| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Ethan, and Luke. In a statement by Ethan: \"Luke is a knave if and only if Ethan is a knight\". Luke noted, \"If Ethan is a knight then Luke is a knight\". So who is a knight and who is a knave?", "names": ["Ethan", "Luke"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false], "solution_text": "Ethan is a knight, and Luke is a knave.", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": "Assume Ethan is a knight. No contradiction is found in their claim that Luke is a knave if and only if Ethan is a knight. Luke cannot be a knight, because this would contradict the claim of Ethan that Luke is a knave if and only if Ethan is a knight. Assume Luke is a knave. No contradiction is found in their false claim that If Ethan is a knight then Luke is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('telling-truth', 0)), ('->', ('telling-truth', 0), ('telling-truth', 1)))", "index": 300, "solution_text_format": "(1) Ethan is a knight\n(2) Luke is a knave"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Chloe, and Aria. Chloe noted, \"Chloe is a knight if and only if Aria is a knight\". Aria remarked, \"Chloe is not a knave\". So who is a knight and who is a knave?", "names": ["Chloe", "Aria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true], "solution_text": "Chloe is a knight, and 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 Chloe is a knight. No contradiction is found in their claim that Chloe is a knight if and only if Aria is a knight. Assume Aria is a knight. No contradiction is found in their claim that Chloe is not a knave.", "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 0), ('telling-truth', 1)), ('not', ('lying', 0)))", "index": 301, "solution_text_format": "(1) Chloe is a knight\n(2) Aria is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Olivia, and Riley. In a statement by Olivia: \"Olivia is a knight or Riley is a knave\". Riley noted, \"Olivia is a knight and Olivia is a knight\". So who is a knight and who is a knave?", "names": ["Olivia", "Riley"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true], "solution_text": "Olivia is a knight, and 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 Olivia is a knight. No contradiction is found in their claim that Olivia is a knight or Riley is a knave. Assume Riley is a knight. No contradiction is found in their claim that Olivia is a knight and Olivia is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 0), ('lying', 1)), ('and', ('telling-truth', 0), ('telling-truth', 0)))", "index": 303, "solution_text_format": "(1) Olivia is a knight\n(2) Riley is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Liam, and Elizabeth. Liam expressed that Elizabeth is a knight if and only if Elizabeth is a knight. Elizabeth expressed that Elizabeth is a knight and Liam is a knave. So who is a knight and who is a knave?", "names": ["Liam", "Elizabeth"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false], "solution_text": "Liam is a knight, and 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 Liam is a knight. No contradiction is found in their claim that Elizabeth is a knight if and only if Elizabeth is a knight. Elizabeth cannot be a knight, because this would contradict the claim of their own that Elizabeth is a knight and Liam is a knave. Assume Elizabeth is a knave. No contradiction is found in their false claim that Elizabeth is a knight and Liam is a knave.", "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('telling-truth', 1)), ('and', ('telling-truth', 1), ('lying', 0)))", "index": 304, "solution_text_format": "(1) Liam is a knight\n(2) Elizabeth is a knave"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Aria, and Abigail. \"Abigail is a knight or Abigail is a knave,\" Aria declared. Abigail was heard saying, \"If Aria is a knight then Aria is a knight\". So who is a knight and who is a knave?", "names": ["Aria", "Abigail"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true], "solution_text": "Aria is a knight, and 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 Aria is a knight. No contradiction is found in their claim that Abigail is a knight or Abigail is a knave. Assume Abigail is a knight. No contradiction is found in their claim that If Aria is a knight then Aria is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 1), ('lying', 1)), ('->', ('telling-truth', 0), ('telling-truth', 0)))", "index": 305, "solution_text_format": "(1) Aria is a knight\n(2) Abigail is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Oliver, and David. Oliver said that David is a knight and David is a knave. As David put it, \"Oliver is not a knight\". So who is a knight and who is a knave?", "names": ["Oliver", "David"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true], "solution_text": "Oliver is a knave, and 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": "Oliver cannot be a knight, because this would contradict the claim of their own that David is a knight and David is a knave. Assume Oliver is a knave. No contradiction is found in their false claim that David is a knight and David is a knave. Assume David is a knight. No contradiction is found