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-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: David, Zoey, Alexander, Aurora, and Isabella. In David's words: \"Aurora is a knight or Alexander is a knight\". Zoey expressed that Alexander is not a knight. Alexander said, \"If David is a knave then Aurora is a knight.\" Aurora commented, \"If Zoey is a knave then Isabella is a knave\". According to Isabella, \"David is not a knave\". So who is a knight and who is a knave?", "names": ["David", "Zoey", "Alexander", "Aurora", "Isabella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false, true], "solution_text": "David is a knight, Zoey is a knave, Alexander is a knight, Aurora is a knave, and Isabella is a knight.", "solution_text_format": "(1) David is a knight\n(2) Zoey is a knave\n(3) Alexander is a knight\n(4) Aurora is a knave\n(5) 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 David is a knight. No contradiction is found in their claim that Aurora is a knight or Alexander is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that If Zoey is a knave then Isabella is a knave.", "Assume Zoey 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 Zoey that Alexander is not a knight.", "Alexander cannot be a knave, because this would contradict the false claim of their own that If David is a knave then Aurora is a knight.", "We have exhausted all possibilities for Alexander, so let us go back and reconsider Zoey.", "Assume Zoey is a knave. No contradiction is found in their false claim that Alexander is not a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that If David is a knave then Aurora is a knight.", "Isabella cannot be a knight, because this would contradict the claim of Aurora that If Zoey is a knave then Isabella is a knave.", "Isabella cannot be a knave, because this would contradict the false claim of their own that David is not a knave.", "We have exhausted all possibilities for Isabella, so let us go back and reconsider Alexander.", "Alexander cannot be a knave, because this would contradict the false claim of Zoey that Alexander is not a knight.", "We have exhausted all possibilities for Alexander and Zoey, so let us go back and reconsider Aurora.", "Assume Aurora is a knave. No contradiction is found in their false claim that If Zoey is a knave then Isabella is a knave.", "Zoey cannot be a knight, because this would contradict the false claim of Aurora that If Zoey is a knave then Isabella is a knave.", "Assume Zoey is a knave. No contradiction is found in their false claim that Alexander is not a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that If David is a knave then Aurora is a knight.", "Assume Isabella 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": "(('or', ('telling-truth', 3), ('telling-truth', 2)), ('not', ('telling-truth', 2)), ('->', ('lying', 0), ('telling-truth', 3)), ('->', ('lying', 1), ('lying', 4)), ('not', ('lying', 0)))", "index": 0}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Henry, Isabella, William, Elizabeth, and Mason. Henry commented, \"Elizabeth is not a knave\". Isabella said, \"Isabella is a knight and Elizabeth is a knave.\" In William's words: \"Elizabeth is a knave or Henry is a knight\". In Elizabeth's words: \"William is a knight or Isabella is a knave\". According to Mason, \"Elizabeth is a knight if and only if Henry is a knave\". So who is a knight and who is a knave?", "names": ["Henry", "Isabella", "William", "Elizabeth", "Mason"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, false], "solution_text": "Henry is a knight, Isabella is a knave, William is a knight, Elizabeth is a knight, and Mason is a knave.", "solution_text_format": "(1) Henry is a knight\n(2) Isabella is a knave\n(3) William is a knight\n(4) Elizabeth is a knight\n(5) Mason is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Henry is a knight. No contradiction is found in their claim that Elizabeth is not a knave.", "Assume Elizabeth is a knight. No contradiction is found in their claim that William is a knight or Isabella is a knave.", "Assume William is a knight. No contradiction is found in their claim that Elizabeth is a knave or Henry is a knight.", "Isabella cannot be a knight, because this would contradict the claim of their own that Isabella is a knight and Elizabeth is a knave.", "Assume Isabella is a knave. No contradiction is found in their false claim that Isabella is a knight and Elizabeth is a knave.", "Mason cannot be a knight, because this would contradict the claim of their own that Elizabeth is a knight if and only if Henry is a knave.", "Assume Mason is a knave. No contradiction is found in their false claim that Elizabeth is a knight if and only if Henry is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 3)), ('and', ('telling-truth', 1), ('lying', 3)), ('or', ('lying', 3), ('telling-truth', 0)), ('or', ('telling-truth', 2), ('lying', 1)), ('<=>', ('telling-truth', 3), ('lying', 0)))", "index": 1}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: James, Grace, Scarlett, Zoey, and Jackson. As James put it, \"Zoey is a knave and Jackson is a knight\". Grace remarked, \"Zoey is a knave if and only if Jackson is a knight\". As Scarlett put it, \"Jackson is a knight\". Zoey noted, \"James is a knight\". Jackson said, \"Scarlett is a knight if and only if Scarlett is a knave.\" So who is a knight and who is a knave?", "names": ["James", "Grace", "Scarlett", "Zoey", "Jackson"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, false, false], "solution_text": "James is a knave, Grace is a knave, Scarlett is a knave, Zoey is a knave, and Jackson is a knave.", "solution_text_format": "(1) James is a knave\n(2) Grace is a knave\n(3) Scarlett is a knave\n(4) Zoey is a knave\n(5) 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 James is a knight. No contradiction is found in their claim that Zoey is a knave and Jackson is a knight.", "Zoey cannot be a knight, because this would contradict the claim of James that Zoey is a knave and Jackson is a knight.", "Zoey cannot be a knave, because this would contradict the false claim of their own that James is a knight.", "We have exhausted all possibilities for Zoey, so let us go back and reconsider James.", "Assume James is a knave. No contradiction is found in their false claim that Zoey is a knave and Jackson is a knight.", "Zoey cannot be a knight, because this would contradict the claim of their own that James is a knight.", "Assume Zoey is a knave. No contradiction is found in their false claim that James is a knight.", "Jackson cannot be a knight, because this would contradict the false claim of James that Zoey is a knave and Jackson is a knight.", "Assume Jackson is a knave. No contradiction is found in their false claim that Scarlett is a knight if and only if Scarlett is a knave.", "Scarlett cannot be a knight, because this would contradict the claim of their own that Jackson is a knight.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Jackson is a knight.", "Grace cannot be a knight, because this would contradict the claim of their own that Zoey is a knave if and only if Jackson is a knight.", "Assume Grace is a knave. No contradiction is found in their false claim that Zoey is a knave if and only if Jackson is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 3), ('telling-truth', 4)), ('<=>', ('lying', 3), ('telling-truth', 4)), ('telling-truth', 4), ('telling-truth', 0), ('<=>', ('telling-truth', 2), ('lying', 2)))", "index": 2}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Ava, Zoey, Jack, Luke, and Elizabeth. \"Elizabeth is not a knave,\" Ava declared. Zoey said that Ava is a knight if and only if Jack is a knave. Jack expressed that Ava is not a knight. \"Jack is a knight and Elizabeth is a knave,\" Luke declared. In Elizabeth's words: \"Jack is a knight if and only if Luke is a knave\". So who is a knight and who is a knave?", "names": ["Ava", "Zoey", "Jack", "Luke", "Elizabeth"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, false], "solution_text": "Ava is a knave, Zoey is a knight, Jack is a knight, Luke is a knight, and Elizabeth is a knave.", "solution_text_format": "(1) Ava is a knave\n(2) Zoey is a knight\n(3) Jack is a knight\n(4) Luke is a knight\n(5) 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 Ava 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 Jack is a knight if and only if Luke is a knave.", "Jack cannot be a knight, because this would contradict the claim of their own that Ava is not a knight.", "Assume Jack is a knave. No contradiction is found in their false claim that Ava is not a knight.", "Luke cannot be a knight, because this would contradict the claim of their own that Jack is a knight and Elizabeth is a knave.", "Luke cannot be a knave, because this would contradict the claim of Elizabeth that Jack is a knight if and only if Luke is a knave.", "We have exhausted all possibilities for Luke and Jack, so let us go back and reconsider Elizabeth.", "Elizabeth cannot be a knave, because this would contradict the claim of Ava that Elizabeth is not a knave.", "We have exhausted all possibilities for Elizabeth, so let us go back and reconsider Ava.", "Assume Ava 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 Ava that Elizabeth is not a knave.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Jack is a knight if and only if Luke is a knave.", "Assume Jack is a knight. No contradiction is found in their claim that Ava is not a knight.", "Assume Luke is a knight. No contradiction is found in their claim that Jack is a knight and Elizabeth is a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that Ava is a knight if and only if Jack is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 4)), ('<=>', ('telling-truth', 0), ('lying', 2)), ('not', ('telling-truth', 0)), ('and', ('telling-truth', 2), ('lying', 4)), ('<=>', ('telling-truth', 2), ('lying', 3)))", "index": 3}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: William, Logan, Lily, Ethan, and Liam. William stated, \"Ethan is not a knight\". \"Liam is not a knave\" - Logan. \"Liam is a knight if and only if William is a knave,\" Lily declared. Ethan remarked, \"If Liam is a knight then Lily is a knave\". Liam was heard saying, \"Ethan is a knight if and only if Ethan is a knave\". So who is a knight and who is a knave?", "names": ["William", "Logan", "Lily", "Ethan", "Liam"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true, false], "solution_text": "William is a knave, Logan is a knave, Lily is a knave, Ethan is a knight, and Liam is a knave.", "solution_text_format": "(1) William is a knave\n(2) Logan is a knave\n(3) Lily is a knave\n(4) Ethan is a knight\n(5) 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 William 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 William that Ethan is not a knight.", "Assume Ethan is a knave. No contradiction is found in their false claim that If Liam is a knight then Lily is a knave.", "Liam cannot be a knight, because this would contradict the claim of their own that Ethan is a knight if and only if Ethan is a knave.", "Liam cannot be a knave, because this would contradict the false claim of Ethan that If Liam is a knight then Lily is a knave.", "We have exhausted all possibilities for Liam and Ethan, so let us go back and reconsider William.", "Assume William 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 Liam is a knight then Lily is a knave.", "Liam cannot be a knight, because this would contradict the claim of their own that Ethan is a knight if and only if Ethan is a knave.", "Assume Liam is a knave. No contradiction is found in their false claim that Ethan is a knight if and only if Ethan is a knave.", "Lily cannot be a knight, because this would contradict the claim of their own that Liam is a knight if and only if William is a knave.", "Assume Lily is a knave. No contradiction is found in their false claim that Liam is a knight if and only if William is a knave.", "Logan cannot be a knight, because this would contradict the claim of their own that Liam is not a knave.", "Assume Logan 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": "(('not', ('telling-truth', 3)), ('not', ('lying', 4)), ('<=>', ('telling-truth', 4), ('lying', 0)), ('->', ('telling-truth', 4), ('lying', 2)), ('<=>', ('telling-truth', 3), ('lying', 3)))", "index": 4}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Elizabeth, Logan, Victoria, Zoey, and Ella. In a statement by Elizabeth: \"If Zoey is a knave then Ella is a knight\". Logan was heard saying, \"Zoey is not a knight\". Victoria said that Ella is a knight or Victoria is a knight. Zoey was heard saying, \"Victoria is a knave\". Ella was heard saying, \"Zoey is not a knave\". So who is a knight and who is a knave?", "names": ["Elizabeth", "Logan", "Victoria", "Zoey", "Ella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false, false], "solution_text": "Elizabeth is a knave, Logan is a knight, Victoria is a knight, Zoey is a knave, and Ella is a knave.", "solution_text_format": "(1) Elizabeth is a knave\n(2) Logan is a knight\n(3) Victoria is a knight\n(4) Zoey is a knave\n(5) 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 Elizabeth is a knight. No contradiction is found in their claim that If Zoey is a knave then Ella is a knight.", "Assume Zoey 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 Zoey that Victoria is a knave.", "Assume Victoria is a knave. No contradiction is found in their false claim that Ella is a knight or Victoria is a knight.", "Ella cannot be a knight, because this would contradict the false claim of Victoria that Ella is a knight or Victoria is a knight.", "Ella cannot be a knave, because this would contradict the false claim of their own that Zoey is not a knave.", "We have exhausted all possibilities for Ella and Victoria, so let us go back and reconsider Zoey.", "Assume Zoey is a knave. No contradiction is found in their false claim that Victoria is a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that Ella is a knight or Victoria is a knight.", "Ella cannot be a knight, because this would contradict the claim of their own that Zoey is not a knave.", "Ella cannot be a knave, because this would contradict the claim of Elizabeth that If Zoey is a knave then Ella is a knight.", "We have exhausted all possibilities for Ella, so let us go back and reconsider Victoria.", "Victoria cannot be a knave, because this would contradict the false claim of Zoey that Victoria is a knave.", "We have exhausted all possibilities for Victoria and Zoey, so let us go back and reconsider Elizabeth.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that If Zoey is a knave then Ella is a knight.", "Zoey cannot be a knight, because this would contradict the false claim of Elizabeth that If Zoey is a knave then Ella is a knight.", "Assume Zoey is a knave. No contradiction is found in their false claim that Victoria is a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that Ella is a knight or Victoria is a knight.", "Ella cannot be a knight, because this would contradict the false claim of Elizabeth that If Zoey is a knave then Ella is a knight.", "Assume Ella is a knave. No contradiction is found in their false claim that Zoey is not a knave.", "Assume Logan 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": "(('->', ('lying', 3), ('telling-truth', 4)), ('not', ('telling-truth', 3)), ('or', ('telling-truth', 4), ('telling-truth', 2)), ('lying', 2), ('not', ('lying', 3)))", "index": 5}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Olivia, David, Amelia, Sophia, and James. Olivia was heard saying, \"James is a knight and David is a knight\". David was heard saying, \"Amelia is a knight\". \"If David is a knight then Olivia is a knave\" - Amelia. Sophia stated, \"Amelia is a knave or David is a knight\". James stated, \"Amelia is a knave and David is a knave\". So who is a knight and who is a knave?", "names": ["Olivia", "David", "Amelia", "Sophia", "James"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, false], "solution_text": "Olivia is a knave, David is a knight, Amelia is a knight, Sophia is a knight, and James is a knave.", "solution_text_format": "(1) Olivia is a knave\n(2) David is a knight\n(3) Amelia is a knight\n(4) Sophia is a knight\n(5) 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 Olivia is a knight. No contradiction is found in their claim that James is a knight and David is a knight.", "Assume James is a knight. No contradiction is found in their claim that Amelia is a knave and David is a knave.", "Amelia cannot be a knight, because this would contradict the claim of James that Amelia is a knave and David is a knave.", "Assume Amelia is a knave. No contradiction is found in their false claim that If David is a knight then Olivia is a knave.", "David cannot be a knight, because this would contradict the claim of their own that Amelia is a knight.", "David cannot be a knave, because this would contradict the claim of Olivia that James is a knight and David is a knight.", "We have exhausted all possibilities for David and Amelia, so let us go back and reconsider James.", "James cannot be a knave, because this would contradict the claim of Olivia that James is a knight and David is a knight.", "We have exhausted all possibilities for James, so let us go back and reconsider Olivia.", "Assume Olivia is a knave. No contradiction is found in their false claim that James is a knight and David is a knight.", "Assume James is a knight. No contradiction is found in their claim that Amelia is a knave and David is a knave.", "Amelia cannot be a knight, because this would contradict the claim of James that Amelia is a knave and David is a knave.", "Amelia cannot be a knave, because this would contradict the false claim of their own that If David is a knight then Olivia is a knave.", "We have exhausted all possibilities for Amelia, so let us go back and reconsider James.", "Assume James is a knave. No contradiction is found in their false claim that Amelia is a knave and David is a knave.", "Assume Amelia is a knight. No contradiction is found in their claim that If David is a knight then Olivia is a knave.", "Assume David is a knight. No contradiction is found in their claim that Amelia is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that Amelia is a knave or David is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 4), ('telling-truth', 1)), ('telling-truth', 2), ('->', ('telling-truth', 1), ('lying', 0)), ('or', ('lying', 2), ('telling-truth', 1)), ('and', ('lying', 2), ('lying', 1)))", "index": 6}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Elizabeth, Aurora, Chloe, David, and Aiden. \"Aurora is a knight or Chloe is a knight\" - Elizabeth. Aurora said that Elizabeth is a knight or David is a knight. \"Aurora is not a knight,\" Chloe declared. David said, \"Aurora is a knight.\" \"Chloe is a knight and Chloe is a knave,\" Aiden mentioned. So who is a knight and who is a knave?", "names": ["Elizabeth", "Aurora", "Chloe", "David", "Aiden"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true, false], "solution_text": "Elizabeth is a knight, Aurora is a knight, Chloe is a knave, David is a knight, and Aiden is a knave.", "solution_text_format": "(1) Elizabeth is a knight\n(2) Aurora is a knight\n(3) Chloe is a knave\n(4) David is a knight\n(5) 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 Elizabeth is a knight. No contradiction is found in their claim that Aurora is a knight or Chloe is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that Elizabeth is a knight or David is a knight.", "Assume David is a knight. No contradiction is found in their claim that Aurora is a knight.", "Chloe cannot be a knight, because this would contradict the claim of their own that Aurora is not a knight.", "Assume Chloe is a knave. No contradiction is found in their false claim that Aurora is not a knight.", "Aiden cannot be a knight, because this would contradict the claim of their own that Chloe is a knight and Chloe is a knave.", "Assume Aiden is a knave. No contradiction is found in their false claim that Chloe is a knight and Chloe is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 1), ('telling-truth', 2)), ('or', ('telling-truth', 0), ('telling-truth', 3)), ('not', ('telling-truth', 1)), ('telling-truth', 1), ('and', ('telling-truth', 2), ('lying', 2)))", "index": 7}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Mia, Lucas, Avery, William, and Emily. Mia said, \"Mia is a knight or Lucas is a knave.\" Lucas said, \"William is a knight and Emily is a knight.\" In a statement by Avery: \"Avery is a knight if and only if Emily is a knave\". \"Lucas is a knave or William is a knight,\" William mentioned. As Emily put it, \"Avery is a knight if and only if Mia is a knave\". So who is a knight and who is a knave?", "names": ["Mia", "Lucas", "Avery", "William", "Emily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, false], "solution_text": "Mia is a knight, Lucas is a knave, Avery is a knight, William is a knight, and Emily is a knave.", "solution_text_format": "(1) Mia is a knight\n(2) Lucas is a knave\n(3) Avery is a knight\n(4) William is a knight\n(5) 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 Mia is a knight. No contradiction is found in their claim that Mia is a knight or Lucas is a knave.", "Assume Lucas is a knight. No contradiction is found in their claim that William is a knight and Emily is a knight.", "Assume William is a knight. No contradiction is found in their claim that Lucas is a knave or William is a knight.", "Assume Emily is a knight. No contradiction is found in their claim that Avery is a knight if and only if Mia is a knave.", "Avery cannot be a knight, because this would contradict the claim of their own that Avery is a knight if and only if Emily is a knave.", "Avery cannot be a knave, because this would contradict the false claim of their own that Avery is a knight if and only if Emily is a knave.", "We have exhausted all possibilities for Avery, so let us go back and reconsider Emily.", "Emily cannot be a knave, because this would contradict the claim of Lucas that William is a knight and Emily is a knight.", "We have exhausted all possibilities for Emily, so let us go back and reconsider William.", "William cannot be a knave, because this would contradict the claim of Lucas that William is a knight and Emily is a knight.", "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 William is a knight and Emily is a knight.", "Assume William is a knight. No contradiction is found in their claim that Lucas is a knave or William is a knight.", "Emily cannot be a knight, because this would contradict the false claim of Lucas that William is a knight and Emily is a knight.", "Assume Emily is a knave. No contradiction is found in their false claim that Avery is a knight if and only if Mia is a knave.", "Assume Avery is a knight. No contradiction is found in their claim that Avery 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)), ('and', ('telling-truth', 3), ('telling-truth', 4)), ('<=>', ('telling-truth', 2), ('lying', 4)), ('or', ('lying', 1), ('telling-truth', 3)), ('<=>', ('telling-truth', 2), ('lying', 0)))", "index": 8}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Jackson, Sophia, Mia, Ella, and James. Jackson was heard saying, \"Ella is not a knight\". Sophia told you that Jackson is not a knave. Mia asserted: \"Ella is not a knave\". Ella was heard saying, \"James is a knight and James is a knave\". In James's words: \"Ella is a knight or Sophia is a knave\". So who is a knight and who is a knave?", "names": ["Jackson", "Sophia", "Mia", "Ella", "James"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false, false], "solution_text": "Jackson is a knight, Sophia is a knight, Mia is a knave, Ella is a knave, and James is a knave.", "solution_text_format": "(1) Jackson is a knight\n(2) Sophia is a knight\n(3) Mia is a knave\n(4) Ella is a knave\n(5) 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 Jackson is a knight. No contradiction is found in their claim that Ella is not a knight.", "Ella cannot be a knight, because this would contradict the claim of Jackson that Ella is not a knight.", "Assume Ella 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 Ella is a knight or Sophia is a knave.", "Sophia cannot be a knight, because this would contradict the claim of James that Ella is a knight or Sophia is a knave.", "Sophia cannot be a knave, because this would contradict the false claim of their own that Jackson is not a knave.", "We have exhausted all possibilities for Sophia, so let us go back and reconsider James.", "Assume James is a knave. No contradiction is found in their false claim that Ella is a knight or Sophia is a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that Jackson is not a knave.", "Mia cannot be a knight, because this would contradict the claim of their own that Ella is not a knave.", "Assume Mia is a knave. No contradiction is found in their false claim that Ella is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 3)), ('not', ('lying', 0)), ('not', ('lying', 3)), ('and', ('telling-truth', 4), ('lying', 4)), ('or', ('telling-truth', 3), ('lying', 1)))", "index": 9}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Amelia, Matthew, Daniel, Lucas, and Mia. Amelia commented, \"If Daniel is a knave then Lucas is a knave\". Matthew remarked, \"Amelia is a knave and Daniel is a knight\". In Daniel's words: \"Lucas is a knight if and only if Matthew is a knight\". \"Matthew is a knight and Daniel is a knight\" - Lucas. \"Lucas is a knave or Matthew is a knight,\" Mia claimed. So who is a knight and who is a knave?", "names": ["Amelia", "Matthew", "Daniel", "Lucas", "Mia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false, true], "solution_text": "Amelia is a knight, Matthew is a knave, Daniel is a knight, Lucas is a knave, and Mia is a knight.", "solution_text_format": "(1) Amelia is a knight\n(2) Matthew is a knave\n(3) Daniel is a knight\n(4) Lucas is a knave\n(5) 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 Amelia is a knight. No contradiction is found in their claim that If Daniel is a knave then Lucas is a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that Lucas is a knight if and only if Matthew is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that Matthew is a knight and Daniel is a knight.", "Matthew cannot be a knight, because this would contradict the claim of their own that Amelia is a knave and Daniel is a knight.", "Matthew cannot be a knave, because this would contradict the claim of Daniel that Lucas is a knight if and only if Matthew is a knight.", "We have exhausted all possibilities for Matthew, so let us go back and reconsider Lucas.", "Assume Lucas is a knave. No contradiction is found in their false claim that Matthew is a knight and Daniel is a knight.", "Matthew cannot be a knight, because this would contradict the claim of their own that Amelia is a knave and Daniel is a knight.", "Assume Matthew is a knave. No contradiction is found in their false claim that Amelia is a knave and Daniel is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that Lucas is a knave or Matthew is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 2), ('lying', 3)), ('and', ('lying', 0), ('telling-truth', 2)), ('<=>', ('telling-truth', 3), ('telling-truth', 1)), ('and', ('telling-truth', 1), ('telling-truth', 2)), ('or', ('lying', 3), ('telling-truth', 1)))", "index": 10}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aurora, Samuel, Daniel, Joseph, and Oliver. In Aurora's words: \"Joseph is a knight if and only if Samuel is a knave\". In a statement by Samuel: \"Oliver is a knave or Daniel is a knave\". Daniel expressed that Samuel is a knight or Oliver is a knave. Joseph commented, \"If Joseph is a knight then Daniel is a knight\". Oliver stated, \"Joseph is a knave\". So who is a knight and who is a knave?", "names": ["Aurora", "Samuel", "Daniel", "Joseph", "Oliver"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, false], "solution_text": "Aurora is a knave, Samuel is a knight, Daniel is a knight, Joseph is a knight, and Oliver is a knave.", "solution_text_format": "(1) Aurora is a knave\n(2) Samuel is a knight\n(3) Daniel is a knight\n(4) Joseph is a knight\n(5) 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 Aurora is a knight. No contradiction is found in their claim that Joseph is a knight if and only if Samuel is a knave.", "Assume Joseph is a knight. No contradiction is found in their claim that If Joseph is a knight then Daniel is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that Samuel is a knight or Oliver is a knave.", "Samuel