, and Harper is a knave.", "solution_text_format": "(1) Mason is a knight\n(2) Ella is a knight\n(3) 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 Mason is a knight. No contradiction is found in their claim that Harper is a knave and Ella is a knight.", "Harper cannot be a knight, because this would contradict the claim of Mason that Harper is a knave and Ella is a knight.", "Assume Harper is a knave. No contradiction is found in their false claim that Ella is a knight if and only if Mason is a knave.", "Assume Ella is a knight. No contradiction is found in their claim that Mason is a knight or Harper is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('telling-truth', 1)), ('or', ('telling-truth', 0), ('lying', 2)), ('<=>', ('telling-truth', 1), ('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 3 inhabitants: Chloe, Jack, and Emily. Chloe stated, \"Jack is not a knave\". Jack asserted: \"Jack is a knight and Chloe is a knave\". Emily said, \"Chloe is not a knave.\" So who is a knight and who is a knave?", "names": ["Chloe", "Jack", "Emily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false], "solution_text": "Chloe is a knave, Jack is a knave, and Emily is a knave.", "solution_text_format": "(1) Chloe is a knave\n(2) Jack is a knave\n(3) 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 Chloe is a knight. No contradiction is found in their claim that Jack is not a knave.", "Jack cannot be a knight, because this would contradict the claim of their own that Jack is a knight and Chloe is a knave.", "Jack cannot be a knave, because this would contradict the claim of Chloe that Jack is not a knave.", "We have exhausted all possibilities for 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 not a knave.", "Jack cannot be a knight, because this would contradict the false claim of Chloe that Jack is not a knave.", "Assume Jack is a knave. No contradiction is found in their false claim that Jack is a knight and Chloe is a knave.", "Emily cannot be a knight, because this would contradict the claim of their own that Chloe is not a knave.", "Assume Emily 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": "(('not', ('lying', 1)), ('and', ('telling-truth', 1), ('lying', 0)), ('not', ('lying', 0)))", "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 3 inhabitants: Jacob, Harper, and Riley. Jacob said, \"If Jacob is a knight then Harper is a knight.\" \"Riley is a knight or Riley is a knave,\" Harper mentioned. According to Riley, \"Harper is a knight if and only if Jacob is a knight\". So who is a knight and who is a knave?", "names": ["Jacob", "Harper", "Riley"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Jacob is a knight, Harper is a knight, and Riley is a knight.", "solution_text_format": "(1) Jacob is a knight\n(2) Harper is a knight\n(3) 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 Jacob is a knight. No contradiction is found in their claim that If Jacob is a knight then Harper is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that Riley is a knight or Riley is a knave.", "Assume Riley is a knight. No contradiction is found in their claim that Harper is a knight if and only if Jacob is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 0), ('telling-truth', 1)), ('or', ('telling-truth', 2), ('lying', 2)), ('<=>', ('telling-truth', 1), ('telling-truth', 0)))", "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 3 inhabitants: Charlotte, Aiden, and Aria. \"Aiden is a knave and Aiden is a knight,\" Charlotte declared. Aiden said, \"Aria is a knight and Charlotte is a knave.\" Aria said, \"Charlotte is not a knave.\" So who is a knight and who is a knave?", "names": ["Charlotte", "Aiden", "Aria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false], "solution_text": "Charlotte is a knave, Aiden is a knave, and Aria is a knave.", "solution_text_format": "(1) Charlotte is a knave\n(2) Aiden is a knave\n(3) 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": ["Charlotte cannot be a knight, because this would contradict the claim of their own that Aiden is a knave and Aiden is a knight.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Aiden is a knave and Aiden is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that Aria is a knight and Charlotte is a knave.", "Aria cannot be a knight, because this would contradict the claim of their own that Charlotte is not a knave.", "Aria cannot be a knave, because this would contradict the claim of Aiden that Aria is a knight and Charlotte is a knave.", "We have exhausted all possibilities for Aria, so let us go back and reconsider Aiden.", "Assume Aiden is a knave. No contradiction is found in their false claim that Aria is a knight and Charlotte is a knave.", "Aria cannot be a knight, because this would contradict the false claim of Aiden that Aria is a knight and Charlotte is a knave.", "Assume Aria is a knave. No contradiction is found in their false claim that Charlotte is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('telling-truth', 1)), ('and', ('telling-truth', 2), ('lying', 0)), ('not', ('lying', 0)))", "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 3 inhabitants: William, Sebastian, and David. In a statement by William: \"David is a knight and William is a knight\". \"If William is a knave then William is a knight\" - Sebastian. David stated, \"Sebastian is a knight and Sebastian is a knave\". So who is a knight and who is a knave?", "names": ["William", "Sebastian", "David"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false], "solution_text": "William is a knave, Sebastian is a knave, and David is a knave.", "solution_text_format": "(1) William is a knave\n(2) Sebastian is a knave\n(3) 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 David is a knight and William is a knight.", "David cannot be a knight, because this would contradict the claim of their own that Sebastian is a knight and Sebastian is a knave.", "David cannot be a knave, because this would contradict the claim of William that David is a knight and William is a knight.", "We have exhausted all possibilities for David, 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 and William is a knight.", "David cannot be a knight, because this would contradict the claim of their own that Sebastian is a knight and Sebastian is a knave.", "Assume David is a knave. No contradiction is found in their false claim that Sebastian is a knight and Sebastian is a knave.", "Sebastian cannot be a knight, because this would contradict the claim of their own that If William is a knave then William is a knight.", "Assume Sebastian is a knave. No contradiction is found in their false claim that If William is a knave then William is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 2), ('telling-truth', 0)), ('->', ('lying', 0), ('telling-truth', 0)), ('and', ('telling-truth', 1), ('lying', 1)))", "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 3 inhabitants: Harper, Matthew, and Ella. Harper noted, \"Matthew is not a knave\". Matthew said that Ella is a knight and Harper is a knight. In Ella's words: \"Harper is not a knight\". So who is a knight and who is a knave?", "names": ["Harper", "Matthew", "Ella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Harper is a knave, Matthew is a knave, and Ella is a knight.", "solution_text_format": "(1) Harper is a knave\n(2) Matthew is a knave\n(3) 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 Harper 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 Ella is a knight and Harper is a knight.", "Ella cannot be a knight, because this would contradict the claim of their own that Harper is not a knight.", "Ella cannot be a knave, because this would contradict the claim of Matthew that Ella is a knight and Harper is a knight.", "We have exhausted all possibilities for Ella, so let us go back and reconsider Matthew.", "Matthew cannot be a knave, because this would contradict the claim of Harper that Matthew is not a knave.", "We have exhausted all possibilities for Matthew, so let us go back and reconsider Harper.", "Assume Harper 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 Harper that Matthew is not a knave.", "Assume Matthew is a knave. No contradiction is found in their false claim that Ella is a knight and Harper is a knight.", "Assume Ella is a knight. No contradiction is found in their claim that Harper is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 1)), ('and', ('telling-truth', 2), ('telling-truth', 0)), ('not', ('telling-truth', 0)))", "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 3 inhabitants: Henry, Logan, and Sofia. According to Henry, \"Sofia is a knight if and only if Sofia is a knave\". \"Sofia is a knight\" - Logan. \"Sofia is a knight and Logan is a knave,\" Sofia declared. So who is a knight and who is a knave?", "names": ["Henry", "Logan", "Sofia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false], "solution_text": "Henry is a knave, Logan is a knave, and Sofia is a knave.", "solution_text_format": "(1) Henry is a knave\n(2) Logan is a knave\n(3) 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": ["Henry cannot be a knight, because this would contradict the claim of their own that Sofia is a knight if and only if Sofia is a knave.", "Assume Henry is a knave. No contradiction is found in their false claim that Sofia is a knight if and only if Sofia is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that Sofia is a knight and Logan is a knave.", "Logan cannot be a knight, because this would contradict the claim of Sofia that Sofia is a knight and Logan is a knave.", "Logan 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 Logan, so let us go back and reconsider Sofia.", "Assume Sofia is a knave. No contradiction is found in their false claim that Sofia is a knight and Logan is a knave.", "Logan cannot be a knight, because this would contradict the claim of their own that Sofia is a knight.", "Assume Logan is a knave. No contradiction is found in their false claim that Sofia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 2), ('lying', 2)), ('telling-truth', 2), ('and', ('telling-truth', 2), ('lying', 1)))", "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 3 inhabitants: Emma, Owen, and Logan. \"Logan is not a knight\" - Emma. \"Logan is a knight if and only if Owen is a knight,\" Owen claimed. \"Owen is a knight if and only if Emma is a knight,\" Logan mentioned. So who is a knight and who is a knave?", "names": ["Emma", "Owen", "Logan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Emma is a knave, Owen is a knave, and Logan is a knight.", "solution_text_format": "(1) Emma is a knave\n(2) Owen is a knave\n(3) 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 Emma 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 Emma that Logan is not a knight.", "Assume Logan is a knave. No contradiction is found in their false claim that Owen is a knight if and only if Emma is a knight.", "Owen cannot be a knight, because this would contradict the claim of their own that Logan is a knight if and only if Owen is a knight.", "Owen cannot be a knave, because this would contradict the false claim of their own that Logan is a knight if and only if Owen is a knight.", "We have exhausted all possibilities for Owen and Logan, so let us go back and reconsider Emma.", "Assume Emma 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 Owen is a knight if and only if Emma is a knight.", "Owen cannot be a knight, because this would contradict the claim of Logan that Owen is a knight if and only if Emma is a knight.", "Assume Owen is a knave. No contradiction is found in their false claim that Logan is a knight if and only if Owen is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 2)), ('<=>', ('telling-truth', 2), ('telling-truth', 1)), ('<=>', ('telling-truth', 1), ('telling-truth', 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 3 inhabitants: Aiden, Evelyn, and Chloe. Aiden was heard saying, \"Chloe is a knave if and only if Evelyn is a knight\". \"Aiden is not a knave,\" Evelyn claimed. \"If Evelyn is a knight then Evelyn is a knave,\" Chloe claimed. So who is a knight and who is a knave?", "names": ["Aiden", "Evelyn", "Chloe"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Aiden is a knight, Evelyn is a knight, and Chloe is a knave.", "solution_text_format": "(1) Aiden is a knight\n(2) Evelyn is a knight\n(3) 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 Aiden is a knight. No contradiction is found in their claim that Chloe is a knave if and only if Evelyn is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that If Evelyn is a knight then Evelyn is a knave.", "Evelyn cannot be a knight, because this would contradict the claim of Aiden that Chloe is a knave if and only if Evelyn is a knight.", "Evelyn 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 Evelyn, so let us go back and reconsider Chloe.", "Assume Chloe is a knave. No contradiction is found in their false claim that If Evelyn is a knight then Evelyn is a knave.", "Assume Evelyn 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": "(('<=>', ('lying', 2), ('telling-truth', 1)), ('not', ('lying', 0)), ('->', ('telling-truth', 1), ('lying', 1)))", "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 3 inhabitants: Riley, Harper, and Grace. In Riley's words: \"Harper is a knight and Grace is a knave\". Harper stated, \"Grace is a knave\". \"Riley is a knight if and only if Grace is a knight\" - Grace. So who is a knight and who is a knave?", "names": ["Riley", "Harper", "Grace"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Riley is a knight, Harper is a knight, and Grace is a knave.", "solution_text_format": "(1) Riley is a knight\n(2) Harper is a knight\n(3) 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 Riley is a knight. No contradiction is found in their claim that Harper is a knight and Grace is a knave.", "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 Riley that Harper is a knight and Grace is a knave.", "Assume Grace is a knave. No contradiction is found in their false claim that Riley is a knight if and only if Grace is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('lying', 2)), ('lying', 2), ('<=>', ('telling-truth', 0), ('telling-truth', 2)))", "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 3 inhabitants: Aiden, Avery, and Ethan. Aiden remarked, \"Avery is a knave and Aiden is a knight\". \"If Ethan is a knave then Aiden is a knave,\" Avery mentioned. \"If Aiden is a knave then Aiden is a knight,\" Ethan declared. So who is a knight and who is a knave?", "names": ["Aiden", "Avery", "Ethan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Aiden is a knave, Avery is a knight, and Ethan is a knave.", "solution_text_format": "(1) Aiden is a knave\n(2) Avery is a knight\n(3) 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 Aiden is a knight. No contradiction is found in their claim that Avery is a knave and Aiden is a knight.", "Avery cannot be a knight, because this would contradict the claim of Aiden that Avery is a knave and Aiden is a knight.", "Assume Avery is a knave. No contradiction is found in their false claim that If Ethan is a knave then Aiden is a knave.", "Ethan cannot be a knight, because this would contradict the false claim of Avery that If Ethan is a knave then Aiden is a knave.", "Ethan 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 Ethan 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 Aiden is a knight.", "Assume Avery is a knight. No contradiction is found in their claim that If Ethan is a knave then Aiden is a knave.", "Ethan 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 Ethan is a knave. No contradiction is found in their false claim that If Aiden is a knave then Aiden is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('telling-truth', 0)), ('->', ('lying', 2), ('lying', 0)), ('->', ('lying', 0), ('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 3 inhabitants: Ava, Scarlett, and Sofia. \"If Scarlett is a knave then Sofia is a knight,\" Ava declared. Scarlett commented, \"Ava is a knave if and only if Sofia is a knave\". Sofia noted, \"Sofia is a knight\". So who is a knight and who is a knave?", "names": ["Ava", "Scarlett", "Sofia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Ava is a knight, Scarlett is a knight, and Sofia is a knight.", "solution_text_format": "(1) Ava is a knight\n(2) Scarlett is a knight\n(3) 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 Ava is a knight. No contradiction is found in their claim that If Scarlett is a knave then Sofia is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that Ava is a knave if and only if Sofia is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that Sofia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 1), ('telling-truth', 2)), ('<=>', ('lying', 0), ('lying', 2)), ('telling-truth', 2))", "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 3 inhabitants: Amelia, Jack, and Mason. Amelia noted, \"Mason is a knave\". Jack expressed that Jack is a knight and Amelia is a knave. \"Jack is not a knight\" - Mason. So who is a knight and who is a knave?", "names": ["Amelia", "Jack", "Mason"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Amelia is a knave, Jack is a knave, and Mason is a knight.", "solution_text_format": "(1) Amelia is a knave\n(2) Jack is a knave\n(3) 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 Amelia 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 Amelia that Mason is a knave.", "Assume Mason 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 their own that Jack is a knight and Amelia is a knave.", "Jack cannot be a knave, because this would contradict the false claim of Mason that Jack is not a knight.", "We have exhausted all possibilities for Jack and 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 knave.", "Assume Mason 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 Mason that Jack is not a knight.", "Assume Jack is a knave. No contradiction is found in their false claim that Jack is a knight and Amelia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 2), ('and', ('telling-truth', 1), ('lying', 0)), ('not', ('telling-truth', 1)))", "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 3 inhabitants: Luke, Evelyn, and Lucas. Luke was heard saying, \"Lucas is not a knave\". Evelyn remarked, \"Luke is a knight or Lucas is a knight\". Lucas asserted: \"Evelyn is a knight and Luke is a knave\". So who is a knight and who is a knave?", "names": ["Luke", "Evelyn", "Lucas"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false], "solution_text": "Luke is a knave, Evelyn is a knave, and Lucas is a knave.", "solution_text_format": "(1) Luke is a knave\n(2) Evelyn is a knave\n(3) 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 Luke 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 their own that Evelyn is a knight and Luke is a knave.", "Lucas cannot be a knave, because this would contradict the claim of Luke that Lucas is not a knave.", "We have exhausted all possibilities for Lucas, so let us go back and reconsider Luke.", "Assume Luke 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 Luke that Lucas is not a knave.", "Assume Lucas is a knave. No contradiction is found in their false claim that Evelyn is a knight and Luke is a knave.", "Evelyn cannot be a knight, because this would contradict the claim of their own that Luke is a knight or Lucas is a knight.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Luke is a knight or Lucas is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 2)), ('or', ('telling-truth', 0), ('telling-truth', 2)), ('and', ('telling-truth', 1), ('lying', 0)))", "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 3 inhabitants: Mason, Owen, and Mia. As Mason put it, \"Mason is a knight or Mia is a knave\". As Owen put it, \"Owen is a knight if and only if Mia is a knave\". Mia expressed that Owen is not a knave. So who is a knight and who is a knave?", "names": ["Mason", "Owen", "Mia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false], "solution_text": "Mason is a knight, Owen is a knave, and Mia is a knave.", "solution_text_format": "(1) Mason is a knight\n(2) Owen is a knave\n(3) 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 Mason is a knight. No contradiction is found in their claim that Mason is a knight or Mia is a knave.", "Assume Mia is a knight. No contradiction is found in their claim that Owen is not a knave.", "Owen cannot be a knight, because this would contradict the claim of their own that Owen is a knight if and only if Mia is a knave.", "Owen cannot be a knave, because this would contradict the false claim of their own that Owen is a knight if and only if Mia is a knave.", "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 Owen is not a knave.", "Owen cannot be a knight, because this would contradict the false claim of Mia that Owen is not a knave.", "Assume Owen is a knave. No contradiction is found in their false claim that Owen is a knight if and only if Mia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 0), ('lying', 2)), ('<=>', ('telling-truth', 1), ('lying', 2)), ('not', ('lying', 1)))", "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 3 inhabitants: Oliver, Ethan, and Aiden. Oliver noted, \"Aiden is a knight and Ethan is a knight\". Ethan said, \"Aiden is not a knight.\" \"Oliver is a knave,\" Aiden mentioned. So who is a knight and who is a knave?", "names": ["Oliver", "Ethan", "Aiden"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Oliver is a knave, Ethan is a knave, and Aiden is a knight.", "solution_text_format": "(1) Oliver is a knave\n(2) Ethan is a knave\n(3) 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 Aiden is a knight and Ethan is a knight.", "Aiden cannot be a knight, because this would contradict the claim of their own that Oliver is a knave.", "Aiden cannot be a knave, because this would contradict the claim of Oliver that Aiden is a knight and Ethan is a knight.", "We have exhausted all possibilities for Aiden, so let us go back and reconsider Oliver.", "Assume Oliver is a knave. No contradiction is found in their false claim that Aiden is a knight and Ethan is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that Oliver is a knave.", "Ethan cannot be a knight, because this would contradict the false claim of Oliver that Aiden is a knight and Ethan is a knight.", "Assume Ethan is a knave. No contradiction is found in their false claim that Aiden is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 2), ('telling-truth', 1)), ('not', ('telling-truth', 2)), ('lying', 0))", "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 3 inhabitants: Penelope, Elizabeth, and Matthew. In Penelope's words: \"Elizabeth is a knave\". Elizabeth expressed that Matthew is a knight and Matthew is a knave. In Matthew's words: \"Penelope is a knight if and only if Penelope is a knave\". So who is a knight and who is a knave?", "names": ["Penelope", "Elizabeth", "Matthew"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false], "solution_text": "Penelope is a knight, Elizabeth is a knave, and Matthew is a knave.", "solution_text_format": "(1) Penelope is a knight\n(2) Elizabeth is a knave\n(3) 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 Penelope 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 Penelope that Elizabeth is a knave.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Matthew is a knight and Matthew is a knave.", "Matthew 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 Matthew is a knave. No contradiction is found in their false claim that Penelope is a knight if and only if Penelope is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('and', ('telling-truth', 2), ('lying', 2)), ('<=>', ('telling-truth', 0), ('lying', 0)))", "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 3 inhabitants: Penelope, Jacob, and Mia. Penelope asserted: \"If Mia is a knight then Mia is a knave\". Jacob said, \"If Mia is a knave then Penelope is a knight.\" In a statement by Mia: \"Penelope is a knave or Jacob is a knight\". So who is a knight and who is a knave?", "names": ["Penelope", "Jacob", "Mia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Penelope is a knave, Jacob is a knight, and Mia is a knight.", "solution_text_format": "(1) Penelope is a knave\n(2) Jacob is a knight\n(3) 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 Mia is a knave.", "Mia cannot be a knight, because this would contradict the claim of Penelope that If Mia is a knight then Mia is a knave.", "Assume Mia is a knave. No contradiction is found in their false claim that Penelope is a knave or Jacob is a knight.", "Jacob cannot be a knight, because this would contradict the false claim of Mia that Penelope is a knave or Jacob is a knight.", "Jacob cannot be a knave, because this would contradict the false claim of their own that If Mia is a knave then Penelope is a knight.", "We have exhausted all possibilities for Jacob and Mia, so let us go back and reconsider Penelope.", "Assume Penelope is a knave. No contradiction is found in their false claim that If Mia is a knight then Mia is a knave.", "Assume Mia is a knight. No contradiction is found in their claim that Penelope is a knave or Jacob is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that If Mia is a knave then Penelope is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 2), ('lying', 2)), ('->', ('lying', 2), ('telling-truth', 0)), ('or', ('lying', 0), ('telling-truth', 1)))", "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 3 inhabitants: Jack, Chloe, and Liam. Jack said that Liam is a knight if and only if Chloe is a knave. Chloe was heard saying, \"Liam is not a knave\". Liam was heard saying, \"Jack is not a knight\". So who is a knight and who is a knave?", "names": ["Jack", "Chloe", "Liam"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Jack is a knave, Chloe is a knight, and Liam is a knight.", "solution_text_format": "(1) Jack is a knave\n(2) Chloe is a knight\n(3) 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 Jack is a knight. No contradiction is found in their claim that Liam is a knight if and only if Chloe is a knave.", "Liam cannot be a knight, because this would contradict the claim of their own that Jack is not a knight.", "Assume Liam is a knave. No contradiction is found in their false claim that Jack is not a knight.", "Chloe cannot be a knight, because this would contradict the claim of their own that Liam is not a knave.", "Chloe cannot be a knave, because this would contradict the claim of Jack that Liam is a knight if and only if Chloe is a knave.", "We have exhausted all possibilities for Chloe and Liam, so let us go back and reconsider Jack.", "Assume Jack is a knave. No contradiction is found in their false claim that Liam is a knight if and only if Chloe is a knave.", "Assume Liam is a knight. No contradiction is found in their claim that Jack is not a knight.", "Assume Chloe 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), ('lying', 1)), ('not', ('lying', 2)), ('not', ('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 3 inhabitants: Harper, Ella, and Samuel. Harper said, \"Ella is a knave and Harper is a knight.\" \"Samuel is a knave if and only if Ella is a knight\" - Ella. Samuel noted, \"Samuel is a knight if and only if Harper is a knight\". So who is a knight and who is a knave?", "names": ["Harper", "Ella", "Samuel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false], "solution_text": "Harper is a knight, Ella is a knave, and Samuel is a knave.", "solution_text_format": "(1) Harper is a knight\n(2) Ella is a knave\n(3) 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 Harper is a knight. No contradiction is found in their claim that Ella is a knave and Harper is a knight.", "Ella cannot be a knight, because this would contradict the claim of Harper that Ella is a knave and Harper is a knight.", "Assume Ella is a knave. No contradiction is found in their false claim that Samuel is a knave if and only if Ella is a knight.", "Samuel cannot be a knight, because this would contradict the false claim of Ella that Samuel is a knave if and only if Ella is a knight.", "Assume Samuel is a knave. No contradiction is found in their false claim that Samuel is a knight if and only if Harper is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('telling-truth', 0)), ('<=>', ('lying', 2), ('telling-truth', 1)), ('<=>', ('telling-truth', 2), ('telling-truth', 0)))", "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 3 inhabitants: Elizabeth, Ava, and Abigail. Elizabeth said, \"Ava is a knight or Abigail is a knave.\" Ava commented, \"Abigail is not a knave\". As Abigail put it, \"Ava is a knight or Elizabeth is a knight\". So who is a knight and who is a knave?", "names": ["Elizabeth", "Ava", "Abigail"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Elizabeth is a knight, Ava is a knight, and Abigail is a knight.", "solution_text_format": "(1) Elizabeth is a knight\n(2) Ava is a knight\n(3) 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 Elizabeth is a knight. No contradiction is found in their claim that Ava is a knight or Abigail is a knave.", "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 Ava is a knight or Elizabeth is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 1), ('lying', 2)), ('not', ('lying', 2)), ('or', ('telling-truth', 1), ('telling-truth', 0)))", "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 3 inhabitants: Aria, Aiden, and Isabella. Aria told you that Isabella is a knight or Isabella is a knave. Aiden asserted: \"Aria is a knave and Isabella is a knight\". Isabella noted, \"If Aiden is a knight then Isabella is a knight\". So who is a knight and who is a knave?", "names": ["Aria", "Aiden", "Isabella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Aria is a knight, Aiden is a knave, and Isabella is a knight.", "solution_text_format": "(1) Aria is a knight\n(2) Aiden is a knave\n(3) 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 Aria is a knight. No contradiction is found in their claim that Isabella is a knight or Isabella is a knave.", "Assume Isabella is a knight. No contradiction is found in their claim that If Aiden is a knight then Isabella is a knight.", "Aiden cannot be a knight, because this would contradict the claim of their own that Aria is a knave and Isabella is a knight.", "Assume Aiden is a knave. No contradiction is found in their false claim that Aria is a knave and Isabella is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 2), ('lying', 2)), ('and', ('lying', 0), ('telling-truth', 2)), ('->', ('telling-truth', 1), ('telling-truth', 2)))", "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 3 inhabitants: Olivia, Benjamin, and Noah. Olivia expressed that Benjamin is a knight. According to Benjamin, \"Olivia is a knave if and only if Benjamin is a knight\". Noah told you that Olivia is not a knave. So who is a knight and who is a knave?", "names": ["Olivia", "Benjamin", "Noah"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false], "solution_text": "Olivia is a knave, Benjamin is a knave, and Noah is a knave.", "solution_text_format": "(1) Olivia is a knave\n(2) Benjamin is a knave\n(3) 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 Benjamin is a knight.", "Benjamin cannot be a knight, because this would contradict the claim of their own that Olivia is a knave if and only if Benjamin is a knight.", "Benjamin cannot be a knave, because this would contradict the claim of Olivia that Benjamin is a knight.", "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 a knight.", "Benjamin cannot be a knight, because this would contradict the false claim of Olivia that Benjamin is a knight.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Olivia is a knave if and only if Benjamin is a knight.", "Noah cannot be a knight, because this would contradict the claim of their own that Olivia is not a knave.", "Assume Noah 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": "(('telling-truth', 1), ('<=>', ('lying', 0), ('telling-truth', 1)), ('not', ('lying', 0)))", "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 3 inhabitants: Elizabeth, Evelyn, and Harper. \"Evelyn is a knight,\" Elizabeth mentioned. \"Elizabeth is a knight and Harper is a knight,\" Evelyn declared. As Harper put it, \"If Elizabeth is a knight then Elizabeth is a knave\". So who is a knight and who is a knave?", "names": ["Elizabeth", "Evelyn", "Harper"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Elizabeth is a knave, Evelyn is a knave, and Harper is a knight.", "solution_text_format": "(1) Elizabeth is a knave\n(2) Evelyn is a knave\n(3) 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 Elizabeth 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 and Harper is a knight.", "Harper cannot be a knight, because this would contradict the claim of their own that If Elizabeth is a knight then Elizabeth is a knave.", "Harper cannot be a knave, because this would contradict the claim of Evelyn that Elizabeth is a knight and Harper is a knight.", "We have exhausted all possibilities for Harper, so let us go back and reconsider Evelyn.", "Evelyn cannot be a knave, because this would contradict the claim of Elizabeth that Evelyn is a knight.", "We have exhausted all possibilities for Evelyn, so let us go back and reconsider Elizabeth.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Evelyn is a knight.", "Evelyn cannot be a knight, because this would contradict the false claim of Elizabeth that Evelyn is a knight.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Elizabeth is a knight and Harper is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that If Elizabeth is a knight then Elizabeth is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 1), ('and', ('telling-truth', 0), ('telling-truth', 2)), ('->', ('telling-truth', 0), ('lying', 0)))", "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 3 inhabitants: Riley, Aria, and Elizabeth. According to Riley, \"Elizabeth is a knight\". Aria commented, \"If Elizabeth is a knight then Elizabeth is a knave\". As Elizabeth put it, \"Aria is a knave if and only if Elizabeth is a knight\". So who is a knight and who is a knave?", "names": ["Riley", "Aria", "Elizabeth"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Riley is a knight, Aria is a knave, and Elizabeth is a knight.", "solution_text_format": "(1) Riley is a knight\n(2) Aria is a knave\n(3) 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 Elizabeth is a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Aria is a knave if and only if Elizabeth is a knight.", "Aria 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 Aria is a knave. No contradiction is found in their false claim that If Elizabeth is a knight then Elizabeth is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 2), ('->', ('telling-truth', 2), ('lying', 2)), ('<=>', ('lying', 1), ('telling-truth', 2)))", "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 3 inhabitants: James, Sophia, and Noah. James remarked, \"Noah is a knight\". Sophia stated, \"If Noah is a knave then James is a knave\". In a statement by Noah: \"If James is a knight then Noah is a knight\". So who is a knight and who is a knave?", "names": ["James", "Sophia", "Noah"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "James is a knight, Sophia is a knight, and Noah is a knight.", "solution_text_format": "(1) James is a knight\n(2) Sophia is a knight\n(3) 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 James 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 James is a knight then Noah is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that If Noah is a knave then James is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 2), ('->', ('lying', 2), ('lying', 0)), ('->', ('telling-truth', 0), ('telling-truth', 2)))", "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 3 inhabitants: Emma, Scarlett, and David. Emma commented, \"Emma is a knight\". Scarlett noted, \"Emma is a knight and David is a knave\". David remarked, \"Scarlett is not a knave\". So who is a knight and who is a knave?", "names": ["Emma", "Scarlett", "David"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false], "solution_text": "Emma is a knave, Scarlett is a knave, and David is a knave.", "solution_text_format": "(1) Emma is a knave\n(2) Scarlett is a knave\n(3) 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 Emma is a knight. No contradiction is found in their claim that Emma is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that Emma is a knight and David is a knave.", "David cannot be a knight, because this would contradict the claim of Scarlett that Emma is a knight and David is a knave.", "David cannot be a knave, because this would contradict the false claim of their own that Scarlett is not a knave.", "We have exhausted all possibilities for David, so let us go back and reconsider Scarlett.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Emma is a knight and David is a knave.", "David cannot be a knight, because this would contradict the claim of their own that Scarlett is not a knave.", "David cannot be a knave, because this would contradict the false claim of Scarlett that Emma is a knight and David is a knave.", "We have exhausted all possibilities for David and Scarlett, so let us go back and reconsider Emma.", "Assume Emma is a knave. No contradiction is found in their false claim that Emma is a knight.", "Scarlett cannot be a knight, because this would contradict the claim of their own that Emma is a knight and David is a knave.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Emma is a knight and David is a knave.", "David cannot be a knight, because this would contradict the claim of their own that Scarlett is not a knave.", "Assume David is a knave. No contradiction is found in their false claim that Scarlett is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 0), ('and', ('telling-truth', 0), ('lying', 2)), ('not', ('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 3 inhabitants: Benjamin, Noah, and Logan. In a statement by Benjamin: \"Noah is a knight or Logan is a knight\". \"Benjamin is a knight,\" Noah mentioned. Logan stated, \"If Noah is a knave then Benjamin is a knave\". So who is a knight and who is a knave?", "names": ["Benjamin", "Noah", "Logan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Benjamin is a knight, Noah is a knight, and Logan is a knight.", "solution_text_format": "(1) Benjamin is a knight\n(2) Noah is a knight\n(3) 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 Benjamin is a knight. No contradiction is found in their claim that Noah is a knight or Logan is a knight.", "Assume Noah is a knight. No contradiction is found in their claim that Benjamin is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that If Noah is a knave then Benjamin is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 1), ('telling-truth', 2)), ('telling-truth', 0), ('->', ('lying', 1), ('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 3 inhabitants: Samuel, Riley, and Ella. Samuel told you that Riley is a knave. According to Riley, \"Ella is not a knave\". Ella said that Riley is a knave or Ella is a knight. So who is a knight and who is a knave?", "names": ["Samuel", "Riley", "Ella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Samuel is a knave, Riley is a knight, and Ella is a knight.", "solution_text_format": "(1) Samuel is a knave\n(2) Riley is a knight\n(3) 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 Samuel 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 Samuel that Riley is a knave.", "Assume Riley 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 Riley that Ella is not a knave.", "Ella cannot be a knave, because this would contradict the false claim of their own that Riley is a knave or Ella is a knight.", "We have exhausted all possibilities for Ella and Riley, so let us go back and reconsider Samuel.", "Assume Samuel 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 Ella is not a knave.", "Assume Ella is a knight. No contradiction is found in their claim that Riley is a knave or Ella is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('not', ('lying', 2)), ('or', ('lying', 1), ('telling-truth', 2)))", "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 3 inhabitants: Ava, Aurora, and Oliver. Ava told you that Oliver is a knave. \"Oliver is a knight or Aurora is a knight,\" Aurora claimed. \"Aurora is not a knight,\" Oliver declared. So who is a knight and who is a knave?", "names": ["Ava", "Aurora", "Oliver"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Ava is a knight, Aurora is a knight, and Oliver is a knave.", "solution_text_format": "(1) Ava is a knight\n(2) Aurora is a knight\n(3) 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 Ava 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 Ava that Oliver is a knave.", "Assume Oliver 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 Oliver is a knight or Aurora is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 2), ('or', ('telling-truth', 2), ('telling-truth', 1)), ('not', ('telling-truth', 1)))", "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 3 inhabitants: Jackson, Ava, and Owen. \"Ava is a knight or Owen is a knave,\" Jackson declared. According to Ava, \"Owen is a knave and Owen is a knight\". Owen said, \"Ava is not a knave.\" So who is a knight and who is a knave?", "names": ["Jackson", "Ava", "Owen"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false], "solution_text": "Jackson is a knight, Ava is a knave, and Owen is a knave.", "solution_text_format": "(1) Jackson is a knight\n(2) Ava is a knave\n(3) 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 Jackson is a knight. No contradiction is found in their claim that Ava is a knight or Owen is a knave.", "Ava cannot be a knight, because this would contradict the claim of their own that Owen is a knave and Owen is a knight.", "Assume Ava is a knave. No contradiction is found in their false claim that Owen is a knave and Owen is a knight.", "Owen cannot be a knight, because this would contradict the claim of Jackson that Ava is a knight or Owen is a knave.", "Assume Owen is a knave. No contradiction is found in their false claim that Ava is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 1), ('lying', 2)), ('and', ('lying', 2), ('telling-truth', 2)), ('not', ('lying', 1)))", "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 3 inhabitants: Penelope, Jacob, and Jack. Penelope expressed that Jack is a knight and Jacob is a knight. Jacob said, \"Penelope is a knight.\" Jack said, \"Penelope is a knave and Jacob is a knight.\" So who is a knight and who is a knave?", "names": ["Penelope", "Jacob", "Jack"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false], "solution_text": "Penelope is a knave, Jacob is a knave, and Jack is a knave.", "solution_text_format": "(1) Penelope is a knave\n(2) Jacob is a knave\n(3) 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 Penelope is a knight. No contradiction is found in their claim that Jack is a knight and Jacob is a knight.", "Jack cannot be a knight, because this would contradict the claim of their own that Penelope is a knave and Jacob is a knight.", "Jack cannot be a knave, because this would contradict the claim of Penelope that Jack is a knight and Jacob is a knight.", "We have exhausted all possibilities for 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 knight and Jacob is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that Penelope is a knave and Jacob is a knight.", "Jacob cannot be a knight, because this would contradict the false claim of Penelope that Jack is a knight and Jacob is a knight.", "Jacob cannot be a knave, because this would contradict the claim of Jack that Penelope is a knave and Jacob is a knight.", "We have exhausted all possibilities for Jacob, so let us go back and reconsider Jack.", "Assume Jack is a knave. No contradiction is found in their false claim that Penelope is a knave and Jacob is a knight.", "Jacob cannot be a knight, because this would contradict the claim of their own that Penelope is a knight.", "Assume Jacob is a knave. No contradiction is found in their false claim that Penelope is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 2), ('telling-truth', 1)), ('telling-truth', 0), ('and', ('lying', 0), ('telling-truth', 1)))", "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 3 inhabitants: Avery, Liam, and James. \"Liam is a knave or Avery is a knight\" - Avery. Liam noted, \"If Liam is a knight then James is a knight\". In James's words: \"Avery is a knave or Liam is a knave\". So who is a knight and who is a knave?", "names": ["Avery", "Liam", "James"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Avery is a knave, Liam is a knight, and James is a knight.", "solution_text_format": "(1) Avery is a knave\n(2) Liam is a knight\n(3) 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 Avery is a knight. No contradiction is found in their claim that Liam is a knave or Avery is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that If Liam is a knight then James is a knight.", "James cannot be a knight, because this would contradict the claim of their own that Avery is a knave or Liam is a knave.", "James cannot be a knave, because this would contradict the claim of Liam that If Liam is a knight then James is a knight.", "We have exhausted all possibilities for James, 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 Liam is a knight then James is a knight.", "We have exhausted all possibilities for Liam, so let us go back and reconsider Avery.", "Assume Avery is a knave. No contradiction is found in their false claim that Liam is a knave or Avery is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that If Liam is a knight then James is a knight.", "Assume James is a knight. No contradiction is found in their claim that Avery is a knave or Liam is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('telling-truth', 0)), ('->', ('telling-truth', 1), ('telling-truth', 2)), ('or', ('lying', 0), ('lying', 1)))", "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 3 inhabitants: Michael, Emily, and Mia. \"If Emily is a knave then Mia is a knave,\" Michael mentioned. \"Mia is a knave or Michael is a knave,\" Emily declared. As Mia put it, \"Michael is not a knight\". So who is a knight and who is a knave?", "names": ["Michael", "Emily", "Mia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Michael is a knight, Emily is a knight, and Mia is a knave.", "solution_text_format": "(1) Michael is a knight\n(2) Emily is a knight\n(3) 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 Michael is a knight. No contradiction is found in their claim that If Emily is a knave then Mia is a knave.", "Assume Emily is a knight. No contradiction is found in their claim that Mia is a knave or Michael is a knave.", "Mia cannot be a knight, because this would contradict the claim of Emily that Mia is a knave or Michael is a knave.", "Assume Mia 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": "(('->', ('lying', 1), ('lying', 2)), ('or', ('lying', 2), ('lying', 0)), ('not', ('telling-truth', 0)))", "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 3 inhabitants: Oliver, Penelope, and Jack. \"Jack is a knight or Jack is a knave,\" Oliver mentioned. Penelope was heard saying, \"Oliver is a knave\". Jack was heard saying, \"If Oliver is a knave then Penelope is a knight\". So who is a knight and who is a knave?", "names": ["Oliver", "Penelope", "Jack"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Oliver is a knight, Penelope is a knave, and Jack is a knight.", "solution_text_format": "(1) Oliver is a knight\n(2) Penelope is a knave\n(3) 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 Oliver 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 If Oliver is a knave then Penelope is a knight.", "Penelope cannot be a knight, because this would contradict the claim of their own that Oliver is a knave.", "Assume Penelope is a knave. No contradiction is found in their false claim that Oliver is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 2), ('lying', 2)), ('lying', 0), ('->', ('lying', 0), ('telling-truth', 1)))", "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 3 inhabitants: Joseph, Daniel, and Sofia. Joseph stated, \"Sofia is a knight if and only if Daniel is a knight\". Daniel said that Sofia is a knave if and only if Sofia is a knight. Sofia asserted: \"Joseph is a knave if and only if Sofia is a knight\". So who is a knight and who is a knave?", "names": ["Joseph", "Daniel", "Sofia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Joseph is a knave, Daniel is a knave, and Sofia is a knight.", "solution_text_format": "(1) Joseph is a knave\n(2) Daniel is a knave\n(3) 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 Sofia is a knight if and only if Daniel is a knight.", "Sofia cannot be a knight, because this would contradict the claim of their own that Joseph is a knave if and only if Sofia is a knight.", "Sofia cannot be a knave, because this would contradict the false claim of their own that Joseph is a knave if and only if Sofia 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 knight if and only if Daniel is a knight.", "Assume Sofia is a knight. No contradiction is found in their claim that Joseph is a knave if and only if Sofia is a knight.", "Daniel cannot be a knight, because this would contradict the false claim of Joseph 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 Sofia is a knave if and only if Sofia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 2), ('telling-truth', 1)), ('<=>', ('lying', 2), ('telling-truth', 2)), ('<=>', ('lying', 0), ('telling-truth', 2)))", "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 3 inhabitants: Evelyn, Ella, and Charlotte. As Evelyn put it, \"Ella is a knight or Ella is a knave\". Ella told you that Charlotte is a knight or Charlotte is a knave. Charlotte said, \"Ella is a knave and Evelyn is a knight.\" So who is a knight and who is a knave?", "names": ["Evelyn", "Ella", "Charlotte"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Evelyn is a knight, Ella is a knight, and Charlotte is a knave.", "solution_text_format": "(1) Evelyn is a knight\n(2) Ella is a knight\n(3) 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 Evelyn 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 Charlotte is a knight or Charlotte is a knave.", "Charlotte cannot be a knight, because this would contradict the claim of their own that Ella is a knave and Evelyn is a knight.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Ella is a knave and Evelyn is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 1), ('lying', 1)), ('or', ('telling-truth', 2), ('lying', 2)), ('and', ('lying', 1), ('telling-truth', 0)))", "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 3 inhabitants: Evelyn, Samuel, and David. Evelyn commented, \"David is a knave\". Samuel was heard saying, \"If Evelyn is a knave then David is a knight\". David commented, \"Evelyn is a knight and David is a knight\". So who is a knight and who is a knave?", "names": ["Evelyn", "Samuel", "David"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Evelyn is a knight, Samuel is a knight, and David is a knave.", "solution_text_format": "(1) Evelyn is a knight\n(2) Samuel is a knight\n(3) 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 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 Evelyn is a knight and David is a knight.", "Assume Samuel is a knight. No contradiction is found in their claim that If Evelyn is a knave then David is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 2), ('->', ('lying', 0), ('telling-truth', 2)), ('and', ('telling-truth', 0), ('telling-truth', 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 3 inhabitants: Abigail, Zoey, and Elizabeth. As Abigail put it, \"Elizabeth is not a knave\". Zoey asserted: \"Elizabeth is a knave if and only if Elizabeth is a knight\". According to Elizabeth, \"Abigail is a knave or Elizabeth is a knight\". So who is a knight and who is a knave?", "names": ["Abigail", "Zoey", "Elizabeth"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Abigail is a knight, Zoey is a knave, and Elizabeth is a knight.", "solution_text_format": "(1) Abigail is a knight\n(2) Zoey is a knave\n(3) 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 Abigail 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 Abigail is a knave or Elizabeth is a knight.", "Zoey 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 Zoey is a knave. No contradiction is found in their false claim that Elizabeth is a knave if and only if Elizabeth is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 2)), ('<=>', ('lying', 2), ('telling-truth', 2)), ('or', ('lying', 0), ('telling-truth', 2)))", "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 3 inhabitants: Evelyn, Mia, and Logan. Evelyn said, \"Logan is a knave and Evelyn is a knight.\" According to Mia, \"If Mia is a knight then Logan is a knight\". \"If Evelyn is a knight then Evelyn is a knave,\" Logan claimed. So who is a knight and who is a knave?", "names": ["Evelyn", "Mia", "Logan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Evelyn is a knave, Mia is a knight, and Logan is a knight.", "solution_text_format": "(1) Evelyn is a knave\n(2) Mia is a knight\n(3) 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 Logan is a knave and Evelyn is a knight.", "Logan cannot be a knight, because this would contradict the claim of Evelyn that Logan is a knave and Evelyn is a knight.", "Assume Logan is a knave. No contradiction is found in their false claim that If Evelyn is a knight then Evelyn is a knave.", "Mia cannot be a knight, because this would contradict the claim of their own that If Mia is a knight then Logan 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 Logan is a knight.", "We have exhausted all possibilities for Mia and 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 a knave and Evelyn is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that If Evelyn is a knight then Evelyn is a knave.", "Assume Mia is a knight. No contradiction is found in their claim that If Mia is a knight then Logan is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('telling-truth', 0)), ('->', ('telling-truth', 1), ('telling-truth', 2)), ('->', ('telling-truth', 0), ('lying', 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 3 inhabitants: Aria, Sophia, and Jacob. \"If Aria is a knight then Jacob is a knave,\" Aria declared. \"If Aria is a knight then Jacob is a knave,\" Sophia declared. Jacob was heard saying, \"If Sophia is a knight then Sophia is a knave\". So who is a knight and who is a knave?", "names": ["Aria", "Sophia", "Jacob"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Aria is a knight, Sophia is a knight, and Jacob is a knave.", "solution_text_format": "(1) Aria is a knight\n(2) Sophia is a knight\n(3) 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 If Aria is a knight then Jacob is a knave.", "Jacob cannot be a knight, because this would contradict the claim of Aria that If Aria is a knight then Jacob is a knave.", "Assume Jacob is a knave. No contradiction is found in their false claim that If Sophia is a knight then Sophia is a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that If Aria is a knight then Jacob is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 0), ('lying', 2)), ('->', ('telling-truth', 0), ('lying', 2)), ('->', ('telling-truth', 1), ('lying', 1)))", "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 3 inhabitants: Jackson, Mia, and Sophia. Jackson noted, \"Mia is a knight and Jackson is a knight\". Mia said, \"Sophia is a knave and Jackson is a knight.\" Sophia was heard saying, \"If Jackson is a knave then Jackson is a knight\". So who is a knight and who is a knave?", "names": ["Jackson", "Mia", "Sophia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false], "solution_text": "Jackson is a knave, Mia is a knave, and Sophia is a knave.", "solution_text_format": "(1) Jackson is a knave\n(2) Mia is a knave\n(3) 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 Jackson is a knight. No contradiction is found in their claim that Mia is a knight and Jackson is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that Sophia is a knave and Jackson is a knight.", "Sophia cannot be a knight, because this would contradict the claim of Mia that Sophia is a knave and Jackson is a knight.", "Sophia cannot be a knave, because this would contradict the false claim of their own that If Jackson is a knave then Jackson is a knight.", "We have exhausted all possibilities for Sophia, so let us go back and reconsider Mia.", "Mia cannot be a knave, because this would contradict the claim of Jackson that Mia is a knight and Jackson is a knight.", "We have exhausted all possibilities for Mia, so let us go back and reconsider Jackson.", "Assume Jackson is a knave. No contradiction is found in their false claim that Mia is a knight and Jackson is a knight.", "Mia cannot be a knight, because this would contradict the claim of their own that Sophia is a knave and Jackson is a knight.", "Assume Mia is a knave. No contradiction is found in their false claim that Sophia is a knave and Jackson is a knight.", "Sophia cannot be a knight, because this would contradict the claim of their own that If Jackson is a knave then Jackson is a knight.", "Assume Sophia is a knave. No contradiction is found in their false claim that If Jackson is a knave then Jackson 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)), ('->', ('lying', 0), ('telling-truth', 0)))", "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 3 inhabitants: Aiden, James, and Victoria. Aiden stated, \"Victoria is a knave and Aiden is a knight\". \"Victoria is a knight if and only if Aiden is a knave,\" James mentioned. Victoria commented, \"James is a knave and Aiden is a knave\". So who is a knight and who is a knave?", "names": ["Aiden", "James", "Victoria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Aiden is a knight, James is a knight, and Victoria is a knave.", "solution_text_format": "(1) Aiden is a knight\n(2) James is a knight\n(3) 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 Aiden is a knight. No contradiction is found in their claim that Victoria is a knave and Aiden is a knight.", "Victoria cannot be a knight, because this would contradict the claim of Aiden that Victoria is a knave and Aiden is a knight.", "Assume Victoria is a knave. No contradiction is found in their false claim that James is a knave and Aiden is a knave.", "Assume James is a knight. No contradiction is found in their claim that Victoria is a knight if and only if Aiden is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('telling-truth', 0)), ('<=>', ('telling-truth', 2), ('lying', 0)), ('and', ('lying', 1), ('lying', 0)))", "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 3 inhabitants: Emily, Liam, and Ava. Emily noted, \"If Liam is a knight then Emily is a knight\". \"Ava is a knave if and only if Ava is a knight\" - Liam. As Ava put it, \"Emily is not a knight\". So who is a knight and who is a knave?", "names": ["Emily", "Liam", "Ava"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false], "solution_text": "Emily is a knight, Liam is a knave, and Ava is a knave.", "solution_text_format": "(1) Emily is a knight\n(2) Liam is a knave\n(3) 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 Emily is a knight. No contradiction is found in their claim that If Liam is a knight then Emily is a knight.", "Liam 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 Liam is a knave. No contradiction is found in their false claim that Ava is a knave if and only if Ava is a knight.", "Ava cannot be a knight, because this would contradict the claim of their own that Emily is not a knight.", "Assume Ava 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": "(('->', ('telling-truth', 1), ('telling-truth', 0)), ('<=>', ('lying', 2), ('telling-truth', 2)), ('not', ('telling-truth', 0)))", "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 3 inhabitants: Joseph, Victoria, and Amelia. According to Joseph, \"Joseph is a knight or Amelia is a knight\". \"If Joseph is a knight then Amelia is a knave\" - Victoria. Amelia expressed that Victoria is a knight if and only if Joseph is a knight. So who is a knight and who is a knave?", "names": ["Joseph", "Victoria", "Amelia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Joseph is a knave, Victoria is a knight, and Amelia is a knave.", "solution_text_format": "(1) Joseph is a knave\n(2) Victoria is a knight\n(3) 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 Joseph is a knight. No contradiction is found in their claim that Joseph is a knight or Amelia is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that Victoria is a knight if and only if Joseph is a knight.", "Victoria cannot be a knight, because this would contradict the claim of their own that If Joseph is a knight then Amelia is a knave.", "Victoria cannot be a knave, because this would contradict the claim of Amelia that Victoria is a knight if and only if Joseph is a knight.", "We have exhausted all possibilities for Victoria, so let us go back and reconsider Amelia.", "Assume Amelia is a knave. No contradiction is found in their false claim that Victoria is a knight if and only if Joseph is a knight.", "Victoria cannot be a knight, because this would contradict the false claim of Amelia that Victoria is a knight if and only if Joseph is a knight.", "Victoria cannot be a knave, because this would contradict the false claim of their own that If Joseph is a knight then Amelia is a knave.", "We have exhausted all possibilities for Victoria and Amelia, so let us go back and reconsider Joseph.", "Assume Joseph is a knave. No contradiction is found in their false claim that Joseph is a knight or Amelia is a knight.", "Amelia cannot be a knight, because this would contradict the false claim of Joseph that Joseph is a knight or Amelia is a knight.", "Assume Amelia is a knave. No contradiction is found in their false claim that Victoria is a knight if and only if Joseph is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that If Joseph is a knight then Amelia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 0), ('telling-truth', 2)), ('->', ('telling-truth', 0), ('lying', 2)), ('<=>', ('telling-truth', 1), ('telling-truth', 0)))", "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 3 inhabitants: Zoey, Aurora, and Chloe. \"Aurora is not a knight,\" Zoey claimed. Aurora said that Zoey is a knave if and only if Chloe is a knave. Chloe said, \"Zoey is a knight or Chloe is a knight.\" So who is a knight and who is a knave?", "names": ["Zoey", "Aurora", "Chloe"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Zoey is a knave, Aurora is a knight, and Chloe is a knave.", "solution_text_format": "(1) Zoey is a knave\n(2) Aurora is a knight\n(3) 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 Zoey 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 Zoey that Aurora is not a knight.", "Assume Aurora is a knave. No contradiction is found in their false claim that Zoey is a knave if and only if Chloe is a knave.", "Chloe cannot be a knight, because this would contradict the false claim of Aurora that Zoey is a knave if and only if Chloe is a knave.", "Chloe cannot be a knave, because this would contradict the false claim of their own that Zoey is a knight or Chloe is a knight.", "We have exhausted all possibilities for Chloe and Aurora, so let us go back and reconsider Zoey.", "Assume Zoey 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 Zoey is a knave if and only if Chloe is a knave.", "Chloe cannot be a knight, because this would contradict the claim of Aurora that Zoey is a knave if and only if Chloe is a knave.", "Assume Chloe is a knave. No contradiction is found in their false claim that Zoey is a knight or Chloe is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('<=>', ('lying', 0), ('lying', 2)), ('or', ('telling-truth', 0), ('telling-truth', 2)))", "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 3 inhabitants: Emily, Harper, and Henry. \"Emily is a knight,\" Emily mentioned. Harper noted, \"Henry is not a knight\". Henry stated, \"Harper is a knight or Emily is a knave\". So who is a knight and who is a knave?", "names": ["Emily", "Harper", "Henry"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Emily is a knave, Harper is a knave, and Henry is a knight.", "solution_text_format": "(1) Emily is a knave\n(2) Harper is a knave\n(3) 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 Emily is a knight. No contradiction is found in their claim that Emily is a knight.", "Assume Harper 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 Harper that Henry is not a knight.", "Henry cannot be a knave, because this would contradict the false claim of their own that Harper is a knight or Emily is a knave.", "We have exhausted all possibilities for Henry, so let us go back and reconsider Harper.", "Assume Harper is a knave. No contradiction is found in their false claim that Henry is not a knight.", "Henry cannot be a knight, because this would contradict the claim of their own that Harper is a knight or Emily is a knave.", "Henry cannot be a knave, because this would contradict the false claim of Harper that Henry is not a knight.", "We have exhausted all possibilities for Henry and Harper, 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.", "Assume Harper 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 Harper that Henry is not a knight.", "Henry cannot be a knave, because this would contradict the false claim of their own that Harper is a knight or Emily is a knave.", "We have exhausted all possibilities for Henry, so let us go back and reconsider Harper.", "Assume Harper is a knave. No contradiction is found in their false claim that Henry is not a knight.", "Assume Henry is a knight. No contradiction is found in their claim that Harper is a knight or Emily is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 0), ('not', ('telling-truth', 2)), ('or', ('telling-truth', 1), ('lying', 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 3 inhabitants: Mason, Luke, and Charlotte. Mason said, \"If Mason is a knight then Charlotte is a knave.\" In a statement by Luke: \"Mason is not a knave\". \"Mason is not a knight\" - Charlotte. So who is a knight and who is a knave?", "names": ["Mason", "Luke", "Charlotte"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Mason is a knight, Luke is a knight, and Charlotte is a knave.", "solution_text_format": "(1) Mason is a knight\n(2) Luke is a knight\n(3) 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 Mason is a knight. No contradiction is found in their claim that If Mason is a knight then Charlotte is a knave.", "Charlotte cannot be a knight, because this would contradict the claim of Mason that If Mason is a knight then Charlotte is a knave.", "Assume Charlotte 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 Mason is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 0), ('lying', 2)), ('not', ('lying', 0)), ('not', ('telling-truth', 0)))", "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 3 inhabitants: Oliver, Ethan, and Elizabeth. Oliver said, \"If Oliver is a knight then Ethan is a knight.\" \"Oliver is a knight or Oliver is a knave,\" Ethan mentioned. In a statement by Elizabeth: \"Ethan is a knight\". So who is a knight and who is a knave?", "names": ["Oliver", "Ethan", "Elizabeth"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Oliver is a knight, Ethan is a knight, and Elizabeth is a knight.", "solution_text_format": "(1) Oliver is a knight\n(2) Ethan is a knight\n(3) 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 Oliver is a knight. No contradiction is found in their claim that If Oliver is a knight then Ethan is a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that Oliver is a knight or Oliver 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": "(('->', ('telling-truth', 0), ('telling-truth', 1)), ('or', ('telling-truth', 0), ('lying', 0)), ('telling-truth', 1))", "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 3 inhabitants: Grace, Michael, and James. Grace commented, \"Michael is a knave\". According to Michael, \"If Grace is a knave then James is a knave\". As James put it, \"Grace is a knight and Grace is a knave\". So who is a knight and who is a knave?", "names": ["Grace", "Michael", "James"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Grace is a knave, Michael is a knight, and James is a knave.", "solution_text_format": "(1) Grace is a knave\n(2) Michael is a knight\n(3) 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 Michael is a knave.", "Michael cannot be a knight, because this would contradict the claim of Grace that Michael is a knave.", "Michael cannot be a knave, because this would contradict the false claim of their own that If Grace is a knave then James is a knave.", "We have exhausted all possibilities for Michael, so let us go back and reconsider Grace.", "Assume Grace 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 If Grace is a knave then James is a knave.", "James cannot be a knight, because this would contradict the claim of Michael that If Grace is a knave then James is a knave.", "Assume James is a knave. No contradiction is found in their false claim that Grace is a knight and Grace is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('->', ('lying', 0), ('lying', 2)), ('and', ('telling-truth', 0), ('lying', 0)))", "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 3 inhabitants: Harper, James, and William. Harper expressed that James is a knave or James is a knight. James said that Harper is a knight or William is a knight. In a statement by William: \"If James is a knave then Harper is a knight\". So who is a knight and who is a knave?", "names": ["Harper", "James", "William"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Harper is a knight, James is a knight, and William is a knight.", "solution_text_format": "(1) Harper is a knight\n(2) James is a knight\n(3) 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 James is a knave or James is a knight.", "Assume James is a knight. No contradiction is found in their claim that Harper is a knight or William is a knight.", "Assume William is a knight. No contradiction is found in their claim that If James is a knave then Harper is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('telling-truth', 1)), ('or', ('telling-truth', 0), ('telling-truth', 2)), ('->', ('lying', 1), ('telling-truth', 0)))", "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 3 inhabitants: Charlotte, Oliver, and Ethan. Charlotte expressed that Oliver is a knight if and only if Oliver is a knave. In a statement by Oliver: \"Charlotte is a knight or Ethan is a knight\". Ethan said that Charlotte is a knight. So who is a knight and who is a knave?", "names": ["Charlotte", "Oliver", "Ethan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false], "solution_text": "Charlotte is a knave, Oliver is a knave, and Ethan is a knave.", "solution_text_format": "(1) Charlotte is a knave\n(2) Oliver is a knave\n(3) 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": ["Charlotte cannot be a knight, because this would contradict the claim of their own that Oliver is a knight if and only if Oliver is a knave.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Oliver is a knight if and only if Oliver is a knave.", "Assume Oliver is a knight. No contradiction is found in their claim that Charlotte is a knight or Ethan is a knight.", "Ethan cannot be a knight, because this would contradict the claim of their own that Charlotte is a knight.", "Ethan cannot be a knave, because this would contradict the claim of Oliver that Charlotte is a knight or Ethan is a knight.", "We have exhausted all possibilities for Ethan, so let us go back and reconsider Oliver.", "Assume Oliver is a knave. No contradiction is found in their false claim that Charlotte is a knight or Ethan is a knight.", "Ethan cannot be a knight, because this would contradict the false claim of Oliver that Charlotte is a knight or Ethan is a knight.", "Assume Ethan is a knave. No contradiction is found in their false claim that Charlotte is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('lying', 1)), ('or', ('telling-truth', 0), ('telling-truth', 2)), ('telling-truth', 0))", "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 3 inhabitants: Matthew, Luke, and Riley. Matthew said that Riley is a knave. Luke asserted: \"Riley is not a knave\". Riley said that Luke is a knave if and only if Luke is a knight. So who is a knight and who is a knave?", "names": ["Matthew", "Luke", "Riley"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false], "solution_text": "Matthew is a knight, Luke is a knave, and Riley is a knave.", "solution_text_format": "(1) Matthew is a knight\n(2) Luke is a knave\n(3) 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 Matthew 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 Matthew that Riley is a knave.", "Assume Riley 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 Riley is not a knave.", "Assume Luke is a knave. No contradiction is found in their false claim that Riley is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 2), ('not', ('lying', 2)), ('<=>', ('lying', 1), ('telling-truth', 1)))", "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 3 inhabitants: Liam, Aria, and Riley. Liam said, \"If Aria is a knave then Liam is a knight.