in their claim that Oliver is not a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('lying', 1)), ('not', ('telling-truth', 0)))", "index": 307, "solution_text_format": "(1) Oliver is a knave\n(2) David is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Chloe, and Olivia. In a statement by Chloe: \"Chloe is a knight or Olivia is a knight\". Olivia asserted: \"Chloe is a knave or Chloe is a knave\". So who is a knight and who is a knave?", "names": ["Chloe", "Olivia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false], "solution_text": "Chloe is a knight, and 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 Chloe is a knight. No contradiction is found in their claim that Chloe is a knight or Olivia is a knight. Olivia cannot be a knight, because this would contradict the claim of their own that Chloe is a knave or Chloe is a knave. Assume Olivia is a knave. No contradiction is found in their false claim that Chloe is a knave or Chloe is a knave.", "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 0), ('telling-truth', 1)), ('or', ('lying', 0), ('lying', 0)))", "index": 308, "solution_text_format": "(1) Chloe is a knight\n(2) Olivia is a knave"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Samuel, and Owen. In Samuel's words: \"Owen is a knave if and only if Owen is a knight\". Owen noted, \"Samuel is not a knave\". So who is a knight and who is a knave?", "names": ["Samuel", "Owen"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false], "solution_text": "Samuel is a knave, and 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": "Samuel cannot be a knight, because this would contradict the claim of their own that Owen is a knave if and only if Owen is a knight. Assume Samuel is a knave. No contradiction is found in their false claim that Owen is a knave if and only if Owen is a knight. Owen cannot be a knight, because this would contradict the claim of their own that Samuel is not a knave. Assume Owen is a knave. No contradiction is found in their false claim that Samuel is not a knave.", "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('telling-truth', 1)), ('not', ('lying', 0)))", "index": 309, "solution_text_format": "(1) Samuel is a knave\n(2) Owen is a knave"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Chloe, and Daniel. Chloe remarked, \"Chloe is a knight if and only if Daniel is a knave\". Daniel told you that Daniel is a knight or Chloe is a knave. So who is a knight and who is a knave?", "names": ["Chloe", "Daniel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false], "solution_text": "Chloe is a knight, and 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 Chloe is a knight. No contradiction is found in their claim that Chloe is a knight if and only if Daniel is a knave. Daniel cannot be a knight, because this would contradict the claim of Chloe that Chloe is a knight if and only if Daniel is a knave. Assume Daniel is a knave. No contradiction is found in their false claim that Daniel is a knight or Chloe is a knave.", "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 0), ('lying', 1)), ('or', ('telling-truth', 1), ('lying', 0)))", "index": 310, "solution_text_format": "(1) Chloe is a knight\n(2) Daniel is a knave"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Charlotte, and Mason. According to Charlotte, \"Mason is a knight and Charlotte is a knight\". \"Mason is a knight if and only if Charlotte is a knight\" - Mason. So who is a knight and who is a knave?", "names": ["Charlotte", "Mason"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true], "solution_text": "Charlotte is a knight, and Mason is a knight.", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": "Assume Charlotte is a knight. No contradiction is found in their claim that Mason is a knight and Charlotte is a knight. Assume Mason is a knight. No contradiction is found in their claim that Mason is a knight if and only if Charlotte is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('telling-truth', 0)), ('<=>', ('telling-truth', 1), ('telling-truth', 0)))", "index": 311, "solution_text_format": "(1) Charlotte is a knight\n(2) Mason is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Sofia, and Benjamin. According to Sofia, \"Benjamin is a knight if and only if Sofia is a knight\". \"Sofia is a knight and Benjamin is a knight,\" Benjamin claimed. So who is a knight and who is a knave?", "names": ["Sofia", "Benjamin"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true], "solution_text": "Sofia is a knight, and Benjamin is a knight.", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": "Assume Sofia is a knight. No contradiction is found in their claim that Benjamin is a knight if and only if Sofia is a knight. Assume Benjamin is a knight. No contradiction is found in their claim that Sofia is a knight and Benjamin is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('telling-truth', 0)), ('and', ('telling-truth', 0), ('telling-truth', 1)))", "index": 312, "solution_text_format": "(1) Sofia is a knight\n(2) Benjamin is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Grace, and Emma. \"Emma is a knight and Grace is a knight,\" Grace claimed. Emma expressed that Grace is