cannot be a knight, because this would contradict the claim of Aurora that Joseph is a knight if and only if Samuel is a knave.", "Assume Samuel is a knave. No contradiction is found in their false claim that Oliver is a knave or Daniel is a knave.", "Oliver cannot be a knight, because this would contradict the claim of Daniel that Samuel is a knight or Oliver is a knave.", "Oliver cannot be a knave, because this would contradict the false claim of Samuel that Oliver is a knave or Daniel is a knave.", "We have exhausted all possibilities for Oliver and Samuel, so let us go back and reconsider Daniel.", "Daniel cannot be a knave, because this would contradict the claim of Joseph that If Joseph is a knight then Daniel is a knight.", "We have exhausted all possibilities for Daniel, so let us go back and reconsider Joseph.", "Joseph cannot be a knave, because this would contradict the false claim of their own that If Joseph is a knight then Daniel is a knight.", "We have exhausted all possibilities for Joseph, so let us go back and reconsider Aurora.", "Assume Aurora is a knave. No contradiction is found in their false claim that Joseph is a knight if and only if Samuel is a knave.", "Assume Joseph is a knight. No contradiction is found in their claim that If Joseph is a knight then Daniel is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that Samuel is a knight or Oliver is a knave.", "Assume Samuel is a knight. No contradiction is found in their claim that Oliver is a knave or Daniel is a knave.", "Oliver cannot be a knight, because this would contradict the claim of Samuel that Oliver is a knave or Daniel is a knave.", "Assume Oliver is a knave. No contradiction is found in their false claim that Joseph is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 3), ('lying', 1)), ('or', ('lying', 4), ('lying', 2)), ('or', ('telling-truth', 1), ('lying', 4)), ('->', ('telling-truth', 3), ('telling-truth', 2)), ('lying', 3))", "index": 11}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Jackson, Amelia, Samuel, Mia, and Logan. Jackson expressed that Samuel is a knight and Logan is a knight. Amelia stated, \"Mia is a knight or Mia is a knave\". According to Samuel, \"Logan is a knight if and only if Logan is a knave\". Mia expressed that If Jackson is a knave then Logan is a knight. \"Mia is a knave or Mia is a knight,\" Logan declared. So who is a knight and who is a knave?", "names": ["Jackson", "Amelia", "Samuel", "Mia", "Logan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true, true], "solution_text": "Jackson is a knave, Amelia is a knight, Samuel is a knave, Mia is a knight, and Logan is a knight.", "solution_text_format": "(1) Jackson is a knave\n(2) Amelia is a knight\n(3) Samuel is a knave\n(4) Mia is a knight\n(5) 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 Jackson is a knight. No contradiction is found in their claim that Samuel is a knight and Logan is a knight.", "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.", "Samuel cannot be a knave, because this would contradict the claim of Jackson that Samuel is a knight and Logan is a knight.", "We have exhausted all possibilities for 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 and Logan is a knight.", "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 Mia is a knave or Mia is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that If Jackson is a knave then Logan is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that Mia is a knight or Mia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 2), ('telling-truth', 4)), ('or', ('telling-truth', 3), ('lying', 3)), ('<=>', ('telling-truth', 4), ('lying', 4)), ('->', ('lying', 0), ('telling-truth', 4)), ('or', ('lying', 3), ('telling-truth', 3)))", "index": 12}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Avery, Riley, Henry, Charlotte, and James. Avery noted, \"James is a knave\". Riley noted, \"Charlotte is a knight if and only if Riley is a knight\". \"James is a knight or Riley is a knave,\" Henry mentioned. Charlotte said that Avery is a knight and James is a knave. James said that Riley is a knave if and only if Charlotte is a knave. So who is a knight and who is a knave?", "names": ["Avery", "Riley", "Henry", "Charlotte", "James"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, false], "solution_text": "Avery is a knight, Riley is a knave, Henry is a knight, Charlotte is a knight, and James is a knave.", "solution_text_format": "(1) Avery is a knight\n(2) Riley is a knave\n(3) Henry is a knight\n(4) Charlotte is a knight\n(5) James is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Avery is a knight. No contradiction is found in their claim that James is a knave.", "James cannot be a knight, because this would contradict the claim of Avery that James is a knave.", "Assume James is a knave. No contradiction is found in their false claim that Riley is a knave if and only if Charlotte is a knave.", "Assume Riley is a knight. No contradiction is found in their claim that Charlotte is a knight if and only if Riley is a knight.", "Charlotte cannot be a knight, because this would contradict the false claim of James that Riley is a knave if and only if Charlotte is a knave.", "Charlotte cannot be a knave, because this would contradict the claim of Riley that Charlotte is a knight if and only if Riley is a knight.", "We have exhausted all possibilities for Charlotte, so let us go back and reconsider Riley.", "Assume Riley is a knave. No contradiction is found in their false claim that Charlotte is a knight if and only if Riley is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that Avery is a knight and James is a knave.", "Assume Henry is a knight. No contradiction is found in their claim that James is a knight or Riley is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 4), ('<=>', ('telling-truth', 3), ('telling-truth', 1)), ('or', ('telling-truth', 4), ('lying', 1)), ('and', ('telling-truth', 0), ('lying', 4)), ('<=>', ('lying', 1), ('lying', 3)))", "index": 13}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Mason, Sebastian, Aria, Ella, and Jack. \"Sebastian is a knave or Mason is a knight\" - Mason. Sebastian said that Jack is a knight and Ella is a knave. Aria noted, \"Jack is a knight or Sebastian is a knight\". \"Sebastian is a knight and Mason is a knave\" - Ella. Jack told you that Sebastian is a knight and Mason is a knave. So who is a knight and who is a knave?", "names": ["Mason", "Sebastian", "Aria", "Ella", "Jack"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false, false], "solution_text": "Mason is a knight, Sebastian is a knave, Aria is a knave, Ella is a knave, and Jack is a knave.", "solution_text_format": "(1) Mason is a knight\n(2) Sebastian is a knave\n(3) Aria is a knave\n(4) Ella is a knave\n(5) 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 Sebastian is a knave or Mason is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Jack is a knight and Ella is a knave.", "Jack cannot be a knight, because this would contradict the claim of their own that Sebastian is a knight and Mason is a knave.", "Jack cannot be a knave, because this would contradict the claim of Sebastian that Jack is a knight and Ella is a knave.", "We have exhausted all possibilities for Jack, so let us go back and reconsider Sebastian.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Jack is a knight and Ella is a knave.", "Jack cannot be a knight, because this would contradict the claim of their own that Sebastian is a knight and Mason is a knave.", "Assume Jack is a knave. No contradiction is found in their false claim that Sebastian is a knight and Mason is a knave.", "Ella cannot be a knight, because this would contradict the claim of their own that Sebastian is a knight and Mason is a knave.", "Assume Ella is a knave. No contradiction is found in their false claim that Sebastian is a knight and Mason is a knave.", "Aria cannot be a knight, because this would contradict the claim of their own that Jack is a knight or Sebastian is a knight.", "Assume Aria is a knave. No contradiction is found in their false claim that Jack is a knight or Sebastian is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('telling-truth', 0)), ('and', ('telling-truth', 4), ('lying', 3)), ('or', ('telling-truth', 4), ('telling-truth', 1)), ('and', ('telling-truth', 1), ('lying', 0)), ('and', ('telling-truth', 1), ('lying', 0)))", "index": 14}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Lucas, Oliver, Penelope, Emma, and Aiden. Lucas told you that Emma is a knight or Penelope is a knight. Oliver expressed that Aiden is a knight and Aiden is a knave. In a statement by Penelope: \"Oliver is not a knave\". Emma said that If Lucas is a knight then Aiden is a knight. \"Penelope is a knave\" - Aiden. So who is a knight and who is a knave?", "names": ["Lucas", "Oliver", "Penelope", "Emma", "Aiden"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, true], "solution_text": "Lucas is a knight, Oliver is a knave, Penelope is a knave, Emma is a knight, and Aiden is a knight.", "solution_text_format": "(1) Lucas is a knight\n(2) Oliver is a knave\n(3) Penelope is a knave\n(4) Emma is a knight\n(5) 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 Emma is a knight or Penelope is a knight.", "Assume Emma is a knight. No contradiction is found in their claim that If Lucas is a knight then Aiden is a knight.", "Assume Aiden 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 Aiden that Penelope is a knave.", "Assume Penelope is a knave. No contradiction is found in their false claim that Oliver is not a knave.", "Oliver cannot be a knight, because this would contradict the claim of their own that Aiden is a knight and Aiden is a knave.", "Assume Oliver is a knave. No contradiction is found in their false claim that Aiden is a knight and Aiden is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 3), ('telling-truth', 2)), ('and', ('telling-truth', 4), ('lying', 4)), ('not', ('lying', 1)), ('->', ('telling-truth', 0), ('telling-truth', 4)), ('lying', 2))", "index": 15}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Penelope, Scarlett, Zoey, David, and Logan. \"Penelope is a knight or Logan is a knight\" - Penelope. In Scarlett's words: \"David is not a knave\". Zoey remarked, \"Scarlett is a knight or Logan is a knave\". David was heard saying, \"If Penelope is a knave then Zoey is a knight\". \"If David is a knave then Zoey is a knight,\" Logan mentioned. So who is a knight and who is a knave?", "names": ["Penelope", "Scarlett", "Zoey", "David", "Logan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, true], "solution_text": "Penelope is a knight, Scarlett is a knight, Zoey is a knight, David is a knight, and Logan is a knight.", "solution_text_format": "(1) Penelope is a knight\n(2) Scarlett is a knight\n(3) Zoey is a knight\n(4) David is a knight\n(5) 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 Penelope is a knight. No contradiction is found in their claim that Penelope is a knight or Logan is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that If David is a knave then Zoey is a knight.", "Assume David is a knight. No contradiction is found in their claim that If Penelope is a knave then Zoey is a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that Scarlett is a knight or Logan is a knave.", "Assume Scarlett 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": "(('or', ('telling-truth', 0), ('telling-truth', 4)), ('not', ('lying', 3)), ('or', ('telling-truth', 1), ('lying', 4)), ('->', ('lying', 0), ('telling-truth', 2)), ('->', ('lying', 3), ('telling-truth', 2)))", "index": 16}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Jack, Oliver, Amelia, Charlotte, and Zoey. As Jack put it, \"Zoey is a knave or Zoey is a knight\". Oliver commented, \"Zoey is a knave if and only if Zoey is a knight\". In Amelia's words: \"Charlotte is a knight or Zoey is a knight\". \"Jack is a knave if and only if Zoey is a knight,\" Charlotte claimed. Zoey remarked, \"If Jack is a knave then Amelia is a knight\". So who is a knight and who is a knave?", "names": ["Jack", "Oliver", "Amelia", "Charlotte", "Zoey"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false, true], "solution_text": "Jack is a knight, Oliver is a knave, Amelia is a knight, Charlotte is a knave, and Zoey is a knight.", "solution_text_format": "(1) Jack is a knight\n(2) Oliver is a knave\n(3) Amelia is a knight\n(4) Charlotte is a knave\n(5) 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 knave or Zoey is a knight.", "Assume Zoey 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 Charlotte is a knight or Zoey is a knight.", "Charlotte cannot be a knight, because this would contradict the claim of their own that Jack is a knave if and only if Zoey is a knight.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Jack is a knave if and only if Zoey is a knight.", "Oliver 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 Oliver 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": "(('or', ('lying', 4), ('telling-truth', 4)), ('<=>', ('lying', 4), ('telling-truth', 4)), ('or', ('telling-truth', 3), ('telling-truth', 4)), ('<=>', ('lying', 0), ('telling-truth', 4)), ('->', ('lying', 0), ('telling-truth', 2)))", "index": 17}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Penelope, Luke, Henry, Sebastian, and Liam. Penelope asserted: \"Luke is a knave or Penelope is a knight\". \"Sebastian is not a knave,\" Luke declared. \"Penelope is a knight\" - Henry. As Sebastian put it, \"Liam is not a knight\". Liam told you that Penelope is a knave. So who is a knight and who is a knave?", "names": ["Penelope", "Luke", "Henry", "Sebastian", "Liam"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, false], "solution_text": "Penelope is a knight, Luke is a knight, Henry is a knight, Sebastian is a knight, and Liam is a knave.", "solution_text_format": "(1) Penelope is a knight\n(2) Luke is a knight\n(3) Henry is a knight\n(4) Sebastian is a knight\n(5) 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 Luke is a knave or Penelope is a knight.", "Assume Luke is a knight. No contradiction is found in their claim that Sebastian is not a knave.", "Assume Sebastian is a knight. No contradiction is found in their claim that Liam is not a knight.", "Liam cannot be a knight, because this would contradict the claim of Sebastian that Liam is not a knight.", "Assume Liam is a knave. No contradiction is found in their false claim that Penelope is a knave.", "Assume Henry is a knight. No contradiction is found in their claim that Penelope is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('telling-truth', 0)), ('not', ('lying', 3)), ('telling-truth', 0), ('not', ('telling-truth', 4)), ('lying', 0))", "index": 18}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: David, Grace, Charlotte, Joseph, and Lucas. In a statement by David: \"Joseph is a knight if and only if Lucas is a knave\". According to Grace, \"David is a knave and Joseph is a knave\". Charlotte told you that Charlotte is a knight and Grace is a knave. Joseph expressed that Lucas is a knight or Charlotte is a knave. In Lucas's words: \"Joseph is a knave\". So who is a knight and who is a knave?", "names": ["David", "Grace", "Charlotte", "Joseph", "Lucas"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, false], "solution_text": "David is a knight, Grace is a knave, Charlotte is a knave, Joseph is a knight, and Lucas is a knave.", "solution_text_format": "(1) David is a knight\n(2) Grace is a knave\n(3) Charlotte is a knave\n(4) Joseph is a knight\n(5) 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 David is a knight. No contradiction is found in their claim that Joseph is a knight if and only if Lucas is a knave.", "Assume Joseph is a knight. No contradiction is found in their claim that Lucas is a knight or Charlotte is a knave.", "Lucas cannot be a knight, because this would contradict the claim of David that Joseph is a knight if and only if Lucas is a knave.", "Assume Lucas is a knave. No contradiction is found in their false claim that Joseph is a knave.", "Charlotte cannot be a knight, because this would contradict the claim of Joseph that Lucas is a knight or Charlotte is a knave.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Charlotte is a knight and Grace is a knave.", "Grace cannot be a knight, because this would contradict the claim of their own that David is a knave and Joseph is a knave.", "Assume Grace is a knave. No contradiction is found in their false claim that David is a knave and Joseph is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 3), ('lying', 4)), ('and', ('lying', 0), ('lying', 3)), ('and', ('telling-truth', 2), ('lying', 1)), ('or', ('telling-truth', 4), ('lying', 2)), ('lying', 3))", "index": 19}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Jacob, Riley, Benjamin, Emily, and Aurora. In Jacob's words: \"Riley is a knave\". Riley told you that Emily is a knight or Emily is a knave. In a statement by Benjamin: \"Jacob is a knave\". Emily noted, \"Aurora is a knight and Benjamin is a knight\". Aurora told you that Jacob is not a knight. So who is a knight and who is a knave?", "names": ["Jacob", "Riley", "Benjamin", "Emily", "Aurora"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, true], "solution_text": "Jacob is a knave, Riley is a knight, Benjamin is a knight, Emily is a knight, and Aurora is a knight.", "solution_text_format": "(1) Jacob is a knave\n(2) Riley is a knight\n(3) Benjamin is a knight\n(4) Emily is a knight\n(5) Aurora is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jacob is a knight. No contradiction is found in their claim that Riley is a knave.", "Riley cannot be a knight, because this would contradict the claim of Jacob that Riley is a knave.", "Riley cannot be a knave, because this would contradict the false claim of their own that Emily is a knight or Emily is a knave.", "We have exhausted all possibilities for Riley, so let us go back and reconsider Jacob.", "Assume Jacob 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 Emily is a knight or Emily is a knave.", "Assume Emily is a knight. No contradiction is found in their claim that Aurora is a knight and Benjamin is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that Jacob is not a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that Jacob is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('or', ('telling-truth', 3), ('lying', 3)), ('lying', 0), ('and', ('telling-truth', 4), ('telling-truth', 2)), ('not', ('telling-truth', 0)))", "index": 20}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Daniel, Olivia, Jackson, Sebastian, and Jacob. Daniel asserted: \"Jackson is a knave if and only if Sebastian is a knave\". As Olivia put it, \"If Sebastian is a knave then Jackson is a knight\". \"Olivia is a knight or Jacob is a knight,\" Jackson mentioned. Sebastian said, \"Olivia is a knight.\" \"Jackson is a knight or Jackson is a knave\" - Jacob. So who is a knight and who is a knave?", "names": ["Daniel", "Olivia", "Jackson", "Sebastian", "Jacob"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, true], "solution_text": "Daniel is a knight, Olivia is a knight, Jackson is a knight, Sebastian is a knight, and Jacob is a knight.", "solution_text_format": "(1) Daniel is a knight\n(2) Olivia is a knight\n(3) Jackson is a knight\n(4) Sebastian is a knight\n(5) 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 Daniel is a knight. No contradiction is found in their claim that Jackson is a knave if and only if Sebastian is a knave.", "Assume Jackson is a knight. No contradiction is found in their claim that Olivia is a knight or Jacob is a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that If Sebastian is a knave then Jackson is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Olivia is a knight.", "Assume Jacob 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": "(('<=>', ('lying', 2), ('lying', 3)), ('->', ('lying', 3), ('telling-truth', 2)), ('or', ('telling-truth', 1), ('telling-truth', 4)), ('telling-truth', 1), ('or', ('telling-truth', 2), ('lying', 2)))", "index": 21}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Zoey, Sophia, Emily, Michael, and Lucas. As Zoey put it, \"Sophia is a knight or Emily is a knight\". Sophia said, \"If Emily is a knight then Lucas is a knave.\" Emily said that Zoey is a knave if and only if Lucas is a knave. Michael told you that Sophia is a knight and Lucas is a knave. Lucas said that If Sophia is a knight then Zoey is a knight. So who is a knight and who is a knave?", "names": ["Zoey", "Sophia", "Emily", "Michael", "Lucas"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false, true], "solution_text": "Zoey is a knight, Sophia is a knave, Emily is a knight, Michael is a knave, and Lucas is a knight.", "solution_text_format": "(1) Zoey is a knight\n(2) Sophia is a knave\n(3) Emily is a knight\n(4) Michael is a knave\n(5) 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 Zoey is a knight. No contradiction is found in their claim that Sophia is a knight or Emily is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that If Emily is a knight then Lucas is a knave.", "Assume Emily is a knight. No contradiction is found in their claim that Zoey is a knave if and only if Lucas is a knave.", "Lucas cannot be a knight, because this would contradict the claim of Sophia that If Emily is a knight then Lucas is a knave.", "Lucas cannot be a knave, because this would contradict the claim of Emily that Zoey is a knave if and only if Lucas is a knave.", "We have exhausted all possibilities for Lucas, so let us go back and reconsider Emily.", "Assume Emily is a knave. No contradiction is found in their false claim that Zoey is a knave if and only if Lucas is a knave.", "Lucas cannot be a knight, because this would contradict the false claim of Emily that Zoey is a knave if and only if Lucas is a knave.", "Lucas cannot be a knave, because this would contradict the false claim of their own that If Sophia is a knight then Zoey is a knight.", "We have exhausted all possibilities for Lucas and Emily, so let us go back and reconsider Sophia.", "Assume Sophia is a knave. No contradiction is found in their false claim that If Emily is a knight then Lucas is a knave.", "Assume Emily is a knight. No contradiction is found in their claim that Zoey is a knave if and only if Lucas is a knave.", "Assume Lucas is a knight. No contradiction is found in their claim that If Sophia is a knight then Zoey is a knight.", "Michael cannot be a knight, because this would contradict the claim of their own that Sophia is a knight and Lucas is a knave.", "Assume Michael is a knave. No contradiction is found in their false claim that Sophia is a knight and Lucas is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 1), ('telling-truth', 2)), ('->', ('telling-truth', 2), ('lying', 4)), ('<=>', ('lying', 0), ('lying', 4)), ('and', ('telling-truth', 1), ('lying', 4)), ('->', ('telling-truth', 1), ('telling-truth', 0)))", "index": 22}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: William, Michael, Penelope, Ava, and Liam. William noted, \"Michael is a knight\". Michael commented, \"Penelope is not a knave\". Penelope noted, \"William is a knight and Michael is a knave\". \"Penelope is a knight or Penelope is a knave\" - Ava. \"Ava is a knave and Liam is a knight,\" Liam claimed. So who is a knight and who is a knave?", "names": ["William", "Michael", "Penelope", "Ava", "Liam"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true, false], "solution_text": "William is a knave, Michael is a knave, Penelope is a knave, Ava is a knight, and Liam is a knave.", "solution_text_format": "(1) William is a knave\n(2) Michael is a knave\n(3) Penelope is a knave\n(4) Ava is a knight\n(5) 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 William 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 knave.", "Penelope cannot be a knight, because this would contradict the claim of their own that William is a knight and Michael is a knave.", "Penelope cannot be a knave, because this would contradict the claim of Michael that Penelope is not a knave.", "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 William that Michael is a knight.", "We have exhausted all possibilities for Michael, so let us go back and reconsider William.", "Assume William 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 William that Michael is a knight.", "Assume Michael is a knave. No contradiction is found in their false claim that Penelope is not a knave.", "Penelope cannot be a knight, because this would contradict the false claim of Michael that Penelope is not a knave.", "Assume Penelope is a knave. No contradiction is found in their false claim that William is a knight and Michael is a knave.", "Assume Ava is a knight. No contradiction is found in their claim that Penelope is a knight or Penelope is a knave.", "Liam cannot be a knight, because this would contradict the claim of their own that Ava is a knave and Liam is a knight.", "Assume Liam is a knave. No contradiction is found in their false claim that Ava is a knave and Liam is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 1), ('not', ('lying', 2)), ('and', ('telling-truth', 0), ('lying', 1)), ('or', ('telling-truth', 2), ('lying', 2)), ('and', ('lying', 3), ('telling-truth', 4)))", "index": 23}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Emma, Ethan, Charlotte, Grace, and Lucas. \"Charlotte is a knight,\" Emma mentioned. Ethan told you that Emma is a knave and Grace is a knight. Charlotte said that Ethan is a knight or Ethan is a knave. Grace commented, \"If Emma is a knight then Charlotte is a knight\". According to Lucas, \"Charlotte is not a knight\". So who is a knight and who is a knave?", "names": ["Emma", "Ethan", "Charlotte", "Grace", "Lucas"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, false], "solution_text": "Emma is a knight, Ethan is a knave, Charlotte is a knight, Grace is a knight, and Lucas is a knave.", "solution_text_format": "(1) Emma is a knight\n(2) Ethan is a knave\n(3) Charlotte is a knight\n(4) Grace is a knight\n(5) 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 Emma is a knight. No contradiction is found in their claim that Charlotte is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that Ethan is a knight or Ethan is a knave.", "Ethan cannot be a knight, because this would contradict the claim of their own that Emma is a knave and Grace is a knight.", "Assume Ethan is a knave. No contradiction is found in their false claim that Emma is a knave and Grace is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that If Emma is a knight then Charlotte is a knight.", "Lucas cannot be a knight, because this would contradict the claim of their own that Charlotte is not a knight.", "Assume Lucas 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": "(('telling-truth', 2), ('and', ('lying', 0), ('telling-truth', 3)), ('or', ('telling-truth', 1), ('lying', 1)), ('->', ('telling-truth', 0), ('telling-truth', 2)), ('not', ('telling-truth', 2)))", "index": 24}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Jackson, Samuel, Abigail, Sebastian, and Emma. Jackson said that Abigail is not a knave. Samuel was heard saying, \"Emma is not a knave\". Abigail told you that Samuel is not a knight. Sebastian noted, \"Samuel is a knave\". In Emma's words: \"Jackson is a knight and Emma is a knight\". So who is a knight and who is a knave?", "names": ["Jackson", "Samuel", "Abigail", "Sebastian", "Emma"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, false], "solution_text": "Jackson is a knight, Samuel is a knave, Abigail is a knight, Sebastian is a knight, and Emma is a knave.", "solution_text_format": "(1) Jackson is a knight\n(2) Samuel is a knave\n(3) Abigail is a knight\n(4) Sebastian is a knight\n(5) 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 Abigail is not a knave.", "Assume Abigail 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 Abigail that Samuel is not a knight.", "Assume Samuel is a knave. No contradiction is found in their false claim that Emma is not a knave.", "Emma cannot be a knight, because this would contradict the false claim of Samuel that Emma is not a knave.", "Assume Emma is a knave. No contradiction is found in their false claim that Jackson is a knight and Emma is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Samuel is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 2)), ('not', ('lying', 4)), ('not', ('telling-truth', 1)), ('lying', 1), ('and', ('telling-truth', 0), ('telling-truth', 4)))", "index": 25}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Victoria, Emma, Michael, Jackson, and Liam. As