\" Aria remarked, \"Riley is a knave or Riley is a knight\". Riley asserted: \"Liam is a knight\". So who is a knight and who is a knave?", "names": ["Liam", "Aria", "Riley"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Liam is a knight, Aria is a knight, and Riley is a knight.", "solution_text_format": "(1) Liam is a knight\n(2) Aria is a knight\n(3) 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 Liam is a knight. No contradiction is found in their claim that If Aria is a knave then Liam is a knight.", "Assume Aria is a knight. No contradiction is found in their claim that Riley is a knave or Riley is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that Liam is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 1), ('telling-truth', 0)), ('or', ('lying', 2), ('telling-truth', 2)), ('telling-truth', 0))", "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 3 inhabitants: Sofia, Emily, and Riley. Sofia stated, \"Emily is a knave and Emily is a knight\". \"If Emily is a knight then Sofia is a knave\" - Emily. Riley commented, \"If Sofia is a knave then Emily is a knave\". So who is a knight and who is a knave?", "names": ["Sofia", "Emily", "Riley"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Sofia is a knave, Emily is a knight, and Riley is a knave.", "solution_text_format": "(1) Sofia is a knave\n(2) Emily is a knight\n(3) 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 Emily is a knave and Emily is a knight.", "Assume Sofia 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 If Emily is a knight then Sofia is a knave.", "Riley cannot be a knight, because this would contradict the claim of their own that If Sofia is a knave then Emily is a knave.", "Assume Riley is a knave. No contradiction is found in their false claim that If Sofia is a knave then Emily is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('telling-truth', 1)), ('->', ('telling-truth', 1), ('lying', 0)), ('->', ('lying', 0), ('lying', 1)))", "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 3 inhabitants: Victoria, Avery, and Jacob. \"Avery is a knight if and only if Jacob is a knave,\" Victoria claimed. \"Jacob is not a knight\" - Avery. Jacob told you that If Jacob is a knight then Victoria is a knight. So who is a knight and who is a knave?", "names": ["Victoria", "Avery", "Jacob"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Victoria is a knight, Avery is a knave, and Jacob is a knight.", "solution_text_format": "(1) Victoria is a knight\n(2) Avery is a knave\n(3) 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 Victoria is a knight. No contradiction is found in their claim that Avery is a knight if and only if Jacob is a knave.", "Assume Avery 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 Victoria that Avery is a knight if and only if Jacob is a knave.", "Jacob cannot be a knave, because this would contradict the false claim of their own that If Jacob is a knight then Victoria is a knight.", "We have exhausted all possibilities for Jacob, so let us go back and reconsider Avery.", "Assume Avery 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 Jacob is a knight then Victoria is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('lying', 2)), ('not', ('telling-truth', 2)), ('->', ('telling-truth', 2), ('telling-truth', 0)))", "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 3 inhabitants: Amelia, Henry, and Daniel. Amelia noted, \"Daniel is a knave\". In a statement by Henry: \"Amelia is a knight or Daniel is a knave\". \"Henry is a knight and Daniel is a knight,\" Daniel mentioned. So who is a knight and who is a knave?", "names": ["Amelia", "Henry", "Daniel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Amelia is a knight, Henry is a knight, and Daniel is a knave.", "solution_text_format": "(1) Amelia is a knight\n(2) Henry is a knight\n(3) 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 Daniel is a knave.", "Daniel cannot be a knight, because this would contradict the claim of Amelia that Daniel is a knave.", "Assume Daniel is a knave. No contradiction is found in their false claim that Henry is a knight and Daniel is a knight.", "Assume Henry 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": "(('lying', 2), ('or', ('telling-truth', 0), ('lying', 2)), ('and', ('telling-truth', 1), ('telling-truth', 2)))", "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 3 inhabitants: Emma, Ava, and Aiden. In Emma's words: \"Ava is a knave or Aiden is a knave\". In Ava's words: \"Aiden is a knave and Aiden is a knight\". Aiden told you that Emma is a knave and Ava is a knave. So who is a knight and who is a knave?", "names": ["Emma", "Ava", "Aiden"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false], "solution_text": "Emma is a knight, Ava is a knave, and Aiden is a knave.", "solution_text_format": "(1) Emma is a knight\n(2) Ava is a knave\n(3) 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 Emma is a knight. No contradiction is found in their claim that Ava is a knave or Aiden is a knave.", "Ava cannot be a knight, because this would contradict the claim of their own that Aiden is a knave and Aiden is a knight.", "Assume Ava is a knave. No contradiction is found in their false claim that Aiden is a knave and Aiden is a knight.", "Aiden cannot be a knight, because this would contradict the claim of their own that Emma is a knave and Ava is a knave.", "Assume Aiden is a knave. No contradiction is found in their false claim that Emma is a knave and Ava is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('lying', 2)), ('and', ('lying', 2), ('telling-truth', 2)), ('and', ('lying', 0), ('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 3 inhabitants: Lucas, Harper, and Scarlett. As Lucas put it, \"If Lucas is a knight then Scarlett is a knave\". \"Scarlett is a knight,\" Harper mentioned. According to Scarlett, \"Lucas is not a knight\". So who is a knight and who is a knave?", "names": ["Lucas", "Harper", "Scarlett"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false], "solution_text": "Lucas is a knight, Harper is a knave, and Scarlett is a knave.", "solution_text_format": "(1) Lucas is a knight\n(2) Harper is a knave\n(3) 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 Lucas is a knight. No contradiction is found in their claim that If Lucas is a knight then Scarlett is a knave.", "Scarlett cannot be a knight, because this would contradict the claim of Lucas that If Lucas is a knight then Scarlett is a knave.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Lucas is not a knight.", "Harper cannot be a knight, because this would contradict the claim of their own that Scarlett is a knight.", "Assume Harper 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', 0), ('lying', 2)), ('telling-truth', 2), ('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 3 inhabitants: Oliver, Lily, and Emma. Oliver expressed that Lily is a knight or Lily is a knave. \"Emma is a knave if and only if Emma is a knight,\" Lily claimed. Emma asserted: \"Oliver is not a knight\". So who is a knight and who is a knave?", "names": ["Oliver", "Lily", "Emma"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false], "solution_text": "Oliver is a knight, Lily is a knave, and Emma is a knave.", "solution_text_format": "(1) Oliver is a knight\n(2) Lily is a knave\n(3) 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 Lily is a knight or Lily is a knave.", "Lily cannot be a knight, because this would contradict the claim of their own that Emma is a knave if and only if Emma is a knight.", "Assume Lily is a knave. No contradiction is found in their false claim that Emma is a knave if and only if Emma is a knight.", "Emma cannot be a knight, because this would contradict the claim of their own that Oliver is not a knight.", "Assume Emma is a knave. No contradiction is found in their false claim that Oliver is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 1), ('lying', 1)), ('<=>', ('lying', 2), ('telling-truth', 2)), ('not', ('telling-truth', 0)))", "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 3 inhabitants: Lily, Evelyn, and Logan. As Lily put it, \"Evelyn is not a knight\". In Evelyn's words: \"Logan is a knight if and only if Evelyn is a knight\". Logan commented, \"Lily is not a knight\". So who is a knight and who is a knave?", "names": ["Lily", "Evelyn", "Logan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Lily is a knave, Evelyn is a knight, and Logan is a knight.", "solution_text_format": "(1) Lily is a knave\n(2) Evelyn is a knight\n(3) 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 Lily 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 Lily that Evelyn is not a knight.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Logan is a knight if and only if Evelyn is a knight.", "Logan cannot be a knight, because this would contradict the claim of their own that Lily is not a knight.", "Logan cannot be a knave, because this would contradict the false claim of Evelyn that Logan is a knight if and only if Evelyn is a knight.", "We have exhausted all possibilities for Logan and Evelyn, so let us go back and reconsider Lily.", "Assume Lily 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 Logan is a knight if and only if Evelyn is a knight.", "Assume Logan 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": "(('not', ('telling-truth', 1)), ('<=>', ('telling-truth', 2), ('telling-truth', 1)), ('not', ('telling-truth', 0)))", "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 3 inhabitants: Amelia, Lucas, and Elizabeth. Amelia was heard saying, \"If Elizabeth is a knave then Lucas is a knight\". Lucas commented, \"Amelia is not a knight\". As Elizabeth put it, \"Amelia is a knave or Elizabeth is a knight\". So who is a knight and who is a knave?", "names": ["Amelia", "Lucas", "Elizabeth"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Amelia is a knight, Lucas is a knave, and Elizabeth is a knight.", "solution_text_format": "(1) Amelia is a knight\n(2) Lucas is a knave\n(3) 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 Amelia is a knight. No contradiction is found in their claim that If Elizabeth is a knave then Lucas is a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Amelia is a knave or Elizabeth is a knight.", "Lucas cannot be a knight, because this would contradict the claim of their own that Amelia is not a knight.", "Assume Lucas 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', 2), ('telling-truth', 1)), ('not', ('telling-truth', 0)), ('or', ('lying', 0), ('telling-truth', 2)))", "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 3 inhabitants: Zoey, Jackson, and Liam. Zoey noted, \"Liam is a knight and Jackson is a knight\". Jackson said, \"Zoey is a knight or Liam is a knight.\" \"Jackson is a knave or Zoey is a knight,\" Liam claimed. So who is a knight and who is a knave?", "names": ["Zoey", "Jackson", "Liam"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Zoey is a knight, Jackson is a knight, and Liam is a knight.", "solution_text_format": "(1) Zoey is a knight\n(2) Jackson is a knight\n(3) 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 Zoey is a knight. No contradiction is found in their claim that Liam is a knight and Jackson is a knight.", "Assume Liam 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 Zoey is a knight or Liam is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 2), ('telling-truth', 1)), ('or', ('telling-truth', 0), ('telling-truth', 2)), ('or', ('lying', 1), ('telling-truth', 0)))", "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 3 inhabitants: Owen, David, and Aria. Owen asserted: \"Aria is not a knave\". David told you that Aria is a knight and Aria is a knave. \"David is not a knave,\" Aria claimed. So who is a knight and who is a knave?", "names": ["Owen", "David", "Aria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false], "solution_text": "Owen is a knave, David is a knave, and Aria is a knave.", "solution_text_format": "(1) Owen is a knave\n(2) David is a knave\n(3) 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 Owen 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 David is not a knave.", "David cannot be a knight, because this would contradict the claim of their own that Aria is a knight and Aria is a knave.", "David cannot be a knave, because this would contradict the claim of Aria that David is not a knave.", "We have exhausted all possibilities for David, so let us go back and reconsider Aria.", "Aria cannot be a knave, because this would contradict the claim of Owen that Aria is not a knave.", "We have exhausted all possibilities for Aria, so let us go back and reconsider Owen.", "Assume Owen 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 Owen that Aria is not a knave.", "Assume Aria 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 Aria is a knight and Aria is a knave.", "Assume David is a knave. No contradiction is found in their false claim that Aria is a knight and Aria is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 2)), ('and', ('telling-truth', 2), ('lying', 2)), ('not', ('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 3 inhabitants: Henry, Owen, and James. \"If James is a knave then Owen is a knave,\" Henry declared. \"Henry is a knave and James is a knave\" - Owen. James said that If Henry is a knight then Owen is a knave. So who is a knight and who is a knave?", "names": ["Henry", "Owen", "James"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Henry is a knight, Owen is a knave, and James is a knight.", "solution_text_format": "(1) Henry is a knight\n(2) Owen is a knave\n(3) 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 Henry 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 If Henry is a knight then Owen is a knave.", "Owen cannot be a knight, because this would contradict the claim of their own that Henry is a knave and James is a knave.", "Assume Owen is a knave. No contradiction is found in their false claim that Henry is a knave and James is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 2), ('lying', 1)), ('and', ('lying', 0), ('lying', 2)), ('->', ('telling-truth', 0), ('lying', 1)))", "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 3 inhabitants: Aurora, Penelope, and Alexander. Aurora was heard saying, \"Aurora is a knight if and only if Alexander is a knight\". Penelope commented, \"Aurora is a knave\". Alexander commented, \"Penelope is not a knight\". So who is a knight and who is a knave?", "names": ["Aurora", "Penelope", "Alexander"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Aurora is a knight, Penelope is a knave, and Alexander is a knight.", "solution_text_format": "(1) Aurora is a knight\n(2) Penelope is a knave\n(3) 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 Aurora is a knight. No contradiction is found in their claim that Aurora is a knight if and only if Alexander 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 their own that Aurora is a knave.", "Assume Penelope is a knave. No contradiction is found in their false claim that Aurora is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 0), ('telling-truth', 2)), ('lying', 0), ('not', ('telling-truth', 1)))", "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 3 inhabitants: Lily, Victoria, and Scarlett. Lily told you that Scarlett is a knave or Victoria is a knight. As Victoria put it, \"If Lily is a knave then Lily is a knight\". Scarlett stated, \"Victoria is a knight and Lily is a knave\". So who is a knight and who is a knave?", "names": ["Lily", "Victoria", "Scarlett"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Lily is a knight, Victoria is a knight, and Scarlett is a knave.", "solution_text_format": "(1) Lily is a knight\n(2) Victoria is a knight\n(3) 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 Scarlett is a knave or Victoria is a knight.", "Scarlett cannot be a knight, because this would contradict the claim of their own that Victoria is a knight and Lily is a knave.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Victoria is a knight and Lily is a knave.", "Assume Victoria 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": "(('or', ('lying', 2), ('telling-truth', 1)), ('->', ('lying', 0), ('telling-truth', 0)), ('and', ('telling-truth', 1), ('lying', 0)))", "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 3 inhabitants: Mason, Riley, and Ella. As Mason put it, \"Riley is a knave if and only if Ella is a knight\". As Riley put it, \"Mason is a knight or Riley is a knight\". Ella asserted: \"Riley is not a knight\". So who is a knight and who is a knave?", "names": ["Mason", "Riley", "Ella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Mason is a knight, Riley is a knight, and Ella is a knave.", "solution_text_format": "(1) Mason is a knight\n(2) Riley is a knight\n(3) 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 Mason is a knight. No contradiction is found in their claim that Riley is a knave if and only if Ella 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.", "Ella cannot be a knight, because this would contradict the claim of Mason that Riley is a knave if and only if Ella is a knight.", "Assume Ella 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": "(('<=>', ('lying', 1), ('telling-truth', 2)), ('or', ('telling-truth', 0), ('telling-truth', 1)), ('not', ('telling-truth', 1)))", "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 3 inhabitants: Elizabeth, Lily, and Joseph. Elizabeth commented, \"If Joseph is a knave then Lily is a knight\". Lily noted, \"If Elizabeth is a knave then Lily is a knight\". Joseph remarked, \"Lily is a knave if and only if Joseph is a knight\". So who is a knight and who is a knave?", "names": ["Elizabeth", "Lily", "Joseph"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false], "solution_text": "Elizabeth is a knave, Lily is a knave, and Joseph is a knave.", "solution_text_format": "(1) Elizabeth is a knave\n(2) Lily is a knave\n(3) 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 Elizabeth is a knight. No contradiction is found in their claim that If Joseph is a knave then Lily is a knight.", "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.", "Lily cannot be a knave, because this would contradict the false claim of their own that If Elizabeth is a knave then 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 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.", "Lily cannot be a knave, because this would contradict the claim of Elizabeth that If Joseph is a knave then Lily is a knight.", "We have exhausted all possibilities for Lily and Joseph, so let us go back and reconsider Elizabeth.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that If Joseph is a knave then Lily is a knight.", "Joseph cannot be a knight, because this would contradict the false claim of Elizabeth that If Joseph is a knave then 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 Joseph is a knight.", "Lily cannot be a knight, because this would contradict the false claim of Elizabeth that If Joseph is a knave then Lily is a knight.", "Assume Lily is a knave. No contradiction is found in their false claim that If Elizabeth is a knave then Lily is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 2), ('telling-truth', 1)), ('->', ('lying', 0), ('telling-truth', 1)), ('<=>', ('lying', 1), ('telling-truth', 2)))", "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 3 inhabitants: Isabella, Logan, and David. Isabella commented, \"Logan is a knave\". In Logan's words: \"Isabella is a knight and Isabella is a knave\". \"If Isabella is a knave then Isabella is a knight,\" David claimed. So who is a knight and who is a knave?", "names": ["Isabella", "Logan", "David"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Isabella is a knight, Logan is a knave, and David is a knight.", "solution_text_format": "(1) Isabella is a knight\n(2) Logan is a knave\n(3) 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 Isabella 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 Isabella that Logan is a knave.", "Assume Logan is a knave. No contradiction is found in their false claim that Isabella is a knight and Isabella is a knave.", "Assume David is a knight. No contradiction is found in their claim that If Isabella is a knave then Isabella is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('and', ('telling-truth', 0), ('lying', 0)), ('->', ('lying', 0), ('telling-truth', 0)))", "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 3 inhabitants: Abigail, Zoey, and Ethan. Abigail stated, \"Ethan is not a knight\". \"Ethan is a knave\" - Zoey. Ethan noted, \"Abigail is a knave or Abigail is a knight\". So who is a knight and who is a knave?", "names": ["Abigail", "Zoey", "Ethan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Abigail is a knave, Zoey is a knave, and Ethan is a knight.", "solution_text_format": "(1) Abigail is a knave\n(2) Zoey is a knave\n(3) 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 Abigail 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 Abigail that Ethan is not a knight.", "Ethan cannot be a knave, because this would contradict the false claim of their own that Abigail is a knave or Abigail is a knight.", "We have exhausted all possibilities for Ethan, so let us go back and reconsider Abigail.", "Assume Abigail 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 Abigail is a knave or Abigail is a knight.", "Zoey cannot be a knight, because this would contradict the claim of their own that Ethan is a knave.", "Assume Zoey 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": "(('not', ('telling-truth', 2)), ('lying', 2), ('or', ('lying', 0), ('telling-truth', 0)))", "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 3 inhabitants: Matthew, Jack, and Aiden. Matthew told you that Jack is a knight. In a statement by Jack: \"If Matthew is a knave then Aiden is a knight\". Aiden said that If Jack is a knight then Matthew is a knight. So who is a knight and who is a knave?", "names": ["Matthew", "Jack", "Aiden"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Matthew is a knight, Jack is a knight, and Aiden is a knight.", "solution_text_format": "(1) Matthew is a knight\n(2) Jack is a knight\n(3) 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 Matthew 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 If Matthew is a knave then Aiden is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that If Jack is a knight then Matthew is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 1), ('->', ('lying', 0), ('telling-truth', 2)), ('->', ('telling-truth', 1), ('telling-truth', 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 3 inhabitants: Chloe, Ava, and David. Chloe said that Ava is a knave and Chloe is a knight. \"Chloe is a knight,\" Ava claimed. David expressed that Chloe is a knave or Ava is a knave. So who is a knight and who is a knave?", "names": ["Chloe", "Ava", "David"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Chloe is a knave, Ava is a knave, and David is a knight.", "solution_text_format": "(1) Chloe is a knave\n(2) Ava is a knave\n(3) 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 Chloe is a knight. No contradiction is found in their claim that Ava is a knave and Chloe is a knight.", "Ava cannot be a knight, because this would contradict the claim of Chloe that Ava is a knave and Chloe is a knight.", "Ava 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 Ava, so let us go back and reconsider Chloe.", "Assume Chloe is a knave. No contradiction is found in their false claim that Ava is a knave and Chloe is a knight.", "Ava cannot be a knight, because this would contradict the claim of their own that Chloe is a knight.", "Assume Ava is a knave. No contradiction is found in their false claim that Chloe is a knight.", "Assume David is a knight. No contradiction is found in their claim that Chloe is a knave or Ava is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('telling-truth', 0)), ('telling-truth', 0), ('or', ('lying', 0), ('lying', 1)))", "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 3 inhabitants: Henry, Abigail, and Sofia. \"If Henry is a knight then Sofia is a knight,\" Henry declared. In a statement by Abigail: \"Sofia is not a knight\". In Sofia's words: \"If Abigail is a knight then Sofia is a knight\". So who is a knight and who is a knave?", "names": ["Henry", "Abigail", "Sofia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Henry is a knight, Abigail is a knave, and Sofia is a knight.", "solution_text_format": "(1) Henry is a knight\n(2) Abigail is a knave\n(3) 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 Henry is a knight. No contradiction is found in their claim that If Henry is a knight then Sofia is a knight.", "Assume Sofia is a knight. No contradiction is found in their claim that If Abigail is a knight then Sofia is a knight.", "Abigail cannot be a knight, because this would contradict the claim of their own that Sofia is not a knight.", "Assume Abigail is a knave. No contradiction is found in their false claim that Sofia is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 0), ('telling-truth', 2)), ('not', ('telling-truth', 2)), ('->', ('telling-truth', 1), ('telling-truth', 2)))", "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 3 inhabitants: Luke, Sofia, and Lucas. Luke noted, \"Lucas is a knight if and only if Sofia is a knight\". Sofia asserted: \"Lucas is not a knave\". In Lucas's words: \"Luke is a knave and Luke is a knight\". So who is a knight and who is a knave?", "names": ["Luke", "Sofia", "Lucas"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false], "solution_text": "Luke is a knight, Sofia is a knave, and Lucas is a knave.", "solution_text_format": "(1) Luke is a knight\n(2) Sofia is a knave\n(3) 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 Luke is a knight. No contradiction is found in their claim that Lucas is a knight if and only if Sofia is a knight.", "Lucas cannot be a knight, because this would contradict the claim of their own that Luke is a knave and Luke is a knight.", "Assume Lucas is a knave. No contradiction is found in their false claim that Luke is a knave and Luke is a knight.", "Sofia cannot be a knight, because this would contradict the claim of Luke that Lucas 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 Lucas is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 2), ('telling-truth', 1)), ('not', ('lying', 2)), ('and', ('lying', 0), ('telling-truth', 0)))", "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 3 inhabitants: Samuel, Avery, and Emily. Samuel said, \"Avery is a knave.\" \"Emily is a knight,\" Avery mentioned. \"If Avery is a knave then Samuel is a knight,\" Emily claimed. So who is a knight and who is a knave?", "names": ["Samuel", "Avery", "Emily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Samuel is a knave, Avery is a knight, and Emily is a knight.", "solution_text_format": "(1) Samuel is a knave\n(2) Avery is a knight\n(3) 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 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 Emily is a knight.", "Emily cannot be a knight, because this would contradict the false claim of Avery that Emily is a knight.", "Emily cannot be a knave, because this would contradict the false claim of their own that If Avery is a knave then Samuel is a knight.", "We have exhausted all possibilities for Emily and Avery, so let us go back and reconsider Samuel.", "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 Emily is a knight.", "Assume Emily is a knight. No contradiction is found in their claim that If Avery is a knave then Samuel is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('telling-truth', 2), ('->', ('lying', 1), ('telling-truth', 0)))", "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 3 inhabitants: Mason, Lucas, and Jackson. Mason was heard saying, \"Lucas is not a knight\". \"If Lucas is a knight then Jackson is a knave,\" Lucas declared. According to Jackson, \"Lucas is not a knight\". So who is a knight and who is a knave?", "names": ["Mason", "Lucas", "Jackson"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Mason is a knave, Lucas is a knight, and Jackson is a knave.", "solution_text_format": "(1) Mason is a knave\n(2) Lucas is a knight\n(3) 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 Mason 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 Mason that Lucas is not a knight.", "Lucas cannot be a knave, because this would contradict the false claim of their own that If Lucas is a knight then Jackson is a knave.", "We have exhausted all possibilities for 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 not a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that If Lucas is a knight then Jackson is a knave.", "Jackson cannot be a knight, because this would contradict the claim of Lucas that If Lucas is a knight then Jackson is a knave.", "Assume Jackson 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": "(('not', ('telling-truth', 1)), ('->', ('telling-truth', 1), ('lying', 2)), ('not', ('telling-truth', 1)))", "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 3 inhabitants: Lily, William, and Alexander. Lily expressed that Lily is a knight if and only if Alexander is a knight. William said, \"If Lily is a knight then Lily is a knave.\" Alexander said that Alexander is a knight and Lily is a knave. So who is a knight and who is a knave?", "names": ["Lily", "William", "Alexander"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Lily is a knave, William is a knight, and Alexander is a knight.", "solution_text_format": "(1) Lily is a knave\n(2) William is a knight\n(3) 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 Lily is a knight. No contradiction is found in their claim that Lily is a knight if and only if Alexander is a knight.", "Alexander cannot be a knight, because this would contradict the claim of their own that Alexander is a knight and Lily is a knave.", "Alexander cannot be a knave, because this would contradict the claim of Lily that Lily is a knight if and only if Alexander is a knight.", "We have exhausted all possibilities for Alexander, 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 Alexander is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that Alexander is a knight and Lily is a knave.", "Assume William is a knight. No contradiction is found in their claim that If Lily is a knight then Lily is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 0), ('telling-truth', 2)), ('->', ('telling-truth', 0), ('lying', 0)), ('and', ('telling-truth', 2), ('lying', 0)))", "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 3 inhabitants: Penelope, Ella, and Ethan. Penelope noted, \"If Penelope is a knight then Ella is a knight\". Ella asserted: \"Ethan is not a knight\". Ethan was heard saying, \"Ethan is a knight\". So who is a knight and who is a knave?", "names": ["Penelope", "Ella", "Ethan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Penelope is a knight, Ella is a knight, and Ethan is a knave.", "solution_text_format": "(1) Penelope is a knight\n(2) Ella is a knight\n(3) 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 Penelope is a knight. No contradiction is found in their claim that If Penelope is a knight then Ella is a knight.", "Assume Ella 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 Ella that Ethan is not a knight.", "Assume Ethan is a knave. No contradiction is found in their false claim that Ethan is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 0), ('telling-truth', 1)), ('not', ('telling-truth', 2)), ('telling-truth', 2))", "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 3 inhabitants: Jackson, Elizabeth, and Sophia. In a statement by Jackson: \"If Sophia is a knight then Elizabeth is a knave\". Elizabeth remarked, \"Sophia is a knave\". Sophia asserted: \"Jackson is not a knight\". So who is a knight and who is a knave?", "names": ["Jackson", "Elizabeth", "Sophia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Jackson is a knight, Elizabeth is a knight, and Sophia is a knave.", "solution_text_format": "(1) Jackson is a knight\n(2) Elizabeth is a knight\n(3) 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 Jackson is a knight. No contradiction is found in their claim that If Sophia is a knight then Elizabeth is a knave.", "Sophia cannot be a knight, because this would contradict the claim of their own that Jackson is not a knight.", "Assume Sophia is a knave. No contradiction is found in their false claim that Jackson is not a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Sophia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 2), ('lying', 1)), ('lying', 2), ('not', ('telling-truth', 0)))", "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 3 inhabitants: Jackson, Logan, and Victoria. Jackson told you that If Logan is a knave then Victoria is a knave. \"Jackson is a knave or Jackson is a knight,\" Logan mentioned. Victoria remarked, \"Jackson is a knight\". So who is a knight and who is a knave?", "names": ["Jackson", "Logan", "Victoria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Jackson is a knight, Logan is a knight, and Victoria is a knight.", "solution_text_format": "(1) Jackson is a knight\n(2) Logan is a knight\n(3) 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 Jackson is a knight. No contradiction is found in their claim that If Logan is a knave then Victoria is a knave.", "Assume Logan is a knight. No contradiction is found in their claim that Jackson is a knave or Jackson is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that Jackson is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 1), ('lying', 2)), ('or', ('lying', 0), ('telling-truth', 0)), ('telling-truth', 0))", "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 3 inhabitants: Oliver, Jack, and Owen. According to Oliver, \"If Owen is a knight then Jack is a knave\". Jack was heard saying, \"Oliver is a knight and Oliver is a knave\". Owen remarked, \"Jack is a knave or Oliver is a knight\". So who is a knight and who is a knave?", "names": ["Oliver", "Jack", "Owen"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Oliver is a knight, Jack is a knave, and Owen is a knight.", "solution_text_format": "(1) Oliver is a knight\n(2) Jack is a knave\n(3) 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 Oliver is a knight. No contradiction is found in their claim that If Owen is a knight then Jack is a knave.", "Assume Owen is a knight. No contradiction is found in their claim that Jack is a knave or Oliver is a knight.", "Jack cannot be a knight, because this would contradict the claim of Oliver that If Owen is a knight then Jack is a knave.", "Assume Jack is a knave. No contradiction is found in their false claim that Oliver is a knight and Oliver is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 2), ('lying', 1)), ('and', ('telling-truth', 0), ('lying', 0)), ('or', ('lying', 1), ('telling-truth', 0)))", "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 3 inhabitants: Avery, Lily, and Riley. Avery said, \"Lily is a knight or Lily is a knave.\" Lily commented, \"Avery is a knave and Riley is a knave\". Riley said that If Lily is a knight then Lily is a knave. So who is a knight and who is a knave?", "names": ["Avery", "Lily", "Riley"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Avery is a knight, Lily is a knave, and Riley is a knight.", "solution_text_format": "(1) Avery is a knight\n(2) Lily is a knave\n(3) 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 Avery is a knight. No contradiction is found in their claim that Lily is a knight or Lily is a knave.", "Lily cannot be a knight, because this would contradict the claim of their own that Avery is a knave and Riley is a knave.", "Assume Lily is a knave. No contradiction is found in their false claim that Avery is a knave and Riley is a knave.", "Assume Riley is a knight. No contradiction is found in their claim that If Lily is a knight then Lily is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 1), ('lying', 1)), ('and', ('lying', 0), ('lying', 2)), ('->', ('telling-truth', 1), ('lying', 1)))", "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 3 inhabitants: Olivia, Daniel, and Penelope. Olivia said that If Daniel is a knave then Daniel is a knight. \"Daniel is a knight or Olivia is a knave,\" Daniel mentioned. In Penelope's words: \"Olivia is not a knight\". So who is a knight and who is a knave?", "names": ["Olivia", "Daniel", "Penelope"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Olivia is a knight, Daniel is a knight, and Penelope is a knave.", "solution_text_format": "(1) Olivia is a knight\n(2) Daniel is a knight\n(3) 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 Olivia is a knight. No contradiction is found in their claim that If Daniel is a knave then Daniel is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that Daniel is a knight or Olivia is a knave.", "Penelope cannot be a knight, because this would contradict the claim of their own that Olivia is not a knight.", "Assume Penelope is a knave. No contradiction is found in their false claim that Olivia is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 1), ('telling-truth', 1)), ('or', ('telling-truth', 1), ('lying', 0)), ('not', ('telling-truth', 0)))", "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 3 inhabitants: Avery, Alexander, and Mia. Avery was heard saying, \"Avery is a knight if and only if Alexander is a knave\". \"Mia is a knave or Avery is a knight,\" Alexander mentioned. \"Alexander is a knight or Mia is a knight\" - Mia. So who is a knight and who is a knave?", "names": ["Avery", "Alexander", "Mia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Avery is a knave, Alexander is a knave, and Mia is a knight.", "solution_text_format": "(1) Avery is a knave\n(2) Alexander is a knave\n(3) 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 Avery is a knight. No contradiction is found in their claim that Avery is a knight if and only if Alexander is a knave.", "Alexander cannot be a knight, because this would contradict the claim of Avery that Avery is a knight if and only if Alexander is a knave.", "Alexander cannot be a knave, because this would contradict the false claim of their own that Mia is a knave or Avery is a knight.", "We have exhausted all possibilities for Alexander, so let us go back and reconsider Avery.", "Assume Avery is a knave. No contradiction is found in their false claim that Avery is a knight if and only if Alexander is a knave.", "Alexander cannot be a knight, because this would contradict the false claim of Avery that Avery 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 Mia is a knave or Avery is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that Alexander is a knight or Mia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 0), ('lying', 1)), ('or', ('lying', 2), ('telling-truth', 0)), ('or', ('telling-truth', 1), ('telling-truth', 2)))", "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 3 inhabitants: Avery, David, and Aurora. In a statement by Avery: \"Aurora is a knight and Avery is a knight\". \"Aurora is a knight or Aurora is a knave,\" David mentioned. \"Aurora is a knight if and only if Avery is a knight\" - Aurora. So who is a knight and who is a knave?", "names": ["Avery", "David", "Aurora"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Avery is a knight, David is a knight, and Aurora is a knight.", "solution_text_format": "(1) Avery is a knight\n(2) David is a knight\n(3) 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 Avery is a knight. No contradiction is found in their claim that Aurora is a knight and Avery is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that Aurora is a knight if and only if Avery is a knight.", "Assume David 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', ('telling-truth', 2), ('telling-truth', 0)), ('or', ('telling-truth', 2), ('lying', 2)), ('<=>', ('telling-truth', 2), ('telling-truth', 0)))", "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 3 inhabitants: Owen, Luke, and Benjamin. \"Benjamin is a knight or Luke is a knave,\" Owen claimed. Luke asserted: \"Owen is a knave\". Benjamin said that Owen is a knave. So who is a knight and who is a knave?", "names": ["Owen", "Luke", "Benjamin"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false], "solution_text": "Owen is a knight, Luke is a knave, and Benjamin is a knave.", "solution_text_format": "(1) Owen is a knight\n(2) Luke is a knave\n(3) 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 Owen is a knight. No contradiction is found in their claim that Benjamin is a knight or Luke is a knave.", "Benjamin cannot be a knight, because this would contradict the claim of their own that Owen is a knave.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Owen is a knave.", "Luke cannot be a knight, because this would contradict the claim of Owen that Benjamin is a knight or Luke is a knave.", "Assume Luke is a knave. No contradiction is found in their false claim that Owen is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 2), ('lying', 1)), ('lying', 0), ('lying', 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 3 inhabitants: Jacob, James, and Michael. \"James is not a knight,\" Jacob declared. \"Michael is a knight and James is a knight\" - James. \"Jacob is a knave if and only if Michael is a knight,\" Michael declared. So who is a knight and who is a knave?", "names": ["Jacob", "James", "Michael"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Jacob is a knave, James is a knight, and Michael is a knight.", "solution_text_format": "(1) Jacob is a knave\n(2) James is a knight\n(3) 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 Jacob 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 Jacob that James is not a knight.", "Assume James is a knave. No contradiction is found in their false claim that Michael is a knight and James 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 Michael is a knight.", "Michael cannot be a knave, because this would contradict the false claim of their own that Jacob is a knave if and only if Michael is a knight.", "We have exhausted all possibilities for Michael 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 not a knight.", "Assume James is a knight. No contradiction is found in their claim that Michael is a knight and James is a knight.", "Assume Michael is a knight. No contradiction is found in their claim that Jacob is a knave if and only if Michael is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('and', ('telling-truth', 2), ('telling-truth', 1)), ('<=>', ('lying', 0), ('telling-truth', 2)))", "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 3 inhabitants: Aiden, Zoey, and Jack. \"Zoey is a knight and Jack is a knave,\" Aiden mentioned. Zoey stated, \"Jack is a knave and Zoey is a knight\". Jack was heard saying, \"If Zoey is a knight then Aiden is a knight\". So who is a knight and who is a knave?", "names": ["Aiden", "Zoey", "Jack"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Aiden is a knave, Zoey is a knave, and Jack is a knight.", "solution_text_format": "(1) Aiden is a knave\n(2) Zoey is a knave\n(3) 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 Aiden is a knight. No contradiction is found in their claim that Zoey is a knight and Jack is a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that Jack is a knave and Zoey is a knight.", "Jack cannot be a knight, because this would contradict the claim of Aiden that Zoey is a knight and Jack is a knave.", "Jack cannot be a knave, because this would contradict the false claim of their own that If Zoey is a knight then Aiden is a knight.", "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 claim of Aiden that Zoey is a knight and Jack is a knave.", "We have exhausted all possibilities for Zoey, so let us go back and reconsider Aiden.", "Assume Aiden is a knave. No contradiction is found in their false claim that Zoey is a knight and Jack is a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that Jack is a knave and Zoey is a knight.", "Jack cannot be a knight, because this would contradict the claim of Zoey that Jack is a knave and Zoey is a knight.", "Jack cannot be a knave, because this would contradict the false claim of Aiden that Zoey is a knight and Jack is a knave.", "We have exhausted all possibilities for Jack, so let us go back and reconsider Zoey.", "Assume Zoey is a knave. No contradiction is found in their false claim that Jack is a knave and Zoey is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that If Zoey is a knight then Aiden is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('lying', 2)), ('and', ('lying', 2), ('telling-truth', 1)), ('->', ('telling-truth', 1), ('telling-truth', 0)))", "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 3 inhabitants: Chloe, Emma, and Grace. In a statement by Chloe: \"Chloe is a knight or Grace is a knight\". According to Emma, \"Grace is a knight and Chloe is a knight\". Grace said, \"Chloe is a knave if and only if Grace is a knight.\" So who is a knight and who is a knave?", "names": ["Chloe", "Emma", "Grace"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false], "solution_text": "Chloe is a knave, Emma is a knave, and Grace is a knave.", "solution_text_format": "(1) Chloe is a knave\n(2) Emma is a knave\n(3) 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 Chloe is a knight. No contradiction is found in their claim that Chloe is a knight or Grace is a knight.", "Grace cannot be a knight, because this would contradict the claim of their own that Chloe is a knave if and only if Grace is a knight.", "Grace cannot be a knave, because this would contradict the false claim of their own that Chloe is a knave if and only if Grace is a knight.", "We have exhausted all possibilities for Grace, so let us go back and reconsider Chloe.", "Assume Chloe is a knave. No contradiction is found in their false claim that Chloe is a knight or Grace is a knight.", "Grace cannot be a knight, because this would contradict the false claim of Chloe that Chloe is a knight or Grace is a knight.", "Assume Grace is a knave. No contradiction is found in their false claim that Chloe is a knave if and only if Grace is a knight.", "Emma cannot be a knight, because this would contradict the claim of their own that Grace is a knight and Chloe is a knight.", "Assume Emma is a knave. No contradiction is found in their false claim that Grace is a knight and Chloe is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 0), ('telling-truth', 2)), ('and', ('telling-truth', 2), ('telling-truth', 0)), ('<=>', ('lying', 0), ('telling-truth', 2)))", "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 3 inhabitants: Riley, Jacob, and Aurora. Riley expressed that Riley is a knight and Aurora is a knave. \"Riley is a knave,\" Jacob claimed. Aurora expressed that Jacob is a knave if and only if Riley is a knight. So who is a knight and who is a knave?", "names": ["Riley", "Jacob", "Aurora"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Riley is a knave, Jacob is a knight, and Aurora is a knight.", "solution_text_format": "(1) Riley is a knave\n(2) Jacob is a knight\n(3) 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 Riley is a knight. No contradiction is found in their claim that Riley is a knight and Aurora is a knave.", "Aurora cannot be a knight, because this would contradict the claim of Riley that Riley is a knight and Aurora is a knave.", "Assume Aurora is a knave. No contradiction is found in their false claim that Jacob is a knave if and only if Riley is a knight.", "Jacob cannot be a knight, because this would contradict the claim of their own that Riley is a knave.", "Jacob cannot be a knave, because this would contradict the false claim of Aurora that Jacob is a knave if and only if Riley is a knight.", "We have exhausted all possibilities for Jacob and Aurora, so let us go back and reconsider Riley.", "Assume Riley 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 Jacob is a knave if and only if Riley is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that Riley is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 0), ('lying', 2)), ('lying', 0), ('<=>', ('lying', 1), ('telling-truth', 0)))", "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 3 inhabitants: Mason, Emma, and Aiden. Mason expressed that Aiden is a knight and Aiden is a knave. Emma asserted: \"Aiden is not a knight\". According to Aiden, \"Emma is a knight or Emma is a knave\". So who is a knight and who is a knave?", "names": ["Mason", "Emma", "Aiden"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Mason is a knave, Emma is a knave, and Aiden is a knight.", "solution_text_format": "(1) Mason is a knave\n(2) Emma is a knave\n(3) 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": ["Mason cannot be a knight, because this would contradict the claim of their own that Aiden is a knight and Aiden is a knave.", "Assume Mason is a knave. No contradiction is found in their false claim that Aiden is a knight and Aiden is a knave.", "Assume Aiden 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 Aiden is not a knight.", "Assume Emma is a knave. No contradiction is found in their false claim that Aiden is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 2), ('lying', 2)), ('not', ('telling-truth', 2)), ('or', ('telling-truth', 1), ('lying', 1)))", "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 3 inhabitants: Samuel, Aurora, and Noah. In Samuel's words: \"If Aurora is a knight then Samuel is a knight\". As Aurora put it, \"Samuel is a knight if and only if Samuel is a knave\". Noah noted, \"Aurora is a knave\". So who is a knight and who is a knave?", "names": ["Samuel", "Aurora", "Noah"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Samuel is a knight, Aurora is a knave, and Noah is a knight.", "solution_text_format": "(1) Samuel is a knight\n(2) Aurora is a knave\n(3) 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 Samuel is a knight. No contradiction is found in their claim that If Aurora is a knight then Samuel is a knight.", "Aurora 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 Aurora 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 Noah is a knight. No contradiction is found in their claim that Aurora is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 1), ('telling-truth', 0)), ('<=>', ('telling-truth', 0), ('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 3 inhabitants: Emma, Aurora, and Jackson. \"Aurora is not a knave\" - Emma. Aurora said that If Jackson is a knight then Aurora is a knight. Jackson told you that Emma is a knight if and only if Aurora is a knave. So who is a knight and who is a knave?", "names": ["Emma", "Aurora", "Jackson"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Emma is a knight, Aurora is a knight, and Jackson is a knave.", "solution_text_format": "(1) Emma is a knight\n(2) Aurora is a knight\n(3) 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 Emma 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 Jackson is a knight then Aurora is a knight.", "Jackson cannot be a knight, because this would contradict the claim of their own that Emma is a knight if and only if Aurora is a knave.", "Assume Jackson is a knave. No contradiction is found in their false claim that Emma is a knight if and only if Aurora is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 1)), ('->', ('telling-truth', 2), ('telling-truth', 1)), ('<=>', ('telling-truth', 0), ('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 3 inhabitants: Harper, Amelia, and Lily. According to Harper, \"Lily is a knave and Lily is a knight\". \"Amelia is a knight and Lily is a knave,\" Amelia claimed. Lily said, \"Harper is a knave and Amelia is a knight.\" So who is a knight and who is a knave?", "names": ["Harper", "Amelia", "Lily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false], "solution_text": "Harper is a knave, Amelia is a knave, and Lily is a knave.", "solution_text_format": "(1) Harper is a knave\n(2) Amelia is a knave\n(3) 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": ["Harper cannot be a knight, because this would contradict the claim of their own that Lily is a knave and Lily is a knight.", "Assume Harper is a knave. No contradiction is found in their false claim that Lily is a knave and Lily is a knight.", "Assume Lily is a knight. No contradiction is found in their claim that Harper is a knave and Amelia is a knight.", "Amelia cannot be a knight, because this would contradict the claim of their own that Amelia is a knight and Lily is a knave.", "Amelia cannot be a knave, because this would contradict the claim of Lily that Harper is a knave and Amelia is a knight.", "We have exhausted all possibilities for Amelia, so let us go back and reconsider Lily.", "Assume Lily is a knave. No contradiction is found in their false claim that Harper is a knave and Amelia is a knight.", "Amelia cannot be a knight, because this would contradict the false claim of Lily that Harper is a knave and Amelia is a knight.", "Assume Amelia is a knave. No contradiction is found in their false claim that Amelia is a knight and Lily is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('telling-truth', 2)), ('and', ('telling-truth', 1), ('lying', 2)), ('and', ('lying', 0), ('telling-truth', 1)))", "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 3 inhabitants: Evelyn, Elizabeth, and Noah. As Evelyn put it, \"Elizabeth is not a knight\". In Elizabeth's words: \"Noah is a knight and Evelyn is a knight\". \"Noah is a knight and Evelyn is a knight,\" Noah claimed. So who is a knight and who is a knave?", "names": ["Evelyn", "Elizabeth", "Noah"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false], "solution_text": "Evelyn is a knight, Elizabeth is a knave, and Noah is a knave.", "solution_text_format": "(1) Evelyn is a knight\n(2) Elizabeth is a knave\n(3) 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 Evelyn 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 Evelyn that Elizabeth is not a knight.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Noah is a knight and Evelyn is a knight.", "Noah cannot be a knight, because this would contradict the false claim of Elizabeth that Noah is a knight and Evelyn is a knight.", "Assume Noah is a knave. No contradiction is found in their false claim that Noah is a knight and Evelyn is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('and', ('telling-truth', 2), ('telling-truth', 0)), ('and', ('telling-truth', 2), ('telling-truth', 0)))", "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 3 inhabitants: Riley, Daniel, and Olivia. Riley said, \"Olivia is a knave or Olivia is a knight.\" Daniel told you that Olivia is a knave or Olivia is a knight. \"Olivia is a knight and Riley is a knave,\" Olivia mentioned. So who is a knight and who is a knave?", "names": ["Riley", "Daniel", "Olivia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Riley is a knight, Daniel is a knight, and Olivia is a knave.", "solution_text_format": "(1) Riley is a knight\n(2) Daniel is a knight\n(3) 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 Riley is a knight. No contradiction is found in their claim that Olivia is a knave or Olivia is a knight.", "Olivia cannot be a knight, because this would contradict the claim of their own that Olivia is a knight and Riley is a knave.", "Assume Olivia is a knave. No contradiction is found in their false claim that Olivia is a knight and Riley is a knave.", "Assume Daniel 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": "(('or', ('lying', 2), ('telling-truth', 2)), ('or', ('lying', 2), ('telling-truth', 2)), ('and', ('telling-truth', 2), ('lying', 0)))", "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 3 inhabitants: Mia, Scarlett, and Henry. Mia told you that Scarlett is a knight. \"If Scarlett is a knight then Mia is a knight\" - Scarlett. Henry stated, \"Scarlett is not a knave\". So who is a knight and who is a knave?", "names": ["Mia", "Scarlett", "Henry"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Mia is a knight, Scarlett is a knight, and Henry is a knight.", "solution_text_format": "(1) Mia is a knight\n(2) Scarlett is a knight\n(3) 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 Mia 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 Scarlett is a knight then Mia is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that Scarlett is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 1), ('->', ('telling-truth', 1), ('telling-truth', 0)), ('not', ('lying', 1)))", "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 3 inhabitants: William, Victoria, and Charlotte. William commented, \"William is a knight and Victoria is a knave\". \"William is not a knave,\" Victoria mentioned. Charlotte told you that William is a knight or Victoria is a knight. So who is a knight and who is a knave?", "names": ["William", "Victoria", "Charlotte"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false], "solution_text": "William is a knave, Victoria is a knave, and Charlotte is a knave.", "solution_text_format": "(1) William is a knave\n(2) Victoria is a knave\n(3) 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 William is a knight. No contradiction is found in their claim that William is a knight and Victoria is a knave.", "Victoria cannot be a knight, because this would contradict the claim of William that William is a knight and Victoria is a knave.", "Victoria 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 Victoria, 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 Victoria is a knave.", "Victoria cannot be a knight, because this would contradict the claim of their own that William is not a knave.", "Assume Victoria is a knave. No contradiction is found in their false claim that William is not a knave.", "Charlotte cannot be a knight, because this would contradict the claim of their own that William is a knight or Victoria is a knight.", "Assume Charlotte is a knave. No contradiction is found in their false claim that William is a knight or Victoria is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 0), ('lying', 1)), ('not', ('lying', 0)), ('or', ('telling-truth', 0), ('telling-truth', 1)))", "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 3 inhabitants: Sophia, Evelyn, and Mia. \"If Mia is a knave then Mia is a knight\" - Sophia. Evelyn noted, \"Mia is a knave\". Mia said that Evelyn is a knight if and only if Sophia is a knight. So who is a knight and who is a knave?", "names": ["Sophia", "Evelyn", "Mia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Sophia is a knave, Evelyn is a knight, and Mia is a knave.", "solution_text_format": "(1) Sophia is a knave\n(2) Evelyn is a knight\n(3) 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 Sophia 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 Evelyn is a knight if and only if Sophia is a knight.", "Evelyn cannot be a knight, because this would contradict the claim of their own that Mia is a knave.", "Evelyn cannot be a knave, because this would contradict the claim of Mia that Evelyn is a knight if and only if Sophia is a knight.", "We have exhausted all possibilities for Evelyn, so let us go back and reconsider Mia.", "Mia cannot be a knave, because this would contradict the claim of Sophia that If Mia is a knave then Mia is a knight.", "We have exhausted all possibilities for Mia, so let us go back and reconsider Sophia.", "Assume Sophia is a knave. No contradiction is found in their false claim that If Mia is a knave then Mia is a knight.", "Mia cannot be a knight, because this would contradict the false claim of Sophia that If Mia is a knave then Mia is a knight.", "Assume Mia 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 Evelyn is a knight. No contradiction is found in their claim that Mia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 2), ('telling-truth', 2)), ('lying', 2), ('<=>', ('telling-truth', 1), ('telling-truth', 0)))", "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 3 inhabitants: Amelia, Riley, and Isabella. Amelia told you that Riley is a knight or Isabella is a knave. Riley commented, \"Isabella is a knight if and only if Isabella is a knave\". As Isabella put it, \"Amelia is a knight or Isabella is a knight\". So who is a knight and who is a knave?", "names": ["Amelia", "Riley", "Isabella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Amelia is a knave, Riley is a knave, and Isabella is a knight.", "solution_text_format": "(1) Amelia is a knave\n(2) Riley is a knave\n(3) 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 Amelia is a knight. No contradiction is found in their claim that Riley is a knight or Isabella is a knave.", "Riley cannot be a knight, because this would contradict the claim of their own that Isabella is a knight if and only if Isabella is a knave.", "Assume Riley is a knave. No contradiction is found in their false claim that Isabella is a knight if and only if Isabella is a knave.", "Isabella cannot be a knight, because this would contradict the claim of Amelia that Riley is a knight or Isabella is a knave.", "Isabella cannot be a knave, because this would contradict the false claim of their own that Amelia is a knight or Isabella is a knight.", "We have exhausted all possibilities for Isabella and 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 a knight or Isabella is a knave.", "Riley cannot be a knight, because this would contradict the false claim of Amelia that Riley is a knight or Isabella is a knave.", "Assume Riley is a knave. No contradiction is found in their false claim that Isabella is a knight if and only if Isabella is a knave.", "Assume Isabella is a knight. No contradiction is found in their claim that Amelia is a knight or Isabella is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 1), ('lying', 2)), ('<=>', ('telling-truth', 2), ('lying', 2)), ('or', ('telling-truth', 0), ('telling-truth', 2)))", "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 3 inhabitants: Harper, Owen, and Benjamin. In Harper's words: \"Benjamin is not a knave\". In a statement by Owen: \"Benjamin is a knave and Owen is a knight\". Benjamin expressed that Owen is a knight and Harper is a knave. So who is a knight and who is a knave?", "names": ["Harper", "Owen", "Benjamin"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false], "solution_text": "Harper is a knave, Owen is a knave, and Benjamin is a knave.", "solution_text_format": "(1) Harper is a knave\n(2) Owen is a knave\n(3) 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 Harper 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 Owen is a knight and Harper is a knave.", "Benjamin cannot be a knave, because this would contradict the claim of Harper that Benjamin is not a knave.", "We have exhausted all possibilities for 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 not a knave.", "Benjamin cannot be a knight, because this would contradict the false claim of Harper that Benjamin is not a knave.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Owen is a knight and Harper is a knave.", "Owen cannot be a knight, because this would contradict the false claim of Benjamin that Owen is a knight and Harper is a knave.", "Assume Owen is a knave. No contradiction is found in their false claim that Benjamin is a knave and Owen is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 2)), ('and', ('lying', 2), ('telling-truth', 1)), ('and', ('telling-truth', 1), ('lying', 0)))", "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 3 inhabitants: Grace, Amelia, and Oliver. Grace commented, \"Amelia is a knave if and only if Amelia is a knight\". Amelia said that If Oliver is a knight then Grace is a knave. In Oliver's words: \"Amelia is a knight and Amelia is a knave\". So who is a knight and who is a knave?", "names": ["Grace", "Amelia", "Oliver"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Grace is a knave, Amelia is a knight, and Oliver is a knave.", "solution_text_format": "(1) Grace is a knave\n(2) Amelia is a knight\n(3) 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": ["Grace 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 Grace 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 If Oliver is a knight then Grace is a knave.", "Oliver cannot be a knight, because this would contradict the claim of their own that Amelia is a knight and Amelia is a knave.", "Assume Oliver is a knave. No contradiction is found in their false claim that Amelia is a knight and Amelia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('telling-truth', 1)), ('->', ('telling-truth', 2), ('lying', 0)), ('and', ('telling-truth', 1), ('lying', 1)))", "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 3 inhabitants: Aiden, Sophia, and Ava. Aiden told you that Sophia is a knight or Ava is a knight. Sophia commented, \"Aiden is a knave if and only if Ava is a knave\". Ava asserted: \"If Sophia is a knave then Sophia is a knight\". So who is a knight and who is a knave?", "names": ["Aiden", "Sophia", "Ava"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Aiden is a knight, Sophia is a knight, and Ava is a knight.", "solution_text_format": "(1) Aiden is a knight\n(2) Sophia is a knight\n(3) 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 Aiden is a knight. No contradiction is found in their claim that Sophia is a knight or Ava is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that Aiden is a knave if and only if Ava is a knave.", "Assume Ava is a knight. No contradiction is found in their claim that If Sophia is a knave then Sophia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 1), ('telling-truth', 2)), ('<=>', ('lying', 0), ('lying', 2)), ('->', ('lying', 1), ('telling-truth', 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 3 inhabitants: Victoria, Sofia, and Scarlett. Victoria said that Sofia is a knave and Scarlett is a knave. \"Victoria is a knave or Scarlett is a knight,\" Sofia declared. \"Sofia is not a knight\" - Scarlett. So who is a knight and who is a knave?", "names": ["Victoria", "Sofia", "Scarlett"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Victoria is a knave, Sofia is a knight, and Scarlett is a knave.", "solution_text_format": "(1) Victoria is a knave\n(2) Sofia is a knight\n(3) 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 Victoria is a knight. No contradiction is found in their claim that Sofia is a knave and Scarlett is a knave.", "Sofia cannot be a knight, because this would contradict the claim of Victoria that Sofia is a knave and Scarlett is a knave.", "Assume Sofia is a knave. No contradiction is found in their false claim that Victoria is a knave or Scarlett is a knight.", "Scarlett cannot be a knight, because this would contradict the claim of Victoria that Sofia is a knave and Scarlett is a knave.", "Scarlett cannot be a knave, because this would contradict the false claim of their own that Sofia is not a knight.", "We have exhausted all possibilities for Scarlett and Sofia, 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 knave and Scarlett is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that Victoria is a knave or Scarlett is a knight.", "Scarlett cannot be a knight, because this would contradict the claim of their own that Sofia is not a knight.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Sofia is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('lying', 2)), ('or', ('lying', 0), ('telling-truth', 2)), ('not', ('telling-truth', 1)))", "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 3 inhabitants: Daniel, Oliver, and Riley. Daniel said, \"Daniel is a knight or Riley is a knave.\" Oliver commented, \"Daniel is not a knave\". Riley asserted: \"Daniel is a knave if and only if Riley is a knight\". So who is a knight and who is a knave?", "names": ["Daniel", "Oliver", "Riley"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Daniel is a knave, Oliver is a knave, and Riley is a knight.", "solution_text_format": "(1) Daniel is a knave\n(2) Oliver is a knave\n(3) 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 Daniel is a knight. No contradiction is found in their claim that Daniel is a knight or Riley is a knave.", "Riley cannot be a knight, because this would contradict the claim of their own that Daniel 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 Daniel 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 Daniel.", "Assume Daniel is a knave. No contradiction is found in their false claim that Daniel is a knight or Riley is a knave.", "Assume Riley is a knight. No contradiction is found in their claim that Daniel is a knave if and only if Riley is a knight.", "Oliver cannot be a knight, because this would contradict the claim of their own that Daniel is not a knave.", "Assume Oliver is a knave. No contradiction is found in their false claim that Daniel is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 0), ('lying', 2)), ('not', ('lying', 0)), ('<=>', ('lying', 0), ('telling-truth', 2)))", "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 3 inhabitants: Noah, Mia, and Mason. Noah told you that Noah is a knight or Mason is a knight. Mia noted, \"Noah is a knight if and only if Mason is a knave\". Mason expressed that Mia is a knight. So who is a knight and who is a knave?", "names": ["Noah", "Mia", "Mason"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false], "solution_text": "Noah is a knave, Mia is a knave, and Mason is a knave.", "solution_text_format": "(1) Noah is a knave\n(2) Mia is a knave\n(3) 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 Noah is a knight or Mason is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that Mia is a knight.", "Mia cannot be a knight, because this would contradict the claim of their own that Noah is a knight if and only if Mason is a knave.", "Mia cannot be a knave, because this would contradict the claim of Mason that Mia is a knight.", "We have exhausted all possibilities for Mia, so let us go back and reconsider Mason.", "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.", "Mia cannot be a knave, because this would contradict the false claim of their own that Noah is a knight if and only if Mason is a knave.", "We have exhausted all possibilities for Mia and Mason, so let us go back and reconsider Noah.", "Assume Noah is a knave. No contradiction is found in their false claim that Noah is a knight or Mason is a knight.", "Mason cannot be a knight, because this would contradict the false claim of Noah that Noah is a knight or 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 claim of their own that Noah is a knight if and only if Mason is a knave.", "Assume Mia is a knave. No contradiction is found in their false claim that Noah is a knight if and only if Mason is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 0), ('telling-truth', 2)), ('<=>', ('telling-truth', 0), ('lying', 2)), ('telling-truth', 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 3 inhabitants: Scarlett, Ava, and Lucas. According to Scarlett, \"Ava is a knave if and only if Ava is a knight\". Ava said that Lucas is a knight or Scarlett is a knight. In Lucas's words: \"Scarlett is not a knight\". So who is a knight and who is a knave?", "names": ["Scarlett", "Ava", "Lucas"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Scarlett is a knave, Ava is a knight, and Lucas is a knight.", "solution_text_format": "(1) Scarlett is a knave\n(2) Ava is a knight\n(3) 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": ["Scarlett 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 Scarlett 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 Lucas is a knight or Scarlett is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that Scarlett is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('telling-truth', 1)), ('or', ('telling-truth', 2), ('telling-truth', 0)), ('not', ('telling-truth', 0)))", "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 3 inhabitants: Jack, Joseph, and Sebastian. \"Joseph is a knave or Sebastian is a knave\" - Jack. \"Joseph is a knight if and only if Sebastian is a knave,\" Joseph mentioned. Sebastian noted, \"If Joseph is a knave then Jack is a knave\". So who is a knight and who is a knave?", "names": ["Jack", "Joseph", "Sebastian"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false], "solution_text": "Jack is a knight, Joseph is a knave, and Sebastian is a knave.", "solution_text_format": "(1) Jack is a knight\n(2) Joseph is a knave\n(3) 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 Joseph is a knave or Sebastian is a knave.", "Assume Joseph is a knight. No contradiction is found in their claim that Joseph is a knight if and only if Sebastian is a knave.", "Sebastian cannot be a knight, because this would contradict the claim of Jack that Joseph is a knave or Sebastian is a knave.", "Sebastian cannot be a knave, because this would contradict the false claim of their own that If Joseph is a knave then Jack 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 Joseph is a knight if and only if Sebastian is a knave.", "Sebastian cannot be a knight, because this would contradict the false claim of Joseph that Joseph 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 If Joseph is a knave then Jack is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('lying', 2)), ('<=>', ('telling-truth', 1), ('lying', 2)), ('->', ('lying', 1), ('lying', 0)))", "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 3 inhabitants: Mason, Avery, and Logan. Mason was heard saying, \"Logan is a knight\". Avery told you that Logan is a knight and Mason is a knave. Logan commented, \"If Avery is a knight then Logan is a knight\". So who is a knight and who is a knave?", "names": ["Mason", "Avery", "Logan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Mason is a knight, Avery is a knave, and Logan is a knight.", "solution_text_format": "(1) Mason is a knight\n(2) Avery is a knave\n(3) 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 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 If Avery is a knight then Logan is a knight.", "Avery cannot be a knight, because this would contradict the claim of their own that Logan is a knight and Mason is a knave.", "Assume Avery is a knave. No contradiction is found in their false claim that Logan is a knight and Mason is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 2), ('and', ('telling-truth', 2), ('lying', 0)), ('->', ('telling-truth', 1), ('telling-truth', 2)))", "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 3 inhabitants: Chloe, Matthew, and James. In a statement by Chloe: \"If Matthew is a knave then Matthew is a knight\". Matthew asserted: \"If Chloe is a knave then James is a knight\". James commented, \"Chloe is a knight if and only if Matthew is a knight\". So who is a knight and who is a knave?", "names": ["Chloe", "Matthew", "James"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Chloe is a knight, Matthew is a knight, and James is a knight.", "solution_text_format": "(1) Chloe is a knight\n(2) Matthew is a knight\n(3) 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 If Matthew is a knave then Matthew is a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that If Chloe is a knave then James is a knight.", "Assume James is a knight. No contradiction is found in their claim that Chloe is a knight if and only if Matthew is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 1), ('telling-truth', 1)), ('->', ('lying', 0), ('telling-truth', 2)), ('<=>', ('telling-truth', 0), ('telling-truth', 1)))", "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 3 inhabitants: Michael, Victoria, and Grace. According to Michael, \"Victoria is a knave or Victoria is a knight\". In Victoria's words: \"Michael is a knave and Victoria is a knight\". Grace said that Michael is a knight if and only if Victoria is a knight. So who is a knight and who is a knave?", "names": ["Michael", "Victoria", "Grace"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false], "solution_text": "Michael is a knight, Victoria is a knave, and Grace is a knave.", "solution_text_format": "(1) Michael is a knight\n(2) Victoria is a knave\n(3) 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 Michael is a knight. No contradiction is found in their claim that Victoria is a knave or Victoria is a knight.", "Victoria cannot be a knight, because this would contradict the claim of their own that Michael is a knave and Victoria is a knight.", "Assume Victoria is a knave. No contradiction is found in their false claim that Michael is a knave and Victoria is a knight.", "Grace cannot be a knight, because this would contradict the claim of their own that Michael is a knight if and only if Victoria is a knight.", "Assume Grace is a knave. No contradiction is found in their false claim that Michael is a knight if and only if Victoria is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('telling-truth', 1)), ('and', ('lying', 0), ('telling-truth', 1)), ('<=>', ('telling-truth', 0), ('telling-truth', 1)))", "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 3 inhabitants: Logan, Amelia, and Sofia. In a statement by Logan: \"Amelia is a knight if and only if Amelia is a knave\". According to Amelia, \"Logan is a knave and Logan is a knight\". Sofia asserted: \"Amelia is a knave or Logan is a knight\". So who is a knight and who is a knave?", "names": ["Logan", "Amelia", "Sofia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Logan is a knave, Amelia is a knave, and Sofia is a knight.", "solution_text_format": "(1) Logan is a knave\n(2) Amelia is a knave\n(3) 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": ["Logan 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 Logan 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 Logan is a knave and Logan is a knight.", "Assume Amelia is a knave. No contradiction is found in their false claim that Logan is a knave and Logan is a knight.", "Assume Sofia is a knight. No contradiction is found in their claim that Amelia is a knave or Logan is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('lying', 1)), ('and', ('lying', 0), ('telling-truth', 0)), ('or', ('lying', 1), ('telling-truth', 0)))", "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 3 inhabitants: Jackson, Ella, and Oliver. \"Oliver is a knight if and only if Oliver is a knave,\" Jackson declared. Ella remarked, \"Jackson is a knight\". As Oliver put it, \"Ella is a knave or Jackson is a knave\". So who is a knight and who is a knave?", "names": ["Jackson", "Ella", "Oliver"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Jackson is a knave, Ella is a knave, and Oliver is a knight.", "solution_text_format": "(1) Jackson is a knave\n(2) Ella is a knave\n(3) 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": ["Jackson cannot be a knight, because this would contradict the claim of their own that Oliver is a knight if and only if Oliver is a knave.", "Assume Jackson is a knave. No contradiction is found in their false claim that Oliver is a knight if and only if Oliver is a knave.", "Assume Oliver is a knight. No contradiction is found in their claim that Ella is a knave or Jackson is a knave.", "Ella cannot be a knight, because this would contradict the claim of their own that Jackson is a knight.", "Assume Ella is a knave. No contradiction is found in their false claim that Jackson is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 2), ('lying', 2)), ('telling-truth', 0), ('or', ('lying', 1), ('lying', 0)))", "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 3 inhabitants: Mia, James, and Avery. Mia said that James is a knight and James is a knave. James was heard saying, \"Avery is a knight\". Avery expressed that If Avery is a knight then Mia is a knave. So who is a knight and who is a knave?", "names": ["Mia", "James", "Avery"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Mia is a knave, James is a knight, and Avery is a knight.", "solution_text_format": "(1) Mia is a knave\n(2) James is a knight\n(3) 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": ["Mia cannot be a knight, because this would contradict the claim of their own that James is a knight and James is a knave.", "Assume Mia 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 Avery is a knight.", "Assume Avery is a knight. No contradiction is found in their claim that If Avery is a knight then Mia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('lying', 1)), ('telling-truth', 2), ('->', ('telling-truth', 2), ('lying', 0)))", "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 3 inhabitants: Michael, James, and Emma. Michael was heard saying, \"James is not a knave\". James said that Emma is a knight if and only if James is a knight. \"Michael is a knight,\" Emma claimed. So who is a knight and who is a knave?", "names": ["Michael", "James", "Emma"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Michael is a knight, James is a knight, and Emma is a knight.", "solution_text_format": "(1) Michael is a knight\n(2) James is a knight\n(3) 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 Michael 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 Michael is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 1)), ('<=>', ('telling-truth', 2), ('telling-truth', 1)), ('telling-truth', 0))", "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 3 inhabitants: Matthew, Lily, and Mason. As Matthew put it, \"Matthew is a knight if and only if Mason is a knave\". In Lily's words: \"Matthew is a knave if and only if Mason is a knight\". Mason said, \"Matthew is not a knight.