a knight if and only if Emma is a knight. So who is a knight and who is a knave?", "names": ["Grace", "Emma"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true], "solution_text": "Grace is a knight, and 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 Grace is a knight. No contradiction is found in their claim that Emma is a knight and Grace is a knight. Assume Emma is a knight. No contradiction is found in their claim that Grace is a knight if and only if Emma is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('telling-truth', 0)), ('<=>', ('telling-truth', 0), ('telling-truth', 1)))", "index": 313, "solution_text_format": "(1) Grace is a knight\n(2) Emma is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Lily, and William. Lily stated, \"William is a knight or William is a knight\". William said, \"William is a knight and Lily is a knave.\" So who is a knight and who is a knave?", "names": ["Lily", "William"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false], "solution_text": "Lily is a knave, and William is a knave.", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": "Assume Lily is a knight. No contradiction is found in their claim that William is a knight or William is a knight. William cannot be a knight, because this would contradict the claim of their own that William is a knight and Lily is a knave. William cannot be a knave, because this would contradict the claim of Lily that William is a knight or William is a knight. We have exhausted all possibilities for William, so let us go back and reconsider Lily. Assume Lily is a knave. No contradiction is found in their false claim that William is a knight or William is a knight. William cannot be a knight, because this would contradict the false claim of Lily that William is a knight or William is a knight. Assume William is a knave. No contradiction is found in their false claim that William is a knight and Lily is a knave.", "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 1), ('telling-truth', 1)), ('and', ('telling-truth', 1), ('lying', 0)))", "index": 314, "solution_text_format": "(1) Lily is a knave\n(2) William is a knave"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Oliver, and Sofia. Oliver stated, \"Sofia is a knight and Sofia is a knave\". Sofia noted, \"Oliver is a knight or Oliver is a knight\". So who is a knight and who is a knave?", "names": ["Oliver", "Sofia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false], "solution_text": "Oliver is a knave, and Sofia is a knave.", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": "Oliver cannot be a knight, because this would contradict the claim of their own that Sofia is a knight and Sofia is a knave. Assume Oliver is a knave. No contradiction is found in their false claim that Sofia is a knight and Sofia is a knave. Sofia cannot be a knight, because this would contradict the claim of their own that Oliver is a knight or Oliver is a knight. Assume Sofia is a knave. No contradiction is found in their false claim that Oliver is a knight or Oliver is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('lying', 1)), ('or', ('telling-truth', 0), ('telling-truth', 0)))", "index": 317, "solution_text_format": "(1) Oliver is a knave\n(2) Sofia is a knave"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Ella, and Ethan. \"Ella is a knight if and only if Ethan is a knight,\" Ella mentioned. According to Ethan, \"Ella is a knight\". So who is a knight and who is a knave?", "names": ["Ella", "Ethan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true], "solution_text": "Ella is a knight, and Ethan is a knight.", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": "Assume Ella is a knight. No contradiction is found in their claim that Ella is a knight if and only if Ethan is a knight. Assume Ethan is a knight. No contradiction is found in their claim that Ella is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 0), ('telling-truth', 1)), ('telling-truth', 0))", "index": 319, "solution_text_format": "(1) Ella is a knight\n(2) Ethan is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Oliver, and Aiden. \"Oliver is a knight if and only if Aiden is a knight\" - Oliver. Aiden noted, \"Aiden is a knight and Oliver is a knight\". So who is a knight and who is a knave?", "names": ["Oliver", "Aiden"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true], "solution_text": "Oliver is a knight, and Aiden is a knight.", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": "Assume Oliver is a knight. No contradiction is found in their claim that Oliver is a knight if and only if Aiden is a knight. Assume Aiden is a knight. No contradiction is found in their claim that Aiden is a knight and Oliver is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 0), ('telling-truth', 1)), ('and', ('telling-truth', 1), ('telling-truth', 0)))", "index": 320, "solution_text_format": "(1) Oliver is a knight\n(2) Aiden is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Zoey, and Scarlett. Zoey was heard saying, \"Scarlett is a knight and Scarlett is a knight\". Scarlett remarked, \"Scarlett is a knight or Zoey is a knave\". So who is a knight and who is a