Victoria put it, \"Michael is a knave\". Emma expressed that If Liam is a knight then Liam is a knave. Michael commented, \"Victoria is a knight or Victoria is a knave\". \"Victoria is a knave,\" Jackson declared. \"Michael is a knave,\" Liam claimed. So who is a knight and who is a knave?", "names": ["Victoria", "Emma", "Michael", "Jackson", "Liam"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, false], "solution_text": "Victoria is a knave, Emma is a knight, Michael is a knight, Jackson is a knight, and Liam is a knave.", "solution_text_format": "(1) Victoria is a knave\n(2) Emma is a knight\n(3) Michael is a knight\n(4) Jackson is a knight\n(5) 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 Victoria is a knight. No contradiction is found in their claim that Michael is a knave.", "Michael cannot be a knight, because this would contradict the claim of Victoria that Michael is a knave.", "Michael cannot be a knave, because this would contradict the false claim of their own that Victoria is a knight or Victoria is a knave.", "We have exhausted all possibilities for Michael, 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.", "Assume Michael is a knight. No contradiction is found in their claim that Victoria is a knight or Victoria is a knave.", "Assume Emma is a knight. No contradiction is found in their claim that If Liam is a knight then Liam is a knave.", "Liam cannot be a knight, because this would contradict the claim of Emma that If Liam is a knight then Liam is a knave.", "Assume Liam is a knave. No contradiction is found in their false claim that Michael is a knave.", "Assume Jackson 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), ('->', ('telling-truth', 4), ('lying', 4)), ('or', ('telling-truth', 0), ('lying', 0)), ('lying', 0), ('lying', 2))", "index": 26}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Amelia, Harper, Victoria, Zoey, and Lily. Amelia said that Harper is a knight and Harper is a knave. Harper told you that Zoey is not a knave. According to Victoria, \"If Amelia is a knave then Amelia is a knight\". Zoey stated, \"Amelia is a knave or Harper is a knight\". Lily stated, \"If Harper is a knave then Victoria is a knight\". So who is a knight and who is a knave?", "names": ["Amelia", "Harper", "Victoria", "Zoey", "Lily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true, true], "solution_text": "Amelia is a knave, Harper is a knight, Victoria is a knave, Zoey is a knight, and Lily is a knight.", "solution_text_format": "(1) Amelia is a knave\n(2) Harper is a knight\n(3) Victoria is a knave\n(4) Zoey is a knight\n(5) 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": ["Amelia cannot be a knight, because this would contradict the claim of their own that Harper is a knight and Harper is a knave.", "Assume Amelia 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 Zoey is not a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that Amelia is a knave or Harper is a knight.", "Victoria cannot be a knight, because this would contradict the claim of their own that If Amelia is a knave then Amelia is a knight.", "Assume Victoria is a knave. No contradiction is found in their false claim that If Amelia is a knave then Amelia is a knight.", "Assume Lily is a knight. No contradiction is found in their claim that If Harper is a knave then Victoria is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('lying', 1)), ('not', ('lying', 3)), ('->', ('lying', 0), ('telling-truth', 0)), ('or', ('lying', 0), ('telling-truth', 1)), ('->', ('lying', 1), ('telling-truth', 2)))", "index": 27}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Lily, Aurora, Mason, Daniel, and Owen. As Lily put it, \"Owen is a knight and Aurora is a knight\". In Aurora's words: \"Mason is a knave and Lily is a knight\". Mason commented, \"Daniel is a knave\". Daniel remarked, \"Lily is a knight if and only if Owen is a knave\". Owen said that Mason is a knight if and only if Daniel is a knight. So who is a knight and who is a knave?", "names": ["Lily", "Aurora", "Mason", "Daniel", "Owen"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false, false], "solution_text": "Lily is a knave, Aurora is a knave, Mason is a knight, Daniel is a knave, and Owen is a knave.", "solution_text_format": "(1) Lily is a knave\n(2) Aurora is a knave\n(3) Mason is a knight\n(4) Daniel is a knave\n(5) 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 Lily is a knight. No contradiction is found in their claim that Owen is a knight and Aurora is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that Mason is a knight if and only if Daniel is a knight.", "Assume Mason 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 Mason that Daniel is a knave.", "Daniel cannot be a knave, because this would contradict the claim of Owen that Mason 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 Mason.", "Assume Mason is a knave. No contradiction is found in their false claim that Daniel is a knave.", "Daniel cannot be a knight, because this would contradict the claim of their own that Lily is a knight if and only if Owen is a knave.", "Daniel cannot be a knave, because this would contradict the false claim of Mason that Daniel is a knave.", "We have exhausted all possibilities for Daniel and Mason, so let us go back and reconsider Owen.", "Owen cannot be a knave, because this would contradict the claim of Lily that Owen is a knight and Aurora is a knight.", "We have exhausted all possibilities for Owen, so let us go back and reconsider Lily.", "Assume Lily is a knave. No contradiction is found in their false claim that Owen is a knight and Aurora is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that Mason is a knight if and only if Daniel is a knight.", "Assume Mason 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 Mason that Daniel is a knave.", "Daniel cannot be a knave, because this would contradict the false claim of their own that Lily is a knight if and only if Owen is a knave.", "We have exhausted all possibilities for Daniel, so let us go back and reconsider Mason.", "Assume Mason is a knave. No contradiction is found in their false claim that Daniel is a knave.", "Daniel cannot be a knight, because this would contradict the claim of Owen that Mason is a knight if and only if Daniel is a knight.", "Daniel cannot be a knave, because this would contradict the false claim of Mason that Daniel is a knave.", "We have exhausted all possibilities for Daniel and Mason, so let us go back and reconsider Owen.", "Assume Owen is a knave. No contradiction is found in their false claim that Mason is a knight if and only if Daniel is a knight.", "Assume Mason 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 Mason that Daniel is a knave.", "Assume Daniel is a knave. No contradiction is found in their false claim that Lily is a knight if and only if Owen is a knave.", "Aurora cannot be a knight, because this would contradict the claim of their own that Mason is a knave and Lily is a knight.", "Assume Aurora is a knave. No contradiction is found in their false claim that Mason is a knave and Lily is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 4), ('telling-truth', 1)), ('and', ('lying', 2), ('telling-truth', 0)), ('lying', 3), ('<=>', ('telling-truth', 0), ('lying', 4)), ('<=>', ('telling-truth', 2), ('telling-truth', 3)))", "index": 28}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Logan, Harper, Matthew, Samuel, and Daniel. \"Harper is a knight and Matthew is a knave,\" Logan declared. Harper remarked, \"Matthew is a knight or Daniel is a knave\". Matthew told you that Samuel is a knight or Daniel is a knave. Samuel remarked, \"Logan is a knave if and only if Harper is a knave\". \"Logan is a knight and Matthew is a knave,\" Daniel claimed. So who is a knight and who is a knave?", "names": ["Logan", "Harper", "Matthew", "Samuel", "Daniel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false, false], "solution_text": "Logan is a knave, Harper is a knight, Matthew is a knight, Samuel is a knave, and Daniel is a knave.", "solution_text_format": "(1) Logan is a knave\n(2) Harper is a knight\n(3) Matthew is a knight\n(4) Samuel is a knave\n(5) 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 Logan is a knight. No contradiction is found in their claim that Harper is a knight and Matthew is a knave.", "Assume Harper is a knight. No contradiction is found in their claim that Matthew is a knight or Daniel is a knave.", "Matthew cannot be a knight, because this would contradict the claim of Logan that Harper is a knight and Matthew is a knave.", "Assume Matthew is a knave. No contradiction is found in their false claim that Samuel is a knight or Daniel is a knave.", "Samuel cannot be a knight, because this would contradict the false claim of Matthew that Samuel is a knight or Daniel is a knave.", "Samuel cannot be a knave, because this would contradict the false claim of their own that Logan is a knave if and only if Harper is a knave.", "We have exhausted all possibilities for Samuel and Matthew, so let us go back and reconsider Harper.", "Harper cannot be a knave, because this would contradict the claim of Logan that Harper is a knight and Matthew is a knave.", "We have exhausted all possibilities for Harper, so let us go back and reconsider Logan.", "Assume Logan is a knave. No contradiction is found in their false claim that Harper is a knight and Matthew is a knave.", "Assume Harper is a knight. No contradiction is found in their claim that Matthew is a knight or Daniel is a knave.", "Assume Matthew is a knight. No contradiction is found in their claim that Samuel is a knight or Daniel is a knave.", "Samuel cannot be a knight, because this would contradict the claim of their own that Logan is a knave if and only if Harper is a knave.", "Assume Samuel is a knave. No contradiction is found in their false claim that Logan is a knave if and only if Harper is a knave.", "Daniel cannot be a knight, because this would contradict the claim of Matthew that Samuel is a knight or Daniel is a knave.", "Assume Daniel is a knave. No contradiction is found in their false claim that Logan is a knight and Matthew is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('lying', 2)), ('or', ('telling-truth', 2), ('lying', 4)), ('or', ('telling-truth', 3), ('lying', 4)), ('<=>', ('lying', 0), ('lying', 1)), ('and', ('telling-truth', 0), ('lying', 2)))", "index": 29}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Penelope, David, Zoey, Luke, and Isabella. \"David is a knave or Zoey is a knave,\" Penelope declared. According to David, \"Zoey is a knight and Zoey is a knave\". \"Luke is a knave and Isabella is a knight,\" Zoey claimed. \"David is not a knight,\" Luke declared. As Isabella put it, \"Penelope is a knave if and only if Penelope is a knight\". So who is a knight and who is a knave?", "names": ["Penelope", "David", "Zoey", "Luke", "Isabella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, false], "solution_text": "Penelope is a knight, David is a knave, Zoey is a knave, Luke is a knight, and Isabella is a knave.", "solution_text_format": "(1) Penelope is a knight\n(2) David is a knave\n(3) Zoey is a knave\n(4) Luke is a knight\n(5) 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 Penelope is a knight. No contradiction is found in their claim that David is a knave or Zoey is a knave.", "David cannot be a knight, because this would contradict the claim of their own that Zoey is a knight and Zoey is a knave.", "Assume David is a knave. No contradiction is found in their false claim that Zoey is a knight and Zoey is a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that Luke is a knave and Isabella is a knight.", "Luke cannot be a knight, because this would contradict the claim of Zoey that Luke is a knave and Isabella is a knight.", "Luke cannot be a knave, because this would contradict the false claim of their own that David is not a knight.", "We have exhausted all possibilities for Luke, so let us go back and reconsider Zoey.", "Assume Zoey is a knave. No contradiction is found in their false claim that Luke is a knave and Isabella is a knight.", "Assume Luke is a knight. No contradiction is found in their claim that David is not a knight.", "Isabella cannot be a knight, because this would contradict the claim of their own that Penelope is a knave if and only if Penelope is a knight.", "Assume Isabella is a knave. No contradiction is found in their false claim that Penelope is a knave if and only if Penelope is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('lying', 2)), ('and', ('telling-truth', 2), ('lying', 2)), ('and', ('lying', 3), ('telling-truth', 4)), ('not', ('telling-truth', 1)), ('<=>', ('lying', 0), ('telling-truth', 0)))", "index": 30}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Emily, Harper, Abigail, Isabella, and Olivia. Emily asserted: \"Isabella is a knave if and only if Abigail is a knight\". Harper asserted: \"If Isabella is a knight then Harper is a knight\". Abigail was heard saying, \"Abigail is a knight if and only if Harper is a knave\". Isabella stated, \"Olivia is a knave\". Olivia said, \"Emily is not a knight.\" So who is a knight and who is a knave?", "names": ["Emily", "Harper", "Abigail", "Isabella", "Olivia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, false], "solution_text": "Emily is a knight, Harper is a knave, Abigail is a knave, Isabella is a knight, and Olivia is a knave.", "solution_text_format": "(1) Emily is a knight\n(2) Harper is a knave\n(3) Abigail is a knave\n(4) Isabella is a knight\n(5) 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 Emily is a knight. No contradiction is found in their claim that Isabella is a knave if and only if Abigail is a knight.", "Assume Isabella 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 Isabella that Olivia is a knave.", "Assume Olivia is a knave. No contradiction is found in their false claim that Emily is not a knight.", "Abigail cannot be a knight, because this would contradict the claim of Emily that Isabella is a knave if and only if Abigail is a knight.", "Assume Abigail is a knave. No contradiction is found in their false claim that Abigail is a knight if and only if Harper is a knave.", "Harper cannot be a knight, because this would contradict the false claim of Abigail that Abigail is a knight if and only if Harper is a knave.", "Assume Harper is a knave. No contradiction is found in their false claim that If Isabella is a knight then Harper is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 3), ('telling-truth', 2)), ('->', ('telling-truth', 3), ('telling-truth', 1)), ('<=>', ('telling-truth', 2), ('lying', 1)), ('lying', 4), ('not', ('telling-truth', 0)))", "index": 31}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Ella, Benjamin, Aiden, Grace, and Riley. Ella was heard saying, \"Grace is not a knight\". Benjamin asserted: \"Benjamin is a knight and Aiden is a knave\". Aiden told you that Ella is a knight or Ella is a knave. As Grace put it, \"If Riley is a knave then Aiden is a knave\". According to Riley, \"If Grace is a knight then Benjamin is a knave\". So who is a knight and who is a knave?", "names": ["Ella", "Benjamin", "Aiden", "Grace", "Riley"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true, true], "solution_text": "Ella is a knave, Benjamin is a knave, Aiden is a knight, Grace is a knight, and Riley is a knight.", "solution_text_format": "(1) Ella is a knave\n(2) Benjamin is a knave\n(3) Aiden is a knight\n(4) Grace is a knight\n(5) 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 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 If Riley is a knave then Aiden is a knave.", "Riley cannot be a knight, because this would contradict the false claim of Grace that If Riley is a knave then Aiden is a knave.", "Riley cannot be a knave, because this would contradict the false claim of their own that If Grace is a knight then Benjamin is a knave.", "We have exhausted all possibilities for Riley 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 If Riley is a knave then Aiden is a knave.", "Assume Riley is a knight. No contradiction is found in their claim that If Grace is a knight then Benjamin is a knave.", "Benjamin cannot be a knight, because this would contradict the claim of Riley that If Grace 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 and Aiden is a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that Ella is a knight or Ella is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 3)), ('and', ('telling-truth', 1), ('lying', 2)), ('or', ('telling-truth', 0), ('lying', 0)), ('->', ('lying', 4), ('lying', 2)), ('->', ('telling-truth', 3), ('lying', 1)))", "index": 32}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Emma, Olivia, Victoria, Alexander, and Avery. \"Olivia is a knave if and only if Victoria is a knave\" - Emma. Olivia told you that Avery is a knight and Emma is a knight. In a statement by Victoria: \"Victoria is a knight if and only if Alexander is a knave\". According to Alexander, \"Emma is a knave if and only if Olivia is a knight\". Avery expressed that Emma is a knave. So who is a knight and who is a knave?", "names": ["Emma", "Olivia", "Victoria", "Alexander", "Avery"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false, true], "solution_text": "Emma is a knave, Olivia is a knave, Victoria is a knight, Alexander is a knave, and Avery is a knight.", "solution_text_format": "(1) Emma is a knave\n(2) Olivia is a knave\n(3) Victoria is a knight\n(4) Alexander is a knave\n(5) 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 Olivia is a knave if and only if Victoria is a knave.", "Assume Olivia is a knight. No contradiction is found in their claim that Avery is a knight and Emma is a knight.", "Avery cannot be a knight, because this would contradict the claim of their own that Emma is a knave.", "Avery cannot be a knave, because this would contradict the claim of Olivia that Avery is a knight and Emma is a knight.", "We have exhausted all possibilities for Avery, so let us go back and reconsider Olivia.", "Assume Olivia is a knave. No contradiction is found in their false claim that Avery is a knight and Emma is a knight.", "Avery cannot be a knight, because this would contradict the false claim of Olivia that Avery is a knight and Emma is a knight.", "Assume Avery is a knave. No contradiction is found in their false claim that Emma is a knave.", "Victoria cannot be a knight, because this would contradict the claim of Emma that Olivia 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 Victoria is a knight if and only if Alexander is a knave.", "Alexander cannot be a knight, because this would contradict the false claim of Victoria that Victoria 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 Emma is a knave if and only if Olivia is a knight.", "We have exhausted all possibilities for Alexander, Victoria, Avery, and Olivia, so let us go back and reconsider Emma.", "Assume Emma is a knave. No contradiction is found in their false claim that Olivia is a knave if and only if Victoria is a knave.", "Olivia cannot be a knight, because this would contradict the claim of their own that Avery is a knight and Emma is a knight.", "Assume Olivia is a knave. No contradiction is found in their false claim that Avery is a knight and Emma is a knight.", "Assume Avery is a knight. No contradiction is found in their claim that Emma is a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that Victoria is a knight if and only if Alexander is a knave.", "Alexander cannot be a knight, because this would contradict the claim of Victoria that Victoria 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 Emma is a knave if and only if Olivia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('lying', 2)), ('and', ('telling-truth', 4), ('telling-truth', 0)), ('<=>', ('telling-truth', 2), ('lying', 3)), ('<=>', ('lying', 0), ('telling-truth', 1)), ('lying', 0))", "index": 33}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Isabella, Amelia, Victoria, Lily, and Scarlett. Isabella stated, \"Victoria is a knight\". Amelia said, \"Victoria is a knave if and only if Lily is a knight.\" Victoria told you that Victoria is a knight if and only if Isabella is a knave. Lily asserted: \"Scarlett is a knight if and only if Isabella is a knight\". Scarlett expressed that Isabella is a knave. So who is a knight and who is a knave?", "names": ["Isabella", "Amelia", "Victoria", "Lily", "Scarlett"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, false, true], "solution_text": "Isabella is a knave, Amelia is a knave, Victoria is a knave, Lily is a knave, and Scarlett is a knight.", "solution_text_format": "(1) Isabella is a knave\n(2) Amelia is a knave\n(3) Victoria is a knave\n(4) Lily is a knave\n(5) 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 Isabella is a knight. No contradiction is found in their claim that Victoria is a knight.", "Victoria cannot be a knight, because this would contradict the claim of their own that Victoria is a knight if and only if Isabella is a knave.", "Victoria cannot be a knave, because this would contradict the claim of Isabella that Victoria is a knight.", "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 a knight.", "Victoria cannot be a knight, because this would contradict the false claim of Isabella that Victoria 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 Isabella is a knave.", "Assume Amelia is a knight. No contradiction is found in their claim that Victoria is a knave if and only if Lily is a knight.", "Assume Lily is a knight. No contradiction is found in their claim that Scarlett is a knight if and only if Isabella is a knight.", "Scarlett cannot be a knight, because this would contradict the claim of Lily that Scarlett is a knight if and only if Isabella is a knight.", "Scarlett cannot be a knave, because this would contradict the false claim of their own that Isabella is a knave.", "We have exhausted all possibilities for Scarlett, so let us go back and reconsider Lily.", "Lily cannot be a knave, because this would contradict the claim of Amelia that Victoria is a knave if and only if Lily is a knight.", "We have exhausted all possibilities for Lily, 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 knave if and only if Lily is a knight.", "Lily cannot be a knight, because this would contradict the false claim of Amelia that Victoria is a knave if and only if Lily is a knight.", "Assume Lily is a knave. No contradiction is found in their false claim that Scarlett is a knight if and only if Isabella is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that Isabella is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 2), ('<=>', ('lying', 2), ('telling-truth', 3)), ('<=>', ('telling-truth', 2), ('lying', 0)), ('<=>', ('telling-truth', 4), ('telling-truth', 0)), ('lying', 0))", "index": 34}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Emily, Charlotte, Luke, Joseph, and Alexander. In Emily's words: \"Alexander is a knave or Luke is a knave\". Charlotte noted, \"Luke is a knave if and only if Emily is a knave\". In Luke's words: \"Emily is a knave if and only if Joseph is a knave\". Joseph expressed that If Alexander is a knave then Alexander is a knight. According to Alexander, \"Charlotte is a knight or Luke is a knight\". So who is a knight and who is a knave?", "names": ["Emily", "Charlotte", "Luke", "Joseph", "Alexander"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false, false], "solution_text": "Emily is a knight, Charlotte is a knave, Luke is a knave, Joseph is a knave, and Alexander is a knave.", "solution_text_format": "(1) Emily is a knight\n(2) Charlotte is a knave\n(3) Luke is a knave\n(4) Joseph is a knave\n(5) 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 Emily is a knight. No contradiction is found in their claim that Alexander is a knave or Luke is a knave.", "Assume Alexander is a knight. No contradiction is found in their claim that Charlotte is a knight or Luke is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that Luke is a knave if and only if Emily is a knave.", "Luke cannot be a knight, because this would contradict the claim of Emily that Alexander is a knave or Luke is a knave.", "Luke cannot be a knave, because this would contradict the claim of Charlotte that Luke is a knave if and only if Emily is a knave.", "We have exhausted all possibilities for Luke, so let us go back and reconsider Charlotte.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Luke is a knave if and only if Emily is a knave.", "Luke cannot be a knight, because this would contradict the claim of Emily that Alexander is a knave or Luke is a knave.", "Luke cannot be a knave, because this would contradict the claim of Alexander that Charlotte is a knight or Luke is a knight.", "We have exhausted all possibilities for Luke and Charlotte, so let us go back and reconsider Alexander.", "Assume Alexander is a knave. No contradiction is found in their false claim that Charlotte is a knight or Luke is a knight.", "Charlotte cannot be a knight, because this would contradict the false claim of Alexander that Charlotte is a knight or Luke is a knight.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Luke is a knave if and only if Emily is a knave.", "Luke cannot be a knight, because this would contradict the false claim of Charlotte that Luke is a knave if and only if Emily is a knave.", "Assume Luke is a knave. No contradiction is found in their false claim that Emily is a knave if and only if Joseph is a knave.", "Joseph cannot be a knight, because this would contradict the false claim of Luke that Emily is a knave if and only if Joseph is a knave.", "Assume Joseph is a knave. No contradiction is found in their false claim that If Alexander is a knave then Alexander is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 4), ('lying', 2)), ('<=>', ('lying', 2), ('lying', 0)), ('<=>', ('lying', 0), ('lying', 3)), ('->', ('lying', 4), ('telling-truth', 4)), ('or', ('telling-truth', 1), ('telling-truth', 2)))", "index": 35}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Luke, Abigail, Noah, Isabella, and Matthew. \"Matthew is a knight,\" Luke declared. Abigail was heard saying, \"Isabella is a knave if and only if Isabella is a knight\". Noah remarked, \"Abigail is not a knave\". Isabella commented, \"Abigail is not a knight\". Matthew expressed that If Luke is a knave then Isabella is a knight. So who is a knight and who is a knave?", "names": ["Luke", "Abigail", "Noah", "Isabella", "Matthew"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, true], "solution_text": "Luke is a knight, Abigail is a knave, Noah is a knave, Isabella is a knight, and Matthew is a knight.", "solution_text_format": "(1) Luke is a knight\n(2) Abigail is a knave\n(3) Noah is a knave\n(4) Isabella is a knight\n(5) 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 Luke 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 Luke is a knave then Isabella is a knight.", "Assume Isabella is a knight. No contradiction is found in their claim that Abigail is not a knight.", "Abigail cannot be a knight, because this would contradict the claim of their own that 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.", "Noah cannot be a knight, because this would contradict the claim of their own that Abigail is not a knave.", "Assume Noah is a knave. No contradiction is found in their false claim that Abigail is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 4), ('<=>', ('lying', 3), ('telling-truth', 3)), ('not', ('lying', 1)), ('not', ('telling-truth', 1)), ('->', ('lying', 0), ('telling-truth', 3)))", "index": 36}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Chloe, Ella, Logan, Henry, and Joseph. Chloe expressed that If Joseph is a knave then Logan is a knave. Ella asserted: \"Logan is a knave or Henry is a knight\". Logan said, \"Henry is a knight and Joseph is a knight.