\" So who is a knight and who is a knave?", "names": ["Matthew", "Lily", "Mason"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Matthew is a knight, Lily is a knight, and Mason is a knave.", "solution_text_format": "(1) Matthew is a knight\n(2) Lily is a knight\n(3) 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 Matthew is a knight. No contradiction is found in their claim that Matthew is a knight if and only if Mason is a knave.", "Mason cannot be a knight, because this would contradict the claim of Matthew that Matthew is a knight if and only if Mason is a knave.", "Assume Mason is a knave. No contradiction is found in their false claim that Matthew is not a knight.", "Assume Lily is a knight. No contradiction is found in their claim that Matthew is a knave if and only if Mason is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 0), ('lying', 2)), ('<=>', ('lying', 0), ('telling-truth', 2)), ('not', ('telling-truth', 0)))", "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 3 inhabitants: Samuel, Amelia, and Zoey. As Samuel put it, \"Amelia is a knight if and only if Zoey is a knave\". \"Amelia is a knight or Samuel is a knave\" - Amelia. \"If Zoey is a knight then Samuel is a knave,\" Zoey claimed. So who is a knight and who is a knave?", "names": ["Samuel", "Amelia", "Zoey"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Samuel is a knave, Amelia is a knight, and Zoey is a knight.", "solution_text_format": "(1) Samuel is a knave\n(2) Amelia is a knight\n(3) 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 Samuel is a knight. No contradiction is found in their claim that Amelia is a knight if and only if Zoey is a knave.", "Assume Amelia is a knight. No contradiction is found in their claim that Amelia is a knight or Samuel is a knave.", "Zoey cannot be a knight, because this would contradict the claim of Samuel that Amelia is a knight if and only if Zoey is a knave.", "Zoey cannot be a knave, because this would contradict the false claim of their own that If Zoey is a knight then Samuel is a knave.", "We have exhausted all possibilities for Zoey, 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 or Samuel is a knave.", "Zoey cannot be a knight, because this would contradict the claim of their own that If Zoey is a knight then Samuel is a knave.", "Zoey cannot be a knave, because this would contradict the claim of Samuel that Amelia is a knight if and only if Zoey is a knave.", "We have exhausted all possibilities for Zoey and Amelia, so let us go back and reconsider Samuel.", "Assume Samuel is a knave. No contradiction is found in their false claim that Amelia is a knight if and only if Zoey is a knave.", "Assume Amelia is a knight. No contradiction is found in their claim that Amelia is a knight or Samuel is a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that If Zoey is a knight then Samuel is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('lying', 2)), ('or', ('telling-truth', 1), ('lying', 0)), ('->', ('telling-truth', 2), ('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 3 inhabitants: Jacob, Scarlett, and Grace. Jacob noted, \"Scarlett is a knight or Grace is a knave\". \"Grace is a knight if and only if Scarlett is a knight,\" Scarlett claimed. As Grace put it, \"Scarlett is not a knight\". So who is a knight and who is a knave?", "names": ["Jacob", "Scarlett", "Grace"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Jacob is a knave, Scarlett is a knave, and Grace is a knight.", "solution_text_format": "(1) Jacob is a knave\n(2) Scarlett is a knave\n(3) 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 Scarlett is a knight or Grace is a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that Grace is a knight if and only if Scarlett is a knight.", "Grace cannot be a knight, because this would contradict the claim of their own that Scarlett is not a knight.", "Grace cannot be a knave, because this would contradict the claim of Scarlett that Grace is a knight if and only if Scarlett is a knight.", "We have exhausted all possibilities for Grace, so let us go back and reconsider Scarlett.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Grace is a knight if and only if Scarlett is a knight.", "Grace cannot be a knight, because this would contradict the claim of Jacob that Scarlett is a knight or Grace is a knave.", "Grace cannot be a knave, because this would contradict the false claim of Scarlett that Grace is a knight if and only if Scarlett is a knight.", "We have exhausted all possibilities for Grace 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 knight or Grace is a knave.", "Scarlett cannot be a knight, because this would contradict the false claim of Jacob that Scarlett is a knight or Grace is a knave.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Grace is a knight if and only if Scarlett is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that Scarlett is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 1), ('lying', 2)), ('<=>', ('telling-truth', 2), ('telling-truth', 1)), ('not', ('telling-truth', 1)))", "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 3 inhabitants: Lucas, Avery, and Aiden. Lucas commented, \"If Aiden is a knight then Aiden is a knave\". Avery expressed that If Aiden is a knave then Aiden is a knight. Aiden noted, \"Lucas is a knight or Avery is a knight\". So who is a knight and who is a knave?", "names": ["Lucas", "Avery", "Aiden"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Lucas is a knave, Avery is a knight, and Aiden is a knight.", "solution_text_format": "(1) Lucas is a knave\n(2) Avery is a knight\n(3) 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 Lucas is a knight. No contradiction is found in their claim that If Aiden is a knight then Aiden is a knave.", "Aiden cannot be a knight, because this would contradict the claim of Lucas that If Aiden is a knight then Aiden is a knave.", "Aiden cannot be a knave, because this would contradict the false claim of their own that Lucas is a knight or Avery is a knight.", "We have exhausted all possibilities for Aiden, so let us go back and reconsider Lucas.", "Assume Lucas is a knave. No contradiction is found in their false claim that If Aiden is a knight then Aiden is a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that Lucas is a knight or Avery is a knight.", "Assume Avery 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', 2), ('lying', 2)), ('->', ('lying', 2), ('telling-truth', 2)), ('or', ('telling-truth', 0), ('telling-truth', 1)))", "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 3 inhabitants: Scarlett, Mason, and Joseph. In Scarlett's words: \"Joseph is a knight\". Mason remarked, \"Scarlett is a knight or Joseph is a knave\". Joseph remarked, \"Mason is a knight\". So who is a knight and who is a knave?", "names": ["Scarlett", "Mason", "Joseph"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Scarlett is a knight, Mason is a knight, and Joseph is a knight.", "solution_text_format": "(1) Scarlett is a knight\n(2) Mason is a knight\n(3) 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 Scarlett 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 Mason is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that Scarlett is a knight or Joseph is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 2), ('or', ('telling-truth', 0), ('lying', 2)), ('telling-truth', 1))", "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 3 inhabitants: Emma, Alexander, and Owen. Emma stated, \"Owen is not a knave\". Alexander commented, \"Owen is not a knave\". As Owen put it, \"Emma is a knave and Alexander is a knight\". So who is a knight and who is a knave?", "names": ["Emma", "Alexander", "Owen"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false], "solution_text": "Emma is a knave, Alexander is a knave, and Owen is a knave.", "solution_text_format": "(1) Emma is a knave\n(2) Alexander is a knave\n(3) 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 Emma is a knight. No contradiction is found in their claim that Owen is not a knave.", "Owen cannot be a knight, because this would contradict the claim of their own that Emma is a knave and Alexander is a knight.", "Owen cannot be a knave, because this would contradict the claim of Emma that Owen is not a knave.", "We have exhausted all possibilities for 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 not a knave.", "Owen cannot be a knight, because this would contradict the false claim of Emma that Owen is not a knave.", "Assume Owen is a knave. No contradiction is found in their false claim that Emma is a knave and Alexander is a knight.", "Alexander cannot be a knight, because this would contradict the claim of their own that Owen is not a knave.", "Assume Alexander 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": "(('not', ('lying', 2)), ('not', ('lying', 2)), ('and', ('lying', 0), ('telling-truth', 1)))", "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 3 inhabitants: Lily, Scarlett, and Victoria. In a statement by Lily: \"Victoria is a knight and Scarlett is a knave\". Scarlett said that Victoria is a knave and Lily is a knight. Victoria said that Scarlett is not a knave. So who is a knight and who is a knave?", "names": ["Lily", "Scarlett", "Victoria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false], "solution_text": "Lily is a knave, Scarlett is a knave, and Victoria is a knave.", "solution_text_format": "(1) Lily is a knave\n(2) Scarlett is a knave\n(3) 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 Lily is a knight. No contradiction is found in their claim that Victoria is a knight and Scarlett is a knave.", "Assume Victoria 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 Lily that Victoria is a knight and Scarlett is a knave.", "Scarlett cannot be a knave, because this would contradict the claim of Victoria that Scarlett is not a knave.", "We have exhausted all possibilities for Scarlett, so let us go back and reconsider Victoria.", "Victoria cannot be a knave, because this would contradict the claim of Lily that Victoria is a knight and Scarlett is a knave.", "We have exhausted all possibilities for Victoria, so let us go back and reconsider Lily.", "Assume Lily is a knave. No contradiction is found in their false claim that Victoria is a knight and Scarlett is a knave.", "Assume Victoria 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 Victoria is a knave and Lily is a knight.", "Scarlett cannot be a knave, because this would contradict the false claim of Lily that Victoria is a knight and Scarlett is a knave.", "We have exhausted all possibilities for Scarlett, so let us go back and reconsider Victoria.", "Assume Victoria 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 Victoria is a knave and Lily is a knight.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Victoria is a knave and Lily is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 2), ('lying', 1)), ('and', ('lying', 2), ('telling-truth', 0)), ('not', ('lying', 1)))", "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 3 inhabitants: Lily, Alexander, and Mia. \"Alexander is a knave or Mia is a knave,\" Lily claimed. Alexander told you that If Mia is a knave then Lily is a knave. \"Alexander is a knight if and only if Lily is a knave,\" Mia declared. So who is a knight and who is a knave?", "names": ["Lily", "Alexander", "Mia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Lily is a knave, Alexander is a knight, and Mia is a knight.", "solution_text_format": "(1) Lily is a knave\n(2) Alexander is a knight\n(3) 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 Lily is a knight. No contradiction is found in their claim that Alexander is a knave or Mia is a knave.", "Assume Alexander is a knight. No contradiction is found in their claim that If Mia is a knave then Lily is a knave.", "Mia cannot be a knight, because this would contradict the claim of Lily that Alexander is a knave or Mia is a knave.", "Mia cannot be a knave, because this would contradict the claim of Alexander that If Mia is a knave then Lily is a knave.", "We have exhausted all possibilities for Mia, so let us go back and reconsider Alexander.", "Assume Alexander is a knave. No contradiction is found in their false claim that If Mia is a knave then Lily is a knave.", "Mia cannot be a knight, because this would contradict the false claim of Alexander that If Mia is a knave then Lily is a knave.", "Mia cannot be a knave, because this would contradict the false claim of their own that Alexander is a knight if and only if Lily is a knave.", "We have exhausted all possibilities for Mia and Alexander, so let us go back and reconsider Lily.", "Assume Lily is a knave. No contradiction is found in their false claim that Alexander is a knave or Mia is a knave.", "Assume Alexander is a knight. No contradiction is found in their claim that If Mia is a knave then Lily is a knave.", "Assume Mia is a knight. No contradiction is found in their claim that Alexander is a knight if and only if Lily is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('lying', 2)), ('->', ('lying', 2), ('lying', 0)), ('<=>', ('telling-truth', 1), ('lying', 0)))", "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 3 inhabitants: Owen, Victoria, and Charlotte. In Owen's words: \"Charlotte is a knight and Victoria is a knight\". Victoria noted, \"Owen is a knight if and only if Owen is a knave\". According to Charlotte, \"Owen is not a knight\". So who is a knight and who is a knave?", "names": ["Owen", "Victoria", "Charlotte"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Owen is a knave, Victoria is a knave, and Charlotte is a knight.", "solution_text_format": "(1) Owen is a knave\n(2) Victoria is a knave\n(3) 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 Owen is a knight. No contradiction is found in their claim that Charlotte is a knight and Victoria is a knight.", "Charlotte cannot be a knight, because this would contradict the claim of their own that Owen is not a knight.", "Charlotte cannot be a knave, because this would contradict the claim of Owen that Charlotte is a knight and Victoria is a knight.", "We have exhausted all possibilities for Charlotte, so let us go back and reconsider Owen.", "Assume Owen is a knave. No contradiction is found in their false claim that Charlotte is a knight and Victoria is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that Owen is not a knight.", "Victoria cannot be a knight, because this would contradict the false claim of Owen that Charlotte is a knight and Victoria is a knight.", "Assume Victoria is a knave. No contradiction is found in their false claim that Owen is a knight if and only if Owen is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 2), ('telling-truth', 1)), ('<=>', ('telling-truth', 0), ('lying', 0)), ('not', ('telling-truth', 0)))", "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 3 inhabitants: Sebastian, Owen, and Grace. Sebastian asserted: \"Grace is a knight if and only if Grace is a knave\". In a statement by Owen: \"Grace is a knight or Owen is a knight\". According to Grace, \"If Owen is a knight then Sebastian is a knave\". So who is a knight and who is a knave?", "names": ["Sebastian", "Owen", "Grace"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Sebastian is a knave, Owen is a knight, and Grace is a knight.", "solution_text_format": "(1) Sebastian is a knave\n(2) Owen is a knight\n(3) 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": ["Sebastian cannot be a knight, because this would contradict the claim of their own that Grace is a knight if and only if Grace is a knave.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Grace is a knight if and only if Grace is a knave.", "Assume Grace is a knight. No contradiction is found in their claim that If Owen is a knight then Sebastian is a knave.", "Assume Owen is a knight. No contradiction is found in their claim that Grace is a knight or Owen is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 2), ('lying', 2)), ('or', ('telling-truth', 2), ('telling-truth', 1)), ('->', ('telling-truth', 1), ('lying', 0)))", "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 3 inhabitants: James, Daniel, and Aria. James remarked, \"Daniel is a knight\". Daniel was heard saying, \"James is a knight and James is a knave\". In Aria's words: \"James is a knave\". So who is a knight and who is a knave?", "names": ["James", "Daniel", "Aria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "James is a knave, Daniel is a knave, and Aria is a knight.", "solution_text_format": "(1) James is a knave\n(2) Daniel is a knave\n(3) 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 Daniel is a knight.", "Daniel cannot be a knight, because this would contradict the claim of their own that James is a knight and James is a knave.", "Daniel cannot be a knave, because this would contradict the claim of James that Daniel is a knight.", "We have exhausted all possibilities for 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 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 James is a knight and James is a knave.", "Assume Aria is a knight. No contradiction is found in their claim that James is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 1), ('and', ('telling-truth', 0), ('lying', 0)), ('lying', 0))", "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 3 inhabitants: Scarlett, Benjamin, and Daniel. Scarlett stated, \"Daniel is a knave and Scarlett is a knight\". Benjamin expressed that Daniel is a knight or Scarlett is a knave. Daniel noted, \"Benjamin is a knave\". So who is a knight and who is a knave?", "names": ["Scarlett", "Benjamin", "Daniel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Scarlett is a knave, Benjamin is a knight, and Daniel is a knave.", "solution_text_format": "(1) Scarlett is a knave\n(2) Benjamin is a knight\n(3) 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 a knave and Scarlett is a knight.", "Daniel cannot be a knight, because this would contradict the claim of Scarlett that Daniel is a knave and Scarlett is a knight.", "Assume Daniel 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 Daniel is a knight or Scarlett is a knave.", "Benjamin cannot be a knave, because this would contradict the false claim of Daniel that Benjamin is a knave.", "We have exhausted all possibilities for Benjamin and Daniel, so let us go back and reconsider Scarlett.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Daniel is a knave and Scarlett is a knight.", "Assume Daniel 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 Daniel that Benjamin is a knave.", "Benjamin cannot be a knave, because this would contradict the false claim of their own that Daniel is a knight or Scarlett is a knave.", "We have exhausted all possibilities for Benjamin, so let us go back and reconsider Daniel.", "Assume Daniel 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 Daniel is a knight or Scarlett is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('telling-truth', 0)), ('or', ('telling-truth', 2), ('lying', 0)), ('lying', 1))", "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 3 inhabitants: Evelyn, Luke, and Owen. According to Evelyn, \"Luke is a knight if and only if Evelyn is a knight\". Luke was heard saying, \"Evelyn is a knight if and only if Owen is a knave\". Owen expressed that Luke is a knave. So who is a knight and who is a knave?", "names": ["Evelyn", "Luke", "Owen"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Evelyn is a knight, Luke is a knight, and Owen is a knave.", "solution_text_format": "(1) Evelyn is a knight\n(2) Luke is a knight\n(3) 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 Evelyn is a knight. No contradiction is found in their claim that Luke is a knight if and only if Evelyn is a knight.", "Assume Luke is a knight. No contradiction is found in their claim that Evelyn is a knight if and only if Owen is a knave.", "Owen cannot be a knight, because this would contradict the claim of Luke that Evelyn 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 Luke is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('telling-truth', 0)), ('<=>', ('telling-truth', 0), ('lying', 2)), ('lying', 1))", "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 3 inhabitants: Jacob, Daniel, and Victoria. \"If Jacob is a knight then Daniel is a knight,\" Jacob mentioned. Daniel noted, \"If Jacob is a knight then Daniel is a knight\". \"Daniel is a knave,\" Victoria claimed. So who is a knight and who is a knave?", "names": ["Jacob", "Daniel", "Victoria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Jacob is a knight, Daniel is a knight, and Victoria is a knave.", "solution_text_format": "(1) Jacob is a knight\n(2) Daniel is a knight\n(3) 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 Jacob is a knight. No contradiction is found in their claim that If Jacob is a knight then Daniel is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that If Jacob is a knight then Daniel is a knight.", "Victoria cannot be a knight, because this would contradict the claim of their own that Daniel is a knave.", "Assume Victoria 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": "(('->', ('telling-truth', 0), ('telling-truth', 1)), ('->', ('telling-truth', 0), ('telling-truth', 1)), ('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 3 inhabitants: Mia, Jack, and Zoey. According to Mia, \"Jack is a knight\". According to Jack, \"Jack is a knight if and only if Mia is a knight\". \"Mia is not a knight,\" Zoey declared. So who is a knight and who is a knave?", "names": ["Mia", "Jack", "Zoey"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Mia is a knight, Jack is a knight, and Zoey is a knave.", "solution_text_format": "(1) Mia is a knight\n(2) Jack is a knight\n(3) 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 Mia 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 Jack is a knight if and only if Mia is a knight.", "Zoey cannot be a knight, because this would contradict the claim of their own that Mia is not a knight.", "Assume Zoey 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), ('<=>', ('telling-truth', 1), ('telling-truth', 0)), ('not', ('telling-truth', 0)))", "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 3 inhabitants: Ava, Abigail, and David. Ava commented, \"David is a knight or Abigail is a knight\". In a statement by Abigail: \"Ava is a knight and Ava is a knave\". David was heard saying, \"Abigail is a knight\". So who is a knight and who is a knave?", "names": ["Ava", "Abigail", "David"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false], "solution_text": "Ava is a knave, Abigail is a knave, and David is a knave.", "solution_text_format": "(1) Ava is a knave\n(2) Abigail is a knave\n(3) 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 Ava is a knight. No contradiction is found in their claim that David is a knight or Abigail is a knight.", "Assume David is a knight. No contradiction is found in their claim that Abigail is a knight.", "Abigail cannot be a knight, because this would contradict the claim of their own that Ava is a knight and Ava is a knave.", "Abigail cannot be a knave, because this would contradict the claim of David that Abigail is a knight.", "We have exhausted all possibilities for Abigail, so let us go back and reconsider David.", "Assume David 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 claim of their own that Ava is a knight and Ava is a knave.", "Abigail cannot be a knave, because this would contradict the claim of Ava that David is a knight or Abigail is a knight.", "We have exhausted all possibilities for Abigail and David, so let us go back and reconsider Ava.", "Assume Ava is a knave. No contradiction is found in their false claim that David is a knight or Abigail is a knight.", "David cannot be a knight, because this would contradict the false claim of Ava that David is a knight or Abigail is a knight.", "Assume David 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 Ava that David is a knight or Abigail is a knight.", "Assume Abigail is a knave. No contradiction is found in their false claim that Ava is a knight and Ava is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 2), ('telling-truth', 1)), ('and', ('telling-truth', 0), ('lying', 0)), ('telling-truth', 1))", "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 3 inhabitants: Elizabeth, Mason, and Amelia. Elizabeth noted, \"Mason is a knave\". According to Mason, \"Amelia is a knave\". \"Elizabeth is a knight or Elizabeth is a knave,\" Amelia claimed. So who is a knight and who is a knave?", "names": ["Elizabeth", "Mason", "Amelia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Elizabeth is a knight, Mason is a knave, and Amelia is a knight.", "solution_text_format": "(1) Elizabeth is a knight\n(2) Mason is a knave\n(3) 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 Mason is a knave.", "Mason cannot be a knight, because this would contradict the claim of Elizabeth that Mason is a knave.", "Assume Mason is a knave. No contradiction is found in their false claim that Amelia is a knave.", "Assume Amelia 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": "(('lying', 1), ('lying', 2), ('or', ('telling-truth', 0), ('lying', 0)))", "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 3 inhabitants: Amelia, Alexander, and Mason. Amelia remarked, \"Mason is a knave and Amelia is a knight\". In Alexander's words: \"Amelia is a knave or Mason is a knight\". \"If Amelia is a knight then Alexander is a knave,\" Mason claimed. So who is a knight and who is a knave?", "names": ["Amelia", "Alexander", "Mason"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Amelia is a knave, Alexander is a knight, and Mason is a knight.", "solution_text_format": "(1) Amelia is a knave\n(2) Alexander is a knight\n(3) 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 Amelia is a knight. No contradiction is found in their claim that Mason is a knave and Amelia is a knight.", "Mason cannot be a knight, because this would contradict the claim of Amelia that Mason is a knave and Amelia is a knight.", "Assume Mason is a knave. No contradiction is found in their false claim that If Amelia is a knight then Alexander is a knave.", "Alexander cannot be a knight, because this would contradict the claim of their own that Amelia is a knave or Mason is a knight.", "Alexander cannot be a knave, because this would contradict the false claim of Mason that If Amelia is a knight then Alexander is a knave.", "We have exhausted all possibilities for Alexander and 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 knave and Amelia is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that If Amelia is a knight then Alexander is a knave.", "Assume Alexander is a knight. No contradiction is found in their claim that Amelia is a knave or Mason is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('telling-truth', 0)), ('or', ('lying', 0), ('telling-truth', 2)), ('->', ('telling-truth', 0), ('lying', 1)))", "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 3 inhabitants: Liam, Chloe, and Daniel. In a statement by Liam: \"Daniel is a knave and Chloe is a knave\". Chloe said, \"Liam is a knave if and only if Daniel is a knight.\" Daniel asserted: \"Chloe is a knight or Liam is a knave\". So who is a knight and who is a knave?", "names": ["Liam", "Chloe", "Daniel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Liam is a knave, Chloe is a knight, and Daniel is a knight.", "solution_text_format": "(1) Liam is a knave\n(2) Chloe is a knight\n(3) 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 Daniel is a knave and Chloe is a knave.", "Daniel cannot be a knight, because this would contradict the claim of Liam that Daniel is a knave and Chloe is a knave.", "Assume Daniel is a knave. No contradiction is found in their false claim that Chloe is a knight or Liam is a knave.", "Chloe cannot be a knight, because this would contradict the claim of Liam that Daniel is a knave and Chloe is a knave.", "Chloe cannot be a knave, because this would contradict the false claim of their own that Liam is a knave if and only if Daniel is a knight.", "We have exhausted all possibilities for Chloe and Daniel, so let us go back and reconsider Liam.", "Assume Liam is a knave. No contradiction is found in their false claim that Daniel is a knave and Chloe is a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that Chloe is a knight or Liam is a knave.", "Assume Chloe is a knight. No contradiction is found in their claim that Liam is a knave if and only if Daniel is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('lying', 1)), ('<=>', ('lying', 0), ('telling-truth', 2)), ('or', ('telling-truth', 1), ('lying', 0)))", "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 3 inhabitants: Owen, Oliver, and Jacob. \"Owen is a knight\" - Owen. Oliver expressed that Jacob is not a knave. In Jacob's words: \"If Oliver is a knight then Owen is a knight\". So who is a knight and who is a knave?", "names": ["Owen", "Oliver", "Jacob"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Owen is a knight, Oliver is a knight, and Jacob is a knight.", "solution_text_format": "(1) Owen is a knight\n(2) Oliver is a knight\n(3) 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 Owen is a knight. No contradiction is found in their claim that Owen is a knight.", "Assume Oliver 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 Oliver is a knight then Owen is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 0), ('not', ('lying', 2)), ('->', ('telling-truth', 1), ('telling-truth', 0)))", "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 3 inhabitants: Charlotte, Victoria, and Grace. As Charlotte put it, \"Victoria is a knave and Victoria is a knight\". Victoria noted, \"Grace is a knight if and only if Charlotte is a knight\". Grace told you that Victoria is a knave or Charlotte is a knave. So who is a knight and who is a knave?", "names": ["Charlotte", "Victoria", "Grace"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Charlotte is a knave, Victoria is a knave, and Grace is a knight.", "solution_text_format": "(1) Charlotte is a knave\n(2) Victoria is a knave\n(3) 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": ["Charlotte cannot be a knight, because this would contradict the claim of their own that Victoria is a knave and Victoria is a knight.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Victoria is a knave and Victoria is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that Grace is a knight if and only if Charlotte is a knight.", "Grace cannot be a knight, because this would contradict the claim of Victoria that Grace is a knight if and only if Charlotte is a knight.", "Grace cannot be a knave, because this would contradict the false claim of their own that Victoria is a knave or Charlotte is a knave.", "We have exhausted all possibilities for Grace, so let us go back and reconsider Victoria.", "Assume Victoria is a knave. No contradiction is found in their false claim that Grace is a knight if and only if Charlotte is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that Victoria is a knave or Charlotte is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('telling-truth', 1)), ('<=>', ('telling-truth', 2), ('telling-truth', 0)), ('or', ('lying', 1), ('lying', 0)))", "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 3 inhabitants: Ava, Isabella, and Daniel. Ava said, \"Isabella is not a knave.\" \"Daniel is not a knight\" - Isabella. \"Ava is a knight or Isabella is a knave,\" Daniel declared. So who is a knight and who is a knave?", "names": ["Ava", "Isabella", "Daniel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Ava is a knave, Isabella is a knave, and Daniel is a knight.", "solution_text_format": "(1) Ava is a knave\n(2) Isabella is a knave\n(3) 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 Ava 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 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 Ava is a knight or Isabella is a knave.", "We have exhausted all possibilities for Daniel, so let us go back and reconsider Isabella.", "Isabella cannot be a knave, because this would contradict the claim of Ava that Isabella is not a knave.", "We have exhausted all possibilities for Isabella, so let us go back and reconsider Ava.", "Assume Ava 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 Ava that Isabella is not a knave.", "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 Ava is a knight or Isabella is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 1)), ('not', ('telling-truth', 2)), ('or', ('telling-truth', 0), ('lying', 1)))", "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 3 inhabitants: Jack, Ava, and James. In Jack's words: \"Ava is a knight and Jack is a knight\". Ava noted, \"James is a knave if and only if Jack is a knight\". James commented, \"Ava is a knave if and only if James is a knight\". So who is a knight and who is a knave?", "names": ["Jack", "Ava", "James"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false], "solution_text": "Jack is a knave, Ava is a knave, and James is a knave.", "solution_text_format": "(1) Jack is a knave\n(2) Ava is a knave\n(3) 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 Jack is a knight. No contradiction is found in their claim that Ava is a knight and Jack is a knight.", "Assume Ava is a knight. No contradiction is found in their claim that James is a knave if and only if Jack is a knight.", "James cannot be a knight, because this would contradict the claim of Ava that James is a knave if and only if Jack is a knight.", "James cannot be a knave, because this would contradict the false claim of their own that Ava 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 Ava.", "Ava cannot be a knave, because this would contradict the claim of Jack that Ava is a knight and Jack is a knight.", "We have exhausted all possibilities for Ava, so let us go back and reconsider Jack.", "Assume Jack is a knave. No contradiction is found in their false claim that Ava is a knight and Jack is a knight.", "Assume Ava is a knight. No contradiction is found in their claim that James is a knave if and only if Jack is a knight.", "James cannot be a knight, because this would contradict the claim of their own that Ava is a knave if and only if James is a knight.", "James cannot be a knave, because this would contradict the claim of Ava that James is a knave if and only if Jack 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 knave if and only if Jack is a knight.", "James cannot be a knight, because this would contradict the false claim of Ava that James is a knave if and only if Jack is a knight.", "Assume James is a knave. No contradiction is found in their false claim that Ava is a knave if and only if James is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('telling-truth', 0)), ('<=>', ('lying', 2), ('telling-truth', 0)), ('<=>', ('lying', 1), ('telling-truth', 2)))", "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 3 inhabitants: Michael, Penelope, and Oliver. Michael commented, \"Penelope is a knave\". As Penelope put it, \"Oliver is a knave and Michael is a knight\". In a statement by Oliver: \"If Michael is a knave then Michael is a knight\". So who is a knight and who is a knave?", "names": ["Michael", "Penelope", "Oliver"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Michael is a knight, Penelope is a knave, and Oliver is a knight.", "solution_text_format": "(1) Michael is a knight\n(2) Penelope is a knave\n(3) 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 Michael 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 Michael that Penelope is a knave.", "Assume Penelope is a knave. No contradiction is found in their false claim that Oliver is a knave and Michael is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that If Michael is a knave then Michael is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('and', ('lying', 2), ('telling-truth', 0)), ('->', ('lying', 0), ('telling-truth', 0)))", "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 3 inhabitants: Liam, Matthew, and Isabella. Liam was heard saying, \"Matthew is a knight and Isabella is a knight\". Matthew told you that Liam is a knave. Isabella remarked, \"If Matthew is a knight then Matthew is a knave\". So who is a knight and who is a knave?", "names": ["Liam", "Matthew", "Isabella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Liam is a knave, Matthew is a knight, and Isabella is a knave.", "solution_text_format": "(1) Liam is a knave\n(2) Matthew is a knight\n(3) 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 Matthew is a knight and Isabella is a knight.", "Matthew cannot be a knight, because this would contradict the claim of their own that Liam is a knave.", "Matthew cannot be a knave, because this would contradict the claim of Liam that Matthew is a knight and Isabella is a knight.", "We have exhausted all possibilities for Matthew, so let us go back and reconsider Liam.", "Assume Liam is a knave. No contradiction is found in their false claim that Matthew is a knight and Isabella is a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that Liam is a knave.", "Isabella cannot be a knight, because this would contradict the false claim of Liam that Matthew is a knight and Isabella is a knight.", "Assume Isabella is a knave. No contradiction is found in their false claim that If Matthew is a knight then Matthew is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('telling-truth', 2)), ('lying', 0), ('->', ('telling-truth', 1), ('lying', 1)))", "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 3 inhabitants: Mason, Ella, and Emma. Mason told you that Emma is a knight or Ella is a knight. Ella was heard saying, \"Mason is a knave\". Emma was heard saying, \"If Mason is a knave then Ella is a knight\". So who is a knight and who is a knave?", "names": ["Mason", "Ella", "Emma"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Mason is a knight, Ella is a knave, and Emma is a knight.", "solution_text_format": "(1) Mason is a knight\n(2) Ella is a knave\n(3) 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 Mason is a knight. No contradiction is found in their claim that Emma is a knight or Ella is a knight.", "Assume Emma is a knight. No contradiction is found in their claim that If Mason is a knave then Ella is a knight.", "Ella cannot be a knight, because this would contradict the claim of their own that Mason is a knave.", "Assume Ella is a knave. No contradiction is found in their false claim that Mason is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 2), ('telling-truth', 1)), ('lying', 0), ('->', ('lying', 0), ('telling-truth', 1)))", "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 3 inhabitants: Evelyn, Logan, and Alexander. \"Logan is a knave,\" Evelyn mentioned. Logan remarked, \"Logan is a knight if and only if Alexander is a knave\". \"Evelyn is a knight,\" Alexander claimed. So who is a knight and who is a knave?", "names": ["Evelyn", "Logan", "Alexander"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Evelyn is a knave, Logan is a knight, and Alexander is a knave.", "solution_text_format": "(1) Evelyn is a knave\n(2) Logan is a knight\n(3) 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 Evelyn 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 Evelyn that Logan is a knave.", "Assume Logan is a knave. No contradiction is found in their false claim that Logan is a knight if and only if Alexander is a knave.", "Alexander cannot be a knight, because this would contradict the false claim of Logan that Logan is a knight if and only if Alexander is a knave.", "Alexander 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 Alexander and 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 a knave.", "Assume Logan is a knight. No contradiction is found in their claim that Logan is a knight if and only if Alexander is a knave.", "Alexander cannot be a knight, because this would contradict the claim of Logan that Logan 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 Evelyn is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('<=>', ('telling-truth', 1), ('lying', 2)), ('telling-truth', 0))", "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 3 inhabitants: Samuel, Amelia, and Benjamin. \"Amelia is a knave and Benjamin is a knave,\" Samuel declared. Amelia said, \"Benjamin is a knave if and only if Benjamin is a knight.\" \"Samuel is a knave or Amelia is a knave,\" Benjamin mentioned. So who is a knight and who is a knave?", "names": ["Samuel", "Amelia", "Benjamin"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Samuel is a knave, Amelia is a knave, and Benjamin is a knight.", "solution_text_format": "(1) Samuel is a knave\n(2) Amelia is a knave\n(3) 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 Samuel is a knight. No contradiction is found in their claim that Amelia is a knave and Benjamin is a knave.", "Amelia cannot be a knight, because this would contradict the claim of Samuel that Amelia is a knave and Benjamin is a knave.", "Assume Amelia is a knave. No contradiction is found in their false claim that Benjamin is a knave if and only if Benjamin is a knight.", "Benjamin cannot be a knight, because this would contradict the claim of Samuel that Amelia is a knave and Benjamin is a knave.", "Benjamin cannot be a knave, because this would contradict the false claim of their own that Samuel is a knave or Amelia is a knave.", "We have exhausted all possibilities for Benjamin and Amelia, so let us go back and reconsider Samuel.", "Assume Samuel is a knave. No contradiction is found in their false claim that Amelia is a knave and Benjamin is a knave.", "Amelia 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 Amelia 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 Samuel is a knave or Amelia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('lying', 2)), ('<=>', ('lying', 2), ('telling-truth', 2)), ('or', ('lying', 0), ('lying', 1)))", "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 3 inhabitants: Alexander, Olivia, and Noah. In a statement by Alexander: \"Alexander is a knight or Noah is a knave\". \"Noah is a knight\" - Olivia. Noah remarked, \"Alexander is a knight and Alexander is a knave\". So who is a knight and who is a knave?", "names": ["Alexander", "Olivia", "Noah"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false], "solution_text": "Alexander is a knight, Olivia is a knave, and Noah is a knave.", "solution_text_format": "(1) Alexander is a knight\n(2) Olivia is a knave\n(3) 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 Alexander is a knight. No contradiction is found in their claim that Alexander is a knight or Noah is a knave.", "Noah cannot be a knight, because this would contradict the claim of their own that Alexander is a knight and Alexander is a knave.", "Assume Noah is a knave. No contradiction is found in their false claim that Alexander is a knight and Alexander is a knave.", "Olivia cannot be a knight, because this would contradict the claim of their own that Noah is a knight.", "Assume Olivia 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": "(('or', ('telling-truth', 0), ('lying', 2)), ('telling-truth', 2), ('and', ('telling-truth', 0), ('lying', 0)))", "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 3 inhabitants: Jackson, Harper, and Alexander. Jackson noted, \"Alexander is a knight or Harper is a knave\". Harper said that Jackson is a knight if and only if Alexander is a knave. As Alexander put it, \"Harper is a knight or Harper is a knave\". So who is a knight and who is a knave?", "names": ["Jackson", "Harper", "Alexander"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Jackson is a knight, Harper is a knave, and Alexander is a knight.", "solution_text_format": "(1) Jackson is a knight\n(2) Harper is a knave\n(3) 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 Jackson is a knight. No contradiction is found in their claim that Alexander is a knight or Harper is a knave.", "Assume Alexander is a knight. No contradiction is found in their claim that Harper is a knight or Harper is a knave.", "Harper cannot be a knight, because this would contradict the claim of their own that Jackson is a knight if and only if Alexander is a knave.", "Assume Harper is a knave. No contradiction is found in their false claim that Jackson is a knight if and only if Alexander is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 2), ('lying', 1)), ('<=>', ('telling-truth', 0), ('lying', 2)), ('or', ('telling-truth', 1), ('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 3 inhabitants: Oliver, Evelyn, and Jacob. \"Jacob is a knight if and only if Jacob is a knave,\" Oliver declared. As Evelyn put it, \"Oliver is a knave\". \"If Jacob is a knight then Oliver is a knave,\" Jacob claimed. So who is a knight and who is a knave?", "names": ["Oliver", "Evelyn", "Jacob"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Oliver is a knave, Evelyn is a knight, and Jacob is a knight.", "solution_text_format": "(1) Oliver is a knave\n(2) Evelyn is a knight\n(3) 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": ["Oliver cannot be a knight, because this would contradict the claim of their own that Jacob is a knight if and only if Jacob is a knave.", "Assume Oliver is a knave. No contradiction is found in their false claim that Jacob 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 Jacob is a knight then Oliver is a knave.", "Assume Evelyn is a knight. No contradiction is found in their claim that Oliver is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 2), ('lying', 2)), ('lying', 0), ('->', ('telling-truth', 2), ('lying', 0)))", "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 3 inhabitants: Ava, Lily, and Mason. As Ava put it, \"If Lily is a knave then Mason is a knight\". \"Lily is a knight and Mason is a knave\" - Lily. \"If Lily is a knave then Lily is a knight\" - Mason. So who is a knight and who is a knave?", "names": ["Ava", "Lily", "Mason"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false], "solution_text": "Ava is a knave, Lily is a knave, and Mason is a knave.", "solution_text_format": "(1) Ava is a knave\n(2) Lily is a knave\n(3) 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 Ava is a knight. No contradiction is found in their claim that If Lily is a knave then Mason is a knight.", "Assume Lily is a knight. No contradiction is found in their claim that Lily is a knight and Mason is a knave.", "Mason cannot be a knight, because this would contradict the claim of Lily that Lily is a knight and Mason is a knave.", "Mason cannot be a knave, because this would contradict the false claim of their own that If Lily is a knave then Lily is a knight.", "We have exhausted all possibilities for Mason, 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 and Mason is a knave.", "Mason cannot be a knight, because this would contradict the claim of their own that If Lily is a knave then Lily is a knight.", "Mason cannot be a knave, because this would contradict the claim of Ava that If Lily is a knave then Mason is a knight.", "We have exhausted all possibilities for Mason and Lily, so let us go back and reconsider Ava.", "Assume Ava is a knave. No contradiction is found in their false claim that If Lily is a knave then Mason is a knight.", "Lily cannot be a knight, because this would contradict the false claim of Ava that If Lily is a knave then Mason is a knight.", "Assume Lily is a knave. No contradiction is found in their false claim that Lily is a knight and Mason is a knave.", "Mason cannot be a knight, because this would contradict the false claim of Ava that If Lily is a knave then Mason is a knight.", "Assume Mason is a knave. No contradiction is found in their false claim that If Lily is a knave then Lily is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 1), ('telling-truth', 2)), ('and', ('telling-truth', 1), ('lying', 2)), ('->', ('lying', 1), ('telling-truth', 1)))", "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 3 inhabitants: Emily, Olivia, and Harper. Emily commented, \"Olivia is a knight or Olivia is a knave\". Olivia remarked, \"Emily is a knight or Harper is a knight\". Harper said that Olivia is a knight and Emily is a knave. So who is a knight and who is a knave?", "names": ["Emily", "Olivia", "Harper"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Emily is a knight, Olivia is a knight, and Harper is a knave.", "solution_text_format": "(1) Emily is a knight\n(2) Olivia is a knight\n(3) 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 Emily 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 Emily is a knight or Harper is a knight.", "Harper cannot be a knight, because this would contradict the claim of their own that Olivia is a knight and Emily is a knave.", "Assume Harper is a knave. No contradiction is found in their false claim that Olivia is a knight and Emily is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 1), ('lying', 1)), ('or', ('telling-truth', 0), ('telling-truth', 2)), ('and', ('telling-truth', 1), ('lying', 0)))", "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 3 inhabitants: Amelia, Isabella, and Lucas. Amelia asserted: \"Lucas is not a knight\". Isabella was heard saying, \"Amelia is a knave if and only if Lucas is a knave\". Lucas said that Amelia is a knight or Isabella is a knave. So who is a knight and who is a knave?", "names": ["Amelia", "Isabella", "Lucas"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Amelia is a knave, Isabella is a knave, and Lucas is a knight.", "solution_text_format": "(1) Amelia is a knave\n(2) Isabella is a knave\n(3) 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 Lucas is not a knight.", "Lucas cannot be a knight, because this would contradict the claim of Amelia that Lucas is not a knight.", "Lucas cannot be a knave, because this would contradict the false claim of their own that Amelia is a knight or Isabella is a knave.", "We have exhausted all possibilities for Lucas, so let us go back and reconsider Amelia.", "Assume Amelia 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 Amelia is a knight or Isabella is a knave.", "Isabella cannot be a knight, because this would contradict the claim of their own that Amelia is a knave if and only if Lucas is a knave.", "Assume Isabella is a knave. No contradiction is found in their false claim that Amelia is a knave if and only if Lucas is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 2)), ('<=>', ('lying', 0), ('lying', 2)), ('or', ('telling-truth', 0), ('lying', 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 3 inhabitants: Emily, Isabella, and Zoey. Emily expressed that Zoey is a knave. Isabella asserted: \"Isabella is a knight or Emily is a knave\". According to Zoey, \"Isabella is a knave if and only if Emily is a knave\". So who is a knight and who is a knave?", "names": ["Emily", "Isabella", "Zoey"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false], "solution_text": "Emily is a knight, Isabella is a knave, and Zoey is a knave.", "solution_text_format": "(1) Emily is a knight\n(2) Isabella is a knave\n(3) 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 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 Isabella is a knave if and only if Emily is a knave.", "Isabella cannot be a knight, because this would contradict the false claim of Zoey that Isabella is a knave if and only if Emily is a knave.", "Assume Isabella is a knave. No contradiction is found in their false claim that Isabella is a knight or Emily is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 2), ('or', ('telling-truth', 1), ('lying', 0)), ('<=>', ('lying', 1), ('lying', 0)))", "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 3 inhabitants: Lily, Victoria, and Matthew. Lily noted, \"Victoria is a knave or Victoria is a knight\". According to Victoria, \"Lily is a knight or Matthew is a knave\". Matthew said, \"Lily is a knave.\" So who is a knight and who is a knave?", "names": ["Lily", "Victoria", "Matthew"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Lily is a knight, Victoria is a knight, and Matthew is a knave.", "solution_text_format": "(1) Lily is a knight\n(2) Victoria is a knight\n(3) 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 Lily 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 Lily is a knight or Matthew is a knave.", "Matthew cannot be a knight, because this would contradict the claim of their own that Lily is a knave.", "Assume Matthew is a knave. No contradiction is found in their false claim that Lily is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('telling-truth', 1)), ('or', ('telling-truth', 0), ('lying', 2)), ('lying', 0))", "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 3 inhabitants: Aurora, Scarlett, and Harper. According to Aurora, \"Harper is a knight or Scarlett is a knave\". Scarlett said, \"Harper is a knave if and only if Aurora is a knave.\" Harper said that Aurora is a knave. So who is a knight and who is a knave?", "names": ["Aurora", "Scarlett", "Harper"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false], "solution_text": "Aurora is a knight, Scarlett is a knave, and Harper is a knave.", "solution_text_format": "(1) Aurora is a knight\n(2) Scarlett is a knave\n(3) 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 Aurora is a knight. No contradiction is found in their claim that Harper is a knight or Scarlett is a knave.", "Harper cannot be a knight, because this would contradict the claim of their own that Aurora is a knave.", "Assume Harper is a knave. No contradiction is found in their false claim that Aurora is a knave.", "Scarlett cannot be a knight, because this would contradict the claim of Aurora that Harper is a knight or Scarlett is a knave.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Harper is a knave if and only if Aurora is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 2), ('lying', 1)), ('<=>', ('lying', 2), ('lying', 0)), ('lying', 0))", "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 3 inhabitants: Ella, Joseph, and William. In a statement by Ella: \"William is a knight\". \"William is a knight and Joseph is a knight,\" Joseph declared. William commented, \"Joseph is a knight if and only if William is a knight\". So who is a knight and who is a knave?", "names": ["Ella", "Joseph", "William"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Ella is a knight, Joseph is a knight, and William is a knight.", "solution_text_format": "(1) Ella is a knight\n(2) Joseph is a knight\n(3) 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 Ella 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 Joseph is a knight if and only if William is a knight.", "Assume Joseph is a knight. No contradiction is found in their claim that William is a knight and Joseph is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 2), ('and', ('telling-truth', 2), ('telling-truth', 1)), ('<=>', ('telling-truth', 1), ('telling-truth', 2)))", "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 3 inhabitants: Ella, David, and Grace. Ella said that Grace is not a knight. David told you that Grace is a knave or David is a knight. According to Grace, \"David is not a knave\". So who is a knight and who is a knave?", "names": ["Ella", "David", "Grace"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Ella is a knave, David is a knight, and Grace is a knight.", "solution_text_format": "(1) Ella is a knave\n(2) David is a knight\n(3) 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 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 David is not a knave.", "David cannot be a knight, because this would contradict the false claim of Grace that David is not a knave.", "David cannot be a knave, because this would contradict the false claim of their own that Grace is a knave or David is a knight.", "We have exhausted all possibilities for David 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 David is not a knave.", "Assume David is a knight. No contradiction is found in their claim that Grace is a knave or David is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 2)), ('or', ('lying', 2), ('telling-truth', 1)), ('not', ('lying', 1)))", "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 3 inhabitants: Avery, Jacob, and Riley. Avery told you that Riley is not a knight. \"Jacob is a knight,\" Jacob mentioned. As Riley put it, \"If Riley is a knight then Jacob is a knight\". So who is a knight and who is a knave?", "names": ["Avery", "Jacob", "Riley"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Avery is a knave, Jacob is a knight, and Riley is a knight.", "solution_text_format": "(1) Avery is a knave\n(2) Jacob is a knight\n(3) 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 Avery 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 Avery that Riley is not a knight.", "Riley cannot be a knave, because this would contradict the false claim of their own that If Riley is a knight then Jacob is a knight.", "We have exhausted all possibilities for Riley, so let us go back and reconsider Avery.", "Assume Avery 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 Riley is a knight then Jacob is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that Jacob is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 2)), ('telling-truth', 1), ('->', ('telling-truth', 2), ('telling-truth', 1)))", "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 3 inhabitants: Chloe, Sofia, and Grace. Chloe commented, \"Sofia is a knight or Grace is a knight\". In Sofia's words: \"If Chloe is a knight then Chloe is a knave\". Grace said that Grace is a knight and Sofia is a knave. So who is a knight and who is a knave?", "names": ["Chloe", "Sofia", "Grace"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Chloe is a knight, Sofia is a knave, and Grace is a knight.", "solution_text_format": "(1) Chloe is a knight\n(2) Sofia is a knave\n(3) 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 Chloe is a knight. No contradiction is found in their claim that Sofia is a knight or Grace is a knight.", "Sofia 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 Sofia is a knave. No contradiction is found in their false claim that If Chloe is a knight then Chloe is a knave.", "Assume Grace is a knight. No contradiction is found in their claim that Grace is a knight and Sofia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 1), ('telling-truth', 2)), ('->', ('telling-truth', 0), ('lying', 0)), ('and', ('telling-truth', 2), ('lying', 1)))", "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 3 inhabitants: Abigail, Oliver, and Matthew. In Abigail's words: \"Oliver is a knave and Abigail is a knight\". \"Oliver is a knight,\" Oliver declared. As Matthew put it, \"If Matthew is a knight then Oliver is a knight\". So who is a knight and who is a knave?", "names": ["Abigail", "Oliver", "Matthew"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Abigail is a knave, Oliver is a knight, and Matthew is a knight.", "solution_text_format": "(1) Abigail is a knave\n(2) Oliver is a knight\n(3) 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 Oliver is a knave and Abigail is a knight.", "Oliver cannot be a knight, because this would contradict the claim of Abigail that Oliver is a knave and Abigail is a knight.", "Assume Oliver is a knave. No contradiction is found in their false claim that Oliver is a knight.", "Matthew cannot be a knight, because this would contradict the claim of their own that If Matthew is a knight then Oliver is a knight.", "Matthew cannot be a knave, because this would contradict the false claim of their own that If Matthew is a knight then Oliver is a knight.", "We have exhausted all possibilities for Matthew and Oliver, so let us go back and reconsider Abigail.", "Assume Abigail is a knave. No contradiction is found in their false claim that Oliver is a knave and Abigail is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that Oliver is a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that If Matthew is a knight then Oliver is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('telling-truth', 0)), ('telling-truth', 1), ('->', ('telling-truth', 2), ('telling-truth', 1)))", "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 3 inhabitants: Emily, Oliver, and Abigail. Emily stated, \"If Abigail is a knave then Oliver is a knave\". \"Emily is not a knight\" - Oliver. Abigail expressed that Oliver is a knight. So who is a knight and who is a knave?", "names": ["Emily", "Oliver", "Abigail"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false], "solution_text": "Emily is a knight, Oliver is a knave, and Abigail is a knave.", "solution_text_format": "(1) Emily is a knight\n(2) Oliver is a knave\n(3) 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 Emily is a knight. No contradiction is found in their claim that If Abigail is a knave then Oliver is a knave.", "Assume Abigail 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 not a knight.", "Oliver cannot be a knave, because this would contradict the claim of Abigail that Oliver is a knight.", "We have exhausted all possibilities for Oliver, so let us go back and reconsider Abigail.", "Assume Abigail 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 claim of Emily that If Abigail is a knave then Oliver is a knave.", "Assume Oliver 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": "(('->', ('lying', 2), ('lying', 1)), ('not', ('telling-truth', 0)), ('telling-truth', 1))", "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 3 inhabitants: Liam, Ella, and Luke. \"Luke is a knave\" - Liam. \"Liam is a knave and Liam is a knight,\" Ella mentioned. \"Liam is a knave and Ella is a knight\" - Luke. So who is a knight and who is a knave?", "names": ["Liam", "Ella", "Luke"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false], "solution_text": "Liam is a knight, Ella is a knave, and Luke is a knave.", "solution_text_format": "(1) Liam is a knight\n(2) Ella is a knave\n(3) 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 Liam 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 Liam that Luke is a knave.", "Assume Luke is a knave. No contradiction is found in their false claim that Liam is a knave and Ella is a knight.", "Ella cannot be a knight, because this would contradict the claim of their own that Liam is a knave and Liam is a knight.", "Assume Ella is a knave. No contradiction is found in their false claim that Liam is a knave and Liam is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 2), ('and', ('lying', 0), ('telling-truth', 0)), ('and', ('lying', 0), ('telling-truth', 1)))", "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 3 inhabitants: Michael, Harper, and Charlotte. Michael expressed that Harper is not a knight. Harper remarked, \"Charlotte is a knight or Charlotte is a knave\". In a statement by Charlotte: \"Michael is a knave\". So who is a knight and who is a knave?", "names": ["Michael", "Harper", "Charlotte"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Michael is a knave, Harper is a knight, and Charlotte is a knight.", "solution_text_format": "(1) Michael is a knave\n(2) Harper is a knight\n(3) 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 Harper is not a knight.", "Harper cannot be a knight, because this would contradict the claim of Michael that Harper is not a knight.", "Harper 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 Harper, so let us go back and reconsider Michael.", "Assume Michael 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 Charlotte is a knight or Charlotte is a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that Michael is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('or', ('telling-truth', 2), ('lying', 2)), ('lying', 0))", "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 3 inhabitants: Harper, Charlotte, and Elizabeth. In a statement by Harper: \"If Harper is a knight then Elizabeth is a knave\". \"Harper is a knave and Elizabeth is a knave\" - Charlotte. In Elizabeth's words: \"Elizabeth is a knight if and only if Harper is a knight\". So who is a knight and who is a knave?", "names": ["Harper", "Charlotte", "Elizabeth"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false], "solution_text": "Harper is a knight, Charlotte is a knave, and Elizabeth is a knave.", "solution_text_format": "(1) Harper is a knight\n(2) Charlotte is a knave\n(3) 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 Harper is a knight. No contradiction is found in their claim that If Harper is a knight then Elizabeth is a knave.", "Elizabeth cannot be a knight, because this would contradict the claim of Harper that If Harper is a knight then Elizabeth is a knave.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Elizabeth is a knight if and only if Harper is a knight.", "Charlotte cannot be a knight, because this would contradict the claim of their own that Harper is a knave and Elizabeth is a knave.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Harper is a knave and Elizabeth is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 0), ('lying', 2)), ('and', ('lying', 0), ('lying', 2)), ('<=>', ('telling-truth', 2), ('telling-truth', 0)))", "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 3 inhabitants: Victoria, Lily, and Lucas. \"If Victoria is a knight then Lucas is a knave,\" Victoria mentioned. \"Lucas is a knight and Lily is a knight\" - Lily. \"Lily is a knight,\" Lucas claimed. So who is a knight and who is a knave?", "names": ["Victoria", "Lily", "Lucas"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false], "solution_text": "Victoria is a knight, Lily is a knave, and Lucas is a knave.", "solution_text_format": "(1) Victoria is a knight\n(2) Lily is a knave\n(3) 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 Victoria is a knight. No contradiction is found in their claim that If Victoria is a knight then Lucas is a knave.", "Lucas cannot be a knight, because this would contradict the claim of Victoria that If Victoria is a knight then Lucas is a knave.", "Assume Lucas 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 claim of their own that Lucas is a knight and Lily is a knight.", "Assume Lily is a knave. No contradiction is found in their false claim that Lucas is a knight and Lily is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 0), ('lying', 2)), ('and', ('telling-truth', 2), ('telling-truth', 1)), ('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 3 inhabitants: Ethan, Ava, and Henry. Ethan remarked, \"Ava is not a knight\". Ava was heard saying, \"Henry is a knight if and only if Henry is a knave\". Henry said that Ethan is a knight or Ava is a knight. So who is a knight and who is a knave?", "names": ["Ethan", "Ava", "Henry"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Ethan is a knight, Ava is a knave, and Henry is a knight.", "solution_text_format": "(1) Ethan is a knight\n(2) Ava is a knave\n(3) 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 Ethan 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 Ethan that Ava is not a knight.", "Assume Ava 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 Ethan is a knight or Ava is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('<=>', ('telling-truth', 2), ('lying', 2)), ('or', ('telling-truth', 0), ('telling-truth', 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 3 inhabitants: Aria, Henry, and Aiden. Aria said that Henry is a knave and Aiden is a knave. Henry asserted: \"Aria is a knight\". Aiden said that If Henry is a knight then Aria is a knight. So who is a knight and who is a knave?", "names": ["Aria", "Henry", "Aiden"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Aria is a knave, Henry is a knave, and Aiden is a knight.", "solution_text_format": "(1) Aria is a knave\n(2) Henry is a knave\n(3) 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 Aria is a knight. No contradiction is found in their claim that Henry is a knave and Aiden is a knave.", "Henry cannot be a knight, because this would contradict the claim of Aria that Henry is a knave and Aiden is a knave.", "Henry cannot be a knave, because this would contradict the false claim of their own that Aria is a knight.", "We have exhausted all possibilities for Henry, so let us go back and reconsider Aria.", "Assume Aria is a knave. No contradiction is found in their false claim that Henry is a knave and Aiden is a knave.", "Henry cannot be a knight, because this would contradict the claim of their own that Aria is a knight.", "Assume Henry is a knave. No contradiction is found in their false claim that Aria is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that If Henry is a knight then Aria is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('lying', 2)), ('telling-truth', 0), ('->', ('telling-truth', 1), ('telling-truth', 0)))", "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 3 inhabitants: Avery, Owen, and Jacob. In Avery's words: \"Avery is a knight or Jacob is a knight\". Owen was heard saying, \"If Jacob is a knave then Avery is a knight\". According to Jacob, \"Avery is a knave if and only if Owen is a knave\". So who is a knight and who is a knave?", "names": ["Avery", "Owen", "Jacob"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Avery is a knight, Owen is a knight, and Jacob is a knight.", "solution_text_format": "(1) Avery is a knight\n(2) Owen is a knight\n(3) 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 Avery is a knight. No contradiction is found in their claim that Avery is a knight or Jacob is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that Avery is a knave if and only if Owen is a knave.", "Assume Owen is a knight. No contradiction is found in their claim that If Jacob is a knave then Avery is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 0), ('telling-truth', 2)), ('->', ('lying', 2), ('telling-truth', 0)), ('<=>', ('lying', 0), ('lying', 1)))", "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 3 inhabitants: Mia, Evelyn, and Isabella. Mia was heard saying, \"Isabella is a knave if and only if Evelyn is a knave\". Evelyn said that Mia is a knight and Isabella is a knave. \"Evelyn is not a knight,\" Isabella declared. So who is a knight and who is a knave?", "names": ["Mia", "Evelyn", "Isabella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Mia is a knave, Evelyn is a knave, and Isabella is a knight.", "solution_text_format": "(1) Mia is a knave\n(2) Evelyn is a knave\n(3) 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 Mia is a knight. No contradiction is found in their claim that Isabella is a knave if and only if Evelyn is a knave.", "Assume Isabella 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 their own that Mia is a knight and Isabella is a knave.", "Evelyn cannot be a knave, because this would contradict the claim of Mia that Isabella is a knave if and only if Evelyn is a knave.", "We have exhausted all possibilities for Evelyn, so let us go back and reconsider Isabella.", "Assume Isabella is a knave. No contradiction is found in their false claim that Evelyn is not a knight.", "Evelyn cannot be a knight, because this would contradict the claim of Mia that Isabella is a knave if and only if Evelyn is a knave.", "Evelyn cannot be a knave, because this would contradict the false claim of their own that Mia is a knight and Isabella is a knave.", "We have exhausted all possibilities for Evelyn and Isabella, so let us go back and reconsider Mia.", "Assume Mia is a knave. No contradiction is found in their false claim that Isabella is a knave if and only if Evelyn is a knave.", "Assume Isabella 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 false claim of Mia that Isabella is a knave if and only if Evelyn is a knave.