diff --git "a/train/clean/people5_num1000.jsonl" "b/train/clean/people5_num1000.jsonl"
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@@ -1,1000 +0,0 @@
-{"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: Aurora, Ethan, Noah, Aria, and Abigail. \"Abigail is not a knave\" - Aurora. Ethan remarked, \"Abigail is a knave or Aria is a knave\". According to Noah, \"Aria is a knave\". Aria told you that Aurora is a knave if and only if Noah is a knight. Abigail said that Noah is a knight. So who is a knight and who is a knave?", "names": ["Aurora", "Ethan", "Noah", "Aria", "Abigail"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false, true], "solution_text": "Aurora is a knight, Ethan is a knight, Noah is a knight, Aria is a knave, and Abigail is a knight.", "solution_text_format": "(1) Aurora is a knight\n(2) Ethan is a knight\n(3) Noah is a knight\n(4) Aria 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 Aurora 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 Noah is a knight.", "Assume Noah is a knight. No contradiction is found in their claim that Aria is a knave.", "Aria cannot be a knight, because this would contradict the claim of Noah that Aria is a knave.", "Assume Aria is a knave. No contradiction is found in their false claim that Aurora is a knave if and only if Noah is a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that Abigail is a knave or Aria is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 4)), ('or', ('lying', 4), ('lying', 3)), ('lying', 3), ('<=>', ('lying', 0), ('telling-truth', 2)), ('telling-truth', 2))", "index": 100}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Abigail, Mason, Elizabeth, Emily, and Sophia. \"Sophia is a knave or Elizabeth is a knight,\" Abigail declared. \"Sophia is a knight,\" Mason mentioned. \"Abigail is not a knight,\" Elizabeth claimed. In a statement by Emily: \"Abigail is a knight or Elizabeth is a knight\". As Sophia put it, \"If Emily is a knight then Emily is a knave\". So who is a knight and who is a knave?", "names": ["Abigail", "Mason", "Elizabeth", "Emily", "Sophia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, false], "solution_text": "Abigail is a knight, Mason is a knave, Elizabeth is a knave, Emily is a knight, and Sophia is a knave.", "solution_text_format": "(1) Abigail is a knight\n(2) Mason is a knave\n(3) Elizabeth is a knave\n(4) Emily is a knight\n(5) Sophia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Abigail is a knight. No contradiction is found in their claim that Sophia is a knave or Elizabeth is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that If Emily is a knight then Emily is a knave.", "Emily cannot be a knight, because this would contradict the claim of Sophia that If Emily is a knight then Emily is a knave.", "Emily cannot be a knave, because this would contradict the false claim of their own that Abigail is a knight or Elizabeth is a knight.", "We have exhausted all possibilities for 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 Emily is a knave.", "Assume Emily is a knight. No contradiction is found in their claim that Abigail is a knight or Elizabeth is a knight.", "Elizabeth cannot be a knight, because this would contradict the claim of their own that Abigail is not a knight.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Abigail is not a knight.", "Mason cannot be a knight, because this would contradict the claim of their own that Sophia is a knight.", "Assume Mason is a knave. No contradiction is found in their false claim that Sophia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 4), ('telling-truth', 2)), ('telling-truth', 4), ('not', ('telling-truth', 0)), ('or', ('telling-truth', 0), ('telling-truth', 2)), ('->', ('telling-truth', 3), ('lying', 3)))", "index": 101}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Penelope, Lucas, Amelia, Emily, and Zoey. Penelope asserted: \"Lucas is a knight or Amelia is a knight\". In a statement by Lucas: \"If Lucas is a knight then Zoey is a knave\". Amelia remarked, \"Emily is a knave\". Emily noted, \"Penelope is a knave and Zoey is a knave\". Zoey told you that Emily is a knight and Emily is a knave. So who is a knight and who is a knave?", "names": ["Penelope", "Lucas", "Amelia", "Emily", "Zoey"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false, false], "solution_text": "Penelope is a knight, Lucas is a knight, Amelia is a knight, Emily is a knave, and Zoey is a knave.", "solution_text_format": "(1) Penelope is a knight\n(2) Lucas is a knight\n(3) Amelia is a knight\n(4) Emily is a knave\n(5) Zoey is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Penelope is a knight. No contradiction is found in their claim that Lucas is a knight or Amelia is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that If Lucas is a knight then Zoey is a knave.", "Zoey cannot be a knight, because this would contradict the claim of Lucas that If Lucas is a knight then Zoey is a knave.", "Assume Zoey is a knave. No contradiction is found in their false claim that Emily is a knight and Emily is a knave.", "Emily cannot be a knight, because this would contradict the claim of their own that Penelope is a knave and Zoey is a knave.", "Assume Emily is a knave. No contradiction is found in their false claim that Penelope is a knave and Zoey is a knave.", "Assume Amelia is a knight. No contradiction is found in their claim that Emily is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 1), ('telling-truth', 2)), ('->', ('telling-truth', 1), ('lying', 4)), ('lying', 3), ('and', ('lying', 0), ('lying', 4)), ('and', ('telling-truth', 3), ('lying', 3)))", "index": 102}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: William, Jacob, Aiden, Aria, and Logan. In a statement by William: \"If Aiden is a knight then Aria is a knave\". Jacob was heard saying, \"Logan is a knave and Jacob is a knight\". Aiden said, \"Aria is a knave or William is a knight.\" Aria told you that William is a knave. Logan stated, \"Jacob is a knight\". So who is a knight and who is a knave?", "names": ["William", "Jacob", "Aiden", "Aria", "Logan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false, false], "solution_text": "William is a knight, Jacob is a knave, Aiden is a knight, Aria is a knave, and Logan is a knave.", "solution_text_format": "(1) William is a knight\n(2) Jacob is a knave\n(3) Aiden is a knight\n(4) Aria is a knave\n(5) Logan is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume William is a knight. No contradiction is found in their claim that If Aiden is a knight then Aria is a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that Aria is a knave or William is a knight.", "Aria cannot be a knight, because this would contradict the claim of William that If Aiden is a knight then Aria is a knave.", "Assume Aria is a knave. No contradiction is found in their false claim that William is a knave.", "Assume Jacob is a knight. No contradiction is found in their claim that Logan is a knave and Jacob is a knight.", "Logan cannot be a knight, because this would contradict the claim of Jacob that Logan is a knave and Jacob is a knight.", "Logan cannot be a knave, because this would contradict the false claim of their own that Jacob is a knight.", "We have exhausted all possibilities for Logan, so let us go back and reconsider Jacob.", "Assume Jacob is a knave. No contradiction is found in their false claim that Logan is a knave and Jacob is a knight.", "Logan cannot be a knight, because this would contradict the claim of their own that Jacob is a knight.", "Assume Logan is a knave. No contradiction is found in their false claim that Jacob is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 2), ('lying', 3)), ('and', ('lying', 4), ('telling-truth', 1)), ('or', ('lying', 3), ('telling-truth', 0)), ('lying', 0), ('telling-truth', 1))", "index": 103}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Lucas, Alexander, Henry, Aiden, and Sebastian. Lucas commented, \"Henry is a knight\". \"Aiden is a knight,\" Alexander mentioned. As Henry put it, \"Sebastian is a knight and Henry is a knight\". \"Lucas is not a knight,\" Aiden declared. Sebastian asserted: \"Lucas is a knave or Aiden is a knight\". So who is a knight and who is a knave?", "names": ["Lucas", "Alexander", "Henry", "Aiden", "Sebastian"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true, true], "solution_text": "Lucas is a knave, Alexander is a knight, Henry is a knave, Aiden is a knight, and Sebastian is a knight.", "solution_text_format": "(1) Lucas is a knave\n(2) Alexander is a knight\n(3) Henry is a knave\n(4) Aiden is a knight\n(5) Sebastian is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Lucas is a knight. No contradiction is found in their claim that Henry is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that Sebastian is a knight and Henry is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Lucas is a knave or Aiden is a knight.", "Aiden cannot be a knight, because this would contradict the claim of their own that Lucas is not a knight.", "Aiden cannot be a knave, because this would contradict the claim of Sebastian that Lucas is a knave or Aiden is a knight.", "We have exhausted all possibilities for Aiden, so let us go back and reconsider Sebastian.", "Sebastian cannot be a knave, because this would contradict the claim of Henry that Sebastian is a knight and Henry is a knight.", "We have exhausted all possibilities for Sebastian, so let us go back and reconsider Henry.", "Henry cannot be a knave, because this would contradict the claim of Lucas that Henry is a knight.", "We have exhausted all possibilities for Henry, so let us go back and reconsider Lucas.", "Assume Lucas is a knave. No contradiction is found in their false claim that Henry is a knight.", "Henry cannot be a knight, because this would contradict the false claim of Lucas that Henry is a knight.", "Assume Henry is a knave. No contradiction is found in their false claim that Sebastian is a knight and Henry is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Lucas is a knave or Aiden is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that Lucas is not a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that Aiden is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 2), ('telling-truth', 3), ('and', ('telling-truth', 4), ('telling-truth', 2)), ('not', ('telling-truth', 0)), ('or', ('lying', 0), ('telling-truth', 3)))", "index": 104}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Amelia, Zoey, Owen, Samuel, and Aria. As Amelia put it, \"Zoey is a knave and Owen is a knave\". Zoey expressed that Amelia is a knight and Aria is a knight. Owen was heard saying, \"Samuel is a knight and Amelia is a knave\". \"If Aria is a knight then Zoey is a knight,\" Samuel declared. Aria remarked, \"Zoey is a knight if and only if Owen is a knave\". So who is a knight and who is a knave?", "names": ["Amelia", "Zoey", "Owen", "Samuel", "Aria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, false], "solution_text": "Amelia is a knight, Zoey is a knave, Owen is a knave, Samuel is a knight, and Aria is a knave.", "solution_text_format": "(1) Amelia is a knight\n(2) Zoey is a knave\n(3) Owen is a knave\n(4) Samuel is a knight\n(5) Aria is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Amelia is a knight. No contradiction is found in their claim that Zoey is a knave and Owen is a knave.", "Zoey cannot be a knight, because this would contradict the claim of Amelia that Zoey is a knave and Owen is a knave.", "Assume Zoey is a knave. No contradiction is found in their false claim that Amelia is a knight and Aria is a knight.", "Aria cannot be a knight, because this would contradict the false claim of Zoey that Amelia is a knight and Aria is a knight.", "Assume Aria is a knave. No contradiction is found in their false claim that Zoey is a knight if and only if Owen is a knave.", "Owen cannot be a knight, because this would contradict the claim of Amelia that Zoey is a knave and Owen is a knave.", "Assume Owen is a knave. No contradiction is found in their false claim that Samuel is a knight and Amelia is a knave.", "Assume Samuel is a knight. No contradiction is found in their claim that If Aria is a knight then Zoey is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('lying', 2)), ('and', ('telling-truth', 0), ('telling-truth', 4)), ('and', ('telling-truth', 3), ('lying', 0)), ('->', ('telling-truth', 4), ('telling-truth', 1)), ('<=>', ('telling-truth', 1), ('lying', 2)))", "index": 105}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Daniel, Mason, Aria, Liam, and Michael. Daniel said, \"Michael is a knave.\" Mason asserted: \"Liam is a knave\". \"If Mason is a knave then Michael is a knave\" - Aria. Liam said, \"Mason is a knave if and only if Mason is a knight.\" \"Aria is not a knight\" - Michael. So who is a knight and who is a knave?", "names": ["Daniel", "Mason", "Aria", "Liam", "Michael"], "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": "Daniel is a knight, Mason is a knight, Aria is a knight, Liam is a knave, and Michael is a knave.", "solution_text_format": "(1) Daniel is a knight\n(2) Mason is a knight\n(3) Aria is a knight\n(4) Liam is a knave\n(5) Michael is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Daniel 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 Daniel that Michael is a knave.", "Assume Michael is a knave. No contradiction is found in their false claim that Aria is not a knight.", "Assume Aria is a knight. No contradiction is found in their claim that If Mason is a knave then Michael is a knave.", "Assume Mason is a knight. No contradiction is found in their claim that Liam is a knave.", "Liam cannot be a knight, because this would contradict the claim of Mason that Liam is a knave.", "Assume Liam is a knave. No contradiction is found in their false claim that Mason is a knave if and only if Mason is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 4), ('lying', 3), ('->', ('lying', 1), ('lying', 4)), ('<=>', ('lying', 1), ('telling-truth', 1)), ('not', ('telling-truth', 2)))", "index": 106}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Ava, Abigail, Harper, Penelope, and Ethan. Ava told you that Ethan is a knight and Abigail is a knave. Abigail was heard saying, \"Abigail is a knight or Penelope is a knave\". According to Harper, \"If Harper is a knight then Abigail is a knight\". \"Abigail is not a knave,\" Penelope claimed. Ethan told you that If Ava is a knight then Abigail is a knave. So who is a knight and who is a knave?", "names": ["Ava", "Abigail", "Harper", "Penelope", "Ethan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, true], "solution_text": "Ava is a knave, Abigail is a knight, Harper is a knight, Penelope is a knight, and Ethan is a knight.", "solution_text_format": "(1) Ava is a knave\n(2) Abigail is a knight\n(3) Harper is a knight\n(4) Penelope is a knight\n(5) Ethan is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ava is a knight. No contradiction is found in their claim that Ethan is a knight and Abigail is a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that If Ava is a knight then Abigail is a knave.", "Abigail cannot be a knight, because this would contradict the claim of Ava that Ethan is a knight and Abigail is a knave.", "Assume Abigail is a knave. No contradiction is found in their false claim that Abigail is a knight or Penelope is a knave.", "Penelope cannot be a knight, because this would contradict the claim of their own that Abigail is not a knave.", "Penelope cannot be a knave, because this would contradict the false claim of Abigail that Abigail is a knight or Penelope is a knave.", "We have exhausted all possibilities for Penelope and Abigail, so let us go back and reconsider Ethan.", "Ethan cannot be a knave, because this would contradict the claim of Ava that Ethan is a knight and Abigail is a knave.", "We have exhausted all possibilities for Ethan, so let us go back and reconsider Ava.", "Assume Ava is a knave. No contradiction is found in their false claim that Ethan is a knight and Abigail is a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that If Ava is a knight then Abigail is a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that Abigail is a knight or Penelope is a knave.", "Assume Penelope is a knight. No contradiction is found in their claim that Abigail is not a knave.", "Assume Harper is a knight. No contradiction is found in their claim that If Harper is a knight then Abigail is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 4), ('lying', 1)), ('or', ('telling-truth', 1), ('lying', 3)), ('->', ('telling-truth', 2), ('telling-truth', 1)), ('not', ('lying', 1)), ('->', ('telling-truth', 0), ('lying', 1)))", "index": 107}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: David, Evelyn, James, Grace, and Mason. David noted, \"Evelyn is a knave or Evelyn is a knight\". Evelyn expressed that Grace is a knave and Mason is a knight. James expressed that David is not a knight. In Grace's words: \"If David is a knave then James is a knave\". Mason commented, \"Grace is a knight\". So who is a knight and who is a knave?", "names": ["David", "Evelyn", "James", "Grace", "Mason"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, true], "solution_text": "David is a knight, Evelyn is a knave, James is a knave, Grace is a knight, and Mason is a knight.", "solution_text_format": "(1) David is a knight\n(2) Evelyn is a knave\n(3) James is a knave\n(4) Grace is a knight\n(5) 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 David is a knight. No contradiction is found in their claim that Evelyn is a knave or Evelyn is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that Grace is a knave and Mason is a knight.", "Grace cannot be a knight, because this would contradict the claim of Evelyn that Grace is a knave and Mason is a knight.", "Grace cannot be a knave, because this would contradict the false claim of their own that If David is a knave then James is a knave.", "We have exhausted all possibilities for Grace, so let us go back and reconsider Evelyn.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Grace is a knave and Mason is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that If David is a knave then James is a knave.", "James cannot be a knight, because this would contradict the claim of their own that David is not a knight.", "Assume James is a knave. No contradiction is found in their false claim that David is not a knight.", "Assume Mason is a knight. No contradiction is found in their claim that Grace is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('telling-truth', 1)), ('and', ('lying', 3), ('telling-truth', 4)), ('not', ('telling-truth', 0)), ('->', ('lying', 0), ('lying', 2)), ('telling-truth', 3))", "index": 108}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aria, Jackson, Ethan, Owen, and Henry. Aria commented, \"Owen is a knight or Aria is a knight\". Jackson commented, \"If Ethan is a knight then Aria is a knight\". \"Aria is a knave if and only if Owen is a knave,\" Ethan declared. Owen was heard saying, \"If Henry is a knight then Henry is a knave\". \"Jackson is a knave if and only if Owen is a knave,\" Henry mentioned. So who is a knight and who is a knave?", "names": ["Aria", "Jackson", "Ethan", "Owen", "Henry"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false, true], "solution_text": "Aria is a knave, Jackson is a knave, Ethan is a knight, Owen is a knave, and Henry is a knight.", "solution_text_format": "(1) Aria is a knave\n(2) Jackson is a knave\n(3) Ethan is a knight\n(4) Owen is a knave\n(5) Henry is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aria is a knight. No contradiction is found in their claim that Owen is a knight or Aria is a knight.", "Assume Owen 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 Owen 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 Jackson is a knave if and only if Owen is a knave.", "Jackson cannot be a knight, because this would contradict the false claim of Henry that Jackson is a knave if and only if Owen is a knave.", "Jackson cannot be a knave, because this would contradict the false claim of their own that If Ethan is a knight then Aria is a knight.", "We have exhausted all possibilities for Jackson and Henry, so let us go back and reconsider Owen.", "Assume Owen is a knave. No contradiction is found in their false claim that If Henry is a knight then Henry is a knave.", "Assume Henry is a knight. No contradiction is found in their claim that Jackson is a knave if and only if Owen is a knave.", "Jackson cannot be a knight, because this would contradict the claim of Henry that Jackson is a knave if and only if Owen is a knave.", "Jackson cannot be a knave, because this would contradict the false claim of their own that If Ethan is a knight then Aria is a knight.", "We have exhausted all possibilities for Jackson, so let us go back and reconsider Henry.", "Henry cannot be a knave, because this would contradict the false claim of Owen that If Henry is a knight then Henry is a knave.", "We have exhausted all possibilities for Henry and Owen, so let us go back and reconsider Aria.", "Assume Aria is a knave. No contradiction is found in their false claim that Owen is a knight or Aria is a knight.", "Owen cannot be a knight, because this would contradict the false claim of Aria that Owen is a knight or Aria is a knight.", "Assume Owen is a knave. No contradiction is found in their false claim that If Henry is a knight then Henry is a knave.", "Assume Henry is a knight. No contradiction is found in their claim that Jackson is a knave if and only if Owen is a knave.", "Jackson cannot be a knight, because this would contradict the claim of Henry that Jackson is a knave if and only if Owen is a knave.", "Assume Jackson is a knave. No contradiction is found in their false claim that If Ethan is a knight then Aria is a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that Aria is a knave if and only if Owen is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 3), ('telling-truth', 0)), ('->', ('telling-truth', 2), ('telling-truth', 0)), ('<=>', ('lying', 0), ('lying', 3)), ('->', ('telling-truth', 4), ('lying', 4)), ('<=>', ('lying', 1), ('lying', 3)))", "index": 109}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Liam, Abigail, Oliver, Charlotte, and Joseph. According to Liam, \"Charlotte is a knight and Joseph is a knave\". Abigail said, \"Charlotte is a knave or Liam is a knight.\" According to Oliver, \"Charlotte is a knight\". Charlotte told you that Liam is a knave. In Joseph's words: \"Liam is not a knight\". So who is a knight and who is a knave?", "names": ["Liam", "Abigail", "Oliver", "Charlotte", "Joseph"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true, true], "solution_text": "Liam is a knave, Abigail is a knave, Oliver is a knight, Charlotte is a knight, and Joseph is a knight.", "solution_text_format": "(1) Liam is a knave\n(2) Abigail is a knave\n(3) Oliver is a knight\n(4) Charlotte is a knight\n(5) Joseph is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Liam is a knight. No contradiction is found in their claim that Charlotte is a knight and Joseph is a knave.", "Charlotte cannot be a knight, because this would contradict the claim of their own that Liam is a knave.", "Charlotte cannot be a knave, because this would contradict the claim of Liam that Charlotte is a knight and Joseph is a knave.", "We have exhausted all possibilities for Charlotte, so let us go back and reconsider Liam.", "Assume Liam is a knave. No contradiction is found in their false claim that Charlotte is a knight and Joseph is a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that Liam is a knave.", "Assume Joseph is a knight. No contradiction is found in their claim that Liam is not a knight.", "Abigail cannot be a knight, because this would contradict the claim of their own that Charlotte is a knave or Liam is a knight.", "Assume Abigail is a knave. No contradiction is found in their false claim that Charlotte is a knave or Liam is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that Charlotte is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 3), ('lying', 4)), ('or', ('lying', 3), ('telling-truth', 0)), ('telling-truth', 3), ('lying', 0), ('not', ('telling-truth', 0)))", "index": 110}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Ella, Victoria, Riley, Avery, and Sofia. Ella asserted: \"Ella is a knight or Victoria is a knave\". Victoria asserted: \"If Victoria is a knight then Riley is a knight\". Riley asserted: \"Ella is not a knight\". \"Sofia is a knight or Ella is a knave,\" Avery declared. Sofia expressed that If Victoria is a knave then Riley is a knave. So who is a knight and who is a knave?", "names": ["Ella", "Victoria", "Riley", "Avery", "Sofia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, true], "solution_text": "Ella is a knave, Victoria is a knight, Riley is a knight, Avery is a knight, and Sofia is a knight.", "solution_text_format": "(1) Ella is a knave\n(2) Victoria is a knight\n(3) Riley is a knight\n(4) Avery is a knight\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 Ella is a knight. No contradiction is found in their claim that Ella is a knight or Victoria is a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that If Victoria is a knight then Riley is a knight.", "Riley cannot be a knight, because this would contradict the claim of their own that Ella is not a knight.", "Riley cannot be a knave, because this would contradict the claim of Victoria that If Victoria is a knight then Riley is a knight.", "We have exhausted all possibilities for Riley, so let us go back and reconsider Victoria.", "Victoria cannot be a knave, because this would contradict the false claim of their own that If Victoria is a knight then Riley is a knight.", "We have exhausted all possibilities for Victoria, so let us go back and reconsider Ella.", "Assume Ella is a knave. No contradiction is found in their false claim that Ella is a knight or Victoria is a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that If Victoria is a knight then Riley is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that Ella is not a knight.", "Assume Avery is a knight. No contradiction is found in their claim that Sofia is a knight or Ella is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that If Victoria is a knave then Riley is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 0), ('lying', 1)), ('->', ('telling-truth', 1), ('telling-truth', 2)), ('not', ('telling-truth', 0)), ('or', ('telling-truth', 4), ('lying', 0)), ('->', ('lying', 1), ('lying', 2)))", "index": 111}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Joseph, Michael, Elizabeth, Lucas, and Aria. \"Lucas is a knave and Elizabeth is a knave\" - Joseph. Michael said, \"Elizabeth is a knave and Elizabeth is a knight.\" In Elizabeth's words: \"Michael is not a knave\". Lucas remarked, \"Michael is not a knight\". Aria asserted: \"Aria is a knight and Joseph is a knight\". So who is a knight and who is a knave?", "names": ["Joseph", "Michael", "Elizabeth", "Lucas", "Aria"], "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": "Joseph is a knave, Michael is a knave, Elizabeth is a knave, Lucas is a knight, and Aria is a knave.", "solution_text_format": "(1) Joseph is a knave\n(2) Michael is a knave\n(3) Elizabeth is a knave\n(4) Lucas is a knight\n(5) Aria is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Joseph is a knight. No contradiction is found in their claim that Lucas is a knave and Elizabeth is a knave.", "Lucas cannot be a knight, because this would contradict the claim of Joseph that Lucas is a knave and Elizabeth is a knave.", "Assume Lucas is a knave. No contradiction is found in their false claim that Michael is not a knight.", "Michael cannot be a knight, because this would contradict the claim of their own that Elizabeth is a knave and Elizabeth is a knight.", "Michael cannot be a knave, because this would contradict the false claim of Lucas that Michael is not a knight.", "We have exhausted all possibilities for Michael and Lucas, so let us go back and reconsider Joseph.", "Assume Joseph is a knave. No contradiction is found in their false claim that Lucas is a knave and Elizabeth is a knave.", "Assume Lucas is a knight. No contradiction is found in their claim that Michael is not a knight.", "Michael cannot be a knight, because this would contradict the claim of their own that Elizabeth is a knave and Elizabeth is a knight.", "Assume Michael is a knave. No contradiction is found in their false claim that Elizabeth is a knave and Elizabeth is a knight.", "Elizabeth cannot be a knight, because this would contradict the claim of their own that Michael is not a knave.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Michael is not a knave.", "Aria cannot be a knight, because this would contradict the claim of their own that Aria is a knight and Joseph is a knight.", "Assume Aria is a knave. No contradiction is found in their false claim that Aria is a knight and Joseph is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 3), ('lying', 2)), ('and', ('lying', 2), ('telling-truth', 2)), ('not', ('lying', 1)), ('not', ('telling-truth', 1)), ('and', ('telling-truth', 4), ('telling-truth', 0)))", "index": 112}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Alexander, James, Ava, Logan, and Grace. Alexander told you that If Grace is a knight then Logan is a knight. James noted, \"Ava is a knave or Logan is a knight\". According to Ava, \"James is a knave if and only if Alexander is a knight\". \"Alexander is a knave if and only if James is a knight,\" Logan declared. \"Ava is a knave and Ava is a knight,\" Grace declared. So who is a knight and who is a knave?", "names": ["Alexander", "James", "Ava", "Logan", "Grace"], "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": "Alexander is a knight, James is a knight, Ava is a knave, Logan is a knave, and Grace is a knave.", "solution_text_format": "(1) Alexander is a knight\n(2) James is a knight\n(3) Ava is a knave\n(4) Logan is a knave\n(5) Grace is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Alexander is a knight. No contradiction is found in their claim that If Grace is a knight then Logan is a knight.", "Grace cannot be a knight, because this would contradict the claim of their own that Ava is a knave and Ava is a knight.", "Assume Grace is a knave. No contradiction is found in their false claim that Ava is a knave and Ava is a knight.", "Assume Ava is a knight. No contradiction is found in their claim that James is a knave if and only if Alexander is a knight.", "James cannot be a knight, because this would contradict the claim of Ava that James is a knave if and only if Alexander is a knight.", "Assume James is a knave. No contradiction is found in their false claim that Ava is a knave or Logan is a knight.", "Logan cannot be a knight, because this would contradict the false claim of James that Ava is a knave or Logan is a knight.", "Logan cannot be a knave, because this would contradict the false claim of their own that Alexander is a knave if and only if James is a knight.", "We have exhausted all possibilities for Logan and James, so let us go back and reconsider Ava.", "Assume Ava is a knave. No contradiction is found in their false claim that James is a knave if and only if Alexander is a knight.", "Assume James is a knight. No contradiction is found in their claim that Ava is a knave or Logan is a knight.", "Logan cannot be a knight, because this would contradict the claim of their own that Alexander is a knave if and only if James is a knight.", "Assume Logan is a knave. No contradiction is found in their false claim that Alexander is a knave if and only if James is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 4), ('telling-truth', 3)), ('or', ('lying', 2), ('telling-truth', 3)), ('<=>', ('lying', 1), ('telling-truth', 0)), ('<=>', ('lying', 0), ('telling-truth', 1)), ('and', ('lying', 2), ('telling-truth', 2)))", "index": 113}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Evelyn, Chloe, Matthew, William, and Sofia. Evelyn expressed that Chloe is a knave or William is a knight. Chloe asserted: \"Matthew is a knight or Matthew is a knave\". \"William is not a knight,\" Matthew claimed. According to William, \"Matthew is a knave if and only if Evelyn is a knave\". In Sofia's words: \"Matthew is a knight if and only if Matthew is a knave\". So who is a knight and who is a knave?", "names": ["Evelyn", "Chloe", "Matthew", "William", "Sofia"], "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": "Evelyn is a knave, Chloe is a knight, Matthew is a knight, William is a knave, and Sofia is a knave.", "solution_text_format": "(1) Evelyn is a knave\n(2) Chloe is a knight\n(3) Matthew is a knight\n(4) William is a knave\n(5) Sofia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Evelyn is a knight. No contradiction is found in their claim that Chloe is a knave or William is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that Matthew is a knight or Matthew is a knave.", "Assume Matthew is a knight. No contradiction is found in their claim that William is not a knight.", "William cannot be a knight, because this would contradict the claim of Matthew that William is not a knight.", "William cannot be a knave, because this would contradict the claim of Evelyn that Chloe is a knave or William is a knight.", "We have exhausted all possibilities for William, so let us go back and reconsider Matthew.", "Assume Matthew is a knave. No contradiction is found in their false claim that William is not a knight.", "William cannot be a knight, because this would contradict the claim of their own that Matthew is a knave if and only if Evelyn is a knave.", "William cannot be a knave, because this would contradict the claim of Evelyn that Chloe is a knave or William is a knight.", "We have exhausted all possibilities for William and Matthew, so let us go back and reconsider Chloe.", "Chloe cannot be a knave, because this would contradict the false claim of their own that Matthew is a knight or Matthew is a knave.", "We have exhausted all possibilities for Chloe, so let us go back and reconsider Evelyn.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Chloe is a knave or William is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that Matthew is a knight or Matthew is a knave.", "Assume Matthew is a knight. No contradiction is found in their claim that William is not a knight.", "William cannot be a knight, because this would contradict the false claim of Evelyn that Chloe is a knave or William is a knight.", "Assume William is a knave. No contradiction is found in their false claim that Matthew is a knave if and only if Evelyn is a knave.", "Sofia cannot be a knight, because this would contradict the claim of their own that Matthew is a knight if and only if Matthew is a knave.", "Assume Sofia is a knave. No contradiction is found in their false claim that Matthew is a knight if and only if Matthew is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('telling-truth', 3)), ('or', ('telling-truth', 2), ('lying', 2)), ('not', ('telling-truth', 3)), ('<=>', ('lying', 2), ('lying', 0)), ('<=>', ('telling-truth', 2), ('lying', 2)))", "index": 114}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: David, Charlotte, Jackson, Samuel, and Avery. David was heard saying, \"If Samuel is a knight then Charlotte is a knave\". Charlotte said that David is a knave if and only if Avery is a knave. Jackson remarked, \"Charlotte is a knave or Avery is a knave\". \"If Jackson is a knave then David is a knight\" - Samuel. According to Avery, \"Charlotte is a knave\". So who is a knight and who is a knave?", "names": ["David", "Charlotte", "Jackson", "Samuel", "Avery"], "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": "David is a knave, Charlotte is a knight, Jackson is a knight, Samuel is a knight, and Avery is a knave.", "solution_text_format": "(1) David is a knave\n(2) Charlotte is a knight\n(3) Jackson is a knight\n(4) Samuel 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 David is a knight. No contradiction is found in their claim that If Samuel is a knight then Charlotte is a knave.", "Assume Samuel is a knight. No contradiction is found in their claim that If Jackson is a knave then David is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that Charlotte is a knave or Avery is a knave.", "Charlotte cannot be a knight, because this would contradict the claim of David that If Samuel is a knight then Charlotte is a knave.", "Assume Charlotte is a knave. No contradiction is found in their false claim that David is a knave if and only if Avery is a knave.", "Avery cannot be a knight, because this would contradict the false claim of Charlotte that David is a knave if and only if Avery is a knave.", "Avery cannot be a knave, because this would contradict the false claim of their own that Charlotte is a knave.", "We have exhausted all possibilities for Avery and Charlotte, so let us go back and reconsider Jackson.", "Assume Jackson is a knave. No contradiction is found in their false claim that Charlotte is a knave or Avery is a knave.", "Charlotte cannot be a knight, because this would contradict the claim of David that If Samuel is a knight then Charlotte is a knave.", "Charlotte cannot be a knave, because this would contradict the false claim of Jackson that Charlotte is a knave or Avery is a knave.", "We have exhausted all possibilities for Charlotte and Jackson, so let us go back and reconsider Samuel.", "Samuel cannot be a knave, because this would contradict the false claim of their own that If Jackson is a knave then David is a knight.", "We have exhausted all possibilities for Samuel, so let us go back and reconsider David.", "Assume David is a knave. No contradiction is found in their false claim that If Samuel is a knight then Charlotte is a knave.", "Assume Samuel is a knight. No contradiction is found in their claim that If Jackson is a knave then David is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that Charlotte is a knave or Avery is a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that David is a knave if and only if Avery is a knave.", "Avery cannot be a knight, because this would contradict the claim of Charlotte that David is a knave if and only if Avery is a knave.", "Assume Avery is a knave. No contradiction is found in their false claim that Charlotte is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 3), ('lying', 1)), ('<=>', ('lying', 0), ('lying', 4)), ('or', ('lying', 1), ('lying', 4)), ('->', ('lying', 2), ('telling-truth', 0)), ('lying', 1))", "index": 115}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Liam, Elizabeth, Aiden, Matthew, and Benjamin. In Liam's words: \"Aiden is a knight and Benjamin is a knave\". In Elizabeth's words: \"Matthew is a knight if and only if Matthew is a knave\". In a statement by Aiden: \"If Liam is a knave then Liam is a knight\". \"Liam is not a knight,\" Matthew declared. According to Benjamin, \"Aiden is a knight\". So who is a knight and who is a knave?", "names": ["Liam", "Elizabeth", "Aiden", "Matthew", "Benjamin"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true, false], "solution_text": "Liam is a knave, Elizabeth is a knave, Aiden is a knave, Matthew is a knight, and Benjamin is a knave.", "solution_text_format": "(1) Liam is a knave\n(2) Elizabeth is a knave\n(3) Aiden is a knave\n(4) Matthew is a knight\n(5) Benjamin is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Liam is a knight. No contradiction is found in their claim that Aiden is a knight and Benjamin is a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that If Liam is a knave then Liam is a knight.", "Benjamin cannot be a knight, because this would contradict the claim of Liam that Aiden is a knight and Benjamin is a knave.", "Benjamin cannot be a knave, because this would contradict the false claim of their own that Aiden is a knight.", "We have exhausted all possibilities for Benjamin, so let us go back and reconsider Aiden.", "Aiden cannot be a knave, because this would contradict the claim of Liam that Aiden is a knight and Benjamin is a knave.", "We have exhausted all possibilities for Aiden, so let us go back and reconsider Liam.", "Assume Liam is a knave. No contradiction is found in their false claim that Aiden is a knight and Benjamin is a knave.", "Aiden cannot be a knight, because this would contradict the claim of their own that If Liam is a knave then Liam is a knight.", "Assume Aiden is a knave. No contradiction is found in their false claim that If Liam is a knave then Liam is a knight.", "Benjamin cannot be a knight, because this would contradict the claim of their own that Aiden is a knight.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Aiden is a knight.", "Elizabeth cannot be a knight, because this would contradict the claim of their own that Matthew is a knight if and only if Matthew is a knave.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Matthew is a knight if and only if Matthew is a knave.", "Assume Matthew is a knight. No contradiction is found in their claim that Liam is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 2), ('lying', 4)), ('<=>', ('telling-truth', 3), ('lying', 3)), ('->', ('lying', 0), ('telling-truth', 0)), ('not', ('telling-truth', 0)), ('telling-truth', 2))", "index": 116}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aiden, Charlotte, Alexander, Lucas, and Emily. \"Alexander is a knave or Emily is a knight\" - Aiden. Charlotte told you that Aiden is not a knight. Alexander stated, \"Aiden is a knave\". \"If Emily is a knight then Charlotte is a knight,\" Lucas claimed. Emily expressed that If Charlotte is a knave then Aiden is a knave. So who is a knight and who is a knave?", "names": ["Aiden", "Charlotte", "Alexander", "Lucas", "Emily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, false], "solution_text": "Aiden is a knight, Charlotte is a knave, Alexander is a knave, Lucas is a knight, and Emily is a knave.", "solution_text_format": "(1) Aiden is a knight\n(2) Charlotte is a knave\n(3) Alexander is a knave\n(4) Lucas 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 Aiden is a knight. No contradiction is found in their claim that Alexander is a knave or Emily is a knight.", "Alexander cannot be a knight, because this would contradict the claim of their own that Aiden is a knave.", "Assume Alexander is a knave. No contradiction is found in their false claim that Aiden is a knave.", "Assume Emily is a knight. No contradiction is found in their claim that If Charlotte is a knave then Aiden is a knave.", "Charlotte cannot be a knight, because this would contradict the claim of their own that Aiden is not a knight.", "Charlotte cannot be a knave, because this would contradict the claim of Emily that If Charlotte is a knave then Aiden is a knave.", "We have exhausted all possibilities for Charlotte, so let us go back and reconsider Emily.", "Assume Emily is a knave. No contradiction is found in their false claim that If Charlotte is a knave then Aiden is a knave.", "Charlotte cannot be a knight, because this would contradict the claim of their own that Aiden is not a knight.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Aiden is not a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that If Emily is a knight then Charlotte is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 2), ('telling-truth', 4)), ('not', ('telling-truth', 0)), ('lying', 0), ('->', ('telling-truth', 4), ('telling-truth', 1)), ('->', ('lying', 1), ('lying', 0)))", "index": 117}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Charlotte, Oliver, Ella, Riley, and Daniel. Charlotte commented, \"Oliver is a knave\". Oliver said, \"Daniel is not a knight.\" \"Charlotte is a knave and Charlotte is a knight\" - Ella. Riley asserted: \"Ella is a knave or Charlotte is a knave\". According to Daniel, \"Oliver is a knave if and only if Charlotte is a knight\". So who is a knight and who is a knave?", "names": ["Charlotte", "Oliver", "Ella", "Riley", "Daniel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, true], "solution_text": "Charlotte is a knight, Oliver is a knave, Ella is a knave, Riley is a knight, and Daniel is a knight.", "solution_text_format": "(1) Charlotte is a knight\n(2) Oliver is a knave\n(3) Ella is a knave\n(4) Riley 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 Charlotte is a knight. No contradiction is found in their claim that Oliver is a knave.", "Oliver cannot be a knight, because this would contradict the claim of Charlotte that Oliver is a knave.", "Assume Oliver is a knave. No contradiction is found in their false claim that Daniel is not a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that Oliver is a knave if and only if Charlotte is a knight.", "Ella cannot be a knight, because this would contradict the claim of their own that Charlotte is a knave and Charlotte is a knight.", "Assume Ella is a knave. No contradiction is found in their false claim that Charlotte is a knave and Charlotte is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that Ella is a knave or Charlotte is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('not', ('telling-truth', 4)), ('and', ('lying', 0), ('telling-truth', 0)), ('or', ('lying', 2), ('lying', 0)), ('<=>', ('lying', 1), ('telling-truth', 0)))", "index": 118}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Ethan, James, Emily, Michael, and Victoria. Ethan stated, \"Emily is a knave or Michael is a knight\". James was heard saying, \"Ethan is a knight and Ethan is a knave\". Emily said, \"James is a knave.\" Michael asserted: \"If Emily is a knight then Emily is a knave\". According to Victoria, \"Ethan is a knave or Michael is a knave\". So who is a knight and who is a knave?", "names": ["Ethan", "James", "Emily", "Michael", "Victoria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false, true], "solution_text": "Ethan is a knave, James is a knave, Emily is a knight, Michael is a knave, and Victoria is a knight.", "solution_text_format": "(1) Ethan is a knave\n(2) James is a knave\n(3) Emily is a knight\n(4) Michael is a knave\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 Ethan is a knight. No contradiction is found in their claim that Emily is a knave or Michael is a knight.", "Assume Emily 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 their own that Ethan is a knight and Ethan is a knave.", "Assume James is a knave. No contradiction is found in their false claim that Ethan is a knight and Ethan is a knave.", "Michael cannot be a knight, because this would contradict the claim of their own that If Emily is a knight then Emily is a knave.", "Michael cannot be a knave, because this would contradict the claim of Ethan that Emily is a knave or Michael is a knight.", "We have exhausted all possibilities for Michael and James, so let us go back and reconsider Emily.", "Assume Emily is a knave. No contradiction is found in their false claim that James is a knave.", "James cannot be a knight, because this would contradict the claim of their own that Ethan is a knight and Ethan is a knave.", "James cannot be a knave, because this would contradict the false claim of Emily that James is a knave.", "We have exhausted all possibilities for James and Emily, so let us go back and reconsider Ethan.", "Assume Ethan is a knave. No contradiction is found in their false claim that Emily is a knave or Michael is a knight.", "Assume Emily 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 their own that Ethan is a knight and Ethan is a knave.", "Assume James is a knave. No contradiction is found in their false claim that Ethan is a knight and Ethan is a knave.", "Michael cannot be a knight, because this would contradict the false claim of Ethan that Emily is a knave or Michael is a knight.", "Assume Michael is a knave. No contradiction is found in their false claim that If Emily is a knight then Emily is a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that Ethan is a knave or Michael is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 2), ('telling-truth', 3)), ('and', ('telling-truth', 0), ('lying', 0)), ('lying', 1), ('->', ('telling-truth', 2), ('lying', 2)), ('or', ('lying', 0), ('lying', 3)))", "index": 119}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Mason, Aurora, Henry, Victoria, and Daniel. Mason commented, \"If Victoria is a knight then Aurora is a knight\". Aurora expressed that Daniel is a knight. In Henry's words: \"If Mason is a knave then Aurora is a knight\". \"Aurora is a knight and Daniel is a knight\" - Victoria. As Daniel put it, \"Henry is not a knight\". So who is a knight and who is a knave?", "names": ["Mason", "Aurora", "Henry", "Victoria", "Daniel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false, false], "solution_text": "Mason is a knight, Aurora is a knave, Henry is a knight, Victoria is a knave, and Daniel is a knave.", "solution_text_format": "(1) Mason is a knight\n(2) Aurora is a knave\n(3) Henry is a knight\n(4) Victoria 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 Mason is a knight. No contradiction is found in their claim that If Victoria is a knight then Aurora is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that Aurora is a knight and Daniel is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that Daniel is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that Henry is not a knight.", "Henry cannot be a knight, because this would contradict the claim of Daniel that Henry is not a knight.", "Henry cannot be a knave, because this would contradict the false claim of their own that If Mason is a knave then Aurora is a knight.", "We have exhausted all possibilities for Henry, so let us go back and reconsider Daniel.", "Daniel cannot be a knave, because this would contradict the claim of Aurora that Daniel is a knight.", "We have exhausted all possibilities for Daniel, so let us go back and reconsider Aurora.", "Aurora cannot be a knave, because this would contradict the claim of Mason that If Victoria is a knight then Aurora is a knight.", "We have exhausted all possibilities for Aurora, so let us go back and reconsider Victoria.", "Assume Victoria is a knave. No contradiction is found in their false claim that Aurora is a knight and Daniel is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that Daniel is a knight.", "Daniel cannot be a knight, because this would contradict the false claim of Victoria that Aurora is a knight and Daniel is a knight.", "Daniel cannot be a knave, because this would contradict the claim of Aurora that Daniel is a knight.", "We have exhausted all possibilities for Daniel, so let us go back and reconsider Aurora.", "Assume Aurora is a knave. No contradiction is found in their false claim that Daniel is a knight.", "Daniel cannot be a knight, because this would contradict the false claim of Aurora that Daniel is a knight.", "Assume Daniel is a knave. No contradiction is found in their false claim that Henry is not a knight.", "Assume Henry is a knight. No contradiction is found in their claim that If Mason is a knave then Aurora is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 3), ('telling-truth', 1)), ('telling-truth', 4), ('->', ('lying', 0), ('telling-truth', 1)), ('and', ('telling-truth', 1), ('telling-truth', 4)), ('not', ('telling-truth', 2)))", "index": 120}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: James, Lucas, Michael, Alexander, and Aurora. James said, \"Lucas is a knight and Aurora is a knight.\" \"Alexander is a knave or Lucas is a knight\" - Lucas. \"Lucas is a knave or James is a knight,\" Michael claimed. In Alexander's words: \"If Lucas is a knight then Michael is a knave\". Aurora said, \"If Aurora is a knight then Lucas is a knight.\" So who is a knight and who is a knave?", "names": ["James", "Lucas", "Michael", "Alexander", "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": "James is a knight, Lucas is a knight, Michael is a knight, Alexander is a knave, and Aurora is a knight.", "solution_text_format": "(1) James is a knight\n(2) Lucas is a knight\n(3) Michael is a knight\n(4) Alexander 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 James is a knight. No contradiction is found in their claim that Lucas is a knight and Aurora is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that Alexander is a knave or Lucas is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that If Lucas is a knight then Michael is a knave.", "Michael cannot be a knight, because this would contradict the claim of Alexander that If Lucas is a knight then Michael is a knave.", "Michael cannot be a knave, because this would contradict the false claim of their own that Lucas is a knave or James is a knight.", "We have exhausted all possibilities for Michael, so let us go back and reconsider Alexander.", "Assume Alexander is a knave. No contradiction is found in their false claim that If Lucas is a knight then Michael is a knave.", "Assume Michael is a knight. No contradiction is found in their claim that Lucas is a knave or James is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that If Aurora is a knight then Lucas is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('telling-truth', 4)), ('or', ('lying', 3), ('telling-truth', 1)), ('or', ('lying', 1), ('telling-truth', 0)), ('->', ('telling-truth', 1), ('lying', 2)), ('->', ('telling-truth', 4), ('telling-truth', 1)))", "index": 121}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Amelia, Zoey, Abigail, Jacob, and Sophia. \"Jacob is a knave if and only if Sophia is a knight,\" Amelia claimed. Zoey said, \"Jacob is a knave.\" Abigail noted, \"Zoey is a knight if and only if Amelia is a knave\". Jacob stated, \"If Zoey is a knave then Jacob is a knight\". According to Sophia, \"Zoey is not a knight\". So who is a knight and who is a knave?", "names": ["Amelia", "Zoey", "Abigail", "Jacob", "Sophia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true, true], "solution_text": "Amelia is a knave, Zoey is a knave, Abigail is a knave, Jacob is a knight, and Sophia is a knight.", "solution_text_format": "(1) Amelia is a knave\n(2) Zoey is a knave\n(3) Abigail is a knave\n(4) Jacob is a knight\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 Amelia is a knight. No contradiction is found in their claim that Jacob is a knave if and only if Sophia is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that If Zoey is a knave then Jacob is a knight.", "Zoey cannot be a knight, because this would contradict the claim of their own that Jacob is a knave.", "Assume Zoey is a knave. No contradiction is found in their false claim that Jacob is a knave.", "Sophia cannot be a knight, because this would contradict the claim of Amelia that Jacob is a knave if and only if Sophia is a knight.", "Sophia cannot be a knave, because this would contradict the false claim of their own that Zoey is not a knight.", "We have exhausted all possibilities for Sophia and Zoey, so let us go back and reconsider Jacob.", "Assume Jacob is a knave. No contradiction is found in their false claim that If Zoey is a knave then Jacob is a knight.", "Zoey cannot be a knight, because this would contradict the false claim of Jacob that If Zoey is a knave then Jacob is a knight.", "Zoey cannot be a knave, because this would contradict the false claim of their own that Jacob is a knave.", "We have exhausted all possibilities for Zoey and Jacob, so let us go back and reconsider Amelia.", "Assume Amelia is a knave. No contradiction is found in their false claim that Jacob is a knave if and only if Sophia is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that If Zoey is a knave then Jacob is a knight.", "Zoey cannot be a knight, because this would contradict the claim of their own that Jacob is a knave.", "Assume Zoey is a knave. No contradiction is found in their false claim that Jacob is a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that Zoey is not a knight.", "Abigail cannot be a knight, because this would contradict the claim of their own that Zoey is a knight if and only if Amelia is a knave.", "Assume Abigail is a knave. No contradiction is found in their false claim that Zoey is a knight if and only if Amelia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 3), ('telling-truth', 4)), ('lying', 3), ('<=>', ('telling-truth', 1), ('lying', 0)), ('->', ('lying', 1), ('telling-truth', 3)), ('not', ('telling-truth', 1)))", "index": 122}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Sophia, Mia, Emily, Evelyn, and Charlotte. In a statement by Sophia: \"Evelyn is a knave if and only if Mia is a knave\". Mia said, \"Evelyn is a knave or Sophia is a knight.\" In a statement by Emily: \"Mia is a knight or Evelyn is a knave\". In Evelyn's words: \"If Charlotte is a knave then Mia is a knight\". Charlotte expressed that Sophia is a knight. So who is a knight and who is a knave?", "names": ["Sophia", "Mia", "Emily", "Evelyn", "Charlotte"], "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": "Sophia is a knight, Mia is a knight, Emily is a knight, Evelyn is a knight, and Charlotte is a knight.", "solution_text_format": "(1) Sophia is a knight\n(2) Mia is a knight\n(3) Emily is a knight\n(4) Evelyn 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 Sophia is a knight. No contradiction is found in their claim that Evelyn is a knave if and only if Mia is a knave.", "Assume Evelyn is a knight. No contradiction is found in their claim that If Charlotte is a knave then Mia is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that Sophia is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that Evelyn is a knave or Sophia is a knight.", "Assume Emily is a knight. No contradiction is found in their claim that Mia is a knight or Evelyn is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 3), ('lying', 1)), ('or', ('lying', 3), ('telling-truth', 0)), ('or', ('telling-truth', 1), ('lying', 3)), ('->', ('lying', 4), ('telling-truth', 1)), ('telling-truth', 0))", "index": 123}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Charlotte, Noah, Zoey, Jack, and Mia. Charlotte told you that Mia is a knave and Noah is a knight. Noah stated, \"Charlotte is a knave and Zoey is a knight\". Zoey noted, \"Noah is a knave and Charlotte is a knight\". \"Mia is not a knight,\" Jack mentioned. \"Charlotte is a knave and Zoey is a knight\" - Mia. So who is a knight and who is a knave?", "names": ["Charlotte", "Noah", "Zoey", "Jack", "Mia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true, false], "solution_text": "Charlotte is a knave, Noah is a knave, Zoey is a knave, Jack is a knight, and Mia is a knave.", "solution_text_format": "(1) Charlotte is a knave\n(2) Noah is a knave\n(3) Zoey is a knave\n(4) Jack is a knight\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 Charlotte is a knight. No contradiction is found in their claim that Mia is a knave and Noah is a knight.", "Mia cannot be a knight, because this would contradict the claim of Charlotte that Mia is a knave and Noah is a knight.", "Assume Mia is a knave. No contradiction is found in their false claim that Charlotte is a knave and Zoey is a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that Noah is a knave and Charlotte is a knight.", "Noah cannot be a knight, because this would contradict the claim of their own that Charlotte is a knave and Zoey is a knight.", "Noah cannot be a knave, because this would contradict the claim of Charlotte that Mia is a knave and Noah is a knight.", "We have exhausted all possibilities for Noah, so let us go back and reconsider Zoey.", "Assume Zoey is a knave. No contradiction is found in their false claim that Noah is a knave and Charlotte is a knight.", "Noah cannot be a knight, because this would contradict the claim of their own that Charlotte is a knave and Zoey is a knight.", "Noah cannot be a knave, because this would contradict the claim of Charlotte that Mia is a knave and Noah is a knight.", "We have exhausted all possibilities for Noah, Zoey, and Mia, so let us go back and reconsider Charlotte.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Mia is a knave and Noah is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that Charlotte is a knave and Zoey is a knight.", "Zoey cannot be a knight, because this would contradict the claim of their own that Noah is a knave and Charlotte is a knight.", "Zoey cannot be a knave, because this would contradict the claim of Mia that Charlotte is a knave and Zoey is a knight.", "We have exhausted all possibilities for Zoey, so let us go back and reconsider Mia.", "Assume Mia is a knave. No contradiction is found in their false claim that Charlotte is a knave and Zoey is a knight.", "Zoey cannot be a knight, because this would contradict the claim of their own that Noah is a knave and Charlotte is a knight.", "Assume Zoey is a knave. No contradiction is found in their false claim that Noah is a knave and Charlotte is a knight.", "Noah cannot be a knight, because this would contradict the false claim of Charlotte that Mia is a knave and Noah is a knight.", "Assume Noah is a knave. No contradiction is found in their false claim that Charlotte is a knave and Zoey is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that Mia is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 4), ('telling-truth', 1)), ('and', ('lying', 0), ('telling-truth', 2)), ('and', ('lying', 1), ('telling-truth', 0)), ('not', ('telling-truth', 4)), ('and', ('lying', 0), ('telling-truth', 2)))", "index": 124}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Avery, James, Daniel, Ella, and William. Avery said, \"William is a knave.\" James was heard saying, \"Ella is a knight or William is a knave\". Daniel commented, \"If Avery is a knight then Ella is a knight\". In a statement by Ella: \"Daniel is a knave\". According to William, \"Avery is a knave or Daniel is a knave\". So who is a knight and who is a knave?", "names": ["Avery", "James", "Daniel", "Ella", "William"], "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": "Avery is a knave, James is a knave, Daniel is a knight, Ella is a knave, and William is a knight.", "solution_text_format": "(1) Avery is a knave\n(2) James is a knave\n(3) Daniel is a knight\n(4) Ella is a knave\n(5) William is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Avery is a knight. No contradiction is found in their claim that William is a knave.", "William cannot be a knight, because this would contradict the claim of Avery that William is a knave.", "Assume William is a knave. No contradiction is found in their false claim that Avery is a knave or Daniel is a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that If Avery is a knight then Ella is a knight.", "Ella cannot be a knight, because this would contradict the claim of their own that Daniel is a knave.", "Ella cannot be a knave, because this would contradict the claim of Daniel that If Avery is a knight then Ella is a knight.", "We have exhausted all possibilities for Ella, so let us go back and reconsider Daniel.", "Daniel cannot be a knave, because this would contradict the false claim of William that Avery is a knave or Daniel is a knave.", "We have exhausted all possibilities for Daniel and William, so let us go back and reconsider Avery.", "Assume Avery is a knave. No contradiction is found in their false claim that William is a knave.", "Assume William is a knight. No contradiction is found in their claim that Avery is a knave or Daniel is a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that If Avery is a knight then Ella is a knight.", "Ella cannot be a knight, because this would contradict the claim of their own that Daniel is a knave.", "Assume Ella is a knave. No contradiction is found in their false claim that Daniel is a knave.", "James cannot be a knight, because this would contradict the claim of their own that Ella is a knight or William is a knave.", "Assume James is a knave. No contradiction is found in their false claim that Ella is a knight or William is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 4), ('or', ('telling-truth', 3), ('lying', 4)), ('->', ('telling-truth', 0), ('telling-truth', 3)), ('lying', 2), ('or', ('lying', 0), ('lying', 2)))", "index": 125}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Jack, Liam, Ethan, Amelia, and Harper. As Jack put it, \"Ethan is a knave or Amelia is a knave\". According to Liam, \"Ethan is a knight or Harper is a knight\". In a statement by Ethan: \"Jack is not a knave\". In a statement by Amelia: \"If Liam is a knight then Amelia is a knight\". In Harper's words: \"If Liam is a knave then Amelia is a knight\". So who is a knight and who is a knave?", "names": ["Jack", "Liam", "Ethan", "Amelia", "Harper"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false, true], "solution_text": "Jack is a knight, Liam is a knight, Ethan is a knight, Amelia is a knave, and Harper is a knight.", "solution_text_format": "(1) Jack is a knight\n(2) Liam is a knight\n(3) Ethan is a knight\n(4) Amelia is a knave\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 Jack is a knight. No contradiction is found in their claim that Ethan is a knave or Amelia is a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that Jack is not a knave.", "Amelia cannot be a knight, because this would contradict the claim of Jack that Ethan is a knave or Amelia is a knave.", "Assume Amelia is a knave. No contradiction is found in their false claim that If Liam is a knight then Amelia is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that Ethan is a knight or Harper is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that If Liam is a knave then Amelia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 2), ('lying', 3)), ('or', ('telling-truth', 2), ('telling-truth', 4)), ('not', ('lying', 0)), ('->', ('telling-truth', 1), ('telling-truth', 3)), ('->', ('lying', 1), ('telling-truth', 3)))", "index": 126}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Penelope, Michael, Daniel, Matthew, and Evelyn. \"Penelope is a knight and Michael is a knave,\" Penelope declared. \"Daniel is a knave or Daniel is a knight,\" Michael declared. Daniel commented, \"Penelope is a knave or Evelyn is a knave\". Matthew was heard saying, \"Penelope is a knight if and only if Daniel is a knight\". Evelyn stated, \"Penelope is a knight\". So who is a knight and who is a knave?", "names": ["Penelope", "Michael", "Daniel", "Matthew", "Evelyn"], "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": "Penelope is a knave, Michael is a knight, Daniel is a knight, Matthew is a knave, and Evelyn is a knave.", "solution_text_format": "(1) Penelope is a knave\n(2) Michael is a knight\n(3) Daniel is a knight\n(4) Matthew is a knave\n(5) 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 Penelope is a knight. No contradiction is found in their claim that Penelope is a knight and Michael is a knave.", "Michael cannot be a knight, because this would contradict the claim of Penelope that Penelope is a knight and Michael is a knave.", "Michael cannot be a knave, because this would contradict the false claim of their own that Daniel is a knave or Daniel is a knight.", "We have exhausted all possibilities for Michael, so let us go back and reconsider Penelope.", "Assume Penelope is a knave. No contradiction is found in their false claim that Penelope is a knight and Michael is a knave.", "Assume Michael is a knight. No contradiction is found in their claim that Daniel is a knave or Daniel is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that Penelope is a knave or Evelyn is a knave.", "Evelyn cannot be a knight, because this would contradict the claim of their own that Penelope is a knight.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Penelope is a knight.", "Matthew cannot be a knight, because this would contradict the claim of their own that Penelope is a knight if and only if Daniel is a knight.", "Assume Matthew is a knave. No contradiction is found in their false claim that Penelope is a knight if and only if Daniel is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 0), ('lying', 1)), ('or', ('lying', 2), ('telling-truth', 2)), ('or', ('lying', 0), ('lying', 4)), ('<=>', ('telling-truth', 0), ('telling-truth', 2)), ('telling-truth', 0))", "index": 127}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Sebastian, Noah, Benjamin, Henry, and Ava. Sebastian said that Ava is a knave if and only if Ava is a knight. Noah commented, \"Ava is a knave\". Benjamin was heard saying, \"Ava is a knave or Noah is a knight\". \"Ava is a knave,\" Henry mentioned. \"Sebastian is not a knave,\" Ava claimed. So who is a knight and who is a knave?", "names": ["Sebastian", "Noah", "Benjamin", "Henry", "Ava"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, false], "solution_text": "Sebastian is a knave, Noah is a knight, Benjamin is a knight, Henry is a knight, and Ava is a knave.", "solution_text_format": "(1) Sebastian is a knave\n(2) Noah is a knight\n(3) Benjamin is a knight\n(4) Henry 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": ["Sebastian cannot be a knight, because this would contradict the claim of their own that Ava is a knave if and only if Ava is a knight.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Ava is a knave if and only if Ava is a knight.", "Ava cannot be a knight, because this would contradict the claim of their own that Sebastian is not a knave.", "Assume Ava is a knave. No contradiction is found in their false claim that Sebastian is not a knave.", "Assume Noah is a knight. No contradiction is found in their claim that Ava is a knave.", "Assume Benjamin is a knight. No contradiction is found in their claim that Ava is a knave or Noah is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that Ava is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 4), ('telling-truth', 4)), ('lying', 4), ('or', ('lying', 4), ('telling-truth', 1)), ('lying', 4), ('not', ('lying', 0)))", "index": 128}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Mason, Liam, Owen, Isabella, and Emily. Mason remarked, \"Liam is a knave and Emily is a knave\". Liam said, \"Emily is a knave or Mason is a knight.\" Owen remarked, \"Liam is not a knight\". According to Isabella, \"If Owen is a knight then Liam is a knight\". Emily asserted: \"Mason is a knight or Mason is a knave\". So who is a knight and who is a knave?", "names": ["Mason", "Liam", "Owen", "Isabella", "Emily"], "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": "Mason is a knave, Liam is a knave, Owen is a knight, Isabella is a knave, and Emily is a knight.", "solution_text_format": "(1) Mason is a knave\n(2) Liam is a knave\n(3) Owen is a knight\n(4) Isabella is a knave\n(5) 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 Mason is a knight. No contradiction is found in their claim that Liam is a knave and Emily is a knave.", "Liam cannot be a knight, because this would contradict the claim of Mason that Liam is a knave and Emily is a knave.", "Liam cannot be a knave, because this would contradict the false claim of their own that Emily is a knave or Mason is a knight.", "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 Liam is a knave and Emily is a knave.", "Assume Liam is a knight. No contradiction is found in their claim that Emily is a knave or Mason is a knight.", "Emily cannot be a knight, because this would contradict the claim of Liam that Emily is a knave or Mason is a knight.", "Emily cannot be a knave, because this would contradict the false claim of their own that Mason is a knight or Mason is a knave.", "We have exhausted all possibilities for Emily, so let us go back and reconsider Liam.", "Assume Liam is a knave. No contradiction is found in their false claim that Emily is a knave or Mason is a knight.", "Assume Emily is a knight. No contradiction is found in their claim that Mason is a knight or Mason is a knave.", "Assume Owen is a knight. No contradiction is found in their claim that Liam is not a knight.", "Isabella cannot be a knight, because this would contradict the claim of their own that If Owen is a knight then Liam is a knight.", "Assume Isabella is a knave. No contradiction is found in their false claim that If Owen is a knight then Liam is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('lying', 4)), ('or', ('lying', 4), ('telling-truth', 0)), ('not', ('telling-truth', 1)), ('->', ('telling-truth', 2), ('telling-truth', 1)), ('or', ('telling-truth', 0), ('lying', 0)))", "index": 129}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Lily, Liam, Ella, Aiden, and Samuel. According to Lily, \"Liam is a knight or Samuel is a knave\". According to Liam, \"If Ella is a knave then Lily is a knave\". \"Liam is not a knave,\" Ella claimed. Aiden noted, \"Lily is not a knave\". Samuel asserted: \"Lily is not a knave\". So who is a knight and who is a knave?", "names": ["Lily", "Liam", "Ella", "Aiden", "Samuel"], "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": "Lily is a knight, Liam is a knight, Ella is a knight, Aiden is a knight, and Samuel is a knight.", "solution_text_format": "(1) Lily is a knight\n(2) Liam is a knight\n(3) Ella is a knight\n(4) Aiden is a knight\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 Lily is a knight. No contradiction is found in their claim that Liam is a knight or Samuel is a knave.", "Assume Liam is a knight. No contradiction is found in their claim that If Ella is a knave then Lily is a knave.", "Assume Ella is a knight. No contradiction is found in their claim that Liam is not a knave.", "Assume Samuel is a knight. No contradiction is found in their claim that Lily is not a knave.", "Assume Aiden 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": "(('or', ('telling-truth', 1), ('lying', 4)), ('->', ('lying', 2), ('lying', 0)), ('not', ('lying', 1)), ('not', ('lying', 0)), ('not', ('lying', 0)))", "index": 130}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Sofia, Benjamin, Olivia, Joseph, and Isabella. \"Sofia is a knight if and only if Benjamin is a knave,\" Sofia mentioned. \"Olivia is a knave,\" Benjamin declared. In Olivia's words: \"Olivia is a knight if and only if Isabella is a knight\". \"If Olivia is a knight then Benjamin is a knave,\" Joseph mentioned. \"Sofia is not a knight,\" Isabella mentioned. So who is a knight and who is a knave?", "names": ["Sofia", "Benjamin", "Olivia", "Joseph", "Isabella"], "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": "Sofia is a knave, Benjamin is a knave, Olivia is a knight, Joseph is a knight, and Isabella is a knight.", "solution_text_format": "(1) Sofia is a knave\n(2) Benjamin is a knave\n(3) Olivia is a knight\n(4) Joseph is a knight\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 Sofia is a knight. No contradiction is found in their claim that Sofia is a knight if and only if Benjamin is a knave.", "Benjamin cannot be a knight, because this would contradict the claim of Sofia that Sofia is a knight if and only if Benjamin is a knave.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Olivia is a knave.", "Assume Olivia is a knight. No contradiction is found in their claim that Olivia is a knight if and only if Isabella is a knight.", "Isabella cannot be a knight, because this would contradict the claim of their own that Sofia is not a knight.", "Isabella cannot be a knave, because this would contradict the claim of Olivia that Olivia is a knight if and only if Isabella is a knight.", "We have exhausted all possibilities for Isabella, so let us go back and reconsider Olivia.", "Olivia cannot be a knave, because this would contradict the false claim of Benjamin that Olivia is a knave.", "We have exhausted all possibilities for Olivia and Benjamin, so let us go back and reconsider Sofia.", "Assume Sofia is a knave. No contradiction is found in their false claim that Sofia is a knight if and only if Benjamin is a knave.", "Benjamin cannot be a knight, because this would contradict the false claim of Sofia that Sofia is a knight if and only if Benjamin is a knave.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Olivia is a knave.", "Assume Olivia is a knight. No contradiction is found in their claim that Olivia is a knight if and only if Isabella is a knight.", "Assume Isabella is a knight. No contradiction is found in their claim that Sofia is not a knight.", "Assume Joseph is a knight. No contradiction is found in their claim that If Olivia is a knight then Benjamin is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 0), ('lying', 1)), ('lying', 2), ('<=>', ('telling-truth', 2), ('telling-truth', 4)), ('->', ('telling-truth', 2), ('lying', 1)), ('not', ('telling-truth', 0)))", "index": 131}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Michael, William, Sophia, Samuel, and Riley. \"Samuel is a knave and Sophia is a knave,\" Michael claimed. William was heard saying, \"Samuel is a knight\". Sophia commented, \"Michael is a knave\". Samuel asserted: \"Michael is a knave if and only if Sophia is a knight\". Riley expressed that Michael is a knave. So who is a knight and who is a knave?", "names": ["Michael", "William", "Sophia", "Samuel", "Riley"], "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": "Michael is a knave, William is a knight, Sophia is a knight, Samuel is a knight, and Riley is a knight.", "solution_text_format": "(1) Michael is a knave\n(2) William is a knight\n(3) Sophia is a knight\n(4) Samuel 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 Michael is a knight. No contradiction is found in their claim that Samuel is a knave and Sophia is a knave.", "Samuel cannot be a knight, because this would contradict the claim of Michael that Samuel is a knave and Sophia is a knave.", "Assume Samuel is a knave. No contradiction is found in their false claim that Michael is a knave if and only if Sophia is a knight.", "Sophia cannot be a knight, because this would contradict the claim of Michael that Samuel is a knave and Sophia is a knave.", "Sophia cannot be a knave, because this would contradict the false claim of Samuel that Michael is a knave if and only if Sophia is a knight.", "We have exhausted all possibilities for Sophia and Samuel, so let us go back and reconsider Michael.", "Assume Michael is a knave. No contradiction is found in their false claim that Samuel is a knave and Sophia is a knave.", "Assume Samuel is a knight. No contradiction is found in their claim that Michael is a knave if and only if Sophia is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that Michael is a knave.", "Assume William is a knight. No contradiction is found in their claim that Samuel is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that Michael is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 3), ('lying', 2)), ('telling-truth', 3), ('lying', 0), ('<=>', ('lying', 0), ('telling-truth', 2)), ('lying', 0))", "index": 132}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Lily, Luke, Scarlett, James, and Penelope. Lily told you that Scarlett is not a knight. Luke told you that Scarlett is not a knight. \"James is a knight if and only if Luke is a knave,\" Scarlett mentioned. James expressed that Lily is a knave and Luke is a knave. Penelope commented, \"Luke is not a knave\". So who is a knight and who is a knave?", "names": ["Lily", "Luke", "Scarlett", "James", "Penelope"], "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": "Lily is a knave, Luke is a knave, Scarlett is a knight, James is a knight, and Penelope is a knave.", "solution_text_format": "(1) Lily is a knave\n(2) Luke is a knave\n(3) Scarlett is a knight\n(4) James 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 Lily is a knight. No contradiction is found in their claim that Scarlett is not a knight.", "Scarlett cannot be a knight, because this would contradict the claim of Lily that Scarlett is not a knight.", "Assume Scarlett is a knave. No contradiction is found in their false claim that James is a knight if and only if Luke is a knave.", "James cannot be a knight, because this would contradict the claim of their own that Lily is a knave and Luke is a knave.", "Assume James is a knave. No contradiction is found in their false claim that Lily is a knave and Luke is a knave.", "Luke cannot be a knight, because this would contradict the false claim of Scarlett that James is a knight if and only if Luke is a knave.", "Luke cannot be a knave, because this would contradict the false claim of their own that Scarlett is not a knight.", "We have exhausted all possibilities for Luke, James, and Scarlett, so let us go back and reconsider Lily.", "Assume Lily is a knave. No contradiction is found in their false claim that Scarlett is not a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that James is a knight if and only if Luke is a knave.", "Assume James is a knight. No contradiction is found in their claim that Lily is a knave and Luke is a knave.", "Luke cannot be a knight, because this would contradict the claim of their own that Scarlett is not a knight.", "Assume Luke is a knave. No contradiction is found in their false claim that Scarlett is not a knight.", "Penelope cannot be a knight, because this would contradict the claim of their own that Luke is not a knave.", "Assume Penelope is a knave. No contradiction is found in their false claim that Luke is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 2)), ('not', ('telling-truth', 2)), ('<=>', ('telling-truth', 3), ('lying', 1)), ('and', ('lying', 0), ('lying', 1)), ('not', ('lying', 1)))", "index": 133}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Grace, Mia, Aiden, Sebastian, and Elizabeth. Grace was heard saying, \"If Mia is a knave then Aiden is a knave\". Mia was heard saying, \"Sebastian is a knight or Grace is a knave\". Aiden told you that Grace is a knave and Sebastian is a knave. \"Mia is a knight or Elizabeth is a knave,\" Sebastian claimed. Elizabeth noted, \"Sebastian is not a knave\". So who is a knight and who is a knave?", "names": ["Grace", "Mia", "Aiden", "Sebastian", "Elizabeth"], "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": "Grace is a knight, Mia is a knight, Aiden is a knave, Sebastian is a knight, and Elizabeth is a knight.", "solution_text_format": "(1) Grace is a knight\n(2) Mia is a knight\n(3) Aiden is a knave\n(4) Sebastian 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 Grace is a knight. No contradiction is found in their claim that If Mia is a knave then Aiden is a knave.", "Assume Mia is a knight. No contradiction is found in their claim that Sebastian is a knight or Grace is a knave.", "Assume Sebastian is a knight. No contradiction is found in their claim that Mia is a knight or Elizabeth is a knave.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Sebastian is not a knave.", "Aiden cannot be a knight, because this would contradict the claim of their own that Grace is a knave and Sebastian is a knave.", "Assume Aiden is a knave. No contradiction is found in their false claim that Grace is a knave and Sebastian is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 1), ('lying', 2)), ('or', ('telling-truth', 3), ('lying', 0)), ('and', ('lying', 0), ('lying', 3)), ('or', ('telling-truth', 1), ('lying', 4)), ('not', ('lying', 3)))", "index": 134}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Liam, Jacob, Emily, Elizabeth, and Mason. Liam noted, \"If Emily is a knight then Liam is a knight\". \"Elizabeth is a knight,\" Jacob declared. Emily remarked, \"Elizabeth is a knight\". \"Liam is a knave if and only if Jacob is a knight,\" Elizabeth claimed. Mason stated, \"Liam is a knave or Jacob is a knight\". So who is a knight and who is a knave?", "names": ["Liam", "Jacob", "Emily", "Elizabeth", "Mason"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, true], "solution_text": "Liam is a knave, Jacob is a knight, Emily is a knight, Elizabeth is a knight, and Mason is a knight.", "solution_text_format": "(1) Liam is a knave\n(2) Jacob is a knight\n(3) Emily is a knight\n(4) Elizabeth is a knight\n(5) 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 Liam is a knight. No contradiction is found in their claim that If Emily is a knight then Liam is a knight.", "Assume Emily 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 Liam is a knave if and only if Jacob is a knight.", "Jacob cannot be a knight, because this would contradict the claim of Elizabeth that Liam is a knave if and only if Jacob is a knight.", "Jacob cannot be a knave, because this would contradict the false claim of their own that Elizabeth is a knight.", "We have exhausted all possibilities for Jacob, so let us go back and reconsider Elizabeth.", "Elizabeth cannot be a knave, because this would contradict the claim of Emily that Elizabeth is a knight.", "We have exhausted all possibilities for Elizabeth, so let us go back and reconsider Emily.", "Assume Emily is a knave. No contradiction is found in their false claim that Elizabeth is a knight.", "Elizabeth cannot be a knight, because this would contradict the false claim of Emily that Elizabeth is a knight.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Liam is a knave if and only if Jacob is a knight.", "Jacob cannot be a knight, because this would contradict the claim of their own that Elizabeth is a knight.", "Jacob cannot be a knave, because this would contradict the false claim of Elizabeth that Liam is a knave if and only if Jacob is a knight.", "We have exhausted all possibilities for Jacob, Elizabeth, and Emily, so let us go back and reconsider Liam.", "Assume Liam is a knave. No contradiction is found in their false claim that If Emily is a knight then Liam is a knight.", "Assume Emily 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 Liam is a knave if and only if Jacob is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that Elizabeth is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that Liam is a knave or Jacob is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 2), ('telling-truth', 0)), ('telling-truth', 3), ('telling-truth', 3), ('<=>', ('lying', 0), ('telling-truth', 1)), ('or', ('lying', 0), ('telling-truth', 1)))", "index": 135}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Logan, Jackson, Chloe, Liam, and Isabella. Logan was heard saying, \"Jackson is a knight or Chloe is a knight\". Jackson noted, \"Liam is a knave or Chloe is a knight\". Chloe expressed that Isabella is a knave. Liam remarked, \"Chloe is a knight or Isabella is a knight\". As Isabella put it, \"Logan is a knight and Chloe is a knave\". So who is a knight and who is a knave?", "names": ["Logan", "Jackson", "Chloe", "Liam", "Isabella"], "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": "Logan is a knight, Jackson is a knight, Chloe is a knight, Liam is a knight, and Isabella is a knave.", "solution_text_format": "(1) Logan is a knight\n(2) Jackson is a knight\n(3) Chloe is a knight\n(4) Liam 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 Logan is a knight. No contradiction is found in their claim that Jackson is a knight or Chloe is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that Liam is a knave or Chloe is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that Chloe is a knight or Isabella is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that Isabella is a knave.", "Isabella cannot be a knight, because this would contradict the claim of Chloe that Isabella is a knave.", "Assume Isabella is a knave. No contradiction is found in their false claim that Logan 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', ('lying', 3), ('telling-truth', 2)), ('lying', 4), ('or', ('telling-truth', 2), ('telling-truth', 4)), ('and', ('telling-truth', 0), ('lying', 2)))", "index": 136}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Lucas, Abigail, Olivia, Charlotte, and Matthew. \"Matthew is a knight and Charlotte is a knight,\" Lucas claimed. Abigail remarked, \"If Olivia is a knight then Matthew is a knight\". According to Olivia, \"If Lucas is a knight then Lucas is a knave\". Charlotte asserted: \"Charlotte is a knight if and only if Matthew is a knave\". As Matthew put it, \"Abigail is a knight or Charlotte is a knight\". So who is a knight and who is a knave?", "names": ["Lucas", "Abigail", "Olivia", "Charlotte", "Matthew"], "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": "Lucas is a knave, Abigail is a knave, Olivia is a knight, Charlotte is a knave, and Matthew is a knave.", "solution_text_format": "(1) Lucas is a knave\n(2) Abigail is a knave\n(3) Olivia is a knight\n(4) Charlotte 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 Lucas is a knight. No contradiction is found in their claim that Matthew is a knight and Charlotte is a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that Abigail is a knight or Charlotte is a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that If Olivia is a knight then Matthew is a knight.", "Olivia cannot be a knight, because this would contradict the claim of their own that If Lucas is a knight then Lucas is a knave.", "Assume Olivia is a knave. No contradiction is found in their false claim that If Lucas is a knight then Lucas is a knave.", "Charlotte cannot be a knight, because this would contradict the claim of their own that Charlotte is a knight if and only if Matthew is a knave.", "Charlotte cannot be a knave, because this would contradict the claim of Lucas that Matthew is a knight and Charlotte is a knight.", "We have exhausted all possibilities for Charlotte and Olivia, so let us go back and reconsider Abigail.", "Abigail cannot be a knave, because this would contradict the false claim of their own that If Olivia is a knight then Matthew is a knight.", "We have exhausted all possibilities for Abigail, so let us go back and reconsider Matthew.", "Matthew cannot be a knave, because this would contradict the claim of Lucas that Matthew is a knight and Charlotte 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 Charlotte is a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that Abigail is a knight or Charlotte is a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that If Olivia is a knight then Matthew is a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that If Lucas is a knight then Lucas is a knave.", "Charlotte cannot be a knight, because this would contradict the false claim of Lucas that Matthew is a knight and Charlotte is a knight.", "Charlotte cannot be a knave, because this would contradict the false claim of their own that Charlotte is a knight if and only if Matthew is a knave.", "We have exhausted all possibilities for Charlotte, so let us go back and reconsider Olivia.", "Olivia cannot be a knave, because this would contradict the false claim of their own that If Lucas is a knight then Lucas is a knave.", "We have exhausted all possibilities for Olivia, so let us go back and reconsider Abigail.", "Abigail cannot be a knave, because this would contradict the false claim of their own that If Olivia is a knight then Matthew is a knight.", "We have exhausted all possibilities for Abigail, so let us go back and reconsider Matthew.", "Assume Matthew is a knave. No contradiction is found in their false claim that Abigail is a knight or Charlotte is a knight.", "Abigail cannot be a knight, because this would contradict the false claim of Matthew that Abigail is a knight or Charlotte is a knight.", "Assume Abigail is a knave. No contradiction is found in their false claim that If Olivia is a knight then Matthew is a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that If Lucas is a knight then Lucas is a knave.", "Charlotte cannot be a knight, because this would contradict the false claim of Matthew that Abigail is a knight or Charlotte is a knight.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Charlotte is a knight if and only if Matthew is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 4), ('telling-truth', 3)), ('->', ('telling-truth', 2), ('telling-truth', 4)), ('->', ('telling-truth', 0), ('lying', 0)), ('<=>', ('telling-truth', 3), ('lying', 4)), ('or', ('telling-truth', 1), ('telling-truth', 3)))", "index": 137}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Lucas, Grace, Sophia, Luke, and Oliver. Lucas noted, \"Luke is a knight\". Grace stated, \"Luke is not a knave\". \"Lucas is a knave and Grace is a knight,\" Sophia declared. Luke commented, \"Lucas is a knave and Lucas is a knight\". In Oliver's words: \"Sophia is a knave\". So who is a knight and who is a knave?", "names": ["Lucas", "Grace", "Sophia", "Luke", "Oliver"], "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": "Lucas is a knave, Grace is a knave, Sophia is a knave, Luke is a knave, and Oliver is a knight.", "solution_text_format": "(1) Lucas is a knave\n(2) Grace is a knave\n(3) Sophia is a knave\n(4) Luke is a knave\n(5) Oliver is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Lucas is a knight. No contradiction is found in their claim that Luke is a knight.", "Luke cannot be a knight, because this would contradict the claim of their own that Lucas is a knave and Lucas is a knight.", "Luke cannot be a knave, because this would contradict the claim of Lucas that Luke is a knight.", "We have exhausted all possibilities for Luke, so let us go back and reconsider Lucas.", "Assume Lucas is a knave. No contradiction is found in their false claim that Luke is a knight.", "Luke cannot be a knight, because this would contradict the false claim of Lucas that Luke is a knight.", "Assume Luke is a knave. No contradiction is found in their false claim that Lucas is a knave and Lucas is a knight.", "Grace cannot be a knight, because this would contradict the claim of their own that Luke is not a knave.", "Assume Grace is a knave. No contradiction is found in their false claim that Luke is not a knave.", "Sophia cannot be a knight, because this would contradict the claim of their own that Lucas is a knave and Grace is a knight.", "Assume Sophia is a knave. No contradiction is found in their false claim that Lucas is a knave and Grace is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that Sophia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 3), ('not', ('lying', 3)), ('and', ('lying', 0), ('telling-truth', 1)), ('and', ('lying', 0), ('telling-truth', 0)), ('lying', 2))", "index": 138}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: James, Sophia, Ella, Riley, and Henry. James asserted: \"Henry is a knave and Ella is a knave\". In a statement by Sophia: \"If Sophia is a knight then Ella is a knave\". In Ella's words: \"Henry is a knight if and only if Ella is a knight\". \"If James is a knight then Ella is a knight\" - Riley. \"James is a knave,\" Henry claimed. So who is a knight and who is a knave?", "names": ["James", "Sophia", "Ella", "Riley", "Henry"], "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": "James is a knave, Sophia is a knight, Ella is a knave, Riley is a knight, and Henry is a knight.", "solution_text_format": "(1) James is a knave\n(2) Sophia is a knight\n(3) Ella is a knave\n(4) Riley is a knight\n(5) Henry is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume James is a knight. No contradiction is found in their claim that Henry is a knave and Ella is a knave.", "Henry cannot be a knight, because this would contradict the claim of James that Henry is a knave and Ella is a knave.", "Assume Henry is a knave. No contradiction is found in their false claim that James is a knave.", "Ella cannot be a knight, because this would contradict the claim of James that Henry is a knave and Ella is a knave.", "Ella cannot be a knave, because this would contradict the false claim of their own that Henry is a knight if and only if Ella is a knight.", "We have exhausted all possibilities for Ella and Henry, so let us go back and reconsider James.", "Assume James is a knave. No contradiction is found in their false claim that Henry is a knave and Ella is a knave.", "Assume Henry is a knight. No contradiction is found in their claim that James is a knave.", "Assume Ella is a knight. No contradiction is found in their claim that Henry is a knight if and only if Ella is a knight.", "Sophia cannot be a knight, because this would contradict the claim of their own that If Sophia is a knight then Ella is a knave.", "Sophia cannot be a knave, because this would contradict the false claim of their own that If Sophia is a knight then Ella is a knave.", "We have exhausted all possibilities for Sophia, so let us go back and reconsider Ella.", "Assume Ella is a knave. No contradiction is found in their false claim that Henry is a knight if and only if Ella is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that If Sophia is a knight then Ella is a knave.", "Assume Riley is a knight. No contradiction is found in their claim that If James is a knight then Ella is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 4), ('lying', 2)), ('->', ('telling-truth', 1), ('lying', 2)), ('<=>', ('telling-truth', 4), ('telling-truth', 2)), ('->', ('telling-truth', 0), ('telling-truth', 2)), ('lying', 0))", "index": 139}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Chloe, Jack, Lily, Alexander, and William. Chloe commented, \"William is a knave\". Jack said, \"Alexander is a knave.\" In Lily's words: \"If William is a knight then William is a knave\". \"Lily is a knave if and only if Jack is a knave\" - Alexander. \"Alexander is a knight or Lily is a knight,\" William claimed. So who is a knight and who is a knave?", "names": ["Chloe", "Jack", "Lily", "Alexander", "William"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true, true], "solution_text": "Chloe is a knave, Jack is a knave, Lily is a knave, Alexander is a knight, and William is a knight.", "solution_text_format": "(1) Chloe is a knave\n(2) Jack is a knave\n(3) Lily is a knave\n(4) Alexander is a knight\n(5) William is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Chloe is a knight. No contradiction is found in their claim that William is a knave.", "William cannot be a knight, because this would contradict the claim of Chloe that William is a knave.", "Assume William is a knave. No contradiction is found in their false claim that Alexander is a knight or Lily is a knight.", "Alexander cannot be a knight, because this would contradict the false claim of William that Alexander is a knight or Lily is a knight.", "Assume Alexander is a knave. No contradiction is found in their false claim that Lily is a knave if and only if Jack is a knave.", "Lily cannot be a knight, because this would contradict the false claim of William that Alexander is a knight or Lily is a knight.", "Lily cannot be a knave, because this would contradict the false claim of their own that If William is a knight then William is a knave.", "We have exhausted all possibilities for Lily, Alexander, and William, so let us go back and reconsider Chloe.", "Assume Chloe is a knave. No contradiction is found in their false claim that William is a knave.", "Assume William is a knight. No contradiction is found in their claim that Alexander is a knight or Lily is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that Lily is a knave if and only if Jack is a knave.", "Lily cannot be a knight, because this would contradict the claim of their own that If William is a knight then William is a knave.", "Assume Lily is a knave. No contradiction is found in their false claim that If William is a knight then William is a knave.", "Jack cannot be a knight, because this would contradict the claim of their own that Alexander is a knave.", "Assume Jack is a knave. No contradiction is found in their false claim that Alexander is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 4), ('lying', 3), ('->', ('telling-truth', 4), ('lying', 4)), ('<=>', ('lying', 2), ('lying', 1)), ('or', ('telling-truth', 3), ('telling-truth', 2)))", "index": 140}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Sophia, Jackson, Noah, Elizabeth, and Aurora. \"Aurora is not a knave\" - Sophia. Jackson was heard saying, \"Noah is a knave and Aurora is a knave\". In a statement by Noah: \"If Jackson is a knave then Aurora is a knave\". \"Noah is a knight and Noah is a knave,\" Elizabeth declared. Aurora said that Elizabeth is a knight if and only if Jackson is a knight. So who is a knight and who is a knave?", "names": ["Sophia", "Jackson", "Noah", "Elizabeth", "Aurora"], "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": "Sophia is a knight, Jackson is a knave, Noah is a knave, Elizabeth is a knave, and Aurora is a knight.", "solution_text_format": "(1) Sophia is a knight\n(2) Jackson is a knave\n(3) Noah is a knave\n(4) Elizabeth 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 Sophia is a knight. No contradiction is found in their claim that Aurora is not a knave.", "Assume Aurora is a knight. No contradiction is found in their claim that Elizabeth is a knight if and only if Jackson is a knight.", "Elizabeth cannot be a knight, because this would contradict the claim of their own that Noah is a knight and Noah is a knave.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Noah is a knight and Noah is a knave.", "Assume Noah is a knight. No contradiction is found in their claim that If Jackson is a knave then Aurora is a knave.", "Jackson cannot be a knight, because this would contradict the claim of their own that Noah is a knave and Aurora is a knave.", "Jackson cannot be a knave, because this would contradict the claim of Noah that If Jackson is a knave then Aurora is a knave.", "We have exhausted all possibilities for Jackson, so let us go back and reconsider Noah.", "Assume Noah is a knave. No contradiction is found in their false claim that If Jackson is a knave then Aurora is a knave.", "Jackson cannot be a knight, because this would contradict the claim of their own that Noah is a knave and Aurora is a knave.", "Assume Jackson is a knave. No contradiction is found in their false claim that Noah is a knave and Aurora is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 4)), ('and', ('lying', 2), ('lying', 4)), ('->', ('lying', 1), ('lying', 4)), ('and', ('telling-truth', 2), ('lying', 2)), ('<=>', ('telling-truth', 3), ('telling-truth', 1)))", "index": 141}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Luke, James, Lily, Samuel, and Henry. Luke told you that If Luke is a knight then Henry is a knave. As James put it, \"Henry is not a knave\". Lily stated, \"Luke is a knight and Luke is a knave\". According to Samuel, \"Samuel is a knight if and only if James is a knave\". Henry said, \"Samuel is a knave if and only if Henry is a knight.\" So who is a knight and who is a knave?", "names": ["Luke", "James", "Lily", "Samuel", "Henry"], "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": "Luke is a knight, James is a knave, Lily is a knave, Samuel is a knave, and Henry is a knave.", "solution_text_format": "(1) Luke is a knight\n(2) James is a knave\n(3) Lily is a knave\n(4) Samuel is a knave\n(5) Henry is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Luke is a knight. No contradiction is found in their claim that If Luke is a knight then Henry is a knave.", "Henry cannot be a knight, because this would contradict the claim of Luke that If Luke is a knight then Henry is a knave.", "Assume Henry is a knave. No contradiction is found in their false claim that Samuel is a knave if and only if Henry is a knight.", "Samuel cannot be a knight, because this would contradict the false claim of Henry that Samuel is a knave if and only if Henry is a knight.", "Assume Samuel is a knave. No contradiction is found in their false claim that Samuel is a knight if and only if James is a knave.", "James cannot be a knight, because this would contradict the claim of their own that Henry is not a knave.", "Assume James is a knave. No contradiction is found in their false claim that Henry is not a knave.", "Lily cannot be a knight, because this would contradict the claim of their own that Luke is a knight and Luke is a knave.", "Assume Lily is a knave. No contradiction is found in their false claim that Luke is a knight and Luke is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 0), ('lying', 4)), ('not', ('lying', 4)), ('and', ('telling-truth', 0), ('lying', 0)), ('<=>', ('telling-truth', 3), ('lying', 1)), ('<=>', ('lying', 3), ('telling-truth', 4)))", "index": 142}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Sofia, Mason, Owen, Emily, and Sebastian. Sofia was heard saying, \"Mason is a knight or Sebastian is a knight\". Mason said, \"Sebastian is a knave and Emily is a knave.\" In Owen's words: \"If Emily is a knave then Sofia is a knave\". In Emily's words: \"Sebastian is a knave or Sofia is a knight\". According to Sebastian, \"Sofia is a knave or Sebastian is a knight\". So who is a knight and who is a knave?", "names": ["Sofia", "Mason", "Owen", "Emily", "Sebastian"], "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": "Sofia is a knight, Mason is a knave, Owen is a knight, Emily is a knight, and Sebastian is a knight.", "solution_text_format": "(1) Sofia is a knight\n(2) Mason is a knave\n(3) Owen is a knight\n(4) Emily is a knight\n(5) Sebastian is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sofia is a knight. No contradiction is found in their claim that Mason is a knight or Sebastian is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that Sebastian is a knave and Emily is a knave.", "Sebastian cannot be a knight, because this would contradict the claim of Mason that Sebastian is a knave and Emily is a knave.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Sofia is a knave or Sebastian is a knight.", "Emily cannot be a knight, because this would contradict the claim of Mason that Sebastian is a knave and Emily is a knave.", "Emily cannot be a knave, because this would contradict the false claim of their own that Sebastian is a knave or Sofia is a knight.", "We have exhausted all possibilities for Emily and Sebastian, so let us go back and reconsider Mason.", "Assume Mason is a knave. No contradiction is found in their false claim that Sebastian is a knave and Emily is a knave.", "Assume Sebastian is a knight. No contradiction is found in their claim that Sofia is a knave or Sebastian is a knight.", "Assume Emily is a knight. No contradiction is found in their claim that Sebastian is a knave or Sofia is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that If Emily is a knave then Sofia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 1), ('telling-truth', 4)), ('and', ('lying', 4), ('lying', 3)), ('->', ('lying', 3), ('lying', 0)), ('or', ('lying', 4), ('telling-truth', 0)), ('or', ('lying', 0), ('telling-truth', 4)))", "index": 143}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Amelia, Scarlett, Victoria, Lucas, and Henry. As Amelia put it, \"Scarlett is a knight if and only if Scarlett is a knave\". According to Scarlett, \"Amelia is not a knave\". In a statement by Victoria: \"Scarlett is a knave or Victoria is a knight\". Lucas expressed that If Henry is a knight then Henry is a knave. \"Scarlett is a knight and Amelia is a knight,\" Henry mentioned. So who is a knight and who is a knave?", "names": ["Amelia", "Scarlett", "Victoria", "Lucas", "Henry"], "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": "Amelia is a knave, Scarlett is a knave, Victoria is a knight, Lucas is a knight, and Henry is a knave.", "solution_text_format": "(1) Amelia is a knave\n(2) Scarlett is a knave\n(3) Victoria is a knight\n(4) Lucas is a knight\n(5) Henry is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Amelia cannot be a knight, because this would contradict the claim of their own that Scarlett is a knight if and only if Scarlett is a knave.", "Assume Amelia 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 Amelia is not a knave.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Amelia is not a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that Scarlett is a knave or Victoria is a knight.", "Assume Lucas 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 Lucas 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 Scarlett is a knight and Amelia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('lying', 1)), ('not', ('lying', 0)), ('or', ('lying', 1), ('telling-truth', 2)), ('->', ('telling-truth', 4), ('lying', 4)), ('and', ('telling-truth', 1), ('telling-truth', 0)))", "index": 144}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Evelyn, Chloe, Sofia, Abigail, and Emily. Evelyn noted, \"Chloe is a knight and Sofia is a knight\". As Chloe put it, \"Emily is a knight if and only if Sofia is a knave\". Sofia remarked, \"Abigail is a knight or Sofia is a knight\". In Abigail's words: \"If Evelyn is a knave then Emily is a knight\". Emily commented, \"Chloe is a knave and Abigail is a knave\". So who is a knight and who is a knave?", "names": ["Evelyn", "Chloe", "Sofia", "Abigail", "Emily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, false], "solution_text": "Evelyn is a knight, Chloe is a knight, Sofia is a knight, Abigail is a knight, and Emily is a knave.", "solution_text_format": "(1) Evelyn is a knight\n(2) Chloe is a knight\n(3) Sofia is a knight\n(4) Abigail 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 Evelyn is a knight. No contradiction is found in their claim that Chloe is a knight and Sofia is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that Emily is a knight if and only if Sofia is a knave.", "Emily cannot be a knight, because this would contradict the claim of their own that Chloe is a knave and Abigail is a knave.", "Assume Emily is a knave. No contradiction is found in their false claim that Chloe is a knave and Abigail is a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that If Evelyn is a knave then Emily is a knight.", "Assume Sofia is a knight. No contradiction is found in their claim that Abigail is a knight or Sofia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('telling-truth', 2)), ('<=>', ('telling-truth', 4), ('lying', 2)), ('or', ('telling-truth', 3), ('telling-truth', 2)), ('->', ('lying', 0), ('telling-truth', 4)), ('and', ('lying', 1), ('lying', 3)))", "index": 145}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Benjamin, Alexander, Daniel, Aurora, and Joseph. Benjamin remarked, \"Aurora is a knight\". Alexander told you that If Joseph is a knave then Joseph is a knight. In a statement by Daniel: \"Benjamin is a knave or Daniel is a knight\". Aurora was heard saying, \"Joseph is a knight if and only if Benjamin is a knight\". \"Daniel is a knave if and only if Aurora is a knave\" - Joseph. So who is a knight and who is a knave?", "names": ["Benjamin", "Alexander", "Daniel", "Aurora", "Joseph"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, true], "solution_text": "Benjamin is a knight, Alexander is a knight, Daniel is a knight, Aurora is a knight, and Joseph is a knight.", "solution_text_format": "(1) Benjamin is a knight\n(2) Alexander is a knight\n(3) Daniel is a knight\n(4) Aurora is a knight\n(5) Joseph is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Benjamin is a knight. No contradiction is found in their claim that Aurora is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that Joseph is a knight if and only if Benjamin is a knight.", "Assume Joseph is a knight. No contradiction is found in their claim that Daniel is a knave if and only if Aurora is a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that Benjamin is a knave or Daniel is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that If Joseph is a knave then Joseph is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 3), ('->', ('lying', 4), ('telling-truth', 4)), ('or', ('lying', 0), ('telling-truth', 2)), ('<=>', ('telling-truth', 4), ('telling-truth', 0)), ('<=>', ('lying', 2), ('lying', 3)))", "index": 146}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Sophia, Ella, Owen, Charlotte, and Chloe. As Sophia put it, \"Charlotte is a knight or Owen is a knight\". Ella was heard saying, \"Charlotte is a knave and Sophia is a knave\". Owen remarked, \"Charlotte is a knave if and only if Chloe is a knight\". Charlotte was heard saying, \"If Ella is a knight then Charlotte is a knight\". Chloe remarked, \"Chloe is a knight if and only if Ella is a knight\". So who is a knight and who is a knave?", "names": ["Sophia", "Ella", "Owen", "Charlotte", "Chloe"], "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": "Sophia is a knave, Ella is a knight, Owen is a knave, Charlotte is a knave, and Chloe is a knave.", "solution_text_format": "(1) Sophia is a knave\n(2) Ella is a knight\n(3) Owen is a knave\n(4) Charlotte is a knave\n(5) Chloe is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sophia is a knight. No contradiction is found in their claim that Charlotte is a knight or Owen is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that If Ella is a knight then Charlotte is a knight.", "Ella cannot be a knight, because this would contradict the claim of their own that Charlotte is a knave and Sophia is a knave.", "Assume Ella is a knave. No contradiction is found in their false claim that Charlotte is a knave and Sophia is a knave.", "Assume Owen is a knight. No contradiction is found in their claim that Charlotte is a knave if and only if Chloe is a knight.", "Chloe cannot be a knight, because this would contradict the claim of Owen that Charlotte is a knave if and only if Chloe is a knight.", "Chloe cannot be a knave, because this would contradict the false claim of their own that Chloe is a knight if and only if Ella is a knight.", "We have exhausted all possibilities for Chloe, so let us go back and reconsider Owen.", "Assume Owen is a knave. No contradiction is found in their false claim that Charlotte is a knave if and only if Chloe is a knight.", "Chloe cannot be a knight, because this would contradict the claim of their own that Chloe is a knight if and only if Ella is a knight.", "Chloe cannot be a knave, because this would contradict the false claim of Owen that Charlotte is a knave if and only if Chloe is a knight.", "We have exhausted all possibilities for Chloe, Owen, and Ella, so let us go back and reconsider Charlotte.", "Assume Charlotte is a knave. No contradiction is found in their false claim that If Ella is a knight then Charlotte is a knight.", "Ella cannot be a knight, because this would contradict the claim of their own that Charlotte is a knave and Sophia is a knave.", "Ella cannot be a knave, because this would contradict the false claim of Charlotte that If Ella is a knight then Charlotte is a knight.", "We have exhausted all possibilities for Ella and Charlotte, so let us go back and reconsider Sophia.", "Assume Sophia is a knave. No contradiction is found in their false claim that Charlotte is a knight or Owen is a knight.", "Charlotte cannot be a knight, because this would contradict the false claim of Sophia that Charlotte is a knight or Owen is a knight.", "Assume Charlotte is a knave. No contradiction is found in their false claim that If Ella is a knight then Charlotte is a knight.", "Assume Ella is a knight. No contradiction is found in their claim that Charlotte is a knave and Sophia is a knave.", "Owen cannot be a knight, because this would contradict the false claim of Sophia that Charlotte is a knight or Owen is a knight.", "Assume Owen is a knave. No contradiction is found in their false claim that Charlotte is a knave if and only if Chloe is a knight.", "Chloe cannot be a knight, because this would contradict the false claim of Owen that Charlotte is a knave if and only if Chloe is a knight.", "Assume Chloe is a knave. No contradiction is found in their false claim that Chloe is a knight if and only if Ella is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 3), ('telling-truth', 2)), ('and', ('lying', 3), ('lying', 0)), ('<=>', ('lying', 3), ('telling-truth', 4)), ('->', ('telling-truth', 1), ('telling-truth', 3)), ('<=>', ('telling-truth', 4), ('telling-truth', 1)))", "index": 147}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: David, William, Aurora, Liam, and Logan. David told you that William is a knave or Aurora is a knave. William told you that If David is a knave then Liam is a knight. \"David is a knight if and only if Aurora is a knight,\" Aurora claimed. Liam told you that Logan is a knave. Logan remarked, \"William is a knight if and only if William is a knave\". So who is a knight and who is a knave?", "names": ["David", "William", "Aurora", "Liam", "Logan"], "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": "David is a knight, William is a knight, Aurora is a knave, Liam is a knight, and Logan is a knave.", "solution_text_format": "(1) David is a knight\n(2) William is a knight\n(3) Aurora is a knave\n(4) Liam is a knight\n(5) Logan is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume David is a knight. No contradiction is found in their claim that William is a knave or Aurora is a knave.", "Assume William is a knight. No contradiction is found in their claim that If David is a knave then Liam is a knight.", "Assume Liam 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 Liam that Logan is a knave.", "Assume Logan is a knave. No contradiction is found in their false claim that William is a knight if and only if William is a knave.", "Aurora cannot be a knight, because this would contradict the claim of David that William is a knave or Aurora is a knave.", "Assume Aurora is a knave. No contradiction is found in their false claim that David is a knight if and only if Aurora is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('lying', 2)), ('->', ('lying', 0), ('telling-truth', 3)), ('<=>', ('telling-truth', 0), ('telling-truth', 2)), ('lying', 4), ('<=>', ('telling-truth', 1), ('lying', 1)))", "index": 148}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Charlotte, Abigail, Grace, Mia, and Scarlett. \"If Grace is a knave then Mia is a knight\" - Charlotte. \"Scarlett is a knave if and only if Mia is a knight\" - Abigail. In a statement by Grace: \"Scarlett is a knave\". \"Grace is a knight if and only if Scarlett is a knight,\" Mia mentioned. Scarlett noted, \"Mia is not a knight\". So who is a knight and who is a knave?", "names": ["Charlotte", "Abigail", "Grace", "Mia", "Scarlett"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false, true], "solution_text": "Charlotte is a knave, Abigail is a knight, Grace is a knave, Mia is a knave, and Scarlett is a knight.", "solution_text_format": "(1) Charlotte is a knave\n(2) Abigail is a knight\n(3) Grace is a knave\n(4) Mia 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 Charlotte is a knight. No contradiction is found in their claim that If Grace is a knave then Mia is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that Scarlett is a knave.", "Scarlett cannot be a knight, because this would contradict the claim of Grace that Scarlett is a knave.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Mia is not a knight.", "Mia cannot be a knight, because this would contradict the claim of their own that Grace is a knight if and only if Scarlett is a knight.", "Mia cannot be a knave, because this would contradict the false claim of Scarlett that Mia is not a knight.", "We have exhausted all possibilities for Mia and Scarlett, so let us go back and reconsider Grace.", "Assume Grace is a knave. No contradiction is found in their false claim that Scarlett is a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that Mia is not a knight.", "Mia cannot be a knight, because this would contradict the claim of their own that Grace is a knight if and only if Scarlett is a knight.", "Mia cannot be a knave, because this would contradict the claim of Charlotte that If Grace is a knave then Mia is a knight.", "We have exhausted all possibilities for Mia, so let us go back and reconsider Scarlett.", "Scarlett cannot be a knave, because this would contradict the false claim of Grace that Scarlett is a knave.", "We have exhausted all possibilities for Scarlett and Grace, so let us go back and reconsider Charlotte.", "Assume Charlotte is a knave. No contradiction is found in their false claim that If Grace is a knave then Mia is a knight.", "Grace cannot be a knight, because this would contradict the false claim of Charlotte that If Grace is a knave then Mia is a knight.", "Assume Grace is a knave. No contradiction is found in their false claim that Scarlett is a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that Mia is not a knight.", "Mia cannot be a knight, because this would contradict the false claim of Charlotte that If Grace is a knave then Mia is a knight.", "Assume Mia is a knave. No contradiction is found in their false claim that Grace is a knight if and only if Scarlett is a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that Scarlett is a knave if and only if Mia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 2), ('telling-truth', 3)), ('<=>', ('lying', 4), ('telling-truth', 3)), ('lying', 4), ('<=>', ('telling-truth', 2), ('telling-truth', 4)), ('not', ('telling-truth', 3)))", "index": 149}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Joseph, Lily, Benjamin, Chloe, and Harper. \"Joseph is a knight and Chloe is a knave,\" Joseph declared. \"If Lily is a knight then Joseph is a knave,\" Lily claimed. Benjamin remarked, \"Joseph is a knave if and only if Chloe is a knight\". Chloe stated, \"If Harper is a knave then Benjamin is a knight\". Harper noted, \"Benjamin is not a knight\". So who is a knight and who is a knave?", "names": ["Joseph", "Lily", "Benjamin", "Chloe", "Harper"], "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": "Joseph is a knave, Lily is a knight, Benjamin is a knight, Chloe is a knight, and Harper is a knave.", "solution_text_format": "(1) Joseph is a knave\n(2) Lily is a knight\n(3) Benjamin is a knight\n(4) Chloe 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 Joseph is a knight. No contradiction is found in their claim that Joseph is a knight and Chloe is a knave.", "Chloe cannot be a knight, because this would contradict the claim of Joseph that Joseph is a knight and Chloe is a knave.", "Assume Chloe is a knave. No contradiction is found in their false claim that If Harper is a knave then Benjamin is a knight.", "Harper cannot be a knight, because this would contradict the false claim of Chloe that If Harper is a knave then Benjamin is a knight.", "Assume Harper is a knave. No contradiction is found in their false claim that Benjamin is not a knight.", "Benjamin cannot be a knight, because this would contradict the false claim of Chloe that If Harper is a knave then Benjamin is a knight.", "Benjamin cannot be a knave, because this would contradict the false claim of their own that Joseph is a knave if and only if Chloe is a knight.", "We have exhausted all possibilities for Benjamin, Harper, and Chloe, so let us go back and reconsider Joseph.", "Assume Joseph is a knave. No contradiction is found in their false claim that Joseph is a knight and Chloe is a knave.", "Assume Chloe is a knight. No contradiction is found in their claim that If Harper is a knave then Benjamin is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that Benjamin is not a knight.", "Benjamin cannot be a knight, because this would contradict the claim of Harper that Benjamin is not a knight.", "Benjamin cannot be a knave, because this would contradict the false claim of their own that Joseph is a knave if and only if Chloe is a knight.", "We have exhausted all possibilities for Benjamin, so let us go back and reconsider Harper.", "Assume Harper is a knave. No contradiction is found in their false claim that Benjamin is not a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that Joseph is a knave if and only if Chloe is a knight.", "Assume Lily is a knight. No contradiction is found in their claim that If Lily is a knight then Joseph is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 0), ('lying', 3)), ('->', ('telling-truth', 1), ('lying', 0)), ('<=>', ('lying', 0), ('telling-truth', 3)), ('->', ('lying', 4), ('telling-truth', 2)), ('not', ('telling-truth', 2)))", "index": 150}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Sebastian, Aurora, Henry, Ava, and Emily. \"Henry is a knave and Sebastian is a knight,\" Sebastian mentioned. Aurora commented, \"If Henry is a knight then Ava is a knave\". In Henry's words: \"Emily is not a knight\". Ava stated, \"Henry is a knight if and only if Aurora is a knave\". Emily asserted: \"Henry is a knight if and only if Aurora is a knight\". So who is a knight and who is a knave?", "names": ["Sebastian", "Aurora", "Henry", "Ava", "Emily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true, false], "solution_text": "Sebastian is a knave, Aurora is a knave, Henry is a knight, Ava is a knight, and Emily is a knave.", "solution_text_format": "(1) Sebastian is a knave\n(2) Aurora is a knave\n(3) Henry is a knight\n(4) Ava 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 Sebastian is a knight. No contradiction is found in their claim that Henry is a knave and Sebastian is a knight.", "Henry cannot be a knight, because this would contradict the claim of Sebastian that Henry is a knave and Sebastian is a knight.", "Assume Henry is a knave. No contradiction is found in their false claim that Emily is not a knight.", "Assume Emily is a knight. No contradiction is found in their claim that Henry is a knight if and only if Aurora is a knight.", "Aurora cannot be a knight, because this would contradict the claim of Emily that Henry is a knight if and only if Aurora is a knight.", "Aurora cannot be a knave, because this would contradict the false claim of their own that If Henry is a knight then Ava is a knave.", "We have exhausted all possibilities for Aurora, so let us go back and reconsider Emily.", "Emily cannot be a knave, because this would contradict the false claim of Henry that Emily is not a knight.", "We have exhausted all possibilities for Emily and Henry, so let us go back and reconsider Sebastian.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Henry is a knave and Sebastian is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that Emily is not a knight.", "Emily cannot be a knight, because this would contradict the claim of Henry that Emily is not a knight.", "Assume Emily is a knave. No contradiction is found in their false claim that Henry is a knight if and only if Aurora is a knight.", "Aurora cannot be a knight, because this would contradict the false claim of Emily that Henry is a knight if and only if Aurora is a knight.", "Assume Aurora is a knave. No contradiction is found in their false claim that If Henry is a knight then Ava is a knave.", "Assume Ava is a knight. No contradiction is found in their claim that Henry is a knight if and only if Aurora is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('telling-truth', 0)), ('->', ('telling-truth', 2), ('lying', 3)), ('not', ('telling-truth', 4)), ('<=>', ('telling-truth', 2), ('lying', 1)), ('<=>', ('telling-truth', 2), ('telling-truth', 1)))", "index": 151}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Ella, Zoey, Logan, Emily, and Michael. Ella remarked, \"Zoey is a knave and Zoey is a knight\". Zoey expressed that Ella is a knight and Zoey is a knight. Logan noted, \"If Ella is a knave then Zoey is a knave\". Emily expressed that Ella is a knave and Michael is a knight. \"If Emily is a knave then Zoey is a knave,\" Michael claimed. So who is a knight and who is a knave?", "names": ["Ella", "Zoey", "Logan", "Emily", "Michael"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true, true], "solution_text": "Ella is a knave, Zoey is a knave, Logan is a knight, Emily is a knight, and Michael is a knight.", "solution_text_format": "(1) Ella is a knave\n(2) Zoey is a knave\n(3) Logan is a knight\n(4) Emily is a knight\n(5) Michael is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Ella cannot be a knight, because this would contradict the claim of their own that Zoey is a knave and Zoey is a knight.", "Assume Ella is a knave. No contradiction is found in their false claim that Zoey is a knave and Zoey is a knight.", "Zoey cannot be a knight, because this would contradict the claim of their own that Ella is a knight and Zoey is a knight.", "Assume Zoey is a knave. No contradiction is found in their false claim that Ella is a knight and Zoey is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that If Ella is a knave then Zoey is a knave.", "Assume Emily is a knight. No contradiction is found in their claim that Ella is a knave and Michael is a knight.", "Assume Michael is a knight. No contradiction is found in their claim that If Emily is a knave then Zoey is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('telling-truth', 1)), ('and', ('telling-truth', 0), ('telling-truth', 1)), ('->', ('lying', 0), ('lying', 1)), ('and', ('lying', 0), ('telling-truth', 4)), ('->', ('lying', 3), ('lying', 1)))", "index": 152}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Matthew, Emma, Jackson, William, and Jack. \"Jackson is a knight if and only if William is a knave,\" Matthew mentioned. Emma was heard saying, \"Matthew is a knight\". Jackson commented, \"Emma is a knight and Emma is a knave\". As William put it, \"If Jack is a knave then Emma is a knave\". Jack said, \"Jack is a knight and William is a knight.\" So who is a knight and who is a knave?", "names": ["Matthew", "Emma", "Jackson", "William", "Jack"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true, true], "solution_text": "Matthew is a knight, Emma is a knight, Jackson is a knave, William is a knight, and Jack is a knight.", "solution_text_format": "(1) Matthew is a knight\n(2) Emma is a knight\n(3) Jackson is a knave\n(4) William 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 Matthew is a knight. No contradiction is found in their claim that Jackson is a knight if and only if William is a knave.", "Jackson cannot be a knight, because this would contradict the claim of their own that Emma is a knight and Emma is a knave.", "Assume Jackson is a knave. No contradiction is found in their false claim that Emma is a knight and Emma is a knave.", "Assume Emma is a knight. No contradiction is found in their claim that Matthew is a knight.", "Assume William is a knight. No contradiction is found in their claim that If Jack is a knave then Emma is a knave.", "Assume Jack is a knight. No contradiction is found in their claim that Jack is a knight and William is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 2), ('lying', 3)), ('telling-truth', 0), ('and', ('telling-truth', 1), ('lying', 1)), ('->', ('lying', 4), ('lying', 1)), ('and', ('telling-truth', 4), ('telling-truth', 3)))", "index": 153}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Noah, Aria, Jackson, Abigail, and Zoey. Noah was heard saying, \"Zoey is a knight and Noah is a knight\". Aria told you that If Noah is a knight then Jackson is a knight. Jackson remarked, \"Noah is a knave and Aria is a knave\". Abigail noted, \"Noah is a knight or Aria is a knight\". \"Aria is a knight and Noah is a knave,\" Zoey declared. So who is a knight and who is a knave?", "names": ["Noah", "Aria", "Jackson", "Abigail", "Zoey"], "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": "Noah is a knave, Aria is a knight, Jackson is a knave, Abigail is a knight, and Zoey is a knight.", "solution_text_format": "(1) Noah is a knave\n(2) Aria is a knight\n(3) Jackson is a knave\n(4) Abigail is a knight\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 Noah is a knight. No contradiction is found in their claim that Zoey is a knight and Noah is a knight.", "Zoey cannot be a knight, because this would contradict the claim of their own that Aria is a knight and Noah is a knave.", "Zoey cannot be a knave, because this would contradict the claim of Noah that Zoey is a knight and Noah is a knight.", "We have exhausted all possibilities for Zoey, so let us go back and reconsider Noah.", "Assume Noah is a knave. No contradiction is found in their false claim that Zoey is a knight and Noah is a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that Aria is a knight and Noah is a knave.", "Assume Aria is a knight. No contradiction is found in their claim that If Noah is a knight then Jackson is a knight.", "Jackson cannot be a knight, because this would contradict the claim of their own that Noah is a knave and Aria is a knave.", "Assume Jackson is a knave. No contradiction is found in their false claim that Noah is a knave and Aria is a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that Noah is a knight or Aria is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 4), ('telling-truth', 0)), ('->', ('telling-truth', 0), ('telling-truth', 2)), ('and', ('lying', 0), ('lying', 1)), ('or', ('telling-truth', 0), ('telling-truth', 1)), ('and', ('telling-truth', 1), ('lying', 0)))", "index": 154}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Jack, Mia, Aurora, Matthew, and Noah. Jack asserted: \"If Matthew is a knave then Noah is a knave\". As Mia put it, \"Mia is a knight and Aurora is a knight\". In Aurora's words: \"Mia is a knight\". As Matthew put it, \"If Matthew is a knight then Mia is a knight\". In Noah's words: \"If Jack is a knave then Matthew is a knight\". So who is a knight and who is a knave?", "names": ["Jack", "Mia", "Aurora", "Matthew", "Noah"], "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": "Jack is a knight, Mia is a knight, Aurora is a knight, Matthew is a knight, and Noah is a knight.", "solution_text_format": "(1) Jack is a knight\n(2) Mia is a knight\n(3) Aurora is a knight\n(4) Matthew is a knight\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 Jack is a knight. No contradiction is found in their claim that If Matthew is a knave then Noah is a knave.", "Assume Matthew is a knight. No contradiction is found in their claim that If Matthew is a knight then Mia is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that Mia is a knight and Aurora is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that Mia is a knight.", "Assume Noah is a knight. No contradiction is found in their claim that If Jack is a knave then Matthew is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 3), ('lying', 4)), ('and', ('telling-truth', 1), ('telling-truth', 2)), ('telling-truth', 1), ('->', ('telling-truth', 3), ('telling-truth', 1)), ('->', ('lying', 0), ('telling-truth', 3)))", "index": 155}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Victoria, Oliver, Henry, Zoey, and Owen. Victoria commented, \"Henry is a knave\". Oliver expressed that Zoey is a knave or Owen is a knave. Henry noted, \"If Owen is a knight then Zoey is a knave\". Zoey said that Oliver is a knave and Victoria is a knight. Owen remarked, \"If Oliver is a knave then Oliver is a knight\". So who is a knight and who is a knave?", "names": ["Victoria", "Oliver", "Henry", "Zoey", "Owen"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false, true], "solution_text": "Victoria is a knave, Oliver is a knight, Henry is a knight, Zoey is a knave, and Owen is a knight.", "solution_text_format": "(1) Victoria is a knave\n(2) Oliver is a knight\n(3) Henry is a knight\n(4) Zoey 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 Victoria is a knight. No contradiction is found in their claim that Henry is a knave.", "Henry cannot be a knight, because this would contradict the claim of Victoria that Henry is a knave.", "Assume Henry is a knave. No contradiction is found in their false claim that If Owen is a knight then Zoey is a knave.", "Assume Owen is a knight. No contradiction is found in their claim that If Oliver is a knave then Oliver is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that Zoey is a knave or Owen is a knave.", "Zoey cannot be a knight, because this would contradict the claim of Oliver that Zoey is a knave or Owen is a knave.", "Zoey cannot be a knave, because this would contradict the false claim of Henry that If Owen is a knight then Zoey is a knave.", "We have exhausted all possibilities for Zoey, so let us go back and reconsider Oliver.", "Oliver cannot be a knave, because this would contradict the claim of Owen that If Oliver is a knave then Oliver is a knight.", "We have exhausted all possibilities for Oliver, so let us go back and reconsider Owen.", "Owen cannot be a knave, because this would contradict the false claim of Henry that If Owen is a knight then Zoey is a knave.", "We have exhausted all possibilities for Owen and Henry, so let us go back and reconsider Victoria.", "Assume Victoria is a knave. No contradiction is found in their false claim that Henry is a knave.", "Assume Henry is a knight. No contradiction is found in their claim that If Owen is a knight then Zoey is a knave.", "Assume Owen is a knight. No contradiction is found in their claim that If Oliver is a knave then Oliver is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that Zoey is a knave or Owen is a knave.", "Zoey cannot be a knight, because this would contradict the claim of Oliver that Zoey is a knave or Owen is a knave.", "Assume Zoey is a knave. No contradiction is found in their false claim that Oliver is a knave and Victoria is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 2), ('or', ('lying', 3), ('lying', 4)), ('->', ('telling-truth', 4), ('lying', 3)), ('and', ('lying', 1), ('telling-truth', 0)), ('->', ('lying', 1), ('telling-truth', 1)))", "index": 156}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Mason, Victoria, David, Logan, and Alexander. In a statement by Mason: \"Alexander is a knight and Victoria is a knight\". As Victoria put it, \"Victoria is a knight and Alexander is a knave\". David asserted: \"Victoria is a knight or Logan is a knave\". Logan asserted: \"If Victoria is a knave then Victoria is a knight\". Alexander told you that Mason is not a knight. So who is a knight and who is a knave?", "names": ["Mason", "Victoria", "David", "Logan", "Alexander"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false, true], "solution_text": "Mason is a knave, Victoria is a knave, David is a knight, Logan is a knave, and Alexander is a knight.", "solution_text_format": "(1) Mason is a knave\n(2) Victoria is a knave\n(3) David is a knight\n(4) Logan is a knave\n(5) 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 Mason is a knight. No contradiction is found in their claim that Alexander is a knight and Victoria is a knight.", "Alexander cannot be a knight, because this would contradict the claim of their own that Mason is not a knight.", "Alexander cannot be a knave, because this would contradict the claim of Mason that Alexander is a knight and Victoria is a knight.", "We have exhausted all possibilities for Alexander, so let us go back and reconsider Mason.", "Assume Mason is a knave. No contradiction is found in their false claim that Alexander is a knight and Victoria is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that Mason is not a knight.", "Victoria cannot be a knight, because this would contradict the false claim of Mason that Alexander is a knight and Victoria is a knight.", "Assume Victoria is a knave. No contradiction is found in their false claim that Victoria is a knight and Alexander is a knave.", "Assume David is a knight. No contradiction is found in their claim that Victoria is a knight or Logan is a knave.", "Logan cannot be a knight, because this would contradict the claim of David that Victoria is a knight or Logan is a knave.", "Assume Logan is a knave. No contradiction is found in their false claim that If Victoria is a knave then Victoria is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 4), ('telling-truth', 1)), ('and', ('telling-truth', 1), ('lying', 4)), ('or', ('telling-truth', 1), ('lying', 3)), ('->', ('lying', 1), ('telling-truth', 1)), ('not', ('telling-truth', 0)))", "index": 157}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Ethan, Sophia, David, Evelyn, and Michael. Ethan said that Sophia is not a knave. Sophia commented, \"Evelyn is not a knight\". \"Ethan is a knight and Michael is a knave\" - David. In a statement by Evelyn: \"Ethan is a knave if and only if David is a knight\". Michael was heard saying, \"Ethan is not a knight\". So who is a knight and who is a knave?", "names": ["Ethan", "Sophia", "David", "Evelyn", "Michael"], "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": "Ethan is a knight, Sophia is a knight, David is a knight, Evelyn is a knave, and Michael is a knave.", "solution_text_format": "(1) Ethan is a knight\n(2) Sophia is a knight\n(3) David is a knight\n(4) Evelyn is a knave\n(5) Michael is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ethan is a knight. No contradiction is found in their claim that Sophia is not a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that Evelyn is not a knight.", "Evelyn cannot be a knight, because this would contradict the claim of Sophia that Evelyn is not a knight.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Ethan is a knave if and only if David is a knight.", "Assume David is a knight. No contradiction is found in their claim that Ethan is a knight and Michael is a knave.", "Michael cannot be a knight, because this would contradict the claim of David that Ethan is a knight and Michael is a knave.", "Assume Michael is a knave. No contradiction is found in their false claim that Ethan is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 1)), ('not', ('telling-truth', 3)), ('and', ('telling-truth', 0), ('lying', 4)), ('<=>', ('lying', 0), ('telling-truth', 2)), ('not', ('telling-truth', 0)))", "index": 158}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Riley, Abigail, James, Owen, and Noah. Riley told you that James is a knight or Abigail is a knight. Abigail stated, \"Riley is a knight or Riley is a knave\". James remarked, \"Noah is not a knave\". \"Abigail is a knight,\" Owen declared. Noah said, \"Abigail is a knight and Riley is a knight.\" So who is a knight and who is a knave?", "names": ["Riley", "Abigail", "James", "Owen", "Noah"], "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": "Riley is a knight, Abigail is a knight, James is a knight, Owen is a knight, and Noah is a knight.", "solution_text_format": "(1) Riley is a knight\n(2) Abigail is a knight\n(3) James is a knight\n(4) Owen is a knight\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 Riley is a knight. No contradiction is found in their claim that James is a knight or Abigail is a knight.", "Assume James is a knight. No contradiction is found in their claim that Noah is not a knave.", "Assume Noah is a knight. No contradiction is found in their claim that Abigail is a knight and Riley is a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that Riley is a knight or Riley is a knave.", "Assume Owen is a knight. No contradiction is found in their claim that Abigail is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 2), ('telling-truth', 1)), ('or', ('telling-truth', 0), ('lying', 0)), ('not', ('lying', 4)), ('telling-truth', 1), ('and', ('telling-truth', 1), ('telling-truth', 0)))", "index": 159}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Olivia, Logan, Noah, Lily, and Mia. Olivia was heard saying, \"Mia is a knave if and only if Lily is a knight\". Logan stated, \"Mia is a knight or Lily is a knave\". Noah commented, \"Olivia is a knight or Mia is a knight\". According to Lily, \"If Olivia is a knave then Noah is a knight\". Mia expressed that Lily is a knave. So who is a knight and who is a knave?", "names": ["Olivia", "Logan", "Noah", "Lily", "Mia"], "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": "Olivia is a knight, Logan is a knave, Noah is a knight, Lily is a knight, and Mia is a knave.", "solution_text_format": "(1) Olivia is a knight\n(2) Logan is a knave\n(3) Noah is a knight\n(4) Lily is a knight\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 Olivia is a knight. No contradiction is found in their claim that Mia is a knave if and only if Lily is a knight.", "Assume Mia 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 Olivia that Mia is a knave if and only if Lily is a knight.", "Lily cannot be a knave, because this would contradict the false claim of their own that If Olivia is a knave then Noah is a knight.", "We have exhausted all possibilities for Lily, so let us go back and reconsider Mia.", "Assume Mia is a knave. No contradiction is found in their false claim that Lily is a knave.", "Assume Lily is a knight. No contradiction is found in their claim that If Olivia is a knave then Noah is a knight.", "Assume Noah is a knight. No contradiction is found in their claim that Olivia is a knight or Mia is a knight.", "Logan cannot be a knight, because this would contradict the claim of their own that Mia is a knight or Lily is a knave.", "Assume Logan is a knave. No contradiction is found in their false claim that Mia is a knight or Lily is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 4), ('telling-truth', 3)), ('or', ('telling-truth', 4), ('lying', 3)), ('or', ('telling-truth', 0), ('telling-truth', 4)), ('->', ('lying', 0), ('telling-truth', 2)), ('lying', 3))", "index": 160}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Jack, Ava, Sophia, Zoey, and David. \"David is a knave if and only if Sophia is a knight\" - Jack. As Ava put it, \"David is a knave or Sophia is a knight\". \"If Jack is a knave then Ava is a knight,\" Sophia mentioned. Zoey expressed that If David is a knave then David is a knight. David was heard saying, \"Ava is not a knave\". So who is a knight and who is a knave?", "names": ["Jack", "Ava", "Sophia", "Zoey", "David"], "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": "Jack is a knave, Ava is a knight, Sophia is a knight, Zoey is a knight, and David is a knight.", "solution_text_format": "(1) Jack is a knave\n(2) Ava is a knight\n(3) Sophia is a knight\n(4) Zoey is a knight\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 Jack is a knight. No contradiction is found in their claim that David is a knave if and only if Sophia is a knight.", "Assume David is a knight. No contradiction is found in their claim that Ava is not a knave.", "Assume Ava is a knight. No contradiction is found in their claim that David is a knave or Sophia is a knight.", "Sophia cannot be a knight, because this would contradict the claim of Jack that David is a knave if and only if Sophia is a knight.", "Sophia cannot be a knave, because this would contradict the claim of Ava that David is a knave or Sophia is a knight.", "We have exhausted all possibilities for Sophia, so let us go back and reconsider Ava.", "Ava cannot be a knave, because this would contradict the claim of David that Ava is not a knave.", "We have exhausted all possibilities for Ava, so let us go back and reconsider David.", "Assume David is a knave. No contradiction is found in their false claim that Ava is not a knave.", "Ava cannot be a knight, because this would contradict the false claim of David that Ava is not a knave.", "Ava cannot be a knave, because this would contradict the false claim of their own that David is a knave or Sophia is a knight.", "We have exhausted all possibilities for Ava and David, so let us go back and reconsider Jack.", "Assume Jack is a knave. No contradiction is found in their false claim that David is a knave if and only if Sophia is a knight.", "Assume David is a knight. No contradiction is found in their claim that Ava is not a knave.", "Assume Ava is a knight. No contradiction is found in their claim that David is a knave or Sophia is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that If Jack is a knave then Ava is a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that If David is a knave then David is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 4), ('telling-truth', 2)), ('or', ('lying', 4), ('telling-truth', 2)), ('->', ('lying', 0), ('telling-truth', 1)), ('->', ('lying', 4), ('telling-truth', 4)), ('not', ('lying', 1)))", "index": 161}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Evelyn, Luke, Chloe, Lily, and Emma. Evelyn told you that Luke is a knave if and only if Luke is a knight. Luke said that Evelyn is a knave if and only if Emma is a knave. Chloe stated, \"Lily is a knave\". Lily remarked, \"Emma is a knave or Chloe is a knave\". Emma expressed that Chloe is a knave and Lily is a knight. So who is a knight and who is a knave?", "names": ["Evelyn", "Luke", "Chloe", "Lily", "Emma"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true, true], "solution_text": "Evelyn is a knave, Luke is a knave, Chloe is a knave, Lily is a knight, and Emma is a knight.", "solution_text_format": "(1) Evelyn is a knave\n(2) Luke is a knave\n(3) Chloe is a knave\n(4) Lily 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": ["Evelyn cannot be a knight, because this would contradict the claim of their own that Luke is a knave if and only if Luke is a knight.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Luke is a knave if and only if Luke is a knight.", "Assume Luke is a knight. No contradiction is found in their claim that Evelyn is a knave if and only if Emma is a knave.", "Emma cannot be a knight, because this would contradict the claim of Luke that Evelyn is a knave if and only if Emma is a knave.", "Assume Emma is a knave. No contradiction is found in their false claim that Chloe is a knave and Lily is a knight.", "Assume Chloe 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 Chloe that Lily is a knave.", "Lily cannot be a knave, because this would contradict the false claim of their own that Emma is a knave or Chloe is a knave.", "We have exhausted all possibilities for Lily, so let us go back and reconsider Chloe.", "Assume Chloe is a knave. No contradiction is found in their false claim that Lily is a knave.", "Lily cannot be a knight, because this would contradict the false claim of Emma that Chloe is a knave and Lily is a knight.", "Lily cannot be a knave, because this would contradict the false claim of Chloe that Lily is a knave.", "We have exhausted all possibilities for Lily, Chloe, and Emma, so let us go back and reconsider Luke.", "Assume Luke is a knave. No contradiction is found in their false claim that Evelyn is a knave if and only if Emma is a knave.", "Assume Emma is a knight. No contradiction is found in their claim that Chloe is a knave and Lily is a knight.", "Chloe cannot be a knight, because this would contradict the claim of Emma that Chloe is a knave and Lily is a knight.", "Assume Chloe 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 Emma is a knave or Chloe is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('telling-truth', 1)), ('<=>', ('lying', 0), ('lying', 4)), ('lying', 3), ('or', ('lying', 4), ('lying', 2)), ('and', ('lying', 2), ('telling-truth', 3)))", "index": 162}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Jackson, Avery, Oliver, Riley, and Elizabeth. According to Jackson, \"Elizabeth is a knave if and only if Elizabeth is a knight\". Avery expressed that Oliver is a knight if and only if Jackson is a knight. Oliver remarked, \"Riley is a knave and Elizabeth is a knight\". Riley was heard saying, \"Elizabeth is a knight or Avery is a knight\". Elizabeth said, \"Jackson is a knave and Oliver is a knave.\" So who is a knight and who is a knave?", "names": ["Jackson", "Avery", "Oliver", "Riley", "Elizabeth"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true, true], "solution_text": "Jackson is a knave, Avery is a knight, Oliver is a knave, Riley is a knight, and Elizabeth is a knight.", "solution_text_format": "(1) Jackson is a knave\n(2) Avery is a knight\n(3) Oliver is a knave\n(4) Riley 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": ["Jackson cannot be a knight, because this would contradict the claim of their own that Elizabeth is a knave if and only if Elizabeth is a knight.", "Assume Jackson is a knave. No contradiction is found in their false claim that Elizabeth is a knave if and only if Elizabeth is a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Jackson is a knave and Oliver is a knave.", "Oliver cannot be a knight, because this would contradict the claim of Elizabeth that Jackson is a knave and Oliver is a knave.", "Assume Oliver is a knave. No contradiction is found in their false claim that Riley is a knave and Elizabeth is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that Elizabeth is a knight or Avery is a knight.", "Assume Avery is a knight. No contradiction is found in their claim that Oliver is a knight if and only if Jackson is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 4), ('telling-truth', 4)), ('<=>', ('telling-truth', 2), ('telling-truth', 0)), ('and', ('lying', 3), ('telling-truth', 4)), ('or', ('telling-truth', 4), ('telling-truth', 1)), ('and', ('lying', 0), ('lying', 2)))", "index": 163}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Emily, Noah, Ava, Henry, and James. Emily said, \"Noah is a knight and James is a knave.\" Noah asserted: \"Henry is a knave\". \"Ava is a knight or Emily is a knave,\" Ava claimed. In Henry's words: \"Henry is a knight or Noah is a knight\". According to James, \"Emily is not a knave\". So who is a knight and who is a knave?", "names": ["Emily", "Noah", "Ava", "Henry", "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": "Emily is a knave, Noah is a knave, Ava is a knight, Henry is a knight, and James is a knave.", "solution_text_format": "(1) Emily is a knave\n(2) Noah is a knave\n(3) Ava is a knight\n(4) Henry 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 Emily is a knight. No contradiction is found in their claim that Noah is a knight and James is a knave.", "Assume Noah is a knight. No contradiction is found in their claim that Henry is a knave.", "Henry cannot be a knight, because this would contradict the claim of Noah that Henry is a knave.", "Henry cannot be a knave, because this would contradict the false claim of their own that Henry is a knight or Noah is a knight.", "We have exhausted all possibilities for Henry, so let us go back and reconsider Noah.", "Noah cannot be a knave, because this would contradict the claim of Emily that Noah is a knight and James is a knave.", "We have exhausted all possibilities for Noah, so let us go back and reconsider Emily.", "Assume Emily is a knave. No contradiction is found in their false claim that Noah is a knight and James is a knave.", "Assume Noah is a knight. No contradiction is found in their claim that Henry is a knave.", "Henry cannot be a knight, because this would contradict the claim of Noah that Henry is a knave.", "Henry cannot be a knave, because this would contradict the false claim of their own that Henry is a knight or Noah is a knight.", "We have exhausted all possibilities for Henry, so let us go back and reconsider Noah.", "Assume Noah is a knave. No contradiction is found in their false claim that Henry is a knave.", "Assume Henry is a knight. No contradiction is found in their claim that Henry is a knight or Noah is a knight.", "James cannot be a knight, because this would contradict the claim of their own that Emily is not a knave.", "Assume James is a knave. No contradiction is found in their false claim that Emily is not a knave.", "Assume Ava is a knight. No contradiction is found in their claim that Ava is a knight or Emily is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('lying', 4)), ('lying', 3), ('or', ('telling-truth', 2), ('lying', 0)), ('or', ('telling-truth', 3), ('telling-truth', 1)), ('not', ('lying', 0)))", "index": 164}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Emma, Olivia, Samuel, Grace, and Sofia. Emma asserted: \"Grace is a knave or Grace is a knight\". Olivia said that Sofia is not a knight. Samuel noted, \"Grace is a knight and Samuel is a knight\". Grace stated, \"Sofia is a knight\". In a statement by Sofia: \"Samuel is not a knight\". So who is a knight and who is a knave?", "names": ["Emma", "Olivia", "Samuel", "Grace", "Sofia"], "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": "Emma is a knight, Olivia is a knave, Samuel is a knave, Grace is a knight, and Sofia is a knight.", "solution_text_format": "(1) Emma is a knight\n(2) Olivia is a knave\n(3) Samuel is a knave\n(4) Grace is a knight\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 Emma is a knight. No contradiction is found in their claim that Grace is a knave or Grace is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that Sofia is a knight.", "Assume Sofia 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 Sofia that Samuel is not a knight.", "Assume Samuel is a knave. No contradiction is found in their false claim that Grace is a knight and Samuel is a knight.", "Olivia cannot be a knight, because this would contradict the claim of their own that Sofia is not a knight.", "Assume Olivia is a knave. No contradiction is found in their false claim that Sofia is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 3), ('telling-truth', 3)), ('not', ('telling-truth', 4)), ('and', ('telling-truth', 3), ('telling-truth', 2)), ('telling-truth', 4), ('not', ('telling-truth', 2)))", "index": 165}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Ethan, Henry, William, Oliver, and Ava. Ethan stated, \"Ava is a knight or Oliver is a knight\". Henry stated, \"Oliver is not a knave\". William asserted: \"Ethan is a knight if and only if Ava is a knight\". As Oliver put it, \"Ava is a knight or Henry is a knave\". According to Ava, \"Henry is not a knave\". So who is a knight and who is a knave?", "names": ["Ethan", "Henry", "William", "Oliver", "Ava"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, true], "solution_text": "Ethan is a knight, Henry is a knight, William is a knight, Oliver is a knight, and Ava is a knight.", "solution_text_format": "(1) Ethan is a knight\n(2) Henry is a knight\n(3) William is a knight\n(4) Oliver 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 Ethan is a knight. No contradiction is found in their claim that Ava is a knight or Oliver is a knight.", "Assume Ava is a knight. No contradiction is found in their claim that Henry is not a knave.", "Assume Henry is a knight. No contradiction is found in their claim that Oliver is not a knave.", "Assume Oliver is a knight. No contradiction is found in their claim that Ava is a knight or Henry is a knave.", "Assume William is a knight. No contradiction is found in their claim that Ethan is a knight if and only if Ava is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 4), ('telling-truth', 3)), ('not', ('lying', 3)), ('<=>', ('telling-truth', 0), ('telling-truth', 4)), ('or', ('telling-truth', 4), ('lying', 1)), ('not', ('lying', 1)))", "index": 166}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Samuel, Harper, Lucas, Owen, and Chloe. \"Harper is a knight\" - Samuel. Harper commented, \"Samuel is a knave or Lucas is a knave\". \"Samuel is a knave and Chloe is a knight,\" Lucas declared. \"Samuel is a knave if and only if Harper is a knave,\" Owen declared. Chloe said, \"Lucas is a knave or Owen is a knight.\" So who is a knight and who is a knave?", "names": ["Samuel", "Harper", "Lucas", "Owen", "Chloe"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true, true], "solution_text": "Samuel is a knight, Harper is a knight, Lucas is a knave, Owen is a knight, and Chloe is a knight.", "solution_text_format": "(1) Samuel is a knight\n(2) Harper is a knight\n(3) Lucas is a knave\n(4) Owen is a knight\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 Samuel is a knight. No contradiction is found in their claim that Harper is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that Samuel is a knave or Lucas is a knave.", "Lucas cannot be a knight, because this would contradict the claim of Harper that Samuel is a knave or Lucas is a knave.", "Assume Lucas is a knave. No contradiction is found in their false claim that Samuel is a knave and Chloe is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that Lucas is a knave or Owen is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that Samuel is a knave if and only if Harper is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 1), ('or', ('lying', 0), ('lying', 2)), ('and', ('lying', 0), ('telling-truth', 4)), ('<=>', ('lying', 0), ('lying', 1)), ('or', ('lying', 2), ('telling-truth', 3)))", "index": 167}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Logan, Mia, Isabella, Michael, and Oliver. Logan said, \"Isabella is a knave and Michael is a knight.\" \"Oliver is not a knight,\" Mia mentioned. Isabella noted, \"Oliver is a knave if and only if Oliver is a knight\". Michael told you that Mia is a knight and Isabella is a knave. In a statement by Oliver: \"Logan is a knave if and only if Mia is a knave\". So who is a knight and who is a knave?", "names": ["Logan", "Mia", "Isabella", "Michael", "Oliver"], "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": "Logan is a knave, Mia is a knave, Isabella is a knave, Michael is a knave, and Oliver is a knight.", "solution_text_format": "(1) Logan is a knave\n(2) Mia is a knave\n(3) Isabella is a knave\n(4) Michael is a knave\n(5) Oliver is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Logan is a knight. No contradiction is found in their claim that Isabella is a knave and Michael is a knight.", "Isabella cannot be a knight, because this would contradict the claim of Logan that Isabella is a knave and Michael is a knight.", "Assume Isabella is a knave. No contradiction is found in their false claim that Oliver is a knave if and only if Oliver is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that Logan is a knave if and only if Mia is a knave.", "Mia cannot be a knight, because this would contradict the claim of their own that Oliver is not a knight.", "Mia cannot be a knave, because this would contradict the claim of Oliver that Logan is a knave if and only if Mia is a knave.", "We have exhausted all possibilities for Mia, so let us go back and reconsider Oliver.", "Assume Oliver is a knave. No contradiction is found in their false claim that Logan is a knave if and only if Mia is a knave.", "Mia cannot be a knight, because this would contradict the false claim of Oliver that Logan is a knave if and only if Mia is a knave.", "Mia cannot be a knave, because this would contradict the false claim of their own that Oliver is not a knight.", "We have exhausted all possibilities for Mia, Oliver, and Isabella, so let us go back and reconsider Logan.", "Assume Logan is a knave. No contradiction is found in their false claim that Isabella is a knave and Michael is a knight.", "Isabella cannot be a knight, because this would contradict the claim of their own that Oliver is a knave if and only if Oliver is a knight.", "Assume Isabella is a knave. No contradiction is found in their false claim that Oliver is a knave if and only if Oliver is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that Logan is a knave if and only if Mia is a knave.", "Mia cannot be a knight, because this would contradict the claim of their own that Oliver is not a knight.", "Assume Mia is a knave. No contradiction is found in their false claim that Oliver is not a knight.", "Michael cannot be a knight, because this would contradict the false claim of Logan that Isabella is a knave and Michael is a knight.", "Assume Michael is a knave. No contradiction is found in their false claim that Mia is a knight and Isabella is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('telling-truth', 3)), ('not', ('telling-truth', 4)), ('<=>', ('lying', 4), ('telling-truth', 4)), ('and', ('telling-truth', 1), ('lying', 2)), ('<=>', ('lying', 0), ('lying', 1)))", "index": 168}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aria, Jacob, Mason, Isabella, and Evelyn. As Aria put it, \"Jacob is a knight and Evelyn is a knave\". Jacob commented, \"Mason is a knave and Evelyn is a knight\". Mason asserted: \"If Isabella is a knight then Evelyn is a knave\". \"Evelyn is a knight or Isabella is a knight,\" Isabella mentioned. Evelyn stated, \"Mason is a knight if and only if Jacob is a knave\". So who is a knight and who is a knave?", "names": ["Aria", "Jacob", "Mason", "Isabella", "Evelyn"], "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": "Aria is a knave, Jacob is a knight, Mason is a knave, Isabella is a knight, and Evelyn is a knight.", "solution_text_format": "(1) Aria is a knave\n(2) Jacob is a knight\n(3) Mason is a knave\n(4) Isabella is a knight\n(5) Evelyn is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aria is a knight. No contradiction is found in their claim that Jacob is a knight and Evelyn is a knave.", "Assume Jacob is a knight. No contradiction is found in their claim that Mason is a knave and Evelyn is a knight.", "Mason cannot be a knight, because this would contradict the claim of Jacob that Mason is a knave and Evelyn is a knight.", "Assume Mason is a knave. No contradiction is found in their false claim that If Isabella is a knight then Evelyn is a knave.", "Assume Isabella is a knight. No contradiction is found in their claim that Evelyn is a knight or Isabella is a knight.", "Evelyn cannot be a knight, because this would contradict the claim of Aria that Jacob is a knight and Evelyn is a knave.", "Evelyn cannot be a knave, because this would contradict the claim of Jacob that Mason is a knave and Evelyn is a knight.", "We have exhausted all possibilities for Evelyn, so let us go back and reconsider Isabella.", "Isabella cannot be a knave, because this would contradict the false claim of Mason that If Isabella is a knight then Evelyn is a knave.", "We have exhausted all possibilities for Isabella and Mason, so let us go back and reconsider Jacob.", "Jacob cannot be a knave, because this would contradict the claim of Aria that Jacob is a knight and Evelyn is a knave.", "We have exhausted all possibilities for Jacob, so let us go back and reconsider Aria.", "Assume Aria is a knave. No contradiction is found in their false claim that Jacob is a knight and Evelyn is a knave.", "Assume Jacob is a knight. No contradiction is found in their claim that Mason is a knave and Evelyn is a knight.", "Mason cannot be a knight, because this would contradict the claim of Jacob that Mason is a knave and Evelyn is a knight.", "Assume Mason is a knave. No contradiction is found in their false claim that If Isabella is a knight then Evelyn is a knave.", "Assume Isabella is a knight. No contradiction is found in their claim that Evelyn is a knight or Isabella is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that Mason is a knight if and only if Jacob is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('lying', 4)), ('and', ('lying', 2), ('telling-truth', 4)), ('->', ('telling-truth', 3), ('lying', 4)), ('or', ('telling-truth', 4), ('telling-truth', 3)), ('<=>', ('telling-truth', 2), ('lying', 1)))", "index": 169}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Sofia, William, Penelope, Mia, and Owen. Sofia said, \"Owen is a knight if and only if Penelope is a knight.\" According to William, \"If Sofia is a knave then Penelope is a knave\". Penelope expressed that William is not a knave. Mia asserted: \"Sofia is a knave or William is a knight\". Owen remarked, \"William is not a knave\". So who is a knight and who is a knave?", "names": ["Sofia", "William", "Penelope", "Mia", "Owen"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, true], "solution_text": "Sofia is a knight, William is a knight, Penelope is a knight, Mia is a knight, and Owen is a knight.", "solution_text_format": "(1) Sofia is a knight\n(2) William is a knight\n(3) Penelope is a knight\n(4) Mia is a knight\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 Sofia is a knight. No contradiction is found in their claim that Owen is a knight if and only if Penelope is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that William is not a knave.", "Assume William is a knight. No contradiction is found in their claim that If Sofia is a knave then Penelope is a knave.", "Assume Penelope is a knight. No contradiction is found in their claim that William is not a knave.", "Assume Mia is a knight. No contradiction is found in their claim that Sofia is a knave or William is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 4), ('telling-truth', 2)), ('->', ('lying', 0), ('lying', 2)), ('not', ('lying', 1)), ('or', ('lying', 0), ('telling-truth', 1)), ('not', ('lying', 1)))", "index": 170}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Harper, Sofia, Charlotte, Liam, and Mason. \"Mason is a knight if and only if Liam is a knight,\" Harper mentioned. In a statement by Sofia: \"Harper is a knight if and only if Mason is a knave\". Charlotte commented, \"Harper is a knave or Mason is a knight\". In Liam's words: \"Mason is a knave and Harper is a knave\". Mason told you that Harper is a knight. So who is a knight and who is a knave?", "names": ["Harper", "Sofia", "Charlotte", "Liam", "Mason"], "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": "Harper is a knave, Sofia is a knave, Charlotte is a knight, Liam is a knight, and Mason is a knave.", "solution_text_format": "(1) Harper is a knave\n(2) Sofia is a knave\n(3) Charlotte is a knight\n(4) Liam 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 Harper is a knight. No contradiction is found in their claim that Mason is a knight if and only if Liam is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that Harper is a knight.", "Liam cannot be a knight, because this would contradict the claim of their own that Mason is a knave and Harper is a knave.", "Liam cannot be a knave, because this would contradict the claim of Harper that Mason is a knight if and only if Liam is a knight.", "We have exhausted all possibilities for Liam, so let us go back and reconsider Mason.", "Mason cannot be a knave, because this would contradict the false claim of their own that Harper is a knight.", "We have exhausted all possibilities for Mason, so let us go back and reconsider Harper.", "Assume Harper is a knave. No contradiction is found in their false claim that Mason is a knight if and only if Liam is a knight.", "Mason cannot be a knight, because this would contradict the claim of their own that Harper is a knight.", "Assume Mason is a knave. No contradiction is found in their false claim that Harper is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that Mason is a knave and Harper is a knave.", "Sofia cannot be a knight, because this would contradict the claim of their own that Harper is a knight if and only if Mason is a knave.", "Assume Sofia is a knave. No contradiction is found in their false claim that Harper is a knight if and only if Mason is a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that Harper is a knave or Mason is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 4), ('telling-truth', 3)), ('<=>', ('telling-truth', 0), ('lying', 4)), ('or', ('lying', 0), ('telling-truth', 4)), ('and', ('lying', 4), ('lying', 0)), ('telling-truth', 0))", "index": 171}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Matthew, Ella, Riley, Ava, and Olivia. In a statement by Matthew: \"Ella is a knave if and only if Ava is a knave\". Ella remarked, \"Riley is not a knave\". In Riley's words: \"Olivia is a knight\". According to Ava, \"Ava is a knight if and only if Matthew is a knight\". According to Olivia, \"Ella is a knave or Ella is a knight\". So who is a knight and who is a knave?", "names": ["Matthew", "Ella", "Riley", "Ava", "Olivia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, true], "solution_text": "Matthew is a knight, Ella is a knight, Riley is a knight, Ava is a knight, and Olivia is a knight.", "solution_text_format": "(1) Matthew is a knight\n(2) Ella is a knight\n(3) Riley is a knight\n(4) Ava 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 Matthew is a knight. No contradiction is found in their claim that Ella is a knave if and only if Ava is a knave.", "Assume Ella is a knight. No contradiction is found in their claim that Riley is not a knave.", "Assume Riley is a knight. No contradiction is found in their claim that Olivia is a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that Ella is a knave or Ella is a knight.", "Assume Ava is a knight. No contradiction is found in their claim that Ava is a knight if and only if Matthew is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('lying', 3)), ('not', ('lying', 2)), ('telling-truth', 4), ('<=>', ('telling-truth', 3), ('telling-truth', 0)), ('or', ('lying', 1), ('telling-truth', 1)))", "index": 172}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: David, Sebastian, Logan, Zoey, and Ava. David commented, \"Zoey is a knight and Logan is a knight\". Sebastian commented, \"Zoey is a knight if and only if Logan is a knight\". Logan told you that Ava is a knight and Sebastian is a knight. \"If Zoey is a knight then Sebastian is a knight,\" Zoey mentioned. Ava expressed that Zoey is a knight if and only if Ava is a knight. So who is a knight and who is a knave?", "names": ["David", "Sebastian", "Logan", "Zoey", "Ava"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, true], "solution_text": "David is a knight, Sebastian is a knight, Logan is a knight, Zoey is a knight, and Ava is a knight.", "solution_text_format": "(1) David is a knight\n(2) Sebastian is a knight\n(3) Logan is a knight\n(4) Zoey 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 David is a knight. No contradiction is found in their claim that Zoey is a knight and Logan is a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that If Zoey is a knight then Sebastian is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Zoey is a knight if and only if Logan is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that Ava is a knight and Sebastian is a knight.", "Assume Ava is a knight. No contradiction is found in their claim that Zoey is a knight if and only if Ava is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 3), ('telling-truth', 2)), ('<=>', ('telling-truth', 3), ('telling-truth', 2)), ('and', ('telling-truth', 4), ('telling-truth', 1)), ('->', ('telling-truth', 3), ('telling-truth', 1)), ('<=>', ('telling-truth', 3), ('telling-truth', 4)))", "index": 173}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Joseph, Benjamin, Ava, Scarlett, and Henry. Joseph told you that Ava is a knave and Ava is a knight. Benjamin asserted: \"If Henry is a knight then Ava is a knave\". As Ava put it, \"Henry is a knight or Scarlett is a knave\". Scarlett told you that Joseph is not a knave. \"Benjamin is a knave if and only if Henry is a knight,\" Henry declared. So who is a knight and who is a knave?", "names": ["Joseph", "Benjamin", "Ava", "Scarlett", "Henry"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false, true], "solution_text": "Joseph is a knave, Benjamin is a knave, Ava is a knight, Scarlett is a knave, and Henry is a knight.", "solution_text_format": "(1) Joseph is a knave\n(2) Benjamin is a knave\n(3) Ava is a knight\n(4) Scarlett is a knave\n(5) Henry is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Joseph cannot be a knight, because this would contradict the claim of their own that Ava is a knave and Ava is a knight.", "Assume Joseph is a knave. No contradiction is found in their false claim that Ava is a knave and Ava is a knight.", "Assume Ava is a knight. No contradiction is found in their claim that Henry is a knight or Scarlett is a knave.", "Assume Henry is a knight. No contradiction is found in their claim that Benjamin is a knave if and only if Henry is a knight.", "Benjamin cannot be a knight, because this would contradict the claim of their own that If Henry is a knight then Ava is a knave.", "Assume Benjamin is a knave. No contradiction is found in their false claim that If Henry is a knight then Ava is a knave.", "Scarlett cannot be a knight, because this would contradict the claim of their own that Joseph is not a knave.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Joseph is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('telling-truth', 2)), ('->', ('telling-truth', 4), ('lying', 2)), ('or', ('telling-truth', 4), ('lying', 3)), ('not', ('lying', 0)), ('<=>', ('lying', 1), ('telling-truth', 4)))", "index": 174}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Harper, Riley, Logan, Benjamin, and Joseph. Harper asserted: \"Benjamin is a knave or Joseph is a knave\". In Riley's words: \"If Logan is a knave then Benjamin is a knight\". Logan noted, \"Benjamin is a knave and Logan is a knight\". Benjamin noted, \"Harper is a knight\". According to Joseph, \"Logan is a knight\". So who is a knight and who is a knave?", "names": ["Harper", "Riley", "Logan", "Benjamin", "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": "Harper is a knight, Riley is a knight, Logan is a knave, Benjamin is a knight, and Joseph is a knave.", "solution_text_format": "(1) Harper is a knight\n(2) Riley is a knight\n(3) Logan is a knave\n(4) Benjamin 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 Harper is a knight. No contradiction is found in their claim that Benjamin is a knave or Joseph is a knave.", "Assume Benjamin is a knight. No contradiction is found in their claim that Harper is a knight.", "Joseph cannot be a knight, because this would contradict the claim of Harper that Benjamin is a knave or Joseph is a knave.", "Assume Joseph 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 claim of their own that Benjamin is a knave and Logan is a knight.", "Assume Logan is a knave. No contradiction is found in their false claim that Benjamin is a knave and Logan is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that If Logan is a knave then Benjamin is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 3), ('lying', 4)), ('->', ('lying', 2), ('telling-truth', 3)), ('and', ('lying', 3), ('telling-truth', 2)), ('telling-truth', 0), ('telling-truth', 2))", "index": 175}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Lucas, William, Mason, Henry, and Joseph. Lucas was heard saying, \"Joseph is a knave or Mason is a knave\". William noted, \"Joseph is a knave or Mason is a knight\". As Mason put it, \"Henry is not a knight\". Henry said that Joseph is a knight. Joseph expressed that If Henry is a knight then Mason is a knave. So who is a knight and who is a knave?", "names": ["Lucas", "William", "Mason", "Henry", "Joseph"], "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, William is a knave, Mason is a knave, Henry is a knight, and Joseph is a knight.", "solution_text_format": "(1) Lucas is a knight\n(2) William is a knave\n(3) Mason is a knave\n(4) Henry is a knight\n(5) Joseph is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Lucas is a knight. No contradiction is found in their claim that Joseph is a knave or Mason is a knave.", "Assume Joseph is a knight. No contradiction is found in their claim that If Henry is a knight then Mason is a knave.", "Assume Henry is a knight. No contradiction is found in their claim that Joseph is a knight.", "Mason cannot be a knight, because this would contradict the claim of Lucas that Joseph is a knave or Mason is a knave.", "Assume Mason is a knave. No contradiction is found in their false claim that Henry is not a knight.", "William cannot be a knight, because this would contradict the claim of their own that Joseph is a knave or Mason is a knight.", "Assume William is a knave. No contradiction is found in their false claim that Joseph is a knave or Mason is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 4), ('lying', 2)), ('or', ('lying', 4), ('telling-truth', 2)), ('not', ('telling-truth', 3)), ('telling-truth', 4), ('->', ('telling-truth', 3), ('lying', 2)))", "index": 176}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Chloe, Michael, Emma, Ella, and Alexander. Chloe expressed that Ella is a knight or Chloe is a knight. \"If Alexander is a knave then Chloe is a knave\" - Michael. In a statement by Emma: \"Alexander is a knight or Alexander is a knave\". Ella noted, \"If Michael is a knight then Alexander is a knight\". Alexander told you that Emma is a knight. So who is a knight and who is a knave?", "names": ["Chloe", "Michael", "Emma", "Ella", "Alexander"], "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": "Chloe is a knight, Michael is a knight, Emma is a knight, Ella is a knight, and Alexander is a knight.", "solution_text_format": "(1) Chloe is a knight\n(2) Michael is a knight\n(3) Emma is a knight\n(4) Ella is a knight\n(5) Alexander is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Chloe is a knight. No contradiction is found in their claim that Ella is a knight or Chloe is a knight.", "Assume Ella is a knight. No contradiction is found in their claim that If Michael is a knight then Alexander is a knight.", "Assume Michael is a knight. No contradiction is found in their claim that If Alexander is a knave then Chloe is a knave.", "Assume Alexander 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 Alexander is a knight or Alexander is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 3), ('telling-truth', 0)), ('->', ('lying', 4), ('lying', 0)), ('or', ('telling-truth', 4), ('lying', 4)), ('->', ('telling-truth', 1), ('telling-truth', 4)), ('telling-truth', 2))", "index": 177}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Zoey, Charlotte, Mia, Jacob, and Owen. \"If Mia is a knave then Charlotte is a knight,\" Zoey claimed. According to Charlotte, \"Jacob is a knight if and only if Mia is a knave\". Mia stated, \"Owen is a knight\". Jacob said that Jacob is a knight and Zoey is a knight. Owen stated, \"Zoey is a knave\". So who is a knight and who is a knave?", "names": ["Zoey", "Charlotte", "Mia", "Jacob", "Owen"], "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": "Zoey is a knight, Charlotte is a knight, Mia is a knave, Jacob is a knight, and Owen is a knave.", "solution_text_format": "(1) Zoey is a knight\n(2) Charlotte is a knight\n(3) Mia is a knave\n(4) Jacob is a knight\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 Zoey is a knight. No contradiction is found in their claim that If Mia is a knave then Charlotte is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that Owen is a knight.", "Owen cannot be a knight, because this would contradict the claim of their own that Zoey is a knave.", "Owen cannot be a knave, because this would contradict the claim of Mia that Owen is a knight.", "We have exhausted all possibilities for Owen, so let us go back and reconsider Mia.", "Assume Mia is a knave. No contradiction is found in their false claim that Owen is a knight.", "Owen cannot be a knight, because this would contradict the false claim of Mia that Owen is a knight.", "Assume Owen is a knave. No contradiction is found in their false claim that Zoey is a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that Jacob is a knight if and only if Mia is a knave.", "Assume Jacob is a knight. No contradiction is found in their claim that Jacob is a knight and Zoey is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 2), ('telling-truth', 1)), ('<=>', ('telling-truth', 3), ('lying', 2)), ('telling-truth', 4), ('and', ('telling-truth', 3), ('telling-truth', 0)), ('lying', 0))", "index": 178}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Lucas, Elizabeth, Aurora, Aiden, and Samuel. \"Elizabeth is not a knight,\" Lucas mentioned. In Elizabeth's words: \"Aurora is not a knight\". According to Aurora, \"If Aurora is a knight then Elizabeth is a knave\". Aiden asserted: \"Lucas is a knave or Elizabeth is a knight\". Samuel was heard saying, \"Elizabeth is not a knave\". So who is a knight and who is a knave?", "names": ["Lucas", "Elizabeth", "Aurora", "Aiden", "Samuel"], "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": "Lucas is a knight, Elizabeth is a knave, Aurora is a knight, Aiden is a knave, and Samuel is a knave.", "solution_text_format": "(1) Lucas is a knight\n(2) Elizabeth is a knave\n(3) Aurora is a knight\n(4) Aiden is a knave\n(5) Samuel is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Lucas 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 Lucas that Elizabeth is not a knight.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Aurora is not a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that If Aurora is a knight then Elizabeth is a knave.", "Aiden cannot be a knight, because this would contradict the claim of their own that Lucas is a knave or Elizabeth is a knight.", "Assume Aiden is a knave. No contradiction is found in their false claim that Lucas is a knave or Elizabeth is a knight.", "Samuel cannot be a knight, because this would contradict the claim of their own that Elizabeth is not a knave.", "Assume Samuel is a knave. No contradiction is found in their false claim that Elizabeth is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('not', ('telling-truth', 2)), ('->', ('telling-truth', 2), ('lying', 1)), ('or', ('lying', 0), ('telling-truth', 1)), ('not', ('lying', 1)))", "index": 179}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Daniel, Victoria, Benjamin, Mia, and William. Daniel asserted: \"Mia is a knight and Benjamin is a knight\". \"If Benjamin is a knight then Benjamin is a knave,\" Victoria claimed. Benjamin said, \"Daniel is not a knave.\" Mia commented, \"Victoria is a knight if and only if Daniel is a knight\". \"If Victoria is a knave then Mia is a knave,\" William claimed. So who is a knight and who is a knave?", "names": ["Daniel", "Victoria", "Benjamin", "Mia", "William"], "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": "Daniel is a knave, Victoria is a knight, Benjamin is a knave, Mia is a knave, and William is a knight.", "solution_text_format": "(1) Daniel is a knave\n(2) Victoria is a knight\n(3) Benjamin is a knave\n(4) Mia is a knave\n(5) William is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Daniel is a knight. No contradiction is found in their claim that Mia is a knight and Benjamin is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that Victoria is a knight if and only if Daniel is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that If Benjamin is a knight then Benjamin is a knave.", "Benjamin cannot be a knight, because this would contradict the claim of Victoria that If Benjamin is a knight then Benjamin is a knave.", "Benjamin cannot be a knave, because this would contradict the claim of Daniel that Mia is a knight and Benjamin is a knight.", "We have exhausted all possibilities for Benjamin, so let us go back and reconsider Victoria.", "Victoria cannot be a knave, because this would contradict the claim of Mia that Victoria is a knight if and only if Daniel is a knight.", "We have exhausted all possibilities for Victoria, so let us go back and reconsider Mia.", "Mia cannot be a knave, because this would contradict the claim of Daniel that Mia is a knight and Benjamin is a knight.", "We have exhausted all possibilities for Mia, so let us go back and reconsider Daniel.", "Assume Daniel is a knave. No contradiction is found in their false claim that Mia is a knight and Benjamin is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that Victoria is a knight if and only if Daniel is a knight.", "Victoria cannot be a knight, because this would contradict the claim of Mia that Victoria is a knight if and only if Daniel is a knight.", "Assume Victoria is a knave. No contradiction is found in their false claim that If Benjamin is a knight then Benjamin is a knave.", "Benjamin cannot be a knight, because this would contradict the false claim of Daniel that Mia is a knight and Benjamin is a knight.", "Benjamin cannot be a knave, because this would contradict the false claim of Victoria that If Benjamin is a knight then Benjamin is a knave.", "We have exhausted all possibilities for Benjamin and Victoria, so let us go back and reconsider Mia.", "Assume Mia is a knave. No contradiction is found in their false claim that Victoria is a knight if and only if Daniel is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that If Benjamin is a knight then Benjamin is a knave.", "Benjamin cannot be a knight, because this would contradict the claim of Victoria that If Benjamin is a knight then Benjamin is a knave.