\" According to Henry, \"Ella is not a knave\". \"Chloe is a knave or Henry is a knave,\" Joseph declared. So who is a knight and who is a knave?", "names": ["Chloe", "Ella", "Logan", "Henry", "Joseph"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true, false], "solution_text": "Chloe is a knight, Ella is a knight, Logan is a knave, Henry is a knight, and Joseph is a knave.", "solution_text_format": "(1) Chloe is a knight\n(2) Ella is a knight\n(3) Logan is a knave\n(4) Henry is a knight\n(5) 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 Chloe is a knight. No contradiction is found in their claim that If Joseph is a knave then Logan is a knave.", "Assume Joseph is a knight. No contradiction is found in their claim that Chloe is a knave or Henry is a knave.", "Henry cannot be a knight, because this would contradict the claim of Joseph that Chloe is a knave or Henry is a knave.", "Assume Henry 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 Henry that Ella is not a knave.", "Assume Ella is a knave. No contradiction is found in their false claim that Logan is a knave or Henry is a knight.", "Logan cannot be a knight, because this would contradict the claim of their own that Henry is a knight and Joseph is a knight.", "Logan cannot be a knave, because this would contradict the false claim of Ella that Logan is a knave or Henry is a knight.", "We have exhausted all possibilities for Logan, Ella, and Henry, so let us go back and reconsider Joseph.", "Assume Joseph is a knave. No contradiction is found in their false claim that Chloe is a knave or Henry is a knave.", "Assume Henry is a knight. No contradiction is found in their claim that Ella is not a knave.", "Assume Ella is a knight. No contradiction is found in their claim that Logan is a knave or Henry is a knight.", "Logan cannot be a knight, because this would contradict the claim of Chloe that If Joseph is a knave then Logan is a knave.", "Assume Logan is a knave. No contradiction is found in their false claim that Henry is a knight and Joseph is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 4), ('lying', 2)), ('or', ('lying', 2), ('telling-truth', 3)), ('and', ('telling-truth', 3), ('telling-truth', 4)), ('not', ('lying', 1)), ('or', ('lying', 0), ('lying', 3)))", "index": 37}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Lucas, Elizabeth, Zoey, Aiden, and Daniel. Lucas said, \"Daniel is a knave if and only if Aiden is a knight.\" Elizabeth said, \"If Daniel is a knight then Aiden is a knight.\" Zoey was heard saying, \"Lucas is a knave and Lucas is a knight\". Aiden expressed that Zoey is not a knight. Daniel told you that Zoey is a knave. So who is a knight and who is a knave?", "names": ["Lucas", "Elizabeth", "Zoey", "Aiden", "Daniel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true, true], "solution_text": "Lucas is a knave, Elizabeth is a knight, Zoey is a knave, Aiden is a knight, and Daniel is a knight.", "solution_text_format": "(1) Lucas is a knave\n(2) Elizabeth is a knight\n(3) Zoey is a knave\n(4) Aiden is a knight\n(5) Daniel is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Lucas is a knight. No contradiction is found in their claim that Daniel is a knave if and only if Aiden is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that Zoey is a knave.", "Zoey cannot be a knight, because this would contradict the claim of their own that Lucas is a knave and Lucas is a knight.", "Assume Zoey is a knave. No contradiction is found in their false claim that Lucas is a knave and Lucas is a knight.", "Aiden cannot be a knight, because this would contradict the claim of Lucas that Daniel is a knave if and only if Aiden is a knight.", "Aiden cannot be a knave, because this would contradict the false claim of their own that Zoey is not a knight.", "We have exhausted all possibilities for Aiden and Zoey, so let us go back and reconsider Daniel.", "Assume Daniel is a knave. No contradiction is found in their false claim that Zoey is a knave.", "Zoey cannot be a knight, because this would contradict the claim of their own that Lucas is a knave and Lucas is a knight.", "Zoey cannot be a knave, because this would contradict the false claim of Daniel that Zoey is a knave.", "We have exhausted all possibilities for Zoey and Daniel, so let us go back and reconsider Lucas.", "Assume Lucas is a knave. No contradiction is found in their false claim that Daniel is a knave if and only if Aiden is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that Zoey is a knave.", "Zoey cannot be a knight, because this would contradict the claim of their own that Lucas is a knave and Lucas is a knight.", "Assume Zoey is a knave. No contradiction is found in their false claim that Lucas is a knave and Lucas is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that Zoey is not a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that If Daniel is a knight then Aiden is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 4), ('telling-truth', 3)), ('->', ('telling-truth', 4), ('telling-truth', 3)), ('and', ('lying', 0), ('telling-truth', 0)), ('not', ('telling-truth', 2)), ('lying', 2))", "index": 38}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Mia, Mason, Aiden, Matthew, and Jack. \"Matthew is a knave,\" Mia mentioned. Mason stated, \"Matthew is a knight and Mia is a knight\". Aiden stated, \"Mia is a knave\". Matthew noted, \"Jack is a knight\". In a statement by Jack: \"If Matthew is a knave then Mia is a knight\". So who is a knight and who is a knave?", "names": ["Mia", "Mason", "Aiden", "Matthew", "Jack"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true, true], "solution_text": "Mia is a knave, Mason is a knave, Aiden is a knight, Matthew is a knight, and Jack is a knight.", "solution_text_format": "(1) Mia is a knave\n(2) Mason is a knave\n(3) Aiden is a knight\n(4) Matthew is a knight\n(5) 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 Mia 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 Mia that Matthew is a knave.", "Assume Matthew 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 Matthew that Jack is a knight.", "Jack cannot be a knave, because this would contradict the false claim of their own that If Matthew is a knave then Mia is a knight.", "We have exhausted all possibilities for Jack and 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 knave.", "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 Mia is a knight.", "Mason cannot be a knight, because this would contradict the claim of their own that Matthew is a knight and Mia is a knight.", "Assume Mason is a knave. No contradiction is found in their false claim that Matthew is a knight and Mia is a knight.", "Assume Aiden 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', 3), ('and', ('telling-truth', 3), ('telling-truth', 0)), ('lying', 0), ('telling-truth', 4), ('->', ('lying', 3), ('telling-truth', 0)))", "index": 39}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Elizabeth, James, Mia, Michael, and Ethan. According to Elizabeth, \"James is a knave and Michael is a knave\". James was heard saying, \"James is a knight and Michael is a knave\". Mia stated, \"Michael is a knave and James is a knave\". In Michael's words: \"Ethan is a knave or James is a knave\". According to Ethan, \"Mia is not a knave\". So who is a knight and who is a knave?", "names": ["Elizabeth", "James", "Mia", "Michael", "Ethan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true, false], "solution_text": "Elizabeth is a knave, James is a knave, Mia is a knave, Michael is a knight, and Ethan is a knave.", "solution_text_format": "(1) Elizabeth is a knave\n(2) James is a knave\n(3) Mia is a knave\n(4) Michael is a knight\n(5) Ethan is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Elizabeth is a knight. No contradiction is found in their claim that James is a knave and Michael is a knave.", "James cannot be a knight, because this would contradict the claim of Elizabeth that James is a knave and Michael is a knave.", "Assume James is a knave. No contradiction is found in their false claim that James is a knight and Michael is a knave.", "Michael cannot be a knight, because this would contradict the claim of Elizabeth that James is a knave and Michael is a knave.", "Michael cannot be a knave, because this would contradict the false claim of their own that Ethan is a knave or James is a knave.", "We have exhausted all possibilities for Michael and James, so let us go back and reconsider Elizabeth.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that James is a knave and Michael is a knave.", "Assume James is a knight. No contradiction is found in their claim that James is a knight and Michael is a knave.", "Michael cannot be a knight, because this would contradict the claim of James that James is a knight and Michael is a knave.", "Assume Michael is a knave. No contradiction is found in their false claim that Ethan is a knave or James is a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that Mia is not a knave.", "Mia cannot be a knight, because this would contradict the claim of their own that Michael is a knave and James is a knave.", "Mia cannot be a knave, because this would contradict the claim of Ethan that Mia is not a knave.", "We have exhausted all possibilities for Mia, so let us go back and reconsider Ethan.", "Ethan cannot be a knave, because this would contradict the false claim of Michael that Ethan is a knave or James is a knave.", "We have exhausted all possibilities for Ethan and Michael, 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 Michael is a knave.", "Assume Michael is a knight. No contradiction is found in their claim that Ethan is a knave or James is a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that Mia is not a knave.", "Mia cannot be a knight, because this would contradict the claim of their own that Michael is a knave and James is a knave.", "Mia cannot be a knave, because this would contradict the claim of Ethan that Mia is not a knave.", "We have exhausted all possibilities for Mia, so let us go back and reconsider Ethan.", "Assume Ethan is a knave. No contradiction is found in their false claim that Mia is not a knave.", "Mia cannot be a knight, because this would contradict the claim of their own that Michael is a knave and James is a knave.", "Assume Mia is a knave. No contradiction is found in their false claim that Michael is a knave and James is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('lying', 3)), ('and', ('telling-truth', 1), ('lying', 3)), ('and', ('lying', 3), ('lying', 1)), ('or', ('lying', 4), ('lying', 1)), ('not', ('lying', 2)))", "index": 40}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Henry, Aurora, Joseph, Jackson, and Ava. In a statement by Henry: \"Aurora is a knave or Joseph is a knight\". Aurora told you that Henry is a knight or Henry is a knave. In Joseph's words: \"Jackson is not a knight\". Jackson noted, \"Aurora is not a knight\". Ava told you that Joseph is a knave or Jackson is a knight. So who is a knight and who is a knave?", "names": ["Henry", "Aurora", "Joseph", "Jackson", "Ava"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false, false], "solution_text": "Henry is a knight, Aurora is a knight, Joseph is a knight, Jackson is a knave, and Ava is a knave.", "solution_text_format": "(1) Henry is a knight\n(2) Aurora is a knight\n(3) Joseph is a knight\n(4) Jackson is a knave\n(5) 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 Henry is a knight. No contradiction is found in their claim that Aurora is a knave or Joseph is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that Henry is a knight or Henry is a knave.", "Assume Joseph 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 Joseph that Jackson is not a knight.", "Assume Jackson is a knave. No contradiction is found in their false claim that Aurora is not a knight.", "Ava cannot be a knight, because this would contradict the claim of their own that Joseph is a knave or Jackson is a knight.", "Assume Ava is a knave. No contradiction is found in their false claim that Joseph is a knave or Jackson is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('telling-truth', 2)), ('or', ('telling-truth', 0), ('lying', 0)), ('not', ('telling-truth', 3)), ('not', ('telling-truth', 1)), ('or', ('lying', 2), ('telling-truth', 3)))", "index": 41}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Daniel, Mason, Grace, Abigail, and Ava. In Daniel's words: \"Grace is not a knight\". Mason told you that Grace is a knave. In a statement by Grace: \"Grace is a knight if and only if Daniel is a knight\". Abigail stated, \"If Daniel is a knave then Ava is a knave\". Ava was heard saying, \"Abigail is not a knight\". So who is a knight and who is a knave?", "names": ["Daniel", "Mason", "Grace", "Abigail", "Ava"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true, false], "solution_text": "Daniel is a knight, Mason is a knight, Grace is a knave, Abigail is a knight, and Ava is a knave.", "solution_text_format": "(1) Daniel is a knight\n(2) Mason is a knight\n(3) Grace is a knave\n(4) Abigail is a knight\n(5) 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 Daniel is a knight. No contradiction is found in their claim that Grace is not a knight.", "Grace cannot be a knight, because this would contradict the claim of Daniel that Grace is not a knight.", "Assume Grace is a knave. No contradiction is found in their false claim that Grace is a knight if and only if Daniel is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that Grace is a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that If Daniel is a knave then Ava is a knave.", "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": "(('not', ('telling-truth', 2)), ('lying', 2), ('<=>', ('telling-truth', 2), ('telling-truth', 0)), ('->', ('lying', 0), ('lying', 4)), ('not', ('telling-truth', 3)))", "index": 42}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Grace, James, Evelyn, Victoria, and Charlotte. Grace commented, \"Victoria is a knave or Evelyn is a knight\". James stated, \"Evelyn is not a knight\". In a statement by Evelyn: \"Charlotte is a knave or Victoria is a knave\". In Victoria's words: \"Grace is a knight and Evelyn is a knave\". Charlotte commented, \"If Evelyn is a knave then Evelyn is a knight\". So who is a knight and who is a knave?", "names": ["Grace", "James", "Evelyn", "Victoria", "Charlotte"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false, true], "solution_text": "Grace is a knight, James is a knave, Evelyn is a knight, Victoria is a knave, and Charlotte is a knight.", "solution_text_format": "(1) Grace is a knight\n(2) James is a knave\n(3) Evelyn is a knight\n(4) Victoria is a knave\n(5) 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 Victoria is a knave or Evelyn is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that Grace is a knight and Evelyn is a knave.", "Evelyn cannot be a knight, because this would contradict the claim of Victoria that Grace is a knight and Evelyn is a knave.", "Evelyn cannot be a knave, because this would contradict the claim of Grace that Victoria is a knave or 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 Grace is a knight and Evelyn is a knave.", "Assume Evelyn is a knight. No contradiction is found in their claim that Charlotte is a knave or Victoria is a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that If Evelyn is a knave then Evelyn is a knight.", "James cannot be a knight, because this would contradict the claim of their own that Evelyn is not a knight.", "Assume James is a knave. No contradiction is found in their false claim that Evelyn is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 3), ('telling-truth', 2)), ('not', ('telling-truth', 2)), ('or', ('lying', 4), ('lying', 3)), ('and', ('telling-truth', 0), ('lying', 2)), ('->', ('lying', 2), ('telling-truth', 2)))", "index": 43}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aurora, Emma, Jacob, Scarlett, and Logan. Aurora told you that Logan is a knave. \"Scarlett is a knave\" - Emma. Jacob commented, \"Scarlett is a knave or Emma is a knave\". In a statement by Scarlett: \"Emma is a knave if and only if Aurora is a knave\". Logan asserted: \"Jacob is a knight and Scarlett is a knave\". So who is a knight and who is a knave?", "names": ["Aurora", "Emma", "Jacob", "Scarlett", "Logan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false, true], "solution_text": "Aurora is a knave, Emma is a knight, Jacob is a knight, Scarlett is a knave, and Logan is a knight.", "solution_text_format": "(1) Aurora is a knave\n(2) Emma is a knight\n(3) Jacob is a knight\n(4) Scarlett is a knave\n(5) 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 Aurora 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 Aurora that Logan is a knave.", "Assume Logan is a knave. No contradiction is found in their false claim that Jacob is a knight and Scarlett is a knave.", "Assume Jacob is a knight. No contradiction is found in their claim that Scarlett is a knave or Emma is a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that Emma is a knave if and only if Aurora is a knave.", "Emma cannot be a knight, because this would contradict the claim of their own that Scarlett is a knave.", "Emma cannot be a knave, because this would contradict the claim of Scarlett that Emma is a knave if and only if Aurora is a knave.", "We have exhausted all possibilities for Emma, so let us go back and reconsider Scarlett.", "Scarlett cannot be a knave, because this would contradict the false claim of Logan that Jacob is a knight and Scarlett is a knave.", "We have exhausted all possibilities for Scarlett, so let us go back and reconsider Jacob.", "Assume Jacob is a knave. No contradiction is found in their false claim that Scarlett is a knave or Emma is a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that Emma is a knave if and only if Aurora is a knave.", "Emma cannot be a knight, because this would contradict the claim of their own that Scarlett is a knave.", "Emma cannot be a knave, because this would contradict the false claim of Jacob that Scarlett is a knave or Emma is a knave.", "We have exhausted all possibilities for Emma, so let us go back and reconsider Scarlett.", "Scarlett cannot be a knave, because this would contradict the false claim of Jacob that Scarlett is a knave or Emma is a knave.", "We have exhausted all possibilities for Scarlett, Jacob, and Logan, so let us go back and reconsider Aurora.", "Assume Aurora is a knave. No contradiction is found in their false claim that Logan is a knave.", "Assume Logan is a knight. No contradiction is found in their claim that Jacob is a knight and Scarlett is a knave.", "Assume Jacob is a knight. No contradiction is found in their claim that Scarlett is a knave or Emma is a knave.", "Scarlett cannot be a knight, because this would contradict the claim of Logan that Jacob is a knight and Scarlett is a knave.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Emma is a knave if and only if Aurora is a knave.", "Assume Emma is a knight. No contradiction is found in their claim that Scarlett is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 4), ('lying', 3), ('or', ('lying', 3), ('lying', 1)), ('<=>', ('lying', 1), ('lying', 0)), ('and', ('telling-truth', 2), ('lying', 3)))", "index": 44}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Joseph, Sebastian, Ethan, Grace, and Luke. \"If Grace is a knave then Sebastian is a knight,\" Joseph claimed. In a statement by Sebastian: \"Ethan is not a knave\". Ethan asserted: \"Sebastian is a knight or Sebastian is a knave\". \"If Ethan is a knight then Joseph is a knight,\" Grace mentioned. Luke remarked, \"If Grace is a knight then Ethan is a knight\". So who is a knight and who is a knave?", "names": ["Joseph", "Sebastian", "Ethan", "Grace", "Luke"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, true], "solution_text": "Joseph is a knight, Sebastian is a knight, Ethan is a knight, Grace is a knight, and Luke is a knight.", "solution_text_format": "(1) Joseph is a knight\n(2) Sebastian is a knight\n(3) Ethan is a knight\n(4) Grace is a knight\n(5) Luke is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Joseph is a knight. No contradiction is found in their claim that If Grace is a knave then Sebastian is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that If Ethan is a knight then Joseph is a knight.", "Assume Ethan 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 Ethan is not a knave.", "Assume Luke is a knight. No contradiction is found in their claim that If Grace is a knight then Ethan is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 3), ('telling-truth', 1)), ('not', ('lying', 2)), ('or', ('telling-truth', 1), ('lying', 1)), ('->', ('telling-truth', 2), ('telling-truth', 0)), ('->', ('telling-truth', 3), ('telling-truth', 2)))", "index": 45}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Scarlett, Zoey, Luke, Riley, and Chloe. In Scarlett's words: \"Chloe is not a knave\". Zoey asserted: \"If Luke is a knave then Luke is a knight\". Luke commented, \"Zoey is a knave and Scarlett is a knave\". Riley said that Scarlett is a knave. \"Luke is a knave or Zoey is a knight,\" Chloe claimed. So who is a knight and who is a knave?", "names": ["Scarlett", "Zoey", "Luke", "Riley", "Chloe"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false, true], "solution_text": "Scarlett is a knight, Zoey is a knave, Luke is a knave, Riley is a knave, and Chloe is a knight.", "solution_text_format": "(1) Scarlett is a knight\n(2) Zoey is a knave\n(3) Luke is a knave\n(4) Riley is a knave\n(5) 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 Scarlett is a knight. No contradiction is found in their claim that Chloe is not a knave.", "Assume Chloe is a knight. No contradiction is found in their claim that Luke is a knave or Zoey is a knight.", "Luke cannot be a knight, because this would contradict the claim of their own that Zoey is a knave and Scarlett is a knave.", "Assume Luke is a knave. No contradiction is found in their false claim that Zoey is a knave and Scarlett is a knave.", "Zoey 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 Zoey is a knave. No contradiction is found in their false claim that If Luke is a knave then Luke is a knight.", "Riley cannot be a knight, because this would contradict the claim of their own that Scarlett is a knave.", "Assume Riley is a knave. No contradiction is found in their false claim that Scarlett is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 4)), ('->', ('lying', 2), ('telling-truth', 2)), ('and', ('lying', 1), ('lying', 0)), ('lying', 0), ('or', ('lying', 2), ('telling-truth', 1)))", "index": 46}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Grace, Noah, Benjamin, Riley, and Luke. Grace expressed that Riley is a knave if and only if Luke is a knave. Noah asserted: \"Riley is a knight if and only if Riley is a knave\". Benjamin expressed that Riley is a knave and Luke is a knave. Riley expressed that Noah is a knight and Luke is a knave. \"Grace is a knight if and only if Benjamin is a knight,\" Luke claimed. So who is a knight and who is a knave?", "names": ["Grace", "Noah", "Benjamin", "Riley", "Luke"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, false, true], "solution_text": "Grace is a knave, Noah is a knave, Benjamin is a knave, Riley is a knave, and Luke is a knight.", "solution_text_format": "(1) Grace is a knave\n(2) Noah is a knave\n(3) Benjamin is a knave\n(4) Riley is a knave\n(5) 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 Grace is a knight. No contradiction is found in their claim that Riley is a knave if and only if Luke is a knave.", "Assume Riley is a knight. No contradiction is found in their claim that Noah is a knight and Luke is a knave.", "Noah cannot be a knight, because this would contradict the claim of their own that Riley is a knight if and only if Riley is a knave.", "Noah cannot be a knave, because this would contradict the claim of Riley that Noah is a knight and Luke is a knave.", "We have exhausted all possibilities for Noah, so let us go back and reconsider Riley.", "Assume Riley is a knave. No contradiction is found in their false claim that Noah is a knight and Luke is a knave.", "Noah cannot be a knight, because this would contradict the claim of their own that Riley is a knight if and only if Riley is a knave.", "Assume Noah is a knave. No contradiction is found in their false claim that Riley is a knight if and only if Riley is a knave.", "Luke cannot be a knight, because this would contradict the claim of Grace that Riley 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 Grace is a knight if and only if Benjamin is a knight.", "Benjamin cannot be a knight, because this would contradict the false claim of Luke that Grace 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 Riley is a knave and Luke is a knave.", "We have exhausted all possibilities for Benjamin, Luke, Noah, and Riley, so let us go back and reconsider Grace.", "Assume Grace is a knave. No contradiction is found in their false claim that Riley is a knave if and only if Luke is a knave.", "Assume Riley is a knight. No contradiction is found in their claim that Noah is a knight and Luke is a knave.", "Noah cannot be a knight, because this would contradict the claim of their own that Riley is a knight if and only if Riley is a knave.", "Noah cannot be a knave, because this would contradict the claim of Riley that Noah is a knight and Luke is a knave.", "We have exhausted all possibilities for Noah, so let us go back and reconsider Riley.", "Assume Riley is a knave. No contradiction is found in their false claim that Noah is a knight and Luke is a knave.", "Noah cannot be a knight, because this would contradict the claim of their own that Riley is a knight if and only if Riley is a knave.", "Assume Noah is a knave. No contradiction is found in their false claim that Riley is a knight if and only if Riley is a knave.", "Assume Luke is a knight. No contradiction is found in their claim that Grace is a knight if and only if Benjamin is a knight.", "Benjamin cannot be a knight, because this would contradict the claim of their own that Riley is a knave and Luke is a knave.