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Mia is a knight and Isabella is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 2), ('lying', 1)), ('and', ('telling-truth', 0), ('lying', 2)), ('not', ('telling-truth', 1)))", "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 3 inhabitants: Victoria, Liam, and Penelope. As Victoria put it, \"Victoria is a knight and Liam is a knave\". Liam noted, \"Penelope is a knight or Penelope is a knave\". In a statement by Penelope: \"Victoria is a knight if and only if Liam is a knight\". So who is a knight and who is a knave?", "names": ["Victoria", "Liam", "Penelope"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Victoria is a knave, Liam is a knight, and Penelope is a knave.", "solution_text_format": "(1) Victoria is a knave\n(2) Liam is a knight\n(3) 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 Victoria is a knight. No contradiction is found in their claim that Victoria is a knight and Liam is a knave.", "Liam cannot be a knight, because this would contradict the claim of Victoria that Victoria is a knight and Liam is a knave.", "Liam cannot be a knave, because this would contradict the false claim of their own that Penelope is a knight or Penelope is a knave.", "We have exhausted all possibilities for Liam, so let us go back and reconsider Victoria.", "Assume Victoria is a knave. No contradiction is found in their false claim that Victoria is a knight and Liam is a knave.", "Assume Liam is a knight. No contradiction is found in their claim that Penelope is a knight or Penelope is a knave.", "Penelope 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 knight.", "Assume Penelope is a knave. No contradiction is found in their false claim that Victoria is a knight if and only if Liam is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 0), ('lying', 1)), ('or', ('telling-truth', 2), ('lying', 2)), ('<=>', ('telling-truth', 0), ('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 3 inhabitants: Jack, Abigail, and Jacob. In Jack's words: \"Jacob is a knight and Abigail is a knight\". Abigail asserted: \"Jack is a knave or Jack is a knight\". Jacob commented, \"If Jacob is a knight then Abigail is a knight\". So who is a knight and who is a knave?", "names": ["Jack", "Abigail", "Jacob"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Jack is a knight, Abigail is a knight, and Jacob is a knight.", "solution_text_format": "(1) Jack is a knight\n(2) Abigail is a knight\n(3) 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 Jack is a knight. No contradiction is found in their claim that Jacob is a knight and Abigail is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that If Jacob is a knight then Abigail is a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that Jack is a knave or Jack is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 2), ('telling-truth', 1)), ('or', ('lying', 0), ('telling-truth', 0)), ('->', ('telling-truth', 2), ('telling-truth', 1)))", "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 3 inhabitants: Sophia, Owen, and Elizabeth. Sophia said that Owen is not a knight. Owen said, \"Sophia is a knave if and only if Elizabeth is a knight.\" Elizabeth commented, \"If Sophia is a knave then Sophia is a knight\". So who is a knight and who is a knave?", "names": ["Sophia", "Owen", "Elizabeth"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Sophia is a knight, Owen is a knave, and Elizabeth is a knight.", "solution_text_format": "(1) Sophia is a knight\n(2) Owen is a knave\n(3) 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 Sophia 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 Sophia that Owen is not a knight.", "Assume Owen is a knave. No contradiction is found in their false claim that Sophia is a knave if and only if Elizabeth is a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that If Sophia is a knave then Sophia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('<=>', ('lying', 0), ('telling-truth', 2)), ('->', ('lying', 0), ('telling-truth', 0)))", "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 3 inhabitants: Oliver, Jacob, and Aria. Oliver said that Aria is a knave and Jacob is a knight. \"If Oliver is a knight then Jacob is a knight,\" Jacob declared. In Aria's words: \"Jacob is a knave and Oliver is a knave\". So who is a knight and who is a knave?", "names": ["Oliver", "Jacob", "Aria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Oliver is a knight, Jacob is a knight, and Aria is a knave.", "solution_text_format": "(1) Oliver is a knight\n(2) Jacob is a knight\n(3) 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 Oliver is a knight. No contradiction is found in their claim that Aria is a knave and Jacob is a knight.", "Aria cannot be a knight, because this would contradict the claim of Oliver that Aria is a knave and Jacob is a knight.", "Assume Aria is a knave. No contradiction is found in their false claim that Jacob is a knave and Oliver is a knave.", "Assume Jacob is a knight. No contradiction is found in their claim that If Oliver is a knight then Jacob is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('telling-truth', 1)), ('->', ('telling-truth', 0), ('telling-truth', 1)), ('and', ('lying', 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 3 inhabitants: David, Grace, and Scarlett. According to David, \"Grace is a knave if and only if Scarlett is a knave\". Grace expressed that If David is a knave then Scarlett is a knight. Scarlett was heard saying, \"Grace is a knave or Scarlett is a knight\". So who is a knight and who is a knave?", "names": ["David", "Grace", "Scarlett"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "David is a knight, Grace is a knight, and Scarlett is a knight.", "solution_text_format": "(1) David is a knight\n(2) Grace is a knight\n(3) 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 Grace is a knave if and only if Scarlett is a knave.", "Assume Grace is a knight. No contradiction is found in their claim that If David is a knave then Scarlett is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that Grace is a knave or Scarlett is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('lying', 2)), ('->', ('lying', 0), ('telling-truth', 2)), ('or', ('lying', 1), ('telling-truth', 2)))", "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 3 inhabitants: Jackson, Emily, and Logan. Jackson was heard saying, \"Emily is a knave\". \"Jackson is a knave if and only if Jackson is a knight,\" Emily claimed. In Logan's words: \"If Jackson is a knight then Emily is a knight\". So who is a knight and who is a knave?", "names": ["Jackson", "Emily", "Logan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false], "solution_text": "Jackson is a knight, Emily is a knave, and Logan is a knave.", "solution_text_format": "(1) Jackson is a knight\n(2) Emily is a knave\n(3) 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 Jackson 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 Jackson that Emily is a knave.", "Assume Emily is a knave. No contradiction is found in their false claim that Jackson is a knave if and only if Jackson is a knight.", "Logan cannot be a knight, because this would contradict the claim of their own that If Jackson is a knight then Emily is a knight.", "Assume Logan is a knave. No contradiction is found in their false claim that If Jackson is a knight then Emily is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('<=>', ('lying', 0), ('telling-truth', 0)), ('->', ('telling-truth', 0), ('telling-truth', 1)))", "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 3 inhabitants: Benjamin, Alexander, and Ethan. Benjamin said that Ethan is not a knight. Alexander commented, \"Benjamin is a knight\". Ethan noted, \"If Benjamin is a knave then Alexander is a knave\". So who is a knight and who is a knave?", "names": ["Benjamin", "Alexander", "Ethan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Benjamin is a knave, Alexander is a knave, and Ethan is a knight.", "solution_text_format": "(1) Benjamin is a knave\n(2) Alexander is a knave\n(3) 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 Benjamin 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 Benjamin that Ethan is not a knight.", "Ethan cannot be a knave, because this would contradict the false claim of their own that If Benjamin is a knave then Alexander is a knave.", "We have exhausted all possibilities for Ethan, so let us go back and reconsider Benjamin.", "Assume Benjamin 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 If Benjamin is a knave then Alexander is a knave.", "Alexander cannot be a knight, because this would contradict the claim of their own that Benjamin is a knight.", "Assume Alexander 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', 2)), ('telling-truth', 0), ('->', ('lying', 0), ('lying', 1)))", "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 3 inhabitants: Oliver, Mason, and Owen. Oliver expressed that Owen is a knight and Mason is a knight. \"If Owen is a knave then Oliver is a knight,\" Mason claimed. In Owen's words: \"Owen is a knight if and only if Mason is a knight\". So who is a knight and who is a knave?", "names": ["Oliver", "Mason", "Owen"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Oliver is a knight, Mason is a knight, and Owen is a knight.", "solution_text_format": "(1) Oliver is a knight\n(2) Mason is a knight\n(3) 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 Oliver is a knight. No contradiction is found in their claim that Owen is a knight and Mason is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that Owen is a knight if and only if Mason is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that If Owen is a knave then Oliver is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 2), ('telling-truth', 1)), ('->', ('lying', 2), ('telling-truth', 0)), ('<=>', ('telling-truth', 2), ('telling-truth', 1)))", "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 3 inhabitants: James, Mason, and Elizabeth. \"Elizabeth is a knave and Mason is a knight\" - James. Mason was heard saying, \"Elizabeth is a knave\". \"If James is a knave then Elizabeth is a knight\" - Elizabeth. So who is a knight and who is a knave?", "names": ["James", "Mason", "Elizabeth"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "James is a knave, Mason is a knave, and Elizabeth is a knight.", "solution_text_format": "(1) James is a knave\n(2) Mason is a knave\n(3) 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 James is a knight. No contradiction is found in their claim that Elizabeth is a knave and Mason is a knight.", "Elizabeth cannot be a knight, because this would contradict the claim of James that Elizabeth is a knave and Mason is a knight.", "Elizabeth cannot be a knave, because this would contradict the false claim of their own that If James is a knave then 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 knave and Mason is a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that If James is a knave then Elizabeth is a knight.", "Mason cannot be a knight, because this would contradict the claim of their own that Elizabeth is a knave.", "Assume Mason is a knave. No contradiction is found in their false claim that Elizabeth is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('telling-truth', 1)), ('lying', 2), ('->', ('lying', 0), ('telling-truth', 2)))", "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 3 inhabitants: Oliver, Scarlett, and Lily. As Oliver put it, \"Lily is a knight or Lily is a knave\". \"Oliver is a knight and Oliver is a knave,\" Scarlett mentioned. Lily was heard saying, \"Oliver is a knave if and only if Oliver is a knight\". So who is a knight and who is a knave?", "names": ["Oliver", "Scarlett", "Lily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false], "solution_text": "Oliver is a knight, Scarlett is a knave, and Lily is a knave.", "solution_text_format": "(1) Oliver is a knight\n(2) Scarlett is a knave\n(3) 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 Lily is a knight or Lily is a knave.", "Lily cannot be a knight, because this would contradict the claim of their own that Oliver is a knave if and only if Oliver is a knight.", "Assume Lily is a knave. No contradiction is found in their false claim that Oliver is a knave if and only if Oliver is a knight.", "Scarlett cannot be a knight, because this would contradict the claim of their own that Oliver is a knight and Oliver is a knave.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Oliver is a knight and Oliver is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 2), ('lying', 2)), ('and', ('telling-truth', 0), ('lying', 0)), ('<=>', ('lying', 0), ('telling-truth', 0)))", "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 3 inhabitants: Zoey, Lucas, and Ethan. \"Lucas is not a knight,\" Zoey mentioned. As Lucas put it, \"Zoey is a knight and Ethan is a knight\". Ethan stated, \"Lucas is not a knave\". So who is a knight and who is a knave?", "names": ["Zoey", "Lucas", "Ethan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false], "solution_text": "Zoey is a knight, Lucas is a knave, and Ethan is a knave.", "solution_text_format": "(1) Zoey is a knight\n(2) Lucas is a knave\n(3) 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 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 Zoey is a knight and Ethan is a knight.", "Ethan cannot be a knight, because this would contradict the false claim of Lucas that Zoey is a knight and Ethan is a knight.", "Assume Ethan is a knave. No contradiction is found in their false claim that Lucas is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('and', ('telling-truth', 0), ('telling-truth', 2)), ('not', ('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 3 inhabitants: Michael, Scarlett, and Olivia. \"If Scarlett is a knave then Olivia is a knight,\" Michael declared. \"Michael is a knave,\" Scarlett claimed. As Olivia put it, \"Olivia is a knight if and only if Scarlett is a knave\". So who is a knight and who is a knave?", "names": ["Michael", "Scarlett", "Olivia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Michael is a knight, Scarlett is a knave, and Olivia is a knight.", "solution_text_format": "(1) Michael is a knight\n(2) Scarlett is a knave\n(3) 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 Michael is a knight. No contradiction is found in their claim that If Scarlett is a knave then Olivia is a knight.", "Scarlett cannot be a knight, because this would contradict the claim of their own that Michael is a knave.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Michael is a knave.", "Assume Olivia is a knight. No contradiction is found in their 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)), ('lying', 0), ('<=>', ('telling-truth', 2), ('lying', 1)))", "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 3 inhabitants: Sebastian, Owen, and Mason. Sebastian was heard saying, \"If Owen is a knight then Mason is a knight\". \"Owen is a knight and Mason is a knave,\" Owen claimed. Mason was heard saying, \"Sebastian is a knave\". So who is a knight and who is a knave?", "names": ["Sebastian", "Owen", "Mason"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false], "solution_text": "Sebastian is a knight, Owen is a knave, and Mason is a knave.", "solution_text_format": "(1) Sebastian is a knight\n(2) Owen is a knave\n(3) 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 Sebastian is a knight. No contradiction is found in their claim that If Owen is a knight then Mason is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that Owen is a knight and Mason is a knave.", "Mason cannot be a knight, because this would contradict the claim of Owen that Owen is a knight and Mason is a knave.", "Mason cannot be a knave, because this would contradict the claim of Sebastian that If Owen is a knight then Mason is a knight.", "We have exhausted all possibilities for Mason, so let us go back and reconsider Owen.", "Assume Owen is a knave. No contradiction is found in their false claim that Owen 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 a knave.", "Assume Mason 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": "(('->', ('telling-truth', 1), ('telling-truth', 2)), ('and', ('telling-truth', 1), ('lying', 2)), ('lying', 0))", "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 3 inhabitants: Lily, Emma, and Zoey. \"Emma is a knight and Lily is a knight,\" Lily mentioned. In Emma's words: \"Zoey is not a knight\". According to Zoey, \"Lily is a knight\". So who is a knight and who is a knave?", "names": ["Lily", "Emma", "Zoey"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Lily is a knave, Emma is a knight, and Zoey is a knave.", "solution_text_format": "(1) Lily is a knave\n(2) Emma is a knight\n(3) 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 Lily is a knight. No contradiction is found in their claim that Emma is a knight and Lily is a knight.", "Assume Emma 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 Emma that Zoey is not a knight.", "Zoey cannot be a knave, because this would contradict the false claim of their own that Lily is a knight.", "We have exhausted all possibilities for Zoey, so let us go back and reconsider Emma.", "Emma cannot be a knave, because this would contradict the claim of Lily that Emma is a knight and Lily is a knight.", "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 a knight and Lily is a knight.", "Assume Emma 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 Emma that Zoey is not a knight.", "Assume Zoey is a knave. No contradiction is found in their false claim that Lily is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('telling-truth', 0)), ('not', ('telling-truth', 2)), ('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 3 inhabitants: Daniel, Sofia, and Matthew. Daniel commented, \"Matthew is a knave\". Sofia was heard saying, \"Sofia is a knight or Daniel is a knight\". Matthew expressed that Daniel is a knave if and only if Sofia is a knave. So who is a knight and who is a knave?", "names": ["Daniel", "Sofia", "Matthew"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Daniel is a knave, Sofia is a knave, and Matthew is a knight.", "solution_text_format": "(1) Daniel is a knave\n(2) Sofia is a knave\n(3) 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 Daniel 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 Daniel that Matthew is a knave.", "Assume Matthew is a knave. No contradiction is found in their false claim that Daniel is a knave if and only if Sofia is a knave.", "Sofia cannot be a knight, because this would contradict the false claim of Matthew that Daniel is a knave if and only if Sofia is a knave.", "Sofia cannot be a knave, because this would contradict the false claim of their own that Sofia is a knight or Daniel is a knight.", "We have exhausted all possibilities for Sofia and Matthew, so let us go back and reconsider Daniel.", "Assume Daniel 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 Daniel is a knave if and only if Sofia is a knave.", "Sofia cannot be a knight, because this would contradict the claim of Matthew that Daniel is a knave if and only if Sofia is a knave.", "Assume Sofia is a knave. No contradiction is found in their false claim that Sofia is a knight or Daniel is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 2), ('or', ('telling-truth', 1), ('telling-truth', 0)), ('<=>', ('lying', 0), ('lying', 1)))", "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 3 inhabitants: Jack, Sophia, and Samuel. \"If Jack is a knight then Sophia is a knave,\" Jack declared. Sophia commented, \"Samuel is not a knight\". Samuel said that Jack is a knight and Sophia is a knave. So who is a knight and who is a knave?", "names": ["Jack", "Sophia", "Samuel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Jack is a knight, Sophia is a knave, and Samuel is a knight.", "solution_text_format": "(1) Jack is a knight\n(2) Sophia is a knave\n(3) 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 Jack is a knight. No contradiction is found in their claim that If Jack is a knight then Sophia is a knave.", "Sophia cannot be a knight, because this would contradict the claim of Jack that If Jack is a knight then Sophia is a knave.", "Assume Sophia 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 Jack is a knight and Sophia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 0), ('lying', 1)), ('not', ('telling-truth', 2)), ('and', ('telling-truth', 0), ('lying', 1)))", "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 3 inhabitants: Henry, Lucas, and Grace. Henry was heard saying, \"Grace is a knight\". Lucas was heard saying, \"Henry is a knave or Henry is a knight\". Grace remarked, \"If Lucas is a knave then Lucas is a knight\". So who is a knight and who is a knave?", "names": ["Henry", "Lucas", "Grace"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Henry is a knight, Lucas is a knight, and Grace is a knight.", "solution_text_format": "(1) Henry is a knight\n(2) Lucas is a knight\n(3) 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 Henry 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 If Lucas is a knave then Lucas is a knight.", "Assume Lucas 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), ('or', ('lying', 0), ('telling-truth', 0)), ('->', ('lying', 1), ('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 3 inhabitants: Logan, Charlotte, and Noah. Logan expressed that If Noah is a knave then Logan is a knight. Charlotte was heard saying, \"Noah is a knave\". \"Charlotte is a knave if and only if Logan is a knave\" - Noah. So who is a knight and who is a knave?", "names": ["Logan", "Charlotte", "Noah"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Logan is a knave, Charlotte is a knight, and Noah is a knave.", "solution_text_format": "(1) Logan is a knave\n(2) Charlotte is a knight\n(3) 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 Logan is a knight. No contradiction is found in their claim that If Noah is a knave then Logan is a knight.", "Assume Noah is a knight. No contradiction is found in their claim that Charlotte is a knave if and only if Logan is a knave.", "Charlotte cannot be a knight, because this would contradict the claim of their own that Noah is a knave.", "Charlotte cannot be a knave, because this would contradict the claim of Noah that Charlotte is a knave if and only if Logan is a knave.", "We have exhausted all possibilities for Charlotte, so let us go back and reconsider Noah.", "Assume Noah is a knave. No contradiction is found in their false claim that Charlotte is a knave if and only if Logan is a knave.", "Charlotte cannot be a knight, because this would contradict the false claim of Noah that Charlotte is a knave if and only if Logan is a knave.", "Charlotte 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 Charlotte and Noah, so let us go back and reconsider Logan.", "Assume Logan is a knave. No contradiction is found in their false claim that If Noah is a knave then Logan is a knight.", "Noah cannot be a knight, because this would contradict the false claim of Logan that If Noah is a knave then Logan is a knight.", "Assume Noah is a knave. No contradiction is found in their false claim that Charlotte is a knave if and only if Logan is a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that Noah is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 2), ('telling-truth', 0)), ('lying', 2), ('<=>', ('lying', 1), ('lying', 0)))", "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 3 inhabitants: Elizabeth, Harper, and Luke. Elizabeth remarked, \"Elizabeth is a knight or Harper is a knave\". Harper commented, \"Elizabeth is a knave if and only if Harper is a knight\". Luke was heard saying, \"Elizabeth is a knave if and only if Harper is a knight\". So who is a knight and who is a knave?", "names": ["Elizabeth", "Harper", "Luke"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Elizabeth is a knave, Harper is a knight, and Luke is a knight.", "solution_text_format": "(1) Elizabeth is a knave\n(2) Harper is a knight\n(3) 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 Elizabeth is a knight. No contradiction is found in their claim that Elizabeth is a knight or Harper is a knave.", "Harper cannot be a knight, because this would contradict the claim of their own that Elizabeth is a knave if and only if Harper is a knight.", "Harper cannot be a knave, because this would contradict the false claim of their own that Elizabeth is a knave if and only if Harper is a knight.", "We have exhausted all possibilities for Harper, so let us go back and reconsider Elizabeth.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Elizabeth is a knight or Harper is a knave.", "Assume Harper is a knight. No contradiction is found in their claim that Elizabeth is a knave if and only if Harper is a knight.", "Assume Luke is a knight. No contradiction is found in their claim that Elizabeth is a knave if and only if Harper is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 0), ('lying', 1)), ('<=>', ('lying', 0), ('telling-truth', 1)), ('<=>', ('lying', 0), ('telling-truth', 1)))", "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 3 inhabitants: Scarlett, Olivia, and Amelia. \"Olivia is a knave or Olivia is a knight\" - Scarlett. As Olivia put it, \"If Olivia is a knight then Scarlett is a knight\". Amelia remarked, \"Scarlett is a knave and Amelia is a knight\". So who is a knight and who is a knave?", "names": ["Scarlett", "Olivia", "Amelia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Scarlett is a knight, Olivia is a knight, and Amelia is a knave.", "solution_text_format": "(1) Scarlett is a knight\n(2) Olivia is a knight\n(3) 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 Scarlett is a knight. No contradiction is found in their claim that Olivia is a knave or Olivia is a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that If Olivia is a knight then Scarlett is a knight.", "Amelia cannot be a knight, because this would contradict the claim of their own that Scarlett is a knave and Amelia is a knight.", "Assume Amelia is a knave. No contradiction is found in their false claim that Scarlett is a knave and Amelia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('telling-truth', 1)), ('->', ('telling-truth', 1), ('telling-truth', 0)), ('and', ('lying', 0), ('telling-truth', 2)))", "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 3 inhabitants: Oliver, Harper, and Logan. \"Logan is a knave,\" Oliver declared. \"If Logan is a knave then Oliver is a knight,\" Harper mentioned. Logan said that Harper is a knight or Oliver is a knight. So who is a knight and who is a knave?", "names": ["Oliver", "Harper", "Logan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Oliver is a knave, Harper is a knight, and Logan is a knight.", "solution_text_format": "(1) Oliver is a knave\n(2) Harper is a knight\n(3) 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 Oliver 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 Oliver that Logan is a knave.", "Logan cannot be a knave, because this would contradict the false claim of their own that Harper is a knight or Oliver is a knight.", "We have exhausted all possibilities for Logan, so let us go back and reconsider Oliver.", "Assume Oliver 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 Harper is a knight or Oliver is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that If Logan is a knave then Oliver is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 2), ('->', ('lying', 2), ('telling-truth', 0)), ('or', ('telling-truth', 1), ('telling-truth', 0)))", "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 3 inhabitants: Isabella, Charlotte, and Luke. Isabella remarked, \"Charlotte is a knave\". Charlotte commented, \"Luke is a knight or Charlotte is a knight\". \"Charlotte is not a knight,\" Luke declared. So who is a knight and who is a knave?", "names": ["Isabella", "Charlotte", "Luke"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Isabella is a knave, Charlotte is a knight, and Luke is a knave.", "solution_text_format": "(1) Isabella is a knave\n(2) Charlotte is a knight\n(3) 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 Isabella 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 Isabella that Charlotte is a knave.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Luke is a knight or Charlotte is a knight.", "Luke cannot be a knight, because this would contradict the false claim of Charlotte that Luke is a knight or Charlotte is a knight.", "Luke cannot be a knave, because this would contradict the false claim of their own that Charlotte is not a knight.", "We have exhausted all possibilities for Luke 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 a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that Luke is a knight or Charlotte is a knight.", "Luke cannot be a knight, because this would contradict the claim of their own that Charlotte is not a knight.", "Assume Luke is a knave. No contradiction is found in their false claim that Charlotte is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('or', ('telling-truth', 2), ('telling-truth', 1)), ('not', ('telling-truth', 1)))", "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 3 inhabitants: Oliver, Sebastian, and Logan. Oliver remarked, \"Logan is a knight\". Sebastian said that Oliver is a knave or Sebastian is a knight. Logan was heard saying, \"Oliver is a knave and Logan is a knight\". So who is a knight and who is a knave?", "names": ["Oliver", "Sebastian", "Logan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Oliver is a knave, Sebastian is a knight, and Logan is a knave.", "solution_text_format": "(1) Oliver is a knave\n(2) Sebastian is a knight\n(3) 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 Oliver 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 Oliver is a knave and Logan is a knight.", "Logan cannot be a knave, because this would contradict the claim of Oliver that Logan is a knight.", "We have exhausted all possibilities for Logan, so let us go back and reconsider Oliver.", "Assume Oliver 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 Oliver that Logan is a knight.", "Assume Logan is a knave. No contradiction is found in their false claim that Oliver is a knave and Logan is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Oliver is a knave or Sebastian is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 2), ('or', ('lying', 0), ('telling-truth', 1)), ('and', ('lying', 0), ('telling-truth', 2)))", "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 3 inhabitants: Lucas, Aiden, and Sophia. In a statement by Lucas: \"Sophia is a knight if and only if Aiden is a knave\". In Aiden's words: \"Lucas is not a knave\". Sophia noted, \"Lucas is a knight\". So who is a knight and who is a knave?", "names": ["Lucas", "Aiden", "Sophia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false], "solution_text": "Lucas is a knave, Aiden is a knave, and Sophia is a knave.", "solution_text_format": "(1) Lucas is a knave\n(2) Aiden is a knave\n(3) 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 Lucas is a knight. No contradiction is found in their claim that Sophia is a knight if and only if Aiden is a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that Lucas is a knight.", "Aiden cannot be a knight, because this would contradict the claim of Lucas that Sophia is a knight if and only if Aiden is a knave.", "Aiden 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 Aiden, so let us go back and reconsider Sophia.", "Sophia 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 Sophia, so let us go back and reconsider Lucas.", "Assume Lucas is a knave. No contradiction is found in their false claim that Sophia is a knight if and only if Aiden is a knave.", "Sophia cannot be a knight, because this would contradict the claim of their own that Lucas is a knight.", "Assume Sophia is a knave. No contradiction is found in their false claim that Lucas is a knight.", "Aiden cannot be a knight, because this would contradict the false claim of Lucas that Sophia 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 Lucas is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 2), ('lying', 1)), ('not', ('lying', 0)), ('telling-truth', 0))", "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 3 inhabitants: Luke, Aiden, and Zoey. According to Luke, \"If Aiden is a knave then Aiden is a knight\". As Aiden put it, \"Aiden is a knight if and only if Luke is a knave\". Zoey stated, \"Luke is not a knight\". So who is a knight and who is a knave?", "names": ["Luke", "Aiden", "Zoey"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Luke is a knave, Aiden is a knave, and Zoey is a knight.", "solution_text_format": "(1) Luke is a knave\n(2) Aiden is a knave\n(3) 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 Luke is a knight. No contradiction is found in their claim that If Aiden is a knave then Aiden is a knight.", "Aiden cannot be a knight, because this would contradict the claim of their own that Aiden is a knight if and only if Luke is a knave.", "Aiden cannot be a knave, because this would contradict the claim of Luke that If Aiden is a knave then Aiden is a knight.", "We have exhausted all possibilities for Aiden, so let us go back and reconsider Luke.", "Assume Luke is a knave. No contradiction is found in their false claim that If Aiden is a knave then Aiden is a knight.", "Aiden cannot be a knight, because this would contradict the false claim of Luke that If Aiden 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 if and only if Luke is a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that Luke is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 1), ('telling-truth', 1)), ('<=>', ('telling-truth', 1), ('lying', 0)), ('not', ('telling-truth', 0)))", "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 3 inhabitants: William, Jack, and Elizabeth. \"Elizabeth is a knight if and only if Elizabeth is a knave,\" William claimed. Jack asserted: \"Elizabeth is a knave if and only if Elizabeth is a knight\". \"Elizabeth is a knight and Jack is a knight,\" Elizabeth claimed. So who is a knight and who is a knave?", "names": ["William", "Jack", "Elizabeth"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false], "solution_text": "William is a knave, Jack is a knave, and Elizabeth is a knave.", "solution_text_format": "(1) William is a knave\n(2) Jack is a knave\n(3) 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": ["William cannot be a knight, because this would contradict the claim of their own that Elizabeth is a knight if and only if Elizabeth is a knave.", "Assume William is a knave. No contradiction is found in their false claim that Elizabeth is a knight if and only if Elizabeth is a knave.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Elizabeth is a knight and Jack is a knight.", "Jack 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.", "Jack cannot be a knave, because this would contradict the claim of Elizabeth that Elizabeth is a knight and Jack is a knight.", "We have exhausted all possibilities for Jack, so let us go back and reconsider Elizabeth.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Elizabeth is a knight and Jack is a knight.", "Jack 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 Jack is a knave. No contradiction is found in their false claim that Elizabeth is a knave if and only if Elizabeth is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 2), ('lying', 2)), ('<=>', ('lying', 2), ('telling-truth', 2)), ('and', ('telling-truth', 2), ('telling-truth', 1)))", "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 3 inhabitants: Emma, Sofia, and Avery. In a statement by Emma: \"Avery is a knight or Sofia is a knight\". Sofia said, \"Avery is a knave.\" Avery was heard saying, \"Emma is a knight\". So who is a knight and who is a knave?", "names": ["Emma", "Sofia", "Avery"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Emma is a knight, Sofia is a knave, and Avery is a knight.", "solution_text_format": "(1) Emma is a knight\n(2) Sofia is a knave\n(3) 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 Emma 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 Emma is a knight.", "Sofia cannot be a knight, because this would contradict the claim of their own that Avery is a knave.", "Assume Sofia is a knave. No contradiction is found in their false claim that Avery is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 2), ('telling-truth', 1)), ('lying', 2), ('telling-truth', 0))", "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 3 inhabitants: Olivia, David, and Ethan. \"David is a knight if and only if David is a knave,\" Olivia mentioned. \"If David is a knight then Ethan is a knave,\" David declared. As Ethan put it, \"Olivia is a knight if and only if David is a knight\". So who is a knight and who is a knave?", "names": ["Olivia", "David", "Ethan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Olivia is a knave, David is a knight, and Ethan is a knave.", "solution_text_format": "(1) Olivia is a knave\n(2) David is a knight\n(3) 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": ["Olivia cannot be a knight, because this would contradict the claim of their own that David is a knight if and only if David is a knave.", "Assume Olivia is a knave. No contradiction is found in their false claim that David is a knight if and only if David is a knave.", "Assume David is a knight. No contradiction is found in their claim that If David is a knight then Ethan is a knave.", "Ethan cannot be a knight, because this would contradict the claim of David that If David is a knight then Ethan is a knave.", "Assume Ethan is a knave. No contradiction is found in their false claim that Olivia is a knight if and only if David is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('lying', 1)), ('->', ('telling-truth', 1), ('lying', 2)), ('<=>', ('telling-truth', 0), ('telling-truth', 1)))", "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 3 inhabitants: Sofia, Henry, and Jackson. Sofia expressed that Jackson is a knave and Jackson is a knight. Henry remarked, \"Sofia is a knave if and only if Sofia is a knight\". \"Sofia is a knight or Sofia is a knave,\" Jackson declared. So who is a knight and who is a knave?", "names": ["Sofia", "Henry", "Jackson"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Sofia is a knave, Henry is a knave, and Jackson is a knight.", "solution_text_format": "(1) Sofia is a knave\n(2) Henry is a knave\n(3) 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": ["Sofia cannot be a knight, because this would contradict the claim of their own that Jackson is a knave and Jackson is a knight.", "Assume Sofia is a knave. No contradiction is found in their false claim that Jackson is a knave and Jackson is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that Sofia is a knight or Sofia is a knave.", "Henry cannot be a knight, because this would contradict the claim of their own that Sofia is a knave if and only if Sofia is a knight.", "Assume Henry is a knave. No contradiction is found in their false claim that Sofia is a knave if and only if Sofia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('telling-truth', 2)), ('<=>', ('lying', 0), ('telling-truth', 0)), ('or', ('telling-truth', 0), ('lying', 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 3 inhabitants: Olivia, Emily, and Emma. \"If Emily is a knave then Olivia is a knight,\" Olivia declared. Emily expressed that If Emma is a knave then Olivia is a knight. In Emma's words: \"If Olivia is a knave then Emily is a knave\". So who is a knight and who is a knave?", "names": ["Olivia", "Emily", "Emma"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Olivia is a knight, Emily is a knight, and Emma is a knight.", "solution_text_format": "(1) Olivia is a knight\n(2) Emily is a knight\n(3) 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 Olivia is a knight. No contradiction is found in their claim that If Emily is a knave then Olivia is a knight.", "Assume Emily is a knight. No contradiction is found in their claim that If Emma is a knave then Olivia is a knight.", "Assume Emma is a knight. No contradiction is found in their claim that If Olivia is a knave then Emily is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 1), ('telling-truth', 0)), ('->', ('lying', 2), ('telling-truth', 0)), ('->', ('lying', 0), ('lying', 1)))", "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 3 inhabitants: Evelyn, Jack, and Zoey. Evelyn was heard saying, \"Jack is a knight and Zoey is a knight\". In Jack's words: \"Zoey is a knave or Evelyn is a knight\". In Zoey's words: \"Evelyn is not a knight\". So who is a knight and who is a knave?", "names": ["Evelyn", "Jack", "Zoey"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Evelyn is a knave, Jack is a knave, and Zoey is a knight.", "solution_text_format": "(1) Evelyn is a knave\n(2) Jack is a knave\n(3) 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 Evelyn is a knight. No contradiction is found in their claim that Jack is a knight and Zoey is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that Zoey is a knave or Evelyn is a knight.", "Zoey cannot be a knight, because this would contradict the claim of their own that Evelyn is not a knight.", "Zoey cannot be a knave, because this would contradict the claim of Evelyn that Jack is a knight and Zoey is a knight.", "We have exhausted all possibilities for Zoey, so let us go back and reconsider Jack.", "Jack cannot be a knave, because this would contradict the claim of Evelyn that Jack is a knight and Zoey 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 Zoey is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that Zoey is a knave or Evelyn is a knight.", "Zoey cannot be a knight, because this would contradict the false claim of Evelyn that Jack is a knight and Zoey is a knight.", "Zoey cannot be a knave, because this would contradict the false claim of their own that Evelyn is not a knight.", "We have exhausted all possibilities for Zoey, so let us go back and reconsider Jack.", "Assume Jack is a knave. No contradiction is found in their false claim that Zoey is a knave or Evelyn is a knight.", "Assume Zoey 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": "(('and', ('telling-truth', 1), ('telling-truth', 2)), ('or', ('lying', 2), ('telling-truth', 0)), ('not', ('telling-truth', 0)))", "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 3 inhabitants: Jackson, Zoey, and Joseph. Jackson stated, \"Zoey is a knave or Zoey is a knight\". Zoey stated, \"If Joseph is a knave then Joseph is a knight\". Joseph said, \"If Jackson is a knave then Jackson is a knight.\" So who is a knight and who is a knave?", "names": ["Jackson", "Zoey", "Joseph"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Jackson is a knight, Zoey is a knight, and Joseph is a knight.", "solution_text_format": "(1) Jackson is a knight\n(2) Zoey is a knight\n(3) 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 Jackson is a knight. No contradiction is found in their claim that Zoey is a knave or Zoey is a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that If Joseph is a knave then Joseph is a knight.", "Assume Joseph is a knight. No contradiction is found in their claim that If Jackson is a knave then Jackson is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('telling-truth', 1)), ('->', ('lying', 2), ('telling-truth', 2)), ('->', ('lying', 0), ('telling-truth', 0)))", "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 3 inhabitants: Oliver, Sophia, and Ella. In a statement by Oliver: \"Sophia is a knave or Oliver is a knight\". According to Sophia, \"Ella is a knight and Oliver is a knight\". Ella stated, \"Ella is a knight if and only if Sophia is a knave\". So who is a knight and who is a knave?", "names": ["Oliver", "Sophia", "Ella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false], "solution_text": "Oliver is a knight, Sophia is a knave, and Ella is a knave.", "solution_text_format": "(1) Oliver is a knight\n(2) Sophia is a knave\n(3) 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 Sophia is a knave or Oliver is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that Ella is a knight and Oliver is a knight.", "Ella cannot be a knight, because this would contradict the claim of their own that Ella is a knight if and only if Sophia is a knave.", "Ella cannot be a knave, because this would contradict the claim of Sophia that Ella is a knight and Oliver is a knight.", "We have exhausted all possibilities for Ella, so let us go back and reconsider Sophia.", "Assume Sophia is a knave. No contradiction is found in their false claim that Ella is a knight and Oliver is a knight.", "Ella cannot be a knight, because this would contradict the false claim of Sophia that Ella is a knight and Oliver is a knight.", "Assume Ella is a knave. No contradiction is found in their false claim that Ella is a knight if and only if Sophia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('telling-truth', 0)), ('and', ('telling-truth', 2), ('telling-truth', 0)), ('<=>', ('telling-truth', 2), ('lying', 1)))", "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 3 inhabitants: Zoey, Ava, and Evelyn. Zoey asserted: \"Evelyn is a knight if and only if Ava is a knave\". \"Evelyn is a knave if and only if Ava is a knight\" - Ava. Evelyn told you that Zoey is a knight. So who is a knight and who is a knave?", "names": ["Zoey", "Ava", "Evelyn"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false], "solution_text": "Zoey is a knave, Ava is a knave, and Evelyn is a knave.", "solution_text_format": "(1) Zoey is a knave\n(2) Ava is a knave\n(3) 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 Zoey is a knight. No contradiction is found in their claim that Evelyn is a knight if and only if Ava is a knave.", "Assume Evelyn is a knight. No contradiction is found in their claim that Zoey is a knight.", "Ava cannot be a knight, because this would contradict the claim of Zoey that Evelyn 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 Evelyn is a knave if and only if Ava is a knight.", "We have exhausted all possibilities for Ava, so let us go back and reconsider Evelyn.", "Evelyn 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 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 Ava is a knave.", "Evelyn cannot be a knight, because this would contradict the claim of their own that Zoey is a knight.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Zoey is a knight.", "Ava cannot be a knight, because this would contradict the false claim of Zoey that Evelyn 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 Evelyn is a knave if and only if Ava is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 2), ('lying', 1)), ('<=>', ('lying', 2), ('telling-truth', 1)), ('telling-truth', 0))", "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 3 inhabitants: Grace, Riley, and Abigail. Grace said that Grace is a knight and Abigail is a knave. Riley asserted: \"Grace is not a knave\". According to Abigail, \"If Riley is a knave then Grace is a knave\". So who is a knight and who is a knave?", "names": ["Grace", "Riley", "Abigail"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Grace is a knave, Riley is a knave, and Abigail is a knight.", "solution_text_format": "(1) Grace is a knave\n(2) Riley is a knave\n(3) 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 Grace is a knight. No contradiction is found in their claim that Grace is a knight and Abigail is a knave.", "Abigail cannot be a knight, because this would contradict the claim of Grace that Grace is a knight and Abigail is a knave.", "Assume Abigail is a knave. No contradiction is found in their false claim that If Riley is a knave then Grace is a knave.", "Riley cannot be a knight, because this would contradict the false claim of Abigail that If Riley is a knave then Grace is a knave.", "Riley 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 Riley and Abigail, so let us go back and reconsider Grace.", "Assume Grace is a knave. No contradiction is found in their false claim that Grace is a knight and Abigail is a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that If Riley is a knave then Grace is a knave.", "Riley cannot be a knight, because this would contradict the claim of their own that Grace is not a knave.", "Assume Riley 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": "(('and', ('telling-truth', 0), ('lying', 2)), ('not', ('lying', 0)), ('->', ('lying', 1), ('lying', 0)))", "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 3 inhabitants: Amelia, Isabella, and Riley. \"Riley is a knight or Isabella is a knight,\" Amelia claimed. Isabella said that Riley is a knave. \"Amelia is a knave and Isabella is a knave,\" Riley mentioned. So who is a knight and who is a knave?", "names": ["Amelia", "Isabella", "Riley"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Amelia is a knight, Isabella is a knight, and Riley is a knave.", "solution_text_format": "(1) Amelia is a knight\n(2) Isabella is a knight\n(3) 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 Amelia is a knight. No contradiction is found in their claim that Riley is a knight or Isabella is a knight.", "Riley cannot be a knight, because this would contradict the claim of their own that Amelia is a knave and Isabella is a knave.", "Assume Riley is a knave. No contradiction is found in their false claim that Amelia is a knave and Isabella is a knave.", "Assume Isabella is a knight. No contradiction is found in their claim that Riley is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 2), ('telling-truth', 1)), ('lying', 2), ('and', ('lying', 0), ('lying', 1)))", "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 3 inhabitants: Ethan, Mason, and Luke. Ethan told you that If Ethan is a knight then Luke is a knave. Mason remarked, \"Ethan is a knave\". According to Luke, \"Ethan is a knight and Ethan is a knave\". So who is a knight and who is a knave?", "names": ["Ethan", "Mason", "Luke"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false], "solution_text": "Ethan is a knight, Mason is a knave, and Luke is a knave.", "solution_text_format": "(1) Ethan is a knight\n(2) Mason is a knave\n(3) 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 If Ethan is a knight then Luke is a knave.", "Luke cannot be a knight, because this would contradict the claim of Ethan that If Ethan is a knight then Luke is a knave.", "Assume Luke is a knave. No contradiction is found in their false claim that Ethan is a knight and Ethan is a knave.", "Mason cannot be a knight, because this would contradict the claim of their own that Ethan is a knave.", "Assume Mason 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": "(('->', ('telling-truth', 0), ('lying', 2)), ('lying', 0), ('and', ('telling-truth', 0), ('lying', 0)))", "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 3 inhabitants: Oliver, Riley, and Elizabeth. \"Riley is a knave or Elizabeth is a knight\" - Oliver. In Riley's words: \"Elizabeth is a knave if and only if Elizabeth is a knight\". In a statement by Elizabeth: \"Riley is a knave\". So who is a knight and who is a knave?", "names": ["Oliver", "Riley", "Elizabeth"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Oliver is a knight, Riley is a knave, and Elizabeth is a knight.", "solution_text_format": "(1) Oliver is a knight\n(2) Riley is a knave\n(3) 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 Oliver is a knight. No contradiction is found in their claim that Riley is a knave or Elizabeth is a knight.", "Riley 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 Riley is a knave. No contradiction is found in their false claim that Elizabeth is a knave if and only if Elizabeth is a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Riley is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('telling-truth', 2)), ('<=>', ('lying', 2), ('telling-truth', 2)), ('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 3 inhabitants: Aria, Liam, and Isabella. Aria told you that Liam is not a knave. In a statement by Liam: \"Isabella is a knave if and only if Liam is a knight\". \"Isabella is a knight or Aria is a knave,\" Isabella declared. So who is a knight and who is a knave?", "names": ["Aria", "Liam", "Isabella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Aria is a knight, Liam is a knight, and Isabella is a knave.", "solution_text_format": "(1) Aria is a knight\n(2) Liam is a knight\n(3) 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 Aria 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 Isabella is a knave if and only if Liam is a knight.", "Isabella cannot be a knight, because this would contradict the claim of Liam that Isabella 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 Isabella is a knight or Aria is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 1)), ('<=>', ('lying', 2), ('telling-truth', 1)), ('or', ('telling-truth', 2), ('lying', 0)))", "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 3 inhabitants: Luke, Chloe, and Michael. \"Chloe is a knave or Michael is a knight,\" Luke declared. \"If Michael is a knight then Luke is a knave,\" Chloe declared. Michael said, \"Michael is a knight if and only if Luke is a knight.\" So who is a knight and who is a knave?", "names": ["Luke", "Chloe", "Michael"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Luke is a knight, Chloe is a knave, and Michael is a knight.", "solution_text_format": "(1) Luke is a knight\n(2) Chloe is a knave\n(3) 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 Luke is a knight. No contradiction is found in their claim that Chloe is a knave or Michael is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that If Michael is a knight then Luke is a knave.", "Michael cannot be a knight, because this would contradict the claim of Chloe that If Michael is a knight then Luke is a knave.", "Michael cannot be a knave, because this would contradict the claim of Luke that Chloe is a knave or Michael is a knight.", "We have exhausted all possibilities for Michael, so let us go back and reconsider Chloe.", "Assume Chloe is a knave. No contradiction is found in their false claim that If Michael is a knight then Luke is a knave.", "Assume Michael is a knight. No contradiction is found in their claim that Michael is a knight if and only if Luke is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('telling-truth', 2)), ('->', ('telling-truth', 2), ('lying', 0)), ('<=>', ('telling-truth', 2), ('telling-truth', 0)))", "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 3 inhabitants: Zoey, Lily, and Charlotte. Zoey noted, \"Lily is a knight or Charlotte is a knave\". In Lily's words: \"Charlotte is not a knight\". Charlotte asserted: \"Lily is a knave or Lily is a knight\". So who is a knight and who is a knave?", "names": ["Zoey", "Lily", "Charlotte"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Zoey is a knave, Lily is a knave, and Charlotte is a knight.", "solution_text_format": "(1) Zoey is a knave\n(2) Lily is a knave\n(3) 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 Zoey is a knight. No contradiction is found in their claim that Lily is a knight or Charlotte is a knave.", "Assume Lily 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 Lily that Charlotte is not a knight.", "Charlotte cannot be a knave, because this would contradict the false claim of their own that Lily is a knave or Lily is a knight.", "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 not a knight.", "Charlotte cannot be a knight, because this would contradict the claim of Zoey that Lily is a knight or Charlotte is a knave.", "Charlotte cannot be a knave, because this would contradict the false claim of Lily that Charlotte is not a knight.", "We have exhausted all possibilities for Charlotte and 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 knight or Charlotte is a knave.", "Lily cannot be a knight, because this would contradict the false claim of Zoey that Lily is a knight or Charlotte is a knave.", "Assume Lily 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 Lily is a knave or Lily is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 1), ('lying', 2)), ('not', ('telling-truth', 2)), ('or', ('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 3 inhabitants: Olivia, Sofia, and Victoria. \"Olivia is a knight if and only if Victoria is a knight,\" Olivia declared. Sofia expressed that Olivia is a knight if and only if Victoria is a knave. According to Victoria, \"Olivia is a knight\". So who is a knight and who is a knave?", "names": ["Olivia", "Sofia", "Victoria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Olivia is a knight, Sofia is a knave, and Victoria is a knight.", "solution_text_format": "(1) Olivia is a knight\n(2) Sofia is a knave\n(3) 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 Olivia is a knight. No contradiction is found in their claim that Olivia is a knight if and only if Victoria is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that Olivia is a knight.", "Sofia cannot be a knight, because this would contradict the claim of their own that Olivia is a knight if and only if Victoria is a knave.", "Assume Sofia is a knave. No contradiction is found in their false claim that Olivia is a knight if and only if Victoria is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 0), ('telling-truth', 2)), ('<=>', ('telling-truth', 0), ('lying', 2)), ('telling-truth', 0))", "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 3 inhabitants: William, Lily, and Penelope. William expressed that William is a knight if and only if Lily is a knave. Lily noted, \"William is not a knight\". Penelope asserted: \"William is a knight\". So who is a knight and who is a knave?", "names": ["William", "Lily", "Penelope"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "William is a knight, Lily is a knave, and Penelope is a knight.", "solution_text_format": "(1) William is a knight\n(2) Lily is a knave\n(3) 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 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.", "Assume Lily is a knave. No contradiction is found in their false claim that William is not a knight.", "Assume Penelope 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', 0), ('lying', 1)), ('not', ('telling-truth', 0)), ('telling-truth', 0))", "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 3 inhabitants: Mason, Zoey, and Penelope. Mason remarked, \"Mason is a knight or Penelope is a knight\". Zoey remarked, \"If Penelope is a knight then Zoey is a knight\". \"If Mason is a knight then Zoey is a knight,\" Penelope declared. So who is a knight and who is a knave?", "names": ["Mason", "Zoey", "Penelope"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Mason is a knight, Zoey is a knight, and Penelope is a knight.", "solution_text_format": "(1) Mason is a knight\n(2) Zoey is a knight\n(3) 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 Mason is a knight. No contradiction is found in their claim that Mason is a knight or Penelope is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that If Mason is a knight then Zoey is a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that If Penelope is a knight then Zoey is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 0), ('telling-truth', 2)), ('->', ('telling-truth', 2), ('telling-truth', 1)), ('->', ('telling-truth', 0), ('telling-truth', 1)))", "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 3 inhabitants: Mason, Owen, and Ethan. According to Mason, \"Owen is a knave and Owen is a knight\". \"Mason is not a knave,\" Owen mentioned. According to Ethan, \"Ethan is a knight or Mason is a knave\". So who is a knight and who is a knave?", "names": ["Mason", "Owen", "Ethan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Mason is a knave, Owen is a knave, and Ethan is a knight.", "solution_text_format": "(1) Mason is a knave\n(2) Owen is a knave\n(3) 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": ["Mason cannot be a knight, because this would contradict the claim of their own that Owen is a knave and Owen is a knight.", "Assume Mason is a knave. No contradiction is found in their false claim that Owen is a knave and Owen is a knight.", "Owen cannot be a knight, because this would contradict the claim of their own that Mason is not a knave.", "Assume Owen is a knave. No contradiction is found in their false claim that Mason is not a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that Ethan is a knight or Mason is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('telling-truth', 1)), ('not', ('lying', 0)), ('or', ('telling-truth', 2), ('lying', 0)))", "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 3 inhabitants: Charlotte, Michael, and Ethan. Charlotte said that Ethan is a knave and Ethan is a knight. Michael was heard saying, \"If Charlotte is a knight then Ethan is a knight\". Ethan said, \"Michael is a knave and Ethan is a knight.\" So who is a knight and who is a knave?", "names": ["Charlotte", "Michael", "Ethan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Charlotte is a knave, Michael is a knight, and Ethan is a knave.", "solution_text_format": "(1) Charlotte is a knave\n(2) Michael is a knight\n(3) 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": ["Charlotte cannot be a knight, because this would contradict the claim of their own that Ethan is a knave and Ethan is a knight.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Ethan is a knave and Ethan is a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that Michael is a knave and Ethan is a knight.", "Michael cannot be a knight, because this would contradict the claim of Ethan that Michael is a knave and Ethan is a knight.", "Michael cannot be a knave, because this would contradict the false claim of their own that If Charlotte is a knight then Ethan is a knight.", "We have exhausted all possibilities for Michael, so let us go back and reconsider Ethan.", "Assume Ethan is a knave. No contradiction is found in their false claim that Michael is a knave and Ethan is a knight.", "Assume Michael is a knight. No contradiction is found in their claim that If Charlotte is a knight then Ethan is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('telling-truth', 2)), ('->', ('telling-truth', 0), ('telling-truth', 2)), ('and', ('lying', 1), ('telling-truth', 2)))", "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 3 inhabitants: Daniel, Avery, and Jack. \"Jack is not a knave\" - Daniel. \"If Jack is a knight then Avery is a knight,\" Avery mentioned. Jack stated, \"Avery is a knave if and only if Avery is a knight\". So who is a knight and who is a knave?", "names": ["Daniel", "Avery", "Jack"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Daniel is a knave, Avery is a knight, and Jack is a knave.", "solution_text_format": "(1) Daniel is a knave\n(2) Avery is a knight\n(3) 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 Daniel is a knight. No contradiction is found in their claim that Jack is not a knave.", "Jack cannot be a knight, because this would contradict the claim of their own that Avery is a knave if and only if Avery is a knight.", "Jack cannot be a knave, because this would contradict the claim of Daniel that Jack is not a knave.", "We have exhausted all possibilities for Jack, so let us go back and reconsider Daniel.", "Assume Daniel 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 Daniel that Jack is not a knave.", "Assume Jack is a knave. No contradiction is found in their false claim that Avery is a knave if and only if Avery is a knight.", "Assume Avery is a knight. No contradiction is found in their claim that If Jack is a knight then Avery is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 2)), ('->', ('telling-truth', 2), ('telling-truth', 1)), ('<=>', ('lying', 1), ('telling-truth', 1)))", "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 3 inhabitants: Zoey, Amelia, and Matthew. According to Zoey, \"Amelia is a knight and Matthew is a knight\". Amelia said, \"If Matthew is a knave then Zoey is a knight.\" \"Zoey is a knight if and only if Zoey is a knave\" - Matthew. So who is a knight and who is a knave?", "names": ["Zoey", "Amelia", "Matthew"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false], "solution_text": "Zoey is a knave, Amelia is a knave, and Matthew is a knave.", "solution_text_format": "(1) Zoey is a knave\n(2) Amelia is a knave\n(3) 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 Zoey is a knight. No contradiction is found in their claim that Amelia is a knight and Matthew is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that If Matthew is a knave then Zoey is a knight.", "Matthew 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.", "Matthew cannot be a knave, because this would contradict the claim of Zoey that Amelia is a knight and Matthew is a knight.", "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 Zoey that Amelia is a knight and Matthew is a knight.", "We have exhausted all possibilities for Amelia, so let us go back and reconsider Zoey.", "Assume Zoey is a knave. No contradiction is found in their false claim that Amelia is a knight and Matthew is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that If Matthew is a knave then Zoey is a knight.", "Matthew cannot be a knight, because this would contradict the false claim of Zoey that Amelia is a knight and Matthew is a knight.", "Matthew cannot be a knave, because this would contradict the claim of Amelia that If Matthew is a knave then Zoey is a knight.", "We have exhausted all possibilities for Matthew, so let us go back and reconsider Amelia.", "Assume Amelia is a knave. No contradiction is found in their false claim that If Matthew is a knave then Zoey is a knight.", "Matthew cannot be a knight, because this would contradict the false claim of Amelia that If Matthew is a knave then Zoey is a knight.", "Assume Matthew is a knave. No contradiction is found in their false claim that Zoey is a knight if and only if Zoey is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('telling-truth', 2)), ('->', ('lying', 2), ('telling-truth', 0)), ('<=>', ('telling-truth', 0), ('lying', 0)))", "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 3 inhabitants: David, Abigail, and Ethan. \"Abigail is a knight or David is a knight,\" David claimed. According to Abigail, \"Ethan is a knave or David is a knave\". Ethan was heard saying, \"David is a knave\". So who is a knight and who is a knave?", "names": ["David", "Abigail", "Ethan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "David is a knight, Abigail is a knight, and Ethan is a knave.", "solution_text_format": "(1) David is a knight\n(2) Abigail is a knight\n(3) 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 David is a knight. No contradiction is found in their claim that Abigail is a knight or David is a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that Ethan is a knave or David is a knave.", "Ethan cannot be a knight, because this would contradict the claim of Abigail that Ethan is a knave or David is a knave.", "Assume Ethan is a knave. No contradiction is found in their false claim that David is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 1), ('telling-truth', 0)), ('or', ('lying', 2), ('lying', 0)), ('lying', 0))", "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 3 inhabitants: Mason, Jacob, and Emma. In a statement by Mason: \"If Mason is a knight then Jacob is a knave\". In Jacob's words: \"Emma is a knave if and only if Emma is a knight\". Emma asserted: \"Jacob is a knave and Mason is a knave\". So who is a knight and who is a knave?", "names": ["Mason", "Jacob", "Emma"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false], "solution_text": "Mason is a knight, Jacob is a knave, and Emma is a knave.", "solution_text_format": "(1) Mason is a knight\n(2) Jacob is a knave\n(3) 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 Mason is a knight. No contradiction is found in their claim that If Mason is a knight then Jacob is a knave.", "Jacob cannot be a knight, because this would contradict the claim of Mason that If Mason is a knight then Jacob is a knave.", "Assume Jacob is a knave. No contradiction is found in their false claim that Emma is a knave if and only if Emma is a knight.", "Emma cannot be a knight, because this would contradict the claim of their own that Jacob is a knave and Mason is a knave.", "Assume Emma is a knave. No contradiction is found in their false claim that Jacob is a knave and Mason is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 0), ('lying', 1)), ('<=>', ('lying', 2), ('telling-truth', 2)), ('and', ('lying', 1), ('lying', 0)))", "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 3 inhabitants: Daniel, Jackson, and David. Daniel said that David is a knave and Jackson is a knight. Jackson said that Daniel is a knight. David expressed that Jackson is a knight or Daniel is a knave. So who is a knight and who is a knave?", "names": ["Daniel", "Jackson", "David"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Daniel is a knave, Jackson is a knave, and David is a knight.", "solution_text_format": "(1) Daniel is a knave\n(2) Jackson is a knave\n(3) 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 David is a knave and Jackson is a knight.", "David cannot be a knight, because this would contradict the claim of Daniel that David is a knave and Jackson is a knight.", "Assume David is a knave. No contradiction is found in their false claim that Jackson is a knight or Daniel is a knave.", "Jackson cannot be a knight, because this would contradict the false claim of David that Jackson is a knight or Daniel is a knave.", "Jackson cannot be a knave, because this would contradict the claim of Daniel that David is a knave and Jackson is a knight.", "We have exhausted all possibilities for Jackson 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 a knave and Jackson is a knight.", "Assume David is a knight. No contradiction is found in their claim that Jackson is a knight or Daniel is a knave.", "Jackson cannot be a knight, because this would contradict the claim of their own that Daniel is a knight.", "Assume Jackson 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": "(('and', ('lying', 2), ('telling-truth', 1)), ('telling-truth', 0), ('or', ('telling-truth', 1), ('lying', 0)))", "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 3 inhabitants: Scarlett, Jack, and Grace. \"Grace is a knave or Jack is a knave,\" Scarlett claimed. Jack asserted: \"Grace is not a knight\". \"Scarlett is a knight or Grace is a knight,\" Grace claimed. So who is a knight and who is a knave?", "names": ["Scarlett", "Jack", "Grace"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Scarlett is a knight, Jack is a knave, and Grace is a knight.", "solution_text_format": "(1) Scarlett is a knight\n(2) Jack is a knave\n(3) 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 Scarlett is a knight. No contradiction is found in their claim that Grace is a knave or Jack is a knave.", "Assume Grace is a knight. No contradiction is found in their claim that Scarlett is a knight or Grace is a knight.", "Jack cannot be a knight, because this would contradict the claim of Scarlett that Grace is a knave or Jack is a knave.", "Assume Jack 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', 2), ('lying', 1)), ('not', ('telling-truth', 2)), ('or', ('telling-truth', 0), ('telling-truth', 2)))", "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 3 inhabitants: Jacob, Aurora, and Logan. Jacob said, \"Logan is a knight and Aurora is a knave.