knave?", "names": ["Zoey", "Scarlett"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true], "solution_text": "Zoey is a knight, and 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 Scarlett is a knight and Scarlett is a knight. Assume Scarlett is a knight. No contradiction is found in their claim that Scarlett is a knight or Zoey is a knave.", "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('telling-truth', 1)), ('or', ('telling-truth', 1), ('lying', 0)))", "index": 321, "solution_text_format": "(1) Zoey is a knight\n(2) Scarlett is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Oliver, and Abigail. In a statement by Oliver: \"Abigail is a knave and Abigail is a knight\". \"Oliver is a knave if and only if Oliver is a knave,\" Abigail mentioned. So who is a knight and who is a knave?", "names": ["Oliver", "Abigail"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true], "solution_text": "Oliver is a knave, and 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": "Oliver cannot be a knight, because this would contradict the claim of their own that Abigail is a knave and Abigail is a knight. Assume Oliver is a knave. No contradiction is found in their false claim that Abigail is a knave and Abigail is a knight. Assume Abigail is a knight. No contradiction is found in their claim that Oliver is a knave if and only if Oliver is a knave.", "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('telling-truth', 1)), ('<=>', ('lying', 0), ('lying', 0)))", "index": 323, "solution_text_format": "(1) Oliver is a knave\n(2) Abigail is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Amelia, and Emily. Amelia told you that Amelia is a knight if and only if Emily is a knight. Emily commented, \"If Emily is a knight then Amelia is a knight\". So who is a knight and who is a knave?", "names": ["Amelia", "Emily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true], "solution_text": "Amelia is a knight, and Emily is a knight.", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": "Assume Amelia is a knight. No contradiction is found in their claim that Amelia is a knight if and only if Emily is a knight. Assume Emily is a knight. No contradiction is found in their claim that If Emily is a knight then Amelia is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 0), ('telling-truth', 1)), ('->', ('telling-truth', 1), ('telling-truth', 0)))", "index": 324, "solution_text_format": "(1) Amelia is a knight\n(2) Emily is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Matthew, and Alexander. Matthew was heard saying, \"Alexander is a knight if and only if Alexander is a knave\". Alexander told you that Matthew is a knave or Alexander is a knight. So who is a knight and who is a knave?", "names": ["Matthew", "Alexander"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true], "solution_text": "Matthew is a knave, and Alexander is a knight.", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": "Matthew cannot be a knight, because this would contradict the claim of their own that Alexander is a knight if and only if Alexander is a knave. Assume Matthew is a knave. No contradiction is found in their false claim that Alexander is a knight if and only if Alexander is a knave. Assume Alexander is a knight. No contradiction is found in their claim that Matthew is a knave or Alexander is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('lying', 1)), ('or', ('lying', 0), ('telling-truth', 1)))", "index": 326, "solution_text_format": "(1) Matthew is a knave\n(2) Alexander is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: James, and Elizabeth. James stated, \"Elizabeth is a knight\". \"James is a knight or James is a knave\" - Elizabeth. So who is a knight and who is a knave?", "names": ["James", "Elizabeth"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true], "solution_text": "James is a knight, and Elizabeth is a knight.", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": "Assume James is a knight. No contradiction is found in their claim that Elizabeth is a knight. Assume Elizabeth is a knight. No contradiction is found in their claim that James is a knight or James is a knave.", "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 1), ('or', ('telling-truth', 0), ('lying', 0)))", "index": 327, "solution_text_format": "(1) James is a knight\n(2) Elizabeth is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Ava, and Noah. \"Noah is a knight\" - Ava. \"Ava is a knight if and only if Noah is a knight,\" Noah declared. So who is a knight and who is a knave?", "names": ["Ava", "Noah"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true], "solution_text": "Ava is a knight, and Noah is a knight.", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": "Assume Ava is a knight. No contradiction is found in their claim that Noah is a knight. Assume Noah is a knight. No contradiction is found in their claim that Ava is a knight if and only if Noah is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 1), ('<=>', ('telling-truth', 0), ('telling-truth', 1)))", "index": 328, "solution_text_format": "(1) Ava is a knight\n(2) Noah is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Joseph, and Evelyn. \"If Evelyn is a knave