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Riley is a knave and Luke is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 3), ('lying', 4)), ('<=>', ('telling-truth', 3), ('lying', 3)), ('and', ('lying', 3), ('lying', 4)), ('and', ('telling-truth', 1), ('lying', 4)), ('<=>', ('telling-truth', 0), ('telling-truth', 2)))", "index": 47}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Henry, Aiden, Alexander, Evelyn, and Oliver. \"Evelyn is a knave or Aiden is a knave,\" Henry claimed. Aiden remarked, \"If Aiden is a knight then Henry is a knave\". According to Alexander, \"Aiden is a knave and Aiden is a knight\". Evelyn expressed that Oliver is a knave or Henry is a knight. \"If Aiden is a knight then Alexander is a knight\" - Oliver. So who is a knight and who is a knave?", "names": ["Henry", "Aiden", "Alexander", "Evelyn", "Oliver"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true, false], "solution_text": "Henry is a knave, Aiden is a knight, Alexander is a knave, Evelyn is a knight, and Oliver is a knave.", "solution_text_format": "(1) Henry is a knave\n(2) Aiden is a knight\n(3) Alexander is a knave\n(4) Evelyn is a knight\n(5) Oliver is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Henry is a knight. No contradiction is found in their claim that Evelyn is a knave or Aiden is a knave.", "Assume Evelyn is a knight. No contradiction is found in their claim that Oliver is a knave or Henry is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that If Aiden is a knight then Alexander is a knight.", "Aiden cannot be a knight, because this would contradict the claim of Henry that Evelyn is a knave or Aiden is a knave.", "Aiden cannot be a knave, because this would contradict the false claim of their own that If Aiden is a knight then Henry is a knave.", "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 If Aiden is a knight then Alexander is a knight.", "Aiden cannot be a knight, because this would contradict the claim of Henry that Evelyn is a knave or Aiden is a knave.", "Aiden cannot be a knave, because this would contradict the false claim of their own that If Aiden is a knight then Henry is a knave.", "We have exhausted all possibilities for Aiden and Oliver, so let us go back and reconsider Evelyn.", "Evelyn cannot be a knave, because this would contradict the false claim of their own that Oliver is a knave or Henry is a knight.", "We have exhausted all possibilities for Evelyn, so let us go back and reconsider Henry.", "Assume Henry is a knave. No contradiction is found in their false claim that Evelyn is a knave or Aiden is a knave.", "Assume Evelyn is a knight. No contradiction is found in their claim that Oliver is a knave or Henry is a knight.", "Oliver cannot be a knight, because this would contradict the claim of Evelyn that Oliver is a knave or Henry is a knight.", "Assume Oliver is a knave. No contradiction is found in their false claim that If Aiden is a knight then Alexander is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that If Aiden is a knight then Henry is a knave.", "Alexander cannot be a knight, because this would contradict the claim of their own that Aiden is a knave and Aiden is a knight.", "Assume Alexander is a knave. No contradiction is found in their false claim that Aiden is a knave and Aiden is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 3), ('lying', 1)), ('->', ('telling-truth', 1), ('lying', 0)), ('and', ('lying', 1), ('telling-truth', 1)), ('or', ('lying', 4), ('telling-truth', 0)), ('->', ('telling-truth', 1), ('telling-truth', 2)))", "index": 48}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Logan, Lucas, Chloe, Mia, and Riley. As Logan put it, \"Mia is a knave and Mia is a knight\". Lucas asserted: \"Logan is not a knave\". In a statement by Chloe: \"Mia is a knave or Mia is a knight\". Mia told you that Logan is a knight. In Riley's words: \"Lucas is a knight\". So who is a knight and who is a knave?", "names": ["Logan", "Lucas", "Chloe", "Mia", "Riley"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false, false], "solution_text": "Logan is a knave, Lucas is a knave, Chloe is a knight, Mia is a knave, and Riley is a knave.", "solution_text_format": "(1) Logan is a knave\n(2) Lucas is a knave\n(3) Chloe is a knight\n(4) Mia is a knave\n(5) 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": ["Logan cannot be a knight, because this would contradict the claim of their own that Mia is a knave and Mia is a knight.", "Assume Logan 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 Logan is a knight.", "Assume Mia is a knave. No contradiction is found in their false claim that Logan is a knight.", "Lucas cannot be a knight, because this would contradict the claim of their own that Logan is not a knave.", "Assume Lucas is a knave. No contradiction is found in their false claim that Logan is not a knave.", "Assume Chloe is a knight. No contradiction is found in their claim that Mia is a knave or Mia is a knight.", "Riley cannot be a knight, because this would contradict the claim of their own that Lucas is a knight.", "Assume Riley 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": "(('and', ('lying', 3), ('telling-truth', 3)), ('not', ('lying', 0)), ('or', ('lying', 3), ('telling-truth', 3)), ('telling-truth', 0), ('telling-truth', 1))", "index": 49}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Penelope, James, Sophia, Benjamin, and Mia. \"Benjamin is not a knave,\" Penelope declared. James told you that Sophia is a knave and Sophia is a knight. \"If Mia is a knight then James is a knave\" - Sophia. Benjamin noted, \"Sophia is not a knight\". Mia told you that Benjamin is a knave and Penelope is a knight. So who is a knight and who is a knave?", "names": ["Penelope", "James", "Sophia", "Benjamin", "Mia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false, false], "solution_text": "Penelope is a knave, James is a knave, Sophia is a knight, Benjamin is a knave, and Mia is a knave.", "solution_text_format": "(1) Penelope is a knave\n(2) James is a knave\n(3) Sophia is a knight\n(4) Benjamin is a knave\n(5) 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 Penelope 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 Sophia is not a knight.", "Sophia cannot be a knight, because this would contradict the claim of Benjamin that Sophia is not a knight.", "Assume Sophia is a knave. No contradiction is found in their false claim that If Mia is a knight then James is a knave.", "Mia cannot be a knight, because this would contradict the claim of their own that Benjamin is a knave and Penelope is a knight.", "Mia cannot be a knave, because this would contradict the false claim of Sophia that If Mia is a knight then James is a knave.", "We have exhausted all possibilities for Mia and Sophia, so let us go back and reconsider Benjamin.", "Benjamin cannot be a knave, because this would contradict the claim of Penelope that Benjamin is not a knave.", "We have exhausted all possibilities for Benjamin, so let us go back and reconsider Penelope.", "Assume Penelope 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 Penelope that Benjamin is not a knave.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Sophia is not a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that If Mia is a knight then James is a knave.", "Mia cannot be a knight, because this would contradict the claim of their own that Benjamin is a knave and Penelope is a knight.", "Assume Mia is a knave. No contradiction is found in their false claim that Benjamin is a knave and Penelope is a knight.", "James cannot be a knight, because this would contradict the claim of their own that Sophia is a knave and Sophia is a knight.", "Assume James is a knave. No contradiction is found in their false claim that Sophia is a knave and Sophia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 3)), ('and', ('lying', 2), ('telling-truth', 2)), ('->', ('telling-truth', 4), ('lying', 1)), ('not', ('telling-truth', 2)), ('and', ('lying', 3), ('telling-truth', 0)))", "index": 50}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Jacob, Lily, Liam, Charlotte, and Noah. \"If Charlotte is a knight then Lily is a knave\" - Jacob. In Lily's words: \"Charlotte is a knave\". Liam said that Noah is a knave. \"Jacob is not a knight,\" Charlotte mentioned. In Noah's words: \"Jacob is a knight or Jacob is a knave\". So who is a knight and who is a knave?", "names": ["Jacob", "Lily", "Liam", "Charlotte", "Noah"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false, true], "solution_text": "Jacob is a knight, Lily is a knight, Liam is a knave, Charlotte is a knave, and Noah is a knight.", "solution_text_format": "(1) Jacob is a knight\n(2) Lily is a knight\n(3) Liam is a knave\n(4) Charlotte is a knave\n(5) 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 Jacob is a knight. No contradiction is found in their claim that If Charlotte is a knight then Lily is a knave.", "Charlotte cannot be a knight, because this would contradict the claim of their own that Jacob is not a knight.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Jacob is not a knight.", "Assume Lily is a knight. No contradiction is found in their claim that Charlotte is a knave.", "Assume Liam is a knight. No contradiction is found in their claim that Noah is a knave.", "Noah cannot be a knight, because this would contradict the claim of Liam that Noah is a knave.", "Noah cannot be a knave, because this would contradict the false claim of their own that Jacob is a knight or Jacob is a knave.", "We have exhausted all possibilities for Noah, so let us go back and reconsider Liam.", "Assume Liam is a knave. No contradiction is found in their false claim that Noah is a knave.", "Assume Noah is a knight. No contradiction is found in their claim that Jacob is a knight or Jacob is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 3), ('lying', 1)), ('lying', 3), ('lying', 4), ('not', ('telling-truth', 0)), ('or', ('telling-truth', 0), ('lying', 0)))", "index": 51}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Jackson, Noah, Aiden, Sophia, and Daniel. Jackson expressed that Sophia is a knave and Aiden is a knave. \"If Daniel is a knave then Noah is a knight,\" Noah claimed. In a statement by Aiden: \"Jackson is not a knight\". As Sophia put it, \"Daniel is a knave or Jackson is a knight\". Daniel told you that Noah is a knave and Aiden is a knight. So who is a knight and who is a knave?", "names": ["Jackson", "Noah", "Aiden", "Sophia", "Daniel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, false], "solution_text": "Jackson is a knave, Noah is a knight, Aiden is a knight, Sophia is a knight, and Daniel is a knave.", "solution_text_format": "(1) Jackson is a knave\n(2) Noah is a knight\n(3) Aiden is a knight\n(4) Sophia is a knight\n(5) 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 Jackson is a knight. No contradiction is found in their claim that Sophia is a knave and Aiden is a knave.", "Sophia cannot be a knight, because this would contradict the claim of Jackson that Sophia is a knave and Aiden is a knave.", "Sophia cannot be a knave, because this would contradict the false claim of their own that Daniel is a knave or Jackson is a knight.", "We have exhausted all possibilities for Sophia, so let us go back and reconsider Jackson.", "Assume Jackson is a knave. No contradiction is found in their false claim that Sophia is a knave and Aiden is a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that Daniel is a knave or Jackson is a knight.", "Daniel cannot be a knight, because this would contradict the claim of Sophia that Daniel is a knave or Jackson is a knight.", "Assume Daniel is a knave. No contradiction is found in their false claim that Noah is a knave and Aiden is a knight.", "Assume Noah is a knight. No contradiction is found in their claim that If Daniel is a knave then Noah is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that Jackson is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 3), ('lying', 2)), ('->', ('lying', 4), ('telling-truth', 1)), ('not', ('telling-truth', 0)), ('or', ('lying', 4), ('telling-truth', 0)), ('and', ('lying', 1), ('telling-truth', 2)))", "index": 52}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Chloe, Jackson, Isabella, Elizabeth, and Liam. Chloe remarked, \"Isabella is a knave and Liam is a knight\". \"Chloe is a knave if and only if Isabella is a knave,\" Jackson claimed. Isabella stated, \"If Jackson is a knight then Jackson is a knave\". Elizabeth expressed that Isabella is a knight if and only if Jackson is a knight. In a statement by Liam: \"Jackson is a knight or Isabella is a knight\". So who is a knight and who is a knave?", "names": ["Chloe", "Jackson", "Isabella", "Elizabeth", "Liam"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false, true], "solution_text": "Chloe is a knave, Jackson is a knave, Isabella is a knight, Elizabeth is a knave, and Liam is a knight.", "solution_text_format": "(1) Chloe is a knave\n(2) Jackson is a knave\n(3) Isabella is a knight\n(4) Elizabeth is a knave\n(5) 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 Chloe 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 Chloe that Isabella is a knave and Liam is a knight.", "Assume Isabella is a knave. No contradiction is found in their false claim that If Jackson is a knight then Jackson is a knave.", "Jackson cannot be a knight, because this would contradict the claim of their own that Chloe is a knave if and only if Isabella is a knave.", "Jackson cannot be a knave, because this would contradict the false claim of Isabella that If Jackson is a knight then Jackson is a knave.", "We have exhausted all possibilities for Jackson and Isabella, so let us go back and reconsider Chloe.", "Assume Chloe 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 If Jackson is a knight then Jackson is a knave.", "Jackson cannot be a knight, because this would contradict the claim of their own that Chloe is a knave if and only if Isabella is a knave.", "Assume Jackson is a knave. No contradiction is found in their false claim that Chloe is a knave if and only if Isabella is a knave.", "Assume Liam is a knight. No contradiction is found in their claim that Jackson is a knight or Isabella is a knight.", "Elizabeth cannot be a knight, because this would contradict the claim of their own that Isabella is a knight if and only if Jackson is a knight.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Isabella is a knight if and only if Jackson is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('telling-truth', 4)), ('<=>', ('lying', 0), ('lying', 2)), ('->', ('telling-truth', 1), ('lying', 1)), ('<=>', ('telling-truth', 2), ('telling-truth', 1)), ('or', ('telling-truth', 1), ('telling-truth', 2)))", "index": 53}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Penelope, Liam, Henry, Sophia, and Avery. Penelope stated, \"If Henry is a knight then Henry is a knave\". Liam noted, \"Henry is a knight and Penelope is a knight\". Henry was heard saying, \"Penelope is a knight if and only if Henry is a knight\". According to Sophia, \"Liam is a knave if and only if Liam is a knight\". Avery remarked, \"If Penelope is a knave then Sophia is a knave\". So who is a knight and who is a knave?", "names": ["Penelope", "Liam", "Henry", "Sophia", "Avery"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false, true], "solution_text": "Penelope is a knight, Liam is a knave, Henry is a knave, Sophia is a knave, and Avery is a knight.", "solution_text_format": "(1) Penelope is a knight\n(2) Liam is a knave\n(3) Henry is a knave\n(4) Sophia is a knave\n(5) 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 Penelope is a knight. No contradiction is found in their claim that If Henry is a knight then Henry is a knave.", "Henry cannot be a knight, because this would contradict the claim of Penelope that If Henry is a knight then Henry is a knave.", "Assume Henry is a knave. No contradiction is found in their false claim that Penelope is a knight if and only if Henry is a knight.", "Liam cannot be a knight, because this would contradict the claim of their own that Henry is a knight and Penelope is a knight.", "Assume Liam is a knave. No contradiction is found in their false claim that Henry is a knight and Penelope is a knight.", "Sophia 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 Sophia 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 Avery is a knight. No contradiction is found in their claim that If Penelope is a knave then Sophia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 2), ('lying', 2)), ('and', ('telling-truth', 2), ('telling-truth', 0)), ('<=>', ('telling-truth', 0), ('telling-truth', 2)), ('<=>', ('lying', 1), ('telling-truth', 1)), ('->', ('lying', 0), ('lying', 3)))", "index": 54}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Olivia, Victoria, Mason, Lily, and Abigail. Olivia said that Lily is a knight and Abigail is a knight. \"Abigail is a knave if and only if Lily is a knave\" - Victoria. Mason noted, \"If Olivia is a knave then Victoria is a knave\". Lily expressed that Abigail is not a knight. Abigail commented, \"Olivia is a knight or Victoria is a knight\". So who is a knight and who is a knave?", "names": ["Olivia", "Victoria", "Mason", "Lily", "Abigail"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true, false], "solution_text": "Olivia is a knave, Victoria is a knave, Mason is a knight, Lily is a knight, and Abigail is a knave.", "solution_text_format": "(1) Olivia is a knave\n(2) Victoria is a knave\n(3) Mason is a knight\n(4) Lily is a knight\n(5) 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 Olivia is a knight. No contradiction is found in their claim that Lily is a knight and Abigail is a knight.", "Assume Lily 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 Lily that Abigail is not a knight.", "Abigail cannot be a knave, because this would contradict the claim of Olivia that Lily is a knight and Abigail 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 Olivia that Lily is a knight and Abigail is a knight.", "We have exhausted all possibilities for Lily, so let us go back and reconsider Olivia.", "Assume Olivia is a knave. No contradiction is found in their false claim that Lily is a knight and Abigail is a knight.", "Assume Lily 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 false claim of Olivia that Lily is a knight and Abigail is a knight.", "Assume Abigail is a knave. No contradiction is found in their false claim that Olivia is a knight or Victoria is a knight.", "Victoria cannot be a knight, because this would contradict the claim of their own that Abigail is a knave if and only if Lily is a knave.", "Assume Victoria is a knave. No contradiction is found in their false claim that Abigail is a knave if and only if Lily is a knave.", "Assume Mason is a knight. No contradiction is found in their claim that If Olivia is a knave then Victoria is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 3), ('telling-truth', 4)), ('<=>', ('lying', 4), ('lying', 3)), ('->', ('lying', 0), ('lying', 1)), ('not', ('telling-truth', 4)), ('or', ('telling-truth', 0), ('telling-truth', 1)))", "index": 55}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Oliver, Logan, Ella, Isabella, and Daniel. In a statement by Oliver: \"If Oliver is a knight then Daniel is a knight\". As Logan put it, \"Logan is a knight\". Ella noted, \"Isabella is not a knave\". Isabella told you that If Oliver is a knight then Logan is a knight. \"Ella is not a knave,\" Daniel claimed. So who is a knight and who is a knave?", "names": ["Oliver", "Logan", "Ella", "Isabella", "Daniel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, true], "solution_text": "Oliver is a knight, Logan is a knight, Ella is a knight, Isabella is a knight, and Daniel is a knight.", "solution_text_format": "(1) Oliver is a knight\n(2) Logan is a knight\n(3) Ella is a knight\n(4) Isabella is a knight\n(5) 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 Ella is not a knave.", "Assume Ella 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 Oliver 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."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 0), ('telling-truth', 4)), ('telling-truth', 1), ('not', ('lying', 3)), ('->', ('telling-truth', 0), ('telling-truth', 1)), ('not', ('lying', 2)))", "index": 56}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Benjamin, Penelope, David, James, and Avery. As Benjamin put it, \"If Avery is a knave then Benjamin is a knight\". Penelope said that Benjamin is a knight and David is a knight. David was heard saying, \"Benjamin is not a knight\". \"If Penelope is a knave then Avery is a knave,\" James claimed. \"Benjamin is not a knight,\" Avery claimed. So who is a knight and who is a knave?", "names": ["Benjamin", "Penelope", "David", "James", "Avery"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, false], "solution_text": "Benjamin is a knight, Penelope is a knave, David is a knave, James is a knight, and Avery is a knave.", "solution_text_format": "(1) Benjamin is a knight\n(2) Penelope is a knave\n(3) David is a knave\n(4) James is a knight\n(5) 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 Benjamin is a knight. No contradiction is found in their claim that If Avery is a knave then Benjamin is a knight.", "Avery cannot be a knight, because this would contradict the claim of their own that Benjamin is not a knight.", "Assume Avery is a knave. No contradiction is found in their false claim that Benjamin is not a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that Benjamin is a knight and David is a knight.", "David cannot be a knight, because this would contradict the claim of their own that Benjamin is not a knight.", "David cannot be a knave, because this would contradict the claim of Penelope that Benjamin is a knight and David is a knight.", "We have exhausted all possibilities for David, so let us go back and reconsider Penelope.", "Assume Penelope is a knave. No contradiction is found in their false claim that Benjamin is a knight and David is a knight.", "David cannot be a knight, because this would contradict the false claim of Penelope that Benjamin is a knight and David is a knight.", "Assume David is a knave. No contradiction is found in their false claim that Benjamin is not a knight.", "Assume James is a knight. No contradiction is found in their claim that If Penelope is a knave then Avery is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 4), ('telling-truth', 0)), ('and', ('telling-truth', 0), ('telling-truth', 2)), ('not', ('telling-truth', 0)), ('->', ('lying', 1), ('lying', 4)), ('not', ('telling-truth', 0)))", "index": 57}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: William, Ella, Grace, Owen, and Olivia. William said, \"Owen is a knave if and only if Ella is a knight.\" Ella asserted: \"If Owen is a knave then Grace is a knave\". \"Ella is a knight or Owen is a knave,\" Grace claimed. Owen said that Olivia is a knight or William is a knight. \"Olivia is a knight or Ella is a knave,\" Olivia claimed. So who is a knight and who is a knave?", "names": ["William", "Ella", "Grace", "Owen", "Olivia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, true], "solution_text": "William is a knave, Ella is a knight, Grace is a knight, Owen is a knight, and Olivia is a knight.", "solution_text_format": "(1) William is a knave\n(2) Ella is a knight\n(3) Grace is a knight\n(4) Owen is a knight\n(5) 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 William is a knight. No contradiction is found in their claim that Owen is a knave if and only if Ella is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that Olivia is a knight or William is a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that Olivia is a knight or Ella is a knave.", "Ella cannot be a knight, because this would contradict the claim of William that Owen is a knave if and only if Ella is a knight.", "Ella cannot be a knave, because this would contradict the false claim of their own that If Owen is a knave then Grace is a knave.", "We have exhausted all possibilities for Ella, 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 Ella is a knave.", "Ella cannot be a knight, because this would contradict the claim of William that Owen is a knave if and only if Ella is a knight.", "Ella cannot be a knave, because this would contradict the false claim of their own that If Owen is a knave then Grace is a knave.", "We have exhausted all possibilities for Ella and Olivia, so let us go back and reconsider Owen.", "Owen cannot be a knave, because this would contradict the false claim of their own that Olivia is a knight or William is a knight.", "We have exhausted all possibilities for Owen, so let us go back and reconsider William.", "Assume William is a knave. No contradiction is found in their false claim that Owen is a knave if and only if Ella is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that Olivia is a knight or William is a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that Olivia is a knight or Ella is a knave.", "Assume Ella is a knight. No contradiction is found in their claim that If Owen is a knave then Grace is a knave.", "Assume Grace is a knight. No contradiction is found in their claim that Ella is a knight or Owen is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 3), ('telling-truth', 1)), ('->', ('lying', 3), ('lying', 2)), ('or', ('telling-truth', 1), ('lying', 3)), ('or', ('telling-truth', 4), ('telling-truth', 0)), ('or', ('telling-truth', 4), ('lying', 1)))", "index": 58}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: David, Isabella, Evelyn, James, and Luke. David said that James is a knave. According to Isabella, \"If David is a knave then Luke is a knight\". According to Evelyn, \"Luke is a knight and Isabella is a knave\". In a statement by James: \"Evelyn is not a knave\". Luke was heard saying, \"Isabella is a knight and David is a knave\". So who is a knight and who is a knave?", "names": ["David", "Isabella", "Evelyn", "James", "Luke"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false, false], "solution_text": "David is a knight, Isabella is a knight, Evelyn is a knave, James is a knave, and Luke is a knave.", "solution_text_format": "(1) David is a knight\n(2) Isabella is a knight\n(3) Evelyn is a knave\n(4) James is a knave\n(5) 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 David 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 David that James is a knave.", "Assume James 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 James that Evelyn is not a knave.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Luke is a knight and Isabella is a knave.", "Luke cannot be a knight, because this would contradict the claim of their own that Isabella is a knight and David is a knave.", "Assume Luke is a knave. No contradiction is found in their false claim that Isabella is a knight and David is a knave.", "Assume Isabella is a knight. No contradiction is found in their claim that If David is a knave then Luke is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 3), ('->', ('lying', 0), ('telling-truth', 4)), ('and', ('telling-truth', 4), ('lying', 1)), ('not', ('lying', 2)), ('and', ('telling-truth', 1), ('lying', 0)))", "index": 59}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Jackson, Mason, Scarlett, Lucas, and Emma. According to Jackson, \"Mason is not a knight\". \"Scarlett is a knight if and only if Mason is a knight,\" Mason declared. Scarlett said, \"Mason is not a knight.\" \"Jackson is a knight,\" Lucas claimed. In a statement by Emma: \"Emma is a knight or Lucas is a knight\". So who is a knight and who is a knave?", "names": ["Jackson", "Mason", "Scarlett", "Lucas", "Emma"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, true], "solution_text": "Jackson is a knight, Mason is a knave, Scarlett is a knight, Lucas is a knight, and Emma is a knight.", "solution_text_format": "(1) Jackson is a knight\n(2) Mason is a knave\n(3) Scarlett is a knight\n(4) Lucas is a knight\n(5) 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 Jackson 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 Jackson that Mason is not a knight.", "Assume Mason is a knave. No contradiction is found in their false claim that Scarlett is a knight if and only if Mason is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that Mason is not a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that Jackson is a knight.", "Assume Emma is a knight. No contradiction is found in their claim that Emma is a knight or Lucas is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('<=>', ('telling-truth', 2), ('telling-truth', 1)), ('not', ('telling-truth', 1)), ('telling-truth', 0), ('or', ('telling-truth', 4), ('telling-truth', 3)))", "index": 60}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Grace, Daniel, Ethan, Sofia, and Charlotte. \"If Ethan is a knave then Ethan is a knight,\" Grace mentioned. In a statement by Daniel: \"Ethan is not a knight\". Ethan was heard saying, \"Grace is a knave or Daniel is a knave\". Sofia said that Grace is a knight. Charlotte expressed that Ethan is not a knave. So who is a knight and who is a knave?", "names": ["Grace", "Daniel", "Ethan", "Sofia", "Charlotte"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, true], "solution_text": "Grace is a knight, Daniel is a knave, Ethan is a knight, Sofia is a knight, and Charlotte is a knight.", "solution_text_format": "(1) Grace is a knight\n(2) Daniel is a knave\n(3) Ethan is a knight\n(4) Sofia is a knight\n(5) 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 If Ethan is a knave then Ethan is a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that Grace is a knave or Daniel is a knave.", "Daniel cannot be a knight, because this would contradict the claim of their own that Ethan is not a knight.", "Assume Daniel is a knave. No contradiction is found in their false claim that Ethan is not a knight.", "Assume Sofia is a knight. No contradiction is found in their claim that Grace is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that Ethan is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 2), ('telling-truth', 2)), ('not', ('telling-truth', 2)), ('or', ('lying', 0), ('lying', 1)), ('telling-truth', 0), ('not', ('lying', 2)))", "index": 61}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Ella, Jacob, Sebastian, Logan, and James. \"Sebastian is a knave and Logan is a knave,\" Ella declared. Jacob said, \"James is a knight.