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Daniel is not a knave.", "Assume William is a knight. No contradiction is found in their claim that If Victoria is a knave then Mia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 3), ('telling-truth', 2)), ('->', ('telling-truth', 2), ('lying', 2)), ('not', ('lying', 0)), ('<=>', ('telling-truth', 1), ('telling-truth', 0)), ('->', ('lying', 1), ('lying', 3)))", "index": 180}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Benjamin, Emily, James, Evelyn, and Lucas. \"Emily is a knave or Evelyn is a knight\" - Benjamin. In a statement by Emily: \"Evelyn is a knave or Emily is a knight\". According to James, \"Emily is a knave or Lucas is a knight\". Evelyn asserted: \"If Emily is a knave then Emily is a knight\". In Lucas's words: \"Emily is a knave\". So who is a knight and who is a knave?", "names": ["Benjamin", "Emily", "James", "Evelyn", "Lucas"], "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": "Benjamin is a knight, Emily is a knight, James is a knave, Evelyn is a knight, and Lucas is a knave.", "solution_text_format": "(1) Benjamin is a knight\n(2) Emily is a knight\n(3) James is a knave\n(4) Evelyn 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 Benjamin is a knight. No contradiction is found in their claim that Emily is a knave or Evelyn is a knight.", "Assume Emily is a knight. No contradiction is found in their claim that Evelyn is a knave or Emily is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that If Emily is a knave then Emily is a knight.", "Assume James is a knight. No contradiction is found in their claim that Emily is a knave or Lucas is a knight.", "Lucas cannot be a knight, because this would contradict the claim of their own that Emily is a knave.", "Lucas cannot be a knave, because this would contradict the claim of James that Emily is a knave or Lucas is a knight.", "We have exhausted all possibilities for Lucas, so let us go back and reconsider James.", "Assume James is a knave. No contradiction is found in their false claim that Emily is a knave or Lucas is a knight.", "Lucas cannot be a knight, because this would contradict the false claim of James that Emily is a knave or Lucas is a knight.", "Assume Lucas is a knave. No contradiction is found in their false claim that Emily is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('telling-truth', 3)), ('or', ('lying', 3), ('telling-truth', 1)), ('or', ('lying', 1), ('telling-truth', 4)), ('->', ('lying', 1), ('telling-truth', 1)), ('lying', 1))", "index": 181}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Lily, Logan, Amelia, Liam, and Ava. \"If Ava is a knight then Amelia is a knight,\" Lily claimed. \"Amelia is a knight if and only if Ava is a knave,\" Logan mentioned. In Amelia's words: \"Logan is a knight if and only if Liam is a knave\". Liam expressed that Lily is a knight and Ava is a knight. Ava expressed that If Logan is a knight then Lily is a knight. So who is a knight and who is a knave?", "names": ["Lily", "Logan", "Amelia", "Liam", "Ava"], "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": "Lily is a knight, Logan is a knave, Amelia is a knight, Liam is a knight, and Ava is a knight.", "solution_text_format": "(1) Lily is a knight\n(2) Logan is a knave\n(3) Amelia is a knight\n(4) Liam 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 Lily is a knight. No contradiction is found in their claim that If Ava is a knight then Amelia is a knight.", "Assume Ava is a knight. No contradiction is found in their claim that If Logan is a knight then Lily is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that Amelia is a knight if and only if Ava is a knave.", "Amelia cannot be a knight, because this would contradict the claim of Logan that Amelia is a knight if and only if Ava is a knave.", "Amelia cannot be a knave, because this would contradict the claim of Lily that If Ava is a knight then Amelia is a knight.", "We have exhausted all possibilities for Amelia, so let us go back and reconsider Logan.", "Assume Logan is a knave. No contradiction is found in their false claim that Amelia is a knight if and only if Ava is a knave.", "Assume Amelia is a knight. No contradiction is found in their claim that Logan is a knight if and only if Liam is a knave.", "Assume Liam is a knight. No contradiction is found in their claim that Lily is a knight and Ava is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 4), ('telling-truth', 2)), ('<=>', ('telling-truth', 2), ('lying', 4)), ('<=>', ('telling-truth', 1), ('lying', 3)), ('and', ('telling-truth', 0), ('telling-truth', 4)), ('->', ('telling-truth', 1), ('telling-truth', 0)))", "index": 182}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Mia, Penelope, Harper, Michael, and Sophia. Mia noted, \"Mia is a knight or Sophia is a knight\". \"If Mia is a knight then Harper is a knight,\" Penelope declared. According to Harper, \"If Michael is a knight then Mia is a knight\". As Michael put it, \"If Harper is a knave then Penelope is a knight\". Sophia asserted: \"Michael is not a knave\". So who is a knight and who is a knave?", "names": ["Mia", "Penelope", "Harper", "Michael", "Sophia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, true], "solution_text": "Mia is a knight, Penelope is a knight, Harper is a knight, Michael is a knight, and Sophia is a knight.", "solution_text_format": "(1) Mia is a knight\n(2) Penelope is a knight\n(3) Harper is a knight\n(4) Michael is a knight\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 Mia is a knight. No contradiction is found in their claim that Mia is a knight or Sophia is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that Michael is not a knave.", "Assume Michael is a knight. No contradiction is found in their claim that If Harper is a knave then Penelope is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that If Michael is a knight then Mia is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that If Mia is a knight then Harper is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 0), ('telling-truth', 4)), ('->', ('telling-truth', 0), ('telling-truth', 2)), ('->', ('telling-truth', 3), ('telling-truth', 0)), ('->', ('lying', 2), ('telling-truth', 1)), ('not', ('lying', 3)))", "index": 183}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Avery, Chloe, Daniel, Abigail, and Elizabeth. \"If Chloe is a knave then Daniel is a knight,\" Avery declared. \"Avery is a knave and Daniel is a knight,\" Chloe claimed. \"If Elizabeth is a knave then Chloe is a knight,\" Daniel claimed. Abigail remarked, \"Daniel is a knave if and only if Avery is a knave\". \"Avery is a knave if and only if Elizabeth is a knight\" - Elizabeth. So who is a knight and who is a knave?", "names": ["Avery", "Chloe", "Daniel", "Abigail", "Elizabeth"], "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": "Avery is a knave, Chloe is a knave, Daniel is a knave, Abigail is a knight, and Elizabeth is a knave.", "solution_text_format": "(1) Avery is a knave\n(2) Chloe is a knave\n(3) Daniel is a knave\n(4) Abigail 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 Avery is a knight. No contradiction is found in their claim that If Chloe is a knave then Daniel is a knight.", "Chloe cannot be a knight, because this would contradict the claim of their own that Avery is a knave and Daniel is a knight.", "Assume Chloe is a knave. No contradiction is found in their false claim that Avery is a knave and Daniel is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that If Elizabeth is a knave then Chloe is a knight.", "Elizabeth cannot be a knight, because this would contradict the claim of their own that Avery is a knave if and only if Elizabeth is a knight.", "Elizabeth cannot be a knave, because this would contradict the claim of Daniel that If Elizabeth is a knave then Chloe is a knight.", "We have exhausted all possibilities for Elizabeth, so let us go back and reconsider Daniel.", "Daniel cannot be a knave, because this would contradict the claim of Avery that If Chloe is a knave then Daniel is a knight.", "We have exhausted all possibilities for Daniel and Chloe, so let us go back and reconsider Avery.", "Assume Avery is a knave. No contradiction is found in their false claim that If Chloe is a knave then Daniel is a knight.", "Chloe cannot be a knight, because this would contradict the false claim of Avery that If Chloe is a knave then Daniel is a knight.", "Assume Chloe is a knave. No contradiction is found in their false claim that Avery is a knave and Daniel is a knight.", "Daniel cannot be a knight, because this would contradict the false claim of Avery that If Chloe is a knave then Daniel is a knight.", "Assume Daniel is a knave. No contradiction is found in their false claim that If Elizabeth is a knave then Chloe is a knight.", "Elizabeth cannot be a knight, because this would contradict the false claim of Daniel that If Elizabeth is a knave then Chloe is a knight.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Avery is a knave if and only if Elizabeth is a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that Daniel is a knave if and only if Avery is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 1), ('telling-truth', 2)), ('and', ('lying', 0), ('telling-truth', 2)), ('->', ('lying', 4), ('telling-truth', 1)), ('<=>', ('lying', 2), ('lying', 0)), ('<=>', ('lying', 0), ('telling-truth', 4)))", "index": 184}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Sebastian, Zoey, Alexander, Riley, and Noah. As Sebastian put it, \"If Alexander is a knave then Zoey is a knave\". \"Noah is a knight or Sebastian is a knight,\" Zoey claimed. Alexander noted, \"If Sebastian is a knave then Sebastian is a knight\". Riley commented, \"Sebastian is a knight\". Noah stated, \"Zoey is a knave\". So who is a knight and who is a knave?", "names": ["Sebastian", "Zoey", "Alexander", "Riley", "Noah"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, false], "solution_text": "Sebastian is a knight, Zoey is a knight, Alexander is a knight, Riley is a knight, and Noah is a knave.", "solution_text_format": "(1) Sebastian is a knight\n(2) Zoey is a knight\n(3) Alexander is a knight\n(4) Riley is a knight\n(5) Noah is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sebastian is a knight. No contradiction is found in their claim that If Alexander is a knave then Zoey is a knave.", "Assume Alexander is a knight. No contradiction is found in their claim that If Sebastian is a knave then Sebastian is a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that Noah is a knight or Sebastian is a knight.", "Noah cannot be a knight, because this would contradict the claim of their own that Zoey is a knave.", "Assume Noah is a knave. No contradiction is found in their false claim that Zoey is a knave.", "Assume Riley is a knight. No contradiction is found in their claim that Sebastian is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 2), ('lying', 1)), ('or', ('telling-truth', 4), ('telling-truth', 0)), ('->', ('lying', 0), ('telling-truth', 0)), ('telling-truth', 0), ('lying', 1))", "index": 185}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Ava, Oliver, Victoria, Amelia, and Lucas. Ava noted, \"Oliver is a knight and Victoria is a knave\". Oliver said, \"Lucas is a knight if and only if Victoria is a knight.\" Victoria remarked, \"Amelia is not a knight\". Amelia told you that Ava is a knight and Victoria is a knave. In Lucas's words: \"If Lucas is a knight then Victoria is a knight\". So who is a knight and who is a knave?", "names": ["Ava", "Oliver", "Victoria", "Amelia", "Lucas"], "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": "Ava is a knave, Oliver is a knight, Victoria is a knight, Amelia is a knave, and Lucas is a knight.", "solution_text_format": "(1) Ava is a knave\n(2) Oliver is a knight\n(3) Victoria is a knight\n(4) Amelia 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 Ava is a knight. No contradiction is found in their claim that Oliver is a knight and Victoria is a knave.", "Assume Oliver is a knight. No contradiction is found in their claim that Lucas is a knight if and only if Victoria is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that If Lucas is a knight then Victoria is a knight.", "Victoria cannot be a knight, because this would contradict the claim of Ava that Oliver is a knight and Victoria is a knave.", "Victoria cannot be a knave, because this would contradict the claim of Oliver that Lucas is a knight if and only if Victoria is a knight.", "We have exhausted all possibilities for Victoria, so let us go back and reconsider Lucas.", "Lucas cannot be a knave, because this would contradict the false claim of their own that If Lucas is a knight then Victoria is a knight.", "We have exhausted all possibilities for Lucas, so let us go back and reconsider Oliver.", "Oliver cannot be a knave, because this would contradict the claim of Ava that Oliver is a knight and Victoria is a knave.", "We have exhausted all possibilities for Oliver, so let us go back and reconsider Ava.", "Assume Ava is a knave. No contradiction is found in their false claim that Oliver is a knight and Victoria is a knave.", "Assume Oliver is a knight. No contradiction is found in their claim that Lucas is a knight if and only if Victoria is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that If Lucas is a knight then Victoria is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that Amelia is not a knight.", "Amelia cannot be a knight, because this would contradict the claim of Victoria that Amelia is not a knight.", "Assume Amelia is a knave. No contradiction is found in their false claim that Ava is a knight and Victoria is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('lying', 2)), ('<=>', ('telling-truth', 4), ('telling-truth', 2)), ('not', ('telling-truth', 3)), ('and', ('telling-truth', 0), ('lying', 2)), ('->', ('telling-truth', 4), ('telling-truth', 2)))", "index": 186}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Victoria, Mason, Abigail, Samuel, and Aurora. Victoria asserted: \"Victoria is a knight if and only if Abigail is a knight\". \"Samuel is a knave if and only if Victoria is a knave\" - Mason. In a statement by Abigail: \"Samuel is a knight\". Samuel stated, \"Victoria is a knight and Abigail is a knight\". Aurora expressed that Samuel is a knave. So who is a knight and who is a knave?", "names": ["Victoria", "Mason", "Abigail", "Samuel", "Aurora"], "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": "Victoria is a knight, Mason is a knight, Abigail is a knight, Samuel is a knight, and Aurora is a knave.", "solution_text_format": "(1) Victoria is a knight\n(2) Mason is a knight\n(3) Abigail is a knight\n(4) Samuel is a knight\n(5) Aurora is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Victoria is a knight. No contradiction is found in their claim that Victoria is a knight if and only if Abigail is a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that Samuel is a knight.", "Assume Samuel is a knight. No contradiction is found in their claim that Victoria is a knight and Abigail is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that Samuel is a knave if and only if Victoria is a knave.", "Aurora cannot be a knight, because this would contradict the claim of their own that Samuel is a knave.", "Assume Aurora is a knave. No contradiction is found in their false claim that Samuel is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 0), ('telling-truth', 2)), ('<=>', ('lying', 3), ('lying', 0)), ('telling-truth', 3), ('and', ('telling-truth', 0), ('telling-truth', 2)), ('lying', 3))", "index": 187}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Sophia, Benjamin, Joseph, Victoria, and Alexander. Sophia asserted: \"Joseph is not a knight\". Benjamin said, \"Joseph is a knave.\" Joseph told you that If Alexander is a knave then Sophia is a knave. In Victoria's words: \"Joseph is a knave and Benjamin is a knave\". Alexander noted, \"Victoria is not a knight\". So who is a knight and who is a knave?", "names": ["Sophia", "Benjamin", "Joseph", "Victoria", "Alexander"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false, true], "solution_text": "Sophia is a knave, Benjamin is a knave, Joseph is a knight, Victoria is a knave, and Alexander is a knight.", "solution_text_format": "(1) Sophia is a knave\n(2) Benjamin is a knave\n(3) Joseph is a knight\n(4) Victoria is a knave\n(5) 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 Sophia is a knight. No contradiction is found in their claim that Joseph is not a knight.", "Joseph cannot be a knight, because this would contradict the claim of Sophia that Joseph is not a knight.", "Assume Joseph is a knave. No contradiction is found in their false claim that If Alexander is a knave then Sophia is a knave.", "Alexander cannot be a knight, because this would contradict the false claim of Joseph that If Alexander is a knave then Sophia is a knave.", "Assume Alexander is a knave. No contradiction is found in their false claim that Victoria is not a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that Joseph is a knave and Benjamin is a knave.", "Benjamin cannot be a knight, because this would contradict the claim of Victoria that Joseph is a knave and Benjamin is a knave.", "Benjamin cannot be a knave, because this would contradict the false claim of their own that Joseph is a knave.", "We have exhausted all possibilities for Benjamin, so let us go back and reconsider Victoria.", "Victoria cannot be a knave, because this would contradict the false claim of Alexander that Victoria is not a knight.", "We have exhausted all possibilities for Victoria, Alexander, and Joseph, so let us go back and reconsider Sophia.", "Assume Sophia is a knave. No contradiction is found in their false claim that Joseph is not a knight.", "Assume Joseph is a knight. No contradiction is found in their claim that If Alexander is a knave then Sophia is a knave.", "Assume Alexander is a knight. No contradiction is found in their claim that Victoria is not a knight.", "Victoria cannot be a knight, because this would contradict the claim of their own that Joseph is a knave and Benjamin is a knave.", "Assume Victoria is a knave. No contradiction is found in their false claim that Joseph is a knave and Benjamin is a knave.", "Benjamin cannot be a knight, because this would contradict the claim of their own that Joseph is a knave.", "Assume Benjamin 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": "(('not', ('telling-truth', 2)), ('lying', 2), ('->', ('lying', 4), ('lying', 0)), ('and', ('lying', 2), ('lying', 1)), ('not', ('telling-truth', 3)))", "index": 188}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Abigail, Elizabeth, Joseph, Benjamin, and Sofia. Abigail said, \"Abigail is a knight and Sofia is a knight.\" As Elizabeth put it, \"Abigail is a knight if and only if Abigail is a knave\". Joseph said, \"Benjamin is a knave or Abigail is a knight.\" \"Sofia is a knave and Sofia is a knight,\" Benjamin declared. As Sofia put it, \"Joseph is a knave if and only if Abigail is a knight\". So who is a knight and who is a knave?", "names": ["Abigail", "Elizabeth", "Joseph", "Benjamin", "Sofia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false, true], "solution_text": "Abigail is a knave, Elizabeth is a knave, Joseph is a knight, Benjamin is a knave, and Sofia is a knight.", "solution_text_format": "(1) Abigail is a knave\n(2) Elizabeth is a knave\n(3) Joseph is a knight\n(4) Benjamin 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 Abigail is a knight. No contradiction is found in their claim that Abigail is a knight and Sofia is a knight.", "Assume Sofia is a knight. No contradiction is found in their claim that Joseph is a knave if and only if Abigail is a knight.", "Joseph cannot be a knight, because this would contradict the claim of Sofia that Joseph is a knave if and only if Abigail is a knight.", "Joseph cannot be a knave, because this would contradict the false claim of their own that Benjamin is a knave or Abigail is a knight.", "We have exhausted all possibilities for Joseph, so let us go back and reconsider Sofia.", "Sofia cannot be a knave, because this would contradict the claim of Abigail that Abigail is a knight and Sofia is a knight.", "We have exhausted all possibilities for Sofia, so let us go back and reconsider Abigail.", "Assume Abigail is a knave. No contradiction is found in their false claim that Abigail is a knight and Sofia is a knight.", "Assume Sofia is a knight. No contradiction is found in their claim that Joseph is a knave if and only if Abigail is a knight.", "Assume Joseph is a knight. No contradiction is found in their claim that Benjamin is a knave or Abigail is a knight.", "Benjamin cannot be a knight, because this would contradict the claim of Joseph that Benjamin is a knave or Abigail is a knight.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Sofia is a knave and Sofia is a knight.", "Elizabeth cannot be a knight, because this would contradict the claim of their own that Abigail is a knight if and only if Abigail is a knave.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Abigail is a knight if and only if Abigail is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 0), ('telling-truth', 4)), ('<=>', ('telling-truth', 0), ('lying', 0)), ('or', ('lying', 3), ('telling-truth', 0)), ('and', ('lying', 4), ('telling-truth', 4)), ('<=>', ('lying', 2), ('telling-truth', 0)))", "index": 189}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Isabella, Emily, Ella, Samuel, and Amelia. Isabella noted, \"Samuel is a knight or Samuel is a knave\". \"Amelia is a knave or Ella is a knight,\" Emily declared. Ella noted, \"Emily is not a knave\". Samuel was heard saying, \"Ella is not a knave\". \"Samuel is a knave and Ella is a knight,\" Amelia declared. So who is a knight and who is a knave?", "names": ["Isabella", "Emily", "Ella", "Samuel", "Amelia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, false], "solution_text": "Isabella is a knight, Emily is a knight, Ella is a knight, Samuel is a knight, and Amelia is a knave.", "solution_text_format": "(1) Isabella is a knight\n(2) Emily is a knight\n(3) Ella is a knight\n(4) Samuel is a knight\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 Isabella is a knight. No contradiction is found in their claim that Samuel is a knight or Samuel is a knave.", "Assume Samuel is a knight. No contradiction is found in their claim that Ella is not a knave.", "Assume Ella is a knight. No contradiction is found in their claim that Emily is not a knave.", "Assume Emily is a knight. No contradiction is found in their claim that Amelia is a knave or Ella is a knight.", "Amelia cannot be a knight, because this would contradict the claim of their own that Samuel is a knave and Ella is a knight.", "Assume Amelia is a knave. No contradiction is found in their false claim that Samuel is a knave and Ella is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 3), ('lying', 3)), ('or', ('lying', 4), ('telling-truth', 2)), ('not', ('lying', 1)), ('not', ('lying', 2)), ('and', ('lying', 3), ('telling-truth', 2)))", "index": 190}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: William, Mason, Joseph, Lucas, and Victoria. William remarked, \"Lucas is a knave or Mason is a knight\". Mason asserted: \"Victoria is a knight\". \"If Mason is a knave then Mason is a knight,\" Joseph claimed. \"Victoria is a knight and William is a knight,\" Lucas declared. Victoria commented, \"If Lucas is a knight then William is a knight\". So who is a knight and who is a knave?", "names": ["William", "Mason", "Joseph", "Lucas", "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": "William is a knight, Mason is a knight, Joseph is a knight, Lucas is a knight, and Victoria is a knight.", "solution_text_format": "(1) William is a knight\n(2) Mason is a knight\n(3) Joseph is a knight\n(4) Lucas 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 William is a knight. No contradiction is found in their claim that Lucas is a knave or Mason is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that Victoria is a knight and William is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that If Lucas is a knight then William is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that Victoria is a knight.", "Assume Joseph is a knight. No contradiction is found in their claim that If Mason is a knave then Mason is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 3), ('telling-truth', 1)), ('telling-truth', 4), ('->', ('lying', 1), ('telling-truth', 1)), ('and', ('telling-truth', 4), ('telling-truth', 0)), ('->', ('telling-truth', 3), ('telling-truth', 0)))", "index": 191}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Scarlett, Michael, Ethan, Grace, and Joseph. According to Scarlett, \"Joseph is a knight if and only if Ethan is a knight\". \"Ethan is a knight or Joseph is a knave\" - Michael. \"Scarlett is not a knight,\" Ethan claimed. Grace remarked, \"Michael is not a knight\". \"If Scarlett is a knight then Michael is a knave\" - Joseph. So who is a knight and who is a knave?", "names": ["Scarlett", "Michael", "Ethan", "Grace", "Joseph"], "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": "Scarlett is a knight, Michael is a knight, Ethan is a knave, Grace is a knave, and Joseph is a knave.", "solution_text_format": "(1) Scarlett is a knight\n(2) Michael is a knight\n(3) Ethan is a knave\n(4) Grace is a knave\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 Scarlett is a knight. No contradiction is found in their claim that Joseph is a knight if and only if Ethan is a knight.", "Assume Joseph is a knight. No contradiction is found in their claim that If Scarlett is a knight then Michael is a knave.", "Michael cannot be a knight, because this would contradict the claim of Joseph that If Scarlett is a knight then Michael is a knave.", "Assume Michael is a knave. No contradiction is found in their false claim that Ethan is a knight or Joseph is a knave.", "Ethan cannot be a knight, because this would contradict the false claim of Michael that Ethan is a knight or Joseph is a knave.", "Ethan cannot be a knave, because this would contradict the claim of Scarlett that Joseph is a knight if and only if Ethan is a knight.", "We have exhausted all possibilities for Ethan and Michael, so let us go back and reconsider Joseph.", "Assume Joseph is a knave. No contradiction is found in their false claim that If Scarlett is a knight then Michael is a knave.", "Assume Michael is a knight. No contradiction is found in their claim that Ethan is a knight or Joseph is a knave.", "Ethan cannot be a knight, because this would contradict the claim of Scarlett that Joseph is a knight if and only if Ethan is a knight.", "Assume Ethan is a knave. No contradiction is found in their false claim that Scarlett is not a knight.", "Grace cannot be a knight, because this would contradict the claim of their own that Michael is not a knight.", "Assume Grace is a knave. No contradiction is found in their false claim that Michael is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 4), ('telling-truth', 2)), ('or', ('telling-truth', 2), ('lying', 4)), ('not', ('telling-truth', 0)), ('not', ('telling-truth', 1)), ('->', ('telling-truth', 0), ('lying', 1)))", "index": 192}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Alexander, James, Sofia, Chloe, and Mia. Alexander stated, \"Mia is a knight\". James remarked, \"Chloe is a knave or Alexander is a knave\". \"Chloe is a knave,\" Sofia declared. Chloe noted, \"James is a knight and Alexander is a knight\". Mia said that Chloe is a knight if and only if Sofia is a knight. So who is a knight and who is a knave?", "names": ["Alexander", "James", "Sofia", "Chloe", "Mia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false, false], "solution_text": "Alexander is a knave, James is a knight, Sofia is a knight, Chloe is a knave, and Mia is a knave.", "solution_text_format": "(1) Alexander is a knave\n(2) James is a knight\n(3) Sofia is a knight\n(4) Chloe 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 Alexander is a knight. No contradiction is found in their claim that Mia is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that Chloe is a knight if and only if Sofia is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that James is a knight and Alexander is a knight.", "James cannot be a knight, because this would contradict the claim of their own that Chloe is a knave or Alexander is a knave.", "James cannot be a knave, because this would contradict the claim of Chloe that James is a knight and Alexander is a knight.", "We have exhausted all possibilities for James, so let us go back and reconsider Chloe.", "Assume Chloe is a knave. No contradiction is found in their false claim that James is a knight and Alexander is a knight.", "James cannot be a knight, because this would contradict the false claim of Chloe that James is a knight and Alexander is a knight.", "James cannot be a knave, because this would contradict the false claim of their own that Chloe is a knave or Alexander is a knave.", "We have exhausted all possibilities for James and Chloe, so let us go back and reconsider Mia.", "Mia cannot be a knave, because this would contradict the claim of Alexander that Mia is a knight.", "We have exhausted all possibilities for Mia, so let us go back and reconsider Alexander.", "Assume Alexander is a knave. No contradiction is found in their false claim that Mia is a knight.", "Mia cannot be a knight, because this would contradict the false claim of Alexander that Mia is a knight.", "Assume Mia is a knave. No contradiction is found in their false claim that Chloe is a knight if and only if Sofia is a knight.", "Chloe cannot be a knight, because this would contradict the claim of their own that James is a knight and Alexander is a knight.", "Assume Chloe is a knave. No contradiction is found in their false claim that James is a knight and Alexander is a knight.", "Assume James is a knight. No contradiction is found in their claim that Chloe is a knave or Alexander is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that Chloe is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 4), ('or', ('lying', 3), ('lying', 0)), ('lying', 3), ('and', ('telling-truth', 1), ('telling-truth', 0)), ('<=>', ('telling-truth', 3), ('telling-truth', 2)))", "index": 193}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Zoey, Sophia, Michael, Matthew, and Logan. In Zoey's words: \"Logan is a knight\". In Sophia's words: \"Logan is a knight or Logan is a knave\". \"Matthew is a knight,\" Michael claimed. \"If Zoey is a knight then Sophia is a knight,\" Matthew mentioned. Logan said that Matthew is a knave or Michael is a knave. So who is a knight and who is a knave?", "names": ["Zoey", "Sophia", "Michael", "Matthew", "Logan"], "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": "Zoey is a knave, Sophia is a knight, Michael is a knight, Matthew is a knight, and Logan is a knave.", "solution_text_format": "(1) Zoey is a knave\n(2) Sophia is a knight\n(3) Michael is a knight\n(4) Matthew is a knight\n(5) Logan is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Zoey is a knight. No contradiction is found in their claim that Logan is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that Matthew is a knave or Michael is a knave.", "Assume Matthew is a knight. No contradiction is found in their claim that If Zoey is a knight then Sophia is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that Logan is a knight or Logan is a knave.", "Michael cannot be a knight, because this would contradict the claim of Logan that Matthew is a knave or Michael is a knave.", "Michael cannot be a knave, because this would contradict the false claim of their own that Matthew is a knight.", "We have exhausted all possibilities for Michael, so let us go back and reconsider Sophia.", "Sophia cannot be a knave, because this would contradict the false claim of their own that Logan is a knight or Logan is a knave.", "We have exhausted all possibilities for Sophia, so let us go back and reconsider Matthew.", "Assume Matthew is a knave. No contradiction is found in their false claim that If Zoey is a knight then Sophia is a knight.", "Sophia cannot be a knight, because this would contradict the false claim of Matthew that If Zoey is a knight then Sophia is a knight.", "Sophia cannot be a knave, because this would contradict the false claim of their own that Logan is a knight or Logan is a knave.", "We have exhausted all possibilities for Sophia and Matthew, so let us go back and reconsider Logan.", "Logan cannot be a knave, because this would contradict the claim of Zoey that Logan is a knight.", "We have exhausted all possibilities for Logan, so let us go back and reconsider Zoey.", "Assume Zoey 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 Zoey that Logan is a knight.", "Assume Logan is a knave. No contradiction is found in their false claim that Matthew is a knave or Michael is a knave.", "Assume Matthew is a knight. No contradiction is found in their claim that If Zoey is a knight then Sophia is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that Logan is a knight or Logan is a knave.", "Assume Michael is a knight. No contradiction is found in their claim that Matthew is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 4), ('or', ('telling-truth', 4), ('lying', 4)), ('telling-truth', 3), ('->', ('telling-truth', 0), ('telling-truth', 1)), ('or', ('lying', 3), ('lying', 2)))", "index": 194}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: James, Sofia, Liam, Aiden, and Ella. As James put it, \"Sofia is a knight if and only if Sofia is a knave\". \"Ella is not a knight,\" Sofia claimed. \"Aiden is a knight,\" Liam declared. Aiden said that Sofia is a knight or Ella is a knave. Ella commented, \"Liam is a knave and Sofia is a knight\". So who is a knight and who is a knave?", "names": ["James", "Sofia", "Liam", "Aiden", "Ella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, false], "solution_text": "James is a knave, Sofia is a knight, Liam is a knight, Aiden is a knight, and Ella is a knave.", "solution_text_format": "(1) James is a knave\n(2) Sofia is a knight\n(3) Liam is a knight\n(4) Aiden is a knight\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": ["James 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 James 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 Ella is not a knight.", "Ella cannot be a knight, because this would contradict the claim of Sofia that Ella is not a knight.", "Assume Ella is a knave. No contradiction is found in their false claim that Liam is a knave and Sofia is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that Aiden is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that Sofia is a knight or Ella is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('lying', 1)), ('not', ('telling-truth', 4)), ('telling-truth', 3), ('or', ('telling-truth', 1), ('lying', 4)), ('and', ('lying', 2), ('telling-truth', 1)))", "index": 195}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Harper, Isabella, Mia, Emma, and James. As Harper put it, \"Isabella is a knave or Isabella is a knight\". Isabella stated, \"Harper is a knight or James is a knight\". \"Emma is not a knave,\" Mia mentioned. \"If Mia is a knave then Harper is a knight,\" Emma claimed. James asserted: \"If Isabella is a knight then Mia is a knight\". So who is a knight and who is a knave?", "names": ["Harper", "Isabella", "Mia", "Emma", "James"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, true], "solution_text": "Harper is a knight, Isabella is a knight, Mia is a knight, Emma is a knight, and James is a knight.", "solution_text_format": "(1) Harper is a knight\n(2) Isabella is a knight\n(3) Mia is a knight\n(4) Emma is a knight\n(5) James is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Harper is a knight. No contradiction is found in their claim that Isabella is a knave or Isabella is a knight.", "Assume Isabella is a knight. No contradiction is found in their claim that Harper is a knight or James is a knight.", "Assume James is a knight. No contradiction is found in their claim that If Isabella is a knight then Mia is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that Emma is not a knave.", "Assume Emma is a knight. No contradiction is found in their claim that If Mia is a knave then Harper is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('telling-truth', 1)), ('or', ('telling-truth', 0), ('telling-truth', 4)), ('not', ('lying', 3)), ('->', ('lying', 2), ('telling-truth', 0)), ('->', ('telling-truth', 1), ('telling-truth', 2)))", "index": 196}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Owen, Victoria, Noah, Riley, and Lily. \"Owen is a knight if and only if Victoria is a knight,\" Owen mentioned. Victoria said that If Noah is a knight then Noah is a knave. According to Noah, \"Owen is a knave if and only if Riley is a knave\". Riley said that Riley is a knight and Noah is a knight. Lily said, \"If Noah is a knight then Owen is a knight.\" So who is a knight and who is a knave?", "names": ["Owen", "Victoria", "Noah", "Riley", "Lily"], "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": "Owen is a knight, Victoria is a knight, Noah is a knave, Riley is a knave, and Lily is a knight.", "solution_text_format": "(1) Owen is a knight\n(2) Victoria is a knight\n(3) Noah is a knave\n(4) Riley is a knave\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": ["Assume Owen is a knight. No contradiction is found in their claim that Owen is a knight if and only if Victoria is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that If Noah is a knight then Noah is a knave.", "Noah cannot be a knight, because this would contradict the claim of Victoria that If Noah is a knight then Noah is a knave.", "Assume Noah is a knave. No contradiction is found in their false claim that Owen is a knave if and only if Riley is a knave.", "Riley cannot be a knight, because this would contradict the false claim of Noah that Owen is a knave if and only if Riley is a knave.", "Assume Riley is a knave. No contradiction is found in their false claim that Riley is a knight and Noah is a knight.", "Assume Lily is a knight. No contradiction is found in their claim that If Noah is a knight then Owen is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 0), ('telling-truth', 1)), ('->', ('telling-truth', 2), ('lying', 2)), ('<=>', ('lying', 0), ('lying', 3)), ('and', ('telling-truth', 3), ('telling-truth', 2)), ('->', ('telling-truth', 2), ('telling-truth', 0)))", "index": 197}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Emma, Liam, Lily, Chloe, and Zoey. In Emma's words: \"Liam is a knave and Chloe is a knave\". Liam said that Zoey is a knight. Lily commented, \"Zoey is not a knave\". According to Chloe, \"Liam is not a knave\". \"If Zoey is a knight then Liam is a knight,\" Zoey claimed. So who is a knight and who is a knave?", "names": ["Emma", "Liam", "Lily", "Chloe", "Zoey"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, true], "solution_text": "Emma is a knave, Liam is a knight, Lily is a knight, Chloe is a knight, and Zoey is a knight.", "solution_text_format": "(1) Emma is a knave\n(2) Liam is a knight\n(3) Lily is a knight\n(4) Chloe is a knight\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 Emma is a knight. No contradiction is found in their claim that Liam is a knave and Chloe is a knave.", "Liam cannot be a knight, because this would contradict the claim of Emma that Liam is a knave and Chloe is a knave.", "Assume Liam is a knave. No contradiction is found in their false claim that Zoey is a knight.", "Zoey cannot be a knight, because this would contradict the false claim of Liam that Zoey is a knight.", "Zoey cannot be a knave, because this would contradict the false claim of their own that If Zoey is a knight then Liam is a knight.", "We have exhausted all possibilities for Zoey and Liam, so let us go back and reconsider Emma.", "Assume Emma is a knave. No contradiction is found in their false claim that Liam is a knave and Chloe is a knave.", "Assume Liam is a knight. No contradiction is found in their claim that Zoey is a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that If Zoey is a knight then Liam is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that Liam is not a knave.", "Assume Lily is a knight. No contradiction is found in their claim that Zoey is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('lying', 3)), ('telling-truth', 4), ('not', ('lying', 4)), ('not', ('lying', 1)), ('->', ('telling-truth', 4), ('telling-truth', 1)))", "index": 198}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Emily, Aurora, Zoey, Olivia, and Noah. Emily was heard saying, \"If Aurora is a knave then Olivia is a knight\". Aurora said that Olivia is not a knight. In a statement by Zoey: \"Aurora is a knave if and only if Olivia is a knight\". Olivia said, \"Emily is a knight if and only if Noah is a knave.\" Noah stated, \"Aurora is a knight or Zoey is a knight\". So who is a knight and who is a knave?", "names": ["Emily", "Aurora", "Zoey", "Olivia", "Noah"], "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": "Emily is a knight, Aurora is a knight, Zoey is a knight, Olivia is a knave, and Noah is a knight.", "solution_text_format": "(1) Emily is a knight\n(2) Aurora is a knight\n(3) Zoey is a knight\n(4) Olivia 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 Emily is a knight. No contradiction is found in their claim that If Aurora is a knave then Olivia is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that Olivia is not a knight.", "Olivia cannot be a knight, because this would contradict the claim of Aurora that Olivia is not a knight.", "Assume Olivia is a knave. No contradiction is found in their false claim that Emily is a knight if and only if Noah is a knave.", "Assume Noah is a knight. No contradiction is found in their claim that Aurora is a knight or Zoey is a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that Aurora is a knave if and only if Olivia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 1), ('telling-truth', 3)), ('not', ('telling-truth', 3)), ('<=>', ('lying', 1), ('telling-truth', 3)), ('<=>', ('telling-truth', 0), ('lying', 4)), ('or', ('telling-truth', 1), ('telling-truth', 2)))", "index": 199}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Emily, Oliver, Isabella, Olivia, and Sebastian. In a statement by Emily: \"Olivia is a knave\". Oliver said, \"Isabella is a knave.\" Isabella expressed that Emily is a knight if and only if Oliver is a knave. Olivia noted, \"Oliver is a knight\". \"If Sebastian is a knight then Oliver is a knave,\" Sebastian mentioned. So who is a knight and who is a knave?", "names": ["Emily", "Oliver", "Isabella", "Olivia", "Sebastian"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false, true], "solution_text": "Emily is a knight, Oliver is a knave, Isabella is a knight, Olivia is a knave, and Sebastian is a knight.", "solution_text_format": "(1) Emily is a knight\n(2) Oliver is a knave\n(3) Isabella is a knight\n(4) Olivia is a knave\n(5) Sebastian is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Emily 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 Emily that Olivia is a knave.", "Assume Olivia is a knave. No contradiction is found in their false claim that Oliver is a knight.", "Oliver cannot be a knight, because this would contradict the false claim of Olivia that Oliver is a knight.", "Assume Oliver is a knave. No contradiction is found in their false claim that Isabella is a knave.", "Assume Isabella is a knight. No contradiction is found in their claim that Emily is a knight if and only if Oliver is a knave.", "Assume Sebastian is a knight. No contradiction is found in their claim that If Sebastian is a knight then Oliver is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 3), ('lying', 2), ('<=>', ('telling-truth', 0), ('lying', 1)), ('telling-truth', 1), ('->', ('telling-truth', 4), ('lying', 1)))", "index": 200}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Sophia, Emily, Ava, David, and Jackson. Sophia asserted: \"Ava is a knight and Sophia is a knight\". Emily noted, \"Sophia is a knave if and only if Ava is a knave\". According to Ava, \"Emily is a knight or Sophia is a knight\". David expressed that Sophia is a knave and Jackson is a knight. Jackson was heard saying, \"Emily is a knight if and only if Sophia is a knave\". So who is a knight and who is a knave?", "names": ["Sophia", "Emily", "Ava", "David", "Jackson"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false, false], "solution_text": "Sophia is a knight, Emily is a knight, Ava is a knight, David is a knave, and Jackson is a knave.", "solution_text_format": "(1) Sophia is a knight\n(2) Emily is a knight\n(3) Ava is a knight\n(4) David 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 Sophia is a knight. No contradiction is found in their claim that Ava is a knight and Sophia is a knight.", "Assume Ava is a knight. No contradiction is found in their claim that Emily is a knight or Sophia is a knight.", "Assume Emily is a knight. No contradiction is found in their claim that Sophia is a knave if and only if Ava is a knave.", "David cannot be a knight, because this would contradict the claim of their own that Sophia is a knave and Jackson is a knight.", "Assume David is a knave. No contradiction is found in their false claim that Sophia is a knave and Jackson is a knight.", "Jackson cannot be a knight, because this would contradict the claim of their own that Emily is a knight if and only if Sophia is a knave.", "Assume Jackson is a knave. No contradiction is found in their false claim that Emily is a knight if and only if Sophia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 2), ('telling-truth', 0)), ('<=>', ('lying', 0), ('lying', 2)), ('or', ('telling-truth', 1), ('telling-truth', 0)), ('and', ('lying', 0), ('telling-truth', 4)), ('<=>', ('telling-truth', 1), ('lying', 0)))", "index": 201}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Logan, Abigail, Liam, Henry, and Noah. Logan stated, \"Noah is not a knave\". Abigail commented, \"If Logan is a knight then Henry is a knight\". Liam expressed that If Henry is a knight then Abigail is a knight. In Henry's words: \"Liam is a knight if and only if Abigail is a knave\". \"If Liam is a knight then Noah is a knight\" - Noah. So who is a knight and who is a knave?", "names": ["Logan", "Abigail", "Liam", "Henry", "Noah"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false, false], "solution_text": "Logan is a knave, Abigail is a knight, Liam is a knight, Henry is a knave, and Noah is a knave.", "solution_text_format": "(1) Logan is a knave\n(2) Abigail is a knight\n(3) Liam is a knight\n(4) Henry is a knave\n(5) Noah is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Logan is a knight. No contradiction is found in their claim that Noah is not a knave.", "Assume Noah is a knight. No contradiction is found in their claim that If Liam is a knight then Noah is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that If Henry is a knight then Abigail is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that Liam is a knight if and only if Abigail is a knave.", "Abigail cannot be a knight, because this would contradict the claim of Henry that Liam is a knight if and only if Abigail is a knave.", "Abigail cannot be a knave, because this would contradict the false claim of their own that If Logan is a knight then Henry is a knight.", "We have exhausted all possibilities for Abigail, so let us go back and reconsider Henry.", "Assume Henry is a knave. No contradiction is found in their false claim that Liam is a knight if and only if Abigail is a knave.", "Abigail cannot be a knight, because this would contradict the claim of their own that If Logan is a knight then Henry is a knight.", "Abigail cannot be a knave, because this would contradict the false claim of Henry that Liam is a knight if and only if Abigail is a knave.", "We have exhausted all possibilities for Abigail and Henry, so let us go back and reconsider Liam.", "Assume Liam is a knave. No contradiction is found in their false claim that If Henry is a knight then Abigail is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that Liam is a knight if and only if Abigail is a knave.", "Abigail cannot be a knight, because this would contradict the false claim of Liam that If Henry is a knight then Abigail is a knight.", "Abigail cannot be a knave, because this would contradict the false claim of their own that If Logan is a knight then Henry is a knight.", "We have exhausted all possibilities for Abigail, so let us go back and reconsider Henry.", "Henry cannot be a knave, because this would contradict the false claim of Liam that If Henry is a knight then Abigail is a knight.", "We have exhausted all possibilities for Henry and Liam, so let us go back and reconsider Noah.", "Noah cannot be a knave, because this would contradict the claim of Logan that Noah is not a knave.", "We have exhausted all possibilities for Noah, so let us go back and reconsider Logan.", "Assume Logan is a knave. No contradiction is found in their false claim that Noah is not a knave.", "Noah cannot be a knight, because this would contradict the false claim of Logan that Noah is not a knave.", "Assume Noah is a knave. No contradiction is found in their false claim that If Liam is a knight then Noah is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that If Henry is a knight then Abigail is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that Liam is a knight if and only if Abigail is a knave.", "Abigail cannot be a knight, because this would contradict the claim of Henry that Liam is a knight if and only if Abigail is a knave.", "Abigail cannot be a knave, because this would contradict the false claim of their own that If Logan is a knight then Henry is a knight.", "We have exhausted all possibilities for Abigail, so let us go back and reconsider Henry.", "Assume Henry is a knave. No contradiction is found in their false claim that Liam is a knight if and only if Abigail is a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that If Logan is a knight then Henry is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 4)), ('->', ('telling-truth', 0), ('telling-truth', 3)), ('->', ('telling-truth', 3), ('telling-truth', 1)), ('<=>', ('telling-truth', 2), ('lying', 1)), ('->', ('telling-truth', 2), ('telling-truth', 4)))", "index": 202}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Ava, Isabella, Zoey, Lily, and Emma. \"Ava is a knight or Lily is a knight,\" Ava mentioned. \"Lily is a knave,\" Isabella declared. Zoey told you that Isabella is a knight if and only if Ava is a knave. Lily was heard saying, \"Ava is a knight or Emma is a knight\". \"Zoey is a knight,\" Emma mentioned. So who is a knight and who is a knave?", "names": ["Ava", "Isabella", "Zoey", "Lily", "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": "Ava is a knight, Isabella is a knave, Zoey is a knight, Lily is a knight, and Emma is a knight.", "solution_text_format": "(1) Ava is a knight\n(2) Isabella is a knave\n(3) Zoey is a knight\n(4) Lily 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 Ava is a knight. No contradiction is found in their claim that Ava is a knight or Lily is a knight.", "Assume Lily is a knight. No contradiction is found in their claim that Ava is a knight or Emma is a knight.", "Assume Emma is a knight. No contradiction is found in their claim that Zoey is a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that Isabella is a knight if and only if Ava is a knave.", "Isabella cannot be a knight, because this would contradict the claim of their own that Lily is a knave.", "Assume Isabella is a knave. No contradiction is found in their false claim that Lily is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 0), ('telling-truth', 3)), ('lying', 3), ('<=>', ('telling-truth', 1), ('lying', 0)), ('or', ('telling-truth', 0), ('telling-truth', 4)), ('telling-truth', 2))", "index": 203}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: William, Ava, Aiden, Alexander, and Luke. William expressed that If Alexander is a knave then William is a knight. Ava expressed that If Alexander is a knight then Alexander is a knave. Aiden commented, \"Ava is a knave or William is a knight\". As Alexander put it, \"Aiden is a knave\". \"Aiden is a knight,\" Luke mentioned. So who is a knight and who is a knave?", "names": ["William", "Ava", "Aiden", "Alexander", "Luke"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false, true], "solution_text": "William is a knight, Ava is a knight, Aiden is a knight, Alexander is a knave, and Luke is a knight.", "solution_text_format": "(1) William is a knight\n(2) Ava is a knight\n(3) Aiden is a knight\n(4) Alexander 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 William is a knight. No contradiction is found in their claim that If Alexander is a knave then William is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that Aiden is a knave.", "Aiden cannot be a knight, because this would contradict the claim of Alexander that Aiden is a knave.", "Aiden cannot be a knave, because this would contradict the false claim of their own that Ava is a knave or William is a knight.", "We have exhausted all possibilities for Aiden, so let us go back and reconsider Alexander.", "Assume Alexander is a knave. No contradiction is found in their false claim that Aiden is a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that Ava is a knave or William is a knight.", "Assume Ava is a knight. No contradiction is found in their claim that If Alexander is a knight then Alexander is a knave.", "Assume Luke is a knight. No contradiction is found in their claim that Aiden is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 3), ('telling-truth', 0)), ('->', ('telling-truth', 3), ('lying', 3)), ('or', ('lying', 1), ('telling-truth', 0)), ('lying', 2), ('telling-truth', 2))", "index": 204}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Jackson, Luke, Emily, Jacob, and Aurora. Jackson remarked, \"Emily is a knight or Luke is a knave\". Luke was heard saying, \"Aurora is a knight and Aurora is a knave\". In a statement by Emily: \"If Jacob is a knight then Luke is a knave\". Jacob stated, \"If Emily is a knight then Jackson is a knight\". Aurora said, \"Jackson is a knight or Emily is a knight.\" So who is a knight and who is a knave?", "names": ["Jackson", "Luke", "Emily", "Jacob", "Aurora"], "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, Luke is a knave, Emily is a knight, Jacob is a knight, and Aurora is a knight.", "solution_text_format": "(1) Jackson is a knight\n(2) Luke is a knave\n(3) Emily is a knight\n(4) Jacob 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 Jackson is a knight. No contradiction is found in their claim that Emily is a knight or Luke is a knave.", "Assume Emily is a knight. No contradiction is found in their claim that If Jacob is a knight then Luke is a knave.", "Assume Jacob is a knight. No contradiction is found in their claim that If Emily is a knight then Jackson is a knight.", "Luke cannot be a knight, because this would contradict the claim of their own that Aurora is a knight and Aurora is a knave.", "Assume Luke is a knave. No contradiction is found in their false claim that Aurora is a knight and Aurora is a knave.", "Assume Aurora is a knight. No contradiction is found in their claim that Jackson is a knight or Emily is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 2), ('lying', 1)), ('and', ('telling-truth', 4), ('lying', 4)), ('->', ('telling-truth', 3), ('lying', 1)), ('->', ('telling-truth', 2), ('telling-truth', 0)), ('or', ('telling-truth', 0), ('telling-truth', 2)))", "index": 205}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Lucas, Sebastian, Samuel, Amelia, and Ethan. Lucas was heard saying, \"Ethan is not a knave\". Sebastian told you that Ethan is a knight and Sebastian is a knight. Samuel stated, \"If Samuel is a knight then Sebastian is a knave\". In Amelia's words: \"Ethan is not a knave\". \"Sebastian is a knave,\" Ethan mentioned. So who is a knight and who is a knave?", "names": ["Lucas", "Sebastian", "Samuel", "Amelia", "Ethan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, true], "solution_text": "Lucas is a knight, Sebastian is a knave, Samuel is a knight, Amelia is a knight, and Ethan is a knight.", "solution_text_format": "(1) Lucas is a knight\n(2) Sebastian is a knave\n(3) Samuel is a knight\n(4) Amelia is a knight\n(5) 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 Lucas is a knight. No contradiction is found in their claim that Ethan is not a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that Sebastian is a knave.", "Sebastian cannot be a knight, because this would contradict the claim of Ethan that Sebastian is a knave.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Ethan is a knight and Sebastian is a knight.", "Assume Samuel is a knight. No contradiction is found in their claim that If Samuel is a knight then Sebastian is a knave.", "Assume Amelia is a knight. No contradiction is found in their claim that Ethan is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 4)), ('and', ('telling-truth', 4), ('telling-truth', 1)), ('->', ('telling-truth', 2), ('lying', 1)), ('not', ('lying', 4)), ('lying', 1))", "index": 206}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Amelia, Ava, Charlotte, Ella, and Sebastian. Amelia was heard saying, \"Sebastian is a knave if and only if Charlotte is a knave\". Ava noted, \"Ava is a knight or Charlotte is a knave\". Charlotte stated, \"Sebastian is not a knight\". \"Amelia is a knave and Ava is a knight,\" Ella claimed. Sebastian said, \"If Ella is a knight then Ava is a knight.\" So who is a knight and who is a knave?", "names": ["Amelia", "Ava", "Charlotte", "Ella", "Sebastian"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true, true], "solution_text": "Amelia is a knave, Ava is a knight, Charlotte is a knave, Ella is a knight, and Sebastian is a knight.", "solution_text_format": "(1) Amelia is a knave\n(2) Ava is a knight\n(3) Charlotte is a knave\n(4) Ella is a knight\n(5) Sebastian is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Amelia is a knight. No contradiction is found in their claim that Sebastian is a knave if and only if Charlotte is a knave.", "Assume Sebastian is a knight. No contradiction is found in their claim that If Ella is a knight then Ava is a knight.", "Ella cannot be a knight, because this would contradict the claim of their own that Amelia is a knave and Ava is a knight.", "Assume Ella is a knave. No contradiction is found in their false claim that Amelia is a knave and Ava is a knight.", "Assume Ava is a knight. No contradiction is found in their claim that Ava is a knight or Charlotte is a knave.", "Charlotte cannot be a knight, because this would contradict the claim of their own that Sebastian is not a knight.", "Charlotte cannot be a knave, because this would contradict the claim of Amelia that Sebastian is a knave if and only if Charlotte is a knave.", "We have exhausted all possibilities for Charlotte, so let us go back and reconsider Ava.", "Assume Ava is a knave. No contradiction is found in their false claim that Ava is a knight or Charlotte is a knave.", "Charlotte cannot be a knight, because this would contradict the claim of their own that Sebastian is not a knight.", "Charlotte cannot be a knave, because this would contradict the claim of Amelia that Sebastian is a knave if and only if Charlotte is a knave.", "We have exhausted all possibilities for Charlotte, Ava, and Ella, so let us go back and reconsider Sebastian.", "Assume Sebastian is a knave. No contradiction is found in their false claim that If Ella is a knight then Ava is a knight.", "Ella cannot be a knight, because this would contradict the claim of their own that Amelia is a knave and Ava is a knight.", "Ella cannot be a knave, because this would contradict the false claim of Sebastian that If Ella is a knight then Ava is a knight.", "We have exhausted all possibilities for Ella and Sebastian, so let us go back and reconsider Amelia.", "Assume Amelia is a knave. No contradiction is found in their false claim that Sebastian is a knave if and only if Charlotte is a knave.", "Assume Sebastian is a knight. No contradiction is found in their claim that If Ella is a knight then Ava is a knight.", "Assume Ella is a knight. No contradiction is found in their claim that Amelia is a knave and Ava is a knight.", "Assume Ava is a knight. No contradiction is found in their claim that Ava is a knight or Charlotte is a knave.", "Charlotte cannot be a knight, because this would contradict the false claim of Amelia that Sebastian is a knave if and only if Charlotte is a knave.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Sebastian is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 4), ('lying', 2)), ('or', ('telling-truth', 1), ('lying', 2)), ('not', ('telling-truth', 4)), ('and', ('lying', 0), ('telling-truth', 1)), ('->', ('telling-truth', 3), ('telling-truth', 1)))", "index": 207}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Jackson, Elizabeth, Sebastian, William, and Lucas. Jackson expressed that William is not a knave. Elizabeth noted, \"William is a knight or Jackson is a knight\". Sebastian expressed that Jackson is a knight if and only if Elizabeth is a knave. In William's words: \"Lucas is a knave and Jackson is a knight\". In Lucas's words: \"William is a knight and Elizabeth is a knight\". So who is a knight and who is a knave?", "names": ["Jackson", "Elizabeth", "Sebastian", "William", "Lucas"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, false, false], "solution_text": "Jackson is a knave, Elizabeth is a knave, Sebastian is a knave, William is a knave, and Lucas is a knave.", "solution_text_format": "(1) Jackson is a knave\n(2) Elizabeth is a knave\n(3) Sebastian is a knave\n(4) William is a knave\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 Jackson is a knight. No contradiction is found in their claim that William is not a knave.", "Assume William is a knight. No contradiction is found in their claim that Lucas is a knave and Jackson is a knight.", "Lucas cannot be a knight, because this would contradict the claim of William that Lucas is a knave and Jackson is a knight.", "Assume Lucas is a knave. No contradiction is found in their false claim that William is a knight and Elizabeth is a knight.", "Elizabeth cannot be a knight, because this would contradict the false claim of Lucas that William is a knight and Elizabeth is a knight.", "Elizabeth cannot be a knave, because this would contradict the false claim of their own that William is a knight or Jackson is a knight.", "We have exhausted all possibilities for Elizabeth and Lucas, so let us go back and reconsider William.", "William cannot be a knave, because this would contradict the claim of Jackson that William is not a knave.", "We have exhausted all possibilities for William, so let us go back and reconsider Jackson.", "Assume Jackson is a knave. No contradiction is found in their false claim that William is not a knave.", "William cannot be a knight, because this would contradict the false claim of Jackson that William is not a knave.", "Assume William is a knave. No contradiction is found in their false claim that Lucas is a knave and Jackson is a knight.", "Lucas cannot be a knight, because this would contradict the claim of their own that William is a knight and Elizabeth is a knight.", "Assume Lucas is a knave. No contradiction is found in their false claim that William is a knight and Elizabeth is a knight.", "Elizabeth cannot be a knight, because this would contradict the claim of their own that William is a knight or Jackson is a knight.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that William is a knight or Jackson is a knight.", "Sebastian cannot be a knight, because this would contradict the claim of their own that Jackson is a knight if and only if Elizabeth is a knave.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Jackson is a knight if and only if Elizabeth is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 3)), ('or', ('telling-truth', 3), ('telling-truth', 0)), ('<=>', ('telling-truth', 0), ('lying', 1)), ('and', ('lying', 4), ('telling-truth', 0)), ('and', ('telling-truth', 3), ('telling-truth', 1)))", "index": 208}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Emily, Isabella, Sophia, Samuel, and Amelia. As Emily put it, \"Samuel is a knave or Isabella is a knave\". \"Samuel is not a knave,\" Isabella mentioned. Sophia said that Emily is a knave and Amelia is a knave. In a statement by Samuel: \"If Samuel is a knight then Amelia is a knave\". According to Amelia, \"If Emily is a knave then Emily is a knight\". So who is a knight and who is a knave?", "names": ["Emily", "Isabella", "Sophia", "Samuel", "Amelia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, false], "solution_text": "Emily is a knave, Isabella is a knight, Sophia is a knight, Samuel is a knight, and Amelia is a knave.", "solution_text_format": "(1) Emily is a knave\n(2) Isabella is a knight\n(3) Sophia is a knight\n(4) Samuel is a knight\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 Emily is a knight. No contradiction is found in their claim that Samuel is a knave or Isabella is a knave.", "Assume Samuel is a knight. No contradiction is found in their claim that If Samuel is a knight then Amelia is a knave.", "Amelia cannot be a knight, because this would contradict the claim of Samuel that If Samuel is a knight then Amelia is a knave.", "Amelia cannot be a knave, because this would contradict the false claim of their own that If Emily is a knave then Emily is a knight.", "We have exhausted all possibilities for Amelia, so let us go back and reconsider Samuel.", "Samuel cannot be a knave, because this would contradict the false claim of their own that If Samuel is a knight then Amelia is a knave.", "We have exhausted all possibilities for Samuel, so let us go back and reconsider Emily.", "Assume Emily is a knave. No contradiction is found in their false claim that Samuel is a knave or Isabella is a knave.", "Assume Samuel is a knight. No contradiction is found in their claim that If Samuel is a knight then Amelia is a knave.", "Amelia cannot be a knight, because this would contradict the claim of Samuel that If Samuel is a knight then Amelia is a knave.", "Assume Amelia is a knave. No contradiction is found in their false claim that If Emily is a knave then Emily is a knight.", "Assume Isabella is a knight. No contradiction is found in their claim that Samuel is not a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that Emily is a knave and Amelia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 3), ('lying', 1)), ('not', ('lying', 3)), ('and', ('lying', 0), ('lying', 4)), ('->', ('telling-truth', 3), ('lying', 4)), ('->', ('lying', 0), ('telling-truth', 0)))", "index": 209}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Olivia, Isabella, Noah, Chloe, and Avery. Olivia said that Chloe is a knave. In a statement by Isabella: \"Noah is a knight if and only if Avery is a knave\". Noah said, \"Avery is not a knave.\" As Chloe put it, \"Isabella is a knave and Noah is a knave\". In Avery's words: \"Olivia is a knave or Chloe is a knave\". So who is a knight and who is a knave?", "names": ["Olivia", "Isabella", "Noah", "Chloe", "Avery"], "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": "Olivia is a knight, Isabella is a knave, Noah is a knight, Chloe is a knave, and Avery is a knight.", "solution_text_format": "(1) Olivia is a knight\n(2) Isabella is a knave\n(3) Noah is a knight\n(4) Chloe 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 Olivia is a knight. No contradiction is found in their claim that Chloe is a knave.", "Chloe cannot be a knight, because this would contradict the claim of Olivia that Chloe is a knave.", "Assume Chloe is a knave. No contradiction is found in their false claim that Isabella is a knave and Noah is a knave.", "Assume Isabella is a knight. No contradiction is found in their claim that Noah is a knight if and only if Avery is a knave.", "Assume Noah is a knight. No contradiction is found in their claim that Avery is not a knave.", "Avery cannot be a knight, because this would contradict the claim of Isabella that Noah is a knight if and only if Avery is a knave.", "Avery cannot be a knave, because this would contradict the claim of Noah that Avery is not a knave.", "We have exhausted all possibilities for Avery, so let us go back and reconsider Noah.", "Assume Noah is a knave. No contradiction is found in their false claim that Avery is not a knave.", "Avery cannot be a knight, because this would contradict the false claim of Noah that Avery is not a knave.", "Avery cannot be a knave, because this would contradict the claim of Isabella that Noah is a knight if and only if Avery is a knave.", "We have exhausted all possibilities for Avery and Noah, so let us go back and reconsider Isabella.", "Assume Isabella is a knave. No contradiction is found in their false claim that Noah is a knight if and only if Avery is a knave.", "Assume Noah is a knight. No contradiction is found in their claim that Avery is not a knave.", "Assume Avery is a knight. No contradiction is found in their claim that Olivia is a knave or Chloe is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 3), ('<=>', ('telling-truth', 2), ('lying', 4)), ('not', ('lying', 4)), ('and', ('lying', 1), ('lying', 2)), ('or', ('lying', 0), ('lying', 3)))", "index": 210}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Oliver, Mason, Alexander, Isabella, and Riley. Oliver said, \"Riley is a knave.\" \"Alexander is not a knight,\" Mason mentioned. \"Riley is a knave if and only if Isabella is a knave,\" Alexander claimed. Isabella asserted: \"Oliver is a knave\". In a statement by Riley: \"Oliver is a knight and Oliver is a knave\". So who is a knight and who is a knave?", "names": ["Oliver", "Mason", "Alexander", "Isabella", "Riley"], "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": "Oliver is a knight, Mason is a knave, Alexander is a knight, Isabella is a knave, and Riley is a knave.", "solution_text_format": "(1) Oliver is a knight\n(2) Mason is a knave\n(3) Alexander is a knight\n(4) Isabella 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 Oliver 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 Oliver that Riley is a knave.", "Assume Riley is a knave. No contradiction is found in their false claim that Oliver is a knight and Oliver is a knave.", "Assume Mason 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 Mason that Alexander is not a knight.", "Assume Alexander is a knave. No contradiction is found in their false claim that Riley is a knave if and only if Isabella is a knave.", "Isabella cannot be a knight, because this would contradict the claim of their own that Oliver is a knave.", "Isabella cannot be a knave, because this would contradict the false claim of Alexander that Riley is a knave if and only if Isabella is a knave.", "We have exhausted all possibilities for Isabella and Alexander, so let us go back and reconsider Mason.", "Assume Mason is a knave. No contradiction is found in their false claim that Alexander is not a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that Riley is a knave if and only if Isabella is a knave.", "Isabella cannot be a knight, because this would contradict the claim of Alexander that Riley is a knave if and only if Isabella is a knave.", "Assume Isabella is a knave. No contradiction is found in their false claim that Oliver is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 4), ('not', ('telling-truth', 2)), ('<=>', ('lying', 4), ('lying', 3)), ('lying', 0), ('and', ('telling-truth', 0), ('lying', 0)))", "index": 211}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Scarlett, Luke, Chloe, Grace, and Jack. Scarlett said that Chloe is a knave if and only if Chloe is a knight. Luke said that If Luke is a knight then Grace is a knight. Chloe remarked, \"Luke is a knight or Grace is a knight\". In a statement by Grace: \"Jack is a knight or Grace is a knight\". As Jack put it, \"Luke is a knave and Grace is a knave\". So who is a knight and who is a knave?", "names": ["Scarlett", "Luke", "Chloe", "Grace", "Jack"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, false], "solution_text": "Scarlett is a knave, Luke is a knight, Chloe is a knight, Grace is a knight, and Jack is a knave.", "solution_text_format": "(1) Scarlett is a knave\n(2) Luke is a knight\n(3) Chloe is a knight\n(4) Grace is a knight\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": ["Scarlett cannot be a knight, because this would contradict the claim of their own that Chloe is a knave if and only if Chloe is a knight.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Chloe is a knave if and only if Chloe is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that Luke is a knight or Grace is a knight.", "Assume Luke is a knight. No contradiction is found in their claim that If Luke is a knight then Grace is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that Jack is a knight or Grace is a knight.", "Jack cannot be a knight, because this would contradict the claim of their own that Luke is a knave and Grace is a knave.", "Assume Jack is a knave. No contradiction is found in their false claim that Luke is a knave and Grace is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 2), ('telling-truth', 2)), ('->', ('telling-truth', 1), ('telling-truth', 3)), ('or', ('telling-truth', 1), ('telling-truth', 3)), ('or', ('telling-truth', 4), ('telling-truth', 3)), ('and', ('lying', 1), ('lying', 3)))", "index": 212}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Sebastian, Matthew, Olivia, Mason, and Benjamin. Sebastian said, \"If Matthew is a knight then Olivia is a knight.\" \"Mason is a knave or Benjamin is a knave,\" Matthew claimed. In a statement by Olivia: \"Sebastian is a knight or Benjamin is a knave\". Mason commented, \"Sebastian is a knave\". \"Olivia is a knight or Olivia is a knave,\" Benjamin mentioned. So who is a knight and who is a knave?", "names": ["Sebastian", "Matthew", "Olivia", "Mason", "Benjamin"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false, true], "solution_text": "Sebastian is a knight, Matthew is a knight, Olivia is a knight, Mason is a knave, and Benjamin is a knight.", "solution_text_format": "(1) Sebastian is a knight\n(2) Matthew is a knight\n(3) Olivia is a knight\n(4) Mason is a knave\n(5) Benjamin is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sebastian is a knight. No contradiction is found in their claim that If Matthew is a knight then Olivia is a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that Mason is a knave or Benjamin is a knave.", "Mason cannot be a knight, because this would contradict the claim of their own that Sebastian is a knave.", "Assume Mason is a knave. No contradiction is found in their false claim that Sebastian is a knave.", "Assume Benjamin is a knight. No contradiction is found in their claim that Olivia is a knight or Olivia is a knave.", "Assume Olivia is a knight. No contradiction is found in their claim that Sebastian is a knight or Benjamin is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 1), ('telling-truth', 2)), ('or', ('lying', 3), ('lying', 4)), ('or', ('telling-truth', 0), ('lying', 4)), ('lying', 0), ('or', ('telling-truth', 2), ('lying', 2)))", "index": 213}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Luke, Olivia, Aria, Henry, and Amelia. \"Henry is a knight and Olivia is a knight,\" Luke claimed. \"Amelia is a knave if and only if Aria is a knave\" - Olivia. In Aria's words: \"Luke is a knave if and only if Henry is a knave\". Henry told you that If Luke is a knight then Aria is a knight. Amelia noted, \"Aria is a knight\". So who is a knight and who is a knave?", "names": ["Luke", "Olivia", "Aria", "Henry", "Amelia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, true], "solution_text": "Luke is a knight, Olivia is a knight, Aria is a knight, Henry is a knight, and Amelia is a knight.", "solution_text_format": "(1) Luke is a knight\n(2) Olivia is a knight\n(3) Aria is a knight\n(4) Henry is a knight\n(5) Amelia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Luke is a knight. No contradiction is found in their claim that Henry is a knight and Olivia is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that If Luke is a knight then Aria is a knight.", "Assume Aria is a knight. No contradiction is found in their claim that Luke is a knave if and only if Henry is a knave.", "Assume Olivia is a knight. No contradiction is found in their claim that Amelia is a knave if and only if Aria is a knave.", "Assume Amelia is a knight. No contradiction is found in their claim that Aria is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 3), ('telling-truth', 1)), ('<=>', ('lying', 4), ('lying', 2)), ('<=>', ('lying', 0), ('lying', 3)), ('->', ('telling-truth', 0), ('telling-truth', 2)), ('telling-truth', 2))", "index": 214}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Ethan, Mason, William, Joseph, and Amelia. As Ethan put it, \"If Joseph is a knave then Mason is a knave\". \"Ethan is a knight if and only if Ethan is a knave,\" Mason mentioned. \"Amelia is a knight if and only if William is a knight,\" William declared. \"William is not a knave,\" Joseph mentioned. In Amelia's words: \"Ethan is a knight and Joseph is a knave\". So who is a knight and who is a knave?", "names": ["Ethan", "Mason", "William", "Joseph", "Amelia"], "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": "Ethan is a knight, Mason is a knave, William is a knave, Joseph is a knave, and Amelia is a knight.", "solution_text_format": "(1) Ethan is a knight\n(2) Mason is a knave\n(3) William is a knave\n(4) Joseph is a knave\n(5) Amelia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ethan is a knight. No contradiction is found in their claim that If Joseph is a knave then Mason is a knave.", "Assume Joseph is a knight. No contradiction is found in their claim that William is not a knave.", "Assume William is a knight. No contradiction is found in their claim that Amelia is a knight if and only if William is a knight.", "Amelia cannot be a knight, because this would contradict the claim of their own that Ethan is a knight and Joseph is a knave.", "Amelia cannot be a knave, because this would contradict the claim of William that Amelia is a knight if and only if William is a knight.", "We have exhausted all possibilities for Amelia, so let us go back and reconsider William.", "William cannot be a knave, because this would contradict the claim of Joseph that William is not a knave.", "We have exhausted all possibilities for William, so let us go back and reconsider Joseph.", "Assume Joseph is a knave. No contradiction is found in their false claim that William is not a knave.", "William cannot be a knight, because this would contradict the false claim of Joseph that William is not a knave.", "Assume William is a knave. No contradiction is found in their false claim that Amelia is a knight if and only if William is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that Ethan is a knight and Joseph is a knave.", "Mason cannot be a knight, because this would contradict the claim of Ethan that If Joseph is a knave then Mason is a knave.", "Assume Mason is a knave. No contradiction is found in their false claim that Ethan is a knight if and only if Ethan is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 3), ('lying', 1)), ('<=>', ('telling-truth', 0), ('lying', 0)), ('<=>', ('telling-truth', 4), ('telling-truth', 2)), ('not', ('lying', 2)), ('and', ('telling-truth', 0), ('lying', 3)))", "index": 215}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Mason, Oliver, Henry, Lily, and Liam. As Mason put it, \"Lily is not a knave\". In Oliver's words: \"Lily is a knave or Liam is a knight\". Henry asserted: \"Liam is a knight and Mason is a knight\". In a statement by Lily: \"Oliver is a knave\". As Liam put it, \"Henry is a knave or Oliver is a knave\". So who is a knight and who is a knave?", "names": ["Mason", "Oliver", "Henry", "Lily", "Liam"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false, true], "solution_text": "Mason is a knave, Oliver is a knight, Henry is a knave, Lily is a knave, and Liam is a knight.", "solution_text_format": "(1) Mason is a knave\n(2) Oliver is a knight\n(3) Henry is a knave\n(4) Lily 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 Mason is a knight. No contradiction is found in their claim that Lily is not a knave.", "Assume Lily is a knight. No contradiction is found in their claim that Oliver is a knave.", "Oliver cannot be a knight, because this would contradict the claim of Lily that Oliver is a knave.", "Assume Oliver is a knave. No contradiction is found in their false claim that Lily is a knave or Liam is a knight.", "Liam cannot be a knight, because this would contradict the false claim of Oliver that Lily is a knave or Liam is a knight.", "Liam cannot be a knave, because this would contradict the false claim of their own that Henry is a knave or Oliver is a knave.", "We have exhausted all possibilities for Liam and Oliver, so let us go back and reconsider Lily.", "Lily cannot be a knave, because this would contradict the claim of Mason that Lily is not a knave.", "We have exhausted all possibilities for Lily, so let us go back and reconsider Mason.", "Assume Mason is a knave. No contradiction is found in their false claim that Lily is not a knave.", "Lily cannot be a knight, because this would contradict the false claim of Mason that Lily is not a knave.", "Assume Lily is a knave. No contradiction is found in their false claim that Oliver is a knave.", "Assume Oliver is a knight. No contradiction is found in their claim that Lily is a knave or Liam is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that Henry is a knave or Oliver is a knave.", "Henry cannot be a knight, because this would contradict the claim of their own that Liam is a knight and Mason is a knight.", "Assume Henry is a knave. No contradiction is found in their false claim that Liam is a knight and Mason is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 3)), ('or', ('lying', 3), ('telling-truth', 4)), ('and', ('telling-truth', 4), ('telling-truth', 0)), ('lying', 1), ('or', ('lying', 2), ('lying', 1)))", "index": 216}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aiden, Michael, Chloe, Alexander, and Noah. According to Aiden, \"Aiden is a knight or Alexander is a knave\". \"Aiden is a knight if and only if Chloe is a knight,\" Michael declared. Chloe said, \"Michael is a knight if and only if Noah is a knave.\" In a statement by Alexander: \"Chloe is a knight and Chloe is a knave\". According to Noah, \"Michael is a knave\". So who is a knight and who is a knave?", "names": ["Aiden", "Michael", "Chloe", "Alexander", "Noah"], "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": "Aiden is a knight, Michael is a knight, Chloe is a knight, Alexander is a knave, and Noah is a knave.", "solution_text_format": "(1) Aiden is a knight\n(2) Michael is a knight\n(3) Chloe is a knight\n(4) Alexander is a knave\n(5) Noah is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aiden is a knight. No contradiction is found in their claim that Aiden is a knight or Alexander is a knave.", "Alexander cannot be a knight, because this would contradict the claim of their own that Chloe is a knight and Chloe is a knave.", "Assume Alexander is a knave. No contradiction is found in their false claim that Chloe is a knight and Chloe is a knave.", "Assume Chloe is a knight. No contradiction is found in their claim that Michael is a knight if and only if Noah is a knave.", "Assume Michael is a knight. No contradiction is found in their claim that Aiden is a knight if and only if Chloe is a knight.", "Noah cannot be a knight, because this would contradict the claim of Chloe that Michael is a knight if and only if Noah is a knave.", "Assume Noah is a knave. No contradiction is found in their false claim that Michael is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 0), ('lying', 3)), ('<=>', ('telling-truth', 0), ('telling-truth', 2)), ('<=>', ('telling-truth', 1), ('lying', 4)), ('and', ('telling-truth', 2), ('lying', 2)), ('lying', 1))", "index": 217}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Samuel, Lily, Matthew, Isabella, and Charlotte. Samuel asserted: \"Matthew is not a knight\". In a statement by Lily: \"Matthew is a knight and Samuel is a knight\". Matthew told you that If Samuel is a knight then Isabella is a knight. Isabella was heard saying, \"If Charlotte is a knave then Matthew is a knave\". Charlotte said that Lily is a knave. So who is a knight and who is a knave?", "names": ["Samuel", "Lily", "Matthew", "Isabella", "Charlotte"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true, true], "solution_text": "Samuel is a knave, Lily is a knave, Matthew is a knight, Isabella is a knight, and Charlotte is a knight.", "solution_text_format": "(1) Samuel is a knave\n(2) Lily is a knave\n(3) Matthew is a knight\n(4) Isabella 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 Samuel is a knight. No contradiction is found in their claim that Matthew is not a knight.", "Matthew cannot be a knight, because this would contradict the claim of Samuel that Matthew is not a knight.", "Assume Matthew is a knave. No contradiction is found in their false claim that If Samuel is a knight then Isabella is a knight.", "Isabella cannot be a knight, because this would contradict the false claim of Matthew that If Samuel is a knight then Isabella is a knight.", "Isabella cannot be a knave, because this would contradict the false claim of their own that If Charlotte is a knave then Matthew is a knave.", "We have exhausted all possibilities for Isabella and Matthew, so let us go back and reconsider Samuel.", "Assume Samuel is a knave. No contradiction is found in their false claim that Matthew is not a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that If Samuel is a knight then Isabella is a knight.", "Assume Isabella is a knight. No contradiction is found in their claim that If Charlotte is a knave then Matthew is a knave.", "Assume Charlotte 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 their own that Matthew is a knight and Samuel is a knight.", "Assume Lily is a knave. No contradiction is found in their false claim that Matthew is a knight and Samuel is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 2)), ('and', ('telling-truth', 2), ('telling-truth', 0)), ('->', ('telling-truth', 0), ('telling-truth', 3)), ('->', ('lying', 4), ('lying', 2)), ('lying', 1))", "index": 218}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Joseph, Avery, Ella, Victoria, and Emily. \"If Emily is a knight then Ella is a knight,\" Joseph mentioned. As Avery put it, \"Ella is a knight and Emily is a knight\". As Ella put it, \"Avery is a knave if and only if Avery is a knight\". \"If Emily is a knight then Avery is a knave,\" Victoria claimed. In a statement by Emily: \"Avery is a knight\". So who is a knight and who is a knave?", "names": ["Joseph", "Avery", "Ella", "Victoria", "Emily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, false], "solution_text": "Joseph is a knight, Avery is a knave, Ella is a knave, Victoria is a knight, and Emily is a knave.", "solution_text_format": "(1) Joseph is a knight\n(2) Avery is a knave\n(3) Ella is a knave\n(4) Victoria 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 Joseph is a knight. No contradiction is found in their claim that If Emily is a knight then Ella is a knight.", "Assume Emily is a knight. No contradiction is found in their claim that Avery is a knight.", "Assume Avery is a knight. No contradiction is found in their claim that Ella is a knight and Emily is a knight.", "Ella cannot be a knight, because this would contradict the claim of their own that Avery is a knave if and only if Avery is a knight.", "Ella cannot be a knave, because this would contradict the claim of Joseph that If Emily is a knight then Ella is a knight.", "We have exhausted all possibilities for Ella, so let us go back and reconsider Avery.", "Avery cannot be a knave, because this would contradict the claim of Emily that Avery is a knight.", "We have exhausted all possibilities for Avery, so let us go back and reconsider Emily.", "Assume Emily is a knave. No contradiction is found in their false claim that Avery is a knight.", "Avery cannot be a knight, because this would contradict the claim of their own that Ella is a knight and Emily is a knight.", "Assume Avery is a knave. No contradiction is found in their false claim that Ella is a knight and Emily is a knight.", "Ella cannot be a knight, because this would contradict the claim of their own that Avery is a knave if and only if Avery is a knight.", "Assume Ella is a knave. No contradiction is found in their false claim that Avery is a knave if and only if Avery is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that If Emily is a knight then Avery is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 4), ('telling-truth', 2)), ('and', ('telling-truth', 2), ('telling-truth', 4)), ('<=>', ('lying', 1), ('telling-truth', 1)), ('->', ('telling-truth', 4), ('lying', 1)), ('telling-truth', 1))", "index": 219}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Grace, Sofia, Evelyn, Oliver, and Ethan. Grace said that Sofia is a knave. Sofia remarked, \"Ethan is a knight\". Evelyn asserted: \"Ethan is a knight\". Oliver noted, \"Sofia is a knight and Oliver is a knight\". \"Evelyn is a knave if and only if Oliver is a knave,\" Ethan declared. So who is a knight and who is a knave?", "names": ["Grace", "Sofia", "Evelyn", "Oliver", "Ethan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, true], "solution_text": "Grace is a knave, Sofia is a knight, Evelyn is a knight, Oliver is a knight, and Ethan is a knight.", "solution_text_format": "(1) Grace is a knave\n(2) Sofia is a knight\n(3) Evelyn is a knight\n(4) Oliver is a knight\n(5) Ethan is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Grace is a knight. No contradiction is found in their claim that Sofia is a knave.", "Sofia cannot be a knight, because this would contradict the claim of Grace that Sofia is a knave.", "Assume Sofia is a knave. No contradiction is found in their false claim that Ethan is a knight.", "Ethan cannot be a knight, because this would contradict the false claim of Sofia that Ethan is a knight.", "Assume Ethan is a knave. No contradiction is found in their false claim that Evelyn is a knave if and only if Oliver is a knave.", "Evelyn cannot be a knight, because this would contradict the claim of their own that Ethan is a knight.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Ethan is a knight.", "Oliver cannot be a knight, because this would contradict the claim of their own that Sofia is a knight and Oliver is a knight.", "Oliver cannot be a knave, because this would contradict the false claim of Ethan that Evelyn is a knave if and only if Oliver is a knave.", "We have exhausted all possibilities for Oliver, Evelyn, Ethan, and Sofia, so let us go back and reconsider Grace.", "Assume Grace is a knave. No contradiction is found in their false claim that Sofia is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that Ethan is a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that Evelyn is a knave if and only if Oliver is a knave.", "Assume Evelyn is a knight. No contradiction is found in their claim that Ethan is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that Sofia is a knight and Oliver is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('telling-truth', 4), ('telling-truth', 4), ('and', ('telling-truth', 1), ('telling-truth', 3)), ('<=>', ('lying', 2), ('lying', 3)))", "index": 220}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Michael, Jackson, Elizabeth, Penelope, and Olivia. \"Olivia is not a knight,\" Michael mentioned. \"Elizabeth is a knight or Olivia is a knight\" - Jackson. Elizabeth noted, \"Elizabeth is a knight and Jackson is a knave\". \"If Michael is a knave then Olivia is a knight,\" Penelope mentioned. \"Penelope is a knave or Penelope is a knight,\" Olivia claimed. So who is a knight and who is a knave?", "names": ["Michael", "Jackson", "Elizabeth", "Penelope", "Olivia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true, true], "solution_text": "Michael is a knave, Jackson is a knight, Elizabeth is a knave, Penelope is a knight, and Olivia is a knight.", "solution_text_format": "(1) Michael is a knave\n(2) Jackson is a knight\n(3) Elizabeth is a knave\n(4) Penelope 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 Michael is a knight. No contradiction is found in their claim that Olivia is not a knight.", "Olivia cannot be a knight, because this would contradict the claim of Michael that Olivia is not a knight.", "Olivia cannot be a knave, because this would contradict the false claim of their own that Penelope is a knave or Penelope is a knight.", "We have exhausted all possibilities for Olivia, so let us go back and reconsider Michael.", "Assume Michael is a knave. No contradiction is found in their false claim that Olivia is not a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that Penelope is a knave or Penelope is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that If Michael is a knave then Olivia is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that Elizabeth is a knight or Olivia is a knight.", "Elizabeth cannot be a knight, because this would contradict the claim of their own that Elizabeth is a knight and Jackson is a knave.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Elizabeth is a knight and Jackson is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 4)), ('or', ('telling-truth', 2), ('telling-truth', 4)), ('and', ('telling-truth', 2), ('lying', 1)), ('->', ('lying', 0), ('telling-truth', 4)), ('or', ('lying', 3), ('telling-truth', 3)))", "index": 221}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aurora, Noah, David, Aiden, and Charlotte. According to Aurora, \"Charlotte is a knave or Aiden is a knight\". As Noah put it, \"If David is a knave then Charlotte is a knave\". David expressed that If Aurora is a knave then Aiden is a knight. \"Aiden is a knight or Charlotte is a knight,\" Aiden declared. \"Aiden is a knave if and only if David is a knight,\" Charlotte claimed. So who is a knight and who is a knave?", "names": ["Aurora", "Noah", "David", "Aiden", "Charlotte"], "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": "Aurora is a knight, Noah is a knight, David is a knight, Aiden is a knight, and Charlotte is a knave.", "solution_text_format": "(1) Aurora is a knight\n(2) Noah is a knight\n(3) David is a knight\n(4) Aiden is a knight\n(5) 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 Aurora is a knight. No contradiction is found in their claim that Charlotte is a knave or Aiden is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that Aiden is a knave if and only if David is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that Aiden is a knight or Charlotte is a knight.", "David cannot be a knight, because this would contradict the claim of Charlotte that Aiden is a knave if and only if David is a knight.", "David cannot be a knave, because this would contradict the false claim of their own that If Aurora is a knave then Aiden is a knight.", "We have exhausted all possibilities for David, so let us go back and reconsider Aiden.", "Aiden cannot be a knave, because this would contradict the claim of Aurora that Charlotte is a knave or Aiden is a knight.", "We have exhausted all possibilities for Aiden, so let us go back and reconsider Charlotte.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Aiden is a knave if and only if David is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that Aiden is a knight or Charlotte is a knight.", "Assume David is a knight. No contradiction is found in their claim that If Aurora is a knave then Aiden is a knight.", "Assume Noah is a knight. No contradiction is found in their claim that If David is a knave then Charlotte is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 4), ('telling-truth', 3)), ('->', ('lying', 2), ('lying', 4)), ('->', ('lying', 0), ('telling-truth', 3)), ('or', ('telling-truth', 3), ('telling-truth', 4)), ('<=>', ('lying', 3), ('telling-truth', 2)))", "index": 222}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Sofia, Amelia, Liam, Harper, and Charlotte. In a statement by Sofia: \"Sofia is a knight if and only if Amelia is a knave\". As Amelia put it, \"Harper is a knight if and only if Liam is a knight\". In a statement by Liam: \"If Sofia is a knave then Sofia is a knight\". As Harper put it, \"Liam is a knight if and only if Charlotte is a knight\". Charlotte expressed that If Liam is a knight then Harper is a knight. So who is a knight and who is a knave?", "names": ["Sofia", "Amelia", "Liam", "Harper", "Charlotte"], "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": "Sofia is a knight, Amelia is a knave, Liam is a knight, Harper is a knave, and Charlotte is a knave.", "solution_text_format": "(1) Sofia is a knight\n(2) Amelia is a knave\n(3) Liam is a knight\n(4) Harper is a knave\n(5) Charlotte is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sofia is a knight. No contradiction is found in their claim that Sofia is a knight if and only if Amelia is a knave.", "Amelia cannot be a knight, because this would contradict the claim of Sofia that Sofia is a knight if and only if Amelia is a knave.", "Assume Amelia is a knave. No contradiction is found in their false claim that Harper is a knight if and only if Liam is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that Liam is a knight if and only if Charlotte is a knight.", "Liam cannot be a knight, because this would contradict the false claim of Amelia that Harper is a knight if and only if Liam is a knight.", "Liam cannot be a knave, because this would contradict the false claim of their own that If Sofia is a knave then Sofia is a knight.", "We have exhausted all possibilities for Liam, so let us go back and reconsider Harper.", "Assume Harper is a knave. No contradiction is found in their false claim that Liam is a knight if and only if Charlotte is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that If Sofia is a knave then Sofia is a knight.", "Charlotte cannot be a knight, because this would contradict the false claim of Harper that Liam is a knight if and only if Charlotte is a knight.", "Assume Charlotte is a knave. No contradiction is found in their false claim that If Liam is a knight then Harper is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 0), ('lying', 1)), ('<=>', ('telling-truth', 3), ('telling-truth', 2)), ('->', ('lying', 0), ('telling-truth', 0)), ('<=>', ('telling-truth', 2), ('telling-truth', 4)), ('->', ('telling-truth', 2), ('telling-truth', 3)))", "index": 223}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Lily, Logan, Luke, Noah, and Oliver. As Lily put it, \"Logan is a knave\". \"Lily is a knight if and only if Noah is a knave,\" Logan mentioned. As Luke put it, \"Logan is a knight if and only if Noah is a knave\". According to Noah, \"If Noah is a knight then Luke is a knight\". Oliver said that If Logan is a knave then Luke is a knight. So who is a knight and who is a knave?", "names": ["Lily", "Logan", "Luke", "Noah", "Oliver"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, true], "solution_text": "Lily is a knight, Logan is a knave, Luke is a knight, Noah is a knight, and Oliver is a knight.", "solution_text_format": "(1) Lily is a knight\n(2) Logan is a knave\n(3) Luke is a knight\n(4) Noah is a knight\n(5) Oliver is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Lily 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 Lily that Logan is a knave.", "Assume Logan is a knave. No contradiction is found in their false claim that Lily is a knight if and only if Noah is a knave.", "Assume Noah is a knight. No contradiction is found in their claim that If Noah is a knight then Luke is a knight.", "Assume Luke is a knight. No contradiction is found in their claim that Logan is a knight if and only if Noah is a knave.", "Assume Oliver is a knight. No contradiction is found in their claim that If Logan is a knave then Luke is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('<=>', ('telling-truth', 0), ('lying', 3)), ('<=>', ('telling-truth', 1), ('lying', 3)), ('->', ('telling-truth', 3), ('telling-truth', 2)), ('->', ('lying', 1), ('telling-truth', 2)))", "index": 224}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Grace, Elizabeth, Luke, Charlotte, and Emma. Grace remarked, \"If Emma is a knight then Emma is a knave\". In a statement by Elizabeth: \"Luke is a knave if and only if Emma is a knight\". Luke commented, \"Emma is not a knight\". Charlotte asserted: \"Charlotte is a knight and Elizabeth is a knave\". \"Charlotte is a knight,\" Emma mentioned. So who is a knight and who is a knave?", "names": ["Grace", "Elizabeth", "Luke", "Charlotte", "Emma"], "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": "Grace is a knight, Elizabeth is a knight, Luke is a knight, Charlotte is a knave, and Emma is a knave.", "solution_text_format": "(1) Grace is a knight\n(2) Elizabeth is a knight\n(3) Luke is a knight\n(4) Charlotte is a knave\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 Grace is a knight. No contradiction is found in their claim that If Emma is a knight then Emma is a knave.", "Emma cannot be a knight, because this would contradict the claim of Grace that If Emma is a knight then Emma is a knave.", "Assume Emma is a knave. No contradiction is found in their false claim that Charlotte is a knight.", "Charlotte cannot be a knight, because this would contradict the false claim of Emma that Charlotte is a knight.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Charlotte is a knight and Elizabeth is a knave.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Luke is a knave if and only if Emma is a knight.", "Assume Luke is a knight. No contradiction is found in their claim that Emma is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 4), ('lying', 4)), ('<=>', ('lying', 2), ('telling-truth', 4)), ('not', ('telling-truth', 4)), ('and', ('telling-truth', 3), ('lying', 1)), ('telling-truth', 3))", "index": 225}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aiden, Benjamin, Emily, David, and Owen. Aiden remarked, \"Owen is a knight if and only if David is a knight\". Benjamin noted, \"Emily is a knight if and only if Owen is a knight\". Emily remarked, \"Benjamin is not a knight\". David was heard saying, \"Owen is a knight\". \"Emily is a knight or Owen is a knight,\" Owen claimed. So who is a knight and who is a knave?", "names": ["Aiden", "Benjamin", "Emily", "David", "Owen"], "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": "Aiden is a knight, Benjamin is a knight, Emily is a knave, David is a knave, and Owen is a knave.", "solution_text_format": "(1) Aiden is a knight\n(2) Benjamin is a knight\n(3) Emily is a knave\n(4) David 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 Aiden is a knight. No contradiction is found in their claim that Owen is a knight if and only if David is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that Emily is a knight or Owen is a knight.", "Assume Emily is a knight. No contradiction is found in their claim that Benjamin is not a knight.", "Benjamin cannot be a knight, because this would contradict the claim of Emily that Benjamin is not a knight.", "Benjamin cannot be a knave, because this would contradict the false claim of their own that Emily is a knight if and only if Owen is a knight.", "We have exhausted all possibilities for Benjamin, so let us go back and reconsider Emily.", "Assume Emily is a knave. No contradiction is found in their false claim that Benjamin is not a knight.", "Benjamin cannot be a knight, because this would contradict the claim of their own that Emily is a knight if and only if Owen is a knight.", "Benjamin cannot be a knave, because this would contradict the false claim of Emily that Benjamin is not a knight.", "We have exhausted all possibilities for Benjamin and Emily, so let us go back and reconsider Owen.", "Assume Owen is a knave. No contradiction is found in their false claim that Emily is a knight or Owen is a knight.", "Emily cannot be a knight, because this would contradict the false claim of Owen that Emily is a knight or Owen is a knight.", "Assume Emily is a knave. No contradiction is found in their false claim that Benjamin is not a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that Emily is a knight if and only if Owen is a knight.", "David cannot be a knight, because this would contradict the claim of Aiden that Owen 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 Owen is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 4), ('telling-truth', 3)), ('<=>', ('telling-truth', 2), ('telling-truth', 4)), ('not', ('telling-truth', 1)), ('telling-truth', 4), ('or', ('telling-truth', 2), ('telling-truth', 4)))", "index": 226}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Logan, Isabella, Luke, Ethan, and Sophia. Logan noted, \"Isabella is a knight and Luke is a knave\". Isabella remarked, \"Luke is a knave\". As Luke put it, \"If Luke is a knight then Ethan is a knight\". \"Luke is a knight and Sophia is a knight,\" Ethan claimed. Sophia noted, \"Isabella is not a knight\". So who is a knight and who is a knave?", "names": ["Logan", "Isabella", "Luke", "Ethan", "Sophia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true, true], "solution_text": "Logan is a knave, Isabella is a knave, Luke is a knight, Ethan is a knight, and Sophia is a knight.", "solution_text_format": "(1) Logan is a knave\n(2) Isabella is a knave\n(3) Luke is a knight\n(4) Ethan is a knight\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 Logan is a knight. No contradiction is found in their claim that Isabella is a knight and Luke is a knave.", "Assume Isabella 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 Logan that Isabella is a knight and Luke is a knave.", "Luke cannot be a knave, because this would contradict the false claim of their own that If Luke is a knight then Ethan is a knight.", "We have exhausted all possibilities for Luke, so let us go back and reconsider Isabella.", "Isabella cannot be a knave, because this would contradict the claim of Logan that Isabella is a knight and Luke is a knave.", "We have exhausted all possibilities for Isabella, so let us go back and reconsider Logan.", "Assume Logan is a knave. No contradiction is found in their false claim that Isabella is a knight and Luke is a knave.", "Assume Isabella 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 Isabella that Luke is a knave.", "Luke cannot be a knave, because this would contradict the false claim of Logan that Isabella is a knight and Luke is a knave.", "We have exhausted all possibilities for Luke, so let us go back and reconsider Isabella.", "Assume Isabella is a knave. No contradiction is found in their false claim that Luke is a knave.", "Assume Luke is a knight. No contradiction is found in their claim that If Luke is a knight then Ethan is a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that Luke is a knight and Sophia is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that Isabella is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('lying', 2)), ('lying', 2), ('->', ('telling-truth', 2), ('telling-truth', 3)), ('and', ('telling-truth', 2), ('telling-truth', 4)), ('not', ('telling-truth', 1)))", "index": 227}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Evelyn, Joseph, Sofia, Luke, and James. Evelyn remarked, \"Joseph is a knave or Evelyn is a knight\". Joseph commented, \"If Luke is a knave then James is a knight\". \"Sofia is a knight or Luke is a knight,\" Sofia declared. Luke asserted: \"Evelyn is a knave and Sofia is a knave\". James was heard saying, \"If Evelyn is a knight then Joseph is a knave\". So who is a knight and who is a knave?", "names": ["Evelyn", "Joseph", "Sofia", "Luke", "James"], "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": "Evelyn is a knave, Joseph is a knight, Sofia is a knight, Luke is a knave, and James is a knight.", "solution_text_format": "(1) Evelyn is a knave\n(2) Joseph is a knight\n(3) Sofia is a knight\n(4) Luke is a knave\n(5) James is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Evelyn is a knight. No contradiction is found in their claim that Joseph is a knave or Evelyn is a knight.", "Assume Joseph is a knight. No contradiction is found in their claim that If Luke is a knave then James is a knight.", "Luke cannot be a knight, because this would contradict the claim of their own that Evelyn is a knave and Sofia is a knave.", "Assume Luke is a knave. No contradiction is found in their false claim that Evelyn is a knave and Sofia is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that Sofia is a knight or Luke is a knight.", "James cannot be a knight, because this would contradict the claim of their own that If Evelyn is a knight then Joseph is a knave.", "James cannot be a knave, because this would contradict the claim of Joseph that If Luke is a knave then James is a knight.", "We have exhausted all possibilities for James, so let us go back and reconsider Sofia.", "Assume Sofia is a knave. No contradiction is found in their false claim that Sofia is a knight or Luke is a knight.", "James cannot be a knight, because this would contradict the claim of their own that If Evelyn is a knight then Joseph is a knave.", "James cannot be a knave, because this would contradict the claim of Joseph that If Luke is a knave then James is a knight.", "We have exhausted all possibilities for James, Sofia, and Luke, so let us go back and reconsider Joseph.", "Assume Joseph is a knave. No contradiction is found in their false claim that If Luke is a knave then James is a knight.", "Luke cannot be a knight, because this would contradict the false claim of Joseph that If Luke is a knave then James is a knight.", "Assume Luke is a knave. No contradiction is found in their false claim that Evelyn is a knave and Sofia is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that Sofia is a knight or Luke is a knight.", "James cannot be a knight, because this would contradict the false claim of Joseph that If Luke is a knave then James is a knight.", "James cannot be a knave, because this would contradict the false claim of their own that If Evelyn is a knight then Joseph is a knave.", "We have exhausted all possibilities for James, so let us go back and reconsider Sofia.", "Assume Sofia is a knave. No contradiction is found in their false claim that Sofia is a knight or Luke is a knight.", "James cannot be a knight, because this would contradict the false claim of Joseph that If Luke is a knave then James is a knight.", "James cannot be a knave, because this would contradict the false claim of their own that If Evelyn is a knight then Joseph is a knave.", "We have exhausted all possibilities for James, Sofia, Luke, and Joseph, so let us go back and reconsider Evelyn.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Joseph is a knave or Evelyn is a knight.", "Assume Joseph is a knight. No contradiction is found in their claim that If Luke is a knave then James is a knight.", "Assume Luke is a knight. No contradiction is found in their claim that Evelyn is a knave and Sofia is a knave.", "Sofia cannot be a knight, because this would contradict the claim of Luke that Evelyn is a knave and Sofia is a knave.", "Sofia cannot be a knave, because this would contradict the false claim of their own that Sofia is a knight or Luke is a knight.", "We have exhausted all possibilities for Sofia, so let us go back and reconsider Luke.", "Assume Luke is a knave. No contradiction is found in their false claim that Evelyn is a knave and Sofia is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that Sofia is a knight or Luke is a knight.", "Assume James is a knight. No contradiction is found in their claim that If Evelyn is a knight then Joseph is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('telling-truth', 0)), ('->', ('lying', 3), ('telling-truth', 4)), ('or', ('telling-truth', 2), ('telling-truth', 3)), ('and', ('lying', 0), ('lying', 2)), ('->', ('telling-truth', 0), ('lying', 1)))", "index": 228}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Lily, Riley, William, Aria, and David. \"Riley is not a knight,\" Lily mentioned. In Riley's words: \"David is a knight\". William was heard saying, \"Lily is a knight\". In Aria's words: \"Lily is a knight if and only if William is a knight\". David said that Aria is not a knave. So who is a knight and who is a knave?", "names": ["Lily", "Riley", "William", "Aria", "David"], "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": "Lily is a knave, Riley is a knight, William is a knave, Aria is a knight, and David is a knight.", "solution_text_format": "(1) Lily is a knave\n(2) Riley is a knight\n(3) William is a knave\n(4) Aria is a knight\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 Lily is a knight. No contradiction is found in their claim that Riley is not a knight.", "Riley cannot be a knight, because this would contradict the claim of Lily that Riley is not a knight.", "Assume Riley is a knave. No contradiction is found in their false claim that David is a knight.", "David cannot be a knight, because this would contradict the false claim of Riley that David is a knight.", "Assume David is a knave. No contradiction is found in their false claim that Aria is not a knave.", "Aria cannot be a knight, because this would contradict the false claim of David that Aria is not a knave.", "Assume Aria is a knave. No contradiction is found in their false claim that Lily is a knight if and only if William is a knight.", "William cannot be a knight, because this would contradict the false claim of Aria that Lily is a knight if and only if William is a knight.", "William cannot be a knave, because this would contradict the false claim of their own that Lily is a knight.", "We have exhausted all possibilities for William, Aria, David, and Riley, so let us go back and reconsider Lily.", "Assume Lily is a knave. No contradiction is found in their false claim that Riley is not a knight.", "Assume Riley is a knight. No contradiction is found in their claim that David is a knight.", "Assume David is a knight. No contradiction is found in their claim that Aria is not a knave.", "Assume Aria is a knight. No contradiction is found in their claim that Lily is a knight if and only if William is a knight.", "William cannot be a knight, because this would contradict the claim of their own that Lily is a knight.", "Assume William is a knave. No contradiction is found in their false claim that Lily is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('telling-truth', 4), ('telling-truth', 0), ('<=>', ('telling-truth', 0), ('telling-truth', 2)), ('not', ('lying', 3)))", "index": 229}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Jacob, Mason, Lucas, Benjamin, and Sebastian. \"Lucas is a knight if and only if Sebastian is a knave\" - Jacob. Mason asserted: \"Mason is a knight or Jacob is a knave\". According to Lucas, \"Sebastian is a knave and Jacob is a knave\". Benjamin commented, \"Sebastian is not a knight\". Sebastian said that Mason is a knight if and only if Jacob is a knight. So who is a knight and who is a knave?", "names": ["Jacob", "Mason", "Lucas", "Benjamin", "Sebastian"], "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, Mason is a knight, Lucas is a knave, Benjamin is a knave, and Sebastian is a knight.", "solution_text_format": "(1) Jacob is a knight\n(2) Mason is a knight\n(3) Lucas is a knave\n(4) Benjamin is a knave\n(5) Sebastian is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jacob is a knight. No contradiction is found in their claim that Lucas is a knight if and only if Sebastian is a knave.", "Lucas cannot be a knight, because this would contradict the claim of their own that Sebastian is a knave and Jacob is a knave.", "Assume Lucas is a knave. No contradiction is found in their false claim that Sebastian is a knave and Jacob is a knave.", "Assume Sebastian is a knight. No contradiction is found in their claim that Mason is a knight if and only if Jacob is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that Mason is a knight or Jacob is a knave.", "Benjamin cannot be a knight, because this would contradict the claim of their own that Sebastian is not a knight.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Sebastian is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 2), ('lying', 4)), ('or', ('telling-truth', 1), ('lying', 0)), ('and', ('lying', 4), ('lying', 0)), ('not', ('telling-truth', 4)), ('<=>', ('telling-truth', 1), ('telling-truth', 0)))", "index": 230}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Mia, Samuel, Amelia, Sofia, and Henry. Mia noted, \"Samuel is a knave if and only if Sofia is a knave\". As Samuel put it, \"Amelia is a knight or Amelia is a knave\". In a statement by Amelia: \"Henry is a knave\". Sofia noted, \"Amelia is a knave and Samuel is a knight\". Henry noted, \"Sofia is a knight and Mia is a knave\". So who is a knight and who is a knave?", "names": ["Mia", "Samuel", "Amelia", "Sofia", "Henry"], "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": "Mia is a knave, Samuel is a knight, Amelia is a knight, Sofia is a knave, and Henry is a knave.", "solution_text_format": "(1) Mia is a knave\n(2) Samuel is a knight\n(3) Amelia is a knight\n(4) Sofia is a knave\n(5) Henry is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Mia is a knight. No contradiction is found in their claim that Samuel is a knave if and only if Sofia is a knave.", "Assume Samuel is a knight. No contradiction is found in their claim that Amelia is a knight or Amelia is a knave.", "Assume Amelia is a knight. No contradiction is found in their claim that Henry is a knave.", "Henry cannot be a knight, because this would contradict the claim of Amelia that Henry is a knave.", "Assume Henry is a knave. No contradiction is found in their false claim that Sofia is a knight and Mia is a knave.", "Sofia cannot be a knight, because this would contradict the claim of their own that Amelia is a knave and Samuel is a knight.", "Sofia cannot be a knave, because this would contradict the claim of Mia that Samuel is a knave if and only if Sofia is a knave.", "We have exhausted all possibilities for Sofia and Henry, so let us go back and reconsider Amelia.", "Assume Amelia is a knave. No contradiction is found in their false claim that Henry is a knave.", "Henry cannot be a knight, because this would contradict the claim of their own that Sofia is a knight and Mia is a knave.", "Henry cannot be a knave, because this would contradict the false claim of Amelia that Henry is a knave.", "We have exhausted all possibilities for Henry and Amelia, so let us go back and reconsider Samuel.", "Samuel cannot be a knave, because this would contradict the false claim of their own that Amelia is a knight or Amelia is a knave.", "We have exhausted all possibilities for Samuel, so let us go back and reconsider Mia.", "Assume Mia is a knave. No contradiction is found in their false claim that Samuel is a knave if and only if Sofia is a knave.", "Assume Samuel is a knight. No contradiction is found in their claim that Amelia is a knight or Amelia is a knave.", "Assume Amelia is a knight. No contradiction is found in their claim that Henry is a knave.", "Henry cannot be a knight, because this would contradict the claim of Amelia that Henry is a knave.", "Assume Henry is a knave. No contradiction is found in their false claim that Sofia is a knight and Mia is a knave.", "Sofia cannot be a knight, because this would contradict the false claim of Mia that Samuel is a knave if and only if Sofia is a knave.", "Assume Sofia is a knave. No contradiction is found in their false claim that Amelia is a knave and Samuel is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('lying', 3)), ('or', ('telling-truth', 2), ('lying', 2)), ('lying', 4), ('and', ('lying', 2), ('telling-truth', 1)), ('and', ('telling-truth', 3), ('lying', 0)))", "index": 231}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aurora, Daniel, Benjamin, Isabella, and Aiden. \"Aiden is not a knave,\" Aurora claimed. Daniel was heard saying, \"Isabella is a knave if and only if Isabella is a knight\". According to Benjamin, \"If Aiden is a knight then Daniel is a knight\". Isabella expressed that If Daniel is a knave then Benjamin is a knight. Aiden noted, \"Daniel is a knave if and only if Daniel is a knight\". So who is a knight and who is a knave?", "names": ["Aurora", "Daniel", "Benjamin", "Isabella", "Aiden"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true, false], "solution_text": "Aurora is a knave, Daniel is a knave, Benjamin is a knight, Isabella is a knight, and Aiden is a knave.", "solution_text_format": "(1) Aurora is a knave\n(2) Daniel is a knave\n(3) Benjamin is a knight\n(4) Isabella 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 Aurora is a knight. No contradiction is found in their claim that Aiden is not a knave.", "Aiden cannot be a knight, because this would contradict the claim of their own that Daniel is a knave if and only if Daniel is a knight.", "Aiden cannot be a knave, because this would contradict the claim of Aurora that Aiden is not a knave.", "We have exhausted all possibilities for Aiden, so let us go back and reconsider Aurora.", "Assume Aurora is a knave. No contradiction is found in their false claim that Aiden is not a knave.", "Aiden cannot be a knight, because this would contradict the false claim of Aurora that Aiden is not a knave.", "Assume Aiden is a knave. No contradiction is found in their false claim that Daniel is a knave if and only if Daniel is a knight.", "Daniel 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 Daniel is a knave. No contradiction is found in their false claim that Isabella is a knave if and only if Isabella is a knight.", "Assume Isabella is a knight. No contradiction is found in their claim that If Daniel is a knave then Benjamin is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that If Aiden is a knight then Daniel is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 4)), ('<=>', ('lying', 3), ('telling-truth', 3)), ('->', ('telling-truth', 4), ('telling-truth', 1)), ('->', ('lying', 1), ('telling-truth', 2)), ('<=>', ('lying', 1), ('telling-truth', 1)))", "index": 232}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Emma, Logan, Luke, Scarlett, and Lucas. \"Lucas is a knave and Scarlett is a knave,\" Emma claimed. As Logan put it, \"Emma is a knight if and only if Emma is a knave\". \"Logan is a knave if and only if Scarlett is a knight\" - Luke. Scarlett was heard saying, \"If Emma is a knight then Logan is a knight\". As Lucas put it, \"Emma is a knight and Scarlett is a knave\". So who is a knight and who is a knave?", "names": ["Emma", "Logan", "Luke", "Scarlett", "Lucas"], "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": "Emma is a knave, Logan is a knave, Luke is a knight, Scarlett is a knight, and Lucas is a knave.", "solution_text_format": "(1) Emma is a knave\n(2) Logan is a knave\n(3) Luke is a knight\n(4) Scarlett 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 Lucas is a knave and Scarlett is a knave.", "Lucas cannot be a knight, because this would contradict the claim of Emma that Lucas is a knave and Scarlett is a knave.", "Assume Lucas is a knave. No contradiction is found in their false claim that Emma is a knight and Scarlett is a knave.", "Scarlett cannot be a knight, because this would contradict the claim of Emma that Lucas is a knave and Scarlett is a knave.", "Scarlett cannot be a knave, because this would contradict the false claim of Lucas that Emma is a knight and Scarlett is a knave.", "We have exhausted all possibilities for Scarlett and Lucas, so let us go back and reconsider Emma.", "Assume Emma is a knave. No contradiction is found in their false claim that Lucas is a knave and Scarlett is a knave.", "Lucas cannot be a knight, because this would contradict the claim of their own that Emma is a knight and Scarlett is a knave.", "Assume Lucas is a knave. No contradiction is found in their false claim that Emma is a knight and Scarlett is a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that If Emma is a knight then Logan is a knight.", "Logan cannot be a knight, because this would contradict the claim of their own that Emma is a knight if and only if Emma is a knave.", "Assume Logan is a knave. No contradiction is found in their false claim that Emma is a knight if and only if Emma is a knave.", "Assume Luke is a knight. No contradiction is found in their claim that Logan is a knave if and only if Scarlett is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 4), ('lying', 3)), ('<=>', ('telling-truth', 0), ('lying', 0)), ('<=>', ('lying', 1), ('telling-truth', 3)), ('->', ('telling-truth', 0), ('telling-truth', 1)), ('and', ('telling-truth', 0), ('lying', 3)))", "index": 233}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Michael, Ella, Elizabeth, Jack, and Abigail. Michael noted, \"Elizabeth is not a knave\". In Ella's words: \"Jack is a knight if and only if Ella is a knight\". Elizabeth stated, \"Elizabeth is a knight or Jack is a knight\". Jack noted, \"Ella is not a knave\". In Abigail's words: \"Michael is a knight\". So who is a knight and who is a knave?", "names": ["Michael", "Ella", "Elizabeth", "Jack", "Abigail"], "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": "Michael is a knight, Ella is a knight, Elizabeth is a knight, Jack is a knight, and Abigail is a knight.", "solution_text_format": "(1) Michael is a knight\n(2) Ella is a knight\n(3) Elizabeth is a knight\n(4) Jack is a knight\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 Michael is a knight. No contradiction is found in their claim that Elizabeth is not a knave.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Elizabeth is a knight or Jack is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that Ella is not a knave.", "Assume Ella is a knight. No contradiction is found in their claim that Jack is a knight if and only if Ella is a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that Michael is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 2)), ('<=>', ('telling-truth', 3), ('telling-truth', 1)), ('or', ('telling-truth', 2), ('telling-truth', 3)), ('not', ('lying', 1)), ('telling-truth', 0))", "index": 234}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: William, David, Zoey, Ava, and Sophia. William noted, \"Sophia is a knave and Sophia is a knight\". \"Zoey is a knight\" - David. Zoey stated, \"Sophia is a knight if and only if Ava is a knight\". Ava stated, \"David is a knave or Zoey is a knight\". Sophia was heard saying, \"If Ava is a knight then Ava is a knave\". So who is a knight and who is a knave?", "names": ["William", "David", "Zoey", "Ava", "Sophia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true, false], "solution_text": "William is a knave, David is a knave, Zoey is a knave, Ava is a knight, and Sophia is a knave.", "solution_text_format": "(1) William is a knave\n(2) David is a knave\n(3) Zoey is a knave\n(4) Ava is a knight\n(5) 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": ["William cannot be a knight, because this would contradict the claim of their own that Sophia is a knave and Sophia is a knight.", "Assume William is a knave. No contradiction is found in their false claim that Sophia is a knave and Sophia is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that If Ava is a knight then Ava is a knave.", "Ava cannot be a knight, because this would contradict the claim of Sophia that If Ava is a knight then Ava is a knave.", "Assume Ava is a knave. No contradiction is found in their false claim that David is a knave or Zoey is a knight.", "Assume David is a knight. No contradiction is found in their claim that Zoey is a knight.", "Zoey cannot be a knight, because this would contradict the claim of their own that Sophia is a knight if and only if Ava is a knight.", "Zoey cannot be a knave, because this would contradict the claim of David that Zoey is a knight.", "We have exhausted all possibilities for Zoey, so let us go back and reconsider David.", "David cannot be a knave, because this would contradict the false claim of Ava that David is a knave or Zoey is a knight.", "We have exhausted all possibilities for David and Ava, so let us go back and reconsider Sophia.", "Assume Sophia is a knave. No contradiction is found in their false claim that If Ava is a knight then Ava is a knave.", "Assume Ava is a knight. No contradiction is found in their claim that David is a knave or Zoey is a knight.", "Assume David is a knight. No contradiction is found in their claim that Zoey is a knight.", "Zoey cannot be a knight, because this would contradict the claim of their own that Sophia is a knight if and only if Ava is a knight.", "Zoey cannot be a knave, because this would contradict the claim of David that Zoey is a knight.", "We have exhausted all possibilities for Zoey, so let us go back and reconsider David.", "Assume David is a knave. No contradiction is found in their false claim that Zoey is a knight.", "Zoey cannot be a knight, because this would contradict the false claim of David that Zoey is a knight.", "Assume Zoey is a knave. No contradiction is found in their false claim that Sophia is a knight if and only if Ava is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 4), ('telling-truth', 4)), ('telling-truth', 2), ('<=>', ('telling-truth', 4), ('telling-truth', 3)), ('or', ('lying', 1), ('telling-truth', 2)), ('->', ('telling-truth', 3), ('lying', 3)))", "index": 235}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Olivia, Ava, Benjamin, Joseph, and Scarlett. Olivia stated, \"Benjamin is a knight or Olivia is a knight\". Ava remarked, \"If Scarlett is a knave then Ava is a knight\". Benjamin said that If Joseph is a knight then Scarlett is a knight. Joseph expressed that Ava is a knight if and only if Olivia is a knave. Scarlett was heard saying, \"Olivia is a knight if and only if Ava is a knave\". So who is a knight and who is a knave?", "names": ["Olivia", "Ava", "Benjamin", "Joseph", "Scarlett"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false, false], "solution_text": "Olivia is a knight, Ava is a knight, Benjamin is a knight, Joseph is a knave, and Scarlett is a knave.", "solution_text_format": "(1) Olivia is a knight\n(2) Ava is a knight\n(3) Benjamin is a knight\n(4) Joseph 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 Olivia is a knight. No contradiction is found in their claim that Benjamin is a knight or Olivia is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that If Joseph is a knight then Scarlett is a knight.", "Assume Joseph is a knight. No contradiction is found in their claim that Ava is a knight if and only if Olivia is a knave.", "Ava cannot be a knight, because this would contradict the claim of Joseph that Ava is a knight if and only if Olivia is a knave.", "Assume Ava is a knave. No contradiction is found in their false claim that If Scarlett is a knave then Ava is a knight.", "Scarlett cannot be a knight, because this would contradict the false claim of Ava that If Scarlett is a knave then Ava is a knight.", "Scarlett cannot be a knave, because this would contradict the claim of Benjamin that If Joseph is a knight then Scarlett is a knight.", "We have exhausted all possibilities for Scarlett and Ava, so let us go back and reconsider Joseph.", "Assume Joseph is a knave. No contradiction is found in their false claim that Ava is a knight if and only if Olivia is a knave.", "Assume Ava is a knight. No contradiction is found in their claim that If Scarlett is a knave then Ava is a knight.", "Scarlett cannot be a knight, because this would contradict the claim of their own that Olivia is a knight if and only if Ava is a knave.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Olivia is a knight if and only if Ava is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 2), ('telling-truth', 0)), ('->', ('lying', 4), ('telling-truth', 1)), ('->', ('telling-truth', 3), ('telling-truth', 4)), ('<=>', ('telling-truth', 1), ('lying', 0)), ('<=>', ('telling-truth', 0), ('lying', 1)))", "index": 236}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aiden, David, Penelope, Sophia, and Scarlett. Aiden expressed that Penelope is a knave and Scarlett is a knave. David said that If Scarlett is a knave then David is a knight. According to Penelope, \"If Scarlett is a knight then Aiden is a knave\". According to Sophia, \"Penelope is a knave and Sophia is a knight\". Scarlett noted, \"If David is a knight then David is a knave\". So who is a knight and who is a knave?", "names": ["Aiden", "David", "Penelope", "Sophia", "Scarlett"], "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": "Aiden is a knave, David is a knight, Penelope is a knight, Sophia is a knave, and Scarlett is a knave.", "solution_text_format": "(1) Aiden is a knave\n(2) David is a knight\n(3) Penelope is a knight\n(4) Sophia 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 Aiden is a knight. No contradiction is found in their claim that Penelope is a knave and Scarlett is a knave.", "Penelope cannot be a knight, because this would contradict the claim of Aiden that Penelope is a knave and Scarlett is a knave.", "Assume Penelope is a knave. No contradiction is found in their false claim that If Scarlett is a knight then Aiden is a knave.", "Scarlett cannot be a knight, because this would contradict the claim of Aiden that Penelope is a knave and Scarlett is a knave.", "Scarlett cannot be a knave, because this would contradict the false claim of Penelope that If Scarlett is a knight then Aiden is a knave.", "We have exhausted all possibilities for Scarlett and Penelope, so let us go back and reconsider Aiden.", "Assume Aiden is a knave. No contradiction is found in their false claim that Penelope is a knave and Scarlett is a knave.", "Assume Penelope is a knight. No contradiction is found in their claim that If Scarlett is a knight then Aiden is a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that If David is a knight then David is a knave.", "David cannot be a knight, because this would contradict the claim of Scarlett that If David is a knight then David is a knave.", "David cannot be a knave, because this would contradict the false claim of their own that If Scarlett is a knave then David is a knight.", "We have exhausted all possibilities for David, so let us go back and reconsider Scarlett.", "Assume Scarlett is a knave. No contradiction is found in their false claim that If David is a knight then David is a knave.", "Assume David is a knight. No contradiction is found in their claim that If Scarlett is a knave then David is a knight.", "Sophia cannot be a knight, because this would contradict the claim of their own that Penelope is a knave and Sophia is a knight.", "Assume Sophia is a knave. No contradiction is found in their false claim that Penelope is a knave and Sophia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('lying', 4)), ('->', ('lying', 4), ('telling-truth', 1)), ('->', ('telling-truth', 4), ('lying', 0)), ('and', ('lying', 2), ('telling-truth', 3)), ('->', ('telling-truth', 1), ('lying', 1)))", "index": 237}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Mason, Joseph, Emma, Jackson, and Alexander. Mason stated, \"Jackson is a knight if and only if Alexander is a knight\". \"Emma is a knight and Mason is a knave\" - Joseph. Emma was heard saying, \"Alexander is not a knight\". \"Alexander is a knight if and only if Joseph is a knight,\" Jackson claimed. Alexander said that Mason is a knave. So who is a knight and who is a knave?", "names": ["Mason", "Joseph", "Emma", "Jackson", "Alexander"], "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": "Mason is a knave, Joseph is a knave, Emma is a knave, Jackson is a knave, and Alexander is a knight.", "solution_text_format": "(1) Mason is a knave\n(2) Joseph is a knave\n(3) Emma is a knave\n(4) Jackson is a knave\n(5) 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 Mason is a knight. No contradiction is found in their claim that Jackson is a knight if and only if Alexander is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that Alexander is a knight if and only if Joseph is a knight.", "Alexander cannot be a knight, because this would contradict the claim of their own that Mason is a knave.", "Alexander cannot be a knave, because this would contradict the claim of Mason that Jackson is a knight if and only if Alexander is a knight.", "We have exhausted all possibilities for Alexander, so let us go back and reconsider Jackson.", "Assume Jackson is a knave. No contradiction is found in their false claim that Alexander is a knight if and only if Joseph is a knight.", "Alexander cannot be a knight, because this would contradict the claim of Mason that Jackson is a knight if and only if Alexander is a knight.", "Assume Alexander is a knave. No contradiction is found in their false claim that Mason is a knave.", "Joseph cannot be a knight, because this would contradict the claim of their own that Emma is a knight and Mason is a knave.", "Joseph cannot be a knave, because this would contradict the false claim of Jackson that Alexander is a knight if and only if Joseph is a knight.", "We have exhausted all possibilities for Joseph, Alexander, and Jackson, so let us go back and reconsider Mason.", "Assume Mason is a knave. No contradiction is found in their false claim that Jackson is a knight if and only if Alexander is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that Alexander is a knight if and only if Joseph is a knight.", "Alexander cannot be a knight, because this would contradict the false claim of Mason that Jackson is a knight if and only if Alexander is a knight.", "Alexander cannot be a knave, because this would contradict the false claim of their own that Mason is a knave.", "We have exhausted all possibilities for Alexander, so let us go back and reconsider Jackson.", "Assume Jackson is a knave. No contradiction is found in their false claim that Alexander is a knight if and only if Joseph is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that Mason is a knave.", "Joseph cannot be a knight, because this would contradict the false claim of Jackson that Alexander is a knight if and only if Joseph is a knight.", "Assume Joseph is a knave. No contradiction is found in their false claim that Emma is a knight and Mason is a knave.", "Emma cannot be a knight, because this would contradict the false claim of Joseph that Emma is a knight and Mason is a knave.", "Assume Emma is a knave. No contradiction is found in their false claim that Alexander is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 3), ('telling-truth', 4)), ('and', ('telling-truth', 2), ('lying', 0)), ('not', ('telling-truth', 4)), ('<=>', ('telling-truth', 4), ('telling-truth', 1)), ('lying', 0))", "index": 238}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Daniel, Abigail, Joseph, Amelia, and Ethan. Daniel noted, \"Joseph is not a knight\". \"Amelia is a knight and Abigail is a knight\" - Abigail. Joseph remarked, \"Amelia is a knave if and only if Abigail is a knight\". Amelia stated, \"Joseph is a knave and Daniel is a knave\". In Ethan's words: \"Amelia is a knight if and only if Daniel is a knave\". So who is a knight and who is a knave?", "names": ["Daniel", "Abigail", "Joseph", "Amelia", "Ethan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false, true], "solution_text": "Daniel is a knight, Abigail is a knave, Joseph is a knave, Amelia is a knave, and Ethan is a knight.", "solution_text_format": "(1) Daniel is a knight\n(2) Abigail is a knave\n(3) Joseph is a knave\n(4) Amelia is a knave\n(5) 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 Daniel is a knight. No contradiction is found in their claim that Joseph is not a knight.", "Joseph cannot be a knight, because this would contradict the claim of Daniel that Joseph is not a knight.", "Assume Joseph is a knave. No contradiction is found in their false claim that Amelia is a knave if and only if Abigail is a knight.", "Amelia cannot be a knight, because this would contradict the claim of their own that Joseph is a knave and Daniel is a knave.", "Assume Amelia is a knave. No contradiction is found in their false claim that Joseph is a knave and Daniel is a knave.", "Abigail cannot be a knight, because this would contradict the claim of their own that Amelia is a knight and Abigail is a knight.", "Assume Abigail is a knave. No contradiction is found in their false claim that Amelia is a knight and Abigail is a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that Amelia is a knight if and only if Daniel is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 2)), ('and', ('telling-truth', 3), ('telling-truth', 1)), ('<=>', ('lying', 3), ('telling-truth', 1)), ('and', ('lying', 2), ('lying', 0)), ('<=>', ('telling-truth', 3), ('lying', 0)))", "index": 239}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Matthew, Ava, Benjamin, Lucas, and Luke. According to Matthew, \"Ava is a knight if and only if Lucas is a knight\". \"Benjamin is a knight\" - Ava. Benjamin was heard saying, \"Ava is a knight or Matthew is a knight\". In Lucas's words: \"Benjamin is a knight or Matthew is a knight\". Luke asserted: \"Benjamin is a knave if and only if Ava is a knight\". So who is a knight and who is a knave?", "names": ["Matthew", "Ava", "Benjamin", "Lucas", "Luke"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, false], "solution_text": "Matthew is a knight, Ava is a knight, Benjamin is a knight, Lucas is a knight, and Luke is a knave.", "solution_text_format": "(1) Matthew is a knight\n(2) Ava is a knight\n(3) Benjamin is a knight\n(4) Lucas is a knight\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 Matthew is a knight. No contradiction is found in their claim that Ava is a knight if and only if Lucas is a knight.", "Assume Ava is a knight. No contradiction is found in their claim that Benjamin is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that Ava is a knight or Matthew is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that Benjamin is a knight or Matthew is a knight.", "Luke cannot be a knight, because this would contradict the claim of their own that Benjamin is a knave if and only if Ava is a knight.", "Assume Luke is a knave. No contradiction is found in their false claim that Benjamin is a knave if and only if Ava is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('telling-truth', 3)), ('telling-truth', 2), ('or', ('telling-truth', 1), ('telling-truth', 0)), ('or', ('telling-truth', 2), ('telling-truth', 0)), ('<=>', ('lying', 2), ('telling-truth', 1)))", "index": 240}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Charlotte, Harper, Elizabeth, William, and Penelope. Charlotte said that Elizabeth is a knight if and only if Penelope is a knight. \"Charlotte is not a knight\" - Harper. Elizabeth told you that Penelope is a knight and Elizabeth is a knight. William was heard saying, \"If Charlotte is a knave then Elizabeth is a knight\". Penelope said, \"Charlotte is a knave if and only if Charlotte is a knight.\" So who is a knight and who is a knave?", "names": ["Charlotte", "Harper", "Elizabeth", "William", "Penelope"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, false], "solution_text": "Charlotte is a knight, Harper is a knave, Elizabeth is a knave, William is a knight, and Penelope is a knave.", "solution_text_format": "(1) Charlotte is a knight\n(2) Harper is a knave\n(3) Elizabeth is a knave\n(4) William 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 Charlotte is a knight. No contradiction is found in their claim that Elizabeth is a knight if and only if Penelope is a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Penelope is a knight and Elizabeth is a knight.", "Penelope cannot be a knight, because this would contradict the claim of their own that Charlotte is a knave if and only if Charlotte is a knight.", "Penelope cannot be a knave, because this would contradict the claim of Charlotte that Elizabeth is a knight if and only if Penelope is a knight.", "We have exhausted all possibilities for Penelope, so let us go back and reconsider Elizabeth.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Penelope is a knight and Elizabeth is a knight.", "Penelope cannot be a knight, because this would contradict the claim of Charlotte that Elizabeth is a knight if and only if Penelope is a knight.", "Assume Penelope is a knave. No contradiction is found in their false claim that Charlotte is a knave if and only if Charlotte is a knight.", "Harper cannot be a knight, because this would contradict the claim of their own that Charlotte is not a knight.", "Assume Harper is a knave. No contradiction is found in their false claim that Charlotte is not a knight.", "Assume William is a knight. No contradiction is found in their claim that If Charlotte is a knave then Elizabeth is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 2), ('telling-truth', 4)), ('not', ('telling-truth', 0)), ('and', ('telling-truth', 4), ('telling-truth', 2)), ('->', ('lying', 0), ('telling-truth', 2)), ('<=>', ('lying', 0), ('telling-truth', 0)))", "index": 241}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aiden, Emily, Logan, Joseph, and Zoey. Aiden noted, \"Zoey is a knave or Logan is a knave\". \"If Emily is a knight then Zoey is a knave,\" Emily declared. In a statement by Logan: \"Emily is not a knight\". Joseph stated, \"Logan is a knave or Logan is a knight\". Zoey told you that Joseph is a knave and Zoey is a knight. So who is a knight and who is a knave?", "names": ["Aiden", "Emily", "Logan", "Joseph", "Zoey"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true, false], "solution_text": "Aiden is a knight, Emily is a knight, Logan is a knave, Joseph is a knight, and Zoey is a knave.", "solution_text_format": "(1) Aiden is a knight\n(2) Emily is a knight\n(3) Logan is a knave\n(4) Joseph is a knight\n(5) Zoey is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aiden is a knight. No contradiction is found in their claim that Zoey is a knave or Logan is a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that Joseph is a knave and Zoey is a knight.", "Joseph cannot be a knight, because this would contradict the claim of Zoey that Joseph is a knave and Zoey is a knight.", "Joseph cannot be a knave, because this would contradict the false claim of their own that Logan is a knave or Logan is a knight.", "We have exhausted all possibilities for Joseph, 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 knave and Zoey is a knight.", "Assume Joseph is a knight. No contradiction is found in their claim that Logan is a knave or Logan is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that Emily is not a knight.", "Emily cannot be a knight, because this would contradict the claim of Logan that Emily is not a knight.", "Emily cannot be a knave, because this would contradict the false claim of their own that If Emily is a knight then Zoey is a knave.", "We have exhausted all possibilities for Emily, so let us go back and reconsider Logan.", "Assume Logan is a knave. No contradiction is found in their false claim that Emily is not a knight.", "Assume Emily is a knight. No contradiction is found in their claim that If Emily is a knight then Zoey is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 4), ('lying', 2)), ('->', ('telling-truth', 1), ('lying', 4)), ('not', ('telling-truth', 1)), ('or', ('lying', 2), ('telling-truth', 2)), ('and', ('lying', 3), ('telling-truth', 4)))", "index": 242}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Avery, Mason, Evelyn, Elizabeth, and Logan. \"If Elizabeth is a knight then Mason is a knight,\" Avery mentioned. Mason told you that If Logan is a knight then Evelyn is a knave. \"Mason is a knight and Elizabeth is a knave\" - Evelyn. In Elizabeth's words: \"Mason is a knight and Mason is a knave\". According to Logan, \"Evelyn is a knave and Mason is a knight\". So who is a knight and who is a knave?", "names": ["Avery", "Mason", "Evelyn", "Elizabeth", "Logan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false, false], "solution_text": "Avery is a knight, Mason is a knight, Evelyn is a knight, Elizabeth is a knave, and Logan is a knave.", "solution_text_format": "(1) Avery is a knight\n(2) Mason is a knight\n(3) Evelyn is a knight\n(4) Elizabeth is a knave\n(5) Logan is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Avery is a knight. No contradiction is found in their claim that If Elizabeth is a knight then Mason is a knight.", "Elizabeth cannot be a knight, because this would contradict the claim of their own that Mason is a knight and Mason is a knave.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Mason is a knight and Mason is a knave.", "Assume Mason is a knight. No contradiction is found in their claim that If Logan is a knight then Evelyn is a knave.", "Assume Logan is a knight. No contradiction is found in their claim that Evelyn is a knave and Mason is a knight.", "Evelyn cannot be a knight, because this would contradict the claim of Mason that If Logan is a knight then Evelyn is a knave.", "Evelyn cannot be a knave, because this would contradict the false claim of their own that Mason is a knight and Elizabeth is a knave.", "We have exhausted all possibilities for Evelyn, so let us go back and reconsider Logan.", "Assume Logan is a knave. No contradiction is found in their false claim that Evelyn is a knave and Mason is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that Mason is a knight and Elizabeth is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 3), ('telling-truth', 1)), ('->', ('telling-truth', 4), ('lying', 2)), ('and', ('telling-truth', 1), ('lying', 3)), ('and', ('telling-truth', 1), ('lying', 1)), ('and', ('lying', 2), ('telling-truth', 1)))", "index": 243}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Sofia, Harper, Abigail, Oliver, and Jack. Sofia said that Jack is not a knave. Harper commented, \"Oliver is a knight and Sofia is a knight\". According to Abigail, \"Harper is a knight and Sofia is a knave\". According to Oliver, \"Abigail is not a knight\". Jack told you that Jack is a knight and Abigail is a knight. So who is a knight and who is a knave?", "names": ["Sofia", "Harper", "Abigail", "Oliver", "Jack"], "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": "Sofia is a knave, Harper is a knave, Abigail is a knave, Oliver is a knight, and Jack is a knave.", "solution_text_format": "(1) Sofia is a knave\n(2) Harper is a knave\n(3) Abigail is a knave\n(4) Oliver is a knight\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 Sofia 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 Jack is a knight and Abigail is a knight.", "Abigail cannot be a knight, because this would contradict the claim of their own that Harper is a knight and Sofia is a knave.", "Abigail cannot be a knave, because this would contradict the claim of Jack that Jack is a knight and Abigail is a knight.", "We have exhausted all possibilities for Abigail, so let us go back and reconsider Jack.", "Jack cannot be a knave, because this would contradict the claim of Sofia that Jack is not a knave.", "We have exhausted all possibilities for Jack, so let us go back and reconsider Sofia.", "Assume Sofia is a knave. No contradiction is found in their false claim that Jack is not a knave.", "Jack cannot be a knight, because this would contradict the false claim of Sofia that Jack is not a knave.", "Assume Jack is a knave. No contradiction is found in their false claim that Jack is a knight and Abigail is a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that Harper is a knight and Sofia is a knave.", "Harper cannot be a knight, because this would contradict the claim of their own that Oliver is a knight and Sofia is a knight.", "Harper cannot be a knave, because this would contradict the claim of Abigail that Harper is a knight and Sofia is a knave.", "We have exhausted all possibilities for Harper, so let us go back and reconsider Abigail.", "Assume Abigail is a knave. No contradiction is found in their false claim that Harper is a knight and Sofia is a knave.", "Harper cannot be a knight, because this would contradict the claim of their own that Oliver is a knight and Sofia is a knight.", "Assume Harper is a knave. No contradiction is found in their false claim that Oliver is a knight and Sofia is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that Abigail is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 4)), ('and', ('telling-truth', 3), ('telling-truth', 0)), ('and', ('telling-truth', 1), ('lying', 0)), ('not', ('telling-truth', 2)), ('and', ('telling-truth', 4), ('telling-truth', 2)))", "index": 244}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aria, Mia, Avery, William, and Aiden. Aria told you that Mia is a knave or Avery is a knave. \"Aiden is not a knave,\" Mia claimed. Avery commented, \"Aria is not a knave\". \"Mia is a knave and Avery is a knave,\" William declared. Aiden said, \"If Aria is a knight then William is a knight.\" So who is a knight and who is a knave?", "names": ["Aria", "Mia", "Avery", "William", "Aiden"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false, false], "solution_text": "Aria is a knight, Mia is a knave, Avery is a knight, William is a knave, and Aiden is a knave.", "solution_text_format": "(1) Aria is a knight\n(2) Mia is a knave\n(3) Avery is a knight\n(4) William is a knave\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 Aria is a knight. No contradiction is found in their claim that Mia is a knave or Avery is a knave.", "Assume Mia is a knight. No contradiction is found in their claim that Aiden is not a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that If Aria is a knight then William is a knight.", "William cannot be a knight, because this would contradict the claim of their own that Mia is a knave and Avery is a knave.", "William cannot be a knave, because this would contradict the claim of Aiden that If Aria is a knight then William is a knight.", "We have exhausted all possibilities for William, so let us go back and reconsider Aiden.", "Aiden cannot be a knave, because this would contradict the claim of Mia that Aiden is not a knave.", "We have exhausted all possibilities for Aiden, so let us go back and reconsider Mia.", "Assume Mia is a knave. No contradiction is found in their false claim that Aiden is not a knave.", "Aiden cannot be a knight, because this would contradict the false claim of Mia that Aiden is not a knave.", "Assume Aiden is a knave. No contradiction is found in their false claim that If Aria is a knight then William is a knight.", "William cannot be a knight, because this would contradict the false claim of Aiden that If Aria is a knight then William is a knight.", "Assume William is a knave. No contradiction is found in their false claim that Mia is a knave and Avery is a knave.", "Assume Avery is a knight. No contradiction is found in their claim that Aria is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('lying', 2)), ('not', ('lying', 4)), ('not', ('lying', 0)), ('and', ('lying', 1), ('lying', 2)), ('->', ('telling-truth', 0), ('telling-truth', 3)))", "index": 245}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Lily, Henry, Joseph, Amelia, and Sofia. \"Amelia is not a knight,\" Lily declared. \"Amelia is a knave if and only if Lily is a knave,\" Henry claimed. Joseph remarked, \"Henry is not a knight\". Amelia remarked, \"If Henry is a knave then Sofia is a knight\". As Sofia put it, \"Joseph is a knave\". So who is a knight and who is a knave?", "names": ["Lily", "Henry", "Joseph", "Amelia", "Sofia"], "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": "Lily is a knight, Henry is a knave, Joseph is a knight, Amelia is a knave, and Sofia is a knave.", "solution_text_format": "(1) Lily is a knight\n(2) Henry is a knave\n(3) Joseph is a knight\n(4) Amelia is a knave\n(5) Sofia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Lily is a knight. No contradiction is found in their claim that Amelia is not a knight.", "Amelia cannot be a knight, because this would contradict the claim of Lily that Amelia is not a knight.", "Assume Amelia is a knave. No contradiction is found in their false claim that If Henry is a knave then Sofia is a knight.", "Henry cannot be a knight, because this would contradict the claim of their own that Amelia is a knave if and only if Lily is a knave.", "Assume Henry is a knave. No contradiction is found in their false claim that Amelia is a knave if and only if Lily is a knave.", "Sofia cannot be a knight, because this would contradict the false claim of Amelia that If Henry is a knave then Sofia is a knight.", "Assume Sofia is a knave. No contradiction is found in their false claim that Joseph is a knave.", "Assume Joseph is a knight. No contradiction is found in their claim that Henry is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 3)), ('<=>', ('lying', 3), ('lying', 0)), ('not', ('telling-truth', 1)), ('->', ('lying', 1), ('telling-truth', 4)), ('lying', 2))", "index": 246}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Jackson, Riley, Aiden, Sofia, and Samuel. \"Sofia is a knave if and only if Samuel is a knave\" - Jackson. Riley told you that Jackson is not a knight. Aiden said that If Sofia is a knave then Riley is a knave. Sofia expressed that Riley is not a knight. Samuel told you that If Jackson is a knight then Jackson is a knave. So who is a knight and who is a knave?", "names": ["Jackson", "Riley", "Aiden", "Sofia", "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": "Jackson is a knave, Riley is a knight, Aiden is a knave, Sofia is a knave, and Samuel is a knight.", "solution_text_format": "(1) Jackson is a knave\n(2) Riley is a knight\n(3) Aiden is a knave\n(4) Sofia 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 Jackson is a knight. No contradiction is found in their claim that Sofia is a knave if and only if Samuel is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that Riley is not a knight.", "Riley cannot be a knight, because this would contradict the claim of their own that Jackson is not a knight.", "Assume Riley is a knave. No contradiction is found in their false claim that Jackson is not a knight.", "Samuel cannot be a knight, because this would contradict the claim of their own that If Jackson is a knight then Jackson is a knave.", "Samuel cannot be a knave, because this would contradict the claim of Jackson that Sofia is a knave if and only if Samuel is a knave.", "We have exhausted all possibilities for Samuel and Riley, so let us go back and reconsider Sofia.", "Assume Sofia is a knave. No contradiction is found in their false claim that Riley is not a knight.", "Riley cannot be a knight, because this would contradict the claim of their own that Jackson is not a knight.", "Riley cannot be a knave, because this would contradict the false claim of Sofia that Riley is not a knight.", "We have exhausted all possibilities for Riley and Sofia, so let us go back and reconsider Jackson.", "Assume Jackson is a knave. No contradiction is found in their false claim that Sofia is a knave if and only if Samuel is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that Riley is not a knight.", "Riley cannot be a knight, because this would contradict the claim of Sofia that Riley is not a knight.", "Riley cannot be a knave, because this would contradict the false claim of their own that Jackson is not a knight.", "We have exhausted all possibilities for Riley, so let us go back and reconsider Sofia.", "Assume Sofia is a knave. No contradiction is found in their false claim that Riley is not a knight.", "Assume Riley is a knight. No contradiction is found in their claim that Jackson is not a knight.", "Assume Samuel is a knight. No contradiction is found in their claim that If Jackson is a knight then Jackson is a knave.", "Aiden cannot be a knight, because this would contradict the claim of their own that If Sofia is a knave then Riley is a knave.", "Assume Aiden is a knave. No contradiction is found in their false claim that If Sofia is a knave then Riley is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 3), ('lying', 4)), ('not', ('telling-truth', 0)), ('->', ('lying', 3), ('lying', 1)), ('not', ('telling-truth', 1)), ('->', ('telling-truth', 0), ('lying', 0)))", "index": 247}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Harper, Oliver, Emma, Zoey, and Luke. Harper expressed that Zoey is a knight and Luke is a knight. Oliver stated, \"Zoey is a knight or Luke is a knight\". Emma told you that Luke is a knight and Emma is a knight. As Zoey put it, \"Harper is not a knight\". Luke said that Harper is a knight and Emma is a knave. So who is a knight and who is a knave?", "names": ["Harper", "Oliver", "Emma", "Zoey", "Luke"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true, false], "solution_text": "Harper is a knave, Oliver is a knight, Emma is a knave, Zoey is a knight, and Luke is a knave.", "solution_text_format": "(1) Harper is a knave\n(2) Oliver is a knight\n(3) Emma is a knave\n(4) Zoey is a knight\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 Harper is a knight. No contradiction is found in their claim that Zoey is a knight and Luke is a knight.", "Zoey cannot be a knight, because this would contradict the claim of their own that Harper is not a knight.", "Zoey cannot be a knave, because this would contradict the claim of Harper that Zoey is a knight and Luke is a knight.", "We have exhausted all possibilities for Zoey, so let us go back and reconsider Harper.", "Assume Harper is a knave. No contradiction is found in their false claim that Zoey is a knight and Luke is a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that Harper is not a knight.", "Luke cannot be a knight, because this would contradict the false claim of Harper that Zoey is a knight and Luke is a knight.", "Assume Luke is a knave. No contradiction is found in their false claim that Harper is a knight and Emma is a knave.", "Emma cannot be a knight, because this would contradict the claim of their own that Luke is a knight and Emma is a knight.", "Assume Emma is a knave. No contradiction is found in their false claim that Luke is a knight and Emma is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that Zoey is a knight or Luke is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 3), ('telling-truth', 4)), ('or', ('telling-truth', 3), ('telling-truth', 4)), ('and', ('telling-truth', 4), ('telling-truth', 2)), ('not', ('telling-truth', 0)), ('and', ('telling-truth', 0), ('lying', 2)))", "index": 248}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: David, Isabella, Michael, Sebastian, and Charlotte. David asserted: \"Michael is a knight\". Isabella said, \"David is a knave and Charlotte is a knave.\" According to Michael, \"Sebastian is a knight if and only if Michael is a knight\". Sebastian noted, \"Michael is not a knave\". Charlotte stated, \"If Charlotte is a knight then Sebastian is a knight\". So who is a knight and who is a knave?", "names": ["David", "Isabella", "Michael", "Sebastian", "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": "David is a knight, Isabella is a knave, Michael is a knight, Sebastian is a knight, and Charlotte is a knight.", "solution_text_format": "(1) David is a knight\n(2) Isabella is a knave\n(3) Michael is a knight\n(4) Sebastian 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 David 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 Sebastian is a knight if and only if Michael is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Michael is not a knave.", "Isabella cannot be a knight, because this would contradict the claim of their own that David is a knave and Charlotte is a knave.", "Assume Isabella is a knave. No contradiction is found in their false claim that David is a knave and Charlotte is a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that If Charlotte is a knight then Sebastian is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 2), ('and', ('lying', 0), ('lying', 4)), ('<=>', ('telling-truth', 3), ('telling-truth', 2)), ('not', ('lying', 2)), ('->', ('telling-truth', 4), ('telling-truth', 3)))", "index": 249}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Jacob, Penelope, Ethan, Matthew, and Noah. Jacob commented, \"Ethan is a knave\". \"Jacob is a knight and Ethan is a knave,\" Penelope claimed. Ethan was heard saying, \"If Penelope is a knave then Matthew is a knave\". Matthew was heard saying, \"Jacob is a knight or Noah is a knight\". In Noah's words: \"Jacob is a knight and Ethan is a knight\". So who is a knight and who is a knave?", "names": ["Jacob", "Penelope", "Ethan", "Matthew", "Noah"], "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": "Jacob is a knave, Penelope is a knave, Ethan is a knight, Matthew is a knave, and Noah is a knave.", "solution_text_format": "(1) Jacob is a knave\n(2) Penelope is a knave\n(3) Ethan is a knight\n(4) Matthew is a knave\n(5) Noah is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jacob is a knight. No contradiction is found in their claim that Ethan is a knave.", "Ethan cannot be a knight, because this would contradict the claim of Jacob that Ethan is a knave.", "Assume Ethan is a knave. No contradiction is found in their false claim that If Penelope is a knave then Matthew is a knave.", "Penelope cannot be a knight, because this would contradict the false claim of Ethan that If Penelope is a knave then Matthew is a knave.", "Penelope cannot be a knave, because this would contradict the false claim of their own that Jacob is a knight and Ethan is a knave.", "We have exhausted all possibilities for Penelope and Ethan, so let us go back and reconsider Jacob.", "Assume Jacob is a knave. No contradiction is found in their false claim that Ethan is a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that If Penelope is a knave then Matthew is a knave.", "Penelope cannot be a knight, because this would contradict the claim of their own that Jacob is a knight and Ethan is a knave.", "Assume Penelope is a knave. No contradiction is found in their false claim that Jacob is a knight and Ethan is a knave.", "Matthew cannot be a knight, because this would contradict the claim of Ethan that If Penelope is a knave then Matthew is a knave.", "Assume Matthew is a knave. No contradiction is found in their false claim that Jacob is a knight or Noah is a knight.", "Noah cannot be a knight, because this would contradict the false claim of Matthew that Jacob is a knight or Noah is a knight.", "Assume Noah is a knave. No contradiction is found in their false claim that Jacob is a knight and Ethan is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 2), ('and', ('telling-truth', 0), ('lying', 2)), ('->', ('lying', 1), ('lying', 3)), ('or', ('telling-truth', 0), ('telling-truth', 4)), ('and', ('telling-truth', 0), ('telling-truth', 2)))", "index": 250}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Ethan, Aurora, Sofia, Scarlett, and Jack. Ethan remarked, \"Scarlett is not a knight\". Aurora said that Ethan is a knight and Sofia is a knight. In a statement by Sofia: \"Jack is a knight if and only if Aurora is a knave\". \"Scarlett is a knight or Jack is a knave,\" Scarlett declared. Jack remarked, \"If Ethan is a knight then Scarlett is a knave\". So who is a knight and who is a knave?", "names": ["Ethan", "Aurora", "Sofia", "Scarlett", "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": "Ethan is a knave, Aurora is a knave, Sofia is a knight, Scarlett is a knight, and Jack is a knight.", "solution_text_format": "(1) Ethan is a knave\n(2) Aurora is a knave\n(3) Sofia is a knight\n(4) Scarlett 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 Ethan is a knight. No contradiction is found in their claim that Scarlett is not a knight.", "Scarlett cannot be a knight, because this would contradict the claim of Ethan that Scarlett is not a knight.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Scarlett is a knight or Jack is a knave.", "Assume Jack is a knight. No contradiction is found in their claim that If Ethan is a knight then Scarlett is a knave.", "Assume Aurora is a knight. No contradiction is found in their claim that Ethan is a knight and Sofia is a knight.", "Sofia cannot be a knight, because this would contradict the claim of their own that Jack is a knight if and only if Aurora is a knave.", "Sofia cannot be a knave, because this would contradict the claim of Aurora that Ethan is a knight and Sofia is a knight.", "We have exhausted all possibilities for Sofia, so let us go back and reconsider Aurora.", "Assume Aurora is a knave. No contradiction is found in their false claim that Ethan is a knight and Sofia is a knight.", "Sofia cannot be a knight, because this would contradict the false claim of Aurora that Ethan is a knight and Sofia is a knight.", "Sofia cannot be a knave, because this would contradict the false claim of their own that Jack is a knight if and only if Aurora is a knave.", "We have exhausted all possibilities for Sofia and Aurora, so let us go back and reconsider Jack.", "Jack cannot be a knave, because this would contradict the false claim of Scarlett that Scarlett is a knight or Jack is a knave.", "We have exhausted all possibilities for Jack and Scarlett, so let us go back and reconsider Ethan.", "Assume Ethan is a knave. No contradiction is found in their false claim that Scarlett is not a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that Scarlett is a knight or Jack is a knave.", "Assume Jack is a knight. No contradiction is found in their claim that If Ethan is a knight then Scarlett is a knave.", "Aurora cannot be a knight, because this would contradict the claim of their own that Ethan is a knight and Sofia is a knight.", "Assume Aurora is a knave. No contradiction is found in their false claim that Ethan is a knight and Sofia is a knight.", "Assume Sofia is a knight. No contradiction is found in their claim that Jack is a knight if and only if Aurora is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 3)), ('and', ('telling-truth', 0), ('telling-truth', 2)), ('<=>', ('telling-truth', 4), ('lying', 1)), ('or', ('telling-truth', 3), ('lying', 4)), ('->', ('telling-truth', 0), ('lying', 3)))", "index": 251}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: William, Emma, Isabella, Ethan, and Amelia. \"If Emma is a knight then Ethan is a knave,\" William claimed. \"If Amelia is a knight then William is a knight,\" Emma declared. Isabella stated, \"William is a knave and Amelia is a knight\". Ethan asserted: \"Ethan is a knight\". \"Ethan is a knight if and only if Emma is a knight,\" Amelia claimed. So who is a knight and who is a knave?", "names": ["William", "Emma", "Isabella", "Ethan", "Amelia"], "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": "William is a knight, Emma is a knight, Isabella is a knave, Ethan is a knave, and Amelia is a knave.", "solution_text_format": "(1) William is a knight\n(2) Emma is a knight\n(3) Isabella is a knave\n(4) Ethan 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 William is a knight. No contradiction is found in their claim that If Emma is a knight then Ethan is a knave.", "Assume Emma is a knight. No contradiction is found in their claim that If Amelia is a knight then William is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that Ethan is a knight if and only if Emma is a knight.", "Ethan cannot be a knight, because this would contradict the claim of William that If Emma is a knight then Ethan is a knave.", "Ethan cannot be a knave, because this would contradict the claim of Amelia that Ethan is a knight if and only if Emma is a knight.", "We have exhausted all possibilities for Ethan, so let us go back and reconsider Amelia.", "Assume Amelia is a knave. No contradiction is found in their false claim that Ethan is a knight if and only if Emma is a knight.", "Ethan cannot be a knight, because this would contradict the claim of William that If Emma is a knight then Ethan is a knave.", "Assume Ethan is a knave. No contradiction is found in their false claim that Ethan is a knight.", "Isabella cannot be a knight, because this would contradict the claim of their own that William is a knave and Amelia is a knight.", "Assume Isabella is a knave. No contradiction is found in their false claim that William is a knave and Amelia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 1), ('lying', 3)), ('->', ('telling-truth', 4), ('telling-truth', 0)), ('and', ('lying', 0), ('telling-truth', 4)), ('telling-truth', 3), ('<=>', ('telling-truth', 3), ('telling-truth', 1)))", "index": 252}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Chloe, Sofia, Oliver, Avery, and Charlotte. \"Charlotte is a knave or Avery is a knight,\" Chloe declared. Sofia stated, \"Avery is a knave and Oliver is a knave\". Oliver stated, \"Chloe is a knight or Sofia is a knight\". Avery noted, \"Oliver is not a knave\". \"Oliver is a knight\" - Charlotte. So who is a knight and who is a knave?", "names": ["Chloe", "Sofia", "Oliver", "Avery", "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": "Chloe is a knight, Sofia is a knave, Oliver is a knight, Avery is a knight, and Charlotte is a knight.", "solution_text_format": "(1) Chloe is a knight\n(2) Sofia is a knave\n(3) Oliver is a knight\n(4) Avery 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 Chloe is a knight. No contradiction is found in their claim that Charlotte is a knave or Avery is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that Oliver is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that Chloe is a knight or Sofia is a knight.", "Sofia cannot be a knight, because this would contradict the claim of their own that Avery is a knave and Oliver is a knave.", "Assume Sofia is a knave. No contradiction is found in their false claim that Avery is a knave and Oliver is a knave.", "Assume Avery is a knight. No contradiction is found in their claim that Oliver is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 4), ('telling-truth', 3)), ('and', ('lying', 3), ('lying', 2)), ('or', ('telling-truth', 0), ('telling-truth', 1)), ('not', ('lying', 2)), ('telling-truth', 2))", "index": 253}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Benjamin, Mia, Elizabeth, Sebastian, and David. Benjamin noted, \"Elizabeth is a knave or Elizabeth is a knight\". Mia said, \"Benjamin is a knight and Benjamin is a knave.\" \"Sebastian is a knave or David is a knight,\" Elizabeth declared. Sebastian asserted: \"Mia is a knave or Sebastian is a knight\". David stated, \"Mia is a knave\". So who is a knight and who is a knave?", "names": ["Benjamin", "Mia", "Elizabeth", "Sebastian", "David"], "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": "Benjamin is a knight, Mia is a knave, Elizabeth is a knight, Sebastian is a knight, and David is a knight.", "solution_text_format": "(1) Benjamin is a knight\n(2) Mia is a knave\n(3) Elizabeth is a knight\n(4) Sebastian is a knight\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 Benjamin is a knight. No contradiction is found in their claim that Elizabeth is a knave or Elizabeth is a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Sebastian is a knave or David is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Mia is a knave or Sebastian is a knight.", "Mia cannot be a knight, because this would contradict the claim of their own that Benjamin is a knight and Benjamin is a knave.", "Assume Mia is a knave. No contradiction is found in their false claim that Benjamin is a knight and Benjamin is a knave.", "Assume David is a knight. No contradiction is found in their claim that Mia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 2), ('telling-truth', 2)), ('and', ('telling-truth', 0), ('lying', 0)), ('or', ('lying', 3), ('telling-truth', 4)), ('or', ('lying', 1), ('telling-truth', 3)), ('lying', 1))", "index": 254}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: James, Benjamin, Sophia, Matthew, and Jack. \"Jack is a knight or Matthew is a knight,\" James claimed. \"Matthew is a knave or Jack is a knave\" - Benjamin. Sophia told you that Jack is a knave. As Matthew put it, \"Sophia is a knave if and only if Sophia is a knight\". In a statement by Jack: \"Matthew is not a knight\". So who is a knight and who is a knave?", "names": ["James", "Benjamin", "Sophia", "Matthew", "Jack"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false, true], "solution_text": "James is a knight, Benjamin is a knight, Sophia is a knave, Matthew is a knave, and Jack is a knight.", "solution_text_format": "(1) James is a knight\n(2) Benjamin is a knight\n(3) Sophia is a knave\n(4) Matthew is a knave\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 James is a knight. No contradiction is found in their claim that Jack is a knight or Matthew is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that Matthew is not a knight.", "Matthew cannot be a knight, because this would contradict the claim of their own that Sophia is a knave if and only if Sophia is a knight.", "Assume Matthew is a knave. No contradiction is found in their false claim that Sophia is a knave if and only if Sophia is a knight.", "Sophia cannot be a knight, because this would contradict the claim of their own that Jack is a knave.", "Assume Sophia is a knave. No contradiction is found in their false claim that Jack is a knave.", "Assume Benjamin is a knight. No contradiction is found in their claim that Matthew is a knave or Jack is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 4), ('telling-truth', 3)), ('or', ('lying', 3), ('lying', 4)), ('lying', 4), ('<=>', ('lying', 2), ('telling-truth', 2)), ('not', ('telling-truth', 3)))", "index": 255}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Amelia, Scarlett, Mia, Aiden, and Michael. Amelia told you that If Mia is a knave then Scarlett is a knave. As Scarlett put it, \"Mia is a knight and Scarlett is a knight\". In Mia's words: \"Aiden is not a knight\". In a statement by Aiden: \"If Scarlett is a knight then Mia is a knight\". Michael stated, \"If Scarlett is a knave then Aiden is a knave\". So who is a knight and who is a knave?", "names": ["Amelia", "Scarlett", "Mia", "Aiden", "Michael"], "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": "Amelia is a knight, Scarlett is a knave, Mia is a knave, Aiden is a knight, and Michael is a knave.", "solution_text_format": "(1) Amelia is a knight\n(2) Scarlett is a knave\n(3) Mia is a knave\n(4) Aiden is a knight\n(5) Michael is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Amelia is a knight. No contradiction is found in their claim that If Mia is a knave then Scarlett is a knave.", "Assume Mia is a knight. No contradiction is found in their claim that Aiden is not a knight.", "Aiden cannot be a knight, because this would contradict the claim of Mia that Aiden is not a knight.", "Aiden cannot be a knave, because this would contradict the false claim of their own that If Scarlett is a knight then Mia is a knight.", "We have exhausted all possibilities for Aiden, so let us go back and reconsider Mia.", "Assume Mia is a knave. No contradiction is found in their false claim that Aiden is not a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that If Scarlett is a knight then Mia is a knight.", "Scarlett cannot be a knight, because this would contradict the claim of Amelia that If Mia is a knave then Scarlett is a knave.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Mia is a knight and Scarlett is a knight.", "Michael cannot be a knight, because this would contradict the claim of their own that If Scarlett is a knave then Aiden is a knave.", "Assume Michael is a knave. No contradiction is found in their false claim that If Scarlett is a knave then Aiden is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 2), ('lying', 1)), ('and', ('telling-truth', 2), ('telling-truth', 1)), ('not', ('telling-truth', 3)), ('->', ('telling-truth', 1), ('telling-truth', 2)), ('->', ('lying', 1), ('lying', 3)))", "index": 256}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Ella, Sofia, Jack, Matthew, and Liam. Ella asserted: \"Jack is not a knight\". \"Jack is a knight,\" Sofia mentioned. \"Sofia is a knight or Matthew is a knave\" - Jack. \"Ella is a knave,\" Matthew declared. Liam said that Sofia is a knave and Jack is a knave. So who is a knight and who is a knave?", "names": ["Ella", "Sofia", "Jack", "Matthew", "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": "Ella is a knave, Sofia is a knight, Jack is a knight, Matthew is a knight, and Liam is a knave.", "solution_text_format": "(1) Ella is a knave\n(2) Sofia is a knight\n(3) Jack is a knight\n(4) Matthew 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 Ella is a knight. No contradiction is found in their claim that Jack is not a knight.", "Jack cannot be a knight, because this would contradict the claim of Ella that Jack is not a knight.", "Assume Jack is a knave. No contradiction is found in their false claim that Sofia is a knight or Matthew is a knave.", "Sofia cannot be a knight, because this would contradict the claim of their own that Jack is a knight.", "Assume Sofia is a knave. No contradiction is found in their false claim that Jack is a knight.", "Matthew cannot be a knight, because this would contradict the claim of their own that Ella is a knave.", "Matthew cannot be a knave, because this would contradict the false claim of Jack that Sofia is a knight or Matthew is a knave.", "We have exhausted all possibilities for Matthew, Sofia, and Jack, so let us go back and reconsider Ella.", "Assume Ella is a knave. No contradiction is found in their false claim that Jack is not a knight.", "Assume Jack is a knight. No contradiction is found in their claim that Sofia is a knight or Matthew is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that Jack is a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that Ella is a knave.", "Liam cannot be a knight, because this would contradict the claim of their own that Sofia is a knave and Jack is a knave.", "Assume Liam is a knave. No contradiction is found in their false claim that Sofia is a knave and Jack is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 2)), ('telling-truth', 2), ('or', ('telling-truth', 1), ('lying', 3)), ('lying', 0), ('and', ('lying', 1), ('lying', 2)))", "index": 257}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Joseph, Daniel, Owen, Jacob, and Ava. Joseph noted, \"If Ava is a knight then Jacob is a knave\". Daniel stated, \"If Joseph is a knight then Owen is a knave\". Owen commented, \"Joseph is a knight or Daniel is a knight\". Jacob was heard saying, \"Daniel is a knight and Joseph is a knave\". Ava was heard saying, \"Jacob is a knight and Daniel is a knave\". So who is a knight and who is a knave?", "names": ["Joseph", "Daniel", "Owen", "Jacob", "Ava"], "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": "Joseph is a knight, Daniel is a knave, Owen is a knight, Jacob is a knave, and Ava is a knave.", "solution_text_format": "(1) Joseph is a knight\n(2) Daniel is a knave\n(3) Owen is a knight\n(4) Jacob 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 Joseph is a knight. No contradiction is found in their claim that If Ava is a knight then Jacob is a knave.", "Assume Ava is a knight. No contradiction is found in their claim that Jacob is a knight and Daniel is a knave.", "Jacob cannot be a knight, because this would contradict the claim of Joseph that If Ava is a knight then Jacob is a knave.", "Jacob cannot be a knave, because this would contradict the claim of Ava that Jacob is a knight and Daniel is a knave.", "We have exhausted all possibilities for Jacob, so let us go back and reconsider Ava.", "Assume Ava is a knave. No contradiction is found in their false claim that Jacob is a knight and Daniel is a knave.", "Jacob cannot be a knight, because this would contradict the claim of their own that Daniel is a knight and Joseph is a knave.", "Assume Jacob is a knave. No contradiction is found in their false claim that Daniel is a knight and Joseph is a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that If Joseph is a knight then Owen is a knave.", "Owen cannot be a knight, because this would contradict the claim of Daniel that If Joseph is a knight then Owen is a knave.", "Owen cannot be a knave, because this would contradict the false claim of their own that Joseph is a knight or Daniel is a knight.", "We have exhausted all possibilities for Owen, so let us go back and reconsider Daniel.", "Assume Daniel is a knave. No contradiction is found in their false claim that If Joseph is a knight then Owen is a knave.", "Assume Owen is a knight. No contradiction is found in their claim that Joseph is a knight or Daniel is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 4), ('lying', 3)), ('->', ('telling-truth', 0), ('lying', 2)), ('or', ('telling-truth', 0), ('telling-truth', 1)), ('and', ('telling-truth', 1), ('lying', 0)), ('and', ('telling-truth', 3), ('lying', 1)))", "index": 258}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Jacob, Grace, James, Oliver, and Elizabeth. According to Jacob, \"Oliver is a knight if and only if James is a knight\". In a statement by Grace: \"If Jacob is a knight then Oliver is a knave\". James noted, \"Oliver is a knave or Elizabeth is a knave\". Oliver was heard saying, \"Grace is not a knave\". \"James is a knave or Oliver is a knight,\" Elizabeth claimed. So who is a knight and who is a knave?", "names": ["Jacob", "Grace", "James", "Oliver", "Elizabeth"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true, true], "solution_text": "Jacob is a knave, Grace is a knight, James is a knave, Oliver is a knight, and Elizabeth is a knight.", "solution_text_format": "(1) Jacob is a knave\n(2) Grace is a knight\n(3) James is a knave\n(4) Oliver 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 Jacob is a knight. No contradiction is found in their claim that Oliver is a knight if and only if James is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that Grace is not a knave.", "Grace cannot be a knight, because this would contradict the claim of their own that If Jacob is a knight then Oliver is a knave.", "Grace cannot be a knave, because this would contradict the claim of Oliver that Grace is not a knave.", "We have exhausted all possibilities for Grace, so let us go back and reconsider Oliver.", "Assume Oliver is a knave. No contradiction is found in their false claim that Grace is not a knave.", "Grace cannot be a knight, because this would contradict the false claim of Oliver that Grace is not a knave.", "Grace cannot be a knave, because this would contradict the false claim of their own that If Jacob is a knight then Oliver is a knave.", "We have exhausted all possibilities for Grace and Oliver, so let us go back and reconsider Jacob.", "Assume Jacob is a knave. No contradiction is found in their false claim that Oliver is a knight if and only if James is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that Grace is not a knave.", "Assume Grace is a knight. No contradiction is found in their claim that If Jacob is a knight then Oliver is a knave.", "James cannot be a knight, because this would contradict the false claim of Jacob that Oliver is a knight if and only if James is a knight.", "Assume James is a knave. No contradiction is found in their false claim that Oliver is a knave or Elizabeth is a knave.", "Assume Elizabeth is a knight. No contradiction is found in their claim that James is a knave or Oliver is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 3), ('telling-truth', 2)), ('->', ('telling-truth', 0), ('lying', 3)), ('or', ('lying', 3), ('lying', 4)), ('not', ('lying', 1)), ('or', ('lying', 2), ('telling-truth', 3)))", "index": 259}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Emily, Penelope, William, Scarlett, and Ava. Emily expressed that William is not a knight. Penelope expressed that William is a knight or Scarlett is a knave. \"Penelope is a knave if and only if William is a knight,\" William claimed. As Scarlett put it, \"Ava is a knave\". Ava noted, \"Scarlett is a knight if and only if Scarlett is a knave\". So who is a knight and who is a knave?", "names": ["Emily", "Penelope", "William", "Scarlett", "Ava"], "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, Penelope is a knave, William is a knave, Scarlett is a knight, and Ava is a knave.", "solution_text_format": "(1) Emily is a knight\n(2) Penelope is a knave\n(3) William is a knave\n(4) Scarlett 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 Emily is a knight. No contradiction is found in their claim that William is not a knight.", "William cannot be a knight, because this would contradict the claim of Emily that William is not a knight.", "Assume William is a knave. No contradiction is found in their false claim that Penelope is a knave if and only if William is a knight.", "Penelope cannot be a knight, because this would contradict the false claim of William that Penelope is a knave if and only if William is a knight.", "Assume Penelope is a knave. No contradiction is found in their false claim that William is a knight or Scarlett is a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that Ava is a knave.", "Ava cannot be a knight, because this would contradict the claim of Scarlett that Ava is a knave.", "Assume Ava is a knave. No contradiction is found in their false claim that Scarlett is a knight if and only if Scarlett is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 2)), ('or', ('telling-truth', 2), ('lying', 3)), ('<=>', ('lying', 1), ('telling-truth', 2)), ('lying', 4), ('<=>', ('telling-truth', 3), ('lying', 3)))", "index": 260}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Charlotte, Alexander, Ella, Chloe, and Lily. \"Ella is a knave if and only if Chloe is a knave,\" Charlotte declared. \"Chloe is not a knight,\" Alexander claimed. Ella asserted: \"Lily is a knight or Charlotte is a knight\". As Chloe put it, \"If Alexander is a knave then Charlotte is a knave\". Lily commented, \"Chloe is not a knight\". So who is a knight and who is a knave?", "names": ["Charlotte", "Alexander", "Ella", "Chloe", "Lily"], "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": "Charlotte is a knave, Alexander is a knave, Ella is a knave, Chloe is a knight, and Lily is a knave.", "solution_text_format": "(1) Charlotte is a knave\n(2) Alexander is a knave\n(3) Ella is a knave\n(4) Chloe 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 Charlotte is a knight. No contradiction is found in their claim that Ella is a knave if and only if Chloe is a knave.", "Assume Ella is a knight. No contradiction is found in their claim that Lily is a knight or Charlotte is a knight.", "Assume Lily is a knight. No contradiction is found in their claim that Chloe is not a knight.", "Chloe cannot be a knight, because this would contradict the claim of Lily that Chloe is not a knight.", "Chloe cannot be a knave, because this would contradict the claim of Charlotte that Ella is a knave if and only if Chloe is a knave.", "We have exhausted all possibilities for Chloe, so let us go back and reconsider Lily.", "Assume Lily is a knave. No contradiction is found in their false claim that Chloe is not a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that If Alexander is a knave then Charlotte is a knave.", "Alexander cannot be a knight, because this would contradict the claim of their own that Chloe is not a knight.", "Alexander cannot be a knave, because this would contradict the claim of Chloe that If Alexander is a knave then Charlotte is a knave.", "We have exhausted all possibilities for Alexander, so let us go back and reconsider Chloe.", "Chloe cannot be a knave, because this would contradict the claim of Charlotte that Ella is a knave if and only if Chloe is a knave.", "We have exhausted all possibilities for Chloe and Lily, so let us go back and reconsider Ella.", "Ella cannot be a knave, because this would contradict the false claim of their own that Lily is a knight or Charlotte is a knight.", "We have exhausted all possibilities for Ella, so let us go back and reconsider Charlotte.