then Evelyn is a knave,\" Joseph claimed. As Evelyn put it, \"Joseph is a knight and Joseph is a knave\". So who is a knight and who is a knave?", "names": ["Joseph", "Evelyn"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false], "solution_text": "Joseph is a knight, and Evelyn is a knave.", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": "Assume Joseph is a knight. No contradiction is found in their claim that If Evelyn is a knave then Evelyn is a knave. Evelyn cannot be a knight, because this would contradict the claim of their own that Joseph is a knight and Joseph is a knave. Assume Evelyn is a knave. No contradiction is found in their false claim that Joseph is a knight and Joseph is a knave.", "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 1), ('lying', 1)), ('and', ('telling-truth', 0), ('lying', 0)))", "index": 329, "solution_text_format": "(1) Joseph is a knight\n(2) Evelyn is a knave"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Mia, and Daniel. \"Mia is a knight and Daniel is a knight,\" Mia claimed. According to Daniel, \"Mia is a knave if and only if Mia is a knight\". So who is a knight and who is a knave?", "names": ["Mia", "Daniel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false], "solution_text": "Mia is a knave, and 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 Mia is a knight. No contradiction is found in their claim that Mia is a knight and Daniel is a knight. Daniel cannot be a knight, because this would contradict the claim of their own that Mia is a knave if and only if Mia is a knight. Daniel cannot be a knave, because this would contradict the claim of Mia that Mia is a knight and Daniel is a knight. We have exhausted all possibilities for Daniel, so let us go back and reconsider Mia. Assume Mia is a knave. No contradiction is found in their false claim that Mia is a knight and Daniel is a knight. Daniel cannot be a knight, because this would contradict the claim of their own that Mia is a knave if and only if Mia is a knight. Assume Daniel is a knave. No contradiction is found in their false claim that Mia is a knave if and only if Mia is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 0), ('telling-truth', 1)), ('<=>', ('lying', 0), ('telling-truth', 0)))", "index": 331, "solution_text_format": "(1) Mia is a knave\n(2) Daniel is a knave"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Aiden, and Sophia. Aiden was heard saying, \"Sophia is a knight if and only if Sophia is a knave\". According to Sophia, \"Aiden is a knight and Sophia is a knight\". So who is a knight and who is a knave?", "names": ["Aiden", "Sophia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false], "solution_text": "Aiden is a knave, and Sophia is a knave.", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": "Aiden cannot be a knight, because this would contradict the claim of their own that Sophia is a knight if and only if Sophia is a knave. Assume Aiden is a knave. No contradiction is found in their false claim that Sophia is a knight if and only if Sophia is a knave. Sophia cannot be a knight, because this would contradict the claim of their own that Aiden is a knight and Sophia is a knight. Assume Sophia is a knave. No contradiction is found in their false claim that Aiden is a knight and Sophia is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('lying', 1)), ('and', ('telling-truth', 0), ('telling-truth', 1)))", "index": 333, "solution_text_format": "(1) Aiden is a knave\n(2) Sophia is a knave"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Henry, and Charlotte. According to Henry, \"Charlotte is a knight or Charlotte is a knight\". Charlotte commented, \"Henry is a knight and Henry is a knave\". So who is a knight and who is a knave?", "names": ["Henry", "Charlotte"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false], "solution_text": "Henry is a knave, and Charlotte is a knave.", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": "Assume Henry is a knight. No contradiction is found in their claim that Charlotte is a knight or Charlotte is a knight. Charlotte cannot be a knight, because this would contradict the claim of their own that Henry is a knight and Henry is a knave. Charlotte cannot be a knave, because this would contradict the claim of Henry that Charlotte is a knight or Charlotte is a knight. We have exhausted all possibilities for Charlotte, so let us go back and reconsider Henry. Assume Henry is a knave. No contradiction is found in their false claim that Charlotte is a knight or Charlotte is a knight. Charlotte cannot be a knight, because this would contradict the false claim of Henry that Charlotte is a knight or Charlotte is a knight. Assume Charlotte is a knave. No contradiction is found in their false claim that Henry is a knight and Henry is a knave.", "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 1), ('telling-truth', 1)), ('and', ('telling-truth', 0), ('lying', 0)))", "index": 334, "solution_text_format": "(1) Henry is a knave\n(2) Charlotte is a knave"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Scarlett, and Benjamin. Scarlett stated, \"Scarlett is a knight and Benjamin is a knight\". Benjamin commented, \"Benjamin