\" \"If Jacob is a knight then Ella is a knight,\" Sebastian declared. \"Ella is a knave,\" Logan claimed. James remarked, \"Ella is not a knave\". So who is a knight and who is a knave?", "names": ["Ella", "Jacob", "Sebastian", "Logan", "James"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true, false], "solution_text": "Ella is a knave, Jacob is a knave, Sebastian is a knight, Logan is a knight, and James is a knave.", "solution_text_format": "(1) Ella is a knave\n(2) Jacob is a knave\n(3) Sebastian is a knight\n(4) Logan is a knight\n(5) James is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ella is a knight. No contradiction is found in their claim that Sebastian is a knave and Logan is a knave.", "Sebastian cannot be a knight, because this would contradict the claim of Ella that Sebastian is a knave and Logan is a knave.", "Sebastian cannot be a knave, because this would contradict the false claim of their own that If Jacob is a knight then Ella is a knight.", "We have exhausted all possibilities for 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 and Logan is a knave.", "Assume Sebastian is a knight. No contradiction is found in their claim that If Jacob is a knight then Ella is a knight.", "Jacob cannot be a knight, because this would contradict the claim of Sebastian that If Jacob is a knight then Ella is a knight.", "Assume Jacob is a knave. No contradiction is found in their false claim that James is a knight.", "James cannot be a knight, because this would contradict the false claim of Jacob that James is a knight.", "Assume James is a knave. No contradiction is found in their false claim that Ella is not a knave.", "Assume Logan is a knight. No contradiction is found in their claim that Ella is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('lying', 3)), ('telling-truth', 4), ('->', ('telling-truth', 1), ('telling-truth', 0)), ('lying', 0), ('not', ('lying', 0)))", "index": 62}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Lucas, Owen, Ella, Daniel, and Noah. \"Daniel is a knave and Ella is a knave,\" Lucas mentioned. Owen remarked, \"Ella is a knight\". In a statement by Ella: \"Noah is a knave if and only if Noah is a knight\". Daniel was heard saying, \"Ella is a knave and Noah is a knave\". As Noah put it, \"Ella is a knave\". So who is a knight and who is a knave?", "names": ["Lucas", "Owen", "Ella", "Daniel", "Noah"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false, true], "solution_text": "Lucas is a knight, Owen is a knave, Ella is a knave, Daniel is a knave, and Noah is a knight.", "solution_text_format": "(1) Lucas is a knight\n(2) Owen is a knave\n(3) Ella is a knave\n(4) Daniel is a knave\n(5) 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 Lucas is a knight. No contradiction is found in their claim that Daniel is a knave and Ella is a knave.", "Daniel cannot be a knight, because this would contradict the claim of Lucas that Daniel is a knave and Ella is a knave.", "Assume Daniel is a knave. No contradiction is found in their false claim that Ella is a knave and Noah is a knave.", "Ella cannot be a knight, because this would contradict the claim of Lucas that Daniel is a knave and Ella is a knave.", "Assume Ella is a knave. No contradiction is found in their false claim that Noah is a knave if and only if Noah is a knight.", "Assume Noah is a knight. No contradiction is found in their claim that Ella is a knave.", "Owen cannot be a knight, because this would contradict the claim of their own that Ella is a knight.", "Assume Owen 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": "(('and', ('lying', 3), ('lying', 2)), ('telling-truth', 2), ('<=>', ('lying', 4), ('telling-truth', 4)), ('and', ('lying', 2), ('lying', 4)), ('lying', 2))", "index": 63}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: James, Jacob, Jack, Henry, and Lucas. As James put it, \"Jacob is a knight and Henry is a knave\". Jacob said, \"If Henry is a knave then James is a knave.\" \"James is a knave,\" Jack mentioned. According to Henry, \"If Jack is a knight then James is a knave\". In a statement by Lucas: \"Jack is a knave and Henry is a knight\". So who is a knight and who is a knave?", "names": ["James", "Jacob", "Jack", "Henry", "Lucas"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, false], "solution_text": "James is a knave, Jacob is a knight, Jack is a knight, Henry is a knight, and Lucas is a knave.", "solution_text_format": "(1) James is a knave\n(2) Jacob is a knight\n(3) Jack is a knight\n(4) Henry is a knight\n(5) 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 James is a knight. No contradiction is found in their claim that Jacob is a knight and Henry is a knave.", "Assume Jacob is a knight. No contradiction is found in their claim that If Henry is a knave then James is a knave.", "Henry cannot be a knight, because this would contradict the claim of James that Jacob is a knight and Henry is a knave.", "Henry cannot be a knave, because this would contradict the claim of Jacob that If Henry is a knave then James is a knave.", "We have exhausted all possibilities for Henry, so let us go back and reconsider Jacob.", "Jacob cannot be a knave, because this would contradict the claim of James that Jacob is a knight and Henry is a knave.", "We have exhausted all possibilities for Jacob, so let us go back and reconsider James.", "Assume James is a knave. No contradiction is found in their false claim that Jacob is a knight and Henry is a knave.", "Assume Jacob is a knight. No contradiction is found in their claim that If Henry is a knave then James is a knave.", "Assume Henry is a knight. No contradiction is found in their 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.", "Lucas cannot be a knight, because this would contradict the claim of their own that Jack is a knave and Henry is a knight.", "Assume Lucas is a knave. No contradiction is found in their false claim that Jack is a knave and Henry is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('lying', 3)), ('->', ('lying', 3), ('lying', 0)), ('lying', 0), ('->', ('telling-truth', 2), ('lying', 0)), ('and', ('lying', 2), ('telling-truth', 3)))", "index": 64}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Abigail, Noah, Scarlett, Zoey, and Harper. Abigail noted, \"Zoey is a knave if and only if Harper is a knave\". Noah stated, \"If Harper is a knave then Zoey is a knave\". \"Noah is a knight if and only if Abigail is a knave,\" Scarlett declared. Zoey remarked, \"If Harper is a knight then Noah is a knave\". Harper was heard saying, \"Scarlett is a knave and Harper is a knight\". So who is a knight and who is a knave?", "names": ["Abigail", "Noah", "Scarlett", "Zoey", "Harper"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true, false], "solution_text": "Abigail is a knave, Noah is a knave, Scarlett is a knave, Zoey is a knight, and Harper is a knave.", "solution_text_format": "(1) Abigail is a knave\n(2) Noah is a knave\n(3) Scarlett is a knave\n(4) Zoey is a knight\n(5) 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 Abigail is a knight. No contradiction is found in their claim that Zoey is a knave if and only if Harper is a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that If Harper is a knight then Noah is a knave.", "Assume Harper is a knight. No contradiction is found in their claim that Scarlett is a knave and Harper is a knight.", "Scarlett cannot be a knight, because this would contradict the claim of Harper that Scarlett is a knave and Harper is a knight.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Noah is a knight if and only if Abigail is a knave.", "Noah cannot be a knight, because this would contradict the claim of Zoey that If Harper is a knight then Noah is a knave.", "Noah cannot be a knave, because this would contradict the false claim of their own that If Harper is a knave then Zoey is a knave.", "We have exhausted all possibilities for Noah and Scarlett, so let us go back and reconsider Harper.", "Harper cannot be a knave, because this would contradict the claim of Abigail that Zoey is a knave if and only if Harper is a knave.", "We have exhausted all possibilities for Harper, so let us go back and reconsider Zoey.", "Assume Zoey is a knave. No contradiction is found in their false claim that If Harper is a knight then Noah is a knave.", "Harper cannot be a knight, because this would contradict the claim of Abigail that Zoey is a knave if and only if Harper is a knave.", "Harper cannot be a knave, because this would contradict the false claim of Zoey that If Harper is a knight then Noah is a knave.", "We have exhausted all possibilities for Harper and Zoey, so let us go back and reconsider Abigail.", "Assume Abigail is a knave. No contradiction is found in their false claim that Zoey is a knave if and only if Harper is a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that If Harper is a knight then Noah is a knave.", "Harper cannot be a knight, because this would contradict the false claim of Abigail that Zoey is a knave if and only if Harper is a knave.", "Assume Harper is a knave. No contradiction is found in their false claim that Scarlett is a knave and Harper is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that Noah is a knight if and only if Abigail is a knave.", "Noah cannot be a knight, because this would contradict the claim of their own that If Harper is a knave then Zoey is a knave.", "Noah cannot be a knave, because this would contradict the claim of Scarlett that Noah is a knight if and only if Abigail is a knave.", "We have exhausted all possibilities for Noah, so let us go back and reconsider Scarlett.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Noah is a knight if and only if Abigail is a knave.", "Noah cannot be a knight, because this would contradict the claim of their own that If Harper is a knave then Zoey is a knave.", "Assume Noah is a knave. No contradiction is found in their false claim that If Harper is a knave then Zoey is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 3), ('lying', 4)), ('->', ('lying', 4), ('lying', 3)), ('<=>', ('telling-truth', 1), ('lying', 0)), ('->', ('telling-truth', 4), ('lying', 1)), ('and', ('lying', 2), ('telling-truth', 4)))", "index": 65}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Avery, Ava, Daniel, Lily, and Jacob. As Avery put it, \"Lily is a knave\". In a statement by Ava: \"If Jacob is a knight then Avery is a knave\". Daniel was heard saying, \"Lily is not a knave\". \"Jacob is a knave or Daniel is a knave,\" Lily declared. \"Ava is a knave and Daniel is a knight,\" Jacob claimed. So who is a knight and who is a knave?", "names": ["Avery", "Ava", "Daniel", "Lily", "Jacob"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, false], "solution_text": "Avery is a knave, Ava is a knight, Daniel is a knight, Lily is a knight, and Jacob is a knave.", "solution_text_format": "(1) Avery is a knave\n(2) Ava is a knight\n(3) Daniel is a knight\n(4) Lily is a knight\n(5) 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 Avery is a knight. No contradiction is found in their claim that Lily is a knave.", "Lily cannot be a knight, because this would contradict the claim of Avery that Lily is a knave.", "Assume Lily is a knave. No contradiction is found in their false claim that Jacob is a knave or Daniel is a knave.", "Assume Jacob is a knight. No contradiction is found in their claim that Ava is a knave and Daniel is a knight.", "Ava cannot be a knight, because this would contradict the claim of their own that If Jacob is a knight then Avery is a knave.", "Assume Ava is a knave. No contradiction is found in their false claim that If Jacob is a knight then Avery is a knave.", "Daniel cannot be a knight, because this would contradict the claim of their own that Lily is not a knave.", "Daniel cannot be a knave, because this would contradict the false claim of Lily that Jacob is a knave or Daniel is a knave.", "We have exhausted all possibilities for Daniel and Ava, so let us go back and reconsider Jacob.", "Jacob cannot be a knave, because this would contradict the false claim of Lily that Jacob is a knave or Daniel is a knave.", "We have exhausted all possibilities for Jacob and Lily, so let us go back and reconsider Avery.", "Assume Avery is a knave. No contradiction is found in their false claim that Lily is a knave.", "Assume Lily is a knight. No contradiction is found in their claim that Jacob is a knave or Daniel is a knave.", "Assume Jacob is a knight. No contradiction is found in their claim that Ava is a knave and Daniel is a knight.", "Ava cannot be a knight, because this would contradict the claim of Jacob that Ava is a knave and Daniel is a knight.", "Ava cannot be a knave, because this would contradict the false claim of their own that If Jacob is a knight then Avery is a knave.", "We have exhausted all possibilities for Ava, so let us go back and reconsider Jacob.", "Assume Jacob is a knave. No contradiction is found in their false claim that Ava is a knave and Daniel is a knight.", "Assume Ava is a knight. No contradiction is found in their claim that If Jacob is a knight then Avery is a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that Lily is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 3), ('->', ('telling-truth', 4), ('lying', 0)), ('not', ('lying', 3)), ('or', ('lying', 4), ('lying', 2)), ('and', ('lying', 1), ('telling-truth', 2)))", "index": 66}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: James, Liam, Aria, Ella, and Ava. James said, \"Ava is a knight.\" As Liam put it, \"Ava is not a knight\". Aria noted, \"Ava is a knight or Ava is a knave\". As Ella put it, \"Liam is a knave and Ava is a knave\". In a statement by Ava: \"James is a knight if and only if James is a knave\". So who is a knight and who is a knave?", "names": ["James", "Liam", "Aria", "Ella", "Ava"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false, false], "solution_text": "James is a knave, Liam is a knight, Aria is a knight, Ella is a knave, and Ava is a knave.", "solution_text_format": "(1) James is a knave\n(2) Liam is a knight\n(3) Aria is a knight\n(4) Ella is a knave\n(5) 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 Ava is a knight.", "Ava 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.", "Ava cannot be a knave, because this would contradict the claim of James that Ava is a knight.", "We have exhausted all possibilities for Ava, so let us go back and reconsider James.", "Assume James 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 James that Ava is a knight.", "Assume Ava 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 Liam is a knight. No contradiction is found in their claim that Ava is not a knight.", "Assume Aria is a knight. No contradiction is found in their claim that Ava is a knight or Ava is a knave.", "Ella cannot be a knight, because this would contradict the claim of their own that Liam is a knave and Ava is a knave.", "Assume Ella is a knave. No contradiction is found in their false claim that Liam is a knave and Ava is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 4), ('not', ('telling-truth', 4)), ('or', ('telling-truth', 4), ('lying', 4)), ('and', ('lying', 1), ('lying', 4)), ('<=>', ('telling-truth', 0), ('lying', 0)))", "index": 67}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Luke, Daniel, Ava, Grace, and Elizabeth. \"Daniel is a knave and Ava is a knight,\" Luke mentioned. In Daniel's words: \"Elizabeth is a knight and Luke is a knave\". According to Ava, \"Grace is a knight\". \"Grace is a knight\" - Grace. Elizabeth said, \"Daniel is not a knight.\" So who is a knight and who is a knave?", "names": ["Luke", "Daniel", "Ava", "Grace", "Elizabeth"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, true], "solution_text": "Luke is a knight, Daniel is a knave, Ava is a knight, Grace is a knight, and Elizabeth is a knight.", "solution_text_format": "(1) Luke is a knight\n(2) Daniel is a knave\n(3) Ava is a knight\n(4) Grace is a knight\n(5) 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 Daniel is a knave and Ava is a knight.", "Daniel cannot be a knight, because this would contradict the claim of Luke that Daniel is a knave and Ava is a knight.", "Assume Daniel is a knave. No contradiction is found in their false claim that Elizabeth is a knight and Luke is a knave.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Daniel is not a knight.", "Assume Ava 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 Grace is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('telling-truth', 2)), ('and', ('telling-truth', 4), ('lying', 0)), ('telling-truth', 3), ('telling-truth', 3), ('not', ('telling-truth', 1)))", "index": 68}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Sebastian, Owen, Sophia, Scarlett, and Sofia. \"Sophia is a knave or Owen is a knight\" - Sebastian. In a statement by Owen: \"Sophia is a knight and Owen is a knight\". \"Sofia is a knave and Scarlett is a knave\" - Sophia. \"Sebastian is not a knight\" - Scarlett. Sofia remarked, \"Sebastian is a knight or Scarlett is a knave\". So who is a knight and who is a knave?", "names": ["Sebastian", "Owen", "Sophia", "Scarlett", "Sofia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false, true], "solution_text": "Sebastian is a knight, Owen is a knave, Sophia is a knave, Scarlett is a knave, and Sofia is a knight.", "solution_text_format": "(1) Sebastian is a knight\n(2) Owen is a knave\n(3) Sophia is a knave\n(4) Scarlett is a knave\n(5) 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 Sebastian is a knight. No contradiction is found in their claim that Sophia is a knave or Owen is a knight.", "Assume Sophia 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 Sophia that Sofia is a knave and Scarlett is a knave.", "Sofia cannot be a knave, because this would contradict the false claim of their own that Sebastian is a knight or Scarlett is a knave.", "We have exhausted all possibilities for Sofia, so let us go back and reconsider Sophia.", "Assume Sophia 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 Sebastian is a knight or Scarlett is a knave.", "Scarlett cannot be a knight, because this would contradict the claim of their own that Sebastian is not a knight.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Sebastian is not a knight.", "Owen cannot be a knight, because this would contradict the claim of their own that Sophia is a knight and Owen is a knight.", "Assume Owen is a knave. No contradiction is found in their false claim that Sophia is a knight and Owen is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 2), ('telling-truth', 1)), ('and', ('telling-truth', 2), ('telling-truth', 1)), ('and', ('lying', 4), ('lying', 3)), ('not', ('telling-truth', 0)), ('or', ('telling-truth', 0), ('lying', 3)))", "index": 69}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Chloe, Mia, Luke, Emily, and Aurora. In a statement by Chloe: \"If Chloe is a knight then Aurora is a knight\". Mia asserted: \"Mia is a knight\". Luke noted, \"Mia is a knave if and only if Chloe is a knave\". \"Mia is a knave or Chloe is a knave\" - Emily. \"If Luke is a knave then Chloe is a knave,\" Aurora mentioned. So who is a knight and who is a knave?", "names": ["Chloe", "Mia", "Luke", "Emily", "Aurora"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false, true], "solution_text": "Chloe is a knight, Mia is a knight, Luke is a knight, Emily is a knave, and Aurora is a knight.", "solution_text_format": "(1) Chloe is a knight\n(2) Mia is a knight\n(3) Luke is a knight\n(4) Emily is a knave\n(5) Aurora is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Chloe is a knight. No contradiction is found in their claim that If Chloe is a knight then Aurora is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that If Luke is a knave then Chloe is a knave.", "Assume Luke is a knight. No contradiction is found in their claim that Mia is a knave if and only if Chloe is a knave.", "Assume Mia is a knight. No contradiction is found in their claim that Mia is a knight.", "Emily cannot be a knight, because this would contradict the claim of their own that Mia is a knave or Chloe is a knave.", "Assume Emily is a knave. No contradiction is found in their false claim that Mia is a knave or Chloe is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 0), ('telling-truth', 4)), ('telling-truth', 1), ('<=>', ('lying', 1), ('lying', 0)), ('or', ('lying', 1), ('lying', 0)), ('->', ('lying', 2), ('lying', 0)))", "index": 70}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Joseph, Zoey, Charlotte, Avery, and David. Joseph remarked, \"Charlotte is a knight or Charlotte is a knave\". Zoey said, \"Joseph is a knight if and only if Zoey is a knight.\" According to Charlotte, \"Zoey is a knave and Joseph is a knave\". As Avery put it, \"David is a knave\". According to David, \"Zoey is a knave or Avery is a knight\". So who is a knight and who is a knave?", "names": ["Joseph", "Zoey", "Charlotte", "Avery", "David"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false, true], "solution_text": "Joseph is a knight, Zoey is a knave, Charlotte is a knave, Avery is a knave, and David is a knight.", "solution_text_format": "(1) Joseph is a knight\n(2) Zoey is a knave\n(3) Charlotte is a knave\n(4) Avery is a knave\n(5) 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 Joseph 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 Zoey is a knave and Joseph is a knave.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Zoey is a knave and Joseph is a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that Joseph is a knight if and only if Zoey is a knight.", "Assume Avery 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 Avery that David is a knave.", "David cannot be a knave, because this would contradict the false claim of their own that Zoey is a knave or Avery is a knight.", "We have exhausted all possibilities for David, so let us go back and reconsider Avery.", "Assume Avery is a knave. No contradiction is found in their false claim that David is a knave.", "David cannot be a knight, because this would contradict the claim of their own that Zoey is a knave or Avery is a knight.", "David cannot be a knave, because this would contradict the false claim of Avery that David is a knave.", "We have exhausted all possibilities for David and Avery, so let us go back and reconsider Zoey.", "Assume Zoey is a knave. No contradiction is found in their false claim that Joseph is a knight if and only if Zoey is a knight.", "Assume Avery 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 Avery that David is a knave.", "David cannot be a knave, because this would contradict the false claim of their own that Zoey is a knave or Avery is a knight.", "We have exhausted all possibilities for David, so let us go back and reconsider Avery.", "Assume Avery is a knave. No contradiction is found in their false claim that David is a knave.", "Assume David is a knight. No contradiction is found in their claim that Zoey is a knave or Avery is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 2), ('lying', 2)), ('<=>', ('telling-truth', 0), ('telling-truth', 1)), ('and', ('lying', 1), ('lying', 0)), ('lying', 4), ('or', ('lying', 1), ('telling-truth', 3)))", "index": 71}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: James, Aurora, Matthew, Ava, and Lily. As James put it, \"If Lily is a knight then James is a knight\". According to Aurora, \"Lily is a knave\". Matthew said that Ava is a knight if and only if Lily is a knight. Ava told you that If Matthew is a knight then Aurora is a knight. \"Ava is not a knight,\" Lily claimed. So who is a knight and who is a knave?", "names": ["James", "Aurora", "Matthew", "Ava", "Lily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true, false], "solution_text": "James is a knight, Aurora is a knight, Matthew is a knave, Ava is a knight, and Lily is a knave.", "solution_text_format": "(1) James is a knight\n(2) Aurora is a knight\n(3) Matthew is a knave\n(4) Ava is a knight\n(5) 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 James is a knight. No contradiction is found in their claim that If Lily is a knight then James is a knight.", "Assume Lily 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 Lily that Ava is not a knight.", "Assume Ava is a knave. No contradiction is found in their false claim that If Matthew is a knight then Aurora is a knight.", "Matthew cannot be a knight, because this would contradict the claim of their own that Ava is a knight if and only if Lily is a knight.", "Matthew cannot be a knave, because this would contradict the false claim of Ava that If Matthew is a knight then Aurora is a knight.", "We have exhausted all possibilities for Matthew and Ava, so let us go back and reconsider Lily.", "Assume Lily is a knave. No contradiction is found in their false claim that Ava is not a knight.", "Assume Ava is a knight. No contradiction is found in their claim that If Matthew is a knight then Aurora is a knight.", "Matthew cannot be a knight, because this would contradict the claim of their own that Ava is a knight if and only if Lily is a knight.", "Assume Matthew is a knave. No contradiction is found in their false claim that Ava is a knight if and only if Lily is a knight.", "Assume Aurora 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', 4), ('telling-truth', 0)), ('lying', 4), ('<=>', ('telling-truth', 3), ('telling-truth', 4)), ('->', ('telling-truth', 2), ('telling-truth', 1)), ('not', ('telling-truth', 3)))", "index": 72}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Isabella, Oliver, Aiden, Penelope, and Jacob. Isabella was heard saying, \"Jacob is a knave or Penelope is a knave\". Oliver said that Penelope is not a knave. Aiden commented, \"Isabella is a knave\". Penelope remarked, \"Aiden is a knave\". \"Isabella is a knave and Penelope is a knight,\" Jacob mentioned. So who is a knight and who is a knave?", "names": ["Isabella", "Oliver", "Aiden", "Penelope", "Jacob"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true, false], "solution_text": "Isabella is a knight, Oliver is a knight, Aiden is a knave, Penelope is a knight, and Jacob is a knave.", "solution_text_format": "(1) Isabella is a knight\n(2) Oliver is a knight\n(3) Aiden is a knave\n(4) Penelope is a knight\n(5) 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 Isabella is a knight. No contradiction is found in their claim that Jacob is a knave or Penelope is a knave.", "Jacob cannot be a knight, because this would contradict the claim of their own that Isabella is a knave and Penelope is a knight.", "Assume Jacob is a knave. No contradiction is found in their false claim that Isabella is a knave and Penelope is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that Aiden is a knave.", "Aiden cannot be a knight, because this would contradict the claim of their own that Isabella is a knave.", "Assume Aiden is a knave. No contradiction is found in their false claim that Isabella is a knave.", "Assume Oliver 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', 4), ('lying', 3)), ('not', ('lying', 3)), ('lying', 0), ('lying', 2), ('and', ('lying', 0), ('telling-truth', 3)))", "index": 73}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Emma, Avery, Aria, Riley, and Penelope. Emma remarked, \"Aria is a knave if and only if Avery is a knight\". In Avery's words: \"Emma is a knave and Aria is a knave\". Aria told you that Avery is a knave. Riley asserted: \"Aria is a knave or Aria is a knight\". Penelope told you that Avery is not a knave. So who is a knight and who is a knave?", "names": ["Emma", "Avery", "Aria", "Riley", "Penelope"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, false], "solution_text": "Emma is a knight, Avery is a knave, Aria is a knight, Riley is a knight, and Penelope is a knave.", "solution_text_format": "(1) Emma is a knight\n(2) Avery is a knave\n(3) Aria is a knight\n(4) Riley is a knight\n(5) Penelope is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Emma is a knight. No contradiction is found in their claim that Aria is a knave if and only if Avery is a knight.", "Assume Aria 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 Emma that Aria is a knave if and only if Avery is a knight.", "Assume Avery is a knave. No contradiction is found in their false claim that Emma is a knave and Aria is a knave.", "Assume Riley is a knight. No contradiction is found in their claim that Aria is a knave or Aria is a knight.", "Penelope cannot be a knight, because this would contradict the claim of their own that Avery is not a knave.", "Assume Penelope is a knave. No contradiction is found in their false claim that Avery is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 2), ('telling-truth', 1)), ('and', ('lying', 0), ('lying', 2)), ('lying', 1), ('or', ('lying', 2), ('telling-truth', 2)), ('not', ('lying', 1)))", "index": 74}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Lucas, Aria, Sebastian, James, and Sophia. \"James is a knight and Sophia is a knight,\" Lucas mentioned. Aria said that Sophia is a knave if and only if Sebastian is a knave. According to Sebastian, \"James is a knave\". As James put it, \"James is a knight or Aria is a knave\". Sophia noted, \"Aria is not a knave\". So who is a knight and who is a knave?", "names": ["Lucas", "Aria", "Sebastian", "James", "Sophia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false, true], "solution_text": "Lucas is a knave, Aria is a knight, Sebastian is a knight, James is a knave, and Sophia is a knight.", "solution_text_format": "(1) Lucas is a knave\n(2) Aria is a knight\n(3) Sebastian is a knight\n(4) James is a knave\n(5) 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 Lucas is a knight. No contradiction is found in their claim that James is a knight and Sophia is a knight.", "Assume James is a knight. No contradiction is found in their claim that James is a knight or Aria is a knave.", "Assume Aria is a knight. No contradiction is found in their claim that Sophia is a knave if and only if Sebastian is a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that Aria is not a knave.", "Sebastian cannot be a knight, because this would contradict the claim of their own that James is a knave.", "Sebastian cannot be a knave, because this would contradict the claim of Aria that Sophia is a knave if and only if Sebastian is a knave.", "We have exhausted all possibilities for Sebastian, so let us go back and reconsider Sophia.", "Sophia cannot be a knave, because this would contradict the claim of Lucas that James is a knight and Sophia is a knight.", "We have exhausted all possibilities for 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 if and only if Sebastian is a knave.", "Sophia cannot be a knight, because this would contradict the claim of their own that Aria is not a knave.", "Sophia cannot be a knave, because this would contradict the claim of Lucas that James is a knight and Sophia is a knight.", "We have exhausted all possibilities for Sophia and Aria, so let us go back and reconsider James.", "James cannot be a knave, because this would contradict the claim of Lucas that James is a knight and Sophia is a knight.", "We have exhausted all possibilities for James, so let us go back and reconsider Lucas.", "Assume Lucas is a knave. No contradiction is found in their false claim that James is a knight and Sophia is a knight.", "Assume James is a knight. No contradiction is found in their claim that James is a knight or Aria is a knave.", "Assume Aria is a knight. No contradiction is found in their claim that Sophia is a knave if and only if Sebastian is a knave.", "Sophia cannot be a knight, because this would contradict the false claim of Lucas that James is a knight and Sophia is a knight.", "Sophia cannot be a knave, because this would contradict the false claim of their own that Aria is not a knave.", "We have exhausted all possibilities for 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 if and only if Sebastian is a knave.", "Sophia cannot be a knight, because this would contradict the false claim of Lucas that James is a knight and Sophia is a knight.", "Assume Sophia is a knave. No contradiction is found in their false claim that Aria is not a knave.", "Sebastian cannot be a knight, because this would contradict the claim of their own that James is a knave.", "Sebastian cannot be a knave, because this would contradict the false claim of Aria that Sophia is a knave if and only if Sebastian is a knave.", "We have exhausted all possibilities for Sebastian, Sophia, and Aria, 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 or Aria is a knave.", "Assume Aria is a knight. No contradiction is found in their claim that Sophia is a knave if and only if Sebastian is a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that Aria is not a knave.", "Assume Sebastian 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', 3), ('telling-truth', 4)), ('<=>', ('lying', 4), ('lying', 2)), ('lying', 3), ('or', ('telling-truth', 3), ('lying', 1)), ('not', ('lying', 1)))", "index": 75}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Daniel, Alexander, Matthew, Noah, and Isabella. Daniel said, \"Daniel is a knight or Noah is a knave.