\" Aurora stated, \"Logan is a knight if and only if Jacob is a knave\". \"Jacob is a knight if and only if Jacob is a knave,\" Logan mentioned. So who is a knight and who is a knave?", "names": ["Jacob", "Aurora", "Logan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false], "solution_text": "Jacob is a knave, Aurora is a knave, and Logan is a knave.", "solution_text_format": "(1) Jacob is a knave\n(2) Aurora is a knave\n(3) 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 Jacob is a knight. No contradiction is found in their claim that Logan is a knight and Aurora is a knave.", "Logan cannot be a knight, because this would contradict the claim of their own that Jacob is a knight if and only if Jacob is a knave.", "Logan cannot be a knave, because this would contradict the claim of Jacob that Logan is a knight and Aurora is a knave.", "We have exhausted all possibilities for Logan, so let us go back and reconsider Jacob.", "Assume Jacob is a knave. No contradiction is found in their false claim that Logan is a knight and Aurora is a knave.", "Logan cannot be a knight, because this would contradict the claim of their own that Jacob is a knight if and only if Jacob is a knave.", "Assume Logan is a knave. No contradiction is found in their false claim that Jacob is a knight if and only if Jacob is a knave.", "Aurora cannot be a knight, because this would contradict the claim of their own that Logan is a knight if and only if Jacob is a knave.", "Assume Aurora is a knave. No contradiction is found in their false claim that Logan is a knight if and only if Jacob is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 2), ('lying', 1)), ('<=>', ('telling-truth', 2), ('lying', 0)), ('<=>', ('telling-truth', 0), ('lying', 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 3 inhabitants: Penelope, Benjamin, and Daniel. \"Daniel is a knight and Daniel is a knave\" - Penelope. Benjamin told you that Penelope is a knave. Daniel asserted: \"Penelope is a knight\". So who is a knight and who is a knave?", "names": ["Penelope", "Benjamin", "Daniel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Penelope is a knave, Benjamin is a knight, and Daniel is a knave.", "solution_text_format": "(1) Penelope is a knave\n(2) Benjamin is a knight\n(3) 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": ["Penelope cannot be a knight, because this would contradict the claim of their own that Daniel is a knight and Daniel is a knave.", "Assume Penelope 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 Penelope is a knight.", "Assume Daniel is a knave. No contradiction is found in their false claim that Penelope is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that Penelope is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 2), ('lying', 2)), ('lying', 0), ('telling-truth', 0))", "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 3 inhabitants: Mia, Henry, and Jackson. Mia was heard saying, \"Henry is not a knight\". In Henry's words: \"Jackson is a knight or Mia is a knight\". In a statement by Jackson: \"Mia is not a knight\". So who is a knight and who is a knave?", "names": ["Mia", "Henry", "Jackson"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Mia is a knave, Henry is a knight, and Jackson is a knight.", "solution_text_format": "(1) Mia is a knave\n(2) Henry is a knight\n(3) 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 Mia 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 Mia that Henry is not a knight.", "Henry cannot be a knave, because this would contradict the false claim of their own that Jackson is a knight or Mia is a knight.", "We have exhausted all possibilities for Henry, so let us go back and reconsider Mia.", "Assume Mia is a knave. No contradiction is found in their false claim that Henry is not a knight.", "Assume Henry 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 Mia is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('or', ('telling-truth', 2), ('telling-truth', 0)), ('not', ('telling-truth', 0)))", "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 3 inhabitants: David, Emily, and Mia. David expressed that If Mia is a knight then Emily is a knight. Emily was heard saying, \"David is not a knight\". Mia asserted: \"David is a knave if and only if Emily is a knave\". So who is a knight and who is a knave?", "names": ["David", "Emily", "Mia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false], "solution_text": "David is a knight, Emily is a knave, and Mia is a knave.", "solution_text_format": "(1) David is a knight\n(2) Emily is a knave\n(3) 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 David is a knight. No contradiction is found in their claim that If Mia is a knight then Emily is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that David is a knave if and only if Emily is a knave.", "Emily cannot be a knight, because this would contradict the claim of their own that David is not a knight.", "Emily cannot be a knave, because this would contradict the claim of David that If Mia is a knight then 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 David is a knave if and only if Emily is a knave.", "Emily cannot be a knight, because this would contradict the claim of their own that David is not a knight.", "Assume Emily is a knave. No contradiction is found in their false claim that David is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 2), ('telling-truth', 1)), ('not', ('telling-truth', 0)), ('<=>', ('lying', 0), ('lying', 1)))", "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 3 inhabitants: James, William, and Henry. James noted, \"James is a knight and William is a knave\". \"Henry is a knight or Henry is a knave,\" William declared. In Henry's words: \"William is a knight if and only if William is a knave\". So who is a knight and who is a knave?", "names": ["James", "William", "Henry"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "James is a knave, William is a knight, and Henry is a knave.", "solution_text_format": "(1) James is a knave\n(2) William is a knight\n(3) 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 James is a knight and William is a knave.", "William cannot be a knight, because this would contradict the claim of James that James is a knight and William is a knave.", "William cannot be a knave, because this would contradict the false claim of their own that Henry is a knight or Henry is a knave.", "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 James is a knight and William is a knave.", "Assume William is a knight. No contradiction is found in their claim that Henry is a knight or Henry is a knave.", "Henry 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 Henry is a knave. No contradiction is found in their false claim that William is a knight if and only if William is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 0), ('lying', 1)), ('or', ('telling-truth', 2), ('lying', 2)), ('<=>', ('telling-truth', 1), ('lying', 1)))", "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 3 inhabitants: Emily, Chloe, and Mason. In a statement by Emily: \"Mason is a knight and Mason is a knave\". According to Chloe, \"If Emily is a knave then Chloe is a knight\". Mason said that If Mason is a knight then Chloe is a knight. So who is a knight and who is a knave?", "names": ["Emily", "Chloe", "Mason"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Emily is a knave, Chloe is a knight, and Mason is a knight.", "solution_text_format": "(1) Emily is a knave\n(2) Chloe is a knight\n(3) 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": ["Emily cannot be a knight, because this would contradict the claim of their own that Mason is a knight and Mason is a knave.", "Assume Emily is a knave. No contradiction is found in their false claim that Mason is a knight and Mason is a knave.", "Assume Mason is a knight. No contradiction is found in their claim that If Mason is a knight then Chloe is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that If Emily is a knave then Chloe is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 2), ('lying', 2)), ('->', ('lying', 0), ('telling-truth', 1)), ('->', ('telling-truth', 2), ('telling-truth', 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 3 inhabitants: Daniel, Joseph, and Jack. Daniel remarked, \"Daniel is a knight\". Joseph asserted: \"If Joseph is a knight then Daniel is a knave\". In Jack's words: \"Joseph is not a knight\". So who is a knight and who is a knave?", "names": ["Daniel", "Joseph", "Jack"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Daniel is a knave, Joseph is a knight, and Jack is a knave.", "solution_text_format": "(1) Daniel is a knave\n(2) Joseph is a knight\n(3) 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 Daniel is a knight. No contradiction is found in their claim that Daniel is a knight.", "Joseph cannot be a knight, because this would contradict the claim of their own that If Joseph is a knight then Daniel is a knave.", "Joseph cannot be a knave, because this would contradict the false claim of their own that If Joseph is a knight then Daniel is a knave.", "We have exhausted all possibilities for Joseph, so let us go back and reconsider Daniel.", "Assume Daniel is a knave. No contradiction is found in their false claim that Daniel is a knight.", "Assume Joseph is a knight. No contradiction is found in their claim that If Joseph is a knight then Daniel is a knave.", "Jack cannot be a knight, because this would contradict the claim of their own that Joseph is not a knight.", "Assume Jack 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), ('lying', 0)), ('not', ('telling-truth', 1)))", "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 3 inhabitants: Michael, Ava, and Scarlett. Michael told you that Scarlett is a knight if and only if Michael is a knight. Ava said, \"Scarlett is a knight or Ava is a knight.\" Scarlett asserted: \"Michael is a knave and Scarlett is a knight\". So who is a knight and who is a knave?", "names": ["Michael", "Ava", "Scarlett"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Michael is a knave, Ava is a knight, and Scarlett is a knight.", "solution_text_format": "(1) Michael is a knave\n(2) Ava is a knight\n(3) 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 Michael is a knight. No contradiction is found in their claim that Scarlett is a knight if and only if Michael is a knight.", "Scarlett cannot be a knight, because this would contradict the claim of their own that Michael is a knave and Scarlett is a knight.", "Scarlett cannot be a knave, because this would contradict the claim of Michael that Scarlett is a knight if and only if Michael is a knight.", "We have exhausted all possibilities for Scarlett, so let us go back and reconsider Michael.", "Assume Michael is a knave. No contradiction is found in their false claim that Scarlett is a knight if and only if Michael is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that Michael is a knave and Scarlett is a knight.", "Assume Ava is a knight. No contradiction is found in their claim that Scarlett is a knight or Ava is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 2), ('telling-truth', 0)), ('or', ('telling-truth', 2), ('telling-truth', 1)), ('and', ('lying', 0), ('telling-truth', 2)))", "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 3 inhabitants: Daniel, Joseph, and Abigail. \"Abigail is a knave if and only if Joseph is a knight,\" Daniel declared. Joseph told you that Daniel is not a knight. \"Daniel is not a knight,\" Abigail mentioned. So who is a knight and who is a knave?", "names": ["Daniel", "Joseph", "Abigail"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Daniel is a knave, Joseph is a knight, and Abigail is a knight.", "solution_text_format": "(1) Daniel is a knave\n(2) Joseph is a knight\n(3) 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 Abigail is a knave if and only if Joseph is a knight.", "Abigail cannot be a knight, because this would contradict the claim of their own that Daniel is not a knight.", "Assume Abigail is a knave. No contradiction is found in their false claim that Daniel is not a knight.", "Joseph cannot be a knight, because this would contradict the claim of their own that Daniel is not a knight.", "Joseph cannot be a knave, because this would contradict the claim of Daniel that Abigail is a knave if and only if Joseph is a knight.", "We have exhausted all possibilities for Joseph and Abigail, so let us go back and reconsider Daniel.", "Assume Daniel is a knave. No contradiction is found in their false claim that Abigail is a knave if and only if Joseph is a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that Daniel is not a knight.", "Assume Joseph 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": "(('<=>', ('lying', 2), ('telling-truth', 1)), ('not', ('telling-truth', 0)), ('not', ('telling-truth', 0)))", "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 3 inhabitants: Penelope, Samuel, and Benjamin. In Penelope's words: \"If Samuel is a knight then Samuel is a knave\". In Samuel's words: \"Benjamin is a knave and Penelope is a knave\". Benjamin stated, \"If Samuel is a knave then Penelope is a knight\". So who is a knight and who is a knave?", "names": ["Penelope", "Samuel", "Benjamin"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Penelope is a knight, Samuel is a knave, and Benjamin is a knight.", "solution_text_format": "(1) Penelope is a knight\n(2) Samuel is a knave\n(3) 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 If Samuel is a knight then Samuel is a knave.", "Samuel cannot be a knight, because this would contradict the claim of Penelope that If Samuel is a knight then Samuel is a knave.", "Assume Samuel is a knave. No contradiction is found in their false claim that Benjamin is a knave and Penelope is a knave.", "Assume Benjamin is a knight. No contradiction is found in their claim that If Samuel is a knave then Penelope is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 1), ('lying', 1)), ('and', ('lying', 2), ('lying', 0)), ('->', ('lying', 1), ('telling-truth', 0)))", "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 3 inhabitants: Riley, Michael, and Emily. \"Emily is a knave if and only if Michael is a knight,\" Riley claimed. Michael said, \"Michael is a knight or Riley is a knave.\" Emily said, \"Riley is a knave if and only if Emily is a knight.\" So who is a knight and who is a knave?", "names": ["Riley", "Michael", "Emily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Riley is a knave, Michael is a knight, and Emily is a knight.", "solution_text_format": "(1) Riley is a knave\n(2) Michael is a knight\n(3) 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 Riley is a knight. No contradiction is found in their claim that Emily is a knave if and only if Michael is a knight.", "Emily cannot be a knight, because this would contradict the claim of their own that Riley is a knave if and only if Emily is a knight.", "Emily cannot be a knave, because this would contradict the false claim of their own that Riley is a knave if and only if Emily is a knight.", "We have exhausted all possibilities for 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 knave if and only if Michael is a knight.", "Assume Emily is a knight. No contradiction is found in their claim that Riley is a knave if and only if Emily is a knight.", "Assume Michael is a knight. No contradiction is found in their claim that Michael is a knight or Riley is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 2), ('telling-truth', 1)), ('or', ('telling-truth', 1), ('lying', 0)), ('<=>', ('lying', 0), ('telling-truth', 2)))", "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 3 inhabitants: Emma, Riley, and Ethan. Emma was heard saying, \"If Ethan is a knave then Ethan is a knight\". In Riley's words: \"Emma is a knave if and only if Emma is a knight\". In a statement by Ethan: \"If Riley is a knight then Emma is a knave\". So who is a knight and who is a knave?", "names": ["Emma", "Riley", "Ethan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Emma is a knight, Riley is a knave, and Ethan is a knight.", "solution_text_format": "(1) Emma is a knight\n(2) Riley is a knave\n(3) 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 Emma is a knight. No contradiction is found in their claim that If Ethan is a knave then Ethan is a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that If Riley is a knight then Emma 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 Emma is a knight.", "Assume Riley is a knave. No contradiction is found in their false claim that Emma is a knave if and only if Emma is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 2), ('telling-truth', 2)), ('<=>', ('lying', 0), ('telling-truth', 0)), ('->', ('telling-truth', 1), ('lying', 0)))", "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 3 inhabitants: Isabella, Logan, and Harper. Isabella expressed that Harper is not a knave. Logan told you that Isabella is a knave if and only if Logan is a knight. Harper remarked, \"Logan is a knight if and only if Harper is a knight\". So who is a knight and who is a knave?", "names": ["Isabella", "Logan", "Harper"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Isabella is a knave, Logan is a knight, and Harper is a knave.", "solution_text_format": "(1) Isabella is a knave\n(2) Logan is a knight\n(3) 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 Isabella 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 Logan is a knight if and only if Harper is a knight.", "Logan cannot be a knight, because this would contradict the claim of their own that Isabella is a knave if and only if Logan is a knight.", "Logan cannot be a knave, because this would contradict the false claim of their own that Isabella is a knave if and only if Logan is a knight.", "We have exhausted all possibilities for Logan, so let us go back and reconsider Harper.", "Harper cannot be a knave, because this would contradict the claim of Isabella that Harper is not a knave.", "We have exhausted all possibilities for Harper, so let us go back and reconsider Isabella.", "Assume Isabella 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 Isabella that Harper is not a knave.", "Assume Harper is a knave. No contradiction is found in their false claim that Logan is a knight if and only if Harper is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that Isabella is a knave if and only if Logan is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 2)), ('<=>', ('lying', 0), ('telling-truth', 1)), ('<=>', ('telling-truth', 1), ('telling-truth', 2)))", "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 3 inhabitants: Isabella, Lucas, and Michael. Isabella commented, \"If Isabella is a knight then Michael is a knave\". Lucas noted, \"Isabella is a knave if and only if Isabella is a knight\". Michael said, \"Michael is a knight and Isabella is a knight.\" So who is a knight and who is a knave?", "names": ["Isabella", "Lucas", "Michael"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false], "solution_text": "Isabella is a knight, Lucas is a knave, and Michael is a knave.", "solution_text_format": "(1) Isabella is a knight\n(2) Lucas is a knave\n(3) 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 Isabella is a knight. No contradiction is found in their claim that If Isabella is a knight then Michael is a knave.", "Michael cannot be a knight, because this would contradict the claim of Isabella that If Isabella is a knight then Michael is a knave.", "Assume Michael is a knave. No contradiction is found in their false claim that Michael is a knight and Isabella is a knight.", "Lucas 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 Lucas is a knave. No contradiction is found in their false claim that Isabella is a knave if and only if Isabella is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 0), ('lying', 2)), ('<=>', ('lying', 0), ('telling-truth', 0)), ('and', ('telling-truth', 2), ('telling-truth', 0)))", "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 3 inhabitants: Ethan, Jack, and Joseph. Ethan stated, \"Joseph is a knave\". In Jack's words: \"Joseph is a knight\". Joseph told you that Jack is a knave if and only if Ethan is a knave. So who is a knight and who is a knave?", "names": ["Ethan", "Jack", "Joseph"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false], "solution_text": "Ethan is a knight, Jack is a knave, and Joseph is a knave.", "solution_text_format": "(1) Ethan is a knight\n(2) Jack is a knave\n(3) 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 Ethan 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 Ethan that Joseph is a knave.", "Assume Joseph is a knave. No contradiction is found in their false claim that Jack is a knave if and only if Ethan is a knave.", "Jack cannot be a knight, because this would contradict the claim of their own that Joseph is a knight.", "Assume Jack 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', 2), ('telling-truth', 2), ('<=>', ('lying', 1), ('lying', 0)))", "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 3 inhabitants: Olivia, Luke, and Sofia. Olivia expressed that Luke is a knave. \"Olivia is a knave or Sofia is a knave\" - Luke. Sofia commented, \"Luke is a knave if and only if Olivia is a knave\". So who is a knight and who is a knave?", "names": ["Olivia", "Luke", "Sofia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Olivia is a knave, Luke is a knight, and Sofia is a knave.", "solution_text_format": "(1) Olivia is a knave\n(2) Luke is a knight\n(3) 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 Olivia 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 Olivia that Luke is a knave.", "Assume Luke is a knave. No contradiction is found in their false claim that Olivia is a knave or Sofia is a knave.", "Sofia cannot be a knight, because this would contradict the claim of their own that Luke is a knave if and only if Olivia is a knave.", "Sofia cannot be a knave, because this would contradict the false claim of Luke that Olivia is a knave or Sofia is a knave.", "We have exhausted all possibilities for Sofia and Luke, so let us go back and reconsider Olivia.", "Assume Olivia 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 Olivia is a knave or Sofia is a knave.", "Sofia cannot be a knight, because this would contradict the claim of their own that Luke is a knave if and only if Olivia is a knave.", "Assume Sofia is a knave. No contradiction is found in their false claim that Luke is a knave if and only if Olivia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('or', ('lying', 0), ('lying', 2)), ('<=>', ('lying', 1), ('lying', 0)))", "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 3 inhabitants: Daniel, Logan, and Charlotte. Daniel remarked, \"Logan is not a knight\". \"Charlotte is a knight and Daniel is a knight\" - Logan. Charlotte said that Charlotte is a knight and Logan is a knight. So who is a knight and who is a knave?", "names": ["Daniel", "Logan", "Charlotte"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false], "solution_text": "Daniel is a knight, Logan is a knave, and Charlotte is a knave.", "solution_text_format": "(1) Daniel is a knight\n(2) Logan is a knave\n(3) 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 Daniel 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 Daniel that Logan is not a knight.", "Assume Logan is a knave. No contradiction is found in their false claim that Charlotte is a knight and Daniel is a knight.", "Charlotte cannot be a knight, because this would contradict the false claim of Logan that Charlotte is a knight and Daniel is a knight.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Charlotte is a knight and Logan is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('and', ('telling-truth', 2), ('telling-truth', 0)), ('and', ('telling-truth', 2), ('telling-truth', 1)))", "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 3 inhabitants: Avery, Sophia, and Scarlett. Avery said, \"Sophia is a knight or Avery is a knight.\" Sophia was heard saying, \"Scarlett is a knight or Avery is a knight\". Scarlett said, \"Avery is a knight or Avery is a knave.\" So who is a knight and who is a knave?", "names": ["Avery", "Sophia", "Scarlett"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Avery is a knight, Sophia is a knight, and Scarlett is a knight.", "solution_text_format": "(1) Avery is a knight\n(2) Sophia is a knight\n(3) 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 Avery is a knight. No contradiction is found in their claim that Sophia is a knight or Avery is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that Scarlett is a knight or Avery is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that Avery is a knight or Avery is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 1), ('telling-truth', 0)), ('or', ('telling-truth', 2), ('telling-truth', 0)), ('or', ('telling-truth', 0), ('lying', 0)))", "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 3 inhabitants: James, Lily, and Amelia. In a statement by James: \"Amelia is a knave or Lily is a knave\". As Lily put it, \"If Lily is a knight then Amelia is a knight\". In a statement by Amelia: \"James is a knave\". So who is a knight and who is a knave?", "names": ["James", "Lily", "Amelia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "James is a knave, Lily is a knight, and Amelia is a knight.", "solution_text_format": "(1) James is a knave\n(2) Lily is a knight\n(3) 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 Amelia is a knave or Lily is a knave.", "Amelia cannot be a knight, because this would contradict the claim of their own that James is a knave.", "Assume Amelia is a knave. No contradiction is found in their false claim that James is a knave.", "Lily cannot be a knight, because this would contradict the claim of their own that If Lily is a knight then Amelia is a knight.", "Lily cannot be a knave, because this would contradict the false claim of their own that If Lily is a knight then Amelia is a knight.", "We have exhausted all possibilities for Lily and 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 a knave or Lily is a knave.", "Assume Amelia is a knight. No contradiction is found in their claim that James is a knave.", "Assume Lily is a knight. No contradiction is found in their claim that If Lily is a knight then Amelia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 2), ('lying', 1)), ('->', ('telling-truth', 1), ('telling-truth', 2)), ('lying', 0))", "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 3 inhabitants: Scarlett, Abigail, and Amelia. In a statement by Scarlett: \"Abigail is not a knight\". Abigail commented, \"If Abigail is a knight then Amelia is a knave\". \"If Scarlett is a knave then Scarlett is a knight\" - Amelia. So who is a knight and who is a knave?", "names": ["Scarlett", "Abigail", "Amelia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Scarlett is a knave, Abigail is a knight, and Amelia is a knave.", "solution_text_format": "(1) Scarlett is a knave\n(2) Abigail is a knight\n(3) 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 Scarlett 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 Scarlett that Abigail is not a knight.", "Abigail cannot be a knave, because this would contradict the false claim of their own that If Abigail is a knight then Amelia is a knave.", "We have exhausted all possibilities for Abigail, so let us go back and reconsider Scarlett.", "Assume Scarlett 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 Abigail is a knight then Amelia is a knave.", "Amelia cannot be a knight, because this would contradict the claim of Abigail that If Abigail is a knight then Amelia is a knave.", "Assume Amelia is a knave. No contradiction is found in their false claim that If Scarlett is a knave then Scarlett is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('->', ('telling-truth', 1), ('lying', 2)), ('->', ('lying', 0), ('telling-truth', 0)))", "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 3 inhabitants: Owen, Alexander, and Samuel. \"Samuel is a knave and Samuel is a knight,\" Owen declared. Alexander said, \"If Owen is a knight then Samuel is a knave.\" \"Alexander is a knave and Alexander is a knight,\" Samuel mentioned. So who is a knight and who is a knave?", "names": ["Owen", "Alexander", "Samuel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Owen is a knave, Alexander is a knight, and Samuel is a knave.", "solution_text_format": "(1) Owen is a knave\n(2) Alexander is a knight\n(3) 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": ["Owen cannot be a knight, because this would contradict the claim of their own that Samuel is a knave and Samuel is a knight.", "Assume Owen 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 Alexander is a knave and Alexander is a knight.", "Assume Samuel 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 Owen is a knight then Samuel is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('telling-truth', 2)), ('->', ('telling-truth', 0), ('lying', 2)), ('and', ('lying', 1), ('telling-truth', 1)))", "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 3 inhabitants: Alexander, Aiden, and Matthew. In Alexander's words: \"Aiden is a knave\". Aiden noted, \"Alexander is a knave or Alexander is a knight\". Matthew stated, \"Aiden is not a knave\". So who is a knight and who is a knave?", "names": ["Alexander", "Aiden", "Matthew"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Alexander is a knave, Aiden is a knight, and Matthew is a knight.", "solution_text_format": "(1) Alexander is a knave\n(2) Aiden is a knight\n(3) 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 Alexander 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 Alexander that Aiden is a knave.", "Aiden cannot be a knave, because this would contradict the false claim of their own that Alexander is a knave or Alexander is a knight.", "We have exhausted all possibilities for Aiden, so let us go back and reconsider Alexander.", "Assume Alexander 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 Alexander is a knave or Alexander is a knight.", "Assume Matthew 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": "(('lying', 1), ('or', ('lying', 0), ('telling-truth', 0)), ('not', ('lying', 1)))", "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 3 inhabitants: Jacob, Oliver, and Grace. Jacob expressed that Oliver is a knave. Oliver commented, \"Jacob is a knave if and only if Jacob is a knight\". Grace was heard saying, \"Grace is a knight or Oliver is a knave\". So who is a knight and who is a knave?", "names": ["Jacob", "Oliver", "Grace"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Jacob is a knight, Oliver is a knave, and Grace is a knight.", "solution_text_format": "(1) Jacob is a knight\n(2) Oliver is a knave\n(3) 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 Oliver is a knave.", "Oliver cannot be a knight, because this would contradict the claim of Jacob that Oliver is a knave.", "Assume Oliver is a knave. No contradiction is found in their false claim that Jacob is a knave if and only if Jacob is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that Grace is a knight or Oliver is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('<=>', ('lying', 0), ('telling-truth', 0)), ('or', ('telling-truth', 2), ('lying', 1)))", "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 3 inhabitants: Sophia, Jack, and Owen. Sophia commented, \"Owen is not a knight\". \"Sophia is not a knave,\" Jack mentioned. \"Jack is a knight or Jack is a knave,\" Owen declared. So who is a knight and who is a knave?", "names": ["Sophia", "Jack", "Owen"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Sophia is a knave, Jack is a knave, and Owen is a knight.", "solution_text_format": "(1) Sophia is a knave\n(2) Jack is a knave\n(3) 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 Sophia 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 Sophia that Owen is not a knight.", "Owen 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 Owen, so let us go back and reconsider Sophia.", "Assume Sophia is a knave. No contradiction is found in their false claim that Owen is not a knight.", "Assume Owen is a knight. No contradiction is found in their claim that Jack is a knight or Jack is a knave.", "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."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 2)), ('not', ('lying', 0)), ('or', ('telling-truth', 1), ('lying', 1)))", "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 3 inhabitants: Matthew, Samuel, and Avery. Matthew said that Avery is a knight. Samuel noted, \"If Samuel is a knight then Avery is a knight\". Avery said that Avery is a knight. So who is a knight and who is a knave?", "names": ["Matthew", "Samuel", "Avery"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Matthew is a knight, Samuel is a knight, and Avery is a knight.", "solution_text_format": "(1) Matthew is a knight\n(2) Samuel is a knight\n(3) 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 Matthew 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 Avery is a knight.", "Assume Samuel is a knight. No contradiction is found in their claim that If Samuel is a knight then Avery is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 2), ('->', ('telling-truth', 1), ('telling-truth', 2)), ('telling-truth', 2))", "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 3 inhabitants: Aurora, Chloe, and Liam. Aurora said that Liam is a knave or Chloe is a knight. In a statement by Chloe: \"Liam is a knight or Aurora is a knight\". \"Chloe is a knave or Aurora is a knight\" - Liam. So who is a knight and who is a knave?", "names": ["Aurora", "Chloe", "Liam"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Aurora is a knight, Chloe is a knight, and Liam is a knight.", "solution_text_format": "(1) Aurora is a knight\n(2) Chloe is a knight\n(3) 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 Aurora is a knight. No contradiction is found in their claim that Liam is a knave or Chloe is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that Chloe is a knave or Aurora is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that Liam is a knight or Aurora is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 2), ('telling-truth', 1)), ('or', ('telling-truth', 2), ('telling-truth', 0)), ('or', ('lying', 1), ('telling-truth', 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 3 inhabitants: Abigail, Logan, and Olivia. In a statement by Abigail: \"Logan is a knave and Abigail is a knight\". Logan stated, \"Abigail is a knight or Logan is a knight\". Olivia was heard saying, \"If Olivia is a knight then Logan is a knave\". So who is a knight and who is a knave?", "names": ["Abigail", "Logan", "Olivia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Abigail is a knave, Logan is a knave, and Olivia is a knight.", "solution_text_format": "(1) Abigail is a knave\n(2) Logan is a knave\n(3) 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 Abigail is a knight. No contradiction is found in their claim that Logan is a knave and Abigail is a knight.", "Logan cannot be a knight, because this would contradict the claim of Abigail that Logan is a knave and Abigail is a knight.", "Logan cannot be a knave, because this would contradict the false claim of their own that Abigail is a knight or Logan is a knight.", "We have exhausted all possibilities for Logan, so let us go back and reconsider Abigail.", "Assume Abigail is a knave. No contradiction is found in their false claim that Logan is a knave and Abigail is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that Abigail is a knight or Logan is a knight.", "Olivia cannot be a knight, because this would contradict the claim of their own that If Olivia is a knight then Logan 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 Logan is a knave.", "We have exhausted all possibilities for Olivia, so let us go back and reconsider Logan.", "Assume Logan is a knave. No contradiction is found in their false claim that Abigail is a knight or Logan is a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that If Olivia is a knight then Logan is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('telling-truth', 0)), ('or', ('telling-truth', 0), ('telling-truth', 1)), ('->', ('telling-truth', 2), ('lying', 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 3 inhabitants: Emma, Riley, and Lily. Emma remarked, \"Riley is a knight and Emma is a knight\". \"Lily is a knight\" - Riley. \"Riley is a knave if and only if Lily is a knight,\" Lily claimed. So who is a knight and who is a knave?", "names": ["Emma", "Riley", "Lily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false], "solution_text": "Emma is a knave, Riley is a knave, and Lily is a knave.", "solution_text_format": "(1) Emma is a knave\n(2) Riley is a knave\n(3) 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 Emma is a knight. No contradiction is found in their claim that Riley is a knight and Emma is a knight.", "Assume Riley 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 Riley is a knave if and only if Lily is a knight.", "Lily cannot be a knave, because this would contradict the claim of Riley that Lily is a knight.", "We have exhausted all possibilities for Lily, so let us go back and reconsider Riley.", "Riley cannot be a knave, because this would contradict the claim of Emma that Riley is a knight and Emma is a knight.", "We have exhausted all possibilities for Riley, so let us go back and reconsider Emma.", "Assume Emma is a knave. No contradiction is found in their false claim that Riley is a knight and Emma is a knight.", "Assume Riley 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 Riley is a knave if and only if Lily is a knight.", "Lily cannot be a knave, because this would contradict the claim of Riley that Lily is a knight.", "We have exhausted all possibilities for Lily, so let us go back and reconsider Riley.", "Assume Riley 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 Riley that Lily is a knight.", "Assume Lily is a knave. No contradiction is found in their false claim that Riley is a knave if and only if Lily is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('telling-truth', 0)), ('telling-truth', 2), ('<=>', ('lying', 1), ('telling-truth', 2)))", "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 3 inhabitants: Aiden, Charlotte, and Owen. Aiden noted, \"Owen is a knight and Charlotte is a knave\". Charlotte noted, \"Owen is not a knight\". According to Owen, \"Charlotte is a knave or Charlotte is a knight\". So who is a knight and who is a knave?", "names": ["Aiden", "Charlotte", "Owen"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Aiden is a knight, Charlotte is a knave, and Owen is a knight.", "solution_text_format": "(1) Aiden is a knight\n(2) Charlotte is a knave\n(3) 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 Aiden is a knight. No contradiction is found in their claim that Owen is a knight and Charlotte is a knave.", "Assume Owen is a knight. No contradiction is found in their claim that Charlotte is a knave or Charlotte is a knight.", "Charlotte cannot be a knight, because this would contradict the claim of Aiden that Owen is a knight and Charlotte is a knave.", "Assume Charlotte 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": "(('and', ('telling-truth', 2), ('lying', 1)), ('not', ('telling-truth', 2)), ('or', ('lying', 1), ('telling-truth', 1)))", "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 3 inhabitants: Grace, Jackson, and Henry. Grace said, \"Henry is not a knave.\" \"Grace is not a knave,\" Jackson mentioned. \"Jackson is a knight and Jackson is a knave,\" Henry declared. So who is a knight and who is a knave?", "names": ["Grace", "Jackson", "Henry"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false], "solution_text": "Grace is a knave, Jackson is a knave, and Henry is a knave.", "solution_text_format": "(1) Grace is a knave\n(2) Jackson is a knave\n(3) 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 Grace is a knight. No contradiction is found in their claim that Henry is not a knave.", "Henry cannot be a knight, because this would contradict the claim of their own that Jackson is a knight and Jackson is a knave.", "Henry cannot be a knave, because this would contradict the claim of Grace that Henry is not a knave.", "We have exhausted all possibilities for Henry, so let us go back and reconsider Grace.", "Assume Grace 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 Grace that Henry is not a knave.", "Assume Henry is a knave. No contradiction is found in their false claim that Jackson is a knight and Jackson is a knave.", "Jackson cannot be a knight, because this would contradict the claim of their own that Grace is not a knave.", "Assume Jackson 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": "(('not', ('lying', 2)), ('not', ('lying', 0)), ('and', ('telling-truth', 1), ('lying', 1)))", "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 3 inhabitants: Emily, Samuel, and Jackson. Emily noted, \"Samuel is a knight and Jackson is a knight\". Samuel expressed that Samuel is a knight or Jackson is a knight. \"Samuel is a knave and Emily is a knave,\" Jackson declared. So who is a knight and who is a knave?", "names": ["Emily", "Samuel", "Jackson"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Emily is a knave, Samuel is a knight, and Jackson is a knave.", "solution_text_format": "(1) Emily is a knave\n(2) Samuel is a knight\n(3) 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 Emily is a knight. No contradiction is found in their claim that Samuel is a knight and Jackson is a knight.", "Assume Samuel is a knight. No contradiction is found in their claim that Samuel is a knight or Jackson is a knight.", "Jackson cannot be a knight, because this would contradict the claim of their own that Samuel is a knave and Emily is a knave.", "Jackson cannot be a knave, because this would contradict the claim of Emily that Samuel is a knight and Jackson is a knight.", "We have exhausted all possibilities for Jackson, so let us go back and reconsider Samuel.", "Samuel cannot be a knave, because this would contradict the claim of Emily that Samuel is a knight and Jackson is a knight.", "We have exhausted all possibilities for Samuel, so let us go back and reconsider Emily.", "Assume Emily is a knave. No contradiction is found in their false claim that Samuel is a knight and Jackson is a knight.", "Assume Samuel is a knight. No contradiction is found in their claim that Samuel is a knight or Jackson is a knight.", "Jackson cannot be a knight, because this would contradict the false claim of Emily that Samuel is a knight and Jackson is a knight.", "Assume Jackson is a knave. No contradiction is found in their false claim that Samuel is a knave and Emily is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('telling-truth', 2)), ('or', ('telling-truth', 1), ('telling-truth', 2)), ('and', ('lying', 1), ('lying', 0)))", "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 3 inhabitants: Jacob, Oliver, and David. Jacob said that David is not a knave. Oliver asserted: \"Jacob is a knave\". David asserted: \"Jacob is a knave and Jacob is a knight\". So who is a knight and who is a knave?", "names": ["Jacob", "Oliver", "David"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Jacob is a knave, Oliver is a knight, and David is a knave.", "solution_text_format": "(1) Jacob is a knave\n(2) Oliver is a knight\n(3) 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 Jacob 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 Jacob is a knave and Jacob is a knight.", "David cannot be a knave, because this would contradict the claim of Jacob that David is not 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 David is not a knave.", "David cannot be a knight, because this would contradict the false claim of Jacob that David is not a knave.", "Assume David is a knave. No contradiction is found in their false claim that Jacob is a knave and Jacob is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that Jacob is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 2)), ('lying', 0), ('and', ('lying', 0), ('telling-truth', 0)))", "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 3 inhabitants: Emily, Evelyn, and Alexander. \"Evelyn is not a knave\" - Emily. \"Emily is a knight or Emily is a knave,\" Evelyn claimed. Alexander noted, \"Evelyn is a knight or Alexander is a knight\". So who is a knight and who is a knave?", "names": ["Emily", "Evelyn", "Alexander"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Emily is a knight, Evelyn is a knight, and Alexander is a knight.", "solution_text_format": "(1) Emily is a knight\n(2) Evelyn is a knight\n(3) 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 Emily 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 Emily is a knight or Emily is a knave.", "Assume Alexander is a knight. No contradiction is found in their claim that Evelyn is a knight or Alexander is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 1)), ('or', ('telling-truth', 0), ('lying', 0)), ('or', ('telling-truth', 1), ('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 3 inhabitants: Evelyn, Owen, and Penelope. Evelyn was heard saying, \"Owen is a knave\". \"Penelope is a knight,\" Owen claimed. Penelope asserted: \"Owen is a knave or Evelyn is a knave\". So who is a knight and who is a knave?", "names": ["Evelyn", "Owen", "Penelope"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Evelyn is a knave, Owen is a knight, and Penelope is a knight.", "solution_text_format": "(1) Evelyn is a knave\n(2) Owen is a knight\n(3) 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 Evelyn 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 Evelyn that Owen is a knave.", "Assume Owen 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 Owen that Penelope is a knight.", "Penelope cannot be a knave, because this would contradict the false claim of their own that Owen is a knave or Evelyn is a knave.", "We have exhausted all possibilities for Penelope and 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 knave.", "Assume Owen 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 Owen is a knave or Evelyn is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('telling-truth', 2), ('or', ('lying', 1), ('lying', 0)))", "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 3 inhabitants: Isabella, Matthew, and Evelyn. Isabella stated, \"Evelyn is a knave or Matthew is a knave\". \"Evelyn is a knight,\" Matthew claimed. Evelyn stated, \"If Isabella is a knave then Evelyn is a knight\". So who is a knight and who is a knave?", "names": ["Isabella", "Matthew", "Evelyn"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Isabella is a knave, Matthew is a knight, and Evelyn is a knight.", "solution_text_format": "(1) Isabella is a knave\n(2) Matthew is a knight\n(3) 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 Isabella is a knight. No contradiction is found in their claim that Evelyn is a knave or Matthew is a knave.", "Assume Evelyn is a knight. No contradiction is found in their claim that If Isabella is a knave then Evelyn is a knight.", "Matthew cannot be a knight, because this would contradict the claim of Isabella that Evelyn is a knave or Matthew is a knave.", "Matthew 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 Matthew, so let us go back and reconsider Evelyn.", "Evelyn cannot be a knave, because this would contradict the false claim of their own that If Isabella is a knave then Evelyn is a knight.", "We have exhausted all possibilities for Evelyn, so let us go back and reconsider Isabella.", "Assume Isabella is a knave. No contradiction is found in their false claim that Evelyn is a knave or Matthew is a knave.", "Assume Evelyn is a knight. No contradiction is found in their claim that If Isabella is a knave then Evelyn is a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that Evelyn is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 2), ('lying', 1)), ('telling-truth', 2), ('->', ('lying', 0), ('telling-truth', 2)))", "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 3 inhabitants: William, Avery, and Henry. \"Henry is not a knight\" - William. Avery told you that Henry is a knave and Avery is a knight. Henry said that William is a knave if and only if Henry is a knight. So who is a knight and who is a knave?", "names": ["William", "Avery", "Henry"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "William is a knave, Avery is a knave, and Henry is a knight.", "solution_text_format": "(1) William is a knave\n(2) Avery is a knave\n(3) 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 Henry is not a knight.", "Henry cannot be a knight, because this would contradict the claim of William that Henry is not a knight.", "Henry cannot be a knave, because this would contradict the false claim of their own that William 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 William.", "Assume William is a knave. No contradiction is found in their false claim that Henry is not a knight.", "Assume Henry is a knight. No contradiction is found in their claim that William is a knave if and only if Henry is a knight.", "Avery cannot be a knight, because this would contradict the claim of their own that Henry is a knave and Avery is a knight.", "Assume Avery is a knave. No contradiction is found in their false claim that Henry is a knave and Avery is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 2)), ('and', ('lying', 2), ('telling-truth', 1)), ('<=>', ('lying', 0), ('telling-truth', 2)))", "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 3 inhabitants: Luke, Sophia, and Daniel. Luke remarked, \"Luke is a knight or Daniel is a knight\". \"If Luke is a knave then Daniel is a knave,\" Sophia mentioned. Daniel said that Sophia is not a knave. So who is a knight and who is a knave?", "names": ["Luke", "Sophia", "Daniel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Luke is a knight, Sophia is a knight, and Daniel is a knight.", "solution_text_format": "(1) Luke is a knight\n(2) Sophia is a knight\n(3) 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 Luke is a knight or Daniel is a knight.", "Assume Daniel 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 If Luke is a knave then Daniel is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 0), ('telling-truth', 2)), ('->', ('lying', 0), ('lying', 2)), ('not', ('lying', 1)))", "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 3 inhabitants: Jack, Olivia, and Jacob. Jack noted, \"Jack is a knight if and only if Jacob is a knave\". Olivia told you that Jacob is a knave if and only if Jack is a knight. Jacob commented, \"Jack is not a knave\". So who is a knight and who is a knave?", "names": ["Jack", "Olivia", "Jacob"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false], "solution_text": "Jack is a knave, Olivia is a knave, and Jacob is a knave.", "solution_text_format": "(1) Jack is a knave\n(2) Olivia is a knave\n(3) 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 Jack is a knight. No contradiction is found in their claim that Jack is a knight if and only if Jacob is a knave.", "Jacob cannot be a knight, because this would contradict the claim of Jack that Jack is a knight if and only if Jacob is a knave.", "Jacob cannot be a knave, because this would contradict the false claim of their own that Jack is not a knave.", "We have exhausted all possibilities for Jacob, 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 Jacob is a knave.", "Jacob cannot be a knight, because this would contradict the false claim of Jack that Jack 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 Jack is not a knave.", "Olivia cannot be a knight, because this would contradict the claim of their own that Jacob is a knave if and only if Jack is a knight.", "Assume Olivia is a knave. No contradiction is found in their false claim that Jacob is a knave if and only if Jack is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 0), ('lying', 2)), ('<=>', ('lying', 2), ('telling-truth', 0)), ('not', ('lying', 0)))", "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 3 inhabitants: Ava, Ella, and Jack. According to Ava, \"If Ella is a knave then Ava is a knight\". \"If Ella is a knight then Jack is a knight,\" Ella declared. \"If Ella is a knave then Jack is a knight\" - Jack. So who is a knight and who is a knave?", "names": ["Ava", "Ella", "Jack"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Ava is a knight, Ella is a knight, and Jack is a knight.", "solution_text_format": "(1) Ava is a knight\n(2) Ella is a knight\n(3) 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 Ava is a knight. No contradiction is found in their claim that If Ella is a knave then Ava is a knight.", "Assume Ella is a knight. No contradiction is found in their claim that If Ella is a knight then Jack is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that If Ella is a knave then Jack is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 1), ('telling-truth', 0)), ('->', ('telling-truth', 1), ('telling-truth', 2)), ('->', ('lying', 1), ('telling-truth', 2)))", "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 3 inhabitants: Jackson, William, and David. Jackson told you that William is not a knight. William told you that David is a knave if and only if Jackson is a knave. David asserted: \"William is a knave\". So who is a knight and who is a knave?", "names": ["Jackson", "William", "David"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Jackson is a knave, William is a knight, and David is a knave.", "solution_text_format": "(1) Jackson is a knave\n(2) William is a knight\n(3) 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 Jackson 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 Jackson that William is not a knight.", "Assume William is a knave. No contradiction is found in their false claim that David is a knave if and only if Jackson is a knave.", "David cannot be a knight, because this would contradict the false claim of William that David is a knave if and only if Jackson is a knave.", "David 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 David and William, so let us go back and reconsider Jackson.", "Assume Jackson 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 David is a knave if and only if Jackson is a knave.", "David cannot be a knight, because this would contradict the claim of William that David is a knave if and only if Jackson is a knave.", "Assume David 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', ('telling-truth', 1)), ('<=>', ('lying', 2), ('lying', 0)), ('lying', 1))", "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 3 inhabitants: Henry, Matthew, and Luke. Henry was heard saying, \"Matthew is a knight or Luke is a knave\". \"Matthew is a knight or Henry is a knight\" - Matthew. Luke noted, \"Henry is a knight if and only if Matthew is a knave\". So who is a knight and who is a knave?", "names": ["Henry", "Matthew", "Luke"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Henry is a knight, Matthew is a knight, and Luke is a knave.", "solution_text_format": "(1) Henry is a knight\n(2) Matthew is a knight\n(3) 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 Henry is a knight. No contradiction is found in their claim that Matthew is a knight or Luke is a knave.", "Assume Matthew is a knight. No contradiction is found in their claim that Matthew is a knight or Henry is a knight.", "Luke cannot be a knight, because this would contradict the claim of their own that Henry is a knight if and only if Matthew is a knave.", "Assume Luke is a knave. No contradiction is found in their false claim that Henry is a knight if and only if Matthew is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 1), ('lying', 2)), ('or', ('telling-truth', 1), ('telling-truth', 0)), ('<=>', ('telling-truth', 0), ('lying', 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 3 inhabitants: Riley, Matthew, and Ethan. Riley told you that Ethan is not a knave. \"Riley is a knave,\" Matthew claimed. Ethan commented, \"Riley is a knave and Ethan is a knight\". So who is a knight and who is a knave?", "names": ["Riley", "Matthew", "Ethan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Riley is a knave, Matthew is a knight, and Ethan is a knave.", "solution_text_format": "(1) Riley is a knave\n(2) Matthew is a knight\n(3) 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 Ethan is not a knave.", "Ethan cannot be a knight, because this would contradict the claim of their own that Riley is a knave and Ethan is a knight.", "Ethan cannot be a knave, because this would contradict the claim of Riley that Ethan is not a knave.", "We have exhausted all possibilities for 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 not a knave.", "Ethan cannot be a knight, because this would contradict the false claim of Riley that Ethan is not a knave.", "Assume Ethan is a knave. No contradiction is found in their false claim that Riley is a knave and Ethan is a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that Riley is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 2)), ('lying', 0), ('and', ('lying', 0), ('telling-truth', 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 3 inhabitants: Jack, Alexander, and Amelia. Jack noted, \"Amelia is not a knave\". Alexander asserted: \"If Jack is a knight then Alexander is a knight\". \"If Alexander is a knave then Jack is a knave,\" Amelia claimed. So who is a knight and who is a knave?", "names": ["Jack", "Alexander", "Amelia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Jack is a knight, Alexander is a knight, and Amelia is a knight.", "solution_text_format": "(1) Jack is a knight\n(2) Alexander is a knight\n(3) 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 Jack 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 Alexander is a knave then Jack is a knave.", "Assume Alexander is a knight. No contradiction is found in their claim that If Jack is a knight then Alexander is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 2)), ('->', ('telling-truth', 0), ('telling-truth', 1)), ('->', ('lying', 1), ('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 3 inhabitants: Alexander, Amelia, and Henry. Alexander expressed that Henry is a knave or Henry is a knight. Amelia was heard saying, \"Henry is a knave if and only if Alexander is a knight\". Henry asserted: \"Alexander is not a knight\". So who is a knight and who is a knave?", "names": ["Alexander", "Amelia", "Henry"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Alexander is a knight, Amelia is a knight, and Henry is a knave.", "solution_text_format": "(1) Alexander is a knight\n(2) Amelia is a knight\n(3) 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 Alexander is a knight. No contradiction is found in their claim that Henry is a knave or Henry is a knight.", "Henry cannot be a knight, because this would contradict the claim of their own that Alexander is not a knight.", "Assume Henry is a knave. No contradiction is found in their false claim that Alexander is not a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that Henry is a knave if and only if Alexander is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 2), ('telling-truth', 2)), ('<=>', ('lying', 2), ('telling-truth', 0)), ('not', ('telling-truth', 0)))", "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 3 inhabitants: Ava, Charlotte, and Noah. Ava was heard saying, \"Ava is a knight if and only if Noah is a knight\". Charlotte was heard saying, \"Noah is a knight or Ava is a knave\". In a statement by Noah: \"Ava is a knave if and only if Charlotte is a knave\". So who is a knight and who is a knave?", "names": ["Ava", "Charlotte", "Noah"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Ava is a knight, Charlotte is a knight, and Noah is a knight.", "solution_text_format": "(1) Ava is a knight\n(2) Charlotte is a knight\n(3) 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 Ava is a knight. No contradiction is found in their claim that Ava is a knight if and only if Noah is a knight.", "Assume Noah is a knight. No contradiction is found in their claim that Ava is a knave if and only if Charlotte is a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that Noah is a knight or Ava is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 0), ('telling-truth', 2)), ('or', ('telling-truth', 2), ('lying', 0)), ('<=>', ('lying', 0), ('lying', 1)))", "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 3 inhabitants: Isabella, Jackson, and Joseph. \"Joseph is not a knave\" - Isabella. Jackson asserted: \"Joseph is not a knave\". Joseph was heard saying, \"Isabella is a knight if and only if Joseph is a knight\". So who is a knight and who is a knave?", "names": ["Isabella", "Jackson", "Joseph"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Isabella is a knight, Jackson is a knight, and Joseph is a knight.", "solution_text_format": "(1) Isabella is a knight\n(2) Jackson is a knight\n(3) 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 Isabella 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 Isabella is a knight if and only if Joseph is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that Joseph is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 2)), ('not', ('lying', 2)), ('<=>', ('telling-truth', 0), ('telling-truth', 2)))", "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 3 inhabitants: Ella, Sebastian, and Grace. In Ella's words: \"Sebastian is a knave or Ella is a knight\". In Sebastian's words: \"Grace is a knight if and only if Ella is a knave\". In Grace's words: \"Sebastian is not a knave\". So who is a knight and who is a knave?", "names": ["Ella", "Sebastian", "Grace"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Ella is a knave, Sebastian is a knight, and Grace is a knight.", "solution_text_format": "(1) Ella is a knave\n(2) Sebastian is a knight\n(3) 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 Sebastian is a knave or Ella is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Grace is a knight if and only if Ella is a knave.", "Grace cannot be a knight, because this would contradict the claim of Sebastian that Grace is a knight if and only if Ella is a knave.", "Grace 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 Grace, 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 knight if and only if Ella is a knave.", "Grace cannot be a knight, because this would contradict the claim of their own that Sebastian is not a knave.", "Grace cannot be a knave, because this would contradict the false claim of Sebastian that Grace is a knight if and only if Ella is a knave.", "We have exhausted all possibilities for Grace and Sebastian, so let us go back and reconsider Ella.", "Assume Ella is a knave. No contradiction is found in their false claim that Sebastian is a knave or Ella is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Grace is a knight if and only if Ella is a knave.", "Assume Grace 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": "(('or', ('lying', 1), ('telling-truth', 0)), ('<=>', ('telling-truth', 2), ('lying', 0)), ('not', ('lying', 1)))", "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 3 inhabitants: Jacob, Michael, and Oliver. Jacob asserted: \"Michael is a knave if and only if Oliver is a knight\". Michael commented, \"Jacob is a knave or Oliver is a knight\". Oliver commented, \"Michael is a knight if and only if Jacob is a knave\". So who is a knight and who is a knave?", "names": ["Jacob", "Michael", "Oliver"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Jacob is a knave, Michael is a knight, and Oliver is a knight.", "solution_text_format": "(1) Jacob is a knave\n(2) Michael is a knight\n(3) 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 Jacob is a knight. No contradiction is found in their claim that Michael is a knave if and only if Oliver is a knight.", "Assume Michael is a knight. No contradiction is found in their claim that Jacob is a knave or Oliver is a knight.", "Oliver cannot be a knight, because this would contradict the claim of Jacob that Michael is a knave if and only if Oliver is a knight.", "Oliver cannot be a knave, because this would contradict the claim of Michael that Jacob is a knave or 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 Jacob is a knave or Oliver is a knight.", "Oliver cannot be a knight, because this would contradict the false claim of Michael that Jacob is a knave or Oliver is a knight.", "Oliver cannot be a knave, because this would contradict the claim of Jacob that Michael is a knave if and only if Oliver is a knight.", "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 knave if and only if Oliver is a knight.", "Assume Michael is a knight. No contradiction is found in their claim that Jacob is a knave or Oliver is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that Michael is a knight if and only if Jacob is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('telling-truth', 2)), ('or', ('lying', 0), ('telling-truth', 2)), ('<=>', ('telling-truth', 1), ('lying', 0)))", "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 3 inhabitants: Isabella, Olivia, and Jack. Isabella asserted: \"Jack is a knave and Olivia is a knave\". Olivia commented, \"Jack is a knight\". \"Isabella is a knight if and only if Olivia is a knave,\" Jack mentioned. So who is a knight and who is a knave?", "names": ["Isabella", "Olivia", "Jack"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Isabella is a knave, Olivia is a knight, and Jack is a knight.", "solution_text_format": "(1) Isabella is a knave\n(2) Olivia is a knight\n(3) 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 Isabella is a knight. No contradiction is found in their claim that Jack is a knave and Olivia is a knave.", "Jack cannot be a knight, because this would contradict the claim of Isabella that Jack is a knave and Olivia is a knave.", "Assume Jack is a knave. No contradiction is found in their false claim that Isabella is a knight if and only if Olivia is a knave.", "Olivia cannot be a knight, because this would contradict the claim of Isabella that Jack is a knave and Olivia is a knave.", "Olivia cannot be a knave, because this would contradict the false claim of Jack that Isabella is a knight if and only if Olivia is a knave.", "We have exhausted all possibilities for Olivia and Jack, so let us go back and reconsider Isabella.", "Assume Isabella is a knave. No contradiction is found in their false claim that Jack is a knave and Olivia is a knave.", "Assume Jack is a knight. No contradiction is found in their claim that Isabella is a knight if and only if Olivia is a knave.", "Assume Olivia 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', 2), ('lying', 1)), ('telling-truth', 2), ('<=>', ('telling-truth', 0), ('lying', 1)))", "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 3 inhabitants: William, Sebastian, and Elizabeth. William expressed that Sebastian is not a knight. Sebastian expressed that William is a knight or Sebastian is a knight. Elizabeth said, \"If Sebastian is a knave then William is a knave.\" So who is a knight and who is a knave?", "names": ["William", "Sebastian", "Elizabeth"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "William is a knave, Sebastian is a knight, and Elizabeth is a knight.", "solution_text_format": "(1) William is a knave\n(2) Sebastian is a knight\n(3) 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 William 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 William that Sebastian is not a knight.", "Sebastian cannot be a knave, because this would contradict the false claim of their own that William is a knight or Sebastian is a knight.", "We have exhausted all possibilities for Sebastian, so let us go back and reconsider William.", "Assume William 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 William is a knight or Sebastian is a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that If Sebastian is a knave then William is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('or', ('telling-truth', 0), ('telling-truth', 1)), ('->', ('lying', 1), ('lying', 0)))", "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 3 inhabitants: Penelope, William, and Samuel. Penelope stated, \"Penelope is a knight or Samuel is a knight\". According to William, \"Penelope is a knight and Samuel is a knave\". Samuel commented, \"Penelope is a knight or Penelope is a knave\". So who is a knight and who is a knave?", "names": ["Penelope", "William", "Samuel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Penelope is a knight, William is a knave, and Samuel is a knight.", "solution_text_format": "(1) Penelope is a knight\n(2) William is a knave\n(3) 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 Penelope is a knight. No contradiction is found in their claim that Penelope 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 or Penelope is a knave.", "William cannot be a knight, because this would contradict the claim of their own that Penelope is a knight and Samuel is a knave.", "Assume William is a knave. No contradiction is found in their false claim that Penelope is a knight and Samuel is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 0), ('telling-truth', 2)), ('and', ('telling-truth', 0), ('lying', 2)), ('or', ('telling-truth', 0), ('lying', 0)))", "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 3 inhabitants: Noah, Henry, and Owen. Noah expressed that If Noah is a knight then Henry is a knight. Henry stated, \"Owen is a knave and Henry is a knight\". In a statement by Owen: \"Noah is not a knight\". So who is a knight and who is a knave?", "names": ["Noah", "Henry", "Owen"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Noah is a knight, Henry is a knight, and Owen is a knave.", "solution_text_format": "(1) Noah is a knight\n(2) Henry is a knight\n(3) 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 Noah is a knight. No contradiction is found in their claim that If Noah is a knight then Henry is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that Owen is a knave and Henry is a knight.", "Owen cannot be a knight, because this would contradict the claim of Henry that Owen is a knave and Henry is a knight.", "Assume Owen is a knave. No contradiction is found in their false claim that Noah is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 0), ('telling-truth', 1)), ('and', ('lying', 2), ('telling-truth', 1)), ('not', ('telling-truth', 0)))", "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 3 inhabitants: Joseph, Avery, and Henry. Joseph commented, \"Avery is not a knight\". Avery asserted: \"Henry is a knave and Joseph is a knave\". Henry asserted: \"If Avery is a knight then Joseph is a knave\". So who is a knight and who is a knave?", "names": ["Joseph", "Avery", "Henry"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Joseph is a knight, Avery is a knave, and Henry is a knight.", "solution_text_format": "(1) Joseph is a knight\n(2) Avery is a knave\n(3) 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 Joseph 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 Joseph that Avery is not a knight.", "Assume Avery is a knave. No contradiction is found in their false claim that Henry is a knave and Joseph is a knave.", "Assume Henry is a knight. No contradiction is found in their claim that If Avery is a knight then Joseph is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('and', ('lying', 2), ('lying', 0)), ('->', ('telling-truth', 1), ('lying', 0)))", "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 3 inhabitants: Joseph, Henry, and Benjamin. As Joseph put it, \"Benjamin is a knight\". Henry commented, \"If Benjamin is a knight then Joseph is a knight\". In a statement by Benjamin: \"Henry is not a knave\". So who is a knight and who is a knave?", "names": ["Joseph", "Henry", "Benjamin"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Joseph is a knight, Henry is a knight, and Benjamin is a knight.", "solution_text_format": "(1) Joseph is a knight\n(2) Henry is a knight\n(3) 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 Joseph 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 Henry is not a knave.", "Assume Henry is a knight. No contradiction is found in their claim that If Benjamin is a knight then Joseph is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 2), ('->', ('telling-truth', 2), ('telling-truth', 0)), ('not', ('lying', 1)))", "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 3 inhabitants: Jack, Benjamin, and Amelia. In Jack's words: \"If Benjamin is a knave then Benjamin is a knight\". Benjamin asserted: \"Jack is a knave if and only if Jack is a knight\". \"Benjamin is a knave or Amelia is a knight,\" Amelia mentioned. So who is a knight and who is a knave?", "names": ["Jack", "Benjamin", "Amelia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Jack is a knave, Benjamin is a knave, and Amelia is a knight.", "solution_text_format": "(1) Jack is a knave\n(2) Benjamin is a knave\n(3) 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 Jack is a knight. No contradiction is found in their claim that If Benjamin is a knave then Benjamin is a knight.", "Benjamin cannot be a knight, because this would contradict the claim of their own that Jack is a knave if and only if Jack is a knight.", "Benjamin cannot be a knave, because this would contradict the claim of Jack that If Benjamin is a knave then Benjamin is a knight.", "We have exhausted all possibilities for Benjamin, so let us go back and reconsider Jack.", "Assume Jack is a knave. No contradiction is found in their false claim that If Benjamin is a knave then Benjamin is a knight.", "Benjamin cannot be a knight, because this would contradict the false claim of Jack that If Benjamin is a knave then Benjamin is a knight.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Jack is a knave if and only if Jack is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that Benjamin is a knave or Amelia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 1), ('telling-truth', 1)), ('<=>', ('lying', 0), ('telling-truth', 0)), ('or', ('lying', 1), ('telling-truth', 2)))", "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 3 inhabitants: Abigail, Lily, and Logan. As Abigail put it, \"Logan is a knave if and only if Abigail is a knight\". According to Lily, \"Abigail is a knave\". Logan told you that Lily is a knight if and only if Logan is a knight. So who is a knight and who is a knave?", "names": ["Abigail", "Lily", "Logan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Abigail is a knave, Lily is a knight, and Logan is a knave.", "solution_text_format": "(1) Abigail is a knave\n(2) Lily is a knight\n(3) 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 Abigail is a knight. No contradiction is found in their claim that Logan is a knave if and only if Abigail is a knight.", "Logan cannot be a knight, because this would contradict the claim of Abigail that Logan is a knave if and only if Abigail is a knight.", "Assume Logan is a knave. No contradiction is found in their false claim that Lily is a knight if and only if Logan is a knight.", "Lily cannot be a knight, because this would contradict the claim of their own that Abigail is a knave.", "Lily cannot be a knave, because this would contradict the false claim of Logan that Lily is a knight if and only if Logan is a knight.", "We have exhausted all possibilities for Lily and Logan, so let us go back and reconsider Abigail.", "Assume Abigail is a knave. No contradiction is found in their false claim that Logan is a knave if and only if Abigail is a knight.", "Logan cannot be a knight, because this would contradict the false claim of Abigail that Logan is a knave if and only if Abigail is a knight.", "Assume Logan is a knave. No contradiction is found in their false claim that Lily is a knight if and only if Logan is a knight.", "Assume Lily is a knight. No contradiction is found in their claim that Abigail is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 2), ('telling-truth', 0)), ('lying', 0), ('<=>', ('telling-truth', 1), ('telling-truth', 2)))", "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 3 inhabitants: Jack, Benjamin, and Zoey. Jack noted, \"Zoey is a knight\". \"Benjamin is a knight or Zoey is a knave\" - Benjamin. Zoey said, \"If Jack is a knight then Benjamin is a knave.\" So who is a knight and who is a knave?", "names": ["Jack", "Benjamin", "Zoey"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Jack is a knight, Benjamin is a knave, and Zoey is a knight.", "solution_text_format": "(1) Jack is a knight\n(2) Benjamin is a knave\n(3) 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 Jack 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 If Jack is a knight then Benjamin is a knave.", "Benjamin cannot be a knight, because this would contradict the claim of Zoey that If Jack is a knight then Benjamin is a knave.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Benjamin is a knight or Zoey is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 2), ('or', ('telling-truth', 1), ('lying', 2)), ('->', ('telling-truth', 0), ('lying', 1)))", "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 3 inhabitants: Isabella, Alexander, and David. \"David is a knave and Alexander is a knight\" - Isabella. Alexander remarked, \"If Isabella is a knight then David is a knight\". David commented, \"David is a knight or Alexander is a knight\". So who is a knight and who is a knave?", "names": ["Isabella", "Alexander", "David"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Isabella is a knave, Alexander is a knight, and David is a knight.", "solution_text_format": "(1) Isabella is a knave\n(2) Alexander is a knight\n(3) 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 Isabella is a knight. No contradiction is found in their claim that David is a knave and Alexander is a knight.", "David cannot be a knight, because this would contradict the claim of Isabella that David is a knave and Alexander is a knight.", "Assume David is a knave. No contradiction is found in their false claim that David is a knight or Alexander is a knight.", "Alexander cannot be a knight, because this would contradict the claim of their own that If Isabella is a knight then David is a knight.", "Alexander cannot be a knave, because this would contradict the claim of Isabella that David is a knave and Alexander is a knight.", "We have exhausted all possibilities for Alexander and David, so let us go back and reconsider Isabella.", "Assume Isabella is a knave. No contradiction is found in their false claim that David is a knave and Alexander is a knight.", "Assume David is a knight. No contradiction is found in their claim that David is a knight or Alexander is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that If Isabella is a knight then David is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('telling-truth', 1)), ('->', ('telling-truth', 0), ('telling-truth', 2)), ('or', ('telling-truth', 2), ('telling-truth', 1)))", "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 3 inhabitants: Jack, Samuel, and Benjamin. \"Jack is a knight if and only if Samuel is a knight,\" Jack declared. Samuel said that Benjamin is a knave and Samuel is a knight. Benjamin was heard saying, \"Benjamin is a knight if and only if Jack is a knight\". So who is a knight and who is a knave?", "names": ["Jack", "Samuel", "Benjamin"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Jack is a knight, Samuel is a knight, and Benjamin is a knave.", "solution_text_format": "(1) Jack is a knight\n(2) Samuel is a knight\n(3) 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 Jack is a knight if and only if Samuel is a knight.", "Assume Samuel is a knight. No contradiction is found in their claim that Benjamin is a knave and Samuel is a knight.", "Benjamin cannot be a knight, because this would contradict the claim of Samuel that Benjamin is a knave and Samuel is a knight.