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Ella is a knave if and only if Chloe is a knave.", "Assume Ella is a knight. No contradiction is found in their claim that Lily is a knight or Charlotte is a knight.", "Assume Lily is a knight. No contradiction is found in their claim that Chloe is not a knight.", "Chloe cannot be a knight, because this would contradict the false claim of Charlotte that Ella is a knave if and only if Chloe is a knave.", "Chloe cannot be a knave, because this would contradict the false claim of their own that If Alexander is a knave then Charlotte is a knave.", "We have exhausted all possibilities for Chloe, so let us go back and reconsider Lily.", "Lily cannot be a knave, because this would contradict the claim of Ella that Lily is a knight or Charlotte is a knight.", "We have exhausted all possibilities for Lily, so let us go back and reconsider Ella.", "Assume Ella is a knave. No contradiction is found in their false claim that Lily is a knight or Charlotte is a knight.", "Lily cannot be a knight, because this would contradict the false claim of Ella that Lily is a knight or Charlotte is a knight.", "Assume Lily is a knave. No contradiction is found in their false claim that Chloe is not a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that If Alexander is a knave then Charlotte is a knave.", "Alexander cannot be a knight, because this would contradict the claim of their own that Chloe is not a knight.", "Assume Alexander is a knave. No contradiction is found in their false claim that Chloe is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 2), ('lying', 3)), ('not', ('telling-truth', 3)), ('or', ('telling-truth', 4), ('telling-truth', 0)), ('->', ('lying', 1), ('lying', 0)), ('not', ('telling-truth', 3)))", "index": 261}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Henry, Avery, Chloe, Oliver, and Evelyn. Henry was heard saying, \"Chloe is a knight\". Avery said that Evelyn is a knave if and only if Evelyn is a knight. Chloe said that Avery is a knave. Oliver told you that Chloe is a knave or Avery is a knight. \"Chloe is a knight,\" Evelyn claimed. So who is a knight and who is a knave?", "names": ["Henry", "Avery", "Chloe", "Oliver", "Evelyn"], "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": "Henry is a knight, Avery is a knave, Chloe is a knight, Oliver is a knave, and Evelyn is a knight.", "solution_text_format": "(1) Henry is a knight\n(2) Avery is a knave\n(3) Chloe is a knight\n(4) Oliver is a knave\n(5) Evelyn is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Henry is a knight. No contradiction is found in their claim that Chloe is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that Avery is a knave.", "Avery cannot be a knight, because this would contradict the claim of their own that Evelyn is a knave if and only if Evelyn is a knight.", "Assume Avery is a knave. No contradiction is found in their false claim that Evelyn is a knave if and only if Evelyn is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that Chloe is a knight.", "Oliver cannot be a knight, because this would contradict the claim of their own that Chloe is a knave or Avery is a knight.", "Assume Oliver is a knave. No contradiction is found in their false claim that Chloe is a knave or Avery is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 2), ('<=>', ('lying', 4), ('telling-truth', 4)), ('lying', 1), ('or', ('lying', 2), ('telling-truth', 1)), ('telling-truth', 2))", "index": 262}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: William, Amelia, Jacob, Aiden, and Samuel. William told you that If Samuel is a knave then Jacob is a knave. Amelia noted, \"Samuel is a knave or William is a knave\". Jacob asserted: \"Samuel is a knight or Samuel is a knave\". In Aiden's words: \"If Amelia is a knave then Aiden is a knight\". \"Aiden is a knight\" - Samuel. So who is a knight and who is a knave?", "names": ["William", "Amelia", "Jacob", "Aiden", "Samuel"], "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": "William is a knight, Amelia is a knave, Jacob is a knight, Aiden is a knight, and Samuel is a knight.", "solution_text_format": "(1) William is a knight\n(2) Amelia is a knave\n(3) Jacob is a knight\n(4) Aiden is a knight\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 William is a knight. No contradiction is found in their claim that If Samuel is a knave then Jacob is a knave.", "Assume Samuel is a knight. No contradiction is found in their claim that Aiden is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that If Amelia is a knave then Aiden is a knight.", "Amelia cannot be a knight, because this would contradict the claim of their own that Samuel is a knave or William is a knave.", "Assume Amelia is a knave. No contradiction is found in their false claim that Samuel is a knave or William is a knave.", "Assume Jacob is a knight. No contradiction is found in their claim that Samuel is a knight or Samuel is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 4), ('lying', 2)), ('or', ('lying', 4), ('lying', 0)), ('or', ('telling-truth', 4), ('lying', 4)), ('->', ('lying', 1), ('telling-truth', 3)), ('telling-truth', 3))", "index": 263}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Liam, Olivia, Emily, Isabella, and Evelyn. According to Liam, \"Olivia is a knave\". Olivia expressed that Emily is a knight. Emily told you that Olivia is a knight and Evelyn is a knight. Isabella said, \"Olivia is a knave and Emily is a knave.\" \"Emily is a knight if and only if Emily is a knave,\" Evelyn claimed. So who is a knight and who is a knave?", "names": ["Liam", "Olivia", "Emily", "Isabella", "Evelyn"], "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": "Liam is a knight, Olivia is a knave, Emily is a knave, Isabella is a knight, and Evelyn is a knave.", "solution_text_format": "(1) Liam is a knight\n(2) Olivia is a knave\n(3) Emily is a knave\n(4) Isabella is a knight\n(5) 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 Liam 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 Liam that Olivia is a knave.", "Assume Olivia is a knave. No contradiction is found in their false claim that Emily is a knight.", "Emily cannot be a knight, because this would contradict the false claim of Olivia that Emily is a knight.", "Assume Emily is a knave. No contradiction is found in their false claim that Olivia is a knight and Evelyn is a knight.", "Evelyn cannot be a knight, because this would contradict the claim of their own that Emily is a knight if and only if Emily is a knave.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Emily is a knight if and only if Emily is a knave.", "Assume Isabella is a knight. No contradiction is found in their claim that Olivia is a knave and Emily is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('telling-truth', 2), ('and', ('telling-truth', 1), ('telling-truth', 4)), ('and', ('lying', 1), ('lying', 2)), ('<=>', ('telling-truth', 2), ('lying', 2)))", "index": 264}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Henry, Riley, Emily, Mason, and Samuel. Henry said that Mason is a knight or Samuel is a knave. In a statement by Riley: \"Henry is a knave or Emily is a knave\". Emily asserted: \"Henry is not a knave\". Mason said, \"Emily is a knight if and only if Samuel is a knave.\" \"Riley is not a knave\" - Samuel. So who is a knight and who is a knave?", "names": ["Henry", "Riley", "Emily", "Mason", "Samuel"], "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, Riley is a knave, Emily is a knight, Mason is a knight, and Samuel is a knave.", "solution_text_format": "(1) Henry is a knight\n(2) Riley is a knave\n(3) Emily is a knight\n(4) Mason is a knight\n(5) Samuel is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Henry is a knight. No contradiction is found in their claim that Mason is a knight or Samuel is a knave.", "Assume Mason is a knight. No contradiction is found in their claim that Emily is a knight if and only if Samuel is a knave.", "Assume Emily is a knight. No contradiction is found in their claim that Henry is not a knave.", "Samuel cannot be a knight, because this would contradict the claim of Mason that Emily 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 Riley is not a knave.", "Riley cannot be a knight, because this would contradict the claim of their own that Henry is a knave or Emily is a knave.", "Assume Riley is a knave. No contradiction is found in their false claim that Henry is a knave or Emily is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 3), ('lying', 4)), ('or', ('lying', 0), ('lying', 2)), ('not', ('lying', 0)), ('<=>', ('telling-truth', 2), ('lying', 4)), ('not', ('lying', 1)))", "index": 265}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Oliver, Penelope, Olivia, Ava, and Samuel. According to Oliver, \"Penelope is not a knight\". Penelope told you that Olivia is not a knight. Olivia asserted: \"Ava is a knave\". Ava commented, \"Oliver is a knave and Olivia is a knight\". Samuel asserted: \"Penelope is a knave or Penelope is a knight\". So who is a knight and who is a knave?", "names": ["Oliver", "Penelope", "Olivia", "Ava", "Samuel"], "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": "Oliver is a knight, Penelope is a knave, Olivia is a knight, Ava is a knave, and Samuel is a knight.", "solution_text_format": "(1) Oliver is a knight\n(2) Penelope is a knave\n(3) Olivia is a knight\n(4) Ava 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 Oliver is a knight. No contradiction is found in their claim that Penelope is not a knight.", "Penelope cannot be a knight, because this would contradict the claim of Oliver that Penelope is not a knight.", "Assume Penelope is a knave. No contradiction is found in their false claim that Olivia is not a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that Ava is a knave.", "Ava cannot be a knight, because this would contradict the claim of Olivia that Ava is a knave.", "Assume Ava is a knave. No contradiction is found in their false claim that Oliver is a knave and Olivia is a knight.", "Assume Samuel is a knight. No contradiction is found in their claim that Penelope is a knave or Penelope is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('not', ('telling-truth', 2)), ('lying', 3), ('and', ('lying', 0), ('telling-truth', 2)), ('or', ('lying', 1), ('telling-truth', 1)))", "index": 266}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aurora, Oliver, Abigail, Luke, and Mason. Aurora stated, \"Oliver is not a knight\". Oliver commented, \"If Luke is a knave then Mason is a knave\". According to Abigail, \"Aurora is not a knight\". Luke said, \"If Oliver is a knight then Abigail is a knave.\" \"Aurora is a knight,\" Mason claimed. So who is a knight and who is a knave?", "names": ["Aurora", "Oliver", "Abigail", "Luke", "Mason"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false, false], "solution_text": "Aurora is a knave, Oliver is a knight, Abigail is a knight, Luke is a knave, and Mason is a knave.", "solution_text_format": "(1) Aurora is a knave\n(2) Oliver is a knight\n(3) Abigail is a knight\n(4) Luke is a knave\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 Aurora is a knight. No contradiction is found in their claim that Oliver is not a knight.", "Oliver cannot be a knight, because this would contradict the claim of Aurora that Oliver is not a knight.", "Assume Oliver is a knave. No contradiction is found in their false claim that If Luke is a knave then Mason is a knave.", "Luke cannot be a knight, because this would contradict the false claim of Oliver that If Luke is a knave then Mason is a knave.", "Luke cannot be a knave, because this would contradict the false claim of their own that If Oliver is a knight then Abigail is a knave.", "We have exhausted all possibilities for Luke and Oliver, so let us go back and reconsider Aurora.", "Assume Aurora is a knave. No contradiction is found in their false claim that Oliver is not a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that If Luke is a knave then Mason is a knave.", "Assume Luke is a knight. No contradiction is found in their claim that If Oliver is a knight then Abigail is a knave.", "Abigail cannot be a knight, because this would contradict the claim of Luke that If Oliver is a knight then Abigail is a knave.", "Abigail cannot be a knave, because this would contradict the false claim of their own that Aurora is not a knight.", "We have exhausted all possibilities for Abigail, so let us go back and reconsider Luke.", "Assume Luke is a knave. No contradiction is found in their false claim that If Oliver is a knight then Abigail is a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that Aurora is not a knight.", "Mason cannot be a knight, because this would contradict the claim of Oliver that If Luke is a knave then Mason is a knave.", "Assume Mason is a knave. No contradiction is found in their false claim that Aurora is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('->', ('lying', 3), ('lying', 4)), ('not', ('telling-truth', 0)), ('->', ('telling-truth', 1), ('lying', 2)), ('telling-truth', 0))", "index": 267}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Avery, Sebastian, Logan, Ethan, and Penelope. As Avery put it, \"Sebastian is a knight if and only if Ethan is a knight\". Sebastian expressed that Ethan is a knight. \"Logan is a knight and Sebastian is a knight,\" Logan claimed. Ethan said that Logan is a knave if and only if Logan is a knight. Penelope remarked, \"If Logan is a knight then Logan is a knave\". So who is a knight and who is a knave?", "names": ["Avery", "Sebastian", "Logan", "Ethan", "Penelope"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false, true], "solution_text": "Avery is a knight, Sebastian is a knave, Logan is a knave, Ethan is a knave, and Penelope is a knight.", "solution_text_format": "(1) Avery is a knight\n(2) Sebastian is a knave\n(3) Logan is a knave\n(4) Ethan is a knave\n(5) Penelope is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Avery is a knight. No contradiction is found in their claim that Sebastian is a knight if and only if Ethan is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Ethan is a knight.", "Ethan cannot be a knight, because this would contradict the claim of their own that Logan is a knave if and only if Logan is a knight.", "Ethan cannot be a knave, because this would contradict the claim of Avery that Sebastian is a knight if and only if Ethan is a knight.", "We have exhausted all possibilities for Ethan, so let us go back and reconsider Sebastian.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Ethan is a knight.", "Ethan cannot be a knight, because this would contradict the claim of Avery that Sebastian is a knight if and only if Ethan is a knight.", "Assume Ethan is a knave. No contradiction is found in their false claim that Logan is a knave if and only if Logan is a knight.", "Logan cannot be a knight, because this would contradict the claim of their own that Logan is a knight and Sebastian is a knight.", "Assume Logan is a knave. No contradiction is found in their false claim that Logan is a knight and Sebastian is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that If Logan is a knight then Logan is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('telling-truth', 3)), ('telling-truth', 3), ('and', ('telling-truth', 2), ('telling-truth', 1)), ('<=>', ('lying', 2), ('telling-truth', 2)), ('->', ('telling-truth', 2), ('lying', 2)))", "index": 268}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Mia, Ava, Scarlett, Emily, and Lily. Mia noted, \"If Emily is a knight then Ava is a knave\". Ava asserted: \"Mia is a knave if and only if Emily is a knave\". Scarlett was heard saying, \"Lily is not a knave\". As Emily put it, \"Lily is not a knave\". In a statement by Lily: \"Ava is not a knave\". So who is a knight and who is a knave?", "names": ["Mia", "Ava", "Scarlett", "Emily", "Lily"], "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": "Mia is a knight, Ava is a knave, Scarlett is a knave, Emily is a knave, and Lily is a knave.", "solution_text_format": "(1) Mia is a knight\n(2) Ava is a knave\n(3) Scarlett is a knave\n(4) Emily 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 Mia is a knight. No contradiction is found in their claim that If Emily is a knight then Ava is a knave.", "Assume Emily is a knight. No contradiction is found in their claim that Lily is not a knave.", "Assume Lily is a knight. No contradiction is found in their claim that Ava is not a knave.", "Ava cannot be a knight, because this would contradict the claim of Mia that If Emily is a knight then Ava is a knave.", "Ava cannot be a knave, because this would contradict the false claim of their own that Mia is a knave if and only if Emily is a knave.", "We have exhausted all possibilities for Ava, so let us go back and reconsider Lily.", "Lily cannot be a knave, because this would contradict the claim of Emily that Lily is not a knave.", "We have exhausted all possibilities for Lily, so let us go back and reconsider Emily.", "Assume Emily is a knave. No contradiction is found in their false claim that Lily is not a knave.", "Lily cannot be a knight, because this would contradict the false claim of Emily that Lily is not a knave.", "Assume Lily is a knave. No contradiction is found in their false claim that Ava is not a knave.", "Ava cannot be a knight, because this would contradict the claim of their own that Mia is a knave if and only if Emily is a knave.", "Assume Ava is a knave. No contradiction is found in their false claim that Mia is a knave if and only if Emily is a knave.", "Scarlett cannot be a knight, because this would contradict the claim of their own that Lily is not a knave.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Lily is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 3), ('lying', 1)), ('<=>', ('lying', 0), ('lying', 3)), ('not', ('lying', 4)), ('not', ('lying', 4)), ('not', ('lying', 1)))", "index": 269}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Jacob, Chloe, Penelope, Avery, and Scarlett. Jacob commented, \"Penelope is a knave\". Chloe remarked, \"Scarlett is a knight or Avery is a knave\". Penelope asserted: \"Avery is a knight if and only if Chloe is a knight\". Avery was heard saying, \"If Jacob is a knave then Penelope is a knave\". As Scarlett put it, \"Chloe is not a knave\". So who is a knight and who is a knave?", "names": ["Jacob", "Chloe", "Penelope", "Avery", "Scarlett"], "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": "Jacob is a knight, Chloe is a knave, Penelope is a knave, Avery is a knight, and Scarlett is a knave.", "solution_text_format": "(1) Jacob is a knight\n(2) Chloe is a knave\n(3) Penelope is a knave\n(4) Avery 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 Jacob 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 Jacob that Penelope is a knave.", "Assume Penelope is a knave. No contradiction is found in their false claim that Avery is a knight if and only if Chloe is a knight.", "Assume Avery is a knight. No contradiction is found in their claim that If Jacob is a knave then Penelope is a knave.", "Chloe cannot be a knight, because this would contradict the false claim of Penelope that Avery 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 Scarlett is a knight or Avery is a knave.", "Scarlett cannot be a knight, because this would contradict the false claim of Chloe that Scarlett is a knight or Avery is a knave.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Chloe is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 2), ('or', ('telling-truth', 4), ('lying', 3)), ('<=>', ('telling-truth', 3), ('telling-truth', 1)), ('->', ('lying', 0), ('lying', 2)), ('not', ('lying', 1)))", "index": 270}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Luke, Jackson, Lucas, Charlotte, and Logan. Luke noted, \"Charlotte is a knight or Luke is a knight\". \"Logan is a knave or Logan is a knight,\" Jackson mentioned. \"Logan is a knight if and only if Charlotte is a knave,\" Lucas mentioned. Charlotte was heard saying, \"Jackson is a knight and Luke is a knave\". \"Charlotte is a knight,\" Logan mentioned. So who is a knight and who is a knave?", "names": ["Luke", "Jackson", "Lucas", "Charlotte", "Logan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false, false], "solution_text": "Luke is a knight, Jackson is a knight, Lucas is a knave, Charlotte is a knave, and Logan is a knave.", "solution_text_format": "(1) Luke is a knight\n(2) Jackson is a knight\n(3) Lucas is a knave\n(4) Charlotte is a knave\n(5) Logan is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Luke is a knight. No contradiction is found in their claim that Charlotte is a knight or Luke is a knight.", "Charlotte cannot be a knight, because this would contradict the claim of their own that Jackson is a knight and Luke is a knave.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Jackson is a knight and Luke is a knave.", "Assume Jackson is a knight. No contradiction is found in their claim that Logan is a knave or Logan is a knight.", "Logan cannot be a knight, because this would contradict the claim of their own that Charlotte is a knight.", "Assume Logan is a knave. No contradiction is found in their false claim that Charlotte is a knight.", "Lucas cannot be a knight, because this would contradict the claim of their own that Logan is a knight if and only if Charlotte is a knave.", "Assume Lucas is a knave. No contradiction is found in their false claim that Logan is a knight if and only if Charlotte is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 3), ('telling-truth', 0)), ('or', ('lying', 4), ('telling-truth', 4)), ('<=>', ('telling-truth', 4), ('lying', 3)), ('and', ('telling-truth', 1), ('lying', 0)), ('telling-truth', 3))", "index": 271}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Lucas, Aurora, Noah, Penelope, and Benjamin. \"Aurora is a knight if and only if Penelope is a knight,\" Lucas mentioned. In a statement by Aurora: \"Aurora is a knight and Penelope is a knight\". Noah said that Lucas is a knight or Penelope is a knight. In a statement by Penelope: \"Lucas is a knave if and only if Lucas is a knight\". Benjamin was heard saying, \"Lucas is a knight and Noah is a knave\". So who is a knight and who is a knave?", "names": ["Lucas", "Aurora", "Noah", "Penelope", "Benjamin"], "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": "Lucas is a knight, Aurora is a knave, Noah is a knight, Penelope is a knave, and Benjamin is a knave.", "solution_text_format": "(1) Lucas is a knight\n(2) Aurora is a knave\n(3) Noah is a knight\n(4) Penelope is a knave\n(5) Benjamin is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Lucas is a knight. No contradiction is found in their claim that Aurora is a knight if and only if Penelope is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that Aurora is a knight and Penelope is a knight.", "Penelope cannot be a knight, because this would contradict the claim of their own that Lucas is a knave if and only if Lucas is a knight.", "Penelope cannot be a knave, because this would contradict the claim of Lucas that Aurora is a knight if and only if Penelope is a knight.", "We have exhausted all possibilities for Penelope, so let us go back and reconsider Aurora.", "Assume Aurora is a knave. No contradiction is found in their false claim that Aurora is a knight and Penelope is a knight.", "Penelope cannot be a knight, because this would contradict the claim of Lucas that Aurora is a knight if and only if Penelope is a knight.", "Assume Penelope is a knave. No contradiction is found in their false claim that Lucas is a knave if and only if Lucas is a knight.", "Assume Noah is a knight. No contradiction is found in their claim that Lucas is a knight or Penelope is a knight.", "Benjamin cannot be a knight, because this would contradict the claim of their own that Lucas is a knight and Noah is a knave.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Lucas is a knight and Noah is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('telling-truth', 3)), ('and', ('telling-truth', 1), ('telling-truth', 3)), ('or', ('telling-truth', 0), ('telling-truth', 3)), ('<=>', ('lying', 0), ('telling-truth', 0)), ('and', ('telling-truth', 0), ('lying', 2)))", "index": 272}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Chloe, Riley, Logan, Avery, and Evelyn. As Chloe put it, \"Evelyn is a knight if and only if Riley is a knight\". As Riley put it, \"Logan is a knight or Evelyn is a knave\". In Logan's words: \"Logan is a knight if and only if Avery is a knave\". Avery commented, \"Riley is a knight and Logan is a knight\". Evelyn said, \"If Logan is a knight then Avery is a knight.\" So who is a knight and who is a knave?", "names": ["Chloe", "Riley", "Logan", "Avery", "Evelyn"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, false, true], "solution_text": "Chloe is a knave, Riley is a knave, Logan is a knave, Avery is a knave, and Evelyn is a knight.", "solution_text_format": "(1) Chloe is a knave\n(2) Riley is a knave\n(3) Logan is a knave\n(4) Avery is a knave\n(5) Evelyn is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Chloe is a knight. No contradiction is found in their claim that Evelyn is a knight if and only if Riley is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that If Logan is a knight then Avery is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that Logan is a knight if and only if Avery is a knave.", "Avery cannot be a knight, because this would contradict the claim of Logan that Logan is a knight if and only if Avery is a knave.", "Avery cannot be a knave, because this would contradict the claim of Evelyn that If Logan is a knight then Avery is a knight.", "We have exhausted all possibilities for Avery, so let us go back and reconsider Logan.", "Assume Logan is a knave. No contradiction is found in their false claim that Logan is a knight if and only if Avery is a knave.", "Avery cannot be a knight, because this would contradict the false claim of Logan that Logan is a knight if and only if Avery is a knave.", "Assume Avery is a knave. No contradiction is found in their false claim that Riley is a knight and Logan is a knight.", "Riley cannot be a knight, because this would contradict the claim of their own that Logan is a knight or Evelyn is a knave.", "Riley cannot be a knave, because this would contradict the claim of Chloe that Evelyn is a knight if and only if Riley is a knight.", "We have exhausted all possibilities for Riley, Avery, and Logan, so let us go back and reconsider Evelyn.", "Assume Evelyn is a knave. No contradiction is found in their false claim that If Logan is a knight then Avery is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that Logan is a knight if and only if Avery is a knave.", "Avery cannot be a knight, because this would contradict the claim of Logan that Logan is a knight if and only if Avery is a knave.", "Assume Avery is a knave. No contradiction is found in their false claim that Riley is a knight and Logan is a knight.", "Riley cannot be a knight, because this would contradict the claim of Chloe that Evelyn is a knight if and only if Riley is a knight.", "Riley cannot be a knave, because this would contradict the false claim of their own that Logan is a knight or Evelyn is a knave.", "We have exhausted all possibilities for Riley and Avery, so let us go back and reconsider Logan.", "Logan cannot be a knave, because this would contradict the false claim of Evelyn that If Logan is a knight then Avery is a knight.", "We have exhausted all possibilities for Logan and Evelyn, so let us go back and reconsider Chloe.", "Assume Chloe is a knave. No contradiction is found in their false claim that Evelyn is a knight if and only if Riley is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that If Logan is a knight then Avery is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that Logan is a knight if and only if Avery is a knave.", "Avery cannot be a knight, because this would contradict the claim of Logan that Logan is a knight if and only if Avery is a knave.", "Avery cannot be a knave, because this would contradict the claim of Evelyn that If Logan is a knight then Avery is a knight.", "We have exhausted all possibilities for Avery, so let us go back and reconsider Logan.", "Assume Logan is a knave. No contradiction is found in their false claim that Logan is a knight if and only if Avery is a knave.", "Avery cannot be a knight, because this would contradict the false claim of Logan that Logan is a knight if and only if Avery is a knave.", "Assume Avery is a knave. No contradiction is found in their false claim that Riley is a knight and Logan is a knight.", "Riley cannot be a knight, because this would contradict the false claim of Chloe that Evelyn is a knight if and only if Riley is a knight.", "Assume Riley is a knave. No contradiction is found in their false claim that Logan is a knight or Evelyn is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 4), ('telling-truth', 1)), ('or', ('telling-truth', 2), ('lying', 4)), ('<=>', ('telling-truth', 2), ('lying', 3)), ('and', ('telling-truth', 1), ('telling-truth', 2)), ('->', ('telling-truth', 2), ('telling-truth', 3)))", "index": 273}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Elizabeth, Emma, William, Sebastian, and Harper. \"Emma is a knave and Harper is a knave,\" Elizabeth claimed. \"Elizabeth is a knight and William is a knave,\" Emma mentioned. William expressed that Elizabeth is a knight. Sebastian remarked, \"Emma is not a knight\". Harper said, \"If Elizabeth is a knave then Sebastian is a knight.\" So who is a knight and who is a knave?", "names": ["Elizabeth", "Emma", "William", "Sebastian", "Harper"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true, true], "solution_text": "Elizabeth is a knave, Emma is a knave, William is a knave, Sebastian is a knight, and Harper is a knight.", "solution_text_format": "(1) Elizabeth is a knave\n(2) Emma is a knave\n(3) William is a knave\n(4) Sebastian 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 Elizabeth is a knight. No contradiction is found in their claim that Emma is a knave and Harper is a knave.", "Emma cannot be a knight, because this would contradict the claim of Elizabeth that Emma is a knave and Harper is a knave.", "Assume Emma is a knave. No contradiction is found in their false claim that Elizabeth is a knight and William is a knave.", "Assume William is a knight. No contradiction is found in their claim that Elizabeth is a knight.", "Harper cannot be a knight, because this would contradict the claim of Elizabeth that Emma is a knave and Harper is a knave.", "Harper cannot be a knave, because this would contradict the false claim of their own that If Elizabeth is a knave then Sebastian is a knight.", "We have exhausted all possibilities for Harper, so let us go back and reconsider William.", "William cannot be a knave, because this would contradict the false claim of Emma that Elizabeth is a knight and William is a knave.", "We have exhausted all possibilities for William and Emma, so let us go back and reconsider Elizabeth.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Emma is a knave and Harper is a knave.", "Emma cannot be a knight, because this would contradict the claim of their own that Elizabeth is a knight and William is a knave.", "Assume Emma is a knave. No contradiction is found in their false claim that Elizabeth is a knight and William is a knave.", "William cannot be a knight, because this would contradict the claim of their own that Elizabeth is a knight.", "Assume William is a knave. No contradiction is found in their false claim that Elizabeth is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that If Elizabeth is a knave then Sebastian is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Emma is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('lying', 4)), ('and', ('telling-truth', 0), ('lying', 2)), ('telling-truth', 0), ('not', ('telling-truth', 1)), ('->', ('lying', 0), ('telling-truth', 3)))", "index": 274}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Jackson, Amelia, Ava, William, and Jack. Jackson said, \"If Ava is a knave then Jack is a knight.\" \"Jack is not a knave,\" Amelia declared. Ava noted, \"If Jack is a knight then Ava is a knight\". William expressed that Jack is a knave or Jackson is a knight. In a statement by Jack: \"If William is a knight then William is a knave\". So who is a knight and who is a knave?", "names": ["Jackson", "Amelia", "Ava", "William", "Jack"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, false], "solution_text": "Jackson is a knight, Amelia is a knave, Ava is a knight, William is a knight, and Jack is a knave.", "solution_text_format": "(1) Jackson is a knight\n(2) Amelia is a knave\n(3) Ava is a knight\n(4) William is a knight\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 Jackson is a knight. No contradiction is found in their claim that If Ava is a knave then Jack is a knight.", "Assume Ava is a knight. No contradiction is found in their claim that If Jack is a knight then Ava is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that If William is a knight then William is a knave.", "William cannot be a knight, because this would contradict the claim of Jack that If William is a knight then William is a knave.", "William cannot be a knave, because this would contradict the false claim of their own that Jack is a knave or Jackson is a knight.", "We have exhausted all possibilities for William, so let us go back and reconsider Jack.", "Assume Jack is a knave. No contradiction is found in their false claim that If William is a knight then William is a knave.", "Assume William is a knight. No contradiction is found in their claim that Jack is a knave or Jackson is a knight.", "Amelia cannot be a knight, because this would contradict the claim of their own that Jack is not a knave.", "Assume Amelia is a knave. No contradiction is found in their false claim that Jack is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 2), ('telling-truth', 4)), ('not', ('lying', 4)), ('->', ('telling-truth', 4), ('telling-truth', 2)), ('or', ('lying', 4), ('telling-truth', 0)), ('->', ('telling-truth', 3), ('lying', 3)))", "index": 275}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Ella, Aurora, Elizabeth, Evelyn, and Riley. \"Elizabeth is not a knight,\" Ella declared. \"Riley is a knave or Ella is a knave,\" Aurora declared. \"Aurora is a knave and Riley is a knight\" - Elizabeth. Evelyn noted, \"Elizabeth is not a knave\". Riley said that If Aurora is a knight then Ella is a knave. So who is a knight and who is a knave?", "names": ["Ella", "Aurora", "Elizabeth", "Evelyn", "Riley"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false, false], "solution_text": "Ella is a knight, Aurora is a knight, Elizabeth is a knave, Evelyn is a knave, and Riley is a knave.", "solution_text_format": "(1) Ella is a knight\n(2) Aurora is a knight\n(3) Elizabeth is a knave\n(4) Evelyn 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 Ella 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 Ella that Elizabeth is not a knight.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Aurora is a knave and Riley is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that Riley is a knave or Ella is a knave.", "Riley cannot be a knight, because this would contradict the claim of Aurora that Riley is a knave or Ella is a knave.", "Assume Riley is a knave. No contradiction is found in their false claim that If Aurora is a knight then Ella is a knave.", "Evelyn cannot be a knight, because this would contradict the claim of their own that Elizabeth is not a knave.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Elizabeth is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 2)), ('or', ('lying', 4), ('lying', 0)), ('and', ('lying', 1), ('telling-truth', 4)), ('not', ('lying', 2)), ('->', ('telling-truth', 1), ('lying', 0)))", "index": 276}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Mason, Ava, William, Luke, and Jacob. Mason remarked, \"William is not a knave\". According to Ava, \"Jacob is a knave\". In a statement by William: \"Jacob is a knight if and only if William is a knight\". According to Luke, \"William is a knight\". \"Mason is a knave,\" Jacob claimed. So who is a knight and who is a knave?", "names": ["Mason", "Ava", "William", "Luke", "Jacob"], "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": "Mason is a knave, Ava is a knave, William is a knave, Luke is a knave, and Jacob is a knight.", "solution_text_format": "(1) Mason is a knave\n(2) Ava is a knave\n(3) William is a knave\n(4) Luke is a knave\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 Mason is a knight. No contradiction is found in their claim that William is not a knave.", "Assume William is a knight. No contradiction is found in their claim that Jacob is a knight if and only if William is a knight.", "Jacob cannot be a knight, because this would contradict the claim of their own that Mason is a knave.", "Jacob cannot be a knave, because this would contradict the claim of William that Jacob is a knight if and only if William is a knight.", "We have exhausted all possibilities for Jacob, so let us go back and reconsider William.", "William cannot be a knave, because this would contradict the claim of Mason that William is not a knave.", "We have exhausted all possibilities for William, so let us go back and reconsider Mason.", "Assume Mason is a knave. No contradiction is found in their false claim that William is not a knave.", "William cannot be a knight, because this would contradict the false claim of Mason that William is not a knave.", "Assume William is a knave. No contradiction is found in their false claim that Jacob is a knight if and only if William is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that Mason is a knave.", "Ava cannot be a knight, because this would contradict the claim of their own that Jacob is a knave.", "Assume Ava is a knave. No contradiction is found in their false claim that Jacob is a knave.", "Luke cannot be a knight, because this would contradict the claim of their own that William is a knight.", "Assume Luke is a knave. No contradiction is found in their false claim that William is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 2)), ('lying', 4), ('<=>', ('telling-truth', 4), ('telling-truth', 2)), ('telling-truth', 2), ('lying', 0))", "index": 277}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Joseph, Jackson, Benjamin, Samuel, and Abigail. In Joseph's words: \"Samuel is a knave and Jackson is a knight\". According to Jackson, \"Jackson is a knight if and only if Joseph is a knave\". Benjamin noted, \"If Samuel is a knight then Jackson is a knight\". Samuel said, \"Jackson is a knight and Benjamin is a knave.\" Abigail told you that Benjamin is not a knight. So who is a knight and who is a knave?", "names": ["Joseph", "Jackson", "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, false], "solution_text": "Joseph is a knave, Jackson is a knave, Benjamin is a knight, Samuel is a knave, and Abigail is a knave.", "solution_text_format": "(1) Joseph is a knave\n(2) Jackson is a knave\n(3) Benjamin is a knight\n(4) Samuel is a knave\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 Joseph is a knight. No contradiction is found in their claim that Samuel is a knave and Jackson is a knight.", "Samuel cannot be a knight, because this would contradict the claim of Joseph that Samuel is a knave and Jackson is a knight.", "Assume Samuel is a knave. No contradiction is found in their false claim that Jackson is a knight and Benjamin is a knave.", "Jackson cannot be a knight, because this would contradict the claim of their own that Jackson is a knight if and only if Joseph is a knave.", "Jackson cannot be a knave, because this would contradict the claim of Joseph that Samuel is a knave and Jackson is a knight.", "We have exhausted all possibilities for Jackson and Samuel, so let us go back and reconsider Joseph.", "Assume Joseph is a knave. No contradiction is found in their false claim that Samuel is a knave and Jackson is a knight.", "Assume Samuel is a knight. No contradiction is found in their claim that Jackson is a knight and Benjamin is a knave.", "Assume Jackson is a knight. No contradiction is found in their claim that Jackson is a knight if and only if Joseph is a knave.", "Benjamin cannot be a knight, because this would contradict the claim of Samuel that Jackson is a knight and Benjamin is a knave.", "Benjamin cannot be a knave, because this would contradict the false claim of their own that If Samuel is a knight then Jackson is a knight.", "We have exhausted all possibilities for Benjamin, so let us go back and reconsider Jackson.", "Jackson cannot be a knave, because this would contradict the claim of Samuel that Jackson is a knight and Benjamin is a knave.", "We have exhausted all possibilities for Jackson, so let us go back and reconsider Samuel.", "Assume Samuel is a knave. No contradiction is found in their false claim that Jackson is a knight and Benjamin is a knave.", "Jackson cannot be a knight, because this would contradict the false claim of Joseph that Samuel is a knave and Jackson is a knight.", "Assume Jackson is a knave. No contradiction is found in their false claim that Jackson is a knight if and only if Joseph is a knave.", "Assume Benjamin is a knight. No contradiction is found in their claim that If Samuel is a knight then Jackson is a knight.", "Abigail cannot be a knight, because this would contradict the claim of their own that Benjamin is not a knight.", "Assume Abigail is a knave. No contradiction is found in their false claim that Benjamin is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 3), ('telling-truth', 1)), ('<=>', ('telling-truth', 1), ('lying', 0)), ('->', ('telling-truth', 3), ('telling-truth', 1)), ('and', ('telling-truth', 1), ('lying', 2)), ('not', ('telling-truth', 2)))", "index": 278}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: William, Ella, Jackson, Henry, and Aurora. \"Jackson is a knave,\" William claimed. In a statement by Ella: \"Henry is not a knight\". Jackson remarked, \"Aurora is a knight and Ella is a knight\". Henry noted, \"William is a knight if and only if Ella is a knight\". Aurora commented, \"Henry is a knave or Jackson is a knave\". So who is a knight and who is a knave?", "names": ["William", "Ella", "Jackson", "Henry", "Aurora"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false, true], "solution_text": "William is a knave, Ella is a knight, Jackson is a knight, Henry is a knave, and Aurora is a knight.", "solution_text_format": "(1) William is a knave\n(2) Ella is a knight\n(3) Jackson is a knight\n(4) Henry 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 William is a knight. No contradiction is found in their claim that Jackson is a knave.", "Jackson cannot be a knight, because this would contradict the claim of William that Jackson is a knave.", "Assume Jackson is a knave. No contradiction is found in their false claim that Aurora is a knight and Ella is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that Henry is a knave or Jackson is a knave.", "Assume Henry is a knight. No contradiction is found in their claim that William is a knight if and only if Ella is a knight.", "Ella cannot be a knight, because this would contradict the claim of their own that Henry is not a knight.", "Ella cannot be a knave, because this would contradict the claim of Henry that William is a knight if and only if Ella is a knight.", "We have exhausted all possibilities for Ella, so let us go back and reconsider Henry.", "Assume Henry is a knave. No contradiction is found in their false claim that William is a knight if and only if Ella is a knight.", "Ella cannot be a knight, because this would contradict the false claim of Jackson that Aurora is a knight and Ella is a knight.", "Ella cannot be a knave, because this would contradict the false claim of their own that Henry is not a knight.", "We have exhausted all possibilities for Ella and Henry, so let us go back and reconsider Aurora.", "Aurora cannot be a knave, because this would contradict the false claim of their own that Henry is a knave or Jackson is a knave.", "We have exhausted all possibilities for Aurora and Jackson, so let us go back and reconsider William.", "Assume William is a knave. No contradiction is found in their false claim that Jackson is a knave.", "Assume Jackson is a knight. No contradiction is found in their claim that Aurora is a knight and Ella is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that Henry is a knave or Jackson is a knave.", "Henry cannot be a knight, because this would contradict the claim of Aurora that Henry is a knave or Jackson is a knave.", "Assume Henry is a knave. No contradiction is found in their false claim that William is a knight if and only if Ella is a knight.", "Assume Ella is a knight. No contradiction is found in their claim that Henry is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 2), ('not', ('telling-truth', 3)), ('and', ('telling-truth', 4), ('telling-truth', 1)), ('<=>', ('telling-truth', 0), ('telling-truth', 1)), ('or', ('lying', 3), ('lying', 2)))", "index": 279}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Henry, Jacob, Jackson, Charlotte, and Lily. Henry expressed that Jacob is a knight. In Jacob's words: \"If Lily is a knight then Jackson is a knave\". In Jackson's words: \"Charlotte is a knave if and only if Jackson is a knight\". According to Charlotte, \"If Jackson is a knave then Jacob is a knave\". Lily told you that Henry is a knave. So who is a knight and who is a knave?", "names": ["Henry", "Jacob", "Jackson", "Charlotte", "Lily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false, false], "solution_text": "Henry is a knight, Jacob is a knight, Jackson is a knave, Charlotte is a knave, and Lily is a knave.", "solution_text_format": "(1) Henry is a knight\n(2) Jacob is a knight\n(3) Jackson 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 Henry is a knight. No contradiction is found in their claim that Jacob is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that If Lily is a knight then Jackson is a knave.", "Lily cannot be a knight, because this would contradict the claim of their own that Henry is a knave.", "Assume Lily is a knave. No contradiction is found in their false claim that Henry is a knave.", "Assume Jackson is a knight. No contradiction is found in their claim that Charlotte is a knave if and only if Jackson is a knight.", "Charlotte cannot be a knight, because this would contradict the claim of Jackson that Charlotte is a knave if and only if Jackson is a knight.", "Charlotte cannot be a knave, because this would contradict the false claim of their own that If Jackson is a knave then Jacob is a knave.", "We have exhausted all possibilities for Charlotte, so let us go back and reconsider Jackson.", "Assume Jackson is a knave. No contradiction is found in their false claim that Charlotte is a knave if and only if Jackson is a knight.", "Charlotte cannot be a knight, because this would contradict the false claim of Jackson that Charlotte is a knave if and only if Jackson is a knight.", "Assume Charlotte is a knave. No contradiction is found in their false claim that If Jackson is a knave then Jacob is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 1), ('->', ('telling-truth', 4), ('lying', 2)), ('<=>', ('lying', 3), ('telling-truth', 2)), ('->', ('lying', 2), ('lying', 1)), ('lying', 0))", "index": 280}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Emma, Daniel, Ella, Joseph, and Logan. Emma noted, \"If Ella is a knight then Ella is a knave\". \"Ella is a knight and Ella is a knave,\" Daniel claimed. \"Emma is a knave and Emma is a knight,\" Ella declared. Joseph told you that If Emma is a knight then Logan is a knight. According to Logan, \"Emma is not a knight\". So who is a knight and who is a knave?", "names": ["Emma", "Daniel", "Ella", "Joseph", "Logan"], "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, Daniel is a knave, Ella is a knave, Joseph is a knave, and Logan is a knave.", "solution_text_format": "(1) Emma is a knight\n(2) Daniel is a knave\n(3) Ella is a knave\n(4) Joseph is a knave\n(5) Logan is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Emma is a knight. No contradiction is found in their claim that If Ella is a knight then Ella is a knave.", "Ella cannot be a knight, because this would contradict the claim of Emma that If Ella is a knight then Ella is a knave.", "Assume Ella is a knave. No contradiction is found in their false claim that Emma is a knave and Emma is a knight.", "Daniel cannot be a knight, because this would contradict the claim of their own that Ella is a knight and Ella is a knave.", "Assume Daniel is a knave. No contradiction is found in their false claim that Ella is a knight and Ella is a knave.", "Assume Joseph is a knight. No contradiction is found in their claim that If Emma is a knight then Logan is a knight.", "Logan cannot be a knight, because this would contradict the claim of their own that Emma is not a knight.", "Logan cannot be a knave, because this would contradict the claim of Joseph that If Emma is a knight then Logan is a knight.", "We have exhausted all possibilities for Logan, so let us go back and reconsider Joseph.", "Assume Joseph is a knave. No contradiction is found in their false claim that If Emma is a knight then Logan is a knight.", "Logan cannot be a knight, because this would contradict the false claim of Joseph that If Emma is a knight then Logan is a knight.", "Assume Logan is a knave. No contradiction is found in their false claim that Emma is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 2), ('lying', 2)), ('and', ('telling-truth', 2), ('lying', 2)), ('and', ('lying', 0), ('telling-truth', 0)), ('->', ('telling-truth', 0), ('telling-truth', 4)), ('not', ('telling-truth', 0)))", "index": 281}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Sophia, Abigail, Samuel, Jacob, and Grace. In a statement by Sophia: \"Abigail is a knave if and only if Abigail is a knight\". As Abigail put it, \"If Samuel is a knight then Grace is a knight\". \"Abigail is a knave and Sophia is a knight\" - Samuel. Jacob remarked, \"If Abigail is a knight then Sophia is a knight\". As Grace put it, \"Abigail is a knave if and only if Sophia is a knight\". So who is a knight and who is a knave?", "names": ["Sophia", "Abigail", "Samuel", "Jacob", "Grace"], "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": "Sophia is a knave, Abigail is a knight, Samuel is a knave, Jacob is a knave, and Grace is a knight.", "solution_text_format": "(1) Sophia is a knave\n(2) Abigail is a knight\n(3) Samuel is a knave\n(4) Jacob is a knave\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": ["Sophia cannot be a knight, because this would contradict the claim of their own that Abigail is a knave if and only if Abigail is a knight.", "Assume Sophia is a knave. No contradiction is found in their false claim that Abigail is a knave if and only if Abigail is a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that If Samuel is a knight then Grace is a knight.", "Samuel cannot be a knight, because this would contradict the claim of their own that Abigail is a knave and Sophia is a knight.", "Assume Samuel is a knave. No contradiction is found in their false claim that Abigail is a knave and Sophia is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that Abigail is a knave if and only if Sophia is a knight.", "Jacob cannot be a knight, because this would contradict the claim of their own that If Abigail is a knight then Sophia is a knight.", "Assume Jacob is a knave. No contradiction is found in their false claim that If Abigail is a knight then Sophia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('telling-truth', 1)), ('->', ('telling-truth', 2), ('telling-truth', 4)), ('and', ('lying', 1), ('telling-truth', 0)), ('->', ('telling-truth', 1), ('telling-truth', 0)), ('<=>', ('lying', 1), ('telling-truth', 0)))", "index": 282}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: James, Scarlett, Luke, Ella, and Jacob. James asserted: \"Scarlett is a knave\". \"Luke is a knave,\" Scarlett mentioned. Luke said, \"Ella is a knave and Scarlett is a knight.\" Ella noted, \"If James is a knave then Jacob is a knight\". Jacob remarked, \"Luke is a knave if and only if James is a knave\". So who is a knight and who is a knave?", "names": ["James", "Scarlett", "Luke", "Ella", "Jacob"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true, true], "solution_text": "James is a knave, Scarlett is a knight, Luke is a knave, Ella is a knight, and Jacob is a knight.", "solution_text_format": "(1) James is a knave\n(2) Scarlett is a knight\n(3) Luke is a knave\n(4) Ella 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 James is a knight. No contradiction is found in their claim that Scarlett is a knave.", "Scarlett cannot be a knight, because this would contradict the claim of James that Scarlett is a knave.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Luke is a knave.", "Luke cannot be a knight, because this would contradict the claim of their own that Ella is a knave and Scarlett is a knight.", "Luke cannot be a knave, because this would contradict the false claim of Scarlett that Luke is a knave.", "We have exhausted all possibilities for Luke and Scarlett, so let us go back and reconsider James.", "Assume James is a knave. No contradiction is found in their false claim that Scarlett is a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that Luke is a knave.", "Luke cannot be a knight, because this would contradict the claim of Scarlett that Luke is a knave.", "Assume Luke is a knave. No contradiction is found in their false claim that Ella is a knave and Scarlett is a knight.", "Assume Ella is a knight. No contradiction is found in their claim that If James is a knave then Jacob is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that Luke is a knave if and only if James is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('lying', 2), ('and', ('lying', 3), ('telling-truth', 1)), ('->', ('lying', 0), ('telling-truth', 4)), ('<=>', ('lying', 2), ('lying', 0)))", "index": 283}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Ethan, Lucas, Avery, Harper, and Mia. Ethan remarked, \"Lucas is a knight and Harper is a knight\". Lucas was heard saying, \"Avery is a knave and Mia is a knight\". Avery asserted: \"Ethan is a knight if and only if Lucas is a knight\". Harper remarked, \"Mia is a knight or Avery is a knight\". In a statement by Mia: \"Ethan is a knave or Lucas is a knave\". So who is a knight and who is a knave?", "names": ["Ethan", "Lucas", "Avery", "Harper", "Mia"], "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": "Ethan is a knave, Lucas is a knave, Avery is a knight, Harper is a knight, and Mia is a knight.", "solution_text_format": "(1) Ethan is a knave\n(2) Lucas is a knave\n(3) Avery is a knight\n(4) Harper is a knight\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 Ethan is a knight. No contradiction is found in their claim that Lucas is a knight and Harper is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that Avery is a knave and Mia is a knight.", "Avery cannot be a knight, because this would contradict the claim of Lucas that Avery is a knave and Mia is a knight.", "Avery cannot be a knave, because this would contradict the false claim of their own that Ethan is a knight if and only if Lucas is a knight.", "We have exhausted all possibilities for Avery, so let us go back and reconsider Lucas.", "Lucas cannot be a knave, because this would contradict the claim of Ethan that Lucas is a knight and Harper is a knight.", "We have exhausted all possibilities for Lucas, so let us go back and reconsider Ethan.", "Assume Ethan is a knave. No contradiction is found in their false claim that Lucas is a knight and Harper is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that Avery is a knave and Mia is a knight.", "Avery cannot be a knight, because this would contradict the claim of Lucas that Avery is a knave and Mia is a knight.", "Assume Avery is a knave. No contradiction is found in their false claim that Ethan is a knight if and only if Lucas is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that Ethan is a knave or Lucas is a knave.", "Harper cannot be a knight, because this would contradict the false claim of Ethan that Lucas is a knight and Harper is a knight.", "Harper cannot be a knave, because this would contradict the false claim of their own that Mia is a knight or Avery is a knight.", "We have exhausted all possibilities for Harper, so let us go back and reconsider Mia.", "Mia cannot be a knave, because this would contradict the claim of Lucas that Avery is a knave and Mia is a knight.", "We have exhausted all possibilities for Mia and Avery, so let us go back and reconsider Lucas.", "Assume Lucas is a knave. No contradiction is found in their false claim that Avery is a knave and Mia is a knight.", "Assume Avery is a knight. No contradiction is found in their claim that Ethan is a knight if and only if Lucas is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that Ethan is a knave or Lucas is a knave.", "Assume Harper is a knight. No contradiction is found in their claim that Mia is a knight or Avery is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('telling-truth', 3)), ('and', ('lying', 2), ('telling-truth', 4)), ('<=>', ('telling-truth', 0), ('telling-truth', 1)), ('or', ('telling-truth', 4), ('telling-truth', 2)), ('or', ('lying', 0), ('lying', 1)))", "index": 284}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Matthew, Isabella, Emma, Abigail, and Henry. Matthew said that If Isabella is a knave then Emma is a knave. Isabella said, \"Henry is a knight if and only if Abigail is a knave.\" Emma said that Abigail is a knave if and only if Isabella is a knave. Abigail asserted: \"Matthew is not a knave\". According to Henry, \"If Henry is a knight then Abigail is a knight\". So who is a knight and who is a knave?", "names": ["Matthew", "Isabella", "Emma", "Abigail", "Henry"], "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": "Matthew is a knight, Isabella is a knave, Emma is a knave, Abigail is a knight, and Henry is a knight.", "solution_text_format": "(1) Matthew is a knight\n(2) Isabella is a knave\n(3) Emma is a knave\n(4) Abigail is a knight\n(5) Henry is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Matthew is a knight. No contradiction is found in their claim that If Isabella is a knave then Emma is a knave.", "Assume Isabella is a knight. No contradiction is found in their claim that Henry is a knight if and only if Abigail is a knave.", "Assume Henry is a knight. No contradiction is found in their claim that If Henry is a knight then Abigail is a knight.", "Abigail cannot be a knight, because this would contradict the claim of Isabella that Henry is a knight if and only if Abigail is a knave.", "Abigail cannot be a knave, because this would contradict the false claim of their own that Matthew is not a knave.", "We have exhausted all possibilities for Abigail, so let us go back and reconsider Henry.", "Henry cannot be a knave, because this would contradict the false claim of their own that If Henry is a knight then Abigail is a knight.", "We have exhausted all possibilities for Henry, so let us go back and reconsider Isabella.", "Assume Isabella is a knave. No contradiction is found in their false claim that Henry is a knight if and only if Abigail is a knave.", "Assume Henry is a knight. No contradiction is found in their claim that If Henry is a knight then Abigail is a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that Matthew is not a knave.", "Emma cannot be a knight, because this would contradict the claim of Matthew that If Isabella is a knave then Emma is a knave.", "Assume Emma is a knave. No contradiction is found in their false claim that Abigail is a knave if and only if Isabella is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 1), ('lying', 2)), ('<=>', ('telling-truth', 4), ('lying', 3)), ('<=>', ('lying', 3), ('lying', 1)), ('not', ('lying', 0)), ('->', ('telling-truth', 4), ('telling-truth', 3)))", "index": 285}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Penelope, Ava, Grace, Olivia, and Amelia. \"Ava is a knight if and only if Grace is a knight,\" Penelope declared. Ava said that Amelia is a knight if and only if Amelia is a knave. \"If Olivia is a knight then Amelia is a knight,\" Grace mentioned. In Olivia's words: \"Grace is a knight or Olivia is a knight\". Amelia said, \"Olivia is a knave if and only if Ava is a knave.\" So who is a knight and who is a knave?", "names": ["Penelope", "Ava", "Grace", "Olivia", "Amelia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, false], "solution_text": "Penelope is a knight, Ava is a knave, Grace is a knave, Olivia is a knight, and Amelia is a knave.", "solution_text_format": "(1) Penelope is a knight\n(2) Ava is a knave\n(3) Grace is a knave\n(4) Olivia is a knight\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 Penelope is a knight. No contradiction is found in their claim that Ava is a knight if and only if Grace is a knight.", "Ava cannot be a knight, because this would contradict the claim of their own that Amelia is a knight if and only if Amelia is a knave.", "Assume Ava is a knave. No contradiction is found in their false claim that Amelia is a knight if and only if Amelia is a knave.", "Assume Amelia is a knight. No contradiction is found in their claim that Olivia is a knave if and only if Ava is a knave.", "Olivia cannot be a knight, because this would contradict the claim of Amelia that Olivia is a knave if and only if Ava is a knave.", "Assume Olivia is a knave. No contradiction is found in their false claim that Grace is a knight or Olivia is a knight.", "Grace cannot be a knight, because this would contradict the claim of Penelope that Ava is a knight if and only if Grace is a knight.", "Grace cannot be a knave, because this would contradict the false claim of their own that If Olivia is a knight then Amelia is a knight.", "We have exhausted all possibilities for Grace and Olivia, so let us go back and reconsider Amelia.", "Assume Amelia is a knave. No contradiction is found in their false claim that Olivia is a knave if and only if Ava is a knave.", "Assume Olivia is a knight. No contradiction is found in their claim that Grace is a knight or Olivia is a knight.", "Grace cannot be a knight, because this would contradict the claim of Penelope that Ava is a knight if and only if Grace is a knight.", "Assume Grace is a knave. No contradiction is found in their false claim that If Olivia is a knight then Amelia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('telling-truth', 2)), ('<=>', ('telling-truth', 4), ('lying', 4)), ('->', ('telling-truth', 3), ('telling-truth', 4)), ('or', ('telling-truth', 2), ('telling-truth', 3)), ('<=>', ('lying', 3), ('lying', 1)))", "index": 286}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Ava, Harper, Emily, Abigail, and Sebastian. Ava was heard saying, \"Harper is a knave and Abigail is a knight\". As Harper put it, \"Harper is a knight\". Emily asserted: \"Abigail is a knave if and only if Harper is a knight\". \"If Emily is a knave then Harper is a knave,\" Abigail declared. Sebastian said that Emily is a knight. So who is a knight and who is a knave?", "names": ["Ava", "Harper", "Emily", "Abigail", "Sebastian"], "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": "Ava is a knight, Harper is a knave, Emily is a knight, Abigail is a knight, and Sebastian is a knight.", "solution_text_format": "(1) Ava is a knight\n(2) Harper is a knave\n(3) Emily is a knight\n(4) Abigail is a knight\n(5) Sebastian is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ava is a knight. No contradiction is found in their claim that Harper is a knave and Abigail is a knight.", "Harper cannot be a knight, because this would contradict the claim of Ava that Harper is a knave and Abigail is a knight.", "Assume Harper is a knave. No contradiction is found in their false claim that Harper is a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that If Emily is a knave then Harper is a knave.", "Assume Emily is a knight. No contradiction is found in their claim that Abigail is a knave if and only if Harper is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Emily is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('telling-truth', 3)), ('telling-truth', 1), ('<=>', ('lying', 3), ('telling-truth', 1)), ('->', ('lying', 2), ('lying', 1)), ('telling-truth', 2))", "index": 287}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Avery, Grace, Scarlett, Michael, and Elizabeth. In Avery's words: \"Grace is a knight if and only if Elizabeth is a knave\". As Grace put it, \"Michael is a knave if and only if Scarlett is a knave\". \"Scarlett is a knight or Elizabeth is a knave\" - Scarlett. Michael stated, \"Grace is a knave and Scarlett is a knight\". Elizabeth was heard saying, \"Avery is a knave\". So who is a knight and who is a knave?", "names": ["Avery", "Grace", "Scarlett", "Michael", "Elizabeth"], "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": "Avery is a knave, Grace is a knight, Scarlett is a knave, Michael is a knave, and Elizabeth is a knight.", "solution_text_format": "(1) Avery is a knave\n(2) Grace is a knight\n(3) Scarlett is a knave\n(4) Michael is a knave\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 Avery is a knight. No contradiction is found in their claim that Grace is a knight if and only if Elizabeth is a knave.", "Assume Grace is a knight. No contradiction is found in their claim that Michael is a knave if and only if Scarlett is a knave.", "Michael cannot be a knight, because this would contradict the claim of their own that Grace is a knave and Scarlett is a knight.", "Assume Michael is a knave. No contradiction is found in their false claim that Grace is a knave and Scarlett is a knight.", "Scarlett cannot be a knight, because this would contradict the claim of Grace that Michael is a knave if and only if Scarlett is a knave.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Scarlett is a knight or Elizabeth is a knave.", "Elizabeth cannot be a knight, because this would contradict the claim of Avery that Grace is a knight if and only if Elizabeth is a knave.", "Elizabeth cannot be a knave, because this would contradict the false claim of Scarlett that Scarlett is a knight or Elizabeth is a knave.", "We have exhausted all possibilities for Elizabeth, Scarlett, and Michael, so let us go back and reconsider Grace.", "Assume Grace is a knave. No contradiction is found in their false claim that Michael is a knave if and only if Scarlett is a knave.", "Assume Michael is a knight. No contradiction is found in their claim that Grace is a knave and Scarlett is a knight.", "Scarlett cannot be a knight, because this would contradict the false claim of Grace that Michael is a knave if and only if Scarlett is a knave.", "Scarlett cannot be a knave, because this would contradict the claim of Michael that Grace is a knave and Scarlett is a knight.", "We have exhausted all possibilities for Scarlett, so let us go back and reconsider Michael.", "Assume Michael is a knave. No contradiction is found in their false claim that Grace is a knave and Scarlett is a knight.", "Scarlett cannot be a knight, because this would contradict the false claim of Michael that Grace is a knave and Scarlett is a knight.", "Scarlett cannot be a knave, because this would contradict the false claim of Grace that Michael is a knave if and only if Scarlett is a knave.", "We have exhausted all possibilities for Scarlett, Michael, and Grace, so let us go back and reconsider Avery.", "Assume Avery is a knave. No contradiction is found in their false claim that Grace is a knight if and only if Elizabeth is a knave.", "Assume Grace is a knight. No contradiction is found in their claim that Michael is a knave if and only if Scarlett is a knave.", "Michael cannot be a knight, because this would contradict the claim of their own that Grace is a knave and Scarlett is a knight.", "Assume Michael is a knave. No contradiction is found in their false claim that Grace is a knave and Scarlett is a knight.", "Scarlett cannot be a knight, because this would contradict the claim of Grace that Michael is a knave if and only if Scarlett is a knave.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Scarlett is a knight or Elizabeth is a knave.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Avery is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('lying', 4)), ('<=>', ('lying', 3), ('lying', 2)), ('or', ('telling-truth', 2), ('lying', 4)), ('and', ('lying', 1), ('telling-truth', 2)), ('lying', 0))", "index": 288}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Evelyn, Abigail, Ethan, Logan, and Sofia. Evelyn remarked, \"Logan is a knight\". Abigail remarked, \"Sofia is a knight and Evelyn is a knave\". \"Logan is a knave or Evelyn is a knave,\" Ethan declared. Logan remarked, \"Sofia is a knight if and only if Ethan is a knight\". Sofia told you that Abigail is a knight or Logan is a knave. So who is a knight and who is a knave?", "names": ["Evelyn", "Abigail", "Ethan", "Logan", "Sofia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, false], "solution_text": "Evelyn is a knight, Abigail is a knave, Ethan is a knave, Logan is a knight, and Sofia is a knave.", "solution_text_format": "(1) Evelyn is a knight\n(2) Abigail is a knave\n(3) Ethan is a knave\n(4) Logan is a knight\n(5) Sofia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Evelyn is a knight. No contradiction is found in their claim that Logan is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that Sofia is a knight if and only if Ethan is a knight.", "Assume Sofia is a knight. No contradiction is found in their claim that Abigail is a knight or Logan is a knave.", "Abigail cannot be a knight, because this would contradict the claim of their own that Sofia is a knight and Evelyn is a knave.", "Abigail cannot be a knave, because this would contradict the claim of Sofia that Abigail is a knight or Logan is a knave.", "We have exhausted all possibilities for Abigail, so let us go back and reconsider Sofia.", "Assume Sofia is a knave. No contradiction is found in their false claim that Abigail is a knight or Logan is a knave.", "Abigail cannot be a knight, because this would contradict the claim of their own that Sofia is a knight and Evelyn is a knave.", "Assume Abigail is a knave. No contradiction is found in their false claim that Sofia is a knight and Evelyn is a knave.", "Ethan cannot be a knight, because this would contradict the claim of their own that Logan is a knave or Evelyn is a knave.", "Assume Ethan is a knave. No contradiction is found in their false claim that Logan is a knave or Evelyn is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 3), ('and', ('telling-truth', 4), ('lying', 0)), ('or', ('lying', 3), ('lying', 0)), ('<=>', ('telling-truth', 4), ('telling-truth', 2)), ('or', ('telling-truth', 1), ('lying', 3)))", "index": 289}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Jacob, Jack, Lucas, Avery, and Lily. Jacob told you that Lucas is a knight or Avery is a knight. Jack asserted: \"Jack is a knight and Jacob is a knight\". According to Lucas, \"Jack is not a knight\". Avery was heard saying, \"Lucas is a knave if and only if Jacob is a knave\". Lily said that Avery is a knight if and only if Lucas is a knight. So who is a knight and who is a knave?", "names": ["Jacob", "Jack", "Lucas", "Avery", "Lily"], "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": "Jacob is a knight, Jack is a knave, Lucas is a knight, Avery is a knight, and Lily is a knight.", "solution_text_format": "(1) Jacob is a knight\n(2) Jack is a knave\n(3) Lucas is a knight\n(4) Avery 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": ["Assume Jacob is a knight. No contradiction is found in their claim that Lucas is a knight or Avery is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that Jack is not a knight.", "Jack cannot be a knight, because this would contradict the claim of Lucas that Jack is not a knight.", "Assume Jack is a knave. No contradiction is found in their false claim that Jack is a knight and Jacob is a knight.", "Assume Avery is a knight. No contradiction is found in their claim that Lucas is a knave if and only if Jacob is a knave.", "Assume Lily is a knight. No contradiction is found in their claim that Avery is a knight if and only if Lucas is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 2), ('telling-truth', 3)), ('and', ('telling-truth', 1), ('telling-truth', 0)), ('not', ('telling-truth', 1)), ('<=>', ('lying', 2), ('lying', 0)), ('<=>', ('telling-truth', 3), ('telling-truth', 2)))", "index": 290}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Amelia, Avery, Sophia, Aurora, and Noah. Amelia told you that If Amelia is a knight then Aurora is a knave. Avery said that Noah is a knight or Aurora is a knight. Sophia was heard saying, \"Sophia is a knight or Aurora is a knave\". According to Aurora, \"Avery is not a knave\". In a statement by Noah: \"Avery is a knight if and only if Amelia is a knight\". So who is a knight and who is a knave?", "names": ["Amelia", "Avery", "Sophia", "Aurora", "Noah"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false, false], "solution_text": "Amelia is a knight, Avery is a knave, Sophia is a knight, Aurora is a knave, and Noah is a knave.", "solution_text_format": "(1) Amelia is a knight\n(2) Avery is a knave\n(3) Sophia is a knight\n(4) Aurora is a knave\n(5) Noah is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Amelia is a knight. No contradiction is found in their claim that If Amelia is a knight then Aurora is a knave.", "Aurora cannot be a knight, because this would contradict the claim of Amelia that If Amelia is a knight then Aurora is a knave.", "Assume Aurora is a knave. No contradiction is found in their false claim that Avery is not a knave.", "Avery cannot be a knight, because this would contradict the false claim of Aurora that Avery is not a knave.", "Assume Avery is a knave. No contradiction is found in their false claim that Noah is a knight or Aurora is a knight.", "Noah cannot be a knight, because this would contradict the false claim of Avery that Noah is a knight or Aurora is a knight.", "Assume Noah is a knave. No contradiction is found in their false claim that Avery is a knight if and only if Amelia is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that Sophia is a knight or Aurora is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 0), ('lying', 3)), ('or', ('telling-truth', 4), ('telling-truth', 3)), ('or', ('telling-truth', 2), ('lying', 3)), ('not', ('lying', 1)), ('<=>', ('telling-truth', 1), ('telling-truth', 0)))", "index": 291}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Riley, Noah, Ella, Isabella, and Ava. \"Noah is a knight and Noah is a knave\" - Riley. Noah was heard saying, \"If Isabella is a knight then Riley is a knight\". \"Riley is not a knight,\" Ella mentioned. As Isabella put it, \"Ella is not a knight\". Ava asserted: \"Isabella is a knave\". So who is a knight and who is a knave?", "names": ["Riley", "Noah", "Ella", "Isabella", "Ava"], "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": "Riley is a knave, Noah is a knight, Ella is a knight, Isabella is a knave, and Ava is a knight.", "solution_text_format": "(1) Riley is a knave\n(2) Noah is a knight\n(3) Ella is a knight\n(4) Isabella is a knave\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": ["Riley cannot be a knight, because this would contradict the claim of their own that Noah is a knight and Noah is a knave.", "Assume Riley is a knave. No contradiction is found in their false claim that Noah is a knight and Noah is a knave.", "Assume Noah is a knight. No contradiction is found in their claim that If Isabella is a knight then Riley is a knight.", "Isabella cannot be a knight, because this would contradict the claim of Noah that If Isabella is a knight then Riley is a knight.", "Assume Isabella is a knave. No contradiction is found in their false claim that Ella is not a knight.", "Assume Ella is a knight. No contradiction is found in their claim that Riley is not a knight.", "Assume Ava is a knight. No contradiction is found in their claim that Isabella is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('lying', 1)), ('->', ('telling-truth', 3), ('telling-truth', 0)), ('not', ('telling-truth', 0)), ('not', ('telling-truth', 2)), ('lying', 3))", "index": 292}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Elizabeth, Luke, Emma, Riley, and Sophia. Elizabeth noted, \"Riley is a knight and Emma is a knave\". As Luke put it, \"Luke is a knight if and only if Elizabeth is a knave\". Emma stated, \"Riley is a knave if and only if Sophia is a knave\". \"Sophia is not a knight,\" Riley declared. Sophia commented, \"Luke is a knave or Elizabeth is a knight\". So who is a knight and who is a knave?", "names": ["Elizabeth", "Luke", "Emma", "Riley", "Sophia"], "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": "Elizabeth is a knave, Luke is a knave, Emma is a knave, Riley is a knave, and Sophia is a knight.", "solution_text_format": "(1) Elizabeth is a knave\n(2) Luke is a knave\n(3) Emma is a knave\n(4) Riley 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 Elizabeth is a knight. No contradiction is found in their claim that Riley is a knight and Emma is a knave.", "Assume Riley 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 Riley that Sophia is not a knight.", "Sophia cannot be a knave, because this would contradict the false claim of their own that Luke is a knave or Elizabeth is a knight.", "We have exhausted all possibilities for Sophia, so let us go back and reconsider Riley.", "Riley cannot be a knave, because this would contradict the claim of Elizabeth that Riley is a knight and Emma is a knave.", "We have exhausted all possibilities for Riley, so let us go back and reconsider Elizabeth.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Riley is a knight and Emma is a knave.", "Assume Riley 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 Riley that Sophia is not a knight.", "Assume Sophia is a knave. No contradiction is found in their false claim that Luke is a knave or Elizabeth is a knight.", "Assume Luke is a knight. No contradiction is found in their claim that Luke is a knight if and only if Elizabeth is a knave.", "Emma cannot be a knight, because this would contradict the claim of their own that Riley is a knave if and only if Sophia is a knave.", "Emma cannot be a knave, because this would contradict the false claim of Elizabeth that Riley is a knight and Emma is a knave.", "We have exhausted all possibilities for Emma, so let us go back and reconsider Luke.", "Luke cannot be a knave, because this would contradict the false claim of Sophia that Luke is a knave or Elizabeth is a knight.", "We have exhausted all possibilities for Luke and Sophia, so let us go back and reconsider Riley.", "Assume Riley is a knave. No contradiction is found in their false claim that Sophia is not a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that Luke is a knave or Elizabeth is a knight.", "Luke cannot be a knight, because this would contradict the claim of Sophia that Luke is a knave or Elizabeth is a knight.", "Assume Luke is a knave. No contradiction is found in their false claim that Luke is a knight if and only if Elizabeth is a knave.", "Emma cannot be a knight, because this would contradict the claim of their own that Riley is a knave if and only if Sophia is a knave.", "Assume Emma is a knave. No contradiction is found in their false claim that Riley is a knave if and only if Sophia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 3), ('lying', 2)), ('<=>', ('telling-truth', 1), ('lying', 0)), ('<=>', ('lying', 3), ('lying', 4)), ('not', ('telling-truth', 4)), ('or', ('lying', 1), ('telling-truth', 0)))", "index": 293}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Victoria, Penelope, Ethan, Aurora, and Sebastian. Victoria stated, \"Aurora is a knight\". Penelope said, \"Ethan is a knight or Sebastian is a knave.\" In a statement by Ethan: \"If Victoria is a knight then Penelope is a knave\". Aurora said, \"Penelope is a knave and Ethan is a knave.\" \"Penelope is a knight or Ethan is a knave,\" Sebastian claimed. So who is a knight and who is a knave?", "names": ["Victoria", "Penelope", "Ethan", "Aurora", "Sebastian"], "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": "Victoria is a knave, Penelope is a knight, Ethan is a knight, Aurora is a knave, and Sebastian is a knight.", "solution_text_format": "(1) Victoria is a knave\n(2) Penelope is a knight\n(3) Ethan is a knight\n(4) Aurora is a knave\n(5) Sebastian is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Victoria is a knight. No contradiction is found in their claim that Aurora is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that Penelope is a knave and Ethan is a knave.", "Penelope cannot be a knight, because this would contradict the claim of Aurora that Penelope is a knave and Ethan is a knave.", "Assume Penelope is a knave. No contradiction is found in their false claim that Ethan is a knight or Sebastian is a knave.", "Ethan cannot be a knight, because this would contradict the false claim of Penelope that Ethan is a knight or Sebastian is a knave.", "Ethan cannot be a knave, because this would contradict the false claim of their own that If Victoria is a knight then Penelope is a knave.", "We have exhausted all possibilities for Ethan and Penelope, so let us go back and reconsider Aurora.", "Aurora cannot be a knave, because this would contradict the claim of Victoria that Aurora is a knight.", "We have exhausted all possibilities for Aurora, so let us go back and reconsider Victoria.", "Assume Victoria is a knave. No contradiction is found in their false claim that Aurora is a knight.", "Aurora cannot be a knight, because this would contradict the false claim of Victoria that Aurora is a knight.", "Assume Aurora is a knave. No contradiction is found in their false claim that Penelope is a knave and Ethan is a knave.", "Assume Penelope is a knight. No contradiction is found in their claim that Ethan is a knight or Sebastian is a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that If Victoria is a knight then Penelope is a knave.", "Assume Sebastian is a knight. No contradiction is found in their claim that Penelope is a knight or Ethan is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 3), ('or', ('telling-truth', 2), ('lying', 4)), ('->', ('telling-truth', 0), ('lying', 1)), ('and', ('lying', 1), ('lying', 2)), ('or', ('telling-truth', 1), ('lying', 2)))", "index": 294}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Ella, Daniel, Harper, Benjamin, and Mia. \"Harper is a knave and Harper is a knight,\" Ella mentioned. Daniel commented, \"If Ella is a knight then Daniel is a knight\". \"If Benjamin is a knave then Daniel is a knight,\" Harper mentioned. \"Benjamin is a knight or Harper is a knight,\" Benjamin claimed. Mia said, \"Benjamin is a knave if and only if Ella is a knave.\" So who is a knight and who is a knave?", "names": ["Ella", "Daniel", "Harper", "Benjamin", "Mia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, false], "solution_text": "Ella is a knave, Daniel is a knight, Harper is a knight, Benjamin is a knight, and Mia is a knave.", "solution_text_format": "(1) Ella is a knave\n(2) Daniel is a knight\n(3) Harper is a knight\n(4) Benjamin is a knight\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": ["Ella cannot be a knight, because this would contradict the claim of their own that Harper is a knave and Harper is a knight.", "Assume Ella is a knave. No contradiction is found in their false claim that Harper is a knave and Harper is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that If Benjamin is a knave then Daniel is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that Benjamin is a knight or Harper is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that If Ella is a knight then Daniel is a knight.", "Mia cannot be a knight, because this would contradict the claim of their own that Benjamin is a knave if and only if Ella is a knave.", "Assume Mia is a knave. No contradiction is found in their false claim that Benjamin is a knave if and only if Ella is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('telling-truth', 2)), ('->', ('telling-truth', 0), ('telling-truth', 1)), ('->', ('lying', 3), ('telling-truth', 1)), ('or', ('telling-truth', 3), ('telling-truth', 2)), ('<=>', ('lying', 3), ('lying', 0)))", "index": 295}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Emily, Emma, Scarlett, Amelia, and Aurora. Emily said, \"Aurora is a knave if and only if Emma is a knight.\" Emma said, \"Aurora is a knight.\" Scarlett commented, \"Amelia is a knave or Amelia is a knight\". In Amelia's words: \"Aurora is a knave if and only if Emily is a knight\". In a statement by Aurora: \"If Scarlett is a knave then Emma is a knave\". So who is a knight and who is a knave?", "names": ["Emily", "Emma", "Scarlett", "Amelia", "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": "Emily is a knave, Emma is a knight, Scarlett is a knight, Amelia is a knight, and Aurora is a knight.", "solution_text_format": "(1) Emily is a knave\n(2) Emma is a knight\n(3) Scarlett is a knight\n(4) Amelia 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 Emily is a knight. No contradiction is found in their claim that Aurora is a knave if and only if Emma is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that If Scarlett is a knave then Emma is a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that Amelia is a knave or Amelia is a knight.", "Amelia cannot be a knight, because this would contradict the claim of their own that Aurora is a knave if and only if Emily is a knight.", "Assume Amelia is a knave. No contradiction is found in their false claim that Aurora is a knave if and only if Emily is a knight.", "Emma cannot be a knight, because this would contradict the claim of Emily that Aurora is a knave if and only if Emma is a knight.", "Emma cannot be a knave, because this would contradict the false claim of their own that Aurora is a knight.", "We have exhausted all possibilities for Emma and Amelia, so let us go back and reconsider Scarlett.", "Scarlett cannot be a knave, because this would contradict the false claim of their own that Amelia is a knave or Amelia is a knight.", "We have exhausted all possibilities for Scarlett, so let us go back and reconsider Aurora.", "Assume Aurora is a knave. No contradiction is found in their false claim that If Scarlett is a knave then Emma is a knave.", "Scarlett cannot be a knight, because this would contradict the false claim of Aurora that If Scarlett is a knave then Emma is a knave.", "Scarlett cannot be a knave, because this would contradict the false claim of their own that Amelia is a knave or Amelia is a knight.", "We have exhausted all possibilities for Scarlett and Aurora, so let us go back and reconsider Emily.", "Assume Emily is a knave. No contradiction is found in their false claim that Aurora is a knave if and only if Emma is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that If Scarlett is a knave then Emma is a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that Amelia is a knave or Amelia is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that Aurora is a knave if and only if Emily is a knight.", "Assume Emma is a knight. No contradiction is found in their claim that Aurora is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 4), ('telling-truth', 1)), ('telling-truth', 4), ('or', ('lying', 3), ('telling-truth', 3)), ('<=>', ('lying', 4), ('telling-truth', 0)), ('->', ('lying', 2), ('lying', 1)))", "index": 296}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Avery, Victoria, Emma, Harper, and Ethan. Avery stated, \"Victoria is a knight\". \"Harper is a knight and Ethan is a knight,\" Victoria claimed. According to Emma, \"Harper is a knight or Harper is a knave\". In a statement by Harper: \"Victoria is a knave or Victoria is a knight\". Ethan asserted: \"Victoria is a knight or Emma is a knight\". So who is a knight and who is a knave?", "names": ["Avery", "Victoria", "Emma", "Harper", "Ethan"], "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": "Avery is a knight, Victoria is a knight, Emma is a knight, Harper is a knight, and Ethan is a knight.", "solution_text_format": "(1) Avery is a knight\n(2) Victoria is a knight\n(3) Emma is a knight\n(4) Harper is a knight\n(5) 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 Avery is a knight. No contradiction is found in their claim that Victoria is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that Harper is a knight and Ethan is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that Victoria is a knave or Victoria is a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that Victoria is a knight or Emma is a knight.", "Assume Emma is a knight. No contradiction is found in their claim that Harper is a knight or Harper is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 1), ('and', ('telling-truth', 3), ('telling-truth', 4)), ('or', ('telling-truth', 3), ('lying', 3)), ('or', ('lying', 1), ('telling-truth', 1)), ('or', ('telling-truth', 1), ('telling-truth', 2)))", "index": 297}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Chloe, Owen, Liam, Mason, and Penelope. As Chloe put it, \"If Mason is a knight then Mason is a knave\". According to Owen, \"Liam is a knave if and only if Mason is a knave\". Liam asserted: \"Mason is a knight\". Mason stated, \"If Chloe is a knave then Owen is a knight\". Penelope said that Mason is a knight if and only if Liam is a knight. So who is a knight and who is a knave?", "names": ["Chloe", "Owen", "Liam", "Mason", "Penelope"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, true], "solution_text": "Chloe is a knave, Owen is a knight, Liam is a knight, Mason is a knight, and Penelope is a knight.", "solution_text_format": "(1) Chloe is a knave\n(2) Owen is a knight\n(3) Liam is a knight\n(4) Mason is a knight\n(5) Penelope is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Chloe is a knight. No contradiction is found in their claim that If Mason is a knight then Mason is a knave.", "Mason cannot be a knight, because this would contradict the claim of Chloe that If Mason is a knight then Mason is a knave.", "Mason cannot be a knave, because this would contradict the false claim of their own that If Chloe is a knave then Owen is a knight.", "We have exhausted all possibilities for Mason, so let us go back and reconsider Chloe.", "Assume Chloe is a knave. No contradiction is found in their false claim that If Mason is a knight then Mason is a knave.", "Assume Mason is a knight. No contradiction is found in their claim that If Chloe is a knave then Owen is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that Liam is a knave if and only if Mason is a knave.", "Assume Liam is a knight. No contradiction is found in their claim that Mason is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that Mason is a knight if and only if Liam is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 3), ('lying', 3)), ('<=>', ('lying', 2), ('lying', 3)), ('telling-truth', 3), ('->', ('lying', 0), ('telling-truth', 1)), ('<=>', ('telling-truth', 3), ('telling-truth', 2)))", "index": 298}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Olivia, Charlotte, Sebastian, Mason, and Elizabeth. Olivia said that Mason is a knight if and only if Sebastian is a knight. In a statement by Charlotte: \"Mason is a knave or Sebastian is a knave\". \"If Charlotte is a knight then Olivia is a knave,\" Sebastian mentioned. Mason expressed that Charlotte is a knave if and only if Elizabeth is a knight. Elizabeth said, \"Mason is a knave if and only if Olivia is a knight.\" So who is a knight and who is a knave?", "names": ["Olivia", "Charlotte", "Sebastian", "Mason", "Elizabeth"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false, true], "solution_text": "Olivia is a knight, Charlotte is a knight, Sebastian is a knave, Mason is a knave, and Elizabeth is a knight.", "solution_text_format": "(1) Olivia is a knight\n(2) Charlotte is a knight\n(3) Sebastian is a knave\n(4) Mason is a knave\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 Olivia is a knight. No contradiction is found in their claim that Mason is a knight if and only if Sebastian is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that Charlotte is a knave if and only if Elizabeth is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that Mason is a knave or Sebastian is a knave.", "Sebastian cannot be a knight, because this would contradict the claim of Charlotte that Mason is a knave or Sebastian is a knave.", "Sebastian cannot be a knave, because this would contradict the claim of Olivia that Mason is a knight if and only if Sebastian is a knight.", "We have exhausted all possibilities for Sebastian, so let us go back and reconsider Charlotte.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Mason is a knave or Sebastian is a knave.", "Assume Sebastian is a knight. No contradiction is found in their claim that If Charlotte is a knight then Olivia is a knave.", "Elizabeth cannot be a knight, because this would contradict the claim of their own that Mason is a knave if and only if Olivia is a knight.", "Elizabeth cannot be a knave, because this would contradict the claim of Mason that Charlotte is a knave if and only if Elizabeth is a knight.", "We have exhausted all possibilities for Elizabeth, so let us go back and reconsider Sebastian.", "Sebastian cannot be a knave, because this would contradict the claim of Olivia that Mason is a knight if and only if Sebastian is a knight.", "We have exhausted all possibilities for Sebastian and Charlotte, so let us go back and reconsider Mason.", "Assume Mason is a knave. No contradiction is found in their false claim that Charlotte is a knave if and only if Elizabeth is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that Mason is a knave or Sebastian is a knave.", "Sebastian cannot be a knight, because this would contradict the claim of Olivia that Mason is a knight if and only if Sebastian is a knight.", "Assume Sebastian is a knave. No contradiction is found in their false claim that If Charlotte is a knight then Olivia is a knave.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Mason is a knave if and only if Olivia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 3), ('telling-truth', 2)), ('or', ('lying', 3), ('lying', 2)), ('->', ('telling-truth', 1), ('lying', 0)), ('<=>', ('lying', 1), ('telling-truth', 4)), ('<=>', ('lying', 3), ('telling-truth', 0)))", "index": 299}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Lily, Luke, Ava, Liam, and Aria. \"Liam is not a knight,\" Lily declared. \"Ava is a knight,\" Luke claimed. Ava said, \"Liam is not a knave.\" In Liam's words: \"If Aria is a knave then Lily is a knight\". Aria commented, \"Luke is a knave or Liam is a knight\". So who is a knight and who is a knave?", "names": ["Lily", "Luke", "Ava", "Liam", "Aria"], "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": "Lily is a knave, Luke is a knight, Ava is a knight, Liam is a knight, and Aria is a knight.", "solution_text_format": "(1) Lily is a knave\n(2) Luke is a knight\n(3) Ava is a knight\n(4) Liam 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 Lily 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 Lily that Liam is not a knight.", "Liam cannot be a knave, because this would contradict the false claim of their own that If Aria is a knave then Lily is a knight.", "We have exhausted all possibilities for Liam, so let us go back and reconsider Lily.", "Assume Lily is a knave. No contradiction is found in their false claim that Liam is not a knight.", "Assume Liam is a knight. No contradiction is found in their claim that If Aria is a knave then Lily is a knight.", "Assume Aria is a knight. No contradiction is found in their claim that Luke is a knave or Liam is a knight.", "Assume Luke is a knight. No contradiction is found in their claim that Ava is a knight.", "Assume Ava is a knight. No contradiction is found in their claim that Liam is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 3)), ('telling-truth', 2), ('not', ('lying', 3)), ('->', ('lying', 4), ('telling-truth', 0)), ('or', ('lying', 1), ('telling-truth', 3)))", "index": 300}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Grace, Evelyn, Samuel, Aurora, and David. \"Samuel is a knave or David is a knight,\" Grace claimed. Evelyn remarked, \"Grace is a knight if and only if David is a knave\". Samuel asserted: \"Grace is a knight or Evelyn is a knave\". Aurora asserted: \"Aurora is a knight or Grace is a knight\". \"Samuel is a knight\" - David. So who is a knight and who is a knave?", "names": ["Grace", "Evelyn", "Samuel", "Aurora", "David"], "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, Evelyn is a knave, Samuel is a knight, Aurora is a knight, and David is a knight.", "solution_text_format": "(1) Grace is a knight\n(2) Evelyn is a knave\n(3) Samuel is a knight\n(4) Aurora is a knight\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 Grace is a knight. No contradiction is found in their claim that Samuel is a knave or David is a knight.", "Assume Samuel is a knight. No contradiction is found in their claim that Grace is a knight or Evelyn is a knave.", "Assume Evelyn is a knight. No contradiction is found in their claim that Grace is a knight if and only if David is a knave.", "David cannot be a knight, because this would contradict the claim of Evelyn that Grace is a knight if and only if David is a knave.", "David cannot be a knave, because this would contradict the claim of Grace that Samuel is a knave or David is a knight.", "We have exhausted all possibilities for David, so let us go back and reconsider Evelyn.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Grace is a knight if and only if David is a knave.", "Assume David is a knight. No contradiction is found in their claim that Samuel is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that Aurora is a knight or Grace is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 2), ('telling-truth', 4)), ('<=>', ('telling-truth', 0), ('lying', 4)), ('or', ('telling-truth', 0), ('lying', 1)), ('or', ('telling-truth', 3), ('telling-truth', 0)), ('telling-truth', 2))", "index": 301}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Avery, Charlotte, Jack, Luke, and Daniel. Avery stated, \"If Daniel is a knight then Jack is a knight\". Charlotte expressed that Avery is a knave and Daniel is a knave. \"Charlotte is not a knave,\" Jack claimed. Luke said, \"Daniel is a knight.\" Daniel remarked, \"Charlotte is a knight\". So who is a knight and who is a knave?", "names": ["Avery", "Charlotte", "Jack", "Luke", "Daniel"], "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": "Avery is a knight, Charlotte is a knave, Jack is a knave, Luke is a knave, and Daniel is a knave.", "solution_text_format": "(1) Avery is a knight\n(2) Charlotte is a knave\n(3) Jack is a knave\n(4) Luke 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 Avery is a knight. No contradiction is found in their claim that If Daniel is a knight then Jack is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that Charlotte is a knight.", "Charlotte cannot be a knight, because this would contradict the claim of their own that Avery is a knave and Daniel is a knave.", "Charlotte cannot be a knave, because this would contradict the claim of Daniel that Charlotte is a knight.", "We have exhausted all possibilities for Charlotte, so let us go back and reconsider Daniel.", "Assume Daniel is a knave. No contradiction is found in their false claim that Charlotte is a knight.", "Charlotte cannot be a knight, because this would contradict the claim of their own that Avery is a knave and Daniel is a knave.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Avery is a knave and Daniel is a knave.", "Jack cannot be a knight, because this would contradict the claim of their own that Charlotte is not a knave.", "Assume Jack is a knave. No contradiction is found in their false claim that Charlotte is not a knave.", "Luke cannot be a knight, because this would contradict the claim of their own that Daniel is a knight.", "Assume Luke is a knave. No contradiction is found in their false claim that Daniel is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 4), ('telling-truth', 2)), ('and', ('lying', 0), ('lying', 4)), ('not', ('lying', 1)), ('telling-truth', 4), ('telling-truth', 1))", "index": 302}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Owen, Charlotte, Olivia, David, and Aria. Owen stated, \"David is a knight and Owen is a knight\". In a statement by Charlotte: \"David is a knight\". Olivia told you that Aria is a knight and David is a knight. In a statement by David: \"Olivia is not a knight\". In a statement by Aria: \"If David is a knight then Owen is a knight\". So who is a knight and who is a knave?", "names": ["Owen", "Charlotte", "Olivia", "David", "Aria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true, false], "solution_text": "Owen is a knave, Charlotte is a knight, Olivia is a knave, David is a knight, and Aria is a knave.", "solution_text_format": "(1) Owen is a knave\n(2) Charlotte is a knight\n(3) Olivia is a knave\n(4) David is a knight\n(5) Aria is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Owen is a knight. No contradiction is found in their claim that David is a knight and Owen is a knight.", "Assume David is a knight. No contradiction is found in their claim that Olivia is not a knight.", "Olivia cannot be a knight, because this would contradict the claim of David that Olivia is not a knight.", "Assume Olivia is a knave. No contradiction is found in their false claim that Aria is a knight and David is a knight.", "Aria cannot be a knight, because this would contradict the false claim of Olivia that Aria is a knight and David is a knight.", "Aria cannot be a knave, because this would contradict the false claim of their own that If David is a knight then Owen is a knight.", "We have exhausted all possibilities for Aria and Olivia, so let us go back and reconsider David.", "David cannot be a knave, because this would contradict the claim of Owen that David is a knight and Owen is a knight.", "We have exhausted all possibilities for David, so let us go back and reconsider Owen.", "Assume Owen is a knave. No contradiction is found in their false claim that David is a knight and Owen is a knight.", "Assume David is a knight. No contradiction is found in their claim that Olivia is not a knight.", "Olivia cannot be a knight, because this would contradict the claim of David that Olivia is not a knight.", "Assume Olivia is a knave. No contradiction is found in their false claim that Aria is a knight and David is a knight.", "Aria cannot be a knight, because this would contradict the false claim of Olivia that Aria is a knight and David is a knight.", "Assume Aria is a knave. No contradiction is found in their false claim that If David is a knight then Owen is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that David is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 3), ('telling-truth', 0)), ('telling-truth', 3), ('and', ('telling-truth', 4), ('telling-truth', 3)), ('not', ('telling-truth', 2)), ('->', ('telling-truth', 3), ('telling-truth', 0)))", "index": 303}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Jacob, Sofia, Emily, James, and Liam. \"Emily is a knight if and only if Sofia is a knave,\" Jacob declared. \"James is not a knave\" - Sofia. Emily commented, \"Jacob is a knight if and only if Emily is a knight\". James commented, \"Jacob is not a knave\". Liam commented, \"Sofia is a knight if and only if Emily is a knight\". So who is a knight and who is a knave?", "names": ["Jacob", "Sofia", "Emily", "James", "Liam"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true, false], "solution_text": "Jacob is a knight, Sofia is a knight, Emily is a knave, James is a knight, and Liam is a knave.", "solution_text_format": "(1) Jacob is a knight\n(2) Sofia is a knight\n(3) Emily is a knave\n(4) James 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 Jacob is a knight. No contradiction is found in their claim that Emily is a knight if and only if Sofia is a knave.", "Assume Emily is a knight. No contradiction is found in their claim that Jacob is a knight if and only if Emily is a knight.", "Sofia cannot be a knight, because this would contradict the claim of Jacob that Emily is a knight if and only if Sofia is a knave.", "Assume Sofia is a knave. No contradiction is found in their false claim that James is not a knave.", "James cannot be a knight, because this would contradict the false claim of Sofia that James is not a knave.", "James cannot be a knave, because this would contradict the false claim of their own that Jacob is not a knave.", "We have exhausted all possibilities for James and Sofia, so let us go back and reconsider Emily.", "Assume Emily is a knave. No contradiction is found in their false claim that Jacob is a knight if and only if Emily is a knight.", "Assume Sofia is a knight. No contradiction is found in their claim that James is not a knave.", "Assume James is a knight. No contradiction is found in their claim that Jacob is not a knave.", "Liam cannot be a knight, because this would contradict the claim of their own that Sofia is a knight if and only if Emily is a knight.", "Assume Liam is a knave. No contradiction is found in their false claim that Sofia is a knight if and only if Emily is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 2), ('lying', 1)), ('not', ('lying', 3)), ('<=>', ('telling-truth', 0), ('telling-truth', 2)), ('not', ('lying', 0)), ('<=>', ('telling-truth', 1), ('telling-truth', 2)))", "index": 304}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Riley, Elizabeth, Michael, Chloe, and Alexander. According to Riley, \"Michael is not a knave\". Elizabeth noted, \"If Alexander is a knave then Michael is a knight\". Michael remarked, \"Elizabeth is not a knight\". \"Chloe is a knight,\" Chloe claimed. Alexander said, \"Chloe is a knave if and only if Alexander is a knight.\" So who is a knight and who is a knave?", "names": ["Riley", "Elizabeth", "Michael", "Chloe", "Alexander"], "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": "Riley is a knave, Elizabeth is a knight, Michael is a knave, Chloe is a knave, and Alexander is a knight.", "solution_text_format": "(1) Riley is a knave\n(2) Elizabeth is a knight\n(3) Michael is a knave\n(4) Chloe is a knave\n(5) 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 Riley is a knight. No contradiction is found in their claim that Michael is not a knave.", "Assume Michael is a knight. No contradiction is found in their claim that Elizabeth is not a knight.", "Elizabeth cannot be a knight, because this would contradict the claim of Michael that Elizabeth is not a knight.", "Elizabeth cannot be a knave, because this would contradict the false claim of their own that If Alexander is a knave then Michael is a knight.", "We have exhausted all possibilities for Elizabeth, so let us go back and reconsider Michael.", "Michael cannot be a knave, because this would contradict the claim of Riley that Michael is not a knave.", "We have exhausted all possibilities for Michael, so let us go back and reconsider Riley.", "Assume Riley is a knave. No contradiction is found in their false claim that Michael is not a knave.", "Michael cannot be a knight, because this would contradict the false claim of Riley that Michael is not a knave.", "Assume Michael is a knave. No contradiction is found in their false claim that Elizabeth is not a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that If Alexander is a knave then Michael is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that Chloe is a knave if and only if Alexander is a knight.", "Chloe cannot be a knight, because this would contradict the claim of Alexander that Chloe is a knave if and only if Alexander is a knight.", "Assume Chloe is a knave. No contradiction is found in their false claim that Chloe is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 2)), ('->', ('lying', 4), ('telling-truth', 2)), ('not', ('telling-truth', 1)), ('telling-truth', 3), ('<=>', ('lying', 3), ('telling-truth', 4)))", "index": 305}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Charlotte, Joseph, Henry, Abigail, and Amelia. According to Charlotte, \"Henry is a knave if and only if Amelia is a knight\". Joseph said, \"Henry is a knight if and only if Charlotte is a knight.\" As Henry put it, \"If Amelia is a knight then Charlotte is a knave\". Abigail expressed that If Charlotte is a knave then Joseph is a knave. \"Joseph is a knight and Joseph is a knave,\" Amelia claimed. So who is a knight and who is a knave?", "names": ["Charlotte", "Joseph", "Henry", "Abigail", "Amelia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, false], "solution_text": "Charlotte is a knight, Joseph is a knight, Henry is a knight, Abigail is a knight, and Amelia is a knave.", "solution_text_format": "(1) Charlotte is a knight\n(2) Joseph is a knight\n(3) Henry is a knight\n(4) Abigail is a knight\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 Charlotte is a knight. No contradiction is found in their claim that Henry is a knave if and only if Amelia is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that If Amelia is a knight then Charlotte is a knave.", "Amelia cannot be a knight, because this would contradict the claim of Charlotte that Henry is a knave if and only if Amelia is a knight.", "Assume Amelia is a knave. No contradiction is found in their false claim that Joseph is a knight and Joseph is a knave.", "Assume Joseph is a knight. No contradiction is found in their claim that Henry is a knight if and only if Charlotte is a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that If Charlotte is a knave then Joseph is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 2), ('telling-truth', 4)), ('<=>', ('telling-truth', 2), ('telling-truth', 0)), ('->', ('telling-truth', 4), ('lying', 0)), ('->', ('lying', 0), ('lying', 1)), ('and', ('telling-truth', 1), ('lying', 1)))", "index": 306}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Lily, Sebastian, Aurora, Olivia, and Emma. \"Sebastian is a knight and Emma is a knight\" - Lily. In Sebastian's words: \"Emma is not a knight\". In a statement by Aurora: \"Olivia is a knave if and only if Emma is a knight\". Olivia asserted: \"If Aurora is a knave then Lily is a knight\". Emma remarked, \"Olivia is a knight\". So who is a knight and who is a knave?", "names": ["Lily", "Sebastian", "Aurora", "Olivia", "Emma"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false, false], "solution_text": "Lily is a knave, Sebastian is a knight, Aurora is a knave, Olivia is a knave, and Emma is a knave.", "solution_text_format": "(1) Lily is a knave\n(2) Sebastian is a knight\n(3) Aurora is a knave\n(4) Olivia is a knave\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 Lily is a knight. No contradiction is found in their claim that Sebastian is a knight and Emma is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Emma is not a knight.", "Emma cannot be a knight, because this would contradict the claim of Sebastian that Emma is not a knight.", "Emma cannot be a knave, because this would contradict the claim of Lily that Sebastian is a knight and Emma is a knight.", "We have exhausted all possibilities for Emma, so let us go back and reconsider Sebastian.", "Sebastian cannot be a knave, because this would contradict the claim of Lily that Sebastian is a knight and Emma is a knight.", "We have exhausted all possibilities for Sebastian, so let us go back and reconsider Lily.", "Assume Lily is a knave. No contradiction is found in their false claim that Sebastian is a knight and Emma is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Emma is not a knight.", "Emma cannot be a knight, because this would contradict the false claim of Lily that Sebastian is a knight and Emma is a knight.", "Assume Emma is a knave. No contradiction is found in their false claim that Olivia is a knight.", "Olivia cannot be a knight, because this would contradict the false claim of Emma that Olivia is a knight.", "Assume Olivia is a knave. No contradiction is found in their false claim that If Aurora is a knave then Lily is a knight.", "Aurora cannot be a knight, because this would contradict the claim of their own that Olivia is a knave if and only if Emma is a knight.", "Assume Aurora is a knave. No contradiction is found in their false claim that Olivia is a knave if and only if Emma is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('telling-truth', 4)), ('not', ('telling-truth', 4)), ('<=>', ('lying', 3), ('telling-truth', 4)), ('->', ('lying', 2), ('telling-truth', 0)), ('telling-truth', 3))", "index": 307}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Olivia, Joseph, Emily, Penelope, and Grace. \"If Grace is a knight then Emily is a knight\" - Olivia. \"Grace is a knave or Emily is a knave\" - Joseph. \"Penelope is a knave or Penelope is a knight,\" Emily declared. Penelope was heard saying, \"Grace is a knave\". Grace stated, \"If Emily is a knave then Olivia is a knave\". So who is a knight and who is a knave?", "names": ["Olivia", "Joseph", "Emily", "Penelope", "Grace"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false, true], "solution_text": "Olivia is a knight, Joseph is a knave, Emily is a knight, Penelope is a knave, and Grace is a knight.", "solution_text_format": "(1) Olivia is a knight\n(2) Joseph is a knave\n(3) Emily is a knight\n(4) Penelope is a knave\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 Olivia is a knight. No contradiction is found in their claim that If Grace is a knight then Emily is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that If Emily is a knave then Olivia is a knave.", "Assume Emily is a knight. No contradiction is found in their claim that Penelope is a knave or Penelope is a knight.", "Penelope cannot be a knight, because this would contradict the claim of their own that Grace is a knave.", "Assume Penelope is a knave. No contradiction is found in their false claim that Grace is a knave.", "Joseph cannot be a knight, because this would contradict the claim of their own that Grace is a knave or Emily is a knave.", "Assume Joseph is a knave. No contradiction is found in their false claim that Grace is a knave or Emily is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 4), ('telling-truth', 2)), ('or', ('lying', 4), ('lying', 2)), ('or', ('lying', 3), ('telling-truth', 3)), ('lying', 4), ('->', ('lying', 2), ('lying', 0)))", "index": 308}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: David, Aiden, Victoria, Chloe, and Amelia. David remarked, \"Amelia is a knave if and only if David is a knight\". Aiden stated, \"If Victoria is a knight then Chloe is a knave\". Victoria commented, \"Amelia is not a knight\". Chloe said that Aiden is a knight or David is a knave. Amelia said that Amelia is a knight and Aiden is a knight. So who is a knight and who is a knave?", "names": ["David", "Aiden", "Victoria", "Chloe", "Amelia"], "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": "David is a knave, Aiden is a knave, Victoria is a knight, Chloe is a knight, and Amelia is a knave.", "solution_text_format": "(1) David is a knave\n(2) Aiden is a knave\n(3) Victoria is a knight\n(4) Chloe is a knight\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 David is a knight. No contradiction is found in their claim that Amelia is a knave if and only if David is a knight.", "Amelia cannot be a knight, because this would contradict the claim of David that Amelia is a knave if and only if David is a knight.", "Assume Amelia is a knave. No contradiction is found in their false claim that Amelia is a knight and Aiden is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that If Victoria is a knight then Chloe is a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that Amelia is not a knight.", "Chloe cannot be a knight, because this would contradict the claim of Aiden that If Victoria is a knight then Chloe is a knave.", "Chloe cannot be a knave, because this would contradict the false claim of their own that Aiden is a knight or David is a knave.", "We have exhausted all possibilities for Chloe, so let us go back and reconsider Victoria.", "Victoria cannot be a knave, because this would contradict the false claim of their own that Amelia is not a knight.", "We have exhausted all possibilities for Victoria, so let us go back and reconsider Aiden.", "Assume Aiden is a knave. No contradiction is found in their false claim that If Victoria is a knight then Chloe is a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that Amelia is not a knight.", "Chloe cannot be a knight, because this would contradict the claim of their own that Aiden is a knight or David is a knave.", "Chloe cannot be a knave, because this would contradict the false claim of Aiden that If Victoria is a knight then Chloe is a knave.", "We have exhausted all possibilities for Chloe, so let us go back and reconsider Victoria.", "Victoria cannot be a knave, because this would contradict the false claim of Aiden that If Victoria is a knight then Chloe is a knave.", "We have exhausted all possibilities for Victoria, Aiden, and Amelia, so let us go back and reconsider David.", "Assume David is a knave. No contradiction is found in their false claim that Amelia is a knave if and only if David is a knight.", "Amelia cannot be a knight, because this would contradict the false claim of David that Amelia is a knave if and only if David is a knight.", "Assume Amelia is a knave. No contradiction is found in their false claim that Amelia is a knight and Aiden is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that If Victoria is a knight then Chloe is a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that Amelia is not a knight.", "Chloe cannot be a knight, because this would contradict the claim of Aiden that If Victoria is a knight then Chloe is a knave.", "Chloe cannot be a knave, because this would contradict the false claim of their own that Aiden is a knight or David is a knave.", "We have exhausted all possibilities for Chloe, so let us go back and reconsider Victoria.", "Victoria cannot be a knave, because this would contradict the false claim of their own that Amelia is not a knight.", "We have exhausted all possibilities for Victoria, so let us go back and reconsider Aiden.", "Assume Aiden is a knave. No contradiction is found in their false claim that If Victoria is a knight then Chloe is a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that Amelia is not a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that Aiden is a knight or David is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 4), ('telling-truth', 0)), ('->', ('telling-truth', 2), ('lying', 3)), ('not', ('telling-truth', 4)), ('or', ('telling-truth', 1), ('lying', 0)), ('and', ('telling-truth', 4), ('telling-truth', 1)))", "index": 309}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Henry, Michael, Ethan, Mia, and Grace. Henry remarked, \"Grace is a knave if and only if Mia is a knave\". Michael asserted: \"Ethan is a knight and Henry is a knight\". Ethan said that Henry is not a knave. \"Henry is not a knave,\" Mia declared. Grace said that Mia is a knight. So who is a knight and who is a knave?", "names": ["Henry", "Michael", "Ethan", "Mia", "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": "Henry is a knight, Michael is a knight, Ethan is a knight, Mia is a knight, and Grace is a knight.", "solution_text_format": "(1) Henry is a knight\n(2) Michael is a knight\n(3) Ethan is a knight\n(4) Mia 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 Henry is a knight. No contradiction is found in their claim that Grace is a knave if and only if Mia is a knave.", "Assume Grace is a knight. No contradiction is found in their claim that Mia is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that Henry is not a knave.", "Assume Michael is a knight. No contradiction is found in their claim that Ethan is a knight and Henry is a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that Henry is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 4), ('lying', 3)), ('and', ('telling-truth', 2), ('telling-truth', 0)), ('not', ('lying', 0)), ('not', ('lying', 0)), ('telling-truth', 3))", "index": 310}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Charlotte, Henry, James, Mason, and Jackson. Charlotte was heard saying, \"Henry is a knight and Henry is a knave\". Henry remarked, \"Mason is not a knave\". James commented, \"Mason is a knight and Jackson is a knight\". \"James is not a knight,\" Mason mentioned. \"If Henry is a knight then Mason is a knave,\" Jackson mentioned. So who is a knight and who is a knave?", "names": ["Charlotte", "Henry", "James", "Mason", "Jackson"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true, false], "solution_text": "Charlotte is a knave, Henry is a knight, James is a knave, Mason is a knight, and Jackson is a knave.", "solution_text_format": "(1) Charlotte is a knave\n(2) Henry is a knight\n(3) James is a knave\n(4) Mason is a knight\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": ["Charlotte cannot be a knight, because this would contradict the claim of their own that Henry is a knight and Henry is a knave.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Henry is a knight and Henry is a knave.", "Assume Henry is a knight. No contradiction is found in their claim that Mason is not a knave.", "Assume Mason is a knight. No contradiction is found in their claim that James is not a knight.", "James cannot be a knight, because this would contradict the claim of Mason that James is not a knight.", "Assume James is a knave. No contradiction is found in their false claim that Mason is a knight and Jackson is a knight.", "Jackson cannot be a knight, because this would contradict the false claim of James that Mason is a knight and Jackson is a knight.", "Assume Jackson is a knave. No contradiction is found in their false claim that If Henry is a knight then Mason is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('lying', 1)), ('not', ('lying', 3)), ('and', ('telling-truth', 3), ('telling-truth', 4)), ('not', ('telling-truth', 2)), ('->', ('telling-truth', 1), ('lying', 3)))", "index": 311}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Jacob, Oliver, Avery, Penelope, and Benjamin. Jacob said, \"Benjamin is a knave and Penelope is a knave.\" \"Avery is a knight and Oliver is a knight,\" Oliver mentioned. Avery said, \"Penelope is not a knave.\" \"Oliver is a knave,\" Penelope mentioned. \"If Penelope is a knight then Jacob is a knight\" - Benjamin. So who is a knight and who is a knave?", "names": ["Jacob", "Oliver", "Avery", "Penelope", "Benjamin"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true, false], "solution_text": "Jacob is a knave, Oliver is a knave, Avery is a knight, Penelope is a knight, and Benjamin is a knave.", "solution_text_format": "(1) Jacob is a knave\n(2) Oliver is a knave\n(3) Avery is a knight\n(4) Penelope is a knight\n(5) Benjamin is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jacob is a knight. No contradiction is found in their claim that Benjamin is a knave and Penelope is a knave.", "Benjamin cannot be a knight, because this would contradict the claim of Jacob that Benjamin is a knave and Penelope is a knave.", "Benjamin cannot be a knave, because this would contradict the false claim of their own that If Penelope is a knight then Jacob is a knight.", "We have exhausted all possibilities for Benjamin, so let us go back and reconsider Jacob.", "Assume Jacob is a knave. No contradiction is found in their false claim that Benjamin is a knave and Penelope is a knave.", "Assume Benjamin is a knight. No contradiction is found in their claim that If Penelope is a knight then Jacob is a knight.", "Penelope cannot be a knight, because this would contradict the claim of Benjamin that If Penelope is a knight then Jacob is a knight.", "Assume Penelope is a knave. No contradiction is found in their false claim that Oliver is a knave.", "Assume Oliver is a knight. No contradiction is found in their claim that Avery is a knight and Oliver is a knight.", "Avery cannot be a knight, because this would contradict the claim of their own that Penelope is not a knave.", "Avery cannot be a knave, because this would contradict the claim of Oliver that Avery is a knight and Oliver is a knight.", "We have exhausted all possibilities for Avery, so let us go back and reconsider Oliver.", "Oliver cannot be a knave, because this would contradict the false claim of Penelope that Oliver is a knave.", "We have exhausted all possibilities for Oliver and Penelope, so let us go back and reconsider Benjamin.", "Assume Benjamin is a knave. No contradiction is found in their false claim that If Penelope is a knight then Jacob is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that Oliver is a knave.", "Oliver cannot be a knight, because this would contradict the claim of Penelope that Oliver is a knave.", "Assume Oliver is a knave. No contradiction is found in their false claim that Avery is a knight and Oliver is a knight.", "Assume Avery 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": "(('and', ('lying', 4), ('lying', 3)), ('and', ('telling-truth', 2), ('telling-truth', 1)), ('not', ('lying', 3)), ('lying', 1), ('->', ('telling-truth', 3), ('telling-truth', 0)))", "index": 312}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Riley, Scarlett, Logan, Emma, and Zoey. \"Scarlett is a knave\" - Riley. Scarlett commented, \"Logan is a knight if and only if Scarlett is a knight\". As Logan put it, \"Emma is a knave or Zoey is a knight\". Emma asserted: \"Logan is a knight or Zoey is a knave\". Zoey said that If Scarlett is a knave then Logan is a knave. So who is a knight and who is a knave?", "names": ["Riley", "Scarlett", "Logan", "Emma", "Zoey"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, true], "solution_text": "Riley is a knave, Scarlett is a knight, Logan is a knight, Emma is a knight, and Zoey is a knight.", "solution_text_format": "(1) Riley is a knave\n(2) Scarlett is a knight\n(3) Logan is a knight\n(4) Emma is a knight\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 Riley is a knight. No contradiction is found in their claim that Scarlett is a knave.", "Scarlett cannot be a knight, because this would contradict the claim of Riley that Scarlett is a knave.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Logan is a knight if and only if Scarlett is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that Emma is a knave or Zoey is a knight.", "Assume Emma is a knight. No contradiction is found in their claim that Logan is a knight or Zoey is a knave.", "Zoey cannot be a knight, because this would contradict the claim of their own that If Scarlett is a knave then Logan is a knave.", "Zoey cannot be a knave, because this would contradict the claim of Logan that Emma is a knave or Zoey is a knight.", "We have exhausted all possibilities for Zoey, so let us go back and reconsider Emma.", "Emma cannot be a knave, because this would contradict the false claim of their own that Logan is a knight or Zoey is a knave.", "We have exhausted all possibilities for Emma, so let us go back and reconsider Logan.", "Logan cannot be a knave, because this would contradict the false claim of Scarlett that Logan is a knight if and only if Scarlett is a knight.", "We have exhausted all possibilities for Logan and Scarlett, so let us go back and reconsider Riley.", "Assume Riley is a knave. No contradiction is found in their false claim that Scarlett is a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that Logan is a knight if and only if Scarlett is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that Emma is a knave or Zoey is a knight.", "Assume Emma is a knight. No contradiction is found in their claim that Logan is a knight or Zoey is a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that If Scarlett is a knave then Logan is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('<=>', ('telling-truth', 2), ('telling-truth', 1)), ('or', ('lying', 3), ('telling-truth', 4)), ('or', ('telling-truth', 2), ('lying', 4)), ('->', ('lying', 1), ('lying', 2)))", "index": 313}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Isabella, Mason, William, Matthew, and Joseph. Isabella stated, \"Joseph is not a knight\". \"Matthew is a knave if and only if Mason is a knight,\" Mason declared. In a statement by William: \"Mason is not a knave\". Matthew stated, \"William is not a knave\". As Joseph put it, \"Mason is not a knave\". So who is a knight and who is a knave?", "names": ["Isabella", "Mason", "William", "Matthew", "Joseph"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false, false], "solution_text": "Isabella is a knight, Mason is a knave, William is a knave, Matthew is a knave, and Joseph is a knave.", "solution_text_format": "(1) Isabella is a knight\n(2) Mason is a knave\n(3) William is a knave\n(4) Matthew is a knave\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 Isabella is a knight. No contradiction is found in their claim that Joseph is not a knight.", "Joseph cannot be a knight, because this would contradict the claim of Isabella that Joseph is not a knight.", "Assume Joseph is a knave. No contradiction is found in their false claim that Mason is not a knave.", "Mason cannot be a knight, because this would contradict the false claim of Joseph that Mason is not a knave.", "Assume Mason is a knave. No contradiction is found in their false claim that Matthew is a knave if and only if Mason is a knight.", "Matthew cannot be a knight, because this would contradict the false claim of Mason that Matthew is a knave if and only if Mason is a knight.", "Assume Matthew is a knave. No contradiction is found in their false claim that William is not a knave.", "William cannot be a knight, because this would contradict the claim of their own that Mason is not a knave.", "Assume William is a knave. No contradiction is found in their false claim that Mason is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 4)), ('<=>', ('lying', 3), ('telling-truth', 1)), ('not', ('lying', 1)), ('not', ('lying', 2)), ('not', ('lying', 1)))", "index": 314}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Sebastian, Charlotte, Isabella, Grace, and Alexander. According to Sebastian, \"Alexander is a knight and Isabella is a knave\". \"If Charlotte is a knight then Alexander is a knight,\" Charlotte mentioned. \"If Sebastian is a knight then Grace is a knight,\" Isabella claimed. Grace asserted: \"Isabella is a knave if and only if Alexander is a knave\". Alexander said, \"Charlotte is a knight if and only if Grace is a knight.\" So who is a knight and who is a knave?", "names": ["Sebastian", "Charlotte", "Isabella", "Grace", "Alexander"], "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": "Sebastian is a knave, Charlotte is a knight, Isabella is a knight, Grace is a knight, and Alexander is a knight.", "solution_text_format": "(1) Sebastian is a knave\n(2) Charlotte is a knight\n(3) Isabella is a knight\n(4) Grace is a knight\n(5) 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 Sebastian is a knight. No contradiction is found in their claim that Alexander is a knight and Isabella is a knave.", "Assume Alexander is a knight. No contradiction is found in their claim that Charlotte is a knight if and only if Grace is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that If Charlotte is a knight then Alexander is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that Isabella is a knave if and only if Alexander is a knave.", "Isabella cannot be a knight, because this would contradict the claim of Sebastian that Alexander is a knight and Isabella is a knave.", "Isabella cannot be a knave, because this would contradict the false claim of their own that If Sebastian is a knight then Grace is a knight.", "We have exhausted all possibilities for Isabella, so let us go back and reconsider Grace.", "Grace cannot be a knave, because this would contradict the claim of Alexander that Charlotte is a knight if and only if Grace is a knight.", "We have exhausted all possibilities for Grace, so let us go back and reconsider Charlotte.", "Charlotte cannot be a knave, because this would contradict the false claim of their own that If Charlotte is a knight then Alexander is a knight.", "We have exhausted all possibilities for Charlotte, so let us go back and reconsider Alexander.", "Alexander cannot be a knave, because this would contradict the claim of Sebastian that Alexander is a knight and Isabella is a knave.", "We have exhausted all possibilities for Alexander, so let us go back and reconsider Sebastian.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Alexander is a knight and Isabella is a knave.", "Assume Alexander is a knight. No contradiction is found in their claim that Charlotte is a knight if and only if Grace is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that If Charlotte is a knight then Alexander is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that Isabella is a knave if and only if Alexander is a knave.", "Assume Isabella is a knight. No contradiction is found in their claim that If Sebastian is a knight then Grace is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 4), ('lying', 2)), ('->', ('telling-truth', 1), ('telling-truth', 4)), ('->', ('telling-truth', 0), ('telling-truth', 3)), ('<=>', ('lying', 2), ('lying', 4)), ('<=>', ('telling-truth', 1), ('telling-truth', 3)))", "index": 315}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Riley, Aurora, Liam, Chloe, and Owen. Riley expressed that Chloe is a knight if and only if Liam is a knight. \"If Liam is a knight then Owen is a knight,\" Aurora declared. Liam said, \"If Chloe is a knave then Riley is a knight.\" Chloe was heard saying, \"Liam is not a knave\". Owen said that If Chloe is a knave then Owen is a knight. So who is a knight and who is a knave?", "names": ["Riley", "Aurora", "Liam", "Chloe", "Owen"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, true], "solution_text": "Riley is a knight, Aurora is a knight, Liam is a knight, Chloe is a knight, and Owen is a knight.", "solution_text_format": "(1) Riley is a knight\n(2) Aurora is a knight\n(3) Liam is a knight\n(4) Chloe is a knight\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 Riley is a knight. No contradiction is found in their claim that Chloe is a knight if and only if Liam is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that Liam is not a knave.", "Assume Liam is a knight. No contradiction is found in their claim that If Chloe is a knave then Riley is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that If Liam is a knight then Owen is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that If Chloe is a knave then Owen is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 3), ('telling-truth', 2)), ('->', ('telling-truth', 2), ('telling-truth', 4)), ('->', ('lying', 3), ('telling-truth', 0)), ('not', ('lying', 2)), ('->', ('lying', 3), ('telling-truth', 4)))", "index": 316}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Mia, Jacob, Luke, Penelope, and Aurora. Mia said that Jacob is a knight or Luke is a knave. Jacob asserted: \"If Mia is a knave then Penelope is a knight\". Luke noted, \"Aurora is a knight and Penelope is a knave\". \"Mia is a knave,\" Penelope declared. Aurora said that Jacob is not a knight. So who is a knight and who is a knave?", "names": ["Mia", "Jacob", "Luke", "Penelope", "Aurora"], "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": "Mia is a knight, Jacob is a knight, Luke is a knave, Penelope is a knave, and Aurora is a knave.", "solution_text_format": "(1) Mia is a knight\n(2) Jacob is a knight\n(3) Luke is a knave\n(4) Penelope is a knave\n(5) Aurora is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Mia is a knight. No contradiction is found in their claim that Jacob is a knight or Luke is a knave.", "Assume Jacob is a knight. No contradiction is found in their claim that If Mia is a knave then Penelope is a knight.", "Penelope cannot be a knight, because this would contradict the claim of their own that Mia is a knave.", "Assume Penelope is a knave. No contradiction is found in their false claim that Mia is a knave.", "Assume Luke is a knight. No contradiction is found in their claim that Aurora is a knight and Penelope is a knave.", "Aurora cannot be a knight, because this would contradict the claim of their own that Jacob is not a knight.", "Aurora cannot be a knave, because this would contradict the claim of Luke that Aurora is a knight and Penelope is a knave.", "We have exhausted all possibilities for Aurora, so let us go back and reconsider Luke.", "Assume Luke is a knave. No contradiction is found in their false claim that Aurora is a knight and Penelope is a knave.", "Aurora cannot be a knight, because this would contradict the false claim of Luke that Aurora is a knight and Penelope is a knave.", "Assume Aurora is a knave. No contradiction is found in their false claim that Jacob is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 1), ('lying', 2)), ('->', ('lying', 0), ('telling-truth', 3)), ('and', ('telling-truth', 4), ('lying', 3)), ('lying', 0), ('not', ('telling-truth', 1)))", "index": 317}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Riley, Samuel, Sofia, Michael, and Ava. Riley asserted: \"Ava is a knight if and only if Sofia is a knave\". Samuel said, \"Sofia is a knight.\" Sofia said that Ava is a knave and Michael is a knave. Michael noted, \"If Ava is a knight then Sofia is a knight\". Ava said, \"Samuel is a knave or Sofia is a knight.\" So who is a knight and who is a knave?", "names": ["Riley", "Samuel", "Sofia", "Michael", "Ava"], "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": "Riley is a knight, Samuel is a knave, Sofia is a knave, Michael is a knave, and Ava is a knight.", "solution_text_format": "(1) Riley is a knight\n(2) Samuel is a knave\n(3) Sofia is a knave\n(4) Michael is a knave\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 Riley is a knight. No contradiction is found in their claim that Ava is a knight if and only if Sofia is a knave.", "Assume Ava is a knight. No contradiction is found in their claim that Samuel is a knave or Sofia is a knight.", "Assume Samuel is a knight. No contradiction is found in their claim that Sofia is a knight.", "Sofia cannot be a knight, because this would contradict the claim of Riley that Ava is a knight if and only if Sofia is a knave.", "Sofia cannot be a knave, because this would contradict the claim of Samuel that Sofia is a knight.", "We have exhausted all possibilities for Sofia, so let us go back and reconsider Samuel.", "Assume Samuel is a knave. No contradiction is found in their false claim that Sofia is a knight.", "Sofia cannot be a knight, because this would contradict the claim of Riley that Ava is a knight if and only if Sofia is a knave.", "Assume Sofia is a knave. No contradiction is found in their false claim that Ava is a knave and Michael is a knave.", "Michael cannot be a knight, because this would contradict the claim of their own that If Ava is a knight then Sofia is a knight.", "Assume Michael is a knave. No contradiction is found in their false claim that If Ava is a knight then Sofia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 4), ('lying', 2)), ('telling-truth', 2), ('and', ('lying', 4), ('lying', 3)), ('->', ('telling-truth', 4), ('telling-truth', 2)), ('or', ('lying', 1), ('telling-truth', 2)))", "index": 318}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Chloe, Benjamin, Ethan, Avery, and Emma. In Chloe's words: \"Ethan is a knave if and only if Benjamin is a knave\". \"Chloe is not a knight,\" Benjamin mentioned. Ethan remarked, \"If Benjamin is a knave then Chloe is a knave\". Avery commented, \"Benjamin is a knave if and only if Emma is a knave\". Emma said, \"Avery is a knight or Chloe is a knight.\" So who is a knight and who is a knave?", "names": ["Chloe", "Benjamin", "Ethan", "Avery", "Emma"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false, true], "solution_text": "Chloe is a knight, Benjamin is a knave, Ethan is a knave, Avery is a knave, and Emma is a knight.", "solution_text_format": "(1) Chloe is a knight\n(2) Benjamin is a knave\n(3) Ethan is a knave\n(4) Avery is a knave\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 Chloe is a knight. No contradiction is found in their claim that Ethan is a knave if and only if Benjamin is a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that If Benjamin is a knave then Chloe is a knave.", "Benjamin cannot be a knight, because this would contradict the claim of their own that Chloe is not a knight.", "Benjamin cannot be a knave, because this would contradict the claim of Chloe that Ethan is a knave if and only if Benjamin is a knave.", "We have exhausted all possibilities for Benjamin, so let us go back and reconsider Ethan.", "Assume Ethan is a knave. No contradiction is found in their false claim that If Benjamin is a knave then Chloe is a knave.", "Benjamin cannot be a knight, because this would contradict the claim of Chloe that Ethan is a knave if and only if Benjamin is a knave.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Chloe is not a knight.", "Assume Avery is a knight. No contradiction is found in their claim that Benjamin is a knave if and only if Emma is a knave.", "Emma cannot be a knight, because this would contradict the claim of Avery that Benjamin is a knave if and only if Emma is a knave.", "Emma cannot be a knave, because this would contradict the false claim of their own that Avery is a knight or Chloe is a knight.", "We have exhausted all possibilities for Emma, so let us go back and reconsider Avery.", "Assume Avery is a knave. No contradiction is found in their false claim that Benjamin is a knave if and only if Emma is a knave.", "Assume Emma is a knight. No contradiction is found in their claim that Avery is a knight or Chloe is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 2), ('lying', 1)), ('not', ('telling-truth', 0)), ('->', ('lying', 1), ('lying', 0)), ('<=>', ('lying', 1), ('lying', 4)), ('or', ('telling-truth', 3), ('telling-truth', 0)))", "index": 319}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Jackson, Amelia, Aurora, David, and Jack. Jackson noted, \"Jack is a knave if and only if Jack is a knight\". Amelia said, \"If Aurora is a knave then David is a knave.\" Aurora said that David is a knave. David commented, \"Jack is a knight and Jackson is a knight\". \"Aurora is not a knight\" - Jack. So who is a knight and who is a knave?", "names": ["Jackson", "Amelia", "Aurora", "David", "Jack"], "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": "Jackson is a knave, Amelia is a knight, Aurora is a knight, David is a knave, and Jack is a knave.", "solution_text_format": "(1) Jackson is a knave\n(2) Amelia is a knight\n(3) Aurora is a knight\n(4) David 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": ["Jackson cannot be a knight, because this would contradict the claim of their own that Jack is a knave if and only if Jack is a knight.", "Assume Jackson is a knave. No contradiction is found in their false claim that Jack is a knave if and only if Jack is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that Aurora is not a knight.", "Aurora cannot be a knight, because this would contradict the claim of Jack that Aurora is not a knight.", "Assume Aurora 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 Jack is a knight and Jackson is a knight.", "David cannot be a knave, because this would contradict the false claim of Aurora that David is a knave.", "We have exhausted all possibilities for David and Aurora, so let us go back and reconsider Jack.", "Assume Jack is a knave. No contradiction is found in their false claim that Aurora is not a knight.", "Assume Aurora 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 Aurora that David is a knave.", "Assume David is a knave. No contradiction is found in their false claim that Jack is a knight and Jackson is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that If Aurora is a knave then David is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 4), ('telling-truth', 4)), ('->', ('lying', 2), ('lying', 3)), ('lying', 3), ('and', ('telling-truth', 4), ('telling-truth', 0)), ('not', ('telling-truth', 2)))", "index": 320}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Ella, Elizabeth, Henry, Grace, and Luke. Ella expressed that Henry is a knave or Elizabeth is a knight. In a statement by Elizabeth: \"Grace is a knave if and only if Ella is a knight\". Henry expressed that Elizabeth is a knave and Luke is a knave. Grace commented, \"Ella is a knave and Luke is a knave\". \"Ella is not a knave,\" Luke declared. So who is a knight and who is a knave?", "names": ["Ella", "Elizabeth", "Henry", "Grace", "Luke"], "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": "Ella is a knight, Elizabeth is a knight, Henry is a knave, Grace is a knave, and Luke is a knight.", "solution_text_format": "(1) Ella is a knight\n(2) Elizabeth is a knight\n(3) Henry is a knave\n(4) Grace 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 Ella is a knight. No contradiction is found in their claim that Henry is a knave or Elizabeth is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that Elizabeth is a knave and Luke is a knave.", "Elizabeth cannot be a knight, because this would contradict the claim of Henry that Elizabeth is a knave and Luke is a knave.", "Elizabeth cannot be a knave, because this would contradict the claim of Ella that Henry is a knave or Elizabeth is a knight.", "We have exhausted all possibilities for Elizabeth, so let us go back and reconsider Henry.", "Assume Henry is a knave. No contradiction is found in their false claim that Elizabeth is a knave and Luke is a knave.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Grace is a knave if and only if Ella is a knight.", "Grace cannot be a knight, because this would contradict the claim of Elizabeth that Grace is a knave if and only if Ella is a knight.", "Assume Grace is a knave. No contradiction is found in their false claim that Ella is a knave and Luke is a knave.", "Assume Luke is a knight. No contradiction is found in their claim that Ella is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 2), ('telling-truth', 1)), ('<=>', ('lying', 3), ('telling-truth', 0)), ('and', ('lying', 1), ('lying', 4)), ('and', ('lying', 0), ('lying', 4)), ('not', ('lying', 0)))", "index": 321}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Owen, Jack, Alexander, Sofia, and Mia. In a statement by Owen: \"Mia is a knight if and only if Sofia is a knight\". Jack told you that If Owen is a knight then Mia is a knave. Alexander noted, \"Owen is a knight\". Sofia stated, \"Sofia is a knight and Jack is a knave\". Mia commented, \"Owen is not a knave\". So who is a knight and who is a knave?", "names": ["Owen", "Jack", "Alexander", "Sofia", "Mia"], "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": "Owen is a knight, Jack is a knave, Alexander is a knight, Sofia is a knight, and Mia is a knight.", "solution_text_format": "(1) Owen is a knight\n(2) Jack is a knave\n(3) Alexander is a knight\n(4) Sofia is a knight\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 Owen is a knight. No contradiction is found in their claim that Mia is a knight if and only if Sofia is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that Owen is not a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that Sofia is a knight and Jack is a knave.", "Jack cannot be a knight, because this would contradict the claim of their own that If Owen is a knight then Mia is a knave.", "Assume Jack is a knave. No contradiction is found in their false claim that If Owen is a knight then Mia is a knave.", "Assume Alexander is a knight. No contradiction is found in their claim that Owen is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 4), ('telling-truth', 3)), ('->', ('telling-truth', 0), ('lying', 4)), ('telling-truth', 0), ('and', ('telling-truth', 3), ('lying', 1)), ('not', ('lying', 0)))", "index": 322}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Alexander, Samuel, Isabella, Aurora, and Joseph. Alexander remarked, \"Isabella is a knave\". Samuel remarked, \"Joseph is a knight\". Isabella expressed that Alexander is not a knight. According to Aurora, \"If Isabella is a knight then Samuel is a knight\". As Joseph put it, \"Aurora is a knight if and only if Isabella is a knave\". So who is a knight and who is a knave?", "names": ["Alexander", "Samuel", "Isabella", "Aurora", "Joseph"], "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": "Alexander is a knight, Samuel is a knight, Isabella is a knave, Aurora is a knight, and Joseph is a knight.", "solution_text_format": "(1) Alexander is a knight\n(2) Samuel is a knight\n(3) Isabella is a knave\n(4) Aurora is a knight\n(5) Joseph is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Alexander is a knight. No contradiction is found in their claim that Isabella is a knave.", "Isabella cannot be a knight, because this would contradict the claim of Alexander that Isabella is a knave.", "Assume Isabella is a knave. No contradiction is found in their false claim that Alexander is not a knight.", "Assume Samuel is a knight. No contradiction is found in their claim that Joseph is a knight.", "Assume Joseph is a knight. No contradiction is found in their claim that Aurora is a knight if and only if Isabella is a knave.", "Assume Aurora is a knight. No contradiction is found in their claim that If Isabella is a knight then Samuel is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 2), ('telling-truth', 4), ('not', ('telling-truth', 0)), ('->', ('telling-truth', 2), ('telling-truth', 1)), ('<=>', ('telling-truth', 3), ('lying', 2)))", "index": 323}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Abigail, Ava, Benjamin, Michael, and Riley. In a statement by Abigail: \"Riley is a knave and Abigail is a knight\". Ava remarked, \"Benjamin is a knave if and only if Riley is a knight\". Benjamin expressed that Abigail is a knight. \"Abigail is a knight,\" Michael claimed. Riley stated, \"Michael is a knave or Abigail is a knight\". So who is a knight and who is a knave?", "names": ["Abigail", "Ava", "Benjamin", "Michael", "Riley"], "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": "Abigail is a knave, Ava is a knight, Benjamin is a knave, Michael is a knave, and Riley is a knight.", "solution_text_format": "(1) Abigail is a knave\n(2) Ava is a knight\n(3) Benjamin is a knave\n(4) Michael is a knave\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 Abigail is a knight. No contradiction is found in their claim that Riley is a knave and Abigail is a knight.", "Riley cannot be a knight, because this would contradict the claim of Abigail that Riley is a knave and Abigail is a knight.", "Riley cannot be a knave, because this would contradict the false claim of their own that Michael is a knave or Abigail is a knight.", "We have exhausted all possibilities for Riley, so let us go back and reconsider Abigail.", "Assume Abigail is a knave. No contradiction is found in their false claim that Riley is a knave and Abigail is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that Michael is a knave or Abigail is a knight.", "Michael cannot be a knight, because this would contradict the claim of their own that Abigail is a knight.", "Assume Michael is a knave. No contradiction is found in their false claim that Abigail is a knight.", "Assume Ava is a knight. No contradiction is found in their claim that Benjamin is a knave if and only if Riley is a knight.", "Benjamin cannot be a knight, because this would contradict the claim of Ava that Benjamin is a knave if and only if Riley is a knight.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Abigail is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 4), ('telling-truth', 0)), ('<=>', ('lying', 2), ('telling-truth', 4)), ('telling-truth', 0), ('telling-truth', 0), ('or', ('lying', 3), ('telling-truth', 0)))", "index": 324}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Lucas, Jack, Oliver, Ava, and Amelia. Lucas commented, \"Ava is a knight or Amelia is a knave\". According to Jack, \"If Lucas is a knave then Ava is a knight\". In Oliver's words: \"Lucas is a knight and Oliver is a knight\". Ava commented, \"Amelia is a knave or Jack is a knave\". Amelia remarked, \"Oliver is a knave and Ava is a knight\". So who is a knight and who is a knave?", "names": ["Lucas", "Jack", "Oliver", "Ava", "Amelia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, false], "solution_text": "Lucas is a knight, Jack is a knight, Oliver is a knight, Ava is a knight, and Amelia is a knave.", "solution_text_format": "(1) Lucas is a knight\n(2) Jack is a knight\n(3) Oliver is a knight\n(4) Ava is a knight\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 Lucas is a knight. No contradiction is found in their claim that Ava is a knight or Amelia is a knave.", "Assume Ava is a knight. No contradiction is found in their claim that Amelia is a knave or Jack is a knave.", "Assume Amelia is a knight. No contradiction is found in their claim that Oliver is a knave and Ava is a knight.", "Oliver cannot be a knight, because this would contradict the claim of Amelia that Oliver is a knave and Ava is a knight.", "Assume Oliver is a knave. No contradiction is found in their false claim that Lucas is a knight and Oliver is a knight.", "Jack cannot be a knight, because this would contradict the claim of Ava that Amelia is a knave or Jack is a knave.", "Jack cannot be a knave, because this would contradict the false claim of their own that If Lucas is a knave then Ava is a knight.", "We have exhausted all possibilities for Jack and Oliver, so let us go back and reconsider Amelia.", "Assume Amelia is a knave. No contradiction is found in their false claim that Oliver is a knave and Ava is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that Lucas is a knight and Oliver is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that If Lucas is a knave then Ava is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 3), ('lying', 4)), ('->', ('lying', 0), ('telling-truth', 3)), ('and', ('telling-truth', 0), ('telling-truth', 2)), ('or', ('lying', 4), ('lying', 1)), ('and', ('lying', 2), ('telling-truth', 3)))", "index": 325}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Sebastian, Ava, Daniel, Evelyn, and Samuel. Sebastian expressed that If Evelyn is a knight then Evelyn is a knave. According to Ava, \"Evelyn is a knave\". Daniel was heard saying, \"Ava is a knave or Evelyn is a knave\". Evelyn told you that Samuel is a knight. Samuel asserted: \"If Daniel is a knave then Evelyn is a knight\". So who is a knight and who is a knave?", "names": ["Sebastian", "Ava", "Daniel", "Evelyn", "Samuel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true, true], "solution_text": "Sebastian is a knave, Ava is a knave, Daniel is a knight, Evelyn is a knight, and Samuel is a knight.", "solution_text_format": "(1) Sebastian is a knave\n(2) Ava is a knave\n(3) Daniel is a knight\n(4) Evelyn is a knight\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 Sebastian is a knight. No contradiction is found in their claim that If Evelyn is a knight then Evelyn is a knave.", "Evelyn cannot be a knight, because this would contradict the claim of Sebastian that If Evelyn is a knight then Evelyn is a knave.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Samuel is a knight.", "Samuel cannot be a knight, because this would contradict the false claim of Evelyn that Samuel is a knight.", "Assume Samuel is a knave. No contradiction is found in their false claim that If Daniel is a knave then Evelyn is a knight.", "Daniel cannot be a knight, because this would contradict the false claim of Samuel that If Daniel is a knave then Evelyn is a knight.", "Daniel cannot be a knave, because this would contradict the false claim of their own that Ava is a knave or Evelyn is a knave.", "We have exhausted all possibilities for Daniel, Samuel, and Evelyn, so let us go back and reconsider Sebastian.", "Assume Sebastian is a knave. No contradiction is found in their false claim that If Evelyn is a knight then Evelyn is a knave.", "Assume Evelyn is a knight. No contradiction is found in their claim that Samuel is a knight.", "Assume Samuel is a knight. No contradiction is found in their claim that If Daniel is a knave then Evelyn is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that Ava is a knave or Evelyn is a knave.", "Ava cannot be a knight, because this would contradict the claim of their own that Evelyn is a knave.", "Assume Ava is a knave. No contradiction is found in their false claim that Evelyn is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 3), ('lying', 3)), ('lying', 3), ('or', ('lying', 1), ('lying', 3)), ('telling-truth', 4), ('->', ('lying', 2), ('telling-truth', 3)))", "index": 326}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Chloe, Mia, Jackson, Emily, and James. Chloe said, \"Emily is not a knave.\" \"James is a knave or Chloe is a knight,\" Mia declared. Jackson was heard saying, \"If Mia is a knave then Jackson is a knight\". \"Chloe is a knave or Jackson is a knight\" - Emily. James asserted: \"Jackson is not a knave\". So who is a knight and who is a knave?", "names": ["Chloe", "Mia", "Jackson", "Emily", "James"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, true], "solution_text": "Chloe is a knight, Mia is a knight, Jackson is a knight, Emily is a knight, and James is a knight.", "solution_text_format": "(1) Chloe is a knight\n(2) Mia is a knight\n(3) Jackson is a knight\n(4) Emily is a knight\n(5) James is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Chloe is a knight. No contradiction is found in their claim that Emily is not a knave.", "Assume Emily is a knight. No contradiction is found in their claim that Chloe is a knave or Jackson is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that If Mia is a knave then Jackson is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that James is a knave or Chloe is a knight.", "Assume James is a knight. No contradiction is found in their claim that Jackson is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 3)), ('or', ('lying', 4), ('telling-truth', 0)), ('->', ('lying', 1), ('telling-truth', 2)), ('or', ('lying', 0), ('telling-truth', 2)), ('not', ('lying', 2)))", "index": 327}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Avery, Evelyn, Emily, Noah, and Ava. \"Evelyn is a knight and Ava is a knight,\" Avery claimed. Evelyn said, \"Ava is a knave if and only if Avery is a knight.\" Emily was heard saying, \"Evelyn is a knight and Avery is a knight\". In a statement by Noah: \"Evelyn is a knave\". Ava expressed that Avery is not a knave. So who is a knight and who is a knave?", "names": ["Avery", "Evelyn", "Emily", "Noah", "Ava"], "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": "Avery is a knave, Evelyn is a knave, Emily is a knave, Noah is a knight, and Ava is a knave.", "solution_text_format": "(1) Avery is a knave\n(2) Evelyn is a knave\n(3) Emily is a knave\n(4) Noah 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 Avery is a knight. No contradiction is found in their claim that Evelyn is a knight and Ava is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that Ava is a knave if and only if Avery is a knight.", "Ava cannot be a knight, because this would contradict the claim of Evelyn that Ava is a knave if and only if Avery is a knight.", "Ava cannot be a knave, because this would contradict the claim of Avery that Evelyn is a knight and Ava is a knight.", "We have exhausted all possibilities for Ava, so let us go back and reconsider Evelyn.", "Evelyn cannot be a knave, because this would contradict the claim of Avery that Evelyn is a knight and Ava is a knight.", "We have exhausted all possibilities for Evelyn, so let us go back and reconsider Avery.", "Assume Avery is a knave. No contradiction is found in their false claim that Evelyn is a knight and Ava is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that Ava is a knave if and only if Avery is a knight.", "Ava cannot be a knight, because this would contradict the false claim of Avery that Evelyn is a knight and Ava is a knight.", "Ava cannot be a knave, because this would contradict the claim of Evelyn that Ava is a knave if and only if Avery is a knight.", "We have exhausted all possibilities for Ava, so let us go back and reconsider Evelyn.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Ava is a knave if and only if Avery is a knight.", "Ava cannot be a knight, because this would contradict the false claim of Evelyn that Ava is a knave if and only if Avery is a knight.", "Assume Ava is a knave. No contradiction is found in their false claim that Avery is not a knave.", "Emily cannot be a knight, because this would contradict the claim of their own that Evelyn is a knight and Avery is a knight.", "Assume Emily is a knave. No contradiction is found in their false claim that Evelyn is a knight and Avery is a knight.", "Assume Noah is a knight. No contradiction is found in their claim that Evelyn is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('telling-truth', 4)), ('<=>', ('lying', 4), ('telling-truth', 0)), ('and', ('telling-truth', 1), ('telling-truth', 0)), ('lying', 1), ('not', ('lying', 0)))", "index": 328}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Scarlett, Sofia, Zoey, Matthew, and Henry. Scarlett said that If Henry is a knight then Henry is a knave. Sofia told you that Zoey is a knave and Henry is a knight. In Zoey's words: \"If Sofia is a knight then Henry is a knave\". Matthew was heard saying, \"If Scarlett is a knave then Henry is a knave\". Henry remarked, \"Zoey is a knight if and only if Sofia is a knight\". So who is a knight and who is a knave?", "names": ["Scarlett", "Sofia", "Zoey", "Matthew", "Henry"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, false], "solution_text": "Scarlett is a knight, Sofia is a knave, Zoey is a knight, Matthew is a knight, and Henry is a knave.", "solution_text_format": "(1) Scarlett is a knight\n(2) Sofia is a knave\n(3) Zoey is a knight\n(4) Matthew is a knight\n(5) Henry is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Scarlett is a knight. No contradiction is found in their claim that If Henry is a knight then Henry is a knave.", "Henry cannot be a knight, because this would contradict the claim of Scarlett 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 Zoey is a knight if and only if Sofia is a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that If Sofia is a knight then Henry is a knave.", "Sofia cannot be a knight, because this would contradict the claim of their own that Zoey is a knave and Henry is a knight.", "Assume Sofia is a knave. No contradiction is found in their false claim that Zoey is a knave and Henry is a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that If Scarlett is a knave then Henry is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 4), ('lying', 4)), ('and', ('lying', 2), ('telling-truth', 4)), ('->', ('telling-truth', 1), ('lying', 4)), ('->', ('lying', 0), ('lying', 4)), ('<=>', ('telling-truth', 2), ('telling-truth', 1)))", "index": 329}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Chloe, Mason, Oliver, Matthew, and Charlotte. \"Charlotte is a knave and Mason is a knight,\" Chloe mentioned. In Mason's words: \"Charlotte is a knight and Matthew is a knight\". Oliver commented, \"Matthew is not a knave\". \"If Mason is a knight then Matthew is a knight,\" Matthew declared. \"Chloe is a knight\" - Charlotte. So who is a knight and who is a knave?", "names": ["Chloe", "Mason", "Oliver", "Matthew", "Charlotte"], "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": "Chloe is a knave, Mason is a knave, Oliver is a knight, Matthew is a knight, and Charlotte is a knave.", "solution_text_format": "(1) Chloe is a knave\n(2) Mason is a knave\n(3) Oliver is a knight\n(4) Matthew is a knight\n(5) Charlotte is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Chloe is a knight. No contradiction is found in their claim that Charlotte is a knave and Mason is a knight.", "Charlotte cannot be a knight, because this would contradict the claim of Chloe that Charlotte is a knave and Mason is a knight.", "Charlotte cannot be a knave, because this would contradict the false claim of their own that Chloe is a knight.", "We have exhausted all possibilities for Charlotte, so let us go back and reconsider Chloe.", "Assume Chloe is a knave. No contradiction is found in their false claim that Charlotte is a knave and Mason is a knight.", "Charlotte cannot be a knight, because this would contradict the claim of their own that Chloe is a knight.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Chloe is a knight.", "Mason cannot be a knight, because this would contradict the false claim of Chloe that Charlotte is a knave and Mason is a knight.", "Assume Mason is a knave. No contradiction is found in their false claim that Charlotte is a knight and Matthew is a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that If Mason is a knight then Matthew is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that Matthew is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 4), ('telling-truth', 1)), ('and', ('telling-truth', 4), ('telling-truth', 3)), ('not', ('lying', 3)), ('->', ('telling-truth', 1), ('telling-truth', 3)), ('telling-truth', 0))", "index": 330}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: William, Charlotte, Michael, Oliver, and Chloe. William asserted: \"If Chloe is a knight then Charlotte is a knave\". According to Charlotte, \"Chloe is a knight or William is a knight\". \"William is a knave\" - Michael. According to Oliver, \"Charlotte is a knight and Chloe is a knight\". \"Michael is a knight if and only if William is a knight,\" Chloe claimed. So who is a knight and who is a knave?", "names": ["William", "Charlotte", "Michael", "Oliver", "Chloe"], "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": "William is a knight, Charlotte is a knight, Michael is a knave, Oliver is a knave, and Chloe is a knave.", "solution_text_format": "(1) William is a knight\n(2) Charlotte is a knight\n(3) Michael is a knave\n(4) Oliver is a knave\n(5) Chloe is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume William is a knight. No contradiction is found in their claim that If Chloe is a knight then Charlotte is a knave.", "Assume Chloe is a knight. No contradiction is found in their claim that Michael is a knight if and only if William is a knight.", "Michael cannot be a knight, because this would contradict the claim of their own that William is a knave.", "Michael cannot be a knave, because this would contradict the claim of Chloe that Michael is a knight if and only if William is a knight.", "We have exhausted all possibilities for Michael, so let us go back and reconsider Chloe.", "Assume Chloe is a knave. No contradiction is found in their false claim that Michael is a knight if and only if William is a knight.", "Michael cannot be a knight, because this would contradict the claim of their own that William is a knave.", "Assume Michael is a knave. No contradiction is found in their false claim that William is a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that Chloe is a knight or William is a knight.", "Oliver cannot be a knight, because this would contradict the claim of their own that Charlotte is a knight and Chloe is a knight.", "Assume Oliver is a knave. No contradiction is found in their false claim that Charlotte is a knight and Chloe is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 4), ('lying', 1)), ('or', ('telling-truth', 4), ('telling-truth', 0)), ('lying', 0), ('and', ('telling-truth', 1), ('telling-truth', 4)), ('<=>', ('telling-truth', 2), ('telling-truth', 0)))", "index": 331}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Isabella, Emily, Penelope, Jacob, and Owen. Isabella noted, \"Owen is a knave and Jacob is a knight\". Emily was heard saying, \"Jacob is a knave if and only if Isabella is a knight\". \"Owen is a knight or Emily is a knight,\" Penelope mentioned. According to Jacob, \"Owen is a knave\". In Owen's words: \"Isabella is a knight or Owen is a knight\". So who is a knight and who is a knave?", "names": ["Isabella", "Emily", "Penelope", "Jacob", "Owen"], "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": "Isabella is a knave, Emily is a knave, Penelope is a knight, Jacob is a knave, and Owen is a knight.", "solution_text_format": "(1) Isabella is a knave\n(2) Emily is a knave\n(3) Penelope is a knight\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 Isabella is a knight. No contradiction is found in their claim that Owen is a knave and Jacob is a knight.", "Owen cannot be a knight, because this would contradict the claim of Isabella that Owen is a knave and Jacob is a knight.", "Owen cannot be a knave, because this would contradict the false claim of their own that Isabella is a knight or Owen is a knight.", "We have exhausted all possibilities for Owen, so let us go back and reconsider Isabella.", "Assume Isabella is a knave. No contradiction is found in their false claim that Owen is a knave and Jacob is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that Isabella is a knight or Owen is a knight.", "Jacob cannot be a knight, because this would contradict the claim of their own that Owen is a knave.", "Assume Jacob is a knave. No contradiction is found in their false claim that Owen is a knave.", "Emily cannot be a knight, because this would contradict the claim of their own that Jacob is a knave if and only if Isabella is a knight.", "Assume Emily is a knave. No contradiction is found in their false claim that Jacob is a knave if and only if Isabella is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that Owen is a knight or Emily is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 4), ('telling-truth', 3)), ('<=>', ('lying', 3), ('telling-truth', 0)), ('or', ('telling-truth', 4), ('telling-truth', 1)), ('lying', 4), ('or', ('telling-truth', 0), ('telling-truth', 4)))", "index": 332}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Emily, Jack, Sophia, Benjamin, and Elizabeth. \"Emily is a knight and Elizabeth is a knave\" - Emily. \"Elizabeth is not a knave,\" Jack claimed. Sophia expressed that If Elizabeth is a knight then Emily is a knave. Benjamin said that Elizabeth is a knight or Sophia is a knave. \"Emily is a knave and Benjamin is a knave\" - Elizabeth. So who is a knight and who is a knave?", "names": ["Emily", "Jack", "Sophia", "Benjamin", "Elizabeth"], "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": "Emily is a knight, Jack is a knave, Sophia is a knight, Benjamin is a knave, and Elizabeth is a knave.", "solution_text_format": "(1) Emily is a knight\n(2) Jack is a knave\n(3) Sophia is a knight\n(4) Benjamin is a knave\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 Emily is a knight. No contradiction is found in their claim that Emily is a knight and Elizabeth is a knave.", "Elizabeth cannot be a knight, because this would contradict the claim of Emily that Emily is a knight and Elizabeth is a knave.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Emily is a knave and Benjamin is a knave.", "Assume Benjamin is a knight. No contradiction is found in their claim that Elizabeth is a knight or Sophia is a knave.", "Sophia cannot be a knight, because this would contradict the claim of Benjamin that Elizabeth is a knight or Sophia is a knave.", "Sophia cannot be a knave, because this would contradict the false claim of their own that If Elizabeth is a knight then Emily is a knave.", "We have exhausted all possibilities for Sophia, so let us go back and reconsider Benjamin.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Elizabeth is a knight or Sophia is a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that If Elizabeth is a knight then Emily is a knave.", "Jack cannot be a knight, because this would contradict the claim of their own that Elizabeth is not a knave.", "Assume Jack is a knave. No contradiction is found in their false claim that Elizabeth is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 0), ('lying', 4)), ('not', ('lying', 4)), ('->', ('telling-truth', 4), ('lying', 0)), ('or', ('telling-truth', 4), ('lying', 2)), ('and', ('lying', 0), ('lying', 3)))", "index": 333}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Charlotte, Harper, Oliver, Matthew, and Daniel. Charlotte stated, \"Daniel is a knave or Harper is a knave\". Harper asserted: \"Oliver is a knave and Charlotte is a knight\". Oliver stated, \"Oliver is a knight and Daniel is a knave\". Matthew said that Oliver is a knight. As Daniel put it, \"If Charlotte is a knight then Matthew is a knight\". So who is a knight and who is a knave?", "names": ["Charlotte", "Harper", "Oliver", "Matthew", "Daniel"], "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": "Charlotte is a knight, Harper is a knight, Oliver is a knave, Matthew is a knave, and Daniel is a knave.", "solution_text_format": "(1) Charlotte is a knight\n(2) Harper is a knight\n(3) Oliver is a knave\n(4) Matthew 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 Charlotte is a knight. No contradiction is found in their claim that Daniel is a knave or Harper is a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that If Charlotte is a knight then Matthew is a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that Oliver is a knight.", "Oliver cannot be a knight, because this would contradict the claim of their own that Oliver is a knight and Daniel is a knave.", "Oliver cannot be a knave, because this would contradict the claim of Matthew that Oliver is a knight.", "We have exhausted all possibilities for Oliver, so let us go back and reconsider Matthew.", "Matthew cannot be a knave, because this would contradict the claim of Daniel that If Charlotte is a knight then Matthew is a knight.", "We have exhausted all possibilities for Matthew, so let us go back and reconsider Daniel.", "Assume Daniel is a knave. No contradiction is found in their false claim that If Charlotte is a knight then Matthew is a knight.", "Matthew cannot be a knight, because this would contradict the false claim of Daniel that If Charlotte is a knight then Matthew is a knight.", "Assume Matthew is a knave. No contradiction is found in their false claim that Oliver is a knight.", "Oliver cannot be a knight, because this would contradict the false claim of Matthew that Oliver is a knight.", "Assume Oliver is a knave. No contradiction is found in their false claim that Oliver is a knight and Daniel is a knave.", "Assume Harper is a knight. No contradiction is found in their claim that Oliver is a knave and Charlotte is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 4), ('lying', 1)), ('and', ('lying', 2), ('telling-truth', 0)), ('and', ('telling-truth', 2), ('lying', 4)), ('telling-truth', 2), ('->', ('telling-truth', 0), ('telling-truth', 3)))", "index": 334}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Mia, Penelope, Ella, Charlotte, and Riley. \"Ella is a knave,\" Mia declared. In Penelope's words: \"Penelope is a knight\". \"Riley is a knight if and only if Penelope is a knave\" - Ella. Charlotte told you that Ella is not a knave. Riley said that If Penelope is a knight then Charlotte is a knight. So who is a knight and who is a knave?", "names": ["Mia", "Penelope", "Ella", "Charlotte", "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": "Mia is a knave, Penelope is a knave, Ella is a knight, Charlotte is a knight, and Riley is a knight.", "solution_text_format": "(1) Mia is a knave\n(2) Penelope is a knave\n(3) Ella is a knight\n(4) Charlotte 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 Mia is a knight. No contradiction is found in their claim that Ella is a knave.", "Ella cannot be a knight, because this would contradict the claim of Mia that Ella is a knave.", "Assume Ella is a knave. No contradiction is found in their false claim that Riley is a knight if and only if Penelope is a knave.", "Assume Riley is a knight. No contradiction is found in their claim that If Penelope is a knight then Charlotte is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that Penelope is a knight.", "Charlotte cannot be a knight, because this would contradict the claim of their own that Ella is not a knave.", "Charlotte cannot be a knave, because this would contradict the claim of Riley that If Penelope is a knight then Charlotte is a knight.", "We have exhausted all possibilities for Charlotte, so let us go back and reconsider Penelope.", "Penelope cannot be a knave, because this would contradict the false claim of Ella that Riley is a knight if and only if Penelope is a knave.", "We have exhausted all possibilities for Penelope, so let us go back and reconsider Riley.", "Assume Riley is a knave. No contradiction is found in their false claim that If Penelope is a knight then Charlotte is a knight.", "Penelope cannot be a knight, because this would contradict the false claim of Ella that Riley is a knight if and only if Penelope is a knave.", "Penelope cannot be a knave, because this would contradict the false claim of Riley that If Penelope is a knight then Charlotte is a knight.", "We have exhausted all possibilities for Penelope, Riley, and Ella, so let us go back and reconsider Mia.", "Assume Mia is a knave. No contradiction is found in their false claim that Ella is a knave.", "Assume Ella is a knight. No contradiction is found in their claim that Riley is a knight if and only if Penelope is a knave.", "Assume Riley is a knight. No contradiction is found in their claim that If Penelope is a knight then Charlotte is a knight.", "Penelope cannot be a knight, because this would contradict the claim of Ella that Riley is a knight if and only if Penelope is a knave.", "Assume Penelope is a knave. No contradiction is found in their false claim that Penelope is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that Ella is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 2), ('telling-truth', 1), ('<=>', ('telling-truth', 4), ('lying', 1)), ('not', ('lying', 2)), ('->', ('telling-truth', 1), ('telling-truth', 3)))", "index": 335}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Owen, Noah, Chloe, Henry, and Mason. As Owen put it, \"If Noah is a knave then Chloe is a knave\". Noah noted, \"If Noah is a knight then Mason is a knight\". Chloe said that Henry is a knight if and only if Mason is a knight. In Henry's words: \"Chloe is a knight and Noah is a knight\". Mason was heard saying, \"Chloe is a knight if and only if Owen is a knight\". So who is a knight and who is a knave?", "names": ["Owen", "Noah", "Chloe", "Henry", "Mason"], "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": "Owen is a knight, Noah is a knight, Chloe is a knight, Henry is a knight, and Mason is a knight.", "solution_text_format": "(1) Owen is a knight\n(2) Noah is a knight\n(3) Chloe is a knight\n(4) Henry is a knight\n(5) Mason is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Owen is a knight. No contradiction is found in their claim that If Noah is a knave then Chloe is a knave.", "Assume Noah is a knight. No contradiction is found in their claim that If Noah is a knight then Mason is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that Chloe is a knight if and only if Owen is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that Henry is a knight if and only if Mason is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that Chloe is a knight and Noah is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 1), ('lying', 2)), ('->', ('telling-truth', 1), ('telling-truth', 4)), ('<=>', ('telling-truth', 3), ('telling-truth', 4)), ('and', ('telling-truth', 2), ('telling-truth', 1)), ('<=>', ('telling-truth', 2), ('telling-truth', 0)))", "index": 336}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Lily, Evelyn, Michael, Luke, and Emma. \"Luke is a knave,\" Lily declared. \"If Evelyn is a knight then Luke is a knave,\" Evelyn mentioned. Michael told you that If Luke is a knave then Michael is a knight. Luke expressed that Michael is a knight or Luke is a knight. In a statement by Emma: \"Michael is a knight if and only if Michael is a knave\". So who is a knight and who is a knave?", "names": ["Lily", "Evelyn", "Michael", "Luke", "Emma"], "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": "Lily is a knight, Evelyn is a knight, Michael is a knave, Luke is a knave, and Emma is a knave.", "solution_text_format": "(1) Lily is a knight\n(2) Evelyn is a knight\n(3) Michael is a knave\n(4) Luke is a knave\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 Lily 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 Lily that Luke is a knave.", "Assume Luke is a knave. No contradiction is found in their false claim that Michael is a knight or Luke is a knight.", "Michael cannot be a knight, because this would contradict the false claim of Luke that Michael is a knight or Luke is a knight.", "Assume Michael is a knave. No contradiction is found in their false claim that If Luke is a knave then Michael is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that If Evelyn is a knight then Luke is a knave.", "Emma cannot be a knight, because this would contradict the claim of their own that Michael is a knight if and only if Michael is a knave.", "Assume Emma is a knave. No contradiction is found in their false claim that Michael is a knight if and only if Michael is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 3), ('->', ('telling-truth', 1), ('lying', 3)), ('->', ('lying', 3), ('telling-truth', 2)), ('or', ('telling-truth', 2), ('telling-truth', 3)), ('<=>', ('telling-truth', 2), ('lying', 2)))", "index": 337}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Mia, Lucas, Grace, Ella, and Aiden. Mia expressed that Grace is a knave or Grace is a knight. According to Lucas, \"If Grace is a knight then Mia is a knave\". \"Ella is not a knave,\" Grace claimed. Ella told you that Ella is a knight or Lucas is a knight. Aiden stated, \"Mia is a knight if and only if Grace is a knight\". So who is a knight and who is a knave?", "names": ["Mia", "Lucas", "Grace", "Ella", "Aiden"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, true], "solution_text": "Mia is a knight, Lucas is a knave, Grace is a knight, Ella is a knight, and Aiden is a knight.", "solution_text_format": "(1) Mia is a knight\n(2) Lucas is a knave\n(3) Grace is a knight\n(4) Ella 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 Mia is a knight. No contradiction is found in their claim that Grace is a knave or Grace is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that Ella is not a knave.", "Assume Ella is a knight. No contradiction is found in their claim that Ella is a knight or Lucas is a knight.", "Lucas cannot be a knight, because this would contradict the claim of their own that If Grace is a knight then Mia is a knave.", "Assume Lucas is a knave. No contradiction is found in their false claim that If Grace is a knight then Mia is a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that Mia is a knight if and only if Grace is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 2), ('telling-truth', 2)), ('->', ('telling-truth', 2), ('lying', 0)), ('not', ('lying', 3)), ('or', ('telling-truth', 3), ('telling-truth', 1)), ('<=>', ('telling-truth', 0), ('telling-truth', 2)))", "index": 338}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: James, Jacob, Riley, Scarlett, and Victoria. James said that Scarlett is a knight if and only if James is a knight. \"James is not a knight,\" Jacob declared. \"Victoria is a knight\" - Riley. Scarlett asserted: \"Riley is a knave\". According to Victoria, \"Jacob is a knave if and only if Scarlett is a knave\". So who is a knight and who is a knave?", "names": ["James", "Jacob", "Riley", "Scarlett", "Victoria"], "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": "James is a knight, Jacob is a knave, Riley is a knave, Scarlett is a knight, and Victoria is a knave.", "solution_text_format": "(1) James is a knight\n(2) Jacob is a knave\n(3) Riley is a knave\n(4) Scarlett is a knight\n(5) Victoria is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume James is a knight. No contradiction is found in their claim that Scarlett is a knight if and only if James is a knight.", "Assume Scarlett 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 Scarlett that Riley is a knave.", "Assume Riley 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 Riley that Victoria is a knight.", "Assume Victoria is a knave. No contradiction is found in their false claim that Jacob is a knave if and only if Scarlett is a knave.", "Jacob cannot be a knight, because this would contradict the claim of their own that James is not a knight.", "Assume Jacob is a knave. No contradiction is found in their false claim that James is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 3), ('telling-truth', 0)), ('not', ('telling-truth', 0)), ('telling-truth', 4), ('lying', 2), ('<=>', ('lying', 1), ('lying', 3)))", "index": 339}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Isabella, Daniel, Lucas, Harper, and Mason. Isabella was heard saying, \"Lucas is a knight\". Daniel commented, \"Mason is a knave or Harper is a knight\". According to Lucas, \"Daniel is a knight and Mason is a knave\". As Harper put it, \"If Lucas is a knave then Isabella is a knave\". Mason said that Daniel is a knave and Lucas is a knave. So who is a knight and who is a knave?", "names": ["Isabella", "Daniel", "Lucas", "Harper", "Mason"], "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": "Isabella is a knight, Daniel is a knight, Lucas is a knight, Harper is a knight, and Mason is a knave.", "solution_text_format": "(1) Isabella is a knight\n(2) Daniel is a knight\n(3) Lucas is a knight\n(4) Harper 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 Isabella is a knight. No contradiction is found in their claim that Lucas is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that Daniel is a knight and Mason is a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that Mason is a knave or Harper is a knight.", "Mason cannot be a knight, because this would contradict the claim of Lucas that Daniel is a knight and Mason is a knave.", "Assume Mason is a knave. No contradiction is found in their false claim that Daniel is a knave and Lucas is a knave.", "Assume Harper is a knight. No contradiction is found in their claim that If Lucas is a knave then Isabella is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 2), ('or', ('lying', 4), ('telling-truth', 3)), ('and', ('telling-truth', 1), ('lying', 4)), ('->', ('lying', 2), ('lying', 0)), ('and', ('lying', 1), ('lying', 2)))", "index": 340}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Evelyn, Grace, Emma, Mason, and Mia. According to Evelyn, \"Emma is a knight and Grace is a knave\". Grace asserted: \"Emma is a knave and Mia is a knave\". \"Evelyn is a knight if and only if Mia is a knight,\" Emma mentioned. \"If Emma is a knight then Grace is a knight,\" Mason mentioned. \"Evelyn is a knight or Mason is a knave\" - Mia. So who is a knight and who is a knave?", "names": ["Evelyn", "Grace", "Emma", "Mason", "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": "Evelyn is a knight, Grace is a knave, Emma is a knight, Mason is a knave, and Mia is a knight.", "solution_text_format": "(1) Evelyn is a knight\n(2) Grace is a knave\n(3) Emma is a knight\n(4) Mason 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 Evelyn is a knight. No contradiction is found in their claim that Emma is a knight and Grace is a knave.", "Assume Emma is a knight. No contradiction is found in their claim that Evelyn is a knight if and only if Mia is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that Evelyn is a knight or Mason is a knave.", "Assume Mason is a knight. No contradiction is found in their claim that If Emma is a knight then Grace is a knight.", "Grace cannot be a knight, because this would contradict the claim of Evelyn that Emma is a knight and Grace is a knave.", "Grace cannot be a knave, because this would contradict the claim of Mason that If Emma is a knight then Grace is a knight.", "We have exhausted all possibilities for Grace, so let us go back and reconsider Mason.", "Assume Mason is a knave. No contradiction is found in their false claim that If Emma is a knight then Grace is a knight.", "Grace cannot be a knight, because this would contradict the claim of Evelyn that Emma is a knight and Grace is a knave.", "Assume Grace is a knave. No contradiction is found in their false claim that Emma is a knave and Mia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 2), ('lying', 1)), ('and', ('lying', 2), ('lying', 4)), ('<=>', ('telling-truth', 0), ('telling-truth', 4)), ('->', ('telling-truth', 2), ('telling-truth', 1)), ('or', ('telling-truth', 0), ('lying', 3)))", "index": 341}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Emily, Alexander, Sebastian, Victoria, and Aurora. \"Victoria is not a knave,\" Emily claimed. \"Victoria is not a knight,\" Alexander claimed. In Sebastian's words: \"Victoria is a knave or Victoria is a knight\". Victoria expressed that Alexander is a knave or Aurora is a knave. Aurora expressed that Emily is a knight if and only if Emily is a knave. So who is a knight and who is a knave?", "names": ["Emily", "Alexander", "Sebastian", "Victoria", "Aurora"], "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": "Emily is a knight, Alexander is a knave, Sebastian is a knight, Victoria is a knight, and Aurora is a knave.", "solution_text_format": "(1) Emily is a knight\n(2) Alexander is a knave\n(3) Sebastian is a knight\n(4) Victoria is a knight\n(5) Aurora is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Emily is a knight. No contradiction is found in their claim that Victoria is not a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that Alexander is a knave or Aurora is a knave.", "Alexander cannot be a knight, because this would contradict the claim of their own that Victoria is not a knight.", "Assume Alexander is a knave. No contradiction is found in their false claim that Victoria is not a knight.", "Aurora cannot be a knight, because this would contradict the claim of their own that Emily is a knight if and only if Emily is a knave.", "Assume Aurora is a knave. No contradiction is found in their false claim that Emily is a knight if and only if Emily is a knave.", "Assume Sebastian is a knight. No contradiction is found in their claim that Victoria is a knave or Victoria is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 3)), ('not', ('telling-truth', 3)), ('or', ('lying', 3), ('telling-truth', 3)), ('or', ('lying', 1), ('lying', 4)), ('<=>', ('telling-truth', 0), ('lying', 0)))", "index": 342}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Zoey, Mia, Noah, Evelyn, and Jackson. \"Jackson is a knave,\" Zoey declared. \"Noah is a knight or Jackson is a knight,\" Mia claimed. As Noah put it, \"Jackson is a knave if and only if Evelyn is a knight\". \"Mia is a knave,\" Evelyn mentioned. Jackson commented, \"Zoey is not a knight\". So who is a knight and who is a knave?", "names": ["Zoey", "Mia", "Noah", "Evelyn", "Jackson"], "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": "Zoey is a knave, Mia is a knight, Noah is a knight, Evelyn is a knave, and Jackson is a knight.", "solution_text_format": "(1) Zoey is a knave\n(2) Mia is a knight\n(3) Noah is a knight\n(4) Evelyn is a knave\n(5) Jackson is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Zoey is a knight. No contradiction is found in their claim that Jackson is a knave.", "Jackson cannot be a knight, because this would contradict the claim of Zoey that Jackson is a knave.", "Assume Jackson is a knave. No contradiction is found in their false claim that Zoey is not a knight.", "Assume Mia is a knight. No contradiction is found in their claim that Noah is a knight or Jackson is a knight.", "Assume Noah is a knight. No contradiction is found in their claim that Jackson is a knave if and only if Evelyn is a knight.", "Evelyn cannot be a knight, because this would contradict the claim of their own that Mia is a knave.", "Evelyn cannot be a knave, because this would contradict the claim of Noah that Jackson is a knave if and only if Evelyn is a knight.", "We have exhausted all possibilities for Evelyn, so let us go back and reconsider Noah.", "Noah cannot be a knave, because this would contradict the claim of Mia that Noah is a knight or Jackson is a knight.", "We have exhausted all possibilities for Noah, so let us go back and reconsider Mia.", "Assume Mia is a knave. No contradiction is found in their false claim that Noah is a knight or Jackson is a knight.", "Noah cannot be a knight, because this would contradict the false claim of Mia that Noah is a knight or Jackson is a knight.", "Assume Noah is a knave. No contradiction is found in their false claim that Jackson is a knave if and only if Evelyn is a knight.", "Evelyn cannot be a knight, because this would contradict the false claim of Noah that Jackson is a knave if and only if Evelyn is a knight.", "Evelyn cannot be a knave, because this would contradict the false claim of their own that Mia is a knave.", "We have exhausted all possibilities for Evelyn, Noah, Mia, and Jackson, so let us go back and reconsider Zoey.", "Assume Zoey is a knave. No contradiction is found in their false claim that Jackson is a knave.", "Assume Jackson is a knight. No contradiction is found in their claim that Zoey is not a knight.", "Assume Mia is a knight. No contradiction is found in their claim that Noah is a knight or Jackson is a knight.", "Assume Noah is a knight. No contradiction is found in their claim that Jackson is a knave if and only if Evelyn is a knight.", "Evelyn cannot be a knight, because this would contradict the claim of Noah that Jackson is a knave if and only if Evelyn is a knight.