is a knight if and only if Scarlett is a knight\". So who is a knight and who is a knave?", "names": ["Scarlett", "Benjamin"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true], "solution_text": "Scarlett is a knight, and Benjamin is a knight.", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": "Assume Scarlett is a knight. No contradiction is found in their claim that Scarlett is a knight and Benjamin is a knight. Assume Benjamin is a knight. No contradiction is found in their claim that Benjamin is a knight if and only if Scarlett is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 0), ('telling-truth', 1)), ('<=>', ('telling-truth', 1), ('telling-truth', 0)))", "index": 335, "solution_text_format": "(1) Scarlett is a knight\n(2) Benjamin is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Riley, and Joseph. According to Riley, \"Joseph is a knave and Joseph is a knave\". As Joseph put it, \"Riley is a knave and Riley is a knight\". So who is a knight and who is a knave?", "names": ["Riley", "Joseph"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false], "solution_text": "Riley is a knight, and 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 Riley is a knight. No contradiction is found in their claim that Joseph is a knave and Joseph is a knave. Joseph cannot be a knight, because this would contradict the claim of Riley that Joseph is a knave and Joseph is a knave. Assume Joseph is a knave. No contradiction is found in their false claim that Riley is a knave and Riley is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('lying', 1)), ('and', ('lying', 0), ('telling-truth', 0)))", "index": 339, "solution_text_format": "(1) Riley is a knight\n(2) Joseph is a knave"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Henry, and Jacob. Henry said, \"Jacob is a knave and Jacob is a knight.\" In Jacob's words: \"Henry is a knave\". So who is a knight and who is a knave?", "names": ["Henry", "Jacob"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true], "solution_text": "Henry is a knave, and 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": "Henry cannot be a knight, because this would contradict the claim of their own that Jacob is a knave and Jacob is a knight. Assume Henry is a knave. No contradiction is found in their false claim that Jacob is a knave and Jacob is a knight. Assume Jacob is a knight. No contradiction is found in their claim that Henry is a knave.", "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('telling-truth', 1)), ('lying', 0))", "index": 340, "solution_text_format": "(1) Henry is a knave\n(2) Jacob is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Emma, and Alexander. Emma stated, \"Alexander is a knight or Emma is a knight\". Alexander asserted: \"Emma is a knave if and only if Emma is a knave\". So who is a knight and who is a knave?", "names": ["Emma", "Alexander"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true], "solution_text": "Emma is a knight, and Alexander is a knight.", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": "Assume Emma is a knight. No contradiction is found in their claim that Alexander is a knight or Emma is a knight. Assume Alexander is a knight. No contradiction is found in their claim that Emma is a knave if and only if Emma is a knave.", "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 1), ('telling-truth', 0)), ('<=>', ('lying', 0), ('lying', 0)))", "index": 341, "solution_text_format": "(1) Emma is a knight\n(2) Alexander is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Riley, and Oliver. Riley was heard saying, \"Oliver is a knave if and only if Riley is a knight\". \"If Riley is a knight then Riley is a knave,\" Oliver declared. So who is a knight and who is a knave?", "names": ["Riley", "Oliver"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false], "solution_text": "Riley is a knight, and 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 Riley is a knight. No contradiction is found in their claim that Oliver is a knave if and only if Riley is a knight. Oliver cannot be a knight, because this would contradict the claim of Riley that Oliver is a knave if and only if Riley is a knight. Assume Oliver is a knave. No contradiction is found in their false claim that If Riley is a knight then Riley is a knave.", "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('telling-truth', 0)), ('->', ('telling-truth', 0), ('lying', 0)))", "index": 342, "solution_text_format": "(1) Riley is a knight\n(2) Oliver is a knave"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Noah, and James. \"Noah is a knight if and only if James is a knave\" - Noah. \"Noah is a knave or James is a knight,\" James claimed. So who is a knight and who is a knave?", "names": ["Noah", "James"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false], "solution_text": "Noah is a knight, and 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 Noah is a knight. No contradiction is found in their claim that Noah is a knight if and only if James is a knave. James cannot be a knight, because this would contradict the claim of Noah that Noah is a knight if and only if James is a knave. Assume James is a knave. No contradiction