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Benjamin is a knight if and only if Jack is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 0), ('telling-truth', 1)), ('and', ('lying', 2), ('telling-truth', 1)), ('<=>', ('telling-truth', 2), ('telling-truth', 0)))", "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 3 inhabitants: Chloe, Henry, and Mia. \"Mia is a knave and Henry is a knight,\" Chloe claimed. In Henry's words: \"Mia is a knave\". \"Henry is a knave if and only if Henry is a knight,\" Mia mentioned. So who is a knight and who is a knave?", "names": ["Chloe", "Henry", "Mia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Chloe is a knight, Henry is a knight, and Mia is a knave.", "solution_text_format": "(1) Chloe is a knight\n(2) Henry is a knight\n(3) 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 Chloe is a knight. No contradiction is found in their claim that Mia is a knave and Henry is a knight.", "Mia cannot be a knight, because this would contradict the claim of Chloe that Mia is a knave and Henry is a knight.", "Assume Mia 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 Henry is a knight. No contradiction is found in their claim that Mia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('telling-truth', 1)), ('lying', 2), ('<=>', ('lying', 1), ('telling-truth', 1)))", "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 3 inhabitants: Emily, David, and Riley. Emily noted, \"Riley is a knight or David is a knight\". David asserted: \"Emily is a knave or David is a knight\". Riley stated, \"David is not a knave\". So who is a knight and who is a knave?", "names": ["Emily", "David", "Riley"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Emily is a knight, David is a knight, and Riley is a knight.", "solution_text_format": "(1) Emily is a knight\n(2) David is a knight\n(3) 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 Emily is a knight. No contradiction is found in their claim that Riley is a knight or David is a knight.", "Assume Riley 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 Emily is a knave or David is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 2), ('telling-truth', 1)), ('or', ('lying', 0), ('telling-truth', 1)), ('not', ('lying', 1)))", "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 3 inhabitants: Lucas, Riley, and Liam. Lucas said, \"Lucas is a knight and Riley is a knight.\" Riley expressed that If Lucas is a knight then Lucas is a knave. In Liam's words: \"Riley is a knave if and only if Lucas is a knight\". So who is a knight and who is a knave?", "names": ["Lucas", "Riley", "Liam"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Lucas is a knave, Riley is a knight, and Liam is a knight.", "solution_text_format": "(1) Lucas is a knave\n(2) Riley is a knight\n(3) 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 and Riley is a knight.", "Riley cannot be a knight, because this would contradict the claim of their own that If Lucas is a knight then Lucas is a knave.", "Riley cannot be a knave, because this would contradict the claim of Lucas that Lucas is a knight and Riley is a knight.", "We have exhausted all possibilities for Riley, so let us go back and reconsider Lucas.", "Assume Lucas is a knave. No contradiction is found in their false claim that Lucas is a knight and Riley is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that If Lucas is a knight then Lucas is a knave.", "Assume Liam is a knight. No contradiction is found in their claim that Riley is a knave if and only if Lucas is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 0), ('telling-truth', 1)), ('->', ('telling-truth', 0), ('lying', 0)), ('<=>', ('lying', 1), ('telling-truth', 0)))", "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 3 inhabitants: Grace, Logan, and Aria. Grace said that Logan is not a knave. Logan said that If Aria is a knave then Grace is a knave. \"If Grace is a knight then Aria is a knight,\" Aria mentioned. So who is a knight and who is a knave?", "names": ["Grace", "Logan", "Aria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Grace is a knight, Logan is a knight, and Aria is a knight.", "solution_text_format": "(1) Grace is a knight\n(2) Logan is a knight\n(3) 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 Logan is not a knave.", "Assume Logan is a knight. No contradiction is found in their claim that If Aria is a knave then Grace is a knave.", "Assume Aria is a knight. No contradiction is found in their claim that If Grace is a knight then Aria is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 1)), ('->', ('lying', 2), ('lying', 0)), ('->', ('telling-truth', 0), ('telling-truth', 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 3 inhabitants: Jacob, Oliver, and Amelia. Jacob said, \"Oliver is not a knight.\" Oliver told you that Amelia is a knave. \"Amelia is a knight or Oliver is a knight,\" Amelia claimed. So who is a knight and who is a knave?", "names": ["Jacob", "Oliver", "Amelia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Jacob is a knight, Oliver is a knave, and Amelia is a knight.", "solution_text_format": "(1) Jacob is a knight\n(2) Oliver is a knave\n(3) 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 Jacob 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 Jacob that Oliver is not a knight.", "Assume Oliver is a knave. No contradiction is found in their false claim that Amelia is a knave.", "Assume Amelia is a knight. No contradiction is found in their claim that Amelia is a knight or Oliver is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('lying', 2), ('or', ('telling-truth', 2), ('telling-truth', 1)))", "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 3 inhabitants: Matthew, Ella, and Emma. As Matthew put it, \"Ella is a knave and Emma is a knight\". Ella expressed that Matthew is a knight or Ella is a knight. Emma asserted: \"Matthew is a knave\". So who is a knight and who is a knave?", "names": ["Matthew", "Ella", "Emma"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Matthew is a knave, Ella is a knight, and Emma is a knight.", "solution_text_format": "(1) Matthew is a knave\n(2) Ella is a knight\n(3) 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 Ella is a knave and Emma is a knight.", "Ella cannot be a knight, because this would contradict the claim of Matthew that Ella is a knave and Emma is a knight.", "Ella cannot be a knave, because this would contradict the false claim of their own that Matthew is a knight or Ella is a knight.", "We have exhausted all possibilities for 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 and Emma is a knight.", "Assume Ella is a knight. No contradiction is found in their claim that Matthew is a knight or Ella is a knight.", "Assume Emma is a knight. No contradiction is found in their claim that Matthew is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('telling-truth', 2)), ('or', ('telling-truth', 0), ('telling-truth', 1)), ('lying', 0))", "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 3 inhabitants: Michael, Oliver, and William. According to Michael, \"William is a knave or Oliver is a knave\". Oliver said that If Michael is a knave then William is a knave. \"Oliver is a knight if and only if William is a knight,\" William claimed. So who is a knight and who is a knave?", "names": ["Michael", "Oliver", "William"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Michael is a knight, Oliver is a knight, and William is a knave.", "solution_text_format": "(1) Michael is a knight\n(2) Oliver is a knight\n(3) 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 Michael is a knight. No contradiction is found in their claim that William is a knave or Oliver is a knave.", "Assume William is a knight. No contradiction is found in their claim that Oliver is a knight if and only if William is a knight.", "Oliver cannot be a knight, because this would contradict the claim of Michael that William is a knave or Oliver is a knave.", "Oliver cannot be a knave, because this would contradict the false claim of their own that If Michael is a knave then William is a knave.", "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 Oliver is a knight if and only if William is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that If Michael is a knave then William is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 2), ('lying', 1)), ('->', ('lying', 0), ('lying', 2)), ('<=>', ('telling-truth', 1), ('telling-truth', 2)))", "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 3 inhabitants: Logan, Emily, and Daniel. \"Logan is a knight,\" Logan mentioned. \"Daniel is a knight,\" Emily claimed. \"If Daniel is a knight then Logan is a knave,\" Daniel claimed. So who is a knight and who is a knave?", "names": ["Logan", "Emily", "Daniel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Logan is a knave, Emily is a knight, and Daniel is a knight.", "solution_text_format": "(1) Logan is a knave\n(2) Emily is a knight\n(3) 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 Logan is a knight. No contradiction is found in their claim that Logan is a knight.", "Assume Emily 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 If Daniel is a knight then Logan is a knave.", "Daniel cannot be a knave, because this would contradict the claim of Emily that Daniel is a knight.", "We have exhausted all possibilities for Daniel, so let us go back and reconsider Emily.", "Assume Emily 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 Emily that Daniel is a knight.", "Daniel cannot be a knave, because this would contradict the false claim of their own that If Daniel is a knight then Logan is a knave.", "We have exhausted all possibilities for Daniel and Emily, 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.", "Assume Emily 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 Daniel is a knight then Logan is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 0), ('telling-truth', 2), ('->', ('telling-truth', 2), ('lying', 0)))", "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 3 inhabitants: Ella, Mia, and Abigail. \"Mia is a knight or Mia is a knave\" - Ella. Mia asserted: \"Mia is a knight and Abigail is a knave\". \"Mia is a knave or Ella is a knight,\" Abigail declared. So who is a knight and who is a knave?", "names": ["Ella", "Mia", "Abigail"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Ella is a knight, Mia is a knave, and Abigail is a knight.", "solution_text_format": "(1) Ella is a knight\n(2) Mia is a knave\n(3) 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 Ella 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 Mia is a knight and Abigail is a knave.", "Abigail cannot be a knight, because this would contradict the claim of Mia that Mia is a knight and Abigail is a knave.", "Abigail cannot be a knave, because this would contradict the false claim of their own that Mia is a knave or Ella is a knight.", "We have exhausted all possibilities for Abigail, 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 Abigail is a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that Mia is a knave or Ella is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 1), ('lying', 1)), ('and', ('telling-truth', 1), ('lying', 2)), ('or', ('lying', 1), ('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 3 inhabitants: Samuel, Grace, and Emily. Samuel noted, \"Grace is a knave\". According to Grace, \"Emily is a knight if and only if Samuel is a knight\". \"Samuel is not a knight\" - Emily. So who is a knight and who is a knave?", "names": ["Samuel", "Grace", "Emily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false], "solution_text": "Samuel is a knight, Grace is a knave, and Emily is a knave.", "solution_text_format": "(1) Samuel is a knight\n(2) Grace is a knave\n(3) 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 Samuel 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 Samuel that Grace is a knave.", "Assume Grace is a knave. No contradiction is found in their false claim that Emily is a knight if and only if Samuel is a knight.", "Emily cannot be a knight, because this would contradict the false claim of Grace that Emily is a knight if and only if Samuel is a knight.", "Assume Emily is a knave. No contradiction is found in their false claim that Samuel is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('<=>', ('telling-truth', 2), ('telling-truth', 0)), ('not', ('telling-truth', 0)))", "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 3 inhabitants: Aiden, Emily, and Aurora. \"Aurora is a knave if and only if Aurora is a knight\" - Aiden. As Emily put it, \"Aiden is a knave or Emily is a knight\". \"Aiden is a knave,\" Aurora declared. So who is a knight and who is a knave?", "names": ["Aiden", "Emily", "Aurora"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Aiden is a knave, Emily is a knight, and Aurora is a knight.", "solution_text_format": "(1) Aiden is a knave\n(2) Emily is a knight\n(3) 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": ["Aiden cannot be a knight, because this would contradict the claim of their own that Aurora is a knave if and only if Aurora 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 Aurora is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that Aiden is a knave.", "Assume Emily is a knight. No contradiction is found in their claim that Aiden is a knave or Emily is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 2), ('telling-truth', 2)), ('or', ('lying', 0), ('telling-truth', 1)), ('lying', 0))", "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 3 inhabitants: Harper, Evelyn, and Mia. Harper said, \"Mia is not a knave.\" Evelyn was heard saying, \"Mia is a knave\". According to Mia, \"Harper is a knight and Evelyn is a knight\". So who is a knight and who is a knave?", "names": ["Harper", "Evelyn", "Mia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Harper is a knave, Evelyn is a knight, and Mia is a knave.", "solution_text_format": "(1) Harper is a knave\n(2) Evelyn is a knight\n(3) 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 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 Harper is a knight and Evelyn is a knight.", "Evelyn cannot be a knight, because this would contradict the claim of their own that Mia is a knave.", "Evelyn cannot be a knave, because this would contradict the claim of Mia that Harper is a knight and Evelyn is a knight.", "We have exhausted all possibilities for Evelyn, so let us go back and reconsider Mia.", "Mia cannot be a knave, because this would contradict the claim of Harper that Mia is not a knave.", "We have exhausted all possibilities for Mia, so let us go back and reconsider Harper.", "Assume Harper 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 Harper that Mia is not a knave.", "Assume Mia is a knave. No contradiction is found in their false claim that Harper is a knight and Evelyn is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that Mia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 2)), ('lying', 2), ('and', ('telling-truth', 0), ('telling-truth', 1)))", "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 3 inhabitants: Michael, Ava, and Owen. Michael asserted: \"Ava is not a knight\". \"Owen is a knight or Ava is a knight,\" Ava declared. As Owen put it, \"Michael is a knight if and only if Owen is a knight\". So who is a knight and who is a knave?", "names": ["Michael", "Ava", "Owen"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false], "solution_text": "Michael is a knight, Ava is a knave, and Owen is a knave.", "solution_text_format": "(1) Michael is a knight\n(2) Ava is a knave\n(3) 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 Michael 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 Michael that Ava is not a knight.", "Assume Ava is a knave. No contradiction is found in their false claim that Owen is a knight or Ava is a knight.", "Owen cannot be a knight, because this would contradict the false claim of Ava that Owen is a knight or Ava is a knight.", "Assume Owen is a knave. No contradiction is found in their false claim that Michael is a knight if and only if Owen is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('or', ('telling-truth', 2), ('telling-truth', 1)), ('<=>', ('telling-truth', 0), ('telling-truth', 2)))", "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 3 inhabitants: Charlotte, Isabella, and Liam. \"Liam is a knave or Liam is a knight,\" Charlotte mentioned. \"Liam is not a knave,\" Isabella claimed. \"Charlotte is a knave or Charlotte is a knight,\" Liam mentioned. So who is a knight and who is a knave?", "names": ["Charlotte", "Isabella", "Liam"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Charlotte is a knight, Isabella is a knight, and Liam is a knight.", "solution_text_format": "(1) Charlotte is a knight\n(2) Isabella is a knight\n(3) 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 Charlotte 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 Charlotte is a knave or Charlotte is a knight.", "Assume Isabella 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": "(('or', ('lying', 2), ('telling-truth', 2)), ('not', ('lying', 2)), ('or', ('lying', 0), ('telling-truth', 0)))", "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 3 inhabitants: Isabella, Charlotte, and Avery. Isabella was heard saying, \"Charlotte is not a knight\". As Charlotte put it, \"Avery is a knight if and only if Avery is a knave\". Avery said that Isabella is a knight or Isabella is a knave. So who is a knight and who is a knave?", "names": ["Isabella", "Charlotte", "Avery"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Isabella is a knight, Charlotte is a knave, and Avery is a knight.", "solution_text_format": "(1) Isabella is a knight\n(2) Charlotte is a knave\n(3) 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 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 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 Isabella is a knight or Isabella is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('<=>', ('telling-truth', 2), ('lying', 2)), ('or', ('telling-truth', 0), ('lying', 0)))", "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 3 inhabitants: Ava, Victoria, and Olivia. Ava said that Victoria is not a knave. Victoria noted, \"Ava is a knight if and only if Victoria is a knight\". \"Victoria is not a knight,\" Olivia declared. So who is a knight and who is a knave?", "names": ["Ava", "Victoria", "Olivia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Ava is a knight, Victoria is a knight, and Olivia is a knave.", "solution_text_format": "(1) Ava is a knight\n(2) Victoria is a knight\n(3) 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 Ava 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 knight if and only if Victoria is a knight.", "Olivia cannot be a knight, because this would contradict the claim of their own that Victoria is not a knight.", "Assume Olivia 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)), ('<=>', ('telling-truth', 0), ('telling-truth', 1)), ('not', ('telling-truth', 1)))", "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 3 inhabitants: Matthew, Charlotte, and James. In a statement by Matthew: \"Charlotte is a knave and James is a knight\". \"Matthew is a knight,\" Charlotte claimed. \"Charlotte is a knight\" - James. So who is a knight and who is a knave?", "names": ["Matthew", "Charlotte", "James"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false], "solution_text": "Matthew is a knave, Charlotte is a knave, and James is a knave.", "solution_text_format": "(1) Matthew is a knave\n(2) Charlotte is a knave\n(3) 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 Matthew is a knight. No contradiction is found in their claim that Charlotte is a knave and James is a knight.", "Charlotte cannot be a knight, because this would contradict the claim of Matthew that Charlotte is a knave and James is a knight.", "Charlotte 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 Charlotte, so let us go back and reconsider Matthew.", "Assume Matthew is a knave. No contradiction is found in their false claim that Charlotte is a knave and James is a knight.", "Charlotte cannot be a knight, because this would contradict the claim of their own that Matthew is a knight.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Matthew is a knight.", "James cannot be a knight, because this would contradict the false claim of Matthew that Charlotte is a knave and James is a knight.", "Assume James is a knave. No contradiction is found in their false claim that Charlotte is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('telling-truth', 2)), ('telling-truth', 0), ('telling-truth', 1))", "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 3 inhabitants: Mia, Alexander, and Owen. Mia stated, \"Owen is a knight\". Alexander said, \"Owen is a knave if and only if Alexander is a knight.\" \"Alexander is a knave\" - Owen. So who is a knight and who is a knave?", "names": ["Mia", "Alexander", "Owen"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Mia is a knave, Alexander is a knight, and Owen is a knave.", "solution_text_format": "(1) Mia is a knave\n(2) Alexander is a knight\n(3) 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 Mia 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 Alexander is a knave.", "Alexander cannot be a knight, because this would contradict the claim of their own that Owen is a knave if and only if Alexander is a knight.", "Alexander cannot be a knave, because this would contradict the false claim of their own that Owen is a knave if and only if Alexander is a knight.", "We have exhausted all possibilities for Alexander, so let us go back and reconsider Owen.", "Owen cannot be a knave, because this would contradict the claim of Mia that 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 Owen is a knight.", "Owen cannot be a knight, because this would contradict the false claim of Mia that Owen is a knight.", "Assume Owen 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 Owen is a knave if and only if Alexander is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 2), ('<=>', ('lying', 2), ('telling-truth', 1)), ('lying', 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 3 inhabitants: Elizabeth, Owen, and Scarlett. Elizabeth asserted: \"Scarlett is a knight\". According to Owen, \"Scarlett is not a knight\". Scarlett told you that Owen is a knight if and only if Elizabeth is a knave. So who is a knight and who is a knave?", "names": ["Elizabeth", "Owen", "Scarlett"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Elizabeth is a knight, Owen is a knave, and Scarlett is a knight.", "solution_text_format": "(1) Elizabeth is a knight\n(2) Owen is a knave\n(3) 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 Elizabeth 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 Owen is a knight if and only if Elizabeth is a knave.", "Owen cannot be a knight, because this would contradict the claim of their own that Scarlett is not a knight.", "Assume Owen is a knave. No contradiction is found in their false claim that Scarlett is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 2), ('not', ('telling-truth', 2)), ('<=>', ('telling-truth', 1), ('lying', 0)))", "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 3 inhabitants: Lily, Emily, and Mason. Lily stated, \"Mason is a knight or Lily is a knight\". Emily stated, \"Mason is a knight and Lily is a knight\". \"Lily is not a knight,\" Mason declared. So who is a knight and who is a knave?", "names": ["Lily", "Emily", "Mason"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false], "solution_text": "Lily is a knight, Emily is a knave, and Mason is a knave.", "solution_text_format": "(1) Lily is a knight\n(2) Emily is a knave\n(3) 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 Lily is a knight. No contradiction is found in their claim that Mason is a knight or Lily is a knight.", "Mason cannot be a knight, because this would contradict the claim of their own that Lily is not a knight.", "Assume Mason is a knave. No contradiction is found in their false claim that Lily is not a knight.", "Emily cannot be a knight, because this would contradict the claim of their own that Mason is a knight and Lily is a knight.", "Assume Emily is a knave. No contradiction is found in their false claim that Mason is a knight and Lily is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 2), ('telling-truth', 0)), ('and', ('telling-truth', 2), ('telling-truth', 0)), ('not', ('telling-truth', 0)))", "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 3 inhabitants: Joseph, Harper, and Luke. According to Joseph, \"If Luke is a knight then Harper is a knave\". Harper stated, \"Joseph is not a knave\". Luke noted, \"Harper is a knave\". So who is a knight and who is a knave?", "names": ["Joseph", "Harper", "Luke"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Joseph is a knight, Harper is a knight, and Luke is a knave.", "solution_text_format": "(1) Joseph is a knight\n(2) Harper is a knight\n(3) 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 Joseph is a knight. No contradiction is found in their claim that If Luke is a knight then Harper is a knave.", "Assume Luke 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 Joseph that If Luke is a knight then Harper is a knave.", "Harper 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 Harper, so let us go back and reconsider Luke.", "Assume Luke 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 Joseph is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 2), ('lying', 1)), ('not', ('lying', 0)), ('lying', 1))", "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 3 inhabitants: Jack, Samuel, and Lily. \"If Samuel is a knight then Lily is a knave,\" Jack mentioned. In a statement by Samuel: \"If Jack is a knight then Lily is a knave\". \"Jack is a knight\" - Lily. So who is a knight and who is a knave?", "names": ["Jack", "Samuel", "Lily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Jack is a knight, Samuel is a knave, and Lily is a knight.", "solution_text_format": "(1) Jack is a knight\n(2) Samuel is a knave\n(3) 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 Jack is a knight. No contradiction is found in their claim that If Samuel is a knight then Lily is a knave.", "Assume Samuel is a knight. No contradiction is found in their claim that If Jack is a knight then Lily is a knave.", "Lily cannot be a knight, because this would contradict the claim of Jack that If Samuel is a knight then Lily is a knave.", "Lily cannot be a knave, because this would contradict the false claim of their own that Jack is a knight.", "We have exhausted all possibilities for Lily, so let us go back and reconsider Samuel.", "Assume Samuel is a knave. No contradiction is found in their false claim that If Jack is a knight then Lily is a knave.", "Assume Lily is a knight. No contradiction is found in their claim that Jack is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 1), ('lying', 2)), ('->', ('telling-truth', 0), ('lying', 2)), ('telling-truth', 0))", "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 3 inhabitants: Ella, Scarlett, and Evelyn. In Ella's words: \"Scarlett is a knight or Evelyn is a knight\". Scarlett expressed that Evelyn is a knight or Evelyn is a knave. Evelyn said, \"Evelyn is a knight or Scarlett is a knight.\" So who is a knight and who is a knave?", "names": ["Ella", "Scarlett", "Evelyn"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Ella is a knight, Scarlett is a knight, and Evelyn is a knight.", "solution_text_format": "(1) Ella is a knight\n(2) Scarlett is a knight\n(3) 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 Ella is a knight. No contradiction is found in their claim that Scarlett is a knight or Evelyn is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that Evelyn is a knight or Evelyn is a knave.", "Assume Evelyn is a knight. No contradiction is found in their claim that Evelyn is a knight or Scarlett is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 1), ('telling-truth', 2)), ('or', ('telling-truth', 2), ('lying', 2)), ('or', ('telling-truth', 2), ('telling-truth', 1)))", "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 3 inhabitants: Sophia, Evelyn, and Lily. Sophia expressed that Sophia is a knight if and only if Evelyn is a knight. \"Lily is not a knave,\" Evelyn claimed. Lily told you that Sophia is not a knave. So who is a knight and who is a knave?", "names": ["Sophia", "Evelyn", "Lily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Sophia is a knight, Evelyn is a knight, and Lily is a knight.", "solution_text_format": "(1) Sophia is a knight\n(2) Evelyn is a knight\n(3) 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 Sophia is a knight. No contradiction is found in their claim that Sophia is a knight if and only if Evelyn is a knight.", "Assume Evelyn 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 not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 0), ('telling-truth', 1)), ('not', ('lying', 2)), ('not', ('lying', 0)))", "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 3 inhabitants: Sebastian, Mason, and Sophia. Sebastian asserted: \"If Sophia is a knight then Sophia is a knave\". In Mason's words: \"If Sophia is a knave then Mason is a knight\". According to Sophia, \"Mason is not a knight\". So who is a knight and who is a knave?", "names": ["Sebastian", "Mason", "Sophia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Sebastian is a knight, Mason is a knight, and Sophia is a knave.", "solution_text_format": "(1) Sebastian is a knight\n(2) Mason is a knight\n(3) 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 If Sophia is a knight then Sophia is a knave.", "Sophia cannot be a knight, because this would contradict the claim of Sebastian that If Sophia is a knight then Sophia is a knave.", "Assume Sophia 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 If Sophia is a knave then Mason is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 2), ('lying', 2)), ('->', ('lying', 2), ('telling-truth', 1)), ('not', ('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 3 inhabitants: Abigail, Logan, and Liam. Abigail remarked, \"Logan is not a knave\". In a statement by Logan: \"Liam is not a knave\". As Liam put it, \"Abigail is a knave if and only if Logan is a knave\". So who is a knight and who is a knave?", "names": ["Abigail", "Logan", "Liam"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Abigail is a knight, Logan is a knight, and Liam is a knight.", "solution_text_format": "(1) Abigail is a knight\n(2) Logan is a knight\n(3) 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 Abigail 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 Liam is not a knave.", "Assume Liam is a knight. No contradiction is found in their claim that Abigail is a knave if and only if Logan is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 1)), ('not', ('lying', 2)), ('<=>', ('lying', 0), ('lying', 1)))", "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 3 inhabitants: Mason, Benjamin, and Avery. Mason told you that Avery is a knight. According to Benjamin, \"If Avery is a knight then Benjamin is a knight\". \"Benjamin is a knave if and only if Avery is a knight,\" Avery mentioned. So who is a knight and who is a knave?", "names": ["Mason", "Benjamin", "Avery"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Mason is a knight, Benjamin is a knave, and Avery is a knight.", "solution_text_format": "(1) Mason is a knight\n(2) Benjamin is a knave\n(3) 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 Mason 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 Benjamin is a knave if and only if Avery is a knight.", "Benjamin cannot be a knight, because this would contradict the claim of Avery that Benjamin 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 If Avery is a knight then Benjamin is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 2), ('->', ('telling-truth', 2), ('telling-truth', 1)), ('<=>', ('lying', 1), ('telling-truth', 2)))", "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 3 inhabitants: Benjamin, Matthew, and Henry. According to Benjamin, \"Henry is a knight\". In a statement by Matthew: \"Benjamin is a knight\". \"If Benjamin is a knight then Henry is a knight,\" Henry declared. So who is a knight and who is a knave?", "names": ["Benjamin", "Matthew", "Henry"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Benjamin is a knight, Matthew is a knight, and Henry is a knight.", "solution_text_format": "(1) Benjamin is a knight\n(2) Matthew is a knight\n(3) 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 Benjamin 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 If Benjamin is a knight then Henry is a knight.", "Assume Matthew 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', 2), ('telling-truth', 0), ('->', ('telling-truth', 0), ('telling-truth', 2)))", "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 3 inhabitants: Jack, James, and Liam. As Jack put it, \"James is a knave\". James expressed that If Liam is a knave then Jack is a knave. Liam said, \"Liam is a knight if and only if James is a knave.\" So who is a knight and who is a knave?", "names": ["Jack", "James", "Liam"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false], "solution_text": "Jack is a knight, James is a knave, and Liam is a knave.", "solution_text_format": "(1) Jack is a knight\n(2) James is a knave\n(3) 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 Jack 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 Jack that James is a knave.", "Assume James is a knave. No contradiction is found in their false claim that If Liam is a knave then Jack is a knave.", "Liam cannot be a knight, because this would contradict the false claim of James that If Liam is a knave then Jack is a knave.", "Assume Liam is a knave. No contradiction is found in their false claim that Liam is a knight if and only if James is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('->', ('lying', 2), ('lying', 0)), ('<=>', ('telling-truth', 2), ('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 3 inhabitants: Sebastian, Daniel, and Lily. Sebastian was heard saying, \"If Daniel is a knight then Lily is a knight\". \"If Lily is a knight then Daniel is a knight,\" Daniel claimed. \"If Sebastian is a knight then Daniel is a knave\" - Lily. So who is a knight and who is a knave?", "names": ["Sebastian", "Daniel", "Lily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Sebastian is a knight, Daniel is a knave, and Lily is a knight.", "solution_text_format": "(1) Sebastian is a knight\n(2) Daniel is a knave\n(3) 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 Sebastian is a knight. No contradiction is found in their claim that If Daniel is a knight then Lily is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that If Lily is a knight then Daniel is a knight.", "Lily cannot be a knight, because this would contradict the claim of their own that If Sebastian is a knight then Daniel is a knave.", "Lily cannot be a knave, because this would contradict the claim of Sebastian that If Daniel is a knight then Lily is a knight.", "We have exhausted all possibilities for Lily, so let us go back and reconsider Daniel.", "Assume Daniel is a knave. No contradiction is found in their false claim that If Lily is a knight then Daniel is a knight.", "Assume Lily is a knight. No contradiction is found in their claim that If Sebastian is a knight then Daniel is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 1), ('telling-truth', 2)), ('->', ('telling-truth', 2), ('telling-truth', 1)), ('->', ('telling-truth', 0), ('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 3 inhabitants: Ava, Daniel, and Oliver. \"If Oliver is a knight then Daniel is a knave,\" Ava declared. Daniel stated, \"If Ava is a knight then Ava is a knave\". Oliver told you that If Oliver is a knight then Ava is a knight. So who is a knight and who is a knave?", "names": ["Ava", "Daniel", "Oliver"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Ava is a knight, Daniel is a knave, and Oliver is a knight.", "solution_text_format": "(1) Ava is a knight\n(2) Daniel is a knave\n(3) 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 If Oliver is a knight then Daniel is a knave.", "Assume Oliver is a knight. No contradiction is found in their claim that If Oliver is a knight then Ava is a knight.", "Daniel cannot be a knight, because this would contradict the claim of Ava that If Oliver is a knight then Daniel is a knave.", "Assume Daniel is a knave. No contradiction is found in their false claim that If Ava is a knight then Ava is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 2), ('lying', 1)), ('->', ('telling-truth', 0), ('lying', 0)), ('->', ('telling-truth', 2), ('telling-truth', 0)))", "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 3 inhabitants: Ethan, Sebastian, and Scarlett. \"Sebastian is a knight if and only if Ethan is a knight,\" Ethan mentioned. Sebastian was heard saying, \"Sebastian is a knight if and only if Ethan is a knave\". Scarlett stated, \"Ethan is not a knight\". So who is a knight and who is a knave?", "names": ["Ethan", "Sebastian", "Scarlett"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Ethan is a knave, Sebastian is a knight, and Scarlett is a knight.", "solution_text_format": "(1) Ethan is a knave\n(2) Sebastian is a knight\n(3) 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 Ethan is a knight. No contradiction is found in their claim that Sebastian is a knight if and only if Ethan is a knight.", "Sebastian cannot be a knight, because this would contradict the claim of their own that Sebastian is a knight if and only if Ethan is a knave.", "Sebastian cannot be a knave, because this would contradict the claim of Ethan that Sebastian is a knight if and only if Ethan 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 if and only if Ethan is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Sebastian is a knight if and only if Ethan is a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that Ethan is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('telling-truth', 0)), ('<=>', ('telling-truth', 1), ('lying', 0)), ('not', ('telling-truth', 0)))", "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 3 inhabitants: Aurora, Ethan, and Samuel. Aurora expressed that If Ethan is a knave then Ethan is a knight. In Ethan's words: \"Aurora is a knave or Aurora is a knight\". Samuel was heard saying, \"Ethan is not a knight\". So who is a knight and who is a knave?", "names": ["Aurora", "Ethan", "Samuel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Aurora is a knight, Ethan is a knight, and Samuel is a knave.", "solution_text_format": "(1) Aurora is a knight\n(2) Ethan is a knight\n(3) 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 Aurora is a knight. No contradiction is found in their claim that If Ethan is a knave then Ethan is a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that Aurora is a knave or Aurora is a knight.", "Samuel cannot be a knight, because this would contradict the claim of their own that Ethan is not a knight.", "Assume Samuel 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": "(('->', ('lying', 1), ('telling-truth', 1)), ('or', ('lying', 0), ('telling-truth', 0)), ('not', ('telling-truth', 1)))", "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 3 inhabitants: Daniel, Jackson, and William. According to Daniel, \"Daniel is a knight if and only if Jackson is a knight\". \"Daniel is a knight or William is a knight,\" Jackson claimed. William stated, \"Jackson is a knave\". So who is a knight and who is a knave?", "names": ["Daniel", "Jackson", "William"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Daniel is a knight, Jackson is a knight, and William is a knave.", "solution_text_format": "(1) Daniel is a knight\n(2) Jackson is a knight\n(3) 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 Daniel is a knight. No contradiction is found in their claim that Daniel is a knight if and only if Jackson is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that Daniel is a knight or William 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": "(('<=>', ('telling-truth', 0), ('telling-truth', 1)), ('or', ('telling-truth', 0), ('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 3 inhabitants: Oliver, Harper, and Ethan. In a statement by Oliver: \"Ethan is a knight\". Harper was heard saying, \"Ethan is a knave\". Ethan asserted: \"Harper is a knave if and only if Ethan is a knight\". So who is a knight and who is a knave?", "names": ["Oliver", "Harper", "Ethan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Oliver is a knight, Harper is a knave, and Ethan is a knight.", "solution_text_format": "(1) Oliver is a knight\n(2) Harper is a knave\n(3) 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 Oliver 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 Harper is a knave if and only if Ethan is a knight.", "Harper cannot be a knight, because this would contradict the claim of their own that Ethan is a knave.", "Assume Harper 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": "(('telling-truth', 2), ('lying', 2), ('<=>', ('lying', 1), ('telling-truth', 2)))", "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 3 inhabitants: Oliver, William, and Victoria. Oliver expressed that Oliver is a knight or Victoria is a knight. In William's words: \"If Oliver is a knave then Victoria is a knight\". Victoria said, \"William is not a knight.\" So who is a knight and who is a knave?", "names": ["Oliver", "William", "Victoria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Oliver is a knight, William is a knight, and Victoria is a knave.", "solution_text_format": "(1) Oliver is a knight\n(2) William is a knight\n(3) 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 Oliver is a knight. No contradiction is found in their claim that Oliver is a knight or Victoria is a knight.", "Assume Victoria 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 Victoria that William is not a knight.", "William cannot be a knave, because this would contradict the false claim of their own that If Oliver is a knave then Victoria is a knight.", "We have exhausted all possibilities for William, so let us go back and reconsider Victoria.", "Assume Victoria 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 Oliver is a knave then Victoria is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 0), ('telling-truth', 2)), ('->', ('lying', 0), ('telling-truth', 2)), ('not', ('telling-truth', 1)))", "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 3 inhabitants: Zoey, Grace, and Liam. According to Zoey, \"Zoey is a knight if and only if Grace is a knight\". Grace said that Grace is a knight if and only if Zoey is a knight. Liam commented, \"Grace is not a knave\". So who is a knight and who is a knave?", "names": ["Zoey", "Grace", "Liam"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Zoey is a knight, Grace is a knight, and Liam is a knight.", "solution_text_format": "(1) Zoey is a knight\n(2) Grace is a knight\n(3) 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 Zoey is a knight. No contradiction is found in their claim that Zoey is a knight if and only if Grace is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that Grace is a knight if and only if Zoey is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that Grace is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 0), ('telling-truth', 1)), ('<=>', ('telling-truth', 1), ('telling-truth', 0)), ('not', ('lying', 1)))", "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 3 inhabitants: Chloe, Aiden, and Matthew. Chloe asserted: \"Chloe is a knight or Matthew is a knave\". Aiden remarked, \"Matthew is not a knave\". Matthew asserted: \"Chloe is a knight\". So who is a knight and who is a knave?", "names": ["Chloe", "Aiden", "Matthew"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Chloe is a knight, Aiden is a knight, and Matthew is a knight.", "solution_text_format": "(1) Chloe is a knight\n(2) Aiden is a knight\n(3) 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 Chloe is a knight. No contradiction is found in their claim that Chloe is a knight or Matthew is a knave.", "Assume Matthew is a knight. No contradiction is found in their claim that Chloe is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that Matthew is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 0), ('lying', 2)), ('not', ('lying', 2)), ('telling-truth', 0))", "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 3 inhabitants: Aiden, Elizabeth, and Mason. According to Aiden, \"Elizabeth is a knight if and only if Elizabeth is a knave\". Elizabeth told you that Elizabeth is a knight or Aiden is a knave. Mason stated, \"If Elizabeth is a knave then Aiden is a knave\". So who is a knight and who is a knave?", "names": ["Aiden", "Elizabeth", "Mason"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Aiden is a knave, Elizabeth is a knight, and Mason is a knight.", "solution_text_format": "(1) Aiden is a knave\n(2) Elizabeth is a knight\n(3) 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": ["Aiden cannot be a knight, because this would contradict the claim of their own that Elizabeth is a knight if and only if Elizabeth is a knave.", "Assume Aiden is a knave. No contradiction is found in their false claim that Elizabeth is a knight if and only if Elizabeth is a knave.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Elizabeth is a knight or Aiden is a knave.", "Assume Mason is a knight. No contradiction is found in their claim that If Elizabeth is a knave then Aiden is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('lying', 1)), ('or', ('telling-truth', 1), ('lying', 0)), ('->', ('lying', 1), ('lying', 0)))", "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 3 inhabitants: Liam, William, and Lucas. In Liam's words: \"Lucas is a knave\". William noted, \"Lucas is not a knave\". Lucas stated, \"Liam is a knight or Lucas is a knight\". So who is a knight and who is a knave?", "names": ["Liam", "William", "Lucas"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Liam is a knave, William is a knight, and Lucas is a knight.", "solution_text_format": "(1) Liam is a knave\n(2) William is a knight\n(3) 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 Liam 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 Liam that Lucas is a knave.", "Lucas cannot be a knave, because this would contradict the false claim of their own that Liam is a knight or Lucas is a knight.", "We have exhausted all possibilities for Lucas, so let us go back and reconsider Liam.", "Assume Liam 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 Liam is a knight or Lucas is a knight.", "Assume William 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), ('not', ('lying', 2)), ('or', ('telling-truth', 0), ('telling-truth', 2)))", "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 3 inhabitants: Avery, Riley, and Ava. According to Avery, \"Ava is a knight\". Riley remarked, \"Riley is a knight if and only if Avery is a knave\". \"Avery is a knave if and only if Riley is a knight\" - Ava. So who is a knight and who is a knave?", "names": ["Avery", "Riley", "Ava"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false], "solution_text": "Avery is a knave, Riley is a knave, and Ava is a knave.", "solution_text_format": "(1) Avery is a knave\n(2) Riley is a knave\n(3) 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 Avery 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 Avery is a knave if and only if Riley is a knight.", "Riley cannot be a knight, because this would contradict the claim of their own that Riley is a knight if and only if Avery is a knave.", "Riley cannot be a knave, because this would contradict the false claim of their own that Riley is a knight if and only if Avery is a knave.", "We have exhausted all possibilities for Riley, 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.", "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.", "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 knave if and only if Riley is a knight.", "Riley cannot be a knight, because this would contradict the false claim of Ava that Avery 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 Riley is a knight if and only if Avery is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 2), ('<=>', ('telling-truth', 1), ('lying', 0)), ('<=>', ('lying', 0), ('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 3 inhabitants: Lily, Emily, and Samuel. Lily was heard saying, \"Emily is a knight\". Emily was heard saying, \"Emily is a knight and Samuel is a knight\". Samuel remarked, \"Lily is a knave if and only if Emily is a knight\". So who is a knight and who is a knave?", "names": ["Lily", "Emily", "Samuel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false], "solution_text": "Lily is a knave, Emily is a knave, and Samuel is a knave.", "solution_text_format": "(1) Lily is a knave\n(2) Emily is a knave\n(3) 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 Lily 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 Emily is a knight and Samuel is a knight.", "Samuel cannot be a knight, because this would contradict the claim of their own that Lily is a knave if and only if Emily is a knight.", "Samuel cannot be a knave, because this would contradict the claim of Emily that Emily is a knight and Samuel is a knight.", "We have exhausted all possibilities for Samuel, so let us go back and reconsider Emily.", "Emily cannot be a knave, because this would contradict the claim of Lily that Emily is a knight.", "We have exhausted all possibilities for Emily, so let us go back and reconsider Lily.", "Assume Lily 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 Lily that Emily is a knight.", "Assume Emily is a knave. No contradiction is found in their false claim that Emily is a knight and Samuel is a knight.", "Samuel cannot be a knight, because this would contradict the claim of their own that Lily is a knave if and only if Emily is a knight.", "Assume Samuel is a knave. No contradiction is found in their false claim that Lily is a knave if and only if Emily is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 1), ('and', ('telling-truth', 1), ('telling-truth', 2)), ('<=>', ('lying', 0), ('telling-truth', 1)))", "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 3 inhabitants: Sebastian, Riley, and Jack. \"If Sebastian is a knight then Jack is a knight,\" Sebastian mentioned. \"Jack is a knight and Sebastian is a knave\" - Riley. Jack remarked, \"Riley is not a knight\". So who is a knight and who is a knave?", "names": ["Sebastian", "Riley", "Jack"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Sebastian is a knight, Riley is a knave, and Jack is a knight.", "solution_text_format": "(1) Sebastian is a knight\n(2) Riley is a knave\n(3) 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 Sebastian is a knight. No contradiction is found in their claim that If Sebastian is a knight then Jack is a knight.", "Assume Jack 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 Jack is a knight and Sebastian is a knave.", "Assume Riley is a knave. No contradiction is found in their false claim that Jack is a knight and Sebastian is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 0), ('telling-truth', 2)), ('and', ('telling-truth', 2), ('lying', 0)), ('not', ('telling-truth', 1)))", "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 3 inhabitants: Grace, Benjamin, and Scarlett. Grace was heard saying, \"Benjamin is a knight if and only if Benjamin is a knave\". Benjamin commented, \"If Benjamin is a knight then Grace is a knave\". Scarlett told you that Grace is a knave or Benjamin is a knave. So who is a knight and who is a knave?", "names": ["Grace", "Benjamin", "Scarlett"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Grace is a knave, Benjamin is a knight, and Scarlett is a knight.", "solution_text_format": "(1) Grace is a knave\n(2) Benjamin is a knight\n(3) 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": ["Grace cannot be a knight, because this would contradict the claim of their own that Benjamin is a knight if and only if Benjamin is a knave.", "Assume Grace is a knave. No contradiction is found in their false claim that Benjamin 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 Benjamin is a knight then Grace is a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that Grace is a knave or Benjamin is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('lying', 1)), ('->', ('telling-truth', 1), ('lying', 0)), ('or', ('lying', 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 3 inhabitants: Mason, Henry, and Matthew. According to Mason, \"Henry is a knave and Mason is a knight\". Henry asserted: \"Matthew is not a knave\". Matthew asserted: \"If Henry is a knight then Mason is a knave\". So who is a knight and who is a knave?", "names": ["Mason", "Henry", "Matthew"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Mason is a knave, Henry is a knight, and Matthew is a knight.", "solution_text_format": "(1) Mason is a knave\n(2) Henry is a knight\n(3) 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 Mason is a knight. No contradiction is found in their claim that Henry is a knave and Mason is a knight.", "Henry cannot be a knight, because this would contradict the claim of Mason that Henry is a knave and Mason is a knight.", "Assume Henry 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 Henry 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 Mason is a knave.", "We have exhausted all possibilities for Matthew and 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 knave and Mason is a knight.", "Assume Henry 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 Mason is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('telling-truth', 0)), ('not', ('lying', 2)), ('->', ('telling-truth', 1), ('lying', 0)))", "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 3 inhabitants: Lucas, Oliver, and Sebastian. Lucas said that Oliver is a knave if and only if Lucas is a knight. In Oliver's words: \"Sebastian is a knave or Lucas is a knave\". Sebastian asserted: \"Lucas is a knight if and only if Oliver is a knave\". So who is a knight and who is a knave?", "names": ["Lucas", "Oliver", "Sebastian"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Lucas is a knight, Oliver is a knave, and Sebastian is a knight.", "solution_text_format": "(1) Lucas is a knight\n(2) Oliver is a knave\n(3) 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 Lucas is a knight. No contradiction is found in their claim that Oliver is a knave if and only if Lucas is a knight.", "Oliver cannot be a knight, because this would contradict the claim of Lucas that Oliver is a knave if and only if Lucas is a knight.", "Assume Oliver is a knave. No contradiction is found in their false claim that Sebastian is a knave or Lucas is a knave.", "Assume Sebastian is a knight. No contradiction is found in their claim that Lucas is a knight if and only if Oliver is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('telling-truth', 0)), ('or', ('lying', 2), ('lying', 0)), ('<=>', ('telling-truth', 0), ('lying', 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 3 inhabitants: Isabella, Victoria, and Samuel. Isabella remarked, \"Samuel is a knave if and only if Victoria is a knave\". \"Isabella is a knight\" - Victoria. Samuel expressed that Isabella is not a knight. So who is a knight and who is a knave?", "names": ["Isabella", "Victoria", "Samuel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Isabella is a knave, Victoria is a knave, and Samuel is a knight.", "solution_text_format": "(1) Isabella is a knave\n(2) Victoria is a knave\n(3) 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 Isabella is a knight. No contradiction is found in their claim that Samuel is a knave if and only if Victoria is a knave.", "Samuel cannot be a knight, because this would contradict the claim of their own that Isabella is not a knight.", "Assume Samuel is a knave. No contradiction is found in their false claim that Isabella is not a knight.", "Victoria cannot be a knight, because this would contradict the claim of Isabella that Samuel is a knave if and only if Victoria is a knave.", "Victoria 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 Victoria and 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 knave if and only if Victoria is a knave.", "Assume Samuel is a knight. No contradiction is found in their claim that Isabella is not a knight.", "Victoria cannot be a knight, because this would contradict the false claim of Isabella that Samuel 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 Isabella is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 2), ('lying', 1)), ('telling-truth', 0), ('not', ('telling-truth', 0)))", "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 3 inhabitants: Chloe, Victoria, and Emma. Chloe expressed that Victoria is a knight if and only if Emma is a knave. Victoria told you that Emma is a knave if and only if Victoria is a knight. \"Chloe is a knight or Victoria is a knight\" - Emma. So who is a knight and who is a knave?", "names": ["Chloe", "Victoria", "Emma"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false], "solution_text": "Chloe is a knave, Victoria is a knave, and Emma is a knave.", "solution_text_format": "(1) Chloe is a knave\n(2) Victoria is a knave\n(3) 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 Chloe is a knight. No contradiction is found in their claim that Victoria is a knight if and only if Emma is a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that Emma is a knave if and only if Victoria is a knight.", "Emma cannot be a knight, because this would contradict the claim of Chloe that Victoria is a knight if and only if Emma is a knave.", "Emma cannot be a knave, because this would contradict the false claim of their own that Chloe is a knight or Victoria is a knight.", "We have exhausted all possibilities for Emma, so let us go back and reconsider Victoria.", "Assume Victoria is a knave. No contradiction is found in their false claim that Emma is a knave if and only if Victoria is a knight.", "Emma cannot be a knight, because this would contradict the false claim of Victoria that Emma is a knave if and only if Victoria is a knight.", "Emma cannot be a knave, because this would contradict the claim of Chloe that Victoria is a knight if and only if Emma is a knave.", "We have exhausted all possibilities for Emma and Victoria, so let us go back and reconsider Chloe.", "Assume Chloe is a knave. No contradiction is found in their false claim that Victoria is a knight if and only if Emma is a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that Emma is a knave if and only if Victoria is a knight.", "Emma cannot be a knight, because this would contradict the claim of Victoria that Emma is a knave if and only if Victoria is a knight.", "Emma cannot be a knave, because this would contradict the false claim of Chloe that Victoria is a knight if and only if Emma is a knave.", "We have exhausted all possibilities for Emma, so let us go back and reconsider Victoria.", "Assume Victoria is a knave. No contradiction is found in their false claim that Emma is a knave if and only if Victoria is a knight.", "Emma cannot be a knight, because this would contradict the false claim of Chloe that Victoria 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 Chloe is a knight or Victoria is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('lying', 2)), ('<=>', ('lying', 2), ('telling-truth', 1)), ('or', ('telling-truth', 0), ('telling-truth', 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 3 inhabitants: Alexander, Riley, and Ava. Alexander was heard saying, \"Ava is a knight and Riley is a knight\". Riley commented, \"Ava is not a knave\". Ava said, \"Ava is a knight and Riley is a knave.\" So who is a knight and who is a knave?", "names": ["Alexander", "Riley", "Ava"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false], "solution_text": "Alexander is a knave, Riley is a knave, and Ava is a knave.", "solution_text_format": "(1) Alexander is a knave\n(2) Riley is a knave\n(3) 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 Alexander is a knight. No contradiction is found in their claim that Ava is a knight and Riley is a knight.", "Assume Ava is a knight. No contradiction is found in their claim that Ava is a knight and Riley is a knave.", "Riley cannot be a knight, because this would contradict the claim of Ava that Ava is a knight and Riley is a knave.", "Riley cannot be a knave, because this would contradict the claim of Alexander that Ava is a knight and Riley is a knight.", "We have exhausted all possibilities for Riley, 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 Riley is a knight.", "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 Riley is a knight.", "Assume Ava is a knight. No contradiction is found in their claim that Ava is a knight and Riley is a knave.", "Riley cannot be a knight, because this would contradict the false claim of Alexander that Ava is a knight and Riley is a knight.", "Riley 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 Riley, so let us go back and reconsider Ava.", "Assume Ava is a knave. No contradiction is found in their false claim that Ava is a knight and Riley is a knave.", "Riley cannot be a knight, because this would contradict the claim of their own that Ava is not a knave.", "Assume Riley is a knave. No contradiction is found in their false claim that Ava is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 2), ('telling-truth', 1)), ('not', ('lying', 2)), ('and', ('telling-truth', 2), ('lying', 1)))", "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 3 inhabitants: Aria, Abigail, and Luke. As Aria put it, \"Abigail is not a knave\". Abigail commented, \"If Aria is a knight then Luke is a knight\". Luke told you that Aria is a knave or Luke is a knight. So who is a knight and who is a knave?", "names": ["Aria", "Abigail", "Luke"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Aria is a knight, Abigail is a knight, and Luke is a knight.", "solution_text_format": "(1) Aria is a knight\n(2) Abigail is a knight\n(3) 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 Aria 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 Aria is a knight then Luke is a knight.", "Assume Luke is a knight. No contradiction is found in their claim that Aria is a knave or Luke is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 1)), ('->', ('telling-truth', 0), ('telling-truth', 2)), ('or', ('lying', 0), ('telling-truth', 2)))", "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 3 inhabitants: Amelia, Luke, and Harper. Amelia said, \"Luke is a knight if and only if Amelia is a knight.\" Luke asserted: \"Luke is a knight and Harper is a knave\". In a statement by Harper: \"Luke is a knave if and only if Amelia is a knave\". So who is a knight and who is a knave?", "names": ["Amelia", "Luke", "Harper"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Amelia is a knave, Luke is a knight, and Harper is a knave.", "solution_text_format": "(1) Amelia is a knave\n(2) Luke is a knight\n(3) 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 Amelia is a knight. No contradiction is found in their claim that Luke is a knight if and only if Amelia is a knight.", "Assume Luke is a knight. No contradiction is found in their claim that Luke is a knight and Harper is a knave.", "Harper cannot be a knight, because this would contradict the claim of Luke that Luke is a knight and Harper is a knave.", "Harper cannot be a knave, because this would contradict the false claim of their own that Luke is a knave if and only if Amelia is a knave.", "We have exhausted all possibilities for Harper, so let us go back and reconsider Luke.", "Luke cannot be a knave, because this would contradict the claim of Amelia that Luke is a knight if and only if Amelia is a knight.", "We have exhausted all possibilities for Luke, so let us go back and reconsider Amelia.", "Assume Amelia is a knave. No contradiction is found in their false claim that Luke is a knight if and only if Amelia is a knight.", "Assume Luke is a knight. No contradiction is found in their claim that Luke is a knight and Harper is a knave.", "Harper cannot be a knight, because this would contradict the claim of Luke that Luke is a knight and Harper is a knave.", "Assume Harper is a knave. No contradiction is found in their false claim that Luke is a knave if and only if Amelia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('telling-truth', 0)), ('and', ('telling-truth', 1), ('lying', 2)), ('<=>', ('lying', 1), ('lying', 0)))", "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 3 inhabitants: Harper, Victoria, and David. Harper told you that David is a knave if and only if Victoria is a knave. Victoria was heard saying, \"If Harper is a knight then David is a knight\". David expressed that Victoria is a knave or Victoria is a knight. So who is a knight and who is a knave?", "names": ["Harper", "Victoria", "David"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Harper is a knight, Victoria is a knight, and David is a knight.", "solution_text_format": "(1) Harper is a knight\n(2) Victoria is a knight\n(3) 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 Harper is a knight. No contradiction is found in their claim that David is a knave if and only if Victoria is a knave.", "Assume David 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 Harper is a knight then David is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 2), ('lying', 1)), ('->', ('telling-truth', 0), ('telling-truth', 2)), ('or', ('lying', 1), ('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 3 inhabitants: Emily, David, and Jackson. Emily asserted: \"Jackson is a knight if and only if Emily is a knight\". In a statement by David: \"Jackson is a knight and Emily is a knave\". \"David is a knight,\" Jackson declared. So who is a knight and who is a knave?", "names": ["Emily", "David", "Jackson"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Emily is a knave, David is a knight, and Jackson is a knight.", "solution_text_format": "(1) Emily is a knave\n(2) David is a knight\n(3) 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 Jackson is a knight if and only if Emily is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that David is a knight.", "David cannot be a knight, because this would contradict the claim of their own that Jackson is a knight and Emily is a knave.", "David cannot be a knave, because this would contradict the claim of Jackson that David is a knight.", "We have exhausted all possibilities for David, so let us go back and reconsider Jackson.", "Jackson cannot be a knave, because this would contradict the claim of Emily that Jackson is a knight if and only if Emily is a knight.", "We have exhausted all possibilities for 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 knight if and only if Emily is a knight.", "Assume Jackson 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 Jackson is a knight and Emily is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 2), ('telling-truth', 0)), ('and', ('telling-truth', 2), ('lying', 0)), ('telling-truth', 1))", "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 3 inhabitants: Abigail, Amelia, and Emily. \"Emily is a knave and Abigail is a knight,\" Abigail claimed. According to Amelia, \"Abigail is a knight\". In Emily's words: \"Emily is a knight if and only if Amelia is a knight\". So who is a knight and who is a knave?", "names": ["Abigail", "Amelia", "Emily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Abigail is a knight, Amelia is a knight, and Emily is a knave.", "solution_text_format": "(1) Abigail is a knight\n(2) Amelia is a knight\n(3) 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 Abigail is a knight. No contradiction is found in their claim that Emily is a knave and Abigail is a knight.", "Emily cannot be a knight, because this would contradict the claim of Abigail that Emily is a knave and Abigail 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 Amelia is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that Abigail is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('telling-truth', 0)), ('telling-truth', 0), ('<=>', ('telling-truth', 2), ('telling-truth', 1)))", "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 3 inhabitants: Benjamin, Charlotte, and Victoria. Benjamin remarked, \"Victoria is a knight and Victoria is a knave\". Charlotte stated, \"Victoria is a knave\". As Victoria put it, \"Charlotte is a knave if and only if Charlotte is a knight\". So who is a knight and who is a knave?", "names": ["Benjamin", "Charlotte", "Victoria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Benjamin is a knave, Charlotte is a knight, and Victoria is a knave.", "solution_text_format": "(1) Benjamin is a knave\n(2) Charlotte is a knight\n(3) 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": ["Benjamin cannot be a knight, because this would contradict the claim of their own that Victoria is a knight and Victoria is a knave.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Victoria is a knight and Victoria is a knave.", "Victoria cannot be a knight, because this would contradict the claim of their own that Charlotte is a knave if and only if Charlotte is a knight.", "Assume Victoria is a knave. No contradiction is found in their false claim that Charlotte is a knave if and only if Charlotte is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that Victoria is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 2), ('lying', 2)), ('lying', 2), ('<=>', ('lying', 1), ('telling-truth', 1)))", "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 3 inhabitants: Evelyn, Grace, and Oliver. \"Grace is a knight and Evelyn is a knight,\" Evelyn declared. Grace expressed that Grace is a knight if and only if Oliver is a knight. Oliver said, \"Evelyn is a knight.\" So who is a knight and who is a knave?", "names": ["Evelyn", "Grace", "Oliver"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Evelyn is a knight, Grace is a knight, and Oliver is a knight.", "solution_text_format": "(1) Evelyn is a knight\n(2) Grace is a knight\n(3) 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 Evelyn is a knight. No contradiction is found in their claim that Grace is a knight and Evelyn is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that Grace is a knight if and only if Oliver is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that Evelyn is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('telling-truth', 0)), ('<=>', ('telling-truth', 1), ('telling-truth', 2)), ('telling-truth', 0))", "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 3 inhabitants: Riley, Aurora, and Avery. Riley asserted: \"Aurora is a knight\". As Aurora put it, \"Avery is not a knight\". Avery noted, \"If Avery is a knight then Riley is a knave\". So who is a knight and who is a knave?", "names": ["Riley", "Aurora", "Avery"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Riley is a knave, Aurora is a knave, and Avery is a knight.", "solution_text_format": "(1) Riley is a knave\n(2) Aurora is a knave\n(3) 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 Aurora is a knight.", "Assume Aurora 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 Aurora that Avery is not a knight.", "Avery cannot be a knave, because this would contradict the false claim of their own that If Avery is a knight then Riley is a knave.", "We have exhausted all possibilities for Avery, so let us go back and reconsider Aurora.", "Aurora cannot be a knave, because this would contradict the claim of Riley that Aurora is a knight.", "We have exhausted all possibilities for Aurora, so let us go back and reconsider Riley.", "Assume Riley 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 Riley that Aurora is a knight.", "Assume Aurora 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 If Avery is a knight then Riley is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 1), ('not', ('telling-truth', 2)), ('->', ('telling-truth', 2), ('lying', 0)))", "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 3 inhabitants: Penelope, Avery, and Riley. \"Riley is not a knight,\" Penelope claimed. Avery remarked, \"Penelope is a knight if and only if Riley is a knight\". In Riley's words: \"Avery is a knight and Penelope is a knave\". So who is a knight and who is a knave?", "names": ["Penelope", "Avery", "Riley"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false], "solution_text": "Penelope is a knight, Avery is a knave, and Riley is a knave.", "solution_text_format": "(1) Penelope is a knight\n(2) Avery is a knave\n(3) 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 Penelope 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 Penelope that Riley is not a knight.", "Assume Riley is a knave. No contradiction is found in their false claim that Avery is a knight and Penelope is a knave.", "Avery cannot be a knight, because this would contradict the claim of their own that Penelope is a knight if and only if Riley is a knight.", "Assume Avery is a knave. No contradiction is found in their false claim that Penelope is a knight if and only if Riley is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 2)), ('<=>', ('telling-truth', 0), ('telling-truth', 2)), ('and', ('telling-truth', 1), ('lying', 0)))", "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 3 inhabitants: Harper, Lucas, and Matthew. Harper said, \"Lucas is a knave or Harper is a knight.