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Mia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 4), ('or', ('telling-truth', 2), ('telling-truth', 4)), ('<=>', ('lying', 4), ('telling-truth', 3)), ('lying', 1), ('not', ('telling-truth', 0)))", "index": 343}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Riley, Luke, Sophia, Lily, and Charlotte. Riley remarked, \"Sophia is a knave\". Luke remarked, \"Luke is a knight and Lily is a knave\". \"Charlotte is a knight and Lily is a knight,\" Sophia declared. Lily said, \"If Charlotte is a knave then Luke is a knight.\" \"Luke is not a knave,\" Charlotte declared. So who is a knight and who is a knave?", "names": ["Riley", "Luke", "Sophia", "Lily", "Charlotte"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false, false], "solution_text": "Riley is a knight, Luke is a knave, Sophia is a knave, Lily is a knave, and Charlotte is a knave.", "solution_text_format": "(1) Riley is a knight\n(2) Luke is a knave\n(3) Sophia is a knave\n(4) Lily is a knave\n(5) 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 Riley is a knight. No contradiction is found in their claim that Sophia is a knave.", "Sophia cannot be a knight, because this would contradict the claim of Riley that Sophia is a knave.", "Assume Sophia is a knave. No contradiction is found in their false claim that Charlotte is a knight and Lily is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that Luke is not a knave.", "Assume Luke is a knight. No contradiction is found in their claim that Luke is a knight and Lily is a knave.", "Lily cannot be a knight, because this would contradict the claim of Luke that Luke is a knight and Lily is a knave.", "Lily cannot be a knave, because this would contradict the false claim of their own that If Charlotte is a knave then Luke is a knight.", "We have exhausted all possibilities for Lily, so let us go back and reconsider Luke.", "Luke cannot be a knave, because this would contradict the claim of Charlotte that Luke is not 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 not a knave.", "Luke cannot be a knight, because this would contradict the false claim of Charlotte that Luke is not a knave.", "Assume Luke is a knave. No contradiction is found in their false claim that Luke is a knight and Lily is a knave.", "Lily cannot be a knight, because this would contradict the claim of their own that If Charlotte is a knave then Luke is a knight.", "Assume Lily is a knave. No contradiction is found in their false claim that If Charlotte is a knave then Luke is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 2), ('and', ('telling-truth', 1), ('lying', 3)), ('and', ('telling-truth', 4), ('telling-truth', 3)), ('->', ('lying', 4), ('telling-truth', 1)), ('not', ('lying', 1)))", "index": 344}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Sophia, Benjamin, Michael, Charlotte, and Evelyn. Sophia noted, \"Evelyn is a knave\". \"If Michael is a knight then Charlotte is a knave,\" Benjamin claimed. In Michael's words: \"If Benjamin is a knight then Benjamin is a knave\". Charlotte asserted: \"Sophia is a knave\". Evelyn said, \"Charlotte is a knave or Michael is a knave.\" So who is a knight and who is a knave?", "names": ["Sophia", "Benjamin", "Michael", "Charlotte", "Evelyn"], "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": "Sophia is a knave, Benjamin is a knight, Michael is a knave, Charlotte is a knight, and Evelyn is a knight.", "solution_text_format": "(1) Sophia is a knave\n(2) Benjamin is a knight\n(3) Michael is a knave\n(4) Charlotte is a knight\n(5) Evelyn is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sophia is a knight. No contradiction is found in their claim that Evelyn is a knave.", "Evelyn cannot be a knight, because this would contradict the claim of Sophia that Evelyn is a knave.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Charlotte is a knave or Michael is a knave.", "Charlotte cannot be a knight, because this would contradict the claim of their own that Sophia is a knave.", "Charlotte cannot be a knave, because this would contradict the false claim of Evelyn that Charlotte is a knave or Michael is a knave.", "We have exhausted all possibilities for Charlotte and Evelyn, so let us go back and reconsider Sophia.", "Assume Sophia is a knave. No contradiction is found in their false claim that Evelyn is a knave.", "Assume Evelyn is a knight. No contradiction is found in their claim that Charlotte is a knave or Michael is a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that Sophia is a knave.", "Michael cannot be a knight, because this would contradict the claim of Evelyn that Charlotte is a knave or Michael is a knave.", "Assume Michael is a knave. No contradiction is found in their false claim that If Benjamin is a knight then Benjamin is a knave.", "Assume Benjamin is a knight. No contradiction is found in their claim that If Michael is a knight then Charlotte is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 4), ('->', ('telling-truth', 2), ('lying', 3)), ('->', ('telling-truth', 1), ('lying', 1)), ('lying', 0), ('or', ('lying', 3), ('lying', 2)))", "index": 345}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aurora, Owen, Scarlett, Elizabeth, and Mason. Aurora expressed that Scarlett is a knave and Scarlett is a knight. \"Mason is not a knight,\" Owen declared. In a statement by Scarlett: \"Elizabeth is not a knave\". \"Elizabeth is a knight and Aurora is a knight,\" Elizabeth claimed. \"Aurora is a knight and Elizabeth is a knave,\" Mason declared. So who is a knight and who is a knave?", "names": ["Aurora", "Owen", "Scarlett", "Elizabeth", "Mason"], "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": "Aurora is a knave, Owen is a knight, Scarlett is a knave, Elizabeth is a knave, and Mason is a knave.", "solution_text_format": "(1) Aurora is a knave\n(2) Owen is a knight\n(3) Scarlett is a knave\n(4) Elizabeth is a knave\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": ["Aurora cannot be a knight, because this would contradict the claim of their own that Scarlett is a knave and Scarlett is a knight.", "Assume Aurora is a knave. No contradiction is found in their false claim that Scarlett is a knave and Scarlett is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that Elizabeth is not a knave.", "Elizabeth cannot be a knight, because this would contradict the claim of their own that Elizabeth is a knight and Aurora is a knight.", "Elizabeth cannot be a knave, because this would contradict the claim of Scarlett that Elizabeth is not a knave.", "We have exhausted all possibilities for Elizabeth, so let us go back and reconsider Scarlett.", "Assume Scarlett 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 Scarlett that Elizabeth is not a knave.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Elizabeth is a knight and Aurora is a knight.", "Assume Owen 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 Owen that Mason is not a knight.", "Assume Mason is a knave. No contradiction is found in their false claim that Aurora is a knight and Elizabeth is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('telling-truth', 2)), ('not', ('telling-truth', 4)), ('not', ('lying', 3)), ('and', ('telling-truth', 3), ('telling-truth', 0)), ('and', ('telling-truth', 0), ('lying', 3)))", "index": 346}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Michael, Zoey, Jacob, Liam, and Amelia. Michael told you that Liam is a knave or Liam is a knight. Zoey commented, \"Amelia is a knave and Michael is a knave\". Jacob expressed that Zoey is a knave and Amelia is a knight. \"Amelia is a knight\" - Liam. Amelia said, \"Jacob is a knave and Amelia is a knight.\" So who is a knight and who is a knave?", "names": ["Michael", "Zoey", "Jacob", "Liam", "Amelia"], "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": "Michael is a knight, Zoey is a knave, Jacob is a knave, Liam is a knave, and Amelia is a knave.", "solution_text_format": "(1) Michael is a knight\n(2) Zoey is a knave\n(3) Jacob is a knave\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 Michael is a knight. No contradiction is found in their claim that Liam is a knave or Liam is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that Amelia is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that Jacob is a knave and Amelia is a knight.", "Jacob cannot be a knight, because this would contradict the claim of Amelia that Jacob is a knave and Amelia is a knight.", "Assume Jacob is a knave. No contradiction is found in their false claim that Zoey is a knave and Amelia is a knight.", "Zoey cannot be a knight, because this would contradict the claim of their own that Amelia is a knave and Michael is a knave.", "Zoey cannot be a knave, because this would contradict the false claim of Jacob that Zoey is a knave and Amelia is a knight.", "We have exhausted all possibilities for Zoey and Jacob, so let us go back and reconsider Amelia.", "Amelia cannot be a knave, because this would contradict the claim of Liam that Amelia is a knight.", "We have exhausted all possibilities for Amelia, so let us go back and reconsider Liam.", "Assume Liam is a knave. No contradiction is found in their false claim that Amelia is a knight.", "Amelia cannot be a knight, because this would contradict the false claim of Liam that Amelia is a knight.", "Assume Amelia is a knave. No contradiction is found in their false claim that Jacob is a knave and Amelia is a knight.", "Jacob cannot be a knight, because this would contradict the claim of their own that Zoey is a knave and Amelia is a knight.", "Assume Jacob is a knave. No contradiction is found in their false claim that Zoey is a knave and Amelia is a knight.", "Zoey cannot be a knight, because this would contradict the claim of their own that Amelia is a knave and Michael is a knave.", "Assume Zoey is a knave. No contradiction is found in their false claim that Amelia is a knave and Michael is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 3), ('telling-truth', 3)), ('and', ('lying', 4), ('lying', 0)), ('and', ('lying', 1), ('telling-truth', 4)), ('telling-truth', 4), ('and', ('lying', 2), ('telling-truth', 4)))", "index": 347}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Victoria, Mia, Michael, Jackson, and Lily. Victoria asserted: \"Michael is not a knight\". Mia remarked, \"Victoria is a knave\". Michael stated, \"Mia is a knave if and only if Victoria is a knight\". Jackson expressed that Victoria is not a knight. Lily asserted: \"If Victoria is a knight then Lily is a knight\". So who is a knight and who is a knave?", "names": ["Victoria", "Mia", "Michael", "Jackson", "Lily"], "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": "Victoria is a knave, Mia is a knight, Michael is a knight, Jackson is a knight, and Lily is a knight.", "solution_text_format": "(1) Victoria is a knave\n(2) Mia is a knight\n(3) Michael is a knight\n(4) Jackson 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": ["Assume Victoria is a knight. No contradiction is found in their claim that Michael is not a knight.", "Michael cannot be a knight, because this would contradict the claim of Victoria that Michael is not a knight.", "Assume Michael is a knave. No contradiction is found in their false claim that Mia is a knave if and only if Victoria is a knight.", "Mia cannot be a knight, because this would contradict the claim of their own that Victoria is a knave.", "Mia cannot be a knave, because this would contradict the false claim of Michael that Mia is a knave if and only if Victoria is a knight.", "We have exhausted all possibilities for Mia and 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 not a knight.", "Assume Michael is a knight. No contradiction is found in their claim that Mia is a knave if and only if Victoria is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that Victoria is a knave.", "Assume Jackson is a knight. No contradiction is found in their claim that Victoria is not a knight.", "Assume Lily is a knight. No contradiction is found in their claim that If Victoria is a knight then Lily is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 2)), ('lying', 0), ('<=>', ('lying', 1), ('telling-truth', 0)), ('not', ('telling-truth', 0)), ('->', ('telling-truth', 0), ('telling-truth', 4)))", "index": 348}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Mia, Aiden, Mason, Sofia, and Jackson. In Mia's words: \"Mason is a knight\". According to Aiden, \"Aiden is a knight or Mason is a knave\". \"Aiden is not a knave,\" Mason mentioned. Sofia expressed that Mia is a knight. Jackson noted, \"Aiden is not a knight\". So who is a knight and who is a knave?", "names": ["Mia", "Aiden", "Mason", "Sofia", "Jackson"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, false], "solution_text": "Mia is a knight, Aiden is a knight, Mason is a knight, Sofia is a knight, and Jackson is a knave.", "solution_text_format": "(1) Mia is a knight\n(2) Aiden is a knight\n(3) Mason is a knight\n(4) Sofia is a knight\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 Mia is a knight. No contradiction is found in their claim that Mason is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that Aiden is not a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that Aiden is a knight or Mason is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that Mia is a knight.", "Jackson cannot be a knight, because this would contradict the claim of their own that Aiden is not a knight.", "Assume Jackson is a knave. No contradiction is found in their false claim that Aiden is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 2), ('or', ('telling-truth', 1), ('lying', 2)), ('not', ('lying', 1)), ('telling-truth', 0), ('not', ('telling-truth', 1)))", "index": 349}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Chloe, Charlotte, Daniel, Samuel, and Riley. Chloe was heard saying, \"Charlotte is a knight\". Charlotte was heard saying, \"Daniel is a knave if and only if Daniel is a knight\". According to Daniel, \"If Daniel is a knight then Samuel is a knight\". Samuel said, \"If Daniel is a knave then Chloe is a knave.\" In Riley's words: \"Samuel is a knave if and only if Chloe is a knight\". So who is a knight and who is a knave?", "names": ["Chloe", "Charlotte", "Daniel", "Samuel", "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": "Chloe is a knave, Charlotte is a knave, Daniel is a knight, Samuel is a knight, and Riley is a knight.", "solution_text_format": "(1) Chloe is a knave\n(2) Charlotte is a knave\n(3) Daniel is a knight\n(4) Samuel 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 Chloe is a knight. No contradiction is found in their claim that Charlotte is a knight.", "Charlotte cannot be a knight, because this would contradict the claim of their own that Daniel is a knave if and only if Daniel is a knight.", "Charlotte cannot be a knave, because this would contradict the claim of Chloe that Charlotte is a knight.", "We have exhausted all possibilities for Charlotte, so let us go back and reconsider Chloe.", "Assume Chloe is a knave. No contradiction is found in their false claim that Charlotte is a knight.", "Charlotte cannot be a knight, because this would contradict the false claim of Chloe that Charlotte is a knight.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Daniel is a knave if and only if Daniel is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that If Daniel is a knight then Samuel is a knight.", "Assume Samuel is a knight. No contradiction is found in their claim that If Daniel is a knave then Chloe is a knave.", "Assume Riley is a knight. No contradiction is found in their claim that Samuel is a knave if and only if Chloe is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 1), ('<=>', ('lying', 2), ('telling-truth', 2)), ('->', ('telling-truth', 2), ('telling-truth', 3)), ('->', ('lying', 2), ('lying', 0)), ('<=>', ('lying', 3), ('telling-truth', 0)))", "index": 350}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Harper, Scarlett, James, Abigail, and Aurora. \"Abigail is a knave and Aurora is a knight,\" Harper declared. Scarlett asserted: \"Harper is a knave or James is a knave\". \"If Abigail is a knave then Harper is a knave\" - James. Abigail stated, \"Aurora is a knight or Harper is a knave\". Aurora was heard saying, \"James is a knight if and only if James is a knave\". So who is a knight and who is a knave?", "names": ["Harper", "Scarlett", "James", "Abigail", "Aurora"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, false], "solution_text": "Harper is a knave, Scarlett is a knight, James is a knight, Abigail is a knight, and Aurora is a knave.", "solution_text_format": "(1) Harper is a knave\n(2) Scarlett is a knight\n(3) James is a knight\n(4) Abigail is a knight\n(5) Aurora is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Harper is a knight. No contradiction is found in their claim that Abigail is a knave and Aurora is a knight.", "Abigail cannot be a knight, because this would contradict the claim of Harper that Abigail is a knave and Aurora is a knight.", "Assume Abigail is a knave. No contradiction is found in their false claim that Aurora is a knight or Harper is a knave.", "Aurora cannot be a knight, because this would contradict the false claim of Abigail that Aurora is a knight or Harper is a knave.", "Aurora cannot be a knave, because this would contradict the claim of Harper that Abigail is a knave and Aurora is a knight.", "We have exhausted all possibilities for Aurora and Abigail, so let us go back and reconsider Harper.", "Assume Harper is a knave. No contradiction is found in their false claim that Abigail is a knave and Aurora is a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that Aurora is a knight or Harper is a knave.", "Aurora cannot be a knight, because this would contradict the claim of their own that James is a knight if and only if James is a knave.", "Assume Aurora is a knave. No contradiction is found in their false claim that James is a knight if and only if James is a knave.", "Assume James is a knight. No contradiction is found in their claim that If Abigail is a knave then Harper is a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that Harper is a knave or James is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 3), ('telling-truth', 4)), ('or', ('lying', 0), ('lying', 2)), ('->', ('lying', 3), ('lying', 0)), ('or', ('telling-truth', 4), ('lying', 0)), ('<=>', ('telling-truth', 2), ('lying', 2)))", "index": 351}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aurora, Logan, Ethan, Grace, and Noah. Aurora expressed that Aurora is a knight and Ethan is a knight. Logan said, \"Aurora is a knight and Noah is a knight.\" As Ethan put it, \"If Aurora is a knight then Logan is a knight\". \"Logan is a knave or Noah is a knight,\" Grace mentioned. As Noah put it, \"If Noah is a knight then Aurora is a knave\". So who is a knight and who is a knave?", "names": ["Aurora", "Logan", "Ethan", "Grace", "Noah"], "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": "Aurora is a knave, Logan is a knave, Ethan is a knight, Grace is a knight, and Noah is a knight.", "solution_text_format": "(1) Aurora is a knave\n(2) Logan is a knave\n(3) Ethan is a knight\n(4) Grace is a knight\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 Aurora is a knight. No contradiction is found in their claim that Aurora is a knight and Ethan is a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that If Aurora is a knight then Logan is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that Aurora is a knight and Noah is a knight.", "Noah cannot be a knight, because this would contradict the claim of their own that If Noah is a knight then Aurora is a knave.", "Noah cannot be a knave, because this would contradict the claim of Logan that Aurora is a knight and Noah is a knight.", "We have exhausted all possibilities for Noah, so let us go back and reconsider Logan.", "Logan cannot be a knave, because this would contradict the claim of Ethan that If Aurora is a knight then Logan is a knight.", "We have exhausted all possibilities for Logan, so let us go back and reconsider Ethan.", "Ethan cannot be a knave, because this would contradict the claim of Aurora that Aurora is a knight and Ethan is a knight.", "We have exhausted all possibilities for Ethan, so let us go back and reconsider Aurora.", "Assume Aurora is a knave. No contradiction is found in their false claim that Aurora is a knight and Ethan is a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that If Aurora is a knight then Logan is a knight.", "Logan cannot be a knight, because this would contradict the claim of their own that Aurora is a knight and Noah is a knight.", "Assume Logan is a knave. No contradiction is found in their false claim that Aurora is a knight and Noah is a knight.", "Assume Noah is a knight. No contradiction is found in their claim that If Noah is a knight then Aurora is a knave.", "Assume Grace is a knight. No contradiction is found in their claim that Logan is a knave or Noah is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 0), ('telling-truth', 2)), ('and', ('telling-truth', 0), ('telling-truth', 4)), ('->', ('telling-truth', 0), ('telling-truth', 1)), ('or', ('lying', 1), ('telling-truth', 4)), ('->', ('telling-truth', 4), ('lying', 0)))", "index": 352}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Logan, Aiden, Zoey, David, and Jack. \"Zoey is not a knight,\" Logan mentioned. Aiden stated, \"David is a knave and Aiden is a knight\". Zoey noted, \"Jack is a knave and Aiden is a knave\". David stated, \"David is a knight if and only if Logan is a knight\". Jack said that Logan is a knave and Logan is a knight. So who is a knight and who is a knave?", "names": ["Logan", "Aiden", "Zoey", "David", "Jack"], "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": "Logan is a knight, Aiden is a knight, Zoey is a knave, David is a knave, and Jack is a knave.", "solution_text_format": "(1) Logan is a knight\n(2) Aiden is a knight\n(3) Zoey is a knave\n(4) David 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 Logan is a knight. No contradiction is found in their claim that Zoey is not a knight.", "Zoey cannot be a knight, because this would contradict the claim of Logan that Zoey is not a knight.", "Assume Zoey is a knave. No contradiction is found in their false claim that Jack is a knave and Aiden is a knave.", "Jack cannot be a knight, because this would contradict the claim of their own that Logan is a knave and Logan is a knight.", "Assume Jack is a knave. No contradiction is found in their false claim that Logan is a knave and Logan is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that David is a knave and Aiden is a knight.", "David cannot be a knight, because this would contradict the claim of Aiden that David is a knave and Aiden is a knight.", "Assume David is a knave. No contradiction is found in their false claim that David is a knight if and only if Logan is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 2)), ('and', ('lying', 3), ('telling-truth', 1)), ('and', ('lying', 4), ('lying', 1)), ('<=>', ('telling-truth', 3), ('telling-truth', 0)), ('and', ('lying', 0), ('telling-truth', 0)))", "index": 353}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Joseph, Emily, David, Zoey, and Aria. As Joseph put it, \"If David is a knight then Emily is a knight\". Emily commented, \"Zoey is not a knave\". \"Joseph is a knight,\" David mentioned. Zoey noted, \"If Aria is a knight then Zoey is a knight\". \"Joseph is a knave and Zoey is a knave,\" Aria claimed. So who is a knight and who is a knave?", "names": ["Joseph", "Emily", "David", "Zoey", "Aria"], "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": "Joseph is a knight, Emily is a knight, David is a knight, Zoey is a knight, and Aria is a knave.", "solution_text_format": "(1) Joseph is a knight\n(2) Emily is a knight\n(3) David is a knight\n(4) Zoey is a knight\n(5) Aria is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Joseph is a knight. No contradiction is found in their claim that If David is a knight then Emily is a knight.", "Assume David is a knight. No contradiction is found in their claim that Joseph is a knight.", "Assume Emily is a knight. No contradiction is found in their claim that Zoey is not a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that If Aria is a knight then Zoey is a knight.", "Aria cannot be a knight, because this would contradict the claim of their own that Joseph is a knave and Zoey is a knave.", "Assume Aria is a knave. No contradiction is found in their false claim that Joseph is a knave and Zoey is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 2), ('telling-truth', 1)), ('not', ('lying', 3)), ('telling-truth', 0), ('->', ('telling-truth', 4), ('telling-truth', 3)), ('and', ('lying', 0), ('lying', 3)))", "index": 354}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Owen, Grace, Emily, Ella, and Charlotte. As Owen put it, \"If Emily is a knave then Grace is a knight\". Grace said that Owen is a knave and Owen is a knight. According to Emily, \"Grace is a knight\". Ella remarked, \"Grace is a knave if and only if Grace is a knight\". Charlotte commented, \"If Ella is a knight then Emily is a knight\". So who is a knight and who is a knave?", "names": ["Owen", "Grace", "Emily", "Ella", "Charlotte"], "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": "Owen is a knave, Grace is a knave, Emily is a knave, Ella is a knave, and Charlotte is a knight.", "solution_text_format": "(1) Owen is a knave\n(2) Grace is a knave\n(3) Emily is a knave\n(4) Ella 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 Owen is a knight. No contradiction is found in their claim that If Emily is a knave then Grace is a knight.", "Assume Emily is a knight. No contradiction is found in their claim that Grace is a knight.", "Grace cannot be a knight, because this would contradict the claim of their own that Owen is a knave and Owen is a knight.", "Grace cannot be a knave, because this would contradict the claim of Emily that Grace is a knight.", "We have exhausted all possibilities for Grace, so let us go back and reconsider Emily.", "Assume Emily is a knave. No contradiction is found in their false claim that Grace is a knight.", "Grace cannot be a knight, because this would contradict the claim of their own that Owen is a knave and Owen is a knight.", "Grace cannot be a knave, because this would contradict the claim of Owen that If Emily is a knave then Grace is a knight.", "We have exhausted all possibilities for Grace and Emily, so let us go back and reconsider Owen.", "Assume Owen is a knave. No contradiction is found in their false claim that If Emily is a knave then Grace is a knight.", "Emily cannot be a knight, because this would contradict the false claim of Owen that If Emily is a knave then Grace is a knight.", "Assume Emily is a knave. No contradiction is found in their false claim that Grace is a knight.", "Grace cannot be a knight, because this would contradict the false claim of Owen that If Emily is a knave then Grace is a knight.", "Assume Grace is a knave. No contradiction is found in their false claim that Owen is a knave and Owen is a knight.", "Ella cannot be a knight, because this would contradict the claim of their own that Grace is a knave if and only if Grace is a knight.", "Assume Ella is a knave. No contradiction is found in their false claim that Grace is a knave if and only if Grace is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that If Ella is a knight then Emily is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 2), ('telling-truth', 1)), ('and', ('lying', 0), ('telling-truth', 0)), ('telling-truth', 1), ('<=>', ('lying', 1), ('telling-truth', 1)), ('->', ('telling-truth', 3), ('telling-truth', 2)))", "index": 355}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Evelyn, Penelope, Jackson, Michael, and Sophia. According to Evelyn, \"Jackson is a knave if and only if Evelyn is a knight\". \"Jackson is a knight or Sophia is a knight\" - Penelope. Jackson said, \"Penelope is a knave and Evelyn is a knight.\" Michael remarked, \"Penelope is not a knight\". According to Sophia, \"Michael is a knave if and only if Evelyn is a knight\". So who is a knight and who is a knave?", "names": ["Evelyn", "Penelope", "Jackson", "Michael", "Sophia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false, true], "solution_text": "Evelyn is a knight, Penelope is a knight, Jackson is a knave, Michael is a knave, and Sophia is a knight.", "solution_text_format": "(1) Evelyn is a knight\n(2) Penelope is a knight\n(3) Jackson is a knave\n(4) Michael 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 Evelyn is a knight. No contradiction is found in their claim that Jackson is a knave if and only if Evelyn is a knight.", "Jackson cannot be a knight, because this would contradict the claim of Evelyn that Jackson is a knave if and only if Evelyn is a knight.", "Assume Jackson is a knave. No contradiction is found in their false claim that Penelope is a knave and Evelyn is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that Jackson is a knight or Sophia is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that Michael is a knave if and only if Evelyn is a knight.", "Michael cannot be a knight, because this would contradict the claim of their own that Penelope is not a knight.", "Assume Michael is a knave. No contradiction is found in their false claim that Penelope is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 2), ('telling-truth', 0)), ('or', ('telling-truth', 2), ('telling-truth', 4)), ('and', ('lying', 1), ('telling-truth', 0)), ('not', ('telling-truth', 1)), ('<=>', ('lying', 3), ('telling-truth', 0)))", "index": 356}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Isabella, Samuel, Aurora, Matthew, and Mason. Isabella told you that Matthew is not a knave. Samuel commented, \"Aurora is a knave if and only if Mason is a knave\". Aurora noted, \"Aurora is a knight and Samuel is a knight\". \"Samuel is a knave,\" Matthew mentioned. Mason said that Samuel is a knave if and only if Mason is a knight. So who is a knight and who is a knave?", "names": ["Isabella", "Samuel", "Aurora", "Matthew", "Mason"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, true], "solution_text": "Isabella is a knight, Samuel is a knave, Aurora is a knave, Matthew is a knight, and Mason is a knight.", "solution_text_format": "(1) Isabella is a knight\n(2) Samuel is a knave\n(3) Aurora is a knave\n(4) Matthew is a knight\n(5) 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 Isabella is a knight. No contradiction is found in their claim that Matthew is not a knave.", "Assume Matthew is a knight. No contradiction is found in their claim that Samuel is a knave.", "Samuel cannot be a knight, because this would contradict the claim of Matthew that Samuel is a knave.", "Assume Samuel is a knave. No contradiction is found in their false claim that Aurora is a knave if and only if Mason is a knave.", "Aurora cannot be a knight, because this would contradict the claim of their own that Aurora is a knight and Samuel is a knight.", "Assume Aurora is a knave. No contradiction is found in their false claim that Aurora is a knight and Samuel is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that Samuel is a knave if and only if Mason is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 3)), ('<=>', ('lying', 2), ('lying', 4)), ('and', ('telling-truth', 2), ('telling-truth', 1)), ('lying', 1), ('<=>', ('lying', 1), ('telling-truth', 4)))", "index": 357}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Liam, Zoey, Matthew, Avery, and Daniel. Liam said, \"If Avery is a knight then Daniel is a knave.\" Zoey commented, \"Daniel is not a knight\". Matthew remarked, \"If Matthew is a knight then Avery is a knight\". \"Zoey is a knave if and only if Matthew is a knight,\" Avery mentioned. According to Daniel, \"Avery is a knight\". So who is a knight and who is a knave?", "names": ["Liam", "Zoey", "Matthew", "Avery", "Daniel"], "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": "Liam is a knave, Zoey is a knave, Matthew is a knight, Avery is a knight, and Daniel is a knight.", "solution_text_format": "(1) Liam is a knave\n(2) Zoey is a knave\n(3) Matthew is a knight\n(4) Avery 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 Liam is a knight. No contradiction is found in their claim that If Avery is a knight then Daniel is a knave.", "Assume Avery is a knight. No contradiction is found in their claim that Zoey is a knave if and only if Matthew is a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that Daniel is not a knight.", "Daniel cannot be a knight, because this would contradict the claim of Liam that If Avery is a knight then Daniel is a knave.", "Daniel cannot be a knave, because this would contradict the false claim of their own that Avery is a knight.", "We have exhausted all possibilities for Daniel, so let us go back and reconsider Zoey.", "Assume Zoey is a knave. No contradiction is found in their false claim that Daniel is not a knight.", "Daniel cannot be a knight, because this would contradict the claim of Liam that If Avery is a knight then Daniel is a knave.", "Daniel cannot be a knave, because this would contradict the false claim of Zoey that Daniel is not a knight.", "We have exhausted all possibilities for Daniel and Zoey, so let us go back and reconsider Avery.", "Assume Avery is a knave. No contradiction is found in their false claim that Zoey is a knave if and only if Matthew is a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that Daniel is not a knight.", "Daniel cannot be a knight, because this would contradict the claim of Zoey that Daniel is not a knight.", "Assume Daniel is a knave. No contradiction is found in their false claim that Avery is a knight.", "Matthew cannot be a knight, because this would contradict the claim of their own that If Matthew is a knight then Avery is a knight.", "Matthew cannot be a knave, because this would contradict the false claim of their own that If Matthew is a knight then Avery is a knight.", "We have exhausted all possibilities for Matthew and Daniel, so let us go back and reconsider Zoey.", "Assume Zoey is a knave. No contradiction is found in their false claim that Daniel is not a knight.", "Daniel cannot be a knight, because this would contradict the claim of their own that Avery is a knight.", "Daniel cannot be a knave, because this would contradict the false claim of Zoey that Daniel is not a knight.", "We have exhausted all possibilities for Daniel, Zoey, and Avery, so let us go back and reconsider Liam.", "Assume Liam is a knave. No contradiction is found in their false claim that If Avery is a knight then Daniel is a knave.", "Assume Avery is a knight. No contradiction is found in their claim that Zoey is a knave if and only if Matthew is a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that Daniel is not a knight.", "Daniel cannot be a knight, because this would contradict the claim of Zoey that Daniel is not a knight.", "Daniel cannot be a knave, because this would contradict the false claim of Liam that If Avery is a knight then Daniel is a knave.", "We have exhausted all possibilities for Daniel, so let us go back and reconsider Zoey.", "Assume Zoey is a knave. No contradiction is found in their false claim that Daniel is not a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that Avery is a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that If Matthew is a knight then Avery is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 3), ('lying', 4)), ('not', ('telling-truth', 4)), ('->', ('telling-truth', 2), ('telling-truth', 3)), ('<=>', ('lying', 1), ('telling-truth', 2)), ('telling-truth', 3))", "index": 358}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Penelope, Jacob, Liam, Matthew, and Chloe. In Penelope's words: \"Liam is a knave or Jacob is a knight\". In Jacob's words: \"Matthew is a knight or Matthew is a knave\". In a statement by Liam: \"Penelope is a knave or Matthew is a knight\". As Matthew put it, \"Jacob is a knave if and only if Penelope is a knave\". Chloe told you that Liam is not a knave. So who is a knight and who is a knave?", "names": ["Penelope", "Jacob", "Liam", "Matthew", "Chloe"], "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, Jacob is a knight, Liam is a knight, Matthew is a knight, and Chloe is a knight.", "solution_text_format": "(1) Penelope is a knight\n(2) Jacob is a knight\n(3) Liam is a knight\n(4) Matthew is a knight\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 Penelope is a knight. No contradiction is found in their claim that Liam is a knave or Jacob is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that Penelope is a knave or Matthew is a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that Jacob is a knave if and only if Penelope is a knave.", "Assume Jacob is a knight. No contradiction is found in their claim that Matthew is a knight or Matthew is a knave.", "Assume Chloe is a knight. No contradiction is found in their claim that Liam is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 2), ('telling-truth', 1)), ('or', ('telling-truth', 3), ('lying', 3)), ('or', ('lying', 0), ('telling-truth', 3)), ('<=>', ('lying', 1), ('lying', 0)), ('not', ('lying', 2)))", "index": 359}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aiden, Ethan, Riley, Matthew, and Scarlett. Aiden told you that Scarlett is a knave. Ethan asserted: \"Aiden is a knave if and only if Matthew is a knight\". Riley commented, \"If Ethan is a knave then Riley is a knight\". Matthew asserted: \"Ethan is a knave or Aiden is a knight\". \"Riley is not a knight,\" Scarlett declared. So who is a knight and who is a knave?", "names": ["Aiden", "Ethan", "Riley", "Matthew", "Scarlett"], "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": "Aiden is a knight, Ethan is a knave, Riley is a knight, Matthew is a knight, and Scarlett is a knave.", "solution_text_format": "(1) Aiden is a knight\n(2) Ethan is a knave\n(3) Riley is a knight\n(4) Matthew 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 Aiden is a knight. No contradiction is found in their claim that Scarlett is a knave.", "Scarlett cannot be a knight, because this would contradict the claim of Aiden that Scarlett is a knave.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Riley is not a knight.", "Assume Riley is a knight. No contradiction is found in their claim that If Ethan is a knave then Riley is a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that Aiden is a knave if and only if Matthew is a knight.", "Matthew cannot be a knight, because this would contradict the claim of Ethan that Aiden is a knave if and only if Matthew is a knight.", "Matthew cannot be a knave, because this would contradict the false claim of their own that Ethan is a knave or Aiden is a knight.", "We have exhausted all possibilities for Matthew, so let us go back and reconsider Ethan.", "Assume Ethan is a knave. No contradiction is found in their false claim that Aiden is a knave if and only if Matthew is a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that Ethan is a knave or Aiden is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 4), ('<=>', ('lying', 0), ('telling-truth', 3)), ('->', ('lying', 1), ('telling-truth', 2)), ('or', ('lying', 1), ('telling-truth', 0)), ('not', ('telling-truth', 2)))", "index": 360}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Riley, Aiden, Victoria, Emily, and Michael. As Riley put it, \"Victoria is a knight if and only if Victoria is a knave\". Aiden noted, \"If Michael is a knight then Emily is a knave\". According to Victoria, \"Michael is a knave or Michael is a knight\". \"Michael is a knave and Riley is a knight,\" Emily mentioned. \"Riley is a knave\" - Michael. So who is a knight and who is a knave?", "names": ["Riley", "Aiden", "Victoria", "Emily", "Michael"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false, true], "solution_text": "Riley is a knave, Aiden is a knight, Victoria is a knight, Emily is a knave, and Michael is a knight.", "solution_text_format": "(1) Riley is a knave\n(2) Aiden is a knight\n(3) Victoria is a knight\n(4) Emily is a knave\n(5) Michael is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Riley cannot be a knight, because this would contradict the claim of their own that Victoria is a knight if and only if Victoria is a knave.", "Assume Riley is a knave. No contradiction is found in their false claim that Victoria is a knight if and only if Victoria is a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that Michael is a knave or Michael is a knight.", "Assume Michael is a knight. No contradiction is found in their claim that Riley is a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that If Michael is a knight then Emily is a knave.", "Emily cannot be a knight, because this would contradict the claim of Aiden that If Michael is a knight then Emily is a knave.", "Assume Emily is a knave. No contradiction is found in their false claim that Michael is a knave and Riley is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 2), ('lying', 2)), ('->', ('telling-truth', 4), ('lying', 3)), ('or', ('lying', 4), ('telling-truth', 4)), ('and', ('lying', 4), ('telling-truth', 0)), ('lying', 0))", "index": 361}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Mason, David, Chloe, Zoey, and Penelope. \"Chloe is a knave and Chloe is a knight,\" Mason claimed. David said, \"Chloe is a knave if and only if Penelope is a knight.\" Chloe noted, \"Mason is a knave if and only if David is a knight\". Zoey said, \"Chloe is not a knave.\" As Penelope put it, \"If David is a knight then David is a knave\". So who is a knight and who is a knave?", "names": ["Mason", "David", "Chloe", "Zoey", "Penelope"], "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": "Mason is a knave, David is a knight, Chloe is a knight, Zoey is a knight, and Penelope is a knave.", "solution_text_format": "(1) Mason is a knave\n(2) David is a knight\n(3) Chloe is a knight\n(4) Zoey 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": ["Mason cannot be a knight, because this would contradict the claim of their own that Chloe is a knave and Chloe is a knight.", "Assume Mason is a knave. No contradiction is found in their false claim that Chloe is a knave and Chloe is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that Mason is a knave if and only if David is a knight.", "Assume David is a knight. No contradiction is found in their claim that Chloe is a knave if and only if Penelope is a knight.", "Penelope cannot be a knight, because this would contradict the claim of David that Chloe is a knave if and only if Penelope is a knight.", "Assume Penelope is a knave. No contradiction is found in their false claim that If David is a knight then David is a knave.", "Assume Zoey 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": "(('and', ('lying', 2), ('telling-truth', 2)), ('<=>', ('lying', 2), ('telling-truth', 4)), ('<=>', ('lying', 0), ('telling-truth', 1)), ('not', ('lying', 2)), ('->', ('telling-truth', 1), ('lying', 1)))", "index": 362}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Zoey, Lucas, Sofia, Daniel, and James. As Zoey put it, \"Lucas is not a knight\". Lucas said, \"If Sofia is a knave then James is a knave.\" \"If James is a knight then Daniel is a knave,\" Sofia declared. \"James is a knave if and only if Lucas is a knight,\" Daniel declared. James noted, \"Sofia is a knight and Zoey is a knight\". So who is a knight and who is a knave?", "names": ["Zoey", "Lucas", "Sofia", "Daniel", "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": "Zoey is a knave, Lucas is a knight, Sofia is a knight, Daniel is a knight, and James is a knave.", "solution_text_format": "(1) Zoey is a knave\n(2) Lucas is a knight\n(3) Sofia is a knight\n(4) Daniel 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 Zoey is a knight. No contradiction is found in their claim that Lucas is not a knight.", "Lucas cannot be a knight, because this would contradict the claim of Zoey that Lucas is not a knight.", "Assume Lucas is a knave. No contradiction is found in their false claim that If Sofia is a knave then James is a knave.", "Sofia cannot be a knight, because this would contradict the false claim of Lucas that If Sofia is a knave then James is a knave.", "Assume Sofia is a knave. No contradiction is found in their false claim that If James is a knight then Daniel is a knave.", "James cannot be a knight, because this would contradict the claim of their own that Sofia is a knight and Zoey is a knight.", "James cannot be a knave, because this would contradict the false claim of Lucas that If Sofia is a knave then James is a knave.", "We have exhausted all possibilities for James, Sofia, and Lucas, so let us go back and reconsider Zoey.", "Assume Zoey is a knave. No contradiction is found in their false claim that Lucas is not a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that If Sofia is a knave then James is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that If James is a knight then Daniel is a knave.", "James cannot be a knight, because this would contradict the claim of their own that Sofia is a knight and Zoey is a knight.", "Assume James is a knave. No contradiction is found in their false claim that Sofia is a knight and Zoey is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that James is a knave if and only if Lucas is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('->', ('lying', 2), ('lying', 4)), ('->', ('telling-truth', 4), ('lying', 3)), ('<=>', ('lying', 4), ('telling-truth', 1)), ('and', ('telling-truth', 2), ('telling-truth', 0)))", "index": 363}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: William, Lily, Harper, Aria, and Aiden. William was heard saying, \"Harper is a knave if and only if Aiden is a knight\". Lily stated, \"If Harper is a knave then Aiden is a knave\". According to Harper, \"Lily is a knight or Aiden is a knight\". Aria commented, \"Lily is a knave or William is a knave\". Aiden asserted: \"If Aria is a knave then William is a knight\". So who is a knight and who is a knave?", "names": ["William", "Lily", "Harper", "Aria", "Aiden"], "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, Lily is a knight, Harper is a knight, Aria is a knight, and Aiden is a knight.", "solution_text_format": "(1) William is a knave\n(2) Lily is a knight\n(3) Harper is a knight\n(4) Aria 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 William is a knight. No contradiction is found in their claim that Harper is a knave if and only if Aiden is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that Lily is a knight or Aiden is a knight.", "Assume Lily is a knight. No contradiction is found in their claim that If Harper is a knave then Aiden is a knave.", "Aiden cannot be a knight, because this would contradict the claim of William that Harper is a knave if and only if Aiden is a knight.", "Aiden cannot be a knave, because this would contradict the false claim of their own that If Aria is a knave then William is a knight.", "We have exhausted all possibilities for Aiden, so let us go back and reconsider Lily.", "Lily cannot be a knave, because this would contradict the false claim of their own that If Harper is a knave then Aiden is a knave.", "We have exhausted all possibilities for Lily, so let us go back and reconsider Harper.", "Assume Harper is a knave. No contradiction is found in their false claim that Lily is a knight or Aiden is a knight.", "Lily cannot be a knight, because this would contradict the false claim of Harper that Lily is a knight or Aiden is a knight.", "Assume Lily is a knave. No contradiction is found in their false claim that If Harper is a knave then Aiden is a knave.", "Aiden cannot be a knight, because this would contradict the false claim of Harper that Lily is a knight or Aiden is a knight.", "Aiden cannot be a knave, because this would contradict the claim of William that Harper is a knave if and only if Aiden is a knight.", "We have exhausted all possibilities for Aiden, Lily, and Harper, so let us go back and reconsider William.", "Assume William is a knave. No contradiction is found in their false claim that Harper is a knave if and only if Aiden is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that Lily is a knight or Aiden is a knight.", "Assume Lily is a knight. No contradiction is found in their claim that If Harper is a knave then Aiden is a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that If Aria is a knave then William is a knight.", "Assume Aria is a knight. No contradiction is found in their claim that Lily is a knave or William is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 2), ('telling-truth', 4)), ('->', ('lying', 2), ('lying', 4)), ('or', ('telling-truth', 1), ('telling-truth', 4)), ('or', ('lying', 1), ('lying', 0)), ('->', ('lying', 3), ('telling-truth', 0)))", "index": 364}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Abigail, Lucas, Joseph, Daniel, and Penelope. Abigail commented, \"If Lucas is a knave then Joseph is a knave\". Lucas told you that Abigail is a knave or Joseph is a knave. Joseph was heard saying, \"Daniel is not a knight\". Daniel stated, \"Abigail is a knave or Penelope is a knight\". \"Abigail is a knight or Penelope is a knight,\" Penelope mentioned. So who is a knight and who is a knave?", "names": ["Abigail", "Lucas", "Joseph", "Daniel", "Penelope"], "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": "Abigail is a knight, Lucas is a knight, Joseph is a knave, Daniel is a knight, and Penelope is a knight.", "solution_text_format": "(1) Abigail is a knight\n(2) Lucas is a knight\n(3) Joseph is a knave\n(4) Daniel is a knight\n(5) Penelope is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Abigail is a knight. No contradiction is found in their claim that If Lucas is a knave then Joseph is a knave.", "Assume Lucas is a knight. No contradiction is found in their claim that Abigail is a knave or Joseph is a knave.", "Joseph cannot be a knight, because this would contradict the claim of Lucas that Abigail is a knave or Joseph is a knave.", "Assume Joseph is a knave. No contradiction is found in their false claim that Daniel is not a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that Abigail is a knave or Penelope is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that Abigail is a knight or Penelope is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 1), ('lying', 2)), ('or', ('lying', 0), ('lying', 2)), ('not', ('telling-truth', 3)), ('or', ('lying', 0), ('telling-truth', 4)), ('or', ('telling-truth', 0), ('telling-truth', 4)))", "index": 365}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Oliver, Jackson, Alexander, Olivia, and Harper. \"Jackson is not a knight,\" Oliver declared. Jackson said, \"Harper is a knave.\" Alexander commented, \"Harper is not a knight\". Olivia expressed that Oliver is not a knave. Harper said that Alexander is a knight or Oliver is a knight. So who is a knight and who is a knave?", "names": ["Oliver", "Jackson", "Alexander", "Olivia", "Harper"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, true], "solution_text": "Oliver is a knight, Jackson is a knave, Alexander is a knave, Olivia is a knight, and Harper is a knight.", "solution_text_format": "(1) Oliver is a knight\n(2) Jackson is a knave\n(3) Alexander is a knave\n(4) Olivia 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 Oliver 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 Oliver that Jackson is not a knight.", "Assume Jackson is a knave. No contradiction is found in their false claim that Harper is a knave.", "Assume Harper is a knight. No contradiction is found in their claim that Alexander is a knight or Oliver is a knight.", "Alexander cannot be a knight, because this would contradict the claim of their own that Harper is not a knight.", "Assume Alexander is a knave. No contradiction is found in their false claim that Harper is not a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that Oliver is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('lying', 4), ('not', ('telling-truth', 4)), ('not', ('lying', 0)), ('or', ('telling-truth', 2), ('telling-truth', 0)))", "index": 366}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Emma, Benjamin, Mia, Elizabeth, and Chloe. \"Elizabeth is not a knight\" - Emma. Benjamin remarked, \"Mia is a knight and Elizabeth is a knave\". In Mia's words: \"If Chloe is a knight then Emma is a knave\". \"Mia is a knight or Chloe is a knight,\" Elizabeth declared. Chloe told you that Elizabeth is a knight if and only if Emma is a knight. So who is a knight and who is a knave?", "names": ["Emma", "Benjamin", "Mia", "Elizabeth", "Chloe"], "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": "Emma is a knave, Benjamin is a knave, Mia is a knight, Elizabeth is a knight, and Chloe is a knave.", "solution_text_format": "(1) Emma is a knave\n(2) Benjamin is a knave\n(3) Mia is a knight\n(4) Elizabeth is a knight\n(5) Chloe is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Emma is a knight. No contradiction is found in their claim that Elizabeth is not a knight.", "Elizabeth cannot be a knight, because this would contradict the claim of Emma that Elizabeth is not a knight.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Mia is a knight or Chloe is a knight.", "Mia cannot be a knight, because this would contradict the false claim of Elizabeth that Mia is a knight or Chloe is a knight.", "Assume Mia is a knave. No contradiction is found in their false claim that If Chloe is a knight then Emma is a knave.", "Chloe cannot be a knight, because this would contradict the false claim of Elizabeth that Mia is a knight or Chloe is a knight.", "Chloe cannot be a knave, because this would contradict the false claim of Mia that If Chloe is a knight then Emma is a knave.", "We have exhausted all possibilities for Chloe, Mia, and Elizabeth, so let us go back and reconsider Emma.", "Assume Emma is a knave. No contradiction is found in their false claim that Elizabeth is not a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Mia is a knight or Chloe is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that If Chloe is a knight then Emma is a knave.", "Chloe cannot be a knight, because this would contradict the claim of their own that Elizabeth is a knight if and only if Emma is a knight.", "Assume Chloe is a knave. No contradiction is found in their false claim that Elizabeth is a knight if and only if Emma is a knight.", "Benjamin cannot be a knight, because this would contradict the claim of their own that Mia is a knight and Elizabeth is a knave.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Mia is a knight and Elizabeth is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 3)), ('and', ('telling-truth', 2), ('lying', 3)), ('->', ('telling-truth', 4), ('lying', 0)), ('or', ('telling-truth', 2), ('telling-truth', 4)), ('<=>', ('telling-truth', 3), ('telling-truth', 0)))", "index": 367}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: David, Mason, Alexander, Chloe, and Penelope. David remarked, \"David is a knight and Alexander is a knight\". \"If David is a knight then Mason is a knight,\" Mason declared. Alexander commented, \"Chloe is not a knight\". \"Alexander is a knight and Mason is a knight,\" Chloe claimed. As Penelope put it, \"Alexander is a knave if and only if David is a knight\". So who is a knight and who is a knave?", "names": ["David", "Mason", "Alexander", "Chloe", "Penelope"], "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": "David is a knight, Mason is a knave, Alexander is a knight, Chloe is a knave, and Penelope is a knave.", "solution_text_format": "(1) David is a knight\n(2) Mason is a knave\n(3) Alexander is a knight\n(4) Chloe is a knave\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 David 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 Chloe is not a knight.", "Chloe cannot be a knight, because this would contradict the claim of Alexander that Chloe is not a knight.", "Assume Chloe is a knave. No contradiction is found in their false claim that Alexander is a knight and Mason is a knight.", "Mason cannot be a knight, because this would contradict the false claim of Chloe that Alexander is a knight and Mason is a knight.", "Assume Mason is a knave. No contradiction is found in their false claim that If David is a knight then Mason is a knight.", "Penelope cannot be a knight, because this would contradict the claim of their own that Alexander is a knave if and only if David is a knight.", "Assume Penelope is a knave. No contradiction is found in their false claim that Alexander is a knave if and only if David is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 0), ('telling-truth', 2)), ('->', ('telling-truth', 0), ('telling-truth', 1)), ('not', ('telling-truth', 3)), ('and', ('telling-truth', 2), ('telling-truth', 1)), ('<=>', ('lying', 2), ('telling-truth', 0)))", "index": 368}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Ava, Samuel, Oliver, Lily, and Aria. \"If Lily is a knight then Oliver is a knight\" - Ava. In Samuel's words: \"Lily is not a knave\". Oliver stated, \"Ava is a knave or Lily is a knave\". Lily said that Lily is a knight. In Aria's words: \"Samuel is a knight if and only if Oliver is a knave\". So who is a knight and who is a knave?", "names": ["Ava", "Samuel", "Oliver", "Lily", "Aria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false, true], "solution_text": "Ava is a knight, Samuel is a knave, Oliver is a knight, Lily is a knave, and Aria is a knight.", "solution_text_format": "(1) Ava is a knight\n(2) Samuel is a knave\n(3) Oliver is a knight\n(4) Lily is a knave\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 Ava is a knight. No contradiction is found in their claim that If Lily is a knight then Oliver is a knight.", "Assume Lily is a knight. No contradiction is found in their claim that Lily is a knight.", "Oliver cannot be a knight, because this would contradict the claim of their own that Ava is a knave or Lily is a knave.", "Oliver cannot be a knave, because this would contradict the claim of Ava that If Lily is a knight then Oliver is a knight.", "We have exhausted all possibilities for Oliver, so let us go back and reconsider Lily.", "Assume Lily is a knave. No contradiction is found in their false claim that Lily is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that Ava is a knave or Lily is a knave.", "Samuel cannot be a knight, because this would contradict the claim of their own that Lily is not a knave.", "Assume Samuel is a knave. No contradiction is found in their false claim that Lily is not a knave.", "Assume Aria is a knight. No contradiction is found in their claim that Samuel is a knight if and only if Oliver is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 3), ('telling-truth', 2)), ('not', ('lying', 3)), ('or', ('lying', 0), ('lying', 3)), ('telling-truth', 3), ('<=>', ('telling-truth', 1), ('lying', 2)))", "index": 369}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Oliver, Lily, Logan, Chloe, and Jackson. Oliver said, \"Jackson is not a knave.\" \"Chloe is a knight and Logan is a knight,\" Lily mentioned. As Logan put it, \"Jackson is a knight if and only if Lily is a knave\". As Chloe put it, \"Lily is a knight and Oliver is a knight\". Jackson was heard saying, \"Lily is a knave\". So who is a knight and who is a knave?", "names": ["Oliver", "Lily", "Logan", "Chloe", "Jackson"], "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": "Oliver is a knight, Lily is a knave, Logan is a knight, Chloe is a knave, and Jackson is a knight.", "solution_text_format": "(1) Oliver is a knight\n(2) Lily is a knave\n(3) Logan is a knight\n(4) Chloe is a knave\n(5) Jackson is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Oliver is a knight. No contradiction is found in their claim that Jackson is not a knave.", "Assume Jackson is a knight. No contradiction is found in their claim that Lily is a knave.", "Lily cannot be a knight, because this would contradict the claim of Jackson that Lily is a knave.", "Assume Lily is a knave. No contradiction is found in their false claim that Chloe is a knight and Logan is a knight.", "Chloe cannot be a knight, because this would contradict the claim of their own that Lily is a knight and Oliver is a knight.", "Assume Chloe is a knave. No contradiction is found in their false claim that Lily is a knight and Oliver is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that Jackson is a knight if and only if Lily is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 4)), ('and', ('telling-truth', 3), ('telling-truth', 2)), ('<=>', ('telling-truth', 4), ('lying', 1)), ('and', ('telling-truth', 1), ('telling-truth', 0)), ('lying', 1))", "index": 370}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Zoey, Riley, Henry, Victoria, and Logan. In Zoey's words: \"Victoria is a knight if and only if Riley is a knight\". \"If Logan is a knave then Logan is a knight,\" Riley claimed. Henry commented, \"Logan is a knight\". Victoria said, \"Zoey is a knight.\" Logan said that Henry is a knave or Zoey is a knave. So who is a knight and who is a knave?", "names": ["Zoey", "Riley", "Henry", "Victoria", "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": "Zoey is a knave, Riley is a knight, Henry is a knight, Victoria is a knave, and Logan is a knight.", "solution_text_format": "(1) Zoey is a knave\n(2) Riley is a knight\n(3) Henry is a knight\n(4) Victoria 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 Zoey is a knight. No contradiction is found in their claim that Victoria is a knight if and only if Riley is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that Zoey is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that If Logan is a knave then Logan is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that Henry is a knave or Zoey is a knave.", "Henry cannot be a knight, because this would contradict the claim of Logan that Henry is a knave or Zoey is a knave.", "Henry cannot be a knave, because this would contradict the false claim of their own that Logan is a knight.", "We have exhausted all possibilities for Henry, so let us go back and reconsider Logan.", "Logan cannot be a knave, because this would contradict the claim of Riley that If Logan is a knave then Logan is a knight.", "We have exhausted all possibilities for Logan, so let us go back and reconsider Riley.", "Riley cannot be a knave, because this would contradict the claim of Zoey that Victoria is a knight if and only if Riley is a knight.", "We have exhausted all possibilities for Riley, so let us go back and reconsider Victoria.", "Victoria cannot be a knave, because this would contradict the false claim of their own that Zoey is a knight.", "We have exhausted all possibilities for 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 knight if and only if Riley is a knight.", "Victoria cannot be a knight, because this would contradict the claim of their own that Zoey is a knight.", "Assume Victoria is a knave. No contradiction is found in their false claim that Zoey is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that If Logan is a knave then Logan is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that Henry is a knave or Zoey is a knave.", "Assume Henry 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', 3), ('telling-truth', 1)), ('->', ('lying', 4), ('telling-truth', 4)), ('telling-truth', 4), ('telling-truth', 0), ('or', ('lying', 2), ('lying', 0)))", "index": 371}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Avery, Jackson, Sebastian, Samuel, and Sophia. In a statement by Avery: \"Jackson is a knave\". According to Jackson, \"Sophia is not a knave\". \"Sophia is a knave if and only if Avery is a knave,\" Sebastian claimed. \"Avery is a knave if and only if Sophia is a knave\" - Samuel. Sophia stated, \"If Sebastian is a knight then Sophia is a knight\". So who is a knight and who is a knave?", "names": ["Avery", "Jackson", "Sebastian", "Samuel", "Sophia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false, true], "solution_text": "Avery is a knave, Jackson is a knight, Sebastian is a knave, Samuel is a knave, and Sophia is a knight.", "solution_text_format": "(1) Avery is a knave\n(2) Jackson is a knight\n(3) Sebastian is a knave\n(4) Samuel 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 Avery is a knight. No contradiction is found in their claim that Jackson is a knave.", "Jackson cannot be a knight, because this would contradict the claim of Avery that Jackson is a knave.", "Assume Jackson is a knave. No contradiction is found in their false claim that Sophia is not a knave.", "Sophia cannot be a knight, because this would contradict the false claim of Jackson that Sophia is not a knave.", "Assume Sophia is a knave. No contradiction is found in their false claim that If Sebastian is a knight then Sophia is a knight.", "Sebastian cannot be a knight, because this would contradict the claim of their own that Sophia is a knave if and only if Avery is a knave.", "Sebastian cannot be a knave, because this would contradict the false claim of Sophia that If Sebastian is a knight then Sophia is a knight.", "We have exhausted all possibilities for Sebastian, Sophia, and Jackson, so let us go back and reconsider Avery.", "Assume Avery is a knave. No contradiction is found in their false claim that Jackson is a knave.", "Assume Jackson is a knight. No contradiction is found in their claim that Sophia is not a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that If Sebastian is a knight then Sophia is a knight.", "Sebastian cannot be a knight, because this would contradict the claim of their own that Sophia is a knave if and only if Avery is a knave.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Sophia is a knave if and only if Avery is a knave.", "Samuel cannot be a knight, because this would contradict the claim of their own that Avery is a knave if and only if Sophia is a knave.", "Assume Samuel is a knave. No contradiction is found in their false claim that Avery is a knave if and only if Sophia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('not', ('lying', 4)), ('<=>', ('lying', 4), ('lying', 0)), ('<=>', ('lying', 0), ('lying', 4)), ('->', ('telling-truth', 2), ('telling-truth', 4)))", "index": 372}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Alexander, Emma, Logan, Olivia, and Jacob. \"If Olivia is a knave then Emma is a knave,\" Alexander claimed. \"If Jacob is a knight then Alexander is a knight,\" Emma claimed. As Logan put it, \"Alexander is a knave\". \"Logan is a knave,\" Olivia claimed. Jacob said, \"Olivia is not a knight.\" So who is a knight and who is a knave?", "names": ["Alexander", "Emma", "Logan", "Olivia", "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": "Alexander is a knight, Emma is a knight, Logan is a knave, Olivia is a knight, and Jacob is a knave.", "solution_text_format": "(1) Alexander is a knight\n(2) Emma is a knight\n(3) Logan is a knave\n(4) Olivia 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 Alexander is a knight. No contradiction is found in their claim that If Olivia is a knave then Emma is a knave.", "Assume Olivia 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 their own that Alexander is a knave.", "Assume Logan is a knave. No contradiction is found in their false claim that Alexander is a knave.", "Assume Emma is a knight. No contradiction is found in their claim that If Jacob is a knight then Alexander is a knight.", "Jacob cannot be a knight, because this would contradict the claim of their own that Olivia is not a knight.", "Assume Jacob is a knave. No contradiction is found in their false claim that Olivia is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 3), ('lying', 1)), ('->', ('telling-truth', 4), ('telling-truth', 0)), ('lying', 0), ('lying', 2), ('not', ('telling-truth', 3)))", "index": 373}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: James, Mason, Lucas, Alexander, and Evelyn. In James's words: \"Mason is not a knight\". Mason expressed that Lucas is a knave and James is a knight. \"If James is a knight then Lucas is a knight,\" Lucas declared. \"If Mason is a knight then Evelyn is a knight,\" Alexander claimed. Evelyn told you that Lucas is not a knave. So who is a knight and who is a knave?", "names": ["James", "Mason", "Lucas", "Alexander", "Evelyn"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, true], "solution_text": "James is a knight, Mason is a knave, Lucas is a knight, Alexander is a knight, and Evelyn is a knight.", "solution_text_format": "(1) James is a knight\n(2) Mason is a knave\n(3) Lucas is a knight\n(4) Alexander is a knight\n(5) Evelyn is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume James is a knight. No contradiction is found in their claim that Mason is not a knight.", "Mason cannot be a knight, because this would contradict the claim of James that Mason is not a knight.", "Assume Mason is a knave. No contradiction is found in their false claim that Lucas is a knave and James is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that If James is a knight then Lucas is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that If Mason is a knight then Evelyn is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that Lucas is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('and', ('lying', 2), ('telling-truth', 0)), ('->', ('telling-truth', 0), ('telling-truth', 2)), ('->', ('telling-truth', 1), ('telling-truth', 4)), ('not', ('lying', 2)))", "index": 374}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Lucas, Matthew, Aria, Michael, and Scarlett. Lucas was heard saying, \"Lucas is a knight\". According to Matthew, \"If Aria is a knave then Michael is a knave\". \"If Scarlett is a knight then Lucas is a knave\" - Aria. Michael remarked, \"Scarlett is a knight or Matthew is a knight\". \"Lucas is a knave or Aria is a knight,\" Scarlett mentioned. So who is a knight and who is a knave?", "names": ["Lucas", "Matthew", "Aria", "Michael", "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": "Lucas is a knave, Matthew is a knight, Aria is a knight, Michael is a knight, and Scarlett is a knight.", "solution_text_format": "(1) Lucas is a knave\n(2) Matthew is a knight\n(3) Aria 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 Lucas is a knight. No contradiction is found in their claim that Lucas is a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that If Aria is a knave then Michael is a knave.", "Assume Aria is a knight. No contradiction is found in their claim that If Scarlett is a knight then Lucas is a knave.", "Scarlett cannot be a knight, because this would contradict the claim of Aria that If Scarlett is a knight then Lucas is a knave.", "Scarlett cannot be a knave, because this would contradict the false claim of their own that Lucas is a knave or Aria is a knight.", "We have exhausted all possibilities for Scarlett, so let us go back and reconsider Aria.", "Assume Aria is a knave. No contradiction is found in their false claim that If Scarlett is a knight then Lucas is a knave.", "Scarlett cannot be a knight, because this would contradict the claim of their own that Lucas is a knave or Aria is a knight.", "Scarlett cannot be a knave, because this would contradict the false claim of Aria that If Scarlett is a knight then Lucas is a knave.", "We have exhausted all possibilities for Scarlett and Aria, so let us go back and reconsider Matthew.", "Assume Matthew is a knave. No contradiction is found in their false claim that If Aria is a knave then Michael is a knave.", "Aria cannot be a knight, because this would contradict the false claim of Matthew that If Aria is a knave then Michael is a knave.", "Assume Aria is a knave. No contradiction is found in their false claim that If Scarlett is a knight then Lucas is a knave.", "Scarlett cannot be a knight, because this would contradict the claim of their own that Lucas is a knave or Aria is a knight.", "Scarlett cannot be a knave, because this would contradict the false claim of Aria that If Scarlett is a knight then Lucas is a knave.", "We have exhausted all possibilities for Scarlett, Aria, and Matthew, so let us go back and reconsider Lucas.", "Assume Lucas is a knave. No contradiction is found in their false claim that Lucas is a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that If Aria is a knave then Michael is a knave.", "Assume Aria is a knight. No contradiction is found in their claim that If Scarlett is a knight then Lucas is a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that Lucas is a knave or Aria is a knight.", "Assume Michael is a knight. No contradiction is found in their claim that Scarlett is a knight or Matthew is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 0), ('->', ('lying', 2), ('lying', 3)), ('->', ('telling-truth', 4), ('lying', 0)), ('or', ('telling-truth', 4), ('telling-truth', 1)), ('or', ('lying', 0), ('telling-truth', 2)))", "index": 375}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: William, James, Ella, Zoey, and Liam. William noted, \"If Zoey is a knight then James is a knave\". James said, \"Ella is not a knave.\" \"James is a knave or William is a knave,\" Ella mentioned. Zoey was heard saying, \"Zoey is a knight\". In a statement by Liam: \"If Ella is a knight then James is a knight\". So who is a knight and who is a knave?", "names": ["William", "James", "Ella", "Zoey", "Liam"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, true], "solution_text": "William is a knave, James is a knight, Ella is a knight, Zoey is a knight, and Liam is a knight.", "solution_text_format": "(1) William is a knave\n(2) James is a knight\n(3) Ella is a knight\n(4) Zoey is a knight\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 William is a knight. No contradiction is found in their claim that If Zoey is a knight then James is a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that Zoey is a knight.", "James cannot be a knight, because this would contradict the claim of William that If Zoey is a knight then James is a knave.", "Assume James 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 James that Ella is not a knave.", "Ella cannot be a knave, because this would contradict the false claim of their own that James is a knave or William is a knave.", "We have exhausted all possibilities for Ella and James, so let us go back and reconsider Zoey.", "Assume Zoey is a knave. No contradiction is found in their false claim that Zoey is a knight.", "Assume James is a knight. No contradiction is found in their claim that Ella is not a knave.", "Ella cannot be a knight, because this would contradict the claim of their own that James is a knave or William is a knave.", "Ella cannot be a knave, because this would contradict the claim of James that Ella is not a knave.", "We have exhausted all possibilities for Ella, so let us go back and reconsider James.", "Assume James 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 James that Ella is not a knave.", "Ella cannot be a knave, because this would contradict the false claim of their own that James is a knave or William is a knave.", "We have exhausted all possibilities for Ella, James, and Zoey, so let us go back and reconsider William.", "Assume William is a knave. No contradiction is found in their false claim that If Zoey is a knight then James is a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that Zoey is a knight.", "Assume James 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 James is a knave or William is a knave.", "Assume Liam is a knight. No contradiction is found in their claim that If Ella is a knight then James is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 3), ('lying', 1)), ('not', ('lying', 2)), ('or', ('lying', 1), ('lying', 0)), ('telling-truth', 3), ('->', ('telling-truth', 2), ('telling-truth', 1)))", "index": 376}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Riley, Zoey, Jack, Olivia, and Penelope. Riley said that Riley is a knight. Zoey said that Olivia is a knave if and only if Riley is a knave. Jack commented, \"Penelope is a knave\". In Olivia's words: \"Olivia is a knight if and only if Riley is a knight\". \"Jack is a knight or Zoey is a knave,\" Penelope claimed. So who is a knight and who is a knave?", "names": ["Riley", "Zoey", "Jack", "Olivia", "Penelope"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false, true], "solution_text": "Riley is a knight, Zoey is a knave, Jack is a knave, Olivia is a knave, and Penelope is a knight.", "solution_text_format": "(1) Riley is a knight\n(2) Zoey is a knave\n(3) Jack is a knave\n(4) Olivia is a knave\n(5) Penelope is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Riley is a knight. No contradiction is found in their claim that Riley is a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that Olivia is a knave if and only if Riley is a knave.", "Assume Olivia is a knight. No contradiction is found in their claim that Olivia is a knight if and only if Riley is a knight.", "Assume Jack 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 Jack that Penelope is a knave.", "Penelope cannot be a knave, because this would contradict the false claim of their own that Jack is a knight or Zoey is a knave.", "We have exhausted all possibilities for Penelope, so let us go back and reconsider Jack.", "Assume Jack is a knave. No contradiction is found in their false claim that Penelope is a knave.", "Penelope cannot be a knight, because this would contradict the claim of their own that Jack is a knight or Zoey is a knave.", "Penelope cannot be a knave, because this would contradict the false claim of Jack that Penelope is a knave.", "We have exhausted all possibilities for Penelope and Jack, so let us go back and reconsider Olivia.", "Olivia cannot be a knave, because this would contradict the claim of Zoey that Olivia is a knave if and only if Riley is a knave.", "We have exhausted all possibilities for Olivia, so let us go back and reconsider Zoey.", "Assume Zoey is a knave. No contradiction is found in their false claim that Olivia is a knave if and only if Riley is a knave.", "Olivia cannot be a knight, because this would contradict the false claim of Zoey that Olivia is a knave if and only if Riley is a knave.", "Assume Olivia is a knave. No contradiction is found in their false claim that Olivia is a knight if and only if Riley is a knight.", "Assume Jack 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 Jack that Penelope is a knave.", "Penelope cannot be a knave, because this would contradict the false claim of their own that Jack is a knight or Zoey is a knave.", "We have exhausted all possibilities for Penelope, so let us go back and reconsider Jack.", "Assume Jack is a knave. No contradiction is found in their false claim that Penelope is a knave.", "Assume Penelope is a knight. No contradiction is found in their claim that Jack is a knight or Zoey is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 0), ('<=>', ('lying', 3), ('lying', 0)), ('lying', 4), ('<=>', ('telling-truth', 3), ('telling-truth', 0)), ('or', ('telling-truth', 2), ('lying', 1)))", "index": 377}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Emma, Samuel, Joseph, James, and Sophia. As Emma put it, \"Sophia is a knight\". \"Samuel is a knight or Joseph is a knave,\" Samuel mentioned. Joseph said that Sophia is a knave if and only if Joseph is a knight. James noted, \"Emma is not a knight\". As Sophia put it, \"Joseph is a knight\". So who is a knight and who is a knave?", "names": ["Emma", "Samuel", "Joseph", "James", "Sophia"], "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": "Emma is a knave, Samuel is a knight, Joseph is a knave, James is a knight, and Sophia is a knave.", "solution_text_format": "(1) Emma is a knave\n(2) Samuel is a knight\n(3) Joseph is a knave\n(4) James is a knight\n(5) Sophia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Emma is a knight. No contradiction is found in their claim that Sophia is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that Joseph is a knight.", "Joseph cannot be a knight, because this would contradict the claim of their own that Sophia is a knave if and only if Joseph is a knight.", "Joseph cannot be a knave, because this would contradict the false claim of their own that Sophia is a knave if and only if Joseph is a knight.", "We have exhausted all possibilities for Joseph, so let us go back and reconsider Sophia.", "Sophia cannot be a knave, because this would contradict the claim of Emma that Sophia is a knight.", "We have exhausted all possibilities for Sophia, so let us go back and reconsider Emma.", "Assume Emma is a knave. No contradiction is found in their false claim that Sophia is a knight.", "Sophia cannot be a knight, because this would contradict the false claim of Emma that Sophia is a knight.", "Assume Sophia is a knave. No contradiction is found in their false claim that Joseph is a knight.", "Joseph cannot be a knight, because this would contradict the false claim of Sophia that Joseph is a knight.", "Assume Joseph is a knave. No contradiction is found in their false claim that Sophia is a knave if and only if Joseph is a knight.", "Assume Samuel is a knight. No contradiction is found in their claim that Samuel is a knight or Joseph is a knave.", "Assume James is a knight. No contradiction is found in their claim that Emma is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 4), ('or', ('telling-truth', 1), ('lying', 2)), ('<=>', ('lying', 4), ('telling-truth', 2)), ('not', ('telling-truth', 0)), ('telling-truth', 2))", "index": 378}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Charlotte, Luke, Victoria, Zoey, and Avery. Charlotte expressed that Avery is a knave if and only if Luke is a knight. In Luke's words: \"Avery is a knave and Zoey is a knight\". Victoria asserted: \"Charlotte is not a knave\". In Zoey's words: \"Victoria is a knight\". Avery noted, \"Zoey is a knave and Charlotte is a knave\". So who is a knight and who is a knave?", "names": ["Charlotte", "Luke", "Victoria", "Zoey", "Avery"], "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": "Charlotte is a knight, Luke is a knight, Victoria is a knight, Zoey is a knight, and Avery is a knave.", "solution_text_format": "(1) Charlotte is a knight\n(2) Luke is a knight\n(3) Victoria is a knight\n(4) Zoey 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 Charlotte is a knight. No contradiction is found in their claim that Avery is a knave if and only if Luke is a knight.", "Avery cannot be a knight, because this would contradict the claim of their own that Zoey is a knave and Charlotte is a knave.", "Assume Avery is a knave. No contradiction is found in their false claim that Zoey is a knave and Charlotte is a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that Victoria is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that Charlotte is not a knave.", "Assume Luke is a knight. No contradiction is found in their claim that Avery is a knave and Zoey is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 4), ('telling-truth', 1)), ('and', ('lying', 4), ('telling-truth', 3)), ('not', ('lying', 0)), ('telling-truth', 2), ('and', ('lying', 3), ('lying', 0)))", "index": 379}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Owen, Olivia, Logan, Charlotte, and Henry. As Owen put it, \"Logan is a knave if and only if Logan is a knight\". In a statement by Olivia: \"If Owen is a knave then Owen is a knight\". Logan expressed that Owen is not a knight. \"Olivia is a knave if and only if Olivia is a knight,\" Charlotte declared. As Henry put it, \"Logan is a knight if and only if Charlotte is a knight\". So who is a knight and who is a knave?", "names": ["Owen", "Olivia", "Logan", "Charlotte", "Henry"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false, false], "solution_text": "Owen is a knave, Olivia is a knave, Logan is a knight, Charlotte is a knave, and Henry is a knave.", "solution_text_format": "(1) Owen is a knave\n(2) Olivia is a knave\n(3) Logan is a knight\n(4) Charlotte is a knave\n(5) Henry is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Owen cannot be a knight, because this would contradict the claim of their own that Logan is a knave if and only if Logan is a knight.", "Assume Owen is a knave. No contradiction is found in their false claim that Logan is a knave if and only if Logan is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that Owen is not a knight.", "Olivia cannot be a knight, because this would contradict the claim of their own that If Owen is a knave then Owen is a knight.", "Assume Olivia is a knave. No contradiction is found in their false claim that If Owen is a knave then Owen is a knight.", "Charlotte cannot be a knight, because this would contradict the claim of their own that Olivia is a knave if and only if Olivia is a knight.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Olivia is a knave if and only if Olivia is a knight.", "Henry cannot be a knight, because this would contradict the claim of their own that Logan is a knight if and only if Charlotte is a knight.", "Assume Henry is a knave. No contradiction is found in their false claim that Logan is a knight if and only if Charlotte is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 2), ('telling-truth', 2)), ('->', ('lying', 0), ('telling-truth', 0)), ('not', ('telling-truth', 0)), ('<=>', ('lying', 1), ('telling-truth', 1)), ('<=>', ('telling-truth', 2), ('telling-truth', 3)))", "index": 380}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Jackson, Scarlett, Isabella, David, and Luke. Jackson remarked, \"David is a knave and Isabella is a knave\". \"David is not a knave\" - Scarlett. Isabella said that Jackson is a knave and David is a knave. David said that Luke is a knight or Luke is a knave. Luke told you that Scarlett is a knave. So who is a knight and who is a knave?", "names": ["Jackson", "Scarlett", "Isabella", "David", "Luke"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true, false], "solution_text": "Jackson is a knave, Scarlett is a knight, Isabella is a knave, David is a knight, and Luke is a knave.", "solution_text_format": "(1) Jackson is a knave\n(2) Scarlett is a knight\n(3) Isabella is a knave\n(4) David is a knight\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 Jackson is a knight. No contradiction is found in their claim that David is a knave and Isabella is a knave.", "David cannot be a knight, because this would contradict the claim of Jackson that David is a knave and Isabella is a knave.", "David cannot be a knave, because this would contradict the false claim of their own that Luke is a knight or Luke is a knave.", "We have exhausted all possibilities for David, so let us go back and reconsider Jackson.", "Assume Jackson is a knave. No contradiction is found in their false claim that David is a knave and Isabella is a knave.", "Assume David is a knight. No contradiction is found in their claim that Luke is a knight or Luke is a knave.", "Assume Luke is a knight. No contradiction is found in their claim that Scarlett is a knave.", "Scarlett cannot be a knight, because this would contradict the claim of Luke that Scarlett is a knave.", "Scarlett 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 Scarlett, so let us go back and reconsider Luke.", "Assume Luke is a knave. No contradiction is found in their false claim that Scarlett is a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that David is not a knave.", "Isabella cannot be a knight, because this would contradict the claim of their own that Jackson is a knave and David is a knave.", "Assume Isabella is a knave. No contradiction is found in their false claim that Jackson is a knave and David is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 3), ('lying', 2)), ('not', ('lying', 3)), ('and', ('lying', 0), ('lying', 3)), ('or', ('telling-truth', 4), ('lying', 4)), ('lying', 1))", "index": 381}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Oliver, Charlotte, Jack, Daniel, and Abigail. Oliver said, \"If Charlotte is a knave then Charlotte is a knight.\" Charlotte told you that Daniel is a knave. Jack said that Charlotte is a knave or Oliver is a knight. Daniel asserted: \"Charlotte is a knight and Oliver is a knave\". Abigail remarked, \"If Daniel is a knave then Oliver is a knave\". So who is a knight and who is a knave?", "names": ["Oliver", "Charlotte", "Jack", "Daniel", "Abigail"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false, false], "solution_text": "Oliver is a knight, Charlotte is a knight, Jack is a knight, Daniel is a knave, and Abigail is a knave.", "solution_text_format": "(1) Oliver is a knight\n(2) Charlotte is a knight\n(3) Jack is a knight\n(4) Daniel is a knave\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 Oliver is a knight. No contradiction is found in their claim that If Charlotte is a knave then Charlotte is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that Daniel is a knave.", "Daniel cannot be a knight, because this would contradict the claim of Charlotte that Daniel is a knave.", "Assume Daniel is a knave. No contradiction is found in their false claim that Charlotte is a knight and Oliver is a knave.", "Assume Jack is a knight. No contradiction is found in their claim that Charlotte is a knave or Oliver is a knight.", "Abigail cannot be a knight, because this would contradict the claim of their own that If Daniel is a knave then Oliver is a knave.", "Assume Abigail is a knave. No contradiction is found in their false claim that If Daniel is a knave then Oliver is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 1), ('telling-truth', 1)), ('lying', 3), ('or', ('lying', 1), ('telling-truth', 0)), ('and', ('telling-truth', 1), ('lying', 0)), ('->', ('lying', 3), ('lying', 0)))", "index": 382}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Daniel, Sophia, Riley, Ethan, and Lily. \"Lily is not a knight\" - Daniel. Sophia remarked, \"Ethan is a knight if and only if Riley is a knight\". Riley commented, \"Ethan is a knave if and only if Lily is a knight\". According to Ethan, \"Sophia is a knave if and only if Lily is a knight\". Lily commented, \"Riley is a knight or Riley is a knave\". So who is a knight and who is a knave?", "names": ["Daniel", "Sophia", "Riley", "Ethan", "Lily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true, true], "solution_text": "Daniel is a knave, Sophia is a knave, Riley is a knave, Ethan is a knight, and Lily is a knight.", "solution_text_format": "(1) Daniel is a knave\n(2) Sophia is a knave\n(3) Riley is a knave\n(4) Ethan 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": ["Assume Daniel is a knight. No contradiction is found in their claim that Lily is not a knight.", "Lily cannot be a knight, because this would contradict the claim of Daniel that Lily is not a knight.", "Lily cannot be a knave, because this would contradict the false claim of their own that Riley is a knight or Riley is a knave.", "We have exhausted all possibilities for Lily, so let us go back and reconsider Daniel.", "Assume Daniel is a knave. No contradiction is found in their false claim that Lily is not a knight.", "Assume Lily is a knight. No contradiction is found in their claim that Riley is a knight or Riley is a knave.", "Assume Riley is a knight. No contradiction is found in their claim that Ethan is a knave if and only if Lily is a knight.", "Ethan cannot be a knight, because this would contradict the claim of Riley that Ethan is a knave if and only if Lily is a knight.", "Assume Ethan is a knave. No contradiction is found in their false claim that Sophia is a knave if and only if Lily is a knight.", "Sophia cannot be a knight, because this would contradict the claim of their own that Ethan is a knight if and only if Riley is a knight.", "Sophia cannot be a knave, because this would contradict the false claim of Ethan that Sophia is a knave if and only if Lily is a knight.", "We have exhausted all possibilities for Sophia and Ethan, so let us go back and reconsider Riley.", "Assume Riley is a knave. No contradiction is found in their false claim that Ethan is a knave if and only if Lily is a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that Sophia is a knave if and only if Lily is a knight.", "Sophia cannot be a knight, because this would contradict the claim of their own that Ethan is a knight if and only if Riley is a knight.", "Assume Sophia is a knave. No contradiction is found in their false claim that Ethan is a knight if and only if Riley is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 4)), ('<=>', ('telling-truth', 3), ('telling-truth', 2)), ('<=>', ('lying', 3), ('telling-truth', 4)), ('<=>', ('lying', 1), ('telling-truth', 4)), ('or', ('telling-truth', 2), ('lying', 2)))", "index": 383}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Penelope, Avery, Aurora, Joseph, and Chloe. Penelope noted, \"Chloe is a knight or Aurora is a knave\". Avery expressed that Avery is a knight or Chloe is a knave. \"Avery is a knight or Joseph is a knave,\" Aurora declared. According to Joseph, \"If Penelope is a knave then Avery is a knave\". Chloe said, \"Avery is a knave and Avery is a knight.\" So who is a knight and who is a knave?", "names": ["Penelope", "Avery", "Aurora", "Joseph", "Chloe"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false, false], "solution_text": "Penelope is a knave, Avery is a knight, Aurora is a knight, Joseph is a knave, and Chloe is a knave.", "solution_text_format": "(1) Penelope is a knave\n(2) Avery is a knight\n(3) Aurora is a knight\n(4) Joseph is a knave\n(5) Chloe is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Penelope is a knight. No contradiction is found in their claim that Chloe is a knight or Aurora is a knave.", "Chloe cannot be a knight, because this would contradict the claim of their own that Avery is a knave and Avery is a knight.", "Assume Chloe is a knave. No contradiction is found in their false claim that Avery is a knave and Avery is a knight.", "Assume Avery is a knight. No contradiction is found in their claim that Avery is a knight or Chloe is a knave.", "Aurora cannot be a knight, because this would contradict the claim of Penelope that Chloe is a knight or Aurora is a knave.", "Aurora cannot be a knave, because this would contradict the false claim of their own that Avery is a knight or Joseph is a knave.", "We have exhausted all possibilities for Aurora, so let us go back and reconsider Avery.", "Avery cannot be a knave, because this would contradict the false claim of their own that Avery is a knight or Chloe is a knave.", "We have exhausted all possibilities for Avery and Chloe, so let us go back and reconsider Penelope.", "Assume Penelope is a knave. No contradiction is found in their false claim that Chloe is a knight or Aurora is a knave.", "Chloe cannot be a knight, because this would contradict the false claim of Penelope that Chloe is a knight or Aurora is a knave.", "Assume Chloe is a knave. No contradiction is found in their false claim that Avery is a knave and Avery is a knight.", "Assume Avery is a knight. No contradiction is found in their claim that Avery is a knight or Chloe is a knave.", "Assume Aurora is a knight. No contradiction is found in their claim that Avery is a knight or Joseph is a knave.", "Joseph cannot be a knight, because this would contradict the claim of their own that If Penelope is a knave then Avery is a knave.", "Assume Joseph is a knave. No contradiction is found in their false claim that If Penelope is a knave then Avery is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 4), ('lying', 2)), ('or', ('telling-truth', 1), ('lying', 4)), ('or', ('telling-truth', 1), ('lying', 3)), ('->', ('lying', 0), ('lying', 1)), ('and', ('lying', 1), ('telling-truth', 1)))", "index": 384}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Jack, Isabella, Joseph, Mia, and Emma. \"Emma is a knight,\" Jack declared. Isabella expressed that Emma is not a knave. \"Emma is a knave if and only if Mia is a knave\" - Joseph. Mia noted, \"If Jack is a knight then Emma is a knave\". As Emma put it, \"Joseph is a knave or Mia is a knave\". So who is a knight and who is a knave?", "names": ["Jack", "Isabella", "Joseph", "Mia", "Emma"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false, true], "solution_text": "Jack is a knight, Isabella is a knight, Joseph is a knave, Mia is a knave, and Emma is a knight.", "solution_text_format": "(1) Jack is a knight\n(2) Isabella is a knight\n(3) Joseph is a knave\n(4) Mia is a knave\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 Jack 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 Joseph is a knave or Mia is a knave.", "Assume Joseph is a knight. No contradiction is found in their claim that Emma is a knave if and only if Mia is a knave.", "Mia cannot be a knight, because this would contradict the claim of their own that If Jack is a knight then Emma is a knave.", "Mia cannot be a knave, because this would contradict the claim of Joseph that Emma is a knave if and only if Mia is a knave.", "We have exhausted all possibilities for Mia, so let us go back and reconsider Joseph.", "Assume Joseph is a knave. No contradiction is found in their false claim that Emma is a knave if and only if Mia is a knave.", "Mia cannot be a knight, because this would contradict the false claim of Joseph that Emma is a knave if and only if Mia is a knave.", "Assume Mia is a knave. No contradiction is found in their false claim that If Jack is a knight then Emma is a knave.", "Assume Isabella is a knight. No contradiction is found in their claim that Emma is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 4), ('not', ('lying', 4)), ('<=>', ('lying', 4), ('lying', 3)), ('->', ('telling-truth', 0), ('lying', 4)), ('or', ('lying', 2), ('lying', 3)))", "index": 385}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Evelyn, Oliver, Sofia, Chloe, and Mason. \"Oliver is not a knave,\" Evelyn claimed. As Oliver put it, \"Chloe is not a knight\". \"If Mason is a knave then Mason is a knight,\" Sofia mentioned. Chloe expressed that Mason is a knight and Oliver is a knight. Mason was heard saying, \"Oliver is not a knight\". So who is a knight and who is a knave?", "names": ["Evelyn", "Oliver", "Sofia", "Chloe", "Mason"], "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": "Evelyn is a knight, Oliver is a knight, Sofia is a knave, Chloe is a knave, and Mason is a knave.", "solution_text_format": "(1) Evelyn is a knight\n(2) Oliver is a knight\n(3) Sofia is a knave\n(4) Chloe is a knave\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 Evelyn is a knight. No contradiction is found in their claim that Oliver is not a knave.", "Assume Oliver is a knight. No contradiction is found in their claim that Chloe is not a knight.", "Chloe cannot be a knight, because this would contradict the claim of Oliver that Chloe is not a knight.", "Assume Chloe is a knave. No contradiction is found in their false claim that Mason is a knight and Oliver is a knight.", "Mason cannot be a knight, because this would contradict the false claim of Chloe that Mason is a knight and Oliver is a knight.", "Assume Mason is a knave. No contradiction is found in their false claim that Oliver is not a knight.", "Sofia cannot be a knight, because this would contradict the claim of their own that If Mason is a knave then Mason is a knight.", "Assume Sofia is a knave. No contradiction is found in their false claim that If Mason is a knave then Mason is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 1)), ('not', ('telling-truth', 3)), ('->', ('lying', 4), ('telling-truth', 4)), ('and', ('telling-truth', 4), ('telling-truth', 1)), ('not', ('telling-truth', 1)))", "index": 386}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Jack, Joseph, Mason, Riley, and William. Jack was heard saying, \"Jack is a knight or Mason is a knight\". \"Jack is a knight if and only if Riley is a knight\" - Joseph. Mason said, \"If William is a knave then Jack is a knight.\" Riley asserted: \"Riley is a knight if and only if Joseph is a knave\". According to William, \"Mason is a knave and Jack is a knave\". So who is a knight and who is a knave?", "names": ["Jack", "Joseph", "Mason", "Riley", "William"], "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": "Jack is a knight, Joseph is a knave, Mason is a knight, Riley is a knave, and William is a knave.", "solution_text_format": "(1) Jack is a knight\n(2) Joseph is a knave\n(3) Mason is a knight\n(4) Riley is a knave\n(5) 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 Jack is a knight. No contradiction is found in their claim that Jack is a knight or Mason is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that If William is a knave then Jack is a knight.", "William cannot be a knight, because this would contradict the claim of their own that Mason is a knave and Jack is a knave.", "Assume William is a knave. No contradiction is found in their false claim that Mason is a knave and Jack is a knave.", "Assume Joseph is a knight. No contradiction is found in their claim that Jack is a knight if and only if Riley is a knight.", "Riley cannot be a knight, because this would contradict the claim of their own that Riley is a knight if and only if Joseph is a knave.", "Riley cannot be a knave, because this would contradict the claim of Joseph that Jack is a knight if and only if Riley is a knight.", "We have exhausted all possibilities for Riley, so let us go back and reconsider Joseph.", "Assume Joseph is a knave. No contradiction is found in their false claim that Jack is a knight if and only if Riley is a knight.", "Riley cannot be a knight, because this would contradict the false claim of Joseph that Jack is a knight if and only if Riley is a knight.", "Assume Riley is a knave. No contradiction is found in their false claim that Riley is a knight if and only if Joseph is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 0), ('telling-truth', 2)), ('<=>', ('telling-truth', 0), ('telling-truth', 3)), ('->', ('lying', 4), ('telling-truth', 0)), ('<=>', ('telling-truth', 3), ('lying', 1)), ('and', ('lying', 2), ('lying', 0)))", "index": 387}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Penelope, Riley, Aria, Emma, and Abigail. \"Emma is not a knave,\" Penelope mentioned. Riley asserted: \"Emma is a knave\". \"Aria is a knight or Emma is a knave,\" Aria mentioned. \"Aria is a knight\" - Emma. Abigail was heard saying, \"Emma is a knight\". So who is a knight and who is a knave?", "names": ["Penelope", "Riley", "Aria", "Emma", "Abigail"], "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": "Penelope is a knight, Riley is a knave, Aria is a knight, Emma is a knight, and Abigail is a knight.", "solution_text_format": "(1) Penelope is a knight\n(2) Riley is a knave\n(3) Aria is a knight\n(4) Emma is a knight\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 Penelope is a knight. No contradiction is found in their claim that Emma is not a knave.", "Assume Emma is a knight. No contradiction is found in their claim that Aria is a knight.", "Assume Aria is a knight. No contradiction is found in their claim that Aria is a knight or Emma is a knave.", "Riley cannot be a knight, because this would contradict the claim of their own that Emma is a knave.", "Assume Riley is a knave. No contradiction is found in their false claim that Emma is a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that Emma is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 3)), ('lying', 3), ('or', ('telling-truth', 2), ('lying', 3)), ('telling-truth', 2), ('telling-truth', 3))", "index": 388}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Samuel, Scarlett, Emma, Zoey, and Ella. As Samuel put it, \"Emma is a knave and Zoey is a knave\". In a statement by Scarlett: \"Zoey is not a knight\". As Emma put it, \"Ella is a knight and Samuel is a knave\". According to Zoey, \"Emma is a knight\". Ella expressed that Zoey is not a knight. So who is a knight and who is a knave?", "names": ["Samuel", "Scarlett", "Emma", "Zoey", "Ella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false, true], "solution_text": "Samuel is a knight, Scarlett is a knight, Emma is a knave, Zoey is a knave, and Ella is a knight.", "solution_text_format": "(1) Samuel is a knight\n(2) Scarlett is a knight\n(3) Emma is a knave\n(4) Zoey is a knave\n(5) Ella is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Samuel is a knight. No contradiction is found in their claim that Emma is a knave and Zoey is a knave.", "Emma cannot be a knight, because this would contradict the claim of Samuel that Emma is a knave and Zoey is a knave.", "Assume Emma is a knave. No contradiction is found in their false claim that Ella is a knight and Samuel is a knave.", "Assume Ella is a knight. No contradiction is found in their claim that Zoey is not a knight.", "Zoey cannot be a knight, because this would contradict the claim of Samuel that Emma is a knave and Zoey is a knave.", "Assume Zoey is a knave. No contradiction is found in their false claim that Emma is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that Zoey is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('lying', 3)), ('not', ('telling-truth', 3)), ('and', ('telling-truth', 4), ('lying', 0)), ('telling-truth', 2), ('not', ('telling-truth', 3)))", "index": 389}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Harper, Benjamin, Logan, Samuel, and Charlotte. Harper stated, \"If Benjamin is a knight then Samuel is a knight\". As Benjamin put it, \"Samuel is a knight\". Logan said, \"Benjamin is not a knave.\" Samuel stated, \"Charlotte is a knave\". Charlotte noted, \"Harper is a knight or Harper is a knave\". So who is a knight and who is a knave?", "names": ["Harper", "Benjamin", "Logan", "Samuel", "Charlotte"], "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": "Harper is a knight, Benjamin is a knave, Logan is a knave, Samuel is a knave, and Charlotte is a knight.", "solution_text_format": "(1) Harper is a knight\n(2) Benjamin is a knave\n(3) Logan is a knave\n(4) Samuel 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 Harper is a knight. No contradiction is found in their claim that If Benjamin is a knight then Samuel is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that Samuel is a knight.", "Assume Samuel is a knight. No contradiction is found in their claim that Charlotte is a knave.", "Charlotte cannot be a knight, because this would contradict the claim of Samuel that Charlotte is a knave.", "Charlotte cannot be a knave, because this would contradict the false claim of their own that Harper is a knight or Harper is a knave.", "We have exhausted all possibilities for Charlotte, so let us go back and reconsider Samuel.", "Samuel cannot be a knave, because this would contradict the claim of Harper that If Benjamin is a knight then Samuel is a knight.", "We have exhausted all possibilities for Samuel, so let us go back and reconsider Benjamin.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Samuel is a knight.", "Samuel cannot be a knight, because this would contradict the false claim of Benjamin that Samuel is a knight.", "Assume Samuel 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 Harper is a knight or Harper is a knave.", "Logan cannot be a knight, because this would contradict the claim of their own that Benjamin is not a knave.", "Assume Logan is a knave. No contradiction is found in their false claim that Benjamin is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 1), ('telling-truth', 3)), ('telling-truth', 3), ('not', ('lying', 1)), ('lying', 4), ('or', ('telling-truth', 0), ('lying', 0)))", "index": 390}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Logan, Oliver, Aria, Harper, and Scarlett. \"Scarlett is a knight and Aria is a knight,\" Logan declared. As Oliver put it, \"If Scarlett is a knight then Harper is a knave\". As Aria put it, \"Harper is a knight if and only if Scarlett is a knight\". According to Harper, \"Oliver is a knight\". Scarlett expressed that Logan is not a knave. So who is a knight and who is a knave?", "names": ["Logan", "Oliver", "Aria", "Harper", "Scarlett"], "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": "Logan is a knave, Oliver is a knight, Aria is a knave, Harper is a knight, and Scarlett is a knave.", "solution_text_format": "(1) Logan is a knave\n(2) Oliver is a knight\n(3) Aria is a knave\n(4) Harper 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 Logan is a knight. No contradiction is found in their claim that Scarlett is a knight and Aria is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that Logan is not a knave.", "Assume Aria is a knight. No contradiction is found in their claim that Harper is a knight if and only if Scarlett is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that Oliver is a knight.", "Oliver cannot be a knight, because this would contradict the claim of their own that If Scarlett is a knight then Harper is a knave.", "Oliver cannot be a knave, because this would contradict the claim of Harper that Oliver is a knight.", "We have exhausted all possibilities for Oliver, so let us go back and reconsider Harper.", "Harper cannot be a knave, because this would contradict the claim of Aria that Harper is a knight if and only if Scarlett is a knight.", "We have exhausted all possibilities for Harper, so let us go back and reconsider Aria.", "Aria cannot be a knave, because this would contradict the claim of Logan that Scarlett is a knight and Aria is a knight.", "We have exhausted all possibilities for Aria, so let us go back and reconsider Scarlett.", "Scarlett cannot be a knave, because this would contradict the claim of Logan that Scarlett is a knight and Aria is a knight.", "We have exhausted all possibilities for Scarlett, so let us go back and reconsider Logan.", "Assume Logan is a knave. No contradiction is found in their false claim that Scarlett is a knight and Aria is a knight.", "Scarlett cannot be a knight, because this would contradict the claim of their own that Logan is not a knave.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Logan is not a knave.", "Assume Aria is a knight. No contradiction is found in their claim that Harper is a knight if and only if Scarlett is a knight.", "Harper cannot be a knight, because this would contradict the claim of Aria that Harper is a knight if and only if Scarlett is a knight.", "Assume Harper is a knave. No contradiction is found in their false claim that Oliver is a knight.", "Oliver cannot be a knight, because this would contradict the false claim of Harper that Oliver is a knight.", "Oliver cannot be a knave, because this would contradict the false claim of their own that If Scarlett is a knight then Harper is a knave.", "We have exhausted all possibilities for Oliver and Harper, so let us go back and reconsider Aria.", "Assume Aria is a knave. No contradiction is found in their false claim that Harper is a knight if and only if Scarlett is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that Oliver is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that If Scarlett is a knight then Harper is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 4), ('telling-truth', 2)), ('->', ('telling-truth', 4), ('lying', 3)), ('<=>', ('telling-truth', 3), ('telling-truth', 4)), ('telling-truth', 1), ('not', ('lying', 0)))", "index": 391}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Emily, Amelia, Benjamin, Evelyn, and Oliver. In a statement by Emily: \"Oliver is a knight or Oliver is a knave\". Amelia said that Emily is not a knave. Benjamin was heard saying, \"Oliver is a knave if and only if Amelia is a knave\". Evelyn said, \"Emily is a knave and Benjamin is a knight.\" Oliver remarked, \"Evelyn is a knave\". So who is a knight and who is a knave?", "names": ["Emily", "Amelia", "Benjamin", "Evelyn", "Oliver"], "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": "Emily is a knight, Amelia is a knight, Benjamin is a knight, Evelyn is a knave, and Oliver is a knight.", "solution_text_format": "(1) Emily is a knight\n(2) Amelia is a knight\n(3) Benjamin is a knight\n(4) Evelyn is a knave\n(5) Oliver is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Emily is a knight. No contradiction is found in their claim that Oliver is a knight or Oliver is a knave.", "Assume Oliver is a knight. No contradiction is found in their claim that Evelyn is a knave.", "Evelyn cannot be a knight, because this would contradict the claim of their own that Emily is a knave and Benjamin is a knight.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Emily is a knave and Benjamin is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that Oliver is a knave if and only if Amelia is a knave.", "Assume Amelia is a knight. No contradiction is found in their claim that Emily is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 4), ('lying', 4)), ('not', ('lying', 0)), ('<=>', ('lying', 4), ('lying', 1)), ('and', ('lying', 0), ('telling-truth', 2)), ('lying', 3))", "index": 392}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Jacob, David, Evelyn, Logan, and Victoria. In a statement by Jacob: \"If Victoria is a knight then David is a knight\". In a statement by David: \"Victoria is a knave or Logan is a knave\". \"Victoria is a knave and Logan is a knight,\" Evelyn claimed. As Logan put it, \"If Logan is a knight then Jacob is a knight\". As Victoria put it, \"Jacob is a knave if and only if Evelyn is a knight\". So who is a knight and who is a knave?", "names": ["Jacob", "David", "Evelyn", "Logan", "Victoria"], "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": "Jacob is a knight, David is a knight, Evelyn is a knight, Logan is a knight, and Victoria is a knave.", "solution_text_format": "(1) Jacob is a knight\n(2) David is a knight\n(3) Evelyn is a knight\n(4) Logan is a knight\n(5) Victoria is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jacob is a knight. No contradiction is found in their claim that If Victoria is a knight then David is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that Jacob is a knave if and only if Evelyn is a knight.", "Evelyn cannot be a knight, because this would contradict the claim of their own that Victoria is a knave and Logan is a knight.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Victoria is a knave and Logan is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that If Logan is a knight then Jacob is a knight.", "David cannot be a knight, because this would contradict the claim of their own that Victoria is a knave or Logan is a knave.", "David cannot be a knave, because this would contradict the claim of Jacob that If Victoria is a knight then David is a knight.", "We have exhausted all possibilities for David, so let us go back and reconsider Logan.", "Logan cannot be a knave, because this would contradict the false claim of their own that If Logan is a knight then Jacob is a knight.", "We have exhausted all possibilities for Logan and Evelyn, so let us go back and reconsider Victoria.", "Assume Victoria is a knave. No contradiction is found in their false claim that Jacob is a knave if and only if Evelyn is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that Victoria is a knave and Logan is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that If Logan is a knight then Jacob is a knight.", "Assume David is a knight. No contradiction is found in their claim that Victoria is a knave or Logan is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 4), ('telling-truth', 1)), ('or', ('lying', 4), ('lying', 3)), ('and', ('lying', 4), ('telling-truth', 3)), ('->', ('telling-truth', 3), ('telling-truth', 0)), ('<=>', ('lying', 0), ('telling-truth', 2)))", "index": 393}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Chloe, Grace, Aiden, Emma, and Joseph. Chloe asserted: \"Aiden is a knave and Grace is a knave\". \"If Joseph is a knight then Grace is a knight,\" Grace mentioned. \"Grace is a knave,\" Aiden claimed. As Emma put it, \"Aiden is a knave\". Joseph said, \"Emma is a knight and Grace is a knight.\" So who is a knight and who is a knave?", "names": ["Chloe", "Grace", "Aiden", "Emma", "Joseph"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true, true], "solution_text": "Chloe is a knave, Grace is a knight, Aiden is a knave, Emma is a knight, and Joseph is a knight.", "solution_text_format": "(1) Chloe is a knave\n(2) Grace is a knight\n(3) Aiden is a knave\n(4) Emma is a knight\n(5) Joseph is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Chloe is a knight. No contradiction is found in their claim that Aiden is a knave and Grace is a knave.", "Aiden cannot be a knight, because this would contradict the claim of Chloe that Aiden is a knave and Grace is a knave.", "Assume Aiden is a knave. No contradiction is found in their false claim that Grace is a knave.", "Grace cannot be a knight, because this would contradict the claim of Chloe that Aiden is a knave and Grace is a knave.", "Grace cannot be a knave, because this would contradict the false claim of Aiden that Grace is a knave.", "We have exhausted all possibilities for Grace and Aiden, so let us go back and reconsider Chloe.", "Assume Chloe is a knave. No contradiction is found in their false claim that Aiden is a knave and Grace is a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that Grace is a knave.", "Grace cannot be a knight, because this would contradict the claim of Aiden that Grace is a knave.", "Assume Grace is a knave. No contradiction is found in their false claim that If Joseph is a knight then Grace is a knight.", "Joseph cannot be a knight, because this would contradict the claim of their own that Emma is a knight and Grace is a knight.", "Joseph cannot be a knave, because this would contradict the false claim of Grace that If Joseph is a knight then Grace is a knight.", "We have exhausted all possibilities for Joseph and Grace, so let us go back and reconsider Aiden.", "Assume Aiden is a knave. No contradiction is found in their false claim that Grace is a knave.", "Assume Grace is a knight. No contradiction is found in their claim that If Joseph is a knight then Grace is a knight.", "Assume Joseph 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 Aiden is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('lying', 1)), ('->', ('telling-truth', 4), ('telling-truth', 1)), ('lying', 1), ('lying', 2), ('and', ('telling-truth', 3), ('telling-truth', 1)))", "index": 394}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Charlotte, James, Olivia, Harper, and Chloe. \"James is a knight if and only if Charlotte is a knight,\" Charlotte declared. James remarked, \"Chloe is not a knave\". Olivia was heard saying, \"James is not a knight\". \"Charlotte is a knight or Harper is a knight,\" Harper declared. Chloe noted, \"Harper is not a knight\". So who is a knight and who is a knave?", "names": ["Charlotte", "James", "Olivia", "Harper", "Chloe"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false, true], "solution_text": "Charlotte is a knave, James is a knight, Olivia is a knave, Harper is a knave, and Chloe is a knight.", "solution_text_format": "(1) Charlotte is a knave\n(2) James is a knight\n(3) Olivia is a knave\n(4) Harper 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 Charlotte is a knight. No contradiction is found in their claim that James is a knight if and only if Charlotte is a knight.", "Assume James 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 Harper is not a knight.", "Harper cannot be a knight, because this would contradict the claim of Chloe that Harper is not a knight.", "Harper cannot be a knave, because this would contradict the false claim of their own that Charlotte is a knight or Harper is a knight.", "We have exhausted all possibilities for Harper, so let us go back and reconsider Chloe.", "Chloe cannot be a knave, because this would contradict the claim of James that Chloe is not a knave.", "We have exhausted all possibilities for Chloe, so let us go back and reconsider James.", "James cannot be a knave, because this would contradict the claim of Charlotte that James is a knight if and only if Charlotte is a knight.", "We have exhausted all possibilities for James, so let us go back and reconsider Charlotte.", "Assume Charlotte is a knave. No contradiction is found in their false claim that James is a knight if and only if Charlotte is a knight.", "Assume James 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 Harper is not a knight.", "Harper cannot be a knight, because this would contradict the claim of Chloe that Harper is not a knight.", "Assume Harper is a knave. No contradiction is found in their false claim that Charlotte is a knight or Harper is a knight.", "Olivia cannot be a knight, because this would contradict the claim of their own that James is not a knight.", "Assume Olivia is a knave. No contradiction is found in their false claim that James is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('telling-truth', 0)), ('not', ('lying', 4)), ('not', ('telling-truth', 1)), ('or', ('telling-truth', 0), ('telling-truth', 3)), ('not', ('telling-truth', 3)))", "index": 395}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aria, Ethan, Chloe, Olivia, and Zoey. \"Aria is a knight if and only if Olivia is a knave,\" Aria claimed. In Ethan's words: \"Chloe is a knight and Zoey is a knight\". \"Olivia is a knave and Chloe is a knight\" - Chloe. Olivia stated, \"Ethan is a knight or Aria is a knave\". \"Olivia is a knave or Chloe is a knight,\" Zoey claimed. So who is a knight and who is a knave?", "names": ["Aria", "Ethan", "Chloe", "Olivia", "Zoey"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false, true], "solution_text": "Aria is a knight, Ethan is a knave, Chloe is a knave, Olivia is a knave, and Zoey is a knight.", "solution_text_format": "(1) Aria is a knight\n(2) Ethan is a knave\n(3) Chloe is a knave\n(4) Olivia 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 Aria is a knight. No contradiction is found in their claim that Aria is a knight if and only if Olivia is a knave.", "Olivia cannot be a knight, because this would contradict the claim of Aria that Aria is a knight if and only if Olivia is a knave.", "Assume Olivia is a knave. No contradiction is found in their false claim that Ethan is a knight or Aria is a knave.", "Ethan cannot be a knight, because this would contradict the false claim of Olivia that Ethan is a knight or Aria is a knave.", "Assume Ethan is a knave. No contradiction is found in their false claim that Chloe is a knight and Zoey is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that Olivia is a knave and Chloe is a knight.", "Zoey cannot be a knight, because this would contradict the false claim of Ethan that Chloe is a knight and Zoey is a knight.", "Zoey cannot be a knave, because this would contradict the false claim of their own that Olivia is a knave or Chloe is a knight.", "We have exhausted all possibilities for Zoey, so let us go back and reconsider Chloe.", "Assume Chloe is a knave. No contradiction is found in their false claim that Olivia is a knave and Chloe is a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that Olivia is a knave or Chloe is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 0), ('lying', 3)), ('and', ('telling-truth', 2), ('telling-truth', 4)), ('and', ('lying', 3), ('telling-truth', 2)), ('or', ('telling-truth', 1), ('lying', 0)), ('or', ('lying', 3), ('telling-truth', 2)))", "index": 396}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Liam, Abigail, Charlotte, Harper, and Victoria. \"If Abigail is a knave then Harper is a knight,\" Liam mentioned. Abigail said, \"Liam is a knight if and only if Abigail is a knight.\" \"Liam is not a knight,\" Charlotte claimed. \"Abigail is a knight,\" Harper claimed. \"Charlotte is a knight or Charlotte is a knave,\" Victoria claimed. So who is a knight and who is a knave?", "names": ["Liam", "Abigail", "Charlotte", "Harper", "Victoria"], "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": "Liam is a knight, Abigail is a knight, Charlotte is a knave, Harper is a knight, and Victoria is a knight.", "solution_text_format": "(1) Liam is a knight\n(2) Abigail is a knight\n(3) Charlotte is a knave\n(4) Harper 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 Liam is a knight. No contradiction is found in their claim that If Abigail is a knave then Harper is a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that Liam is a knight if and only if Abigail is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that Abigail is a knight.", "Charlotte cannot be a knight, because this would contradict the claim of their own that Liam is not a knight.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Liam is not a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that Charlotte is a knight or Charlotte is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 1), ('telling-truth', 3)), ('<=>', ('telling-truth', 0), ('telling-truth', 1)), ('not', ('telling-truth', 0)), ('telling-truth', 1), ('or', ('telling-truth', 2), ('lying', 2)))", "index": 397}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aiden, Alexander, Charlotte, Grace, and William. Aiden commented, \"Charlotte is a knight\". In Alexander's words: \"William is not a knave\". \"William is a knight or Alexander is a knight,\" Charlotte claimed. Grace told you that Aiden is a knight and Grace is a knight. \"Alexander is a knight if and only if Grace is a knight,\" William declared. So who is a knight and who is a knave?", "names": ["Aiden", "Alexander", "Charlotte", "Grace", "William"], "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": "Aiden is a knight, Alexander is a knight, Charlotte is a knight, Grace is a knight, and William is a knight.", "solution_text_format": "(1) Aiden is a knight\n(2) Alexander is a knight\n(3) Charlotte is a knight\n(4) Grace is a knight\n(5) William is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aiden is a knight. No contradiction is found in their claim that Charlotte is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that William is a knight or Alexander is a knight.", "Assume William is a knight. No contradiction is found in their claim that Alexander is a knight if and only if Grace is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that William is not a knave.", "Assume Grace is a knight. No contradiction is found in their claim that Aiden is a knight and Grace is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 2), ('not', ('lying', 4)), ('or', ('telling-truth', 4), ('telling-truth', 1)), ('and', ('telling-truth', 0), ('telling-truth', 3)), ('<=>', ('telling-truth', 1), ('telling-truth', 3)))", "index": 398}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Isabella, Noah, Sophia, Lily, and Emma. \"Lily is a knave or Lily is a knight,\" Isabella claimed. \"Emma is a knave and Emma is a knight\" - Noah. \"Noah is not a knight,\" Sophia declared. In a statement by Lily: \"Noah is not a knave\". Emma stated, \"Lily is not a knight\". So who is a knight and who is a knave?", "names": ["Isabella", "Noah", "Sophia", "Lily", "Emma"], "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": "Isabella is a knight, Noah is a knave, Sophia is a knight, Lily is a knave, and Emma is a knight.", "solution_text_format": "(1) Isabella is a knight\n(2) Noah is a knave\n(3) Sophia is a knight\n(4) Lily is a knave\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 Isabella is a knight. No contradiction is found in their claim that Lily is a knave or Lily is a knight.", "Assume Lily is a knight. No contradiction is found in their claim that Noah is not a knave.", "Noah cannot be a knight, because this would contradict the claim of their own that Emma is a knave and Emma is a knight.", "Noah cannot be a knave, because this would contradict the claim of Lily that Noah is not a knave.", "We have exhausted all possibilities for Noah, so let us go back and reconsider Lily.", "Assume Lily is a knave. No contradiction is found in their false claim that Noah is not a knave.", "Noah cannot be a knight, because this would contradict the claim of their own that Emma is a knave and Emma is a knight.", "Assume Noah is a knave. No contradiction is found in their false claim that Emma is a knave and Emma is a knight.", "Assume Emma is a knight. No contradiction is found in their claim that Lily is not a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that Noah is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 3), ('telling-truth', 3)), ('and', ('lying', 4), ('telling-truth', 4)), ('not', ('telling-truth', 1)), ('not', ('lying', 1)), ('not', ('telling-truth', 3)))", "index": 399}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Harper, Jackson, Scarlett, Liam, and James. Harper said, \"Jackson is a knave.\" Jackson stated, \"Scarlett is a knight and Jackson is a knight\". \"Harper is a knight,\" Scarlett mentioned. Liam expressed that Jackson is a knight and Scarlett is a knight. In a statement by James: \"Harper is a knight or Jackson is a knight\". So who is a knight and who is a knave?", "names": ["Harper", "Jackson", "Scarlett", "Liam", "James"], "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": "Harper is a knight, Jackson is a knave, Scarlett is a knight, Liam is a knave, and James is a knight.", "solution_text_format": "(1) Harper is a knight\n(2) Jackson is a knave\n(3) Scarlett is a knight\n(4) Liam is a knave\n(5) James is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Harper is a knight. No contradiction is found in their claim that Jackson is a knave.", "Jackson cannot be a knight, because this would contradict the claim of Harper that Jackson is a knave.", "Assume Jackson is a knave. No contradiction is found in their false claim that Scarlett is a knight and Jackson is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that Harper is a knight.", "Liam cannot be a knight, because this would contradict the claim of their own that Jackson is a knight and Scarlett is a knight.", "Assume Liam is a knave. No contradiction is found in their false claim that Jackson is a knight and Scarlett is a knight.", "Assume James is a knight. No contradiction is found in their claim that Harper is a knight or Jackson is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('and', ('telling-truth', 2), ('telling-truth', 1)), ('telling-truth', 0), ('and', ('telling-truth', 1), ('telling-truth', 2)), ('or', ('telling-truth', 0), ('telling-truth', 1)))", "index": 400}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Mia, Evelyn, Charlotte, Emily, and Samuel. Mia said that Emily is a knight if and only if Mia is a knight. Evelyn stated, \"Charlotte is a knave\". In Charlotte's words: \"If Samuel is a knave then Emily is a knight\". \"If Evelyn is a knave then Mia is a knight\" - Emily. Samuel noted, \"Emily is a knave and Mia is a knave\". So who is a knight and who is a knave?", "names": ["Mia", "Evelyn", "Charlotte", "Emily", "Samuel"], "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, Evelyn is a knave, Charlotte is a knight, Emily is a knight, and Samuel is a knave.", "solution_text_format": "(1) Mia is a knight\n(2) Evelyn is a knave\n(3) Charlotte is a knight\n(4) Emily is a knight\n(5) Samuel is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Mia is a knight. No contradiction is found in their claim that Emily is a knight if and only if Mia is a knight.", "Assume Emily is a knight. No contradiction is found in their claim that If Evelyn is a knave then Mia is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that Charlotte is a knave.", "Charlotte cannot be a knight, because this would contradict the claim of Evelyn that Charlotte is a knave.", "Charlotte cannot be a knave, because this would contradict the false claim of their own that If Samuel is a knave then Emily is a knight.", "We have exhausted all possibilities for Charlotte, so let us go back and reconsider Evelyn.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Charlotte is a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that If Samuel is a knave then Emily is a knight.", "Samuel cannot be a knight, because this would contradict the claim of their own that Emily is a knave and Mia is a knave.", "Assume Samuel is a knave. No contradiction is found in their false claim that Emily is a knave and Mia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 3), ('telling-truth', 0)), ('lying', 2), ('->', ('lying', 4), ('telling-truth', 3)), ('->', ('lying', 1), ('telling-truth', 0)), ('and', ('lying', 3), ('lying', 0)))", "index": 401}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Ethan, Mason, Evelyn, Michael, and Abigail. Ethan said, \"If Abigail is a knave then Evelyn is a knight.\" As Mason put it, \"Mason is a knight if and only if Michael is a knight\". Evelyn told you that Michael is not a knave. In a statement by Michael: \"Abigail is a knave if and only if Mason is a knave\". Abigail stated, \"Michael is a knave and Michael is a knight\". So who is a knight and who is a knave?", "names": ["Ethan", "Mason", "Evelyn", "Michael", "Abigail"], "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": "Ethan is a knight, Mason is a knave, Evelyn is a knight, Michael is a knight, and Abigail is a knave.", "solution_text_format": "(1) Ethan is a knight\n(2) Mason is a knave\n(3) Evelyn is a knight\n(4) Michael 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 Ethan is a knight. No contradiction is found in their claim that If Abigail is a knave then Evelyn is a knight.", "Abigail cannot be a knight, because this would contradict the claim of their own that Michael is a knave and Michael is a knight.", "Assume Abigail is a knave. No contradiction is found in their false claim that Michael is a knave and Michael is a knight.", "Assume Michael is a knight. No contradiction is found in their claim that Abigail is a knave if and only if Mason is a knave.", "Mason cannot be a knight, because this would contradict the claim of Michael that Abigail is a knave if and only if Mason is a knave.", "Assume Mason is a knave. No contradiction is found in their false claim that Mason is a knight if and only if Michael is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that Michael is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 4), ('telling-truth', 2)), ('<=>', ('telling-truth', 1), ('telling-truth', 3)), ('not', ('lying', 3)), ('<=>', ('lying', 4), ('lying', 1)), ('and', ('lying', 3), ('telling-truth', 3)))", "index": 402}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Elizabeth, Ethan, Evelyn, Henry, and Sophia. Elizabeth commented, \"Henry is a knave or Sophia is a knave\". According to Ethan, \"Sophia is not a knight\". Evelyn expressed that Henry is a knave. Henry was heard saying, \"Evelyn is a knave and Ethan is a knight\". In Sophia's words: \"Ethan is a knave or Elizabeth is a knight\". So who is a knight and who is a knave?", "names": ["Elizabeth", "Ethan", "Evelyn", "Henry", "Sophia"], "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": "Elizabeth is a knight, Ethan is a knave, Evelyn is a knight, Henry is a knave, and Sophia is a knight.", "solution_text_format": "(1) Elizabeth is a knight\n(2) Ethan is a knave\n(3) Evelyn is a knight\n(4) Henry 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 Elizabeth is a knight. No contradiction is found in their claim that Henry is a knave or Sophia is a knave.", "Assume Henry is a knight. No contradiction is found in their claim that Evelyn is a knave and Ethan is a knight.", "Evelyn cannot be a knight, because this would contradict the claim of their own that Henry is a knave.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Henry is a knave.", "Assume Ethan 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 Elizabeth that Henry is a knave or Sophia is a knave.", "Sophia cannot be a knave, because this would contradict the false claim of their own that Ethan is a knave or Elizabeth is a knight.", "We have exhausted all possibilities for Sophia, so let us go back and reconsider Ethan.", "Ethan cannot be a knave, because this would contradict the claim of Henry that Evelyn is a knave and Ethan is a knight.", "We have exhausted all possibilities for Ethan and 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 and Ethan is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that Henry is a knave.", "Assume Ethan 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 Ethan that Sophia is not a knight.", "Sophia cannot be a knave, because this would contradict the false claim of their own that Ethan is a knave or Elizabeth is a knight.", "We have exhausted all possibilities for Sophia, so let us go back and reconsider Ethan.", "Assume Ethan is a knave. No contradiction is found in their false claim that Sophia is not a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that Ethan is a knave or Elizabeth is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 3), ('lying', 4)), ('not', ('telling-truth', 4)), ('lying', 3), ('and', ('lying', 2), ('telling-truth', 1)), ('or', ('lying', 1), ('telling-truth', 0)))", "index": 403}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Jacob, Olivia, Amelia, Luke, and Alexander. Jacob told you that Luke is a knight and Alexander is a knave. Olivia stated, \"If Jacob is a knight then Jacob is a knave\". \"Amelia is a knight,\" Amelia mentioned. Luke was heard saying, \"If Amelia is a knave then Olivia is a knight\". \"Luke is a knave,\" Alexander mentioned. So who is a knight and who is a knave?", "names": ["Jacob", "Olivia", "Amelia", "Luke", "Alexander"], "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": "Jacob is a knight, Olivia is a knave, Amelia is a knight, Luke is a knight, and Alexander is a knave.", "solution_text_format": "(1) Jacob is a knight\n(2) Olivia is a knave\n(3) Amelia is a knight\n(4) Luke is a knight\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 Jacob is a knight. No contradiction is found in their claim that Luke is a knight and Alexander is a knave.", "Assume Luke is a knight. No contradiction is found in their claim that If Amelia is a knave then Olivia is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that Amelia is a knight.", "Olivia cannot be a knight, because this would contradict the claim of their own that If Jacob is a knight then Jacob is a knave.", "Assume Olivia is a knave. No contradiction is found in their false claim that If Jacob is a knight then Jacob is a knave.", "Alexander cannot be a knight, because this would contradict the claim of Jacob that Luke is a knight and Alexander is a knave.", "Assume Alexander is a knave. No contradiction is found in their false claim that Luke is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 3), ('lying', 4)), ('->', ('telling-truth', 0), ('lying', 0)), ('telling-truth', 2), ('->', ('lying', 2), ('telling-truth', 1)), ('lying', 3))", "index": 404}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: William, Benjamin, Sophia, David, and Charlotte. William remarked, \"Charlotte is a knave if and only if Charlotte is a knight\". Benjamin said that William is a knight and David is a knight. Sophia said, \"Benjamin is a knave or Benjamin is a knight.\" In David's words: \"William is not a knight\". Charlotte expressed that William is a knave or Sophia is a knave. So who is a knight and who is a knave?", "names": ["William", "Benjamin", "Sophia", "David", "Charlotte"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true, true], "solution_text": "William is a knave, Benjamin is a knave, Sophia is a knight, David is a knight, and Charlotte is a knight.", "solution_text_format": "(1) William is a knave\n(2) Benjamin is a knave\n(3) Sophia is a knight\n(4) David 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": ["William cannot be a knight, because this would contradict the claim of their own that Charlotte is a knave if and only if Charlotte is a knight.", "Assume William is a knave. No contradiction is found in their false claim that Charlotte is a knave if and only if Charlotte is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that William is a knave or Sophia is a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that Benjamin is a knave or Benjamin is a knight.", "Benjamin cannot be a knight, because this would contradict the claim of their own that William is a knight and David is a knight.", "Assume Benjamin is a knave. No contradiction is found in their false claim that William is a knight and David is a knight.", "Assume David is a knight. No contradiction is found in their claim that William is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 4), ('telling-truth', 4)), ('and', ('telling-truth', 0), ('telling-truth', 3)), ('or', ('lying', 1), ('telling-truth', 1)), ('not', ('telling-truth', 0)), ('or', ('lying', 0), ('lying', 2)))", "index": 405}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aurora, David, Liam, Chloe, and Emily. Aurora remarked, \"Liam is not a knave\". In a statement by David: \"Emily is a knight\". Liam stated, \"If Liam is a knight then Chloe is a knight\". \"Chloe is a knight,\" Chloe claimed. Emily said that If David is a knave then Chloe is a knight. So who is a knight and who is a knave?", "names": ["Aurora", "David", "Liam", "Chloe", "Emily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, true], "solution_text": "Aurora is a knight, David is a knight, Liam is a knight, Chloe is a knight, and Emily is a knight.", "solution_text_format": "(1) Aurora is a knight\n(2) David is a knight\n(3) Liam is a knight\n(4) Chloe is a knight\n(5) 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 Aurora is a knight. No contradiction is found in their claim that Liam is not a knave.", "Assume Liam is a knight. No contradiction is found in their claim that If Liam is a knight then Chloe is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that Chloe is a knight.", "Assume David is a knight. No contradiction is found in their claim that Emily is a knight.", "Assume Emily is a knight. No contradiction is found in their claim that If David is a knave then Chloe is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 2)), ('telling-truth', 4), ('->', ('telling-truth', 2), ('telling-truth', 3)), ('telling-truth', 3), ('->', ('lying', 1), ('telling-truth', 3)))", "index": 406}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Sofia, Aurora, Lucas, Emma, and Penelope. As Sofia put it, \"Lucas is a knave and Penelope is a knave\". Aurora told you that Lucas is a knave or Sofia is a knight. According to Lucas, \"Penelope is not a knight\". \"Sofia is a knight if and only if Penelope is a knight,\" Emma declared. \"Sofia is a knight,\" Penelope mentioned. So who is a knight and who is a knave?", "names": ["Sofia", "Aurora", "Lucas", "Emma", "Penelope"], "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": "Sofia is a knave, Aurora is a knave, Lucas is a knight, Emma is a knight, and Penelope is a knave.", "solution_text_format": "(1) Sofia is a knave\n(2) Aurora is a knave\n(3) Lucas is a knight\n(4) Emma 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 Sofia is a knight. No contradiction is found in their claim that Lucas is a knave and Penelope is a knave.", "Lucas cannot be a knight, because this would contradict the claim of Sofia that Lucas is a knave and Penelope is a knave.", "Assume Lucas is a knave. No contradiction is found in their false claim that Penelope is not a knight.", "Penelope cannot be a knight, because this would contradict the claim of Sofia that Lucas is a knave and Penelope is a knave.", "Penelope cannot be a knave, because this would contradict the false claim of Lucas that Penelope is not a knight.", "We have exhausted all possibilities for Penelope and Lucas, so let us go back and reconsider Sofia.", "Assume Sofia is a knave. No contradiction is found in their false claim that Lucas is a knave and Penelope is a knave.", "Assume Lucas is a knight. No contradiction is found in their claim that Penelope is not a knight.", "Penelope cannot be a knight, because this would contradict the claim of Lucas that Penelope is not a knight.", "Assume Penelope is a knave. No contradiction is found in their false claim that Sofia is a knight.", "Aurora cannot be a knight, because this would contradict the claim of their own that Lucas is a knave or Sofia is a knight.", "Assume Aurora is a knave. No contradiction is found in their false claim that Lucas is a knave or Sofia is a knight.", "Assume Emma is a knight. No contradiction is found in their claim that Sofia is a knight if and only if Penelope is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('lying', 4)), ('or', ('lying', 2), ('telling-truth', 0)), ('not', ('telling-truth', 4)), ('<=>', ('telling-truth', 0), ('telling-truth', 4)), ('telling-truth', 0))", "index": 407}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Elizabeth, Amelia, Scarlett, Evelyn, and Jack. Elizabeth noted, \"Amelia is a knight and Jack is a knight\". Amelia told you that Evelyn is a knave if and only if Amelia is a knight. In Scarlett's words: \"Elizabeth is a knight if and only if Amelia is a knight\". Evelyn expressed that If Scarlett is a knight then Jack is a knave. According to Jack, \"Evelyn is a knave and Elizabeth is a knight\". So who is a knight and who is a knave?", "names": ["Elizabeth", "Amelia", "Scarlett", "Evelyn", "Jack"], "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": "Elizabeth is a knight, Amelia is a knight, Scarlett is a knight, Evelyn is a knave, and Jack is a knight.", "solution_text_format": "(1) Elizabeth is a knight\n(2) Amelia is a knight\n(3) Scarlett is a knight\n(4) Evelyn is a knave\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 Elizabeth is a knight. No contradiction is found in their claim that Amelia is a knight and Jack is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that Evelyn is a knave if and only if Amelia is a knight.", "Evelyn cannot be a knight, because this would contradict the claim of Amelia that Evelyn is a knave if and only if Amelia is a knight.", "Assume Evelyn is a knave. No contradiction is found in their false claim that If Scarlett is a knight then Jack is a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that Elizabeth is a knight if and only if Amelia is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that Evelyn is a knave and Elizabeth is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('telling-truth', 4)), ('<=>', ('lying', 3), ('telling-truth', 1)), ('<=>', ('telling-truth', 0), ('telling-truth', 1)), ('->', ('telling-truth', 2), ('lying', 4)), ('and', ('lying', 3), ('telling-truth', 0)))", "index": 408}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Owen, Aiden, Abigail, Joseph, and David. As Owen put it, \"Owen is a knight\". \"If David is a knight then David is a knave,\" Aiden claimed. In Abigail's words: \"Owen is not a knave\". Joseph said that David is not a knave. David said that Joseph is a knave and Abigail is a knave. So who is a knight and who is a knave?", "names": ["Owen", "Aiden", "Abigail", "Joseph", "David"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false, false], "solution_text": "Owen is a knight, Aiden is a knight, Abigail is a knight, Joseph is a knave, and David is a knave.", "solution_text_format": "(1) Owen is a knight\n(2) Aiden is a knight\n(3) Abigail is a knight\n(4) Joseph 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 Owen is a knight. No contradiction is found in their claim that Owen is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that If David is a knight then David is a knave.", "David cannot be a knight, because this would contradict the claim of Aiden that If David is a knight then David is a knave.", "Assume David is a knave. No contradiction is found in their false claim that Joseph is a knave and Abigail is a knave.", "Joseph cannot be a knight, because this would contradict the claim of their own that David is not a knave.", "Assume Joseph is a knave. No contradiction is found in their false claim that David is not a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that Owen is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 0), ('->', ('telling-truth', 4), ('lying', 4)), ('not', ('lying', 0)), ('not', ('lying', 4)), ('and', ('lying', 3), ('lying', 2)))", "index": 409}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Charlotte, Liam, Riley, Samuel, and Grace. \"If Charlotte is a knight then Liam is a knave,\" Charlotte declared. Liam stated, \"Samuel is a knave or Liam is a knight\". Riley remarked, \"Charlotte is a knight\". Samuel expressed that If Grace is a knave then Samuel is a knight. \"Samuel is a knight,\" Grace declared. So who is a knight and who is a knave?", "names": ["Charlotte", "Liam", "Riley", "Samuel", "Grace"], "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": "Charlotte is a knight, Liam is a knave, Riley is a knight, Samuel is a knight, and Grace is a knight.", "solution_text_format": "(1) Charlotte is a knight\n(2) Liam is a knave\n(3) Riley is a knight\n(4) Samuel 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 Charlotte is a knight. No contradiction is found in their claim that If Charlotte is a knight then Liam is a knave.", "Liam cannot be a knight, because this would contradict the claim of Charlotte that If Charlotte is a knight then Liam is a knave.", "Assume Liam is a knave. No contradiction is found in their false claim that Samuel is a knave or Liam is a knight.", "Assume Samuel is a knight. No contradiction is found in their claim that If Grace is a knave then Samuel is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that Samuel is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that Charlotte is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 0), ('lying', 1)), ('or', ('lying', 3), ('telling-truth', 1)), ('telling-truth', 0), ('->', ('lying', 4), ('telling-truth', 3)), ('telling-truth', 3))", "index": 410}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Daniel, Jacob, Alexander, Mason, and Sebastian. \"Sebastian is a knave or Jacob is a knight,\" Daniel declared. Jacob said that Alexander is a knight or Sebastian is a knight. In a statement by Alexander: \"Alexander is a knight or Mason is a knight\". Mason asserted: \"Alexander is not a knight\". Sebastian told you that Daniel is a knave. So who is a knight and who is a knave?", "names": ["Daniel", "Jacob", "Alexander", "Mason", "Sebastian"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false, false], "solution_text": "Daniel is a knight, Jacob is a knight, Alexander is a knight, Mason is a knave, and Sebastian is a knave.", "solution_text_format": "(1) Daniel is a knight\n(2) Jacob is a knight\n(3) Alexander is a knight\n(4) Mason is a knave\n(5) Sebastian is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Daniel is a knight. No contradiction is found in their claim that Sebastian is a knave or Jacob is a knight.", "Sebastian cannot be a knight, because this would contradict the claim of their own that Daniel is a knave.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Daniel is a knave.", "Assume Jacob is a knight. No contradiction is found in their claim that Alexander is a knight or Sebastian is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that Alexander is a knight or Mason is a knight.", "Mason cannot be a knight, because this would contradict the claim of their own that Alexander is not a knight.", "Assume Mason is a knave. No contradiction is found in their false claim that Alexander is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 4), ('telling-truth', 1)), ('or', ('telling-truth', 2), ('telling-truth', 4)), ('or', ('telling-truth', 2), ('telling-truth', 3)), ('not', ('telling-truth', 2)), ('lying', 0))", "index": 411}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Jackson, Chloe, Alexander, Victoria, and Penelope. Jackson said that Chloe is a knight or Alexander is a knave. \"If Jackson is a knight then Alexander is a knight,\" Chloe mentioned. Alexander noted, \"Jackson is a knave and Victoria is a knave\". Victoria commented, \"Chloe is a knave or Alexander is a knight\". Penelope said, \"Jackson is a knight.\" So who is a knight and who is a knave?", "names": ["Jackson", "Chloe", "Alexander", "Victoria", "Penelope"], "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": "Jackson is a knight, Chloe is a knave, Alexander is a knave, Victoria is a knight, and Penelope is a knight.", "solution_text_format": "(1) Jackson is a knight\n(2) Chloe is a knave\n(3) Alexander is a knave\n(4) Victoria is a knight\n(5) Penelope is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jackson is a knight. No contradiction is found in their claim that Chloe is a knight or Alexander is a knave.", "Assume Chloe is a knight. No contradiction is found in their claim that If Jackson is a knight then Alexander is a knight.", "Alexander cannot be a knight, because this would contradict the claim of their own that Jackson is a knave and Victoria is a knave.", "Alexander cannot be a knave, because this would contradict the claim of Chloe that If Jackson is a knight then Alexander is a knight.", "We have exhausted all possibilities for Alexander, so let us go back and reconsider Chloe.", "Assume Chloe is a knave. No contradiction is found in their false claim that If Jackson is a knight then Alexander is a knight.", "Alexander cannot be a knight, because this would contradict the claim of Jackson that Chloe is a knight or Alexander is a knave.", "Assume Alexander is a knave. No contradiction is found in their false claim that Jackson is a knave and Victoria is a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that Chloe is a knave or Alexander is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that Jackson is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 1), ('lying', 2)), ('->', ('telling-truth', 0), ('telling-truth', 2)), ('and', ('lying', 0), ('lying', 3)), ('or', ('lying', 1), ('telling-truth', 2)), ('telling-truth', 0))", "index": 412}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Daniel, Evelyn, David, William, and Samuel. Daniel said that Evelyn is a knave. In Evelyn's words: \"David is a knave\". David asserted: \"Evelyn is a knight or David is a knight\". William said, \"Samuel is a knave and Daniel is a knave.\" Samuel told you that If David is a knight then Daniel is a knave. So who is a knight and who is a knave?", "names": ["Daniel", "Evelyn", "David", "William", "Samuel"], "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": "Daniel is a knight, Evelyn is a knave, David is a knight, William is a knave, and Samuel is a knave.", "solution_text_format": "(1) Daniel is a knight\n(2) Evelyn is a knave\n(3) David is a knight\n(4) William is a knave\n(5) Samuel is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Daniel is a knight. No contradiction is found in their claim that Evelyn is a knave.", "Evelyn cannot be a knight, because this would contradict the claim of Daniel that Evelyn is a knave.", "Assume Evelyn 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 Evelyn is a knight or David is a knight.", "William cannot be a knight, because this would contradict the claim of their own that Samuel is a knave and Daniel is a knave.", "Assume William is a knave. No contradiction is found in their false claim that Samuel is a knave and Daniel is a knave.", "Samuel cannot be a knight, because this would contradict the claim of their own that If David is a knight then Daniel is a knave.", "Assume Samuel is a knave. No contradiction is found in their false claim that If David is a knight then Daniel is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('lying', 2), ('or', ('telling-truth', 1), ('telling-truth', 2)), ('and', ('lying', 4), ('lying', 0)), ('->', ('telling-truth', 2), ('lying', 0)))", "index": 413}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Oliver, Ava, Logan, Harper, and Liam. According to Oliver, \"Liam is a knave or Ava is a knave\". Ava expressed that Harper is a knave and Logan is a knave. Logan noted, \"Logan is a knight if and only if Ava is a knave\". \"Ava is a knave and Logan is a knight,\" Harper claimed. \"Logan is a knave and Ava is a knave,\" Liam declared. So who is a knight and who is a knave?", "names": ["Oliver", "Ava", "Logan", "Harper", "Liam"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, false], "solution_text": "Oliver is a knight, Ava is a knave, Logan is a knight, Harper is a knight, and Liam is a knave.", "solution_text_format": "(1) Oliver is a knight\n(2) Ava is a knave\n(3) Logan is a knight\n(4) Harper 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 Oliver is a knight. No contradiction is found in their claim that Liam is a knave or Ava is a knave.", "Assume Liam is a knight. No contradiction is found in their claim that Logan is a knave and Ava is a knave.", "Logan cannot be a knight, because this would contradict the claim of Liam that Logan is a knave and Ava is a knave.", "Assume Logan is a knave. No contradiction is found in their false claim that Logan is a knight if and only if Ava is a knave.", "Ava cannot be a knight, because this would contradict the claim of Oliver that Liam is a knave or Ava is a knave.", "Assume Ava is a knave. No contradiction is found in their false claim that Harper is a knave and Logan is a knave.", "Harper cannot be a knight, because this would contradict the claim of their own that Ava is a knave and Logan is a knight.", "Harper cannot be a knave, because this would contradict the false claim of Ava that Harper is a knave and Logan is a knave.", "We have exhausted all possibilities for Harper, Ava, and Logan, so let us go back and reconsider Liam.", "Assume Liam is a knave. No contradiction is found in their false claim that Logan is a knave and Ava is a knave.", "Assume Logan is a knight. No contradiction is found in their claim that Logan is a knight if and only if Ava is a knave.", "Ava cannot be a knight, because this would contradict the claim of their own that Harper is a knave and Logan is a knave.", "Assume Ava is a knave. No contradiction is found in their false claim that Harper is a knave and Logan is a knave.", "Assume Harper is a knight. No contradiction is found in their claim that Ava is a knave and Logan is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 4), ('lying', 1)), ('and', ('lying', 3), ('lying', 2)), ('<=>', ('telling-truth', 2), ('lying', 1)), ('and', ('lying', 1), ('telling-truth', 2)), ('and', ('lying', 2), ('lying', 1)))", "index": 414}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Jackson, Logan, Sebastian, Abigail, and Victoria. \"Victoria is a knight if and only if Sebastian is a knight,\" Jackson claimed. According to Logan, \"Sebastian is a knave if and only if Jackson is a knave\". Sebastian commented, \"Abigail is a knight or Jackson is a knave\". Abigail was heard saying, \"Victoria is a knave\". \"Victoria is a knight and Jackson is a knight,\" Victoria mentioned. So who is a knight and who is a knave?", "names": ["Jackson", "Logan", "Sebastian", "Abigail", "Victoria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true, false], "solution_text": "Jackson is a knave, Logan is a knave, Sebastian is a knight, Abigail is a knight, and Victoria is a knave.", "solution_text_format": "(1) Jackson is a knave\n(2) Logan is a knave\n(3) Sebastian is a knight\n(4) Abigail is a knight\n(5) Victoria is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jackson is a knight. No contradiction is found in their claim that Victoria is a knight if and only if Sebastian is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that Victoria is a knight and Jackson is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Abigail is a knight or Jackson is a knave.", "Abigail cannot be a knight, because this would contradict the claim of their own that Victoria is a knave.", "Abigail cannot be a knave, because this would contradict the claim of Sebastian that Abigail is a knight or Jackson is a knave.", "We have exhausted all possibilities for Abigail, so let us go back and reconsider Sebastian.", "Sebastian cannot be a knave, because this would contradict the claim of Jackson that Victoria is a knight if and only if Sebastian is a knight.", "We have exhausted all possibilities for Sebastian, so let us go back and reconsider Victoria.", "Assume Victoria is a knave. No contradiction is found in their false claim that Victoria is a knight and Jackson is a knight.", "Sebastian cannot be a knight, because this would contradict the claim of Jackson that Victoria is a knight if and only if Sebastian is a knight.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Abigail is a knight or Jackson is a knave.", "Abigail cannot be a knight, because this would contradict the false claim of Sebastian that Abigail is a knight or Jackson is a knave.", "Abigail cannot be a knave, because this would contradict the false claim of their own that Victoria is a knave.", "We have exhausted all possibilities for Abigail, Sebastian, and Victoria, so let us go back and reconsider Jackson.", "Assume Jackson is a knave. No contradiction is found in their false claim that Victoria is a knight if and only if Sebastian is a knight.", "Victoria cannot be a knight, because this would contradict the claim of their own that Victoria is a knight and Jackson is a knight.", "Assume Victoria is a knave. No contradiction is found in their false claim that Victoria is a knight and Jackson is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Abigail is a knight or Jackson is a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that Victoria is a knave.", "Logan cannot be a knight, because this would contradict the claim of their own that Sebastian is a knave if and only if Jackson is a knave.", "Assume Logan is a knave. No contradiction is found in their false claim that Sebastian is a knave if and only if Jackson is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 4), ('telling-truth', 2)), ('<=>', ('lying', 2), ('lying', 0)), ('or', ('telling-truth', 3), ('lying', 0)), ('lying', 4), ('and', ('telling-truth', 4), ('telling-truth', 0)))", "index": 415}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Lucas, Charlotte, Elizabeth, Aiden, and Ava. According to Lucas, \"Aiden is a knight\". In Charlotte's words: \"Elizabeth is a knight if and only if Ava is a knave\". Elizabeth asserted: \"Aiden is a knave if and only if Ava is a knave\". Aiden remarked, \"Elizabeth is a knight or Charlotte is a knight\". Ava said, \"Aiden is not a knave.\" So who is a knight and who is a knave?", "names": ["Lucas", "Charlotte", "Elizabeth", "Aiden", "Ava"], "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": "Lucas is a knight, Charlotte is a knave, Elizabeth is a knight, Aiden is a knight, and Ava is a knight.", "solution_text_format": "(1) Lucas is a knight\n(2) Charlotte is a knave\n(3) Elizabeth is a knight\n(4) Aiden 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 Lucas is a knight. No contradiction is found in their claim that Aiden is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that Elizabeth is a knight or Charlotte is a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Aiden is a knave if and only if Ava is a knave.", "Assume Ava is a knight. No contradiction is found in their claim that Aiden is not a knave.", "Charlotte cannot be a knight, because this would contradict the claim of their own that Elizabeth is a knight if and only if Ava is a knave.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Elizabeth is a knight if and only if Ava is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 3), ('<=>', ('telling-truth', 2), ('lying', 4)), ('<=>', ('lying', 3), ('lying', 4)), ('or', ('telling-truth', 2), ('telling-truth', 1)), ('not', ('lying', 3)))", "index": 416}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Mason, Mia, Riley, Liam, and Michael. \"If Liam is a knight then Riley is a knave\" - Mason. Mia expressed that If Mason is a knight then Liam is a knight. As Riley put it, \"Mia is a knave\". \"Mason is a knight or Michael is a knave\" - Liam. Michael expressed that Riley is a knave if and only if Liam is a knave. So who is a knight and who is a knave?", "names": ["Mason", "Mia", "Riley", "Liam", "Michael"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true, false], "solution_text": "Mason is a knight, Mia is a knight, Riley is a knave, Liam is a knight, and Michael is a knave.", "solution_text_format": "(1) Mason is a knight\n(2) Mia is a knight\n(3) Riley is a knave\n(4) Liam is a knight\n(5) Michael is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Mason is a knight. No contradiction is found in their claim that If Liam is a knight then Riley is a knave.", "Assume Liam is a knight. No contradiction is found in their claim that Mason is a knight or Michael is a knave.", "Assume Michael is a knight. No contradiction is found in their claim that Riley is a knave if and only if Liam is a knave.", "Riley cannot be a knight, because this would contradict the claim of Mason that If Liam is a knight then Riley is a knave.", "Riley cannot be a knave, because this would contradict the claim of Michael that Riley is a knave if and only if Liam is a knave.", "We have exhausted all possibilities for Riley, so let us go back and reconsider Michael.", "Assume Michael is a knave. No contradiction is found in their false claim that Riley is a knave if and only if Liam is a knave.", "Riley cannot be a knight, because this would contradict the claim of Mason that If Liam is a knight then Riley is a knave.", "Assume Riley is a knave. No contradiction is found in their false claim that Mia is a knave.", "Assume Mia is a knight. No contradiction is found in their claim that If Mason is a knight then Liam is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 3), ('lying', 2)), ('->', ('telling-truth', 0), ('telling-truth', 3)), ('lying', 1), ('or', ('telling-truth', 0), ('lying', 4)), ('<=>', ('lying', 2), ('lying', 3)))", "index": 417}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aiden, Abigail, Emma, Emily, and Ethan. \"Aiden is a knight and Emma is a knave\" - Aiden. Abigail stated, \"Emma is a knave if and only if Emily is a knave\". \"Emily is a knight or Ethan is a knave,\" Emma claimed. \"Abigail is a knight or Aiden is a knave,\" Emily declared. \"Aiden is a knight or Abigail is a knight\" - Ethan. So who is a knight and who is a knave?", "names": ["Aiden", "Abigail", "Emma", "Emily", "Ethan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, true], "solution_text": "Aiden is a knave, Abigail is a knight, Emma is a knight, Emily is a knight, and Ethan is a knight.", "solution_text_format": "(1) Aiden is a knave\n(2) Abigail is a knight\n(3) Emma is a knight\n(4) Emily is a knight\n(5) 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 Aiden is a knight. No contradiction is found in their claim that Aiden is a knight and Emma is a knave.", "Emma cannot be a knight, because this would contradict the claim of Aiden that Aiden is a knight and Emma is a knave.", "Assume Emma is a knave. No contradiction is found in their false claim that Emily is a knight or Ethan is a knave.", "Emily cannot be a knight, because this would contradict the false claim of Emma that Emily is a knight or Ethan is a knave.", "Assume Emily is a knave. No contradiction is found in their false claim that Abigail is a knight or Aiden is a knave.", "Abigail cannot be a knight, because this would contradict the false claim of Emily that Abigail is a knight or Aiden is a knave.", "Abigail cannot be a knave, because this would contradict the false claim of their own that Emma is a knave if and only if Emily is a knave.", "We have exhausted all possibilities for Abigail, Emily, and Emma, so let us go back and reconsider Aiden.", "Assume Aiden is a knave. No contradiction is found in their false claim that Aiden is a knight and Emma is a knave.", "Assume Emma is a knight. No contradiction is found in their claim that Emily is a knight or Ethan is a knave.", "Assume Emily is a knight. No contradiction is found in their claim that Abigail is a knight or Aiden is a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that Emma is a knave if and only if Emily is a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that Aiden is a knight or Abigail is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 0), ('lying', 2)), ('<=>', ('lying', 2), ('lying', 3)), ('or', ('telling-truth', 3), ('lying', 4)), ('or', ('telling-truth', 1), ('lying', 0)), ('or', ('telling-truth', 0), ('telling-truth', 1)))", "index": 418}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Charlotte, Zoey, Alexander, Elizabeth, and Emily. Charlotte commented, \"Elizabeth is a knave or Emily is a knave\". Zoey noted, \"If Charlotte is a knight then Elizabeth is a knave\". Alexander was heard saying, \"Charlotte is a knight or Zoey is a knight\". According to Elizabeth, \"Emily is not a knave\". \"Alexander is a knight if and only if Alexander is a knave,\" Emily declared. So who is a knight and who is a knave?", "names": ["Charlotte", "Zoey", "Alexander", "Elizabeth", "Emily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false, false], "solution_text": "Charlotte is a knight, Zoey is a knight, Alexander is a knight, Elizabeth is a knave, and Emily is a knave.", "solution_text_format": "(1) Charlotte is a knight\n(2) Zoey is a knight\n(3) Alexander is a knight\n(4) Elizabeth is a knave\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 Charlotte is a knight. No contradiction is found in their claim that Elizabeth is a knave or Emily is a knave.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Emily is not a knave.", "Emily cannot be a knight, because this would contradict the claim of Charlotte that Elizabeth is a knave or Emily is a knave.", "Emily cannot be a knave, because this would contradict the claim of Elizabeth that Emily is not a knave.", "We have exhausted all possibilities for Emily, so let us go back and reconsider Elizabeth.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Emily is not a knave.", "Emily cannot be a knight, because this would contradict the false claim of Elizabeth that Emily is not a knave.", "Assume Emily 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 Charlotte is a knight or Zoey is a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that If Charlotte is a knight then Elizabeth is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 3), ('lying', 4)), ('->', ('telling-truth', 0), ('lying', 3)), ('or', ('telling-truth', 0), ('telling-truth', 1)), ('not', ('lying', 4)), ('<=>', ('telling-truth', 2), ('lying', 2)))", "index": 419}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: William, Olivia, Owen, Ava, and Harper. William asserted: \"Olivia is a knight and Harper is a knave\". Olivia said, \"Olivia is a knight or William is a knave.\" Owen was heard saying, \"Ava is a knight or Harper is a knight\". Ava noted, \"Ava is a knight and Olivia is a knight\". Harper expressed that If Harper is a knight then Ava is a knave. So who is a knight and who is a knave?", "names": ["William", "Olivia", "Owen", "Ava", "Harper"], "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": "William is a knave, Olivia is a knight, Owen is a knight, Ava is a knave, and Harper is a knight.", "solution_text_format": "(1) William is a knave\n(2) Olivia is a knight\n(3) Owen is a knight\n(4) Ava is a knave\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 William is a knight. No contradiction is found in their claim that Olivia is a knight and Harper is a knave.", "Assume Olivia is a knight. No contradiction is found in their claim that Olivia is a knight or William is a knave.", "Harper cannot be a knight, because this would contradict the claim of William that Olivia is a knight and Harper is a knave.", "Harper cannot be a knave, because this would contradict the false claim of their own that If Harper is a knight then Ava is a knave.", "We have exhausted all possibilities for Harper, so let us go back and reconsider Olivia.", "Olivia cannot be a knave, because this would contradict the claim of William that Olivia is a knight and Harper is a knave.", "We have exhausted all possibilities for Olivia, so let us go back and reconsider William.", "Assume William is a knave. No contradiction is found in their false claim that Olivia is a knight and Harper is a knave.", "Assume Olivia is a knight. No contradiction is found in their claim that Olivia is a knight or William is a knave.", "Assume Harper is a knight. No contradiction is found in their claim that If Harper is a knight then Ava is a knave.", "Ava cannot be a knight, because this would contradict the claim of Harper that If Harper is a knight then Ava is a knave.", "Assume Ava is a knave. No contradiction is found in their false claim that Ava is a knight and Olivia is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that Ava is a knight or Harper is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('lying', 4)), ('or', ('telling-truth', 1), ('lying', 0)), ('or', ('telling-truth', 3), ('telling-truth', 4)), ('and', ('telling-truth', 3), ('telling-truth', 1)), ('->', ('telling-truth', 4), ('lying', 3)))", "index": 420}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Charlotte, Scarlett, Aurora, Emma, and Matthew. Charlotte said that Scarlett is a knight if and only if Matthew is a knight. According to Scarlett, \"If Matthew is a knave then Charlotte is a knave\". Aurora was heard saying, \"If Aurora is a knight then Emma is a knave\". \"Matthew is a knave if and only if Aurora is a knight,\" Emma mentioned. Matthew was heard saying, \"Scarlett is a knight and Aurora is a knight\". So who is a knight and who is a knave?", "names": ["Charlotte", "Scarlett", "Aurora", "Emma", "Matthew"], "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": "Charlotte is a knight, Scarlett is a knight, Aurora is a knight, Emma is a knave, and Matthew is a knight.", "solution_text_format": "(1) Charlotte is a knight\n(2) Scarlett is a knight\n(3) Aurora is a knight\n(4) Emma is a knave\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 Charlotte is a knight. No contradiction is found in their claim that Scarlett is a knight if and only if Matthew is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that If Matthew is a knave then Charlotte is a knave.", "Assume Matthew is a knight. No contradiction is found in their claim that Scarlett is a knight and Aurora is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that If Aurora is a knight then Emma is a knave.", "Emma cannot be a knight, because this would contradict the claim of Aurora that If Aurora is a knight then Emma is a knave.", "Assume Emma is a knave. No contradiction is found in their false claim that Matthew is a knave if and only if Aurora is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('telling-truth', 4)), ('->', ('lying', 4), ('lying', 0)), ('->', ('telling-truth', 2), ('lying', 3)), ('<=>', ('lying', 4), ('telling-truth', 2)), ('and', ('telling-truth', 1), ('telling-truth', 2)))", "index": 421}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Riley, Ella, Matthew, Jacob, and Lily. In Riley's words: \"If Ella is a knave then Ella is a knight\". Ella asserted: \"Jacob is a knight and Ella is a knight\". As Matthew put it, \"Lily is not a knight\". Jacob remarked, \"Matthew is not a knave\". Lily asserted: \"Riley is a knave if and only if Matthew is a knight\". So who is a knight and who is a knave?", "names": ["Riley", "Ella", "Matthew", "Jacob", "Lily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, false], "solution_text": "Riley is a knight, Ella is a knight, Matthew is a knight, Jacob is a knight, and Lily is a knave.", "solution_text_format": "(1) Riley is a knight\n(2) Ella is a knight\n(3) Matthew is a knight\n(4) Jacob 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 Riley is a knight. No contradiction is found in their claim that If Ella is a knave then Ella is a knight.", "Assume Ella is a knight. No contradiction is found in their claim that Jacob is a knight and Ella is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that Matthew is not a knave.", "Assume Matthew is a knight. No contradiction is found in their claim that Lily is not a knight.", "Lily cannot be a knight, because this would contradict the claim of Matthew that Lily is not a knight.", "Assume Lily is a knave. No contradiction is found in their false claim that Riley is a knave if and only if Matthew is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 1), ('telling-truth', 1)), ('and', ('telling-truth', 3), ('telling-truth', 1)), ('not', ('telling-truth', 4)), ('not', ('lying', 2)), ('<=>', ('lying', 0), ('telling-truth', 2)))", "index": 422}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Jacob, Avery, Logan, Noah, and Aria. Jacob noted, \"Aria is a knight if and only if Aria is a knave\". Avery stated, \"Noah is a knight or Jacob is a knight\". Logan asserted: \"If Avery is a knave then Jacob is a knave\". Noah stated, \"Logan is a knave and Noah is a knight\". Aria said that Noah is a knight or Jacob is a knave. So who is a knight and who is a knave?", "names": ["Jacob", "Avery", "Logan", "Noah", "Aria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false, true], "solution_text": "Jacob is a knave, Avery is a knave, Logan is a knight, Noah is a knave, and Aria is a knight.", "solution_text_format": "(1) Jacob is a knave\n(2) Avery is a knave\n(3) Logan is a knight\n(4) Noah is a knave\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": ["Jacob cannot be a knight, because this would contradict the claim of their own that Aria is a knight if and only if Aria is a knave.", "Assume Jacob is a knave. No contradiction is found in their false claim that Aria is a knight if and only if Aria is a knave.", "Assume Aria is a knight. No contradiction is found in their claim that Noah is a knight or Jacob is a knave.", "Assume Noah is a knight. No contradiction is found in their claim that Logan is a knave and Noah is a knight.", "Logan cannot be a knight, because this would contradict the claim of Noah that Logan is a knave and Noah is a knight.", "Logan cannot be a knave, because this would contradict the false claim of their own that If Avery is a knave then Jacob is a knave.", "We have exhausted all possibilities for Logan, so let us go back and reconsider Noah.", "Assume Noah is a knave. No contradiction is found in their false claim that Logan is a knave and Noah is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that If Avery is a knave then Jacob is a knave.", "Avery cannot be a knight, because this would contradict the claim of their own that Noah is a knight or Jacob is a knight.", "Assume Avery is a knave. No contradiction is found in their false claim that Noah is a knight or Jacob is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 4), ('lying', 4)), ('or', ('telling-truth', 3), ('telling-truth', 0)), ('->', ('lying', 1), ('lying', 0)), ('and', ('lying', 2), ('telling-truth', 3)), ('or', ('telling-truth', 3), ('lying', 0)))", "index": 423}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Alexander, Aurora, Joseph, Zoey, and Charlotte. Alexander stated, \"Joseph is a knave and Zoey is a knight\". \"Alexander is a knave\" - Aurora. Joseph was heard saying, \"Aurora is a knight or Alexander is a knight\". Zoey expressed that Alexander is a knight. \"If Alexander is a knave then Zoey is a knave,\" Charlotte claimed. So who is a knight and who is a knave?", "names": ["Alexander", "Aurora", "Joseph", "Zoey", "Charlotte"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false, true], "solution_text": "Alexander is a knave, Aurora is a knight, Joseph is a knight, Zoey is a knave, and Charlotte is a knight.", "solution_text_format": "(1) Alexander is a knave\n(2) Aurora is a knight\n(3) Joseph is a knight\n(4) Zoey 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 Alexander is a knight. No contradiction is found in their claim that Joseph is a knave and Zoey is a knight.", "Joseph cannot be a knight, because this would contradict the claim of Alexander that Joseph is a knave and Zoey is a knight.", "Joseph cannot be a knave, because this would contradict the false claim of their own that Aurora is a knight or Alexander is a knight.", "We have exhausted all possibilities for Joseph, so let us go back and reconsider Alexander.", "Assume Alexander is a knave. No contradiction is found in their false claim that Joseph is a knave and Zoey is a knight.", "Assume Joseph 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 Alexander is a knave.", "Zoey cannot be a knight, because this would contradict the claim of their own that Alexander is a knight.", "Assume Zoey is a knave. No contradiction is found in their false claim that Alexander is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that If Alexander is a knave then Zoey is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('telling-truth', 3)), ('lying', 0), ('or', ('telling-truth', 1), ('telling-truth', 0)), ('telling-truth', 0), ('->', ('lying', 0), ('lying', 3)))", "index": 424}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Harper, Chloe, Logan, Victoria, and Alexander. Harper noted, \"Alexander is a knave and Chloe is a knave\". Chloe noted, \"If Harper is a knave then Logan is a knight\". Logan remarked, \"If Chloe is a knight then Harper is a knave\". Victoria noted, \"Harper is a knave\". As Alexander put it, \"If Victoria is a knight then Victoria is a knave\". So who is a knight and who is a knave?", "names": ["Harper", "Chloe", "Logan", "Victoria", "Alexander"], "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": "Harper is a knave, Chloe is a knight, Logan is a knight, Victoria is a knight, and Alexander is a knave.", "solution_text_format": "(1) Harper is a knave\n(2) Chloe is a knight\n(3) Logan is a knight\n(4) Victoria is a knight\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 Harper is a knight. No contradiction is found in their claim that Alexander is a knave and Chloe is a knave.", "Alexander cannot be a knight, because this would contradict the claim of Harper that Alexander is a knave and Chloe is a knave.", "Assume Alexander is a knave. No contradiction is found in their false claim that If Victoria is a knight then Victoria is a knave.", "Victoria cannot be a knight, because this would contradict the claim of their own that Harper is a knave.", "Victoria cannot be a knave, because this would contradict the false claim of Alexander that If Victoria is a knight then Victoria is a knave.", "We have exhausted all possibilities for Victoria and Alexander, so let us go back and reconsider Harper.", "Assume Harper is a knave. No contradiction is found in their false claim that Alexander is a knave and Chloe is a knave.", "Assume Alexander is a knight. No contradiction is found in their claim that If Victoria is a knight then Victoria is a knave.", "Victoria cannot be a knight, because this would contradict the claim of Alexander that If Victoria is a knight then Victoria is a knave.", "Victoria cannot be a knave, because this would contradict the false claim of their own that Harper is a knave.", "We have exhausted all possibilities for Victoria, so let us go back and reconsider Alexander.", "Assume Alexander is a knave. No contradiction is found in their false claim that If Victoria is a knight then Victoria is a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that Harper is a knave.", "Assume Chloe is a knight. No contradiction is found in their claim that If Harper is a knave then Logan is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that If Chloe is a knight then Harper is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 4), ('lying', 1)), ('->', ('lying', 0), ('telling-truth', 2)), ('->', ('telling-truth', 1), ('lying', 0)), ('lying', 0), ('->', ('telling-truth', 3), ('lying', 3)))", "index": 425}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Abigail, Evelyn, Victoria, Zoey, and Sebastian. In Abigail's words: \"Sebastian is a knave or Victoria is a knight\". Evelyn remarked, \"If Victoria is a knight then Sebastian is a knave\". Victoria was heard saying, \"Sebastian is a knave\". \"Sebastian is a knight\" - Zoey. As Sebastian put it, \"Abigail is a knight or Abigail is a knave\". So who is a knight and who is a knave?", "names": ["Abigail", "Evelyn", "Victoria", "Zoey", "Sebastian"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true, true], "solution_text": "Abigail is a knave, Evelyn is a knight, Victoria is a knave, Zoey is a knight, and Sebastian is a knight.", "solution_text_format": "(1) Abigail is a knave\n(2) Evelyn is a knight\n(3) Victoria is a knave\n(4) Zoey is a knight\n(5) Sebastian is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Abigail is a knight. No contradiction is found in their claim that Sebastian is a knave or Victoria is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Abigail is a knight or Abigail is a knave.", "Victoria cannot be a knight, because this would contradict the claim of their own that Sebastian is a knave.", "Victoria cannot be a knave, because this would contradict the claim of Abigail that Sebastian is a knave or Victoria is a knight.", "We have exhausted all possibilities for Victoria, so let us go back and reconsider Sebastian.", "Sebastian cannot be a knave, because this would contradict the false claim of their own that Abigail is a knight or Abigail is a knave.", "We have exhausted all possibilities for Sebastian, so let us go back and reconsider Abigail.", "Assume Abigail is a knave. No contradiction is found in their false claim that Sebastian is a knave or Victoria is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Abigail is a knight or Abigail is a knave.", "Victoria cannot be a knight, because this would contradict the false claim of Abigail that Sebastian is a knave or Victoria is a knight.", "Assume Victoria is a knave. No contradiction is found in their false claim that Sebastian is a knave.", "Assume Evelyn is a knight. No contradiction is found in their claim that If Victoria is a knight then Sebastian is a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that Sebastian is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 4), ('telling-truth', 2)), ('->', ('telling-truth', 2), ('lying', 4)), ('lying', 4), ('telling-truth', 4), ('or', ('telling-truth', 0), ('lying', 0)))", "index": 426}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Harper, Jackson, Liam, Scarlett, and Amelia. Harper told you that Amelia is a knave and Scarlett is a knave. As Jackson put it, \"Liam is not a knave\". \"Amelia is not a knight,\" Liam declared. \"Liam is a knight and Harper is a knight,\" Scarlett mentioned. \"If Scarlett is a knight then Harper is a knight,\" Amelia declared. So who is a knight and who is a knave?", "names": ["Harper", "Jackson", "Liam", "Scarlett", "Amelia"], "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": "Harper is a knave, Jackson is a knave, Liam is a knave, Scarlett is a knave, and Amelia is a knight.", "solution_text_format": "(1) Harper is a knave\n(2) Jackson is a knave\n(3) Liam is a knave\n(4) Scarlett is a knave\n(5) Amelia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Harper is a knight. No contradiction is found in their claim that Amelia is a knave and Scarlett is a knave.", "Amelia cannot be a knight, because this would contradict the claim of Harper that Amelia is a knave and Scarlett is a knave.", "Amelia cannot be a knave, because this would contradict the false claim of their own that If Scarlett is a knight then Harper is a knight.", "We have exhausted all possibilities for Amelia, so let us go back and reconsider Harper.", "Assume Harper is a knave. No contradiction is found in their false claim that Amelia is a knave and Scarlett is a knave.", "Assume Amelia is a knight. No contradiction is found in their claim that If Scarlett is a knight then Harper is a knight.", "Scarlett cannot be a knight, because this would contradict the claim of their own that Liam is a knight and Harper is a knight.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Liam is a knight and Harper is a knight.", "Liam cannot be a knight, because this would contradict the claim of their own that Amelia is not a knight.", "Assume Liam is a knave. No contradiction is found in their false claim that Amelia is not a knight.", "Jackson cannot be a knight, because this would contradict the claim of their own that Liam is not a knave.", "Assume Jackson is a knave. No contradiction is found in their false claim that Liam is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 4), ('lying', 3)), ('not', ('lying', 2)), ('not', ('telling-truth', 4)), ('and', ('telling-truth', 2), ('telling-truth', 0)), ('->', ('telling-truth', 3), ('telling-truth', 0)))", "index": 427}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Liam, Sofia, Henry, Charlotte, and Emma. Liam commented, \"Henry is a knight\". \"Emma is a knave,\" Sofia declared. Henry expressed that Liam is a knight or Emma is a knave. Charlotte said that Henry is not a knight. Emma said, \"If Liam is a knave then Henry is a knight.