is found in their false claim that Noah is a knave or James is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 0), ('lying', 1)), ('or', ('lying', 0), ('telling-truth', 1)))", "index": 343, "solution_text_format": "(1) Noah is a knight\n(2) James is a knave"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Benjamin, and David. Benjamin commented, \"Benjamin is a knight if and only if David is a knave\". In a statement by David: \"If Benjamin is a knight then David is a knight\". So who is a knight and who is a knave?", "names": ["Benjamin", "David"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false], "solution_text": "Benjamin is a knight, and 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 Benjamin is a knight. No contradiction is found in their claim that Benjamin is a knight if and only if David is a knave. David cannot be a knight, because this would contradict the claim of Benjamin that Benjamin is a knight if and only if David is a knave. Assume David is a knave. No contradiction is found in their false claim that If Benjamin is a knight then David is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 0), ('lying', 1)), ('->', ('telling-truth', 0), ('telling-truth', 1)))", "index": 344, "solution_text_format": "(1) Benjamin is a knight\n(2) David is a knave"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Mason, and Amelia. According to Mason, \"Amelia is a knave if and only if Amelia is a knight\". \"Mason is a knave or Amelia is a knight,\" Amelia declared. So who is a knight and who is a knave?", "names": ["Mason", "Amelia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true], "solution_text": "Mason is a knave, and Amelia is a knight.", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": "Mason cannot be a knight, because this would contradict the claim of their own that Amelia is a knave if and only if Amelia is a knight. Assume Mason is a knave. No contradiction is found in their false claim that Amelia is a knave if and only if Amelia is a knight. Assume Amelia is a knight. No contradiction is found in their claim that Mason is a knave or Amelia is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('telling-truth', 1)), ('or', ('lying', 0), ('telling-truth', 1)))", "index": 345, "solution_text_format": "(1) Mason is a knave\n(2) Amelia is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Mason, and Sofia. Mason noted, \"Sofia is a knight if and only if Sofia is a knave\". \"Mason is a knave and Mason is a knave,\" Sofia mentioned. So who is a knight and who is a knave?", "names": ["Mason", "Sofia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true], "solution_text": "Mason is a knave, and 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": "Mason cannot be a knight, because this would contradict the claim of their own that Sofia is a knight if and only if Sofia is a knave. Assume Mason is a knave. No contradiction is found in their false claim that Sofia is a knight if and only if Sofia is a knave. Assume Sofia is a knight. No contradiction is found in their claim that Mason is a knave and Mason is a knave.", "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('lying', 1)), ('and', ('lying', 0), ('lying', 0)))", "index": 346, "solution_text_format": "(1) Mason is a knave\n(2) Sofia is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Mia, and Riley. \"Riley is a knave if and only if Mia is a knight\" - Mia. In a statement by Riley: \"If Mia is a knight then Riley is a knight\". So who is a knight and who is a knave?", "names": ["Mia", "Riley"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false], "solution_text": "Mia is a knight, and 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 Mia is a knight. No contradiction is found in their claim that Riley is a knave if and only if Mia is a knight. Riley cannot be a knight, because this would contradict the claim of Mia that Riley is a knave if and only if Mia is a knight. Assume Riley is a knave. No contradiction is found in their false claim that If Mia is a knight then Riley is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('telling-truth', 0)), ('->', ('telling-truth', 0), ('telling-truth', 1)))", "index": 348, "solution_text_format": "(1) Mia is a knight\n(2) Riley is a knave"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: James, and Owen. James expressed that Owen is a knight and Owen is a knave. \"James is a knave and James is a knave\" - Owen. So who is a knight and who is a knave?", "names": ["James", "Owen"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true], "solution_text": "James is a knave, and 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": "James cannot be a knight, because this would contradict the claim of their own that Owen is a knight and Owen is a knave. Assume James is a knave. No contradiction is found in their false claim that Owen is a knight and Owen is a knave. Assume Owen is a knight. No contradiction is found in their claim that James is a knave and James is a knave.", "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('lying', 1)), ('and', ('lying', 0), ('lying', 0)))", "index": 349, "solution_text_format": "(1) James is a knave\n(2) Owen is a knight"} | |