\" Lucas told you that Matthew is a knave and Matthew is a knight. Matthew was heard saying, \"Harper is a knight or Harper is a knave\". So who is a knight and who is a knave?", "names": ["Harper", "Lucas", "Matthew"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Harper is a knight, Lucas is a knave, and Matthew is a knight.", "solution_text_format": "(1) Harper is a knight\n(2) Lucas is a knave\n(3) 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 Harper is a knight. No contradiction is found in their claim that Lucas is a knave or Harper is a knight.", "Lucas cannot be a knight, because this would contradict the claim of their own that Matthew is a knave and Matthew is a knight.", "Assume Lucas is a knave. No contradiction is found in their false claim that Matthew is a knave and Matthew is a knight.", "Assume Matthew 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": "(('or', ('lying', 1), ('telling-truth', 0)), ('and', ('lying', 2), ('telling-truth', 2)), ('or', ('telling-truth', 0), ('lying', 0)))", "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 3 inhabitants: James, Aiden, and Scarlett. \"Scarlett is a knave,\" James mentioned. \"James is a knave or Scarlett is a knave,\" Aiden claimed. Scarlett asserted: \"Aiden is not a knight\". So who is a knight and who is a knave?", "names": ["James", "Aiden", "Scarlett"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "James is a knight, Aiden is a knight, and Scarlett is a knave.", "solution_text_format": "(1) James is a knight\n(2) Aiden is a knight\n(3) 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 James 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 James that Scarlett is a knave.", "Assume Scarlett 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 James is a knave or Scarlett is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 2), ('or', ('lying', 0), ('lying', 2)), ('not', ('telling-truth', 1)))", "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 3 inhabitants: Sophia, Grace, and Emma. Sophia expressed that If Grace is a knave then Emma is a knave. Grace noted, \"If Emma is a knight then Emma is a knave\". Emma said, \"Grace is a knight or Sophia is a knave.\" So who is a knight and who is a knave?", "names": ["Sophia", "Grace", "Emma"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Sophia is a knave, Grace is a knave, and Emma is a knight.", "solution_text_format": "(1) Sophia is a knave\n(2) Grace is a knave\n(3) 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 Sophia is a knight. No contradiction is found in their claim that If Grace is a knave then Emma is a knave.", "Assume Grace 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 Grace 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 Grace is a knight or Sophia is a knave.", "We have exhausted all possibilities for Emma, so let us go back and reconsider Grace.", "Assume Grace is a knave. No contradiction is found in their false claim that If Emma is a knight then Emma is a knave.", "Emma cannot be a knight, because this would contradict the claim of Sophia that If Grace is a knave then Emma is a knave.", "Emma cannot be a knave, because this would contradict the false claim of Grace that If Emma is a knight then Emma is a knave.", "We have exhausted all possibilities for Emma and Grace, so let us go back and reconsider Sophia.", "Assume Sophia is a knave. No contradiction is found in their false claim that If Grace is a knave then Emma is a knave.", "Grace cannot be a knight, because this would contradict the false claim of Sophia that If Grace is a knave then Emma is a knave.", "Assume Grace 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 Grace is a knight or Sophia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 1), ('lying', 2)), ('->', ('telling-truth', 2), ('lying', 2)), ('or', ('telling-truth', 1), ('lying', 0)))", "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 3 inhabitants: Victoria, Charlotte, and Avery. Victoria told you that Avery is not a knave. Charlotte told you that Avery is a knave and Victoria is a knight. As Avery put it, \"Victoria is a knave and Victoria is a knight\". So who is a knight and who is a knave?", "names": ["Victoria", "Charlotte", "Avery"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false], "solution_text": "Victoria is a knave, Charlotte is a knave, and Avery is a knave.", "solution_text_format": "(1) Victoria is a knave\n(2) Charlotte is a knave\n(3) 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 Victoria 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 Victoria is a knave and Victoria is a knight.", "Avery cannot be a knave, because this would contradict the claim of Victoria that Avery is not a knave.", "We have exhausted all possibilities for Avery, so let us go back and reconsider Victoria.", "Assume Victoria 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 Victoria that Avery is not a knave.", "Assume Avery is a knave. No contradiction is found in their false claim that Victoria is a knave and Victoria is a knight.", "Charlotte cannot be a knight, because this would contradict the claim of their own that Avery is a knave and Victoria is a knight.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Avery is a knave and Victoria is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 2)), ('and', ('lying', 2), ('telling-truth', 0)), ('and', ('lying', 0), ('telling-truth', 0)))", "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 3 inhabitants: Jacob, Owen, and Ethan. As Jacob put it, \"Ethan is not a knave\". As Owen put it, \"If Owen is a knight then Jacob is a knight\". Ethan noted, \"Owen is a knight\". So who is a knight and who is a knave?", "names": ["Jacob", "Owen", "Ethan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Jacob is a knight, Owen is a knight, and Ethan is a knight.", "solution_text_format": "(1) Jacob is a knight\n(2) Owen is a knight\n(3) 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 Jacob 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 Owen is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that If Owen is a knight then Jacob is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 2)), ('->', ('telling-truth', 1), ('telling-truth', 0)), ('telling-truth', 1))", "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 3 inhabitants: Sebastian, Aurora, and Owen. Sebastian said that Aurora is a knave if and only if Aurora is a knight. Aurora said, \"If Owen is a knight then Sebastian is a knight.\" In Owen's words: \"Owen is a knight if and only if Aurora is a knave\". So who is a knight and who is a knave?", "names": ["Sebastian", "Aurora", "Owen"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Sebastian is a knave, Aurora is a knave, and Owen is a knight.", "solution_text_format": "(1) Sebastian is a knave\n(2) Aurora is a knave\n(3) 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": ["Sebastian cannot be a knight, because this would contradict the claim of their own that Aurora is a knave if and only if Aurora is a knight.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Aurora is a knave if and only if Aurora is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that If Owen is a knight then Sebastian is a knight.", "Owen cannot be a knight, because this would contradict the claim of Aurora that If Owen is a knight then Sebastian is a knight.", "Owen cannot be a knave, because this would contradict the false claim of their own that Owen is a knight if and only if Aurora is a knave.", "We have exhausted all possibilities for Owen, so let us go back and reconsider Aurora.", "Assume Aurora is a knave. No contradiction is found in their false claim that If Owen is a knight then Sebastian is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that Owen is a knight if and only if Aurora is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('telling-truth', 1)), ('->', ('telling-truth', 2), ('telling-truth', 0)), ('<=>', ('telling-truth', 2), ('lying', 1)))", "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 3 inhabitants: Alexander, Aiden, and Owen. \"Owen is a knight if and only if Alexander is a knight,\" Alexander declared. Aiden commented, \"Alexander is a knave or Aiden is a knight\". According to Owen, \"Alexander is a knave\". So who is a knight and who is a knave?", "names": ["Alexander", "Aiden", "Owen"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Alexander is a knave, Aiden is a knight, and Owen is a knight.", "solution_text_format": "(1) Alexander is a knave\n(2) Aiden is a knight\n(3) 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 Owen is a knight if and only if Alexander is a knight.", "Owen cannot be a knight, because this would contradict the claim of their own that Alexander is a knave.", "Owen cannot be a knave, because this would contradict the claim of Alexander that Owen 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 Owen is a knight if and only if Alexander is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that Alexander is a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that Alexander is a knave or Aiden is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 2), ('telling-truth', 0)), ('or', ('lying', 0), ('telling-truth', 1)), ('lying', 0))", "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 3 inhabitants: Logan, Liam, and Jackson. Logan remarked, \"Liam is not a knave\". Liam commented, \"Logan is a knave or Jackson is a knight\". \"Logan is a knight and Jackson is a knight\" - Jackson. So who is a knight and who is a knave?", "names": ["Logan", "Liam", "Jackson"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Logan is a knight, Liam is a knight, and Jackson is a knight.", "solution_text_format": "(1) Logan is a knight\n(2) Liam is a knight\n(3) 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 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 Logan is a knave or Jackson is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that Logan is a knight and Jackson is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 1)), ('or', ('lying', 0), ('telling-truth', 2)), ('and', ('telling-truth', 0), ('telling-truth', 2)))", "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 3 inhabitants: Amelia, David, and Ethan. In a statement by Amelia: \"David is not a knight\". David told you that Amelia is a knight and David is a knight. \"David is a knight,\" Ethan claimed. So who is a knight and who is a knave?", "names": ["Amelia", "David", "Ethan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false], "solution_text": "Amelia is a knight, David is a knave, and Ethan is a knave.", "solution_text_format": "(1) Amelia is a knight\n(2) David is a knave\n(3) 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 Amelia 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 Amelia that David is not a knight.", "Assume David is a knave. No contradiction is found in their false claim that Amelia is a knight and David is a knight.", "Ethan cannot be a knight, because this would contradict the claim of their own that David is a knight.", "Assume Ethan is a knave. No contradiction is found in their false claim that David is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('and', ('telling-truth', 0), ('telling-truth', 1)), ('telling-truth', 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 3 inhabitants: Elizabeth, Lily, and Daniel. Elizabeth expressed that Lily is a knight if and only if Daniel is a knave. \"Lily is a knight if and only if Daniel is a knight\" - Lily. In a statement by Daniel: \"Lily is not a knight\". So who is a knight and who is a knave?", "names": ["Elizabeth", "Lily", "Daniel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Elizabeth is a knight, Lily is a knave, and Daniel is a knight.", "solution_text_format": "(1) Elizabeth is a knight\n(2) Lily is a knave\n(3) 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 Elizabeth is a knight. No contradiction is found in their claim that Lily is a knight if and only if Daniel is a knave.", "Assume Lily is a knight. No contradiction is found in their claim that Lily is a knight if and only if Daniel is a knight.", "Daniel cannot be a knight, because this would contradict the claim of Elizabeth that Lily is a knight if and only if Daniel is a knave.", "Daniel cannot be a knave, because this would contradict the claim of Lily that Lily 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 Lily.", "Assume Lily is a knave. No contradiction is found in their false claim that Lily is a knight if and only if Daniel is a knight.", "Assume Daniel 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', 1), ('lying', 2)), ('<=>', ('telling-truth', 1), ('telling-truth', 2)), ('not', ('telling-truth', 1)))", "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 3 inhabitants: Owen, Liam, and Aiden. Owen said, \"Aiden is a knight or Aiden is a knave.\" In a statement by Liam: \"Aiden is a knave or Owen is a knave\". \"Owen is not a knave,\" Aiden mentioned. So who is a knight and who is a knave?", "names": ["Owen", "Liam", "Aiden"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Owen is a knight, Liam is a knave, and Aiden is a knight.", "solution_text_format": "(1) Owen is a knight\n(2) Liam is a knave\n(3) 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 Owen is a knight. No contradiction is found in their claim that Aiden is a knight or Aiden is a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that Owen is not a knave.", "Liam cannot be a knight, because this would contradict the claim of their own that Aiden is a knave or Owen is a knave.", "Assume Liam is a knave. No contradiction is found in their false claim that Aiden is a knave or Owen is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 2), ('lying', 2)), ('or', ('lying', 2), ('lying', 0)), ('not', ('lying', 0)))", "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 3 inhabitants: Penelope, Emily, and Lucas. Penelope noted, \"Lucas is a knave\". In a statement by Emily: \"Penelope is a knight if and only if Penelope is a knave\". Lucas said, \"Penelope is a knight or Penelope is a knave.\" So who is a knight and who is a knave?", "names": ["Penelope", "Emily", "Lucas"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Penelope is a knave, Emily is a knave, and Lucas is a knight.", "solution_text_format": "(1) Penelope is a knave\n(2) Emily is a knave\n(3) 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 Lucas is a knave.", "Lucas cannot be a knight, because this would contradict the claim of Penelope that Lucas is a knave.", "Lucas cannot be a knave, because this would contradict the false claim of their own that Penelope is a knight or Penelope is a knave.", "We have exhausted all possibilities for Lucas, so let us go back and reconsider Penelope.", "Assume Penelope 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 Penelope is a knight or Penelope is a knave.", "Emily 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 Emily is a knave. No contradiction is found in their false claim that Penelope is a knight if and only if Penelope is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 2), ('<=>', ('telling-truth', 0), ('lying', 0)), ('or', ('telling-truth', 0), ('lying', 0)))", "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 3 inhabitants: Amelia, Penelope, and Evelyn. Amelia said that Evelyn is not a knight. Penelope was heard saying, \"Penelope is a knight or Evelyn is a knave\". Evelyn was heard saying, \"Penelope is a knight if and only if Penelope is a knave\". So who is a knight and who is a knave?", "names": ["Amelia", "Penelope", "Evelyn"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Amelia is a knight, Penelope is a knight, and Evelyn is a knave.", "solution_text_format": "(1) Amelia is a knight\n(2) Penelope is a knight\n(3) 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 Amelia 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 Amelia that Evelyn is not a knight.", "Assume Evelyn 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 Penelope is a knight or Evelyn is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 2)), ('or', ('telling-truth', 1), ('lying', 2)), ('<=>', ('telling-truth', 1), ('lying', 1)))", "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 3 inhabitants: Michael, Evelyn, and Victoria. Michael told you that If Victoria is a knave then Evelyn is a knight. \"Michael is a knight,\" Evelyn mentioned. Victoria said that Michael is a knave or Evelyn is a knave. So who is a knight and who is a knave?", "names": ["Michael", "Evelyn", "Victoria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Michael is a knight, Evelyn is a knight, and Victoria is a knave.", "solution_text_format": "(1) Michael is a knight\n(2) Evelyn is a knight\n(3) 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 Michael is a knight. No contradiction is found in their claim that If Victoria is a knave then Evelyn is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that Michael is a knave or Evelyn is a knave.", "Evelyn cannot be a knight, because this would contradict the claim of Victoria that Michael is a knave or Evelyn is a knave.", "Evelyn cannot be a knave, because this would contradict the false claim of their own that Michael is a knight.", "We have exhausted all possibilities for Evelyn, so let us go back and reconsider Victoria.", "Assume Victoria is a knave. No contradiction is found in their false claim that Michael is a knave or Evelyn is a knave.", "Assume Evelyn is a knight. No contradiction is found in their claim that Michael is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 2), ('telling-truth', 1)), ('telling-truth', 0), ('or', ('lying', 0), ('lying', 1)))", "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 3 inhabitants: William, Alexander, and Ella. As William put it, \"Ella is a knave or Alexander is a knave\". According to Alexander, \"If William is a knave then Ella is a knave\". Ella remarked, \"If Alexander is a knight then William is a knave\". So who is a knight and who is a knave?", "names": ["William", "Alexander", "Ella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "William is a knight, Alexander is a knight, and Ella is a knave.", "solution_text_format": "(1) William is a knight\n(2) Alexander is a knight\n(3) 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 William is a knight. No contradiction is found in their claim that Ella is a knave or Alexander is a knave.", "Assume Ella is a knight. No contradiction is found in their claim that If Alexander is a knight then William is a knave.", "Alexander cannot be a knight, because this would contradict the claim of William that Ella is a knave or Alexander is a knave.", "Alexander cannot be a knave, because this would contradict the false claim of their own that If William is a knave then Ella is a knave.", "We have exhausted all possibilities for Alexander, so let us go back and reconsider Ella.", "Assume Ella is a knave. No contradiction is found in their false claim that If Alexander is a knight then William is a knave.", "Assume Alexander is a knight. No contradiction is found in their claim that If William is a knave then Ella is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 2), ('lying', 1)), ('->', ('lying', 0), ('lying', 2)), ('->', ('telling-truth', 1), ('lying', 0)))", "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 3 inhabitants: Samuel, Ella, and Logan. Samuel commented, \"Logan is a knight if and only if Logan is a knave\". Ella remarked, \"Ella is a knight\". In Logan's words: \"If Logan is a knight then Ella is a knave\". So who is a knight and who is a knave?", "names": ["Samuel", "Ella", "Logan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Samuel is a knave, Ella is a knave, and Logan is a knight.", "solution_text_format": "(1) Samuel is a knave\n(2) Ella is a knave\n(3) 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": ["Samuel cannot be a knight, because this would contradict the claim of their own that Logan is a knight if and only if Logan is a knave.", "Assume Samuel is a knave. No contradiction is found in their false claim that Logan is a knight if and only if Logan is a knave.", "Assume Logan is a knight. No contradiction is found in their claim that If Logan is a knight then Ella is a knave.", "Ella cannot be a knight, because this would contradict the claim of Logan that If Logan is a knight then Ella is a knave.", "Assume Ella 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', 2), ('lying', 2)), ('telling-truth', 1), ('->', ('telling-truth', 2), ('lying', 1)))", "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 3 inhabitants: Daniel, Abigail, and Avery. Daniel remarked, \"If Avery is a knave then Abigail is a knave\". In a statement by Abigail: \"Avery is a knight and Daniel is a knave\". Avery noted, \"Abigail is not a knave\". So who is a knight and who is a knave?", "names": ["Daniel", "Abigail", "Avery"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false], "solution_text": "Daniel is a knight, Abigail is a knave, and Avery is a knave.", "solution_text_format": "(1) Daniel is a knight\n(2) Abigail is a knave\n(3) 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 Daniel is a knight. No contradiction is found in their claim that If Avery is a knave then Abigail is a knave.", "Assume Avery is a knight. No contradiction is found in their claim that Abigail is not a knave.", "Abigail cannot be a knight, because this would contradict the claim of their own that Avery is a knight and Daniel is a knave.", "Abigail cannot be a knave, because this would contradict the claim of Avery that Abigail is not 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 knave.", "Abigail cannot be a knight, because this would contradict the claim of Daniel that If Avery is a knave then Abigail is a knave.", "Assume Abigail is a knave. No contradiction is found in their false claim that Avery is a knight and Daniel is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 2), ('lying', 1)), ('and', ('telling-truth', 2), ('lying', 0)), ('not', ('lying', 1)))", "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 3 inhabitants: Riley, Grace, and Zoey. Riley stated, \"Zoey is a knight if and only if Zoey is a knave\". Grace told you that Zoey is a knight or Riley is a knight. As Zoey put it, \"Grace is a knave and Grace is a knight\". So who is a knight and who is a knave?", "names": ["Riley", "Grace", "Zoey"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false], "solution_text": "Riley is a knave, Grace is a knave, and Zoey is a knave.", "solution_text_format": "(1) Riley is a knave\n(2) Grace is a knave\n(3) 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": ["Riley 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 Riley is a knave. No contradiction is found in their false claim that Zoey 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 Grace is a knave and Grace is a knight.", "Assume Zoey is a knave. No contradiction is found in their false claim that Grace is a knave and Grace is a knight.", "Grace cannot be a knight, because this would contradict the claim of their own that Zoey is a knight or Riley is a knight.", "Assume Grace is a knave. No contradiction is found in their false claim that Zoey is a knight or Riley is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 2), ('lying', 2)), ('or', ('telling-truth', 2), ('telling-truth', 0)), ('and', ('lying', 1), ('telling-truth', 1)))", "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 3 inhabitants: Samuel, Emily, and Liam. Samuel asserted: \"If Liam is a knave then Liam is a knight\". Emily commented, \"If Liam is a knave then Samuel is a knave\". Liam stated, \"Emily is a knight\". So who is a knight and who is a knave?", "names": ["Samuel", "Emily", "Liam"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Samuel is a knight, Emily is a knight, and Liam is a knight.", "solution_text_format": "(1) Samuel is a knight\n(2) Emily is a knight\n(3) 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 Samuel is a knight. No contradiction is found in their claim that If Liam is a knave then Liam is a knight.", "Assume Liam 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 Liam is a knave then Samuel is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 2), ('telling-truth', 2)), ('->', ('lying', 2), ('lying', 0)), ('telling-truth', 1))", "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 3 inhabitants: Penelope, Oliver, and Chloe. Penelope expressed that Chloe is a knight. According to Oliver, \"Penelope is a knight\". Chloe stated, \"Chloe is a knight if and only if Oliver is a knight\". So who is a knight and who is a knave?", "names": ["Penelope", "Oliver", "Chloe"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Penelope is a knight, Oliver is a knight, and Chloe is a knight.", "solution_text_format": "(1) Penelope is a knight\n(2) Oliver is a knight\n(3) 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 Penelope 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 if and only if Oliver is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that Penelope is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 2), ('telling-truth', 0), ('<=>', ('telling-truth', 2), ('telling-truth', 1)))", "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 3 inhabitants: Lily, Matthew, and Riley. In a statement by Lily: \"Lily is a knight if and only if Riley is a knight\". \"Lily is a knave,\" Matthew claimed. According to Riley, \"Lily is a knave if and only if Riley is a knight\". So who is a knight and who is a knave?", "names": ["Lily", "Matthew", "Riley"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Lily is a knave, Matthew is a knight, and Riley is a knight.", "solution_text_format": "(1) Lily is a knave\n(2) Matthew is a knight\n(3) 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 Lily is a knight. No contradiction is found in their claim that Lily is a knight if and only if Riley is a knight.", "Riley cannot be a knight, because this would contradict the claim of their own that Lily is a knave if and only if Riley is a knight.", "Riley cannot be a knave, because this would contradict the claim of Lily that Lily is a knight if and only if Riley is a knight.", "We have exhausted all possibilities for Riley, 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 Riley is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that Lily is a knave if and only if Riley is a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that Lily is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 0), ('telling-truth', 2)), ('lying', 0), ('<=>', ('lying', 0), ('telling-truth', 2)))", "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 3 inhabitants: Jack, Penelope, and Alexander. \"Penelope is a knave or Penelope is a knight,\" Jack declared. \"Alexander is a knight or Alexander is a knave\" - Penelope. Alexander told you that Penelope is not a knave. So who is a knight and who is a knave?", "names": ["Jack", "Penelope", "Alexander"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Jack is a knight, Penelope is a knight, and Alexander is a knight.", "solution_text_format": "(1) Jack is a knight\n(2) Penelope is a knight\n(3) 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 Jack is a knight. No contradiction is found in their claim that Penelope is a knave or Penelope is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that Alexander is a knight or Alexander is a knave.", "Assume Alexander 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": "(('or', ('lying', 1), ('telling-truth', 1)), ('or', ('telling-truth', 2), ('lying', 2)), ('not', ('lying', 1)))", "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 3 inhabitants: Aurora, Logan, and Henry. According to Aurora, \"Logan is a knave or Logan is a knight\". Logan remarked, \"Henry is a knight and Logan is a knight\". Henry stated, \"Logan is a knight and Logan is a knave\". So who is a knight and who is a knave?", "names": ["Aurora", "Logan", "Henry"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false], "solution_text": "Aurora is a knight, Logan is a knave, and Henry is a knave.", "solution_text_format": "(1) Aurora is a knight\n(2) Logan is a knave\n(3) 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 Aurora 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 Henry is a knight and Logan is a knight.", "Henry cannot be a knight, because this would contradict the claim of their own that Logan is a knight and Logan is a knave.", "Henry cannot be a knave, because this would contradict the claim of Logan that Henry is a knight and Logan is a knight.", "We have exhausted all possibilities for 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 and Logan is a knight.", "Henry cannot be a knight, because this would contradict the claim of their own that Logan is a knight and Logan is a knave.", "Assume Henry is a knave. No contradiction is found in their false claim that Logan is a knight and Logan is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('telling-truth', 1)), ('and', ('telling-truth', 2), ('telling-truth', 1)), ('and', ('telling-truth', 1), ('lying', 1)))", "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 3 inhabitants: Daniel, David, and Scarlett. \"If David is a knight then Scarlett is a knave,\" Daniel claimed. David expressed that David is a knight and Scarlett is a knight. \"Daniel is a knight if and only if Daniel is a knave,\" Scarlett mentioned. So who is a knight and who is a knave?", "names": ["Daniel", "David", "Scarlett"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false], "solution_text": "Daniel is a knight, David is a knave, and Scarlett is a knave.", "solution_text_format": "(1) Daniel is a knight\n(2) David is a knave\n(3) 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 Daniel is a knight. No contradiction is found in their claim that If David is a knight then Scarlett is a knave.", "Assume David is a knight. No contradiction is found in their claim that David is a knight and Scarlett is a knight.", "Scarlett cannot be a knight, because this would contradict the claim of Daniel that If David is a knight then Scarlett is a knave.", "Scarlett cannot be a knave, because this would contradict the claim of David that David is a knight and Scarlett is a knight.", "We have exhausted all possibilities for Scarlett, 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 Scarlett is a knight.", "Scarlett 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 Scarlett is a knave. No contradiction is found in their false claim that Daniel is a knight if and only if Daniel is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 1), ('lying', 2)), ('and', ('telling-truth', 1), ('telling-truth', 2)), ('<=>', ('telling-truth', 0), ('lying', 0)))", "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 3 inhabitants: Evelyn, Ethan, and Oliver. \"Oliver is a knight and Ethan is a knight,\" Evelyn declared. Ethan stated, \"Ethan is a knight or Oliver is a knave\". Oliver said that Ethan is a knight. So who is a knight and who is a knave?", "names": ["Evelyn", "Ethan", "Oliver"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Evelyn is a knight, Ethan is a knight, and Oliver is a knight.", "solution_text_format": "(1) Evelyn is a knight\n(2) Ethan is a knight\n(3) 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 Evelyn is a knight. No contradiction is found in their claim that Oliver is a knight and Ethan is a knight.", "Assume Oliver 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 Ethan is a knight or Oliver is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 2), ('telling-truth', 1)), ('or', ('telling-truth', 1), ('lying', 2)), ('telling-truth', 1))", "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 3 inhabitants: Sophia, Olivia, and Samuel. In Sophia's words: \"Samuel is a knight if and only if Olivia is a knave\". Olivia expressed that Sophia is a knave if and only if Olivia is a knight. \"Olivia is a knight or Sophia is a knave,\" Samuel declared. So who is a knight and who is a knave?", "names": ["Sophia", "Olivia", "Samuel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Sophia is a knave, Olivia is a knight, and Samuel is a knight.", "solution_text_format": "(1) Sophia is a knave\n(2) Olivia is a knight\n(3) 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 Sophia is a knight. No contradiction is found in their claim that Samuel is a knight if and only if Olivia is a knave.", "Assume Samuel is a knight. No contradiction is found in their claim that Olivia is a knight or Sophia is a knave.", "Olivia cannot be a knight, because this would contradict the claim of Sophia that Samuel is a knight if and only if Olivia is a knave.", "Olivia cannot be a knave, because this would contradict the false claim of their own that Sophia 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 Samuel.", "Assume Samuel is a knave. No contradiction is found in their false claim that Olivia is a knight or Sophia is a knave.", "Olivia cannot be a knight, because this would contradict the claim of their own that Sophia is a knave if and only if Olivia is a knight.", "Olivia cannot be a knave, because this would contradict the claim of Sophia that Samuel is a knight if and only if Olivia is a knave.", "We have exhausted all possibilities for Olivia and Samuel, so let us go back and reconsider Sophia.", "Assume Sophia is a knave. No contradiction is found in their false claim that Samuel is a knight if and only if Olivia is a knave.", "Assume Samuel is a knight. No contradiction is found in their claim that Olivia is a knight or Sophia is a knave.", "Assume Olivia is a knight. No contradiction is found in their claim that Sophia is a knave if and only if Olivia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 2), ('lying', 1)), ('<=>', ('lying', 0), ('telling-truth', 1)), ('or', ('telling-truth', 1), ('lying', 0)))", "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 3 inhabitants: Benjamin, Logan, and Zoey. Benjamin was heard saying, \"Logan is a knave\". In Logan's words: \"Logan is a knight and Zoey is a knight\". \"Logan is a knight if and only if Zoey is a knight\" - Zoey. So who is a knight and who is a knave?", "names": ["Benjamin", "Logan", "Zoey"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Benjamin is a knave, Logan is a knight, and Zoey is a knight.", "solution_text_format": "(1) Benjamin is a knave\n(2) Logan is a knight\n(3) 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 Benjamin 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 Benjamin that Logan is a knave.", "Assume Logan is a knave. No contradiction is found in their false claim that Logan is a knight and Zoey is a knight.", "Zoey cannot be a knight, because this would contradict the claim of their own that Logan is a knight if and only if Zoey is a knight.", "Zoey cannot be a knave, because this would contradict the false claim of their own that Logan is a knight if and only if Zoey is a knight.", "We have exhausted all possibilities for Zoey and Logan, so let us go back and reconsider Benjamin.", "Assume Benjamin 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 Logan is a knight and Zoey is a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that Logan is a knight if and only if Zoey is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('and', ('telling-truth', 1), ('telling-truth', 2)), ('<=>', ('telling-truth', 1), ('telling-truth', 2)))", "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 3 inhabitants: Logan, Ella, and Sofia. According to Logan, \"Sofia is not a knave\". \"Logan is not a knave,\" Ella mentioned. As Sofia put it, \"Logan is a knave or Logan is a knight\". So who is a knight and who is a knave?", "names": ["Logan", "Ella", "Sofia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Logan is a knight, Ella is a knight, and Sofia is a knight.", "solution_text_format": "(1) Logan is a knight\n(2) Ella is a knight\n(3) 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 Logan 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 Logan is a knave or Logan is a knight.", "Assume Ella is a knight. No contradiction is found in their claim that Logan is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 2)), ('not', ('lying', 0)), ('or', ('lying', 0), ('telling-truth', 0)))", "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 3 inhabitants: Avery, Michael, and Alexander. In Avery's words: \"Michael is a knight and Alexander is a knight\". According to Michael, \"Avery is a knight if and only if Alexander is a knave\". Alexander said, \"Michael is a knight if and only if Michael is a knave.\" So who is a knight and who is a knave?", "names": ["Avery", "Michael", "Alexander"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false], "solution_text": "Avery is a knave, Michael is a knave, and Alexander is a knave.", "solution_text_format": "(1) Avery is a knave\n(2) Michael is a knave\n(3) 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 Michael is a knight and Alexander is a knight.", "Assume Michael is a knight. No contradiction is found in their claim that Avery is a knight if and only if Alexander is a knave.", "Alexander cannot be a knight, because this would contradict the claim of Michael that Avery is a knight if and only if Alexander is a knave.", "Alexander cannot be a knave, because this would contradict the claim of Avery that Michael is a knight and Alexander is a knight.", "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 claim of Avery that Michael is a knight and Alexander is a knight.", "We have exhausted all possibilities for Michael, so let us go back and reconsider Avery.", "Assume Avery is a knave. No contradiction is found in their false claim that Michael is a knight and Alexander is a knight.", "Assume Michael is a knight. No contradiction is found in their claim that Avery is a knight if and only if Alexander is a knave.", "Alexander cannot be a knight, because this would contradict the false claim of Avery that Michael is a knight and Alexander is a knight.", "Alexander cannot be a knave, because this would contradict the claim of Michael that Avery 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 Michael.", "Assume Michael is a knave. No contradiction is found in their false claim that Avery is a knight if and only if Alexander is a knave.", "Alexander cannot be a knight, because this would contradict the false claim of Michael that Avery 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 Michael is a knight if and only if Michael is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('telling-truth', 2)), ('<=>', ('telling-truth', 0), ('lying', 2)), ('<=>', ('telling-truth', 1), ('lying', 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 3 inhabitants: Lily, Scarlett, and Aria. Lily remarked, \"Aria is a knight if and only if Aria is a knave\". According to Scarlett, \"Lily is not a knave\". Aria remarked, \"Scarlett is a knight and Aria is a knight\". So who is a knight and who is a knave?", "names": ["Lily", "Scarlett", "Aria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false], "solution_text": "Lily is a knave, Scarlett is a knave, and Aria is a knave.", "solution_text_format": "(1) Lily is a knave\n(2) Scarlett is a knave\n(3) 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": ["Lily cannot be a knight, because this would contradict the claim of their own that Aria is a knight if and only if Aria is a knave.", "Assume Lily is a knave. No contradiction is found in their false claim that Aria is a knight if and only if Aria is a knave.", "Assume Aria is a knight. No contradiction is found in their claim that Scarlett is a knight and Aria is a knight.", "Scarlett cannot be a knight, because this would contradict the claim of their own that Lily is not a knave.", "Scarlett cannot be a knave, because this would contradict the claim of Aria that Scarlett is a knight and Aria is a knight.", "We have exhausted all possibilities for Scarlett, so let us go back and reconsider Aria.", "Assume Aria is a knave. No contradiction is found in their false claim that Scarlett is a knight and Aria is a knight.", "Scarlett cannot be a knight, because this would contradict the claim of their own that Lily is not a knave.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Lily is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 2), ('lying', 2)), ('not', ('lying', 0)), ('and', ('telling-truth', 1), ('telling-truth', 2)))", "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 3 inhabitants: Mia, Daniel, and Jacob. As Mia put it, \"If Jacob is a knave then Daniel is a knave\". \"If Jacob is a knave then Mia is a knave\" - Daniel. Jacob expressed that Daniel is not a knight. So who is a knight and who is a knave?", "names": ["Mia", "Daniel", "Jacob"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Mia is a knave, Daniel is a knight, and Jacob is a knave.", "solution_text_format": "(1) Mia is a knave\n(2) Daniel is a knight\n(3) 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 Mia is a knight. No contradiction is found in their claim that If Jacob is a knave then Daniel is a knave.", "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.", "Daniel cannot be a knave, because this would contradict the false claim of their own that If Jacob is a knave then Mia is a knave.", "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 not a knight.", "Daniel cannot be a knight, because this would contradict the claim of Mia that If Jacob is a knave then Daniel is a knave.", "Daniel cannot be a knave, because this would contradict the false claim of Jacob that Daniel is not a knight.", "We have exhausted all possibilities for Daniel and Jacob, so let us go back and reconsider Mia.", "Assume Mia is a knave. No contradiction is found in their false claim that If Jacob is a knave then Daniel is a knave.", "Jacob cannot be a knight, because this would contradict the false claim of Mia that If Jacob is a knave then Daniel is a knave.", "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 Jacob is a knave then Mia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 2), ('lying', 1)), ('->', ('lying', 2), ('lying', 0)), ('not', ('telling-truth', 1)))", "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 3 inhabitants: Samuel, Aurora, and Sophia. Samuel stated, \"Aurora is a knight if and only if Aurora is a knave\". \"Aurora is a knight or Sophia is a knave,\" Aurora mentioned. Sophia said that Aurora is a knave if and only if Samuel is a knight. So who is a knight and who is a knave?", "names": ["Samuel", "Aurora", "Sophia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Samuel is a knave, Aurora is a knight, and Sophia is a knight.", "solution_text_format": "(1) Samuel is a knave\n(2) Aurora is a knight\n(3) 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": ["Samuel cannot be a knight, because this would contradict the claim of their own that Aurora is a knight if and only if Aurora is a knave.", "Assume Samuel is a knave. No contradiction is found in their false claim that Aurora is a knight if and only if Aurora is a knave.", "Assume Aurora is a knight. No contradiction is found in their claim that Aurora is a knight or Sophia is a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that Aurora is a knave if and only if Samuel is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('lying', 1)), ('or', ('telling-truth', 1), ('lying', 2)), ('<=>', ('lying', 1), ('telling-truth', 0)))", "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 3 inhabitants: Charlotte, Grace, and Aurora. As Charlotte put it, \"Aurora is a knave and Aurora is a knight\". According to Grace, \"Aurora is a knight\". Aurora told you that Grace is a knave and Grace is a knight. So who is a knight and who is a knave?", "names": ["Charlotte", "Grace", "Aurora"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false], "solution_text": "Charlotte is a knave, Grace is a knave, and Aurora is a knave.", "solution_text_format": "(1) Charlotte is a knave\n(2) Grace is a knave\n(3) 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": ["Charlotte cannot be a knight, because this would contradict the claim of their own that Aurora is a knave and Aurora is a knight.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Aurora is a knave and Aurora is a knight.", "Aurora cannot be a knight, because this would contradict the claim of their own that Grace is a knave and Grace is a knight.", "Assume Aurora is a knave. No contradiction is found in their false claim that Grace is a knave and Grace is a knight.", "Grace cannot be a knight, because this would contradict the claim of their own that Aurora is a knight.", "Assume Grace is a knave. No contradiction is found in their false claim that Aurora is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('telling-truth', 2)), ('telling-truth', 2), ('and', ('lying', 1), ('telling-truth', 1)))", "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 3 inhabitants: Olivia, Sofia, and Alexander. In a statement by Olivia: \"Alexander is a knight or Alexander is a knave\". Sofia asserted: \"Alexander is a knave and Alexander is a knight\". Alexander said that Olivia is a knight. So who is a knight and who is a knave?", "names": ["Olivia", "Sofia", "Alexander"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Olivia is a knight, Sofia is a knave, and Alexander is a knight.", "solution_text_format": "(1) Olivia is a knight\n(2) Sofia is a knave\n(3) 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 Olivia is a knight. No contradiction is found in their claim that Alexander is a knight or Alexander is a knave.", "Assume Alexander is a knight. No contradiction is found in their claim that Olivia is a knight.", "Sofia cannot be a knight, because this would contradict the claim of their own that Alexander is a knave and Alexander is a knight.", "Assume Sofia is a knave. No contradiction is found in their false claim that Alexander is a knave and Alexander is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 2), ('lying', 2)), ('and', ('lying', 2), ('telling-truth', 2)), ('telling-truth', 0))", "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 3 inhabitants: Jack, Abigail, and Ethan. Jack noted, \"Jack is a knight and Ethan is a knave\". Abigail said that Jack is a knight. \"Abigail is a knave or Jack is a knight,\" Ethan declared. So who is a knight and who is a knave?", "names": ["Jack", "Abigail", "Ethan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Jack is a knave, Abigail is a knave, and Ethan is a knight.", "solution_text_format": "(1) Jack is a knave\n(2) Abigail is a knave\n(3) 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 Jack is a knight. No contradiction is found in their claim that Jack is a knight and Ethan is a knave.", "Ethan cannot be a knight, because this would contradict the claim of Jack that Jack is a knight and Ethan is a knave.", "Ethan cannot be a knave, because this would contradict the false claim of their own that Abigail is a knave or Jack is a knight.", "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 Jack is a knight and Ethan is a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that Abigail is a knave or Jack is a knight.", "Abigail cannot be a knight, because this would contradict the claim of their own that Jack is a knight.", "Assume Abigail 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": "(('and', ('telling-truth', 0), ('lying', 2)), ('telling-truth', 0), ('or', ('lying', 1), ('telling-truth', 0)))", "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 3 inhabitants: Lucas, Victoria, and Ella. \"Victoria is a knight or Victoria is a knave,\" Lucas claimed. Victoria expressed that Victoria is a knight and Lucas is a knave. In a statement by Ella: \"Lucas is a knave or Lucas is a knight\". So who is a knight and who is a knave?", "names": ["Lucas", "Victoria", "Ella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Lucas is a knight, Victoria is a knave, and Ella is a knight.", "solution_text_format": "(1) Lucas is a knight\n(2) Victoria is a knave\n(3) 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 Victoria is a knight or Victoria is a knave.", "Victoria cannot be a knight, because this would contradict the claim of their own that Victoria is a knight and Lucas is a knave.", "Assume Victoria is a knave. No contradiction is found in their false claim that Victoria is a knight and Lucas is a knave.", "Assume Ella is a knight. No contradiction is found in their claim that Lucas is a knave or Lucas is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 1), ('lying', 1)), ('and', ('telling-truth', 1), ('lying', 0)), ('or', ('lying', 0), ('telling-truth', 0)))", "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 3 inhabitants: Alexander, Sophia, and Chloe. \"If Chloe is a knight then Sophia is a knight,\" Alexander claimed. Sophia stated, \"If Chloe is a knight then Chloe is a knave\". According to Chloe, \"Sophia is a knight and Alexander is a knave\". So who is a knight and who is a knave?", "names": ["Alexander", "Sophia", "Chloe"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Alexander is a knight, Sophia is a knight, and Chloe is a knave.", "solution_text_format": "(1) Alexander is a knight\n(2) Sophia is a knight\n(3) 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 Alexander is a knight. No contradiction is found in their claim that If Chloe is a knight then Sophia is a knight.", "Chloe cannot be a knight, because this would contradict the claim of their own that Sophia is a knight and Alexander is a knave.", "Assume Chloe is a knave. No contradiction is found in their false claim that Sophia is a knight and Alexander is a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that If Chloe is a knight then Chloe is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 2), ('telling-truth', 1)), ('->', ('telling-truth', 2), ('lying', 2)), ('and', ('telling-truth', 1), ('lying', 0)))", "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 3 inhabitants: Charlotte, Ella, and Scarlett. \"Scarlett is a knave and Ella is a knight,\" Charlotte mentioned. \"Charlotte is not a knave\" - Ella. Scarlett was heard saying, \"Ella is a knight or Charlotte is a knave\". So who is a knight and who is a knave?", "names": ["Charlotte", "Ella", "Scarlett"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Charlotte is a knave, Ella is a knave, and Scarlett is a knight.", "solution_text_format": "(1) Charlotte is a knave\n(2) Ella is a knave\n(3) 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 Charlotte is a knight. No contradiction is found in their claim that Scarlett is a knave and Ella is a knight.", "Scarlett cannot be a knight, because this would contradict the claim of Charlotte that Scarlett is a knave and Ella is a knight.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Ella is a knight or Charlotte is a knave.", "Ella cannot be a knight, because this would contradict the false claim of Scarlett that Ella is a knight or Charlotte is a knave.", "Ella cannot be a knave, because this would contradict the claim of Charlotte that Scarlett is a knave and Ella is a knight.", "We have exhausted all possibilities for Ella 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 a knave and Ella is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that Ella is a knight or Charlotte is a knave.", "Ella cannot be a knight, because this would contradict the claim of their own that Charlotte is not a knave.", "Assume Ella is a knave. No contradiction is found in their false claim that Charlotte is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('telling-truth', 1)), ('not', ('lying', 0)), ('or', ('telling-truth', 1), ('lying', 0)))", "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 3 inhabitants: Noah, Alexander, and Lily. Noah commented, \"If Noah is a knight then Alexander is a knight\". \"Noah is a knight or Alexander is a knight,\" Alexander mentioned. Lily expressed that Noah is not a knight. So who is a knight and who is a knave?", "names": ["Noah", "Alexander", "Lily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Noah is a knight, Alexander is a knight, and Lily is a knave.", "solution_text_format": "(1) Noah is a knight\n(2) Alexander is a knight\n(3) 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 Noah is a knight. No contradiction is found in their claim that If Noah is a knight then Alexander is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that Noah is a knight or Alexander is a knight.", "Lily cannot be a knight, because this would contradict the claim of their own that Noah is not a knight.", "Assume Lily is a knave. No contradiction is found in their false claim that Noah is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 0), ('telling-truth', 1)), ('or', ('telling-truth', 0), ('telling-truth', 1)), ('not', ('telling-truth', 0)))", "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 3 inhabitants: Jack, Scarlett, and Aiden. As Jack put it, \"Aiden is a knight\". According to Scarlett, \"Jack is a knave\". In a statement by Aiden: \"Jack is a knave if and only if Aiden is a knight\". So who is a knight and who is a knave?", "names": ["Jack", "Scarlett", "Aiden"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Jack is a knave, Scarlett is a knight, and Aiden is a knave.", "solution_text_format": "(1) Jack is a knave\n(2) Scarlett is a knight\n(3) 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 Jack is a knight. No contradiction is found in their claim that Aiden is a knight.", "Aiden cannot be a knight, because this would contradict the claim of their own that Jack is a knave if and only if Aiden is a knight.", "Aiden cannot be a knave, because this would contradict the claim of Jack that Aiden is a knight.", "We have exhausted all possibilities for Aiden, so let us go back and reconsider Jack.", "Assume Jack 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 Jack that Aiden is a knight.", "Assume Aiden is a knave. No contradiction is found in their false claim that Jack is a knave if and only if Aiden is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that Jack is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 2), ('lying', 0), ('<=>', ('lying', 0), ('telling-truth', 2)))", "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 3 inhabitants: Abigail, Matthew, and Owen. Abigail remarked, \"If Matthew is a knight then Matthew is a knave\". Matthew noted, \"Owen is a knight if and only if Abigail is a knave\". As Owen put it, \"Matthew is not a knight\". So who is a knight and who is a knave?", "names": ["Abigail", "Matthew", "Owen"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Abigail is a knight, Matthew is a knave, and Owen is a knight.", "solution_text_format": "(1) Abigail is a knight\n(2) Matthew is a knave\n(3) 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 If Matthew is a knight then Matthew is a knave.", "Matthew cannot be a knight, because this would contradict the claim of Abigail that If Matthew is a knight then Matthew is a knave.", "Assume Matthew is a knave. No contradiction is found in their false claim that Owen is a knight if and only if Abigail is a knave.", "Assume Owen 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', 1), ('lying', 1)), ('<=>', ('telling-truth', 2), ('lying', 0)), ('not', ('telling-truth', 1)))", "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 3 inhabitants: Luke, Michael, and Zoey. \"Michael is a knight,\" Luke mentioned. \"If Michael is a knight then Zoey is a knave,\" Michael mentioned. \"Luke is not a knight,\" Zoey claimed. So who is a knight and who is a knave?", "names": ["Luke", "Michael", "Zoey"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Luke is a knight, Michael is a knight, and Zoey is a knave.", "solution_text_format": "(1) Luke is a knight\n(2) Michael is a knight\n(3) 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 Luke 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 Michael is a knight then Zoey is a knave.", "Zoey cannot be a knight, because this would contradict the claim of Michael that If Michael is a knight then Zoey is a knave.", "Assume Zoey 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', 1), ('->', ('telling-truth', 1), ('lying', 2)), ('not', ('telling-truth', 0)))", "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 3 inhabitants: Lucas, Jackson, and Victoria. \"Lucas is a knight if and only if Jackson is a knight,\" Lucas claimed. \"Lucas is a knave,\" Jackson claimed. Victoria remarked, \"Jackson is a knight or Jackson is a knave\". So who is a knight and who is a knave?", "names": ["Lucas", "Jackson", "Victoria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Lucas is a knave, Jackson is a knight, and Victoria is a knight.", "solution_text_format": "(1) Lucas is a knave\n(2) Jackson is a knight\n(3) 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 Lucas is a knight. No contradiction is found in their claim that Lucas is a knight if and only if Jackson is a knight.", "Jackson cannot be a knight, because this would contradict the claim of their own that Lucas is a knave.", "Jackson cannot be a knave, because this would contradict the claim of Lucas that Lucas is a knight if and only if Jackson is a knight.", "We have exhausted all possibilities for Jackson, so let us go back and reconsider Lucas.", "Assume Lucas is a knave. No contradiction is found in their false claim that Lucas is a knight if and only if Jackson is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that Lucas is a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that Jackson is a knight or Jackson is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 0), ('telling-truth', 1)), ('lying', 0), ('or', ('telling-truth', 1), ('lying', 1)))", "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 3 inhabitants: Aiden, David, and Abigail. Aiden told you that Abigail is a knave. David told you that Aiden is a knave or Abigail is a knave. \"David is a knight if and only if David is a knave\" - Abigail. So who is a knight and who is a knave?", "names": ["Aiden", "David", "Abigail"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Aiden is a knight, David is a knight, and Abigail is a knave.", "solution_text_format": "(1) Aiden is a knight\n(2) David is a knight\n(3) 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 Aiden 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 Aiden that Abigail is a knave.", "Assume Abigail is a knave. No contradiction is found in their false claim that David is a knight if and only if David is a knave.", "Assume David is a knight. No contradiction is found in their claim that Aiden is a knave or Abigail is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 2), ('or', ('lying', 0), ('lying', 2)), ('<=>', ('telling-truth', 1), ('lying', 1)))", "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 3 inhabitants: Matthew, Jacob, and Abigail. \"If Abigail is a knave then Abigail is a knight,\" Matthew mentioned. Jacob stated, \"Matthew is not a knave\". As Abigail put it, \"Abigail is a knight or Matthew is a knave\". So who is a knight and who is a knave?", "names": ["Matthew", "Jacob", "Abigail"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Matthew is a knight, Jacob is a knight, and Abigail is a knight.", "solution_text_format": "(1) Matthew is a knight\n(2) Jacob is a knight\n(3) 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 If Abigail is a knave then Abigail is a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that Abigail is a knight or Matthew is a knave.", "Assume Jacob is a knight. No contradiction is found in their claim that Matthew is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 2), ('telling-truth', 2)), ('not', ('lying', 0)), ('or', ('telling-truth', 2), ('lying', 0)))", "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 3 inhabitants: Sebastian, Ava, and Amelia. \"Amelia is a knave and Ava is a knave,\" Sebastian declared. \"Sebastian is a knave,\" Ava declared. Amelia expressed that Sebastian is a knight if and only if Amelia is a knight. So who is a knight and who is a knave?", "names": ["Sebastian", "Ava", "Amelia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false], "solution_text": "Sebastian is a knight, Ava is a knave, and Amelia is a knave.", "solution_text_format": "(1) Sebastian is a knight\n(2) Ava is a knave\n(3) 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 Sebastian is a knight. No contradiction is found in their claim that Amelia is a knave and Ava is a knave.", "Amelia cannot be a knight, because this would contradict the claim of Sebastian that Amelia is a knave and Ava is a knave.", "Assume Amelia is a knave. No contradiction is found in their false claim that Sebastian is a knight if and only if Amelia is a knight.", "Ava cannot be a knight, because this would contradict the claim of Sebastian that Amelia is a knave and Ava is a knave.", "Assume Ava 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": "(('and', ('lying', 2), ('lying', 1)), ('lying', 0), ('<=>', ('telling-truth', 0), ('telling-truth', 2)))", "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 3 inhabitants: Owen, Logan, and Chloe. In Owen's words: \"Owen is a knight and Chloe is a knave\". As Logan put it, \"Chloe is a knave\". Chloe remarked, \"Owen is a knight if and only if Chloe is a knight\". So who is a knight and who is a knave?", "names": ["Owen", "Logan", "Chloe"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Owen is a knight, Logan is a knight, and Chloe is a knave.", "solution_text_format": "(1) Owen is a knight\n(2) Logan is a knight\n(3) 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 Owen is a knight. No contradiction is found in their claim that Owen is a knight and Chloe is a knave.", "Chloe cannot be a knight, because this would contradict the claim of Owen that Owen is a knight and Chloe is a knave.", "Assume Chloe is a knave. No contradiction is found in their false claim that Owen is a knight if and only if Chloe is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that Chloe is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 0), ('lying', 2)), ('lying', 2), ('<=>', ('telling-truth', 0), ('telling-truth', 2)))", "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 3 inhabitants: Evelyn, William, and Mia. As Evelyn put it, \"Mia is a knave if and only if Evelyn is a knight\". William remarked, \"Mia is a knave\". \"Evelyn is a knight if and only if Mia is a knight,\" Mia mentioned. So who is a knight and who is a knave?", "names": ["Evelyn", "William", "Mia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Evelyn is a knight, William is a knight, and Mia is a knave.", "solution_text_format": "(1) Evelyn is a knight\n(2) William is a knight\n(3) 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 Mia is a knave if and only if Evelyn is a knight.", "Mia cannot be a knight, because this would contradict the claim of Evelyn that Mia is a knave if and only if Evelyn is a knight.", "Assume Mia is a knave. No contradiction is found in their false claim that Evelyn is a knight if and only if Mia is a knight.", "Assume William is a knight. No contradiction is found in their claim that Mia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 2), ('telling-truth', 0)), ('lying', 2), ('<=>', ('telling-truth', 0), ('telling-truth', 2)))", "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 3 inhabitants: Matthew, Sebastian, and Liam. As Matthew put it, \"Sebastian is a knight or Sebastian is a knave\". \"Matthew is a knight if and only if Liam is a knave,\" Sebastian mentioned. In Liam's words: \"Liam is a knight if and only if Sebastian is a knave\". So who is a knight and who is a knave?", "names": ["Matthew", "Sebastian", "Liam"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Matthew is a knight, Sebastian is a knave, and Liam is a knight.", "solution_text_format": "(1) Matthew is a knight\n(2) Sebastian is a knave\n(3) 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 Matthew is a knight. No contradiction is found in their claim that Sebastian is a knight or Sebastian is a knave.", "Assume Sebastian is a knight. No contradiction is found in their claim that Matthew is a knight if and only if Liam is a knave.", "Liam cannot be a knight, because this would contradict the claim of Sebastian that Matthew 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 if and only if Sebastian is a knave.", "We have exhausted all possibilities for Liam, so let us go back and reconsider Sebastian.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Matthew is a knight if and only if Liam is a knave.", "Assume Liam is a knight. No contradiction is found in their claim that Liam is a knight if and only if Sebastian is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 1), ('lying', 1)), ('<=>', ('telling-truth', 0), ('lying', 2)), ('<=>', ('telling-truth', 2), ('lying', 1)))", "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 3 inhabitants: Avery, Oliver, and Scarlett. Avery told you that Scarlett is a knight if and only if Scarlett is a knave. In Oliver's words: \"Avery is a knave and Scarlett is a knight\". Scarlett expressed that Oliver is a knave and Scarlett is a knight. So who is a knight and who is a knave?", "names": ["Avery", "Oliver", "Scarlett"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false], "solution_text": "Avery is a knave, Oliver is a knave, and Scarlett is a knave.", "solution_text_format": "(1) Avery is a knave\n(2) Oliver is a knave\n(3) 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": ["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.", "Assume Scarlett is a knight. No contradiction is found in their claim that Oliver is a knave and Scarlett is a knight.", "Oliver cannot be a knight, because this would contradict the claim of Scarlett that Oliver is a knave and Scarlett is a knight.", "Oliver cannot be a knave, because this would contradict the false claim of their own that Avery is a knave and Scarlett 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 a knave and Scarlett is a knight.", "Oliver cannot be a knight, because this would contradict the claim of their own that Avery is a knave and Scarlett is a knight.", "Assume Oliver is a knave. No contradiction is found in their false claim that Avery is a knave and Scarlett is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 2), ('lying', 2)), ('and', ('lying', 0), ('telling-truth', 2)), ('and', ('lying', 1), ('telling-truth', 2)))", "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 3 inhabitants: Chloe, Jack, and Benjamin. Chloe asserted: \"Jack is a knave and Benjamin is a knight\". Jack commented, \"Benjamin is a knight and Benjamin is a knave\". Benjamin commented, \"Chloe is a knight and Jack is a knight\". So who is a knight and who is a knave?", "names": ["Chloe", "Jack", "Benjamin"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false], "solution_text": "Chloe is a knave, Jack is a knave, and Benjamin is a knave.", "solution_text_format": "(1) Chloe is a knave\n(2) Jack is a knave\n(3) 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 Chloe is a knight. No contradiction is found in their claim that Jack is a knave and Benjamin is a knight.", "Jack cannot be a knight, because this would contradict the claim of Chloe that Jack is a knave and Benjamin is a knight.", "Assume Jack is a knave. No contradiction is found in their false claim that Benjamin is a knight and Benjamin is a knave.", "Benjamin cannot be a knight, because this would contradict the claim of their own that Chloe is a knight and Jack is a knight.", "Benjamin cannot be a knave, because this would contradict the claim of Chloe that Jack is a knave and Benjamin is a knight.", "We have exhausted all possibilities for Benjamin 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 Benjamin is a knight.", "Jack cannot be a knight, because this would contradict the claim of their own that Benjamin is a knight and Benjamin is a knave.", "Assume Jack is a knave. No contradiction is found in their false claim that Benjamin is a knight and Benjamin is a knave.", "Benjamin cannot be a knight, because this would contradict the false claim of Chloe that Jack is a knave and Benjamin is a knight.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Chloe is a knight and Jack is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('telling-truth', 2)), ('and', ('telling-truth', 2), ('lying', 2)), ('and', ('telling-truth', 0), ('telling-truth', 1)))", "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 3 inhabitants: Emily, William, and Noah. Emily told you that William is not a knave. As William put it, \"Noah is not a knave\". Noah asserted: \"If William is a knight then Noah is a knight\". So who is a knight and who is a knave?", "names": ["Emily", "William", "Noah"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Emily is a knight, William is a knight, and Noah is a knight.", "solution_text_format": "(1) Emily is a knight\n(2) William is a knight\n(3) 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 Emily 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 Noah is not a knave.", "Assume Noah is a knight. No contradiction is found in their claim that If William is a knight then Noah is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 1)), ('not', ('lying', 2)), ('->', ('telling-truth', 1), ('telling-truth', 2)))", "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 3 inhabitants: Oliver, Samuel, and Chloe. Oliver stated, \"Chloe is a knight and Samuel is a knight\". \"If Oliver is a knave then Chloe is a knight,\" Samuel claimed. Chloe said, \"Oliver is a knave if and only if Samuel is a knight.\" So who is a knight and who is a knave?", "names": ["Oliver", "Samuel", "Chloe"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false], "solution_text": "Oliver is a knave, Samuel is a knave, and Chloe is a knave.", "solution_text_format": "(1) Oliver is a knave\n(2) Samuel is a knave\n(3) 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 Chloe is a knight and Samuel is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that Oliver is a knave if and only if Samuel is a knight.", "Samuel cannot be a knight, because this would contradict the claim of Chloe that Oliver is a knave if and only if Samuel is a knight.", "Samuel cannot be a knave, because this would contradict the claim of Oliver that Chloe is a knight and Samuel is a knight.", "We have exhausted all possibilities for Samuel, so let us go back and reconsider Chloe.", "Chloe cannot be a knave, because this would contradict the claim of Oliver that Chloe is a knight and Samuel is a knight.", "We have exhausted all possibilities for Chloe, so let us go back and reconsider Oliver.", "Assume Oliver is a knave. No contradiction is found in their false claim that Chloe is a knight and Samuel is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that Oliver is a knave if and only if Samuel is a knight.", "Samuel cannot be a knight, because this would contradict the false claim of Oliver that Chloe is a knight and Samuel is a knight.", "Samuel cannot be a knave, because this would contradict the false claim of their own that If Oliver is a knave then Chloe is a knight.", "We have exhausted all possibilities for Samuel, so let us go back and reconsider Chloe.", "Assume Chloe is a knave. No contradiction is found in their false claim that Oliver is a knave if and only if Samuel is a knight.", "Samuel cannot be a knight, because this would contradict the claim of their own that If Oliver is a knave then Chloe is a knight.", "Assume Samuel is a knave. No contradiction is found in their false claim that If Oliver is a knave then Chloe is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 2), ('telling-truth', 1)), ('->', ('lying', 0), ('telling-truth', 2)), ('<=>', ('lying', 0), ('telling-truth', 1)))", "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 3 inhabitants: Ella, Luke, and Riley. Ella said that Riley is not a knight. Luke said that If Ella is a knave then Ella is a knight. According to Riley, \"Ella is a knave or Luke is a knight\". So who is a knight and who is a knave?", "names": ["Ella", "Luke", "Riley"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Ella is a knave, Luke is a knave, and Riley is a knight.", "solution_text_format": "(1) Ella is a knave\n(2) Luke is a knave\n(3) 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 Ella 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 Ella that Riley is not a knight.", "Assume Riley is a knave. No contradiction is found in their false claim that Ella is a knave or Luke is a knight.", "Luke cannot be a knight, because this would contradict the false claim of Riley that Ella is a knave or Luke is a knight.", "Luke cannot be a knave, because this would contradict the false claim of their own that If Ella is a knave then Ella is a knight.", "We have exhausted all possibilities for Luke and 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 knight.", "Assume Riley is a knight. No contradiction is found in their claim that Ella is a knave or Luke is a knight.", "Luke cannot be a knight, because this would contradict the claim of their own that If Ella is a knave then Ella is a knight.", "Assume Luke is a knave. No contradiction is found in their false claim that If Ella is a knave then Ella is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 2)), ('->', ('lying', 0), ('telling-truth', 0)), ('or', ('lying', 0), ('telling-truth', 1)))", "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 3 inhabitants: Logan, Alexander, and Lily. Logan was heard saying, \"If Alexander is a knight then Lily is a knight\". Alexander remarked, \"Logan is not a knave\". \"Alexander is a knave or Alexander is a knight,\" Lily claimed. So who is a knight and who is a knave?", "names": ["Logan", "Alexander", "Lily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Logan is a knight, Alexander is a knight, and Lily is a knight.", "solution_text_format": "(1) Logan is a knight\n(2) Alexander is a knight\n(3) 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 Logan is a knight. No contradiction is found in their claim that If Alexander is a knight then Lily is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that Logan is not a knave.", "Assume Lily is a knight. No contradiction is found in their claim that Alexander is a knave or Alexander is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 1), ('telling-truth', 2)), ('not', ('lying', 0)), ('or', ('lying', 1), ('telling-truth', 1)))", "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 3 inhabitants: Zoey, Liam, and Mason. Zoey remarked, \"Zoey is a knight and Mason is a knight\". Liam expressed that Zoey is a knave or Mason is a knight. Mason told you that Zoey is not a knight. So who is a knight and who is a knave?", "names": ["Zoey", "Liam", "Mason"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Zoey is a knave, Liam is a knight, and Mason is a knight.", "solution_text_format": "(1) Zoey is a knave\n(2) Liam is a knight\n(3) 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 Zoey is a knight. No contradiction is found in their claim that Zoey is a knight and Mason is a knight.", "Mason cannot be a knight, because this would contradict the claim of their own that Zoey is not a knight.", "Mason cannot be a knave, because this would contradict the claim of Zoey that Zoey is a knight and Mason is a knight.", "We have exhausted all possibilities for Mason, 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 Mason is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that Zoey is not a knight.", "Assume Liam is a knight. No contradiction is found in their claim that Zoey is a knave or Mason is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 0), ('telling-truth', 2)), ('or', ('lying', 0), ('telling-truth', 2)), ('not', ('telling-truth', 0)))", "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 3 inhabitants: Avery, Owen, and Victoria. Avery said, \"Victoria is a knave or Avery is a knight.