\" So who is a knight and who is a knave?", "names": ["Liam", "Sofia", "Henry", "Charlotte", "Emma"], "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": "Liam is a knight, Sofia is a knave, Henry is a knight, Charlotte is a knave, and Emma is a knight.", "solution_text_format": "(1) Liam is a knight\n(2) Sofia is a knave\n(3) Henry is a knight\n(4) Charlotte is a knave\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 Liam is a knight. No contradiction is found in their claim that Henry is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that Liam is a knight or Emma is a knave.", "Assume Emma is a knight. No contradiction is found in their claim that If Liam is a knave then Henry is a knight.", "Sofia cannot be a knight, because this would contradict the claim of their own that Emma is a knave.", "Assume Sofia is a knave. No contradiction is found in their false claim that Emma is a knave.", "Charlotte cannot be a knight, because this would contradict the claim of their own that Henry is not a knight.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Henry is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 2), ('lying', 4), ('or', ('telling-truth', 0), ('lying', 4)), ('not', ('telling-truth', 2)), ('->', ('lying', 0), ('telling-truth', 2)))", "index": 428}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Jack, Elizabeth, Ella, Samuel, and Sofia. In a statement by Jack: \"Ella is not a knight\". \"Jack is a knight,\" Elizabeth declared. \"If Elizabeth is a knave then Ella is a knight\" - Ella. In a statement by Samuel: \"Ella is a knight and Elizabeth is a knight\". Sofia commented, \"Elizabeth is a knight or Elizabeth is a knave\". So who is a knight and who is a knave?", "names": ["Jack", "Elizabeth", "Ella", "Samuel", "Sofia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false, true], "solution_text": "Jack is a knave, Elizabeth is a knave, Ella is a knight, Samuel is a knave, and Sofia is a knight.", "solution_text_format": "(1) Jack is a knave\n(2) Elizabeth is a knave\n(3) Ella is a knight\n(4) Samuel 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 Jack 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 Jack that Ella is not a knight.", "Assume Ella is a knave. No contradiction is found in their false claim that If Elizabeth is a knave then Ella is a knight.", "Elizabeth cannot be a knight, because this would contradict the false claim of Ella that If Elizabeth is a knave then Ella is a knight.", "Elizabeth cannot be a knave, because this would contradict the false claim of their own that Jack is a knight.", "We have exhausted all possibilities for Elizabeth and Ella, so let us go back and reconsider Jack.", "Assume Jack is a knave. No contradiction is found in their false claim that Ella is not a knight.", "Assume Ella is a knight. No contradiction is found in their claim that If Elizabeth is a knave then Ella is a knight.", "Elizabeth cannot be a knight, because this would contradict the claim of their own that Jack is a knight.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Jack is a knight.", "Samuel cannot be a knight, because this would contradict the claim of their own that Ella is a knight and Elizabeth is a knight.", "Assume Samuel is a knave. No contradiction is found in their false claim that Ella is a knight and Elizabeth is a knight.", "Assume Sofia is a knight. No contradiction is found in their claim that Elizabeth is a knight or Elizabeth is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 2)), ('telling-truth', 0), ('->', ('lying', 1), ('telling-truth', 2)), ('and', ('telling-truth', 2), ('telling-truth', 1)), ('or', ('telling-truth', 1), ('lying', 1)))", "index": 429}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Daniel, Joseph, Olivia, William, and Emma. Daniel remarked, \"If William is a knight then Olivia is a knave\". Joseph commented, \"Daniel is a knave and William is a knave\". As Olivia put it, \"Joseph is a knight or Daniel is a knave\". William expressed that Olivia is a knave if and only if Olivia is a knight. Emma asserted: \"Joseph is a knave and William is a knight\". So who is a knight and who is a knave?", "names": ["Daniel", "Joseph", "Olivia", "William", "Emma"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false, false], "solution_text": "Daniel is a knight, Joseph is a knave, Olivia is a knave, William is a knave, and Emma is a knave.", "solution_text_format": "(1) Daniel is a knight\n(2) Joseph is a knave\n(3) Olivia is a knave\n(4) William is a knave\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 Daniel is a knight. No contradiction is found in their claim that If William is a knight then Olivia is a knave.", "William cannot be a knight, because this would contradict the claim of their own that Olivia is a knave if and only if Olivia is a knight.", "Assume William is a knave. No contradiction is found in their false claim that Olivia is a knave if and only if Olivia is a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that Joseph is a knight or Daniel is a knave.", "Joseph cannot be a knight, because this would contradict the claim of their own that Daniel is a knave and William is a knave.", "Joseph cannot be a knave, because this would contradict the claim of Olivia that Joseph is a knight or Daniel is a knave.", "We have exhausted all possibilities for Joseph, so let us go back and reconsider Olivia.", "Assume Olivia is a knave. No contradiction is found in their false claim that Joseph is a knight or Daniel is a knave.", "Joseph cannot be a knight, because this would contradict the claim of their own that Daniel is a knave and William is a knave.", "Assume Joseph is a knave. No contradiction is found in their false claim that Daniel is a knave and William is a knave.", "Emma cannot be a knight, because this would contradict the claim of their own that Joseph is a knave and William is a knight.", "Assume Emma is a knave. No contradiction is found in their false claim that Joseph is a knave and William is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 3), ('lying', 2)), ('and', ('lying', 0), ('lying', 3)), ('or', ('telling-truth', 1), ('lying', 0)), ('<=>', ('lying', 2), ('telling-truth', 2)), ('and', ('lying', 1), ('telling-truth', 3)))", "index": 430}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Emily, Mia, Daniel, Emma, and Liam. Emily commented, \"Emma is a knight or Emma is a knave\". \"If Daniel is a knight then Liam is a knight\" - Mia. Daniel noted, \"Mia is not a knight\". Emma remarked, \"Liam is a knave and Daniel is a knave\". Liam stated, \"Emma is a knight and Daniel is a knave\". So who is a knight and who is a knave?", "names": ["Emily", "Mia", "Daniel", "Emma", "Liam"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false, false], "solution_text": "Emily is a knight, Mia is a knave, Daniel is a knight, Emma is a knave, and Liam is a knave.", "solution_text_format": "(1) Emily is a knight\n(2) Mia is a knave\n(3) Daniel is a knight\n(4) Emma is a knave\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 Emily is a knight. No contradiction is found in their claim that Emma is a knight or Emma is a knave.", "Assume Emma is a knight. No contradiction is found in their claim that Liam is a knave and Daniel is a knave.", "Liam cannot be a knight, because this would contradict the claim of Emma that Liam is a knave and Daniel is a knave.", "Assume Liam is a knave. No contradiction is found in their false claim that Emma is a knight and Daniel is a knave.", "Daniel cannot be a knight, because this would contradict the claim of Emma that Liam is a knave and Daniel is a knave.", "Daniel cannot be a knave, because this would contradict the false claim of Liam that Emma is a knight and Daniel is a knave.", "We have exhausted all possibilities for Daniel and Liam, so let us go back and reconsider Emma.", "Assume Emma is a knave. No contradiction is found in their false claim that Liam is a knave and Daniel is a knave.", "Liam cannot be a knight, because this would contradict the claim of their own that Emma is a knight and Daniel is a knave.", "Assume Liam is a knave. No contradiction is found in their false claim that Emma is a knight and Daniel is a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that Mia is not a knight.", "Mia cannot be a knight, because this would contradict the claim of their own that If Daniel is a knight then Liam is a knight.", "Assume Mia is a knave. No contradiction is found in their false claim that If Daniel is a knight then Liam is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 3), ('lying', 3)), ('->', ('telling-truth', 2), ('telling-truth', 4)), ('not', ('telling-truth', 1)), ('and', ('lying', 4), ('lying', 2)), ('and', ('telling-truth', 3), ('lying', 2)))", "index": 431}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: David, William, Mia, Jackson, and Joseph. David said, \"If William is a knight then William is a knave.\" \"Jackson is a knight,\" William declared. \"David is a knave and Jackson is a knave\" - Mia. Jackson remarked, \"Joseph is a knave or Jackson is a knight\". \"Jackson is a knight and Mia is a knave\" - Joseph. So who is a knight and who is a knave?", "names": ["David", "William", "Mia", "Jackson", "Joseph"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true, true], "solution_text": "David is a knave, William is a knight, Mia is a knave, Jackson is a knight, and Joseph is a knight.", "solution_text_format": "(1) David is a knave\n(2) William is a knight\n(3) Mia is a knave\n(4) Jackson is a knight\n(5) Joseph is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume David is a knight. No contradiction is found in their claim that If William is a knight then William is a knave.", "William cannot be a knight, because this would contradict the claim of David that If William is a knight then William is a knave.", "Assume William is a knave. No contradiction is found in their false claim that Jackson is a knight.", "Jackson cannot be a knight, because this would contradict the false claim of William that Jackson is a knight.", "Assume Jackson is a knave. No contradiction is found in their false claim that Joseph is a knave or Jackson is a knight.", "Joseph cannot be a knight, because this would contradict the claim of their own that Jackson is a knight and Mia is a knave.", "Joseph cannot be a knave, because this would contradict the false claim of Jackson that Joseph is a knave or Jackson is a knight.", "We have exhausted all possibilities for Joseph, Jackson, and William, so let us go back and reconsider David.", "Assume David is a knave. No contradiction is found in their false claim that If William is a knight then William is a knave.", "Assume William is a knight. No contradiction is found in their claim that Jackson is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that Joseph is a knave or Jackson is a knight.", "Assume Joseph is a knight. No contradiction is found in their claim that Jackson is a knight and Mia is a knave.", "Mia cannot be a knight, because this would contradict the claim of their own that David is a knave and Jackson is a knave.", "Assume Mia is a knave. No contradiction is found in their false claim that David is a knave and Jackson is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 1), ('lying', 1)), ('telling-truth', 3), ('and', ('lying', 0), ('lying', 3)), ('or', ('lying', 4), ('telling-truth', 3)), ('and', ('telling-truth', 3), ('lying', 2)))", "index": 432}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Emily, Olivia, Grace, Aria, and Victoria. Emily stated, \"Grace is not a knave\". In Olivia's words: \"If Grace is a knave then Aria is a knave\". \"Emily is a knave if and only if Grace is a knight,\" Grace mentioned. Aria said, \"Grace is not a knight.\" Victoria said that Olivia is a knight and Emily is a knave. So who is a knight and who is a knave?", "names": ["Emily", "Olivia", "Grace", "Aria", "Victoria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true, false], "solution_text": "Emily is a knave, Olivia is a knave, Grace is a knave, Aria is a knight, and Victoria is a knave.", "solution_text_format": "(1) Emily is a knave\n(2) Olivia is a knave\n(3) Grace is a knave\n(4) Aria is a knight\n(5) Victoria is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Emily is a knight. No contradiction is found in their claim that Grace is not a knave.", "Grace cannot be a knight, because this would contradict the claim of their own that Emily is a knave if and only if Grace is a knight.", "Grace cannot be a knave, because this would contradict the claim of Emily that Grace is not a knave.", "We have exhausted all possibilities for Grace, so let us go back and reconsider Emily.", "Assume Emily is a knave. No contradiction is found in their false claim that Grace is not a knave.", "Grace cannot be a knight, because this would contradict the false claim of Emily that Grace is not a knave.", "Assume Grace is a knave. No contradiction is found in their false claim that Emily is a knave if and only if Grace is a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that If Grace is a knave then Aria is a knave.", "Aria cannot be a knight, because this would contradict the claim of Olivia that If Grace is a knave then Aria is a knave.", "Aria cannot be a knave, because this would contradict the false claim of their own that Grace is not a knight.", "We have exhausted all possibilities for Aria, so let us go back and reconsider Olivia.", "Assume Olivia is a knave. No contradiction is found in their false claim that If Grace is a knave then Aria is a knave.", "Assume Aria is a knight. No contradiction is found in their claim that Grace is not a knight.", "Victoria cannot be a knight, because this would contradict the claim of their own that Olivia is a knight and Emily is a knave.", "Assume Victoria is a knave. No contradiction is found in their false claim that Olivia is a knight and Emily is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 2)), ('->', ('lying', 2), ('lying', 3)), ('<=>', ('lying', 0), ('telling-truth', 2)), ('not', ('telling-truth', 2)), ('and', ('telling-truth', 1), ('lying', 0)))", "index": 433}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Amelia, William, Scarlett, Matthew, and Sophia. Amelia was heard saying, \"Scarlett is a knave or Scarlett is a knight\". William told you that If Sophia is a knave then Matthew is a knave. Scarlett noted, \"Scarlett is a knight or Sophia is a knight\". Matthew noted, \"Amelia is a knave\". Sophia was heard saying, \"Matthew is a knave\". So who is a knight and who is a knave?", "names": ["Amelia", "William", "Scarlett", "Matthew", "Sophia"], "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": "Amelia is a knight, William is a knight, Scarlett is a knight, Matthew is a knave, and Sophia is a knight.", "solution_text_format": "(1) Amelia is a knight\n(2) William is a knight\n(3) Scarlett is a knight\n(4) Matthew 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 Amelia is a knight. No contradiction is found in their claim that Scarlett is a knave or Scarlett is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that Scarlett is a knight or Sophia is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that Matthew is a knave.", "Matthew cannot be a knight, because this would contradict the claim of their own that Amelia is a knave.", "Assume Matthew is a knave. No contradiction is found in their false claim that Amelia is a knave.", "Assume William is a knight. No contradiction is found in their claim that If Sophia is a knave then Matthew is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 2), ('telling-truth', 2)), ('->', ('lying', 4), ('lying', 3)), ('or', ('telling-truth', 2), ('telling-truth', 4)), ('lying', 0), ('lying', 3))", "index": 434}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Riley, Harper, Alexander, Joseph, and Elizabeth. Riley expressed that If Joseph is a knight then Alexander is a knight. In Harper's words: \"Alexander is a knight if and only if Elizabeth is a knight\". As Alexander put it, \"Joseph is not a knave\". In a statement by Joseph: \"Riley is a knave and Alexander is a knight\". As Elizabeth put it, \"Riley is a knave\". So who is a knight and who is a knave?", "names": ["Riley", "Harper", "Alexander", "Joseph", "Elizabeth"], "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": "Riley is a knight, Harper is a knight, Alexander is a knave, Joseph is a knave, and Elizabeth is a knave.", "solution_text_format": "(1) Riley is a knight\n(2) Harper is a knight\n(3) Alexander is a knave\n(4) Joseph is a knave\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 Riley is a knight. No contradiction is found in their claim that If Joseph is a knight then Alexander is a knight.", "Joseph cannot be a knight, because this would contradict the claim of their own that Riley is a knave and Alexander is a knight.", "Assume Joseph is a knave. No contradiction is found in their false claim that Riley is a knave and Alexander is a knight.", "Alexander cannot be a knight, because this would contradict the claim of their own that Joseph is not a knave.", "Assume Alexander is a knave. No contradiction is found in their false claim that Joseph is not a knave.", "Assume Harper is a knight. No contradiction is found in their claim that Alexander is a knight if and only if Elizabeth is a knight.", "Elizabeth cannot be a knight, because this would contradict the claim of Harper that Alexander is a knight if and only if Elizabeth is a knight.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Riley is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 3), ('telling-truth', 2)), ('<=>', ('telling-truth', 2), ('telling-truth', 4)), ('not', ('lying', 3)), ('and', ('lying', 0), ('telling-truth', 2)), ('lying', 0))", "index": 435}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Scarlett, Joseph, Grace, Aiden, and Isabella. \"Grace is not a knave,\" Scarlett declared. Joseph stated, \"Aiden is a knight and Isabella is a knight\". According to Grace, \"Grace is a knight if and only if Aiden is a knave\". Aiden was heard saying, \"Grace is not a knight\". Isabella was heard saying, \"Grace is a knave and Scarlett is a knave\". So who is a knight and who is a knave?", "names": ["Scarlett", "Joseph", "Grace", "Aiden", "Isabella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false, false], "solution_text": "Scarlett is a knight, Joseph is a knave, Grace is a knight, Aiden is a knave, and Isabella is a knave.", "solution_text_format": "(1) Scarlett is a knight\n(2) Joseph is a knave\n(3) Grace is a knight\n(4) Aiden is a knave\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 Scarlett is a knight. No contradiction is found in their claim that Grace is not a knave.", "Assume Grace is a knight. No contradiction is found in their claim that Grace is a knight if and only if Aiden is a knave.", "Aiden cannot be a knight, because this would contradict the claim of Grace that Grace is a knight if and only if Aiden is a knave.", "Assume Aiden is a knave. No contradiction is found in their false claim that Grace is not a knight.", "Joseph cannot be a knight, because this would contradict the claim of their own that Aiden is a knight and Isabella is a knight.", "Assume Joseph is a knave. No contradiction is found in their false claim that Aiden is a knight and Isabella is a knight.", "Isabella cannot be a knight, because this would contradict the claim of their own that Grace is a knave and Scarlett is a knave.", "Assume Isabella is a knave. No contradiction is found in their false claim that Grace is a knave and Scarlett is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 2)), ('and', ('telling-truth', 3), ('telling-truth', 4)), ('<=>', ('telling-truth', 2), ('lying', 3)), ('not', ('telling-truth', 2)), ('and', ('lying', 2), ('lying', 0)))", "index": 436}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Michael, Liam, Emily, Charlotte, and Aurora. \"Aurora is a knight and Liam is a knight\" - Michael. Liam asserted: \"If Michael is a knave then Michael is a knight\". Emily asserted: \"Aurora is a knave and Charlotte is a knave\". Charlotte expressed that Michael is a knight and Liam is a knave. Aurora expressed that Liam is not a knight. So who is a knight and who is a knave?", "names": ["Michael", "Liam", "Emily", "Charlotte", "Aurora"], "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": "Michael is a knave, Liam is a knave, Emily is a knave, Charlotte is a knave, and Aurora is a knight.", "solution_text_format": "(1) Michael is a knave\n(2) Liam is a knave\n(3) Emily is a knave\n(4) Charlotte 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 Michael is a knight. No contradiction is found in their claim that Aurora is a knight and Liam is a knight.", "Assume Aurora 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 Aurora that Liam is not a knight.", "Liam cannot be a knave, because this would contradict the claim of Michael that Aurora is a knight and Liam is a knight.", "We have exhausted all possibilities for Liam, so let us go back and reconsider Aurora.", "Aurora cannot be a knave, because this would contradict the claim of Michael that Aurora is a knight and Liam is a knight.", "We have exhausted all possibilities for Aurora, so let us go back and reconsider Michael.", "Assume Michael is a knave. No contradiction is found in their false claim that Aurora is a knight and Liam is a knight.", "Assume Aurora 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 false claim of Michael that Aurora is a knight and Liam is a knight.", "Assume Liam is a knave. No contradiction is found in their false claim that If Michael is a knave then Michael is a knight.", "Emily cannot be a knight, because this would contradict the claim of their own that Aurora is a knave and Charlotte is a knave.", "Assume Emily is a knave. No contradiction is found in their false claim that Aurora is a knave and Charlotte is a knave.", "Charlotte cannot be a knight, because this would contradict the claim of their own that Michael is a knight and Liam is a knave.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Michael is a knight and Liam is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 4), ('telling-truth', 1)), ('->', ('lying', 0), ('telling-truth', 0)), ('and', ('lying', 4), ('lying', 3)), ('and', ('telling-truth', 0), ('lying', 1)), ('not', ('telling-truth', 1)))", "index": 437}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Jackson, Harper, Ella, Grace, and Lily. Jackson expressed that Lily is a knight if and only if Ella is a knight. As Harper put it, \"Ella is a knave and Jackson is a knight\". In Ella's words: \"Harper is a knight or Jackson is a knight\". According to Grace, \"If Lily is a knight then Harper is a knave\". \"Lily is a knight if and only if Ella is a knave,\" Lily mentioned. So who is a knight and who is a knave?", "names": ["Jackson", "Harper", "Ella", "Grace", "Lily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true, true], "solution_text": "Jackson is a knave, Harper is a knave, Ella is a knave, Grace is a knight, and Lily is a knight.", "solution_text_format": "(1) Jackson is a knave\n(2) Harper is a knave\n(3) Ella is a knave\n(4) Grace 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": ["Assume Jackson is a knight. No contradiction is found in their claim that Lily is a knight if and only if Ella is a knight.", "Assume Lily is a knight. No contradiction is found in their claim that Lily is a knight if and only if Ella is a knave.", "Ella cannot be a knight, because this would contradict the claim of Lily that Lily is a knight if and only if Ella is a knave.", "Ella cannot be a knave, because this would contradict the claim of Jackson that Lily is a knight if and only if Ella is a knight.", "We have exhausted all possibilities for Ella, so let us go back and reconsider Lily.", "Assume Lily is a knave. No contradiction is found in their false claim that Lily is a knight if and only if Ella is a knave.", "Ella cannot be a knight, because this would contradict the claim of Jackson that Lily is a knight if and only if Ella is a knight.", "Ella cannot be a knave, because this would contradict the false claim of their own that Harper is a knight or Jackson is a knight.", "We have exhausted all possibilities for Ella and Lily, so let us go back and reconsider Jackson.", "Assume Jackson is a knave. No contradiction is found in their false claim that Lily is a knight if and only if Ella is a knight.", "Assume Lily is a knight. No contradiction is found in their claim that Lily is a knight if and only if Ella is a knave.", "Ella cannot be a knight, because this would contradict the false claim of Jackson that Lily is a knight if and only if Ella is a knight.", "Assume Ella is a knave. No contradiction is found in their false claim that Harper is a knight or Jackson is a knight.", "Harper cannot be a knight, because this would contradict the claim of their own that Ella is a knave and Jackson is a knight.", "Assume Harper is a knave. No contradiction is found in their false claim that Ella is a knave and Jackson is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that If Lily is a knight then Harper is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 4), ('telling-truth', 2)), ('and', ('lying', 2), ('telling-truth', 0)), ('or', ('telling-truth', 1), ('telling-truth', 0)), ('->', ('telling-truth', 4), ('lying', 1)), ('<=>', ('telling-truth', 4), ('lying', 2)))", "index": 438}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Charlotte, Aiden, Sebastian, Evelyn, and Scarlett. \"If Aiden is a knight then Evelyn is a knight,\" Charlotte declared. Aiden stated, \"Sebastian is a knight and Evelyn is a knight\". Sebastian told you that Charlotte is a knave. \"If Scarlett is a knight then Sebastian is a knave,\" Evelyn declared. Scarlett was heard saying, \"Charlotte is a knave and Sebastian is a knight\". So who is a knight and who is a knave?", "names": ["Charlotte", "Aiden", "Sebastian", "Evelyn", "Scarlett"], "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": "Charlotte is a knight, Aiden is a knave, Sebastian is a knave, Evelyn is a knight, and Scarlett is a knave.", "solution_text_format": "(1) Charlotte is a knight\n(2) Aiden is a knave\n(3) Sebastian is a knave\n(4) Evelyn 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 Charlotte is a knight. No contradiction is found in their claim that If Aiden is a knight then Evelyn is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that Sebastian is a knight and Evelyn is a knight.", "Sebastian cannot be a knight, because this would contradict the claim of their own that Charlotte is a knave.", "Sebastian cannot be a knave, because this would contradict the claim of Aiden that Sebastian is a knight and Evelyn is a knight.", "We have exhausted all possibilities for Sebastian, so let us go back and reconsider Aiden.", "Assume Aiden is a knave. No contradiction is found in their false claim that Sebastian is a knight and Evelyn is a knight.", "Sebastian cannot be a knight, because this would contradict the claim of their own that Charlotte is a knave.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Charlotte is a knave.", "Assume Evelyn is a knight. No contradiction is found in their claim that If Scarlett is a knight then Sebastian is a knave.", "Scarlett cannot be a knight, because this would contradict the claim of their own that Charlotte is a knave and Sebastian is a knight.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Charlotte is a knave and Sebastian is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 1), ('telling-truth', 3)), ('and', ('telling-truth', 2), ('telling-truth', 3)), ('lying', 0), ('->', ('telling-truth', 4), ('lying', 2)), ('and', ('lying', 0), ('telling-truth', 2)))", "index": 439}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Charlotte, Zoey, Jack, Liam, and Mason. Charlotte noted, \"Jack is a knight and Jack is a knave\". According to Zoey, \"Mason is a knave and Charlotte is a knight\". Jack noted, \"If Mason is a knight then Liam is a knave\". Liam was heard saying, \"Zoey is not a knave\". Mason remarked, \"Jack is a knave and Zoey is a knight\". So who is a knight and who is a knave?", "names": ["Charlotte", "Zoey", "Jack", "Liam", "Mason"], "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": "Charlotte is a knave, Zoey is a knave, Jack is a knight, Liam is a knave, and Mason is a knave.", "solution_text_format": "(1) Charlotte is a knave\n(2) Zoey is a knave\n(3) Jack is a knight\n(4) Liam is a knave\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": ["Charlotte cannot be a knight, because this would contradict the claim of their own that Jack is a knight and Jack is a knave.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Jack is a knight and Jack is a knave.", "Assume Jack is a knight. No contradiction is found in their claim that If Mason is a knight then Liam is a knave.", "Mason cannot be a knight, because this would contradict the claim of their own that Jack is a knave and Zoey is a knight.", "Assume Mason is a knave. No contradiction is found in their false claim that Jack is a knave and Zoey is a knight.", "Zoey cannot be a knight, because this would contradict the claim of their own that Mason is a knave and Charlotte is a knight.", "Assume Zoey is a knave. No contradiction is found in their false claim that Mason is a knave and Charlotte is a knight.", "Liam cannot be a knight, because this would contradict the claim of their own that Zoey is not a knave.", "Assume Liam is a knave. No contradiction is found in their false claim that Zoey is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 2), ('lying', 2)), ('and', ('lying', 4), ('telling-truth', 0)), ('->', ('telling-truth', 4), ('lying', 3)), ('not', ('lying', 1)), ('and', ('lying', 2), ('telling-truth', 1)))", "index": 440}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Liam, Henry, Lily, Olivia, and Emma. \"Olivia is a knave or Henry is a knight,\" Liam declared. In a statement by Henry: \"Henry is a knight or Emma is a knave\". Lily commented, \"Emma is a knave if and only if Liam is a knave\". Olivia noted, \"Henry is a knave or Liam is a knave\". Emma asserted: \"Liam is a knight\". So who is a knight and who is a knave?", "names": ["Liam", "Henry", "Lily", "Olivia", "Emma"], "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": "Liam is a knight, Henry is a knight, Lily is a knight, Olivia is a knave, and Emma is a knight.", "solution_text_format": "(1) Liam is a knight\n(2) Henry is a knight\n(3) Lily is a knight\n(4) Olivia is a knave\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 Liam is a knight. No contradiction is found in their claim that Olivia is a knave or Henry is a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that Henry is a knave or Liam is a knave.", "Henry cannot be a knight, because this would contradict the claim of Olivia that Henry is a knave or Liam is a knave.", "Henry cannot be a knave, because this would contradict the claim of Liam that Olivia is a knave or Henry is a knight.", "We have exhausted all possibilities for Henry, so let us go back and reconsider Olivia.", "Assume Olivia is a knave. No contradiction is found in their false claim that Henry is a knave or Liam is a knave.", "Assume Henry is a knight. No contradiction is found in their claim that Henry is a knight or Emma is a knave.", "Assume Emma is a knight. No contradiction is found in their claim that Liam is a knight.", "Assume Lily is a knight. No contradiction is found in their claim that Emma is a knave if and only if Liam is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 3), ('telling-truth', 1)), ('or', ('telling-truth', 1), ('lying', 4)), ('<=>', ('lying', 4), ('lying', 0)), ('or', ('lying', 1), ('lying', 0)), ('telling-truth', 0))", "index": 441}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Penelope, Ethan, Harper, Emily, and Oliver. As Penelope put it, \"Ethan is a knave if and only if Harper is a knight\". \"Penelope is a knave or Ethan is a knight,\" Ethan mentioned. Harper commented, \"Oliver is a knave if and only if Emily is a knight\". \"If Emily is a knight then Penelope is a knight\" - Emily. According to Oliver, \"Emily is a knight\". So who is a knight and who is a knave?", "names": ["Penelope", "Ethan", "Harper", "Emily", "Oliver"], "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": "Penelope is a knight, Ethan is a knight, Harper is a knave, Emily is a knight, and Oliver is a knight.", "solution_text_format": "(1) Penelope is a knight\n(2) Ethan is a knight\n(3) Harper is a knave\n(4) Emily is a knight\n(5) Oliver is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Penelope is a knight. No contradiction is found in their claim that Ethan is a knave if and only if Harper is a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that Penelope is a knave or Ethan is a knight.", "Harper cannot be a knight, because this would contradict the claim of Penelope that Ethan is a knave if and only if Harper is a knight.", "Assume Harper is a knave. No contradiction is found in their false claim that Oliver is a knave if and only if Emily is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that Emily is a knight.", "Assume Emily is a knight. No contradiction is found in their claim that If Emily is a knight then Penelope is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('telling-truth', 2)), ('or', ('lying', 0), ('telling-truth', 1)), ('<=>', ('lying', 4), ('telling-truth', 3)), ('->', ('telling-truth', 3), ('telling-truth', 0)), ('telling-truth', 3))", "index": 442}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Riley, Chloe, Aria, Charlotte, and Liam. Riley told you that Liam is a knave or Liam is a knight. According to Chloe, \"Aria is a knight and Chloe is a knight\". Aria told you that If Charlotte is a knight then Chloe is a knave. Charlotte remarked, \"Chloe is not a knave\". Liam commented, \"Charlotte is a knight if and only if Aria is a knave\". So who is a knight and who is a knave?", "names": ["Riley", "Chloe", "Aria", "Charlotte", "Liam"], "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": "Riley is a knight, Chloe is a knave, Aria is a knight, Charlotte is a knave, and Liam is a knight.", "solution_text_format": "(1) Riley is a knight\n(2) Chloe is a knave\n(3) Aria is a knight\n(4) Charlotte 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 Riley is a knight. No contradiction is found in their claim that Liam is a knave or Liam is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that Charlotte is a knight if and only if Aria is a knave.", "Assume Charlotte 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 Aria is a knight and Chloe is a knight.", "Aria cannot be a knight, because this would contradict the claim of their own that If Charlotte is a knight then Chloe is a knave.", "Aria cannot be a knave, because this would contradict the claim of Chloe that Aria is a knight and Chloe is a knight.", "We have exhausted all possibilities for Aria, so let us go back and reconsider Chloe.", "Chloe cannot be a knave, because this would contradict the claim of Charlotte that Chloe is not a knave.", "We have exhausted all possibilities for Chloe, so let us go back and reconsider Charlotte.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Chloe is not a knave.", "Chloe cannot be a knight, because this would contradict the false claim of Charlotte that Chloe is not a knave.", "Assume Chloe is a knave. No contradiction is found in their false claim that Aria is a knight and Chloe is a knight.", "Assume Aria is a knight. No contradiction is found in their claim that If Charlotte is a knight then Chloe is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 4), ('telling-truth', 4)), ('and', ('telling-truth', 2), ('telling-truth', 1)), ('->', ('telling-truth', 3), ('lying', 1)), ('not', ('lying', 1)), ('<=>', ('telling-truth', 3), ('lying', 2)))", "index": 443}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Abigail, Jackson, Harper, Grace, and Olivia. As Abigail put it, \"Jackson is not a knave\". Jackson expressed that Olivia is a knight or Jackson is a knight. \"Harper is a knight and Grace is a knight\" - Harper. \"Abigail is a knave,\" Grace declared. Olivia commented, \"If Grace is a knave then Abigail is a knave\". So who is a knight and who is a knave?", "names": ["Abigail", "Jackson", "Harper", "Grace", "Olivia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false, false], "solution_text": "Abigail is a knight, Jackson is a knight, Harper is a knave, Grace is a knave, and Olivia is a knave.", "solution_text_format": "(1) Abigail is a knight\n(2) Jackson is a knight\n(3) Harper is a knave\n(4) Grace is a knave\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 Abigail is a knight. No contradiction is found in their claim that Jackson is not a knave.", "Assume Jackson is a knight. No contradiction is found in their claim that Olivia is a knight or Jackson is a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that If Grace is a knave then Abigail is a knave.", "Grace cannot be a knight, because this would contradict the claim of their own that Abigail is a knave.", "Grace cannot be a knave, because this would contradict the claim of Olivia that If Grace is a knave then Abigail is a knave.", "We have exhausted all possibilities for Grace, so let us go back and reconsider Olivia.", "Assume Olivia is a knave. No contradiction is found in their false claim that If Grace is a knave then Abigail is a knave.", "Grace cannot be a knight, because this would contradict the claim of their own that Abigail is a knave.", "Assume Grace is a knave. No contradiction is found in their false claim that Abigail is a knave.", "Harper cannot be a knight, because this would contradict the claim of their own that Harper is a knight and Grace is a knight.", "Assume Harper is a knave. No contradiction is found in their false claim that Harper is a knight and Grace is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 1)), ('or', ('telling-truth', 4), ('telling-truth', 1)), ('and', ('telling-truth', 2), ('telling-truth', 3)), ('lying', 0), ('->', ('lying', 3), ('lying', 0)))", "index": 444}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Henry, Avery, Grace, Alexander, and Riley. Henry asserted: \"If Alexander is a knave then Avery is a knight\". Avery said that Alexander is a knave or Henry is a knave. \"Henry is a knave,\" Grace declared. Alexander commented, \"Henry is a knave and Riley is a knight\". Riley noted, \"Avery is a knave\". So who is a knight and who is a knave?", "names": ["Henry", "Avery", "Grace", "Alexander", "Riley"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false, false], "solution_text": "Henry is a knight, Avery is a knight, Grace is a knave, Alexander is a knave, and Riley is a knave.", "solution_text_format": "(1) Henry is a knight\n(2) Avery is a knight\n(3) Grace is a knave\n(4) Alexander 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 Henry is a knight. No contradiction is found in their claim that If Alexander is a knave then Avery is a knight.", "Alexander cannot be a knight, because this would contradict the claim of their own that Henry is a knave and Riley is a knight.", "Assume Alexander is a knave. No contradiction is found in their false claim that Henry is a knave and Riley is a knight.", "Assume Riley 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 Riley that Avery is a knave.", "Avery cannot be a knave, because this would contradict the claim of Henry that If Alexander is a knave then Avery is a knight.", "We have exhausted all possibilities for Avery, so let us go back and reconsider Riley.", "Assume Riley is a knave. No contradiction is found in their false claim that Avery is a knave.", "Assume Avery is a knight. No contradiction is found in their claim that Alexander is a knave or Henry is a knave.", "Grace cannot be a knight, because this would contradict the claim of their own that Henry is a knave.", "Assume Grace is a knave. No contradiction is found in their false claim that Henry is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 3), ('telling-truth', 1)), ('or', ('lying', 3), ('lying', 0)), ('lying', 0), ('and', ('lying', 0), ('telling-truth', 4)), ('lying', 1))", "index": 445}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Daniel, Olivia, Charlotte, Sophia, and Ella. Daniel remarked, \"Ella is not a knave\". \"If Daniel is a knight then Charlotte is a knave,\" Olivia declared. Charlotte remarked, \"Ella is a knave or Ella is a knight\". Sophia noted, \"Daniel is a knave or Olivia is a knave\". Ella said, \"Sophia is a knave and Olivia is a knave.\" So who is a knight and who is a knave?", "names": ["Daniel", "Olivia", "Charlotte", "Sophia", "Ella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, false], "solution_text": "Daniel is a knave, Olivia is a knight, Charlotte is a knight, Sophia is a knight, and Ella is a knave.", "solution_text_format": "(1) Daniel is a knave\n(2) Olivia is a knight\n(3) Charlotte is a knight\n(4) Sophia is a knight\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 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 Sophia is a knave and Olivia is a knave.", "Sophia cannot be a knight, because this would contradict the claim of Ella that Sophia is a knave and Olivia is a knave.", "Assume Sophia is a knave. No contradiction is found in their false claim that Daniel is a knave or Olivia is a knave.", "Olivia cannot be a knight, because this would contradict the claim of Ella that Sophia is a knave and Olivia is a knave.", "Olivia cannot be a knave, because this would contradict the false claim of Sophia that Daniel is a knave or Olivia is a knave.", "We have exhausted all possibilities for Olivia and Sophia, so let us go back and reconsider Ella.", "Ella cannot be a knave, because this would contradict the claim of Daniel that Ella is not a knave.", "We have exhausted all possibilities for Ella, so let us go back and reconsider Daniel.", "Assume Daniel is a knave. No contradiction is found in their false claim that Ella is not a knave.", "Ella cannot be a knight, because this would contradict the false claim of Daniel that Ella is not a knave.", "Assume Ella is a knave. No contradiction is found in their false claim that Sophia is a knave and Olivia is a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that Daniel is a knave or Olivia is a knave.", "Assume Olivia is a knight. No contradiction is found in their claim that If Daniel is a knight then Charlotte is a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that Ella is a knave or Ella is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 4)), ('->', ('telling-truth', 0), ('lying', 2)), ('or', ('lying', 4), ('telling-truth', 4)), ('or', ('lying', 0), ('lying', 1)), ('and', ('lying', 3), ('lying', 1)))", "index": 446}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Amelia, Sofia, William, James, and Jack. Amelia noted, \"Jack is a knave if and only if James is a knight\". Sofia commented, \"William is a knave or James is a knight\". According to William, \"Sofia is a knight if and only if Jack is a knave\". According to James, \"Jack is not a knave\". Jack said that If Amelia is a knave then Jack is a knight. So who is a knight and who is a knave?", "names": ["Amelia", "Sofia", "William", "James", "Jack"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true, true], "solution_text": "Amelia is a knave, Sofia is a knight, William is a knave, James is a knight, and Jack is a knight.", "solution_text_format": "(1) Amelia is a knave\n(2) Sofia is a knight\n(3) William is a knave\n(4) James 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 Amelia is a knight. No contradiction is found in their claim that Jack is a knave if and only if James is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that If Amelia is a knave then Jack is a knight.", "James cannot be a knight, because this would contradict the claim of Amelia that Jack is a knave if and only if James is a knight.", "James cannot be a knave, because this would contradict the false claim of their own that Jack is not a knave.", "We have exhausted all possibilities for James, so let us go back and reconsider Jack.", "Jack cannot be a knave, because this would contradict the false claim of their own that If Amelia is a knave then Jack is a knight.", "We have exhausted all possibilities for Jack, so let us go back and reconsider Amelia.", "Assume Amelia is a knave. No contradiction is found in their false claim that Jack is a knave if and only if James is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that If Amelia is a knave then Jack is a knight.", "Assume James is a knight. No contradiction is found in their claim that Jack is not a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that William is a knave or James is a knight.", "William cannot be a knight, because this would contradict the claim of their own that Sofia is a knight if and only if Jack is a knave.", "Assume William is a knave. No contradiction is found in their false claim that Sofia is a knight if and only if Jack is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 4), ('telling-truth', 3)), ('or', ('lying', 2), ('telling-truth', 3)), ('<=>', ('telling-truth', 1), ('lying', 4)), ('not', ('lying', 4)), ('->', ('lying', 0), ('telling-truth', 4)))", "index": 447}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: James, Ella, David, Ava, and Samuel. According to James, \"Ella is a knave and Samuel is a knave\". Ella was heard saying, \"David is a knight and Ella is a knight\". David told you that Samuel is a knave and Samuel is a knight. Ava asserted: \"David is not a knave\". Samuel asserted: \"David is not a knight\". So who is a knight and who is a knave?", "names": ["James", "Ella", "David", "Ava", "Samuel"], "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": "James is a knave, Ella is a knave, David is a knave, Ava is a knave, and Samuel is a knight.", "solution_text_format": "(1) James is a knave\n(2) Ella is a knave\n(3) David is a knave\n(4) Ava 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 James is a knight. No contradiction is found in their claim that Ella is a knave and Samuel is a knave.", "Ella cannot be a knight, because this would contradict the claim of James that Ella is a knave and Samuel is a knave.", "Assume Ella is a knave. No contradiction is found in their false claim that David is a knight and Ella is a knight.", "David cannot be a knight, because this would contradict the claim of their own that Samuel is a knave and Samuel is a knight.", "Assume David is a knave. No contradiction is found in their false claim that Samuel is a knave and Samuel is a knight.", "Samuel cannot be a knight, because this would contradict the claim of James that Ella is a knave and Samuel is a knave.", "Samuel 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 Samuel, David, and Ella, 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 knave and Samuel is a knave.", "Assume Ella is a knight. No contradiction is found in their claim that David is a knight and Ella is a knight.", "David cannot be a knight, because this would contradict the claim of their own that Samuel is a knave and Samuel is a knight.", "David cannot be a knave, because this would contradict the claim of Ella that David is a knight and Ella is a knight.", "We have exhausted all possibilities for David, so let us go back and reconsider Ella.", "Assume Ella is a knave. No contradiction is found in their false claim that David is a knight and Ella is a knight.", "David cannot be a knight, because this would contradict the claim of their own that Samuel is a knave and Samuel is a knight.", "Assume David is a knave. No contradiction is found in their false claim that Samuel is a knave and Samuel is a knight.", "Assume Samuel is a knight. No contradiction is found in their claim that David is not a knight.", "Ava cannot be a knight, because this would contradict the claim of their own that David is not a knave.", "Assume Ava is a knave. No contradiction is found in their false claim that David is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('lying', 4)), ('and', ('telling-truth', 2), ('telling-truth', 1)), ('and', ('lying', 4), ('telling-truth', 4)), ('not', ('lying', 2)), ('not', ('telling-truth', 2)))", "index": 448}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Charlotte, Sophia, Lily, Riley, and Liam. As Charlotte put it, \"If Lily is a knave then Riley is a knight\". \"Lily is a knight and Riley is a knave,\" Sophia mentioned. According to Lily, \"If Riley is a knave then Riley is a knight\". Riley stated, \"Lily is a knight and Charlotte is a knave\". \"If Lily is a knave then Charlotte is a knight,\" Liam declared. So who is a knight and who is a knave?", "names": ["Charlotte", "Sophia", "Lily", "Riley", "Liam"], "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": "Charlotte is a knave, Sophia is a knave, Lily is a knave, Riley is a knave, and Liam is a knave.", "solution_text_format": "(1) Charlotte is a knave\n(2) Sophia is a knave\n(3) Lily is a knave\n(4) Riley is a knave\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 Charlotte is a knight. No contradiction is found in their claim that If Lily is a knave then Riley is a knight.", "Assume Lily is a knight. No contradiction is found in their claim that If Riley is a knave then Riley is a knight.", "Riley cannot be a knight, because this would contradict the claim of their own that Lily is a knight and Charlotte is a knave.", "Riley cannot be a knave, because this would contradict the claim of Lily that If Riley is a knave then Riley is a knight.", "We have exhausted all possibilities for Riley, so let us go back and reconsider Lily.", "Assume Lily is a knave. No contradiction is found in their false claim that If Riley is a knave then Riley is a knight.", "Riley cannot be a knight, because this would contradict the false claim of Lily that If Riley is a knave then Riley is a knight.", "Riley cannot be a knave, because this would contradict the claim of Charlotte that If Lily is a knave then Riley is a knight.", "We have exhausted all possibilities for Riley and Lily, so let us go back and reconsider Charlotte.", "Assume Charlotte is a knave. No contradiction is found in their false claim that If Lily is a knave then Riley is a knight.", "Lily cannot be a knight, because this would contradict the false claim of Charlotte that If Lily is a knave then Riley is a knight.", "Assume Lily is a knave. No contradiction is found in their false claim that If Riley is a knave then Riley is a knight.", "Riley cannot be a knight, because this would contradict the false claim of Charlotte that If Lily is a knave then Riley is a knight.", "Assume Riley is a knave. No contradiction is found in their false claim that Lily is a knight and Charlotte is a knave.", "Sophia cannot be a knight, because this would contradict the claim of their own that Lily is a knight and Riley is a knave.", "Assume Sophia is a knave. No contradiction is found in their false claim that Lily is a knight and Riley is a knave.", "Liam cannot be a knight, because this would contradict the claim of their own that If Lily is a knave then Charlotte is a knight.", "Assume Liam is a knave. No contradiction is found in their false claim that If Lily is a knave then Charlotte is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 2), ('telling-truth', 3)), ('and', ('telling-truth', 2), ('lying', 3)), ('->', ('lying', 3), ('telling-truth', 3)), ('and', ('telling-truth', 2), ('lying', 0)), ('->', ('lying', 2), ('telling-truth', 0)))", "index": 449}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Liam, Oliver, Aurora, Jackson, and Ethan. Liam stated, \"If Ethan is a knave then Liam is a knight\". Oliver commented, \"Oliver is a knight or Liam is a knight\". Aurora said that If Oliver is a knight then Jackson is a knave. Jackson remarked, \"If Liam is a knave then Oliver is a knave\". \"Jackson is a knight or Aurora is a knight,\" Ethan declared. So who is a knight and who is a knave?", "names": ["Liam", "Oliver", "Aurora", "Jackson", "Ethan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true, true], "solution_text": "Liam is a knight, Oliver is a knight, Aurora is a knave, Jackson is a knight, and Ethan is a knight.", "solution_text_format": "(1) Liam is a knight\n(2) Oliver is a knight\n(3) Aurora is a knave\n(4) Jackson is a knight\n(5) 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 Liam is a knight. No contradiction is found in their claim that If Ethan is a knave then Liam is a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that Jackson is a knight or Aurora is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that If Liam is a knave then Oliver is a knave.", "Assume Oliver is a knight. No contradiction is found in their claim that Oliver is a knight or Liam is a knight.", "Aurora cannot be a knight, because this would contradict the claim of their own that If Oliver is a knight then Jackson is a knave.", "Assume Aurora is a knave. No contradiction is found in their false claim that If Oliver is a knight then Jackson is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 4), ('telling-truth', 0)), ('or', ('telling-truth', 1), ('telling-truth', 0)), ('->', ('telling-truth', 1), ('lying', 3)), ('->', ('lying', 0), ('lying', 1)), ('or', ('telling-truth', 3), ('telling-truth', 2)))", "index": 450}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Ethan, Lily, Luke, Emily, and Michael. \"Michael is a knight or Luke is a knave,\" Ethan claimed. \"Lily is a knight or Emily is a knight,\" Lily mentioned. \"Ethan is a knave if and only if Michael is a knave\" - Luke. As Emily put it, \"Ethan is a knight or Luke is a knight\". Michael said that Luke is not a knight. So who is a knight and who is a knave?", "names": ["Ethan", "Lily", "Luke", "Emily", "Michael"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, false], "solution_text": "Ethan is a knave, Lily is a knight, Luke is a knight, Emily is a knight, and Michael is a knave.", "solution_text_format": "(1) Ethan is a knave\n(2) Lily is a knight\n(3) Luke is a knight\n(4) Emily is a knight\n(5) Michael is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ethan is a knight. No contradiction is found in their claim that Michael is a knight or Luke is a knave.", "Assume Michael is a knight. No contradiction is found in their claim that Luke is not a knight.", "Luke cannot be a knight, because this would contradict the claim of Michael that Luke is not a knight.", "Luke cannot be a knave, because this would contradict the false claim of their own that Ethan is a knave if and only if Michael is a knave.", "We have exhausted all possibilities for Luke, so let us go back and reconsider Michael.", "Assume Michael is a knave. No contradiction is found in their false claim that Luke is not a knight.", "Luke cannot be a knight, because this would contradict the claim of Ethan that Michael is a knight or Luke is a knave.", "Luke cannot be a knave, because this would contradict the false claim of Michael that Luke is not a knight.", "We have exhausted all possibilities for Luke and Michael, so let us go back and reconsider Ethan.", "Assume Ethan is a knave. No contradiction is found in their false claim that Michael is a knight or Luke is a knave.", "Michael cannot be a knight, because this would contradict the false claim of Ethan that Michael is a knight or Luke is a knave.", "Assume Michael is a knave. No contradiction is found in their false claim that Luke is not a knight.", "Assume Luke is a knight. No contradiction is found in their claim that Ethan is a knave if and only if Michael is a knave.", "Assume Lily is a knight. No contradiction is found in their claim that Lily is a knight or Emily is a knight.", "Assume Emily is a knight. No contradiction is found in their claim that Ethan is a knight or Luke is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 4), ('lying', 2)), ('or', ('telling-truth', 1), ('telling-truth', 3)), ('<=>', ('lying', 0), ('lying', 4)), ('or', ('telling-truth', 0), ('telling-truth', 2)), ('not', ('telling-truth', 2)))", "index": 451}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Joseph, Charlotte, Sebastian, Alexander, and Aurora. Joseph said that If Sebastian is a knight then Charlotte is a knight. Charlotte said that Aurora is a knave and Joseph is a knight. Sebastian said, \"Aurora is a knight and Charlotte is a knave.\" \"Alexander is a knight if and only if Charlotte is a knave,\" Alexander declared. \"Alexander is a knight and Sebastian is a knight,\" Aurora mentioned. So who is a knight and who is a knave?", "names": ["Joseph", "Charlotte", "Sebastian", "Alexander", "Aurora"], "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": "Joseph is a knave, Charlotte is a knave, Sebastian is a knight, Alexander is a knight, and Aurora is a knight.", "solution_text_format": "(1) Joseph is a knave\n(2) Charlotte is a knave\n(3) Sebastian is a knight\n(4) Alexander 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 Joseph is a knight. No contradiction is found in their claim that If Sebastian is a knight then Charlotte is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Aurora is a knight and Charlotte is a knave.", "Assume Aurora is a knight. No contradiction is found in their claim that Alexander is a knight and Sebastian is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that Alexander is a knight if and only if Charlotte is a knave.", "Charlotte cannot be a knight, because this would contradict the claim of their own that Aurora is a knave and Joseph is a knight.", "Charlotte cannot be a knave, because this would contradict the claim of Joseph that If Sebastian is a knight then Charlotte is a knight.", "We have exhausted all possibilities for Charlotte, so let us go back and reconsider Alexander.", "Alexander cannot be a knave, because this would contradict the claim of Aurora that Alexander is a knight and Sebastian is a knight.", "We have exhausted all possibilities for Alexander, so let us go back and reconsider Aurora.", "Aurora cannot be a knave, because this would contradict the claim of Sebastian that Aurora is a knight and Charlotte is a knave.", "We have exhausted all possibilities for Aurora, so let us go back and reconsider Sebastian.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Aurora is a knight and Charlotte is a knave.", "Aurora cannot be a knight, because this would contradict the claim of their own that Alexander is a knight and Sebastian is a knight.", "Assume Aurora is a knave. No contradiction is found in their false claim that Alexander is a knight and Sebastian is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that Alexander is a knight if and only if Charlotte is a knave.", "Charlotte cannot be a knight, because this would contradict the claim of Alexander that Alexander is a knight if and only if Charlotte is a knave.", "Charlotte cannot be a knave, because this would contradict the false claim of their own that Aurora is a knave and Joseph is a knight.", "We have exhausted all possibilities for Charlotte, so let us go back and reconsider Alexander.", "Assume Alexander is a knave. No contradiction is found in their false claim that Alexander is a knight if and only if Charlotte is a knave.", "Charlotte cannot be a knight, because this would contradict the false claim of Alexander that Alexander is a knight if and only if Charlotte is a knave.", "Charlotte cannot be a knave, because this would contradict the false claim of their own that Aurora is a knave and Joseph is a knight.", "We have exhausted all possibilities for Charlotte, Alexander, Aurora, and Sebastian, so let us go back and reconsider Joseph.", "Assume Joseph is a knave. No contradiction is found in their false claim that If Sebastian is a knight then Charlotte is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Aurora is a knight and Charlotte is a knave.", "Assume Aurora is a knight. No contradiction is found in their claim that Alexander is a knight and Sebastian is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that Alexander is a knight if and only if Charlotte is a knave.", "Charlotte cannot be a knight, because this would contradict the false claim of Joseph that If Sebastian is a knight then Charlotte is a knight.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Aurora is a knave and Joseph is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 2), ('telling-truth', 1)), ('and', ('lying', 4), ('telling-truth', 0)), ('and', ('telling-truth', 4), ('lying', 1)), ('<=>', ('telling-truth', 3), ('lying', 1)), ('and', ('telling-truth', 3), ('telling-truth', 2)))", "index": 452}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Ava, Scarlett, Matthew, Oliver, and Sofia. Ava commented, \"Oliver is a knight and Scarlett is a knave\". Scarlett said, \"Ava is not a knave.\" In Matthew's words: \"Sofia is a knight and Oliver is a knave\". Oliver expressed that Scarlett is a knave if and only if Sofia is a knight. Sofia told you that Ava is a knight and Scarlett is a knight. So who is a knight and who is a knave?", "names": ["Ava", "Scarlett", "Matthew", "Oliver", "Sofia"], "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": "Ava is a knave, Scarlett is a knave, Matthew is a knave, Oliver is a knave, and Sofia is a knave.", "solution_text_format": "(1) Ava is a knave\n(2) Scarlett is a knave\n(3) Matthew is a knave\n(4) Oliver is a knave\n(5) Sofia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ava is a knight. No contradiction is found in their claim that Oliver is a knight and Scarlett is a knave.", "Assume Oliver is a knight. No contradiction is found in their claim that Scarlett is a knave if and only if Sofia is a knight.", "Scarlett cannot be a knight, because this would contradict the claim of Ava that Oliver is a knight and Scarlett is a knave.", "Scarlett cannot be a knave, because this would contradict the false claim of their own that Ava is not a knave.", "We have exhausted all possibilities for Scarlett, so let us go back and reconsider Oliver.", "Oliver cannot be a knave, because this would contradict the claim of Ava that Oliver is a knight and Scarlett is a knave.", "We have exhausted all possibilities for Oliver, so let us go back and reconsider Ava.", "Assume Ava is a knave. No contradiction is found in their false claim that Oliver is a knight and Scarlett is a knave.", "Assume Oliver is a knight. No contradiction is found in their claim that Scarlett is a knave if and only if Sofia is a knight.", "Scarlett cannot be a knight, because this would contradict the claim of their own that Ava is not a knave.", "Scarlett cannot be a knave, because this would contradict the false claim of Ava that Oliver is a knight and Scarlett is a knave.", "We have exhausted all possibilities for Scarlett, so let us go back and reconsider Oliver.", "Assume Oliver is a knave. No contradiction is found in their false claim that Scarlett is a knave if and only if Sofia is a knight.", "Scarlett cannot be a knight, because this would contradict the claim of their own that Ava is not a knave.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Ava is not a knave.", "Sofia cannot be a knight, because this would contradict the false claim of Oliver that Scarlett is a knave if and only if Sofia is a knight.", "Assume Sofia is a knave. No contradiction is found in their false claim that Ava is a knight and Scarlett is a knight.", "Matthew cannot be a knight, because this would contradict the claim of their own that Sofia is a knight and Oliver is a knave.", "Assume Matthew is a knave. No contradiction is found in their false claim that Sofia is a knight and Oliver is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 3), ('lying', 1)), ('not', ('lying', 0)), ('and', ('telling-truth', 4), ('lying', 3)), ('<=>', ('lying', 1), ('telling-truth', 4)), ('and', ('telling-truth', 0), ('telling-truth', 1)))", "index": 453}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aria, Lucas, Jackson, Ethan, and Henry. Aria asserted: \"Henry is a knight and Henry is a knave\". Lucas remarked, \"If Jackson is a knave then Henry is a knight\". Jackson asserted: \"Lucas is a knight if and only if Aria is a knave\". \"Henry is a knight or Jackson is a knave,\" Ethan mentioned. \"Jackson is a knight or Jackson is a knave,\" Henry claimed. So who is a knight and who is a knave?", "names": ["Aria", "Lucas", "Jackson", "Ethan", "Henry"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, true], "solution_text": "Aria is a knave, Lucas is a knight, Jackson is a knight, Ethan is a knight, and Henry is a knight.", "solution_text_format": "(1) Aria is a knave\n(2) Lucas is a knight\n(3) Jackson is a knight\n(4) Ethan is a knight\n(5) Henry is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Aria cannot be a knight, because this would contradict the claim of their own that Henry is a knight and Henry is a knave.", "Assume Aria is a knave. No contradiction is found in their false claim that Henry is a knight and Henry is a knave.", "Assume Henry is a knight. No contradiction is found in their claim that Jackson is a knight or Jackson is a knave.", "Assume Jackson is a knight. No contradiction is found in their claim that Lucas is a knight if and only if Aria is a knave.", "Assume Lucas is a knight. No contradiction is found in their claim that If Jackson is a knave then Henry is a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that Henry is a knight or Jackson is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 4), ('lying', 4)), ('->', ('lying', 2), ('telling-truth', 4)), ('<=>', ('telling-truth', 1), ('lying', 0)), ('or', ('telling-truth', 4), ('lying', 2)), ('or', ('telling-truth', 2), ('lying', 2)))", "index": 454}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Logan, Aurora, Victoria, Avery, and Scarlett. Logan said, \"Avery is a knight or Aurora is a knight.\" \"Scarlett is a knight,\" Aurora declared. Victoria expressed that Logan is not a knave. \"Scarlett is a knight or Avery is a knight\" - Avery. \"Avery is a knave or Logan is a knight,\" Scarlett claimed. So who is a knight and who is a knave?", "names": ["Logan", "Aurora", "Victoria", "Avery", "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": "Logan is a knight, Aurora is a knight, Victoria is a knight, Avery is a knight, and Scarlett is a knight.", "solution_text_format": "(1) Logan is a knight\n(2) Aurora is a knight\n(3) Victoria is a knight\n(4) Avery 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 Logan is a knight. No contradiction is found in their claim that Avery is a knight or Aurora is a knight.", "Assume Avery is a knight. No contradiction is found in their claim that Scarlett is a knight or Avery is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that Avery is a knave or Logan is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that Scarlett is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that Logan is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 3), ('telling-truth', 1)), ('telling-truth', 4), ('not', ('lying', 0)), ('or', ('telling-truth', 4), ('telling-truth', 3)), ('or', ('lying', 3), ('telling-truth', 0)))", "index": 455}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Sophia, Mia, Owen, Liam, and Luke. Sophia asserted: \"Luke is a knave if and only if Owen is a knight\". \"Liam is a knight or Sophia is a knight,\" Mia mentioned. In a statement by Owen: \"Sophia is a knave or Sophia is a knight\". Liam said, \"Owen is a knight and Sophia is a knave.\" Luke was heard saying, \"Owen is a knight or Liam is a knight\". So who is a knight and who is a knave?", "names": ["Sophia", "Mia", "Owen", "Liam", "Luke"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, true], "solution_text": "Sophia is a knave, Mia is a knight, Owen is a knight, Liam is a knight, and Luke is a knight.", "solution_text_format": "(1) Sophia is a knave\n(2) Mia is a knight\n(3) Owen is a knight\n(4) Liam 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 Sophia is a knight. No contradiction is found in their claim that Luke is a knave if and only if Owen is a knight.", "Assume Luke is a knight. No contradiction is found in their claim that Owen is a knight or Liam is a knight.", "Owen cannot be a knight, because this would contradict the claim of Sophia that Luke is a knave if and only if Owen is a knight.", "Owen cannot be a knave, because this would contradict the false claim of their own that Sophia is a knave or Sophia is a knight.", "We have exhausted all possibilities for Owen, so let us go back and reconsider Luke.", "Assume Luke is a knave. No contradiction is found in their false claim that Owen is a knight or Liam is a knight.", "Owen cannot be a knight, because this would contradict the false claim of Luke that Owen is a knight or Liam is a knight.", "Owen cannot be a knave, because this would contradict the claim of Sophia that Luke is a knave if and only if Owen is a knight.", "We have exhausted all possibilities for Owen and Luke, so let us go back and reconsider Sophia.", "Assume Sophia is a knave. No contradiction is found in their false claim that Luke is a knave if and only if Owen is a knight.", "Assume Luke is a knight. No contradiction is found in their claim that Owen is a knight or Liam is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that Sophia is a knave or Sophia is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that Owen is a knight and Sophia is a knave.", "Assume Mia is a knight. No contradiction is found in their claim that Liam is a knight or Sophia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 4), ('telling-truth', 2)), ('or', ('telling-truth', 3), ('telling-truth', 0)), ('or', ('lying', 0), ('telling-truth', 0)), ('and', ('telling-truth', 2), ('lying', 0)), ('or', ('telling-truth', 2), ('telling-truth', 3)))", "index": 456}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Oliver, Grace, Logan, Chloe, and Jacob. Oliver stated, \"Oliver is a knight if and only if Grace is a knight\". According to Grace, \"Logan is a knight\". Logan remarked, \"If Oliver is a knave then Jacob is a knight\". In a statement by Chloe: \"Oliver is a knave\". Jacob was heard saying, \"Oliver is a knight if and only if Chloe is a knight\". So who is a knight and who is a knave?", "names": ["Oliver", "Grace", "Logan", "Chloe", "Jacob"], "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": "Oliver is a knight, Grace is a knight, Logan is a knight, Chloe is a knave, and Jacob is a knave.", "solution_text_format": "(1) Oliver is a knight\n(2) Grace is a knight\n(3) Logan is a knight\n(4) Chloe is a knave\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 Oliver is a knight. No contradiction is found in their claim that Oliver is a knight if and only if Grace is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that Logan is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that If Oliver is a knave then Jacob is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that Oliver is a knight if and only if Chloe is a knight.", "Chloe cannot be a knight, because this would contradict the claim of their own that Oliver is a knave.", "Chloe cannot be a knave, because this would contradict the claim of Jacob that Oliver is a knight if and only if Chloe is a knight.", "We have exhausted all possibilities for Chloe, so let us go back and reconsider Jacob.", "Assume Jacob is a knave. No contradiction is found in their false claim that Oliver is a knight if and only if Chloe is a knight.", "Chloe cannot be a knight, because this would contradict the claim of their own that Oliver is a knave.", "Assume Chloe is a knave. No contradiction is found in their false claim that Oliver is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 0), ('telling-truth', 1)), ('telling-truth', 2), ('->', ('lying', 0), ('telling-truth', 4)), ('lying', 0), ('<=>', ('telling-truth', 0), ('telling-truth', 3)))", "index": 457}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Michael, Oliver, Logan, Owen, and Olivia. According to Michael, \"Oliver is a knave and Logan is a knight\". Oliver stated, \"If Oliver is a knight then Logan is a knave\". As Logan put it, \"Olivia is a knight\". \"If Olivia is a knave then Michael is a knight,\" Owen mentioned. Olivia said that Logan is a knight or Olivia is a knight. So who is a knight and who is a knave?", "names": ["Michael", "Oliver", "Logan", "Owen", "Olivia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false, false], "solution_text": "Michael is a knave, Oliver is a knight, Logan is a knave, Owen is a knave, and Olivia is a knave.", "solution_text_format": "(1) Michael is a knave\n(2) Oliver is a knight\n(3) Logan is a knave\n(4) Owen is a knave\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 Michael is a knight. No contradiction is found in their claim that Oliver is a knave and Logan is a knight.", "Oliver cannot be a knight, because this would contradict the claim of Michael that Oliver is a knave and Logan is a knight.", "Oliver cannot be a knave, because this would contradict the false claim of their own that If Oliver is a knight then Logan is a knave.", "We have exhausted all possibilities for Oliver, so let us go back and reconsider Michael.", "Assume Michael is a knave. No contradiction is found in their false claim that Oliver is a knave and Logan is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that If Oliver is a knight then Logan is a knave.", "Logan cannot be a knight, because this would contradict the claim of Oliver that If Oliver is a knight then Logan is a knave.", "Assume Logan is a knave. No contradiction is found in their false claim that Olivia is a knight.", "Olivia cannot be a knight, because this would contradict the false claim of Logan that Olivia is a knight.", "Assume Olivia is a knave. No contradiction is found in their false claim that Logan is a knight or Olivia is a knight.", "Owen cannot be a knight, because this would contradict the claim of their own that If Olivia is a knave then Michael is a knight.", "Assume Owen is a knave. No contradiction is found in their false claim that If Olivia is a knave then Michael is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('telling-truth', 2)), ('->', ('telling-truth', 1), ('lying', 2)), ('telling-truth', 4), ('->', ('lying', 4), ('telling-truth', 0)), ('or', ('telling-truth', 2), ('telling-truth', 4)))", "index": 458}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Daniel, Evelyn, Samuel, Olivia, and Jack. Daniel said, \"Samuel is a knight and Evelyn is a knave.\" In Evelyn's words: \"Olivia is a knave\". Samuel was heard saying, \"Evelyn is a knave\". Olivia was heard saying, \"Jack is a knight if and only if Olivia is a knight\". Jack said, \"Samuel is not a knight.\" So who is a knight and who is a knave?", "names": ["Daniel", "Evelyn", "Samuel", "Olivia", "Jack"], "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": "Daniel is a knave, Evelyn is a knight, Samuel is a knave, Olivia is a knave, and Jack is a knight.", "solution_text_format": "(1) Daniel is a knave\n(2) Evelyn is a knight\n(3) Samuel is a knave\n(4) Olivia is a knave\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 Daniel is a knight. No contradiction is found in their claim that Samuel is a knight and Evelyn is a knave.", "Assume Samuel is a knight. No contradiction is found in their claim that Evelyn is a knave.", "Evelyn cannot be a knight, because this would contradict the claim of Daniel that Samuel is a knight and Evelyn is a knave.", "Assume Evelyn 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 Jack is a knight if and only if Olivia is a knight.", "Jack cannot be a knight, because this would contradict the claim of their own that Samuel is not a knight.", "Jack cannot be a knave, because this would contradict the claim of Olivia that Jack is a knight if and only if Olivia is a knight.", "We have exhausted all possibilities for Jack, so let us go back and reconsider Olivia.", "Olivia cannot be a knave, because this would contradict the false claim of Evelyn that Olivia is a knave.", "We have exhausted all possibilities for Olivia and Evelyn, so let us go back and reconsider Samuel.", "Samuel cannot be a knave, because this would contradict the claim of Daniel that Samuel is a knight and Evelyn is a knave.", "We have exhausted all possibilities for Samuel, so let us go back and reconsider Daniel.", "Assume Daniel is a knave. No contradiction is found in their false claim that Samuel is a knight and Evelyn is a knave.", "Assume Samuel is a knight. No contradiction is found in their claim that Evelyn is a knave.", "Evelyn cannot be a knight, because this would contradict the claim of Samuel that Evelyn is a knave.", "Evelyn cannot be a knave, because this would contradict the false claim of Daniel that Samuel is a knight and Evelyn is a knave.", "We have exhausted all possibilities for Evelyn, so let us go back and reconsider Samuel.", "Assume Samuel is a knave. No contradiction is found in their false claim that Evelyn is a knave.", "Assume Evelyn 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 Evelyn that Olivia is a knave.", "Assume Olivia is a knave. No contradiction is found in their false claim that Jack is a knight if and only if Olivia is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that Samuel is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 2), ('lying', 1)), ('lying', 3), ('lying', 1), ('<=>', ('telling-truth', 4), ('telling-truth', 3)), ('not', ('telling-truth', 2)))", "index": 459}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Logan, Samuel, Isabella, William, and Victoria. \"If Victoria is a knight then Isabella is a knave,\" Logan declared. \"William is a knave if and only if Logan is a knave,\" Samuel mentioned. Isabella stated, \"Victoria is not a knight\". \"If Victoria is a knave then Logan is a knave\" - William. Victoria said, \"Logan is a knave.\" So who is a knight and who is a knave?", "names": ["Logan", "Samuel", "Isabella", "William", "Victoria"], "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": "Logan is a knight, Samuel is a knave, Isabella is a knight, William is a knave, and Victoria is a knave.", "solution_text_format": "(1) Logan is a knight\n(2) Samuel is a knave\n(3) Isabella is a knight\n(4) William is a knave\n(5) Victoria is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Logan is a knight. No contradiction is found in their claim that If Victoria is a knight then Isabella is a knave.", "Victoria cannot be a knight, because this would contradict the claim of their own that Logan is a knave.", "Assume Victoria is a knave. No contradiction is found in their false claim that Logan is a knave.", "Assume Isabella is a knight. No contradiction is found in their claim that Victoria is not a knight.", "Assume Samuel is a knight. No contradiction is found in their claim that William is a knave if and only if Logan is a knave.", "William cannot be a knight, because this would contradict the claim of their own that If Victoria is a knave then Logan is a knave.", "William cannot be a knave, because this would contradict the claim of Samuel that William is a knave if and only if Logan is a knave.", "We have exhausted all possibilities for William, so let us go back and reconsider Samuel.", "Assume Samuel is a knave. No contradiction is found in their false claim that William is a knave if and only if Logan is a knave.", "William cannot be a knight, because this would contradict the false claim of Samuel that William is a knave if and only if Logan is a knave.", "Assume William is a knave. No contradiction is found in their false claim that If Victoria is a knave then Logan is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 4), ('lying', 2)), ('<=>', ('lying', 3), ('lying', 0)), ('not', ('telling-truth', 4)), ('->', ('lying', 4), ('lying', 0)), ('lying', 0))", "index": 460}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Ethan, Logan, Harper, Penelope, and Owen. Ethan commented, \"Harper is not a knight\". In Logan's words: \"Harper is a knave or Harper is a knight\". Harper noted, \"If Logan is a knave then Owen is a knave\". As Penelope put it, \"Harper is a knight if and only if Logan is a knight\". Owen told you that If Logan is a knight then Ethan is a knight. So who is a knight and who is a knave?", "names": ["Ethan", "Logan", "Harper", "Penelope", "Owen"], "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": "Ethan is a knave, Logan is a knight, Harper is a knight, Penelope is a knight, and Owen is a knave.", "solution_text_format": "(1) Ethan is a knave\n(2) Logan is a knight\n(3) Harper is a knight\n(4) Penelope is a knight\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 Ethan 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 Ethan that Harper is not a knight.", "Assume Harper is a knave. No contradiction is found in their false claim that If Logan is a knave then Owen is a knave.", "Logan cannot be a knight, because this would contradict the false claim of Harper that If Logan is a knave then Owen is a knave.", "Logan cannot be a knave, because this would contradict the false claim of their own that Harper is a knave or Harper is a knight.", "We have exhausted all possibilities for Logan and Harper, so let us go back and reconsider Ethan.", "Assume Ethan is a knave. No contradiction is found in their false claim that Harper is not a knight.", "Assume Harper is a knight. No contradiction is found in their claim that If Logan is a knave then Owen is a knave.", "Assume Logan is a knight. No contradiction is found in their claim that Harper is a knave or Harper is a knight.", "Owen cannot be a knight, because this would contradict the claim of their own that If Logan is a knight then Ethan is a knight.", "Assume Owen is a knave. No contradiction is found in their false claim that If Logan is a knight then Ethan is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that Harper is a knight if and only if Logan is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 2)), ('or', ('lying', 2), ('telling-truth', 2)), ('->', ('lying', 1), ('lying', 4)), ('<=>', ('telling-truth', 2), ('telling-truth', 1)), ('->', ('telling-truth', 1), ('telling-truth', 0)))", "index": 461}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Joseph, James, Aiden, Abigail, and Oliver. Joseph remarked, \"James is a knave or Aiden is a knight\". In James's words: \"If Abigail is a knight then Oliver is a knave\". Aiden was heard saying, \"If James is a knave then Oliver is a knight\". \"Oliver is a knave if and only if Aiden is a knight,\" Abigail claimed. Oliver said that If James is a knave then Aiden is a knight. So who is a knight and who is a knave?", "names": ["Joseph", "James", "Aiden", "Abigail", "Oliver"], "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": "Joseph is a knight, James is a knight, Aiden is a knight, Abigail is a knave, and Oliver is a knight.", "solution_text_format": "(1) Joseph is a knight\n(2) James is a knight\n(3) Aiden is a knight\n(4) Abigail is a knave\n(5) Oliver is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Joseph is a knight. No contradiction is found in their claim that James is a knave or Aiden is a knight.", "Assume James is a knight. No contradiction is found in their claim that If Abigail is a knight then Oliver is a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that Oliver is a knave if and only if Aiden is a knight.", "Oliver cannot be a knight, because this would contradict the claim of James that If Abigail is a knight then Oliver is a knave.", "Oliver cannot be a knave, because this would contradict the false claim of their own that If James is a knave then Aiden is a knight.", "We have exhausted all possibilities for Oliver, so let us go back and reconsider Abigail.", "Assume Abigail is a knave. No contradiction is found in their false claim that Oliver is a knave if and only if Aiden is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that If James is a knave then Aiden is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that If James is a knave then Oliver is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('telling-truth', 2)), ('->', ('telling-truth', 3), ('lying', 4)), ('->', ('lying', 1), ('telling-truth', 4)), ('<=>', ('lying', 4), ('telling-truth', 2)), ('->', ('lying', 1), ('telling-truth', 2)))", "index": 462}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Mason, Henry, David, Chloe, and Scarlett. Mason expressed that Chloe is a knight if and only if David is a knave. \"Chloe is a knight and Chloe is a knave,\" Henry declared. \"Henry is a knight if and only if Mason is a knight,\" David mentioned. Chloe asserted: \"If Chloe is a knight then David is a knave\". In a statement by Scarlett: \"Mason is a knight\". So who is a knight and who is a knave?", "names": ["Mason", "Henry", "David", "Chloe", "Scarlett"], "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": "Mason is a knight, Henry is a knave, David is a knave, Chloe is a knight, and Scarlett is a knight.", "solution_text_format": "(1) Mason is a knight\n(2) Henry is a knave\n(3) David is a knave\n(4) Chloe 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 Mason is a knight. No contradiction is found in their claim that Chloe is a knight if and only if David is a knave.", "Assume Chloe is a knight. No contradiction is found in their claim that If Chloe is a knight then David is a knave.", "David cannot be a knight, because this would contradict the claim of Mason that Chloe 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 Henry is a knight if and only if Mason is a knight.", "Henry cannot be a knight, because this would contradict the claim of their own that Chloe is a knight and Chloe is a knave.", "Assume Henry is a knave. No contradiction is found in their false claim that Chloe is a knight and Chloe is a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that Mason is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 3), ('lying', 2)), ('and', ('telling-truth', 3), ('lying', 3)), ('<=>', ('telling-truth', 1), ('telling-truth', 0)), ('->', ('telling-truth', 3), ('lying', 2)), ('telling-truth', 0))", "index": 463}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Charlotte, Aria, Sebastian, Mia, and Noah. As Charlotte put it, \"Sebastian is a knight or Mia is a knight\". \"Mia is a knave\" - Aria. As Sebastian put it, \"Noah is a knave\". Mia asserted: \"Charlotte is not a knave\". Noah asserted: \"If Aria is a knave then Sebastian is a knight\". So who is a knight and who is a knave?", "names": ["Charlotte", "Aria", "Sebastian", "Mia", "Noah"], "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": "Charlotte is a knave, Aria is a knight, Sebastian is a knave, Mia is a knave, and Noah is a knight.", "solution_text_format": "(1) Charlotte is a knave\n(2) Aria is a knight\n(3) Sebastian is a knave\n(4) Mia 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 Charlotte is a knight. No contradiction is found in their claim that Sebastian is a knight or Mia is a knight.", "Assume Sebastian 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 Sebastian that Noah is a knave.", "Noah cannot be a knave, because this would contradict the false claim of their own that If Aria is a knave then Sebastian is a knight.", "We have exhausted all possibilities for Noah, so let us go back and reconsider Sebastian.", "Assume Sebastian 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 If Aria is a knave then Sebastian is a knight.", "Assume Aria is a knight. No contradiction is found in their claim that Mia is a knave.", "Mia cannot be a knight, because this would contradict the claim of Aria that Mia is a knave.", "Mia cannot be a knave, because this would contradict the claim of Charlotte that Sebastian is a knight or Mia is a knight.", "We have exhausted all possibilities for Mia, so let us go back and reconsider Aria.", "Aria cannot be a knave, because this would contradict the claim of Noah that If Aria is a knave then Sebastian is a knight.", "We have exhausted all possibilities for Aria, so let us go back and reconsider Noah.", "Noah cannot be a knave, because this would contradict the false claim of Sebastian that Noah is a knave.", "We have exhausted all possibilities for Noah and Sebastian, so let us go back and reconsider Charlotte.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Sebastian is a knight or Mia is a knight.", "Sebastian cannot be a knight, because this would contradict the false claim of Charlotte that Sebastian is a knight or Mia is a knight.", "Assume Sebastian 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 If Aria is a knave then Sebastian is a knight.", "Assume Aria is a knight. No contradiction is found in their claim that Mia is a knave.", "Mia cannot be a knight, because this would contradict the false claim of Charlotte that Sebastian is a knight or Mia is a knight.", "Assume Mia 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": "(('or', ('telling-truth', 2), ('telling-truth', 3)), ('lying', 3), ('lying', 4), ('not', ('lying', 0)), ('->', ('lying', 1), ('telling-truth', 2)))", "index": 464}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aria, Avery, Mia, Mason, and William. Aria told you that Mia is a knave if and only if Mia is a knight. \"If Aria is a knight then Mia is a knave\" - Avery. As Mia put it, \"Mia is a knight and Mason is a knight\". \"Avery is not a knight\" - Mason. William asserted: \"Mia is a knight and Mason is a knave\". So who is a knight and who is a knave?", "names": ["Aria", "Avery", "Mia", "Mason", "William"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false, false], "solution_text": "Aria is a knave, Avery is a knight, Mia is a knave, Mason is a knave, and William is a knave.", "solution_text_format": "(1) Aria is a knave\n(2) Avery is a knight\n(3) Mia is a knave\n(4) Mason is a knave\n(5) 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": ["Aria 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 Aria is a knave. No contradiction is found in their false claim that Mia is a knave if and only if Mia is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that Mia is a knight and Mason is a knight.", "Assume Mason 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 Mason that Avery is not a knight.", "Avery cannot be a knave, because this would contradict the false claim of their own that If Aria is a knight then Mia is a knave.", "We have exhausted all possibilities for Avery, so let us go back and reconsider Mason.", "Mason cannot be a knave, because this would contradict the claim of Mia that Mia is a knight and Mason is a knight.", "We have exhausted all possibilities for Mason, 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 Mason is a knight.", "Assume Mason 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 Mason that Avery is not a knight.", "Avery cannot be a knave, because this would contradict the false claim of their own that If Aria is a knight then Mia is a knave.", "We have exhausted all possibilities for Avery, so let us go back and reconsider Mason.", "Assume Mason is a knave. No contradiction is found in their false claim that Avery is not a knight.", "Assume Avery is a knight. No contradiction is found in their claim that If Aria is a knight then Mia is a knave.", "William cannot be a knight, because this would contradict the claim of their own that Mia is a knight and Mason is a knave.", "Assume William is a knave. No contradiction is found in their false claim that Mia is a knight and Mason is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 2), ('telling-truth', 2)), ('->', ('telling-truth', 0), ('lying', 2)), ('and', ('telling-truth', 2), ('telling-truth', 3)), ('not', ('telling-truth', 1)), ('and', ('telling-truth', 2), ('lying', 3)))", "index": 465}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Daniel, Ava, Chloe, Emma, and Matthew. Daniel said that If Matthew is a knave then Chloe is a knight. Ava remarked, \"Emma is a knave\". In a statement by Chloe: \"Ava is a knave\". Emma asserted: \"Ava is a knight or Matthew is a knight\". Matthew told you that Matthew is a knight and Ava is a knave. So who is a knight and who is a knave?", "names": ["Daniel", "Ava", "Chloe", "Emma", "Matthew"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, true], "solution_text": "Daniel is a knight, Ava is a knave, Chloe is a knight, Emma is a knight, and Matthew is a knight.", "solution_text_format": "(1) Daniel is a knight\n(2) Ava is a knave\n(3) Chloe is a knight\n(4) Emma 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 Daniel is a knight. No contradiction is found in their claim that If Matthew is a knave then Chloe is a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that Matthew is a knight and Ava is a knave.", "Ava cannot be a knight, because this would contradict the claim of Matthew that Matthew is a knight and Ava is a knave.", "Assume Ava is a knave. No contradiction is found in their false claim that Emma is a knave.", "Assume Emma is a knight. No contradiction is found in their claim that Ava is a knight or Matthew is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that Ava is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 4), ('telling-truth', 2)), ('lying', 3), ('lying', 1), ('or', ('telling-truth', 1), ('telling-truth', 4)), ('and', ('telling-truth', 4), ('lying', 1)))", "index": 466}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Matthew, Ava, Aria, Alexander, and Lucas. Matthew commented, \"Ava is a knave if and only if Lucas is a knight\". \"Aria is not a knave,\" Ava declared. Aria told you that Lucas is a knight and Alexander is a knight. According to Alexander, \"Ava is a knave or Matthew is a knave\". Lucas remarked, \"Alexander is a knave\". So who is a knight and who is a knave?", "names": ["Matthew", "Ava", "Aria", "Alexander", "Lucas"], "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": "Matthew is a knave, Ava is a knave, Aria is a knave, Alexander is a knight, and Lucas is a knave.", "solution_text_format": "(1) Matthew is a knave\n(2) Ava is a knave\n(3) Aria is a knave\n(4) Alexander 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 Matthew is a knight. No contradiction is found in their claim that Ava is a knave if and only if Lucas is a knight.", "Assume Ava is a knight. No contradiction is found in their claim that Aria is not a knave.", "Assume Aria is a knight. No contradiction is found in their claim that Lucas is a knight and Alexander is a knight.", "Lucas cannot be a knight, because this would contradict the claim of Matthew that Ava is a knave if and only if Lucas is a knight.", "Lucas cannot be a knave, because this would contradict the claim of Aria that Lucas is a knight and Alexander is a knight.", "We have exhausted all possibilities for Lucas, so let us go back and reconsider Aria.", "Aria cannot be a knave, because this would contradict the claim of Ava that Aria is not a knave.", "We have exhausted all possibilities for Aria, so let us go back and reconsider Ava.", "Assume Ava is a knave. No contradiction is found in their false claim that Aria is not a knave.", "Aria cannot be a knight, because this would contradict the false claim of Ava that Aria is not a knave.", "Assume Aria is a knave. No contradiction is found in their false claim that Lucas is a knight and Alexander is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that Alexander is a knave.", "Alexander cannot be a knight, because this would contradict the false claim of Aria that Lucas is a knight and Alexander is a knight.", "Alexander cannot be a knave, because this would contradict the false claim of their own that Ava is a knave or Matthew is a knave.", "We have exhausted all possibilities for Alexander, so let us go back and reconsider Lucas.", "Lucas cannot be a knave, because this would contradict the claim of Matthew that Ava is a knave if and only if Lucas is a knight.", "We have exhausted all possibilities for Lucas, Aria, and Ava, so let us go back and reconsider Matthew.", "Assume Matthew is a knave. No contradiction is found in their false claim that Ava is a knave if and only if Lucas is a knight.", "Assume Ava is a knight. No contradiction is found in their claim that Aria is not a knave.", "Assume Aria is a knight. No contradiction is found in their claim that Lucas is a knight and Alexander is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that Alexander is a knave.", "Alexander cannot be a knight, because this would contradict the claim of Lucas that Alexander is a knave.", "Alexander cannot be a knave, because this would contradict the claim of Aria that Lucas is a knight and Alexander is a knight.", "We have exhausted all possibilities for Alexander, so let us go back and reconsider Lucas.", "Lucas cannot be a knave, because this would contradict the false claim of Matthew that Ava is a knave if and only if Lucas is a knight.", "We have exhausted all possibilities for Lucas, so let us go back and reconsider Aria.", "Aria cannot be a knave, because this would contradict the claim of Ava that Aria is not a knave.", "We have exhausted all possibilities for Aria, so let us go back and reconsider Ava.", "Assume Ava is a knave. No contradiction is found in their false claim that Aria is not a knave.", "Aria cannot be a knight, because this would contradict the false claim of Ava that Aria is not a knave.", "Assume Aria is a knave. No contradiction is found in their false claim that Lucas is a knight and Alexander is a knight.", "Lucas cannot be a knight, because this would contradict the false claim of Matthew that Ava is a knave if and only if Lucas is a knight.", "Assume Lucas is a knave. No contradiction is found in their false claim that Alexander is a knave.", "Assume Alexander is a knight. No contradiction is found in their claim that Ava is a knave or Matthew is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('telling-truth', 4)), ('not', ('lying', 2)), ('and', ('telling-truth', 4), ('telling-truth', 3)), ('or', ('lying', 1), ('lying', 0)), ('lying', 3))", "index": 467}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: William, Scarlett, Olivia, Lily, and Amelia. William stated, \"Scarlett is a knave or William is a knight\". Scarlett remarked, \"William is not a knave\". According to Olivia, \"Scarlett is not a knight\". \"If Amelia is a knight then Olivia is a knave,\" Lily declared. According to Amelia, \"If Scarlett is a knight then Olivia is a knave\". So who is a knight and who is a knave?", "names": ["William", "Scarlett", "Olivia", "Lily", "Amelia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true, true], "solution_text": "William is a knight, Scarlett is a knight, Olivia is a knave, Lily is a knight, and Amelia is a knight.", "solution_text_format": "(1) William is a knight\n(2) Scarlett is a knight\n(3) Olivia is a knave\n(4) Lily is a knight\n(5) Amelia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume William is a knight. No contradiction is found in their claim that Scarlett is a knave or William is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that William is not a knave.", "Olivia cannot be a knight, because this would contradict the claim of their own that Scarlett is not a knight.", "Assume Olivia is a knave. No contradiction is found in their false claim that Scarlett is not a knight.", "Assume Lily is a knight. No contradiction is found in their claim that If Amelia is a knight then Olivia is a knave.", "Assume Amelia is a knight. No contradiction is found in their claim that If Scarlett is a knight then Olivia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('telling-truth', 0)), ('not', ('lying', 0)), ('not', ('telling-truth', 1)), ('->', ('telling-truth', 4), ('lying', 2)), ('->', ('telling-truth', 1), ('lying', 2)))", "index": 468}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Alexander, Joseph, Oliver, Chloe, and Avery. According to Alexander, \"Avery is a knave if and only if Joseph is a knight\". \"Chloe is a knave,\" Joseph declared. Oliver commented, \"Joseph is a knight and Avery is a knave\". Chloe commented, \"If Oliver is a knave then Avery is a knight\". As Avery put it, \"If Oliver is a knight then Alexander is a knave\". So who is a knight and who is a knave?", "names": ["Alexander", "Joseph", "Oliver", "Chloe", "Avery"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, true], "solution_text": "Alexander is a knight, Joseph is a knave, Oliver is a knave, Chloe is a knight, and Avery is a knight.", "solution_text_format": "(1) Alexander is a knight\n(2) Joseph is a knave\n(3) Oliver is a knave\n(4) Chloe is a knight\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 Alexander is a knight. No contradiction is found in their claim that Avery is a knave if and only if Joseph is a knight.", "Assume Avery is a knight. No contradiction is found in their claim that If Oliver is a knight then Alexander is a knave.", "Oliver cannot be a knight, because this would contradict the claim of their own that Joseph is a knight and Avery is a knave.", "Assume Oliver is a knave. No contradiction is found in their false claim that Joseph is a knight and Avery is a knave.", "Joseph cannot be a knight, because this would contradict the claim of Alexander that Avery is a knave if and only if Joseph is a knight.", "Assume Joseph is a knave. No contradiction is found in their false claim that Chloe is a knave.", "Assume Chloe is a knight. No contradiction is found in their claim that If Oliver is a knave then Avery is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 4), ('telling-truth', 1)), ('lying', 3), ('and', ('telling-truth', 1), ('lying', 4)), ('->', ('lying', 2), ('telling-truth', 4)), ('->', ('telling-truth', 2), ('lying', 0)))", "index": 469}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Jacob, Joseph, Emma, Emily, and David. Jacob said that If Emma is a knight then Emma is a knave. Joseph said that Jacob is a knave if and only if David is a knave. \"David is not a knight,\" Emma declared. \"David is a knight or Emily is a knight,\" Emily declared. In David's words: \"Emily is not a knight\". So who is a knight and who is a knave?", "names": ["Jacob", "Joseph", "Emma", "Emily", "David"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, false], "solution_text": "Jacob is a knave, Joseph is a knight, Emma is a knight, Emily is a knight, and David is a knave.", "solution_text_format": "(1) Jacob is a knave\n(2) Joseph is a knight\n(3) Emma is a knight\n(4) Emily is a knight\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 Jacob is a knight. No contradiction is found in their claim that If Emma is a knight then Emma is a knave.", "Emma cannot be a knight, because this would contradict the claim of Jacob that If Emma is a knight then Emma is a knave.", "Assume Emma is a knave. No contradiction is found in their false claim that David is not a knight.", "Assume David is a knight. No contradiction is found in their claim that Emily is not a knight.", "Emily cannot be a knight, because this would contradict the claim of David that Emily is not a knight.", "Emily cannot be a knave, because this would contradict the false claim of their own that David is a knight or Emily is a knight.", "We have exhausted all possibilities for Emily, so let us go back and reconsider David.", "David cannot be a knave, because this would contradict the false claim of Emma that David is not a knight.", "We have exhausted all possibilities for David and Emma, so let us go back and reconsider Jacob.", "Assume Jacob is a knave. No contradiction is found in their false claim that If Emma is a knight then Emma is a knave.", "Assume Emma is a knight. No contradiction is found in their claim that David is not a knight.", "David cannot be a knight, because this would contradict the claim of Emma that David is not a knight.", "Assume David is a knave. No contradiction is found in their false claim that Emily is not a knight.", "Assume Emily is a knight. No contradiction is found in their claim that David is a knight or Emily is a knight.", "Assume Joseph is a knight. No contradiction is found in their claim that Jacob is a knave if and only if David is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 2), ('lying', 2)), ('<=>', ('lying', 0), ('lying', 4)), ('not', ('telling-truth', 4)), ('or', ('telling-truth', 4), ('telling-truth', 3)), ('not', ('telling-truth', 3)))", "index": 470}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Abigail, Oliver, Aria, Matthew, and Jacob. \"Matthew is a knight,\" Abigail claimed. \"Matthew is a knave,\" Oliver claimed. Aria was heard saying, \"Oliver is not a knight\". In Matthew's words: \"Jacob is a knight if and only if Oliver is a knight\". Jacob said, \"Matthew is not a knave.\" So who is a knight and who is a knave?", "names": ["Abigail", "Oliver", "Aria", "Matthew", "Jacob"], "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": "Abigail is a knave, Oliver is a knight, Aria is a knave, Matthew is a knave, and Jacob is a knave.", "solution_text_format": "(1) Abigail is a knave\n(2) Oliver is a knight\n(3) Aria is a knave\n(4) Matthew is a knave\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 Abigail 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 Jacob is a knight if and only if Oliver is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that Matthew is not a knave.", "Oliver cannot be a knight, because this would contradict the claim of their own that Matthew is a knave.", "Oliver cannot be a knave, because this would contradict the claim of Matthew that Jacob is a knight if and only if Oliver is a knight.", "We have exhausted all possibilities for Oliver, so let us go back and reconsider Jacob.", "Jacob cannot be a knave, because this would contradict the false claim of their own that Matthew is not a knave.", "We have exhausted all possibilities for Jacob, so let us go back and reconsider Matthew.", "Matthew cannot be a knave, because this would contradict the claim of Abigail that Matthew is a knight.", "We have exhausted all possibilities for Matthew, so let us go back and reconsider Abigail.", "Assume Abigail is a knave. No contradiction is found in their false claim that Matthew is a knight.", "Matthew cannot be a knight, because this would contradict the false claim of Abigail that Matthew is a knight.", "Assume Matthew is a knave. No contradiction is found in their false claim that Jacob is a knight if and only if Oliver is a knight.", "Jacob cannot be a knight, because this would contradict the claim of their own that Matthew is not a knave.", "Assume Jacob is a knave. No contradiction is found in their false claim that Matthew is not a knave.", "Assume Oliver is a knight. No contradiction is found in their claim that Matthew is a knave.", "Aria cannot be a knight, because this would contradict the claim of their own that Oliver is not a knight.", "Assume Aria is a knave. No contradiction is found in their false claim that Oliver is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 3), ('lying', 3), ('not', ('telling-truth', 1)), ('<=>', ('telling-truth', 4), ('telling-truth', 1)), ('not', ('lying', 3)))", "index": 471}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Matthew, Scarlett, Aurora, Charlotte, and Emma. In a statement by Matthew: \"If Matthew is a knight then Charlotte is a knight\". Scarlett told you that Emma is a knave or Matthew is a knight. Aurora said that If Scarlett is a knight then Matthew is a knight. Charlotte remarked, \"Matthew is a knight or Emma is a knave\". As Emma put it, \"Matthew is a knave if and only if Charlotte is a knight\". So who is a knight and who is a knave?", "names": ["Matthew", "Scarlett", "Aurora", "Charlotte", "Emma"], "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": "Matthew is a knight, Scarlett is a knight, Aurora is a knight, Charlotte is a knight, and Emma is a knave.", "solution_text_format": "(1) Matthew is a knight\n(2) Scarlett is a knight\n(3) Aurora is a knight\n(4) Charlotte 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 Matthew is a knight. No contradiction is found in their claim that If Matthew is a knight then Charlotte is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that Matthew is a knight or Emma is a knave.", "Emma cannot be a knight, because this would contradict the claim of their own that Matthew is a knave if and only if Charlotte is a knight.", "Assume Emma is a knave. No contradiction is found in their false claim that Matthew is a knave if and only if Charlotte is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that Emma is a knave or Matthew is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that If Scarlett is a knight then Matthew is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 0), ('telling-truth', 3)), ('or', ('lying', 4), ('telling-truth', 0)), ('->', ('telling-truth', 1), ('telling-truth', 0)), ('or', ('telling-truth', 0), ('lying', 4)), ('<=>', ('lying', 0), ('telling-truth', 3)))", "index": 472}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Emily, Luke, Isabella, Sebastian, and Matthew. Emily said, \"Isabella is a knave or Luke is a knave.\" Luke told you that Emily is a knave if and only if Sebastian is a knave. Isabella asserted: \"Matthew is a knave or Luke is a knave\". Sebastian asserted: \"If Luke is a knave then Matthew is a knave\". \"Luke is a knave,\" Matthew mentioned. So who is a knight and who is a knave?", "names": ["Emily", "Luke", "Isabella", "Sebastian", "Matthew"], "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": "Emily is a knight, Luke is a knave, Isabella is a knight, Sebastian is a knave, and Matthew is a knight.", "solution_text_format": "(1) Emily is a knight\n(2) Luke is a knave\n(3) Isabella is a knight\n(4) Sebastian is a knave\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 Emily is a knight. No contradiction is found in their claim that Isabella is a knave or Luke is a knave.", "Assume Isabella is a knight. No contradiction is found in their claim that Matthew is a knave or Luke is a knave.", "Assume Matthew 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 Emily that Isabella is a knave or Luke 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 Sebastian is a knave.", "Sebastian cannot be a knight, because this would contradict the false claim of Luke that Emily is a knave if and only if Sebastian is a knave.", "Assume Sebastian is a knave. No contradiction is found in their false claim that If Luke is a knave then Matthew is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 2), ('lying', 1)), ('<=>', ('lying', 0), ('lying', 3)), ('or', ('lying', 4), ('lying', 1)), ('->', ('lying', 1), ('lying', 4)), ('lying', 1))", "index": 473}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Charlotte, Chloe, Penelope, Evelyn, and Noah. \"Noah is a knight\" - Charlotte. \"Penelope is a knave or Charlotte is a knight,\" Chloe declared. In Penelope's words: \"Evelyn is a knave\". Evelyn said that Penelope is a knight or Penelope is a knave. Noah said that Evelyn is a knight or Charlotte is a knight. So who is a knight and who is a knave?", "names": ["Charlotte", "Chloe", "Penelope", "Evelyn", "Noah"], "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": "Charlotte is a knight, Chloe is a knight, Penelope is a knave, Evelyn is a knight, and Noah is a knight.", "solution_text_format": "(1) Charlotte is a knight\n(2) Chloe is a knight\n(3) Penelope is a knave\n(4) Evelyn is a knight\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 Charlotte 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 Evelyn is a knight or Charlotte is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that Penelope is a knight or Penelope is a knave.", "Penelope cannot be a knight, because this would contradict the claim of their own that Evelyn is a knave.", "Assume Penelope is a knave. No contradiction is found in their false claim that Evelyn is a knave.", "Assume Chloe is a knight. No contradiction is found in their claim that Penelope is a knave or Charlotte is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 4), ('or', ('lying', 2), ('telling-truth', 0)), ('lying', 3), ('or', ('telling-truth', 2), ('lying', 2)), ('or', ('telling-truth', 3), ('telling-truth', 0)))", "index": 474}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Olivia, Ethan, Noah, Sebastian, and Aria. Olivia stated, \"Noah is a knave or Ethan is a knight\". According to Ethan, \"If Sebastian is a knave then Aria is a knight\". Noah was heard saying, \"Olivia is a knave or Olivia is a knight\". According to Sebastian, \"Aria is not a knight\". Aria said that If Olivia is a knight then Ethan is a knave. So who is a knight and who is a knave?", "names": ["Olivia", "Ethan", "Noah", "Sebastian", "Aria"], "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": "Olivia is a knight, Ethan is a knight, Noah is a knight, Sebastian is a knight, and Aria is a knave.", "solution_text_format": "(1) Olivia is a knight\n(2) Ethan is a knight\n(3) Noah is a knight\n(4) Sebastian is a knight\n(5) Aria is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Olivia is a knight. No contradiction is found in their claim that Noah is a knave or Ethan is a knight.", "Assume Noah is a knight. No contradiction is found in their claim that Olivia is a knave or Olivia is a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that If Sebastian is a knave then Aria is a knight.", "Assume Sebastian 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 Sebastian that Aria is not a knight.", "Assume Aria is a knave. No contradiction is found in their false claim that If Olivia is a knight then Ethan is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 2), ('telling-truth', 1)), ('->', ('lying', 3), ('telling-truth', 4)), ('or', ('lying', 0), ('telling-truth', 0)), ('not', ('telling-truth', 4)), ('->', ('telling-truth', 0), ('lying', 1)))", "index": 475}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Ella, Aurora, Chloe, Mason, and Benjamin. Ella said that Mason is a knave or Aurora is a knave. Aurora said that Benjamin is not a knight. Chloe expressed that If Aurora is a knight then Mason is a knight. \"Aurora is not a knight\" - Mason. Benjamin remarked, \"If Mason is a knight then Benjamin is a knight\". So who is a knight and who is a knave?", "names": ["Ella", "Aurora", "Chloe", "Mason", "Benjamin"], "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": "Ella is a knight, Aurora is a knave, Chloe is a knight, Mason is a knight, and Benjamin is a knight.", "solution_text_format": "(1) Ella is a knight\n(2) Aurora is a knave\n(3) Chloe is a knight\n(4) Mason is a knight\n(5) 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 Ella is a knight. No contradiction is found in their claim that Mason is a knave or Aurora is a knave.", "Assume Mason is a knight. No contradiction is found in their claim that Aurora is not a knight.", "Aurora cannot be a knight, because this would contradict the claim of Ella that Mason is a knave or Aurora is a knave.", "Assume Aurora is a knave. No contradiction is found in their false claim that Benjamin is not a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that If Mason is a knight then Benjamin is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that If Aurora is a knight then Mason is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 3), ('lying', 1)), ('not', ('telling-truth', 4)), ('->', ('telling-truth', 1), ('telling-truth', 3)), ('not', ('telling-truth', 1)), ('->', ('telling-truth', 3), ('telling-truth', 4)))", "index": 476}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Matthew, Joseph, Evelyn, James, and Liam. Matthew told you that Liam is a knave and Evelyn is a knight. Joseph asserted: \"Liam is a knave or Matthew is a knight\". In a statement by Evelyn: \"James is a knave if and only if Matthew is a knight\". \"Evelyn is a knight\" - James. Liam asserted: \"Evelyn is a knave\". So who is a knight and who is a knave?", "names": ["Matthew", "Joseph", "Evelyn", "James", "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": "Matthew is a knave, Joseph is a knave, Evelyn is a knave, James is a knave, and Liam is a knight.", "solution_text_format": "(1) Matthew is a knave\n(2) Joseph is a knave\n(3) Evelyn is a knave\n(4) James 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 Matthew is a knight. No contradiction is found in their claim that Liam is a knave and Evelyn is a knight.", "Liam cannot be a knight, because this would contradict the claim of Matthew that Liam is a knave and Evelyn is a knight.", "Assume Liam is a knave. No contradiction is found in their false claim that Evelyn is a knave.", "Assume Evelyn is a knight. No contradiction is found in their claim that James is a knave if and only if Matthew is a knight.", "James cannot be a knight, because this would contradict the claim of Evelyn that James is a knave if and only if Matthew is a knight.", "James cannot be a knave, because this would contradict the false claim of their own that Evelyn is a knight.", "We have exhausted all possibilities for James, so let us go back and reconsider Evelyn.", "Evelyn cannot be a knave, because this would contradict the claim of Matthew that Liam is a knave and Evelyn is a knight.", "We have exhausted all possibilities for Evelyn and Liam, so let us go back and reconsider Matthew.", "Assume Matthew is a knave. No contradiction is found in their false claim that Liam is a knave and Evelyn is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that Evelyn is a knave.", "Evelyn cannot be a knight, because this would contradict the claim of Liam that Evelyn is a knave.", "Assume Evelyn is a knave. No contradiction is found in their false claim that James is a knave if and only if Matthew is a knight.", "James cannot be a knight, because this would contradict the false claim of Evelyn that James is a knave if and only if Matthew is a knight.", "Assume James is a knave. No contradiction is found in their false claim that Evelyn is a knight.", "Joseph cannot be a knight, because this would contradict the claim of their own that Liam is a knave or Matthew is a knight.", "Assume Joseph is a knave. No contradiction is found in their false claim that Liam is a knave or Matthew is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 4), ('telling-truth', 2)), ('or', ('lying', 4), ('telling-truth', 0)), ('<=>', ('lying', 3), ('telling-truth', 0)), ('telling-truth', 2), ('lying', 2))", "index": 477}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Emily, Evelyn, Abigail, Aria, and Joseph. Emily commented, \"Evelyn is a knave if and only if Abigail is a knave\". Evelyn remarked, \"Evelyn is a knight or Aria is a knight\". Abigail stated, \"Joseph is a knave or Aria is a knight\". Aria asserted: \"Evelyn is a knave and Joseph is a knave\". Joseph was heard saying, \"Evelyn is a knave or Emily is a knight\". So who is a knight and who is a knave?", "names": ["Emily", "Evelyn", "Abigail", "Aria", "Joseph"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false, true], "solution_text": "Emily is a knight, Evelyn is a knave, Abigail is a knave, Aria is a knave, and Joseph is a knight.", "solution_text_format": "(1) Emily is a knight\n(2) Evelyn is a knave\n(3) Abigail is a knave\n(4) Aria is a knave\n(5) Joseph is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Emily is a knight. No contradiction is found in their claim that Evelyn is a knave if and only if Abigail is a knave.", "Assume Evelyn is a knight. No contradiction is found in their claim that Evelyn is a knight or Aria is a knight.", "Aria cannot be a knight, because this would contradict the claim of their own that Evelyn is a knave and Joseph is a knave.", "Assume Aria is a knave. No contradiction is found in their false claim that Evelyn is a knave and Joseph is a knave.", "Assume Joseph is a knight. No contradiction is found in their claim that Evelyn is a knave or Emily is a knight.", "Abigail cannot be a knight, because this would contradict the claim of their own that Joseph is a knave or Aria is a knight.", "Abigail cannot be a knave, because this would contradict the claim of Emily that Evelyn is a knave if and only if Abigail is a knave.", "We have exhausted all possibilities for Abigail, so let us go back and reconsider Joseph.", "Joseph cannot be a knave, because this would contradict the false claim of their own that Evelyn is a knave or Emily is a knight.", "We have exhausted all possibilities for Joseph and Aria, so let us go back and reconsider Evelyn.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Evelyn is a knight or Aria is a knight.", "Aria cannot be a knight, because this would contradict the false claim of Evelyn that Evelyn is a knight or Aria is a knight.", "Assume Aria is a knave. No contradiction is found in their false claim that Evelyn is a knave and Joseph is a knave.", "Assume Joseph is a knight. No contradiction is found in their claim that Evelyn is a knave or Emily is a knight.", "Abigail cannot be a knight, because this would contradict the claim of Emily that Evelyn is a knave if and only if Abigail is a knave.", "Assume Abigail is a knave. No contradiction is found in their false claim that Joseph is a knave or Aria is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('lying', 2)), ('or', ('telling-truth', 1), ('telling-truth', 3)), ('or', ('lying', 4), ('telling-truth', 3)), ('and', ('lying', 1), ('lying', 4)), ('or', ('lying', 1), ('telling-truth', 0)))", "index": 478}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: William, Benjamin, Mason, Abigail, and Jacob. William said, \"William is a knight or Benjamin is a knave.\" \"Abigail is not a knight,\" Benjamin declared. \"If Abigail is a knight then William is a knight,\" Mason mentioned. Abigail was heard saying, \"If Mason is a knave then William is a knave\". \"William is a knave,\" Jacob declared. So who is a knight and who is a knave?", "names": ["William", "Benjamin", "Mason", "Abigail", "Jacob"], "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": "William is a knight, Benjamin is a knave, Mason is a knight, Abigail is a knight, and Jacob is a knave.", "solution_text_format": "(1) William is a knight\n(2) Benjamin is a knave\n(3) Mason is a knight\n(4) Abigail 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 William is a knight. No contradiction is found in their claim that William is a knight or Benjamin is a knave.", "Assume Benjamin 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 Benjamin that Abigail is not a knight.", "Assume Abigail is a knave. No contradiction is found in their false claim that If Mason is a knave then William is a knave.", "Mason cannot be a knight, because this would contradict the false claim of Abigail that If Mason is a knave then William is a knave.", "Mason cannot be a knave, because this would contradict the false claim of their own that If Abigail is a knight then William is a knight.", "We have exhausted all possibilities for Mason and Abigail, so let us go back and reconsider Benjamin.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Abigail is not a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that If Mason is a knave then William is a knave.", "Assume Mason is a knight. No contradiction is found in their claim that If Abigail is a knight then William is a knight.", "Jacob cannot be a knight, because this would contradict the claim of their own that William is a knave.", "Assume Jacob is a knave. No contradiction is found in their false claim that William is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 0), ('lying', 1)), ('not', ('telling-truth', 3)), ('->', ('telling-truth', 3), ('telling-truth', 0)), ('->', ('lying', 2), ('lying', 0)), ('lying', 0))", "index": 479}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Ava, Lucas, Luke, Ethan, and Olivia. Ava said, \"Olivia is a knight or Luke is a knight.\" Lucas said that If Ethan is a knight then Luke is a knave. Luke stated, \"Olivia is a knight or Ethan is a knave\". As Ethan put it, \"Luke is a knave if and only if Ava is a knight\". Olivia expressed that If Luke is a knight then Ava is a knight. So who is a knight and who is a knave?", "names": ["Ava", "Lucas", "Luke", "Ethan", "Olivia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false, true], "solution_text": "Ava is a knight, Lucas is a knight, Luke is a knight, Ethan is a knave, and Olivia is a knight.", "solution_text_format": "(1) Ava is a knight\n(2) Lucas is a knight\n(3) Luke is a knight\n(4) Ethan is a knave\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 Ava is a knight. No contradiction is found in their claim that Olivia is a knight or Luke is a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that If Luke is a knight then Ava is a knight.", "Assume Luke is a knight. No contradiction is found in their claim that Olivia is a knight or Ethan is a knave.", "Ethan cannot be a knight, because this would contradict the claim of their own that Luke is a knave if and only if Ava is a knight.", "Assume Ethan is a knave. No contradiction is found in their false claim that Luke is a knave if and only if Ava is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that If Ethan is a knight then Luke is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 4), ('telling-truth', 2)), ('->', ('telling-truth', 3), ('lying', 2)), ('or', ('telling-truth', 4), ('lying', 3)), ('<=>', ('lying', 2), ('telling-truth', 0)), ('->', ('telling-truth', 2), ('telling-truth', 0)))", "index": 480}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aurora, Penelope, Michael, Ethan, and Owen. Aurora expressed that Ethan is not a knave. In Penelope's words: \"Owen is not a knight\". According to Michael, \"If Ethan is a knave then Owen is a knight\". \"Aurora is a knave and Penelope is a knave,\" Ethan mentioned. In Owen's words: \"Michael is a knight and Michael is a knave\". So who is a knight and who is a knave?", "names": ["Aurora", "Penelope", "Michael", "Ethan", "Owen"], "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": "Aurora is a knave, Penelope is a knight, Michael is a knave, Ethan is a knave, and Owen is a knave.", "solution_text_format": "(1) Aurora is a knave\n(2) Penelope is a knight\n(3) Michael is a knave\n(4) Ethan 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 Aurora is a knight. No contradiction is found in their claim that Ethan is not a knave.", "Ethan cannot be a knight, because this would contradict the claim of their own that Aurora is a knave and Penelope is a knave.", "Ethan cannot be a knave, because this would contradict the claim of Aurora that Ethan is not a knave.", "We have exhausted all possibilities for Ethan, so let us go back and reconsider Aurora.", "Assume Aurora is a knave. No contradiction is found in their false claim that Ethan is not a knave.", "Ethan cannot be a knight, because this would contradict the false claim of Aurora that Ethan is not a knave.", "Assume Ethan is a knave. No contradiction is found in their false claim that Aurora is a knave and Penelope is a knave.", "Assume Penelope is a knight. No contradiction is found in their claim that Owen is not a knight.", "Owen cannot be a knight, because this would contradict the claim of Penelope that Owen is not a knight.", "Assume Owen is a knave. No contradiction is found in their false claim that Michael is a knight and Michael is a knave.", "Michael cannot be a knight, because this would contradict the claim of their own that If Ethan is a knave then Owen is a knight.", "Assume Michael is a knave. No contradiction is found in their false claim that If Ethan is a knave then Owen is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 3)), ('not', ('telling-truth', 4)), ('->', ('lying', 3), ('telling-truth', 4)), ('and', ('lying', 0), ('lying', 1)), ('and', ('telling-truth', 2), ('lying', 2)))", "index": 481}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Henry, Aiden, Noah, Emily, and Penelope. \"If Emily is a knave then Noah is a knight,\" Henry mentioned. \"Henry is not a knave,\" Aiden claimed. As Noah put it, \"If Henry is a knave then Emily is a knave\". Emily remarked, \"Emily is a knight and Penelope is a knight\". In a statement by Penelope: \"If Emily is a knight then Emily is a knave\". So who is a knight and who is a knave?", "names": ["Henry", "Aiden", "Noah", "Emily", "Penelope"], "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": "Henry is a knight, Aiden is a knight, Noah is a knight, Emily is a knave, and Penelope is a knight.", "solution_text_format": "(1) Henry is a knight\n(2) Aiden is a knight\n(3) Noah is a knight\n(4) Emily is a knave\n(5) Penelope is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Henry is a knight. No contradiction is found in their claim that If Emily is a knave then Noah is a knight.", "Assume Emily is a knight. No contradiction is found in their claim that Emily is a knight and Penelope is a knight.", "Penelope cannot be a knight, because this would contradict the claim of their own that If Emily is a knight then Emily is a knave.", "Penelope cannot be a knave, because this would contradict the claim of Emily that Emily is a knight and Penelope is a knight.", "We have exhausted all possibilities for Penelope, so let us go back and reconsider Emily.", "Assume Emily is a knave. No contradiction is found in their false claim that Emily is a knight and Penelope is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that If Emily is a knight then Emily is a knave.", "Assume Noah is a knight. No contradiction is found in their claim that If Henry is a knave then Emily is a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that Henry is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 3), ('telling-truth', 2)), ('not', ('lying', 0)), ('->', ('lying', 0), ('lying', 3)), ('and', ('telling-truth', 3), ('telling-truth', 4)), ('->', ('telling-truth', 3), ('lying', 3)))", "index": 482}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Zoey, Liam, Aiden, Sophia, and Mason. Zoey remarked, \"Liam is a knave and Zoey is a knight\". Liam stated, \"If Mason is a knight then Sophia is a knave\". \"Sophia is not a knight,\" Aiden claimed. Sophia remarked, \"Zoey is a knave and Mason is a knight\". Mason said that Aiden is a knight or Aiden is a knave. So who is a knight and who is a knave?", "names": ["Zoey", "Liam", "Aiden", "Sophia", "Mason"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true, true], "solution_text": "Zoey is a knave, Liam is a knave, Aiden is a knave, Sophia is a knight, and Mason is a knight.", "solution_text_format": "(1) Zoey is a knave\n(2) Liam is a knave\n(3) Aiden is a knave\n(4) Sophia is a knight\n(5) Mason is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Zoey is a knight. No contradiction is found in their claim that Liam is a knave and Zoey is a knight.", "Liam cannot be a knight, because this would contradict the claim of Zoey that Liam is a knave and Zoey is a knight.", "Assume Liam is a knave. No contradiction is found in their false claim that If Mason is a knight then Sophia is a knave.", "Assume Mason is a knight. No contradiction is found in their claim that Aiden is a knight or Aiden is a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that Sophia is not a knight.", "Sophia cannot be a knight, because this would contradict the claim of Aiden that Sophia is not a knight.", "Sophia cannot be a knave, because this would contradict the false claim of Liam that If Mason is a knight then Sophia is a knave.", "We have exhausted all possibilities for Sophia, so let us go back and reconsider Aiden.", "Assume Aiden is a knave. No contradiction is found in their false claim that Sophia is not a knight.", "Sophia cannot be a knight, because this would contradict the claim of their own that Zoey is a knave and Mason is a knight.", "Sophia cannot be a knave, because this would contradict the false claim of Liam that If Mason is a knight then Sophia is a knave.", "We have exhausted all possibilities for Sophia and Aiden, so let us go back and reconsider Mason.", "Mason cannot be a knave, because this would contradict the false claim of Liam that If Mason is a knight then Sophia is a knave.", "We have exhausted all possibilities for Mason and Liam, so let us go back and reconsider Zoey.", "Assume Zoey is a knave. No contradiction is found in their false claim that Liam is a knave and Zoey is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that If Mason is a knight then Sophia is a knave.", "Assume Mason is a knight. No contradiction is found in their claim that Aiden is a knight or Aiden is a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that Sophia is not a knight.", "Sophia cannot be a knight, because this would contradict the claim of Liam that If Mason is a knight then Sophia is a knave.", "Sophia cannot be a knave, because this would contradict the false claim of their own that Zoey is a knave and Mason is a knight.", "We have exhausted all possibilities for Sophia, so let us go back and reconsider Aiden.", "Assume Aiden is a knave. No contradiction is found in their false claim that Sophia is not a knight.", "Sophia cannot be a knight, because this would contradict the claim of Liam that If Mason is a knight then Sophia is a knave.", "Sophia cannot be a knave, because this would contradict the false claim of Aiden that Sophia is not a knight.", "We have exhausted all possibilities for Sophia and Aiden, so let us go back and reconsider Mason.", "Mason cannot be a knave, because this would contradict the false claim of their own that Aiden is a knight or Aiden is a knave.", "We have exhausted all possibilities for Mason, so let us go back and reconsider Liam.", "Assume Liam is a knave. No contradiction is found in their false claim that If Mason is a knight then Sophia is a knave.", "Assume Mason is a knight. No contradiction is found in their claim that Aiden is a knight or Aiden is a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that Sophia is not a knight.", "Sophia cannot be a knight, because this would contradict the claim of Aiden that Sophia is not a knight.", "Sophia cannot be a knave, because this would contradict the false claim of Liam that If Mason is a knight then Sophia is a knave.", "We have exhausted all possibilities for Sophia, so let us go back and reconsider Aiden.", "Assume Aiden 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 Zoey is a knave and Mason is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('telling-truth', 0)), ('->', ('telling-truth', 4), ('lying', 3)), ('not', ('telling-truth', 3)), ('and', ('lying', 0), ('telling-truth', 4)), ('or', ('telling-truth', 2), ('lying', 2)))", "index": 483}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Jack, Jacob, Zoey, Penelope, and Scarlett. Jack was heard saying, \"Penelope is a knave and Zoey is a knight\". Jacob stated, \"Penelope is not a knight\". Zoey stated, \"Penelope is a knave and Jacob is a knave\". According to Penelope, \"Scarlett is a knight\". \"Scarlett is a knight if and only if Penelope is a knight,\" Scarlett declared. So who is a knight and who is a knave?", "names": ["Jack", "Jacob", "Zoey", "Penelope", "Scarlett"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true, true], "solution_text": "Jack is a knave, Jacob is a knave, Zoey is a knave, Penelope is a knight, and Scarlett is a knight.", "solution_text_format": "(1) Jack is a knave\n(2) Jacob is a knave\n(3) Zoey is a knave\n(4) Penelope 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 Jack is a knight. No contradiction is found in their claim that Penelope is a knave and Zoey is a knight.", "Penelope cannot be a knight, because this would contradict the claim of Jack that Penelope is a knave and Zoey is a knight.", "Assume Penelope 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 Penelope that Scarlett is a knight.", "Scarlett cannot be a knave, because this would contradict the false claim of their own that Scarlett is a knight if and only if Penelope is a knight.", "We have exhausted all possibilities for Scarlett and Penelope, so let us go back and reconsider Jack.", "Assume Jack is a knave. No contradiction is found in their false claim that Penelope is a knave and Zoey is a knight.", "Assume Penelope 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 Scarlett is a knight if and only if Penelope is a knight.", "Zoey cannot be a knight, because this would contradict the claim of their own that Penelope is a knave and Jacob is a knave.", "Assume Zoey is a knave. No contradiction is found in their false claim that Penelope is a knave and Jacob is a knave.", "Jacob cannot be a knight, because this would contradict the claim of their own that Penelope is not a knight.", "Assume Jacob is a knave. No contradiction is found in their false claim that Penelope is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 3), ('telling-truth', 2)), ('not', ('telling-truth', 3)), ('and', ('lying', 3), ('lying', 1)), ('telling-truth', 4), ('<=>', ('telling-truth', 4), ('telling-truth', 3)))", "index": 484}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Lily, Zoey, Avery, Oliver, and Sebastian. Lily told you that Zoey is a knight. Zoey remarked, \"Oliver is a knight and Sebastian is a knight\". Avery told you that Zoey is a knight if and only if Oliver is a knave. Oliver asserted: \"Lily is a knave if and only if Zoey is a knight\". Sebastian commented, \"Avery is not a knight\". So who is a knight and who is a knave?", "names": ["Lily", "Zoey", "Avery", "Oliver", "Sebastian"], "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": "Lily is a knave, Zoey is a knave, Avery is a knave, Oliver is a knave, and Sebastian is a knight.", "solution_text_format": "(1) Lily is a knave\n(2) Zoey is a knave\n(3) Avery is a knave\n(4) Oliver is a knave\n(5) Sebastian is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Lily is a knight. No contradiction is found in their claim that Zoey is a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that Oliver is a knight and Sebastian is a knight.", "Oliver cannot be a knight, because this would contradict the claim of their own that Lily is a knave if and only if Zoey is a knight.", "Oliver cannot be a knave, because this would contradict the claim of Zoey that Oliver is a knight and Sebastian is a knight.", "We have exhausted all possibilities for Oliver, so let us go back and reconsider Zoey.", "Zoey cannot be a knave, because this would contradict the claim of Lily that Zoey is a knight.", "We have exhausted all possibilities for Zoey, so let us go back and reconsider Lily.", "Assume Lily is a knave. No contradiction is found in their false claim that Zoey is a knight.", "Zoey cannot be a knight, because this would contradict the false claim of Lily that Zoey is a knight.", "Assume Zoey is a knave. No contradiction is found in their false claim that Oliver is a knight and Sebastian is a knight.", "Oliver cannot be a knight, because this would contradict the claim of their own that Lily 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 Lily is a knave if and only if Zoey is a knight.", "Assume Sebastian 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 their own that Zoey is a knight if and only if Oliver is a knave.", "Assume Avery is a knave. No contradiction is found in their false claim that Zoey is a knight if and only if Oliver is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 1), ('and', ('telling-truth', 3), ('telling-truth', 4)), ('<=>', ('telling-truth', 1), ('lying', 3)), ('<=>', ('lying', 0), ('telling-truth', 1)), ('not', ('telling-truth', 2)))", "index": 485}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Penelope, Liam, Ava, Charlotte, and Daniel. In a statement by Penelope: \"Charlotte is a knight or Ava is a knight\". Liam said that If Ava is a knave then Ava is a knight. As Ava put it, \"Daniel is a knave if and only if Penelope is a knave\". Charlotte remarked, \"Liam is not a knave\". In Daniel's words: \"Charlotte is not a knight\". So who is a knight and who is a knave?", "names": ["Penelope", "Liam", "Ava", "Charlotte", "Daniel"], "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": "Penelope is a knave, Liam is a knave, Ava is a knave, Charlotte is a knave, and Daniel is a knight.", "solution_text_format": "(1) Penelope is a knave\n(2) Liam is a knave\n(3) Ava is a knave\n(4) Charlotte is a knave\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 Penelope is a knight. No contradiction is found in their claim that Charlotte is a knight or Ava is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that Liam is not a knave.", "Assume Liam is a knight. No contradiction is found in their claim that If Ava is a knave then Ava is a knight.", "Assume Ava is a knight. No contradiction is found in their claim that Daniel is a knave if and only if Penelope is a knave.", "Daniel cannot be a knight, because this would contradict the claim of their own that Charlotte is not a knight.", "Daniel cannot be a knave, because this would contradict the claim of Ava that Daniel is a knave if and only if Penelope is a knave.", "We have exhausted all possibilities for Daniel, so let us go back and reconsider Ava.", "Ava cannot be a knave, because this would contradict the claim of Liam that If Ava is a knave then Ava is a knight.", "We have exhausted all possibilities for Ava, so let us go back and reconsider Liam.", "Liam cannot be a knave, because this would contradict the claim of Charlotte that Liam is not a knave.", "We have exhausted all possibilities for Liam, so let us go back and reconsider Charlotte.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Liam is not a knave.", "Liam cannot be a knight, because this would contradict the false claim of Charlotte that Liam is not a knave.", "Assume Liam is a knave. No contradiction is found in their false claim that If Ava is a knave then Ava is a knight.", "Ava cannot be a knight, because this would contradict the false claim of Liam that If Ava is a knave then Ava is a knight.", "Ava cannot be a knave, because this would contradict the claim of Penelope that Charlotte is a knight or Ava is a knight.", "We have exhausted all possibilities for Ava, Liam, and Charlotte, so let us go back and reconsider Penelope.", "Assume Penelope is a knave. No contradiction is found in their false claim that Charlotte is a knight or Ava is a knight.", "Charlotte cannot be a knight, because this would contradict the false claim of Penelope that Charlotte is a knight or Ava is a knight.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Liam is not a knave.", "Liam cannot be a knight, because this would contradict the false claim of Charlotte that Liam is not a knave.", "Assume Liam is a knave. No contradiction is found in their false claim that If Ava is a knave then Ava is a knight.", "Ava cannot be a knight, because this would contradict the false claim of Penelope that Charlotte is a knight or Ava is a knight.", "Assume Ava is a knave. No contradiction is found in their false claim that Daniel is a knave if and only if Penelope is a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that Charlotte is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 3), ('telling-truth', 2)), ('->', ('lying', 2), ('telling-truth', 2)), ('<=>', ('lying', 4), ('lying', 0)), ('not', ('lying', 1)), ('not', ('telling-truth', 3)))", "index": 486}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Victoria, Luke, Aurora, Avery, and Henry. Victoria said, \"Luke is a knight.\" Luke remarked, \"Henry is a knave\". Aurora said that Henry is a knight or Avery is a knave. Avery commented, \"Aurora is a knight and Henry is a knight\". Henry expressed that Luke is a knave if and only if Luke is a knight. So who is a knight and who is a knave?", "names": ["Victoria", "Luke", "Aurora", "Avery", "Henry"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false, false], "solution_text": "Victoria is a knight, Luke is a knight, Aurora is a knight, Avery is a knave, and Henry is a knave.", "solution_text_format": "(1) Victoria is a knight\n(2) Luke is a knight\n(3) Aurora is a knight\n(4) Avery is a knave\n(5) Henry is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Victoria is a knight. No contradiction is found in their claim that Luke is a knight.", "Assume Luke is a knight. No contradiction is found in their claim that Henry is a knave.", "Henry cannot be a knight, because this would contradict the claim of Luke that Henry is a knave.", "Assume Henry is a knave. No contradiction is found in their false claim that Luke is a knave if and only if Luke is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that Henry is a knight or Avery is a knave.", "Avery cannot be a knight, because this would contradict the claim of Aurora that Henry is a knight or Avery is a knave.", "Assume Avery is a knave. No contradiction is found in their false claim that Aurora is a knight and Henry is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 1), ('lying', 4), ('or', ('telling-truth', 4), ('lying', 3)), ('and', ('telling-truth', 2), ('telling-truth', 4)), ('<=>', ('lying', 1), ('telling-truth', 1)))", "index": 487}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Lucas, Olivia, Lily, Amelia, and Mia. Lucas commented, \"Lily is a knight\". As Olivia put it, \"Lucas is a knave or Amelia is a knave\". In Lily's words: \"Mia is not a knave\". Amelia stated, \"If Lily is a knight then Mia is a knave\". As Mia put it, \"Amelia is a knave and Amelia is a knight\". So who is a knight and who is a knave?", "names": ["Lucas", "Olivia", "Lily", "Amelia", "Mia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true, false], "solution_text": "Lucas is a knave, Olivia is a knight, Lily is a knave, Amelia is a knight, and Mia is a knave.", "solution_text_format": "(1) Lucas is a knave\n(2) Olivia is a knight\n(3) Lily is a knave\n(4) Amelia is a knight\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 Lucas is a knight. No contradiction is found in their claim that Lily is a knight.", "Assume Lily is a knight. No contradiction is found in their claim that Mia is not a knave.", "Mia cannot be a knight, because this would contradict the claim of their own that Amelia is a knave and Amelia is a knight.", "Mia cannot be a knave, because this would contradict the claim of Lily that Mia is not a knave.", "We have exhausted all possibilities for Mia, so let us go back and reconsider Lily.", "Lily cannot be a knave, because this would contradict the claim of Lucas that Lily is a knight.", "We have exhausted all possibilities for Lily, so let us go back and reconsider Lucas.", "Assume Lucas is a knave. No contradiction is found in their false claim that Lily is a knight.", "Lily cannot be a knight, because this would contradict the false claim of Lucas that Lily is a knight.", "Assume Lily is a knave. No contradiction is found in their false claim that Mia is not a knave.", "Mia cannot be a knight, because this would contradict the false claim of Lily that Mia is not a knave.", "Assume Mia is a knave. No contradiction is found in their false claim that Amelia is a knave and Amelia is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that If Lily is a knight then Mia is a knave.", "Assume Olivia is a knight. No contradiction is found in their claim that Lucas is a knave or Amelia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 2), ('or', ('lying', 0), ('lying', 3)), ('not', ('lying', 4)), ('->', ('telling-truth', 2), ('lying', 4)), ('and', ('lying', 3), ('telling-truth', 3)))", "index": 488}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Mason, Lucas, Aiden, Henry, and Logan. Mason stated, \"Aiden is a knave and Aiden is a knight\". Lucas said that Mason is not a knight. Aiden stated, \"Aiden is a knight if and only if Henry is a knight\". In a statement by Henry: \"If Aiden is a knight then Aiden is a knave\". Logan stated, \"Lucas is a knave if and only if Aiden is a knight\". So who is a knight and who is a knave?", "names": ["Mason", "Lucas", "Aiden", "Henry", "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": "Mason is a knave, Lucas is a knight, Aiden is a knave, Henry is a knight, and Logan is a knight.", "solution_text_format": "(1) Mason is a knave\n(2) Lucas is a knight\n(3) Aiden is a knave\n(4) Henry 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": ["Mason cannot be a knight, because this would contradict the claim of their own that Aiden is a knave and Aiden is a knight.", "Assume Mason is a knave. No contradiction is found in their false claim that Aiden is a knave and Aiden is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that Aiden is a knight if and only if Henry is a knight.", "Henry cannot be a knight, because this would contradict the claim of their own that If Aiden is a knight then Aiden is a knave.", "Henry cannot be a knave, because this would contradict the claim of Aiden that Aiden is a knight if and only if Henry is a knight.", "We have exhausted all possibilities for Henry, so let us go back and reconsider Aiden.", "Assume Aiden is a knave. No contradiction is found in their false claim that Aiden is a knight if and only if Henry is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that If Aiden is a knight then Aiden is a knave.", "Assume Lucas is a knight. No contradiction is found in their claim that Mason is not a knight.", "Assume Logan is a knight. No contradiction is found in their claim that Lucas is a knave if and only if Aiden is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('telling-truth', 2)), ('not', ('telling-truth', 0)), ('<=>', ('telling-truth', 2), ('telling-truth', 3)), ('->', ('telling-truth', 2), ('lying', 2)), ('<=>', ('lying', 1), ('telling-truth', 2)))", "index": 489}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Chloe, Oliver, Emily, Samuel, and Liam. \"If Emily is a knight then Oliver is a knight,\" Chloe mentioned. Oliver noted, \"Liam is a knave and Emily is a knight\". Emily expressed that Chloe is not a knave. In Samuel's words: \"Chloe is a knave or Emily is a knight\". In a statement by Liam: \"Emily is a knight if and only if Emily is a knave\". So who is a knight and who is a knave?", "names": ["Chloe", "Oliver", "Emily", "Samuel", "Liam"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, false], "solution_text": "Chloe is a knight, Oliver is a knight, Emily is a knight, Samuel is a knight, and Liam is a knave.", "solution_text_format": "(1) Chloe is a knight\n(2) Oliver is a knight\n(3) Emily is a knight\n(4) Samuel 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 Chloe is a knight. No contradiction is found in their claim that If Emily is a knight then Oliver is a knight.", "Assume Emily is a knight. No contradiction is found in their claim that Chloe is not a knave.", "Assume Oliver is a knight. No contradiction is found in their claim that Liam is a knave and Emily is a knight.", "Liam cannot be a knight, because this would contradict the claim of Oliver that Liam is a knave and Emily is a knight.", "Assume Liam is a knave. No contradiction is found in their false claim that Emily is a knight if and only if Emily is a knave.", "Assume Samuel is a knight. No contradiction is found in their claim that Chloe is a knave or Emily is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 2), ('telling-truth', 1)), ('and', ('lying', 4), ('telling-truth', 2)), ('not', ('lying', 0)), ('or', ('lying', 0), ('telling-truth', 2)), ('<=>', ('telling-truth', 2), ('lying', 2)))", "index": 490}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Oliver, Michael, Aiden, Mason, and Benjamin. Oliver noted, \"Aiden is a knight if and only if Michael is a knave\". In Michael's words: \"Aiden is a knave or Oliver is a knight\". Aiden commented, \"Michael is a knave or Aiden is a knight\". \"Michael is not a knight,\" Mason mentioned. Benjamin said, \"Oliver is a knight or Mason is a knave.\" So who is a knight and who is a knave?", "names": ["Oliver", "Michael", "Aiden", "Mason", "Benjamin"], "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": "Oliver is a knight, Michael is a knight, Aiden is a knave, Mason is a knave, and Benjamin is a knight.", "solution_text_format": "(1) Oliver is a knight\n(2) Michael is a knight\n(3) Aiden is a knave\n(4) Mason is a knave\n(5) 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 Oliver is a knight. No contradiction is found in their claim that Aiden is a knight if and only if Michael is a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that Michael is a knave or Aiden is a knight.", "Michael cannot be a knight, because this would contradict the claim of Oliver that Aiden is a knight if and only if Michael is a knave.", "Michael cannot be a knave, because this would contradict the false claim of their own that Aiden is a knave or Oliver is a knight.", "We have exhausted all possibilities for Michael, so let us go back and reconsider Aiden.", "Assume Aiden is a knave. No contradiction is found in their false claim that Michael is a knave or Aiden is a knight.", "Assume Michael is a knight. No contradiction is found in their claim that Aiden is a knave or Oliver is a knight.", "Mason cannot be a knight, because this would contradict the claim of their own that Michael is not a knight.", "Assume Mason is a knave. No contradiction is found in their false claim that Michael is not a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that Oliver is a knight or Mason is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 2), ('lying', 1)), ('or', ('lying', 2), ('telling-truth', 0)), ('or', ('lying', 1), ('telling-truth', 2)), ('not', ('telling-truth', 1)), ('or', ('telling-truth', 0), ('lying', 3)))", "index": 491}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Amelia, Evelyn, Ava, Victoria, and Abigail. \"Ava is a knight,\" Amelia claimed. Evelyn commented, \"If Ava is a knight then Victoria is a knave\". Ava remarked, \"If Amelia is a knave then Victoria is a knight\". Victoria said that Abigail is a knave. Abigail remarked, \"If Ava is a knave then Ava is a knight\". So who is a knight and who is a knave?", "names": ["Amelia", "Evelyn", "Ava", "Victoria", "Abigail"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false, true], "solution_text": "Amelia is a knight, Evelyn is a knight, Ava is a knight, Victoria is a knave, and Abigail is a knight.", "solution_text_format": "(1) Amelia is a knight\n(2) Evelyn is a knight\n(3) Ava is a knight\n(4) Victoria 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 Amelia is a knight. No contradiction is found in their claim that Ava is a knight.", "Assume Ava is a knight. No contradiction is found in their claim that If Amelia is a knave then Victoria is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that Abigail is a knave.", "Abigail cannot be a knight, because this would contradict the claim of Victoria that Abigail is a knave.", "Abigail cannot be a knave, because this would contradict the false claim of their own that If Ava is a knave then Ava is a knight.", "We have exhausted all possibilities for Abigail, so let us go back and reconsider Victoria.", "Assume Victoria is a knave. No contradiction is found in their false claim that Abigail is a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that If Ava is a knave then Ava is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that If Ava is a knight then Victoria is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 2), ('->', ('telling-truth', 2), ('lying', 3)), ('->', ('lying', 0), ('telling-truth', 3)), ('lying', 4), ('->', ('lying', 2), ('telling-truth', 2)))", "index": 492}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: David, Michael, Emma, Mia, and Elizabeth. \"Michael is a knave or Elizabeth is a knight,\" David mentioned. \"If Elizabeth is a knave then Elizabeth is a knight,\" Michael claimed. In a statement by Emma: \"David is a knave\". Mia was heard saying, \"Michael is a knight if and only if David is a knave\". As Elizabeth put it, \"Elizabeth is a knight and David is a knave\". So who is a knight and who is a knave?", "names": ["David", "Michael", "Emma", "Mia", "Elizabeth"], "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, Michael is a knave, Emma is a knave, Mia is a knight, and Elizabeth is a knave.", "solution_text_format": "(1) David is a knight\n(2) Michael is a knave\n(3) Emma is a knave\n(4) Mia 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 David is a knight. No contradiction is found in their claim that Michael is a knave or Elizabeth is a knight.", "Assume Michael is a knight. No contradiction is found in their claim that If Elizabeth is a knave then Elizabeth is a knight.", "Elizabeth cannot be a knight, because this would contradict the claim of their own that Elizabeth is a knight and David is a knave.", "Elizabeth cannot be a knave, because this would contradict the claim of David that Michael is a knave or Elizabeth is a knight.", "We have exhausted all possibilities for Elizabeth, so let us go back and reconsider Michael.", "Assume Michael is a knave. No contradiction is found in their false claim that If Elizabeth is a knave then Elizabeth is a knight.", "Elizabeth cannot be a knight, because this would contradict the false claim of Michael that If Elizabeth is a knave then Elizabeth is a knight.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Elizabeth is a knight and David is a knave.", "Emma cannot be a knight, because this would contradict the claim of their own that David is a knave.", "Assume Emma is a knave. No contradiction is found in their false claim that David is a knave.", "Assume Mia is a knight. No contradiction is found in their claim that Michael is a knight if and only if David is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('telling-truth', 4)), ('->', ('lying', 4), ('telling-truth', 4)), ('lying', 0), ('<=>', ('telling-truth', 1), ('lying', 0)), ('and', ('telling-truth', 4), ('lying', 0)))", "index": 493}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Chloe, Sophia, Amelia, Aiden, and Logan. In a statement by Chloe: \"Logan is a knave and Amelia is a knight\". \"Aiden is a knave or Logan is a knight,\" Sophia claimed. Amelia remarked, \"Chloe is a knave or Aiden is a knight\". Aiden said that If Chloe is a knight then Sophia is a knight. \"Logan is a knight and Sophia is a knight\" - Logan. So who is a knight and who is a knave?", "names": ["Chloe", "Sophia", "Amelia", "Aiden", "Logan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, true], "solution_text": "Chloe is a knave, Sophia is a knight, Amelia is a knight, Aiden is a knight, and Logan is a knight.", "solution_text_format": "(1) Chloe is a knave\n(2) Sophia is a knight\n(3) Amelia is a knight\n(4) Aiden 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 Chloe is a knight. No contradiction is found in their claim that Logan is a knave and Amelia is a knight.", "Logan cannot be a knight, because this would contradict the claim of Chloe that Logan is a knave and Amelia is a knight.", "Assume Logan is a knave. No contradiction is found in their false claim that Logan is a knight and Sophia is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that Aiden is a knave or Logan is a knight.", "Aiden cannot be a knight, because this would contradict the claim of Sophia that Aiden is a knave or Logan is a knight.", "Aiden cannot be a knave, because this would contradict the false claim of their own that If Chloe is a knight then Sophia is a knight.", "We have exhausted all possibilities for Aiden, so let us go back and reconsider Sophia.", "Assume Sophia is a knave. No contradiction is found in their false claim that Aiden is a knave or Logan is a knight.", "Aiden cannot be a knight, because this would contradict the claim of their own that If Chloe is a knight then Sophia is a knight.", "Aiden cannot be a knave, because this would contradict the false claim of Sophia that Aiden is a knave or Logan is a knight.", "We have exhausted all possibilities for Aiden, Sophia, and Logan, so let us go back and reconsider Chloe.", "Assume Chloe is a knave. No contradiction is found in their false claim that Logan is a knave and Amelia is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that Logan is a knight and Sophia is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that Aiden is a knave or Logan is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that If Chloe is a knight then Sophia is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that Chloe is a knave or Aiden is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 4), ('telling-truth', 2)), ('or', ('lying', 3), ('telling-truth', 4)), ('or', ('lying', 0), ('telling-truth', 3)), ('->', ('telling-truth', 0), ('telling-truth', 1)), ('and', ('telling-truth', 4), ('telling-truth', 1)))", "index": 494}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Isabella, Henry, Aiden, Chloe, and Liam. Isabella commented, \"Liam is a knight or Chloe is a knight\". Henry was heard saying, \"Liam is a knave and Isabella is a knight\". \"Liam is a knave,\" Aiden claimed. Chloe said that Liam is a knave or Henry is a knight. Liam was heard saying, \"Isabella is a knight or Henry is a knight\". So who is a knight and who is a knave?", "names": ["Isabella", "Henry", "Aiden", "Chloe", "Liam"], "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": "Isabella is a knight, Henry is a knave, Aiden is a knave, Chloe is a knave, and Liam is a knight.", "solution_text_format": "(1) Isabella is a knight\n(2) Henry is a knave\n(3) Aiden is a knave\n(4) Chloe 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 Isabella is a knight. No contradiction is found in their claim that Liam is a knight or Chloe is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that Isabella is a knight or Henry is a knight.", "Henry cannot be a knight, because this would contradict the claim of their own that Liam is a knave and Isabella is a knight.", "Assume Henry is a knave. No contradiction is found in their false claim that Liam is a knave and Isabella is a knight.", "Chloe cannot be a knight, because this would contradict the claim of their own that Liam is a knave or Henry is a knight.", "Assume Chloe is a knave. No contradiction is found in their false claim that Liam is a knave or Henry is a knight.", "Aiden cannot be a knight, because this would contradict the claim of their own that Liam is a knave.", "Assume Aiden is a knave. No contradiction is found in their false claim that Liam is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 4), ('telling-truth', 3)), ('and', ('lying', 4), ('telling-truth', 0)), ('lying', 4), ('or', ('lying', 4), ('telling-truth', 1)), ('or', ('telling-truth', 0), ('telling-truth', 1)))", "index": 495}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Michael, Evelyn, Zoey, Sebastian, and Emma. Michael asserted: \"Sebastian is a knight or Zoey is a knight\". Evelyn commented, \"Emma is a knave if and only if Sebastian is a knight\". In a statement by Zoey: \"Emma is not a knave\". Sebastian noted, \"Evelyn is a knight or Evelyn is a knave\". \"Michael is not a knave,\" Emma claimed. So who is a knight and who is a knave?", "names": ["Michael", "Evelyn", "Zoey", "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, true], "solution_text": "Michael is a knight, Evelyn is a knave, Zoey is a knight, Sebastian is a knight, and Emma is a knight.", "solution_text_format": "(1) Michael is a knight\n(2) Evelyn is a knave\n(3) Zoey is a knight\n(4) Sebastian 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 Michael is a knight. No contradiction is found in their claim that Sebastian is a knight or Zoey is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Evelyn is a knight or Evelyn is a knave.", "Assume Evelyn is a knight. No contradiction is found in their claim that Emma is a knave if and only if Sebastian is a knight.", "Emma cannot be a knight, because this would contradict the claim of Evelyn that Emma is a knave if and only if Sebastian is a knight.", "Emma cannot be a knave, because this would contradict the false claim of their own that Michael is not a knave.", "We have exhausted all possibilities for Emma, so let us go back and reconsider Evelyn.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Emma is a knave if and only if Sebastian is a knight.", "Assume Emma is a knight. No contradiction is found in their claim that Michael is not a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that Emma is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 3), ('telling-truth', 2)), ('<=>', ('lying', 4), ('telling-truth', 3)), ('not', ('lying', 4)), ('or', ('telling-truth', 1), ('lying', 1)), ('not', ('lying', 0)))", "index": 496}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Sofia, Harper, James, David, and Alexander. In Sofia's words: \"James is a knave or Alexander is a knight\". Harper told you that David is a knight or Sofia is a knight. As James put it, \"Sofia is a knight and David is a knave\". In a statement by David: \"Harper is not a knave\". Alexander commented, \"James is a knave or Harper is a knight\". So who is a knight and who is a knave?", "names": ["Sofia", "Harper", "James", "David", "Alexander"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true, true], "solution_text": "Sofia is a knight, Harper is a knight, James is a knave, David is a knight, and Alexander is a knight.", "solution_text_format": "(1) Sofia is a knight\n(2) Harper is a knight\n(3) James is a knave\n(4) David is a knight\n(5) 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 Sofia is a knight. No contradiction is found in their claim that James is a knave or Alexander is a knight.", "Assume James is a knight. No contradiction is found in their claim that Sofia is a knight and David is a knave.", "David cannot be a knight, because this would contradict the claim of James that Sofia is a knight and David is a knave.", "Assume David is a knave. No contradiction is found in their false claim that Harper is not a knave.", "Harper cannot be a knight, because this would contradict the false claim of David that Harper is not a knave.", "Harper cannot be a knave, because this would contradict the false claim of their own that David is a knight or Sofia is a knight.", "We have exhausted all possibilities for Harper and David, so let us go back and reconsider James.", "Assume James is a knave. No contradiction is found in their false claim that Sofia is a knight and David is a knave.", "Assume David is a knight. No contradiction is found in their claim that Harper is not a knave.", "Assume Harper is a knight. No contradiction is found in their claim that David is a knight or Sofia is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that James is a knave or Harper is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 2), ('telling-truth', 4)), ('or', ('telling-truth', 3), ('telling-truth', 0)), ('and', ('telling-truth', 0), ('lying', 3)), ('not', ('lying', 1)), ('or', ('lying', 2), ('telling-truth', 1)))", "index": 497}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Jack, Scarlett, Noah, Harper, and Aria. In a statement by Jack: \"Aria is a knight or Aria is a knave\". According to Scarlett, \"Noah is a knight and Jack is a knight\". \"Harper is a knight,\" Noah declared. Harper told you that Jack is a knave if and only if Aria is a knave. \"Jack is not a knight\" - Aria. So who is a knight and who is a knave?", "names": ["Jack", "Scarlett", "Noah", "Harper", "Aria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false, false], "solution_text": "Jack is a knight, Scarlett is a knave, Noah is a knave, Harper is a knave, and Aria is a knave.", "solution_text_format": "(1) Jack is a knight\n(2) Scarlett is a knave\n(3) Noah is a knave\n(4) Harper is a knave\n(5) Aria is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jack is a knight. No contradiction is found in their claim that Aria is a knight or Aria is a knave.", "Aria cannot be a knight, because this would contradict the claim of their own that Jack is not a knight.", "Assume Aria is a knave. No contradiction is found in their false claim that Jack is not a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that Noah is a knight and Jack is a knight.", "Assume Noah is a knight. No contradiction is found in their claim that Harper is a knight.", "Harper cannot be a knight, because this would contradict the claim of their own that Jack is a knave if and only if Aria is a knave.", "Harper cannot be a knave, because this would contradict the claim of Noah that Harper is a knight.", "We have exhausted all possibilities for Harper, so let us go back and reconsider Noah.", "Noah cannot be a knave, because this would contradict the claim of Scarlett that Noah is a knight and Jack is a knight.", "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 and Jack is a knight.", "Noah cannot be a knight, because this would contradict the false claim of Scarlett that Noah is a knight and Jack is a knight.", "Assume Noah is a knave. No contradiction is found in their false claim that Harper is a knight.", "Harper cannot be a knight, because this would contradict the false claim of Noah that Harper is a knight.", "Assume Harper is a knave. No contradiction is found in their false claim that Jack is a knave if and only if Aria is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 4), ('lying', 4)), ('and', ('telling-truth', 2), ('telling-truth', 0)), ('telling-truth', 3), ('<=>', ('lying', 0), ('lying', 4)), ('not', ('telling-truth', 0)))", "index": 498}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Charlotte, Sophia, William, David, and Mason. \"Mason is a knight and Mason is a knave\" - Charlotte. Sophia told you that William is a knight or David is a knave. William stated, \"Mason is a knave or Sophia is a knave\". As David put it, \"David is a knight and Sophia is a knight\". In Mason's words: \"Charlotte is a knave\". So who is a knight and who is a knave?", "names": ["Charlotte", "Sophia", "William", "David", "Mason"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false, true], "solution_text": "Charlotte is a knave, Sophia is a knight, William is a knave, David is a knave, and Mason is a knight.", "solution_text_format": "(1) Charlotte is a knave\n(2) Sophia is a knight\n(3) William is a knave\n(4) David is a knave\n(5) 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": ["Charlotte cannot be a knight, because this would contradict the claim of their own that Mason is a knight and Mason is a knave.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Mason is a knight and Mason is a knave.", "Assume Mason is a knight. No contradiction is found in their claim that Charlotte is a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that William is a knight or David is a knave.", "William cannot be a knight, because this would contradict the claim of their own that Mason is a knave or Sophia is a knave.", "Assume William is a knave. No contradiction is found in their false claim that Mason is a knave or Sophia is a knave.", "David cannot be a knight, because this would contradict the claim of Sophia that William is a knight or David is a knave.", "Assume David is a knave. No contradiction is found in their false claim that David is a knight and Sophia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 4), ('lying', 4)), ('or', ('telling-truth', 2), ('lying', 3)), ('or', ('lying', 4), ('lying', 1)), ('and', ('telling-truth', 3), ('telling-truth', 1)), ('lying', 0))", "index": 499}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: William, Sophia, Henry, Penelope, and Aiden. As William put it, \"Sophia is a knight or Penelope is a knight\". In a statement by Sophia: \"If William is a knave then William is a knight\". Henry was heard saying, \"If William is a knight then Penelope is a knight\". \"Henry is a knave,\" Penelope mentioned. Aiden said that Penelope is not a knight. So who is a knight and who is a knave?", "names": ["William", "Sophia", "Henry", "Penelope", "Aiden"], "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": "William is a knave, Sophia is a knave, Henry is a knight, Penelope is a knave, and Aiden is a knight.", "solution_text_format": "(1) William is a knave\n(2) Sophia is a knave\n(3) Henry is a knight\n(4) Penelope is a knave\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 William is a knight. No contradiction is found in their claim that Sophia is a knight or Penelope is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that If William is a knave then William is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that Henry is a knave.", "Henry cannot be a knight, because this would contradict the claim of Penelope that Henry is a knave.", "Henry cannot be a knave, because this would contradict the false claim of their own that If William is a knight then Penelope is a knight.", "We have exhausted all possibilities for Henry, so let us go back and reconsider Penelope.", "Assume Penelope is a knave. No contradiction is found in their false claim that Henry is a knave.", "Henry cannot be a knight, because this would contradict the claim of their own that If William is a knight then Penelope is a knight.", "Henry cannot be a knave, because this would contradict the false claim of Penelope that Henry is a knave.", "We have exhausted all possibilities for Henry and Penelope, so let us go back and reconsider Sophia.", "Sophia cannot be a knave, because this would contradict the false claim of their own that If William is a knave then William is a knight.", "We have exhausted all possibilities for Sophia, so let us go back and reconsider William.", "Assume William is a knave. No contradiction is found in their false claim that Sophia is a knight or Penelope is a knight.", "Sophia cannot be a knight, because this would contradict the false claim of William that Sophia is a knight or Penelope is a knight.", "Assume Sophia is a knave. No contradiction is found in their false claim that If William is a knave then William is a knight.", "Penelope cannot be a knight, because this would contradict the false claim of William that Sophia is a knight or Penelope is a knight.", "Assume Penelope is a knave. No contradiction is found in their false claim that Henry is a knave.", "Assume Henry is a knight. No contradiction is found in their claim that If William is a knight then Penelope is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that Penelope is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 1), ('telling-truth', 3)), ('->', ('lying', 0), ('telling-truth', 0)), ('->', ('telling-truth', 0), ('telling-truth', 3)), ('lying', 2), ('not', ('telling-truth', 3)))", "index": 500}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Jackson, Mason, Owen, Grace, and David. In Jackson's words: \"Jackson is a knight and David is a knave\". Mason commented, \"Owen is a knave or Jackson is a knight\". As Owen put it, \"Grace is a knave\". Grace expressed that David is a knight and David is a knave. David noted, \"Owen is a knight\". So who is a knight and who is a knave?", "names": ["Jackson", "Mason", "Owen", "Grace", "David"], "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": "Jackson is a knave, Mason is a knave, Owen is a knight, Grace is a knave, and David is a knight.", "solution_text_format": "(1) Jackson is a knave\n(2) Mason is a knave\n(3) Owen is a knight\n(4) Grace 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 Jackson is a knight. No contradiction is found in their claim that Jackson is a knight and David is a knave.", "David cannot be a knight, because this would contradict the claim of Jackson that Jackson is a knight and David is a knave.", "Assume David is a knave. No contradiction is found in their false claim that Owen is a knight.", "Owen cannot be a knight, because this would contradict the false claim of David that Owen is a knight.", "Assume Owen is a knave. No contradiction is found in their false claim that Grace is a knave.", "Grace cannot be a knight, because this would contradict the claim of their own that David is a knight and David is a knave.", "Grace cannot be a knave, because this would contradict the false claim of Owen that Grace is a knave.", "We have exhausted all possibilities for Grace, Owen, and David, so let us go back and reconsider Jackson.", "Assume Jackson is a knave. No contradiction is found in their false claim that Jackson is a knight and David is a knave.", "Assume David is a knight. No contradiction is found in their claim that Owen is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that Grace is a knave.", "Grace cannot be a knight, because this would contradict the claim of Owen that Grace is a knave.", "Assume Grace is a knave. No contradiction is found in their false claim that David is a knight and David is a knave.", "Mason cannot be a knight, because this would contradict the claim of their own that Owen is a knave or Jackson is a knight.", "Assume Mason is a knave. No contradiction is found in their false claim that Owen is a knave or Jackson is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 0), ('lying', 4)), ('or', ('lying', 2), ('telling-truth', 0)), ('lying', 3), ('and', ('telling-truth', 4), ('lying', 4)), ('telling-truth', 2))", "index": 501}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Penelope, Ethan, Henry, Lucas, and Daniel. \"Ethan is a knave and Henry is a knight,\" Penelope claimed. \"Daniel is a knave or Henry is a knave,\" Ethan declared. Henry was heard saying, \"Henry is a knight if and only if Daniel is a knight\". In Lucas's words: \"Ethan is a knight\". \"Henry is not a knight,\" Daniel claimed. So who is a knight and who is a knave?", "names": ["Penelope", "Ethan", "Henry", "Lucas", "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": "Penelope is a knave, Ethan is a knight, Henry is a knave, Lucas is a knight, and Daniel is a knight.", "solution_text_format": "(1) Penelope is a knave\n(2) Ethan is a knight\n(3) Henry is a knave\n(4) Lucas 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 Penelope is a knight. No contradiction is found in their claim that Ethan is a knave and Henry is a knight.", "Ethan cannot be a knight, because this would contradict the claim of Penelope that Ethan is a knave and Henry is a knight.", "Assume Ethan is a knave. No contradiction is found in their false claim that Daniel is a knave or Henry is a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that Henry is not a knight.", "Henry cannot be a knight, because this would contradict the claim of Daniel that Henry is not a knight.", "Henry cannot be a knave, because this would contradict the claim of Penelope that Ethan is a knave and Henry is a knight.", "We have exhausted all possibilities for Henry, so let us go back and reconsider Daniel.", "Daniel cannot be a knave, because this would contradict the false claim of Ethan that Daniel is a knave or Henry is a knave.", "We have exhausted all possibilities for Daniel and Ethan, so let us go back and reconsider Penelope.", "Assume Penelope is a knave. No contradiction is found in their false claim that Ethan is a knave and Henry is a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that Daniel is a knave or Henry is a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that Henry is not a knight.", "Henry cannot be a knight, because this would contradict the claim of Ethan that Daniel is a knave or Henry is a knave.", "Assume Henry is a knave. No contradiction is found in their false claim that Henry is a knight if and only if Daniel is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that Ethan is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('telling-truth', 2)), ('or', ('lying', 4), ('lying', 2)), ('<=>', ('telling-truth', 2), ('telling-truth', 4)), ('telling-truth', 1), ('not', ('telling-truth', 2)))", "index": 502}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aurora, Scarlett, Penelope, William, and Jack. In Aurora's words: \"If William is a knave then William is a knight\". \"Jack is a knave if and only if Penelope is a knight,\" Scarlett claimed. According to Penelope, \"Scarlett is not a knave\". William asserted: \"Jack is a knave or Penelope is a knave\". Jack was heard saying, \"If Scarlett is a knight then Scarlett is a knave\". So who is a knight and who is a knave?", "names": ["Aurora", "Scarlett", "Penelope", "William", "Jack"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, false], "solution_text": "Aurora is a knight, Scarlett is a knight, Penelope is a knight, William is a knight, and Jack is a knave.", "solution_text_format": "(1) Aurora is a knight\n(2) Scarlett is a knight\n(3) Penelope is a knight\n(4) William is a knight\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 Aurora is a knight. No contradiction is found in their claim that If William is a knave then William is a knight.", "Assume William is a knight. No contradiction is found in their claim that Jack is a knave or Penelope is a knave.", "Assume Jack is a knight. No contradiction is found in their claim that If Scarlett is a knight then Scarlett is a knave.", "Scarlett cannot be a knight, because this would contradict the claim of Jack that If Scarlett is a knight then Scarlett is a knave.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Jack is a knave if and only if Penelope is a knight.", "Penelope cannot be a knight, because this would contradict the claim of their own that Scarlett is not a knave.", "Penelope cannot be a knave, because this would contradict the false claim of Scarlett that Jack is a knave if and only if Penelope is a knight.", "We have exhausted all possibilities for Penelope and Scarlett, so let us go back and reconsider Jack.", "Assume Jack is a knave. No contradiction is found in their false claim that If Scarlett is a knight then Scarlett is a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that Jack is a knave if and only if Penelope is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that Scarlett is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 3), ('telling-truth', 3)), ('<=>', ('lying', 4), ('telling-truth', 2)), ('not', ('lying', 1)), ('or', ('lying', 4), ('lying', 2)), ('->', ('telling-truth', 1), ('lying', 1)))", "index": 503}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Samuel, Matthew, Lily, Aurora, and Olivia. Samuel said that Lily is a knight. Matthew told you that If Samuel is a knight then Samuel is a knave. According to Lily, \"Samuel is a knave and Olivia is a knight\". Aurora commented, \"If Matthew is a knave then Lily is a knave\". Olivia expressed that Lily is a knight and Aurora is a knight. So who is a knight and who is a knave?", "names": ["Samuel", "Matthew", "Lily", "Aurora", "Olivia"], "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": "Samuel is a knave, Matthew is a knight, Lily is a knave, Aurora is a knight, and Olivia is a knave.", "solution_text_format": "(1) Samuel is a knave\n(2) Matthew is a knight\n(3) Lily is a knave\n(4) Aurora 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 Samuel is a knight. No contradiction is found in their claim that Lily is a knight.", "Lily cannot be a knight, because this would contradict the claim of their own that Samuel is a knave and Olivia is a knight.", "Lily cannot be a knave, because this would contradict the claim of Samuel that Lily is a knight.", "We have exhausted all possibilities for Lily, so let us go back and reconsider Samuel.", "Assume Samuel is a knave. No contradiction is found in their false claim that Lily is a knight.", "Lily cannot be a knight, because this would contradict the false claim of Samuel that Lily is a knight.", "Assume Lily is a knave. No contradiction is found in their false claim that Samuel is a knave and Olivia is a knight.", "Olivia cannot be a knight, because this would contradict the false claim of Lily that Samuel is a knave and Olivia is a knight.", "Assume Olivia is a knave. No contradiction is found in their false claim that Lily is a knight and Aurora is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that If Matthew is a knave then Lily is a knave.", "Assume Matthew is a knight. No contradiction is found in their claim that If Samuel is a knight then Samuel is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 2), ('->', ('telling-truth', 0), ('lying', 0)), ('and', ('lying', 0), ('telling-truth', 4)), ('->', ('lying', 1), ('lying', 2)), ('and', ('telling-truth', 2), ('telling-truth', 3)))", "index": 504}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Logan, Evelyn, Ethan, Avery, and Matthew. Logan was heard saying, \"If Evelyn is a knave then Matthew is a knave\". Evelyn expressed that If Avery is a knave then Logan is a knight. Ethan asserted: \"Matthew is a knight and Evelyn is a knave\". Avery asserted: \"If Evelyn is a knight then Logan is a knave\". Matthew stated, \"Avery is a knight\". So who is a knight and who is a knave?", "names": ["Logan", "Evelyn", "Ethan", "Avery", "Matthew"], "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": "Logan is a knight, Evelyn is a knight, Ethan is a knave, Avery is a knave, and Matthew is a knave.", "solution_text_format": "(1) Logan is a knight\n(2) Evelyn is a knight\n(3) Ethan is a knave\n(4) Avery 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 Logan is a knight. No contradiction is found in their claim that If Evelyn is a knave then Matthew is a knave.", "Assume Evelyn is a knight. No contradiction is found in their claim that If Avery is a knave then Logan is a knight.", "Avery cannot be a knight, because this would contradict the claim of their own that If Evelyn is a knight then Logan is a knave.", "Assume Avery is a knave. No contradiction is found in their false claim that If Evelyn is a knight then Logan is a knave.", "Matthew cannot be a knight, because this would contradict the claim of their own that Avery is a knight.", "Assume Matthew is a knave. No contradiction is found in their false claim that Avery is a knight.", "Ethan cannot be a knight, because this would contradict the claim of their own that Matthew is a knight and Evelyn is a knave.", "Assume Ethan is a knave. No contradiction is found in their false claim that Matthew is a knight and Evelyn is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 1), ('lying', 4)), ('->', ('lying', 3), ('telling-truth', 0)), ('and', ('telling-truth', 4), ('lying', 1)), ('->', ('telling-truth', 1), ('lying', 0)), ('telling-truth', 3))", "index": 505}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Mason, Evelyn, Sophia, Alexander, and Samuel. According to Mason, \"Evelyn is a knave or Alexander is a knave\". Evelyn said that Samuel is not a knight. Sophia noted, \"Mason is a knight or Alexander is a knave\". \"Samuel is a knave if and only if Samuel is a knight,\" Alexander claimed. Samuel said that Mason is a knight if and only if Alexander is a knave. So who is a knight and who is a knave?", "names": ["Mason", "Evelyn", "Sophia", "Alexander", "Samuel"], "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": "Mason is a knight, Evelyn is a knave, Sophia is a knight, Alexander is a knave, and Samuel is a knight.", "solution_text_format": "(1) Mason is a knight\n(2) Evelyn is a knave\n(3) Sophia is a knight\n(4) Alexander 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 Mason is a knight. No contradiction is found in their claim that Evelyn is a knave or Alexander is a knave.", "Assume Evelyn 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 Evelyn that Samuel is not a knight.", "Assume Samuel is a knave. No contradiction is found in their false claim that Mason is a knight if and only if Alexander is a knave.", "Alexander cannot be a knight, because this would contradict the claim of Mason that Evelyn is a knave or Alexander is a knave.", "Alexander cannot be a knave, because this would contradict the false claim of Samuel that Mason is a knight if and only if Alexander is a knave.", "We have exhausted all possibilities for Alexander and Samuel, so let us go back and reconsider Evelyn.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Samuel is not a knight.", "Assume Samuel is a knight. No contradiction is found in their claim that Mason is a knight if and only if Alexander is a knave.", "Alexander cannot be a knight, because this would contradict the claim of their own that Samuel is a knave if and only if Samuel is a knight.", "Assume Alexander is a knave. No contradiction is found in their false claim that Samuel is a knave if and only if Samuel is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that Mason is a knight or Alexander is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('lying', 3)), ('not', ('telling-truth', 4)), ('or', ('telling-truth', 0), ('lying', 3)), ('<=>', ('lying', 4), ('telling-truth', 4)), ('<=>', ('telling-truth', 0), ('lying', 3)))", "index": 506}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Harper, David, Zoey, Logan, and Liam. According to Harper, \"Logan is a knight or David is a knave\". \"Liam is a knight\" - David. Zoey was heard saying, \"If Zoey is a knight then Logan is a knight\". Logan expressed that Logan is a knight. \"Harper is a knight,\" Liam mentioned. So who is a knight and who is a knave?", "names": ["Harper", "David", "Zoey", "Logan", "Liam"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, true], "solution_text": "Harper is a knight, David is a knight, Zoey is a knight, Logan is a knight, and Liam is a knight.", "solution_text_format": "(1) Harper is a knight\n(2) David is a knight\n(3) Zoey is a knight\n(4) Logan is a knight\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 Harper is a knight. No contradiction is found in their claim that Logan is a knight or David is a knave.", "Assume Logan is a knight. No contradiction is found in their claim that Logan is a knight.", "Assume David is a knight. No contradiction is found in their claim that Liam is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that Harper is a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that If Zoey is a knight then Logan is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 3), ('lying', 1)), ('telling-truth', 4), ('->', ('telling-truth', 2), ('telling-truth', 3)), ('telling-truth', 3), ('telling-truth', 0))", "index": 507}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aria, Penelope, Zoey, Owen, and Sofia. Aria said, \"If Zoey is a knight then Penelope is a knight.