\" According to Alexander, \"Isabella is not a knave\". In Matthew's words: \"Daniel is not a knight\". Noah expressed that Isabella is a knave and Matthew is a knave. Isabella said, \"If Noah is a knave then Isabella is a knight.\" So who is a knight and who is a knave?", "names": ["Daniel", "Alexander", "Matthew", "Noah", "Isabella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false, true], "solution_text": "Daniel is a knight, Alexander is a knight, Matthew is a knave, Noah is a knave, and Isabella is a knight.", "solution_text_format": "(1) Daniel is a knight\n(2) Alexander is a knight\n(3) Matthew is a knave\n(4) Noah is a knave\n(5) 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 Daniel is a knight. No contradiction is found in their claim that Daniel is a knight or Noah is a knave.", "Assume Noah is a knight. No contradiction is found in their claim that Isabella is a knave and Matthew is a knave.", "Isabella cannot be a knight, because this would contradict the claim of Noah that Isabella is a knave and Matthew is a knave.", "Isabella cannot be a knave, because this would contradict the false claim of their own that If Noah is a knave then Isabella is a knight.", "We have exhausted all possibilities for Isabella, so let us go back and reconsider Noah.", "Assume Noah is a knave. No contradiction is found in their false claim that Isabella is a knave and Matthew is a knave.", "Assume Isabella is a knight. No contradiction is found in their claim that If Noah is a knave then Isabella is a knight.", "Matthew cannot be a knight, because this would contradict the claim of their own that Daniel is not a knight.", "Assume Matthew is a knave. No contradiction is found in their false claim that Daniel is not a knight.", "Assume Alexander 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', ('telling-truth', 0), ('lying', 3)), ('not', ('lying', 4)), ('not', ('telling-truth', 0)), ('and', ('lying', 4), ('lying', 2)), ('->', ('lying', 3), ('telling-truth', 4)))", "index": 76}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Liam, Aurora, Charlotte, Ella, and Grace. Liam said, \"Charlotte is a knight and Liam is a knight.\" Aurora stated, \"Charlotte is a knight and Grace is a knight\". \"Ella is a knight if and only if Liam is a knight,\" Charlotte declared. Ella said, \"Charlotte is not a knave.\" Grace asserted: \"If Grace is a knight then Charlotte is a knight\". So who is a knight and who is a knave?", "names": ["Liam", "Aurora", "Charlotte", "Ella", "Grace"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, true], "solution_text": "Liam is a knight, Aurora is a knight, Charlotte is a knight, Ella is a knight, and Grace is a knight.", "solution_text_format": "(1) Liam is a knight\n(2) Aurora is a knight\n(3) Charlotte is a knight\n(4) Ella is a knight\n(5) Grace is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Liam is a knight. No contradiction is found in their claim that Charlotte is a knight and Liam is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that Ella is a knight if and only if Liam is a knight.", "Assume Ella is a knight. No contradiction is found in their claim that Charlotte is not a knave.", "Assume Aurora is a knight. No contradiction is found in their claim that Charlotte is a knight and Grace is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that If Grace is a knight then Charlotte is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 2), ('telling-truth', 0)), ('and', ('telling-truth', 2), ('telling-truth', 4)), ('<=>', ('telling-truth', 3), ('telling-truth', 0)), ('not', ('lying', 2)), ('->', ('telling-truth', 4), ('telling-truth', 2)))", "index": 77}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Emma, Mason, Liam, William, and Riley. In a statement by Emma: \"Mason is a knave or Riley is a knight\". \"If Liam is a knave then Riley is a knave,\" Mason claimed. In a statement by Liam: \"If Liam is a knight then Emma is a knave\". William said, \"Liam is not a knight.\" Riley commented, \"William is a knight or Liam is a knave\". So who is a knight and who is a knave?", "names": ["Emma", "Mason", "Liam", "William", "Riley"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false, false], "solution_text": "Emma is a knave, Mason is a knight, Liam is a knight, William is a knave, and Riley is a knave.", "solution_text_format": "(1) Emma is a knave\n(2) Mason is a knight\n(3) Liam is a knight\n(4) William is a knave\n(5) 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 Emma is a knight. No contradiction is found in their claim that Mason is a knave or Riley is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that If Liam is a knave then Riley is a knave.", "Liam cannot be a knight, because this would contradict the claim of their own that If Liam is a knight then Emma 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 Emma is a knave.", "We have exhausted all possibilities for Liam, so let us go back and reconsider Mason.", "Assume Mason is a knave. No contradiction is found in their false claim that If Liam is a knave then Riley is a knave.", "Liam cannot be a knight, because this would contradict the false claim of Mason that If Liam is a knave then Riley 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 Emma is a knave.", "We have exhausted all possibilities for Liam and Mason, so let us go back and reconsider Emma.", "Assume Emma is a knave. No contradiction is found in their false claim that Mason is a knave or Riley is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that If Liam is a knave then Riley is a knave.", "Assume Liam is a knight. No contradiction is found in their claim that If Liam is a knight then Emma is a knave.", "Riley cannot be a knight, because this would contradict the false claim of Emma that Mason is a knave or Riley is a knight.", "Assume Riley is a knave. No contradiction is found in their false claim that William is a knight or Liam is a knave.", "William cannot be a knight, because this would contradict the claim of their own that Liam is not a knight.", "Assume William is a knave. No contradiction is found in their false claim that Liam is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('telling-truth', 4)), ('->', ('lying', 2), ('lying', 4)), ('->', ('telling-truth', 2), ('lying', 0)), ('not', ('telling-truth', 2)), ('or', ('telling-truth', 3), ('lying', 2)))", "index": 78}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Emma, Harper, Aurora, Sebastian, and James. Emma asserted: \"Sebastian is a knave\". Harper said that Aurora is a knight or Harper is a knight. Aurora asserted: \"If Sebastian is a knave then Harper is a knight\". Sebastian told you that Aurora is a knave if and only if Emma is a knave. In James's words: \"Harper is a knight and Aurora is a knight\". So who is a knight and who is a knave?", "names": ["Emma", "Harper", "Aurora", "Sebastian", "James"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false, false], "solution_text": "Emma is a knight, Harper is a knave, Aurora is a knave, Sebastian is a knave, and James is a knave.", "solution_text_format": "(1) Emma is a knight\n(2) Harper is a knave\n(3) Aurora is a knave\n(4) Sebastian is a knave\n(5) 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 Emma is a knight. No contradiction is found in their claim that Sebastian is a knave.", "Sebastian cannot be a knight, because this would contradict the claim of Emma that Sebastian is a knave.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Aurora is a knave if and only if Emma is a knave.", "Aurora cannot be a knight, because this would contradict the false claim of Sebastian that Aurora is a knave if and only if Emma is a knave.", "Assume Aurora is a knave. No contradiction is found in their false claim that If Sebastian is a knave then Harper is a knight.", "Harper cannot be a knight, because this would contradict the false claim of Aurora that If Sebastian is a knave then Harper is a knight.", "Assume Harper is a knave. No contradiction is found in their false claim that Aurora is a knight or Harper is a knight.", "James cannot be a knight, because this would contradict the claim of their own that Harper is a knight and Aurora is a knight.", "Assume James is a knave. No contradiction is found in their false claim that Harper is a knight and Aurora is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 3), ('or', ('telling-truth', 2), ('telling-truth', 1)), ('->', ('lying', 3), ('telling-truth', 1)), ('<=>', ('lying', 2), ('lying', 0)), ('and', ('telling-truth', 1), ('telling-truth', 2)))", "index": 79}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Olivia, Liam, Aria, Charlotte, and Lily. \"Liam is a knight if and only if Olivia is a knight,\" Olivia mentioned. In a statement by Liam: \"If Charlotte is a knight then Lily is a knight\". Aria told you that Charlotte is not a knave. Charlotte said, \"If Olivia is a knave then Olivia is a knight.\" Lily commented, \"Aria is a knight and Olivia is a knave\". So who is a knight and who is a knave?", "names": ["Olivia", "Liam", "Aria", "Charlotte", "Lily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false, false], "solution_text": "Olivia is a knave, Liam is a knight, Aria is a knave, Charlotte is a knave, and Lily is a knave.", "solution_text_format": "(1) Olivia is a knave\n(2) Liam is a knight\n(3) Aria is a knave\n(4) Charlotte is a knave\n(5) 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 Olivia is a knight. No contradiction is found in their claim that Liam is a knight if and only if Olivia is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that If Charlotte is a knight then Lily is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that If Olivia is a knave then Olivia is a knight.", "Lily cannot be a knight, because this would contradict the claim of their own that Aria is a knight and Olivia is a knave.", "Lily cannot be a knave, because this would contradict the claim of Liam that If Charlotte is a knight then Lily is a knight.", "We have exhausted all possibilities for Lily, so let us go back and reconsider Charlotte.", "Charlotte cannot be a knave, because this would contradict the false claim of their own that If Olivia is a knave then Olivia is a knight.", "We have exhausted all possibilities for Charlotte, so let us go back and reconsider Liam.", "Liam cannot be a knave, because this would contradict the claim of Olivia that Liam is a knight if and only if Olivia is a knight.", "We have exhausted all possibilities for Liam, so let us go back and reconsider Olivia.", "Assume Olivia is a knave. No contradiction is found in their false claim that Liam is a knight if and only if Olivia is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that If Charlotte is a knight then Lily is a knight.", "Charlotte cannot be a knight, because this would contradict the claim of their own that If Olivia is a knave then Olivia is a knight.", "Assume Charlotte is a knave. No contradiction is found in their false claim that If Olivia is a knave then Olivia is a knight.", "Assume Lily is a knight. No contradiction is found in their claim that Aria is a knight and Olivia 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 Lily that Aria is a knight and Olivia is a knave.", "We have exhausted all possibilities for Aria, so let us go back and reconsider Lily.", "Assume Lily is a knave. No contradiction is found in their false claim that Aria is a knight and Olivia is a knave.", "Aria cannot be a knight, because this would contradict the claim of their own that Charlotte is not 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": "(('<=>', ('telling-truth', 1), ('telling-truth', 0)), ('->', ('telling-truth', 3), ('telling-truth', 4)), ('not', ('lying', 3)), ('->', ('lying', 0), ('telling-truth', 0)), ('and', ('telling-truth', 2), ('lying', 0)))", "index": 80}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Scarlett, Emma, Aiden, Henry, and Matthew. \"Emma is a knight,\" Scarlett declared. Emma noted, \"If Matthew is a knight then Aiden is a knight\". Aiden told you that Henry is a knave or Scarlett is a knave. Henry commented, \"Emma is a knave if and only if Emma is a knight\". Matthew noted, \"Aiden is a knave and Scarlett is a knight\". So who is a knight and who is a knave?", "names": ["Scarlett", "Emma", "Aiden", "Henry", "Matthew"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false, false], "solution_text": "Scarlett is a knight, Emma is a knight, Aiden is a knight, Henry is a knave, and Matthew is a knave.", "solution_text_format": "(1) Scarlett is a knight\n(2) Emma is a knight\n(3) Aiden is a knight\n(4) Henry is a knave\n(5) 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 Scarlett is a knight. No contradiction is found in their claim that Emma is a knight.", "Assume Emma is a knight. No contradiction is found in their claim that If Matthew is a knight then Aiden is a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that Aiden is a knave and Scarlett is a knight.", "Aiden cannot be a knight, because this would contradict the claim of Matthew that Aiden is a knave and Scarlett is a knight.", "Aiden cannot be a knave, because this would contradict the claim of Emma that If Matthew is a knight then Aiden is a knight.", "We have exhausted all possibilities for Aiden, so let us go back and reconsider Matthew.", "Assume Matthew is a knave. No contradiction is found in their false claim that Aiden is a knave and Scarlett is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that Henry is a knave or Scarlett is a knave.", "Henry cannot be a knight, because this would contradict the claim of Aiden that Henry is a knave or Scarlett is a knave.", "Assume Henry 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": "(('telling-truth', 1), ('->', ('telling-truth', 4), ('telling-truth', 2)), ('or', ('lying', 3), ('lying', 0)), ('<=>', ('lying', 1), ('telling-truth', 1)), ('and', ('lying', 2), ('telling-truth', 0)))", "index": 81}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Sebastian, Evelyn, Elizabeth, Jacob, and Owen. \"Jacob is not a knight\" - Sebastian. \"Elizabeth is not a knight,\" Evelyn claimed. Elizabeth stated, \"Sebastian is a knave if and only if Sebastian is a knight\". \"Sebastian is a knight and Evelyn is a knave\" - Jacob. \"Sebastian is not a knave,\" Owen claimed. So who is a knight and who is a knave?", "names": ["Sebastian", "Evelyn", "Elizabeth", "Jacob", "Owen"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false, true], "solution_text": "Sebastian is a knight, Evelyn is a knight, Elizabeth is a knave, Jacob is a knave, and Owen is a knight.", "solution_text_format": "(1) Sebastian is a knight\n(2) Evelyn is a knight\n(3) Elizabeth is a knave\n(4) Jacob is a knave\n(5) 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 Sebastian 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 Sebastian that Jacob is not a knight.", "Assume Jacob is a knave. No contradiction is found in their false claim that Sebastian is a knight and Evelyn is a knave.", "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 Sebastian is a knave if and only if Sebastian is a knight.", "Assume Owen 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": "(('not', ('telling-truth', 3)), ('not', ('telling-truth', 2)), ('<=>', ('lying', 0), ('telling-truth', 0)), ('and', ('telling-truth', 0), ('lying', 1)), ('not', ('lying', 0)))", "index": 82}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: David, Noah, Sofia, Jackson, and Scarlett. \"Jackson is a knight or David is a knight,\" David claimed. \"Sofia is a knave,\" Noah claimed. Sofia expressed that Scarlett is a knave if and only if Noah is a knave. As Jackson put it, \"David is a knave if and only if Noah is a knave\". In a statement by Scarlett: \"Jackson is a knight if and only if Sofia is a knave\". So who is a knight and who is a knave?", "names": ["David", "Noah", "Sofia", "Jackson", "Scarlett"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false, false], "solution_text": "David is a knave, Noah is a knight, Sofia is a knave, Jackson is a knave, and Scarlett is a knave.", "solution_text_format": "(1) David is a knave\n(2) Noah is a knight\n(3) Sofia is a knave\n(4) Jackson is a knave\n(5) 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 David is a knight. No contradiction is found in their claim that Jackson is a knight or David is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that David is a knave if and only if Noah is a knave.", "Assume Noah 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 Noah that Sofia is a knave.", "Assume Sofia is a knave. No contradiction is found in their false claim that Scarlett is a knave if and only if Noah is a knave.", "Scarlett cannot be a knight, because this would contradict the false claim of Sofia that Scarlett is a knave if and only if Noah is a knave.", "Scarlett cannot be a knave, because this would contradict the false claim of their own that Jackson is a knight if and only if Sofia is a knave.", "We have exhausted all possibilities for Scarlett and Sofia, so let us go back and reconsider Noah.", "Noah cannot be a knave, because this would contradict the claim of Jackson that David is a knave if and only if Noah is a knave.", "We have exhausted all possibilities for Noah, so let us go back and reconsider Jackson.", "Assume Jackson is a knave. No contradiction is found in their false claim that David is a knave if and only if Noah is a knave.", "Noah cannot be a knight, because this would contradict the false claim of Jackson that David is a knave if and only if Noah is a knave.", "Assume Noah 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 Scarlett is a knave if and only if Noah is a knave.", "Scarlett cannot be a knight, because this would contradict the claim of Sofia that Scarlett is a knave if and only if Noah is a knave.", "Scarlett cannot be a knave, because this would contradict the false claim of their own that Jackson is a knight if and only if Sofia is a knave.", "We have exhausted all possibilities for Scarlett, so let us go back and reconsider Sofia.", "Sofia cannot be a knave, because this would contradict the false claim of Noah that Sofia is a knave.", "We have exhausted all possibilities for Sofia, Noah, and Jackson, so let us go back and reconsider David.", "Assume David is a knave. No contradiction is found in their false claim that Jackson is a knight or David is a knight.", "Jackson cannot be a knight, because this would contradict the false claim of David that Jackson is a knight or David is a knight.", "Assume Jackson is a knave. No contradiction is found in their false claim that David is a knave if and only if Noah is a knave.", "Assume Noah 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 Noah that Sofia is a knave.", "Assume Sofia is a knave. No contradiction is found in their false claim that Scarlett is a knave if and only if Noah is a knave.", "Scarlett cannot be a knight, because this would contradict the false claim of Sofia that Scarlett is a knave if and only if Noah is a knave.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Jackson is a knight if and only if Sofia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 3), ('telling-truth', 0)), ('lying', 2), ('<=>', ('lying', 4), ('lying', 1)), ('<=>', ('lying', 0), ('lying', 1)), ('<=>', ('telling-truth', 3), ('lying', 2)))", "index": 83}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Lily, Daniel, Sofia, Isabella, and Emily. According to Lily, \"Lily is a knight or Isabella is a knight\". Daniel commented, \"Isabella is a knight\". As Sofia put it, \"Daniel is not a knight\". Isabella remarked, \"Daniel is a knight or Emily is a knight\". In a statement by Emily: \"Daniel is not a knight\". So who is a knight and who is a knave?", "names": ["Lily", "Daniel", "Sofia", "Isabella", "Emily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true, false], "solution_text": "Lily is a knight, Daniel is a knight, Sofia is a knave, Isabella is a knight, and Emily is a knave.", "solution_text_format": "(1) Lily is a knight\n(2) Daniel is a knight\n(3) Sofia is a knave\n(4) Isabella is a knight\n(5) 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 Lily is a knight. No contradiction is found in their claim that Lily is a knight or Isabella is a knight.", "Assume Isabella is a knight. No contradiction is found in their claim that Daniel is a knight or Emily is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that Isabella is a knight.", "Emily cannot be a knight, because this would contradict the claim of their own that Daniel is not a knight.", "Assume Emily is a knave. No contradiction is found in their false claim that Daniel is not a knight.", "Sofia cannot be a knight, because this would contradict the claim of their own that Daniel is not a knight.", "Assume Sofia is a knave. No contradiction is found in their false claim that Daniel is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 0), ('telling-truth', 3)), ('telling-truth', 3), ('not', ('telling-truth', 1)), ('or', ('telling-truth', 1), ('telling-truth', 4)), ('not', ('telling-truth', 1)))", "index": 84}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Zoey, Matthew, Ava, Michael, and Scarlett. Zoey said that If Ava is a knight then Scarlett is a knight. \"If Michael is a knave then Scarlett is a knight\" - Matthew. In Ava's words: \"Michael is a knight and Zoey is a knight\". Michael said that Scarlett is a knave or Matthew is a knight. Scarlett expressed that Scarlett is a knight. So who is a knight and who is a knave?", "names": ["Zoey", "Matthew", "Ava", "Michael", "Scarlett"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, true], "solution_text": "Zoey is a knight, Matthew is a knight, Ava is a knight, Michael is a knight, and Scarlett is a knight.", "solution_text_format": "(1) Zoey is a knight\n(2) Matthew is a knight\n(3) Ava is a knight\n(4) Michael is a knight\n(5) 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 Zoey is a knight. No contradiction is found in their claim that If Ava is a knight then Scarlett is a knight.", "Assume Ava is a knight. No contradiction is found in their claim that Michael is a knight and Zoey is a knight.", "Assume Michael is a knight. No contradiction is found in their claim that Scarlett is a knave or Matthew is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that Scarlett is a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that If Michael is a knave then Scarlett is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 2), ('telling-truth', 4)), ('->', ('lying', 3), ('telling-truth', 4)), ('and', ('telling-truth', 3), ('telling-truth', 0)), ('or', ('lying', 4), ('telling-truth', 1)), ('telling-truth', 4))", "index": 85}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Benjamin, Abigail, Lily, Charlotte, and Scarlett. Benjamin told you that Charlotte is a knave. In a statement by Abigail: \"If Lily is a knave then Benjamin is a knave\". Lily said, \"Charlotte is not a knave.\" Charlotte was heard saying, \"Scarlett is a knight\". Scarlett noted, \"Lily is a knave or Benjamin is a knave\". So who is a knight and who is a knave?", "names": ["Benjamin", "Abigail", "Lily", "Charlotte", "Scarlett"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, true], "solution_text": "Benjamin is a knave, Abigail is a knight, Lily is a knight, Charlotte is a knight, and Scarlett is a knight.", "solution_text_format": "(1) Benjamin is a knave\n(2) Abigail is a knight\n(3) Lily is a knight\n(4) Charlotte is a knight\n(5) 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 Charlotte is a knave.", "Charlotte cannot be a knight, because this would contradict the claim of Benjamin that Charlotte is a knave.", "Assume Charlotte 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 Charlotte that Scarlett is a knight.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Lily is a knave or Benjamin is a knave.", "Lily cannot be a knight, because this would contradict the claim of their own that Charlotte is not a knave.", "Lily cannot be a knave, because this would contradict the false claim of Scarlett that Lily is a knave or Benjamin is a knave.", "We have exhausted all possibilities for Lily, Scarlett, and Charlotte, so let us go back and reconsider Benjamin.