\" According to Owen, \"Avery is a knave and Victoria is a knave\". \"Owen is not a knave,\" Victoria claimed. So who is a knight and who is a knave?", "names": ["Avery", "Owen", "Victoria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false], "solution_text": "Avery is a knight, Owen is a knave, and Victoria is a knave.", "solution_text_format": "(1) Avery is a knight\n(2) Owen is a knave\n(3) 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 Avery is a knight. No contradiction is found in their claim that Victoria is a knave or Avery is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that Owen is not a knave.", "Owen cannot be a knight, because this would contradict the claim of their own that Avery is a knave and Victoria is a knave.", "Owen cannot be a knave, because this would contradict the claim of Victoria that Owen is not a knave.", "We have exhausted all possibilities for Owen, so let us go back and reconsider Victoria.", "Assume Victoria 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 claim of their own that Avery is a knave and Victoria is a knave.", "Assume Owen is a knave. No contradiction is found in their false claim that Avery is a knave and Victoria is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 2), ('telling-truth', 0)), ('and', ('lying', 0), ('lying', 2)), ('not', ('lying', 1)))", "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 3 inhabitants: Riley, Scarlett, and Ella. In a statement by Riley: \"Riley is a knight and Scarlett is a knight\". Scarlett said that Ella is a knave and Scarlett is a knight. Ella said that Riley is a knight if and only if Ella is a knight. So who is a knight and who is a knave?", "names": ["Riley", "Scarlett", "Ella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Riley is a knight, Scarlett is a knight, and Ella is a knave.", "solution_text_format": "(1) Riley is a knight\n(2) Scarlett is a knight\n(3) 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 Riley is a knight. No contradiction is found in their claim that Riley is a knight and Scarlett is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that Ella is a knave and Scarlett is a knight.", "Ella cannot be a knight, because this would contradict the claim of Scarlett that Ella is a knave and Scarlett is a knight.", "Assume Ella is a knave. No contradiction is found in their false claim that Riley is a knight if and only if Ella is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 0), ('telling-truth', 1)), ('and', ('lying', 2), ('telling-truth', 1)), ('<=>', ('telling-truth', 0), ('telling-truth', 2)))", "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 3 inhabitants: Henry, Jack, and Matthew. Henry commented, \"Jack is a knight or Henry is a knight\". Jack said that Matthew is a knight and Henry is a knight. Matthew was heard saying, \"Jack is not a knight\". So who is a knight and who is a knave?", "names": ["Henry", "Jack", "Matthew"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Henry is a knave, Jack is a knave, and Matthew is a knight.", "solution_text_format": "(1) Henry is a knave\n(2) Jack is a knave\n(3) 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 Henry is a knight. No contradiction is found in their claim that Jack is a knight or Henry is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that Matthew is a knight and Henry is a knight.", "Matthew cannot be a knight, because this would contradict the claim of their own that Jack is not a knight.", "Matthew cannot be a knave, because this would contradict the claim of Jack that Matthew is a knight and Henry is a knight.", "We have exhausted all possibilities for Matthew, so let us go back and reconsider Jack.", "Assume Jack is a knave. No contradiction is found in their false claim that Matthew is a knight and Henry is a knight.", "Matthew cannot be a knight, because this would contradict the false claim of Jack that Matthew is a knight and Henry is a knight.", "Matthew cannot be a knave, because this would contradict the false claim of their own that Jack is not a knight.", "We have exhausted all possibilities for Matthew and Jack, so let us go back and reconsider Henry.", "Assume Henry is a knave. No contradiction is found in their false claim that Jack is a knight or Henry is a knight.", "Jack cannot be a knight, because this would contradict the false claim of Henry that Jack is a knight or Henry is a knight.", "Assume Jack is a knave. No contradiction is found in their false claim that Matthew is a knight and Henry is a knight.", "Assume Matthew 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": "(('or', ('telling-truth', 1), ('telling-truth', 0)), ('and', ('telling-truth', 2), ('telling-truth', 0)), ('not', ('telling-truth', 1)))", "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 3 inhabitants: Chloe, Charlotte, and Lucas. Chloe expressed that Charlotte is not a knave. Charlotte was heard saying, \"If Lucas is a knight then Lucas is a knave\". According to Lucas, \"Lucas is a knight if and only if Charlotte is a knave\". So who is a knight and who is a knave?", "names": ["Chloe", "Charlotte", "Lucas"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Chloe is a knave, Charlotte is a knave, and Lucas is a knight.", "solution_text_format": "(1) Chloe is a knave\n(2) Charlotte is a knave\n(3) 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 Chloe 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 Lucas is a knight then Lucas is a knave.", "Lucas cannot be a knight, because this would contradict the claim of Charlotte that If Lucas is a knight then Lucas is a knave.", "Lucas cannot be a knave, because this would contradict the false claim of their own that Lucas is a knight if and only if Charlotte is 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 claim of Chloe that Charlotte is not a knave.", "We have exhausted all possibilities for Charlotte, so let us go back and reconsider Chloe.", "Assume Chloe 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 Chloe that Charlotte is not a knave.", "Assume Charlotte is a knave. No contradiction is found in their false claim that If Lucas is a knight then Lucas is a knave.", "Assume Lucas is a knight. No contradiction is found in their claim that Lucas is a knight if and only if Charlotte is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 1)), ('->', ('telling-truth', 2), ('lying', 2)), ('<=>', ('telling-truth', 2), ('lying', 1)))", "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 3 inhabitants: Emily, Aria, and Abigail. As Emily put it, \"Emily is a knight or Aria is a knave\". Aria said that If Aria is a knight then Abigail is a knight. Abigail stated, \"Aria is a knight if and only if Emily is a knave\". So who is a knight and who is a knave?", "names": ["Emily", "Aria", "Abigail"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Emily is a knave, Aria is a knight, and Abigail is a knight.", "solution_text_format": "(1) Emily is a knave\n(2) Aria is a knight\n(3) 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 Emily is a knight or Aria is a knave.", "Assume Aria is a knight. No contradiction is found in their claim that If Aria is a knight then Abigail is a knight.", "Abigail cannot be a knight, because this would contradict the claim of their own that Aria is a knight if and only if Emily is a knave.", "Abigail cannot be a knave, because this would contradict the claim of Aria that If Aria is a knight then 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 false claim of their own that If Aria is a knight then Abigail is a knight.", "We have exhausted all possibilities for Aria, 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 or Aria is a knave.", "Assume Aria is a knight. No contradiction is found in their claim that If Aria is a knight then Abigail is a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that Aria is a knight if and only if Emily is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 0), ('lying', 1)), ('->', ('telling-truth', 1), ('telling-truth', 2)), ('<=>', ('telling-truth', 1), ('lying', 0)))", "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 3 inhabitants: Riley, Owen, and Emily. Riley expressed that If Riley is a knight then Emily is a knight. Owen commented, \"Emily is a knight\". According to Emily, \"Emily is a knight if and only if Riley is a knight\". So who is a knight and who is a knave?", "names": ["Riley", "Owen", "Emily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Riley is a knight, Owen is a knight, and Emily is a knight.", "solution_text_format": "(1) Riley is a knight\n(2) Owen is a knight\n(3) 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 Riley is a knight. No contradiction is found in their claim that If Riley is a knight then Emily is a knight.", "Assume Emily is a knight. No contradiction is found in their claim that Emily is a knight if and only if Riley is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that Emily is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 0), ('telling-truth', 2)), ('telling-truth', 2), ('<=>', ('telling-truth', 2), ('telling-truth', 0)))", "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 3 inhabitants: Matthew, Joseph, and Benjamin. Matthew was heard saying, \"Benjamin is a knight\". \"Matthew is a knave if and only if Joseph is a knight\" - Joseph. As Benjamin put it, \"If Joseph is a knave then Benjamin is a knight\". So who is a knight and who is a knave?", "names": ["Matthew", "Joseph", "Benjamin"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false], "solution_text": "Matthew is a knave, Joseph is a knave, and Benjamin is a knave.", "solution_text_format": "(1) Matthew is a knave\n(2) Joseph is a knave\n(3) 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 Matthew 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 If Joseph is a knave then Benjamin is a knight.", "Joseph cannot be a knight, because this would contradict the claim of their own that Matthew is a knave if and only if Joseph is a knight.", "Joseph cannot be a knave, because this would contradict the false claim of their own that Matthew is a knave if and only if Joseph is a knight.", "We have exhausted all possibilities for Joseph, so let us go back and reconsider Benjamin.", "Benjamin cannot be a knave, because this would contradict the claim of Matthew that 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 Benjamin is a knight.", "Benjamin cannot be a knight, because this would contradict the false claim of Matthew that Benjamin is a knight.", "Assume Benjamin is a knave. No contradiction is found in their false claim that If Joseph is a knave then Benjamin is a knight.", "Joseph cannot be a knight, because this would contradict the false claim of Benjamin that If Joseph is a knave then Benjamin is a knight.", "Assume Joseph is a knave. No contradiction is found in their false claim that Matthew is a knave if and only if Joseph is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 2), ('<=>', ('lying', 0), ('telling-truth', 1)), ('->', ('lying', 1), ('telling-truth', 2)))", "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 3 inhabitants: Sofia, Charlotte, and Olivia. \"Olivia is a knave if and only if Sofia is a knight\" - Sofia. \"Sofia is a knight and Olivia is a knave\" - Charlotte. Olivia told you that Charlotte is a knave. So who is a knight and who is a knave?", "names": ["Sofia", "Charlotte", "Olivia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Sofia is a knight, Charlotte is a knight, and Olivia is a knave.", "solution_text_format": "(1) Sofia is a knight\n(2) Charlotte is a knight\n(3) 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 Olivia is a knave if and only if Sofia is a knight.", "Olivia cannot be a knight, because this would contradict the claim of Sofia that Olivia is a knave if and only if Sofia is a knight.", "Assume Olivia 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 Sofia is a knight and Olivia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 2), ('telling-truth', 0)), ('and', ('telling-truth', 0), ('lying', 2)), ('lying', 1))", "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 3 inhabitants: Riley, Ethan, and Sophia. \"Sophia is a knave and Riley is a knight,\" Riley declared. \"Riley is a knight and Sophia is a knight,\" Ethan declared. Sophia expressed that If Ethan is a knight then Riley is a knight. So who is a knight and who is a knave?", "names": ["Riley", "Ethan", "Sophia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Riley is a knave, Ethan is a knave, and Sophia is a knight.", "solution_text_format": "(1) Riley is a knave\n(2) Ethan is a knave\n(3) 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 Riley is a knight. No contradiction is found in their claim that Sophia is a knave and Riley is a knight.", "Sophia cannot be a knight, because this would contradict the claim of Riley that Sophia is a knave and Riley is a knight.", "Sophia cannot be a knave, because this would contradict the false claim of their own that If Ethan is a knight then Riley is a knight.", "We have exhausted all possibilities for Sophia, so let us go back and reconsider Riley.", "Assume Riley is a knave. No contradiction is found in their false claim that Sophia is a knave and Riley is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that If Ethan is a knight then Riley is a knight.", "Ethan cannot be a knight, because this would contradict the claim of their own that Riley is a knight and Sophia is a knight.", "Assume Ethan is a knave. No contradiction is found in their false claim that Riley is a knight and Sophia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('telling-truth', 0)), ('and', ('telling-truth', 0), ('telling-truth', 2)), ('->', ('telling-truth', 1), ('telling-truth', 0)))", "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 3 inhabitants: Scarlett, Avery, and Emma. \"Avery is a knave if and only if Emma is a knave,\" Scarlett claimed. Avery said, \"Emma is a knight.\" Emma stated, \"Scarlett is a knight\". So who is a knight and who is a knave?", "names": ["Scarlett", "Avery", "Emma"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Scarlett is a knight, Avery is a knight, and Emma is a knight.", "solution_text_format": "(1) Scarlett is a knight\n(2) Avery is a knight\n(3) 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 knave if and only if Emma is a knave.", "Assume Avery 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 Scarlett is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('lying', 2)), ('telling-truth', 2), ('telling-truth', 0))", "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 3 inhabitants: Alexander, Lily, and Samuel. Alexander remarked, \"Lily is a knave or Lily is a knight\". In a statement by Lily: \"Samuel is a knight if and only if Lily is a knight\". Samuel was heard saying, \"Lily is a knight\". So who is a knight and who is a knave?", "names": ["Alexander", "Lily", "Samuel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Alexander is a knight, Lily is a knight, and Samuel is a knight.", "solution_text_format": "(1) Alexander is a knight\n(2) Lily is a knight\n(3) 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 Alexander 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 Samuel is a knight if and only if Lily is a knight.", "Assume Samuel 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)), ('<=>', ('telling-truth', 2), ('telling-truth', 1)), ('telling-truth', 1))", "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 3 inhabitants: Liam, Avery, and Owen. Liam asserted: \"Owen is a knight or Liam is a knight\". Avery told you that Liam is a knight. In Owen's words: \"If Avery is a knave then Liam is a knave\". So who is a knight and who is a knave?", "names": ["Liam", "Avery", "Owen"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Liam is a knight, Avery is a knight, and Owen is a knight.", "solution_text_format": "(1) Liam is a knight\n(2) Avery is a knight\n(3) 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 Liam 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 If Avery is a knave then Liam is a knave.", "Assume Avery is a knight. No contradiction is found in their claim that Liam is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 2), ('telling-truth', 0)), ('telling-truth', 0), ('->', ('lying', 1), ('lying', 0)))", "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 3 inhabitants: Owen, Mia, and Noah. Owen said that Noah is a knight or Noah is a knave. \"Owen is a knave,\" Mia claimed. Noah asserted: \"Mia is a knight and Noah is a knight\". So who is a knight and who is a knave?", "names": ["Owen", "Mia", "Noah"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false], "solution_text": "Owen is a knight, Mia is a knave, and Noah is a knave.", "solution_text_format": "(1) Owen is a knight\n(2) Mia is a knave\n(3) 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 Owen is a knight. No contradiction is found in their claim that Noah is a knight or Noah is a knave.", "Assume Noah is a knight. No contradiction is found in their claim that Mia is a knight and Noah is a knight.", "Mia cannot be a knight, because this would contradict the claim of their own that Owen is a knave.", "Mia cannot be a knave, because this would contradict the claim of Noah that Mia is a knight and Noah is a knight.", "We have exhausted all possibilities for 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 and Noah is a knight.", "Mia cannot be a knight, because this would contradict the claim of their own that Owen is a knave.", "Assume Mia is a knave. No contradiction is found in their false claim that Owen is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 2), ('lying', 2)), ('lying', 0), ('and', ('telling-truth', 1), ('telling-truth', 2)))", "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 3 inhabitants: Sebastian, Sophia, and Victoria. Sebastian said, \"Victoria is a knave and Sophia is a knave.\" In Sophia's words: \"Victoria is a knight or Sebastian is a knight\". \"If Sebastian is a knight then Sophia is a knave,\" Victoria declared. So who is a knight and who is a knave?", "names": ["Sebastian", "Sophia", "Victoria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Sebastian is a knave, Sophia is a knight, and Victoria is a knight.", "solution_text_format": "(1) Sebastian is a knave\n(2) Sophia is a knight\n(3) 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 Sebastian is a knight. No contradiction is found in their claim that Victoria is a knave and Sophia is a knave.", "Victoria cannot be a knight, because this would contradict the claim of Sebastian that Victoria is a knave and Sophia is a knave.", "Assume Victoria is a knave. No contradiction is found in their false claim that If Sebastian is a knight then Sophia is a knave.", "Sophia cannot be a knight, because this would contradict the claim of Sebastian that Victoria is a knave and Sophia is a knave.", "Sophia cannot be a knave, because this would contradict the false claim of their own that Victoria is a knight or Sebastian is a knight.", "We have exhausted all possibilities for Sophia and Victoria, so let us go back and reconsider Sebastian.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Victoria is a knave and Sophia is a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that If Sebastian is a knight then Sophia is a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that Victoria is a knight or Sebastian is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('lying', 1)), ('or', ('telling-truth', 2), ('telling-truth', 0)), ('->', ('telling-truth', 0), ('lying', 1)))", "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 3 inhabitants: Jackson, Aurora, and Lucas. As Jackson put it, \"If Aurora is a knave then Lucas is a knight\". As Aurora put it, \"Lucas is a knave if and only if Aurora is a knight\". In Lucas's words: \"Lucas is a knight or Aurora is a knave\". So who is a knight and who is a knave?", "names": ["Jackson", "Aurora", "Lucas"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Jackson is a knight, Aurora is a knight, and Lucas is a knave.", "solution_text_format": "(1) Jackson is a knight\n(2) Aurora is a knight\n(3) 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 Jackson is a knight. No contradiction is found in their claim that If Aurora is a knave then Lucas is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that Lucas is a knave if and only if Aurora is a knight.", "Lucas cannot be a knight, because this would contradict the claim of Aurora that Lucas is a knave if and only if Aurora is a knight.", "Assume Lucas is a knave. No contradiction is found in their false claim that Lucas is a knight or Aurora is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 1), ('telling-truth', 2)), ('<=>', ('lying', 2), ('telling-truth', 1)), ('or', ('telling-truth', 2), ('lying', 1)))", "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 3 inhabitants: Charlotte, Mia, and Lucas. \"Lucas is a knave and Lucas is a knight\" - Charlotte. Mia was heard saying, \"Lucas is a knave and Lucas is a knight\". Lucas was heard saying, \"Charlotte is not a knave\". So who is a knight and who is a knave?", "names": ["Charlotte", "Mia", "Lucas"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false], "solution_text": "Charlotte is a knave, Mia is a knave, and Lucas is a knave.", "solution_text_format": "(1) Charlotte is a knave\n(2) Mia is a knave\n(3) 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": ["Charlotte cannot be a knight, because this would contradict the claim of their own that Lucas is a knave and Lucas is a knight.", "Assume Charlotte 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 Charlotte is not a knave.", "Assume Lucas is a knave. No contradiction is found in their false claim that Charlotte is not a knave.", "Mia cannot be a knight, because this would contradict the claim of their own that Lucas is a knave and Lucas is a knight.", "Assume Mia is a knave. No contradiction is found in their false claim that Lucas is a knave and Lucas is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('telling-truth', 2)), ('and', ('lying', 2), ('telling-truth', 2)), ('not', ('lying', 0)))", "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 3 inhabitants: Riley, Samuel, and Liam. \"Liam is not a knave,\" Riley mentioned. In a statement by Samuel: \"Riley is not a knave\". Liam stated, \"Samuel is a knight if and only if Riley is a knight\". So who is a knight and who is a knave?", "names": ["Riley", "Samuel", "Liam"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Riley is a knight, Samuel is a knight, and Liam is a knight.", "solution_text_format": "(1) Riley is a knight\n(2) Samuel is a knight\n(3) 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 Riley 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 Samuel is a knight if and only if Riley is a knight.", "Assume Samuel 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": "(('not', ('lying', 2)), ('not', ('lying', 0)), ('<=>', ('telling-truth', 1), ('telling-truth', 0)))", "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 3 inhabitants: Oliver, Elizabeth, and Jacob. Oliver remarked, \"Jacob is a knave and Elizabeth is a knight\". Elizabeth remarked, \"If Jacob is a knave then Jacob is a knight\". In Jacob's words: \"Elizabeth is a knave or Jacob is a knight\". So who is a knight and who is a knave?", "names": ["Oliver", "Elizabeth", "Jacob"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Oliver is a knave, Elizabeth is a knight, and Jacob is a knight.", "solution_text_format": "(1) Oliver is a knave\n(2) Elizabeth is a knight\n(3) 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 Oliver is a knight. No contradiction is found in their claim that Jacob is a knave and Elizabeth is a knight.", "Jacob cannot be a knight, because this would contradict the claim of Oliver that Jacob is a knave and Elizabeth is a knight.", "Assume Jacob is a knave. No contradiction is found in their false claim that Elizabeth is a knave or Jacob is a knight.", "Elizabeth cannot be a knight, because this would contradict the claim of their own that If Jacob is a knave then Jacob is a knight.", "Elizabeth cannot be a knave, because this would contradict the claim of Oliver that Jacob is a knave and Elizabeth is a knight.", "We have exhausted all possibilities for Elizabeth and Jacob, so let us go back and reconsider Oliver.", "Assume Oliver is a knave. No contradiction is found in their false claim that Jacob is a knave and Elizabeth is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that Elizabeth is a knave or Jacob is a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that If Jacob is a knave then Jacob is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('telling-truth', 1)), ('->', ('lying', 2), ('telling-truth', 2)), ('or', ('lying', 1), ('telling-truth', 2)))", "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 3 inhabitants: Mia, Abigail, and Ethan. Mia said that Ethan is a knight. As Abigail put it, \"Mia is a knight or Ethan is a knave\". Ethan said, \"Abigail is a knight or Ethan is a knight.\" So who is a knight and who is a knave?", "names": ["Mia", "Abigail", "Ethan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Mia is a knight, Abigail is a knight, and Ethan is a knight.", "solution_text_format": "(1) Mia is a knight\n(2) Abigail is a knight\n(3) 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 Mia 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 Abigail is a knight or Ethan is a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that Mia is a knight or Ethan is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 2), ('or', ('telling-truth', 0), ('lying', 2)), ('or', ('telling-truth', 1), ('telling-truth', 2)))", "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 3 inhabitants: Amelia, Lucas, and Jackson. Amelia said, \"Jackson is a knight or Lucas is a knave.\" \"Jackson is a knave or Amelia is a knight,\" Lucas claimed. Jackson asserted: \"Lucas is not a knight\". So who is a knight and who is a knave?", "names": ["Amelia", "Lucas", "Jackson"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Amelia is a knave, Lucas is a knight, and Jackson is a knave.", "solution_text_format": "(1) Amelia is a knave\n(2) Lucas is a knight\n(3) 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 Amelia is a knight. No contradiction is found in their claim that Jackson is a knight or Lucas is a knave.", "Assume Jackson 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 Jackson that Lucas is not a knight.", "Lucas cannot be a knave, because this would contradict the false claim of their own that Jackson is a knave or Amelia is a knight.", "We have exhausted all possibilities for Lucas, so let us go back and reconsider Jackson.", "Assume Jackson 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 Amelia that Jackson is a knight or Lucas is a knave.", "Lucas cannot be a knave, because this would contradict the false claim of their own that Jackson is a knave or Amelia is a knight.", "We have exhausted all possibilities for Lucas and Jackson, 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 knight or Lucas is a knave.", "Jackson cannot be a knight, because this would contradict the false claim of Amelia that Jackson is a knight or Lucas is a knave.", "Assume Jackson 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 Jackson is a knave or Amelia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 2), ('lying', 1)), ('or', ('lying', 2), ('telling-truth', 0)), ('not', ('telling-truth', 1)))", "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 3 inhabitants: Logan, Noah, and Chloe. Logan told you that Chloe is a knight or Chloe is a knave. Noah was heard saying, \"Logan is a knight\". Chloe told you that Noah is a knight if and only if Logan is a knight. So who is a knight and who is a knave?", "names": ["Logan", "Noah", "Chloe"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Logan is a knight, Noah is a knight, and Chloe is a knight.", "solution_text_format": "(1) Logan is a knight\n(2) Noah is a knight\n(3) 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 Logan 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 Noah is a knight if and only if Logan is a knight.", "Assume Noah is a knight. No contradiction is found in their claim that Logan is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 2), ('lying', 2)), ('telling-truth', 0), ('<=>', ('telling-truth', 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 3 inhabitants: Owen, Samuel, and Sophia. Owen commented, \"Sophia is a knight if and only if Samuel is a knave\". Samuel asserted: \"If Sophia is a knight then Sophia is a knave\". \"Samuel is a knight if and only if Samuel is a knave,\" Sophia mentioned. So who is a knight and who is a knave?", "names": ["Owen", "Samuel", "Sophia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Owen is a knight, Samuel is a knight, and Sophia is a knave.", "solution_text_format": "(1) Owen is a knight\n(2) Samuel is a knight\n(3) 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 Owen is a knight. No contradiction is found in their claim that Sophia is a knight if and only if Samuel is a knave.", "Sophia 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 Sophia 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 Sophia is a knight then Sophia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 2), ('lying', 1)), ('->', ('telling-truth', 2), ('lying', 2)), ('<=>', ('telling-truth', 1), ('lying', 1)))", "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 3 inhabitants: Penelope, Emily, and David. \"If Penelope is a knight then David is a knight\" - Penelope. \"Emily is a knight if and only if Penelope is a knight\" - Emily. \"Emily is not a knight,\" David mentioned. So who is a knight and who is a knave?", "names": ["Penelope", "Emily", "David"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Penelope is a knight, Emily is a knave, and David is a knight.", "solution_text_format": "(1) Penelope is a knight\n(2) Emily is a knave\n(3) 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 Penelope is a knight. No contradiction is found in their claim that If Penelope is a knight then David is a knight.", "Assume David 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 David that Emily is not a knight.", "Assume Emily is a knave. No contradiction is found in their false claim that Emily is a knight if and only if Penelope is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 0), ('telling-truth', 2)), ('<=>', ('telling-truth', 1), ('telling-truth', 0)), ('not', ('telling-truth', 1)))", "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 3 inhabitants: Chloe, Henry, and Mason. \"Henry is a knight if and only if Henry is a knave,\" Chloe declared. Henry noted, \"Chloe is not a knight\". Mason noted, \"Chloe is a knight if and only if Chloe is a knave\". So who is a knight and who is a knave?", "names": ["Chloe", "Henry", "Mason"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Chloe is a knave, Henry is a knight, and Mason is a knave.", "solution_text_format": "(1) Chloe is a knave\n(2) Henry is a knight\n(3) 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": ["Chloe 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 Chloe 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 Chloe is not 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."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('lying', 1)), ('not', ('telling-truth', 0)), ('<=>', ('telling-truth', 0), ('lying', 0)))", "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 3 inhabitants: Riley, Amelia, and Ethan. \"Amelia is not a knight,\" Riley declared. Amelia asserted: \"Riley is a knight or Amelia is a knight\". According to Ethan, \"Riley is a knight and Ethan is a knight\". So who is a knight and who is a knave?", "names": ["Riley", "Amelia", "Ethan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Riley is a knave, Amelia is a knight, and Ethan is a knave.", "solution_text_format": "(1) Riley is a knave\n(2) Amelia is a knight\n(3) 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 Amelia is not a knight.", "Amelia cannot be a knight, because this would contradict the claim of Riley that Amelia is not a knight.", "Amelia cannot be a knave, because this would contradict the false claim of their own that Riley is a knight or Amelia is a knight.", "We have exhausted all possibilities for Amelia, so let us go back and reconsider Riley.", "Assume Riley 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 Riley is a knight or Amelia is a knight.", "Ethan cannot be a knight, because this would contradict the claim of their own that Riley is a knight and Ethan is a knight.", "Assume Ethan is a knave. No contradiction is found in their false claim that Riley is a knight and Ethan is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('or', ('telling-truth', 0), ('telling-truth', 1)), ('and', ('telling-truth', 0), ('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 3 inhabitants: Emily, Jacob, and Benjamin. Emily was heard saying, \"Benjamin is a knight or Emily is a knight\". As Jacob put it, \"Jacob is a knight and Emily is a knave\". Benjamin expressed that If Emily is a knight then Emily is a knave. So who is a knight and who is a knave?", "names": ["Emily", "Jacob", "Benjamin"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false], "solution_text": "Emily is a knight, Jacob is a knave, and Benjamin is a knave.", "solution_text_format": "(1) Emily is a knight\n(2) Jacob is a knave\n(3) 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 Emily is a knight. No contradiction is found in their claim that Benjamin is a knight or Emily is a knight.", "Benjamin 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 Benjamin is a knave. No contradiction is found in their false claim that If Emily is a knight then Emily is a knave.", "Jacob cannot be a knight, because this would contradict the claim of their own that Jacob is a knight and Emily is a knave.", "Assume Jacob is a knave. No contradiction is found in their false claim that Jacob is a knight and Emily is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 2), ('telling-truth', 0)), ('and', ('telling-truth', 1), ('lying', 0)), ('->', ('telling-truth', 0), ('lying', 0)))", "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 3 inhabitants: Aurora, Jackson, and Emma. Aurora was heard saying, \"Jackson is not a knight\". Jackson commented, \"Emma is not a knight\". Emma said that Jackson is a knight if and only if Emma is a knight. So who is a knight and who is a knave?", "names": ["Aurora", "Jackson", "Emma"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Aurora is a knave, Jackson is a knight, and Emma is a knave.", "solution_text_format": "(1) Aurora is a knave\n(2) Jackson is a knight\n(3) 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 Aurora 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 Aurora that Jackson is not a knight.", "Assume Jackson 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 Jackson is a knight if and only if Emma is a knight.", "Emma cannot be a knave, because this would contradict the false claim of Jackson that Emma is not a knight.", "We have exhausted all possibilities for Emma and 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 knight.", "Assume Jackson 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 Jackson that Emma is not a knight.", "Assume Emma is a knave. No contradiction is found in their false claim that Jackson is a knight if and only if Emma is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('not', ('telling-truth', 2)), ('<=>', ('telling-truth', 1), ('telling-truth', 2)))", "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 3 inhabitants: Isabella, Oliver, and Aria. In Isabella's words: \"Aria is a knave or Oliver is a knight\". In Oliver's words: \"Isabella is not a knave\". Aria expressed that Oliver is a knight. So who is a knight and who is a knave?", "names": ["Isabella", "Oliver", "Aria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Isabella is a knight, Oliver is a knight, and Aria is a knight.", "solution_text_format": "(1) Isabella is a knight\n(2) Oliver is a knight\n(3) 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 Isabella is a knight. No contradiction is found in their claim that Aria is a knave or Oliver is a knight.", "Assume Aria 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 Isabella is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 2), ('telling-truth', 1)), ('not', ('lying', 0)), ('telling-truth', 1))", "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 3 inhabitants: Lucas, David, and Scarlett. \"David is a knight and Lucas is a knight,\" Lucas claimed. David asserted: \"David is a knight and Scarlett is a knight\". Scarlett stated, \"David is a knave and Lucas is a knave\". So who is a knight and who is a knave?", "names": ["Lucas", "David", "Scarlett"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Lucas is a knave, David is a knave, and Scarlett is a knight.", "solution_text_format": "(1) Lucas is a knave\n(2) David is a knave\n(3) 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 David is a knight and Lucas is a knight.", "Assume David is a knight. No contradiction is found in their claim that David is a knight and Scarlett is a knight.", "Scarlett cannot be a knight, because this would contradict the claim of their own that David is a knave and Lucas is a knave.", "Scarlett cannot be a knave, because this would contradict the claim of David that David is a knight and 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 Lucas that David is a knight and Lucas is a knight.", "We have exhausted all possibilities for 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 and Lucas is a knight.", "Assume David is a knight. No contradiction is found in their claim that David is a knight and Scarlett is a knight.", "Scarlett cannot be a knight, because this would contradict the claim of their own that David is a knave and Lucas is a knave.", "Scarlett cannot be a knave, because this would contradict the claim of David that David is a knight and Scarlett is a knight.", "We have exhausted all possibilities for Scarlett, 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 Scarlett is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that David is a knave and Lucas is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('telling-truth', 0)), ('and', ('telling-truth', 1), ('telling-truth', 2)), ('and', ('lying', 1), ('lying', 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 3 inhabitants: Harper, Victoria, and Evelyn. In Harper's words: \"If Victoria is a knight then Evelyn is a knight\". \"Evelyn is a knave if and only if Harper is a knight,\" Victoria declared. \"Victoria is a knave or Harper is a knave,\" Evelyn claimed. So who is a knight and who is a knave?", "names": ["Harper", "Victoria", "Evelyn"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Harper is a knight, Victoria is a knave, and Evelyn is a knight.", "solution_text_format": "(1) Harper is a knight\n(2) Victoria is a knave\n(3) 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 If Victoria is a knight then Evelyn is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that Evelyn is a knave if and only if Harper is a knight.", "Evelyn cannot be a knight, because this would contradict the claim of Victoria that Evelyn is a knave if and only if Harper is a knight.", "Evelyn cannot be a knave, because this would contradict the claim of Harper that If Victoria is a knight then Evelyn is a knight.", "We have exhausted all possibilities for Evelyn, so let us go back and reconsider Victoria.", "Assume Victoria is a knave. No contradiction is found in their false claim that Evelyn is a knave if and only if Harper is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that Victoria is a knave or Harper is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 1), ('telling-truth', 2)), ('<=>', ('lying', 2), ('telling-truth', 0)), ('or', ('lying', 1), ('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 3 inhabitants: Henry, Aria, and Joseph. \"Aria is a knight if and only if Joseph is a knave,\" Henry declared. \"Henry is a knave and Joseph is a knave,\" Aria mentioned. Joseph told you that Henry is a knave or Henry is a knight. So who is a knight and who is a knave?", "names": ["Henry", "Aria", "Joseph"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Henry is a knight, Aria is a knave, and Joseph is a knight.", "solution_text_format": "(1) Henry is a knight\n(2) Aria is a knave\n(3) 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 Aria is a knight if and only if Joseph is a knave.", "Aria cannot be a knight, because this would contradict the claim of their own that Henry is a knave and Joseph is a knave.", "Assume Aria is a knave. No contradiction is found in their false claim that Henry is a knave and Joseph is a knave.", "Assume Joseph 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', 1), ('lying', 2)), ('and', ('lying', 0), ('lying', 2)), ('or', ('lying', 0), ('telling-truth', 0)))", "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 3 inhabitants: Samuel, Elizabeth, and Benjamin. Samuel said that Benjamin is a knight and Benjamin is a knave. Elizabeth was heard saying, \"Benjamin is a knight or Elizabeth is a knight\". Benjamin asserted: \"Elizabeth is a knight if and only if Samuel is a knight\". So who is a knight and who is a knave?", "names": ["Samuel", "Elizabeth", "Benjamin"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Samuel is a knave, Elizabeth is a knight, and Benjamin is a knave.", "solution_text_format": "(1) Samuel is a knave\n(2) Elizabeth is a knight\n(3) 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": ["Samuel cannot be a knight, because this would contradict the claim of their own that Benjamin is a knight and Benjamin is a knave.", "Assume Samuel is a knave. No contradiction is found in their false claim that Benjamin is a knight and Benjamin is a knave.", "Assume Benjamin is a knight. No contradiction is found in their claim that Elizabeth is a knight if and only if Samuel is a knight.", "Elizabeth cannot be a knight, because this would contradict the claim of Benjamin that Elizabeth is a knight if and only if Samuel is a knight.", "Elizabeth cannot be a knave, because this would contradict the false claim of their own that Benjamin is a knight or Elizabeth is a knight.", "We have exhausted all possibilities for Elizabeth, so let us go back and reconsider Benjamin.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Elizabeth is a knight if and only if Samuel is a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Benjamin is a knight or Elizabeth is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 2), ('lying', 2)), ('or', ('telling-truth', 2), ('telling-truth', 1)), ('<=>', ('telling-truth', 1), ('telling-truth', 0)))", "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 3 inhabitants: Lucas, Samuel, and Joseph. As Lucas put it, \"If Samuel is a knight then Samuel is a knave\". Samuel expressed that Lucas is a knave if and only if Samuel is a knight. \"Lucas is a knight or Lucas is a knave,\" Joseph mentioned. So who is a knight and who is a knave?", "names": ["Lucas", "Samuel", "Joseph"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Lucas is a knave, Samuel is a knight, and Joseph is a knight.", "solution_text_format": "(1) Lucas is a knave\n(2) Samuel is a knight\n(3) 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 Lucas is a knight. No contradiction is found in their claim that If Samuel is a knight then Samuel is a knave.", "Samuel cannot be a knight, because this would contradict the claim of Lucas that If Samuel is a knight then Samuel is a knave.", "Samuel cannot be a knave, because this would contradict the false claim of their own that Lucas is a knave if and only if Samuel is a knight.", "We have exhausted all possibilities for Samuel, so let us go back and reconsider Lucas.", "Assume Lucas is a knave. No contradiction is found in their false claim that If Samuel is a knight then Samuel is a knave.", "Assume Samuel is a knight. No contradiction is found in their claim that Lucas is a knave if and only if Samuel is a knight.", "Assume Joseph is a knight. No contradiction is found in their claim that Lucas is a knight or Lucas is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 1), ('lying', 1)), ('<=>', ('lying', 0), ('telling-truth', 1)), ('or', ('telling-truth', 0), ('lying', 0)))", "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 3 inhabitants: Evelyn, Michael, and William. Evelyn said, \"If Michael is a knave then Evelyn is a knight.\" Michael noted, \"Evelyn is a knave or Evelyn is a knight\". \"Evelyn is a knight if and only if Michael is a knave\" - William. So who is a knight and who is a knave?", "names": ["Evelyn", "Michael", "William"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Evelyn is a knight, Michael is a knight, and William is a knave.", "solution_text_format": "(1) Evelyn is a knight\n(2) Michael is a knight\n(3) 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 If Michael is a knave then Evelyn is a knight.", "Assume Michael is a knight. No contradiction is found in their claim that Evelyn is a knave or Evelyn is a knight.", "William cannot be a knight, because this would contradict the claim of their own that Evelyn is a knight if and only if Michael is a knave.", "Assume William is a knave. No contradiction is found in their false claim that Evelyn is a knight if and only if Michael is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 1), ('telling-truth', 0)), ('or', ('lying', 0), ('telling-truth', 0)), ('<=>', ('telling-truth', 0), ('lying', 1)))", "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 3 inhabitants: Elizabeth, Ava, and David. According to Elizabeth, \"Elizabeth is a knight if and only if David is a knight\". As Ava put it, \"Ava is a knight if and only if Elizabeth is a knave\". David expressed that Ava is a knave if and only if Elizabeth is a knave. So who is a knight and who is a knave?", "names": ["Elizabeth", "Ava", "David"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Elizabeth is a knave, Ava is a knave, and David is a knight.", "solution_text_format": "(1) Elizabeth is a knave\n(2) Ava is a knave\n(3) 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 Elizabeth is a knight. No contradiction is found in their claim that Elizabeth is a knight if and only if David is a knight.", "Assume David is a knight. No contradiction is found in their claim that Ava is a knave if and only if Elizabeth is a knave.", "Ava cannot be a knight, because this would contradict the claim of their own that Ava is a knight if and only if Elizabeth is a knave.", "Ava cannot be a knave, because this would contradict the false claim of their own that Ava is a knight if and only if Elizabeth is a knave.", "We have exhausted all possibilities for Ava, so let us go back and reconsider David.", "David cannot be a knave, because this would contradict the claim of Elizabeth that Elizabeth 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 Elizabeth.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Elizabeth is a knight if and only if David is a knight.", "Assume David is a knight. No contradiction is found in their claim that Ava is a knave if and only if Elizabeth is a knave.", "Ava cannot be a knight, because this would contradict the claim of David that Ava is a knave if and only if Elizabeth 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 Elizabeth is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 0), ('telling-truth', 2)), ('<=>', ('telling-truth', 1), ('lying', 0)), ('<=>', ('lying', 1), ('lying', 0)))", "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 3 inhabitants: Avery, Noah, and Harper. Avery remarked, \"If Avery is a knight then Harper is a knave\". Noah remarked, \"Harper is a knave or Avery is a knight\". In a statement by Harper: \"Avery is a knave and Harper is a knight\". So who is a knight and who is a knave?", "names": ["Avery", "Noah", "Harper"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Avery is a knight, Noah is a knight, and Harper is a knave.", "solution_text_format": "(1) Avery is a knight\n(2) Noah is a knight\n(3) 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 Avery is a knight. No contradiction is found in their claim that If Avery is a knight then Harper is a knave.", "Harper cannot be a knight, because this would contradict the claim of Avery that If Avery is a knight then Harper is a knave.", "Assume Harper is a knave. No contradiction is found in their false claim that Avery is a knave and Harper is a knight.", "Assume Noah is a knight. No contradiction is found in their claim that Harper is a knave or Avery is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 0), ('lying', 2)), ('or', ('lying', 2), ('telling-truth', 0)), ('and', ('lying', 0), ('telling-truth', 2)))", "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 3 inhabitants: Sofia, Amelia, and Mason. Sofia commented, \"If Sofia is a knight then Mason is a knave\". Amelia noted, \"Sofia is a knight if and only if Mason is a knave\". Mason stated, \"Mason is a knight and Sofia is a knight\". So who is a knight and who is a knave?", "names": ["Sofia", "Amelia", "Mason"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Sofia is a knight, Amelia is a knight, and Mason is a knave.", "solution_text_format": "(1) Sofia is a knight\n(2) Amelia is a knight\n(3) 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 Sofia is a knight. No contradiction is found in their claim that If Sofia is a knight then Mason is a knave.", "Mason cannot be a knight, because this would contradict the claim of Sofia that If Sofia is a knight then Mason is a knave.", "Assume Mason is a knave. No contradiction is found in their false claim that Mason is a knight and Sofia is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that Sofia is a knight if and only if Mason is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 0), ('lying', 2)), ('<=>', ('telling-truth', 0), ('lying', 2)), ('and', ('telling-truth', 2), ('telling-truth', 0)))", "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 3 inhabitants: Samuel, Liam, and Luke. \"If Samuel is a knight then Liam is a knave\" - Samuel. \"Luke is not a knight,\" Liam declared. Luke asserted: \"Liam is a knave\". So who is a knight and who is a knave?", "names": ["Samuel", "Liam", "Luke"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Samuel is a knight, Liam is a knave, and Luke is a knight.", "solution_text_format": "(1) Samuel is a knight\n(2) Liam is a knave\n(3) 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 Samuel is a knight. No contradiction is found in their claim that If Samuel is a knight then Liam is a knave.", "Liam cannot be a knight, because this would contradict the claim of Samuel that If Samuel is a knight then Liam is a knave.", "Assume Liam 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 Liam is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 0), ('lying', 1)), ('not', ('telling-truth', 2)), ('lying', 1))", "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 3 inhabitants: Sofia, Riley, and Lily. Sofia said, \"Riley is a knight if and only if Sofia is a knight.\" According to Riley, \"Lily is a knight if and only if Sofia is a knave\". Lily stated, \"Riley is a knight or Sofia is a knight\". So who is a knight and who is a knave?", "names": ["Sofia", "Riley", "Lily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true], "solution_text": "Sofia is a knave, Riley is a knight, and Lily is a knight.", "solution_text_format": "(1) Sofia is a knave\n(2) Riley is a knight\n(3) 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 Sofia is a knight. No contradiction is found in their claim that Riley is a knight if and only if Sofia is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that Lily is a knight if and only if Sofia is a knave.", "Lily cannot be a knight, because this would contradict the claim of Riley that Lily is a knight if and only if Sofia is a knave.", "Lily cannot be a knave, because this would contradict the false claim of their own that Riley is a knight or Sofia is a knight.", "We have exhausted all possibilities for Lily, so let us go back and reconsider Riley.", "Riley cannot be a knave, because this would contradict the claim of Sofia that Riley is a knight if and only if Sofia is a knight.", "We have exhausted all possibilities for Riley, so let us go back and reconsider Sofia.", "Assume Sofia is a knave. No contradiction is found in their false claim that Riley is a knight if and only if Sofia is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that Lily is a knight if and only if Sofia is a knave.", "Assume Lily is a knight. No contradiction is found in their claim that Riley is a knight or Sofia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('telling-truth', 0)), ('<=>', ('telling-truth', 2), ('lying', 0)), ('or', ('telling-truth', 1), ('telling-truth', 0)))", "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 3 inhabitants: Aria, Benjamin, and Sofia. Aria noted, \"Benjamin is a knight if and only if Benjamin is a knave\". Benjamin said, \"Benjamin is a knight and Aria is a knight.\" \"Benjamin is a knave\" - Sofia. So who is a knight and who is a knave?", "names": ["Aria", "Benjamin", "Sofia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Aria is a knave, Benjamin is a knave, and Sofia is a knight.", "solution_text_format": "(1) Aria is a knave\n(2) Benjamin is a knave\n(3) 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": ["Aria cannot be a knight, because this would contradict the claim of their own that Benjamin is a knight if and only if Benjamin is a knave.", "Assume Aria is a knave. No contradiction is found in their false claim that Benjamin is a knight if and only if Benjamin is a knave.", "Benjamin cannot be a knight, because this would contradict the claim of their own that Benjamin is a knight and Aria is a knight.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Benjamin is a knight and Aria is a knight.", "Assume Sofia 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', 1), ('lying', 1)), ('and', ('telling-truth', 1), ('telling-truth', 0)), ('lying', 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 3 inhabitants: Owen, Jacob, and Jack. \"If Jack is a knight then Jacob is a knight,\" Owen mentioned. Jacob expressed that If Jack is a knave then Owen is a knight. Jack commented, \"If Jacob is a knight then Owen is a knave\". So who is a knight and who is a knave?", "names": ["Owen", "Jacob", "Jack"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Owen is a knight, Jacob is a knight, and Jack is a knave.", "solution_text_format": "(1) Owen is a knight\n(2) Jacob is a knight\n(3) 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 Owen is a knight. No contradiction is found in their claim that If Jack is a knight then Jacob is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that If Jacob is a knight then Owen is a knave.", "Jacob cannot be a knight, because this would contradict the claim of Jack that If Jacob is a knight then Owen is a knave.", "Jacob cannot be a knave, because this would contradict the claim of Owen that If Jack is a knight then Jacob is a knight.", "We have exhausted all possibilities for Jacob, so let us go back and reconsider Jack.", "Assume Jack is a knave. No contradiction is found in their false claim that If Jacob is a knight then Owen is a knave.", "Assume Jacob is a knight. No contradiction is found in their claim that If Jack is a knave then Owen is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 2), ('telling-truth', 1)), ('->', ('lying', 2), ('telling-truth', 0)), ('->', ('telling-truth', 1), ('lying', 0)))", "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 3 inhabitants: Ethan, David, and Samuel. Ethan commented, \"David is a knight and Samuel is a knave\". \"Samuel is not a knight,\" David claimed. \"If Ethan is a knave then Samuel is a knight,\" Samuel declared. So who is a knight and who is a knave?", "names": ["Ethan", "David", "Samuel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Ethan is a knave, David is a knave, and Samuel is a knight.", "solution_text_format": "(1) Ethan is a knave\n(2) David is a knave\n(3) 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 Ethan is a knight. No contradiction is found in their claim that David is a knight and Samuel is a knave.", "Assume David 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 Ethan that David is a knight and Samuel is a knave.", "Samuel cannot be a knave, because this would contradict the false claim of their own that If Ethan is a knave then Samuel is a knight.", "We have exhausted all possibilities for Samuel, so let us go back and reconsider David.", "David cannot be a knave, because this would contradict the claim of Ethan that David is a knight and Samuel is a knave.", "We have exhausted all possibilities for David, so let us go back and reconsider Ethan.", "Assume Ethan is a knave. No contradiction is found in their false claim that David is a knight and Samuel is a knave.", "Assume David 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 David that Samuel is not a knight.", "Samuel cannot be a knave, because this would contradict the false claim of Ethan that David is a knight and Samuel is a knave.", "We have exhausted all possibilities for Samuel, so let us go back and reconsider David.", "Assume David 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 Ethan is a knave then Samuel is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('lying', 2)), ('not', ('telling-truth', 2)), ('->', ('lying', 0), ('telling-truth', 2)))", "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 3 inhabitants: Jacob, Oliver, and Emma. \"Emma is a knave or Jacob is a knight,\" Jacob claimed. Oliver expressed that Jacob is a knave and Emma is a knave. \"Oliver is a knight and Jacob is a knave\" - Emma. So who is a knight and who is a knave?", "names": ["Jacob", "Oliver", "Emma"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false], "solution_text": "Jacob is a knight, Oliver is a knave, and Emma is a knave.", "solution_text_format": "(1) Jacob is a knight\n(2) Oliver is a knave\n(3) 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 Jacob is a knight. No contradiction is found in their claim that Emma is a knave or Jacob is a knight.", "Emma cannot be a knight, because this would contradict the claim of their own that Oliver is a knight and Jacob is a knave.", "Assume Emma is a knave. No contradiction is found in their false claim that Oliver is a knight and Jacob is a knave.", "Oliver cannot be a knight, because this would contradict the claim of their own that Jacob is a knave and Emma is a knave.", "Assume Oliver is a knave. No contradiction is found in their false claim that Jacob is a knave and Emma is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 2), ('telling-truth', 0)), ('and', ('lying', 0), ('lying', 2)), ('and', ('telling-truth', 1), ('lying', 0)))", "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 3 inhabitants: Harper, Chloe, and Avery. Harper remarked, \"If Avery is a knight then Chloe is a knave\". \"If Chloe is a knight then Harper is a knight\" - Chloe. Avery asserted: \"Avery is a knight and Chloe is a knight\". So who is a knight and who is a knave?", "names": ["Harper", "Chloe", "Avery"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Harper is a knight, Chloe is a knight, and Avery is a knave.", "solution_text_format": "(1) Harper is a knight\n(2) Chloe is a knight\n(3) 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 Avery is a knight then Chloe is a knave.", "Assume Avery is a knight. No contradiction is found in their claim that Avery is a knight and Chloe is a knight.", "Chloe cannot be a knight, because this would contradict the claim of Harper that If Avery 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 Chloe is a knight then Harper is a knight.", "We have exhausted all possibilities for Chloe, so let us go back and reconsider Avery.", "Assume Avery is a knave. No contradiction is found in their false claim that Avery is a knight and Chloe is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that If Chloe is a knight then Harper is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 2), ('lying', 1)), ('->', ('telling-truth', 1), ('telling-truth', 0)), ('and', ('telling-truth', 2), ('telling-truth', 1)))", "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 3 inhabitants: Henry, Chloe, and Elizabeth. Henry asserted: \"If Elizabeth is a knave then Henry is a knight\". In a statement by Chloe: \"Elizabeth is a knight and Henry is a knight\". Elizabeth told you that Henry is not a knight. So who is a knight and who is a knave?", "names": ["Henry", "Chloe", "Elizabeth"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false], "solution_text": "Henry is a knight, Chloe is a knave, and Elizabeth is a knave.", "solution_text_format": "(1) Henry is a knight\n(2) Chloe is a knave\n(3) 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 Henry is a knight. No contradiction is found in their claim that If Elizabeth is a knave then Henry is a knight.", "Elizabeth cannot be a knight, because this would contradict the claim of their own that Henry is not a knight.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Henry is not a knight.", "Chloe cannot be a knight, because this would contradict the claim of their own that Elizabeth is a knight and Henry is a knight.", "Assume Chloe is a knave. No contradiction is found in their false claim that Elizabeth is a knight and Henry is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 2), ('telling-truth', 0)), ('and', ('telling-truth', 2), ('telling-truth', 0)), ('not', ('telling-truth', 0)))", "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 3 inhabitants: Aurora, Noah, and Lucas. Aurora told you that If Lucas is a knave then Noah is a knight. According to Noah, \"Lucas is a knave\". Lucas expressed that Noah is a knight and Noah is a knave. So who is a knight and who is a knave?", "names": ["Aurora", "Noah", "Lucas"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Aurora is a knight, Noah is a knight, and Lucas is a knave.", "solution_text_format": "(1) Aurora is a knight\n(2) Noah is a knight\n(3) 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 Aurora is a knight. No contradiction is found in their claim that If Lucas is a knave then Noah is a knight.", "Lucas cannot be a knight, because this would contradict the claim of their own that Noah is a knight and Noah is a knave.", "Assume Lucas is a knave. No contradiction is found in their false claim that Noah is a knight and Noah is a knave.", "Assume Noah is a knight. No contradiction is found in their claim that Lucas is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 2), ('telling-truth', 1)), ('lying', 2), ('and', ('telling-truth', 1), ('lying', 1)))", "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 3 inhabitants: Lily, Michael, and Noah. \"Noah is a knight if and only if Michael is a knave,\" Lily mentioned. Michael said, \"If Noah is a knight then Noah is a knave.\" \"If Lily is a knave then Lily is a knight,\" Noah claimed. So who is a knight and who is a knave?", "names": ["Lily", "Michael", "Noah"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Lily is a knight, Michael is a knave, and Noah is a knight.", "solution_text_format": "(1) Lily is a knight\n(2) Michael is a knave\n(3) 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 Noah is a knight if and only if Michael is a knave.", "Assume Noah is a knight. No contradiction is found in their claim that If Lily is a knave then Lily is a knight.", "Michael cannot be a knight, because this would contradict the claim of Lily that Noah 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 Noah is a knight then Noah is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 2), ('lying', 1)), ('->', ('telling-truth', 2), ('lying', 2)), ('->', ('lying', 0), ('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 3 inhabitants: Emily, Lily, and Mason. Emily said that Mason is a knight. \"If Emily is a knight then Lily is a knight,\" Lily mentioned. \"Lily is a knight or Emily is a knave,\" Mason claimed. So who is a knight and who is a knave?", "names": ["Emily", "Lily", "Mason"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true], "solution_text": "Emily is a knight, Lily is a knight, and Mason is a knight.", "solution_text_format": "(1) Emily is a knight\n(2) Lily is a knight\n(3) 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 Emily 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 or Emily is a knave.", "Assume Lily is a knight. No contradiction is found in their claim that If Emily is a knight then Lily is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 2), ('->', ('telling-truth', 0), ('telling-truth', 1)), ('or', ('telling-truth', 1), ('lying', 0)))", "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 3 inhabitants: Matthew, Lily, and Victoria. In a statement by Matthew: \"Victoria is a knave and Lily is a knave\". Lily remarked, \"Matthew is a knight and Matthew is a knave\". As Victoria put it, \"If Matthew is a knave then Victoria is a knight\". So who is a knight and who is a knave?", "names": ["Matthew", "Lily", "Victoria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true], "solution_text": "Matthew is a knave, Lily is a knave, and Victoria is a knight.", "solution_text_format": "(1) Matthew is a knave\n(2) Lily is a knave\n(3) 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 Matthew is a knight. No contradiction is found in their claim that Victoria is a knave and Lily is a knave.", "Victoria cannot be a knight, because this would contradict the claim of Matthew that Victoria is a knave and Lily is a knave.", "Victoria cannot be a knave, because this would contradict the false claim of their own that If Matthew is a knave then Victoria is a knight.", "We have exhausted all possibilities for Victoria, so let us go back and reconsider Matthew.", "Assume Matthew is a knave. No contradiction is found in their false claim that Victoria is a knave and Lily is a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that If Matthew is a knave then Victoria is a knight.", "Lily cannot be a knight, because this would contradict the claim of their own that Matthew is a knight and Matthew is a knave.", "Assume Lily is a knave. No contradiction is found in their false claim that Matthew is a knight and Matthew is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('lying', 1)), ('and', ('telling-truth', 0), ('lying', 0)), ('->', ('lying', 0), ('telling-truth', 2)))", "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 3 inhabitants: Luke, Aiden, and Mason. \"Aiden is a knave and Mason is a knave,\" Luke declared. Aiden expressed that Aiden is a knight. \"If Luke is a knave then Luke is a knight,\" Mason declared. So who is a knight and who is a knave?", "names": ["Luke", "Aiden", "Mason"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Luke is a knave, Aiden is a knight, and Mason is a knave.", "solution_text_format": "(1) Luke is a knave\n(2) Aiden is a knight\n(3) 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 Luke is a knight. No contradiction is found in their claim that Aiden is a knave and Mason is a knave.", "Aiden cannot be a knight, because this would contradict the claim of Luke that Aiden is a knave and Mason is a knave.", "Assume Aiden is a knave. No contradiction is found in their false claim that Aiden is a knight.", "Mason cannot be a knight, because this would contradict the claim of Luke that Aiden is a knave and Mason is a knave.", "Mason cannot be a knave, because this would contradict the false claim of their own that If Luke is a knave then Luke is a knight.", "We have exhausted all possibilities for Mason and Aiden, so let us go back and reconsider Luke.", "Assume Luke is a knave. No contradiction is found in their false claim that Aiden is a knave and Mason is a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that Aiden is a knight.", "Mason cannot be a knight, because this would contradict the claim of their own that If Luke is a knave then Luke is a knight.", "Assume Mason is a knave. No contradiction is found in their false claim that If Luke is a knave then Luke is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('lying', 2)), ('telling-truth', 1), ('->', ('lying', 0), ('telling-truth', 0)))", "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 3 inhabitants: Ava, David, and Zoey. In a statement by Ava: \"David is a knave\". David stated, \"David is a knight if and only if Ava is a knight\". Zoey commented, \"If David is a knight then Ava is a knight\". So who is a knight and who is a knave?", "names": ["Ava", "David", "Zoey"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true], "solution_text": "Ava is a knight, David is a knave, and Zoey is a knight.", "solution_text_format": "(1) Ava is a knight\n(2) David is a knave\n(3) 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 Ava 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 Ava that David is a knave.", "Assume David is a knave. No contradiction is found in their false claim that David is a knight if and only if Ava is a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that If David is a knight then Ava is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('<=>', ('telling-truth', 1), ('telling-truth', 0)), ('->', ('telling-truth', 1), ('telling-truth', 0)))", "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 3 inhabitants: Sofia, Ethan, and Charlotte. Sofia said, \"Ethan is a knight.\" Ethan stated, \"Charlotte is not a knight\". Charlotte asserted: \"Ethan is a knight and Charlotte is a knight\". So who is a knight and who is a knave?", "names": ["Sofia", "Ethan", "Charlotte"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false], "solution_text": "Sofia is a knight, Ethan is a knight, and Charlotte is a knave.", "solution_text_format": "(1) Sofia is a knight\n(2) Ethan is a knight\n(3) 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 Sofia 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 Charlotte is not a knight.", "Charlotte cannot be a knight, because this would contradict the claim of Ethan that Charlotte is not a knight.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Ethan is a knight and Charlotte is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 1), ('not', ('telling-truth', 2)), ('and', ('telling-truth', 1), ('telling-truth', 2)))", "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 3 inhabitants: Jackson, Sebastian, and Emma. As Jackson put it, \"Sebastian is not a knight\". Sebastian stated, \"Emma is a knave\". \"Jackson is a knight and Sebastian is a knight,\" Emma claimed. So who is a knight and who is a knave?", "names": ["Jackson", "Sebastian", "Emma"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Jackson is a knave, Sebastian is a knight, and Emma is a knave.", "solution_text_format": "(1) Jackson is a knave\n(2) Sebastian is a knight\n(3) 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 Sebastian is not a knight.", "Sebastian cannot be a knight, because this would contradict the claim of Jackson that Sebastian is not a knight.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Emma is a knave.", "Emma cannot be a knight, because this would contradict the claim of their own that Jackson is a knight and Sebastian is a knight.", "Emma cannot be a knave, because this would contradict the false claim of Sebastian that Emma is a knave.", "We have exhausted all possibilities for Emma and 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 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 Jackson is a knight and Sebastian is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('lying', 2), ('and', ('telling-truth', 0), ('telling-truth', 1)))", "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 3 inhabitants: Joseph, Aiden, and Jacob. \"If Jacob is a knight then Jacob is a knave,\" Joseph mentioned. \"Jacob is not a knave,\" Aiden declared. According to Jacob, \"Joseph is a knave if and only if Aiden is a knave\". So who is a knight and who is a knave?", "names": ["Joseph", "Aiden", "Jacob"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false], "solution_text": "Joseph is a knight, Aiden is a knave, and Jacob is a knave.", "solution_text_format": "(1) Joseph is a knight\n(2) Aiden is a knave\n(3) 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 Joseph 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 Joseph 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 Joseph 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 Jacob is not a knave.", "Assume Aiden is a knave. No contradiction is found in their false claim that Jacob is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 2), ('lying', 2)), ('not', ('lying', 2)), ('<=>', ('lying', 0), ('lying', 1)))", "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 3 inhabitants: Isabella, James, and Lily. Isabella told you that Lily is a knave and Lily is a knight. As James put it, \"Lily is a knave and Lily is a knight\". According to Lily, \"James is a knight\". So who is a knight and who is a knave?", "names": ["Isabella", "James", "Lily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false], "solution_text": "Isabella is a knave, James is a knave, and Lily is a knave.", "solution_text_format": "(1) Isabella is a knave\n(2) James is a knave\n(3) 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": ["Isabella cannot be a knight, because this would contradict the claim of their own that Lily is a knave and Lily is a knight.", "Assume Isabella is a knave. No contradiction is found in their false claim that Lily is a knave and Lily is a knight.", "Assume Lily 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 Lily is a knave and Lily is a knight.", "James cannot be a knave, because this would contradict the claim of Lily that James is a knight.", "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 James is a knight.", "James cannot be a knight, because this would contradict the claim of their own that Lily is a knave and Lily is a knight.", "Assume James is a knave. No contradiction is found in their false claim that Lily is a knave and Lily is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('telling-truth', 2)), ('and', ('lying', 2), ('telling-truth', 2)), ('telling-truth', 1))", "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 3 inhabitants: Henry, Sofia, and Oliver. Henry said that Oliver is a knave if and only if Oliver is a knight. Sofia remarked, \"Oliver is not a knight\". Oliver remarked, \"Henry is a knight\". So who is a knight and who is a knave?", "names": ["Henry", "Sofia", "Oliver"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false], "solution_text": "Henry is a knave, Sofia is a knight, and Oliver is a knave.", "solution_text_format": "(1) Henry is a knave\n(2) Sofia is a knight\n(3) 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": ["Henry cannot be a knight, because this would contradict the claim of their own that Oliver is a knave if and only if Oliver is a knight.", "Assume Henry is a knave. No contradiction is found in their false claim that Oliver is a knave if and only if Oliver is a knight.", "Oliver cannot be a knight, because this would contradict the claim of their own that Henry is a knight.", "Assume Oliver is a knave. No contradiction is found in their false claim that Henry is a knight.", "Assume Sofia is a knight. No contradiction is found in their claim that Oliver is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 2), ('telling-truth', 2)), ('not', ('telling-truth', 2)), ('telling-truth', 0))", "index": 1099}