\" According to Penelope, \"Zoey is a knave or Owen is a knight\". \"Aria is a knight or Sofia is a knave,\" Zoey claimed. In a statement by Owen: \"Penelope is a knight\". Sofia told you that Zoey is a knight and Owen is a knave. So who is a knight and who is a knave?", "names": ["Aria", "Penelope", "Zoey", "Owen", "Sofia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, false], "solution_text": "Aria is a knight, Penelope is a knight, Zoey is a knight, Owen is a knight, and Sofia is a knave.", "solution_text_format": "(1) Aria is a knight\n(2) Penelope is a knight\n(3) Zoey is a knight\n(4) Owen is a knight\n(5) Sofia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aria is a knight. No contradiction is found in their claim that If Zoey is a knight then Penelope is a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that Aria is a knight or Sofia is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that Zoey is a knight and Owen is a knave.", "Owen cannot be a knight, because this would contradict the claim of Sofia that Zoey is a knight and Owen is a knave.", "Assume Owen is a knave. No contradiction is found in their false claim that Penelope is a knight.", "Penelope cannot be a knight, because this would contradict the claim of their own that Zoey is a knave or Owen is a knight.", "Penelope cannot be a knave, because this would contradict the claim of Aria that If Zoey is a knight then Penelope is a knight.", "We have exhausted all possibilities for Penelope and Owen, so let us go back and reconsider Sofia.", "Assume Sofia is a knave. No contradiction is found in their false claim that Zoey is a knight and Owen is a knave.", "Assume Owen is a knight. No contradiction is found in their claim that Penelope is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that Zoey is a knave or Owen is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 2), ('telling-truth', 1)), ('or', ('lying', 2), ('telling-truth', 3)), ('or', ('telling-truth', 0), ('lying', 4)), ('telling-truth', 1), ('and', ('telling-truth', 2), ('lying', 3)))", "index": 508}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Abigail, Aiden, Avery, Benjamin, and Alexander. Abigail expressed that Alexander is not a knight. \"Abigail is not a knave\" - Aiden. Avery said, \"If Alexander is a knight then Benjamin is a knave.\" Benjamin told you that Avery is a knave or Aiden is a knave. Alexander was heard saying, \"Abigail is a knave and Abigail is a knight\". So who is a knight and who is a knave?", "names": ["Abigail", "Aiden", "Avery", "Benjamin", "Alexander"], "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": "Abigail is a knight, Aiden is a knight, Avery is a knight, Benjamin is a knave, and Alexander is a knave.", "solution_text_format": "(1) Abigail is a knight\n(2) Aiden is a knight\n(3) Avery is a knight\n(4) Benjamin 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 Abigail 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 Abigail that Alexander is not a knight.", "Assume Alexander is a knave. No contradiction is found in their false claim that Abigail is a knave and Abigail is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that Abigail is not a knave.", "Assume Avery is a knight. No contradiction is found in their claim that If Alexander is a knight then Benjamin is a knave.", "Benjamin cannot be a knight, because this would contradict the claim of their own that Avery is a knave or Aiden is a knave.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Avery is a knave or Aiden is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 4)), ('not', ('lying', 0)), ('->', ('telling-truth', 4), ('lying', 3)), ('or', ('lying', 2), ('lying', 1)), ('and', ('lying', 0), ('telling-truth', 0)))", "index": 509}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Abigail, Amelia, William, Sophia, and Luke. \"William is a knave and Sophia is a knight,\" Abigail declared. Amelia remarked, \"Abigail is not a knight\". In a statement by William: \"Amelia is a knave or Abigail is a knave\". \"Abigail is a knave\" - Sophia. Luke remarked, \"William is a knight or Sophia is a knight\". So who is a knight and who is a knave?", "names": ["Abigail", "Amelia", "William", "Sophia", "Luke"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, true], "solution_text": "Abigail is a knave, Amelia is a knight, William is a knight, Sophia is a knight, and Luke is a knight.", "solution_text_format": "(1) Abigail is a knave\n(2) Amelia is a knight\n(3) William is a knight\n(4) Sophia 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 Abigail is a knight. No contradiction is found in their claim that William is a knave and Sophia is a knight.", "William cannot be a knight, because this would contradict the claim of Abigail that William is a knave and Sophia is a knight.", "Assume William is a knave. No contradiction is found in their false claim that Amelia is a knave or Abigail is a knave.", "Amelia cannot be a knight, because this would contradict the claim of their own that Abigail is not a knight.", "Amelia cannot be a knave, because this would contradict the false claim of William that Amelia is a knave or Abigail is a knave.", "We have exhausted all possibilities for Amelia and William, so let us go back and reconsider Abigail.", "Assume Abigail is a knave. No contradiction is found in their false claim that William is a knave and Sophia is a knight.", "Assume William is a knight. No contradiction is found in their claim that Amelia is a knave or Abigail is a knave.", "Assume Amelia is a knight. No contradiction is found in their claim that Abigail is not a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that Abigail is a knave.", "Assume Luke is a knight. No contradiction is found in their claim that William is a knight or Sophia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('telling-truth', 3)), ('not', ('telling-truth', 0)), ('or', ('lying', 1), ('lying', 0)), ('lying', 0), ('or', ('telling-truth', 2), ('telling-truth', 3)))", "index": 510}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Jack, Joseph, Scarlett, Noah, and Zoey. As Jack put it, \"If Zoey is a knave then Zoey is a knight\". Joseph said, \"Jack is a knight.\" Scarlett said that Zoey is a knight. \"Noah is a knight or Zoey is a knight,\" Noah claimed. \"Scarlett is a knave or Joseph is a knight\" - Zoey. So who is a knight and who is a knave?", "names": ["Jack", "Joseph", "Scarlett", "Noah", "Zoey"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, true], "solution_text": "Jack is a knight, Joseph is a knight, Scarlett is a knight, Noah is a knight, and Zoey is a knight.", "solution_text_format": "(1) Jack is a knight\n(2) Joseph is a knight\n(3) Scarlett is a knight\n(4) Noah is a knight\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 If Zoey is a knave then Zoey is a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that Scarlett is a knave or Joseph is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that Zoey is a knight.", "Assume Joseph is a knight. No contradiction is found in their claim that Jack is a knight.", "Assume Noah is a knight. No contradiction is found in their claim that Noah is a knight or Zoey is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 4), ('telling-truth', 4)), ('telling-truth', 0), ('telling-truth', 4), ('or', ('telling-truth', 3), ('telling-truth', 4)), ('or', ('lying', 2), ('telling-truth', 1)))", "index": 511}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Chloe, Emma, Lily, Aiden, and Lucas. Chloe told you that If Lucas is a knight then Emma is a knave. \"Aiden is a knave if and only if Lucas is a knave,\" Emma mentioned. Lily commented, \"Aiden is not a knight\". According to Aiden, \"Emma is a knave\". Lucas stated, \"Lily is not a knave\". So who is a knight and who is a knave?", "names": ["Chloe", "Emma", "Lily", "Aiden", "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": "Chloe is a knight, Emma is a knave, Lily is a knave, Aiden is a knight, and Lucas is a knave.", "solution_text_format": "(1) Chloe is a knight\n(2) Emma is a knave\n(3) Lily is a knave\n(4) Aiden 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 Chloe is a knight. No contradiction is found in their claim that If Lucas is a knight then Emma is a knave.", "Assume Lucas is a knight. No contradiction is found in their claim that Lily is not a knave.", "Assume Lily is a knight. No contradiction is found in their claim that Aiden is not a knight.", "Aiden cannot be a knight, because this would contradict the claim of Lily that Aiden is not a knight.", "Assume Aiden is a knave. No contradiction is found in their false claim that Emma is a knave.", "Emma cannot be a knight, because this would contradict the claim of Chloe that If Lucas is a knight then Emma is a knave.", "Emma cannot be a knave, because this would contradict the false claim of Aiden that Emma is a knave.", "We have exhausted all possibilities for Emma and Aiden, so let us go back and reconsider Lily.", "Lily cannot be a knave, because this would contradict the claim of Lucas that Lily is not a knave.", "We have exhausted all possibilities for Lily, so let us go back and reconsider Lucas.", "Assume Lucas is a knave. No contradiction is found in their false claim that Lily is not a knave.", "Lily cannot be a knight, because this would contradict the false claim of Lucas that Lily is not a knave.", "Assume Lily is a knave. No contradiction is found in their false claim that Aiden is not a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that Emma is a knave.", "Emma cannot be a knight, because this would contradict the claim of their own that Aiden is a knave if and only if Lucas is a knave.", "Assume Emma is a knave. No contradiction is found in their false claim that Aiden is a knave if and only if Lucas is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 4), ('lying', 1)), ('<=>', ('lying', 3), ('lying', 4)), ('not', ('telling-truth', 3)), ('lying', 1), ('not', ('lying', 2)))", "index": 512}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Noah, Scarlett, Alexander, Aria, and Zoey. As Noah put it, \"Zoey is a knave if and only if Alexander is a knight\". Scarlett stated, \"Zoey is a knave if and only if Aria is a knight\". Alexander noted, \"Aria is a knave\". Aria said that Scarlett is a knave if and only if Noah is a knave. Zoey told you that Aria is a knight. So who is a knight and who is a knave?", "names": ["Noah", "Scarlett", "Alexander", "Aria", "Zoey"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false, false], "solution_text": "Noah is a knight, Scarlett is a knave, Alexander is a knight, Aria is a knave, and Zoey is a knave.", "solution_text_format": "(1) Noah is a knight\n(2) Scarlett is a knave\n(3) Alexander is a knight\n(4) Aria is a knave\n(5) Zoey is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Noah is a knight. No contradiction is found in their claim that Zoey is a knave if and only if Alexander is a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that Aria is a knight.", "Assume Aria is a knight. No contradiction is found in their claim that Scarlett is a knave if and only if Noah is a knave.", "Scarlett cannot be a knight, because this would contradict the claim of their own that Zoey is a knave if and only if Aria is a knight.", "Scarlett cannot be a knave, because this would contradict the claim of Aria that Scarlett is a knave if and only if Noah is a knave.", "We have exhausted all possibilities for Scarlett, so let us go back and reconsider Aria.", "Aria cannot be a knave, because this would contradict the claim of Zoey that Aria is a knight.", "We have exhausted all possibilities for Aria, so let us go back and reconsider Zoey.", "Assume Zoey is a knave. No contradiction is found in their false claim that Aria is a knight.", "Aria cannot be a knight, because this would contradict the false claim of Zoey that Aria is a knight.", "Assume Aria 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 claim of their own that Zoey is a knave if and only if Aria is a knight.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Zoey is a knave if and only if Aria is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that Aria is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 4), ('telling-truth', 2)), ('<=>', ('lying', 4), ('telling-truth', 3)), ('lying', 3), ('<=>', ('lying', 1), ('lying', 0)), ('telling-truth', 3))", "index": 513}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Ella, Grace, Amelia, Jack, and Charlotte. \"Amelia is a knave or Amelia is a knight,\" Ella mentioned. In a statement by Grace: \"Ella is a knight\". In Amelia's words: \"Ella is not a knave\". Jack said that If Ella is a knight then Charlotte is a knight. Charlotte asserted: \"Charlotte is a knight if and only if Jack is a knave\". So who is a knight and who is a knave?", "names": ["Ella", "Grace", "Amelia", "Jack", "Charlotte"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false, false], "solution_text": "Ella is a knight, Grace is a knight, Amelia is a knight, Jack is a knave, and Charlotte is a knave.", "solution_text_format": "(1) Ella is a knight\n(2) Grace is a knight\n(3) Amelia is a knight\n(4) Jack is a knave\n(5) 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 Ella is a knight. No contradiction is found in their claim that Amelia is a knave or Amelia is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that Ella is not a knave.", "Assume Grace is a knight. No contradiction is found in their claim that Ella is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that If Ella is a knight then Charlotte is a knight.", "Charlotte cannot be a knight, because this would contradict the claim of their own that Charlotte is a knight if and only if Jack is a knave.", "Charlotte cannot be a knave, because this would contradict the claim of Jack that If Ella is a knight then Charlotte is a knight.", "We have exhausted all possibilities for Charlotte, so let us go back and reconsider Jack.", "Assume Jack is a knave. No contradiction is found in their false claim that If Ella is a knight then Charlotte is a knight.", "Charlotte cannot be a knight, because this would contradict the false claim of Jack that If Ella is a knight then Charlotte is a knight.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Charlotte is a knight if and only if Jack is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 2), ('telling-truth', 2)), ('telling-truth', 0), ('not', ('lying', 0)), ('->', ('telling-truth', 0), ('telling-truth', 4)), ('<=>', ('telling-truth', 4), ('lying', 3)))", "index": 514}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Mia, Sophia, Emily, Amelia, and Victoria. \"Emily is a knave or Amelia is a knave\" - Mia. \"Amelia is a knight if and only if Sophia is a knight,\" Sophia declared. Emily stated, \"Amelia is a knight and Sophia is a knave\". \"Emily is a knight,\" Amelia claimed. Victoria remarked, \"Mia is a knight\". So who is a knight and who is a knave?", "names": ["Mia", "Sophia", "Emily", "Amelia", "Victoria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true, false], "solution_text": "Mia is a knave, Sophia is a knave, Emily is a knight, Amelia is a knight, and Victoria is a knave.", "solution_text_format": "(1) Mia is a knave\n(2) Sophia is a knave\n(3) Emily is a knight\n(4) Amelia is a knight\n(5) Victoria is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Mia is a knight. No contradiction is found in their claim that Emily is a knave or Amelia is a knave.", "Assume Emily is a knight. No contradiction is found in their claim that Amelia is a knight and Sophia is a knave.", "Amelia cannot be a knight, because this would contradict the claim of Mia that Emily is a knave or Amelia is a knave.", "Amelia cannot be a knave, because this would contradict the claim of Emily that Amelia is a knight and Sophia is a knave.", "We have exhausted all possibilities for Amelia, so let us go back and reconsider Emily.", "Assume Emily is a knave. No contradiction is found in their false claim that Amelia is a knight and Sophia is a knave.", "Amelia cannot be a knight, because this would contradict the claim of their own that Emily is a knight.", "Assume Amelia is a knave. No contradiction is found in their false claim that Emily is a knight.", "Sophia cannot be a knight, because this would contradict the claim of their own that Amelia is a knight if and only if Sophia is a knight.", "Sophia cannot be a knave, because this would contradict the false claim of their own that Amelia is a knight if and only if Sophia is a knight.", "We have exhausted all possibilities for Sophia, Amelia, and Emily, so let us go back and reconsider Mia.", "Assume Mia is a knave. No contradiction is found in their false claim that Emily is a knave or Amelia is a knave.", "Assume Emily is a knight. No contradiction is found in their claim that Amelia is a knight and Sophia is a knave.", "Assume Amelia is a knight. No contradiction is found in their claim that Emily is a knight.", "Sophia cannot be a knight, because this would contradict the claim of Emily that Amelia is a knight and Sophia is a knave.", "Assume Sophia is a knave. No contradiction is found in their false claim that Amelia is a knight if and only if Sophia is a knight.", "Victoria cannot be a knight, because this would contradict the claim of their own that Mia is a knight.", "Assume Victoria is a knave. No contradiction is found in their false claim that Mia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 2), ('lying', 3)), ('<=>', ('telling-truth', 3), ('telling-truth', 1)), ('and', ('telling-truth', 3), ('lying', 1)), ('telling-truth', 2), ('telling-truth', 0))", "index": 515}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Scarlett, Harper, Daniel, Sophia, and Joseph. Scarlett stated, \"Scarlett is a knight or Harper is a knave\". Harper was heard saying, \"Joseph is not a knight\". Daniel told you that Daniel is a knight and Joseph is a knave. Sophia expressed that Daniel is a knight and Harper is a knave. Joseph told you that Sophia is a knave. So who is a knight and who is a knave?", "names": ["Scarlett", "Harper", "Daniel", "Sophia", "Joseph"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false, true], "solution_text": "Scarlett is a knight, Harper is a knave, Daniel is a knave, Sophia is a knave, and Joseph is a knight.", "solution_text_format": "(1) Scarlett is a knight\n(2) Harper is a knave\n(3) Daniel is a knave\n(4) Sophia is a knave\n(5) Joseph is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Scarlett is a knight. No contradiction is found in their claim that Scarlett is a knight or Harper is a knave.", "Assume Harper is a knight. No contradiction is found in their claim that Joseph is not a knight.", "Joseph cannot be a knight, because this would contradict the claim of Harper that Joseph is not a knight.", "Assume Joseph is a knave. No contradiction is found in their false claim that Sophia is a knave.", "Sophia cannot be a knight, because this would contradict the claim of their own that Daniel is a knight and Harper is a knave.", "Sophia cannot be a knave, because this would contradict the false claim of Joseph that Sophia is a knave.", "We have exhausted all possibilities for Sophia and Joseph, so let us go back and reconsider Harper.", "Assume Harper is a knave. No contradiction is found in their false claim that Joseph is not a knight.", "Assume Joseph is a knight. No contradiction is found in their claim that Sophia is a knave.", "Sophia cannot be a knight, because this would contradict the claim of Joseph that Sophia is a knave.", "Assume Sophia is a knave. No contradiction is found in their false claim that Daniel is a knight and Harper is a knave.", "Daniel cannot be a knight, because this would contradict the claim of their own that Daniel is a knight and Joseph is a knave.", "Assume Daniel is a knave. No contradiction is found in their false claim that Daniel is a knight and Joseph is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 0), ('lying', 1)), ('not', ('telling-truth', 4)), ('and', ('telling-truth', 2), ('lying', 4)), ('and', ('telling-truth', 2), ('lying', 1)), ('lying', 3))", "index": 516}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Joseph, Riley, Logan, Sofia, and Emma. In Joseph's words: \"Sofia is a knave or Logan is a knight\". Riley noted, \"Emma is a knight or Emma is a knave\". According to Logan, \"Joseph is a knight if and only if Sofia is a knight\". \"Riley is a knave\" - Sofia. Emma noted, \"Logan is a knave or Sofia is a knight\". So who is a knight and who is a knave?", "names": ["Joseph", "Riley", "Logan", "Sofia", "Emma"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false, true], "solution_text": "Joseph is a knight, Riley is a knight, Logan is a knave, Sofia is a knave, and Emma is a knight.", "solution_text_format": "(1) Joseph is a knight\n(2) Riley is a knight\n(3) Logan is a knave\n(4) Sofia is a knave\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 Joseph is a knight. No contradiction is found in their claim that Sofia is a knave or Logan is a knight.", "Assume Sofia 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 Sofia that Riley is a knave.", "Riley cannot be a knave, because this would contradict the false claim of their own that Emma is a knight or Emma is a knave.", "We have exhausted all possibilities for Riley, so let us go back and reconsider Sofia.", "Assume Sofia 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 Emma is a knight or Emma is a knave.", "Assume Emma is a knight. No contradiction is found in their claim that Logan is a knave or Sofia is a knight.", "Logan cannot be a knight, because this would contradict the claim of their own that Joseph is a knight if and only if Sofia is a knight.", "Assume Logan is a knave. No contradiction is found in their false claim that Joseph is a knight if and only if Sofia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 3), ('telling-truth', 2)), ('or', ('telling-truth', 4), ('lying', 4)), ('<=>', ('telling-truth', 0), ('telling-truth', 3)), ('lying', 1), ('or', ('lying', 2), ('telling-truth', 3)))", "index": 517}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Jackson, Jack, William, Henry, and Chloe. Jackson remarked, \"Jack is a knave and William is a knave\". \"If Jack is a knight then William is a knight,\" Jack declared. As William put it, \"If Jackson is a knave then Chloe is a knave\". Henry stated, \"If Jack is a knave then William is a knave\". In Chloe's words: \"Jackson is a knave if and only if Chloe is a knight\". So who is a knight and who is a knave?", "names": ["Jackson", "Jack", "William", "Henry", "Chloe"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, false], "solution_text": "Jackson is a knave, Jack is a knight, William is a knight, Henry is a knight, and Chloe is a knave.", "solution_text_format": "(1) Jackson is a knave\n(2) Jack is a knight\n(3) William is a knight\n(4) Henry is a knight\n(5) Chloe is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jackson is a knight. No contradiction is found in their claim that Jack is a knave and William is a knave.", "Jack cannot be a knight, because this would contradict the claim of Jackson that Jack is a knave and William is a knave.", "Jack cannot be a knave, because this would contradict the false claim of their own that If Jack is a knight then William is a knight.", "We have exhausted all possibilities for Jack, so let us go back and reconsider Jackson.", "Assume Jackson is a knave. No contradiction is found in their false claim that Jack is a knave and William is a knave.", "Assume Jack is a knight. No contradiction is found in their claim that If Jack is a knight then William is a knight.", "Assume William is a knight. No contradiction is found in their claim that If Jackson is a knave then Chloe is a knave.", "Chloe cannot be a knight, because this would contradict the claim of William that If Jackson is a knave then Chloe is a knave.", "Assume Chloe is a knave. No contradiction is found in their false claim that Jackson is a knave if and only if Chloe is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that If Jack is a knave then William is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('lying', 2)), ('->', ('telling-truth', 1), ('telling-truth', 2)), ('->', ('lying', 0), ('lying', 4)), ('->', ('lying', 1), ('lying', 2)), ('<=>', ('lying', 0), ('telling-truth', 4)))", "index": 518}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Chloe, Scarlett, Avery, Mia, and Amelia. Chloe told you that Avery is a knight if and only if Chloe is a knight. Scarlett asserted: \"Avery is a knight if and only if Chloe is a knight\". Avery noted, \"Mia is a knight if and only if Scarlett is a knight\". Mia commented, \"Amelia is a knight or Chloe is a knave\". Amelia said, \"Amelia is a knight.\" So who is a knight and who is a knave?", "names": ["Chloe", "Scarlett", "Avery", "Mia", "Amelia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, true], "solution_text": "Chloe is a knight, Scarlett is a knight, Avery is a knight, Mia is a knight, and Amelia is a knight.", "solution_text_format": "(1) Chloe is a knight\n(2) Scarlett is a knight\n(3) Avery is a knight\n(4) Mia is a knight\n(5) Amelia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Chloe is a knight. No contradiction is found in their claim that Avery is a knight if and only if Chloe is a knight.", "Assume Avery is a knight. No contradiction is found in their claim that Mia is a knight if and only if Scarlett is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that Amelia is a knight or Chloe is a knave.", "Assume Amelia is a knight. No contradiction is found in their claim that Amelia is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that Avery is a knight if and only if Chloe is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 2), ('telling-truth', 0)), ('<=>', ('telling-truth', 2), ('telling-truth', 0)), ('<=>', ('telling-truth', 3), ('telling-truth', 1)), ('or', ('telling-truth', 4), ('lying', 0)), ('telling-truth', 4))", "index": 519}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Matthew, Jackson, William, Isabella, and Chloe. Matthew remarked, \"Isabella is a knight\". Jackson noted, \"Isabella is a knave or Chloe is a knave\". William stated, \"Isabella is a knight or Jackson is a knight\". Isabella told you that Isabella is a knight and William is a knave. Chloe commented, \"Matthew is not a knight\". So who is a knight and who is a knave?", "names": ["Matthew", "Jackson", "William", "Isabella", "Chloe"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false, true], "solution_text": "Matthew is a knave, Jackson is a knight, William is a knight, Isabella is a knave, and Chloe is a knight.", "solution_text_format": "(1) Matthew is a knave\n(2) Jackson is a knight\n(3) William is a knight\n(4) Isabella 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 Matthew is a knight. No contradiction is found in their claim that Isabella is a knight.", "Assume Isabella is a knight. No contradiction is found in their claim that Isabella is a knight and William is a knave.", "William cannot be a knight, because this would contradict the claim of Isabella that Isabella is a knight and William is a knave.", "William cannot be a knave, because this would contradict the false claim of their own that Isabella is a knight or Jackson is a knight.", "We have exhausted all possibilities for William, so let us go back and reconsider Isabella.", "Isabella cannot be a knave, because this would contradict the claim of Matthew that Isabella is a knight.", "We have exhausted all possibilities for Isabella, so let us go back and reconsider Matthew.", "Assume Matthew is a knave. No contradiction is found in their false claim that Isabella is a knight.", "Isabella cannot be a knight, because this would contradict the false claim of Matthew that Isabella is a knight.", "Assume Isabella is a knave. No contradiction is found in their false claim that Isabella is a knight and William is a knave.", "Assume William is a knight. No contradiction is found in their claim that Isabella is a knight or Jackson is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that Isabella is a knave or Chloe is a knave.", "Assume Chloe is a knight. No contradiction is found in their claim that Matthew is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 3), ('or', ('lying', 3), ('lying', 4)), ('or', ('telling-truth', 3), ('telling-truth', 1)), ('and', ('telling-truth', 3), ('lying', 2)), ('not', ('telling-truth', 0)))", "index": 520}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Owen, Logan, Joseph, Alexander, and Mia. Owen expressed that Joseph is a knave. Logan expressed that Mia is a knave if and only if Mia is a knight. \"Mia is a knave or Logan is a knight\" - Joseph. Alexander noted, \"Owen is a knave and Mia is a knave\". \"Owen is a knave and Joseph is a knave\" - Mia. So who is a knight and who is a knave?", "names": ["Owen", "Logan", "Joseph", "Alexander", "Mia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true, false], "solution_text": "Owen is a knave, Logan is a knave, Joseph is a knight, Alexander is a knight, and Mia is a knave.", "solution_text_format": "(1) Owen is a knave\n(2) Logan is a knave\n(3) Joseph is a knight\n(4) Alexander is a knight\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 Owen is a knight. No contradiction is found in their claim that Joseph is a knave.", "Joseph cannot be a knight, because this would contradict the claim of Owen that Joseph is a knave.", "Assume Joseph is a knave. No contradiction is found in their false claim that Mia is a knave or Logan is a knight.", "Mia cannot be a knight, because this would contradict the claim of their own that Owen is a knave and Joseph is a knave.", "Mia cannot be a knave, because this would contradict the false claim of Joseph that Mia is a knave or Logan is a knight.", "We have exhausted all possibilities for Mia and Joseph, so let us go back and reconsider Owen.", "Assume Owen is a knave. No contradiction is found in their false claim that Joseph is a knave.", "Assume Joseph is a knight. No contradiction is found in their claim that Mia is a knave or Logan is a knight.", "Mia cannot be a knight, because this would contradict the claim of their own that Owen is a knave and Joseph is a knave.", "Assume Mia is a knave. No contradiction is found in their false claim that Owen is a knave and Joseph is a knave.", "Logan 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 Logan is a knave. No contradiction is found in their false claim that Mia is a knave if and only if Mia is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that Owen is a knave and Mia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 2), ('<=>', ('lying', 4), ('telling-truth', 4)), ('or', ('lying', 4), ('telling-truth', 1)), ('and', ('lying', 0), ('lying', 4)), ('and', ('lying', 0), ('lying', 2)))", "index": 521}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Jackson, Samuel, Riley, Jack, and Ethan. Jackson stated, \"Samuel is a knight and Jack is a knight\". As Samuel put it, \"If Jackson is a knave then Riley is a knight\". Riley stated, \"If Samuel is a knight then Jackson is a knave\". In a statement by Jack: \"Ethan is a knave or Samuel is a knave\". In Ethan's words: \"Samuel is not a knight\". So who is a knight and who is a knave?", "names": ["Jackson", "Samuel", "Riley", "Jack", "Ethan"], "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": "Jackson is a knight, Samuel is a knight, Riley is a knave, Jack is a knight, and Ethan is a knave.", "solution_text_format": "(1) Jackson is a knight\n(2) Samuel is a knight\n(3) Riley is a knave\n(4) Jack 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 Jackson is a knight. No contradiction is found in their claim that Samuel is a knight and Jack is a knight.", "Assume Samuel is a knight. No contradiction is found in their claim that If Jackson is a knave then Riley is a knight.", "Riley cannot be a knight, because this would contradict the claim of their own that If Samuel is a knight then Jackson is a knave.", "Assume Riley is a knave. No contradiction is found in their false claim that If Samuel is a knight then Jackson is a knave.", "Assume Jack is a knight. No contradiction is found in their claim that Ethan is a knave or Samuel is a knave.", "Ethan cannot be a knight, because this would contradict the claim of Jack that Ethan is a knave or Samuel is a knave.", "Assume Ethan is a knave. No contradiction is found in their false claim that Samuel is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('telling-truth', 3)), ('->', ('lying', 0), ('telling-truth', 2)), ('->', ('telling-truth', 1), ('lying', 0)), ('or', ('lying', 4), ('lying', 1)), ('not', ('telling-truth', 1)))", "index": 522}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Olivia, Emily, Zoey, Abigail, and Scarlett. \"Abigail is a knave if and only if Scarlett is a knave,\" Olivia claimed. According to Emily, \"Scarlett is a knight and Abigail is a knave\". Zoey said, \"If Olivia is a knave then Scarlett is a knight.\" In a statement by Abigail: \"Scarlett is not a knave\". Scarlett expressed that If Olivia is a knave then Emily is a knight. So who is a knight and who is a knave?", "names": ["Olivia", "Emily", "Zoey", "Abigail", "Scarlett"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, true], "solution_text": "Olivia is a knight, Emily is a knave, Zoey is a knight, Abigail is a knight, and Scarlett is a knight.", "solution_text_format": "(1) Olivia is a knight\n(2) Emily is a knave\n(3) Zoey is a knight\n(4) Abigail 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 Olivia is a knight. No contradiction is found in their claim that Abigail is a knave if and only if Scarlett is a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that Scarlett is not a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that If Olivia is a knave then Emily is a knight.", "Emily cannot be a knight, because this would contradict the claim of their own that Scarlett is a knight and Abigail is a knave.", "Assume Emily is a knave. No contradiction is found in their false claim that Scarlett is a knight and Abigail is a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that If Olivia is a knave then Scarlett is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 3), ('lying', 4)), ('and', ('telling-truth', 4), ('lying', 3)), ('->', ('lying', 0), ('telling-truth', 4)), ('not', ('lying', 4)), ('->', ('lying', 0), ('telling-truth', 1)))", "index": 523}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: James, William, Olivia, Owen, and Zoey. James noted, \"If William is a knight then William is a knave\". William said, \"If James is a knight then Zoey is a knight.\" Olivia said, \"If William is a knight then James is a knave.\" Owen commented, \"Olivia is a knave or Zoey is a knight\". As Zoey put it, \"James is a knight and William is a knave\". So who is a knight and who is a knave?", "names": ["James", "William", "Olivia", "Owen", "Zoey"], "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, William is a knight, Olivia is a knight, Owen is a knave, and Zoey is a knave.", "solution_text_format": "(1) James is a knave\n(2) William is a knight\n(3) Olivia is a knight\n(4) Owen is a knave\n(5) Zoey is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume James is a knight. No contradiction is found in their claim that If William is a knight then William is a knave.", "William cannot be a knight, because this would contradict the claim of James that If William is a knight then William is a knave.", "Assume William is a knave. No contradiction is found in their false claim that If James is a knight then Zoey is a knight.", "Zoey cannot be a knight, because this would contradict the false claim of William that If James is a knight then Zoey is a knight.", "Zoey cannot be a knave, because this would contradict the false claim of their own that James is a knight and William is a knave.", "We have exhausted all possibilities for Zoey and William, so let us go back and reconsider James.", "Assume James is a knave. No contradiction is found in their false claim that If William is a knight then William is a knave.", "Assume William is a knight. No contradiction is found in their claim that If James is a knight then Zoey is a knight.", "Zoey cannot be a knight, because this would contradict the claim of their own that James is a knight and William is a knave.", "Assume Zoey is a knave. No contradiction is found in their false claim that James is a knight and William is a knave.", "Assume Olivia is a knight. No contradiction is found in their claim that If William is a knight then James is a knave.", "Owen cannot be a knight, because this would contradict the claim of their own that Olivia is a knave or Zoey is a knight.", "Assume Owen is a knave. No contradiction is found in their false claim that Olivia is a knave or Zoey is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 1), ('lying', 1)), ('->', ('telling-truth', 0), ('telling-truth', 4)), ('->', ('telling-truth', 1), ('lying', 0)), ('or', ('lying', 2), ('telling-truth', 4)), ('and', ('telling-truth', 0), ('lying', 1)))", "index": 524}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Emily, Daniel, Jacob, Charlotte, and Aurora. \"Charlotte is a knight if and only if Jacob is a knave,\" Emily claimed. Daniel told you that Charlotte is a knight and Jacob is a knight. Jacob said that If Daniel is a knight then Charlotte is a knave. Charlotte asserted: \"If Aurora is a knave then Aurora is a knight\". \"Jacob is a knight if and only if Daniel is a knight,\" Aurora claimed. So who is a knight and who is a knave?", "names": ["Emily", "Daniel", "Jacob", "Charlotte", "Aurora"], "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": "Emily is a knight, Daniel is a knave, Jacob is a knight, Charlotte is a knave, and Aurora is a knave.", "solution_text_format": "(1) Emily is a knight\n(2) Daniel is a knave\n(3) Jacob is a knight\n(4) Charlotte is a knave\n(5) Aurora is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Emily is a knight. No contradiction is found in their claim that Charlotte is a knight if and only if Jacob is a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that If Aurora is a knave then Aurora is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that Jacob is a knight if and only if Daniel is a knight.", "Jacob cannot be a knight, because this would contradict the claim of Emily that Charlotte is a knight if and only if Jacob is a knave.", "Assume Jacob is a knave. No contradiction is found in their false claim that If Daniel is a knight then Charlotte is a knave.", "Daniel cannot be a knight, because this would contradict the claim of their own that Charlotte is a knight and Jacob is a knight.", "Daniel cannot be a knave, because this would contradict the false claim of Jacob that If Daniel is a knight then Charlotte is a knave.", "We have exhausted all possibilities for Daniel and Jacob, so let us go back and reconsider Aurora.", "Aurora cannot be a knave, because this would contradict the claim of Charlotte that If Aurora is a knave then Aurora is a knight.", "We have exhausted all possibilities for Aurora, so let us go back and reconsider Charlotte.", "Assume Charlotte is a knave. No contradiction is found in their false claim that If Aurora is a knave then Aurora is a knight.", "Aurora cannot be a knight, because this would contradict the false claim of Charlotte that If Aurora is a knave then Aurora is a knight.", "Assume Aurora is a knave. No contradiction is found in their false claim that Jacob is a knight if and only if Daniel is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that If Daniel is a knight then Charlotte is a knave.", "Daniel cannot be a knight, because this would contradict the claim of their own that Charlotte is a knight and Jacob is a knight.", "Assume Daniel is a knave. No contradiction is found in their false claim that Charlotte is a knight and Jacob is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 3), ('lying', 2)), ('and', ('telling-truth', 3), ('telling-truth', 2)), ('->', ('telling-truth', 1), ('lying', 3)), ('->', ('lying', 4), ('telling-truth', 4)), ('<=>', ('telling-truth', 2), ('telling-truth', 1)))", "index": 525}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Charlotte, Owen, Alexander, Jack, and Evelyn. According to Charlotte, \"Alexander is a knight\". \"Charlotte is a knight and Jack is a knight,\" Owen declared. Alexander expressed that Owen is a knave. \"Owen is a knight,\" Jack claimed. Evelyn noted, \"Owen is a knave\". So who is a knight and who is a knave?", "names": ["Charlotte", "Owen", "Alexander", "Jack", "Evelyn"], "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": "Charlotte is a knight, Owen is a knave, Alexander is a knight, Jack is a knave, and Evelyn is a knight.", "solution_text_format": "(1) Charlotte is a knight\n(2) Owen is a knave\n(3) Alexander is a knight\n(4) Jack is a knave\n(5) Evelyn is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Charlotte is a knight. No contradiction is found in their claim that Alexander is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that Owen is a knave.", "Owen cannot be a knight, because this would contradict the claim of Alexander that Owen is a knave.", "Assume Owen is a knave. No contradiction is found in their false claim that Charlotte is a knight and Jack is a knight.", "Jack cannot be a knight, because this would contradict the false claim of Owen that Charlotte is a knight and Jack is a knight.", "Assume Jack is a knave. No contradiction is found in their false claim that Owen is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that Owen is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 2), ('and', ('telling-truth', 0), ('telling-truth', 3)), ('lying', 1), ('telling-truth', 1), ('lying', 1))", "index": 526}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Olivia, William, Sebastian, Owen, and Emma. \"William is a knight and Owen is a knave\" - Olivia. \"Olivia is a knave if and only if Emma is a knight,\" William declared. Sebastian asserted: \"William is a knight or Owen is a knave\". Owen stated, \"If William is a knave then Olivia is a knight\". In Emma's words: \"Olivia is a knave\". So who is a knight and who is a knave?", "names": ["Olivia", "William", "Sebastian", "Owen", "Emma"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, true], "solution_text": "Olivia is a knave, William is a knight, Sebastian is a knight, Owen is a knight, and Emma is a knight.", "solution_text_format": "(1) Olivia is a knave\n(2) William is a knight\n(3) Sebastian is a knight\n(4) Owen 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 Olivia is a knight. No contradiction is found in their claim that William is a knight and Owen is a knave.", "Assume William is a knight. No contradiction is found in their claim that Olivia is a knave if and only if Emma is a knight.", "Emma cannot be a knight, because this would contradict the claim of William that Olivia is a knave if and only if Emma is a knight.", "Assume Emma is a knave. No contradiction is found in their false claim that Olivia is a knave.", "Owen cannot be a knight, because this would contradict the claim of Olivia that William is a knight and Owen is a knave.", "Owen cannot be a knave, because this would contradict the false claim of their own that If William is a knave then Olivia is a knight.", "We have exhausted all possibilities for Owen and Emma, so let us go back and reconsider William.", "William cannot be a knave, because this would contradict the claim of Olivia that William is a knight and Owen is a knave.", "We have exhausted all possibilities for William, so let us go back and reconsider Olivia.", "Assume Olivia is a knave. No contradiction is found in their false claim that William is a knight and Owen is a knave.", "Assume William is a knight. No contradiction is found in their claim that Olivia is a knave if and only if Emma is a knight.", "Assume Emma is a knight. No contradiction is found in their claim that Olivia is a knave.", "Assume Owen is a knight. No contradiction is found in their claim that If William is a knave then Olivia is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that William is a knight or Owen is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('lying', 3)), ('<=>', ('lying', 0), ('telling-truth', 4)), ('or', ('telling-truth', 1), ('lying', 3)), ('->', ('lying', 1), ('telling-truth', 0)), ('lying', 0))", "index": 527}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Harper, Avery, Ethan, Noah, and Jacob. As Harper put it, \"If Ethan is a knight then Ethan is a knave\". As Avery put it, \"Jacob is not a knave\". Ethan said, \"Harper is a knave and Noah is a knight.\" \"Harper is a knight and Avery is a knave,\" Noah mentioned. Jacob noted, \"Avery is a knight if and only if Jacob is a knight\". So who is a knight and who is a knave?", "names": ["Harper", "Avery", "Ethan", "Noah", "Jacob"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false, true], "solution_text": "Harper is a knight, Avery is a knight, Ethan is a knave, Noah is a knave, and Jacob is a knight.", "solution_text_format": "(1) Harper is a knight\n(2) Avery is a knight\n(3) Ethan is a knave\n(4) Noah is a knave\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 Harper is a knight. No contradiction is found in their claim that If Ethan is a knight then Ethan is a knave.", "Ethan cannot be a knight, because this would contradict the claim of Harper that If Ethan is a knight then Ethan is a knave.", "Assume Ethan is a knave. No contradiction is found in their false claim that Harper is a knave and Noah is a knight.", "Assume Noah is a knight. No contradiction is found in their claim that Harper is a knight and Avery is a knave.", "Avery cannot be a knight, because this would contradict the claim of Noah that Harper is a knight and Avery is a knave.", "Assume Avery is a knave. No contradiction is found in their false claim that Jacob is not a knave.", "Jacob cannot be a knight, because this would contradict the false claim of Avery that Jacob is not a knave.", "Jacob cannot be a knave, because this would contradict the false claim of their own that Avery is a knight if and only if Jacob is a knight.", "We have exhausted all possibilities for Jacob and Avery, so let us go back and reconsider Noah.", "Assume Noah is a knave. No contradiction is found in their false claim that Harper is a knight and Avery is a knave.", "Assume Avery is a knight. No contradiction is found in their claim that Jacob is not a knave.", "Assume Jacob is a knight. No contradiction is found in their claim that Avery is a knight if and only if Jacob is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 2), ('lying', 2)), ('not', ('lying', 4)), ('and', ('lying', 0), ('telling-truth', 3)), ('and', ('telling-truth', 0), ('lying', 1)), ('<=>', ('telling-truth', 1), ('telling-truth', 4)))", "index": 528}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Oliver, Jacob, Mason, Sebastian, and Aiden. In Oliver's words: \"Aiden is a knave if and only if Sebastian is a knight\". Jacob commented, \"Mason is a knave\". \"Oliver is a knave\" - Mason. \"Sebastian is a knight if and only if Aiden is a knight,\" Sebastian claimed. Aiden noted, \"Sebastian is a knave or Jacob is a knight\". So who is a knight and who is a knave?", "names": ["Oliver", "Jacob", "Mason", "Sebastian", "Aiden"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false, true], "solution_text": "Oliver is a knight, Jacob is a knight, Mason is a knave, Sebastian is a knave, and Aiden is a knight.", "solution_text_format": "(1) Oliver is a knight\n(2) Jacob is a knight\n(3) Mason is a knave\n(4) Sebastian is a knave\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 Oliver is a knight. No contradiction is found in their claim that Aiden is a knave if and only if Sebastian is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that Sebastian is a knave or Jacob is a knight.", "Sebastian cannot be a knight, because this would contradict the claim of Oliver that Aiden is a knave if and only if Sebastian is a knight.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Sebastian is a knight if and only if Aiden is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that Mason is a knave.", "Mason cannot be a knight, because this would contradict the claim of Jacob that Mason is a knave.", "Assume Mason is a knave. No contradiction is found in their false claim that Oliver is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 4), ('telling-truth', 3)), ('lying', 2), ('lying', 0), ('<=>', ('telling-truth', 3), ('telling-truth', 4)), ('or', ('lying', 3), ('telling-truth', 1)))", "index": 529}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Benjamin, Ava, Harper, Owen, and Charlotte. Benjamin stated, \"Charlotte is a knave and Harper is a knave\". According to Ava, \"Harper is a knight if and only if Harper is a knave\". Harper noted, \"Benjamin is a knight and Owen is a knight\". \"Ava is not a knight,\" Owen declared. \"Harper is a knave,\" Charlotte mentioned. So who is a knight and who is a knave?", "names": ["Benjamin", "Ava", "Harper", "Owen", "Charlotte"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true, true], "solution_text": "Benjamin is a knave, Ava is a knave, Harper is a knave, Owen is a knight, and Charlotte is a knight.", "solution_text_format": "(1) Benjamin is a knave\n(2) Ava is a knave\n(3) Harper is a knave\n(4) Owen 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 Benjamin is a knight. No contradiction is found in their claim that Charlotte is a knave and Harper is a knave.", "Charlotte cannot be a knight, because this would contradict the claim of Benjamin that Charlotte is a knave and Harper is a knave.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Harper is a knave.", "Harper cannot be a knight, because this would contradict the claim of Benjamin that Charlotte is a knave and Harper is a knave.", "Harper cannot be a knave, because this would contradict the false claim of Charlotte that Harper is a knave.", "We have exhausted all possibilities for Harper 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 and Harper is a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that Harper is a knave.", "Harper cannot be a knight, because this would contradict the claim of their own that Benjamin is a knight and Owen is a knight.", "Assume Harper is a knave. No contradiction is found in their false claim that Benjamin is a knight and Owen is a knight.", "Assume Owen 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 their own that Harper is a knight if and only if Harper is a knave.", "Assume Ava is a knave. No contradiction is found in their false claim that Harper is a knight if and only if Harper is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 4), ('lying', 2)), ('<=>', ('telling-truth', 2), ('lying', 2)), ('and', ('telling-truth', 0), ('telling-truth', 3)), ('not', ('telling-truth', 1)), ('lying', 2))", "index": 530}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Benjamin, Sebastian, Emma, Samuel, and Logan. Benjamin remarked, \"Samuel is a knight if and only if Emma is a knave\". As Sebastian put it, \"Samuel is a knight\". As Emma put it, \"Samuel is a knave or Samuel is a knight\". In Samuel's words: \"Emma is not a knave\". Logan was heard saying, \"Sebastian is a knave if and only if Emma is a knave\". So who is a knight and who is a knave?", "names": ["Benjamin", "Sebastian", "Emma", "Samuel", "Logan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, true], "solution_text": "Benjamin is a knave, Sebastian is a knight, Emma is a knight, Samuel is a knight, and Logan is a knight.", "solution_text_format": "(1) Benjamin is a knave\n(2) Sebastian is a knight\n(3) Emma is a knight\n(4) Samuel 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 Benjamin is a knight. No contradiction is found in their claim that Samuel is a knight if and only if Emma is a knave.", "Assume Samuel is a knight. No contradiction is found in their claim that Emma is not a knave.", "Emma cannot be a knight, because this would contradict the claim of Benjamin that Samuel is a knight if and only if Emma is a knave.", "Emma cannot be a knave, because this would contradict the false claim of their own that Samuel is a knave or Samuel is a knight.", "We have exhausted all possibilities for Emma, so let us go back and reconsider Samuel.", "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.", "Emma cannot be a knave, because this would contradict the claim of Benjamin that Samuel is a knight if and only if Emma is a knave.", "We have exhausted all possibilities for Emma and Samuel, so let us go back and reconsider Benjamin.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Samuel is a knight if and only if Emma is a knave.", "Assume Samuel is a knight. No contradiction is found in their claim that Emma is not a knave.", "Assume Emma is a knight. No contradiction is found in their claim that Samuel is a knave or Samuel is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Samuel is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that Sebastian is a knave if and only if Emma is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 3), ('lying', 2)), ('telling-truth', 3), ('or', ('lying', 3), ('telling-truth', 3)), ('not', ('lying', 2)), ('<=>', ('lying', 1), ('lying', 2)))", "index": 531}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Amelia, Isabella, Ella, Oliver, and Benjamin. In Amelia's words: \"Oliver is a knave\". In a statement by Isabella: \"Ella is a knave\". Ella commented, \"Oliver is a knave\". Oliver said, \"Oliver is a knight and Isabella is a knave.\" \"Ella is a knight and Isabella is a knight,\" Benjamin declared. So who is a knight and who is a knave?", "names": ["Amelia", "Isabella", "Ella", "Oliver", "Benjamin"], "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": "Amelia is a knight, Isabella is a knave, Ella is a knight, Oliver is a knave, and Benjamin is a knave.", "solution_text_format": "(1) Amelia is a knight\n(2) Isabella is a knave\n(3) Ella is a knight\n(4) Oliver is a knave\n(5) Benjamin is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Amelia is a knight. No contradiction is found in their claim that Oliver is a knave.", "Oliver cannot be a knight, because this would contradict the claim of Amelia that Oliver is a knave.", "Assume Oliver is a knave. No contradiction is found in their false claim that Oliver is a knight and Isabella is a knave.", "Assume Isabella is a knight. No contradiction is found in their claim that Ella is a knave.", "Ella cannot be a knight, because this would contradict the claim of Isabella that Ella is a knave.", "Ella cannot be a knave, because this would contradict the false claim of their own that Oliver is a knave.", "We have exhausted all possibilities for Ella, so let us go back and reconsider Isabella.", "Assume Isabella is a knave. No contradiction is found in their false claim that Ella is a knave.", "Assume Ella is a knight. No contradiction is found in their claim that Oliver is a knave.", "Benjamin cannot be a knight, because this would contradict the claim of their own that Ella is a knight and Isabella is a knight.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Ella is a knight and Isabella is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 3), ('lying', 2), ('lying', 3), ('and', ('telling-truth', 3), ('lying', 1)), ('and', ('telling-truth', 2), ('telling-truth', 1)))", "index": 532}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aurora, Jack, Grace, Jacob, and Benjamin. \"Benjamin is a knight,\" Aurora mentioned. Jack asserted: \"Jacob is a knight or Jacob is a knave\". Grace stated, \"If Jack is a knave then Aurora is a knight\". Jacob expressed that Grace is a knave and Benjamin is a knight. Benjamin asserted: \"Jack is a knight if and only if Jacob is a knave\". So who is a knight and who is a knave?", "names": ["Aurora", "Jack", "Grace", "Jacob", "Benjamin"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false, true], "solution_text": "Aurora is a knight, Jack is a knight, Grace is a knight, Jacob is a knave, and Benjamin is a knight.", "solution_text_format": "(1) Aurora is a knight\n(2) Jack is a knight\n(3) Grace is a knight\n(4) Jacob is a knave\n(5) 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 Aurora is a knight. No contradiction is found in their claim that Benjamin is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that Jack is a knight if and only if Jacob is a knave.", "Assume Jack is a knight. No contradiction is found in their claim that Jacob is a knight or Jacob is a knave.", "Jacob cannot be a knight, because this would contradict the claim of Benjamin that Jack is a knight if and only if Jacob is a knave.", "Assume Jacob is a knave. No contradiction is found in their false claim that Grace is a knave and Benjamin is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that If Jack is a knave then Aurora is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 4), ('or', ('telling-truth', 3), ('lying', 3)), ('->', ('lying', 1), ('telling-truth', 0)), ('and', ('lying', 2), ('telling-truth', 4)), ('<=>', ('telling-truth', 1), ('lying', 3)))", "index": 533}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Noah, Owen, Ella, Riley, and Benjamin. Noah noted, \"Owen is a knave or Riley is a knight\". \"Noah is a knight if and only if Owen is a knight,\" Owen claimed. \"Benjamin is a knight and Riley is a knave,\" Ella claimed. Riley expressed that Riley is a knight if and only if Ella is a knight. Benjamin stated, \"If Noah is a knave then Riley is a knave\". So who is a knight and who is a knave?", "names": ["Noah", "Owen", "Ella", "Riley", "Benjamin"], "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": "Noah is a knight, Owen is a knave, Ella is a knight, Riley is a knave, and Benjamin is a knight.", "solution_text_format": "(1) Noah is a knight\n(2) Owen is a knave\n(3) Ella is a knight\n(4) Riley is a knave\n(5) 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 Noah is a knight. No contradiction is found in their claim that Owen is a knave or Riley is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that Noah is a knight if and only if Owen is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that Riley is a knight if and only if Ella is a knight.", "Ella cannot be a knight, because this would contradict the claim of their own that Benjamin is a knight and Riley is a knave.", "Ella cannot be a knave, because this would contradict the claim of Riley that Riley is a knight if and only if Ella is a knight.", "We have exhausted all possibilities for Ella, so let us go back and reconsider Riley.", "Riley cannot be a knave, because this would contradict the claim of Noah that Owen is a knave or Riley is a knight.", "We have exhausted all possibilities for Riley, so let us go back and reconsider Owen.", "Assume Owen is a knave. No contradiction is found in their false claim that Noah is a knight if and only if Owen is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that Riley is a knight if and only if Ella is a knight.", "Ella cannot be a knight, because this would contradict the claim of their own that Benjamin is a knight and Riley is a knave.", "Ella cannot be a knave, because this would contradict the claim of Riley that Riley is a knight if and only if Ella is a knight.", "We have exhausted all possibilities for Ella, so let us go back and reconsider Riley.", "Assume Riley is a knave. No contradiction is found in their false claim that Riley is a knight if and only if Ella is a knight.", "Assume Ella is a knight. No contradiction is found in their claim that Benjamin is a knight and Riley is a knave.", "Assume Benjamin is a knight. No contradiction is found in their claim that If Noah is a knave then Riley is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('telling-truth', 3)), ('<=>', ('telling-truth', 0), ('telling-truth', 1)), ('and', ('telling-truth', 4), ('lying', 3)), ('<=>', ('telling-truth', 3), ('telling-truth', 2)), ('->', ('lying', 0), ('lying', 3)))", "index": 534}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: David, Logan, Scarlett, Aurora, and Sophia. David expressed that Aurora is a knave and Logan is a knave. In Logan's words: \"Sophia is a knave\". Scarlett remarked, \"David is a knight if and only if Sophia is a knight\". \"Logan is a knight\" - Aurora. Sophia stated, \"Scarlett is not a knave\". So who is a knight and who is a knave?", "names": ["David", "Logan", "Scarlett", "Aurora", "Sophia"], "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, Logan is a knave, Scarlett is a knight, Aurora is a knave, and Sophia is a knight.", "solution_text_format": "(1) David is a knight\n(2) Logan is a knave\n(3) Scarlett is a knight\n(4) Aurora 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 David is a knight. No contradiction is found in their claim that Aurora is a knave and Logan is a knave.", "Aurora cannot be a knight, because this would contradict the claim of David that Aurora is a knave and Logan is a knave.", "Assume Aurora 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 claim of David that Aurora is a knave and Logan is a knave.", "Assume Logan is a knave. No contradiction is found in their false claim that Sophia is a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that Scarlett is not a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that David is a knight if and only if Sophia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 3), ('lying', 1)), ('lying', 4), ('<=>', ('telling-truth', 0), ('telling-truth', 4)), ('telling-truth', 1), ('not', ('lying', 2)))", "index": 535}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Lily, Elizabeth, Grace, Henry, and Abigail. In a statement by Lily: \"Elizabeth is a knave\". Elizabeth commented, \"Henry is a knight\". \"Abigail is a knave if and only if Lily is a knave,\" Grace mentioned. In a statement by Henry: \"Lily is a knight if and only if Grace is a knave\". \"Abigail is a knight and Elizabeth is a knight,\" Abigail declared. So who is a knight and who is a knave?", "names": ["Lily", "Elizabeth", "Grace", "Henry", "Abigail"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, false], "solution_text": "Lily is a knave, Elizabeth is a knight, Grace is a knight, Henry is a knight, and Abigail is a knave.", "solution_text_format": "(1) Lily is a knave\n(2) Elizabeth is a knight\n(3) Grace is a knight\n(4) Henry 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 Lily is a knight. No contradiction is found in their claim that Elizabeth is a knave.", "Elizabeth cannot be a knight, because this would contradict the claim of Lily that Elizabeth is a knave.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Henry is a knight.", "Henry cannot be a knight, because this would contradict the false claim of Elizabeth that Henry is a knight.", "Assume Henry is a knave. No contradiction is found in their false claim that Lily is a knight if and only if Grace is a knave.", "Assume Grace is a knight. No contradiction is found in their claim that Abigail is a knave if and only if Lily is a knave.", "Abigail cannot be a knight, because this would contradict the claim of their own that Abigail is a knight and Elizabeth is a knight.", "Abigail cannot be a knave, because this would contradict the claim of Grace that Abigail is a knave if and only if Lily is a knave.", "We have exhausted all possibilities for Abigail, so let us go back and reconsider Grace.", "Grace cannot be a knave, because this would contradict the false claim of Henry that Lily is a knight if and only if Grace is a knave.", "We have exhausted all possibilities for Grace, Henry, and Elizabeth, so let us go back and reconsider Lily.", "Assume Lily is a knave. No contradiction is found in their false claim that Elizabeth is a knave.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Henry is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that Lily is a knight if and only if Grace is a knave.", "Assume Grace is a knight. No contradiction is found in their claim that Abigail is a knave if and only if Lily is a knave.", "Abigail cannot be a knight, because this would contradict the claim of Grace that Abigail is a knave if and only if Lily is a knave.", "Assume Abigail is a knave. No contradiction is found in their false claim that Abigail is a knight and Elizabeth is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('telling-truth', 3), ('<=>', ('lying', 4), ('lying', 0)), ('<=>', ('telling-truth', 0), ('lying', 2)), ('and', ('telling-truth', 4), ('telling-truth', 1)))", "index": 536}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Abigail, Liam, Owen, Scarlett, and Penelope. Abigail asserted: \"Scarlett is not a knave\". Liam said, \"Abigail is not a knight.\" \"Liam is not a knave,\" Owen claimed. Scarlett noted, \"Liam is a knight or Liam is a knave\". \"If Owen is a knight then Scarlett is a knave,\" Penelope declared. So who is a knight and who is a knave?", "names": ["Abigail", "Liam", "Owen", "Scarlett", "Penelope"], "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": "Abigail is a knight, Liam is a knave, Owen is a knave, Scarlett is a knight, and Penelope is a knight.", "solution_text_format": "(1) Abigail is a knight\n(2) Liam is a knave\n(3) Owen is a knave\n(4) Scarlett is a knight\n(5) Penelope is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Abigail is a knight. No contradiction is found in their claim that Scarlett is not a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that Liam is a knight or Liam is a knave.", "Liam cannot be a knight, because this would contradict the claim of their own that Abigail is not a knight.", "Assume Liam is a knave. No contradiction is found in their false claim that Abigail is not a knight.", "Owen cannot be a knight, because this would contradict the claim of their own that Liam is not a knave.", "Assume Owen is a knave. No contradiction is found in their false claim that Liam is not a knave.", "Assume Penelope is a knight. No contradiction is found in their claim that If Owen is a knight then Scarlett is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 3)), ('not', ('telling-truth', 0)), ('not', ('lying', 1)), ('or', ('telling-truth', 1), ('lying', 1)), ('->', ('telling-truth', 2), ('lying', 3)))", "index": 537}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Michael, Mason, Logan, Penelope, and Jacob. \"If Michael is a knight then Logan is a knave,\" Michael mentioned. Mason noted, \"If Michael is a knight then Penelope is a knave\". In a statement by Logan: \"Penelope is not a knight\". Penelope remarked, \"Penelope is a knight or Jacob is a knight\". Jacob told you that Penelope is a knight and Mason is a knight. So who is a knight and who is a knave?", "names": ["Michael", "Mason", "Logan", "Penelope", "Jacob"], "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": "Michael is a knight, Mason is a knave, Logan is a knave, Penelope is a knight, and Jacob is a knave.", "solution_text_format": "(1) Michael is a knight\n(2) Mason is a knave\n(3) Logan 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 Michael is a knight. No contradiction is found in their claim that If Michael is a knight then Logan is a knave.", "Logan cannot be a knight, because this would contradict the claim of Michael that If Michael is a knight then Logan is a knave.", "Assume Logan is a knave. No contradiction is found in their false claim that Penelope is not a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that Penelope is a knight or Jacob is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that Penelope is a knight and Mason is a knight.", "Mason cannot be a knight, because this would contradict the claim of their own that If Michael is a knight then Penelope is a knave.", "Mason cannot be a knave, because this would contradict the claim of Jacob that Penelope is a knight and Mason is a knight.", "We have exhausted all possibilities for Mason, so let us go back and reconsider Jacob.", "Assume Jacob is a knave. No contradiction is found in their false claim that Penelope is a knight and Mason is a knight.", "Mason cannot be a knight, because this would contradict the claim of their own that If Michael is a knight then Penelope is a knave.", "Assume Mason is a knave. No contradiction is found in their false claim that If Michael is a knight then Penelope is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 0), ('lying', 2)), ('->', ('telling-truth', 0), ('lying', 3)), ('not', ('telling-truth', 3)), ('or', ('telling-truth', 3), ('telling-truth', 4)), ('and', ('telling-truth', 3), ('telling-truth', 1)))", "index": 538}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Lucas, Ava, Abigail, Mason, and Mia. \"Mason is a knave\" - Lucas. As Ava put it, \"Mia is a knave or Mason is a knave\". Abigail expressed that Mia is a knave if and only if Lucas is a knight. \"Lucas is a knight and Abigail is a knave,\" Mason declared. Mia commented, \"If Mason is a knave then Mia is a knight\". So who is a knight and who is a knave?", "names": ["Lucas", "Ava", "Abigail", "Mason", "Mia"], "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": "Lucas is a knight, Ava is a knight, Abigail is a knight, Mason is a knave, and Mia is a knave.", "solution_text_format": "(1) Lucas is a knight\n(2) Ava is a knight\n(3) Abigail is a knight\n(4) Mason 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 Lucas is a knight. No contradiction is found in their claim that Mason is a knave.", "Mason cannot be a knight, because this would contradict the claim of Lucas that Mason is a knave.", "Assume Mason is a knave. No contradiction is found in their false claim that Lucas is a knight and Abigail is a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that Mia is a knave if and only if Lucas is a knight.", "Mia cannot be a knight, because this would contradict the claim of Abigail that Mia is a knave if and only if Lucas is a knight.", "Assume Mia is a knave. No contradiction is found in their false claim that If Mason is a knave then Mia is a knight.", "Assume Ava is a knight. No contradiction is found in their claim that Mia is a knave or Mason is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 3), ('or', ('lying', 4), ('lying', 3)), ('<=>', ('lying', 4), ('telling-truth', 0)), ('and', ('telling-truth', 0), ('lying', 2)), ('->', ('lying', 3), ('telling-truth', 4)))", "index": 539}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Jackson, Elizabeth, Grace, Michael, and Zoey. Jackson stated, \"Grace is not a knave\". Elizabeth was heard saying, \"Jackson is a knave\". According to Grace, \"Michael is not a knight\". As Michael put it, \"Elizabeth is a knight or Zoey is a knight\". \"If Grace is a knave then Elizabeth is a knave,\" Zoey claimed. So who is a knight and who is a knave?", "names": ["Jackson", "Elizabeth", "Grace", "Michael", "Zoey"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true, false], "solution_text": "Jackson is a knave, Elizabeth is a knight, Grace is a knave, Michael is a knight, and Zoey is a knave.", "solution_text_format": "(1) Jackson is a knave\n(2) Elizabeth is a knight\n(3) Grace is a knave\n(4) Michael is a knight\n(5) Zoey is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jackson is a knight. No contradiction is found in their claim that Grace is not a knave.", "Assume Grace is a knight. No contradiction is found in their claim that Michael is not a knight.", "Michael cannot be a knight, because this would contradict the claim of Grace that Michael is not a knight.", "Assume Michael is a knave. No contradiction is found in their false claim that Elizabeth is a knight or Zoey is a knight.", "Elizabeth cannot be a knight, because this would contradict the claim of their own that Jackson is a knave.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Jackson is a knave.", "Zoey cannot be a knight, because this would contradict the false claim of Michael that Elizabeth is a knight or Zoey is a knight.", "Zoey cannot be a knave, because this would contradict the false claim of their own that If Grace is a knave then Elizabeth is a knave.", "We have exhausted all possibilities for Zoey, Elizabeth, and Michael, so let us go back and reconsider Grace.", "Grace cannot be a knave, because this would contradict the claim of Jackson that Grace is not a knave.", "We have exhausted all possibilities for Grace, so let us go back and reconsider Jackson.", "Assume Jackson is a knave. No contradiction is found in their false claim that Grace is not a knave.", "Grace cannot be a knight, because this would contradict the false claim of Jackson that Grace is not a knave.", "Assume Grace is a knave. No contradiction is found in their false claim that Michael is not a knight.", "Assume Michael is a knight. No contradiction is found in their claim that Elizabeth is a knight or Zoey is a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Jackson is a knave.", "Zoey cannot be a knight, because this would contradict the claim of their own that If Grace is a knave then Elizabeth is a knave.", "Assume Zoey is a knave. No contradiction is found in their false claim that If Grace is a knave then Elizabeth is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 2)), ('lying', 0), ('not', ('telling-truth', 3)), ('or', ('telling-truth', 1), ('telling-truth', 4)), ('->', ('lying', 2), ('lying', 1)))", "index": 540}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Daniel, Harper, Owen, Benjamin, and Jackson. Daniel noted, \"Jackson is a knight and Jackson is a knave\". In Harper's words: \"Benjamin is a knave if and only if Owen is a knave\". \"Harper is a knight or Benjamin is a knight,\" Owen claimed. Benjamin remarked, \"Daniel is a knave or Jackson is a knave\". In a statement by Jackson: \"Daniel is not a knight\". So who is a knight and who is a knave?", "names": ["Daniel", "Harper", "Owen", "Benjamin", "Jackson"], "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": "Daniel is a knave, Harper is a knight, Owen is a knight, Benjamin is a knight, and Jackson is a knight.", "solution_text_format": "(1) Daniel is a knave\n(2) Harper is a knight\n(3) Owen is a knight\n(4) Benjamin is a knight\n(5) Jackson is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Daniel cannot be a knight, because this would contradict the claim of their own that Jackson is a knight and Jackson is a knave.", "Assume Daniel is a knave. No contradiction is found in their false claim that Jackson is a knight and Jackson is a knave.", "Assume Jackson is a knight. No contradiction is found in their claim that Daniel is not a knight.", "Assume Harper is a knight. No contradiction is found in their claim that Benjamin is a knave if and only if Owen is a knave.", "Assume Benjamin is a knight. No contradiction is found in their claim that Daniel is a knave or Jackson is a knave.", "Assume Owen is a knight. No contradiction is found in their claim that Harper is a knight or Benjamin is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 4), ('lying', 4)), ('<=>', ('lying', 3), ('lying', 2)), ('or', ('telling-truth', 1), ('telling-truth', 3)), ('or', ('lying', 0), ('lying', 4)), ('not', ('telling-truth', 0)))", "index": 541}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: William, Scarlett, Ethan, Olivia, and Jacob. According to William, \"Ethan is a knave\". \"If Jacob is a knave then William is a knave,\" Scarlett declared. Ethan told you that Jacob is a knight if and only if Olivia is a knave. \"If Jacob is a knight then William is a knight,\" Olivia declared. In Jacob's words: \"Ethan is a knight or Olivia is a knave\". So who is a knight and who is a knave?", "names": ["William", "Scarlett", "Ethan", "Olivia", "Jacob"], "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": "William is a knave, Scarlett is a knight, Ethan is a knight, Olivia is a knave, and Jacob is a knight.", "solution_text_format": "(1) William is a knave\n(2) Scarlett is a knight\n(3) Ethan is a knight\n(4) Olivia is a knave\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 William is a knight. No contradiction is found in their claim that Ethan is a knave.", "Ethan cannot be a knight, because this would contradict the claim of William that Ethan is a knave.", "Assume Ethan is a knave. No contradiction is found in their false claim that Jacob is a knight if and only if Olivia is a knave.", "Assume Jacob is a knight. No contradiction is found in their claim that Ethan is a knight or Olivia is a knave.", "Olivia cannot be a knight, because this would contradict the claim of Jacob that Ethan is a knight or Olivia is a knave.", "Olivia cannot be a knave, because this would contradict the false claim of Ethan that Jacob is a knight if and only if Olivia is a knave.", "We have exhausted all possibilities for Olivia, so let us go back and reconsider Jacob.", "Assume Jacob is a knave. No contradiction is found in their false claim that Ethan is a knight or Olivia is a knave.", "Olivia cannot be a knight, because this would contradict the false claim of Ethan that Jacob is a knight if and only if Olivia is a knave.", "Olivia cannot be a knave, because this would contradict the false claim of their own that If Jacob is a knight then William is a knight.", "We have exhausted all possibilities for Olivia, Jacob, 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 a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that Jacob is a knight if and only if Olivia is a knave.", "Assume Jacob is a knight. No contradiction is found in their claim that Ethan is a knight or Olivia is a knave.", "Olivia cannot be a knight, because this would contradict the claim of Ethan that Jacob is a knight if and only if Olivia is a knave.", "Assume Olivia is a knave. No contradiction is found in their false claim that If Jacob is a knight then William is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that If Jacob is a knave then William is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 2), ('->', ('lying', 4), ('lying', 0)), ('<=>', ('telling-truth', 4), ('lying', 3)), ('->', ('telling-truth', 4), ('telling-truth', 0)), ('or', ('telling-truth', 2), ('lying', 3)))", "index": 542}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Matthew, Isabella, Elizabeth, Scarlett, and Zoey. Matthew said that Elizabeth is a knave if and only if Elizabeth is a knight. According to Isabella, \"If Matthew is a knight then Elizabeth is a knave\". Elizabeth said, \"Isabella is a knight.\" Scarlett commented, \"If Elizabeth is a knave then Matthew is a knave\". \"If Isabella is a knave then Scarlett is a knave\" - Zoey. So who is a knight and who is a knave?", "names": ["Matthew", "Isabella", "Elizabeth", "Scarlett", "Zoey"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, true], "solution_text": "Matthew is a knave, Isabella is a knight, Elizabeth is a knight, Scarlett is a knight, and Zoey is a knight.", "solution_text_format": "(1) Matthew is a knave\n(2) Isabella is a knight\n(3) Elizabeth is a knight\n(4) Scarlett is a knight\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": ["Matthew cannot be a knight, because this would contradict the claim of their own that Elizabeth is a knave if and only if Elizabeth is a knight.", "Assume Matthew is a knave. No contradiction is found in their false claim that Elizabeth is a knave if and only if Elizabeth is a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Isabella is a knight.", "Assume Isabella is a knight. No contradiction is found in their claim that If Matthew is a knight then Elizabeth is a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that If Elizabeth is a knave then Matthew is a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that If Isabella is a knave then Scarlett is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 2), ('telling-truth', 2)), ('->', ('telling-truth', 0), ('lying', 2)), ('telling-truth', 1), ('->', ('lying', 2), ('lying', 0)), ('->', ('lying', 1), ('lying', 3)))", "index": 543}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Michael, Abigail, Samuel, Charlotte, and Lily. Michael noted, \"If Lily is a knave then Lily is a knight\". Abigail said, \"Samuel is not a knave.\" Samuel remarked, \"If Charlotte is a knight then Lily is a knight\". Charlotte said that Michael is a knight. Lily said, \"If Charlotte is a knight then Michael is a knight.\" So who is a knight and who is a knave?", "names": ["Michael", "Abigail", "Samuel", "Charlotte", "Lily"], "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": "Michael is a knight, Abigail is a knight, Samuel is a knight, Charlotte is a knight, and Lily is a knight.", "solution_text_format": "(1) Michael is a knight\n(2) Abigail is a knight\n(3) Samuel is a knight\n(4) Charlotte 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": ["Assume Michael is a knight. No contradiction is found in their claim that If Lily is a knave then Lily is a knight.", "Assume Lily is a knight. No contradiction is found in their claim that If Charlotte is a knight then Michael is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that Michael is a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that Samuel is not a knave.", "Assume Samuel is a knight. No contradiction is found in their claim that If Charlotte is a knight then Lily is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 4), ('telling-truth', 4)), ('not', ('lying', 2)), ('->', ('telling-truth', 3), ('telling-truth', 4)), ('telling-truth', 0), ('->', ('telling-truth', 3), ('telling-truth', 0)))", "index": 544}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Luke, Scarlett, Joseph, Ethan, and Ella. \"Scarlett is a knight and Ella is a knight,\" Luke claimed. Scarlett said, \"Ella is a knave and Joseph is a knave.\" Joseph told you that Ella is a knave or Luke is a knave. As Ethan put it, \"Joseph is a knave if and only if Scarlett is a knight\". Ella noted, \"Luke is a knight if and only if Scarlett is a knave\". So who is a knight and who is a knave?", "names": ["Luke", "Scarlett", "Joseph", "Ethan", "Ella"], "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": "Luke is a knave, Scarlett is a knave, Joseph is a knight, Ethan is a knight, and Ella is a knave.", "solution_text_format": "(1) Luke is a knave\n(2) Scarlett is a knave\n(3) Joseph is a knight\n(4) Ethan is a knight\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 Luke is a knight. No contradiction is found in their claim that Scarlett is a knight and Ella is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that Ella is a knave and Joseph is a knave.", "Ella cannot be a knight, because this would contradict the claim of Scarlett that Ella is a knave and Joseph is a knave.", "Ella cannot be a knave, because this would contradict the claim of Luke that Scarlett is a knight and Ella is a knight.", "We have exhausted all possibilities for Ella, so let us go back and reconsider Scarlett.", "Scarlett cannot be a knave, because this would contradict the claim of Luke that Scarlett is a knight and Ella is a knight.", "We have exhausted all possibilities for Scarlett, so let us go back and reconsider Luke.", "Assume Luke is a knave. No contradiction is found in their false claim that Scarlett is a knight and Ella is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that Ella is a knave and Joseph is a knave.", "Ella cannot be a knight, because this would contradict the false claim of Luke that Scarlett is a knight and Ella is a knight.", "Ella cannot be a knave, because this would contradict the false claim of their own that Luke is a knight if and only if Scarlett is a knave.", "We have exhausted all possibilities for Ella, so let us go back and reconsider Scarlett.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Ella is a knave and Joseph is a knave.", "Ella cannot be a knight, because this would contradict the claim of their own that Luke is a knight if and only if Scarlett is a knave.", "Assume Ella is a knave. No contradiction is found in their false claim that Luke is a knight if and only if Scarlett is a knave.", "Assume Joseph is a knight. No contradiction is found in their claim that Ella is a knave or Luke is a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that Joseph is a knave if and only if Scarlett is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('telling-truth', 4)), ('and', ('lying', 4), ('lying', 2)), ('or', ('lying', 4), ('lying', 0)), ('<=>', ('lying', 2), ('telling-truth', 1)), ('<=>', ('telling-truth', 0), ('lying', 1)))", "index": 545}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Benjamin, Ethan, Logan, Samuel, and Elizabeth. Benjamin remarked, \"Samuel is not a knight\". Ethan asserted: \"Logan is a knave\". Logan remarked, \"Benjamin is not a knight\". Samuel was heard saying, \"Benjamin is a knight if and only if Logan is a knave\". \"Logan is a knave or Samuel is a knave,\" Elizabeth declared. So who is a knight and who is a knave?", "names": ["Benjamin", "Ethan", "Logan", "Samuel", "Elizabeth"], "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": "Benjamin is a knave, Ethan is a knave, Logan is a knight, Samuel is a knight, and Elizabeth is a knave.", "solution_text_format": "(1) Benjamin is a knave\n(2) Ethan is a knave\n(3) Logan is a knight\n(4) Samuel 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 Benjamin 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 Benjamin that Samuel is not a knight.", "Assume Samuel is a knave. No contradiction is found in their false claim that Benjamin is a knight if and only if Logan is a knave.", "Logan cannot be a knight, because this would contradict the claim of their own that Benjamin is not a knight.", "Logan cannot be a knave, because this would contradict the false claim of Samuel that Benjamin is a knight if and only if Logan is a knave.", "We have exhausted all possibilities for Logan and Samuel, so let us go back and reconsider Benjamin.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Samuel is not a knight.", "Assume Samuel is a knight. No contradiction is found in their claim that Benjamin is a knight if and only if Logan is a knave.", "Assume Logan is a knight. No contradiction is found in their claim that Benjamin is not a knight.", "Ethan cannot be a knight, because this would contradict the claim of their own that Logan is a knave.", "Assume Ethan is a knave. No contradiction is found in their false claim that Logan is a knave.", "Elizabeth cannot be a knight, because this would contradict the claim of their own that Logan is a knave or Samuel is a knave.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Logan is a knave or Samuel is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 3)), ('lying', 2), ('not', ('telling-truth', 0)), ('<=>', ('telling-truth', 0), ('lying', 2)), ('or', ('lying', 2), ('lying', 3)))", "index": 546}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Samuel, Amelia, Lily, Oliver, and Aurora. \"Aurora is a knave or Amelia is a knight,\" Samuel mentioned. \"If Aurora is a knight then Lily is a knight\" - Amelia. \"Oliver is a knave and Amelia is a knight,\" Lily claimed. Oliver commented, \"Amelia is a knight and Aurora is a knight\". Aurora was heard saying, \"Aurora is a knight if and only if Samuel is a knight\". So who is a knight and who is a knave?", "names": ["Samuel", "Amelia", "Lily", "Oliver", "Aurora"], "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": "Samuel is a knight, Amelia is a knight, Lily is a knight, Oliver is a knave, and Aurora is a knave.", "solution_text_format": "(1) Samuel is a knight\n(2) Amelia is a knight\n(3) Lily is a knight\n(4) Oliver is a knave\n(5) Aurora is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Samuel is a knight. No contradiction is found in their claim that Aurora is a knave or Amelia is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that Aurora is a knight if and only if Samuel is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that If Aurora is a knight then Lily is a knight.", "Assume Lily is a knight. No contradiction is found in their claim that Oliver is a knave and Amelia is a knight.", "Oliver cannot be a knight, because this would contradict the claim of Lily that Oliver is a knave and Amelia is a knight.", "Oliver cannot be a knave, because this would contradict the false claim of their own that Amelia is a knight and Aurora is a knight.", "We have exhausted all possibilities for Oliver, so let us go back and reconsider Lily.", "Lily cannot be a knave, because this would contradict the claim of Amelia that If Aurora is a knight then Lily is a knight.", "We have exhausted all possibilities for Lily, so let us go back and reconsider Amelia.", "Amelia cannot be a knave, because this would contradict the claim of Samuel that Aurora is a knave or Amelia is a knight.", "We have exhausted all possibilities for Amelia, so let us go back and reconsider Aurora.", "Assume Aurora is a knave. No contradiction is found in their false claim that Aurora is a knight if and only if Samuel is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that If Aurora is a knight then Lily is a knight.", "Assume Lily is a knight. No contradiction is found in their claim that Oliver is a knave and Amelia is a knight.", "Oliver cannot be a knight, because this would contradict the claim of Lily that Oliver is a knave and Amelia is a knight.", "Assume Oliver is a knave. No contradiction is found in their false claim that Amelia is a knight and Aurora is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 4), ('telling-truth', 1)), ('->', ('telling-truth', 4), ('telling-truth', 2)), ('and', ('lying', 3), ('telling-truth', 1)), ('and', ('telling-truth', 1), ('telling-truth', 4)), ('<=>', ('telling-truth', 4), ('telling-truth', 0)))", "index": 547}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Penelope, Grace, Elizabeth, Benjamin, and Aria. Penelope said that Benjamin is a knight and Elizabeth is a knight. \"Aria is a knight,\" Grace claimed. \"Grace is a knave or Aria is a knave,\" Elizabeth mentioned. Benjamin said that Benjamin is a knight or Elizabeth is a knight. Aria said that Elizabeth is a knight and Grace is a knight. So who is a knight and who is a knave?", "names": ["Penelope", "Grace", "Elizabeth", "Benjamin", "Aria"], "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": "Penelope is a knight, Grace is a knave, Elizabeth is a knight, Benjamin is a knight, and Aria is a knave.", "solution_text_format": "(1) Penelope is a knight\n(2) Grace is a knave\n(3) Elizabeth is a knight\n(4) Benjamin is a knight\n(5) Aria is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Penelope is a knight. No contradiction is found in their claim that Benjamin is a knight and Elizabeth is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that Benjamin is a knight or Elizabeth is a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Grace is a knave or Aria is a knave.", "Assume Grace is a knight. No contradiction is found in their claim that Aria is a knight.", "Aria cannot be a knight, because this would contradict the claim of Elizabeth that Grace is a knave or Aria is a knave.", "Aria cannot be a knave, because this would contradict the claim of Grace that Aria is a knight.", "We have exhausted all possibilities for Aria, so let us go back and reconsider Grace.", "Assume Grace is a knave. No contradiction is found in their false claim that Aria is a knight.", "Aria cannot be a knight, because this would contradict the false claim of Grace that Aria is a knight.", "Assume Aria is a knave. No contradiction is found in their false claim that Elizabeth is a knight and Grace is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 3), ('telling-truth', 2)), ('telling-truth', 4), ('or', ('lying', 1), ('lying', 4)), ('or', ('telling-truth', 3), ('telling-truth', 2)), ('and', ('telling-truth', 2), ('telling-truth', 1)))", "index": 548}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Owen, Zoey, Sofia, Elizabeth, and Isabella. Owen said, \"Isabella is not a knight.\" As Zoey put it, \"If Sofia is a knight then Owen is a knight\". \"Elizabeth is a knight,\" Sofia mentioned. In Elizabeth's words: \"Owen is a knight and Isabella is a knight\". \"Elizabeth is a knight and Sofia is a knight,\" Isabella mentioned. So who is a knight and who is a knave?", "names": ["Owen", "Zoey", "Sofia", "Elizabeth", "Isabella"], "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": "Owen is a knight, Zoey is a knight, Sofia is a knave, Elizabeth is a knave, and Isabella is a knave.", "solution_text_format": "(1) Owen is a knight\n(2) Zoey is a knight\n(3) Sofia is a knave\n(4) Elizabeth is a knave\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 Owen is a knight. No contradiction is found in their claim that Isabella is not a knight.", "Isabella cannot be a knight, because this would contradict the claim of Owen that Isabella is not a knight.", "Assume Isabella is a knave. No contradiction is found in their false claim that Elizabeth is a knight and Sofia is a knight.", "Elizabeth cannot be a knight, because this would contradict the claim of their own that Owen is a knight and Isabella is a knight.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Owen is a knight and Isabella is a knight.", "Sofia cannot be a knight, because this would contradict the claim of their own that Elizabeth is a knight.", "Assume Sofia is a knave. No contradiction is found in their false claim that Elizabeth is a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that If Sofia is a knight then Owen is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 4)), ('->', ('telling-truth', 2), ('telling-truth', 0)), ('telling-truth', 3), ('and', ('telling-truth', 0), ('telling-truth', 4)), ('and', ('telling-truth', 3), ('telling-truth', 2)))", "index": 549}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Matthew, Ava, Lucas, Abigail, and Owen. \"Matthew is a knight or Ava is a knight,\" Matthew declared. Ava said, \"Ava is a knight if and only if Abigail is a knight.\" Lucas noted, \"Ava is not a knight\". Abigail was heard saying, \"Matthew is a knave or Owen is a knight\". In a statement by Owen: \"Abigail is a knight if and only if Abigail is a knave\". So who is a knight and who is a knave?", "names": ["Matthew", "Ava", "Lucas", "Abigail", "Owen"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true, false], "solution_text": "Matthew is a knave, Ava is a knave, Lucas is a knight, Abigail is a knight, and Owen is a knave.", "solution_text_format": "(1) Matthew is a knave\n(2) Ava is a knave\n(3) Lucas is a knight\n(4) Abigail is a knight\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 Matthew is a knight. No contradiction is found in their claim that Matthew is a knight or Ava is a knight.", "Assume Ava is a knight. No contradiction is found in their claim that Ava is a knight if and only if Abigail is a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that Matthew is a knave or Owen is a knight.", "Owen cannot be a knight, because this would contradict the claim of their own that Abigail is a knight if and only if Abigail is a knave.", "Owen cannot be a knave, because this would contradict the claim of Abigail that Matthew is a knave or Owen is a knight.", "We have exhausted all possibilities for Owen, so let us go back and reconsider Abigail.", "Abigail cannot be a knave, because this would contradict the claim of Ava that Ava is a knight if and only if Abigail is a knight.", "We have exhausted all possibilities for Abigail, so let us go back and reconsider Ava.", "Assume Ava is a knave. No contradiction is found in their false claim that Ava is a knight if and only if Abigail is a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that Matthew is a knave or Owen is a knight.", "Owen cannot be a knight, because this would contradict the claim of their own that Abigail is a knight if and only if Abigail is a knave.", "Owen cannot be a knave, because this would contradict the claim of Abigail that Matthew is a knave or Owen is a knight.", "We have exhausted all possibilities for Owen, so let us go back and reconsider Abigail.", "Abigail cannot be a knave, because this would contradict the false claim of Ava that Ava is a knight if and only if Abigail is a knight.", "We have exhausted all possibilities for Abigail and Ava, so let us go back and reconsider Matthew.", "Assume Matthew is a knave. No contradiction is found in their false claim that Matthew is a knight or Ava is a knight.", "Ava cannot be a knight, because this would contradict the false claim of Matthew that Matthew is a knight or Ava is a knight.", "Assume Ava is a knave. No contradiction is found in their false claim that Ava is a knight if and only if Abigail is a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that Matthew is a knave or Owen is a knight.", "Owen cannot be a knight, because this would contradict the claim of their own that Abigail is a knight if and only if Abigail is a knave.", "Assume Owen is a knave. No contradiction is found in their false claim that Abigail is a knight if and only if Abigail is a knave.", "Assume Lucas is a knight. No contradiction is found in their claim that Ava is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 0), ('telling-truth', 1)), ('<=>', ('telling-truth', 1), ('telling-truth', 3)), ('not', ('telling-truth', 1)), ('or', ('lying', 0), ('telling-truth', 4)), ('<=>', ('telling-truth', 3), ('lying', 3)))", "index": 550}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Ella, Owen, Evelyn, Olivia, and Liam. Ella remarked, \"Olivia is not a knave\". Owen said that Ella is a knave and Evelyn is a knave. Evelyn was heard saying, \"If Ella is a knight then Evelyn is a knight\". \"Liam is a knight\" - Olivia. \"Owen is a knight,\" Liam claimed. So who is a knight and who is a knave?", "names": ["Ella", "Owen", "Evelyn", "Olivia", "Liam"], "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": "Ella is a knave, Owen is a knave, Evelyn is a knight, Olivia is a knave, and Liam is a knave.", "solution_text_format": "(1) Ella is a knave\n(2) Owen is a knave\n(3) Evelyn is a knight\n(4) Olivia is a knave\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 Ella is a knight. No contradiction is found in their claim that Olivia is not a knave.", "Assume Olivia is a knight. No contradiction is found in their claim that Liam is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that Owen is a knight.", "Owen cannot be a knight, because this would contradict the claim of their own that Ella is a knave and Evelyn is a knave.", "Owen cannot be a knave, because this would contradict the claim of Liam that Owen is a knight.", "We have exhausted all possibilities for Owen, 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.", "We have exhausted all possibilities for Liam, so let us go back and reconsider Olivia.", "Olivia cannot be a knave, because this would contradict the claim of Ella that Olivia is not a knave.", "We have exhausted all possibilities for Olivia, so let us go back and reconsider Ella.", "Assume Ella is a knave. No contradiction is found in their false claim that Olivia is not a knave.", "Olivia cannot be a knight, because this would contradict the false claim of Ella that Olivia is not a knave.", "Assume Olivia is a knave. No contradiction is found in their false claim that Liam is a knight.", "Liam cannot be a knight, because this would contradict the false claim of Olivia that Liam is a knight.", "Assume Liam is a knave. No contradiction is found in their false claim that Owen is a knight.", "Owen cannot be a knight, because this would contradict the false claim of Liam that Owen is a knight.", "Assume Owen is a knave. No contradiction is found in their false claim that Ella is a knave and Evelyn is a knave.", "Assume Evelyn is a knight. No contradiction is found in their claim that If Ella is a knight then Evelyn is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 3)), ('and', ('lying', 0), ('lying', 2)), ('->', ('telling-truth', 0), ('telling-truth', 2)), ('telling-truth', 4), ('telling-truth', 1))", "index": 551}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: William, Henry, Victoria, Samuel, and Grace. \"Grace is a knight,\" William mentioned. Henry expressed that If William is a knight then Grace is a knight. Victoria noted, \"Samuel is a knight and William is a knave\". Samuel stated, \"Victoria is not a knight\". Grace was heard saying, \"Victoria is a knave\". So who is a knight and who is a knave?", "names": ["William", "Henry", "Victoria", "Samuel", "Grace"], "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": "William is a knight, Henry is a knight, Victoria is a knave, Samuel is a knight, and Grace is a knight.", "solution_text_format": "(1) William is a knight\n(2) Henry is a knight\n(3) Victoria is a knave\n(4) Samuel 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 William 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 Victoria is a knave.", "Victoria cannot be a knight, because this would contradict the claim of their own that Samuel is a knight and William is a knave.", "Assume Victoria is a knave. No contradiction is found in their false claim that Samuel is a knight and William is a knave.", "Assume Samuel is a knight. No contradiction is found in their claim that Victoria is not a knight.", "Assume Henry is a knight. No contradiction is found in their claim that If William is a knight then Grace is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 4), ('->', ('telling-truth', 0), ('telling-truth', 4)), ('and', ('telling-truth', 3), ('lying', 0)), ('not', ('telling-truth', 2)), ('lying', 2))", "index": 552}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Evelyn, Grace, Mia, Mason, and Aria. Evelyn asserted: \"Aria is not a knave\". Grace said, \"Mason is a knave.\" Mia commented, \"Grace is not a knave\". Mason stated, \"Aria is a knight and Aria is a knave\". Aria said, \"Grace is a knave.\" So who is a knight and who is a knave?", "names": ["Evelyn", "Grace", "Mia", "Mason", "Aria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false, false], "solution_text": "Evelyn is a knave, Grace is a knight, Mia is a knight, Mason is a knave, and Aria is a knave.", "solution_text_format": "(1) Evelyn is a knave\n(2) Grace is a knight\n(3) Mia is a knight\n(4) Mason is a knave\n(5) Aria is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Evelyn is a knight. No contradiction is found in their claim that Aria is not a knave.", "Assume Aria is a knight. No contradiction is found in their claim that Grace is a knave.", "Grace cannot be a knight, because this would contradict the claim of Aria that Grace is a knave.", "Assume Grace is a knave. No contradiction is found in their false claim that Mason is a knave.", "Mason cannot be a knight, because this would contradict the claim of their own that Aria is a knight and Aria is a knave.", "Mason cannot be a knave, because this would contradict the false claim of Grace that Mason is a knave.", "We have exhausted all possibilities for Mason and Grace, so let us go back and reconsider Aria.", "Aria cannot be a knave, because this would contradict the claim of Evelyn that Aria is not a knave.", "We have exhausted all possibilities for Aria, so let us go back and reconsider Evelyn.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Aria is not a knave.", "Aria cannot be a knight, because this would contradict the false claim of Evelyn that Aria is not a knave.", "Assume Aria is a knave. No contradiction is found in their false claim that Grace is a knave.", "Assume Grace is a knight. No contradiction is found in their claim that Mason is a knave.", "Mason cannot be a knight, because this would contradict the claim of Grace that Mason is a knave.", "Assume Mason is a knave. No contradiction is found in their false claim that Aria is a knight and Aria is a knave.", "Assume Mia is a knight. No contradiction is found in their claim that Grace is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 4)), ('lying', 3), ('not', ('lying', 1)), ('and', ('telling-truth', 4), ('lying', 4)), ('lying', 1))", "index": 553}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Charlotte, Daniel, Noah, Harper, and Jack. \"Daniel is not a knight,\" Charlotte claimed. Daniel said that If Harper is a knave then Harper is a knight. According to Noah, \"Harper is not a knave\". \"Charlotte is a knight or Jack is a knight,\" Harper claimed. \"Charlotte is a knave\" - Jack. So who is a knight and who is a knave?", "names": ["Charlotte", "Daniel", "Noah", "Harper", "Jack"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, true], "solution_text": "Charlotte is a knave, Daniel is a knight, Noah is a knight, Harper is a knight, and Jack is a knight.", "solution_text_format": "(1) Charlotte is a knave\n(2) Daniel is a knight\n(3) Noah is a knight\n(4) Harper 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 Charlotte is a knight. No contradiction is found in their claim that Daniel is not a knight.", "Daniel cannot be a knight, because this would contradict the claim of Charlotte that Daniel is not a knight.", "Assume Daniel is a knave. No contradiction is found in their false claim that If Harper is a knave then Harper is a knight.", "Harper cannot be a knight, because this would contradict the false claim of Daniel that If Harper is a knave then Harper is a knight.", "Harper cannot be a knave, because this would contradict the false claim of their own that Charlotte is a knight or Jack is a knight.", "We have exhausted all possibilities for Harper and Daniel, so let us go back and reconsider Charlotte.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Daniel is not a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that If Harper is a knave then Harper is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that Charlotte is a knight or Jack is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that Charlotte is a knave.", "Assume Noah is a knight. No contradiction is found in their claim that Harper is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('->', ('lying', 3), ('telling-truth', 3)), ('not', ('lying', 3)), ('or', ('telling-truth', 0), ('telling-truth', 4)), ('lying', 0))", "index": 554}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aria, Elizabeth, Matthew, Sebastian, and Michael. Aria noted, \"If Michael is a knight then Michael is a knave\". Elizabeth said that Michael is a knight and Aria is a knight. Matthew told you that Sebastian is a knight if and only if Michael is a knave. Sebastian commented, \"Elizabeth is a knight or Matthew is a knave\". Michael commented, \"Aria is a knight or Sebastian is a knave\". So who is a knight and who is a knave?", "names": ["Aria", "Elizabeth", "Matthew", "Sebastian", "Michael"], "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": "Aria is a knave, Elizabeth is a knave, Matthew is a knight, Sebastian is a knave, and Michael is a knight.", "solution_text_format": "(1) Aria is a knave\n(2) Elizabeth is a knave\n(3) Matthew is a knight\n(4) Sebastian is a knave\n(5) Michael is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aria is a knight. No contradiction is found in their claim that If Michael is a knight then Michael is a knave.", "Michael cannot be a knight, because this would contradict the claim of Aria that If Michael is a knight then Michael is a knave.", "Michael cannot be a knave, because this would contradict the false claim of their own that Aria is a knight or Sebastian is a knave.", "We have exhausted all possibilities for Michael, so let us go back and reconsider Aria.", "Assume Aria is a knave. No contradiction is found in their false claim that If Michael is a knight then Michael is a knave.", "Assume Michael is a knight. No contradiction is found in their claim that Aria is a knight or Sebastian is a knave.", "Sebastian cannot be a knight, because this would contradict the claim of Michael that Aria is a knight or Sebastian is a knave.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Elizabeth is a knight or Matthew is a knave.", "Elizabeth cannot be a knight, because this would contradict the claim of their own that Michael is a knight and Aria is a knight.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Michael is a knight and Aria is a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that Sebastian is a knight if and only if Michael is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 4), ('lying', 4)), ('and', ('telling-truth', 4), ('telling-truth', 0)), ('<=>', ('telling-truth', 3), ('lying', 4)), ('or', ('telling-truth', 1), ('lying', 2)), ('or', ('telling-truth', 0), ('lying', 3)))", "index": 555}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Chloe, Ella, Grace, Amelia, and Alexander. \"Alexander is a knight and Ella is a knight\" - Chloe. Ella told you that Alexander is not a knave. Grace said that Amelia is a knight and Amelia is a knave. Amelia said, \"Grace is not a knave.\" \"Chloe is a knight if and only if Alexander is a knight\" - Alexander. So who is a knight and who is a knave?", "names": ["Chloe", "Ella", "Grace", "Amelia", "Alexander"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false, true], "solution_text": "Chloe is a knight, Ella is a knight, Grace is a knave, Amelia is a knave, and Alexander is a knight.", "solution_text_format": "(1) Chloe is a knight\n(2) Ella is a knight\n(3) Grace is a knave\n(4) Amelia is a knave\n(5) Alexander is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Chloe is a knight. No contradiction is found in their claim that Alexander is a knight and Ella is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that Chloe is a knight if and only if Alexander is a knight.", "Assume Ella is a knight. No contradiction is found in their claim that Alexander is not a knave.", "Grace cannot be a knight, because this would contradict the claim of their own that Amelia is a knight and Amelia is a knave.", "Assume Grace is a knave. No contradiction is found in their false claim that Amelia is a knight and Amelia is a knave.", "Amelia cannot be a knight, because this would contradict the claim of their own that Grace is not a knave.", "Assume Amelia is a knave. No contradiction is found in their false claim that Grace is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 4), ('telling-truth', 1)), ('not', ('lying', 4)), ('and', ('telling-truth', 3), ('lying', 3)), ('not', ('lying', 2)), ('<=>', ('telling-truth', 0), ('telling-truth', 4)))", "index": 556}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Olivia, Zoey, Abigail, Sophia, and Amelia. Olivia said, \"Sophia is a knight.\" Zoey was heard saying, \"Amelia is a knight and Abigail is a knight\". Abigail was heard saying, \"Abigail is a knight\". Sophia was heard saying, \"Amelia is not a knight\". In Amelia's words: \"If Amelia is a knight then Zoey is a knave\". So who is a knight and who is a knave?", "names": ["Olivia", "Zoey", "Abigail", "Sophia", "Amelia"], "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": "Olivia is a knave, Zoey is a knave, Abigail is a knave, Sophia is a knave, and Amelia is a knight.", "solution_text_format": "(1) Olivia is a knave\n(2) Zoey is a knave\n(3) Abigail is a knave\n(4) Sophia is a knave\n(5) Amelia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Olivia is a knight. No contradiction is found in their claim that Sophia is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that Amelia is not a knight.", "Amelia cannot be a knight, because this would contradict the claim of Sophia that Amelia is not a knight.", "Amelia cannot be a knave, because this would contradict the false claim of their own that If Amelia is a knight then Zoey is a knave.", "We have exhausted all possibilities for Amelia, so let us go back and reconsider Sophia.", "Sophia cannot be a knave, because this would contradict the claim of Olivia that Sophia is a knight.", "We have exhausted all possibilities for Sophia, so let us go back and reconsider Olivia.", "Assume Olivia is a knave. No contradiction is found in their false claim that Sophia is a knight.", "Sophia cannot be a knight, because this would contradict the false claim of Olivia that Sophia is a knight.", "Assume Sophia is a knave. No contradiction is found in their false claim that Amelia is not a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that If Amelia is a knight then Zoey is a knave.", "Zoey cannot be a knight, because this would contradict the claim of Amelia that If Amelia is a knight then Zoey is a knave.", "Assume Zoey is a knave. No contradiction is found in their false claim that Amelia is a knight and Abigail is a knight.", "Abigail cannot be a knight, because this would contradict the false claim of Zoey that Amelia is a knight and Abigail is a knight.", "Assume Abigail is a knave. No contradiction is found in their false claim that Abigail is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 3), ('and', ('telling-truth', 4), ('telling-truth', 2)), ('telling-truth', 2), ('not', ('telling-truth', 4)), ('->', ('telling-truth', 4), ('lying', 1)))", "index": 557}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Lucas, Aiden, Isabella, Daniel, and Jack. Lucas commented, \"Isabella is not a knave\". Aiden expressed that Isabella is a knight if and only if Daniel is a knave. Isabella was heard saying, \"Jack is a knight if and only if Daniel is a knave\". \"Isabella is a knight or Jack is a knave\" - Daniel. Jack told you that Jack is a knight or Daniel is a knave. So who is a knight and who is a knave?", "names": ["Lucas", "Aiden", "Isabella", "Daniel", "Jack"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, false], "solution_text": "Lucas is a knight, Aiden is a knave, Isabella is a knight, Daniel is a knight, and Jack is a knave.", "solution_text_format": "(1) Lucas is a knight\n(2) Aiden is a knave\n(3) Isabella is a knight\n(4) Daniel is a knight\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 Lucas is a knight. No contradiction is found in their claim that Isabella is not a knave.", "Assume Isabella is a knight. No contradiction is found in their claim that Jack is a knight if and only if Daniel is a knave.", "Assume Jack is a knight. No contradiction is found in their claim that Jack is a knight or Daniel is a knave.", "Daniel cannot be a knight, because this would contradict the claim of Isabella that Jack is a knight if and only if Daniel is a knave.", "Daniel cannot be a knave, because this would contradict the false claim of their own that Isabella is a knight or Jack is a knave.", "We have exhausted all possibilities for Daniel, so let us go back and reconsider Jack.", "Assume Jack is a knave. No contradiction is found in their false claim that Jack is a knight or Daniel is a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that Isabella is a knight or Jack is a knave.", "Aiden cannot be a knight, because this would contradict the claim of their own that Isabella is a knight if and only if Daniel is a knave.", "Assume Aiden is a knave. No contradiction is found in their false claim that Isabella is a knight if and only if Daniel is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 2)), ('<=>', ('telling-truth', 2), ('lying', 3)), ('<=>', ('telling-truth', 4), ('lying', 3)), ('or', ('telling-truth', 2), ('lying', 4)), ('or', ('telling-truth', 4), ('lying', 3)))", "index": 558}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Jacob, Logan, Scarlett, Zoey, and Chloe. Jacob stated, \"Zoey is a knight and Logan is a knight\". Logan commented, \"Scarlett is not a knave\". Scarlett noted, \"Jacob is a knave or Zoey is a knight\". Zoey stated, \"Logan is a knight or Scarlett is a knave\". \"If Jacob is a knave then Logan is a knight,\" Chloe claimed. So who is a knight and who is a knave?", "names": ["Jacob", "Logan", "Scarlett", "Zoey", "Chloe"], "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": "Jacob is a knight, Logan is a knight, Scarlett is a knight, Zoey is a knight, and Chloe is a knight.", "solution_text_format": "(1) Jacob is a knight\n(2) Logan is a knight\n(3) Scarlett is a knight\n(4) Zoey is a knight\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 Jacob is a knight. No contradiction is found in their claim that Zoey is a knight and Logan is a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that Logan is a knight or Scarlett is a knave.", "Assume Logan is a knight. No contradiction is found in their claim that Scarlett is not a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that Jacob is a knave or Zoey is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that If Jacob is a knave then Logan is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 3), ('telling-truth', 1)), ('not', ('lying', 2)), ('or', ('lying', 0), ('telling-truth', 3)), ('or', ('telling-truth', 1), ('lying', 2)), ('->', ('lying', 0), ('telling-truth', 1)))", "index": 559}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aria, Olivia, Charlotte, Riley, and Jack. Aria asserted: \"Olivia is a knight and Jack is a knave\". According to Olivia, \"If Charlotte is a knight then Aria is a knight\". Charlotte expressed that Charlotte is a knight. \"If Jack is a knave then Charlotte is a knave\" - Riley. \"Riley is a knight if and only if Aria is a knight,\" Jack declared. So who is a knight and who is a knave?", "names": ["Aria", "Olivia", "Charlotte", "Riley", "Jack"], "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": "Aria is a knight, Olivia is a knight, Charlotte is a knight, Riley is a knave, and Jack is a knave.", "solution_text_format": "(1) Aria is a knight\n(2) Olivia is a knight\n(3) Charlotte is a knight\n(4) Riley 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 Aria is a knight. No contradiction is found in their claim that Olivia is a knight and Jack is a knave.", "Assume Olivia is a knight. No contradiction is found in their claim that If Charlotte is a knight then Aria is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that Charlotte is a knight.", "Jack cannot be a knight, because this would contradict the claim of Aria that Olivia is a knight and Jack is a knave.", "Assume Jack is a knave. No contradiction is found in their false claim that Riley is a knight if and only if Aria is a knight.", "Riley cannot be a knight, because this would contradict the claim of their own that If Jack is a knave then Charlotte is a knave.", "Assume Riley is a knave. No contradiction is found in their false claim that If Jack is a knave then Charlotte is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('lying', 4)), ('->', ('telling-truth', 2), ('telling-truth', 0)), ('telling-truth', 2), ('->', ('lying', 4), ('lying', 2)), ('<=>', ('telling-truth', 3), ('telling-truth', 0)))", "index": 560}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Scarlett, Mia, William, Harper, and Emily. In a statement by Scarlett: \"If Harper is a knave then Mia is a knave\". In a statement by Mia: \"William is a knight and Harper is a knave\". In William's words: \"Mia is a knight and Harper is a knight\". Harper stated, \"If William is a knave then Scarlett is a knave\". \"If Scarlett is a knave then Harper is a knight,\" Emily mentioned. So who is a knight and who is a knave?", "names": ["Scarlett", "Mia", "William", "Harper", "Emily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false, true], "solution_text": "Scarlett is a knight, Mia is a knave, William is a knave, Harper is a knave, and Emily is a knight.", "solution_text_format": "(1) Scarlett is a knight\n(2) Mia is a knave\n(3) William is a knave\n(4) Harper is a knave\n(5) 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 Scarlett is a knight. No contradiction is found in their claim that If Harper is a knave then Mia is a knave.", "Assume Harper is a knight. No contradiction is found in their claim that If William is a knave then Scarlett is a knave.", "Assume William is a knight. No contradiction is found in their claim that Mia is a knight and Harper is a knight.", "Mia cannot be a knight, because this would contradict the claim of their own that William is a knight and Harper is a knave.", "Mia cannot be a knave, because this would contradict the claim of William that Mia is a knight and Harper is a knight.", "We have exhausted all possibilities for Mia, so let us go back and reconsider William.", "William cannot be a knave, because this would contradict the claim of Harper that If William is a knave then Scarlett is a knave.", "We have exhausted all possibilities for William, so let us go back and reconsider Harper.", "Assume Harper is a knave. No contradiction is found in their false claim that If William is a knave then Scarlett is a knave.", "William cannot be a knight, because this would contradict the claim of their own that Mia is a knight and Harper is a knight.", "Assume William is a knave. No contradiction is found in their false claim that Mia is a knight and Harper is a knight.", "Mia cannot be a knight, because this would contradict the claim of Scarlett that If Harper is a knave then Mia is a knave.", "Assume Mia is a knave. No contradiction is found in their false claim that William is a knight and Harper is a knave.", "Assume Emily is a knight. No contradiction is found in their claim that If Scarlett is a knave then Harper is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 3), ('lying', 1)), ('and', ('telling-truth', 2), ('lying', 3)), ('and', ('telling-truth', 1), ('telling-truth', 3)), ('->', ('lying', 2), ('lying', 0)), ('->', ('lying', 0), ('telling-truth', 3)))", "index": 561}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Liam, Jacob, Aiden, Scarlett, and Evelyn. Liam asserted: \"Liam is a knight or Evelyn is a knight\". Jacob commented, \"Evelyn is a knight if and only if Scarlett is a knight\". Aiden stated, \"Evelyn is a knave if and only if Scarlett is a knight\". Scarlett said, \"Liam is a knight.\" \"Liam is a knave or Scarlett is a knave,\" Evelyn declared. So who is a knight and who is a knave?", "names": ["Liam", "Jacob", "Aiden", "Scarlett", "Evelyn"], "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": "Liam is a knight, Jacob is a knave, Aiden is a knight, Scarlett is a knight, and Evelyn is a knave.", "solution_text_format": "(1) Liam is a knight\n(2) Jacob is a knave\n(3) Aiden is a knight\n(4) Scarlett is a knight\n(5) 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 Liam is a knight. No contradiction is found in their claim that Liam is a knight or Evelyn is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that Liam is a knave or Scarlett is a knave.", "Scarlett cannot be a knight, because this would contradict the claim of Evelyn that Liam is a knave or Scarlett is a knave.", "Scarlett cannot be a knave, because this would contradict the false claim of their own that Liam is a knight.", "We have exhausted all possibilities for Scarlett, so let us go back and reconsider Evelyn.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Liam is a knave or Scarlett is a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that Liam is a knight.", "Jacob cannot be a knight, because this would contradict the claim of their own that Evelyn is a knight if and only if Scarlett is a knight.", "Assume Jacob is a knave. No contradiction is found in their false claim that Evelyn is a knight if and only if Scarlett is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that Evelyn is a knave if and only if Scarlett is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 0), ('telling-truth', 4)), ('<=>', ('telling-truth', 4), ('telling-truth', 3)), ('<=>', ('lying', 4), ('telling-truth', 3)), ('telling-truth', 0), ('or', ('lying', 0), ('lying', 3)))", "index": 562}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Abigail, Daniel, Joseph, Owen, and Grace. Abigail noted, \"Daniel is a knight if and only if Joseph is a knight\". \"Grace is a knight,\" Daniel claimed. Joseph commented, \"Daniel is a knave if and only if Owen is a knight\". Owen asserted: \"Abigail is a knight and Grace is a knight\". \"Joseph is a knight and Abigail is a knave\" - Grace. So who is a knight and who is a knave?", "names": ["Abigail", "Daniel", "Joseph", "Owen", "Grace"], "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": "Abigail is a knight, Daniel is a knave, Joseph is a knave, Owen is a knave, and Grace is a knave.", "solution_text_format": "(1) Abigail is a knight\n(2) Daniel is a knave\n(3) Joseph is a knave\n(4) Owen is a knave\n(5) Grace is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Abigail is a knight. No contradiction is found in their claim that Daniel is a knight if and only if Joseph is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that Grace is a knight.", "Grace cannot be a knight, because this would contradict the claim of their own that Joseph is a knight and Abigail is a knave.", "Grace cannot be a knave, because this would contradict the claim of Daniel that Grace is a knight.", "We have exhausted all possibilities for Grace, so let us go back and reconsider Daniel.", "Assume Daniel is a knave. No contradiction is found in their false claim that Grace is a knight.", "Grace cannot be a knight, because this would contradict the false claim of Daniel that Grace is a knight.", "Assume Grace is a knave. No contradiction is found in their false claim that Joseph is a knight and Abigail is a knave.", "Joseph cannot be a knight, because this would contradict the claim of Abigail that Daniel is a knight if and only if Joseph is a knight.", "Assume Joseph is a knave. No contradiction is found in their false claim that Daniel is a knave if and only if Owen is a knight.", "Owen cannot be a knight, because this would contradict the false claim of Joseph that Daniel is a knave if and only if Owen is a knight.", "Assume Owen is a knave. No contradiction is found in their false claim that Abigail is a knight and Grace is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('telling-truth', 2)), ('telling-truth', 4), ('<=>', ('lying', 1), ('telling-truth', 3)), ('and', ('telling-truth', 0), ('telling-truth', 4)), ('and', ('telling-truth', 2), ('lying', 0)))", "index": 563}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Logan, Abigail, Joseph, Jackson, and Daniel. Logan noted, \"Joseph is a knight\". According to Abigail, \"Logan is not a knight\". Joseph remarked, \"Daniel is a knight\". Jackson commented, \"Abigail is a knight\". \"If Logan is a knight then Jackson is a knave,\" Daniel declared. So who is a knight and who is a knave?", "names": ["Logan", "Abigail", "Joseph", "Jackson", "Daniel"], "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": "Logan is a knight, Abigail is a knave, Joseph is a knight, Jackson is a knave, and Daniel is a knight.", "solution_text_format": "(1) Logan is a knight\n(2) Abigail is a knave\n(3) Joseph is a knight\n(4) Jackson is a knave\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 Logan is a knight. No contradiction is found in their claim that Joseph is a knight.", "Assume Joseph is a knight. No contradiction is found in their claim that Daniel is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that If Logan is a knight then Jackson is a knave.", "Jackson cannot be a knight, because this would contradict the claim of Daniel that If Logan is a knight then Jackson is a knave.", "Assume Jackson is a knave. No contradiction is found in their false claim that Abigail is a knight.", "Abigail cannot be a knight, because this would contradict the claim of their own that Logan is not a knight.", "Assume Abigail is a knave. No contradiction is found in their false claim that Logan is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 2), ('not', ('telling-truth', 0)), ('telling-truth', 4), ('telling-truth', 1), ('->', ('telling-truth', 0), ('lying', 3)))", "index": 564}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Logan, Daniel, David, Ella, and Oliver. Logan was heard saying, \"David is a knave or Logan is a knight\". Daniel was heard saying, \"Logan is not a knight\". \"Ella is not a knave\" - David. Ella said that David is a knave and Daniel is a knight. In a statement by Oliver: \"If Daniel is a knight then Logan is a knave\". So who is a knight and who is a knave?", "names": ["Logan", "Daniel", "David", "Ella", "Oliver"], "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": "Logan is a knight, Daniel is a knave, David is a knave, Ella is a knave, and Oliver is a knight.", "solution_text_format": "(1) Logan is a knight\n(2) Daniel is a knave\n(3) David is a knave\n(4) Ella is a knave\n(5) Oliver is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Logan is a knight. No contradiction is found in their claim that David is a knave or Logan is a knight.", "Assume David is a knight. No contradiction is found in their claim that Ella is not a knave.", "Ella cannot be a knight, because this would contradict the claim of their own that David is a knave and Daniel is a knight.", "Ella cannot be a knave, because this would contradict the claim of David that Ella is not a knave.", "We have exhausted all possibilities for Ella, so let us go back and reconsider David.", "Assume David 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 David that Ella is not a knave.", "Assume Ella is a knave. No contradiction is found in their false claim that David is a knave and Daniel is a knight.", "Daniel cannot be a knight, because this would contradict the claim of their own that Logan is not a knight.", "Assume Daniel is a knave. No contradiction is found in their false claim that Logan is not a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that If Daniel is a knight then Logan is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 2), ('telling-truth', 0)), ('not', ('telling-truth', 0)), ('not', ('lying', 3)), ('and', ('lying', 2), ('telling-truth', 1)), ('->', ('telling-truth', 1), ('lying', 0)))", "index": 565}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Penelope, Matthew, Jacob, Elizabeth, and Chloe. According to Penelope, \"Elizabeth is a knight or Chloe is a knight\". Matthew remarked, \"If Penelope is a knave then Jacob is a knave\". In a statement by Jacob: \"Matthew is a knight\". Elizabeth said that If Matthew is a knight then Matthew is a knave. Chloe said that If Elizabeth is a knight then Matthew is a knave. So who is a knight and who is a knave?", "names": ["Penelope", "Matthew", "Jacob", "Elizabeth", "Chloe"], "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": "Penelope is a knight, Matthew is a knight, Jacob is a knight, Elizabeth is a knave, and Chloe is a knight.", "solution_text_format": "(1) Penelope is a knight\n(2) Matthew is a knight\n(3) Jacob is a knight\n(4) Elizabeth 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 Penelope is a knight. No contradiction is found in their claim that Elizabeth is a knight or Chloe is a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that If Matthew is a knight then Matthew is a knave.", "Matthew cannot be a knight, because this would contradict the claim of Elizabeth that If Matthew is a knight then Matthew is a knave.", "Matthew cannot be a knave, because this would contradict the false claim of their own that If Penelope is a knave then Jacob is a knave.", "We have exhausted all possibilities for Matthew, so let us go back and reconsider Elizabeth.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that If Matthew is a knight then Matthew is a knave.", "Assume Matthew is a knight. No contradiction is found in their claim that If Penelope is a knave then Jacob is a knave.", "Assume Jacob is a knight. No contradiction is found in their claim that Matthew is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that If Elizabeth is a knight then Matthew is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 3), ('telling-truth', 4)), ('->', ('lying', 0), ('lying', 2)), ('telling-truth', 1), ('->', ('telling-truth', 1), ('lying', 1)), ('->', ('telling-truth', 3), ('lying', 1)))", "index": 566}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Emily, Noah, Sofia, Ella, and Samuel. Emily said, \"Sofia is a knave or Ella is a knight.\" \"Ella is a knight if and only if Emily is a knight,\" Noah mentioned. Sofia told you that Noah is a knave or Samuel is a knave. Ella asserted: \"Emily is a knave or Samuel is a knight\". In Samuel's words: \"If Ella is a knave then Emily is a knave\". So who is a knight and who is a knave?", "names": ["Emily", "Noah", "Sofia", "Ella", "Samuel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true, true], "solution_text": "Emily is a knight, Noah is a knight, Sofia is a knave, Ella is a knight, and Samuel is a knight.", "solution_text_format": "(1) Emily is a knight\n(2) Noah is a knight\n(3) Sofia is a knave\n(4) Ella is a knight\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 Emily is a knight. No contradiction is found in their claim that Sofia is a knave or Ella is a knight.", "Assume Sofia is a knight. No contradiction is found in their claim that Noah is a knave or Samuel is a knave.", "Assume Noah is a knight. No contradiction is found in their claim that Ella is a knight if and only if Emily is a knight.", "Assume Ella is a knight. No contradiction is found in their claim that Emily is a knave or Samuel is a knight.", "Samuel cannot be a knight, because this would contradict the claim of Sofia that Noah is a knave or Samuel is a knave.", "Samuel cannot be a knave, because this would contradict the claim of Ella that Emily is a knave or Samuel is a knight.", "We have exhausted all possibilities for Samuel, so let us go back and reconsider Ella.", "Ella cannot be a knave, because this would contradict the claim of Emily that Sofia is a knave or Ella is a knight.", "We have exhausted all possibilities for Ella, so let us go back and reconsider Noah.", "Assume Noah is a knave. No contradiction is found in their false claim that Ella is a knight if and only if Emily is a knight.", "Ella cannot be a knight, because this would contradict the false claim of Noah that Ella is a knight if and only if Emily is a knight.", "Ella cannot be a knave, because this would contradict the claim of Emily that Sofia is a knave or Ella is a knight.", "We have exhausted all possibilities for Ella and Noah, so let us go back and reconsider Sofia.", "Assume Sofia is a knave. No contradiction is found in their false claim that Noah is a knave or Samuel is a knave.", "Assume Noah is a knight. No contradiction is found in their claim that Ella is a knight if and only if Emily is a knight.", "Assume Ella is a knight. No contradiction is found in their claim that Emily is a knave or Samuel is a knight.", "Assume Samuel is a knight. No contradiction is found in their claim that If Ella is a knave then Emily is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 2), ('telling-truth', 3)), ('<=>', ('telling-truth', 3), ('telling-truth', 0)), ('or', ('lying', 1), ('lying', 4)), ('or', ('lying', 0), ('telling-truth', 4)), ('->', ('lying', 3), ('lying', 0)))", "index": 567}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Daniel, Grace, Luke, James, and Samuel. Daniel said, \"If Samuel is a knave then Luke is a knave.\" As Grace put it, \"If James is a knight then Samuel is a knave\". Luke remarked, \"If Daniel is a knight then Luke is a knight\". James stated, \"If Samuel is a knight then Luke is a knight\". Samuel stated, \"Daniel is a knave and Luke is a knight\". So who is a knight and who is a knave?", "names": ["Daniel", "Grace", "Luke", "James", "Samuel"], "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, Grace is a knight, Luke is a knave, James is a knight, and Samuel is a knave.", "solution_text_format": "(1) Daniel is a knight\n(2) Grace is a knight\n(3) Luke is a knave\n(4) James is a knight\n(5) Samuel is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Daniel is a knight. No contradiction is found in their claim that If Samuel is a knave then Luke is a knave.", "Samuel cannot be a knight, because this would contradict the claim of their own that Daniel is a knave and Luke is a knight.", "Assume Samuel is a knave. No contradiction is found in their false claim that Daniel is a knave and Luke is a knight.", "Luke cannot be a knight, because this would contradict the claim of Daniel that If Samuel is a knave then Luke is a knave.", "Assume Luke is a knave. No contradiction is found in their false claim that If Daniel is a knight then Luke is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that If James is a knight then Samuel is a knave.", "Assume James is a knight. No contradiction is found in their claim that If Samuel is a knight then Luke is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 4), ('lying', 2)), ('->', ('telling-truth', 3), ('lying', 4)), ('->', ('telling-truth', 0), ('telling-truth', 2)), ('->', ('telling-truth', 4), ('telling-truth', 2)), ('and', ('lying', 0), ('telling-truth', 2)))", "index": 568}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Alexander, Owen, Daniel, Sebastian, and Luke. Alexander said, \"Alexander is a knight if and only if Luke is a knave.\" Owen said that If Daniel is a knave then Sebastian is a knave. As Daniel put it, \"Alexander is a knave if and only if Owen is a knave\". Sebastian said that Luke is a knave and Owen is a knave. Luke remarked, \"If Sebastian is a knave then Alexander is a knight\". So who is a knight and who is a knave?", "names": ["Alexander", "Owen", "Daniel", "Sebastian", "Luke"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false, false], "solution_text": "Alexander is a knave, Owen is a knight, Daniel is a knave, Sebastian is a knave, and Luke is a knave.", "solution_text_format": "(1) Alexander is a knave\n(2) Owen is a knight\n(3) Daniel is a knave\n(4) Sebastian 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 Alexander is a knight. No contradiction is found in their claim that Alexander is a knight if and only if Luke is a knave.", "Luke cannot be a knight, because this would contradict the claim of Alexander that Alexander is a knight if and only if Luke is a knave.", "Luke cannot be a knave, because this would contradict the false claim of their own that If Sebastian is a knave then Alexander is a knight.", "We have exhausted all possibilities for Luke, so let us go back and reconsider Alexander.", "Assume Alexander is a knave. No contradiction is found in their false claim that Alexander is a knight if and only if Luke is a knave.", "Luke cannot be a knight, because this would contradict the false claim of Alexander that Alexander is a knight if and only if Luke is a knave.", "Assume Luke is a knave. No contradiction is found in their false claim that If Sebastian is a knave then Alexander is a knight.", "Sebastian cannot be a knight, because this would contradict the false claim of Luke that If Sebastian is a knave then Alexander is a knight.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Luke is a knave and Owen is a knave.", "Assume Owen is a knight. No contradiction is found in their claim that If Daniel is a knave then Sebastian is a knave.", "Daniel cannot be a knight, because this would contradict the claim of their own that Alexander is a knave if and only if Owen is a knave.", "Assume Daniel is a knave. No contradiction is found in their false claim that Alexander is a knave if and only if Owen is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 0), ('lying', 4)), ('->', ('lying', 2), ('lying', 3)), ('<=>', ('lying', 0), ('lying', 1)), ('and', ('lying', 4), ('lying', 1)), ('->', ('lying', 3), ('telling-truth', 0)))", "index": 569}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aria, Ethan, Charlotte, Sophia, and Lily. Aria was heard saying, \"Charlotte is a knave if and only if Sophia is a knave\". In Ethan's words: \"Aria is a knight or Sophia is a knave\". \"Lily is a knave and Ethan is a knight\" - Charlotte. Sophia expressed that Charlotte is not a knight. In a statement by Lily: \"Charlotte is a knave or Aria is a knave\". So who is a knight and who is a knave?", "names": ["Aria", "Ethan", "Charlotte", "Sophia", "Lily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true, true], "solution_text": "Aria is a knave, Ethan is a knave, Charlotte is a knave, Sophia is a knight, and Lily is a knight.", "solution_text_format": "(1) Aria is a knave\n(2) Ethan is a knave\n(3) Charlotte is a knave\n(4) Sophia 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": ["Assume Aria is a knight. No contradiction is found in their claim that Charlotte is a knave if and only if Sophia is a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that Lily is a knave and Ethan is a knight.", "Lily cannot be a knight, because this would contradict the claim of Charlotte that Lily is a knave and Ethan is a knight.", "Assume Lily is a knave. No contradiction is found in their false claim that Charlotte is a knave or Aria is a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that Aria is a knight or Sophia is a knave.", "Sophia cannot be a knight, because this would contradict the claim of their own that Charlotte is not a knight.", "Sophia cannot be a knave, because this would contradict the claim of Aria that Charlotte is a knave if and only if Sophia is a knave.", "We have exhausted all possibilities for Sophia, so let us go back and reconsider Ethan.", "Ethan cannot be a knave, because this would contradict the false claim of their own that Aria is a knight or Sophia is a knave.", "We have exhausted all possibilities for Ethan and Lily, so let us go back and reconsider Charlotte.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Lily is a knave and Ethan is a knight.", "Assume Lily is a knight. No contradiction is found in their claim that Charlotte is a knave or Aria is a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that Aria is a knight or Sophia is a knave.", "Sophia cannot be a knight, because this would contradict the claim of Aria that Charlotte is a knave if and only if Sophia is a knave.", "Sophia cannot be a knave, because this would contradict the false claim of their own that Charlotte is not a knight.", "We have exhausted all possibilities for Sophia, so let us go back and reconsider Ethan.", "Ethan cannot be a knave, because this would contradict the false claim of their own that Aria is a knight or Sophia is a knave.", "We have exhausted all possibilities for Ethan, so let us go back and reconsider Lily.", "Lily cannot be a knave, because this would contradict the false claim of their own that Charlotte is a knave or Aria is a knave.", "We have exhausted all possibilities for Lily and Charlotte, so let us go back and reconsider Aria.", "Assume Aria is a knave. No contradiction is found in their false claim that Charlotte is a knave if and only if Sophia is a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that Lily is a knave and Ethan is a knight.", "Lily cannot be a knight, because this would contradict the claim of Charlotte that Lily is a knave and Ethan is a knight.", "Lily cannot be a knave, because this would contradict the false claim of their own that Charlotte is a knave or Aria is a knave.", "We have exhausted all possibilities for Lily, so let us go back and reconsider Charlotte.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Lily is a knave and Ethan is a knight.", "Assume Lily is a knight. No contradiction is found in their claim that Charlotte is a knave or Aria is a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that Aria is a knight or Sophia is a knave.", "Sophia cannot be a knight, because this would contradict the claim of Ethan that Aria is a knight or Sophia is a knave.", "Sophia cannot be a knave, because this would contradict the false claim of Aria that Charlotte is a knave if and only if Sophia is a knave.", "We have exhausted all possibilities for Sophia, so let us go back and reconsider Ethan.", "Assume Ethan is a knave. No contradiction is found in their false claim that Aria is a knight or Sophia is a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that Charlotte is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 2), ('lying', 3)), ('or', ('telling-truth', 0), ('lying', 3)), ('and', ('lying', 4), ('telling-truth', 1)), ('not', ('telling-truth', 2)), ('or', ('lying', 2), ('lying', 0)))", "index": 570}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Harper, Sofia, Lily, Victoria, and Aria. Harper stated, \"Victoria is a knave or Victoria is a knight\". \"Victoria is a knight and Lily is a knave,\" Sofia declared. \"Sofia is not a knight,\" Lily mentioned. Victoria commented, \"Sofia is a knave if and only if Lily is a knave\". Aria remarked, \"Victoria is a knave or Sofia is a knave\". So who is a knight and who is a knave?", "names": ["Harper", "Sofia", "Lily", "Victoria", "Aria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false, true], "solution_text": "Harper is a knight, Sofia is a knave, Lily is a knight, Victoria is a knave, and Aria is a knight.", "solution_text_format": "(1) Harper is a knight\n(2) Sofia is a knave\n(3) Lily is a knight\n(4) Victoria is a knave\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 Harper is a knight. No contradiction is found in their claim that Victoria is a knave or Victoria is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that Sofia is a knave if and only if Lily is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that Victoria is a knight and Lily is a knave.", "Lily cannot be a knight, because this would contradict the claim of Sofia that Victoria is a knight and Lily is a knave.", "Lily cannot be a knave, because this would contradict the claim of Victoria that Sofia is a knave if and only if Lily is a knave.", "We have exhausted all possibilities for Lily, so let us go back and reconsider Sofia.", "Assume Sofia is a knave. No contradiction is found in their false claim that Victoria is a knight and Lily is a knave.", "Lily cannot be a knight, because this would contradict the claim of Victoria that Sofia is a knave if and only if Lily is a knave.", "Lily cannot be a knave, because this would contradict the false claim of Sofia that Victoria is a knight and Lily is a knave.", "We have exhausted all possibilities for Lily and Sofia, so let us go back and reconsider Victoria.", "Assume Victoria is a knave. No contradiction is found in their false claim that Sofia is a knave if and only if Lily is a knave.", "Sofia cannot be a knight, because this would contradict the claim of their own that Victoria is a knight and Lily is a knave.", "Assume Sofia is a knave. No contradiction is found in their false claim that Victoria is a knight and Lily is a knave.", "Assume Lily is a knight. No contradiction is found in their claim that Sofia is not a knight.", "Assume Aria is a knight. No contradiction is found in their claim that Victoria is a knave or Sofia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 3), ('telling-truth', 3)), ('and', ('telling-truth', 3), ('lying', 2)), ('not', ('telling-truth', 1)), ('<=>', ('lying', 1), ('lying', 2)), ('or', ('lying', 3), ('lying', 1)))", "index": 571}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Avery, Mia, Alexander, Liam, and Michael. As Avery put it, \"Liam is not a knight\". Mia expressed that Michael is a knight. Alexander commented, \"Mia is a knight\". Liam was heard saying, \"Michael is not a knight\". Michael stated, \"If Avery is a knave then Liam is a knight\". So who is a knight and who is a knave?", "names": ["Avery", "Mia", "Alexander", "Liam", "Michael"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false, true], "solution_text": "Avery is a knight, Mia is a knight, Alexander is a knight, Liam is a knave, and Michael is a knight.", "solution_text_format": "(1) Avery is a knight\n(2) Mia is a knight\n(3) Alexander is a knight\n(4) Liam is a knave\n(5) Michael is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Avery 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 Avery that Liam is not a knight.", "Assume Liam is a knave. No contradiction is found in their false claim that Michael is not a knight.", "Assume Michael is a knight. No contradiction is found in their claim that If Avery is a knave then Liam is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that Michael is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that Mia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 3)), ('telling-truth', 4), ('telling-truth', 1), ('not', ('telling-truth', 4)), ('->', ('lying', 0), ('telling-truth', 3)))", "index": 572}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Elizabeth, Lucas, Emma, James, and Alexander. Elizabeth noted, \"James is a knight\". Lucas was heard saying, \"Elizabeth is a knight\". \"James is a knave or James is a knight\" - Emma. \"Elizabeth is a knight and Alexander is a knave,\" James claimed. Alexander told you that James is a knave or James is a knight. So who is a knight and who is a knave?", "names": ["Elizabeth", "Lucas", "Emma", "James", "Alexander"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false, true], "solution_text": "Elizabeth is a knave, Lucas is a knave, Emma is a knight, James is a knave, and Alexander is a knight.", "solution_text_format": "(1) Elizabeth is a knave\n(2) Lucas is a knave\n(3) Emma is a knight\n(4) James is a knave\n(5) 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 Elizabeth is a knight. No contradiction is found in their claim that James is a knight.", "Assume James is a knight. No contradiction is found in their claim that Elizabeth is a knight and Alexander is a knave.", "Alexander cannot be a knight, because this would contradict the claim of James that Elizabeth is a knight and Alexander is a knave.", "Alexander cannot be a knave, because this would contradict the false claim of their own that James is a knave or James is a knight.", "We have exhausted all possibilities for Alexander, so let us go back and reconsider James.", "James cannot be a knave, because this would contradict the claim of Elizabeth that James is a knight.", "We have exhausted all possibilities for 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 knight.", "James cannot be a knight, because this would contradict the false claim of Elizabeth that James is a knight.", "Assume James is a knave. No contradiction is found in their false claim that Elizabeth is a knight and Alexander is a knave.", "Assume Alexander is a knight. No contradiction is found in their claim that James is a knave or James is a knight.", "Lucas cannot be a knight, because this would contradict the claim of their own that Elizabeth is a knight.", "Assume Lucas is a knave. No contradiction is found in their false claim that Elizabeth is a knight.", "Assume Emma is a knight. No contradiction is found in their claim that James is a knave or James is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 3), ('telling-truth', 0), ('or', ('lying', 3), ('telling-truth', 3)), ('and', ('telling-truth', 0), ('lying', 4)), ('or', ('lying', 3), ('telling-truth', 3)))", "index": 573}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Owen, Chloe, Jacob, Daniel, and James. In Owen's words: \"Chloe is a knave and James is a knight\". Chloe stated, \"If Daniel is a knave then Daniel is a knight\". Jacob expressed that Daniel is a knave. Daniel said, \"James is a knight if and only if Jacob is a knight.\" James noted, \"If Chloe is a knight then James is a knight\". So who is a knight and who is a knave?", "names": ["Owen", "Chloe", "Jacob", "Daniel", "James"], "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": "Owen is a knave, Chloe is a knight, Jacob is a knave, Daniel is a knight, and James is a knave.", "solution_text_format": "(1) Owen is a knave\n(2) Chloe is a knight\n(3) Jacob is a knave\n(4) Daniel 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 Owen is a knight. No contradiction is found in their claim that Chloe is a knave and James is a knight.", "Chloe cannot be a knight, because this would contradict the claim of Owen that Chloe is a knave and James is a knight.", "Assume Chloe is a knave. No contradiction is found in their false claim that If Daniel is a knave then Daniel is a knight.", "Daniel cannot be a knight, because this would contradict the false claim of Chloe that If Daniel is a knave then Daniel is a knight.", "Assume Daniel is a knave. No contradiction is found in their false claim that James is a knight if and only if Jacob is a knight.", "Assume James is a knight. No contradiction is found in their claim that If Chloe is a knight then James is a knight.", "Jacob cannot be a knight, because this would contradict the false claim of Daniel that James is a knight if and only if Jacob is a knight.", "Jacob 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 Jacob, so let us go back and reconsider James.", "James cannot be a knave, because this would contradict the claim of Owen that Chloe is a knave and James is a knight.", "We have exhausted all possibilities for James, Daniel, and Chloe, so let us go back and reconsider Owen.", "Assume Owen is a knave. No contradiction is found in their false claim that Chloe is a knave and James is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that If Daniel is a knave then Daniel is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that James is a knight if and only if Jacob is a knight.", "Assume James is a knight. No contradiction is found in their claim that If Chloe is a knight then James is a knight.", "Jacob cannot be a knight, because this would contradict the claim of their own that Daniel is a knave.", "Jacob cannot be a knave, because this would contradict the claim of Daniel that James is a knight if and only if Jacob is a knight.", "We have exhausted all possibilities for Jacob, so let us go back and reconsider James.", "Assume James is a knave. No contradiction is found in their false claim that If Chloe is a knight then James is a knight.", "Jacob cannot be a knight, because this would contradict the claim of their own that Daniel is a knave.", "Assume Jacob is a knave. No contradiction is found in their false claim that Daniel is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('telling-truth', 4)), ('->', ('lying', 3), ('telling-truth', 3)), ('lying', 3), ('<=>', ('telling-truth', 4), ('telling-truth', 2)), ('->', ('telling-truth', 1), ('telling-truth', 4)))", "index": 574}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Charlotte, Mia, Aurora, Joseph, and Samuel. In Charlotte's words: \"Aurora is not a knight\". Mia said that Joseph is not a knave. Aurora said, \"Joseph is not a knave.\" Joseph asserted: \"Aurora is a knight if and only if Mia is a knight\". According to Samuel, \"If Mia is a knave then Aurora is a knight\". So who is a knight and who is a knave?", "names": ["Charlotte", "Mia", "Aurora", "Joseph", "Samuel"], "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": "Charlotte is a knave, Mia is a knight, Aurora is a knight, Joseph is a knight, and Samuel is a knight.", "solution_text_format": "(1) Charlotte is a knave\n(2) Mia is a knight\n(3) Aurora is a knight\n(4) Joseph is a knight\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 Charlotte is a knight. No contradiction is found in their claim that Aurora is not a knight.", "Aurora cannot be a knight, because this would contradict the claim of Charlotte that Aurora is not a knight.", "Assume Aurora is a knave. No contradiction is found in their false claim that Joseph is not a knave.", "Joseph cannot be a knight, because this would contradict the false claim of Aurora that Joseph is not a knave.", "Assume Joseph is a knave. No contradiction is found in their false claim that Aurora is a knight if and only if Mia is a knight.", "Mia cannot be a knight, because this would contradict the claim of their own that Joseph is not a knave.", "Mia cannot be a knave, because this would contradict the false claim of Joseph that Aurora is a knight if and only if Mia is a knight.", "We have exhausted all possibilities for Mia, Joseph, and Aurora, so let us go back and reconsider Charlotte.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Aurora is not a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that Joseph is not a knave.", "Assume Joseph is a knight. No contradiction is found in their claim that Aurora is a knight if and only if Mia is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that Joseph is not a knave.", "Assume Samuel is a knight. No contradiction is found in their claim that If Mia is a knave then Aurora is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 2)), ('not', ('lying', 3)), ('not', ('lying', 3)), ('<=>', ('telling-truth', 2), ('telling-truth', 1)), ('->', ('lying', 1), ('telling-truth', 2)))", "index": 575}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: David, Emily, Evelyn, Abigail, and Joseph. David expressed that Abigail is a knight. In Emily's words: \"If David is a knave then Abigail is a knave\". Evelyn commented, \"Joseph is not a knave\". Abigail told you that Evelyn is a knave. Joseph commented, \"Evelyn is a knight if and only if Abigail is a knight\". So who is a knight and who is a knave?", "names": ["David", "Emily", "Evelyn", "Abigail", "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": "David is a knight, Emily is a knight, Evelyn is a knave, Abigail is a knight, and Joseph is a knave.", "solution_text_format": "(1) David is a knight\n(2) Emily is a knight\n(3) Evelyn is a knave\n(4) Abigail 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 David is a knight. No contradiction is found in their claim that Abigail is a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that Evelyn is a knave.", "Evelyn cannot be a knight, because this would contradict the claim of Abigail that Evelyn is a knave.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Joseph is not a knave.", "Joseph cannot be a knight, because this would contradict the false claim of Evelyn that Joseph is not a knave.", "Assume Joseph is a knave. No contradiction is found in their false claim that Evelyn is a knight if and only if Abigail is a knight.", "Assume Emily is a knight. No contradiction is found in their claim that If David is a knave then Abigail is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 3), ('->', ('lying', 0), ('lying', 3)), ('not', ('lying', 4)), ('lying', 2), ('<=>', ('telling-truth', 2), ('telling-truth', 3)))", "index": 576}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Matthew, Scarlett, Henry, Amelia, and Joseph. Matthew was heard saying, \"If Amelia is a knave then Henry is a knight\". In a statement by Scarlett: \"Joseph is a knight or Amelia is a knight\". \"If Henry is a knight then Amelia is a knave,\" Henry declared. Amelia commented, \"Henry is a knave\". \"Henry is a knight and Amelia is a knave,\" Joseph declared. So who is a knight and who is a knave?", "names": ["Matthew", "Scarlett", "Henry", "Amelia", "Joseph"], "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": "Matthew is a knight, Scarlett is a knight, Henry is a knight, Amelia is a knave, and Joseph is a knight.", "solution_text_format": "(1) Matthew is a knight\n(2) Scarlett is a knight\n(3) Henry is a knight\n(4) Amelia is a knave\n(5) Joseph is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Matthew is a knight. No contradiction is found in their claim that If Amelia is a knave then Henry is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that Henry is a knave.", "Henry cannot be a knight, because this would contradict the claim of their own that If Henry is a knight then Amelia is a knave.", "Henry cannot be a knave, because this would contradict the false claim of their own that If Henry is a knight then Amelia is a knave.", "We have exhausted all possibilities for Henry, so let us go back and reconsider Amelia.", "Assume Amelia is a knave. No contradiction is found in their false claim that Henry is a knave.", "Assume Henry is a knight. No contradiction is found in their claim that If Henry is a knight then Amelia is a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that Joseph is a knight or Amelia is a knight.", "Assume Joseph is a knight. No contradiction is found in their claim that Henry is a knight and Amelia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 3), ('telling-truth', 2)), ('or', ('telling-truth', 4), ('telling-truth', 3)), ('->', ('telling-truth', 2), ('lying', 3)), ('lying', 2), ('and', ('telling-truth', 2), ('lying', 3)))", "index": 577}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Riley, Logan, Penelope, Henry, and Ella. Riley remarked, \"Henry is a knave\". \"Ella is a knave or Henry is a knight,\" Logan claimed. Penelope asserted: \"Henry is a knave\". As Henry put it, \"Riley is a knight if and only if Penelope is a knight\". In a statement by Ella: \"Logan is not a knight\". So who is a knight and who is a knave?", "names": ["Riley", "Logan", "Penelope", "Henry", "Ella"], "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": "Riley is a knave, Logan is a knight, Penelope is a knave, Henry is a knight, and Ella is a knave.", "solution_text_format": "(1) Riley is a knave\n(2) Logan is a knight\n(3) Penelope is a knave\n(4) Henry is a knight\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 Riley is a knight. No contradiction is found in their claim that Henry is a knave.", "Henry cannot be a knight, because this would contradict the claim of Riley that Henry is a knave.", "Assume Henry is a knave. No contradiction is found in their false claim that Riley is a knight if and only if Penelope is a knight.", "Penelope cannot be a knight, because this would contradict the false claim of Henry that Riley is a knight if and only if Penelope is a knight.", "Penelope cannot be a knave, because this would contradict the false claim of their own that Henry is a knave.", "We have exhausted all possibilities for Penelope and Henry, so let us go back and reconsider Riley.", "Assume Riley is a knave. No contradiction is found in their false claim that Henry is a knave.", "Assume Henry is a knight. No contradiction is found in their claim that Riley is a knight if and only if Penelope is a knight.", "Penelope cannot be a knight, because this would contradict the claim of their own that Henry is a knave.", "Assume Penelope is a knave. No contradiction is found in their false claim that Henry is a knave.", "Assume Logan is a knight. No contradiction is found in their claim that Ella is a knave or Henry is a knight.", "Ella cannot be a knight, because this would contradict the claim of their own that Logan is not a knight.", "Assume Ella is a knave. No contradiction is found in their false claim that Logan is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 3), ('or', ('lying', 4), ('telling-truth', 3)), ('lying', 3), ('<=>', ('telling-truth', 0), ('telling-truth', 2)), ('not', ('telling-truth', 1)))", "index": 578}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Amelia, James, Isabella, Michael, and Henry. Amelia expressed that James is not a knight. James said that Michael is a knave and Isabella is a knave. Isabella expressed that If Henry is a knave then Michael is a knight. \"Isabella is a knight or Isabella is a knave,\" Michael claimed. In a statement by Henry: \"Isabella is a knight and Michael is a knave\". So who is a knight and who is a knave?", "names": ["Amelia", "James", "Isabella", "Michael", "Henry"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, false], "solution_text": "Amelia is a knight, James is a knave, Isabella is a knight, Michael is a knight, and Henry is a knave.", "solution_text_format": "(1) Amelia is a knight\n(2) James is a knave\n(3) Isabella is a knight\n(4) Michael is a knight\n(5) Henry is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Amelia is a knight. No contradiction is found in their claim that James is not a knight.", "James cannot be a knight, because this would contradict the claim of Amelia that James is not a knight.", "Assume James is a knave. No contradiction is found in their false claim that Michael is a knave and Isabella is a knave.", "Assume Michael is a knight. No contradiction is found in their claim that Isabella is a knight or Isabella is a knave.", "Assume Isabella is a knight. No contradiction is found in their claim that If Henry is a knave then Michael is a knight.", "Henry cannot be a knight, because this would contradict the claim of their own that Isabella is a knight and Michael is a knave.", "Assume Henry is a knave. No contradiction is found in their false claim that Isabella is a knight and Michael is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('and', ('lying', 3), ('lying', 2)), ('->', ('lying', 4), ('telling-truth', 3)), ('or', ('telling-truth', 2), ('lying', 2)), ('and', ('telling-truth', 2), ('lying', 3)))", "index": 579}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Owen, Henry, Sofia, Jack, and Harper. Owen noted, \"Sofia is a knave if and only if Owen is a knight\". \"Owen is a knight if and only if Owen is a knave,\" Henry mentioned. As Sofia put it, \"Jack is a knave and Henry is a knave\". Jack said that Owen is not a knave. \"Henry is a knight or Jack is a knight\" - Harper. So who is a knight and who is a knave?", "names": ["Owen", "Henry", "Sofia", "Jack", "Harper"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, true], "solution_text": "Owen is a knight, Henry is a knave, Sofia is a knave, Jack is a knight, and Harper is a knight.", "solution_text_format": "(1) Owen is a knight\n(2) Henry is a knave\n(3) Sofia is a knave\n(4) Jack 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 Owen is a knight. No contradiction is found in their claim that Sofia is a knave if and only if Owen is a knight.", "Sofia cannot be a knight, because this would contradict the claim of Owen that Sofia is a knave if and only if Owen is a knight.", "Assume Sofia is a knave. No contradiction is found in their false claim that Jack is a knave and Henry is a knave.", "Assume Jack is a knight. No contradiction is found in their claim that Owen is not a knave.", "Henry cannot be a knight, because this would contradict the claim of their own that Owen is a knight if and only if Owen is a knave.", "Assume Henry is a knave. No contradiction is found in their false claim that Owen is a knight if and only if Owen is a knave.", "Assume Harper is a knight. No contradiction is found in their claim that Henry is a knight or Jack is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 2), ('telling-truth', 0)), ('<=>', ('telling-truth', 0), ('lying', 0)), ('and', ('lying', 3), ('lying', 1)), ('not', ('lying', 0)), ('or', ('telling-truth', 1), ('telling-truth', 3)))", "index": 580}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Oliver, Noah, Ella, Mason, and James. Oliver said that Noah is a knight or Mason is a knight. \"Ella is a knight and James is a knight\" - Noah. As Ella put it, \"Noah is a knight\". Mason commented, \"Noah is not a knight\". James remarked, \"Mason is not a knave\". So who is a knight and who is a knave?", "names": ["Oliver", "Noah", "Ella", "Mason", "James"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, true], "solution_text": "Oliver is a knight, Noah is a knave, Ella is a knave, Mason is a knight, and James is a knight.", "solution_text_format": "(1) Oliver is a knight\n(2) Noah is a knave\n(3) Ella is a knave\n(4) Mason is a knight\n(5) James is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Oliver is a knight. No contradiction is found in their claim that Noah is a knight or Mason is a knight.", "Assume Noah is a knight. No contradiction is found in their claim that Ella is a knight and James is a knight.", "Assume Ella is a knight. No contradiction is found in their claim that Noah is a knight.", "Assume James is a knight. No contradiction is found in their claim that Mason is not a knave.", "Mason cannot be a knight, because this would contradict the claim of their own that Noah is not a knight.", "Mason cannot be a knave, because this would contradict the claim of James that Mason is not a knave.", "We have exhausted all possibilities for Mason, so let us go back and reconsider James.", "James cannot be a knave, because this would contradict the claim of Noah that Ella is a knight and James is a knight.", "We have exhausted all possibilities for James, so let us go back and reconsider Ella.", "Ella cannot be a knave, because this would contradict the claim of Noah that Ella is a knight and James is a knight.", "We have exhausted all possibilities for Ella, so let us go back and reconsider Noah.", "Assume Noah is a knave. No contradiction is found in their false claim that Ella is a knight and James is a knight.", "Ella cannot be a knight, because this would contradict the claim of their own that Noah is a knight.", "Assume Ella is a knave. No contradiction is found in their false claim that Noah is a knight.", "Assume James is a knight. No contradiction is found in their claim that Mason is not a knave.", "Assume Mason is a knight. No contradiction is found in their claim that Noah is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 1), ('telling-truth', 3)), ('and', ('telling-truth', 2), ('telling-truth', 4)), ('telling-truth', 1), ('not', ('telling-truth', 1)), ('not', ('lying', 3)))", "index": 581}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Emily, Matthew, Luke, Sebastian, and Olivia. As Emily put it, \"Olivia is a knave if and only if Matthew is a knight\". Matthew noted, \"Luke is not a knave\". Luke remarked, \"Matthew is a knave and Luke is a knight\". Sebastian said that Luke is a knave and Emily is a knave. Olivia asserted: \"Matthew is a knave if and only if Luke is a knave\". So who is a knight and who is a knave?", "names": ["Emily", "Matthew", "Luke", "Sebastian", "Olivia"], "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": "Emily is a knight, Matthew is a knave, Luke is a knave, Sebastian is a knave, and Olivia is a knight.", "solution_text_format": "(1) Emily is a knight\n(2) Matthew is a knave\n(3) Luke is a knave\n(4) Sebastian is a knave\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 Emily is a knight. No contradiction is found in their claim that Olivia is a knave if and only if Matthew is a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that Matthew is a knave if and only if Luke is a knave.", "Matthew cannot be a knight, because this would contradict the claim of Emily that Olivia is a knave if and only if Matthew is a knight.", "Assume Matthew is a knave. No contradiction is found in their false claim that Luke is not a knave.", "Luke cannot be a knight, because this would contradict the false claim of Matthew that Luke is not a knave.", "Assume Luke is a knave. No contradiction is found in their false claim that Matthew is a knave and Luke is a knight.", "Sebastian cannot be a knight, because this would contradict the claim of their own that Luke is a knave and Emily is a knave.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Luke is a knave and Emily is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 4), ('telling-truth', 1)), ('not', ('lying', 2)), ('and', ('lying', 1), ('telling-truth', 2)), ('and', ('lying', 2), ('lying', 0)), ('<=>', ('lying', 1), ('lying', 2)))", "index": 582}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Zoey, Sebastian, Owen, Penelope, and Ethan. As Zoey put it, \"Zoey is a knight or Penelope is a knave\". In a statement by Sebastian: \"If Sebastian is a knight then Owen is a knight\". \"If Owen is a knight then Zoey is a knave,\" Owen declared. \"If Owen is a knave then Sebastian is a knave,\" Penelope mentioned. \"Zoey is a knave if and only if Owen is a knight\" - Ethan. So who is a knight and who is a knave?", "names": ["Zoey", "Sebastian", "Owen", "Penelope", "Ethan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, true], "solution_text": "Zoey is a knave, Sebastian is a knight, Owen is a knight, Penelope is a knight, and Ethan is a knight.", "solution_text_format": "(1) Zoey is a knave\n(2) Sebastian is a knight\n(3) Owen is a knight\n(4) Penelope is a knight\n(5) 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 Zoey is a knight. No contradiction is found in their claim that Zoey is a knight or Penelope is a knave.", "Assume Penelope is a knight. No contradiction is found in their claim that If Owen is a knave then Sebastian is a knave.", "Owen cannot be a knight, because this would contradict the claim of their own that If Owen is a knight then Zoey is a knave.", "Owen cannot be a knave, because this would contradict the false claim of their own that If Owen is a knight then Zoey is a knave.", "We have exhausted all possibilities for Owen, so let us go back and reconsider Penelope.", "Assume Penelope is a knave. No contradiction is found in their false claim that If Owen is a knave then Sebastian is a knave.", "Owen cannot be a knight, because this would contradict the claim of their own that If Owen is a knight then Zoey is a knave.", "Owen cannot be a knave, because this would contradict the false claim of their own that If Owen is a knight then Zoey is a knave.", "We have exhausted all possibilities for Owen and Penelope, so let us go back and reconsider Zoey.", "Assume Zoey is a knave. No contradiction is found in their false claim that Zoey is a knight or Penelope is a knave.", "Assume Penelope is a knight. No contradiction is found in their claim that If Owen is a knave then Sebastian is a knave.", "Assume Owen is a knight. No contradiction is found in their claim that If Owen is a knight then Zoey is a knave.", "Assume Sebastian is a knight. No contradiction is found in their claim that If Sebastian is a knight then Owen is a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that Zoey is a knave if and only if Owen is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 0), ('lying', 3)), ('->', ('telling-truth', 1), ('telling-truth', 2)), ('->', ('telling-truth', 2), ('lying', 0)), ('->', ('lying', 2), ('lying', 1)), ('<=>', ('lying', 0), ('telling-truth', 2)))", "index": 583}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Matthew, Jackson, Victoria, William, and Olivia. According to Matthew, \"William is a knave\". Jackson asserted: \"If William is a knave then Victoria is a knight\". Victoria expressed that If Matthew is a knight then William is a knave. \"Matthew is a knave or Jackson is a knight,\" William claimed. \"Victoria is a knight,\" Olivia mentioned. So who is a knight and who is a knave?", "names": ["Matthew", "Jackson", "Victoria", "William", "Olivia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, true], "solution_text": "Matthew is a knave, Jackson is a knight, Victoria is a knight, William is a knight, and Olivia is a knight.", "solution_text_format": "(1) Matthew is a knave\n(2) Jackson is a knight\n(3) Victoria is a knight\n(4) William 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 Matthew is a knight. No contradiction is found in their claim that William is a knave.", "William cannot be a knight, because this would contradict the claim of Matthew that William is a knave.", "Assume William is a knave. No contradiction is found in their false claim that Matthew is a knave or Jackson is a knight.", "Jackson cannot be a knight, because this would contradict the false claim of William that Matthew is a knave or Jackson is a knight.", "Assume Jackson is a knave. No contradiction is found in their false claim that If William is a knave then Victoria is a knight.", "Victoria cannot be a knight, because this would contradict the false claim of Jackson that If William is a knave then Victoria is a knight.", "Victoria cannot be a knave, because this would contradict the false claim of their own that If Matthew is a knight then William is a knave.", "We have exhausted all possibilities for Victoria, Jackson, and William, so let us go back and reconsider Matthew.", "Assume Matthew is a knave. No contradiction is found in their false claim that William is a knave.", "Assume William is a knight. No contradiction is found in their claim that Matthew is a knave or Jackson is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that If William is a knave then Victoria is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that If Matthew is a knight then William is a knave.", "Assume Olivia is a knight. No contradiction is found in their claim that Victoria is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 3), ('->', ('lying', 3), ('telling-truth', 2)), ('->', ('telling-truth', 0), ('lying', 3)), ('or', ('lying', 0), ('telling-truth', 1)), ('telling-truth', 2))", "index": 584}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Zoey, James, Elizabeth, Olivia, and Joseph. Zoey noted, \"Elizabeth is a knave or Joseph is a knight\". \"If Joseph is a knight then Olivia is a knight,\" James mentioned. Elizabeth said that Joseph is a knave. Olivia stated, \"If Zoey is a knave then Joseph is a knight\". Joseph said, \"Zoey is a knave if and only if Elizabeth is a knave.\" So who is a knight and who is a knave?", "names": ["Zoey", "James", "Elizabeth", "Olivia", "Joseph"], "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": "Zoey is a knave, James is a knight, Elizabeth is a knight, Olivia is a knave, and Joseph is a knave.", "solution_text_format": "(1) Zoey is a knave\n(2) James is a knight\n(3) Elizabeth is a knight\n(4) Olivia is a knave\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 Zoey is a knight. No contradiction is found in their claim that Elizabeth is a knave or Joseph is a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Joseph is a knave.", "Joseph cannot be a knight, because this would contradict the claim of Elizabeth that Joseph is a knave.", "Joseph cannot be a knave, because this would contradict the claim of Zoey that Elizabeth is a knave or Joseph is a knight.", "We have exhausted all possibilities for Joseph, so let us go back and reconsider Elizabeth.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Joseph is a knave.", "Joseph cannot be a knight, because this would contradict the claim of their own that Zoey is a knave if and only if Elizabeth is a knave.", "Joseph cannot be a knave, because this would contradict the false claim of Elizabeth that Joseph is a knave.", "We have exhausted all possibilities for Joseph and Elizabeth, so let us go back and reconsider Zoey.", "Assume Zoey is a knave. No contradiction is found in their false claim that Elizabeth is a knave or Joseph is a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Joseph is a knave.", "Joseph cannot be a knight, because this would contradict the false claim of Zoey that Elizabeth is a knave or Joseph is a knight.", "Assume Joseph is a knave. No contradiction is found in their false claim that Zoey is a knave if and only if Elizabeth is a knave.", "Assume James is a knight. No contradiction is found in their claim that If Joseph is a knight then Olivia is a knight.", "Olivia cannot be a knight, because this would contradict the claim of their own that If Zoey is a knave then Joseph is a knight.", "Assume Olivia is a knave. No contradiction is found in their false claim that If Zoey is a knave then Joseph is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 2), ('telling-truth', 4)), ('->', ('telling-truth', 4), ('telling-truth', 3)), ('lying', 4), ('->', ('lying', 0), ('telling-truth', 4)), ('<=>', ('lying', 0), ('lying', 2)))", "index": 585}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Ava, Jackson, Chloe, Emily, and Aria. As Ava put it, \"Aria is a knave if and only if Jackson is a knight\". Jackson commented, \"Aria is a knave\". Chloe said, \"Aria is a knave if and only if Jackson is a knight.\" According to Emily, \"Chloe is not a knave\". \"Emily is not a knight,\" Aria mentioned. So who is a knight and who is a knave?", "names": ["Ava", "Jackson", "Chloe", "Emily", "Aria"], "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": "Ava is a knight, Jackson is a knight, Chloe is a knight, Emily is a knight, and Aria is a knave.", "solution_text_format": "(1) Ava is a knight\n(2) Jackson is a knight\n(3) Chloe is a knight\n(4) Emily is a knight\n(5) Aria is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ava is a knight. No contradiction is found in their claim that Aria is a knave if and only if Jackson is a knight.", "Assume Aria is a knight. No contradiction is found in their claim that Emily is not a knight.", "Emily cannot be a knight, because this would contradict the claim of Aria that Emily is not a knight.", "Assume Emily is a knave. No contradiction is found in their false claim that Chloe is not a knave.", "Chloe cannot be a knight, because this would contradict the false claim of Emily that Chloe is not a knave.", "Assume Chloe is a knave. No contradiction is found in their false claim that Aria is a knave if and only if Jackson is a knight.", "Jackson cannot be a knight, because this would contradict the claim of Ava that Aria is a knave if and only if Jackson is a knight.", "Jackson cannot be a knave, because this would contradict the false claim of Chloe that Aria is a knave if and only if Jackson is a knight.", "We have exhausted all possibilities for Jackson, Chloe, and Emily, so let us go back and reconsider Aria.", "Assume Aria is a knave. No contradiction is found in their false claim that Emily is not a knight.", "Assume Emily is a knight. No contradiction is found in their claim that Chloe is not a knave.", "Assume Chloe is a knight. No contradiction is found in their claim that Aria is a knave if and only if Jackson is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that Aria is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 4), ('telling-truth', 1)), ('lying', 4), ('<=>', ('lying', 4), ('telling-truth', 1)), ('not', ('lying', 2)), ('not', ('telling-truth', 3)))", "index": 586}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Evelyn, Isabella, Amelia, Logan, and Matthew. Evelyn remarked, \"Logan is not a knave\". Isabella told you that If Isabella is a knight then Logan is a knight. According to Amelia, \"Isabella is a knight or Isabella is a knave\". In a statement by Logan: \"Isabella is not a knave\". Matthew was heard saying, \"Isabella is a knight if and only if Isabella is a knave\". So who is a knight and who is a knave?", "names": ["Evelyn", "Isabella", "Amelia", "Logan", "Matthew"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, false], "solution_text": "Evelyn is a knight, Isabella is a knight, Amelia is a knight, Logan is a knight, and Matthew is a knave.", "solution_text_format": "(1) Evelyn is a knight\n(2) Isabella is a knight\n(3) Amelia is a knight\n(4) Logan is a knight\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 Evelyn is a knight. No contradiction is found in their claim that Logan is not a knave.", "Assume Logan is a knight. No contradiction is found in their claim that Isabella is not a knave.", "Assume Isabella is a knight. No contradiction is found in their claim that If Isabella is a knight then Logan is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that Isabella is a knight or Isabella is a knave.", "Matthew cannot be a knight, because this would contradict the claim of their own that Isabella is a knight if and only if Isabella is a knave.", "Assume Matthew is a knave. No contradiction is found in their false claim that Isabella is a knight if and only if Isabella is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 3)), ('->', ('telling-truth', 1), ('telling-truth', 3)), ('or', ('telling-truth', 1), ('lying', 1)), ('not', ('lying', 1)), ('<=>', ('telling-truth', 1), ('lying', 1)))", "index": 587}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Penelope, Benjamin, Sebastian, Amelia, and Grace. Penelope told you that Sebastian is not a knight. Benjamin stated, \"Penelope is a knave and Grace is a knave\". Sebastian commented, \"Penelope is a knave\". \"Grace is not a knave,\" Amelia claimed. Grace said, \"Benjamin is not a knave.\" So who is a knight and who is a knave?", "names": ["Penelope", "Benjamin", "Sebastian", "Amelia", "Grace"], "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": "Penelope is a knight, Benjamin is a knave, Sebastian is a knave, Amelia is a knave, and Grace is a knave.", "solution_text_format": "(1) Penelope is a knight\n(2) Benjamin is a knave\n(3) Sebastian is a knave\n(4) Amelia is a knave\n(5) Grace is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Penelope is a knight. No contradiction is found in their claim that Sebastian is not a knight.", "Sebastian cannot be a knight, because this would contradict the claim of Penelope that Sebastian is not a knight.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Penelope is a knave.", "Benjamin cannot be a knight, because this would contradict the claim of their own that Penelope is a knave and Grace is a knave.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Penelope is a knave and Grace is a knave.", "Grace cannot be a knight, because this would contradict the claim of their own that Benjamin is not a knave.", "Assume Grace is a knave. No contradiction is found in their false claim that Benjamin is not a knave.", "Amelia cannot be a knight, because this would contradict the claim of their own that Grace is not a knave.", "Assume Amelia is a knave. No contradiction is found in their false claim that Grace is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 2)), ('and', ('lying', 0), ('lying', 4)), ('lying', 0), ('not', ('lying', 4)), ('not', ('lying', 1)))", "index": 588}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Michael, Charlotte, James, Ethan, and Evelyn. In Michael's words: \"Charlotte is a knight if and only if James is a knight\". According to Charlotte, \"If Evelyn is a knave then Ethan is a knight\". James expressed that Michael is a knight and Evelyn is a knave. Ethan noted, \"James is a knave\". In a statement by Evelyn: \"Michael is not a knight\". So who is a knight and who is a knave?", "names": ["Michael", "Charlotte", "James", "Ethan", "Evelyn"], "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": "Michael is a knave, Charlotte is a knight, James is a knave, Ethan is a knight, and Evelyn is a knight.", "solution_text_format": "(1) Michael is a knave\n(2) Charlotte is a knight\n(3) James is a knave\n(4) Ethan is a knight\n(5) Evelyn is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Michael is a knight. No contradiction is found in their claim that Charlotte is a knight if and only if James is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that If Evelyn is a knave then Ethan is a knight.", "Evelyn cannot be a knight, because this would contradict the claim of their own that Michael is not a knight.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Michael is not a knight.", "Assume Ethan 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 Ethan that James is a knave.", "James cannot be a knave, because this would contradict the claim of Michael that Charlotte is a knight if and only if James is a knight.", "We have exhausted all possibilities for James, so let us go back and reconsider Ethan.", "Ethan cannot be a knave, because this would contradict the claim of Charlotte that If Evelyn is a knave then Ethan is a knight.", "We have exhausted all possibilities for Ethan and Evelyn, so let us go back and reconsider Charlotte.", "Assume Charlotte is a knave. No contradiction is found in their false claim that If Evelyn is a knave then Ethan is a knight.", "Evelyn cannot be a knight, because this would contradict the false claim of Charlotte that If Evelyn is a knave then Ethan is a knight.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Michael is not a knight.", "Ethan cannot be a knight, because this would contradict the false claim of Charlotte that If Evelyn is a knave then Ethan is a knight.", "Assume Ethan is a knave. No contradiction is found in their false claim that James is a knave.", "James cannot be a knight, because this would contradict the claim of Michael that Charlotte is a knight if and only if James is a knight.", "James cannot be a knave, because this would contradict the false claim of their own that Michael is a knight and Evelyn is a knave.", "We have exhausted all possibilities for James, Ethan, Evelyn, and Charlotte, so let us go back and reconsider Michael.", "Assume Michael is a knave. No contradiction is found in their false claim that Charlotte is a knight if and only if James is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that If Evelyn is a knave then Ethan is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that Michael is not a knight.", "Assume Ethan 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 false claim of Michael that Charlotte is a knight if and only if James is a knight.", "Assume James is a knave. No contradiction is found in their false claim that Michael is a knight and Evelyn is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('telling-truth', 2)), ('->', ('lying', 4), ('telling-truth', 3)), ('and', ('telling-truth', 0), ('lying', 4)), ('lying', 2), ('not', ('telling-truth', 0)))", "index": 589}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Noah, Scarlett, William, Elizabeth, and Victoria. Noah was heard saying, \"William is a knave if and only if Scarlett is a knight\". \"William is a knave and Victoria is a knave,\" Scarlett mentioned. William was heard saying, \"Scarlett is a knight and Elizabeth is a knight\". Elizabeth was heard saying, \"If Noah is a knave then Scarlett is a knight\". Victoria told you that Noah is a knave or William is a knight. So who is a knight and who is a knave?", "names": ["Noah", "Scarlett", "William", "Elizabeth", "Victoria"], "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": "Noah is a knave, Scarlett is a knave, William is a knave, Elizabeth is a knave, and Victoria is a knight.", "solution_text_format": "(1) Noah is a knave\n(2) Scarlett is a knave\n(3) William is a knave\n(4) Elizabeth is a knave\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 Noah is a knight. No contradiction is found in their claim that William is a knave if and only if Scarlett is a knight.", "Assume William is a knight. No contradiction is found in their claim that Scarlett is a knight and Elizabeth is a knight.", "Scarlett cannot be a knight, because this would contradict the claim of Noah that William is a knave if and only if Scarlett is a knight.", "Scarlett cannot be a knave, because this would contradict the claim of William that Scarlett is a knight and Elizabeth is a knight.", "We have exhausted all possibilities for Scarlett, so let us go back and reconsider William.", "Assume William is a knave. No contradiction is found in their false claim that Scarlett is a knight and Elizabeth is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that William is a knave and Victoria is a knave.", "Victoria cannot be a knight, because this would contradict the claim of Scarlett that William is a knave and Victoria is a knave.", "Assume Victoria is a knave. No contradiction is found in their false claim that Noah is a knave or William is a knight.", "Elizabeth cannot be a knight, because this would contradict the false claim of William that Scarlett is a knight and Elizabeth is a knight.", "Elizabeth cannot be a knave, because this would contradict the false claim of their own that If Noah is a knave then Scarlett is a knight.", "We have exhausted all possibilities for Elizabeth and Victoria, so let us go back and reconsider Scarlett.", "Scarlett cannot be a knave, because this would contradict the claim of Noah that William is a knave if and only if Scarlett is a knight.", "We have exhausted all possibilities for Scarlett and William, so let us go back and reconsider Noah.", "Assume Noah is a knave. No contradiction is found in their false claim that William is a knave if and only if Scarlett is a knight.", "Assume William is a knight. No contradiction is found in their claim that Scarlett is a knight and Elizabeth is a knight.", "Scarlett cannot be a knight, because this would contradict the claim of their own that William is a knave and Victoria is a knave.", "Scarlett cannot be a knave, because this would contradict the false claim of Noah that William is a knave if and only if Scarlett is a knight.", "We have exhausted all possibilities for Scarlett, so let us go back and reconsider William.", "Assume William is a knave. No contradiction is found in their false claim that Scarlett is a knight and Elizabeth is a knight.", "Scarlett cannot be a knight, because this would contradict the false claim of Noah that William is a knave if and only if Scarlett is a knight.", "Assume Scarlett is a knave. No contradiction is found in their false claim that William is a knave and Victoria is a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that Noah is a knave or William is a knight.", "Elizabeth cannot be a knight, because this would contradict the claim of their own that If Noah is a knave then Scarlett is a knight.