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Charlotte is a knave.", "Assume Charlotte 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 Lily is a knave or Benjamin is a knave.", "Assume Lily is a knight. No contradiction is found in their claim that Charlotte is not a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that If Lily is a knave then Benjamin is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 3), ('->', ('lying', 2), ('lying', 0)), ('not', ('lying', 3)), ('telling-truth', 4), ('or', ('lying', 2), ('lying', 0)))", "index": 86}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: David, Chloe, Abigail, Daniel, and Aria. As David put it, \"David is a knight and Chloe is a knight\". \"Aria is not a knight,\" Chloe declared. In Abigail's words: \"Daniel is a knight\". According to Daniel, \"Chloe is a knave or Aria is a knave\". Aria stated, \"Daniel is not a knave\". So who is a knight and who is a knave?", "names": ["David", "Chloe", "Abigail", "Daniel", "Aria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true, true], "solution_text": "David is a knave, Chloe is a knave, Abigail is a knight, Daniel is a knight, and Aria is a knight.", "solution_text_format": "(1) David is a knave\n(2) Chloe is a knave\n(3) Abigail is a knight\n(4) Daniel is a knight\n(5) 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 David is a knight. No contradiction is found in their claim that David is a knight and Chloe is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that Aria is not a knight.", "Aria cannot be a knight, because this would contradict the claim of Chloe that Aria is not a knight.", "Assume Aria is a knave. No contradiction is found in their false claim that Daniel is not a knave.", "Daniel cannot be a knight, because this would contradict the false claim of Aria that Daniel is not a knave.", "Daniel cannot be a knave, because this would contradict the false claim of their own that Chloe is a knave or Aria is a knave.", "We have exhausted all possibilities for Daniel and Aria, so let us go back and reconsider Chloe.", "Chloe cannot be a knave, because this would contradict the claim of David that David is a knight and Chloe is a knight.", "We have exhausted all possibilities for Chloe, so let us go back and reconsider David.", "Assume David is a knave. No contradiction is found in their false claim that David is a knight and Chloe is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that Aria is not a knight.", "Aria cannot be a knight, because this would contradict the claim of Chloe that Aria is not a knight.", "Assume Aria is a knave. No contradiction is found in their false claim that Daniel is not a knave.", "Daniel cannot be a knight, because this would contradict the false claim of Aria that Daniel is not a knave.", "Daniel cannot be a knave, because this would contradict the false claim of their own that Chloe is a knave or Aria is a knave.", "We have exhausted all possibilities for Daniel 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 not a knight.", "Assume Aria 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 Chloe is a knave or Aria is a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that Daniel is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 0), ('telling-truth', 1)), ('not', ('telling-truth', 4)), ('telling-truth', 3), ('or', ('lying', 1), ('lying', 4)), ('not', ('lying', 3)))", "index": 87}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Daniel, Owen, Benjamin, Samuel, and Abigail. Daniel stated, \"Owen is a knight or Abigail is a knave\". \"Abigail is a knave or Owen is a knight,\" Owen claimed. Benjamin said that Daniel is not a knight. Samuel stated, \"If Daniel is a knave then Abigail is a knave\". Abigail remarked, \"Abigail is a knight if and only if Samuel is a knave\". So who is a knight and who is a knave?", "names": ["Daniel", "Owen", "Benjamin", "Samuel", "Abigail"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false, true], "solution_text": "Daniel is a knave, Owen is a knave, Benjamin is a knight, Samuel is a knave, and Abigail is a knight.", "solution_text_format": "(1) Daniel is a knave\n(2) Owen is a knave\n(3) Benjamin is a knight\n(4) Samuel is a knave\n(5) 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 Owen is a knight or Abigail is a knave.", "Assume Owen is a knight. No contradiction is found in their claim that Abigail is a knave or Owen is a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that Abigail is a knight if and only if Samuel is a knave.", "Samuel cannot be a knight, because this would contradict the claim of Abigail that Abigail is a knight if and only if Samuel is a knave.", "Samuel cannot be a knave, because this would contradict the false claim of their own that If Daniel is a knave then Abigail is a knave.", "We have exhausted all possibilities for Samuel, 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 Samuel is a knave.", "Samuel cannot be a knight, because this would contradict the false claim of Abigail that Abigail is a knight if and only if Samuel is a knave.", "Samuel cannot be a knave, because this would contradict the false claim of their own that If Daniel is a knave then Abigail is a knave.", "We have exhausted all possibilities for Samuel and Abigail, so let us go back and reconsider Owen.", "Assume Owen is a knave. No contradiction is found in their false claim that Abigail is a knave or Owen is a knight.", "Abigail cannot be a knight, because this would contradict the claim of Daniel that Owen is a knight or Abigail is a knave.", "Abigail cannot be a knave, because this would contradict the false claim of Owen that Abigail is a knave or Owen is a knight.", "We have exhausted all possibilities for Abigail and Owen, so let us go back and reconsider Daniel.", "Assume Daniel is a knave. No contradiction is found in their false claim that Owen is a knight or Abigail is a knave.", "Owen cannot be a knight, because this would contradict the false claim of Daniel that Owen is a knight or Abigail is a knave.", "Assume Owen is a knave. No contradiction is found in their false claim that Abigail is a knave or Owen is a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that Abigail 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 If Daniel is a knave then Abigail is a knave.", "Assume Samuel is a knave. No contradiction is found in their false claim that If Daniel is a knave then Abigail is a knave.", "Assume Benjamin 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": "(('or', ('telling-truth', 1), ('lying', 4)), ('or', ('lying', 4), ('telling-truth', 1)), ('not', ('telling-truth', 0)), ('->', ('lying', 0), ('lying', 4)), ('<=>', ('telling-truth', 4), ('lying', 3)))", "index": 88}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Alexander, Luke, Emma, Jack, and Samuel. As Alexander put it, \"Jack is a knight\". Luke said that Alexander is not a knight. In a statement by Emma: \"Samuel is a knave or Jack is a knight\". Jack commented, \"Luke is a knight if and only if Emma is a knight\". Samuel said, \"If Luke is a knave then Jack is a knave.\" So who is a knight and who is a knave?", "names": ["Alexander", "Luke", "Emma", "Jack", "Samuel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false, true], "solution_text": "Alexander is a knave, Luke is a knight, Emma is a knave, Jack is a knave, and Samuel is a knight.", "solution_text_format": "(1) Alexander is a knave\n(2) Luke is a knight\n(3) Emma is a knave\n(4) Jack is a knave\n(5) 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 Jack is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that Luke is a knight if and only if Emma is a knight.", "Luke cannot be a knight, because this would contradict the claim of their own that Alexander is not a knight.", "Assume Luke is a knave. No contradiction is found in their false claim that Alexander is not a knight.", "Emma cannot be a knight, because this would contradict the claim of Jack that Luke is a knight if and only if Emma is a knight.", "Emma cannot be a knave, because this would contradict the false claim of their own that Samuel is a knave or Jack is a knight.", "We have exhausted all possibilities for Emma and Luke, so let us go back and reconsider Jack.", "Jack cannot be a knave, because this would contradict the claim of Alexander that Jack is a knight.", "We have exhausted all possibilities for Jack, so let us go back and reconsider Alexander.", "Assume Alexander is a knave. No contradiction is found in their false claim that Jack is a knight.", "Jack cannot be a knight, because this would contradict the false claim of Alexander that Jack is a knight.", "Assume Jack is a knave. No contradiction is found in their false claim that Luke is a knight if and only if Emma is a knight.", "Assume Luke is a knight. No contradiction is found in their claim that Alexander is not a knight.", "Emma cannot be a knight, because this would contradict the false claim of Jack that Luke 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 Samuel is a knave or Jack is a knight.", "Assume Samuel is a knight. No contradiction is found in their claim that If Luke is a knave then Jack is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 3), ('not', ('telling-truth', 0)), ('or', ('lying', 4), ('telling-truth', 3)), ('<=>', ('telling-truth', 1), ('telling-truth', 2)), ('->', ('lying', 1), ('lying', 3)))", "index": 89}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Mia, Jacob, Avery, Isabella, and Olivia. \"Isabella is a knight and Olivia is a knight,\" Mia declared. Jacob told you that Avery is not a knight. Avery commented, \"Olivia is a knave\". Isabella told you that If Jacob is a knave then Avery is a knave. \"If Isabella is a knave then Jacob is a knave,\" Olivia mentioned. So who is a knight and who is a knave?", "names": ["Mia", "Jacob", "Avery", "Isabella", "Olivia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true, true], "solution_text": "Mia is a knight, Jacob is a knight, Avery is a knave, Isabella is a knight, and Olivia is a knight.", "solution_text_format": "(1) Mia is a knight\n(2) Jacob is a knight\n(3) Avery is a knave\n(4) Isabella is a knight\n(5) 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 Mia is a knight. No contradiction is found in their claim that Isabella is a knight and Olivia is a knight.", "Assume Isabella is a knight. No contradiction is found in their claim that If Jacob is a knave then Avery is a knave.", "Assume Jacob 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 Jacob that Avery is not a knight.", "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 Isabella is a knave then Jacob is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 3), ('telling-truth', 4)), ('not', ('telling-truth', 2)), ('lying', 4), ('->', ('lying', 1), ('lying', 2)), ('->', ('lying', 3), ('lying', 1)))", "index": 90}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Chloe, Harper, Olivia, Logan, and David. Chloe remarked, \"Harper is a knight if and only if David is a knight\". Harper expressed that If David is a knave then Logan is a knight. Olivia told you that Logan is a knight if and only if Harper is a knave. Logan told you that Chloe is a knight if and only if Chloe is a knave. In David's words: \"Logan is a knight\". So who is a knight and who is a knave?", "names": ["Chloe", "Harper", "Olivia", "Logan", "David"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false, false], "solution_text": "Chloe is a knight, Harper is a knave, Olivia is a knave, Logan is a knave, and David is a knave.", "solution_text_format": "(1) Chloe is a knight\n(2) Harper is a knave\n(3) Olivia is a knave\n(4) Logan is a knave\n(5) 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 Chloe is a knight. No contradiction is found in their claim that Harper is a knight if and only if David is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that If David is a knave then Logan is a knight.", "Assume David 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 Chloe is a knight if and only if Chloe is a knave.", "Logan cannot be a knave, because this would contradict the claim of David that Logan is a knight.", "We have exhausted all possibilities for Logan, so let us go back and reconsider David.", "David cannot be a knave, because this would contradict the claim of Chloe that Harper 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 Harper.", "Assume Harper is a knave. No contradiction is found in their false claim that If David is a knave then Logan is a knight.", "David cannot be a knight, because this would contradict the claim of Chloe that Harper is a knight if and only if David is a knight.", "Assume David is a knave. No contradiction is found in their false claim that Logan is a knight.", "Logan cannot be a knight, because this would contradict the false claim of Harper that If David is a knave then Logan is a knight.", "Assume Logan is a knave. No contradiction is found in their false claim that Chloe is a knight if and only if Chloe is a knave.", "Olivia cannot be a knight, because this would contradict the claim of their own that Logan is a knight if and only if Harper is a knave.", "Assume Olivia is a knave. No contradiction is found in their false claim that Logan is a knight if and only if Harper is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('telling-truth', 4)), ('->', ('lying', 4), ('telling-truth', 3)), ('<=>', ('telling-truth', 3), ('lying', 1)), ('<=>', ('telling-truth', 0), ('lying', 0)), ('telling-truth', 3))", "index": 91}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Sophia, Avery, Michael, Chloe, and Luke. \"Michael is a knave or Michael is a knight,\" Sophia mentioned. \"Sophia is a knight if and only if Chloe is a knight,\" Avery claimed. \"Luke is a knave,\" Michael declared. \"If Michael is a knight then Michael is a knave,\" Chloe declared. Luke said that Avery is a knave if and only if Michael is a knave. So who is a knight and who is a knave?", "names": ["Sophia", "Avery", "Michael", "Chloe", "Luke"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false, false], "solution_text": "Sophia is a knight, Avery is a knave, Michael is a knight, Chloe is a knave, and Luke is a knave.", "solution_text_format": "(1) Sophia is a knight\n(2) Avery is a knave\n(3) Michael is a knight\n(4) Chloe is a knave\n(5) 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 Sophia is a knight. No contradiction is found in their claim that Michael is a knave or Michael is a knight.", "Assume Michael 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 Michael that Luke is a knave.", "Assume Luke is a knave. No contradiction is found in their false claim that Avery is a knave if and only if Michael is a knave.", "Avery cannot be a knight, because this would contradict the false claim of Luke that Avery is a knave if and only if Michael is a knave.", "Assume Avery is a knave. No contradiction is found in their false claim that Sophia is a knight if and only if Chloe is a knight.", "Chloe cannot be a knight, because this would contradict the false claim of Avery that Sophia is a knight if and only if Chloe is a knight.", "Assume Chloe is a knave. No contradiction is found in their false claim that If Michael is a knight then Michael is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 2), ('telling-truth', 2)), ('<=>', ('telling-truth', 0), ('telling-truth', 3)), ('lying', 4), ('->', ('telling-truth', 2), ('lying', 2)), ('<=>', ('lying', 1), ('lying', 2)))", "index": 92}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Olivia, Grace, Daniel, Liam, and Amelia. \"Daniel is a knave if and only if Liam is a knave,\" Olivia declared. Grace commented, \"Daniel is not a knight\". \"Liam is a knave if and only if Daniel is a knight,\" Daniel mentioned. \"Daniel is a knave,\" Liam claimed. \"Olivia is a knight if and only if Daniel is a knight,\" Amelia mentioned. So who is a knight and who is a knave?", "names": ["Olivia", "Grace", "Daniel", "Liam", "Amelia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false, false], "solution_text": "Olivia is a knave, Grace is a knave, Daniel is a knight, Liam is a knave, and Amelia is a knave.", "solution_text_format": "(1) Olivia is a knave\n(2) Grace is a knave\n(3) Daniel is a knight\n(4) Liam is a knave\n(5) 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 Olivia is a knight. No contradiction is found in their claim that Daniel is a knave if and only if Liam is a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that Liam is a knave if and only if Daniel is a knight.", "Liam cannot be a knight, because this would contradict the claim of Daniel that Liam is a knave if and only if Daniel is a knight.", "Liam cannot be a knave, because this would contradict the claim of Olivia that Daniel is a knave if and only if Liam is a knave.", "We have exhausted all possibilities for Liam, so let us go back and reconsider Daniel.", "Assume Daniel is a knave. No contradiction is found in their false claim that Liam is a knave if and only if Daniel is a knight.", "Liam cannot be a knight, because this would contradict the claim of Olivia that Daniel is a knave if and only if Liam is a knave.", "Liam cannot be a knave, because this would contradict the false claim of their own that Daniel is a knave.", "We have exhausted all possibilities for Liam 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 a knave if and only if Liam is a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that Liam is a knave if and only if Daniel is a knight.", "Liam cannot be a knight, because this would contradict the false claim of Olivia that Daniel 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 Daniel is a knave.", "Grace cannot be a knight, because this would contradict the claim of their own that Daniel is not a knight.", "Assume Grace is a knave. No contradiction is found in their false claim that Daniel is not a knight.", "Amelia cannot be a knight, because this would contradict the claim of their own that Olivia is a knight if and only if Daniel is a knight.", "Assume Amelia is a knave. No contradiction is found in their false claim that Olivia is a knight if and only if Daniel is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 2), ('lying', 3)), ('not', ('telling-truth', 2)), ('<=>', ('lying', 3), ('telling-truth', 2)), ('lying', 2), ('<=>', ('telling-truth', 0), ('telling-truth', 2)))", "index": 93}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: David, Sofia, Matthew, Alexander, and Victoria. David stated, \"Sofia is not a knave\". \"David is a knight and Alexander is a knight,\" Sofia mentioned. \"Matthew is a knight if and only if David is a knight,\" Matthew declared. \"If Alexander is a knight then Matthew is a knight\" - Alexander. Victoria said that If Sofia is a knave then Victoria is a knight. So who is a knight and who is a knave?", "names": ["David", "Sofia", "Matthew", "Alexander", "Victoria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, true], "solution_text": "David is a knight, Sofia is a knight, Matthew is a knight, Alexander is a knight, and Victoria is a knight.", "solution_text_format": "(1) David is a knight\n(2) Sofia is a knight\n(3) Matthew is a knight\n(4) Alexander is a knight\n(5) 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 David is a knight. No contradiction is found in their claim that Sofia is not a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that David is a knight and Alexander is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that If Alexander is a knight then Matthew is a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that Matthew is a knight if and only if David is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that If Sofia is a knave then Victoria is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 1)), ('and', ('telling-truth', 0), ('telling-truth', 3)), ('<=>', ('telling-truth', 2), ('telling-truth', 0)), ('->', ('telling-truth', 3), ('telling-truth', 2)), ('->', ('lying', 1), ('telling-truth', 4)))", "index": 94}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Jackson, Ella, Alexander, Chloe, and Emma. Jackson asserted: \"Chloe is not a knave\". According to Ella, \"Alexander is a knave or Ella is a knight\". \"Ella is a knight or Chloe is a knave,\" Alexander declared. Chloe told you that If Jackson is a knave then Alexander is a knight. As Emma put it, \"If Ella is a knave then Alexander is a knight\". So who is a knight and who is a knave?", "names": ["Jackson", "Ella", "Alexander", "Chloe", "Emma"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, true], "solution_text": "Jackson is a knight, Ella is a knight, Alexander is a knight, Chloe is a knight, and Emma is a knight.", "solution_text_format": "(1) Jackson is a knight\n(2) Ella is a knight\n(3) Alexander is a knight\n(4) Chloe is a knight\n(5) 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 Jackson is a knight. No contradiction is found in their claim that Chloe is not a knave.", "Assume Chloe is a knight. No contradiction is found in their claim that If Jackson is a knave then Alexander is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that Ella is a knight or Chloe is a knave.", "Assume Ella is a knight. No contradiction is found in their claim that Alexander is a knave or Ella is a knight.", "Assume Emma is a knight. No contradiction is found in their claim that If Ella is a knave then Alexander is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 3)), ('or', ('lying', 2), ('telling-truth', 1)), ('or', ('telling-truth', 1), ('lying', 3)), ('->', ('lying', 0), ('telling-truth', 2)), ('->', ('lying', 1), ('telling-truth', 2)))", "index": 95}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Amelia, Lucas, Riley, Sofia, and Ava. As Amelia put it, \"Riley is a knave if and only if Sofia is a knight\". Lucas was heard saying, \"Amelia is a knave and Sofia is a knight\". \"If Riley is a knight then Sofia is a knight,\" Riley declared. Sofia said, \"Ava is a knight or Amelia is a knight.\" \"Sofia is a knight or Ava is a knight,\" Ava claimed. So who is a knight and who is a knave?", "names": ["Amelia", "Lucas", "Riley", "Sofia", "Ava"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, true], "solution_text": "Amelia is a knave, Lucas is a knight, Riley is a knight, Sofia is a knight, and Ava is a knight.", "solution_text_format": "(1) Amelia is a knave\n(2) Lucas is a knight\n(3) Riley is a knight\n(4) Sofia is a knight\n(5) Ava is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Amelia is a knight. No contradiction is found in their claim that Riley is a knave if and only if Sofia is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that If Riley is a knight then Sofia is a knight.", "Sofia cannot be a knight, because this would contradict the claim of Amelia that Riley is a knave if and only if Sofia is a knight.", "Sofia cannot be a knave, because this would contradict the claim of Riley that If Riley is a knight then Sofia is a knight.", "We have exhausted all possibilities for Sofia, so let us go back and reconsider Riley.", "Riley cannot be a knave, because this would contradict the false claim of their own that If Riley is a knight then Sofia is a knight.", "We have exhausted all possibilities for Riley, so let us go back and reconsider Amelia.", "Assume Amelia is a knave. No contradiction is found in their false claim that Riley is a knave if and only if Sofia is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that If Riley is a knight then Sofia is a knight.", "Assume Sofia is a knight. No contradiction is found in their claim that Ava is a knight or Amelia is a knight.", "Assume Ava is a knight. No contradiction is found in their claim that Sofia is a knight or Ava is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that Amelia is a knave and Sofia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 2), ('telling-truth', 3)), ('and', ('lying', 0), ('telling-truth', 3)), ('->', ('telling-truth', 2), ('telling-truth', 3)), ('or', ('telling-truth', 4), ('telling-truth', 0)), ('or', ('telling-truth', 3), ('telling-truth', 4)))", "index": 96}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Ava, Amelia, Jack, Penelope, and Liam. \"Jack is not a knave,\" Ava mentioned. In a statement by Amelia: \"Liam is not a knight\". Jack stated, \"Liam is not a knight\". Penelope said, \"Jack is a knight.\" In a statement by Liam: \"Ava is a knight or Amelia is a knave\". So who is a knight and who is a knave?", "names": ["Ava", "Amelia", "Jack", "Penelope", "Liam"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, false, true], "solution_text": "Ava is a knave, Amelia is a knave, Jack is a knave, Penelope is a knave, and Liam is a knight.", "solution_text_format": "(1) Ava is a knave\n(2) Amelia is a knave\n(3) Jack is a knave\n(4) Penelope is a knave\n(5) Liam is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ava is a knight. No contradiction is found in their claim that Jack is not a knave.", "Assume Jack 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 Jack that Liam is not a knight.", "Liam cannot be a knave, because this would contradict the false claim of their own that Ava is a knight or Amelia is a knave.", "We have exhausted all possibilities for Liam, so let us go back and reconsider Jack.", "Jack cannot be a knave, because this would contradict the claim of Ava that Jack is not a knave.", "We have exhausted all possibilities for Jack, so let us go back and reconsider Ava.", "Assume Ava 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 Ava that Jack is not a knave.", "Assume Jack 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 Ava is a knight or Amelia is a knave.", "Amelia cannot be a knight, because this would contradict the claim of their own that Liam is not a knight.", "Assume Amelia is a knave. No contradiction is found in their false claim that Liam is not a knight.", "Penelope cannot be a knight, because this would contradict the claim of their own that Jack is a knight.", "Assume Penelope 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": "(('not', ('lying', 2)), ('not', ('telling-truth', 4)), ('not', ('telling-truth', 4)), ('telling-truth', 2), ('or', ('telling-truth', 0), ('lying', 1)))", "index": 97}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Alexander, Mason, William, Luke, and Scarlett. Alexander told you that If Mason is a knave then Scarlett is a knight. According to Mason, \"William is a knight or Scarlett is a knave\". \"Mason is a knight,\" William claimed. According to Luke, \"If Scarlett is a knight then William is a knight\". As Scarlett put it, \"William is a knight if and only if William is a knave\". So who is a knight and who is a knave?", "names": ["Alexander", "Mason", "William", "Luke", "Scarlett"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, false], "solution_text": "Alexander is a knight, Mason is a knight, William is a knight, Luke is a knight, and Scarlett is a knave.", "solution_text_format": "(1) Alexander is a knight\n(2) Mason is a knight\n(3) William is a knight\n(4) Luke is a knight\n(5) 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 Alexander is a knight. No contradiction is found in their claim that If Mason is a knave then Scarlett is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that William is a knight or Scarlett is a knave.", "Assume William is a knight. No contradiction is found in their claim that Mason is a knight.", "Scarlett 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 Scarlett 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 Luke is a knight. No contradiction is found in their claim that If Scarlett is a knight then William is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 1), ('telling-truth', 4)), ('or', ('telling-truth', 2), ('lying', 4)), ('telling-truth', 1), ('->', ('telling-truth', 4), ('telling-truth', 2)), ('<=>', ('telling-truth', 2), ('lying', 2)))", "index": 98}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Alexander, Luke, Jackson, Charlotte, and Harper. \"Harper is not a knight\" - Alexander. As Luke put it, \"If Luke is a knight then Charlotte is a knight\". \"Alexander is a knight\" - Jackson. Charlotte was heard saying, \"Charlotte is a knight\". Harper expressed that Harper is a knight or Jackson is a knight. So who is a knight and who is a knave?", "names": ["Alexander", "Luke", "Jackson", "Charlotte", "Harper"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true, true], "solution_text": "Alexander is a knave, Luke is a knight, Jackson is a knave, Charlotte is a knight, and Harper is a knight.", "solution_text_format": "(1) Alexander is a knave\n(2) Luke is a knight\n(3) Jackson is a knave\n(4) Charlotte is a knight\n(5) 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 Alexander 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 Alexander that Harper is not a knight.", "Assume Harper is a knave. No contradiction is found in their false claim that Harper is a knight or Jackson is a knight.", "Jackson cannot be a knight, because this would contradict the false claim of Harper that Harper is a knight or Jackson is a knight.", "Jackson cannot be a knave, because this would contradict the false claim of their own that Alexander is a knight.", "We have exhausted all possibilities for Jackson and Harper, so let us go back and reconsider Alexander.", "Assume Alexander 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 Harper is a knight or Jackson is a knight.", "Jackson cannot be a knight, because this would contradict the claim of their own that Alexander is a knight.", "Assume Jackson is a knave. No contradiction is found in their false claim that Alexander is a knight.", "Assume Luke is a knight. No contradiction is found in their claim that If Luke is a knight then Charlotte is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that Charlotte is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 4)), ('->', ('telling-truth', 1), ('telling-truth', 3)), ('telling-truth', 0), ('telling-truth', 3), ('or', ('telling-truth', 4), ('telling-truth', 2)))", "index": 99}