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that If Noah is a knave then Scarlett is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 2), ('telling-truth', 1)), ('and', ('lying', 2), ('lying', 4)), ('and', ('telling-truth', 1), ('telling-truth', 3)), ('->', ('lying', 0), ('telling-truth', 1)), ('or', ('lying', 0), ('telling-truth', 2)))", "index": 590}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Samuel, Elizabeth, Aurora, Lucas, and Jack. In a statement by Samuel: \"Jack is not a knight\". In a statement by Elizabeth: \"Samuel is not a knight\". Aurora was heard saying, \"Lucas is not a knight\". Lucas commented, \"Aurora is a knave if and only if Elizabeth is a knave\". Jack said that Samuel is a knight and Lucas is a knight. So who is a knight and who is a knave?", "names": ["Samuel", "Elizabeth", "Aurora", "Lucas", "Jack"], "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": "Samuel is a knight, Elizabeth is a knave, Aurora is a knight, Lucas is a knave, and Jack is a knave.", "solution_text_format": "(1) Samuel is a knight\n(2) Elizabeth is a knave\n(3) Aurora is a knight\n(4) Lucas 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 Samuel is a knight. No contradiction is found in their claim that Jack is not a knight.", "Jack cannot be a knight, because this would contradict the claim of Samuel that Jack is not a knight.", "Assume Jack is a knave. No contradiction is found in their false claim that Samuel is a knight and Lucas is a knight.", "Lucas cannot be a knight, because this would contradict the false claim of Jack that Samuel is a knight and Lucas is a knight.", "Assume Lucas is a knave. No contradiction is found in their false claim that Aurora is a knave if and only if Elizabeth is a knave.", "Assume Aurora is a knight. No contradiction is found in their claim that Lucas is not a knight.", "Elizabeth cannot be a knight, because this would contradict the claim of their own that Samuel is not a knight.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Samuel is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 4)), ('not', ('telling-truth', 0)), ('not', ('telling-truth', 3)), ('<=>', ('lying', 2), ('lying', 1)), ('and', ('telling-truth', 0), ('telling-truth', 3)))", "index": 591}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Liam, Riley, Lily, Jackson, and Isabella. Liam said, \"Jackson is a knave.\" Riley was heard saying, \"Isabella is a knight and Jackson is a knight\". Lily noted, \"If Lily is a knight then Isabella is a knave\". Jackson commented, \"Lily is a knight and Riley is a knave\". Isabella was heard saying, \"Riley is not a knave\". So who is a knight and who is a knave?", "names": ["Liam", "Riley", "Lily", "Jackson", "Isabella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true, false], "solution_text": "Liam is a knave, Riley is a knave, Lily is a knight, Jackson is a knight, and Isabella is a knave.", "solution_text_format": "(1) Liam is a knave\n(2) Riley is a knave\n(3) Lily is a knight\n(4) Jackson 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 Liam is a knight. No contradiction is found in their claim that Jackson is a knave.", "Jackson cannot be a knight, because this would contradict the claim of Liam that Jackson is a knave.", "Assume Jackson is a knave. No contradiction is found in their false claim that Lily is a knight and Riley is a knave.", "Assume Lily is a knight. No contradiction is found in their claim that If Lily is a knight then Isabella is a knave.", "Isabella cannot be a knight, because this would contradict the claim of Lily that If Lily is a knight then Isabella is a knave.", "Assume Isabella is a knave. No contradiction is found in their false claim that Riley is not a knave.", "Riley cannot be a knight, because this would contradict the claim of their own that Isabella is a knight and Jackson is a knight.", "Riley cannot be a knave, because this would contradict the false claim of Jackson that Lily is a knight and Riley is a knave.", "We have exhausted all possibilities for Riley and Isabella, so let us go back and reconsider Lily.", "Lily cannot be a knave, because this would contradict the false claim of their own that If Lily is a knight then Isabella is a knave.", "We have exhausted all possibilities for Lily and Jackson, so let us go back and reconsider Liam.", "Assume Liam is a knave. No contradiction is found in their false claim that Jackson is a knave.", "Assume Jackson is a knight. No contradiction is found in their claim that Lily is a knight and Riley is a knave.", "Assume Lily is a knight. No contradiction is found in their claim that If Lily is a knight then Isabella is a knave.", "Isabella cannot be a knight, because this would contradict the claim of Lily that If Lily is a knight then Isabella is a knave.", "Assume Isabella is a knave. No contradiction is found in their false claim that Riley is not a knave.", "Riley cannot be a knight, because this would contradict the claim of their own that Isabella is a knight and Jackson is a knight.", "Assume Riley is a knave. No contradiction is found in their false claim that Isabella is a knight and Jackson is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 3), ('and', ('telling-truth', 4), ('telling-truth', 3)), ('->', ('telling-truth', 2), ('lying', 4)), ('and', ('telling-truth', 2), ('lying', 1)), ('not', ('lying', 1)))", "index": 592}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Emma, David, Mason, Liam, and Mia. Emma commented, \"David is a knave\". David stated, \"Liam is a knave if and only if Mia is a knave\". Mason remarked, \"Emma is not a knave\". Liam commented, \"Mia is not a knight\". Mia told you that David is a knight. So who is a knight and who is a knave?", "names": ["Emma", "David", "Mason", "Liam", "Mia"], "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, David is a knave, Mason is a knight, Liam is a knight, and Mia is a knave.", "solution_text_format": "(1) Emma is a knight\n(2) David is a knave\n(3) Mason is a knight\n(4) Liam is a knight\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 Emma 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 Emma that David is a knave.", "Assume David is a knave. No contradiction is found in their false claim that Liam is a knave if and only if Mia is a knave.", "Assume Liam is a knight. No contradiction is found in their claim that Mia is not a knight.", "Mia cannot be a knight, because this would contradict the false claim of David that Liam is a knave if and only if Mia is a knave.", "Assume Mia is a knave. No contradiction is found in their false claim that David is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that Emma is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('<=>', ('lying', 3), ('lying', 4)), ('not', ('lying', 0)), ('not', ('telling-truth', 4)), ('telling-truth', 1))", "index": 593}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Jack, Elizabeth, Penelope, Aiden, and Riley. According to Jack, \"Aiden is a knight or Penelope is a knight\". Elizabeth was heard saying, \"Aiden is a knight or Penelope is a knight\". Penelope remarked, \"Aiden is a knight and Penelope is a knight\". Aiden asserted: \"Jack is a knight and Jack is a knave\". Riley expressed that Penelope is not a knave. So who is a knight and who is a knave?", "names": ["Jack", "Elizabeth", "Penelope", "Aiden", "Riley"], "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": "Jack is a knave, Elizabeth is a knave, Penelope is a knave, Aiden is a knave, and Riley is a knave.", "solution_text_format": "(1) Jack is a knave\n(2) Elizabeth is a knave\n(3) Penelope is a knave\n(4) Aiden 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 Jack is a knight. No contradiction is found in their claim that Aiden is a knight or Penelope is a knight.", "Aiden cannot be a knight, because this would contradict the claim of their own that Jack is a knight and Jack is a knave.", "Assume Aiden is a knave. No contradiction is found in their false claim that Jack is a knight and Jack is a knave.", "Penelope cannot be a knight, because this would contradict the claim of their own that Aiden is a knight and Penelope is a knight.", "Penelope cannot be a knave, because this would contradict the claim of Jack that Aiden is a knight or Penelope is a knight.", "We have exhausted all possibilities for Penelope and Aiden, so let us go back and reconsider Jack.", "Assume Jack is a knave. No contradiction is found in their false claim that Aiden is a knight or Penelope is a knight.", "Aiden cannot be a knight, because this would contradict the false claim of Jack that Aiden is a knight or Penelope is a knight.", "Assume Aiden is a knave. No contradiction is found in their false claim that Jack is a knight and Jack is a knave.", "Penelope cannot be a knight, because this would contradict the false claim of Jack that Aiden is a knight or Penelope is a knight.", "Assume Penelope is a knave. No contradiction is found in their false claim that Aiden is a knight and Penelope is a knight.", "Elizabeth cannot be a knight, because this would contradict the claim of their own that Aiden is a knight or Penelope is a knight.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Aiden is a knight or Penelope is a knight.", "Riley cannot be a knight, because this would contradict the claim of their own that Penelope is not a knave.", "Assume Riley is a knave. No contradiction is found in their false claim that Penelope is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 3), ('telling-truth', 2)), ('or', ('telling-truth', 3), ('telling-truth', 2)), ('and', ('telling-truth', 3), ('telling-truth', 2)), ('and', ('telling-truth', 0), ('lying', 0)), ('not', ('lying', 2)))", "index": 594}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: William, Sofia, Samuel, Matthew, and Henry. William stated, \"If Henry is a knight then Samuel is a knight\". Sofia noted, \"If William is a knight then Matthew is a knight\". In Samuel's words: \"Matthew is a knight and Henry is a knave\". Matthew asserted: \"Samuel is a knave or Sofia is a knight\". \"Samuel is a knight if and only if Samuel is a knave,\" Henry mentioned. So who is a knight and who is a knave?", "names": ["William", "Sofia", "Samuel", "Matthew", "Henry"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, false], "solution_text": "William is a knight, Sofia is a knight, Samuel is a knight, Matthew is a knight, and Henry is a knave.", "solution_text_format": "(1) William is a knight\n(2) Sofia is a knight\n(3) Samuel is a knight\n(4) Matthew is a knight\n(5) Henry is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume William is a knight. No contradiction is found in their claim that If Henry is a knight then Samuel is a knight.", "Henry cannot be a knight, because this would contradict the claim of their own that Samuel is a knight if and only if Samuel is a knave.", "Assume Henry is a knave. No contradiction is found in their false claim that Samuel is a knight if and only if Samuel is a knave.", "Assume Samuel is a knight. No contradiction is found in their claim that Matthew is a knight and Henry is a knave.", "Assume Matthew is a knight. No contradiction is found in their claim that Samuel is a knave or Sofia is a knight.", "Assume Sofia is a knight. No contradiction is found in their claim that If William is a knight then Matthew is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 4), ('telling-truth', 2)), ('->', ('telling-truth', 0), ('telling-truth', 3)), ('and', ('telling-truth', 3), ('lying', 4)), ('or', ('lying', 2), ('telling-truth', 1)), ('<=>', ('telling-truth', 2), ('lying', 2)))", "index": 595}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aria, Noah, Grace, Luke, and Mia. In Aria's words: \"If Grace is a knight then Aria is a knight\". Noah remarked, \"Mia is a knight\". \"If Noah is a knight then Mia is a knave\" - Grace. Luke asserted: \"Mia is not a knight\". In a statement by Mia: \"If Noah is a knave then Luke is a knight\". So who is a knight and who is a knave?", "names": ["Aria", "Noah", "Grace", "Luke", "Mia"], "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": "Aria is a knight, Noah is a knight, Grace is a knave, Luke is a knave, and Mia is a knight.", "solution_text_format": "(1) Aria is a knight\n(2) Noah is a knight\n(3) Grace is a knave\n(4) Luke 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 Aria is a knight. No contradiction is found in their claim that If Grace is a knight then Aria is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that If Noah is a knight then Mia is a knave.", "Assume Noah is a knight. No contradiction is found in their claim that Mia is a knight.", "Mia cannot be a knight, because this would contradict the claim of Grace that If Noah is a knight then Mia is a knave.", "Mia cannot be a knave, because this would contradict the claim of Noah that Mia is a knight.", "We have exhausted all possibilities for Mia, so let us go back and reconsider Noah.", "Assume Noah is a knave. No contradiction is found in their false claim that Mia is a knight.", "Mia cannot be a knight, because this would contradict the false claim of Noah that Mia is a knight.", "Assume Mia is a knave. No contradiction is found in their false claim that If Noah is a knave then Luke is a knight.", "Luke cannot be a knight, because this would contradict the false claim of Mia that If Noah is a knave then Luke is a knight.", "Luke cannot be a knave, because this would contradict the false claim of their own that Mia is not a knight.", "We have exhausted all possibilities for Luke, Mia, and Noah, so let us go back and reconsider Grace.", "Assume Grace is a knave. No contradiction is found in their false claim that If Noah is a knight then Mia is a knave.", "Assume Noah is a knight. No contradiction is found in their claim that Mia is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that If Noah is a knave then Luke is a knight.", "Luke cannot be a knight, because this would contradict the claim of their own that Mia is not a knight.", "Assume Luke is a knave. No contradiction is found in their false claim that Mia is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 2), ('telling-truth', 0)), ('telling-truth', 4), ('->', ('telling-truth', 1), ('lying', 4)), ('not', ('telling-truth', 4)), ('->', ('lying', 1), ('telling-truth', 3)))", "index": 596}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Lily, Chloe, Logan, Jack, and William. Lily asserted: \"William is a knave and Jack is a knight\". Chloe was heard saying, \"Lily is a knight\". Logan told you that Lily is a knave if and only if William is a knave. Jack noted, \"William is a knave\". William told you that William is a knight and Chloe is a knight. So who is a knight and who is a knave?", "names": ["Lily", "Chloe", "Logan", "Jack", "William"], "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, Chloe is a knight, Logan is a knave, Jack is a knight, and William is a knave.", "solution_text_format": "(1) Lily is a knight\n(2) Chloe is a knight\n(3) Logan is a knave\n(4) Jack is a knight\n(5) 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 knave and Jack is a knight.", "William cannot be a knight, because this would contradict the claim of Lily that William is a knave and Jack is a knight.", "Assume William is a knave. No contradiction is found in their false claim that William is a knight and Chloe is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that Lily is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that William is a knave.", "Logan cannot be a knight, because this would contradict the claim of their own that Lily is a knave if and only if William is a knave.", "Assume Logan is a knave. No contradiction is found in their false claim that Lily is a knave if and only if William is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 4), ('telling-truth', 3)), ('telling-truth', 0), ('<=>', ('lying', 0), ('lying', 4)), ('lying', 4), ('and', ('telling-truth', 4), ('telling-truth', 1)))", "index": 597}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Emily, Riley, Jackson, Jacob, and William. Emily noted, \"Jacob is a knave\". \"Jacob is a knight,\" Riley declared. Jackson remarked, \"If Riley is a knave then Jacob is a knave\". Jacob told you that If William is a knave then Emily is a knight. \"Jacob is a knave or Emily is a knave,\" William mentioned. So who is a knight and who is a knave?", "names": ["Emily", "Riley", "Jackson", "Jacob", "William"], "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": "Emily is a knave, Riley is a knight, Jackson is a knight, Jacob is a knight, and William is a knight.", "solution_text_format": "(1) Emily is a knave\n(2) Riley is a knight\n(3) Jackson is a knight\n(4) Jacob is a knight\n(5) William is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Emily is a knight. No contradiction is found in their claim that Jacob is a knave.", "Jacob cannot be a knight, because this would contradict the claim of Emily that Jacob is a knave.", "Jacob cannot be a knave, because this would contradict the false claim of their own that If William is a knave then Emily is a knight.", "We have exhausted all possibilities for Jacob, so let us go back and reconsider Emily.", "Assume Emily is a knave. No contradiction is found in their false claim that Jacob is a knave.", "Assume Jacob is a knight. No contradiction is found in their claim that If William is a knave then Emily is a knight.", "Assume William is a knight. No contradiction is found in their claim that Jacob is a knave or Emily is a knave.", "Assume Riley is a knight. No contradiction is found in their claim that Jacob is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that If Riley is a knave then Jacob is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 3), ('telling-truth', 3), ('->', ('lying', 1), ('lying', 3)), ('->', ('lying', 4), ('telling-truth', 0)), ('or', ('lying', 3), ('lying', 0)))", "index": 598}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Charlotte, Penelope, Ella, Sophia, and Evelyn. According to Charlotte, \"Ella is a knave and Sophia is a knight\". Penelope was heard saying, \"If Sophia is a knight then Evelyn is a knave\". Ella was heard saying, \"Charlotte is not a knight\". According to Sophia, \"Evelyn is a knave if and only if Charlotte is a knight\". According to Evelyn, \"Penelope is a knight and Sophia is a knave\". So who is a knight and who is a knave?", "names": ["Charlotte", "Penelope", "Ella", "Sophia", "Evelyn"], "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": "Charlotte is a knight, Penelope is a knight, Ella is a knave, Sophia is a knight, and Evelyn is a knave.", "solution_text_format": "(1) Charlotte is a knight\n(2) Penelope is a knight\n(3) Ella is a knave\n(4) Sophia is a knight\n(5) 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 Charlotte is a knight. No contradiction is found in their claim that Ella is a knave and Sophia is a knight.", "Ella cannot be a knight, because this would contradict the claim of Charlotte that Ella is a knave and Sophia is a knight.", "Assume Ella is a knave. No contradiction is found in their false claim that Charlotte is not a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that Evelyn is a knave if and only if Charlotte is a knight.", "Evelyn cannot be a knight, because this would contradict the claim of Sophia that Evelyn is a knave if and only if Charlotte is a knight.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Penelope is a knight and Sophia is a knave.", "Assume Penelope is a knight. No contradiction is found in their claim that If Sophia is a knight then Evelyn is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('telling-truth', 3)), ('->', ('telling-truth', 3), ('lying', 4)), ('not', ('telling-truth', 0)), ('<=>', ('lying', 4), ('telling-truth', 0)), ('and', ('telling-truth', 1), ('lying', 3)))", "index": 599}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aiden, Amelia, Henry, Michael, and Lily. \"If Michael is a knight then Lily is a knave\" - Aiden. \"Lily is a knight or Michael is a knave\" - Amelia. Henry remarked, \"Aiden is not a knight\". \"Aiden is a knight or Henry is a knight,\" Michael mentioned. \"Michael is a knave and Amelia is a knave,\" Lily claimed. So who is a knight and who is a knave?", "names": ["Aiden", "Amelia", "Henry", "Michael", "Lily"], "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": "Aiden is a knight, Amelia is a knave, Henry is a knave, Michael is a knight, and Lily is a knave.", "solution_text_format": "(1) Aiden is a knight\n(2) Amelia is a knave\n(3) Henry is a knave\n(4) Michael 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 Aiden is a knight. No contradiction is found in their claim that If Michael is a knight then Lily is a knave.", "Assume Michael is a knight. No contradiction is found in their claim that Aiden is a knight or Henry is a knight.", "Henry cannot be a knight, because this would contradict the claim of their own that Aiden is not a knight.", "Assume Henry is a knave. No contradiction is found in their false claim that Aiden is not a knight.", "Lily cannot be a knight, because this would contradict the claim of Aiden that If Michael is a knight then Lily is a knave.", "Assume Lily is a knave. No contradiction is found in their false claim that Michael is a knave and Amelia is a knave.", "Amelia cannot be a knight, because this would contradict the claim of their own that Lily is a knight or Michael is a knave.", "Assume Amelia is a knave. No contradiction is found in their false claim that Lily is a knight or Michael is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 3), ('lying', 4)), ('or', ('telling-truth', 4), ('lying', 3)), ('not', ('telling-truth', 0)), ('or', ('telling-truth', 0), ('telling-truth', 2)), ('and', ('lying', 3), ('lying', 1)))", "index": 600}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Daniel, Emma, Michael, Evelyn, and Mia. Daniel expressed that If Evelyn is a knight then Daniel is a knight. Emma commented, \"If Emma is a knight then Evelyn is a knave\". \"Mia is a knave,\" Michael mentioned. In Evelyn's words: \"Emma is a knave if and only if Mia is a knight\". Mia remarked, \"Emma is a knight\". So who is a knight and who is a knave?", "names": ["Daniel", "Emma", "Michael", "Evelyn", "Mia"], "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, Emma is a knight, Michael is a knave, Evelyn is a knave, and Mia is a knight.", "solution_text_format": "(1) Daniel is a knight\n(2) Emma is a knight\n(3) Michael is a knave\n(4) Evelyn 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 Daniel is a knight. No contradiction is found in their claim that If Evelyn is a knight then Daniel is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that Emma is a knave if and only if Mia is a knight.", "Emma cannot be a knight, because this would contradict the claim of their own that If Emma is a knight then Evelyn is a knave.", "Emma cannot be a knave, because this would contradict the false claim of their own that If Emma is a knight then Evelyn is a knave.", "We have exhausted all possibilities for Emma, so let us go back and reconsider Evelyn.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Emma is a knave if and only if Mia is a knight.", "Assume Emma is a knight. No contradiction is found in their claim that If Emma is a knight then Evelyn is a knave.", "Assume Mia is a knight. No contradiction is found in their claim that Emma is a knight.", "Michael cannot be a knight, because this would contradict the claim of their own that Mia is a knave.", "Assume Michael is a knave. No contradiction is found in their false claim that Mia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 3), ('telling-truth', 0)), ('->', ('telling-truth', 1), ('lying', 3)), ('lying', 4), ('<=>', ('lying', 1), ('telling-truth', 4)), ('telling-truth', 1))", "index": 601}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Daniel, Aria, Sebastian, Victoria, and Charlotte. Daniel commented, \"Aria is a knave\". According to Aria, \"If Aria is a knight then Sebastian is a knave\". Sebastian remarked, \"Aria is a knave and Daniel is a knave\". Victoria told you that Daniel is a knight or Charlotte is a knight. Charlotte asserted: \"Daniel is a knight\". So who is a knight and who is a knave?", "names": ["Daniel", "Aria", "Sebastian", "Victoria", "Charlotte"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false, false], "solution_text": "Daniel is a knave, Aria is a knight, Sebastian is a knave, Victoria is a knave, and Charlotte is a knave.", "solution_text_format": "(1) Daniel is a knave\n(2) Aria is a knight\n(3) Sebastian is a knave\n(4) Victoria is a knave\n(5) Charlotte is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Daniel is a knight. No contradiction is found in their claim that Aria is a knave.", "Aria cannot be a knight, because this would contradict the claim of Daniel that Aria is a knave.", "Aria cannot be a knave, because this would contradict the false claim of their own that If Aria is a knight then Sebastian is a knave.", "We have exhausted all possibilities for Aria, so let us go back and reconsider Daniel.", "Assume Daniel is a knave. No contradiction is found in their false claim that Aria is a knave.", "Assume Aria is a knight. No contradiction is found in their claim that If Aria is a knight then Sebastian is a knave.", "Sebastian cannot be a knight, because this would contradict the claim of Aria that If Aria is a knight then Sebastian is a knave.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Aria is a knave and Daniel is a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that Daniel is a knight or Charlotte is a knight.", "Charlotte cannot be a knight, because this would contradict the claim of their own that Daniel is a knight.", "Charlotte cannot be a knave, because this would contradict the claim of Victoria that Daniel is a knight or Charlotte is a knight.", "We have exhausted all possibilities for Charlotte, so let us go back and reconsider Victoria.", "Assume Victoria is a knave. No contradiction is found in their false claim that Daniel is a knight or Charlotte is a knight.", "Charlotte cannot be a knight, because this would contradict the false claim of Victoria that Daniel is a knight or Charlotte is a knight.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Daniel is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('->', ('telling-truth', 1), ('lying', 2)), ('and', ('lying', 1), ('lying', 0)), ('or', ('telling-truth', 0), ('telling-truth', 4)), ('telling-truth', 0))", "index": 602}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Luke, Lily, David, Mia, and Charlotte. Luke remarked, \"Charlotte is not a knave\". \"Mia is a knave and Charlotte is a knave,\" Lily mentioned. David remarked, \"Luke is a knight\". Mia told you that If Luke is a knight then Charlotte is a knight. Charlotte was heard saying, \"David is a knave or David is a knight\". So who is a knight and who is a knave?", "names": ["Luke", "Lily", "David", "Mia", "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": "Luke is a knight, Lily is a knave, David is a knight, Mia is a knight, and Charlotte is a knight.", "solution_text_format": "(1) Luke is a knight\n(2) Lily is a knave\n(3) David is a knight\n(4) Mia 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 Luke is a knight. No contradiction is found in their claim that Charlotte is not a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that David is a knave or David is a knight.", "Assume David is a knight. No contradiction is found in their claim that Luke is a knight.", "Lily cannot be a knight, because this would contradict the claim of their own that Mia is a knave and Charlotte is a knave.", "Assume Lily is a knave. No contradiction is found in their false claim that Mia is a knave and Charlotte is a knave.", "Assume Mia is a knight. No contradiction is found in their claim that If Luke is a knight then Charlotte is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 4)), ('and', ('lying', 3), ('lying', 4)), ('telling-truth', 0), ('->', ('telling-truth', 0), ('telling-truth', 4)), ('or', ('lying', 2), ('telling-truth', 2)))", "index": 603}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Lucas, Luke, Aria, Mason, and Ava. Lucas noted, \"If Luke is a knight then Lucas is a knight\". \"Mason is a knave\" - Luke. Aria asserted: \"Lucas is a knight and Ava is a knave\". Mason noted, \"If Lucas is a knight then Lucas is a knave\". \"If Lucas is a knight then Luke is a knight,\" Ava declared. So who is a knight and who is a knave?", "names": ["Lucas", "Luke", "Aria", "Mason", "Ava"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false, true], "solution_text": "Lucas is a knight, Luke is a knight, Aria is a knave, Mason is a knave, and Ava is a knight.", "solution_text_format": "(1) Lucas is a knight\n(2) Luke is a knight\n(3) Aria is a knave\n(4) Mason is a knave\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 Lucas is a knight. No contradiction is found in their claim that If Luke is a knight then Lucas is a knight.", "Assume Luke is a knight. No contradiction is found in their claim that Mason is a knave.", "Mason cannot be a knight, because this would contradict the claim of Luke that Mason is a knave.", "Assume Mason is a knave. No contradiction is found in their false claim that If Lucas is a knight then Lucas is a knave.", "Assume Aria is a knight. No contradiction is found in their claim that Lucas is a knight and Ava is a knave.", "Ava cannot be a knight, because this would contradict the claim of Aria that Lucas is a knight and Ava is a knave.", "Ava cannot be a knave, because this would contradict the false claim of their own that If Lucas is a knight then Luke is a knight.", "We have exhausted all possibilities for Ava, so let us go back and reconsider Aria.", "Assume Aria is a knave. No contradiction is found in their false claim that Lucas is a knight and Ava is a knave.", "Assume Ava is a knight. No contradiction is found in their claim that If Lucas is a knight then Luke is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 1), ('telling-truth', 0)), ('lying', 3), ('and', ('telling-truth', 0), ('lying', 4)), ('->', ('telling-truth', 0), ('lying', 0)), ('->', ('telling-truth', 0), ('telling-truth', 1)))", "index": 604}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Evelyn, Michael, Zoey, Ella, and Aurora. Evelyn said that Zoey is a knave. Michael was heard saying, \"Ella is a knave or Zoey is a knight\". \"Michael is a knave if and only if Ella is a knave\" - Zoey. \"Aurora is a knight,\" Ella declared. Aurora expressed that Evelyn is a knight and Zoey is a knave. So who is a knight and who is a knave?", "names": ["Evelyn", "Michael", "Zoey", "Ella", "Aurora"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, true], "solution_text": "Evelyn is a knight, Michael is a knave, Zoey is a knave, Ella is a knight, and Aurora is a knight.", "solution_text_format": "(1) Evelyn is a knight\n(2) Michael is a knave\n(3) Zoey is a knave\n(4) Ella 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 Evelyn is a knight. No contradiction is found in their claim that Zoey is a knave.", "Zoey cannot be a knight, because this would contradict the claim of Evelyn that Zoey is a knave.", "Assume Zoey is a knave. No contradiction is found in their false claim that Michael is a knave if and only if Ella is a knave.", "Assume Michael is a knight. No contradiction is found in their claim that Ella is a knave or Zoey is a knight.", "Ella cannot be a knight, because this would contradict the claim of Michael that Ella is a knave or Zoey is a knight.", "Assume Ella is a knave. No contradiction is found in their false claim that Aurora is a knight.", "Aurora cannot be a knight, because this would contradict the false claim of Ella that Aurora is a knight.", "Aurora cannot be a knave, because this would contradict the false claim of their own that Evelyn is a knight and Zoey is a knave.", "We have exhausted all possibilities for Aurora and Ella, so let us go back and reconsider Michael.", "Assume Michael is a knave. No contradiction is found in their false claim that Ella is a knave or Zoey is a knight.", "Assume Ella is a knight. No contradiction is found in their claim that Aurora is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that Evelyn is a knight and Zoey is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 2), ('or', ('lying', 3), ('telling-truth', 2)), ('<=>', ('lying', 1), ('lying', 3)), ('telling-truth', 4), ('and', ('telling-truth', 0), ('lying', 2)))", "index": 605}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Harper, Daniel, Abigail, Emily, and Aria. Harper stated, \"Emily is a knave or Aria is a knave\". Daniel was heard saying, \"If Harper is a knave then Daniel is a knight\". \"If Emily is a knave then Emily is a knight,\" Abigail declared. Emily commented, \"If Harper is a knight then Aria is a knave\". In a statement by Aria: \"Abigail is a knave or Harper is a knight\". So who is a knight and who is a knave?", "names": ["Harper", "Daniel", "Abigail", "Emily", "Aria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false, true], "solution_text": "Harper is a knight, Daniel is a knight, Abigail is a knave, Emily is a knave, and Aria is a knight.", "solution_text_format": "(1) Harper is a knight\n(2) Daniel is a knight\n(3) Abigail is a knave\n(4) Emily is a knave\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 Harper is a knight. No contradiction is found in their claim that Emily is a knave or Aria is a knave.", "Assume Emily is a knight. No contradiction is found in their claim that If Harper is a knight then Aria is a knave.", "Aria cannot be a knight, because this would contradict the claim of Harper that Emily is a knave or Aria is a knave.", "Aria cannot be a knave, because this would contradict the false claim of their own that Abigail is a knave or Harper is a knight.", "We have exhausted all possibilities for Aria, so let us go back and reconsider Emily.", "Assume Emily is a knave. No contradiction is found in their false claim that If Harper is a knight then Aria is a knave.", "Assume Aria is a knight. No contradiction is found in their claim that Abigail is a knave or Harper is a knight.", "Abigail cannot be a knight, because this would contradict the claim of their own that If Emily is a knave then Emily is a knight.", "Assume Abigail is a knave. No contradiction is found in their false claim that If Emily is a knave then Emily is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that If Harper is a knave then Daniel is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 3), ('lying', 4)), ('->', ('lying', 0), ('telling-truth', 1)), ('->', ('lying', 3), ('telling-truth', 3)), ('->', ('telling-truth', 0), ('lying', 4)), ('or', ('lying', 2), ('telling-truth', 0)))", "index": 606}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Emma, Noah, Victoria, Jacob, and Abigail. Emma asserted: \"Abigail is a knight and Victoria is a knave\". As Noah put it, \"Victoria is a knight\". Victoria noted, \"If Victoria is a knight then Noah is a knight\". Jacob noted, \"Noah is a knave and Victoria is a knave\". According to Abigail, \"Noah is not a knight\". So who is a knight and who is a knave?", "names": ["Emma", "Noah", "Victoria", "Jacob", "Abigail"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false, false], "solution_text": "Emma is a knave, Noah is a knight, Victoria is a knight, Jacob is a knave, and Abigail is a knave.", "solution_text_format": "(1) Emma is a knave\n(2) Noah is a knight\n(3) Victoria is a knight\n(4) Jacob is a knave\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 Emma is a knight. No contradiction is found in their claim that Abigail is a knight and Victoria is a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that Noah is not a knight.", "Noah cannot be a knight, because this would contradict the claim of Abigail that Noah is not a knight.", "Assume Noah is a knave. No contradiction is found in their false claim that Victoria is a knight.", "Victoria cannot be a knight, because this would contradict the claim of Emma that Abigail is a knight and Victoria is a knave.", "Victoria cannot be a knave, because this would contradict the false claim of their own that If Victoria is a knight then Noah is a knight.", "We have exhausted all possibilities for Victoria and Noah, so let us go back and reconsider Abigail.", "Abigail cannot be a knave, because this would contradict the claim of Emma that Abigail is a knight and Victoria is a knave.", "We have exhausted all possibilities for Abigail, so let us go back and reconsider Emma.", "Assume Emma is a knave. No contradiction is found in their false claim that Abigail is a knight and Victoria is a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that Noah is not a knight.", "Noah cannot be a knight, because this would contradict the claim of Abigail that Noah is not a knight.", "Assume Noah 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 Noah that Victoria is a knight.", "Victoria cannot be a knave, because this would contradict the false claim of Emma that Abigail is a knight and Victoria is a knave.", "We have exhausted all possibilities for Victoria and Noah, so let us go back and reconsider Abigail.", "Assume Abigail is a knave. No contradiction is found in their false claim that Noah is not a knight.", "Assume Noah is a knight. No contradiction is found in their claim that Victoria is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that If Victoria is a knight then Noah is a knight.", "Jacob cannot be a knight, because this would contradict the claim of their own that Noah is a knave and Victoria is a knave.", "Assume Jacob is a knave. No contradiction is found in their false claim that Noah is a knave and Victoria is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 4), ('lying', 2)), ('telling-truth', 2), ('->', ('telling-truth', 2), ('telling-truth', 1)), ('and', ('lying', 1), ('lying', 2)), ('not', ('telling-truth', 1)))", "index": 607}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Daniel, Lily, Liam, Ella, and Owen. \"Ella is a knave if and only if Liam is a knave,\" Daniel claimed. Lily asserted: \"Ella is a knave or Owen is a knight\". Liam expressed that Ella is a knave and Owen is a knight. Ella told you that Daniel is a knave if and only if Owen is a knave. Owen said, \"If Daniel is a knight then Liam is a knave.\" So who is a knight and who is a knave?", "names": ["Daniel", "Lily", "Liam", "Ella", "Owen"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false, true], "solution_text": "Daniel is a knave, Lily is a knight, Liam is a knight, Ella is a knave, and Owen is a knight.", "solution_text_format": "(1) Daniel is a knave\n(2) Lily is a knight\n(3) Liam is a knight\n(4) Ella 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 Daniel is a knight. No contradiction is found in their claim that Ella is a knave if and only if Liam is a knave.", "Assume Ella is a knight. No contradiction is found in their claim that Daniel is a knave if and only if Owen is a knave.", "Assume Owen is a knight. No contradiction is found in their claim that If Daniel is a knight then Liam is a knave.", "Liam cannot be a knight, because this would contradict the claim of their own that Ella is a knave and Owen is a knight.", "Liam cannot be a knave, because this would contradict the claim of Daniel that Ella 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 Owen.", "Owen cannot be a knave, because this would contradict the claim of Ella that Daniel is a knave if and only if Owen is a knave.", "We have exhausted all possibilities for Owen, so let us go back and reconsider Ella.", "Assume Ella is a knave. No contradiction is found in their false claim that Daniel is a knave if and only if Owen is a knave.", "Owen cannot be a knight, because this would contradict the false claim of Ella that Daniel is a knave if and only if Owen is a knave.", "Assume Owen is a knave. No contradiction is found in their false claim that If Daniel is a knight then Liam is a knave.", "Liam cannot be a knight, because this would contradict the claim of Daniel that Ella is a knave if and only if Liam is a knave.", "Liam cannot be a knave, because this would contradict the false claim of Owen that If Daniel is a knight then Liam is a knave.", "We have exhausted all possibilities for Liam, Owen, and Ella, so let us go back and reconsider Daniel.", "Assume Daniel is a knave. No contradiction is found in their false claim that Ella is a knave if and only if Liam is a knave.", "Assume Ella is a knight. No contradiction is found in their claim that Daniel is a knave if and only if Owen is a knave.", "Owen cannot be a knight, because this would contradict the claim of Ella that Daniel is a knave if and only if Owen is a knave.", "Owen cannot be a knave, because this would contradict the false claim of their own that If Daniel is a knight then Liam is a knave.", "We have exhausted all possibilities for Owen, so let us go back and reconsider Ella.", "Assume Ella is a knave. No contradiction is found in their false claim that Daniel is a knave if and only if Owen is a knave.", "Assume Owen is a knight. No contradiction is found in their claim that If Daniel is a knight then Liam is a knave.", "Assume Liam is a knight. No contradiction is found in their claim that Ella is a knave and Owen is a knight.", "Assume Lily is a knight. No contradiction is found in their claim that Ella is a knave or Owen is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 3), ('lying', 2)), ('or', ('lying', 3), ('telling-truth', 4)), ('and', ('lying', 3), ('telling-truth', 4)), ('<=>', ('lying', 0), ('lying', 4)), ('->', ('telling-truth', 0), ('lying', 2)))", "index": 608}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Chloe, Aiden, Sebastian, Abigail, and Jacob. \"Sebastian is a knight if and only if Abigail is a knave,\" Chloe mentioned. \"Abigail is a knave and Jacob is a knave,\" Aiden declared. In Sebastian's words: \"Jacob is a knave\". Abigail told you that If Jacob is a knight then Sebastian is a knight. Jacob remarked, \"If Aiden is a knight then Abigail is a knight\". So who is a knight and who is a knave?", "names": ["Chloe", "Aiden", "Sebastian", "Abigail", "Jacob"], "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": "Chloe is a knave, Aiden is a knave, Sebastian is a knave, Abigail is a knave, and Jacob is a knight.", "solution_text_format": "(1) Chloe is a knave\n(2) Aiden is a knave\n(3) Sebastian is a knave\n(4) Abigail is a knave\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 Chloe is a knight. No contradiction is found in their claim that Sebastian is a knight if and only if Abigail is a knave.", "Assume Sebastian is a knight. No contradiction is found in their claim that Jacob is a knave.", "Jacob cannot be a knight, because this would contradict the claim of Sebastian that Jacob is a knave.", "Assume Jacob is a knave. No contradiction is found in their false claim that If Aiden is a knight then Abigail is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that Abigail is a knave and Jacob is a knave.", "Abigail cannot be a knight, because this would contradict the claim of Chloe that Sebastian is a knight if and only if Abigail is a knave.", "Abigail cannot be a knave, because this would contradict the false claim of their own that If Jacob is a knight then Sebastian is a knight.", "We have exhausted all possibilities for Abigail, so let us go back and reconsider Aiden.", "Aiden cannot be a knave, because this would contradict the false claim of Jacob that If Aiden is a knight then Abigail is a knight.", "We have exhausted all possibilities for Aiden and Jacob, so let us go back and reconsider Sebastian.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Jacob is a knave.", "Assume Jacob is a knight. No contradiction is found in their claim that If Aiden is a knight then Abigail is a knight.", "Aiden cannot be a knight, because this would contradict the claim of their own that Abigail is a knave and Jacob is a knave.", "Assume Aiden is a knave. No contradiction is found in their false claim that Abigail is a knave and Jacob is a knave.", "Abigail cannot be a knight, because this would contradict the claim of their own that If Jacob is a knight then Sebastian is a knight.", "Abigail cannot be a knave, because this would contradict the claim of Chloe that Sebastian is a knight if and only if Abigail is a knave.", "We have exhausted all possibilities for Abigail and Aiden, so let us go back and reconsider Jacob.", "Jacob cannot be a knave, because this would contradict the false claim of Sebastian that Jacob is a knave.", "We have exhausted all possibilities for Jacob and Sebastian, so let us go back and reconsider Chloe.", "Assume Chloe is a knave. No contradiction is found in their false claim that Sebastian is a knight if and only if Abigail is a knave.", "Assume Sebastian is a knight. No contradiction is found in their claim that Jacob is a knave.", "Jacob cannot be a knight, because this would contradict the claim of Sebastian that Jacob is a knave.", "Assume Jacob is a knave. No contradiction is found in their false claim that If Aiden is a knight then Abigail is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that Abigail is a knave and Jacob is a knave.", "Abigail cannot be a knight, because this would contradict the claim of Aiden that Abigail is a knave and Jacob is a knave.", "Abigail cannot be a knave, because this would contradict the false claim of Chloe that Sebastian is a knight if and only if Abigail is a knave.", "We have exhausted all possibilities for Abigail, so let us go back and reconsider Aiden.", "Aiden cannot be a knave, because this would contradict the false claim of Jacob that If Aiden is a knight then Abigail is a knight.", "We have exhausted all possibilities for Aiden and Jacob, so let us go back and reconsider Sebastian.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Jacob is a knave.", "Assume Jacob is a knight. No contradiction is found in their claim that If Aiden is a knight then Abigail is a knight.", "Aiden cannot be a knight, because this would contradict the claim of their own that Abigail is a knave and Jacob is a knave.", "Assume Aiden is a knave. No contradiction is found in their false claim that Abigail is a knave and Jacob is a knave.", "Abigail cannot be a knight, because this would contradict the false claim of Chloe that Sebastian is a knight if and only if Abigail is a knave.", "Assume Abigail is a knave. No contradiction is found in their false claim that If Jacob is a knight then Sebastian is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 2), ('lying', 3)), ('and', ('lying', 3), ('lying', 4)), ('lying', 4), ('->', ('telling-truth', 4), ('telling-truth', 2)), ('->', ('telling-truth', 1), ('telling-truth', 3)))", "index": 609}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aurora, Daniel, Luke, Oliver, and Lily. As Aurora put it, \"Daniel is not a knave\". \"Daniel is a knight or Aurora is a knave,\" Daniel claimed. According to Luke, \"Lily is a knave if and only if Daniel is a knight\". Oliver noted, \"Luke is not a knave\". \"Daniel is not a knave\" - Lily. So who is a knight and who is a knave?", "names": ["Aurora", "Daniel", "Luke", "Oliver", "Lily"], "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": "Aurora is a knight, Daniel is a knight, Luke is a knave, Oliver is a knave, and Lily is a knight.", "solution_text_format": "(1) Aurora is a knight\n(2) Daniel is a knight\n(3) Luke is a knave\n(4) Oliver is a knave\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": ["Assume Aurora 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 Daniel is a knight or Aurora is a knave.", "Assume Luke is a knight. No contradiction is found in their claim that Lily is a knave if and only if Daniel is a knight.", "Lily cannot be a knight, because this would contradict the claim of Luke that Lily is a knave if and only if Daniel is a knight.", "Lily cannot be a knave, because this would contradict the false claim of their own that Daniel is not a knave.", "We have exhausted all possibilities for Lily, so let us go back and reconsider Luke.", "Assume Luke is a knave. No contradiction is found in their false claim that Lily is a knave if and only if Daniel is a knight.", "Assume Lily is a knight. No contradiction is found in their claim that Daniel is not a knave.", "Oliver cannot be a knight, because this would contradict the claim of their own that Luke is not a knave.", "Assume Oliver is a knave. No contradiction is found in their false claim that Luke is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 1)), ('or', ('telling-truth', 1), ('lying', 0)), ('<=>', ('lying', 4), ('telling-truth', 1)), ('not', ('lying', 2)), ('not', ('lying', 1)))", "index": 610}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Elizabeth, Jack, Mia, Liam, and William. Elizabeth stated, \"Liam is a knight or William is a knight\". As Jack put it, \"If William is a knight then Mia is a knave\". Mia told you that Elizabeth is a knight if and only if Elizabeth is a knave. \"If William is a knight then Jack is a knight,\" Liam mentioned. \"If Mia is a knave then Liam is a knight\" - William. So who is a knight and who is a knave?", "names": ["Elizabeth", "Jack", "Mia", "Liam", "William"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true, true], "solution_text": "Elizabeth is a knight, Jack is a knight, Mia is a knave, Liam is a knight, and William is a knight.", "solution_text_format": "(1) Elizabeth is a knight\n(2) Jack is a knight\n(3) Mia is a knave\n(4) Liam is a knight\n(5) William is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Elizabeth is a knight. No contradiction is found in their claim that Liam is a knight or William is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that If William is a knight then Jack is a knight.", "Assume William is a knight. No contradiction is found in their claim that If Mia is a knave then Liam is a knight.", "Mia cannot be a knight, because this would contradict the claim of their own that Elizabeth is a knight if and only if Elizabeth is a knave.", "Assume Mia is a knave. No contradiction is found in their false claim that Elizabeth is a knight if and only if Elizabeth is a knave.", "Assume Jack is a knight. No contradiction is found in their claim that If William is a knight then Mia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 3), ('telling-truth', 4)), ('->', ('telling-truth', 4), ('lying', 2)), ('<=>', ('telling-truth', 0), ('lying', 0)), ('->', ('telling-truth', 4), ('telling-truth', 1)), ('->', ('lying', 2), ('telling-truth', 3)))", "index": 611}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Ella, Aria, Oliver, Ava, and Victoria. \"Aria is a knight if and only if Oliver is a knight,\" Ella claimed. \"Ella is not a knight,\" Aria declared. Oliver commented, \"Ava is not a knight\". In Ava's words: \"Ava is a knight if and only if Ella is a knave\". \"Oliver is a knave if and only if Aria is a knave,\" Victoria mentioned. So who is a knight and who is a knave?", "names": ["Ella", "Aria", "Oliver", "Ava", "Victoria"], "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": "Ella is a knave, Aria is a knight, Oliver is a knave, Ava is a knight, and Victoria is a knave.", "solution_text_format": "(1) Ella is a knave\n(2) Aria is a knight\n(3) Oliver is a knave\n(4) Ava is a knight\n(5) Victoria is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ella is a knight. No contradiction is found in their claim that Aria is a knight if and only if Oliver is a knight.", "Aria cannot be a knight, because this would contradict the claim of their own that Ella is not a knight.", "Assume Aria is a knave. No contradiction is found in their false claim that Ella is not a knight.", "Oliver cannot be a knight, because this would contradict the claim of Ella that Aria is a knight if and only if Oliver is a knight.", "Assume Oliver is a knave. No contradiction is found in their false claim that Ava is not a knight.", "Ava cannot be a knight, because this would contradict the claim of their own that Ava is a knight if and only if Ella is a knave.", "Ava cannot be a knave, because this would contradict the false claim of Oliver that Ava is not a knight.", "We have exhausted all possibilities for Ava, Oliver, and Aria, so let us go back and reconsider Ella.", "Assume Ella is a knave. No contradiction is found in their false claim that Aria is a knight if and only if Oliver is a knight.", "Assume Aria is a knight. No contradiction is found in their claim that Ella is not a knight.", "Oliver cannot be a knight, because this would contradict the false claim of Ella that Aria is a knight if and only if Oliver is a knight.", "Assume Oliver is a knave. No contradiction is found in their false claim that Ava is not a knight.", "Assume Ava is a knight. No contradiction is found in their claim that Ava is a knight if and only if Ella is a knave.", "Victoria cannot be a knight, because this would contradict the claim of their own that Oliver is a knave if and only if Aria is a knave.", "Assume Victoria is a knave. No contradiction is found in their false claim that Oliver is a knave if and only if Aria is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('telling-truth', 2)), ('not', ('telling-truth', 0)), ('not', ('telling-truth', 3)), ('<=>', ('telling-truth', 3), ('lying', 0)), ('<=>', ('lying', 2), ('lying', 1)))", "index": 612}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Harper, Matthew, Oliver, Sebastian, and Mia. In a statement by Harper: \"Harper is a knight if and only if Oliver is a knight\". In Matthew's words: \"If Mia is a knave then Oliver is a knight\". Oliver remarked, \"Sebastian is a knight\". According to Sebastian, \"Sebastian is a knight and Harper is a knight\". Mia commented, \"Sebastian is a knight and Matthew is a knave\". So who is a knight and who is a knave?", "names": ["Harper", "Matthew", "Oliver", "Sebastian", "Mia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, false], "solution_text": "Harper is a knight, Matthew is a knight, Oliver is a knight, Sebastian is a knight, and Mia is a knave.", "solution_text_format": "(1) Harper is a knight\n(2) Matthew is a knight\n(3) Oliver is a knight\n(4) Sebastian is a knight\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 Harper is a knight. No contradiction is found in their claim that Harper is a knight if and only if Oliver is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that Sebastian is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Sebastian is a knight and Harper is a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that If Mia is a knave then Oliver is a knight.", "Mia cannot be a knight, because this would contradict the claim of their own that Sebastian is a knight and Matthew is a knave.", "Assume Mia is a knave. No contradiction is found in their false claim that Sebastian is a knight and Matthew is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 0), ('telling-truth', 2)), ('->', ('lying', 4), ('telling-truth', 2)), ('telling-truth', 3), ('and', ('telling-truth', 3), ('telling-truth', 0)), ('and', ('telling-truth', 3), ('lying', 1)))", "index": 613}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Lucas, Olivia, Aria, Alexander, and Luke. In a statement by Lucas: \"Alexander is a knight if and only if Luke is a knave\". According to Olivia, \"Aria is a knight if and only if Alexander is a knave\". \"Lucas is a knight if and only if Luke is a knight,\" Aria declared. \"Luke is not a knave\" - Alexander. In Luke's words: \"Lucas is a knight if and only if Lucas is a knave\". So who is a knight and who is a knave?", "names": ["Lucas", "Olivia", "Aria", "Alexander", "Luke"], "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": "Lucas is a knave, Olivia is a knight, Aria is a knight, Alexander is a knave, and Luke is a knave.", "solution_text_format": "(1) Lucas is a knave\n(2) Olivia is a knight\n(3) Aria is a knight\n(4) Alexander 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 Lucas is a knight. No contradiction is found in their claim that Alexander is a knight if and only if Luke is a knave.", "Assume Alexander is a knight. No contradiction is found in their claim that Luke is not a knave.", "Luke cannot be a knight, because this would contradict the claim of Lucas that Alexander is a knight if and only if Luke is a knave.", "Luke cannot be a knave, because this would contradict the claim of Alexander that Luke is not a knave.", "We have exhausted all possibilities for Luke, so let us go back and reconsider Alexander.", "Assume Alexander is a knave. No contradiction is found in their false claim that Luke is not a knave.", "Luke cannot be a knight, because this would contradict the false claim of Alexander that Luke is not a knave.", "Luke cannot be a knave, because this would contradict the claim of Lucas that Alexander is a knight if and only if Luke is a knave.", "We have exhausted all possibilities for Luke and Alexander, so let us go back and reconsider Lucas.", "Assume Lucas is a knave. No contradiction is found in their false claim that Alexander is a knight if and only if Luke is a knave.", "Assume Alexander is a knight. No contradiction is found in their claim that Luke is not a knave.", "Luke cannot be a knight, because this would contradict the claim of their own that Lucas is a knight if and only if Lucas is a knave.", "Luke cannot be a knave, because this would contradict the false claim of Lucas that Alexander is a knight if and only if Luke is a knave.", "We have exhausted all possibilities for Luke, so let us go back and reconsider Alexander.", "Assume Alexander is a knave. No contradiction is found in their false claim that Luke is not a knave.", "Luke cannot be a knight, because this would contradict the false claim of Lucas that Alexander is a knight if and only if Luke is a knave.", "Assume Luke is a knave. No contradiction is found in their false claim that Lucas is a knight if and only if Lucas is a knave.", "Assume Olivia is a knight. No contradiction is found in their claim that Aria is a knight if and only if Alexander is a knave.", "Assume Aria is a knight. No contradiction is found in their claim that Lucas is a knight if and only if Luke is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 3), ('lying', 4)), ('<=>', ('telling-truth', 2), ('lying', 3)), ('<=>', ('telling-truth', 0), ('telling-truth', 4)), ('not', ('lying', 4)), ('<=>', ('telling-truth', 0), ('lying', 0)))", "index": 614}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: William, Aurora, Zoey, Elizabeth, and Matthew. \"Matthew is a knave if and only if William is a knight,\" William mentioned. Aurora said that Aurora is a knight if and only if William is a knave. Zoey expressed that William is not a knave. \"Aurora is not a knave,\" Elizabeth claimed. Matthew commented, \"Elizabeth is not a knight\". So who is a knight and who is a knave?", "names": ["William", "Aurora", "Zoey", "Elizabeth", "Matthew"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true, false], "solution_text": "William is a knave, Aurora is a knight, Zoey is a knave, Elizabeth is a knight, and Matthew is a knave.", "solution_text_format": "(1) William is a knave\n(2) Aurora is a knight\n(3) Zoey is a knave\n(4) Elizabeth is a knight\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 William is a knight. No contradiction is found in their claim that Matthew is a knave if and only if William is a knight.", "Matthew cannot be a knight, because this would contradict the claim of William that Matthew is a knave if and only if William is a knight.", "Assume Matthew is a knave. No contradiction is found in their false claim that Elizabeth is not a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Aurora is not a knave.", "Aurora cannot be a knight, because this would contradict the claim of their own that Aurora is a knight if and only if William is a knave.", "Aurora cannot be a knave, because this would contradict the false claim of their own that Aurora is a knight if and only if William is a knave.", "We have exhausted all possibilities for Aurora, so let us go back and reconsider Elizabeth.", "Elizabeth cannot be a knave, because this would contradict the false claim of Matthew that Elizabeth is not a knight.", "We have exhausted all possibilities for Elizabeth and Matthew, so let us go back and reconsider William.", "Assume William is a knave. No contradiction is found in their false claim that Matthew is a knave if and only if William is a knight.", "Matthew cannot be a knight, because this would contradict the false claim of William that Matthew is a knave if and only if William is a knight.", "Assume Matthew is a knave. No contradiction is found in their false claim that Elizabeth is not a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Aurora is not a knave.", "Assume Aurora is a knight. No contradiction is found in their claim that Aurora is a knight if and only if William is a knave.", "Zoey cannot be a knight, because this would contradict the claim of their own that William is not a knave.", "Assume Zoey is a knave. No contradiction is found in their false claim that William is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 4), ('telling-truth', 0)), ('<=>', ('telling-truth', 1), ('lying', 0)), ('not', ('lying', 0)), ('not', ('lying', 1)), ('not', ('telling-truth', 3)))", "index": 615}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aria, Joseph, Isabella, Owen, and Daniel. \"Joseph is a knave if and only if Owen is a knave,\" Aria declared. \"If Owen is a knave then Isabella is a knight,\" Joseph declared. In a statement by Isabella: \"Owen is a knight\". Owen told you that Owen is a knight if and only if Isabella is a knave. Daniel told you that Owen is a knight and Aria is a knight. So who is a knight and who is a knave?", "names": ["Aria", "Joseph", "Isabella", "Owen", "Daniel"], "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": "Aria is a knight, Joseph is a knave, Isabella is a knave, Owen is a knave, and Daniel is a knave.", "solution_text_format": "(1) Aria is a knight\n(2) Joseph is a knave\n(3) Isabella is a knave\n(4) Owen 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 Aria is a knight. No contradiction is found in their claim that Joseph is a knave if and only if Owen is a knave.", "Assume Joseph is a knight. No contradiction is found in their claim that If Owen is a knave then Isabella is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that Owen is a knight if and only if Isabella is a knave.", "Isabella cannot be a knight, because this would contradict the claim of Owen that Owen is a knight if and only if Isabella is a knave.", "Isabella cannot be a knave, because this would contradict the false claim of their own that Owen is a knight.", "We have exhausted all possibilities for Isabella, so let us go back and reconsider Owen.", "Owen cannot be a knave, because this would contradict the claim of Aria that Joseph is a knave if and only if Owen is a knave.", "We have exhausted all possibilities for Owen, so let us go back and reconsider Joseph.", "Assume Joseph is a knave. No contradiction is found in their false claim that If Owen is a knave then Isabella is a knight.", "Owen cannot be a knight, because this would contradict the claim of Aria that Joseph is a knave if and only if Owen is a knave.", "Assume Owen is a knave. No contradiction is found in their false claim that Owen is a knight if and only if Isabella is a knave.", "Isabella cannot be a knight, because this would contradict the false claim of Joseph that If Owen is a knave then Isabella is a knight.", "Assume Isabella is a knave. No contradiction is found in their false claim that Owen is a knight.", "Daniel cannot be a knight, because this would contradict the claim of their own that Owen is a knight and Aria is a knight.", "Assume Daniel is a knave. No contradiction is found in their false claim that Owen is a knight and Aria is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('lying', 3)), ('->', ('lying', 3), ('telling-truth', 2)), ('telling-truth', 3), ('<=>', ('telling-truth', 3), ('lying', 2)), ('and', ('telling-truth', 3), ('telling-truth', 0)))", "index": 616}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Isabella, Jackson, Luke, Victoria, and Aria. \"If Isabella is a knight then Jackson is a knave,\" Isabella claimed. \"Jackson is a knight or Isabella is a knave,\" Jackson claimed. Luke stated, \"Aria is a knight if and only if Aria is a knave\". Victoria stated, \"If Isabella is a knave then Isabella is a knight\". In a statement by Aria: \"Jackson is a knave and Victoria is a knight\". So who is a knight and who is a knave?", "names": ["Isabella", "Jackson", "Luke", "Victoria", "Aria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, true], "solution_text": "Isabella is a knight, Jackson is a knave, Luke is a knave, Victoria is a knight, and Aria is a knight.", "solution_text_format": "(1) Isabella is a knight\n(2) Jackson is a knave\n(3) Luke is a knave\n(4) Victoria 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 Isabella is a knight. No contradiction is found in their claim that If Isabella is a knight then Jackson is a knave.", "Jackson cannot be a knight, because this would contradict the claim of Isabella that If Isabella is a knight then Jackson is a knave.", "Assume Jackson is a knave. No contradiction is found in their false claim that Jackson is a knight or Isabella is a knave.", "Luke cannot be a knight, because this would contradict the claim of their own that Aria is a knight if and only if Aria is a knave.", "Assume Luke is a knave. No contradiction is found in their false claim that Aria is a knight if and only if Aria is a knave.", "Assume Aria is a knight. No contradiction is found in their claim that Jackson is a knave and Victoria is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that If Isabella is a knave then Isabella is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 0), ('lying', 1)), ('or', ('telling-truth', 1), ('lying', 0)), ('<=>', ('telling-truth', 4), ('lying', 4)), ('->', ('lying', 0), ('telling-truth', 0)), ('and', ('lying', 1), ('telling-truth', 3)))", "index": 617}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Henry, Harper, William, Aria, and Charlotte. According to Henry, \"William is a knight if and only if William is a knave\". Harper said, \"Henry is not a knight.\" \"Aria is a knave or Henry is a knight,\" William claimed. According to Aria, \"Charlotte is a knight\". \"William is a knave or Harper is a knight\" - Charlotte. So who is a knight and who is a knave?", "names": ["Henry", "Harper", "William", "Aria", "Charlotte"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true, true], "solution_text": "Henry is a knave, Harper is a knight, William is a knave, Aria is a knight, and Charlotte is a knight.", "solution_text_format": "(1) Henry is a knave\n(2) Harper is a knight\n(3) William is a knave\n(4) Aria 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": ["Henry cannot be a knight, because this would contradict the claim of their own that William is a knight if and only if William is a knave.", "Assume Henry is a knave. No contradiction is found in their false claim that William is a knight if and only if William is a knave.", "Assume William is a knight. No contradiction is found in their claim that Aria is a knave or Henry is a knight.", "Aria cannot be a knight, because this would contradict the claim of William that Aria is a knave or Henry is a knight.", "Assume Aria is a knave. No contradiction is found in their false claim that Charlotte is a knight.", "Charlotte cannot be a knight, because this would contradict the false claim of Aria that Charlotte is a knight.", "Assume Charlotte is a knave. No contradiction is found in their false claim that William is a knave or Harper is a knight.", "Harper cannot be a knight, because this would contradict the false claim of Charlotte that William is a knave or Harper is a knight.", "Harper cannot be a knave, because this would contradict the false claim of their own that Henry is not a knight.", "We have exhausted all possibilities for Harper, Charlotte, and Aria, so let us go back and reconsider William.", "Assume William is a knave. No contradiction is found in their false claim that Aria is a knave or Henry is a knight.", "Assume Aria 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 William is a knave or Harper is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that Henry is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 2), ('lying', 2)), ('not', ('telling-truth', 0)), ('or', ('lying', 3), ('telling-truth', 0)), ('telling-truth', 4), ('or', ('lying', 2), ('telling-truth', 1)))", "index": 618}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Alexander, Logan, Noah, Sophia, and Charlotte. Alexander commented, \"Logan is a knave\". Logan was heard saying, \"Alexander is a knave if and only if Noah is a knight\". \"Alexander is a knight\" - Noah. In Sophia's words: \"Alexander is not a knight\". In Charlotte's words: \"Sophia is not a knave\". So who is a knight and who is a knave?", "names": ["Alexander", "Logan", "Noah", "Sophia", "Charlotte"], "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": "Alexander is a knight, Logan is a knave, Noah is a knight, Sophia is a knave, and Charlotte is a knave.", "solution_text_format": "(1) Alexander is a knight\n(2) Logan is a knave\n(3) Noah is a knight\n(4) Sophia is a knave\n(5) Charlotte is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Alexander is a knight. No contradiction is found in their claim that Logan is a knave.", "Logan cannot be a knight, because this would contradict the claim of Alexander that Logan is a knave.", "Assume Logan is a knave. No contradiction is found in their false claim that Alexander is a knave if and only if Noah is a knight.", "Assume Noah is a knight. No contradiction is found in their claim that Alexander is a knight.", "Sophia cannot be a knight, because this would contradict the claim of their own that Alexander is not a knight.", "Assume Sophia is a knave. No contradiction is found in their false claim that Alexander is not a knight.", "Charlotte cannot be a knight, because this would contradict the claim of their own that Sophia is not a knave.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Sophia is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('<=>', ('lying', 0), ('telling-truth', 2)), ('telling-truth', 0), ('not', ('telling-truth', 0)), ('not', ('lying', 3)))", "index": 619}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Emily, Oliver, Penelope, Joseph, and Victoria. In a statement by Emily: \"Penelope is a knave or Oliver is a knight\". Oliver asserted: \"Emily is not a knave\". Penelope was heard saying, \"Emily is a knave if and only if Victoria is a knave\". Joseph commented, \"Penelope is a knight\". Victoria commented, \"Joseph is a knave\". So who is a knight and who is a knave?", "names": ["Emily", "Oliver", "Penelope", "Joseph", "Victoria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true, false], "solution_text": "Emily is a knave, Oliver is a knave, Penelope is a knight, Joseph is a knight, and Victoria is a knave.", "solution_text_format": "(1) Emily is a knave\n(2) Oliver is a knave\n(3) Penelope is a knight\n(4) Joseph is a knight\n(5) Victoria is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Emily is a knight. No contradiction is found in their claim that Penelope is a knave or Oliver is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that Emily is a knave if and only if Victoria is a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that Joseph is a knave.", "Joseph cannot be a knight, because this would contradict the claim of Victoria that Joseph is a knave.", "Joseph cannot be a knave, because this would contradict the false claim of their own that Penelope is a knight.", "We have exhausted all possibilities for Joseph, so let us go back and reconsider Victoria.", "Victoria cannot be a knave, because this would contradict the claim of Penelope that Emily is a knave if and only if Victoria is a knave.", "We have exhausted all possibilities for Victoria, so let us go back and reconsider Penelope.", "Assume Penelope is a knave. No contradiction is found in their false claim that Emily is a knave if and only if Victoria is a knave.", "Victoria cannot be a knight, because this would contradict the false claim of Penelope that Emily 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 Joseph is a knave.", "Joseph cannot be a knight, because this would contradict the claim of their own that Penelope is a knight.", "Joseph cannot be a knave, because this would contradict the false claim of Victoria that Joseph is a knave.", "We have exhausted all possibilities for Joseph, Victoria, and Penelope, so let us go back and reconsider Emily.", "Assume Emily is a knave. No contradiction is found in their false claim that Penelope is a knave or Oliver is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that Emily is a knave if and only if Victoria is a knave.", "Victoria cannot be a knight, because this would contradict the claim of Penelope that Emily 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 Joseph is a knave.", "Assume Joseph is a knight. No contradiction is found in their claim that Penelope is a knight.", "Oliver cannot be a knight, because this would contradict the false claim of Emily that Penelope is a knave or Oliver is a knight.", "Assume Oliver is a knave. No contradiction is found in their false claim that Emily is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 2), ('telling-truth', 1)), ('not', ('lying', 0)), ('<=>', ('lying', 0), ('lying', 4)), ('telling-truth', 2), ('lying', 3))", "index": 620}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Penelope, Chloe, Luke, Emily, and Alexander. Penelope stated, \"Chloe is a knight or Alexander is a knave\". In a statement by Chloe: \"Alexander is not a knight\". Luke commented, \"Penelope is a knight if and only if Emily is a knave\". Emily told you that Chloe is a knight and Penelope is a knave. Alexander remarked, \"Chloe is a knave or Luke is a knight\". So who is a knight and who is a knave?", "names": ["Penelope", "Chloe", "Luke", "Emily", "Alexander"], "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": "Penelope is a knave, Chloe is a knave, Luke is a knave, Emily is a knave, and Alexander is a knight.", "solution_text_format": "(1) Penelope is a knave\n(2) Chloe is a knave\n(3) Luke is a knave\n(4) Emily is a knave\n(5) 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 Penelope is a knight. No contradiction is found in their claim that Chloe is a knight or Alexander is a knave.", "Assume Chloe 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 Chloe that Alexander is not a knight.", "Assume Alexander is a knave. No contradiction is found in their false claim that Chloe is a knave or Luke is a knight.", "Luke cannot be a knight, because this would contradict the false claim of Alexander that Chloe is a knave or Luke is a knight.", "Assume Luke is a knave. No contradiction is found in their false claim that Penelope is a knight if and only if Emily is a knave.", "Emily cannot be a knight, because this would contradict the claim of their own that Chloe is a knight and Penelope is a knave.", "Emily cannot be a knave, because this would contradict the false claim of Luke that Penelope is a knight if and only if Emily is a knave.", "We have exhausted all possibilities for Emily, Luke, and Alexander, so let us go back and reconsider Chloe.", "Assume Chloe is a knave. No contradiction is found in their false claim that Alexander is not a knight.", "Alexander cannot be a knight, because this would contradict the claim of Penelope that Chloe is a knight or Alexander is a knave.", "Alexander cannot be a knave, because this would contradict the false claim of Chloe that Alexander is not a knight.", "We have exhausted all possibilities for Alexander and Chloe, so let us go back and reconsider Penelope.", "Assume Penelope is a knave. No contradiction is found in their false claim that Chloe is a knight or Alexander is a knave.", "Chloe cannot be a knight, because this would contradict the false claim of Penelope that Chloe is a knight or Alexander is a knave.", "Assume Chloe is a knave. No contradiction is found in their false claim that Alexander is not a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that Chloe is a knave or Luke is a knight.", "Assume Luke is a knight. No contradiction is found in their claim that Penelope is a knight if and only if Emily is a knave.", "Emily cannot be a knight, because this would contradict the claim of their own that Chloe is a knight and Penelope is a knave.", "Emily cannot be a knave, because this would contradict the claim of Luke that Penelope is a knight if and only if Emily is a knave.", "We have exhausted all possibilities for Emily, so let us go back and reconsider Luke.", "Assume Luke is a knave. No contradiction is found in their false claim that Penelope is a knight if and only if Emily is a knave.", "Emily cannot be a knight, because this would contradict the false claim of Luke that Penelope is a knight if and only if Emily is a knave.", "Assume Emily is a knave. No contradiction is found in their false claim that Chloe is a knight and Penelope is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 1), ('lying', 4)), ('not', ('telling-truth', 4)), ('<=>', ('telling-truth', 0), ('lying', 3)), ('and', ('telling-truth', 1), ('lying', 0)), ('or', ('lying', 1), ('telling-truth', 2)))", "index": 621}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Avery, Ethan, Luke, Samuel, and Evelyn. Avery said that Luke is not a knight. Ethan said that Luke is a knave if and only if Ethan is a knight. Luke said, \"Samuel is a knight or Ethan is a knave.\" \"Ethan is a knave or Luke is a knight,\" Samuel mentioned. Evelyn expressed that If Luke is a knave then Luke is a knight. So who is a knight and who is a knave?", "names": ["Avery", "Ethan", "Luke", "Samuel", "Evelyn"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false, false], "solution_text": "Avery is a knight, Ethan is a knight, Luke is a knave, Samuel is a knave, and Evelyn is a knave.", "solution_text_format": "(1) Avery is a knight\n(2) Ethan is a knight\n(3) Luke is a knave\n(4) Samuel is a knave\n(5) 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 Avery is a knight. No contradiction is found in their claim that Luke is not a knight.", "Luke cannot be a knight, because this would contradict the claim of Avery that Luke is not a knight.", "Assume Luke is a knave. No contradiction is found in their false claim that Samuel is a knight or Ethan is a knave.", "Samuel cannot be a knight, because this would contradict the false claim of Luke that Samuel is a knight or Ethan is a knave.", "Assume Samuel is a knave. No contradiction is found in their false claim that Ethan is a knave or Luke is a knight.", "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.", "Evelyn 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 Evelyn is a knave. No contradiction is found in their false claim that If Luke is a knave then Luke is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 2)), ('<=>', ('lying', 2), ('telling-truth', 1)), ('or', ('telling-truth', 3), ('lying', 1)), ('or', ('lying', 1), ('telling-truth', 2)), ('->', ('lying', 2), ('telling-truth', 2)))", "index": 622}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Amelia, Evelyn, Avery, Penelope, and Sofia. Amelia expressed that Penelope is not a knave. Evelyn told you that Avery is a knave. In Avery's words: \"Sofia is not a knave\". Penelope remarked, \"Avery is a knight\". Sofia expressed that Sofia is a knight if and only if Amelia is a knave. So who is a knight and who is a knave?", "names": ["Amelia", "Evelyn", "Avery", "Penelope", "Sofia"], "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": "Amelia is a knave, Evelyn is a knight, Avery is a knave, Penelope is a knave, and Sofia is a knave.", "solution_text_format": "(1) Amelia is a knave\n(2) Evelyn is a knight\n(3) Avery is a knave\n(4) Penelope is a knave\n(5) Sofia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Amelia is a knight. No contradiction is found in their claim that Penelope is not a knave.", "Assume Penelope is a knight. No contradiction is found in their claim that Avery is a knight.", "Assume Avery is a knight. No contradiction is found in their claim that Sofia is not a knave.", "Sofia cannot be a knight, because this would contradict the claim of their own that Sofia is a knight if and only if Amelia is a knave.", "Sofia cannot be a knave, because this would contradict the claim of Avery that Sofia is not a knave.", "We have exhausted all possibilities for Sofia, so let us go back and reconsider Avery.", "Avery cannot be a knave, because this would contradict the claim of Penelope that Avery is a knight.", "We have exhausted all possibilities for Avery, so let us go back and reconsider Penelope.", "Penelope cannot be a knave, because this would contradict the claim of Amelia that Penelope is not a knave.", "We have exhausted all possibilities for Penelope, so let us go back and reconsider Amelia.", "Assume Amelia is a knave. No contradiction is found in their false claim that Penelope is not a knave.", "Penelope cannot be a knight, because this would contradict the false claim of Amelia that Penelope is not a knave.", "Assume Penelope is a knave. No contradiction is found in their false claim that Avery is a knight.", "Avery cannot be a knight, because this would contradict the false claim of Penelope that Avery is a knight.", "Assume Avery is a knave. No contradiction is found in their false claim that Sofia is not a knave.", "Sofia cannot be a knight, because this would contradict the false claim of Avery that Sofia is not a knave.", "Assume Sofia is a knave. No contradiction is found in their false claim that Sofia is a knight if and only if Amelia is a knave.", "Assume Evelyn is a knight. No contradiction is found in their claim that Avery is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 3)), ('lying', 2), ('not', ('lying', 4)), ('telling-truth', 2), ('<=>', ('telling-truth', 4), ('lying', 0)))", "index": 623}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Amelia, Abigail, Aria, Benjamin, and Riley. As Amelia put it, \"If Benjamin is a knave then Abigail is a knight\". Abigail told you that If Riley is a knight then Benjamin is a knave. \"If Amelia is a knave then Benjamin is a knave,\" Aria mentioned. Benjamin commented, \"Abigail is a knave or Amelia is a knight\". Riley told you that Benjamin is not a knight. So who is a knight and who is a knave?", "names": ["Amelia", "Abigail", "Aria", "Benjamin", "Riley"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, false], "solution_text": "Amelia is a knight, Abigail is a knight, Aria is a knight, Benjamin is a knight, and Riley is a knave.", "solution_text_format": "(1) Amelia is a knight\n(2) Abigail is a knight\n(3) Aria is a knight\n(4) Benjamin is a knight\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 Amelia is a knight. No contradiction is found in their claim that If Benjamin is a knave then Abigail is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that Abigail is a knave or Amelia is a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that If Riley is a knight then Benjamin is a knave.", "Riley cannot be a knight, because this would contradict the claim of Abigail that If Riley is a knight then Benjamin is a knave.", "Assume Riley is a knave. No contradiction is found in their false claim that Benjamin is not a knight.", "Assume Aria is a knight. No contradiction is found in their claim that If Amelia is a knave then Benjamin is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 3), ('telling-truth', 1)), ('->', ('telling-truth', 4), ('lying', 3)), ('->', ('lying', 0), ('lying', 3)), ('or', ('lying', 1), ('telling-truth', 0)), ('not', ('telling-truth', 3)))", "index": 624}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Joseph, Daniel, Isabella, Chloe, and Michael. In Joseph's words: \"Chloe is a knight\". \"Chloe is a knight or Daniel is a knight\" - Daniel. Isabella asserted: \"Chloe is a knave if and only if Michael is a knight\". Chloe said that Michael is a knave if and only if Joseph is a knight. Michael commented, \"Michael is a knight if and only if Chloe is a knight\". So who is a knight and who is a knave?", "names": ["Joseph", "Daniel", "Isabella", "Chloe", "Michael"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, false], "solution_text": "Joseph is a knight, Daniel is a knight, Isabella is a knight, Chloe is a knight, and Michael is a knave.", "solution_text_format": "(1) Joseph is a knight\n(2) Daniel is a knight\n(3) Isabella is a knight\n(4) Chloe is a knight\n(5) Michael is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Joseph is a knight. No contradiction is found in their claim that Chloe is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that Michael is a knave if and only if Joseph is a knight.", "Michael cannot be a knight, because this would contradict the claim of Chloe that Michael is a knave if and only if Joseph is a knight.", "Assume Michael is a knave. No contradiction is found in their false claim that Michael is a knight if and only if Chloe is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that Chloe is a knight or Daniel is a knight.", "Assume Isabella is a knight. No contradiction is found in their claim that Chloe is a knave if and only if Michael is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 3), ('or', ('telling-truth', 3), ('telling-truth', 1)), ('<=>', ('lying', 3), ('telling-truth', 4)), ('<=>', ('lying', 4), ('telling-truth', 0)), ('<=>', ('telling-truth', 4), ('telling-truth', 3)))", "index": 625}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Matthew, James, Owen, Elizabeth, and Mason. \"Mason is a knight and Owen is a knight,\" Matthew claimed. James noted, \"Mason is a knight and James is a knight\". Owen said that Elizabeth is not a knight. As Elizabeth put it, \"Matthew is a knave if and only if Mason is a knave\". \"Elizabeth is a knave or Owen is a knight,\" Mason mentioned. So who is a knight and who is a knave?", "names": ["Matthew", "James", "Owen", "Elizabeth", "Mason"], "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": "Matthew is a knave, James is a knave, Owen is a knave, Elizabeth is a knight, and Mason is a knave.", "solution_text_format": "(1) Matthew is a knave\n(2) James is a knave\n(3) Owen is a knave\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 Matthew is a knight. No contradiction is found in their claim that Mason is a knight and Owen is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that Elizabeth is a knave or Owen is a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Matthew is a knave if and only if Mason is a knave.", "Owen cannot be a knight, because this would contradict the claim of their own that Elizabeth is not a knight.", "Owen cannot be a knave, because this would contradict the claim of Matthew that Mason is a knight and Owen is a knight.", "We have exhausted all possibilities for Owen, so let us go back and reconsider Elizabeth.", "Elizabeth cannot be a knave, because this would contradict the false claim of their own that Matthew is a knave if and only if Mason is a knave.", "We have exhausted all possibilities for Elizabeth, so let us go back and reconsider Mason.", "Mason cannot be a knave, because this would contradict the claim of Matthew that Mason is a knight and Owen is a knight.", "We have exhausted all possibilities for Mason, so let us go back and reconsider Matthew.", "Assume Matthew is a knave. No contradiction is found in their false claim that Mason is a knight and Owen is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that Elizabeth is a knave or Owen is a knight.", "Elizabeth cannot be a knight, because this would contradict the claim of their own that Matthew is a knave if and only if Mason is a knave.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Matthew is a knave if and only if Mason is a knave.", "Owen cannot be a knight, because this would contradict the false claim of Matthew that Mason is a knight and Owen is a knight.", "Owen cannot be a knave, because this would contradict the false claim of their own that Elizabeth is not a knight.", "We have exhausted all possibilities for Owen and Elizabeth, so let us go back and reconsider Mason.", "Assume Mason is a knave. No contradiction is found in their false claim that Elizabeth is a knave or Owen is a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Matthew is a knave if and only if Mason is a knave.", "Owen cannot be a knight, because this would contradict the claim of their own that Elizabeth is not a knight.", "Assume Owen is a knave. No contradiction is found in their false claim that Elizabeth is not a knight.", "James cannot be a knight, because this would contradict the claim of their own that Mason is a knight and James is a knight.", "Assume James is a knave. No contradiction is found in their false claim that Mason is a knight and James is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 4), ('telling-truth', 2)), ('and', ('telling-truth', 4), ('telling-truth', 1)), ('not', ('telling-truth', 3)), ('<=>', ('lying', 0), ('lying', 4)), ('or', ('lying', 3), ('telling-truth', 2)))", "index": 626}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Jacob, Penelope, Harper, Jack, and Mason. Jacob said that Jack is a knight if and only if Mason is a knight. Penelope commented, \"Mason is not a knight\". Harper expressed that Mason is not a knight. Jack expressed that Jacob is a knight. Mason expressed that Jacob is a knight and Mason is a knight. So who is a knight and who is a knave?", "names": ["Jacob", "Penelope", "Harper", "Jack", "Mason"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, true], "solution_text": "Jacob is a knight, Penelope is a knave, Harper is a knave, Jack is a knight, and Mason is a knight.", "solution_text_format": "(1) Jacob is a knight\n(2) Penelope is a knave\n(3) Harper is a knave\n(4) Jack is a knight\n(5) 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 Jacob is a knight. No contradiction is found in their claim that Jack is a knight if and only if Mason is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that Jacob is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that Jacob is a knight and Mason is a knight.", "Penelope cannot be a knight, because this would contradict the claim of their own that Mason is not a knight.", "Assume Penelope is a knave. No contradiction is found in their false claim that Mason is not a knight.", "Harper cannot be a knight, because this would contradict the claim of their own that Mason is not a knight.", "Assume Harper is a knave. No contradiction is found in their false claim that Mason is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 3), ('telling-truth', 4)), ('not', ('telling-truth', 4)), ('not', ('telling-truth', 4)), ('telling-truth', 0), ('and', ('telling-truth', 0), ('telling-truth', 4)))", "index": 627}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: William, Benjamin, Ethan, Amelia, and Avery. William expressed that Ethan is not a knave. \"Amelia is a knight and William is a knight,\" Benjamin declared. According to Ethan, \"Benjamin is a knave\". \"Ethan is a knave and Avery is a knave,\" Amelia claimed. Avery said that Benjamin is not a knave. So who is a knight and who is a knave?", "names": ["William", "Benjamin", "Ethan", "Amelia", "Avery"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false, false], "solution_text": "William is a knight, Benjamin is a knave, Ethan is a knight, Amelia is a knave, and Avery is a knave.", "solution_text_format": "(1) William is a knight\n(2) Benjamin is a knave\n(3) Ethan is a knight\n(4) Amelia is a knave\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 William is a knight. No contradiction is found in their claim that Ethan is not a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that Benjamin is a knave.", "Benjamin cannot be a knight, because this would contradict the claim of Ethan that Benjamin is a knave.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Amelia is a knight and William is a knight.", "Amelia cannot be a knight, because this would contradict the false claim of Benjamin that Amelia is a knight and William is a knight.", "Assume Amelia is a knave. No contradiction is found in their false claim that Ethan is a knave and Avery is a knave.", "Avery cannot be a knight, because this would contradict the claim of their own that Benjamin is not a knave.", "Assume Avery is a knave. No contradiction is found in their false claim that Benjamin is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 2)), ('and', ('telling-truth', 3), ('telling-truth', 0)), ('lying', 1), ('and', ('lying', 2), ('lying', 4)), ('not', ('lying', 1)))", "index": 628}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Joseph, Abigail, Zoey, Oliver, and Ava. Joseph told you that Oliver is a knight and Ava is a knave. Abigail expressed that Oliver is a knight and Joseph is a knave. Zoey stated, \"Zoey is a knight if and only if Abigail is a knave\". \"Zoey is a knight if and only if Ava is a knave,\" Oliver declared. Ava said that Abigail is a knave. So who is a knight and who is a knave?", "names": ["Joseph", "Abigail", "Zoey", "Oliver", "Ava"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false, true], "solution_text": "Joseph is a knave, Abigail is a knave, Zoey is a knight, Oliver is a knave, and Ava is a knight.", "solution_text_format": "(1) Joseph is a knave\n(2) Abigail is a knave\n(3) Zoey is a knight\n(4) Oliver is a knave\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 Joseph is a knight. No contradiction is found in their claim that Oliver is a knight and Ava is a knave.", "Assume Oliver is a knight. No contradiction is found in their claim that Zoey is a knight if and only if Ava is a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that Zoey is a knight if and only if Abigail is a knave.", "Abigail cannot be a knight, because this would contradict the claim of their own that Oliver is a knight and Joseph is a knave.", "Assume Abigail is a knave. No contradiction is found in their false claim that Oliver is a knight and Joseph is a knave.", "Ava cannot be a knight, because this would contradict the claim of Joseph that Oliver is a knight and Ava is a knave.", "Ava cannot be a knave, because this would contradict the false claim of their own that Abigail is a knave.", "We have exhausted all possibilities for Ava and Abigail, so let us go back and reconsider Zoey.", "Assume Zoey is a knave. No contradiction is found in their false claim that Zoey is a knight if and only if Abigail is a knave.", "Abigail cannot be a knight, because this would contradict the claim of their own that Oliver is a knight and Joseph is a knave.", "Assume Abigail is a knave. No contradiction is found in their false claim that Oliver is a knight and Joseph is a knave.", "Ava cannot be a knight, because this would contradict the claim of Joseph that Oliver is a knight and Ava is a knave.", "Ava cannot be a knave, because this would contradict the claim of Oliver that Zoey is a knight if and only if Ava is a knave.", "We have exhausted all possibilities for Ava, Abigail, and Zoey, so let us go back and reconsider Oliver.", "Oliver cannot be a knave, because this would contradict the claim of Joseph that Oliver is a knight and Ava is a knave.", "We have exhausted all possibilities for Oliver, so let us go back and reconsider Joseph.", "Assume Joseph is a knave. No contradiction is found in their false claim that Oliver is a knight and Ava is a knave.", "Assume Oliver is a knight. No contradiction is found in their claim that Zoey is a knight if and only if Ava is a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that Zoey is a knight if and only if Abigail is a knave.", "Abigail cannot be a knight, because this would contradict the claim of Zoey that Zoey is a knight if and only if Abigail is a knave.", "Abigail cannot be a knave, because this would contradict the false claim of their own that Oliver is a knight and Joseph is a knave.", "We have exhausted all possibilities for Abigail, so let us go back and reconsider Zoey.", "Assume Zoey is a knave. No contradiction is found in their false claim that Zoey is a knight if and only if Abigail is a knave.", "Abigail cannot be a knight, because this would contradict the false claim of Zoey that Zoey is a knight if and only if Abigail is a knave.", "Abigail cannot be a knave, because this would contradict the false claim of their own that Oliver is a knight and Joseph is a knave.", "We have exhausted all possibilities for Abigail and Zoey, so let us go back and reconsider Oliver.", "Assume Oliver is a knave. No contradiction is found in their false claim that Zoey is a knight if and only if Ava is a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that Zoey is a knight if and only if Abigail is a knave.", "Abigail cannot be a knight, because this would contradict the claim of their own that Oliver is a knight and Joseph is a knave.", "Assume Abigail is a knave. No contradiction is found in their false claim that Oliver is a knight and Joseph is a knave.", "Assume Ava is a knight. No contradiction is found in their claim that Abigail is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 3), ('lying', 4)), ('and', ('telling-truth', 3), ('lying', 0)), ('<=>', ('telling-truth', 2), ('lying', 1)), ('<=>', ('telling-truth', 2), ('lying', 4)), ('lying', 1))", "index": 629}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Ethan, Sebastian, Joseph, Sophia, and Scarlett. Ethan said that Sebastian is not a knave. Sebastian expressed that Sophia is a knight. Joseph told you that If Sebastian is a knave then Sophia is a knave. \"Ethan is a knave or Joseph is a knight,\" Sophia declared. \"Sebastian is a knight or Sebastian is a knave,\" Scarlett declared. So who is a knight and who is a knave?", "names": ["Ethan", "Sebastian", "Joseph", "Sophia", "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": "Ethan is a knight, Sebastian is a knight, Joseph is a knight, Sophia is a knight, and Scarlett is a knight.", "solution_text_format": "(1) Ethan is a knight\n(2) Sebastian is a knight\n(3) Joseph is a knight\n(4) Sophia 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 Ethan 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 Sophia is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that Ethan is a knave or Joseph is a knight.", "Assume Joseph is a knight. No contradiction is found in their claim that If Sebastian is a knave then Sophia is a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that Sebastian is a knight or Sebastian is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 1)), ('telling-truth', 3), ('->', ('lying', 1), ('lying', 3)), ('or', ('lying', 0), ('telling-truth', 2)), ('or', ('telling-truth', 1), ('lying', 1)))", "index": 630}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Charlotte, Luke, Aurora, Amelia, and Oliver. In a statement by Charlotte: \"Luke is not a knave\". \"If Amelia is a knight then Aurora is a knight,\" Luke declared. In a statement by Aurora: \"Charlotte is a knave or Luke is a knave\". Amelia said that Amelia is a knight and Luke is a knight. Oliver noted, \"Charlotte is a knight if and only if Amelia is a knave\". So who is a knight and who is a knave?", "names": ["Charlotte", "Luke", "Aurora", "Amelia", "Oliver"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false, true], "solution_text": "Charlotte is a knight, Luke is a knight, Aurora is a knave, Amelia is a knave, and Oliver is a knight.", "solution_text_format": "(1) Charlotte is a knight\n(2) Luke is a knight\n(3) Aurora is a knave\n(4) Amelia is a knave\n(5) Oliver is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Charlotte is a knight. No contradiction is found in their claim that Luke is not a knave.", "Assume Luke is a knight. No contradiction is found in their claim that If Amelia is a knight then Aurora is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that Amelia is a knight and Luke is a knight.", "Aurora cannot be a knight, because this would contradict the claim of their own that Charlotte is a knave or Luke is a knave.", "Aurora cannot be a knave, because this would contradict the claim of Luke that If Amelia is a knight then Aurora is a knight.", "We have exhausted all possibilities for Aurora, so let us go back and reconsider Amelia.", "Assume Amelia is a knave. No contradiction is found in their false claim that Amelia is a knight and Luke is a knight.", "Aurora cannot be a knight, because this would contradict the claim of their own that Charlotte is a knave or Luke is a knave.", "Assume Aurora is a knave. No contradiction is found in their false claim that Charlotte is a knave or Luke is a knave.", "Assume Oliver is a knight. No contradiction is found in their claim that Charlotte is a knight if and only if Amelia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 1)), ('->', ('telling-truth', 3), ('telling-truth', 2)), ('or', ('lying', 0), ('lying', 1)), ('and', ('telling-truth', 3), ('telling-truth', 1)), ('<=>', ('telling-truth', 0), ('lying', 3)))", "index": 631}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Charlotte, Owen, Logan, Samuel, and Ella. In a statement by Charlotte: \"Samuel is not a knave\". \"Samuel is a knave,\" Owen declared. Logan stated, \"Samuel is a knave or Charlotte is a knave\". Samuel said, \"Logan is a knight or Logan is a knave.\" According to Ella, \"Logan is a knight\". So who is a knight and who is a knave?", "names": ["Charlotte", "Owen", "Logan", "Samuel", "Ella"], "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": "Charlotte is a knight, Owen is a knave, Logan is a knave, Samuel is a knight, and Ella is a knave.", "solution_text_format": "(1) Charlotte is a knight\n(2) Owen is a knave\n(3) Logan is a knave\n(4) Samuel is a knight\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 Charlotte is a knight. No contradiction is found in their claim that Samuel is not a knave.", "Assume Samuel is a knight. No contradiction is found in their claim that Logan is a knight or Logan is a knave.", "Logan cannot be a knight, because this would contradict the claim of their own that Samuel is a knave or Charlotte is a knave.", "Assume Logan is a knave. No contradiction is found in their false claim that Samuel is a knave or Charlotte is a knave.", "Owen cannot be a knight, because this would contradict the claim of their own that Samuel is a knave.", "Assume Owen is a knave. No contradiction is found in their false claim that Samuel is a knave.", "Ella cannot be a knight, because this would contradict the claim of their own that Logan is a knight.", "Assume Ella is a knave. No contradiction is found in their false claim that Logan is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 3)), ('lying', 3), ('or', ('lying', 3), ('lying', 0)), ('or', ('telling-truth', 2), ('lying', 2)), ('telling-truth', 2))", "index": 632}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Grace, Liam, Sebastian, Luke, and Evelyn. According to Grace, \"If Sebastian is a knight then Luke is a knight\". Liam expressed that If Grace is a knave then Luke is a knight. Sebastian stated, \"Liam is a knave if and only if Grace is a knave\". Luke stated, \"Evelyn is a knight or Grace is a knave\". \"Grace is a knight and Evelyn is a knight,\" Evelyn claimed. So who is a knight and who is a knave?", "names": ["Grace", "Liam", "Sebastian", "Luke", "Evelyn"], "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": "Grace is a knight, Liam is a knight, Sebastian is a knight, Luke is a knight, and Evelyn is a knight.", "solution_text_format": "(1) Grace is a knight\n(2) Liam is a knight\n(3) Sebastian is a knight\n(4) Luke is a knight\n(5) Evelyn is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Grace is a knight. No contradiction is found in their claim that If Sebastian is a knight then Luke is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Liam is a knave if and only if Grace is a knave.", "Assume Liam is a knight. No contradiction is found in their claim that If Grace is a knave then Luke is a knight.", "Assume Luke is a knight. No contradiction is found in their claim that Evelyn is a knight or Grace is a knave.", "Assume Evelyn is a knight. No contradiction is found in their claim that Grace is a knight and Evelyn is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 2), ('telling-truth', 3)), ('->', ('lying', 0), ('telling-truth', 3)), ('<=>', ('lying', 1), ('lying', 0)), ('or', ('telling-truth', 4), ('lying', 0)), ('and', ('telling-truth', 0), ('telling-truth', 4)))", "index": 633}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Elizabeth, Chloe, Noah, Emma, and Penelope. Elizabeth said, \"Emma is a knave.\" \"If Noah is a knave then Elizabeth is a knight,\" Chloe declared. \"If Penelope is a knight then Noah is a knight,\" Noah declared. \"If Elizabeth is a knave then Penelope is a knight,\" Emma claimed. Penelope said, \"Chloe is a knight if and only if Emma is a knave.\" So who is a knight and who is a knave?", "names": ["Elizabeth", "Chloe", "Noah", "Emma", "Penelope"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true, true], "solution_text": "Elizabeth is a knave, Chloe is a knave, Noah is a knave, Emma is a knight, and Penelope is a knight.", "solution_text_format": "(1) Elizabeth is a knave\n(2) Chloe is a knave\n(3) Noah is a knave\n(4) Emma is a knight\n(5) Penelope is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Elizabeth is a knight. No contradiction is found in their claim that Emma is a knave.", "Emma cannot be a knight, because this would contradict the claim of Elizabeth that Emma is a knave.", "Emma cannot be a knave, because this would contradict the false claim of their own that If Elizabeth is a knave then Penelope is a knight.", "We have exhausted all possibilities for Emma, so let us go back and reconsider Elizabeth.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Emma is a knave.", "Assume Emma is a knight. No contradiction is found in their claim that If Elizabeth is a knave then Penelope is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that Chloe is a knight if and only if Emma is a knave.", "Chloe cannot be a knight, because this would contradict the claim of Penelope that Chloe is a knight if and only if Emma is a knave.", "Assume Chloe is a knave. No contradiction is found in their false claim that If Noah is a knave then Elizabeth is a knight.", "Noah cannot be a knight, because this would contradict the false claim of Chloe that If Noah is a knave then Elizabeth is a knight.", "Assume Noah is a knave. No contradiction is found in their false claim that If Penelope is a knight then Noah is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 3), ('->', ('lying', 2), ('telling-truth', 0)), ('->', ('telling-truth', 4), ('telling-truth', 2)), ('->', ('lying', 0), ('telling-truth', 4)), ('<=>', ('telling-truth', 1), ('lying', 3)))", "index": 634}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Mason, David, Ethan, Joseph, and Aria. As Mason put it, \"If Aria is a knight then Mason is a knight\". \"Mason is a knave if and only if Aria is a knight,\" David claimed. Ethan said, \"Joseph is a knight and Aria is a knave.\" \"If Ethan is a knight then Ethan is a knave,\" Joseph declared. According to Aria, \"David is not a knave\". So who is a knight and who is a knave?", "names": ["Mason", "David", "Ethan", "Joseph", "Aria"], "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": "Mason is a knave, David is a knight, Ethan is a knave, Joseph is a knight, and Aria is a knight.", "solution_text_format": "(1) Mason is a knave\n(2) David is a knight\n(3) Ethan is a knave\n(4) Joseph 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 Mason is a knight. No contradiction is found in their claim that If Aria is a knight then Mason is a knight.", "Assume Aria is a knight. No contradiction is found in their claim that David is not a knave.", "David cannot be a knight, because this would contradict the claim of their own that Mason is a knave if and only if Aria is a knight.", "David cannot be a knave, because this would contradict the claim of Aria that David is not a knave.", "We have exhausted all possibilities for David, so let us go back and reconsider Aria.", "Assume Aria is a knave. No contradiction is found in their false claim that David is not a knave.", "David cannot be a knight, because this would contradict the false claim of Aria that David is not a knave.", "David cannot be a knave, because this would contradict the false claim of their own that Mason is a knave if and only if Aria is a knight.", "We have exhausted all possibilities for David and Aria, so let us go back and reconsider Mason.", "Assume Mason is a knave. No contradiction is found in their false claim that If Aria is a knight then Mason is a knight.", "Assume Aria is a knight. No contradiction is found in their claim that David is not a knave.", "Assume David is a knight. No contradiction is found in their claim that Mason is a knave if and only if Aria is a knight.", "Ethan cannot be a knight, because this would contradict the claim of their own that Joseph is a knight and Aria is a knave.", "Assume Ethan is a knave. No contradiction is found in their false claim that Joseph is a knight and Aria is a knave.", "Assume Joseph is a knight. No contradiction is found in their claim that If Ethan is a knight then Ethan is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 4), ('telling-truth', 0)), ('<=>', ('lying', 0), ('telling-truth', 4)), ('and', ('telling-truth', 3), ('lying', 4)), ('->', ('telling-truth', 2), ('lying', 2)), ('not', ('lying', 1)))", "index": 635}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Charlotte, William, Evelyn, Victoria, and Logan. \"Victoria is a knight if and only if Logan is a knight\" - Charlotte. \"If Charlotte is a knight then Charlotte is a knave,\" William mentioned. \"Logan is a knave or Charlotte is a knave,\" Evelyn declared. Victoria asserted: \"William is a knight or Victoria is a knight\". Logan expressed that Victoria is a knave. So who is a knight and who is a knave?", "names": ["Charlotte", "William", "Evelyn", "Victoria", "Logan"], "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": "Charlotte is a knave, William is a knight, Evelyn is a knight, Victoria is a knight, and Logan is a knave.", "solution_text_format": "(1) Charlotte is a knave\n(2) William is a knight\n(3) Evelyn is a knight\n(4) Victoria is a knight\n(5) Logan is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Charlotte is a knight. No contradiction is found in their claim that Victoria is a knight if and only if Logan is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that William is a knight or Victoria is a knight.", "William cannot be a knight, because this would contradict the claim of their own that If Charlotte is a knight then Charlotte is a knave.", "Assume William is a knave. No contradiction is found in their false claim that If Charlotte is a knight then Charlotte is a knave.", "Logan cannot be a knight, because this would contradict the claim of their own that Victoria is a knave.", "Logan cannot be a knave, because this would contradict the claim of Charlotte that Victoria is a knight if and only if Logan is a knight.", "We have exhausted all possibilities for Logan and William, so let us go back and reconsider Victoria.", "Assume Victoria is a knave. No contradiction is found in their false claim that William is a knight or Victoria is a knight.", "William cannot be a knight, because this would contradict the claim of their own that If Charlotte is a knight then Charlotte is a knave.", "Assume William is a knave. No contradiction is found in their false claim that If Charlotte is a knight then Charlotte is a knave.", "Logan cannot be a knight, because this would contradict the claim of Charlotte that Victoria is a knight if and only if Logan is a knight.", "Logan cannot be a knave, because this would contradict the false claim of their own that Victoria is a knave.", "We have exhausted all possibilities for Logan, William, and Victoria, so let us go back and reconsider Charlotte.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Victoria is a knight if and only if Logan is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that William is a knight or Victoria is a knight.", "Assume William is a knight. No contradiction is found in their claim that If Charlotte is a knight then Charlotte is a knave.", "Logan cannot be a knight, because this would contradict the false claim of Charlotte that Victoria is a knight if and only if Logan is a knight.", "Assume Logan is a knave. No contradiction is found in their false claim that Victoria is a knave.", "Assume Evelyn is a knight. No contradiction is found in their claim that Logan is a knave or Charlotte is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 3), ('telling-truth', 4)), ('->', ('telling-truth', 0), ('lying', 0)), ('or', ('lying', 4), ('lying', 0)), ('or', ('telling-truth', 1), ('telling-truth', 3)), ('lying', 3))", "index": 636}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Abigail, Charlotte, Alexander, Grace, and Jackson. As Abigail put it, \"Charlotte is not a knight\". \"Grace is not a knave,\" Charlotte declared. Alexander was heard saying, \"Grace is a knight if and only if Charlotte is a knave\". Grace said that Alexander is not a knave. \"Alexander is a knave if and only if Grace is a knave,\" Jackson mentioned. So who is a knight and who is a knave?", "names": ["Abigail", "Charlotte", "Alexander", "Grace", "Jackson"], "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": "Abigail is a knight, Charlotte is a knave, Alexander is a knave, Grace is a knave, and Jackson is a knight.", "solution_text_format": "(1) Abigail is a knight\n(2) Charlotte is a knave\n(3) Alexander is a knave\n(4) Grace is a knave\n(5) Jackson is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Abigail is a knight. No contradiction is found in their claim that Charlotte is not a knight.", "Charlotte cannot be a knight, because this would contradict the claim of Abigail that Charlotte is not a knight.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Grace is not a knave.", "Grace cannot be a knight, because this would contradict the false claim of Charlotte that Grace is not a knave.", "Assume Grace is a knave. No contradiction is found in their false claim that Alexander is not a knave.", "Alexander cannot be a knight, because this would contradict the claim of their own that Grace is a knight if and only if Charlotte is a knave.", "Assume Alexander is a knave. No contradiction is found in their false claim that Grace is a knight if and only if Charlotte is a knave.", "Assume Jackson is a knight. No contradiction is found in their claim that Alexander is a knave if and only if Grace is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('not', ('lying', 3)), ('<=>', ('telling-truth', 3), ('lying', 1)), ('not', ('lying', 2)), ('<=>', ('lying', 2), ('lying', 3)))", "index": 637}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Riley, Jackson, Aria, Lucas, and Liam. Riley expressed that If Aria is a knight then Jackson is a knight. Jackson said that Jackson is a knight if and only if Lucas is a knave. Aria said, \"If Jackson is a knave then Liam is a knight.\" \"Liam is a knave if and only if Lucas is a knight\" - Lucas. As Liam put it, \"Aria is not a knave\". So who is a knight and who is a knave?", "names": ["Riley", "Jackson", "Aria", "Lucas", "Liam"], "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": "Riley is a knight, Jackson is a knave, Aria is a knave, Lucas is a knave, and Liam is a knave.", "solution_text_format": "(1) Riley is a knight\n(2) Jackson is a knave\n(3) Aria is a knave\n(4) Lucas is a knave\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 Riley is a knight. No contradiction is found in their claim that If Aria is a knight then Jackson is a knight.", "Assume Aria is a knight. No contradiction is found in their claim that If Jackson is a knave then Liam is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that Jackson is a knight if and only if Lucas is a knave.", "Lucas cannot be a knight, because this would contradict the claim of Jackson that Jackson 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 Liam is a knave if and only if Lucas is a knight.", "Liam cannot be a knight, because this would contradict the false claim of Lucas that Liam is a knave if and only if Lucas is a knight.", "Liam 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 Liam and Lucas, so let us go back and reconsider Jackson.", "Jackson cannot be a knave, because this would contradict the claim of Riley that If Aria is a knight then Jackson is a knight.", "We have exhausted all possibilities for Jackson, so let us go back and reconsider Aria.", "Assume Aria is a knave. No contradiction is found in their false claim that If Jackson is a knave then Liam is a knight.", "Jackson cannot be a knight, because this would contradict the false claim of Aria that If Jackson is a knave then Liam is a knight.", "Assume Jackson is a knave. No contradiction is found in their false claim that Jackson is a knight if and only if Lucas is a knave.", "Lucas cannot be a knight, because this would contradict the false claim of Jackson that Jackson 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 Liam is a knave if and only if Lucas is a knight.", "Liam cannot be a knight, because this would contradict the false claim of Aria that If Jackson is a knave then Liam is a knight.", "Assume Liam is a knave. No contradiction is found in their false claim that Aria is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 2), ('telling-truth', 1)), ('<=>', ('telling-truth', 1), ('lying', 3)), ('->', ('lying', 1), ('telling-truth', 4)), ('<=>', ('lying', 4), ('telling-truth', 3)), ('not', ('lying', 2)))", "index": 638}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aurora, William, Sophia, Ella, and Riley. Aurora remarked, \"Riley is a knave and Ella is a knave\". William asserted: \"If Riley is a knight then William is a knight\". Sophia commented, \"William is not a knight\". Ella said, \"Sophia is a knight and Riley is a knight.\" \"Aurora is a knight if and only if Riley is a knight,\" Riley declared. So who is a knight and who is a knave?", "names": ["Aurora", "William", "Sophia", "Ella", "Riley"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false, false], "solution_text": "Aurora is a knight, William is a knight, Sophia is a knave, Ella is a knave, and Riley is a knave.", "solution_text_format": "(1) Aurora is a knight\n(2) William is a knight\n(3) Sophia is a knave\n(4) Ella 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 Aurora is a knight. No contradiction is found in their claim that Riley is a knave and Ella is a knave.", "Riley cannot be a knight, because this would contradict the claim of Aurora that Riley is a knave and Ella is a knave.", "Assume Riley is a knave. No contradiction is found in their false claim that Aurora is a knight if and only if Riley is a knight.", "Ella cannot be a knight, because this would contradict the claim of Aurora that Riley is a knave and Ella is a knave.", "Assume Ella is a knave. No contradiction is found in their false claim that Sophia is a knight and Riley is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that William is not a knight.", "William cannot be a knight, because this would contradict the claim of Sophia that William is not a knight.", "William cannot be a knave, because this would contradict the false claim of their own that If Riley is a knight then William is a knight.", "We have exhausted all possibilities for William, so let us go back and reconsider Sophia.", "Assume Sophia is a knave. No contradiction is found in their false claim that William is not a knight.", "Assume William is a knight. No contradiction is found in their claim that If Riley is a knight then William is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 4), ('lying', 3)), ('->', ('telling-truth', 4), ('telling-truth', 1)), ('not', ('telling-truth', 1)), ('and', ('telling-truth', 2), ('telling-truth', 4)), ('<=>', ('telling-truth', 0), ('telling-truth', 4)))", "index": 639}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Abigail, Jackson, Scarlett, Michael, and Emily. Abigail told you that Emily is a knight if and only if Scarlett is a knight. Jackson commented, \"Abigail is a knight and Michael is a knight\". Scarlett told you that Michael is not a knight. \"Emily is a knight if and only if Scarlett is a knight,\" Michael claimed. \"Scarlett is a knight or Emily is a knight\" - Emily. So who is a knight and who is a knave?", "names": ["Abigail", "Jackson", "Scarlett", "Michael", "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": "Abigail is a knight, Jackson is a knight, Scarlett is a knave, Michael is a knight, and Emily is a knave.", "solution_text_format": "(1) Abigail is a knight\n(2) Jackson is a knight\n(3) Scarlett is a knave\n(4) Michael 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 Abigail is a knight. No contradiction is found in their claim that Emily is a knight if and only if Scarlett is a knight.", "Assume Emily is a knight. No contradiction is found in their claim that Scarlett is a knight or Emily is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that Michael is not a knight.", "Michael cannot be a knight, because this would contradict the claim of Scarlett that Michael is not a knight.", "Michael cannot be a knave, because this would contradict the false claim of their own that Emily is a knight if and only if Scarlett is a knight.", "We have exhausted all possibilities for Michael, so let us go back and reconsider Scarlett.", "Scarlett cannot be a knave, because this would contradict the claim of Abigail that Emily is a knight if and only if Scarlett is a knight.", "We have exhausted all possibilities for Scarlett, so let us go back and reconsider Emily.", "Assume Emily is a knave. No contradiction is found in their false claim that Scarlett is a knight or Emily is a knight.", "Scarlett cannot be a knight, because this would contradict the claim of Abigail that Emily is a knight if and only if Scarlett is a knight.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Michael is not a knight.", "Assume Michael is a knight. No contradiction is found in their claim that Emily is a knight if and only if Scarlett is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that Abigail is a knight and Michael is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 4), ('telling-truth', 2)), ('and', ('telling-truth', 0), ('telling-truth', 3)), ('not', ('telling-truth', 3)), ('<=>', ('telling-truth', 4), ('telling-truth', 2)), ('or', ('telling-truth', 2), ('telling-truth', 4)))", "index": 640}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Logan, James, Sofia, Liam, and Riley. \"If Logan is a knight then James is a knight,\" Logan claimed. James commented, \"Logan is not a knave\". \"James is a knight and Logan is a knight,\" Sofia declared. Liam asserted: \"Liam is a knight or Riley is a knight\". In Riley's words: \"Liam is a knight if and only if James is a knave\". So who is a knight and who is a knave?", "names": ["Logan", "James", "Sofia", "Liam", "Riley"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, false], "solution_text": "Logan is a knight, James is a knight, Sofia is a knight, Liam is a knight, and Riley is a knave.", "solution_text_format": "(1) Logan is a knight\n(2) James is a knight\n(3) Sofia is a knight\n(4) Liam is a knight\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 Logan is a knight. No contradiction is found in their claim that If Logan is a knight then James is a knight.", "Assume James is a knight. No contradiction is found in their claim that Logan is not a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that James is a knight and Logan is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that Liam is a knight or Riley is a knight.", "Riley cannot be a knight, because this would contradict the claim of their own that Liam is a knight if and only if James is a knave.", "Assume Riley is a knave. No contradiction is found in their false claim that Liam is a knight if and only if James is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 0), ('telling-truth', 1)), ('not', ('lying', 0)), ('and', ('telling-truth', 1), ('telling-truth', 0)), ('or', ('telling-truth', 3), ('telling-truth', 4)), ('<=>', ('telling-truth', 3), ('lying', 1)))", "index": 641}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Victoria, Ethan, William, Ella, and Mia. Victoria commented, \"Mia is not a knight\". \"If William is a knave then William is a knight,\" Ethan declared. William said, \"If Mia is a knave then Mia is a knight.\" Ella said that If Victoria is a knave then Mia is a knave. Mia asserted: \"If Victoria is a knave then Ella is a knave\". So who is a knight and who is a knave?", "names": ["Victoria", "Ethan", "William", "Ella", "Mia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false, true], "solution_text": "Victoria is a knave, Ethan is a knight, William is a knight, Ella is a knave, and Mia is a knight.", "solution_text_format": "(1) Victoria is a knave\n(2) Ethan is a knight\n(3) William is a knight\n(4) Ella 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 Victoria is a knight. No contradiction is found in their claim that Mia is not a knight.", "Mia cannot be a knight, because this would contradict the claim of Victoria that Mia is not a knight.", "Mia cannot be a knave, because this would contradict the false claim of their own that If Victoria is a knave then Ella is a knave.", "We have exhausted all possibilities for Mia, so let us go back and reconsider Victoria.", "Assume Victoria is a knave. No contradiction is found in their false claim that Mia is not a knight.", "Assume Mia is a knight. No contradiction is found in their claim that If Victoria is a knave then Ella is a knave.", "Ella cannot be a knight, because this would contradict the claim of their own that If Victoria is a knave then Mia is a knave.", "Assume Ella is a knave. No contradiction is found in their false claim that If Victoria is a knave then Mia is a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that If William is a knave then William is a knight.", "Assume William is a knight. No contradiction is found in their claim that If Mia is a knave then Mia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 4)), ('->', ('lying', 2), ('telling-truth', 2)), ('->', ('lying', 4), ('telling-truth', 4)), ('->', ('lying', 0), ('lying', 4)), ('->', ('lying', 0), ('lying', 3)))", "index": 642}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Michael, Mason, Ethan, Amelia, and Jacob. As Michael put it, \"Mason is not a knight\". In a statement by Mason: \"Ethan is a knight if and only if Jacob is a knight\". According to Ethan, \"Mason is a knight if and only if Ethan is a knight\". According to Amelia, \"If Ethan is a knight then Mason is a knight\". Jacob commented, \"Ethan is a knight if and only if Jacob is a knight\". So who is a knight and who is a knave?", "names": ["Michael", "Mason", "Ethan", "Amelia", "Jacob"], "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": "Michael is a knave, Mason is a knight, Ethan is a knight, Amelia is a knight, and Jacob is a knight.", "solution_text_format": "(1) Michael is a knave\n(2) Mason is a knight\n(3) Ethan is a knight\n(4) Amelia 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 Michael is a knight. No contradiction is found in their claim that Mason is not a knight.", "Mason cannot be a knight, because this would contradict the claim of Michael that Mason is not a knight.", "Assume Mason is a knave. No contradiction is found in their false claim that Ethan is a knight if and only if Jacob is a knight.", "Ethan cannot be a knight, because this would contradict the claim of their own that Mason is a knight if and only if Ethan is a knight.", "Ethan cannot be a knave, because this would contradict the false claim of their own that Mason is a knight if and only if Ethan is a knight.", "We have exhausted all possibilities for Ethan and Mason, so let us go back and reconsider Michael.", "Assume Michael is a knave. No contradiction is found in their false claim that Mason is not a knight.", "Assume Mason is a knight. No contradiction is found in their claim that Ethan is a knight if and only if Jacob is a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that Mason is a knight if and only if Ethan is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that Ethan is a knight if and only if Jacob is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that If Ethan is a knight then Mason is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('<=>', ('telling-truth', 2), ('telling-truth', 4)), ('<=>', ('telling-truth', 1), ('telling-truth', 2)), ('->', ('telling-truth', 2), ('telling-truth', 1)), ('<=>', ('telling-truth', 2), ('telling-truth', 4)))", "index": 643}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Scarlett, Oliver, Lily, Joseph, and Logan. \"Lily is a knave,\" Scarlett mentioned. \"Scarlett is not a knight,\" Oliver declared. Lily noted, \"If Logan is a knave then Logan is a knight\". Joseph asserted: \"If Oliver is a knave then Oliver is a knight\". \"Lily is a knave and Joseph is a knight,\" Logan mentioned. So who is a knight and who is a knave?", "names": ["Scarlett", "Oliver", "Lily", "Joseph", "Logan"], "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": "Scarlett is a knight, Oliver is a knave, Lily is a knave, Joseph is a knave, and Logan is a knave.", "solution_text_format": "(1) Scarlett is a knight\n(2) Oliver is a knave\n(3) Lily is a knave\n(4) Joseph is a knave\n(5) Logan is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Scarlett is a knight. No contradiction is found in their claim that Lily is a knave.", "Lily cannot be a knight, because this would contradict the claim of Scarlett that Lily is a knave.", "Assume Lily is a knave. No contradiction is found in their false claim that If Logan is a knave then Logan is a knight.", "Logan cannot be a knight, because this would contradict the false claim of Lily that If Logan is a knave then Logan is a knight.", "Assume Logan is a knave. No contradiction is found in their false claim that Lily is a knave and Joseph is a knight.", "Joseph cannot be a knight, because this would contradict the false claim of Logan that Lily is a knave and Joseph is a knight.", "Assume Joseph is a knave. No contradiction is found in their false claim that If Oliver is a knave then Oliver is a knight.", "Oliver cannot be a knight, because this would contradict the claim of their own that Scarlett is not a knight.", "Assume Oliver is a knave. No contradiction is found in their false claim that Scarlett is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 2), ('not', ('telling-truth', 0)), ('->', ('lying', 4), ('telling-truth', 4)), ('->', ('lying', 1), ('telling-truth', 1)), ('and', ('lying', 2), ('telling-truth', 3)))", "index": 644}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Zoey, Benjamin, Daniel, Jack, and Alexander. As Zoey put it, \"Benjamin is a knave and Jack is a knight\". In Benjamin's words: \"Zoey is a knight or Jack is a knave\". Daniel expressed that Benjamin is a knave if and only if Benjamin is a knight. Jack told you that Zoey is a knight and Benjamin is a knight. Alexander asserted: \"Zoey is a knight\". So who is a knight and who is a knave?", "names": ["Zoey", "Benjamin", "Daniel", "Jack", "Alexander"], "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": "Zoey is a knave, Benjamin is a knight, Daniel is a knave, Jack is a knave, and Alexander is a knave.", "solution_text_format": "(1) Zoey is a knave\n(2) Benjamin is a knight\n(3) Daniel is a knave\n(4) Jack 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 Zoey is a knight. No contradiction is found in their claim that Benjamin is a knave and Jack is a knight.", "Benjamin cannot be a knight, because this would contradict the claim of Zoey that Benjamin is a knave and Jack is a knight.", "Benjamin cannot be a knave, because this would contradict the false claim of their own that Zoey is a knight or Jack is a knave.", "We have exhausted all possibilities for Benjamin, so let us go back and reconsider Zoey.", "Assume Zoey is a knave. No contradiction is found in their false claim that Benjamin is a knave and Jack is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that Zoey is a knight or Jack is a knave.", "Jack cannot be a knight, because this would contradict the claim of Benjamin that Zoey is a knight or Jack is a knave.", "Assume Jack is a knave. No contradiction is found in their false claim that Zoey is a knight and Benjamin is a knight.", "Daniel cannot be a knight, because this would contradict the claim of their own that Benjamin is a knave if and only if Benjamin is a knight.", "Assume Daniel is a knave. No contradiction is found in their false claim that Benjamin is a knave if and only if Benjamin is a knight.", "Alexander cannot be a knight, because this would contradict the claim of their own that Zoey is a knight.", "Assume Alexander is a knave. No contradiction is found in their false claim that Zoey is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('telling-truth', 3)), ('or', ('telling-truth', 0), ('lying', 3)), ('<=>', ('lying', 1), ('telling-truth', 1)), ('and', ('telling-truth', 0), ('telling-truth', 1)), ('telling-truth', 0))", "index": 645}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Harper, Zoey, Aurora, Grace, and Sophia. Harper expressed that Harper is a knight if and only if Aurora is a knave. Zoey was heard saying, \"Harper is a knave or Sophia is a knight\". In Aurora's words: \"If Sophia is a knight then Grace is a knave\". Grace stated, \"Harper is not a knight\". In Sophia's words: \"Harper is not a knight\". So who is a knight and who is a knave?", "names": ["Harper", "Zoey", "Aurora", "Grace", "Sophia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true, true], "solution_text": "Harper is a knave, Zoey is a knight, Aurora is a knave, Grace is a knight, and Sophia is a knight.", "solution_text_format": "(1) Harper is a knave\n(2) Zoey is a knight\n(3) Aurora is a knave\n(4) Grace is a knight\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 Harper is a knight. No contradiction is found in their claim that Harper is a knight if and only if Aurora is a knave.", "Aurora cannot be a knight, because this would contradict the claim of Harper that Harper is a knight if and only if Aurora is a knave.", "Assume Aurora is a knave. No contradiction is found in their false claim that If Sophia is a knight then Grace is a knave.", "Sophia cannot be a knight, because this would contradict the claim of their own that Harper is not a knight.", "Sophia cannot be a knave, because this would contradict the false claim of Aurora that If Sophia is a knight then Grace is a knave.", "We have exhausted all possibilities for Sophia and Aurora, so let us go back and reconsider Harper.", "Assume Harper is a knave. No contradiction is found in their false claim that Harper is a knight if and only if Aurora is a knave.", "Aurora cannot be a knight, because this would contradict the false claim of Harper that Harper is a knight if and only if Aurora is a knave.", "Assume Aurora is a knave. No contradiction is found in their false claim that If Sophia is a knight then Grace is a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that Harper is not a knight.", "Assume Grace is a knight. No contradiction is found in their claim that Harper is not a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that Harper is a knave or Sophia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 0), ('lying', 2)), ('or', ('lying', 0), ('telling-truth', 4)), ('->', ('telling-truth', 4), ('lying', 3)), ('not', ('telling-truth', 0)), ('not', ('telling-truth', 0)))", "index": 646}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aiden, Benjamin, Emma, Lily, and Penelope. As Aiden put it, \"Emma is a knight and Lily is a knave\". \"Aiden is a knave or Penelope is a knight,\" Benjamin claimed. Emma told you that Penelope is a knave and Penelope is a knight. Lily remarked, \"Emma is a knight\". Penelope commented, \"Benjamin is a knave if and only if Lily is a knight\". So who is a knight and who is a knave?", "names": ["Aiden", "Benjamin", "Emma", "Lily", "Penelope"], "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": "Aiden is a knave, Benjamin is a knight, Emma is a knave, Lily is a knave, and Penelope is a knight.", "solution_text_format": "(1) Aiden is a knave\n(2) Benjamin is a knight\n(3) Emma is a knave\n(4) Lily is a knave\n(5) Penelope is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aiden is a knight. No contradiction is found in their claim that Emma is a knight and Lily is a knave.", "Emma cannot be a knight, because this would contradict the claim of their own that Penelope is a knave and Penelope is a knight.", "Emma cannot be a knave, because this would contradict the claim of Aiden that Emma is a knight and Lily is a knave.", "We have exhausted all possibilities for Emma, so let us go back and reconsider Aiden.", "Assume Aiden is a knave. No contradiction is found in their false claim that Emma is a knight and Lily is a knave.", "Emma cannot be a knight, because this would contradict the claim of their own that Penelope is a knave and Penelope is a knight.", "Assume Emma is a knave. No contradiction is found in their false claim that Penelope is a knave and Penelope is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that Benjamin is a knave if and only if Lily is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that Aiden is a knave or Penelope is a knight.", "Lily cannot be a knight, because this would contradict the claim of their own that Emma is a knight.", "Assume Lily is a knave. No contradiction is found in their false claim that Emma is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 2), ('lying', 3)), ('or', ('lying', 0), ('telling-truth', 4)), ('and', ('lying', 4), ('telling-truth', 4)), ('telling-truth', 2), ('<=>', ('lying', 1), ('telling-truth', 3)))", "index": 647}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Victoria, Owen, Evelyn, Elizabeth, and James. Victoria said that Evelyn is a knave and Evelyn is a knight. According to Owen, \"Owen is a knight and Evelyn is a knight\". \"Elizabeth is a knave or Owen is a knave,\" Evelyn claimed. \"Evelyn is a knave or Evelyn is a knight,\" Elizabeth claimed. James noted, \"Evelyn is not a knight\". So who is a knight and who is a knave?", "names": ["Victoria", "Owen", "Evelyn", "Elizabeth", "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": "Victoria is a knave, Owen is a knave, Evelyn is a knight, Elizabeth is a knight, and James is a knave.", "solution_text_format": "(1) Victoria is a knave\n(2) Owen is a knave\n(3) Evelyn is a knight\n(4) Elizabeth 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": ["Victoria cannot be a knight, because this would contradict the claim of their own that Evelyn is a knave and Evelyn is a knight.", "Assume Victoria is a knave. No contradiction is found in their false claim that Evelyn is a knave and Evelyn is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that Elizabeth is a knave or Owen is a knave.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Evelyn is a knave or Evelyn is a knight.", "Owen cannot be a knight, because this would contradict the claim of Evelyn that Elizabeth is a knave or Owen is a knave.", "Assume Owen is a knave. No contradiction is found in their false claim that Owen is a knight and 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": "(('and', ('lying', 2), ('telling-truth', 2)), ('and', ('telling-truth', 1), ('telling-truth', 2)), ('or', ('lying', 3), ('lying', 1)), ('or', ('lying', 2), ('telling-truth', 2)), ('not', ('telling-truth', 2)))", "index": 648}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aurora, Abigail, Mason, Alexander, and Lily. Aurora commented, \"Abigail is a knave and Mason is a knave\". \"Mason is a knight if and only if Alexander is a knight\" - Abigail. In Mason's words: \"Abigail is a knave if and only if Lily is a knight\". Alexander told you that Mason is a knight. According to Lily, \"Aurora is a knight and Lily is a knight\". So who is a knight and who is a knave?", "names": ["Aurora", "Abigail", "Mason", "Alexander", "Lily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, false], "solution_text": "Aurora is a knave, Abigail is a knight, Mason is a knight, Alexander is a knight, and Lily is a knave.", "solution_text_format": "(1) Aurora is a knave\n(2) Abigail is a knight\n(3) Mason is a knight\n(4) Alexander 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 Aurora is a knight. No contradiction is found in their claim that Abigail is a knave and Mason is a knave.", "Abigail cannot be a knight, because this would contradict the claim of Aurora that Abigail is a knave and Mason is a knave.", "Assume Abigail is a knave. No contradiction is found in their false claim that Mason is a knight if and only if Alexander is a knight.", "Mason cannot be a knight, because this would contradict the claim of Aurora that Abigail is a knave and Mason is a knave.", "Assume Mason is a knave. No contradiction is found in their false claim that Abigail is a knave if and only if Lily is a knight.", "Lily cannot be a knight, because this would contradict the false claim of Mason that Abigail 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 Aurora is a knight and Lily is a knight.", "Alexander cannot be a knight, because this would contradict the claim of their own that Mason is a knight.", "Alexander cannot be a knave, because this would contradict the false claim of Abigail that Mason is a knight if and only if Alexander is a knight.", "We have exhausted all possibilities for Alexander, Lily, Mason, and Abigail, so let us go back and reconsider Aurora.", "Assume Aurora is a knave. No contradiction is found in their false claim that Abigail is a knave and Mason is a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that Mason is a knight if and only if Alexander is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that Abigail is a knave if and only if Lily is a knight.", "Lily cannot be a knight, because this would contradict the claim of Mason that Abigail 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 Aurora is a knight and Lily is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that Mason is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('lying', 2)), ('<=>', ('telling-truth', 2), ('telling-truth', 3)), ('<=>', ('lying', 1), ('telling-truth', 4)), ('telling-truth', 2), ('and', ('telling-truth', 0), ('telling-truth', 4)))", "index": 649}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Samuel, Isabella, Lily, Lucas, and Noah. \"Isabella is a knave if and only if Lucas is a knave,\" Samuel mentioned. Isabella commented, \"If Noah is a knight then Noah is a knave\". Lily told you that Samuel is a knight or Noah is a knight. Lucas said that Noah is a knave or Samuel is a knight. Noah expressed that If Lucas is a knight then Isabella is a knave. So who is a knight and who is a knave?", "names": ["Samuel", "Isabella", "Lily", "Lucas", "Noah"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, false], "solution_text": "Samuel is a knight, Isabella is a knight, Lily is a knight, Lucas is a knight, and Noah is a knave.", "solution_text_format": "(1) Samuel is a knight\n(2) Isabella is a knight\n(3) Lily is a knight\n(4) Lucas is a knight\n(5) Noah is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Samuel is a knight. No contradiction is found in their claim that Isabella is a knave if and only if Lucas is a knave.", "Assume Isabella is a knight. No contradiction is found in their claim that If Noah is a knight then Noah is a knave.", "Noah cannot be a knight, because this would contradict the claim of Isabella that If Noah is a knight then Noah is a knave.", "Assume Noah is a knave. No contradiction is found in their false claim that If Lucas is a knight then Isabella is a knave.", "Assume Lucas is a knight. No contradiction is found in their claim that Noah is a knave or Samuel is a knight.", "Assume Lily is a knight. No contradiction is found in their claim that Samuel is a knight or Noah is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('lying', 3)), ('->', ('telling-truth', 4), ('lying', 4)), ('or', ('telling-truth', 0), ('telling-truth', 4)), ('or', ('lying', 4), ('telling-truth', 0)), ('->', ('telling-truth', 3), ('lying', 1)))", "index": 650}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Logan, Daniel, William, Samuel, and Sebastian. \"Samuel is a knight and Daniel is a knight,\" Logan claimed. \"If William is a knight then Samuel is a knight,\" Daniel declared. \"Sebastian is a knave if and only if Logan is a knave,\" William mentioned. Samuel stated, \"Daniel is a knight or Sebastian is a knave\". Sebastian said, \"If Daniel is a knight then Logan is a knight.\" So who is a knight and who is a knave?", "names": ["Logan", "Daniel", "William", "Samuel", "Sebastian"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, true], "solution_text": "Logan is a knight, Daniel is a knight, William is a knight, Samuel is a knight, and Sebastian is a knight.", "solution_text_format": "(1) Logan is a knight\n(2) Daniel is a knight\n(3) William is a knight\n(4) Samuel is a knight\n(5) Sebastian is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Logan is a knight. No contradiction is found in their claim that Samuel is a knight and Daniel is a knight.", "Assume Samuel is a knight. No contradiction is found in their claim that Daniel is a knight or Sebastian is a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that If William is a knight then Samuel is a knight.", "Assume William is a knight. No contradiction is found in their claim that Sebastian is a knave if and only if Logan is a knave.", "Assume Sebastian is a knight. No contradiction is found in their claim that If Daniel is a knight then Logan is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 3), ('telling-truth', 1)), ('->', ('telling-truth', 2), ('telling-truth', 3)), ('<=>', ('lying', 4), ('lying', 0)), ('or', ('telling-truth', 1), ('lying', 4)), ('->', ('telling-truth', 1), ('telling-truth', 0)))", "index": 651}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Olivia, Sophia, Mason, Harper, and Jackson. Olivia told you that Jackson is not a knave. \"Mason is a knight and Harper is a knight,\" Sophia mentioned. Mason noted, \"Olivia is not a knave\". \"Mason is a knight,\" Harper claimed. Jackson was heard saying, \"Sophia is a knight and Olivia is a knave\". So who is a knight and who is a knave?", "names": ["Olivia", "Sophia", "Mason", "Harper", "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": "Olivia is a knave, Sophia is a knave, Mason is a knave, Harper is a knave, and Jackson is a knave.", "solution_text_format": "(1) Olivia is a knave\n(2) Sophia is a knave\n(3) Mason is a knave\n(4) Harper 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 Olivia is a knight. No contradiction is found in their claim that Jackson is not a knave.", "Jackson cannot be a knight, because this would contradict the claim of their own that Sophia is a knight and Olivia is a knave.", "Jackson cannot be a knave, because this would contradict the claim of Olivia that Jackson is not a knave.", "We have exhausted all possibilities for Jackson, so let us go back and reconsider Olivia.", "Assume Olivia is a knave. No contradiction is found in their false claim that Jackson is not a knave.", "Jackson cannot be a knight, because this would contradict the false claim of Olivia that Jackson is not a knave.", "Assume Jackson is a knave. No contradiction is found in their false claim that Sophia is a knight and Olivia is a knave.", "Sophia cannot be a knight, because this would contradict the false claim of Jackson that Sophia is a knight and Olivia is a knave.", "Assume Sophia is a knave. No contradiction is found in their false claim that Mason is a knight and Harper is a knight.", "Mason cannot be a knight, because this would contradict the claim of their own that Olivia is not a knave.", "Assume Mason is a knave. No contradiction is found in their false claim that Olivia is not a knave.", "Harper cannot be a knight, because this would contradict the claim of their own that Mason is a knight.", "Assume Harper is a knave. No contradiction is found in their false claim that Mason is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 4)), ('and', ('telling-truth', 2), ('telling-truth', 3)), ('not', ('lying', 0)), ('telling-truth', 2), ('and', ('telling-truth', 1), ('lying', 0)))", "index": 652}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Oliver, Chloe, Grace, Scarlett, and Michael. Oliver remarked, \"Chloe is not a knight\". Chloe stated, \"Grace is not a knight\". \"Chloe is a knave and Michael is a knight\" - Grace. Scarlett asserted: \"Michael is a knight\". \"If Scarlett is a knight then Grace is a knight\" - Michael. So who is a knight and who is a knave?", "names": ["Oliver", "Chloe", "Grace", "Scarlett", "Michael"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, true], "solution_text": "Oliver is a knight, Chloe is a knave, Grace is a knight, Scarlett is a knight, and Michael is a knight.", "solution_text_format": "(1) Oliver is a knight\n(2) Chloe is a knave\n(3) Grace is a knight\n(4) Scarlett is a knight\n(5) Michael is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Oliver is a knight. No contradiction is found in their claim that Chloe is not a knight.", "Chloe cannot be a knight, because this would contradict the claim of Oliver that Chloe is not a knight.", "Assume Chloe 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 Chloe is a knave and Michael is a knight.", "Assume Michael is a knight. No contradiction is found in their claim that If Scarlett is a knight then Grace is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that Michael is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('not', ('telling-truth', 2)), ('and', ('lying', 1), ('telling-truth', 4)), ('telling-truth', 4), ('->', ('telling-truth', 3), ('telling-truth', 2)))", "index": 653}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Samuel, Elizabeth, Emma, Grace, and Lucas. Samuel was heard saying, \"If Lucas is a knave then Samuel is a knight\". \"Grace is a knave and Emma is a knight,\" Elizabeth claimed. Emma expressed that If Emma is a knight then Grace is a knave. Grace commented, \"Grace is a knight and Emma is a knave\". Lucas stated, \"Grace is a knave\". So who is a knight and who is a knave?", "names": ["Samuel", "Elizabeth", "Emma", "Grace", "Lucas"], "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": "Samuel is a knight, Elizabeth is a knight, Emma is a knight, Grace is a knave, and Lucas is a knight.", "solution_text_format": "(1) Samuel is a knight\n(2) Elizabeth is a knight\n(3) Emma is a knight\n(4) Grace 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 Samuel is a knight. No contradiction is found in their claim that If Lucas is a knave then Samuel is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that Grace is a knave.", "Grace cannot be a knight, because this would contradict the claim of Lucas that Grace is a knave.", "Assume Grace is a knave. No contradiction is found in their false claim that Grace is a knight and Emma is a knave.", "Assume Emma is a knight. No contradiction is found in their claim that If Emma is a knight then Grace is a knave.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Grace is a knave and Emma is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 4), ('telling-truth', 0)), ('and', ('lying', 3), ('telling-truth', 2)), ('->', ('telling-truth', 2), ('lying', 3)), ('and', ('telling-truth', 3), ('lying', 2)), ('lying', 3))", "index": 654}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Grace, Penelope, Jack, James, and Riley. \"Jack is a knave,\" Grace declared. Penelope commented, \"James is a knight or Riley is a knight\". Jack was heard saying, \"Grace is a knave if and only if Riley is a knight\". \"Jack is a knave and Riley is a knight,\" James mentioned. \"James is not a knave,\" Riley claimed. So who is a knight and who is a knave?", "names": ["Grace", "Penelope", "Jack", "James", "Riley"], "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": "Grace is a knight, Penelope is a knight, Jack is a knave, James is a knight, and Riley is a knight.", "solution_text_format": "(1) Grace is a knight\n(2) Penelope is a knight\n(3) Jack is a knave\n(4) James 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 Grace is a knight. No contradiction is found in their claim that Jack is a knave.", "Jack cannot be a knight, because this would contradict the claim of Grace that Jack is a knave.", "Assume Jack is a knave. No contradiction is found in their false claim that Grace is a knave if and only if Riley is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that James is not a knave.", "Assume James is a knight. No contradiction is found in their claim that Jack is a knave and Riley is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that James is a knight or Riley is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 2), ('or', ('telling-truth', 3), ('telling-truth', 4)), ('<=>', ('lying', 0), ('telling-truth', 4)), ('and', ('lying', 2), ('telling-truth', 4)), ('not', ('lying', 3)))", "index": 655}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Emma, William, Luke, Ella, and Penelope. Emma was heard saying, \"Ella is a knight or William is a knave\". William stated, \"Penelope is not a knight\". Luke asserted: \"Ella is a knight if and only if Ella is a knave\". \"Penelope is a knight if and only if William is a knight\" - Ella. Penelope told you that William is a knave or Ella is a knave. So who is a knight and who is a knave?", "names": ["Emma", "William", "Luke", "Ella", "Penelope"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false, true], "solution_text": "Emma is a knight, William is a knave, Luke is a knave, Ella is a knave, and Penelope is a knight.", "solution_text_format": "(1) Emma is a knight\n(2) William is a knave\n(3) Luke is a knave\n(4) Ella is a knave\n(5) Penelope is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Emma is a knight. No contradiction is found in their claim that Ella is a knight or William is a knave.", "Assume Ella is a knight. No contradiction is found in their claim that Penelope is a knight if and only if William is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that William is a knave or Ella is a knave.", "William cannot be a knight, because this would contradict the claim of their own that Penelope is not a knight.", "William cannot be a knave, because this would contradict the claim of Ella that Penelope is a knight if and only if William is a knight.", "We have exhausted all possibilities for William, so let us go back and reconsider Penelope.", "Assume Penelope is a knave. No contradiction is found in their false claim that William is a knave or Ella is a knave.", "William cannot be a knight, because this would contradict the claim of Ella that Penelope is a knight if and only if William is a knight.", "William cannot be a knave, because this would contradict the false claim of their own that Penelope is not a knight.", "We have exhausted all possibilities for William and Penelope, so let us go back and reconsider Ella.", "Assume Ella is a knave. No contradiction is found in their false claim that Penelope is a knight if and only if William is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that William is a knave or Ella is a knave.", "William cannot be a knight, because this would contradict the claim of Emma that Ella is a knight or William is a knave.", "Assume William is a knave. No contradiction is found in their false claim that Penelope is not a knight.", "Luke cannot be a knight, because this would contradict the claim of their own that Ella is a knight if and only if Ella is a knave.", "Assume Luke is a knave. No contradiction is found in their false claim that Ella is a knight if and only if Ella is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 3), ('lying', 1)), ('not', ('telling-truth', 4)), ('<=>', ('telling-truth', 3), ('lying', 3)), ('<=>', ('telling-truth', 4), ('telling-truth', 1)), ('or', ('lying', 1), ('lying', 3)))", "index": 656}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Samuel, Harper, Noah, Jackson, and Olivia. \"Noah is not a knave,\" Samuel claimed. Harper stated, \"Olivia is a knave\". Noah remarked, \"Olivia is a knight if and only if Noah is a knight\". Jackson commented, \"Noah is a knave and Olivia is a knave\". In a statement by Olivia: \"If Samuel is a knight then Samuel is a knave\". So who is a knight and who is a knave?", "names": ["Samuel", "Harper", "Noah", "Jackson", "Olivia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, false, true], "solution_text": "Samuel is a knave, Harper is a knave, Noah is a knave, Jackson is a knave, and Olivia is a knight.", "solution_text_format": "(1) Samuel is a knave\n(2) Harper is a knave\n(3) Noah is a knave\n(4) Jackson is a knave\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 Samuel is a knight. No contradiction is found in their claim that Noah is not a knave.", "Assume Noah is a knight. No contradiction is found in their claim that Olivia is a knight if and only if Noah is a knight.", "Olivia cannot be a knight, because this would contradict the claim of their own that If Samuel is a knight then Samuel is a knave.", "Olivia cannot be a knave, because this would contradict the claim of Noah that Olivia is a knight if and only if Noah is a knight.", "We have exhausted all possibilities for Olivia, so let us go back and reconsider Noah.", "Noah cannot be a knave, because this would contradict the claim of Samuel that Noah is not a knave.", "We have exhausted all possibilities for Noah, so let us go back and reconsider Samuel.", "Assume Samuel is a knave. No contradiction is found in their false claim that Noah is not a knave.", "Noah cannot be a knight, because this would contradict the false claim of Samuel that Noah is not a knave.", "Assume Noah is a knave. No contradiction is found in their false claim that Olivia is a knight if and only if Noah is a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that If Samuel is a knight then Samuel is a knave.", "Harper cannot be a knight, because this would contradict the claim of their own that Olivia is a knave.", "Assume Harper is a knave. No contradiction is found in their false claim that Olivia is a knave.", "Jackson cannot be a knight, because this would contradict the claim of their own that Noah is a knave and Olivia is a knave.", "Assume Jackson is a knave. No contradiction is found in their false claim that Noah is a knave and Olivia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 2)), ('lying', 4), ('<=>', ('telling-truth', 4), ('telling-truth', 2)), ('and', ('lying', 2), ('lying', 4)), ('->', ('telling-truth', 0), ('lying', 0)))", "index": 657}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Oliver, Sofia, Alexander, Jacob, and Harper. Oliver remarked, \"If Alexander is a knight then Alexander is a knave\". \"Harper is a knight if and only if Harper is a knave\" - Sofia. In Alexander's words: \"Oliver is a knave and Harper is a knave\". \"Harper is not a knave\" - Jacob. According to Harper, \"If Oliver is a knight then Alexander is a knave\". So who is a knight and who is a knave?", "names": ["Oliver", "Sofia", "Alexander", "Jacob", "Harper"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, true], "solution_text": "Oliver is a knight, Sofia is a knave, Alexander is a knave, Jacob is a knight, and Harper is a knight.", "solution_text_format": "(1) Oliver is a knight\n(2) Sofia is a knave\n(3) Alexander is a knave\n(4) Jacob 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 Oliver is a knight. No contradiction is found in their claim that If Alexander is a knight then Alexander is a knave.", "Alexander cannot be a knight, because this would contradict the claim of Oliver that If Alexander is a knight then Alexander is a knave.", "Assume Alexander is a knave. No contradiction is found in their false claim that Oliver is a knave and Harper is a knave.", "Assume Harper is a knight. No contradiction is found in their claim that If Oliver is a knight then Alexander is a knave.", "Sofia cannot be a knight, because this would contradict the claim of their own that Harper is a knight if and only if Harper is a knave.", "Assume Sofia is a knave. No contradiction is found in their false claim that Harper is a knight if and only if Harper is a knave.", "Assume Jacob is a knight. No contradiction is found in their claim that Harper is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 2), ('lying', 2)), ('<=>', ('telling-truth', 4), ('lying', 4)), ('and', ('lying', 0), ('lying', 4)), ('not', ('lying', 4)), ('->', ('telling-truth', 0), ('lying', 2)))", "index": 658}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Sofia, Emma, Aiden, Michael, and Chloe. Sofia stated, \"Emma is a knight\". Emma said, \"Aiden is a knight and Sofia is a knight.\" In a statement by Aiden: \"Emma is a knight and Sofia is a knave\". In a statement by Michael: \"Sofia is a knight if and only if Aiden is a knight\". Chloe was heard saying, \"Aiden is a knave or Sofia is a knight\". So who is a knight and who is a knave?", "names": ["Sofia", "Emma", "Aiden", "Michael", "Chloe"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true, true], "solution_text": "Sofia is a knave, Emma is a knave, Aiden is a knave, Michael is a knight, and Chloe is a knight.", "solution_text_format": "(1) Sofia is a knave\n(2) Emma is a knave\n(3) Aiden is a knave\n(4) Michael is a knight\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 Sofia 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 Aiden is a knight and Sofia is a knight.", "Aiden cannot be a knight, because this would contradict the claim of their own that Emma is a knight and Sofia is a knave.", "Aiden cannot be a knave, because this would contradict the claim of Emma that Aiden is a knight and Sofia is a knight.", "We have exhausted all possibilities for Aiden, so let us go back and reconsider Emma.", "Emma cannot be a knave, because this would contradict the claim of Sofia that Emma is a knight.", "We have exhausted all possibilities for Emma, so let us go back and reconsider Sofia.", "Assume Sofia is a knave. No contradiction is found in their false claim that Emma is a knight.", "Emma cannot be a knight, because this would contradict the false claim of Sofia that Emma is a knight.", "Assume Emma is a knave. No contradiction is found in their false claim that Aiden is a knight and Sofia is a knight.", "Aiden cannot be a knight, because this would contradict the claim of their own that Emma is a knight and Sofia is a knave.", "Assume Aiden is a knave. No contradiction is found in their false claim that Emma is a knight and Sofia is a knave.", "Assume Michael is a knight. No contradiction is found in their claim that Sofia is a knight if and only if Aiden is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that Aiden is a knave or Sofia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 1), ('and', ('telling-truth', 2), ('telling-truth', 0)), ('and', ('telling-truth', 1), ('lying', 0)), ('<=>', ('telling-truth', 0), ('telling-truth', 2)), ('or', ('lying', 2), ('telling-truth', 0)))", "index": 659}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Jack, Grace, Daniel, Ava, and Evelyn. Jack was heard saying, \"Daniel is a knave or Daniel is a knight\". \"Evelyn is a knave if and only if Evelyn is a knight\" - Grace. Daniel commented, \"If Ava is a knave then Jack is a knave\". As Ava put it, \"Evelyn is a knight\". Evelyn told you that Grace is a knave or Jack is a knave. So who is a knight and who is a knave?", "names": ["Jack", "Grace", "Daniel", "Ava", "Evelyn"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, true], "solution_text": "Jack is a knight, Grace is a knave, Daniel is a knight, Ava is a knight, and Evelyn is a knight.", "solution_text_format": "(1) Jack is a knight\n(2) Grace is a knave\n(3) Daniel is a knight\n(4) Ava is a knight\n(5) Evelyn is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jack is a knight. No contradiction is found in their claim that Daniel is a knave or Daniel is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that If Ava is a knave then Jack is a knave.", "Assume Ava is a knight. No contradiction is found in their claim that Evelyn is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that Grace is a knave or Jack is a knave.", "Grace cannot be a knight, because this would contradict the claim of their own that Evelyn is a knave if and only if Evelyn is a knight.", "Assume Grace is a knave. No contradiction is found in their false claim that Evelyn is a knave if and only if Evelyn is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 2), ('telling-truth', 2)), ('<=>', ('lying', 4), ('telling-truth', 4)), ('->', ('lying', 3), ('lying', 0)), ('telling-truth', 4), ('or', ('lying', 1), ('lying', 0)))", "index": 660}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aurora, Jack, Sofia, Victoria, and Harper. Aurora stated, \"If Jack is a knave then Sofia is a knave\". Jack said that Victoria is not a knight. Sofia stated, \"Harper is a knight if and only if Aurora is a knave\". Victoria said, \"Aurora is a knave or Jack is a knave.\" In Harper's words: \"Aurora is a knave if and only if Harper is a knight\". So who is a knight and who is a knave?", "names": ["Aurora", "Jack", "Sofia", "Victoria", "Harper"], "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": "Aurora is a knave, Jack is a knave, Sofia is a knight, Victoria is a knight, and Harper is a knight.", "solution_text_format": "(1) Aurora is a knave\n(2) Jack is a knave\n(3) Sofia is a knight\n(4) Victoria 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 Aurora is a knight. No contradiction is found in their claim that If Jack is a knave then Sofia is a knave.", "Assume Jack is a knight. No contradiction is found in their claim that Victoria is not a knight.", "Victoria cannot be a knight, because this would contradict the claim of Jack that Victoria is not a knight.", "Assume Victoria is a knave. No contradiction is found in their false claim that Aurora is a knave or Jack is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that Harper is a knight if and only if Aurora is a knave.", "Harper cannot be a knight, because this would contradict the claim of Sofia that Harper is a knight if and only if Aurora is a knave.", "Harper cannot be a knave, because this would contradict the false claim of their own that Aurora is a knave if and only if Harper is a knight.", "We have exhausted all possibilities for Harper, so let us go back and reconsider Sofia.", "Assume Sofia is a knave. No contradiction is found in their false claim that Harper is a knight if and only if Aurora is a knave.", "Harper cannot be a knight, because this would contradict the claim of their own that Aurora is a knave if and only if Harper is a knight.", "Harper cannot be a knave, because this would contradict the false claim of Sofia that Harper is a knight if and only if Aurora is a knave.", "We have exhausted all possibilities for Harper, Sofia, and Victoria, so let us go back and reconsider Jack.", "Assume Jack is a knave. No contradiction is found in their false claim that Victoria is not a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that Aurora is a knave or Jack is a knave.", "Sofia cannot be a knight, because this would contradict the claim of Aurora that If Jack is a knave then Sofia is a knave.", "Assume Sofia is a knave. No contradiction is found in their false claim that Harper is a knight if and only if Aurora is a knave.", "Harper cannot be a knight, because this would contradict the claim of their own that Aurora is a knave if and only if Harper is a knight.", "Harper cannot be a knave, because this would contradict the false claim of Sofia that Harper is a knight if and only if Aurora is a knave.", "We have exhausted all possibilities for Harper and Sofia, so let us go back and reconsider Victoria.", "Victoria cannot be a knave, because this would contradict the false claim of Jack that Victoria is not a knight.", "We have exhausted all possibilities for Victoria and Jack, so let us go back and reconsider Aurora.", "Assume Aurora is a knave. No contradiction is found in their false claim that If Jack is a knave then Sofia is a knave.", "Jack cannot be a knight, because this would contradict the false claim of Aurora that If Jack is a knave then Sofia is a knave.", "Assume Jack is a knave. No contradiction is found in their false claim that Victoria is not a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that Aurora is a knave or Jack is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that Harper is a knight if and only if Aurora is a knave.", "Assume Harper is a knight. No contradiction is found in their claim that Aurora is a knave if and only if Harper is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 1), ('lying', 2)), ('not', ('telling-truth', 3)), ('<=>', ('telling-truth', 4), ('lying', 0)), ('or', ('lying', 0), ('lying', 1)), ('<=>', ('lying', 0), ('telling-truth', 4)))", "index": 661}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Logan, Ethan, Charlotte, Aria, and Jack. Logan remarked, \"Aria is a knave if and only if Jack is a knave\". Ethan stated, \"If Charlotte is a knave then Logan is a knave\". Charlotte remarked, \"If Jack is a knave then Logan is a knight\". Aria asserted: \"Logan is a knight\". \"Logan is not a knight,\" Jack declared. So who is a knight and who is a knave?", "names": ["Logan", "Ethan", "Charlotte", "Aria", "Jack"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false, true], "solution_text": "Logan is a knave, Ethan is a knight, Charlotte is a knight, Aria is a knave, and Jack is a knight.", "solution_text_format": "(1) Logan is a knave\n(2) Ethan is a knight\n(3) Charlotte is a knight\n(4) Aria is a knave\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 Logan is a knight. No contradiction is found in their claim that Aria is a knave if and only if Jack is a knave.", "Assume Aria is a knight. No contradiction is found in their claim that Logan is a knight.", "Jack cannot be a knight, because this would contradict the claim of their own that Logan is not a knight.", "Jack cannot be a knave, because this would contradict the claim of Logan that Aria is a knave if and only if Jack is a knave.", "We have exhausted all possibilities for Jack, so let us go back and reconsider Aria.", "Aria cannot be a knave, because this would contradict the false claim of their own that Logan is a knight.", "We have exhausted all possibilities for Aria, so let us go back and reconsider Logan.", "Assume Logan is a knave. No contradiction is found in their false claim that Aria is a knave if and only if Jack is a knave.", "Aria cannot be a knight, because this would contradict the claim of their own that Logan is a knight.", "Assume Aria is a knave. No contradiction is found in their false claim that Logan is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that Logan is not a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that If Charlotte is a knave then Logan is a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that If Jack is a knave then Logan is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 3), ('lying', 4)), ('->', ('lying', 2), ('lying', 0)), ('->', ('lying', 4), ('telling-truth', 0)), ('telling-truth', 0), ('not', ('telling-truth', 0)))", "index": 662}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Ava, Sebastian, Ethan, Joseph, and Jacob. Ava said that Sebastian is a knight if and only if Sebastian is a knave. Sebastian commented, \"Jacob is a knight\". Ethan expressed that Joseph is a knight and Ava is a knave. Joseph expressed that Sebastian is a knight if and only if Sebastian is a knave. Jacob said, \"Jacob is a knight or Sebastian is a knave.\" So who is a knight and who is a knave?", "names": ["Ava", "Sebastian", "Ethan", "Joseph", "Jacob"], "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": "Ava is a knave, Sebastian is a knight, Ethan is a knave, Joseph is a knave, and Jacob is a knight.", "solution_text_format": "(1) Ava is a knave\n(2) Sebastian is a knight\n(3) Ethan is a knave\n(4) Joseph is a knave\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": ["Ava cannot be a knight, because this would contradict the claim of their own that Sebastian is a knight if and only if Sebastian is a knave.", "Assume Ava is a knave. No contradiction is found in their false claim that Sebastian is a knight if and only if Sebastian is a knave.", "Assume Sebastian is a knight. No contradiction is found in their claim that Jacob is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that Jacob is a knight or Sebastian is a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that Joseph is a knight and Ava is a knave.", "Joseph cannot be a knight, because this would contradict the claim of their own that Sebastian is a knight if and only if Sebastian is a knave.", "Joseph cannot be a knave, because this would contradict the claim of Ethan that Joseph is a knight and Ava is a knave.", "We have exhausted all possibilities for Joseph, so let us go back and reconsider Ethan.", "Assume Ethan is a knave. No contradiction is found in their false claim that Joseph is a knight and Ava is a knave.", "Joseph cannot be a knight, because this would contradict the false claim of Ethan that Joseph is a knight and Ava is a knave.", "Assume Joseph is a knave. No contradiction is found in their false claim that Sebastian is a knight if and only if Sebastian is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('lying', 1)), ('telling-truth', 4), ('and', ('telling-truth', 3), ('lying', 0)), ('<=>', ('telling-truth', 1), ('lying', 1)), ('or', ('telling-truth', 4), ('lying', 1)))", "index": 663}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Benjamin, Owen, Scarlett, Mason, and Lily. Benjamin said, \"Mason is not a knave.\" \"Lily is a knave,\" Owen claimed. \"Scarlett is a knight and Owen is a knight,\" Scarlett claimed. Mason remarked, \"Benjamin is a knight if and only if Scarlett is a knight\". In Lily's words: \"Benjamin is a knight or Owen is a knave\". So who is a knight and who is a knave?", "names": ["Benjamin", "Owen", "Scarlett", "Mason", "Lily"], "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": "Benjamin is a knave, Owen is a knight, Scarlett is a knight, Mason is a knave, and Lily is a knave.", "solution_text_format": "(1) Benjamin is a knave\n(2) Owen is a knight\n(3) Scarlett is a knight\n(4) Mason 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 Benjamin is a knight. No contradiction is found in their claim that Mason is not a knave.", "Assume Mason is a knight. No contradiction is found in their claim that Benjamin is a knight if and only if Scarlett is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that Scarlett is a knight and Owen is a knight.", "Assume Owen 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 Owen that Lily is a knave.", "Lily cannot be a knave, because this would contradict the false claim of their own that Benjamin is a knight or Owen is a knave.", "We have exhausted all possibilities for Lily, so let us go back and reconsider Owen.", "Owen cannot be a knave, because this would contradict the claim of Scarlett that Scarlett is a knight and Owen is a knight.", "We have exhausted all possibilities for Owen, so let us go back and reconsider Scarlett.", "Scarlett cannot be a knave, because this would contradict the claim of Mason that Benjamin is a knight if and only if Scarlett is a knight.", "We have exhausted all possibilities for Scarlett, so let us go back and reconsider Mason.", "Mason cannot be a knave, because this would contradict the claim of Benjamin that Mason is not a knave.", "We have exhausted all possibilities for Mason, so let us go back and reconsider Benjamin.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Mason is not a knave.", "Mason cannot be a knight, because this would contradict the false claim of Benjamin that Mason is not a knave.", "Assume Mason is a knave. No contradiction is found in their false claim that Benjamin is a knight if and only if Scarlett is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that Scarlett is a knight and Owen is a knight.", "Assume Owen 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 Owen that Lily is a knave.", "Assume Lily is a knave. No contradiction is found in their false claim that Benjamin is a knight or Owen is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 3)), ('lying', 4), ('and', ('telling-truth', 2), ('telling-truth', 1)), ('<=>', ('telling-truth', 0), ('telling-truth', 2)), ('or', ('telling-truth', 0), ('lying', 1)))", "index": 664}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Zoey, Evelyn, Sophia, Lily, and Lucas. Zoey was heard saying, \"If Lily is a knight then Evelyn is a knight\". In a statement by Evelyn: \"Sophia is not a knave\". In Sophia's words: \"If Lucas is a knave then Lily is a knave\". Lily said that Evelyn is a knight and Sophia is a knight. \"Sophia is a knave or Lily is a knight\" - Lucas. So who is a knight and who is a knave?", "names": ["Zoey", "Evelyn", "Sophia", "Lily", "Lucas"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, true], "solution_text": "Zoey is a knight, Evelyn is a knight, Sophia is a knight, Lily is a knight, and Lucas is a knight.", "solution_text_format": "(1) Zoey is a knight\n(2) Evelyn is a knight\n(3) Sophia is a knight\n(4) Lily is a knight\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 If Lily is a knight then Evelyn is a knight.", "Assume Lily is a knight. No contradiction is found in their claim that Evelyn is a knight and Sophia is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that Sophia is not a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that If Lucas is a knave then Lily is a knave.", "Assume Lucas is a knight. No contradiction is found in their claim that Sophia is a knave or Lily is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 3), ('telling-truth', 1)), ('not', ('lying', 2)), ('->', ('lying', 4), ('lying', 3)), ('and', ('telling-truth', 1), ('telling-truth', 2)), ('or', ('lying', 2), ('telling-truth', 3)))", "index": 665}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Chloe, Michael, Mia, Mason, and Scarlett. Chloe stated, \"If Chloe is a knight then Mason is a knight\". \"Mason is a knave if and only if Scarlett is a knight,\" Michael declared. In a statement by Mia: \"If Scarlett is a knave then Chloe is a knight\". In a statement by Mason: \"If Scarlett is a knight then Chloe is a knight\". Scarlett asserted: \"Mia is a knight if and only if Mia is a knave\". So who is a knight and who is a knave?", "names": ["Chloe", "Michael", "Mia", "Mason", "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": "Chloe is a knight, Michael is a knight, Mia is a knight, Mason is a knight, and Scarlett is a knave.", "solution_text_format": "(1) Chloe is a knight\n(2) Michael is a knight\n(3) Mia is a knight\n(4) Mason 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 Chloe is a knight. No contradiction is found in their claim that If Chloe is a knight then Mason is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that If Scarlett is a knight then Chloe is a knight.", "Scarlett cannot be a knight, because this would contradict the claim of their own that Mia is a knight if and only if Mia is a knave.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Mia is a knight if and only if Mia is a knave.", "Assume Mia is a knight. No contradiction is found in their claim that If Scarlett is a knave then Chloe is a knight.", "Assume Michael is a knight. No contradiction is found in their claim that Mason is a knave if and only if Scarlett is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 0), ('telling-truth', 3)), ('<=>', ('lying', 3), ('telling-truth', 4)), ('->', ('lying', 4), ('telling-truth', 0)), ('->', ('telling-truth', 4), ('telling-truth', 0)), ('<=>', ('telling-truth', 2), ('lying', 2)))", "index": 666}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Grace, Jacob, David, Ethan, and Isabella. Grace said, \"David is a knave and Isabella is a knave.\" \"David is a knight or David is a knave,\" Jacob declared. As David put it, \"Ethan is a knave\". Ethan was heard saying, \"Grace is a knight\". Isabella noted, \"Grace is a knight\". So who is a knight and who is a knave?", "names": ["Grace", "Jacob", "David", "Ethan", "Isabella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false, false], "solution_text": "Grace is a knave, Jacob is a knight, David is a knight, Ethan is a knave, and Isabella is a knave.", "solution_text_format": "(1) Grace is a knave\n(2) Jacob is a knight\n(3) David is a knight\n(4) Ethan is a knave\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 Grace is a knight. No contradiction is found in their claim that David is a knave and Isabella is a knave.", "David cannot be a knight, because this would contradict the claim of Grace that David is a knave and Isabella is a knave.", "Assume David is a knave. No contradiction is found in their false claim that Ethan is a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that Grace is a knight.", "Isabella cannot be a knight, because this would contradict the claim of Grace that David is a knave and Isabella is a knave.", "Isabella cannot be a knave, because this would contradict the false claim of their own that Grace is a knight.", "We have exhausted all possibilities for Isabella, so let us go back and reconsider Ethan.", "Ethan cannot be a knave, because this would contradict the false claim of David that Ethan is a knave.", "We have exhausted all possibilities for Ethan and David, so let us go back and reconsider Grace.", "Assume Grace is a knave. No contradiction is found in their false claim that David is a knave and Isabella is a knave.", "Assume David is a knight. No contradiction is found in their claim that Ethan is a knave.", "Ethan cannot be a knight, because this would contradict the claim of David that Ethan is a knave.", "Assume Ethan is a knave. No contradiction is found in their false claim that Grace is a knight.", "Isabella cannot be a knight, because this would contradict the claim of their own that Grace is a knight.", "Assume Isabella is a knave. No contradiction is found in their false claim that Grace is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that David is a knight or David is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('lying', 4)), ('or', ('telling-truth', 2), ('lying', 2)), ('lying', 3), ('telling-truth', 0), ('telling-truth', 0))", "index": 667}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Victoria, Lucas, Samuel, Zoey, and Daniel. Victoria stated, \"Daniel is a knight or Samuel is a knight\". In a statement by Lucas: \"If Samuel is a knave then Daniel is a knave\". Samuel remarked, \"Lucas is a knave and Lucas is a knight\". Zoey stated, \"Victoria is a knight or Lucas is a knight\". \"Samuel is not a knave\" - Daniel. So who is a knight and who is a knave?", "names": ["Victoria", "Lucas", "Samuel", "Zoey", "Daniel"], "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": "Victoria is a knave, Lucas is a knight, Samuel is a knave, Zoey is a knight, and Daniel is a knave.", "solution_text_format": "(1) Victoria is a knave\n(2) Lucas is a knight\n(3) Samuel is a knave\n(4) Zoey 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 Victoria is a knight. No contradiction is found in their claim that Daniel is a knight or Samuel is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that Samuel is not a knave.", "Samuel cannot be a knight, because this would contradict the claim of their own that Lucas is a knave and Lucas is a knight.", "Samuel cannot be a knave, because this would contradict the claim of Daniel that Samuel is not a knave.", "We have exhausted all possibilities for Samuel, so let us go back and reconsider Daniel.", "Assume Daniel is a knave. No contradiction is found in their false claim that Samuel is not a knave.", "Samuel cannot be a knight, because this would contradict the claim of their own that Lucas is a knave and Lucas is a knight.", "Samuel cannot be a knave, because this would contradict the claim of Victoria that Daniel is a knight or Samuel is a knight.", "We have exhausted all possibilities for Samuel and Daniel, so let us go back and reconsider Victoria.", "Assume Victoria is a knave. No contradiction is found in their false claim that Daniel is a knight or Samuel is a knight.", "Daniel cannot be a knight, because this would contradict the false claim of Victoria that Daniel is a knight or Samuel is a knight.", "Assume Daniel is a knave. No contradiction is found in their false claim that Samuel is not a knave.", "Samuel cannot be a knight, because this would contradict the false claim of Victoria that Daniel is a knight or Samuel is a knight.", "Assume Samuel is a knave. No contradiction is found in their false claim that Lucas is a knave and Lucas is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that If Samuel is a knave then Daniel is a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that Victoria is a knight or Lucas is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 4), ('telling-truth', 2)), ('->', ('lying', 2), ('lying', 4)), ('and', ('lying', 1), ('telling-truth', 1)), ('or', ('telling-truth', 0), ('telling-truth', 1)), ('not', ('lying', 2)))", "index": 668}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Matthew, Elizabeth, Zoey, Mia, and Mason. Matthew noted, \"If Zoey is a knight then Elizabeth is a knave\". In Elizabeth's words: \"Mia is a knave or Mia is a knight\". Zoey commented, \"If Mason is a knave then Mason is a knight\". Mia remarked, \"Elizabeth is not a knave\". Mason remarked, \"Mia is a knave\". So who is a knight and who is a knave?", "names": ["Matthew", "Elizabeth", "Zoey", "Mia", "Mason"], "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": "Matthew is a knight, Elizabeth is a knight, Zoey is a knave, Mia is a knight, and Mason is a knave.", "solution_text_format": "(1) Matthew is a knight\n(2) Elizabeth is a knight\n(3) Zoey is a knave\n(4) Mia 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 Matthew is a knight. No contradiction is found in their claim that If Zoey is a knight then Elizabeth is a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that If Mason is a knave then Mason is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that Mia is a knave.", "Mia cannot be a knight, because this would contradict the claim of Mason that Mia is a knave.", "Assume Mia 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 claim of Matthew that If Zoey is a knight then Elizabeth is a knave.", "Elizabeth cannot be a knave, because this would contradict the false claim of their own that Mia is a knave or Mia is a knight.", "We have exhausted all possibilities for Elizabeth and Mia, so let us go back and reconsider Mason.", "Mason cannot be a knave, because this would contradict the claim of Zoey that If Mason is a knave then Mason is a knight.", "We have exhausted all possibilities for Mason, so let us go back and reconsider Zoey.", "Assume Zoey is a knave. No contradiction is found in their false claim that If Mason is a knave then Mason is a knight.", "Mason cannot be a knight, because this would contradict the false claim of Zoey that If Mason is a knave then Mason is a knight.", "Assume Mason is a knave. No contradiction is found in their false claim that Mia is a knave.", "Assume Mia is a knight. No contradiction is found in their claim that Elizabeth is not a knave.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Mia is a knave or Mia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 2), ('lying', 1)), ('or', ('lying', 3), ('telling-truth', 3)), ('->', ('lying', 4), ('telling-truth', 4)), ('not', ('lying', 1)), ('lying', 3))", "index": 669}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aiden, Harper, Charlotte, Scarlett, and Liam. \"Liam is a knave or Aiden is a knight\" - Aiden. Harper said, \"Charlotte is a knight or Liam is a knave.\" Charlotte expressed that Liam is not a knight. Scarlett noted, \"Charlotte is a knight or Scarlett is a knight\". Liam expressed that Liam is a knight and Harper is a knight. So who is a knight and who is a knave?", "names": ["Aiden", "Harper", "Charlotte", "Scarlett", "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": "Aiden is a knight, Harper is a knight, Charlotte is a knight, Scarlett is a knight, and Liam is a knave.", "solution_text_format": "(1) Aiden is a knight\n(2) Harper is a knight\n(3) Charlotte is a knight\n(4) Scarlett 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 Aiden is a knight. No contradiction is found in their claim that Liam is a knave or Aiden is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that Liam is a knight and Harper is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that Charlotte is a knight or Liam is a knave.", "Charlotte cannot be a knight, because this would contradict the claim of their own that Liam is not a knight.", "Charlotte cannot be a knave, because this would contradict the claim of Harper that Charlotte is a knight or Liam is a knave.", "We have exhausted all possibilities for Charlotte, so let us go back and reconsider Harper.", "Harper cannot be a knave, because this would contradict the claim of Liam that Liam is a knight and Harper is a knight.", "We have exhausted all possibilities for Harper, so let us go back and reconsider Liam.", "Assume Liam is a knave. No contradiction is found in their false claim that Liam is a knight and Harper is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that Charlotte is a knight or Liam is a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that Liam is not a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that Charlotte is a knight or Scarlett is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 4), ('telling-truth', 0)), ('or', ('telling-truth', 2), ('lying', 4)), ('not', ('telling-truth', 4)), ('or', ('telling-truth', 2), ('telling-truth', 3)), ('and', ('telling-truth', 4), ('telling-truth', 1)))", "index": 670}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Harper, Ethan, Noah, Jackson, and Victoria. Harper commented, \"Ethan is a knight if and only if Jackson is a knave\". Ethan said, \"Victoria is a knave and Ethan is a knight.\" \"If Ethan is a knave then Harper is a knave,\" Noah claimed. Jackson said that If Harper is a knight then Ethan is a knight. Victoria expressed that Jackson is a knave. So who is a knight and who is a knave?", "names": ["Harper", "Ethan", "Noah", "Jackson", "Victoria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, false], "solution_text": "Harper is a knave, Ethan is a knight, Noah is a knight, Jackson is a knight, and Victoria is a knave.", "solution_text_format": "(1) Harper is a knave\n(2) Ethan is a knight\n(3) Noah is a knight\n(4) Jackson is a knight\n(5) Victoria is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Harper is a knight. No contradiction is found in their claim that Ethan is a knight if and only if Jackson is a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that Victoria is a knave and Ethan is a knight.", "Victoria cannot be a knight, because this would contradict the claim of Ethan that Victoria is a knave and Ethan is a knight.", "Assume Victoria is a knave. No contradiction is found in their false claim that Jackson is a knave.", "Jackson cannot be a knight, because this would contradict the claim of Harper that Ethan is a knight if and only if Jackson is a knave.", "Jackson cannot be a knave, because this would contradict the false claim of their own that If Harper is a knight then Ethan is a knight.", "We have exhausted all possibilities for Jackson and Victoria, so let us go back and reconsider Ethan.", "Assume Ethan is a knave. No contradiction is found in their false claim that Victoria is a knave and Ethan is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that Jackson is a knave.", "Jackson cannot be a knight, because this would contradict the claim of their own that If Harper is a knight then Ethan is a knight.", "Jackson cannot be a knave, because this would contradict the claim of Harper that Ethan is a knight if and only if Jackson is a knave.", "We have exhausted all possibilities for Jackson, so let us go back and reconsider Victoria.", "Assume Victoria is a knave. No contradiction is found in their false claim that Jackson is a knave.", "Jackson cannot be a knight, because this would contradict the claim of their own that If Harper is a knight then Ethan is a knight.", "Jackson cannot be a knave, because this would contradict the claim of Harper that Ethan is a knight if and only if Jackson is a knave.", "We have exhausted all possibilities for Jackson, Victoria, and Ethan, so let us go back and reconsider Harper.", "Assume Harper is a knave. No contradiction is found in their false claim that Ethan is a knight if and only if Jackson is a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that Victoria is a knave and Ethan is a knight.", "Victoria cannot be a knight, because this would contradict the claim of Ethan that Victoria is a knave and Ethan is a knight.", "Assume Victoria is a knave. No contradiction is found in their false claim that Jackson is a knave.", "Assume Jackson is a knight. No contradiction is found in their claim that If Harper is a knight then Ethan is a knight.", "Assume Noah is a knight. No contradiction is found in their claim that If Ethan is a knave then Harper is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('lying', 3)), ('and', ('lying', 4), ('telling-truth', 1)), ('->', ('lying', 1), ('lying', 0)), ('->', ('telling-truth', 0), ('telling-truth', 1)), ('lying', 3))", "index": 671}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Daniel, Penelope, Noah, Lucas, and Abigail. Daniel noted, \"Lucas is a knave if and only if Penelope is a knave\". Penelope said, \"If Penelope is a knight then Noah is a knave.\" Noah told you that Noah is a knight and Abigail is a knave. \"Penelope is a knight or Noah is a knight\" - Lucas. As Abigail put it, \"If Abigail is a knight then Lucas is a knight\". So who is a knight and who is a knave?", "names": ["Daniel", "Penelope", "Noah", "Lucas", "Abigail"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true, true], "solution_text": "Daniel is a knight, Penelope is a knight, Noah is a knave, Lucas is a knight, and Abigail is a knight.", "solution_text_format": "(1) Daniel is a knight\n(2) Penelope is a knight\n(3) Noah is a knave\n(4) Lucas is a knight\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 Lucas is a knave if and only if Penelope is a knave.", "Assume Lucas is a knight. No contradiction is found in their claim that Penelope is a knight or Noah is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that If Penelope is a knight then Noah is a knave.", "Noah cannot be a knight, because this would contradict the claim of Penelope that If Penelope is a knight then Noah is a knave.", "Assume Noah is a knave. No contradiction is found in their false claim that Noah is a knight and Abigail is a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that If Abigail is a knight then Lucas is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 3), ('lying', 1)), ('->', ('telling-truth', 1), ('lying', 2)), ('and', ('telling-truth', 2), ('lying', 4)), ('or', ('telling-truth', 1), ('telling-truth', 2)), ('->', ('telling-truth', 4), ('telling-truth', 3)))", "index": 672}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Riley, Liam, Oliver, Mason, and Jack. \"Jack is not a knight,\" Riley mentioned. Liam commented, \"Riley is a knight or Mason is a knave\". As Oliver put it, \"Liam is not a knave\". Mason said that Oliver is a knight. Jack told you that Oliver is a knight and Mason is a knave. So who is a knight and who is a knave?", "names": ["Riley", "Liam", "Oliver", "Mason", "Jack"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, false], "solution_text": "Riley is a knight, Liam is a knight, Oliver is a knight, Mason is a knight, and Jack is a knave.", "solution_text_format": "(1) Riley is a knight\n(2) Liam is a knight\n(3) Oliver is a knight\n(4) Mason is a knight\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 Riley is a knight. No contradiction is found in their claim that Jack is not a knight.", "Jack cannot be a knight, because this would contradict the claim of Riley that Jack is not a knight.", "Assume Jack is a knave. No contradiction is found in their false claim that Oliver is a knight and Mason is a knave.", "Assume Oliver is a knight. No contradiction is found in their claim that Liam is not a knave.", "Assume Liam is a knight. No contradiction is found in their claim that Riley is a knight or Mason is a knave.", "Assume Mason is a knight. No contradiction is found in their claim that Oliver is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 4)), ('or', ('telling-truth', 0), ('lying', 3)), ('not', ('lying', 1)), ('telling-truth', 2), ('and', ('telling-truth', 2), ('lying', 3)))", "index": 673}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Charlotte, Chloe, Aiden, Olivia, and Noah. Charlotte noted, \"Aiden is not a knight\". Chloe was heard saying, \"Chloe is a knight and Charlotte is a knave\". Aiden said, \"If Aiden is a knight then Chloe is a knight.\" As Olivia put it, \"Aiden is not a knight\". Noah said, \"Olivia is not a knight.\" So who is a knight and who is a knave?", "names": ["Charlotte", "Chloe", "Aiden", "Olivia", "Noah"], "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": "Charlotte is a knave, Chloe is a knight, Aiden is a knight, Olivia is a knave, and Noah is a knight.", "solution_text_format": "(1) Charlotte is a knave\n(2) Chloe is a knight\n(3) Aiden is a knight\n(4) Olivia 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 Charlotte is a knight. No contradiction is found in their claim that Aiden is not a knight.", "Aiden cannot be a knight, because this would contradict the claim of Charlotte that Aiden is not a knight.", "Aiden cannot be a knave, because this would contradict the false claim of their own that If Aiden is a knight then Chloe is a knight.", "We have exhausted all possibilities for Aiden, so let us go back and reconsider Charlotte.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Aiden is not a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that If Aiden is a knight then Chloe is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that Chloe is a knight and Charlotte is a knave.", "Olivia cannot be a knight, because this would contradict the claim of their own that Aiden is not a knight.", "Assume Olivia is a knave. No contradiction is found in their false claim that Aiden is not a knight.", "Assume Noah is a knight. No contradiction is found in their claim that Olivia is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 2)), ('and', ('telling-truth', 1), ('lying', 0)), ('->', ('telling-truth', 2), ('telling-truth', 1)), ('not', ('telling-truth', 2)), ('not', ('telling-truth', 3)))", "index": 674}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Lucas, Evelyn, Penelope, Daniel, and Zoey. \"Daniel is a knight if and only if Penelope is a knave\" - Lucas. In Evelyn's words: \"Lucas is a knight if and only if Daniel is a knight\". Penelope commented, \"Penelope is a knight\". As Daniel put it, \"Penelope is a knight or Zoey is a knave\". In a statement by Zoey: \"Daniel is not a knave\". So who is a knight and who is a knave?", "names": ["Lucas", "Evelyn", "Penelope", "Daniel", "Zoey"], "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": "Lucas is a knave, Evelyn is a knave, Penelope is a knight, Daniel is a knight, and Zoey is a knight.", "solution_text_format": "(1) Lucas is a knave\n(2) Evelyn is a knave\n(3) Penelope is a knight\n(4) Daniel is a knight\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 Lucas is a knight. No contradiction is found in their claim that Daniel is a knight if and only if Penelope is a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that Penelope is a knight or Zoey is a knave.", "Penelope cannot be a knight, because this would contradict the claim of Lucas that Daniel is a knight if and only if Penelope is a knave.", "Assume Penelope is a knave. No contradiction is found in their false claim that Penelope is a knight.", "Zoey cannot be a knight, because this would contradict the claim of Daniel that Penelope is a knight or Zoey is a knave.", "Zoey cannot be a knave, because this would contradict the false claim of their own that Daniel is not a knave.", "We have exhausted all possibilities for Zoey and Penelope, so let us go back and reconsider Daniel.", "Assume Daniel is a knave. No contradiction is found in their false claim that Penelope is a knight or Zoey is a knave.", "Penelope cannot be a knight, because this would contradict the false claim of Daniel that Penelope is a knight or Zoey is a knave.", "Penelope cannot be a knave, because this would contradict the claim of Lucas that Daniel is a knight if and only if Penelope is a knave.", "We have exhausted all possibilities for Penelope 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 knight if and only if Penelope is a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that Penelope is a knight or Zoey is a knave.", "Assume Penelope is a knight. No contradiction is found in their claim that Penelope is a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that Daniel is not a knave.", "Evelyn cannot be a knight, because this would contradict the claim of their own that Lucas is a knight if and only if Daniel is a knight.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Lucas is a knight if and only if Daniel is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 3), ('lying', 2)), ('<=>', ('telling-truth', 0), ('telling-truth', 3)), ('telling-truth', 2), ('or', ('telling-truth', 2), ('lying', 4)), ('not', ('lying', 3)))", "index": 675}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Riley, Victoria, Penelope, Henry, and Daniel. Riley was heard saying, \"Daniel is not a knave\". \"Penelope is a knight,\" Victoria declared. Penelope said, \"If Daniel is a knave then Riley is a knave.\" Henry commented, \"If Penelope is a knave then Riley is a knight\". Daniel commented, \"Henry is not a knave\". So who is a knight and who is a knave?", "names": ["Riley", "Victoria", "Penelope", "Henry", "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": "Riley is a knight, Victoria is a knight, Penelope is a knight, Henry is a knight, and Daniel is a knight.", "solution_text_format": "(1) Riley is a knight\n(2) Victoria is a knight\n(3) Penelope is a knight\n(4) Henry 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 Riley 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 Henry is not a knave.", "Assume Henry is a knight. No contradiction is found in their claim that If Penelope is a knave then Riley is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that If Daniel is a knave then Riley is a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that Penelope is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 4)), ('telling-truth', 2), ('->', ('lying', 4), ('lying', 0)), ('->', ('lying', 2), ('telling-truth', 0)), ('not', ('lying', 3)))", "index": 676}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Jacob, Aiden, Sophia, Mia, and Noah. Jacob said that Noah is a knave and Aiden is a knave. Aiden remarked, \"If Sophia is a knight then Jacob is a knave\". In a statement by Sophia: \"If Aiden is a knave then Jacob is a knave\". Mia noted, \"Jacob is a knave\". \"Sophia is a knight if and only if Jacob is a knave,\" Noah claimed. So who is a knight and who is a knave?", "names": ["Jacob", "Aiden", "Sophia", "Mia", "Noah"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, true], "solution_text": "Jacob is a knave, Aiden is a knight, Sophia is a knight, Mia is a knight, and Noah is a knight.", "solution_text_format": "(1) Jacob is a knave\n(2) Aiden is a knight\n(3) Sophia is a knight\n(4) Mia is a knight\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 Noah is a knave and Aiden is a knave.", "Noah cannot be a knight, because this would contradict the claim of Jacob that Noah is a knave and Aiden is a knave.", "Assume Noah is a knave. No contradiction is found in their false claim that Sophia is a knight if and only if Jacob is a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that If Aiden is a knave then Jacob is a knave.", "Aiden cannot be a knight, because this would contradict the claim of Jacob that Noah is a knave and Aiden is a knave.", "Aiden cannot be a knave, because this would contradict the claim of Sophia that If Aiden is a knave then Jacob is a knave.", "We have exhausted all possibilities for Aiden, so let us go back and reconsider Sophia.", "Sophia cannot be a knave, because this would contradict the false claim of Noah that Sophia is a knight if and only if Jacob is a knave.", "We have exhausted all possibilities for Sophia and Noah, so let us go back and reconsider Jacob.", "Assume Jacob is a knave. No contradiction is found in their false claim that Noah is a knave and Aiden is a knave.", "Assume Noah is a knight. No contradiction is found in their claim that Sophia is a knight if and only if Jacob is a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that If Aiden is a knave then Jacob is a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that If Sophia is a knight then Jacob is a knave.", "Assume Mia is a knight. No contradiction is found in their claim that Jacob is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 4), ('lying', 1)), ('->', ('telling-truth', 2), ('lying', 0)), ('->', ('lying', 1), ('lying', 0)), ('lying', 0), ('<=>', ('telling-truth', 2), ('lying', 0)))", "index": 677}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Luke, Emma, Ella, Charlotte, and Victoria. Luke asserted: \"Charlotte is a knight if and only if Ella is a knave\". Emma stated, \"If Charlotte is a knave then Luke is a knave\". \"Luke is a knight,\" Ella mentioned. Charlotte told you that Emma is a knave and Ella is a knight. In Victoria's words: \"If Ella is a knave then Emma is a knave\". So who is a knight and who is a knave?", "names": ["Luke", "Emma", "Ella", "Charlotte", "Victoria"], "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": "Luke is a knave, Emma is a knight, Ella is a knave, Charlotte is a knave, and Victoria is a knave.", "solution_text_format": "(1) Luke is a knave\n(2) Emma is a knight\n(3) Ella is a knave\n(4) Charlotte is a knave\n(5) Victoria is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Luke is a knight. No contradiction is found in their claim that Charlotte is a knight if and only if Ella is a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that Emma is a knave and Ella is a knight.", "Emma cannot be a knight, because this would contradict the claim of Charlotte that Emma is a knave and Ella is a knight.", "Emma cannot be a knave, because this would contradict the false claim of their own that If Charlotte is a knave then Luke is a knave.", "We have exhausted all possibilities for Emma, so let us go back and reconsider Charlotte.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Emma is a knave and Ella is a knight.", "Emma cannot be a knight, because this would contradict the claim of their own that If Charlotte is a knave then Luke is a knave.", "Assume Emma is a knave. No contradiction is found in their false claim that If Charlotte is a knave then Luke is a knave.", "Ella cannot be a knight, because this would contradict the false claim of Charlotte that Emma is a knave and Ella is a knight.", "Ella cannot be a knave, because this would contradict the claim of Luke that Charlotte is a knight if and only if Ella is a knave.", "We have exhausted all possibilities for Ella, Emma, and Charlotte, so let us go back and reconsider Luke.", "Assume Luke is a knave. No contradiction is found in their false claim that Charlotte is a knight if and only if Ella is a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that Emma is a knave and Ella is a knight.", "Emma cannot be a knight, because this would contradict the claim of Charlotte that Emma is a knave and Ella is a knight.", "Emma cannot be a knave, because this would contradict the false claim of their own that If Charlotte is a knave then Luke is a knave.", "We have exhausted all possibilities for Emma, so let us go back and reconsider Charlotte.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Emma is a knave and Ella is a knight.", "Assume Emma is a knight. No contradiction is found in their claim that If Charlotte is a knave then Luke is a knave.", "Ella cannot be a knight, because this would contradict the false claim of Luke that Charlotte is a knight if and only if Ella is a knave.", "Assume Ella is a knave. No contradiction is found in their false claim that Luke is a knight.", "Victoria cannot be a knight, because this would contradict the claim of their own that If Ella is a knave then Emma is a knave.", "Assume Victoria is a knave. No contradiction is found in their false claim that If Ella is a knave then Emma is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 3), ('lying', 2)), ('->', ('lying', 3), ('lying', 0)), ('telling-truth', 0), ('and', ('lying', 1), ('telling-truth', 2)), ('->', ('lying', 2), ('lying', 1)))", "index": 678}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Noah, William, Jacob, Charlotte, and Avery. Noah expressed that Avery is a knave and Avery is a knight. In a statement by William: \"Noah is a knave or Avery is a knave\". \"Noah is not a knave,\" Jacob claimed. As Charlotte put it, \"Noah is a knave if and only if Jacob is a knight\". Avery was heard saying, \"Jacob is a knight if and only if William is a knave\". So who is a knight and who is a knave?", "names": ["Noah", "William", "Jacob", "Charlotte", "Avery"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false, true], "solution_text": "Noah is a knave, William is a knight, Jacob is a knave, Charlotte is a knave, and Avery is a knight.", "solution_text_format": "(1) Noah is a knave\n(2) William is a knight\n(3) Jacob is a knave\n(4) Charlotte 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": ["Noah cannot be a knight, because this would contradict the claim of their own that Avery is a knave and Avery is a knight.", "Assume Noah is a knave. No contradiction is found in their false claim that Avery is a knave and Avery is a knight.", "Assume Avery is a knight. No contradiction is found in their claim that Jacob is a knight if and only if William is a knave.", "Jacob cannot be a knight, because this would contradict the claim of their own that Noah is not a knave.", "Assume Jacob is a knave. No contradiction is found in their false claim that Noah is not a knave.", "Assume William is a knight. No contradiction is found in their claim that Noah is a knave or Avery is a knave.", "Charlotte cannot be a knight, because this would contradict the claim of their own that Noah is a knave if and only if Jacob is a knight.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Noah is a knave if and only if Jacob is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 4), ('telling-truth', 4)), ('or', ('lying', 0), ('lying', 4)), ('not', ('lying', 0)), ('<=>', ('lying', 0), ('telling-truth', 2)), ('<=>', ('telling-truth', 2), ('lying', 1)))", "index": 679}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Jackson, Victoria, Chloe, Zoey, and Owen. In Jackson's words: \"Zoey is a knight\". Victoria asserted: \"If Owen is a knight then Victoria is a knight\". Chloe said that Chloe is a knight if and only if Victoria is a knave. According to Zoey, \"Victoria is a knight or Chloe is a knight\". Owen was heard saying, \"Jackson is a knight\". So who is a knight and who is a knave?", "names": ["Jackson", "Victoria", "Chloe", "Zoey", "Owen"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, true], "solution_text": "Jackson is a knight, Victoria is a knave, Chloe is a knight, Zoey is a knight, and Owen is a knight.", "solution_text_format": "(1) Jackson is a knight\n(2) Victoria is a knave\n(3) Chloe is a knight\n(4) Zoey is a knight\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 Jackson is a knight. No contradiction is found in their claim that Zoey is a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that Victoria is a knight or Chloe is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that If Owen is a knight then Victoria is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that Jackson is a knight.", "Chloe cannot be a knight, because this would contradict the claim of their own that Chloe is a knight if and only if Victoria is a knave.", "Chloe cannot be a knave, because this would contradict the false claim of their own that Chloe is a knight if and only if Victoria is a knave.", "We have exhausted all possibilities for Chloe, so let us go back and reconsider Owen.", "Owen cannot be a knave, because this would contradict the false claim of their own that Jackson is a knight.", "We have exhausted all possibilities for Owen, so let us go back and reconsider Victoria.", "Assume Victoria is a knave. No contradiction is found in their false claim that If Owen is a knight then Victoria is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that Jackson is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that Chloe is a knight if and only if Victoria is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 3), ('->', ('telling-truth', 4), ('telling-truth', 1)), ('<=>', ('telling-truth', 2), ('lying', 1)), ('or', ('telling-truth', 1), ('telling-truth', 2)), ('telling-truth', 0))", "index": 680}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Noah, Mia, David, Avery, and Lily. \"If Mia is a knave then Mia is a knight,\" Noah declared. According to Mia, \"Lily is not a knave\". David expressed that Noah is not a knight. \"Noah is not a knight,\" Avery claimed. \"Mia is a knave or David is a knave,\" Lily mentioned. So who is a knight and who is a knave?", "names": ["Noah", "Mia", "David", "Avery", "Lily"], "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": "Noah is a knight, Mia is a knight, David is a knave, Avery is a knave, and Lily is a knight.", "solution_text_format": "(1) Noah is a knight\n(2) Mia is a knight\n(3) David is a knave\n(4) Avery is a knave\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": ["Assume Noah is a knight. No contradiction is found in their claim that If Mia is a knave then Mia is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that Lily is not a knave.", "Assume Lily is a knight. No contradiction is found in their claim that Mia is a knave or David is a knave.", "David cannot be a knight, because this would contradict the claim of their own that Noah is not a knight.", "Assume David is a knave. No contradiction is found in their false claim that Noah is not a knight.", "Avery cannot be a knight, because this would contradict the claim of their own that Noah is not a knight.", "Assume Avery is a knave. No contradiction is found in their false claim that Noah is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 1), ('telling-truth', 1)), ('not', ('lying', 4)), ('not', ('telling-truth', 0)), ('not', ('telling-truth', 0)), ('or', ('lying', 1), ('lying', 2)))", "index": 681}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Chloe, Logan, Elizabeth, Avery, and Ava. \"Elizabeth is not a knight,\" Chloe claimed. Logan commented, \"Ava is a knave if and only if Elizabeth is a knave\". In Elizabeth's words: \"Logan is a knight if and only if Elizabeth is a knight\". According to Avery, \"Ava is a knight\". \"Logan is not a knave,\" Ava mentioned. So who is a knight and who is a knave?", "names": ["Chloe", "Logan", "Elizabeth", "Avery", "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": "Chloe is a knave, Logan is a knight, Elizabeth is a knight, Avery is a knight, and Ava is a knight.", "solution_text_format": "(1) Chloe is a knave\n(2) Logan is a knight\n(3) Elizabeth is a knight\n(4) Avery 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 Chloe 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 Chloe that Elizabeth is not a knight.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Logan is a knight if and only if Elizabeth is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that Ava is a knave if and only if Elizabeth is a knave.", "Ava cannot be a knight, because this would contradict the claim of Logan that Ava is a knave if and only if Elizabeth is a knave.", "Ava cannot be a knave, because this would contradict the false claim of their own that Logan is not a knave.", "We have exhausted all possibilities for Ava, so let us go back and reconsider Logan.", "Logan cannot be a knave, because this would contradict the false claim of Elizabeth that Logan is a knight if and only if Elizabeth is a knight.", "We have exhausted all possibilities for Logan and Elizabeth, so let us go back and reconsider Chloe.", "Assume Chloe is a knave. No contradiction is found in their false claim that Elizabeth is not a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Logan is a knight if and only if Elizabeth is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that Ava is a knave if and only if Elizabeth is a knave.", "Assume Ava is a knight. No contradiction is found in their claim that Logan is not a knave.", "Assume Avery is a knight. No contradiction is found in their claim that Ava is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 2)), ('<=>', ('lying', 4), ('lying', 2)), ('<=>', ('telling-truth', 1), ('telling-truth', 2)), ('telling-truth', 4), ('not', ('lying', 1)))", "index": 682}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Elizabeth, Grace, Olivia, Scarlett, and Zoey. Elizabeth asserted: \"Scarlett is not a knight\". Grace was heard saying, \"Olivia is a knave\". \"Zoey is a knave or Olivia is a knight,\" Olivia claimed. According to Scarlett, \"Olivia is a knight\". Zoey asserted: \"If Zoey is a knight then Scarlett is a knight\". So who is a knight and who is a knave?", "names": ["Elizabeth", "Grace", "Olivia", "Scarlett", "Zoey"], "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": "Elizabeth is a knave, Grace is a knave, Olivia is a knight, Scarlett is a knight, and Zoey is a knight.", "solution_text_format": "(1) Elizabeth is a knave\n(2) Grace is a knave\n(3) Olivia is a knight\n(4) Scarlett is a knight\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 Elizabeth is a knight. No contradiction is found in their claim that Scarlett is not a knight.", "Scarlett cannot be a knight, because this would contradict the claim of Elizabeth that Scarlett is not a knight.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Olivia is a knight.", "Olivia cannot be a knight, because this would contradict the false claim of Scarlett that Olivia is a knight.", "Assume Olivia is a knave. No contradiction is found in their false claim that Zoey is a knave or Olivia is a knight.", "Zoey cannot be a knight, because this would contradict the claim of their own that If Zoey is a knight then Scarlett is a knight.", "Zoey cannot be a knave, because this would contradict the false claim of Olivia that Zoey is a knave or Olivia is a knight.", "We have exhausted all possibilities for Zoey, Olivia, and Scarlett, so let us go back and reconsider Elizabeth.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Scarlett is not a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that Olivia is a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that Zoey is a knave or Olivia is a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that If Zoey is a knight then Scarlett is a knight.", "Grace cannot be a knight, because this would contradict the claim of their own that Olivia is a knave.", "Assume Grace is a knave. No contradiction is found in their false claim that Olivia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 3)), ('lying', 2), ('or', ('lying', 4), ('telling-truth', 2)), ('telling-truth', 2), ('->', ('telling-truth', 4), ('telling-truth', 3)))", "index": 683}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Victoria, Liam, James, Sophia, and Logan. \"Sophia is a knave if and only if Logan is a knight,\" Victoria mentioned. Liam said that Victoria is a knave. \"Logan is not a knave\" - James. Sophia noted, \"James is not a knave\". Logan expressed that If Logan is a knight then James is a knight. So who is a knight and who is a knave?", "names": ["Victoria", "Liam", "James", "Sophia", "Logan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, true], "solution_text": "Victoria is a knave, Liam is a knight, James is a knight, Sophia is a knight, and Logan is a knight.", "solution_text_format": "(1) Victoria is a knave\n(2) Liam is a knight\n(3) James is a knight\n(4) Sophia 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 Victoria is a knight. No contradiction is found in their claim that Sophia is a knave if and only if Logan is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that James is not a knave.", "Assume James is a knight. No contradiction is found in their claim that Logan is not a knave.", "Logan cannot be a knight, because this would contradict the claim of Victoria that Sophia is a knave if and only if Logan is a knight.", "Logan cannot be a knave, because this would contradict the claim of James that Logan is not a knave.", "We have exhausted all possibilities for Logan, so let us go back and reconsider James.", "James cannot be a knave, because this would contradict the claim of Sophia that James is not a knave.", "We have exhausted all possibilities for James, so let us go back and reconsider Sophia.", "Assume Sophia is a knave. No contradiction is found in their false claim that James is not a knave.", "James cannot be a knight, because this would contradict the false claim of Sophia that James is not a knave.", "Assume James is a knave. No contradiction is found in their false claim that Logan is not a knave.", "Logan cannot be a knight, because this would contradict the false claim of James that Logan is not a knave.", "Logan cannot be a knave, because this would contradict the claim of Victoria that Sophia is a knave if and only if Logan is a knight.", "We have exhausted all possibilities for Logan, James, and Sophia, so let us go back and reconsider Victoria.", "Assume Victoria is a knave. No contradiction is found in their false claim that Sophia is a knave if and only if Logan is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that James is not a knave.", "Assume James is a knight. No contradiction is found in their claim that Logan is not a knave.", "Assume Logan is a knight. No contradiction is found in their claim that If Logan is a knight then James is a knight.", "Assume Liam 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', 3), ('telling-truth', 4)), ('lying', 0), ('not', ('lying', 4)), ('not', ('lying', 2)), ('->', ('telling-truth', 4), ('telling-truth', 2)))", "index": 684}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: William, Michael, Henry, David, and Lily. In a statement by William: \"If William is a knight then David is a knight\". Michael stated, \"William is a knight if and only if Henry is a knight\". In Henry's words: \"Henry is a knight and David is a knave\". \"Michael is a knight if and only if Lily is a knight,\" David claimed. \"Lily is a knight,\" Lily declared. So who is a knight and who is a knave?", "names": ["William", "Michael", "Henry", "David", "Lily"], "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": "William is a knight, Michael is a knave, Henry is a knave, David is a knight, and Lily is a knave.", "solution_text_format": "(1) William is a knight\n(2) Michael is a knave\n(3) Henry is a knave\n(4) David 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 William is a knight. No contradiction is found in their claim that If William is a knight then David is a knight.", "Assume David is a knight. No contradiction is found in their claim that Michael is a knight if and only if Lily is a knight.", "Assume Michael is a knight. No contradiction is found in their claim that William is a knight if and only if Henry is a knight.", "Henry cannot be a knight, because this would contradict the claim of their own that Henry is a knight and David is a knave.", "Henry cannot be a knave, because this would contradict the claim of Michael that William is a knight if and only if Henry is a knight.", "We have exhausted all possibilities for Henry, so let us go back and reconsider Michael.", "Assume Michael is a knave. No contradiction is found in their false claim that William is a knight if and only if Henry is a knight.", "Henry cannot be a knight, because this would contradict the false claim of Michael that William is a knight if and only if Henry is a knight.", "Assume Henry is a knave. No contradiction is found in their false claim that Henry is a knight and David is a knave.", "Lily cannot be a knight, because this would contradict the claim of David that Michael is a knight if and only if Lily is a knight.", "Assume Lily is a knave. No contradiction is found in their false claim that Lily is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 0), ('telling-truth', 3)), ('<=>', ('telling-truth', 0), ('telling-truth', 2)), ('and', ('telling-truth', 2), ('lying', 3)), ('<=>', ('telling-truth', 1), ('telling-truth', 4)), ('telling-truth', 4))", "index": 685}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Zoey, Sebastian, Mason, David, and Harper. As Zoey put it, \"Mason is not a knight\". Sebastian stated, \"Mason is a knave or Harper is a knight\". Mason expressed that Sebastian is a knight. David was heard saying, \"Mason is a knight or Harper is a knight\". Harper remarked, \"David is a knight\". So who is a knight and who is a knave?", "names": ["Zoey", "Sebastian", "Mason", "David", "Harper"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, true], "solution_text": "Zoey is a knave, Sebastian is a knight, Mason is a knight, David is a knight, and Harper is a knight.", "solution_text_format": "(1) Zoey is a knave\n(2) Sebastian is a knight\n(3) Mason is a knight\n(4) David 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 Zoey is a knight. No contradiction is found in their claim that Mason is not a knight.", "Mason cannot be a knight, because this would contradict the claim of Zoey that Mason is not a knight.", "Assume Mason is a knave. No contradiction is found in their false claim that Sebastian is a knight.", "Sebastian cannot be a knight, because this would contradict the false claim of Mason that Sebastian is a knight.", "Sebastian cannot be a knave, because this would contradict the false claim of their own that Mason is a knave or Harper is a knight.", "We have exhausted all possibilities for Sebastian and Mason, so let us go back and reconsider Zoey.", "Assume Zoey is a knave. No contradiction is found in their false claim that Mason is not a knight.", "Assume Mason is a knight. No contradiction is found in their claim that Sebastian is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Mason is a knave or Harper is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that David is a knight.", "Assume David is a knight. No contradiction is found in their claim that Mason is a knight or Harper is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 2)), ('or', ('lying', 2), ('telling-truth', 4)), ('telling-truth', 1), ('or', ('telling-truth', 2), ('telling-truth', 4)), ('telling-truth', 3))", "index": 686}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Oliver, Noah, Jacob, Emily, and Matthew. \"Matthew is not a knight,\" Oliver claimed. \"Emily is a knight or Oliver is a knight,\" Noah declared. As Jacob put it, \"Jacob is a knight or Noah is a knave\". Emily said, \"Noah is not a knight.\" \"Jacob is a knight,\" Matthew claimed. So who is a knight and who is a knave?", "names": ["Oliver", "Noah", "Jacob", "Emily", "Matthew"], "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": "Oliver is a knight, Noah is a knight, Jacob is a knave, Emily is a knave, and Matthew is a knave.", "solution_text_format": "(1) Oliver is a knight\n(2) Noah is a knight\n(3) Jacob is a knave\n(4) Emily 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 Oliver is a knight. No contradiction is found in their claim that Matthew is not a knight.", "Matthew cannot be a knight, because this would contradict the claim of Oliver that Matthew is not a knight.", "Assume Matthew is a knave. No contradiction is found in their false claim that Jacob is a knight.", "Jacob cannot be a knight, because this would contradict the false claim of Matthew that Jacob is a knight.", "Assume Jacob is a knave. No contradiction is found in their false claim that Jacob is a knight or Noah is a knave.", "Assume Noah is a knight. No contradiction is found in their claim that Emily is a knight or Oliver is a knight.", "Emily cannot be a knight, because this would contradict the claim of their own that Noah is not a knight.", "Assume Emily is a knave. No contradiction is found in their false claim that Noah is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 4)), ('or', ('telling-truth', 3), ('telling-truth', 0)), ('or', ('telling-truth', 2), ('lying', 1)), ('not', ('telling-truth', 1)), ('telling-truth', 2))", "index": 687}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: James, Henry, Noah, Jackson, and Avery. \"If Jackson is a knight then James is a knight\" - James. \"James is a knight if and only if Noah is a knight\" - Henry. Noah was heard saying, \"Jackson is a knight or Jackson is a knave\". Jackson remarked, \"Avery is not a knave\". Avery remarked, \"Noah is a knave\". So who is a knight and who is a knave?", "names": ["James", "Henry", "Noah", "Jackson", "Avery"], "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": "James is a knight, Henry is a knight, Noah is a knight, Jackson is a knave, and Avery is a knave.", "solution_text_format": "(1) James is a knight\n(2) Henry is a knight\n(3) Noah is a knight\n(4) Jackson is a knave\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 James is a knight. No contradiction is found in their claim that If Jackson is a knight then James is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that Avery is not a knave.", "Assume Avery is a knight. No contradiction is found in their claim that Noah is a knave.", "Noah cannot be a knight, because this would contradict the claim of Avery that Noah is a knave.", "Noah cannot be a knave, because this would contradict the false claim of their own that Jackson is a knight or Jackson is a knave.", "We have exhausted all possibilities for Noah, so let us go back and reconsider Avery.", "Avery cannot be a knave, because this would contradict the claim of Jackson that Avery is not a knave.", "We have exhausted all possibilities for Avery, so let us go back and reconsider Jackson.", "Assume Jackson is a knave. No contradiction is found in their false claim that Avery is not a knave.", "Avery cannot be a knight, because this would contradict the false claim of Jackson that Avery is not a knave.", "Assume Avery is a knave. No contradiction is found in their false claim that Noah is a knave.", "Assume Noah is a knight. No contradiction is found in their claim that Jackson is a knight or Jackson is a knave.", "Assume Henry is a knight. No contradiction is found in their claim that James is a knight if and only if Noah is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 3), ('telling-truth', 0)), ('<=>', ('telling-truth', 0), ('telling-truth', 2)), ('or', ('telling-truth', 3), ('lying', 3)), ('not', ('lying', 4)), ('lying', 2))", "index": 688}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Owen, Evelyn, Luke, Victoria, and Oliver. Owen said that Oliver is a knight. \"Owen is a knave\" - Evelyn. As Luke put it, \"Owen is not a knave\". Victoria expressed that Luke is a knight and Oliver is a knave. According to Oliver, \"Victoria is not a knave\". So who is a knight and who is a knave?", "names": ["Owen", "Evelyn", "Luke", "Victoria", "Oliver"], "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": "Owen is a knave, Evelyn is a knight, Luke is a knave, Victoria is a knave, and Oliver is a knave.", "solution_text_format": "(1) Owen is a knave\n(2) Evelyn is a knight\n(3) Luke is a knave\n(4) Victoria is a knave\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 Owen is a knight. No contradiction is found in their claim that Oliver is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that Victoria is not a knave.", "Victoria cannot be a knight, because this would contradict the claim of their own that Luke is a knight and Oliver is a knave.", "Victoria cannot be a knave, because this would contradict the claim of Oliver that Victoria is not a knave.", "We have exhausted all possibilities for Victoria, so let us go back and reconsider Oliver.", "Oliver cannot be a knave, because this would contradict the claim of Owen that Oliver is a knight.", "We have exhausted all possibilities for Oliver, so let us go back and reconsider Owen.", "Assume Owen is a knave. No contradiction is found in their false claim that Oliver is a knight.", "Oliver cannot be a knight, because this would contradict the false claim of Owen that Oliver is a knight.", "Assume Oliver is a knave. No contradiction is found in their false claim that Victoria is not a knave.", "Victoria cannot be a knight, because this would contradict the false claim of Oliver that Victoria is not a knave.", "Assume Victoria is a knave. No contradiction is found in their false claim that Luke is a knight and Oliver is a knave.", "Luke cannot be a knight, because this would contradict the claim of their own that Owen is not a knave.", "Assume Luke is a knave. No contradiction is found in their false claim that Owen is not a knave.", "Assume Evelyn is a knight. No contradiction is found in their claim that Owen is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 4), ('lying', 0), ('not', ('lying', 0)), ('and', ('telling-truth', 2), ('lying', 4)), ('not', ('lying', 3)))", "index": 689}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Olivia, Daniel, Aurora, Abigail, and Jacob. Olivia told you that Daniel is not a knight. In a statement by Daniel: \"Aurora is a knave\". Aurora remarked, \"Olivia is a knave if and only if Daniel is a knight\". \"Olivia is a knave or Olivia is a knight,\" Abigail mentioned. Jacob said that Daniel is a knave and Abigail is a knight. So who is a knight and who is a knave?", "names": ["Olivia", "Daniel", "Aurora", "Abigail", "Jacob"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, true], "solution_text": "Olivia is a knight, Daniel is a knave, Aurora is a knight, Abigail is a knight, and Jacob is a knight.", "solution_text_format": "(1) Olivia is a knight\n(2) Daniel is a knave\n(3) Aurora is a knight\n(4) Abigail 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 Olivia is a knight. No contradiction is found in their claim that Daniel is not a knight.", "Daniel cannot be a knight, because this would contradict the claim of Olivia that Daniel is not a knight.", "Assume Daniel is a knave. No contradiction is found in their false claim that Aurora is a knave.", "Assume Aurora is a knight. No contradiction is found in their claim that Olivia is a knave if and only if Daniel is a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that Olivia is a knave or Olivia is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that Daniel is a knave and Abigail is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('lying', 2), ('<=>', ('lying', 0), ('telling-truth', 1)), ('or', ('lying', 0), ('telling-truth', 0)), ('and', ('lying', 1), ('telling-truth', 3)))", "index": 690}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Jack, Lucas, Sofia, Henry, and William. \"Jack is a knight if and only if Henry is a knave\" - Jack. \"Jack is a knave or William is a knight,\" Lucas mentioned. \"Jack is a knight if and only if Lucas is a knight,\" Sofia claimed. Henry expressed that Lucas is a knave or William is a knight. In a statement by William: \"William is a knight\". So who is a knight and who is a knave?", "names": ["Jack", "Lucas", "Sofia", "Henry", "William"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false, false], "solution_text": "Jack is a knave, Lucas is a knight, Sofia is a knave, Henry is a knave, and William is a knave.", "solution_text_format": "(1) Jack is a knave\n(2) Lucas is a knight\n(3) Sofia is a knave\n(4) Henry is a knave\n(5) 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 Jack is a knight. No contradiction is found in their claim that Jack is a knight if and only if Henry is a knave.", "Henry cannot be a knight, because this would contradict the claim of Jack that Jack is a knight if and only if Henry is a knave.", "Assume Henry is a knave. No contradiction is found in their false claim that Lucas is a knave or William is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that Jack is a knave or William is a knight.", "William cannot be a knight, because this would contradict the false claim of Henry that Lucas is a knave or William is a knight.", "William cannot be a knave, because this would contradict the claim of Lucas that Jack is a knave or William is a knight.", "We have exhausted all possibilities for William, so let us go back and reconsider Lucas.", "Lucas cannot be a knave, because this would contradict the false claim of Henry that Lucas is a knave or William is a knight.", "We have exhausted all possibilities for Lucas and Henry, so let us go back and reconsider Jack.", "Assume Jack is a knave. No contradiction is found in their false claim that Jack is a knight if and only if Henry is a knave.", "Henry cannot be a knight, because this would contradict the false claim of Jack that Jack is a knight if and only if Henry is a knave.", "Assume Henry is a knave. No contradiction is found in their false claim that Lucas is a knave or William is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that Jack is a knave or William is a knight.", "William cannot be a knight, because this would contradict the false claim of Henry that Lucas is a knave or William is a knight.", "Assume William is a knave. No contradiction is found in their false claim that William is a knight.", "Sofia cannot be a knight, because this would contradict the claim of their own that Jack is a knight if and only if Lucas is a knight.", "Assume Sofia is a knave. No contradiction is found in their false claim that Jack is a knight if and only if Lucas is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 0), ('lying', 3)), ('or', ('lying', 0), ('telling-truth', 4)), ('<=>', ('telling-truth', 0), ('telling-truth', 1)), ('or', ('lying', 1), ('telling-truth', 4)), ('telling-truth', 4))", "index": 691}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Joseph, Elizabeth, Liam, Sophia, and Matthew. Joseph remarked, \"Elizabeth is a knave\". As Elizabeth put it, \"Matthew is not a knave\". \"Elizabeth is not a knight,\" Liam declared. \"Joseph is not a knight,\" Sophia mentioned. Matthew commented, \"Elizabeth is a knight if and only if Liam is a knave\". So who is a knight and who is a knave?", "names": ["Joseph", "Elizabeth", "Liam", "Sophia", "Matthew"], "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": "Joseph is a knave, Elizabeth is a knight, Liam is a knave, Sophia is a knight, and Matthew is a knight.", "solution_text_format": "(1) Joseph is a knave\n(2) Elizabeth is a knight\n(3) Liam is a knave\n(4) Sophia 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 Joseph is a knight. No contradiction is found in their claim that Elizabeth is a knave.", "Elizabeth cannot be a knight, because this would contradict the claim of Joseph that Elizabeth is a knave.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Matthew is not a knave.", "Matthew cannot be a knight, because this would contradict the false claim of Elizabeth that Matthew is not a knave.", "Assume Matthew is a knave. No contradiction is found in their false claim that Elizabeth is a knight if and only if Liam is a knave.", "Liam cannot be a knight, because this would contradict the false claim of Matthew that Elizabeth is a knight if and only if Liam is a knave.", "Liam cannot be a knave, because this would contradict the false claim of their own that Elizabeth is not a knight.", "We have exhausted all possibilities for Liam, Matthew, and Elizabeth, so let us go back and reconsider Joseph.", "Assume Joseph is a knave. No contradiction is found in their false claim that Elizabeth is a knave.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Matthew is not a knave.", "Assume Matthew is a knight. No contradiction is found in their claim that Elizabeth is a knight if and only if Liam is a knave.", "Liam cannot be a knight, because this would contradict the claim of their own that Elizabeth is not a knight.", "Assume Liam is a knave. No contradiction is found in their false claim that Elizabeth is not a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that Joseph is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('not', ('lying', 4)), ('not', ('telling-truth', 1)), ('not', ('telling-truth', 0)), ('<=>', ('telling-truth', 1), ('lying', 2)))", "index": 692}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Sophia, Aurora, Avery, Mia, and Abigail. In Sophia's words: \"Avery is a knave if and only if Mia is a knight\". Aurora remarked, \"Avery is not a knight\". Avery stated, \"If Avery is a knight then Mia is a knave\". \"Aurora is a knight or Avery is a knave,\" Mia mentioned. Abigail noted, \"Aurora is a knight or Mia is a knave\". So who is a knight and who is a knave?", "names": ["Sophia", "Aurora", "Avery", "Mia", "Abigail"], "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": "Sophia is a knight, Aurora is a knave, Avery is a knight, Mia is a knave, and Abigail is a knight.", "solution_text_format": "(1) Sophia is a knight\n(2) Aurora is a knave\n(3) Avery is a knight\n(4) Mia 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 Sophia is a knight. No contradiction is found in their claim that Avery is a knave if and only if Mia is a knight.", "Assume Avery is a knight. No contradiction is found in their claim that If Avery is a knight then Mia is a knave.", "Mia cannot be a knight, because this would contradict the claim of Sophia that Avery is a knave if and only if Mia is a knight.", "Assume Mia is a knave. No contradiction is found in their false claim that Aurora is a knight or Avery is a knave.", "Aurora cannot be a knight, because this would contradict the claim of their own that Avery is not a knight.", "Assume Aurora is a knave. No contradiction is found in their false claim that Avery is not a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that Aurora is a knight or Mia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 2), ('telling-truth', 3)), ('not', ('telling-truth', 2)), ('->', ('telling-truth', 2), ('lying', 3)), ('or', ('telling-truth', 1), ('lying', 2)), ('or', ('telling-truth', 1), ('lying', 3)))", "index": 693}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Penelope, Chloe, James, Avery, and Grace. In Penelope's words: \"Grace is a knight and Avery is a knight\". Chloe said, \"Grace is a knight if and only if James is a knave.\" James noted, \"Penelope is a knave\". In Avery's words: \"James is a knight or Penelope is a knave\". Grace told you that Grace is a knight. So who is a knight and who is a knave?", "names": ["Penelope", "Chloe", "James", "Avery", "Grace"], "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": "Penelope is a knave, Chloe is a knight, James is a knight, Avery is a knight, and Grace is a knave.", "solution_text_format": "(1) Penelope is a knave\n(2) Chloe is a knight\n(3) James is a knight\n(4) Avery is a knight\n(5) Grace is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Penelope is a knight. No contradiction is found in their claim that Grace is a knight and Avery is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that Grace is a knight.", "Assume Avery is a knight. No contradiction is found in their claim that James is a knight or Penelope is a knave.", "James cannot be a knight, because this would contradict the claim of their own that Penelope is a knave.", "James cannot be a knave, because this would contradict the claim of Avery that James is a knight or Penelope is a knave.", "We have exhausted all possibilities for James, so let us go back and reconsider Avery.", "Avery cannot be a knave, because this would contradict the claim of Penelope that Grace is a knight and Avery is a knight.", "We have exhausted all possibilities for Avery, so let us go back and reconsider Grace.", "Grace cannot be a knave, because this would contradict the claim of Penelope that Grace is a knight and Avery is a knight.", "We have exhausted all possibilities for Grace, so let us go back and reconsider Penelope.", "Assume Penelope is a knave. No contradiction is found in their false claim that Grace is a knight and Avery is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that Grace is a knight.", "Avery cannot be a knight, because this would contradict the false claim of Penelope that Grace is a knight and Avery is a knight.", "Avery cannot be a knave, because this would contradict the false claim of their own that James is a knight or Penelope is a knave.", "We have exhausted all possibilities for Avery, so let us go back and reconsider Grace.", "Assume Grace is a knave. No contradiction is found in their false claim that Grace is a knight.", "Assume Avery is a knight. No contradiction is found in their claim that James is a knight or Penelope is a knave.", "Assume James is a knight. No contradiction is found in their claim that Penelope is a knave.", "Assume Chloe is a knight. No contradiction is found in their claim that Grace is a knight if and only if James is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 4), ('telling-truth', 3)), ('<=>', ('telling-truth', 4), ('lying', 2)), ('lying', 0), ('or', ('telling-truth', 2), ('lying', 0)), ('telling-truth', 4))", "index": 694}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Ava, Benjamin, Liam, Michael, and Jackson. \"Liam is a knight and Jackson is a knave,\" Ava mentioned. Benjamin expressed that Ava is a knight if and only if Liam is a knave. Liam stated, \"Michael is a knight and Michael is a knave\". \"Benjamin is not a knave,\" Michael claimed. Jackson said, \"Ava is a knave.\" So who is a knight and who is a knave?", "names": ["Ava", "Benjamin", "Liam", "Michael", "Jackson"], "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, Benjamin is a knave, Liam is a knave, Michael is a knave, and Jackson is a knight.", "solution_text_format": "(1) Ava is a knave\n(2) Benjamin is a knave\n(3) Liam is a knave\n(4) Michael is a knave\n(5) Jackson is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ava is a knight. No contradiction is found in their claim that Liam is a knight and Jackson is a knave.", "Liam cannot be a knight, because this would contradict the claim of their own that Michael is a knight and Michael is a knave.", "Liam cannot be a knave, because this would contradict the claim of Ava that Liam is a knight and Jackson is a knave.", "We have exhausted all possibilities for Liam, so let us go back and reconsider Ava.", "Assume Ava is a knave. No contradiction is found in their false claim that Liam is a knight and Jackson is a knave.", "Liam cannot be a knight, because this would contradict the claim of their own that Michael is a knight and Michael is a knave.", "Assume Liam is a knave. No contradiction is found in their false claim that Michael is a knight and Michael is a knave.", "Assume Michael is a knight. No contradiction is found in their claim that Benjamin is not a knave.", "Benjamin cannot be a knight, because this would contradict the claim of their own that Ava is a knight if and only if Liam is a knave.", "Benjamin cannot be a knave, because this would contradict the claim of Michael that Benjamin is not a knave.", "We have exhausted all possibilities for Benjamin, so let us go back and reconsider Michael.", "Assume Michael is a knave. No contradiction is found in their false claim that Benjamin is not a knave.", "Benjamin cannot be a knight, because this would contradict the claim of their own that Ava is a knight if and only if Liam is a knave.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Ava is a knight if and only if Liam is a knave.", "Assume Jackson is a knight. No contradiction is found in their claim that Ava is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 2), ('lying', 4)), ('<=>', ('telling-truth', 0), ('lying', 2)), ('and', ('telling-truth', 3), ('lying', 3)), ('not', ('lying', 1)), ('lying', 0))", "index": 695}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Benjamin, Olivia, Amelia, Owen, and Aria. Benjamin noted, \"Benjamin is a knight and Owen is a knave\". \"Owen is a knave,\" Olivia mentioned. Amelia expressed that Aria is not a knight. Owen said that If Aria is a knight then Owen is a knight. Aria stated, \"Owen is not a knave\". So who is a knight and who is a knave?", "names": ["Benjamin", "Olivia", "Amelia", "Owen", "Aria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true, true], "solution_text": "Benjamin is a knave, Olivia is a knave, Amelia is a knave, Owen is a knight, and Aria is a knight.", "solution_text_format": "(1) Benjamin is a knave\n(2) Olivia is a knave\n(3) Amelia is a knave\n(4) Owen 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 Benjamin is a knight. No contradiction is found in their claim that Benjamin is a knight and Owen is a knave.", "Owen cannot be a knight, because this would contradict the claim of Benjamin that Benjamin is a knight and Owen is a knave.", "Assume Owen is a knave. No contradiction is found in their false claim that If Aria is a knight then Owen is a knight.", "Aria cannot be a knight, because this would contradict the claim of their own that Owen is not a knave.", "Aria cannot be a knave, because this would contradict the false claim of Owen that If Aria is a knight then Owen is a knight.", "We have exhausted all possibilities for Aria and Owen, so let us go back and reconsider Benjamin.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Benjamin is a knight and Owen is a knave.", "Assume Owen is a knight. No contradiction is found in their claim that If Aria is a knight then Owen is a knight.", "Assume Aria is a knight. No contradiction is found in their claim that Owen is not a knave.", "Olivia cannot be a knight, because this would contradict the claim of their own that Owen is a knave.", "Assume Olivia is a knave. No contradiction is found in their false claim that Owen is a knave.", "Amelia cannot be a knight, because this would contradict the claim of their own that Aria is not a knight.", "Assume Amelia is a knave. No contradiction is found in their false claim that Aria is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 0), ('lying', 3)), ('lying', 3), ('not', ('telling-truth', 4)), ('->', ('telling-truth', 4), ('telling-truth', 3)), ('not', ('lying', 3)))", "index": 696}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Grace, Lily, Evelyn, Aurora, and Jack. \"Grace is a knight and Jack is a knight,\" Grace claimed. Lily expressed that Evelyn is not a knave. \"Jack is a knave or Evelyn is a knight,\" Evelyn mentioned. Aurora expressed that Evelyn is a knight. Jack said that Evelyn is a knave and Lily is a knight. So who is a knight and who is a knave?", "names": ["Grace", "Lily", "Evelyn", "Aurora", "Jack"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, false], "solution_text": "Grace is a knave, Lily is a knight, Evelyn is a knight, Aurora is a knight, and Jack is a knave.", "solution_text_format": "(1) Grace is a knave\n(2) Lily is a knight\n(3) Evelyn is a knight\n(4) Aurora is a knight\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 Grace is a knight. No contradiction is found in their claim that Grace is a knight and Jack is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that Evelyn is a knave and Lily is a knight.", "Evelyn cannot be a knight, because this would contradict the claim of Jack that Evelyn is a knave and Lily is a knight.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Jack is a knave or Evelyn is a knight.", "Lily cannot be a knight, because this would contradict the claim of their own that Evelyn is not a knave.", "Lily cannot be a knave, because this would contradict the claim of Jack that Evelyn is a knave and Lily is a knight.", "We have exhausted all possibilities for Lily and Evelyn, so let us go back and reconsider Jack.", "Jack cannot be a knave, because this would contradict the claim of Grace that Grace is a knight and Jack is a knight.", "We have exhausted all possibilities for Jack, so let us go back and reconsider Grace.", "Assume Grace is a knave. No contradiction is found in their false claim that Grace is a knight and Jack is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that Evelyn is a knave and Lily is a knight.", "Evelyn cannot be a knight, because this would contradict the claim of Jack that Evelyn is a knave and Lily is a knight.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Jack is a knave or Evelyn is a knight.", "Lily cannot be a knight, because this would contradict the claim of their own that Evelyn is not a knave.", "Lily cannot be a knave, because this would contradict the claim of Jack that Evelyn is a knave and Lily is a knight.", "We have exhausted all possibilities for Lily and Evelyn, so let us go back and reconsider Jack.", "Assume Jack is a knave. No contradiction is found in their false claim that Evelyn is a knave and Lily is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that Jack is a knave or Evelyn is a knight.", "Assume Lily is a knight. No contradiction is found in their claim that Evelyn is not a knave.", "Assume Aurora is a knight. No contradiction is found in their claim that Evelyn is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 0), ('telling-truth', 4)), ('not', ('lying', 2)), ('or', ('lying', 4), ('telling-truth', 2)), ('telling-truth', 2), ('and', ('lying', 2), ('telling-truth', 1)))", "index": 697}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Michael, David, Harper, Zoey, and Mia. Michael said, \"Harper is not a knight.\" In a statement by David: \"Mia is a knight if and only if Zoey is a knight\". Harper expressed that David is not a knave. \"If Harper is a knight then Michael is a knight,\" Zoey mentioned. In a statement by Mia: \"David is not a knight\". So who is a knight and who is a knave?", "names": ["Michael", "David", "Harper", "Zoey", "Mia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false, false], "solution_text": "Michael is a knave, David is a knight, Harper is a knight, Zoey is a knave, and Mia is a knave.", "solution_text_format": "(1) Michael is a knave\n(2) David is a knight\n(3) Harper is a knight\n(4) Zoey 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 Michael is a knight. No contradiction is found in their claim that Harper is not a knight.", "Harper cannot be a knight, because this would contradict the claim of Michael that Harper is not a knight.", "Assume Harper is a knave. No contradiction is found in their false claim that David is not a knave.", "David cannot be a knight, because this would contradict the false claim of Harper that David is not a knave.", "Assume David is a knave. No contradiction is found in their false claim that Mia is a knight if and only if Zoey is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that David is not a knight.", "Zoey cannot be a knight, because this would contradict the false claim of David that Mia is a knight if and only if Zoey is a knight.", "Zoey cannot be a knave, because this would contradict the false claim of their own that If Harper is a knight then Michael is a knight.", "We have exhausted all possibilities for Zoey, so let us go back and reconsider Mia.", "Mia 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 Mia, David, and Harper, so let us go back and reconsider Michael.", "Assume Michael is a knave. No contradiction is found in their false claim that Harper is not a knight.", "Assume Harper is a knight. No contradiction is found in their claim that David is not a knave.", "Assume David is a knight. No contradiction is found in their claim that Mia is a knight if and only if Zoey is a knight.", "Mia cannot be a knight, because this would contradict the claim of their own that David is not a knight.", "Assume Mia is a knave. No contradiction is found in their false claim that David is not a knight.", "Zoey cannot be a knight, because this would contradict the claim of David that Mia is a knight if and only if Zoey is a knight.", "Assume Zoey is a knave. No contradiction is found in their false claim that If Harper is a knight then Michael is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 2)), ('<=>', ('telling-truth', 4), ('telling-truth', 3)), ('not', ('lying', 1)), ('->', ('telling-truth', 2), ('telling-truth', 0)), ('not', ('telling-truth', 1)))", "index": 698}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Mason, Penelope, James, Abigail, and Joseph. Mason stated, \"Penelope is a knight or James is a knight\". \"Abigail is not a knight\" - Penelope. James told you that Penelope is a knave. Abigail said, \"Mason is a knight.\" \"Mason is a knight,\" Joseph declared. So who is a knight and who is a knave?", "names": ["Mason", "Penelope", "James", "Abigail", "Joseph"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, true], "solution_text": "Mason is a knight, Penelope is a knave, James is a knight, Abigail is a knight, and Joseph is a knight.", "solution_text_format": "(1) Mason is a knight\n(2) Penelope is a knave\n(3) James is a knight\n(4) Abigail is a knight\n(5) Joseph is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Mason is a knight. No contradiction is found in their claim that Penelope is a knight or James is a knight.", "Assume Penelope 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 Penelope that Abigail is not a knight.", "Abigail cannot be a knave, because this would contradict the false claim of their own that Mason is a knight.", "We have exhausted all possibilities for Abigail, so let us go back and reconsider Penelope.", "Assume Penelope is a knave. No contradiction is found in their false claim that Abigail is not a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that Mason is a knight.", "Assume James is a knight. No contradiction is found in their claim that Penelope is a knave.", "Assume Joseph is a knight. No contradiction is found in their claim that Mason is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 1), ('telling-truth', 2)), ('not', ('telling-truth', 3)), ('lying', 1), ('telling-truth', 0), ('telling-truth', 0))", "index": 699}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: James, David, Riley, Daniel, and Ethan. James was heard saying, \"Riley is a knave or Daniel is a knight\". David said, \"Riley is a knight if and only if Ethan is a knave.\" Riley told you that Daniel is a knight. Daniel was heard saying, \"Ethan is a knight\". Ethan noted, \"Ethan is a knight and Riley is a knave\". So who is a knight and who is a knave?", "names": ["James", "David", "Riley", "Daniel", "Ethan"], "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": "James is a knight, David is a knave, Riley is a knave, Daniel is a knave, and Ethan is a knave.", "solution_text_format": "(1) James is a knight\n(2) David is a knave\n(3) Riley is a knave\n(4) Daniel is a knave\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 James is a knight. No contradiction is found in their claim that Riley is a knave or Daniel is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that Daniel is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that Ethan is a knight.", "Ethan cannot be a knight, because this would contradict the claim of their own that Ethan is a knight and Riley is a knave.", "Ethan cannot be a knave, because this would contradict the claim of Daniel that Ethan is a knight.", "We have exhausted all possibilities for Ethan, so let us go back and reconsider Daniel.", "Daniel cannot be a knave, because this would contradict the claim of James that Riley is a knave or Daniel is a knight.", "We have exhausted all possibilities for Daniel, so let us go back and reconsider Riley.", "Assume Riley is a knave. No contradiction is found in their false claim that Daniel is a knight.", "Daniel cannot be a knight, because this would contradict the false claim of Riley that Daniel is a knight.", "Assume Daniel is a knave. No contradiction is found in their false claim that Ethan is a knight.", "Ethan cannot be a knight, because this would contradict the false claim of Daniel that Ethan is a knight.", "Assume Ethan is a knave. No contradiction is found in their false claim that Ethan is a knight and Riley is a knave.", "David cannot be a knight, because this would contradict the claim of their own that Riley is a knight if and only if Ethan is a knave.", "Assume David is a knave. No contradiction is found in their false claim that Riley is a knight if and only if Ethan is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 2), ('telling-truth', 3)), ('<=>', ('telling-truth', 2), ('lying', 4)), ('telling-truth', 3), ('telling-truth', 4), ('and', ('telling-truth', 4), ('lying', 2)))", "index": 700}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Jackson, Mia, Abigail, Jack, and Riley. In a statement by Jackson: \"Jack is a knight\". Mia expressed that Jack is a knight if and only if Abigail is a knight. Abigail stated, \"Jack is a knight if and only if Jackson is a knight\". Jack said, \"Riley is not a knave.\" \"Jackson is a knight if and only if Jack is a knight\" - Riley. So who is a knight and who is a knave?", "names": ["Jackson", "Mia", "Abigail", "Jack", "Riley"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, true], "solution_text": "Jackson is a knight, Mia is a knight, Abigail is a knight, Jack is a knight, and Riley is a knight.", "solution_text_format": "(1) Jackson is a knight\n(2) Mia is a knight\n(3) Abigail is a knight\n(4) Jack 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 Jackson 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 Riley is not a knave.", "Assume Riley is a knight. No contradiction is found in their claim that Jackson is a knight if and only if Jack is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that Jack is a knight if and only if Abigail is a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that Jack is a knight if and only if Jackson is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 3), ('<=>', ('telling-truth', 3), ('telling-truth', 2)), ('<=>', ('telling-truth', 3), ('telling-truth', 0)), ('not', ('lying', 4)), ('<=>', ('telling-truth', 0), ('telling-truth', 3)))", "index": 701}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Ethan, Harper, Sophia, Isabella, and Mia. According to Ethan, \"Harper is not a knave\". Harper commented, \"Ethan is not a knave\". Sophia commented, \"Mia is a knave and Isabella is a knave\". \"Mia is a knight if and only if Ethan is a knight\" - Isabella. \"Ethan is a knave or Isabella is a knave,\" Mia mentioned. So who is a knight and who is a knave?", "names": ["Ethan", "Harper", "Sophia", "Isabella", "Mia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, false, true], "solution_text": "Ethan is a knave, Harper is a knave, Sophia is a knave, Isabella is a knave, and Mia is a knight.", "solution_text_format": "(1) Ethan is a knave\n(2) Harper is a knave\n(3) Sophia is a knave\n(4) Isabella 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 Ethan is a knight. No contradiction is found in their claim that Harper is not a knave.", "Assume Harper is a knight. No contradiction is found in their claim that Ethan is not a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that Mia is a knave and Isabella is a knave.", "Mia cannot be a knight, because this would contradict the claim of Sophia that Mia is a knave and Isabella is a knave.", "Assume Mia is a knave. No contradiction is found in their false claim that Ethan is a knave or Isabella is a knave.", "Isabella cannot be a knight, because this would contradict the claim of Sophia that Mia is a knave and Isabella is a knave.", "Isabella cannot be a knave, because this would contradict the false claim of Mia that Ethan is a knave or Isabella is a knave.", "We have exhausted all possibilities for Isabella and Mia, so let us go back and reconsider Sophia.", "Assume Sophia is a knave. No contradiction is found in their false claim that Mia is a knave and Isabella is a knave.", "Assume Mia is a knight. No contradiction is found in their claim that Ethan is a knave or Isabella is a knave.", "Isabella cannot be a knight, because this would contradict the claim of Mia that Ethan is a knave or Isabella is a knave.", "Isabella cannot be a knave, because this would contradict the false claim of their own that Mia is a knight if and only if Ethan is a knight.", "We have exhausted all possibilities for Isabella, so let us go back and reconsider Mia.", "Assume Mia is a knave. No contradiction is found in their false claim that Ethan is a knave or Isabella is a knave.", "Isabella cannot be a knight, because this would contradict the claim of their own that Mia is a knight if and only if Ethan is a knight.", "Isabella cannot be a knave, because this would contradict the false claim of Sophia that Mia is a knave and Isabella is a knave.", "We have exhausted all possibilities for Isabella, Mia, and Sophia, so let us go back and reconsider Harper.", "Harper cannot be a knave, because this would contradict the claim of Ethan that Harper is not a knave.", "We have exhausted all possibilities for Harper, so let us go back and reconsider Ethan.", "Assume Ethan is a knave. No contradiction is found in their false claim that Harper is not a knave.", "Harper cannot be a knight, because this would contradict the false claim of Ethan that Harper is not a knave.", "Assume Harper is a knave. No contradiction is found in their false claim that Ethan is not a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that Mia is a knave and Isabella is a knave.", "Mia cannot be a knight, because this would contradict the claim of Sophia that Mia is a knave and Isabella is a knave.", "Mia cannot be a knave, because this would contradict the false claim of their own that Ethan is a knave or Isabella is a knave.", "We have exhausted all possibilities for Mia, so let us go back and reconsider Sophia.", "Assume Sophia is a knave. No contradiction is found in their false claim that Mia is a knave and Isabella is a knave.", "Assume Mia is a knight. No contradiction is found in their claim that Ethan is a knave or Isabella is a knave.", "Isabella cannot be a knight, because this would contradict the claim of their own that Mia is a knight if and only if Ethan is a knight.", "Assume Isabella is a knave. No contradiction is found in their false claim that Mia is a knight if and only if Ethan is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 1)), ('not', ('lying', 0)), ('and', ('lying', 4), ('lying', 3)), ('<=>', ('telling-truth', 4), ('telling-truth', 0)), ('or', ('lying', 0), ('lying', 3)))", "index": 702}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Victoria, Charlotte, James, Grace, and Ethan. Victoria told you that If James is a knave then Grace is a knave. \"Charlotte is a knight,\" Charlotte mentioned. James expressed that Ethan is a knight and Charlotte is a knave. As Grace put it, \"Ethan is a knight if and only if Grace is a knight\". Ethan commented, \"Victoria is not a knight\". So who is a knight and who is a knave?", "names": ["Victoria", "Charlotte", "James", "Grace", "Ethan"], "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": "Victoria is a knave, Charlotte is a knight, James is a knave, Grace is a knight, and Ethan is a knight.", "solution_text_format": "(1) Victoria is a knave\n(2) Charlotte is a knight\n(3) James is a knave\n(4) Grace is a knight\n(5) 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 Victoria is a knight. No contradiction is found in their claim that If James is a knave then Grace is a knave.", "Assume James is a knight. No contradiction is found in their claim that Ethan is a knight and Charlotte is a knave.", "Ethan cannot be a knight, because this would contradict the claim of their own that Victoria is not a knight.", "Ethan cannot be a knave, because this would contradict the claim of James that Ethan is a knight and Charlotte is a knave.", "We have exhausted all possibilities for Ethan, so let us go back and reconsider James.", "Assume James is a knave. No contradiction is found in their false claim that Ethan is a knight and Charlotte is a knave.", "Ethan cannot be a knight, because this would contradict the claim of their own that Victoria is not a knight.", "Assume Ethan is a knave. No contradiction is found in their false claim that Victoria is not a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that Charlotte is a knight.", "Grace cannot be a knight, because this would contradict the claim of Victoria that If James is a knave then Grace is a knave.", "Grace cannot be a knave, because this would contradict the false claim of their own that Ethan is a knight if and only if Grace is a knight.", "We have exhausted all possibilities for Grace, so let us go back and reconsider Charlotte.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Charlotte is a knight.", "Grace cannot be a knight, because this would contradict the claim of Victoria that If James is a knave then Grace is a knave.", "Grace cannot be a knave, because this would contradict the false claim of their own that Ethan is a knight if and only if Grace is a knight.", "We have exhausted all possibilities for Grace, Charlotte, Ethan, and James, so let us go back and reconsider Victoria.", "Assume Victoria is a knave. No contradiction is found in their false claim that If James is a knave then Grace is a knave.", "James cannot be a knight, because this would contradict the false claim of Victoria that If James is a knave then Grace is a knave.", "Assume James is a knave. No contradiction is found in their false claim that Ethan is a knight and Charlotte is a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that Victoria is not a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that Charlotte is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that Ethan is a knight if and only if Grace is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 2), ('lying', 3)), ('telling-truth', 1), ('and', ('telling-truth', 4), ('lying', 1)), ('<=>', ('telling-truth', 4), ('telling-truth', 3)), ('not', ('telling-truth', 0)))", "index": 703}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Jackson, Victoria, Oliver, Joseph, and Riley. \"If Joseph is a knave then Joseph is a knight\" - Jackson. Victoria said, \"Joseph is not a knight.\" Oliver asserted: \"Victoria is a knight\". Joseph said that Riley is a knave if and only if Riley is a knight. \"Victoria is a knave and Riley is a knight\" - Riley. So who is a knight and who is a knave?", "names": ["Jackson", "Victoria", "Oliver", "Joseph", "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": "Jackson is a knave, Victoria is a knight, Oliver is a knight, Joseph is a knave, and Riley is a knave.", "solution_text_format": "(1) Jackson is a knave\n(2) Victoria is a knight\n(3) Oliver is a knight\n(4) Joseph 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 Jackson is a knight. No contradiction is found in their claim that If Joseph is a knave then Joseph is a knight.", "Joseph cannot be a knight, because this would contradict the claim of their own that Riley is a knave if and only if Riley is a knight.", "Joseph cannot be a knave, because this would contradict the claim of Jackson that If Joseph is a knave then Joseph is a knight.", "We have exhausted all possibilities for Joseph, so let us go back and reconsider Jackson.", "Assume Jackson is a knave. No contradiction is found in their false claim that If Joseph is a knave then Joseph is a knight.", "Joseph cannot be a knight, because this would contradict the false claim of Jackson that If Joseph is a knave then Joseph is a knight.", "Assume Joseph is a knave. No contradiction is found in their false claim that Riley is a knave if and only if Riley is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that Victoria is a knave and Riley is a knight.", "Victoria cannot be a knight, because this would contradict the claim of Riley that Victoria is a knave and Riley is a knight.", "Victoria cannot be a knave, because this would contradict the false claim of their own that Joseph is not a knight.", "We have exhausted all possibilities for Victoria, so let us go back and reconsider Riley.", "Assume Riley is a knave. No contradiction is found in their false claim that Victoria is a knave and Riley is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that Joseph is not a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that Victoria is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 3), ('telling-truth', 3)), ('not', ('telling-truth', 3)), ('telling-truth', 1), ('<=>', ('lying', 4), ('telling-truth', 4)), ('and', ('lying', 1), ('telling-truth', 4)))", "index": 704}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Abigail, Sebastian, Liam, Samuel, and Riley. Abigail stated, \"Riley is a knave\". In Sebastian's words: \"Riley is a knave and Riley is a knight\". Liam said, \"Riley is a knight or Abigail is a knave.\" Samuel commented, \"Liam is a knight if and only if Sebastian is a knight\". \"Sebastian is not a knave,\" Riley declared. So who is a knight and who is a knave?", "names": ["Abigail", "Sebastian", "Liam", "Samuel", "Riley"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, false], "solution_text": "Abigail is a knight, Sebastian is a knave, Liam is a knave, Samuel is a knight, and Riley is a knave.", "solution_text_format": "(1) Abigail is a knight\n(2) Sebastian is a knave\n(3) Liam is a knave\n(4) Samuel is a knight\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 Abigail 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 Abigail that Riley is a knave.", "Assume Riley is a knave. No contradiction is found in their false claim that Sebastian is not a knave.", "Sebastian cannot be a knight, because this would contradict the claim of their own that Riley is a knave and Riley is a knight.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Riley is a knave and Riley is a knight.", "Liam cannot be a knight, because this would contradict the claim of their own that Riley is a knight or Abigail is a knave.", "Assume Liam is a knave. No contradiction is found in their false claim that Riley is a knight or Abigail is a knave.", "Assume Samuel is a knight. No contradiction is found in their claim that Liam is a knight if and only if Sebastian is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 4), ('and', ('lying', 4), ('telling-truth', 4)), ('or', ('telling-truth', 4), ('lying', 0)), ('<=>', ('telling-truth', 2), ('telling-truth', 1)), ('not', ('lying', 1)))", "index": 705}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Emily, Avery, Riley, Victoria, and Jacob. In a statement by Emily: \"Victoria is not a knave\". Avery expressed that Jacob is a knave or Victoria is a knight. Riley asserted: \"Emily is a knight or Avery is a knight\". Victoria noted, \"Jacob is a knave if and only if Avery is a knight\". \"Victoria is a knave\" - Jacob. So who is a knight and who is a knave?", "names": ["Emily", "Avery", "Riley", "Victoria", "Jacob"], "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": "Emily is a knight, Avery is a knight, Riley is a knight, Victoria is a knight, and Jacob is a knave.", "solution_text_format": "(1) Emily is a knight\n(2) Avery is a knight\n(3) Riley is a knight\n(4) Victoria 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 Emily is a knight. No contradiction is found in their claim that Victoria is not a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that Jacob is a knave if and only if Avery is a knight.", "Jacob cannot be a knight, because this would contradict the claim of their own that Victoria is a knave.", "Assume Jacob is a knave. No contradiction is found in their false claim that Victoria is a knave.", "Assume Avery is a knight. No contradiction is found in their claim that Jacob is a knave or Victoria is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that Emily is a knight or Avery is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 3)), ('or', ('lying', 4), ('telling-truth', 3)), ('or', ('telling-truth', 0), ('telling-truth', 1)), ('<=>', ('lying', 4), ('telling-truth', 1)), ('lying', 3))", "index": 706}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Elizabeth, Oliver, Owen, Logan, and Riley. \"Logan is a knave or Oliver is a knight,\" Elizabeth claimed. Oliver said that Oliver is a knight. Owen said, \"Riley is not a knight.\" As Logan put it, \"Owen is a knight\". Riley noted, \"Logan is a knight and Oliver is a knave\". So who is a knight and who is a knave?", "names": ["Elizabeth", "Oliver", "Owen", "Logan", "Riley"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, false], "solution_text": "Elizabeth is a knight, Oliver is a knight, Owen is a knight, Logan is a knight, and Riley is a knave.", "solution_text_format": "(1) Elizabeth is a knight\n(2) Oliver is a knight\n(3) Owen is a knight\n(4) Logan is a knight\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 Elizabeth is a knight. No contradiction is found in their claim that Logan is a knave or Oliver is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that Owen is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that Riley is not a knight.", "Riley cannot be a knight, because this would contradict the claim of Owen that Riley is not a knight.", "Assume Riley is a knave. No contradiction is found in their false claim that Logan is a knight and Oliver is a knave.", "Assume Oliver is a knight. No contradiction is found in their claim that Oliver is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 3), ('telling-truth', 1)), ('telling-truth', 1), ('not', ('telling-truth', 4)), ('telling-truth', 2), ('and', ('telling-truth', 3), ('lying', 1)))", "index": 707}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Benjamin, Emily, Harper, Olivia, and Michael. Benjamin said that Emily is a knave if and only if Harper is a knave. Emily said, \"Olivia is a knight if and only if Olivia is a knave.\" Harper remarked, \"Emily is a knight or Emily is a knave\". According to Olivia, \"Harper is not a knave\". Michael asserted: \"Emily is a knave if and only if Olivia is a knave\". So who is a knight and who is a knave?", "names": ["Benjamin", "Emily", "Harper", "Olivia", "Michael"], "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": "Benjamin is a knave, Emily is a knave, Harper is a knight, Olivia is a knight, and Michael is a knave.", "solution_text_format": "(1) Benjamin is a knave\n(2) Emily is a knave\n(3) Harper is a knight\n(4) Olivia is a knight\n(5) Michael is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Benjamin is a knight. No contradiction is found in their claim that Emily is a knave if and only if Harper is a knave.", "Emily cannot be a knight, because this would contradict the claim of their own that Olivia is a knight if and only if Olivia is a knave.", "Assume Emily is a knave. No contradiction is found in their false claim that Olivia is a knight if and only if Olivia is a knave.", "Assume Olivia is a knight. No contradiction is found in their claim that Harper is not a knave.", "Harper cannot be a knight, because this would contradict the claim of Benjamin that Emily is a knave if and only if Harper is a knave.", "Harper 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 Harper, so let us go back and reconsider Olivia.", "Assume Olivia is a knave. No contradiction is found in their false claim that Harper is not a knave.", "Harper cannot be a knight, because this would contradict the claim of Benjamin that Emily is a knave if and only if Harper is a knave.", "Harper 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 Harper, Olivia, and Emily, so let us go back and reconsider Benjamin.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Emily is a knave if and only if Harper is a knave.", "Emily cannot be a knight, because this would contradict the claim of their own that Olivia is a knight if and only if Olivia is a knave.", "Assume Emily is a knave. No contradiction is found in their false claim that Olivia is a knight if and only if Olivia is a knave.", "Assume Olivia is a knight. No contradiction is found in their claim that Harper is not a knave.", "Assume Harper is a knight. No contradiction is found in their claim that Emily is a knight or Emily is a knave.", "Michael cannot be a knight, because this would contradict the claim of their own that Emily is a knave if and only if Olivia is a knave.", "Assume Michael is a knave. No contradiction is found in their false claim that Emily is a knave if and only if Olivia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('lying', 2)), ('<=>', ('telling-truth', 3), ('lying', 3)), ('or', ('telling-truth', 1), ('lying', 1)), ('not', ('lying', 2)), ('<=>', ('lying', 1), ('lying', 3)))", "index": 708}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Grace, Aiden, Noah, James, and Emma. \"If Grace is a knight then Emma is a knave,\" Grace declared. Aiden told you that If Noah is a knave then James is a knight. Noah said that Noah is a knight or Grace is a knave. \"Emma is not a knave,\" James declared. Emma said that Aiden is a knight. So who is a knight and who is a knave?", "names": ["Grace", "Aiden", "Noah", "James", "Emma"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false, false], "solution_text": "Grace is a knight, Aiden is a knave, Noah is a knave, James is a knave, and Emma is a knave.", "solution_text_format": "(1) Grace is a knight\n(2) Aiden is a knave\n(3) Noah is a knave\n(4) James is a knave\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 Grace is a knight. No contradiction is found in their claim that If Grace is a knight then Emma is a knave.", "Emma cannot be a knight, because this would contradict the claim of Grace that If Grace is a knight then Emma is a knave.", "Assume Emma is a knave. No contradiction is found in their false claim that Aiden is a knight.", "Aiden cannot be a knight, because this would contradict the false claim of Emma that Aiden is a knight.", "Assume Aiden is a knave. No contradiction is found in their false claim that If Noah is a knave then James is a knight.", "Noah cannot be a knight, because this would contradict the false claim of Aiden that If Noah is a knave then James is a knight.", "Assume Noah is a knave. No contradiction is found in their false claim that Noah is a knight or Grace is a knave.", "James cannot be a knight, because this would contradict the false claim of Aiden that If Noah is a knave then James is a knight.", "Assume James is a knave. No contradiction is found in their false claim that Emma is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 0), ('lying', 4)), ('->', ('lying', 2), ('telling-truth', 3)), ('or', ('telling-truth', 2), ('lying', 0)), ('not', ('lying', 4)), ('telling-truth', 1))", "index": 709}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Zoey, Lucas, Sebastian, Isabella, and Olivia. Zoey stated, \"If Lucas is a knave then Sebastian is a knave\". Lucas commented, \"Isabella is a knave if and only if Olivia is a knight\". Sebastian asserted: \"If Lucas is a knight then Olivia is a knight\". \"Zoey is a knight,\" Isabella mentioned. Olivia commented, \"Lucas is not a knave\". So who is a knight and who is a knave?", "names": ["Zoey", "Lucas", "Sebastian", "Isabella", "Olivia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false, false], "solution_text": "Zoey is a knave, Lucas is a knave, Sebastian is a knight, Isabella is a knave, and Olivia is a knave.", "solution_text_format": "(1) Zoey is a knave\n(2) Lucas is a knave\n(3) Sebastian is a knight\n(4) Isabella is a knave\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 Zoey is a knight. No contradiction is found in their claim that If Lucas is a knave then Sebastian is a knave.", "Assume Lucas is a knight. No contradiction is found in their claim that Isabella is a knave if and only if Olivia is a knight.", "Assume Isabella is a knight. No contradiction is found in their claim that Zoey is a knight.", "Olivia cannot be a knight, because this would contradict the claim of Lucas that Isabella is a knave if and only if Olivia is a knight.", "Olivia cannot be a knave, because this would contradict the false claim of their own that Lucas is not a knave.", "We have exhausted all possibilities for Olivia, so let us go back and reconsider Isabella.", "Isabella cannot be a knave, because this would contradict the false claim of their own that Zoey is a knight.", "We have exhausted all possibilities for Isabella, so let us go back and reconsider Lucas.", "Assume Lucas is a knave. No contradiction is found in their false claim that Isabella is a knave if and only if Olivia is a knight.", "Assume Isabella is a knight. No contradiction is found in their claim that Zoey is a knight.", "Olivia cannot be a knight, because this would contradict the claim of their own that Lucas is not a knave.", "Olivia cannot be a knave, because this would contradict the false claim of Lucas that Isabella is a knave if and only if Olivia is a knight.", "We have exhausted all possibilities for Olivia, so let us go back and reconsider Isabella.", "Isabella cannot be a knave, because this would contradict the false claim of their own that Zoey is a knight.", "We have exhausted all possibilities for Isabella and Lucas, so let us go back and reconsider Zoey.", "Assume Zoey is a knave. No contradiction is found in their false claim that If Lucas is a knave then Sebastian is a knave.", "Lucas cannot be a knight, because this would contradict the false claim of Zoey that If Lucas is a knave then Sebastian is a knave.", "Assume Lucas is a knave. No contradiction is found in their false claim that Isabella is a knave if and only if Olivia is a knight.", "Isabella cannot be a knight, because this would contradict the claim of their own that Zoey is a knight.", "Assume Isabella is a knave. No contradiction is found in their false claim that Zoey is a knight.", "Olivia cannot be a knight, because this would contradict the false claim of Lucas that Isabella is a knave if and only if Olivia is a knight.", "Assume Olivia is a knave. No contradiction is found in their false claim that Lucas is not a knave.", "Assume Sebastian is a knight. No contradiction is found in their claim that If Lucas is a knight then Olivia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 1), ('lying', 2)), ('<=>', ('lying', 3), ('telling-truth', 4)), ('->', ('telling-truth', 1), ('telling-truth', 4)), ('telling-truth', 0), ('not', ('lying', 1)))", "index": 710}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: David, Aria, Michael, Jack, and Emma. \"Emma is a knave and Michael is a knave,\" David claimed. \"Michael is a knave or Michael is a knight\" - Aria. Michael was heard saying, \"If Jack is a knight then Emma is a knight\". As Jack put it, \"If Emma is a knave then David is a knave\". Emma stated, \"Aria is not a knave\". So who is a knight and who is a knave?", "names": ["David", "Aria", "Michael", "Jack", "Emma"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, true], "solution_text": "David is a knave, Aria is a knight, Michael is a knight, Jack is a knight, and Emma is a knight.", "solution_text_format": "(1) David is a knave\n(2) Aria is a knight\n(3) Michael is a knight\n(4) Jack 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 David is a knight. No contradiction is found in their claim that Emma is a knave and Michael is a knave.", "Emma cannot be a knight, because this would contradict the claim of David that Emma is a knave and Michael is a knave.", "Assume Emma is a knave. No contradiction is found in their false claim that Aria is not a knave.", "Aria cannot be a knight, because this would contradict the false claim of Emma that Aria is not a knave.", "Aria cannot be a knave, because this would contradict the false claim of their own that Michael is a knave or Michael is a knight.", "We have exhausted all possibilities for Aria and Emma, so let us go back and reconsider David.", "Assume David is a knave. No contradiction is found in their false claim that Emma is a knave and Michael is a knave.", "Assume Emma is a knight. No contradiction is found in their claim that Aria is not a knave.", "Assume Aria is a knight. No contradiction is found in their claim that Michael is a knave or Michael is a knight.", "Assume Michael is a knight. No contradiction is found in their claim that If Jack is a knight then Emma is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that If Emma is a knave then David is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 4), ('lying', 2)), ('or', ('lying', 2), ('telling-truth', 2)), ('->', ('telling-truth', 3), ('telling-truth', 4)), ('->', ('lying', 4), ('lying', 0)), ('not', ('lying', 1)))", "index": 711}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Emily, Henry, Sofia, Aria, and Jack. \"Henry is a knight or Aria is a knave,\" Emily declared. \"If Henry is a knight then Jack is a knight,\" Henry declared. \"Henry is a knight if and only if Aria is a knight,\" Sofia claimed. According to Aria, \"Emily is a knave if and only if Henry is a knight\". Jack expressed that Aria is not a knight. So who is a knight and who is a knave?", "names": ["Emily", "Henry", "Sofia", "Aria", "Jack"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false, true], "solution_text": "Emily is a knight, Henry is a knight, Sofia is a knave, Aria is a knave, and Jack is a knight.", "solution_text_format": "(1) Emily is a knight\n(2) Henry is a knight\n(3) Sofia is a knave\n(4) Aria is a knave\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 Emily is a knight. No contradiction is found in their claim that Henry is a knight or Aria is a knave.", "Assume Henry is a knight. No contradiction is found in their claim that If Henry is a knight then Jack is a knight.", "Assume Jack 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 their own that Emily is a knave if and only if Henry is a knight.", "Assume Aria is a knave. No contradiction is found in their false claim that Emily is a knave if and only if Henry is a knight.", "Sofia cannot be a knight, because this would contradict the claim of their own that Henry is a knight if and only if Aria is a knight.", "Assume Sofia is a knave. No contradiction is found in their false claim that Henry is a knight if and only if Aria is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 1), ('lying', 3)), ('->', ('telling-truth', 1), ('telling-truth', 4)), ('<=>', ('telling-truth', 1), ('telling-truth', 3)), ('<=>', ('lying', 0), ('telling-truth', 1)), ('not', ('telling-truth', 3)))", "index": 712}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Chloe, Benjamin, Daniel, Jack, and Amelia. Chloe asserted: \"Daniel is a knave\". Benjamin asserted: \"Amelia is a knight or Chloe is a knight\". \"Benjamin is a knight and Amelia is a knight\" - Daniel. Jack commented, \"Daniel is not a knave\". Amelia stated, \"Jack is a knave if and only if Jack is a knight\". So who is a knight and who is a knave?", "names": ["Chloe", "Benjamin", "Daniel", "Jack", "Amelia"], "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": "Chloe is a knight, Benjamin is a knight, Daniel is a knave, Jack is a knave, and Amelia is a knave.", "solution_text_format": "(1) Chloe is a knight\n(2) Benjamin is a knight\n(3) Daniel is a knave\n(4) Jack 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 Chloe 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 Chloe that Daniel is a knave.", "Assume Daniel is a knave. No contradiction is found in their false claim that Benjamin is a knight and Amelia is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that Amelia is a knight or Chloe is a knight.", "Amelia cannot be a knight, because this would contradict the false claim of Daniel that Benjamin is a knight and Amelia is a knight.", "Assume Amelia is a knave. No contradiction is found in their false claim that Jack is a knave if and only if Jack is a knight.", "Jack cannot be a knight, because this would contradict the claim of their own that Daniel is not a knave.", "Assume Jack is a knave. No contradiction is found in their false claim that Daniel is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 2), ('or', ('telling-truth', 4), ('telling-truth', 0)), ('and', ('telling-truth', 1), ('telling-truth', 4)), ('not', ('lying', 2)), ('<=>', ('lying', 3), ('telling-truth', 3)))", "index": 713}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Jack, Liam, Avery, Aurora, and Owen. Jack said, \"Avery is not a knave.\" Liam was heard saying, \"Owen is a knave or Aurora is a knave\". According to Avery, \"Liam is not a knave\". Aurora told you that If Owen is a knight then Liam is a knight. Owen said, \"Aurora is not a knight.\" So who is a knight and who is a knave?", "names": ["Jack", "Liam", "Avery", "Aurora", "Owen"], "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": "Jack is a knight, Liam is a knight, Avery is a knight, Aurora is a knight, and Owen is a knave.", "solution_text_format": "(1) Jack is a knight\n(2) Liam is a knight\n(3) Avery is a knight\n(4) Aurora is a knight\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 Jack is a knight. No contradiction is found in their claim that Avery is not a knave.", "Assume Avery is a knight. No contradiction is found in their claim that Liam is not a knave.", "Assume Liam is a knight. No contradiction is found in their claim that Owen is a knave or Aurora is a knave.", "Assume Owen is a knight. No contradiction is found in their claim that Aurora is not a knight.", "Aurora cannot be a knight, because this would contradict the claim of Liam that Owen is a knave or Aurora is a knave.", "Aurora cannot be a knave, because this would contradict the false claim of their own that If Owen is a knight then Liam is a knight.", "We have exhausted all possibilities for Aurora, so let us go back and reconsider Owen.", "Assume Owen is a knave. No contradiction is found in their false claim that Aurora is not a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that If Owen is a knight then Liam is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 2)), ('or', ('lying', 4), ('lying', 3)), ('not', ('lying', 1)), ('->', ('telling-truth', 4), ('telling-truth', 1)), ('not', ('telling-truth', 3)))", "index": 714}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aiden, Mason, Riley, Luke, and Aria. Aiden said that Luke is not a knave. Mason stated, \"Aiden is a knave and Riley is a knight\". \"Aria is a knave,\" Riley declared. In Luke's words: \"Aiden is a knave or Mason is a knave\". According to Aria, \"Aiden is a knight if and only if Luke is a knight\". So who is a knight and who is a knave?", "names": ["Aiden", "Mason", "Riley", "Luke", "Aria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, true], "solution_text": "Aiden is a knight, Mason is a knave, Riley is a knave, Luke is a knight, and Aria is a knight.", "solution_text_format": "(1) Aiden is a knight\n(2) Mason is a knave\n(3) Riley is a knave\n(4) Luke 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 Aiden is a knight. No contradiction is found in their claim that Luke is not a knave.", "Assume Luke is a knight. No contradiction is found in their claim that Aiden is a knave or Mason is a knave.", "Mason cannot be a knight, because this would contradict the claim of their own that Aiden is a knave and Riley is a knight.", "Assume Mason is a knave. No contradiction is found in their false claim that Aiden is a knave and Riley is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that Aria is a knave.", "Aria cannot be a knight, because this would contradict the claim of Riley that Aria is a knave.", "Aria cannot be a knave, because this would contradict the false claim of their own that Aiden is a knight if and only if Luke is a knight.", "We have exhausted all possibilities for Aria, so let us go back and reconsider Riley.", "Assume Riley is a knave. No contradiction is found in their false claim that Aria is a knave.", "Assume Aria is a knight. No contradiction is found in their claim that Aiden is a knight if and only if Luke is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 3)), ('and', ('lying', 0), ('telling-truth', 2)), ('lying', 4), ('or', ('lying', 0), ('lying', 1)), ('<=>', ('telling-truth', 0), ('telling-truth', 3)))", "index": 715}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Zoey, Scarlett, Henry, James, and Aiden. Zoey said, \"James is a knave and James is a knight.\" \"Henry is a knave and James is a knave,\" Scarlett mentioned. Henry noted, \"Henry is a knight or James is a knave\". \"Zoey is a knight if and only if Aiden is a knave\" - James. According to Aiden, \"If Scarlett is a knave then Henry is a knight\". So who is a knight and who is a knave?", "names": ["Zoey", "Scarlett", "Henry", "James", "Aiden"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true, true], "solution_text": "Zoey is a knave, Scarlett is a knave, Henry is a knight, James is a knight, and Aiden is a knight.", "solution_text_format": "(1) Zoey is a knave\n(2) Scarlett is a knave\n(3) Henry is a knight\n(4) James 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": ["Zoey cannot be a knight, because this would contradict the claim of their own that James is a knave and James is a knight.", "Assume Zoey is a knave. No contradiction is found in their false claim that James is a knave and James is a knight.", "Assume James is a knight. No contradiction is found in their claim that Zoey is a knight if and only if Aiden is a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that If Scarlett is a knave then Henry is a knight.", "Scarlett cannot be a knight, because this would contradict the claim of their own that Henry is a knave and James is a knave.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Henry is a knave and James is a knave.", "Assume Henry is a knight. No contradiction is found in their claim that Henry is a knight or James is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 3), ('telling-truth', 3)), ('and', ('lying', 2), ('lying', 3)), ('or', ('telling-truth', 2), ('lying', 3)), ('<=>', ('telling-truth', 0), ('lying', 4)), ('->', ('lying', 1), ('telling-truth', 2)))", "index": 716}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Alexander, Lily, Aria, Ella, and Zoey. \"Lily is a knight\" - Alexander. Lily noted, \"Zoey is a knave\". According to Aria, \"Ella is not a knave\". Ella said that Aria is a knave and Ella is a knight. Zoey remarked, \"If Ella is a knight then Alexander is a knave\". So who is a knight and who is a knave?", "names": ["Alexander", "Lily", "Aria", "Ella", "Zoey"], "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": "Alexander is a knave, Lily is a knave, Aria is a knave, Ella is a knave, and Zoey is a knight.", "solution_text_format": "(1) Alexander is a knave\n(2) Lily is a knave\n(3) Aria is a knave\n(4) Ella 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 Alexander is a knight. No contradiction is found in their claim that Lily is a knight.", "Assume Lily is a knight. No contradiction is found in their claim that Zoey is a knave.", "Zoey cannot be a knight, because this would contradict the claim of Lily that Zoey is a knave.", "Assume Zoey is a knave. No contradiction is found in their false claim that If Ella is a knight then Alexander is a knave.", "Assume Ella is a knight. No contradiction is found in their claim that Aria is a knave and Ella is a knight.", "Aria cannot be a knight, because this would contradict the claim of Ella that Aria is a knave and Ella is a knight.", "Aria cannot be a knave, because this would contradict the false claim of their own that Ella is not a knave.", "We have exhausted all possibilities for Aria, so let us go back and reconsider Ella.", "Ella cannot be a knave, because this would contradict the false claim of Zoey that If Ella is a knight then Alexander is a knave.", "We have exhausted all possibilities for Ella and Zoey, so let us go back and reconsider Lily.", "Lily cannot be a knave, because this would contradict the claim of Alexander that Lily is a knight.", "We have exhausted all possibilities for Lily, so let us go back and reconsider Alexander.", "Assume Alexander is a knave. No contradiction is found in their false claim that Lily is a knight.", "Lily cannot be a knight, because this would contradict the false claim of Alexander that Lily is a knight.", "Assume Lily is a knave. No contradiction is found in their false claim that Zoey is a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that If Ella is a knight then Alexander is a knave.", "Assume Ella is a knight. No contradiction is found in their claim that Aria is a knave and Ella is a knight.", "Aria cannot be a knight, because this would contradict the claim of Ella that Aria is a knave and Ella is a knight.", "Aria cannot be a knave, because this would contradict the false claim of their own that Ella is not a knave.", "We have exhausted all possibilities for Aria, so let us go back and reconsider Ella.", "Assume Ella is a knave. No contradiction is found in their false claim that Aria is a knave and Ella is a knight.", "Aria cannot be a knight, because this would contradict the claim of their own that Ella is not a knave.", "Assume Aria 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": "(('telling-truth', 1), ('lying', 4), ('not', ('lying', 3)), ('and', ('lying', 2), ('telling-truth', 3)), ('->', ('telling-truth', 3), ('lying', 0)))", "index": 717}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Luke, Aria, Mia, Ella, and Chloe. Luke was heard saying, \"Mia is a knight and Mia is a knave\". Aria noted, \"Mia is not a knave\". \"Aria is a knight if and only if Aria is a knave,\" Mia claimed. Ella said that Mia is a knight or Luke is a knight. Chloe asserted: \"Aria is a knight\". So who is a knight and who is a knave?", "names": ["Luke", "Aria", "Mia", "Ella", "Chloe"], "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": "Luke is a knave, Aria is a knave, Mia is a knave, Ella is a knave, and Chloe is a knave.", "solution_text_format": "(1) Luke is a knave\n(2) Aria is a knave\n(3) Mia is a knave\n(4) Ella is a knave\n(5) Chloe is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Luke cannot be a knight, because this would contradict the claim of their own that Mia is a knight and Mia is a knave.", "Assume Luke is a knave. No contradiction is found in their false claim that Mia is a knight and Mia is a knave.", "Mia cannot be a knight, because this would contradict the claim of their own that Aria is a knight if and only if Aria is a knave.", "Assume Mia is a knave. No contradiction is found in their false claim that Aria is a knight if and only if Aria is a knave.", "Aria cannot be a knight, because this would contradict the claim of their own that Mia is not a knave.", "Assume Aria is a knave. No contradiction is found in their false claim that Mia is not a knave.", "Ella cannot be a knight, because this would contradict the claim of their own that Mia is a knight or Luke is a knight.", "Assume Ella is a knave. No contradiction is found in their false claim that Mia is a knight or Luke is a knight.", "Chloe cannot be a knight, because this would contradict the claim of their own that Aria is a knight.", "Assume Chloe is a knave. No contradiction is found in their false claim that Aria is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 2), ('lying', 2)), ('not', ('lying', 2)), ('<=>', ('telling-truth', 1), ('lying', 1)), ('or', ('telling-truth', 2), ('telling-truth', 0)), ('telling-truth', 1))", "index": 718}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Victoria, Mason, James, Jackson, and Riley. \"Mason is a knight if and only if Jackson is a knave\" - Victoria. As Mason put it, \"Riley is a knave or Riley is a knight\". James noted, \"Mason is a knight if and only if Riley is a knight\". Jackson expressed that James is a knave or Riley is a knight. \"Mason is a knight,\" Riley declared. So who is a knight and who is a knave?", "names": ["Victoria", "Mason", "James", "Jackson", "Riley"], "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": "Victoria is a knave, Mason is a knight, James is a knight, Jackson is a knight, and Riley is a knight.", "solution_text_format": "(1) Victoria is a knave\n(2) Mason is a knight\n(3) James is a knight\n(4) Jackson 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 Victoria is a knight. No contradiction is found in their claim that Mason is a knight if and only if Jackson is a knave.", "Assume Mason is a knight. No contradiction is found in their claim that Riley is a knave or Riley is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that Mason is a knight.", "Jackson cannot be a knight, because this would contradict the claim of Victoria that Mason is a knight if and only if Jackson is a knave.", "Jackson cannot be a knave, because this would contradict the false claim of their own that James is a knave or Riley is a knight.", "We have exhausted all possibilities for Jackson, so let us go back and reconsider Riley.", "Riley cannot be a knave, because this would contradict the false claim of their own that Mason is a knight.", "We have exhausted all possibilities for Riley, so let us go back and reconsider Mason.", "Mason cannot be a knave, because this would contradict the false claim of their own that Riley is a knave or Riley is a knight.", "We have exhausted all possibilities for Mason, so let us go back and reconsider Victoria.", "Assume Victoria is a knave. No contradiction is found in their false claim that Mason is a knight if and only if Jackson is a knave.", "Assume Mason is a knight. No contradiction is found in their claim that Riley is a knave or Riley is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that Mason is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that James is a knave or Riley is a knight.", "Assume James is a knight. No contradiction is found in their claim that Mason is a knight if and only if Riley is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('lying', 3)), ('or', ('lying', 4), ('telling-truth', 4)), ('<=>', ('telling-truth', 1), ('telling-truth', 4)), ('or', ('lying', 2), ('telling-truth', 4)), ('telling-truth', 1))", "index": 719}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Daniel, Aria, David, Sophia, and Chloe. In Daniel's words: \"Sophia is not a knave\". Aria was heard saying, \"If Aria is a knight then Sophia is a knight\". \"Sophia is a knight and Daniel is a knight,\" David mentioned. \"Aria is a knight,\" Sophia mentioned. \"Sophia is a knight and Aria is a knight,\" Chloe declared. So who is a knight and who is a knave?", "names": ["Daniel", "Aria", "David", "Sophia", "Chloe"], "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, Aria is a knight, David is a knight, Sophia is a knight, and Chloe is a knight.", "solution_text_format": "(1) Daniel is a knight\n(2) Aria is a knight\n(3) David is a knight\n(4) Sophia is a knight\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 Daniel is a knight. No contradiction is found in their claim that Sophia is not a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that Aria is a knight.", "Assume Aria is a knight. No contradiction is found in their claim that If Aria is a knight then Sophia is a knight.", "Assume David is a knight. No contradiction is found in their claim that Sophia is a knight and Daniel is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that Sophia is a knight and Aria is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 3)), ('->', ('telling-truth', 1), ('telling-truth', 3)), ('and', ('telling-truth', 3), ('telling-truth', 0)), ('telling-truth', 1), ('and', ('telling-truth', 3), ('telling-truth', 1)))", "index": 720}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Sofia, Victoria, Luke, Isabella, and Ethan. \"Luke is a knave,\" Sofia declared. Victoria said that Luke is not a knight. Luke expressed that Sofia is a knight and Ethan is a knave. \"Luke is not a knave,\" Isabella claimed. In Ethan's words: \"Victoria is a knight\". So who is a knight and who is a knave?", "names": ["Sofia", "Victoria", "Luke", "Isabella", "Ethan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false, true], "solution_text": "Sofia is a knight, Victoria is a knight, Luke is a knave, Isabella is a knave, and Ethan is a knight.", "solution_text_format": "(1) Sofia is a knight\n(2) Victoria is a knight\n(3) Luke is a knave\n(4) Isabella is a knave\n(5) 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 Sofia is a knight. No contradiction is found in their claim that Luke is a knave.", "Luke cannot be a knight, because this would contradict the claim of Sofia that Luke is a knave.", "Assume Luke is a knave. No contradiction is found in their false claim that Sofia is a knight and Ethan is a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that Victoria is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that Luke is not a knight.", "Isabella cannot be a knight, because this would contradict the claim of their own that Luke is not a knave.", "Assume Isabella is a knave. No contradiction is found in their false claim that Luke is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 2), ('not', ('telling-truth', 2)), ('and', ('telling-truth', 0), ('lying', 4)), ('not', ('lying', 2)), ('telling-truth', 1))", "index": 721}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: James, Aurora, Oliver, Alexander, and Ava. As James put it, \"If Ava is a knave then Aurora is a knight\". Aurora remarked, \"Alexander is a knight if and only if Oliver is a knight\". \"Alexander is not a knave,\" Oliver claimed. Alexander expressed that James is a knight or Alexander is a knight. \"Aurora is not a knave,\" Ava mentioned. So who is a knight and who is a knave?", "names": ["James", "Aurora", "Oliver", "Alexander", "Ava"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, true], "solution_text": "James is a knight, Aurora is a knight, Oliver is a knight, Alexander is a knight, and Ava is a knight.", "solution_text_format": "(1) James is a knight\n(2) Aurora is a knight\n(3) Oliver is a knight\n(4) Alexander 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 James is a knight. No contradiction is found in their claim that If Ava is a knave then Aurora is a knight.", "Assume Ava is a knight. No contradiction is found in their claim that Aurora is not a knave.", "Assume Aurora is a knight. No contradiction is found in their claim that Alexander is a knight if and only if Oliver is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that James is a knight or Alexander is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that Alexander is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 4), ('telling-truth', 1)), ('<=>', ('telling-truth', 3), ('telling-truth', 2)), ('not', ('lying', 3)), ('or', ('telling-truth', 0), ('telling-truth', 3)), ('not', ('lying', 1)))", "index": 722}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Samuel, Grace, Liam, David, and Sebastian. Samuel asserted: \"Grace is a knave if and only if Liam is a knight\". Grace remarked, \"Samuel is a knave or Samuel is a knight\". As Liam put it, \"Grace is not a knight\". David said, \"Grace is a knight and Samuel is a knave.\" Sebastian remarked, \"If Grace is a knight then Samuel is a knave\". So who is a knight and who is a knave?", "names": ["Samuel", "Grace", "Liam", "David", "Sebastian"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false, false], "solution_text": "Samuel is a knight, Grace is a knight, Liam is a knave, David is a knave, and Sebastian is a knave.", "solution_text_format": "(1) Samuel is a knight\n(2) Grace is a knight\n(3) Liam is a knave\n(4) David is a knave\n(5) Sebastian is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Samuel is a knight. No contradiction is found in their claim that Grace is a knave if and only if Liam is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that Samuel is a knave or Samuel is a knight.", "Liam cannot be a knight, because this would contradict the claim of Samuel that Grace is a knave if and only if Liam is a knight.", "Assume Liam is a knave. No contradiction is found in their false claim that Grace is not a knight.", "David cannot be a knight, because this would contradict the claim of their own that Grace is a knight and Samuel is a knave.", "Assume David is a knave. No contradiction is found in their false claim that Grace is a knight and Samuel is a knave.", "Sebastian cannot be a knight, because this would contradict the claim of their own that If Grace is a knight then Samuel is a knave.", "Assume Sebastian is a knave. No contradiction is found in their false claim that If Grace is a knight then Samuel is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('telling-truth', 2)), ('or', ('lying', 0), ('telling-truth', 0)), ('not', ('telling-truth', 1)), ('and', ('telling-truth', 1), ('lying', 0)), ('->', ('telling-truth', 1), ('lying', 0)))", "index": 723}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Luke, Matthew, Noah, Oliver, and Aiden. As Luke put it, \"Matthew is a knight\". Matthew said, \"If Matthew is a knight then Aiden is a knight.\" As Noah put it, \"Oliver is a knight or Aiden is a knight\". In a statement by Oliver: \"Matthew is a knave or Noah is a knight\". Aiden commented, \"Luke is a knight if and only if Oliver is a knight\". So who is a knight and who is a knave?", "names": ["Luke", "Matthew", "Noah", "Oliver", "Aiden"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, true], "solution_text": "Luke is a knight, Matthew is a knight, Noah is a knight, Oliver is a knight, and Aiden is a knight.", "solution_text_format": "(1) Luke is a knight\n(2) Matthew is a knight\n(3) Noah is a knight\n(4) Oliver 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 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 Matthew is a knight then Aiden is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that Luke is a knight if and only if Oliver is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that Matthew is a knave or Noah is a knight.", "Assume Noah is a knight. No contradiction is found in their claim that Oliver is a knight or Aiden is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 1), ('->', ('telling-truth', 1), ('telling-truth', 4)), ('or', ('telling-truth', 3), ('telling-truth', 4)), ('or', ('lying', 1), ('telling-truth', 2)), ('<=>', ('telling-truth', 0), ('telling-truth', 3)))", "index": 724}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Sofia, Alexander, Jacob, Benjamin, and Harper. Sofia remarked, \"Harper is a knave if and only if Harper is a knight\". Alexander told you that Sofia is a knight or Benjamin is a knave. Jacob said, \"Benjamin is a knight.\" \"Jacob is a knave if and only if Benjamin is a knight\" - Benjamin. Harper was heard saying, \"Sofia is a knave\". So who is a knight and who is a knave?", "names": ["Sofia", "Alexander", "Jacob", "Benjamin", "Harper"], "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": "Sofia is a knave, Alexander is a knight, Jacob is a knave, Benjamin is a knave, and Harper is a knight.", "solution_text_format": "(1) Sofia is a knave\n(2) Alexander is a knight\n(3) Jacob is a knave\n(4) Benjamin is a knave\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": ["Sofia cannot be a knight, because this would contradict the claim of their own that Harper is a knave if and only if Harper is a knight.", "Assume Sofia is a knave. No contradiction is found in their false claim that Harper is a knave if and only if Harper is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that Sofia is a knave.", "Assume Alexander is a knight. No contradiction is found in their claim that Sofia is a knight or Benjamin is a knave.", "Benjamin cannot be a knight, because this would contradict the claim of Alexander that Sofia is a knight or Benjamin is a knave.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Jacob is a knave if and only if Benjamin is a knight.", "Jacob cannot be a knight, because this would contradict the claim of their own that Benjamin is a knight.", "Assume Jacob is a knave. No contradiction is found in their false claim that Benjamin is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 4), ('telling-truth', 4)), ('or', ('telling-truth', 0), ('lying', 3)), ('telling-truth', 3), ('<=>', ('lying', 2), ('telling-truth', 3)), ('lying', 0))", "index": 725}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Mia, Joseph, Amelia, Jacob, and Penelope. Mia said that Joseph is not a knight. According to Joseph, \"Jacob is a knight and Amelia is a knight\". Amelia was heard saying, \"Jacob is not a knave\". According to Jacob, \"Mia is a knight or Amelia is a knight\". Penelope stated, \"Amelia is not a knave\". So who is a knight and who is a knave?", "names": ["Mia", "Joseph", "Amelia", "Jacob", "Penelope"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, true], "solution_text": "Mia is a knave, Joseph is a knight, Amelia is a knight, Jacob is a knight, and Penelope is a knight.", "solution_text_format": "(1) Mia is a knave\n(2) Joseph is a knight\n(3) Amelia is a knight\n(4) Jacob is a knight\n(5) Penelope is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Mia is a knight. No contradiction is found in their claim that Joseph is not a knight.", "Joseph cannot be a knight, because this would contradict the claim of Mia that Joseph is not a knight.", "Assume Joseph is a knave. No contradiction is found in their false claim that Jacob is a knight and Amelia is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that Mia is a knight or Amelia is a knight.", "Amelia cannot be a knight, because this would contradict the false claim of Joseph that Jacob is a knight and Amelia is a knight.", "Amelia cannot be a knave, because this would contradict the false claim of their own that Jacob is not a knave.", "We have exhausted all possibilities for Amelia, so let us go back and reconsider Jacob.", "Jacob cannot be a knave, because this would contradict the false claim of their own that Mia is a knight or Amelia is a knight.", "We have exhausted all possibilities for Jacob and Joseph, so let us go back and reconsider Mia.", "Assume Mia is a knave. No contradiction is found in their false claim that Joseph is not a knight.", "Assume Joseph is a knight. No contradiction is found in their claim that Jacob is a knight and Amelia is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that Mia is a knight or Amelia is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that Jacob is not a knave.", "Assume Penelope is a knight. No contradiction is found in their claim that Amelia is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('and', ('telling-truth', 3), ('telling-truth', 2)), ('not', ('lying', 3)), ('or', ('telling-truth', 0), ('telling-truth', 2)), ('not', ('lying', 2)))", "index": 726}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Jack, Logan, Emma, Victoria, and Michael. \"Victoria is a knight and Michael is a knight,\" Jack mentioned. Logan stated, \"Victoria is a knight and Logan is a knight\". In a statement by Emma: \"If Victoria is a knave then Michael is a knight\". In Victoria's words: \"Michael is a knight or Emma is a knave\". Michael told you that Logan is a knight and Jack is a knight. So who is a knight and who is a knave?", "names": ["Jack", "Logan", "Emma", "Victoria", "Michael"], "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": "Jack is a knight, Logan is a knight, Emma is a knight, Victoria is a knight, and Michael is a knight.", "solution_text_format": "(1) Jack is a knight\n(2) Logan is a knight\n(3) Emma is a knight\n(4) Victoria is a knight\n(5) Michael is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jack is a knight. No contradiction is found in their claim that Victoria is a knight and Michael is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that Michael is a knight or Emma is a knave.", "Assume Michael is a knight. No contradiction is found in their claim that Logan is a knight and Jack is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that Victoria is a knight and Logan is a knight.", "Assume Emma is a knight. No contradiction is found in their claim that If Victoria is a knave then Michael is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 3), ('telling-truth', 4)), ('and', ('telling-truth', 3), ('telling-truth', 1)), ('->', ('lying', 3), ('telling-truth', 4)), ('or', ('telling-truth', 4), ('lying', 2)), ('and', ('telling-truth', 1), ('telling-truth', 0)))", "index": 727}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Mia, Oliver, Avery, Sophia, and Lucas. Mia said, \"If Sophia is a knight then Oliver is a knave.\" Oliver said, \"If Mia is a knight then Avery is a knave.\" Avery asserted: \"Mia is not a knight\". \"Lucas is a knight if and only if Oliver is a knight,\" Sophia declared. \"Oliver is a knight or Lucas is a knight,\" Lucas claimed. So who is a knight and who is a knave?", "names": ["Mia", "Oliver", "Avery", "Sophia", "Lucas"], "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": "Mia is a knave, Oliver is a knight, Avery is a knight, Sophia is a knight, and Lucas is a knight.", "solution_text_format": "(1) Mia is a knave\n(2) Oliver is a knight\n(3) Avery is a knight\n(4) Sophia is a knight\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 Mia is a knight. No contradiction is found in their claim that If Sophia is a knight then Oliver is a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that Lucas is a knight if and only if Oliver is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that Oliver is a knight or Lucas is a knight.", "Oliver cannot be a knight, because this would contradict the claim of Mia that If Sophia is a knight then Oliver is a knave.", "Oliver cannot be a knave, because this would contradict the claim of Sophia that Lucas is a knight if and only if Oliver is a knight.", "We have exhausted all possibilities for Oliver, so let us go back and reconsider Lucas.", "Assume Lucas is a knave. No contradiction is found in their false claim that Oliver is a knight or Lucas is a knight.", "Oliver cannot be a knight, because this would contradict the claim of Mia that If Sophia is a knight then Oliver is a knave.", "Assume Oliver is a knave. No contradiction is found in their false claim that If Mia is a knight then Avery is a knave.", "Avery cannot be a knight, because this would contradict the claim of their own that Mia is not a knight.", "Avery cannot be a knave, because this would contradict the false claim of Oliver that If Mia is a knight then Avery is a knave.", "We have exhausted all possibilities for Avery, Oliver, and Lucas, so let us go back and reconsider Sophia.", "Assume Sophia is a knave. No contradiction is found in their false claim that Lucas is a knight if and only if Oliver is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that Oliver is a knight or Lucas is a knight.", "Oliver cannot be a knight, because this would contradict the false claim of Sophia that Lucas is a knight if and only if Oliver is a knight.", "Assume Oliver is a knave. No contradiction is found in their false claim that If Mia is a knight then Avery is a knave.", "Avery cannot be a knight, because this would contradict the claim of their own that Mia is not a knight.", "Avery cannot be a knave, because this would contradict the false claim of Oliver that If Mia is a knight then Avery is a knave.", "We have exhausted all possibilities for Avery and Oliver, so let us go back and reconsider Lucas.", "Assume Lucas is a knave. No contradiction is found in their false claim that Oliver is a knight or Lucas is a knight.", "Oliver cannot be a knight, because this would contradict the false claim of Lucas that Oliver is a knight or Lucas is a knight.", "Oliver cannot be a knave, because this would contradict the false claim of Sophia that Lucas is a knight if and only if Oliver is a knight.", "We have exhausted all possibilities for Oliver, Lucas, and Sophia, so let us go back and reconsider Mia.", "Assume Mia is a knave. No contradiction is found in their false claim that If Sophia is a knight then Oliver is a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that Lucas is a knight if and only if Oliver is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that Oliver is a knight or Lucas is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that If Mia is a knight then Avery is a knave.", "Assume Avery is a knight. No contradiction is found in their claim that Mia is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 3), ('lying', 1)), ('->', ('telling-truth', 0), ('lying', 2)), ('not', ('telling-truth', 0)), ('<=>', ('telling-truth', 4), ('telling-truth', 1)), ('or', ('telling-truth', 1), ('telling-truth', 4)))", "index": 728}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aria, Emily, Aiden, Isabella, and Evelyn. Aria said, \"Isabella is a knight and Isabella is a knave.\" Emily stated, \"Aria is a knight if and only if Aiden is a knave\". Aiden commented, \"Emily is a knave and Aiden is a knight\". According to Isabella, \"Evelyn is a knave\". According to Evelyn, \"Aiden is a knight or Aria is a knight\". So who is a knight and who is a knave?", "names": ["Aria", "Emily", "Aiden", "Isabella", "Evelyn"], "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": "Aria is a knave, Emily is a knave, Aiden is a knave, Isabella is a knight, and Evelyn is a knave.", "solution_text_format": "(1) Aria is a knave\n(2) Emily is a knave\n(3) Aiden is a knave\n(4) Isabella is a knight\n(5) 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": ["Aria cannot be a knight, because this would contradict the claim of their own that Isabella is a knight and Isabella is a knave.", "Assume Aria is a knave. No contradiction is found in their false claim that Isabella is a knight and Isabella is a knave.", "Assume Isabella is a knight. No contradiction is found in their claim that Evelyn is a knave.", "Evelyn cannot be a knight, because this would contradict the claim of Isabella that Evelyn is a knave.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Aiden is a knight or Aria is a knight.", "Aiden cannot be a knight, because this would contradict the false claim of Evelyn that Aiden is a knight or Aria is a knight.", "Assume Aiden is a knave. No contradiction is found in their false claim that Emily is a knave and Aiden is a knight.", "Emily cannot be a knight, because this would contradict the claim of their own that Aria is a knight if and only if Aiden is a knave.", "Assume Emily is a knave. No contradiction is found in their false claim that Aria is a knight if and only if Aiden is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 3), ('lying', 3)), ('<=>', ('telling-truth', 0), ('lying', 2)), ('and', ('lying', 1), ('telling-truth', 2)), ('lying', 4), ('or', ('telling-truth', 2), ('telling-truth', 0)))", "index": 729}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Ethan, Liam, Jackson, Zoey, and Scarlett. \"Jackson is a knight,\" Ethan claimed. \"Ethan is not a knight,\" Liam mentioned. \"Scarlett is a knight and Zoey is a knave,\" Jackson claimed. Zoey expressed that Jackson is a knight. In a statement by Scarlett: \"If Ethan is a knave then Zoey is a knight\". So who is a knight and who is a knave?", "names": ["Ethan", "Liam", "Jackson", "Zoey", "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": "Ethan is a knave, Liam is a knight, Jackson is a knave, Zoey is a knave, and Scarlett is a knave.", "solution_text_format": "(1) Ethan is a knave\n(2) Liam is a knight\n(3) Jackson is a knave\n(4) Zoey 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 Ethan is a knight. No contradiction is found in their claim that Jackson is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that Scarlett is a knight and Zoey is a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that If Ethan is a knave then Zoey is a knight.", "Zoey cannot be a knight, because this would contradict the claim of Jackson that Scarlett is a knight and Zoey is a knave.", "Zoey cannot be a knave, because this would contradict the false claim of their own that Jackson is a knight.", "We have exhausted all possibilities for Zoey, so let us go back and reconsider Scarlett.", "Scarlett cannot be a knave, because this would contradict the claim of Jackson that Scarlett is a knight and Zoey is a knave.", "We have exhausted all possibilities for Scarlett, so let us go back and reconsider Jackson.", "Jackson cannot be a knave, because this would contradict the claim of Ethan that Jackson is a knight.", "We have exhausted all possibilities for Jackson, so let us go back and reconsider Ethan.", "Assume Ethan is a knave. No contradiction is found in their false claim that Jackson is a knight.", "Jackson cannot be a knight, because this would contradict the false claim of Ethan that Jackson is a knight.", "Assume Jackson is a knave. No contradiction is found in their false claim that Scarlett is a knight and Zoey is a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that If Ethan is a knave then Zoey is a knight.", "Zoey cannot be a knight, because this would contradict the claim of their own that Jackson is a knight.", "Zoey cannot be a knave, because this would contradict the false claim of Jackson that Scarlett is a knight and Zoey is a knave.", "We have exhausted all possibilities for Zoey, so let us go back and reconsider Scarlett.", "Assume Scarlett is a knave. No contradiction is found in their false claim that If Ethan is a knave then Zoey is a knight.", "Zoey cannot be a knight, because this would contradict the claim of their own that Jackson is a knight.", "Assume Zoey is a knave. No contradiction is found in their false claim that Jackson is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that Ethan is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 2), ('not', ('telling-truth', 0)), ('and', ('telling-truth', 4), ('lying', 3)), ('telling-truth', 2), ('->', ('lying', 0), ('telling-truth', 3)))", "index": 730}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Abigail, Daniel, Avery, Sophia, and Liam. Abigail asserted: \"Daniel is a knave and Daniel is a knight\". According to Daniel, \"Sophia is a knight or Avery is a knave\". Avery was heard saying, \"Liam is a knight\". Sophia said, \"If Abigail is a knight then Sophia is a knight.\" According to Liam, \"Abigail is a knave if and only if Sophia is a knave\". So who is a knight and who is a knave?", "names": ["Abigail", "Daniel", "Avery", "Sophia", "Liam"], "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": "Abigail is a knave, Daniel is a knight, Avery is a knave, Sophia is a knight, and Liam is a knave.", "solution_text_format": "(1) Abigail is a knave\n(2) Daniel is a knight\n(3) Avery is a knave\n(4) Sophia 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": ["Abigail cannot be a knight, because this would contradict the claim of their own that Daniel is a knave and Daniel is a knight.", "Assume Abigail is a knave. No contradiction is found in their false claim that Daniel is a knave and Daniel is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that Sophia is a knight or Avery is a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that If Abigail is a knight then Sophia is a knight.", "Assume Avery is a knight. No contradiction is found in their claim that Liam is a knight.", "Liam cannot be a knight, because this would contradict the claim of their own that Abigail is a knave if and only if Sophia is a knave.", "Liam cannot be a knave, because this would contradict the claim of Avery that Liam is a knight.", "We have exhausted all possibilities for Liam, so let us go back and reconsider Avery.", "Assume Avery is a knave. No contradiction is found in their false claim that Liam is a knight.", "Liam cannot be a knight, because this would contradict the false claim of Avery that Liam is a knight.", "Assume Liam is a knave. No contradiction is found in their false claim that Abigail is a knave if and only if Sophia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('telling-truth', 1)), ('or', ('telling-truth', 3), ('lying', 2)), ('telling-truth', 4), ('->', ('telling-truth', 0), ('telling-truth', 3)), ('<=>', ('lying', 0), ('lying', 3)))", "index": 731}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Luke, Elizabeth, Avery, Chloe, and Jacob. \"Luke is a knight if and only if Elizabeth is a knave,\" Luke declared. Elizabeth noted, \"If Luke is a knave then Jacob is a knight\". In Avery's words: \"If Jacob is a knave then Avery is a knight\". \"If Luke is a knave then Jacob is a knave,\" Chloe claimed. Jacob told you that Chloe is a knight if and only if Avery is a knight. So who is a knight and who is a knave?", "names": ["Luke", "Elizabeth", "Avery", "Chloe", "Jacob"], "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": "Luke is a knave, Elizabeth is a knave, Avery is a knave, Chloe is a knight, and Jacob is a knave.", "solution_text_format": "(1) Luke is a knave\n(2) Elizabeth is a knave\n(3) Avery is a knave\n(4) Chloe 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 Luke is a knight. No contradiction is found in their claim that Luke is a knight if and only if Elizabeth is a knave.", "Elizabeth cannot be a knight, because this would contradict the claim of Luke that Luke is a knight if and only if Elizabeth is a knave.", "Elizabeth cannot be a knave, because this would contradict the false claim of their own that If Luke is a knave then Jacob is a knight.", "We have exhausted all possibilities for Elizabeth, so let us go back and reconsider Luke.", "Assume Luke is a knave. No contradiction is found in their false claim that Luke is a knight if and only if Elizabeth is a knave.", "Elizabeth cannot be a knight, because this would contradict the false claim of Luke that Luke is a knight if and only if Elizabeth is a knave.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that If Luke is a knave then Jacob is a knight.", "Jacob cannot be a knight, because this would contradict the false claim of Elizabeth that If Luke is a knave then Jacob is a knight.", "Assume Jacob is a knave. No contradiction is found in their false claim that Chloe is a knight if and only if Avery is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that If Luke is a knave then Jacob is a knave.", "Avery cannot be a knight, because this would contradict the false claim of Jacob that Chloe is a knight if and only if Avery is a knight.", "Assume Avery is a knave. No contradiction is found in their false claim that If Jacob is a knave then Avery is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 0), ('lying', 1)), ('->', ('lying', 0), ('telling-truth', 4)), ('->', ('lying', 4), ('telling-truth', 2)), ('->', ('lying', 0), ('lying', 4)), ('<=>', ('telling-truth', 3), ('telling-truth', 2)))", "index": 732}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aiden, Scarlett, Owen, Emily, and David. Aiden said that Scarlett is a knight and Owen is a knave. Scarlett expressed that Owen is a knight and Aiden is a knave. Owen said, \"Aiden is a knight and Scarlett is a knave.\" Emily commented, \"David is a knave or Emily is a knight\". \"Aiden is a knight\" - David. So who is a knight and who is a knave?", "names": ["Aiden", "Scarlett", "Owen", "Emily", "David"], "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": "Aiden is a knave, Scarlett is a knave, Owen is a knave, Emily is a knight, and David is a knave.", "solution_text_format": "(1) Aiden is a knave\n(2) Scarlett is a knave\n(3) Owen is a knave\n(4) Emily is a knight\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 Aiden is a knight. No contradiction is found in their claim that Scarlett is a knight and Owen is a knave.", "Scarlett cannot be a knight, because this would contradict the claim of their own that Owen is a knight and Aiden is a knave.", "Scarlett cannot be a knave, because this would contradict the claim of Aiden that Scarlett is a knight and Owen is a knave.", "We have exhausted all possibilities for Scarlett, so let us go back and reconsider Aiden.", "Assume Aiden is a knave. No contradiction is found in their false claim that Scarlett is a knight and Owen is a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that Owen is a knight and Aiden is a knave.", "Owen cannot be a knight, because this would contradict the claim of their own that Aiden is a knight and Scarlett is a knave.", "Owen cannot be a knave, because this would contradict the false claim of Aiden that Scarlett is a knight and Owen is a knave.", "We have exhausted all possibilities for Owen, so let us go back and reconsider Scarlett.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Owen is a knight and Aiden is a knave.", "Owen cannot be a knight, because this would contradict the false claim of Scarlett that Owen is a knight and Aiden is a knave.", "Assume Owen is a knave. No contradiction is found in their false claim that Aiden is a knight and Scarlett is a knave.", "Assume Emily is a knight. No contradiction is found in their claim that David is a knave or Emily is a knight.", "David cannot be a knight, because this would contradict the claim of their own that Aiden is a knight.", "Assume David is a knave. No contradiction is found in their false claim that Aiden is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('lying', 2)), ('and', ('telling-truth', 2), ('lying', 0)), ('and', ('telling-truth', 0), ('lying', 1)), ('or', ('lying', 4), ('telling-truth', 3)), ('telling-truth', 0))", "index": 733}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aria, Logan, Matthew, Harper, and Samuel. \"Harper is a knight or Samuel is a knave,\" Aria declared. Logan commented, \"Harper is a knight\". \"If Samuel is a knight then Logan is a knight\" - Matthew. Harper told you that Harper is a knight. Samuel commented, \"Aria is not a knave\". So who is a knight and who is a knave?", "names": ["Aria", "Logan", "Matthew", "Harper", "Samuel"], "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": "Aria is a knight, Logan is a knight, Matthew is a knight, Harper is a knight, and Samuel is a knight.", "solution_text_format": "(1) Aria is a knight\n(2) Logan is a knight\n(3) Matthew is a knight\n(4) Harper is a knight\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 Aria is a knight. No contradiction is found in their claim that Harper is a knight or Samuel is a knave.", "Assume Harper is a knight. No contradiction is found in their claim that Harper is a knight.", "Assume Samuel is a knight. No contradiction is found in their claim that Aria is not a knave.", "Assume Logan is a knight. No contradiction is found in their claim that Harper is a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that If Samuel is a knight then Logan is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 3), ('lying', 4)), ('telling-truth', 3), ('->', ('telling-truth', 4), ('telling-truth', 1)), ('telling-truth', 3), ('not', ('lying', 0)))", "index": 734}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Liam, Emily, Jackson, Matthew, and Olivia. Liam stated, \"Matthew is a knave and Emily is a knight\". Emily remarked, \"Matthew is a knave or Olivia is a knave\". \"Liam is a knave and Liam is a knight,\" Jackson claimed. In Matthew's words: \"Liam is a knight or Olivia is a knight\". Olivia told you that Matthew is a knight or Jackson is a knave. So who is a knight and who is a knave?", "names": ["Liam", "Emily", "Jackson", "Matthew", "Olivia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true, true], "solution_text": "Liam is a knave, Emily is a knave, Jackson is a knave, Matthew is a knight, and Olivia is a knight.", "solution_text_format": "(1) Liam is a knave\n(2) Emily is a knave\n(3) Jackson is a knave\n(4) Matthew 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 Liam is a knight. No contradiction is found in their claim that Matthew is a knave and Emily is a knight.", "Matthew cannot be a knight, because this would contradict the claim of Liam that Matthew is a knave and Emily is a knight.", "Matthew cannot be a knave, because this would contradict the false claim of their own that Liam is a knight or Olivia is a knight.", "We have exhausted all possibilities for Matthew, so let us go back and reconsider Liam.", "Assume Liam is a knave. No contradiction is found in their false claim that Matthew is a knave and Emily is a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that Liam is a knight or Olivia is a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that Matthew is a knight or Jackson is a knave.", "Jackson cannot be a knight, because this would contradict the claim of their own that Liam is a knave and Liam is a knight.", "Assume Jackson is a knave. No contradiction is found in their false claim that Liam is a knave and Liam is a knight.", "Emily cannot be a knight, because this would contradict the claim of their own that Matthew is a knave or Olivia is a knave.", "Assume Emily is a knave. No contradiction is found in their false claim that Matthew is a knave or Olivia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 3), ('telling-truth', 1)), ('or', ('lying', 3), ('lying', 4)), ('and', ('lying', 0), ('telling-truth', 0)), ('or', ('telling-truth', 0), ('telling-truth', 4)), ('or', ('telling-truth', 3), ('lying', 2)))", "index": 735}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: William, Isabella, Logan, Benjamin, and Evelyn. William asserted: \"Logan is a knight\". According to Isabella, \"William is a knave\". Logan commented, \"Benjamin is a knave\". \"Evelyn is a knight if and only if Evelyn is a knave,\" Benjamin claimed. Evelyn stated, \"Logan is a knave\". So who is a knight and who is a knave?", "names": ["William", "Isabella", "Logan", "Benjamin", "Evelyn"], "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": "William is a knight, Isabella is a knave, Logan is a knight, Benjamin is a knave, and Evelyn is a knave.", "solution_text_format": "(1) William is a knight\n(2) Isabella is a knave\n(3) Logan is a knight\n(4) Benjamin is a knave\n(5) 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 William is a knight. No contradiction is found in their claim that Logan is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that Benjamin is a knave.", "Benjamin cannot be a knight, because this would contradict the claim of Logan that Benjamin is a knave.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Evelyn is a knight if and only if Evelyn is a knave.", "Evelyn cannot be a knight, because this would contradict the claim of their own that Logan is a knave.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Logan is a knave.", "Isabella cannot be a knight, because this would contradict the claim of their own that William is a knave.", "Assume Isabella is a knave. No contradiction is found in their false claim that William is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 2), ('lying', 0), ('lying', 3), ('<=>', ('telling-truth', 4), ('lying', 4)), ('lying', 2))", "index": 736}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Lily, Luke, Logan, Mia, and Emily. In a statement by Lily: \"Emily is not a knight\". Luke stated, \"If Mia is a knave then Logan is a knave\". Logan said, \"Mia is a knight.\" Mia stated, \"Lily is a knave if and only if Emily is a knight\". \"Mia is not a knight,\" Emily claimed. So who is a knight and who is a knave?", "names": ["Lily", "Luke", "Logan", "Mia", "Emily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, false], "solution_text": "Lily is a knight, Luke is a knight, Logan is a knight, Mia is a knight, and Emily is a knave.", "solution_text_format": "(1) Lily is a knight\n(2) Luke is a knight\n(3) Logan is a knight\n(4) Mia 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 Emily is not a knight.", "Emily cannot be a knight, because this would contradict the claim of Lily that Emily is not a knight.", "Assume Emily is a knave. No contradiction is found in their false claim that Mia is not a knight.", "Assume Mia is a knight. No contradiction is found in their claim that Lily is a knave if and only if Emily is a knight.", "Assume Luke is a knight. No contradiction is found in their claim that If Mia is a knave then Logan is a knave.", "Assume Logan is a knight. No contradiction is found in their claim that Mia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 4)), ('->', ('lying', 3), ('lying', 2)), ('telling-truth', 3), ('<=>', ('lying', 0), ('telling-truth', 4)), ('not', ('telling-truth', 3)))", "index": 737}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Matthew, Chloe, Lily, Charlotte, and Penelope. \"Charlotte is not a knave,\" Matthew declared. \"Lily is a knave if and only if Chloe is a knight\" - Chloe. According to Lily, \"Chloe is a knave\". Charlotte remarked, \"Chloe is not a knave\". In Penelope's words: \"If Charlotte is a knight then Matthew is a knight\". So who is a knight and who is a knave?", "names": ["Matthew", "Chloe", "Lily", "Charlotte", "Penelope"], "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": "Matthew is a knight, Chloe is a knight, Lily is a knave, Charlotte is a knight, and Penelope is a knight.", "solution_text_format": "(1) Matthew is a knight\n(2) Chloe is a knight\n(3) Lily is a knave\n(4) Charlotte is a knight\n(5) Penelope is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Matthew is a knight. No contradiction is found in their claim that Charlotte is not a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that Chloe is not a knave.", "Assume Chloe is a knight. No contradiction is found in their claim that Lily is a knave if and only if Chloe is a knight.", "Lily cannot be a knight, because this would contradict the claim of Chloe that Lily is a knave if and only if Chloe is a knight.", "Assume Lily is a knave. No contradiction is found in their false claim that Chloe is a knave.", "Assume Penelope is a knight. No contradiction is found in their claim that If Charlotte is a knight then Matthew is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 3)), ('<=>', ('lying', 2), ('telling-truth', 1)), ('lying', 1), ('not', ('lying', 1)), ('->', ('telling-truth', 3), ('telling-truth', 0)))", "index": 738}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Mia, Sofia, Abigail, Charlotte, and Elizabeth. Mia told you that Charlotte is a knave and Charlotte is a knight. \"Sofia is a knight if and only if Charlotte is a knave,\" Sofia declared. According to Abigail, \"Sofia is a knight and Mia is a knight\". Charlotte was heard saying, \"Elizabeth is not a knave\". \"Sofia is a knave,\" Elizabeth declared. So who is a knight and who is a knave?", "names": ["Mia", "Sofia", "Abigail", "Charlotte", "Elizabeth"], "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": "Mia is a knave, Sofia is a knight, Abigail is a knave, Charlotte is a knave, and Elizabeth is a knave.", "solution_text_format": "(1) Mia is a knave\n(2) Sofia is a knight\n(3) Abigail is a knave\n(4) Charlotte is a knave\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": ["Mia cannot be a knight, because this would contradict the claim of their own that Charlotte is a knave and Charlotte is a knight.", "Assume Mia is a knave. No contradiction is found in their false claim that Charlotte is a knave and Charlotte is a knight.", "Assume Charlotte 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 Sofia is a knave.", "Sofia cannot be a knight, because this would contradict the claim of their own that Sofia is a knight if and only if Charlotte is a knave.", "Sofia cannot be a knave, because this would contradict the false claim of their own that Sofia is a knight if and only if Charlotte is a knave.", "We have exhausted all possibilities for Sofia, so let us go back and reconsider Elizabeth.", "Elizabeth cannot be a knave, because this would contradict the claim of Charlotte that Elizabeth is not a knave.", "We have exhausted all possibilities for Elizabeth, so let us go back and reconsider Charlotte.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Elizabeth is not a knave.", "Elizabeth cannot be a knight, because this would contradict the false claim of Charlotte that Elizabeth is not a knave.", "Assume Elizabeth 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 Sofia is a knight if and only if Charlotte is a knave.", "Abigail cannot be a knight, because this would contradict the claim of their own that Sofia is a knight and Mia is a knight.", "Assume Abigail is a knave. No contradiction is found in their false claim that Sofia is a knight and Mia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 3), ('telling-truth', 3)), ('<=>', ('telling-truth', 1), ('lying', 3)), ('and', ('telling-truth', 1), ('telling-truth', 0)), ('not', ('lying', 4)), ('lying', 1))", "index": 739}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Scarlett, Mia, Grace, Aurora, and Lily. Scarlett said that Mia is a knight. In Mia's words: \"Lily is a knave if and only if Mia is a knight\". Grace told you that Scarlett is a knight. \"Grace is a knight and Mia is a knave\" - Aurora. Lily expressed that Mia is a knight. So who is a knight and who is a knave?", "names": ["Scarlett", "Mia", "Grace", "Aurora", "Lily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, false, false], "solution_text": "Scarlett is a knave, Mia is a knave, Grace is a knave, Aurora is a knave, and Lily is a knave.", "solution_text_format": "(1) Scarlett is a knave\n(2) Mia is a knave\n(3) Grace is a knave\n(4) Aurora 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 Scarlett is a knight. No contradiction is found in their claim that Mia is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that Lily is a knave if and only if Mia is a knight.", "Lily cannot be a knight, because this would contradict the claim of Mia that Lily is a knave if and only if Mia is a knight.", "Lily cannot be a knave, because this would contradict the false claim of their own that Mia is a knight.", "We have exhausted all possibilities for Lily, so let us go back and reconsider Mia.", "Mia cannot be a knave, because this would contradict the claim of Scarlett that Mia is a knight.", "We have exhausted all possibilities for Mia, so let us go back and reconsider Scarlett.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Mia is a knight.", "Mia cannot be a knight, because this would contradict the false claim of Scarlett that Mia is a knight.", "Assume Mia is a knave. No contradiction is found in their false claim that Lily is a knave if and only if Mia is a knight.", "Lily cannot be a knight, because this would contradict the false claim of Mia that Lily is a knave if and only if Mia is a knight.", "Assume Lily is a knave. No contradiction is found in their false claim that Mia is a knight.", "Grace cannot be a knight, because this would contradict the claim of their own that Scarlett is a knight.", "Assume Grace is a knave. No contradiction is found in their false claim that Scarlett is a knight.", "Aurora cannot be a knight, because this would contradict the claim of their own that Grace is a knight and Mia is a knave.", "Assume Aurora is a knave. No contradiction is found in their false claim that Grace is a knight and Mia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 1), ('<=>', ('lying', 4), ('telling-truth', 1)), ('telling-truth', 0), ('and', ('telling-truth', 2), ('lying', 1)), ('telling-truth', 1))", "index": 740}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Emma, Ella, Grace, Jack, and Lily. In Emma's words: \"Grace is a knave\". \"Jack is not a knave,\" Ella mentioned. Grace expressed that Grace is a knight if and only if Lily is a knave. In a statement by Jack: \"If Jack is a knight then Grace is a knave\". Lily said, \"Grace is a knight.\" So who is a knight and who is a knave?", "names": ["Emma", "Ella", "Grace", "Jack", "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": "Emma is a knight, Ella is a knight, Grace is a knave, Jack is a knight, and Lily is a knave.", "solution_text_format": "(1) Emma is a knight\n(2) Ella is a knight\n(3) Grace is a knave\n(4) Jack 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 Emma is a knight. No contradiction is found in their claim that Grace is a knave.", "Grace cannot be a knight, because this would contradict the claim of Emma that Grace is a knave.", "Assume Grace is a knave. No contradiction is found in their false claim that Grace is a knight if and only if Lily is a knave.", "Lily cannot be a knight, because this would contradict the false claim of Grace that Grace is a knight if and only if Lily is a knave.", "Assume Lily is a knave. No contradiction is found in their false claim that Grace is a knight.", "Assume Ella 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 If Jack is a knight then Grace is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 2), ('not', ('lying', 3)), ('<=>', ('telling-truth', 2), ('lying', 4)), ('->', ('telling-truth', 3), ('lying', 2)), ('telling-truth', 2))", "index": 741}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Elizabeth, Noah, Victoria, Grace, and Lily. \"Grace is a knave and Noah is a knight,\" Elizabeth mentioned. Noah told you that Victoria is not a knight. In Victoria's words: \"Lily is a knave or Noah is a knight\". As Grace put it, \"Victoria is a knave\". \"Victoria is a knave if and only if Victoria is a knight,\" Lily declared. So who is a knight and who is a knave?", "names": ["Elizabeth", "Noah", "Victoria", "Grace", "Lily"], "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": "Elizabeth is a knave, Noah is a knave, Victoria is a knight, Grace is a knave, and Lily is a knave.", "solution_text_format": "(1) Elizabeth is a knave\n(2) Noah is a knave\n(3) Victoria is a knight\n(4) Grace 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 Elizabeth is a knight. No contradiction is found in their claim that Grace is a knave and Noah is a knight.", "Grace cannot be a knight, because this would contradict the claim of Elizabeth that Grace is a knave and Noah is a knight.", "Assume Grace is a knave. No contradiction is found in their false claim that Victoria is a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that Lily is a knave or Noah is a knight.", "Lily cannot be a knight, because this would contradict the claim of their own that Victoria is a knave if and only if Victoria is a knight.", "Assume Lily is a knave. No contradiction is found in their false claim that Victoria is a knave if and only if Victoria is a knight.", "Noah cannot be a knight, because this would contradict the claim of their own that Victoria is not a knight.", "Noah cannot be a knave, because this would contradict the claim of Elizabeth that Grace is a knave and Noah is a knight.", "We have exhausted all possibilities for Noah and Lily, so let us go back and reconsider Victoria.", "Victoria cannot be a knave, because this would contradict the false claim of Grace that Victoria is a knave.", "We have exhausted all possibilities for Victoria and Grace, so let us go back and reconsider Elizabeth.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Grace is a knave and Noah is a knight.", "Assume Grace 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 Grace that Victoria is a knave.", "Assume Victoria is a knave. No contradiction is found in their false claim that Lily is a knave or Noah is a knight.", "Lily cannot be a knight, because this would contradict the claim of their own that Victoria is a knave if and only if Victoria is a knight.", "Lily cannot be a knave, because this would contradict the false claim of Victoria that Lily is a knave or Noah is a knight.", "We have exhausted all possibilities for Lily and Victoria, so let us go back and reconsider Grace.", "Assume Grace is a knave. No contradiction is found in their false claim that Victoria is a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that Lily is a knave or Noah is a knight.", "Lily cannot be a knight, because this would contradict the claim of their own that Victoria is a knave if and only if Victoria is a knight.", "Assume Lily is a knave. No contradiction is found in their false claim that Victoria is a knave if and only if Victoria is a knight.", "Noah cannot be a knight, because this would contradict the false claim of Elizabeth that Grace is a knave and Noah is a knight.", "Assume Noah is a knave. No contradiction is found in their false claim that Victoria is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 3), ('telling-truth', 1)), ('not', ('telling-truth', 2)), ('or', ('lying', 4), ('telling-truth', 1)), ('lying', 2), ('<=>', ('lying', 2), ('telling-truth', 2)))", "index": 742}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Emma, Ethan, Grace, Matthew, and Mason. Emma commented, \"Grace is a knave and Ethan is a knave\". According to Ethan, \"Matthew is a knight or Mason is a knave\". According to Grace, \"Ethan is a knight or Matthew is a knave\". Matthew said, \"Mason is not a knave.\" Mason said that Emma is a knave if and only if Grace is a knave. So who is a knight and who is a knave?", "names": ["Emma", "Ethan", "Grace", "Matthew", "Mason"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false, false], "solution_text": "Emma is a knave, Ethan is a knight, Grace is a knight, Matthew is a knave, and Mason is a knave.", "solution_text_format": "(1) Emma is a knave\n(2) Ethan is a knight\n(3) Grace is a knight\n(4) Matthew is a knave\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 Emma is a knight. No contradiction is found in their claim that Grace is a knave and Ethan is a knave.", "Grace cannot be a knight, because this would contradict the claim of Emma that Grace is a knave and Ethan is a knave.", "Assume Grace is a knave. No contradiction is found in their false claim that Ethan is a knight or Matthew is a knave.", "Ethan cannot be a knight, because this would contradict the claim of Emma that Grace is a knave and Ethan is a knave.", "Assume Ethan is a knave. No contradiction is found in their false claim that Matthew is a knight or Mason is a knave.", "Matthew cannot be a knight, because this would contradict the false claim of Ethan that Matthew is a knight or Mason is a knave.", "Matthew cannot be a knave, because this would contradict the false claim of Grace that Ethan is a knight or Matthew is a knave.", "We have exhausted all possibilities for Matthew, Ethan, and Grace, so let us go back and reconsider Emma.", "Assume Emma is a knave. No contradiction is found in their false claim that Grace is a knave and Ethan is a knave.", "Assume Grace is a knight. No contradiction is found in their claim that Ethan is a knight or Matthew is a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that Matthew is a knight or Mason is a knave.", "Assume Matthew is a knight. No contradiction is found in their claim that Mason is not a knave.", "Mason cannot be a knight, because this would contradict the claim of their own that Emma is a knave if and only if Grace is a knave.", "Mason cannot be a knave, because this would contradict the claim of Matthew that Mason is not a knave.", "We have exhausted all possibilities for Mason, so let us go back and reconsider Matthew.", "Assume Matthew is a knave. No contradiction is found in their false claim that Mason is not a knave.", "Mason cannot be a knight, because this would contradict the claim of Ethan that Matthew is a knight or Mason is a knave.", "Assume Mason is a knave. No contradiction is found in their false claim that Emma is a knave if and only if Grace is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('lying', 1)), ('or', ('telling-truth', 3), ('lying', 4)), ('or', ('telling-truth', 1), ('lying', 3)), ('not', ('lying', 4)), ('<=>', ('lying', 0), ('lying', 2)))", "index": 743}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Owen, Chloe, Oliver, Noah, and Lily. \"Noah is not a knight,\" Owen mentioned. Chloe remarked, \"Noah is a knight\". Oliver asserted: \"Owen is a knight or Lily is a knight\". As Noah put it, \"Chloe is a knave and Noah is a knight\". In Lily's words: \"If Oliver is a knave then Oliver is a knight\". So who is a knight and who is a knave?", "names": ["Owen", "Chloe", "Oliver", "Noah", "Lily"], "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": "Owen is a knight, Chloe is a knave, Oliver is a knight, Noah is a knave, and Lily is a knight.", "solution_text_format": "(1) Owen is a knight\n(2) Chloe is a knave\n(3) Oliver is a knight\n(4) Noah is a knave\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": ["Assume Owen is a knight. No contradiction is found in their claim that Noah is not a knight.", "Noah cannot be a knight, because this would contradict the claim of Owen that Noah is not a knight.", "Assume Noah is a knave. No contradiction is found in their false claim that Chloe is a knave and Noah is a knight.", "Chloe cannot be a knight, because this would contradict the claim of their own that Noah is a knight.", "Assume Chloe is a knave. No contradiction is found in their false claim that Noah is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that Owen is a knight or Lily is a knight.", "Assume Lily is a knight. No contradiction is found in their claim that If Oliver is a knave then Oliver is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 3)), ('telling-truth', 3), ('or', ('telling-truth', 0), ('telling-truth', 4)), ('and', ('lying', 1), ('telling-truth', 3)), ('->', ('lying', 2), ('telling-truth', 2)))", "index": 744}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Emma, Mason, Victoria, Lily, and Avery. \"Victoria is a knave,\" Emma mentioned. Mason asserted: \"Victoria is a knight and Emma is a knave\". Victoria asserted: \"Avery is not a knave\". According to Lily, \"Emma is a knave and Avery is a knave\". Avery asserted: \"Lily is a knight if and only if Lily is a knave\". So who is a knight and who is a knave?", "names": ["Emma", "Mason", "Victoria", "Lily", "Avery"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false, false], "solution_text": "Emma is a knight, Mason is a knave, Victoria is a knave, Lily is a knave, and Avery is a knave.", "solution_text_format": "(1) Emma is a knight\n(2) Mason is a knave\n(3) Victoria is a knave\n(4) Lily is a knave\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 Emma 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 Emma that Victoria is a knave.", "Assume Victoria is a knave. No contradiction is found in their false claim that Avery is not a knave.", "Avery cannot be a knight, because this would contradict the false claim of Victoria that Avery is not a knave.", "Assume Avery is a knave. No contradiction is found in their false claim that Lily is a knight if and only if Lily is a knave.", "Lily cannot be a knight, because this would contradict the claim of their own that Emma is a knave and Avery is a knave.", "Assume Lily is a knave. No contradiction is found in their false claim that Emma is a knave and Avery is a knave.", "Mason cannot be a knight, because this would contradict the claim of their own that Victoria is a knight and Emma is a knave.", "Assume Mason is a knave. No contradiction is found in their false claim that Victoria is a knight and Emma is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 2), ('and', ('telling-truth', 2), ('lying', 0)), ('not', ('lying', 4)), ('and', ('lying', 0), ('lying', 4)), ('<=>', ('telling-truth', 3), ('lying', 3)))", "index": 745}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Lucas, Logan, Aria, Ethan, and Benjamin. Lucas said, \"Logan is a knight and Aria is a knight.\" Logan noted, \"Logan is a knight or Ethan is a knave\". Aria said, \"Lucas is a knight if and only if Lucas is a knave.\" Ethan noted, \"Aria is a knight\". Benjamin was heard saying, \"Logan is a knight\". So who is a knight and who is a knave?", "names": ["Lucas", "Logan", "Aria", "Ethan", "Benjamin"], "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": "Lucas is a knave, Logan is a knight, Aria is a knave, Ethan is a knave, and Benjamin is a knight.", "solution_text_format": "(1) Lucas is a knave\n(2) Logan is a knight\n(3) Aria is a knave\n(4) Ethan is a knave\n(5) Benjamin is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Lucas is a knight. No contradiction is found in their claim that Logan is a knight and Aria is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that Logan is a knight or Ethan is a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that Aria is a knight.", "Aria cannot be a knight, because this would contradict the claim of their own that Lucas is a knight if and only if Lucas is a knave.", "Aria cannot be a knave, because this would contradict the claim of Lucas that Logan is a knight and Aria is a knight.", "We have exhausted all possibilities for Aria, so let us go back and reconsider Ethan.", "Assume Ethan is a knave. No contradiction is found in their false claim that Aria is a knight.", "Aria cannot be a knight, because this would contradict the claim of their own that Lucas is a knight if and only if Lucas is a knave.", "Aria cannot be a knave, because this would contradict the claim of Lucas that Logan is a knight and Aria is a knight.", "We have exhausted all possibilities for Aria and Ethan, so let us go back and reconsider Logan.", "Logan cannot be a knave, because this would contradict the claim of Lucas that Logan is a knight and Aria is a knight.", "We have exhausted all possibilities for Logan, so let us go back and reconsider Lucas.", "Assume Lucas is a knave. No contradiction is found in their false claim that Logan is a knight and Aria is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that Logan is a knight or Ethan is a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that Aria is a knight.", "Aria cannot be a knight, because this would contradict the false claim of Lucas that Logan is a knight and Aria is a knight.", "Aria cannot be a knave, because this would contradict the claim of Ethan that Aria is a knight.", "We have exhausted all possibilities for Aria, so let us go back and reconsider Ethan.", "Assume Ethan is a knave. No contradiction is found in their false claim that Aria is a knight.", "Aria cannot be a knight, because this would contradict the false claim of Lucas that Logan is a knight and Aria is a knight.", "Assume Aria is a knave. No contradiction is found in their false claim that Lucas is a knight if and only if Lucas is a knave.", "Assume Benjamin is a knight. No contradiction is found in their claim that Logan is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('telling-truth', 2)), ('or', ('telling-truth', 1), ('lying', 3)), ('<=>', ('telling-truth', 0), ('lying', 0)), ('telling-truth', 2), ('telling-truth', 1))", "index": 746}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Charlotte, Noah, Daniel, Henry, and Sophia. Charlotte told you that Charlotte is a knight and Daniel is a knight. Noah commented, \"If Noah is a knight then Sophia is a knight\". \"Charlotte is a knave or Noah is a knave,\" Daniel claimed. Henry stated, \"Sophia is a knight and Daniel is a knave\". \"Henry is not a knight,\" Sophia declared. So who is a knight and who is a knave?", "names": ["Charlotte", "Noah", "Daniel", "Henry", "Sophia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false, true], "solution_text": "Charlotte is a knave, Noah is a knight, Daniel is a knight, Henry is a knave, and Sophia is a knight.", "solution_text_format": "(1) Charlotte is a knave\n(2) Noah is a knight\n(3) Daniel is a knight\n(4) Henry 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 Charlotte is a knight. No contradiction is found in their claim that Charlotte is a knight and Daniel is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that Charlotte is a knave or Noah is a knave.", "Noah cannot be a knight, because this would contradict the claim of Daniel that Charlotte is a knave or Noah is a knave.", "Noah cannot be a knave, because this would contradict the false claim of their own that If Noah is a knight then Sophia is a knight.", "We have exhausted all possibilities for Noah, so let us go back and reconsider Daniel.", "Daniel cannot be a knave, because this would contradict the claim of Charlotte that Charlotte is a knight and Daniel is a knight.", "We have exhausted all possibilities for Daniel, so let us go back and reconsider Charlotte.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Charlotte is a knight and Daniel is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that Charlotte is a knave or Noah is a knave.", "Assume Noah is a knight. No contradiction is found in their claim that If Noah is a knight then Sophia is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that Henry is not a knight.", "Henry cannot be a knight, because this would contradict the claim of their own that Sophia is a knight and Daniel is a knave.", "Assume Henry is a knave. No contradiction is found in their false claim that Sophia is a knight and Daniel is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 0), ('telling-truth', 2)), ('->', ('telling-truth', 1), ('telling-truth', 4)), ('or', ('lying', 0), ('lying', 1)), ('and', ('telling-truth', 4), ('lying', 2)), ('not', ('telling-truth', 3)))", "index": 747}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Samuel, Aiden, Liam, William, and Emily. Samuel told you that Aiden is a knave. Aiden noted, \"Liam is a knave if and only if Emily is a knight\". Liam expressed that Samuel is a knave and Emily is a knave. William asserted: \"Liam is a knight\". Emily told you that Liam is a knight. So who is a knight and who is a knave?", "names": ["Samuel", "Aiden", "Liam", "William", "Emily"], "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": "Samuel is a knight, Aiden is a knave, Liam is a knave, William is a knave, and Emily is a knave.", "solution_text_format": "(1) Samuel is a knight\n(2) Aiden is a knave\n(3) Liam is a knave\n(4) William is a knave\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 Samuel 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 Samuel that Aiden is a knave.", "Assume Aiden is a knave. No contradiction is found in their false claim that Liam is a knave if and only if Emily is a knight.", "Liam cannot be a knight, because this would contradict the claim of their own that Samuel is a knave and Emily is a knave.", "Assume Liam is a knave. No contradiction is found in their false claim that Samuel is a knave and Emily is a knave.", "Emily cannot be a knight, because this would contradict the false claim of Aiden that Liam is a knave if and only if Emily is a knight.", "Assume Emily is a knave. No contradiction is found in their false claim that Liam is a knight.", "William cannot be a knight, because this would contradict the claim of their own that Liam is a knight.", "Assume William is a knave. No contradiction is found in their false claim that Liam is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('<=>', ('lying', 2), ('telling-truth', 4)), ('and', ('lying', 0), ('lying', 4)), ('telling-truth', 2), ('telling-truth', 2))", "index": 748}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Oliver, Mia, Daniel, Sebastian, and Harper. In a statement by Oliver: \"If Daniel is a knight then Daniel is a knave\". In Mia's words: \"Oliver is a knight\". \"Oliver is a knave or Harper is a knave\" - Daniel. In a statement by Sebastian: \"If Daniel is a knight then Harper is a knave\". Harper remarked, \"Oliver is a knave if and only if Oliver is a knight\". So who is a knight and who is a knave?", "names": ["Oliver", "Mia", "Daniel", "Sebastian", "Harper"], "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": "Oliver is a knave, Mia is a knave, Daniel is a knight, Sebastian is a knight, and Harper is a knave.", "solution_text_format": "(1) Oliver is a knave\n(2) Mia is a knave\n(3) Daniel is a knight\n(4) Sebastian 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 Oliver is a knight. No contradiction is found in their claim that If Daniel is a knight then Daniel is a knave.", "Daniel cannot be a knight, because this would contradict the claim of Oliver that If Daniel is a knight then Daniel is a knave.", "Assume Daniel is a knave. No contradiction is found in their false claim that Oliver is a knave or Harper is a knave.", "Harper cannot be a knight, because this would contradict the claim of their own that Oliver is a knave if and only if Oliver is a knight.", "Harper cannot be a knave, because this would contradict the false claim of Daniel that Oliver is a knave or Harper is a knave.", "We have exhausted all possibilities for Harper and Daniel, so let us go back and reconsider Oliver.", "Assume Oliver is a knave. No contradiction is found in their false claim that If Daniel is a knight then Daniel is a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that Oliver is a knave or Harper is a knave.", "Harper cannot be a knight, because this would contradict the claim of their own that Oliver is a knave if and only if Oliver is a knight.", "Assume Harper is a knave. No contradiction is found in their false claim that Oliver is a knave if and only if Oliver is a knight.", "Mia cannot be a knight, because this would contradict the claim of their own that Oliver is a knight.", "Assume Mia is a knave. No contradiction is found in their false claim that Oliver is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that If Daniel is a knight then Harper is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 2), ('lying', 2)), ('telling-truth', 0), ('or', ('lying', 0), ('lying', 4)), ('->', ('telling-truth', 2), ('lying', 4)), ('<=>', ('lying', 0), ('telling-truth', 0)))", "index": 749}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: William, Olivia, James, Owen, and Emma. William expressed that Emma is a knave and James is a knave. In a statement by Olivia: \"James is a knight if and only if Emma is a knave\". \"James is a knight if and only if Emma is a knave\" - James. Owen noted, \"If William is a knave then James is a knave\". \"Owen is a knave and James is a knight,\" Emma mentioned. So who is a knight and who is a knave?", "names": ["William", "Olivia", "James", "Owen", "Emma"], "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": "William is a knight, Olivia is a knave, James is a knave, Owen is a knight, and Emma is a knave.", "solution_text_format": "(1) William is a knight\n(2) Olivia is a knave\n(3) James is a knave\n(4) Owen 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 William is a knight. No contradiction is found in their claim that Emma is a knave and James is a knave.", "Emma cannot be a knight, because this would contradict the claim of William that Emma is a knave and James is a knave.", "Assume Emma is a knave. No contradiction is found in their false claim that Owen is a knave and James is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that If William is a knave then James is a knave.", "James cannot be a knight, because this would contradict the claim of William that Emma is a knave and James is a knave.", "Assume James is a knave. No contradiction is found in their false claim that James is a knight if and only if Emma is a knave.", "Olivia cannot be a knight, because this would contradict the claim of their own that James is a knight if and only if Emma is a knave.", "Assume Olivia is a knave. No contradiction is found in their false claim that James is a knight if and only if Emma is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 4), ('lying', 2)), ('<=>', ('telling-truth', 2), ('lying', 4)), ('<=>', ('telling-truth', 2), ('lying', 4)), ('->', ('lying', 0), ('lying', 2)), ('and', ('lying', 3), ('telling-truth', 2)))", "index": 750}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Mia, Emily, Henry, Daniel, and Sophia. Mia remarked, \"Sophia is a knight and Henry is a knave\". Emily said that Sophia is a knave. According to Henry, \"Emily is a knave or Sophia is a knight\". \"If Sophia is a knight then Mia is a knight,\" Daniel mentioned. Sophia said that Mia is a knight and Daniel is a knave. So who is a knight and who is a knave?", "names": ["Mia", "Emily", "Henry", "Daniel", "Sophia"], "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": "Mia is a knave, Emily is a knight, Henry is a knave, Daniel is a knight, and Sophia is a knave.", "solution_text_format": "(1) Mia is a knave\n(2) Emily is a knight\n(3) Henry is a knave\n(4) Daniel is a knight\n(5) Sophia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Mia is a knight. No contradiction is found in their claim that Sophia is a knight and Henry is a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that Mia is a knight and Daniel is a knave.", "Daniel cannot be a knight, because this would contradict the claim of Sophia that Mia is a knight and Daniel is a knave.", "Daniel cannot be a knave, because this would contradict the false claim of their own that If Sophia is a knight then Mia is a knight.", "We have exhausted all possibilities for Daniel, so let us go back and reconsider Sophia.", "Sophia cannot be a knave, because this would contradict the claim of Mia that Sophia is a knight and Henry is a knave.", "We have exhausted all possibilities for Sophia, so let us go back and reconsider Mia.", "Assume Mia is a knave. No contradiction is found in their false claim that Sophia is a knight and Henry is a knave.", "Sophia cannot be a knight, because this would contradict the claim of their own that Mia is a knight and Daniel is a knave.", "Assume Sophia is a knave. No contradiction is found in their false claim that Mia is a knight and Daniel is a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that If Sophia is a knight then Mia is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that Emily is a knave or Sophia is a knight.", "Emily cannot be a knight, because this would contradict the claim of Henry that Emily is a knave or Sophia is a knight.", "Emily cannot be a knave, because this would contradict the false claim of their own that Sophia is a knave.", "We have exhausted all possibilities for Emily, so let us go back and reconsider Henry.", "Assume Henry is a knave. No contradiction is found in their false claim that Emily is a knave or Sophia is a knight.", "Assume Emily is a knight. No contradiction is found in their claim that Sophia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 4), ('lying', 2)), ('lying', 4), ('or', ('lying', 1), ('telling-truth', 4)), ('->', ('telling-truth', 4), ('telling-truth', 0)), ('and', ('telling-truth', 0), ('lying', 3)))", "index": 751}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Alexander, Benjamin, Isabella, Logan, and Samuel. Alexander commented, \"If Samuel is a knave then Logan is a knave\". \"Logan is a knave\" - Benjamin. Isabella remarked, \"Alexander is a knight and Logan is a knight\". Logan commented, \"Alexander is a knight\". \"Isabella is a knave or Isabella is a knight,\" Samuel mentioned. So who is a knight and who is a knave?", "names": ["Alexander", "Benjamin", "Isabella", "Logan", "Samuel"], "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": "Alexander is a knight, Benjamin is a knave, Isabella is a knight, Logan is a knight, and Samuel is a knight.", "solution_text_format": "(1) Alexander is a knight\n(2) Benjamin is a knave\n(3) Isabella is a knight\n(4) Logan is a knight\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 If Samuel is a knave then Logan is a knave.", "Assume Samuel is a knight. No contradiction is found in their claim that Isabella is a knave or Isabella is a knight.", "Assume Isabella is a knight. No contradiction is found in their claim that Alexander is a knight and Logan is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that Alexander is a knight.", "Benjamin cannot be a knight, because this would contradict the claim of their own that Logan is a knave.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Logan is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 4), ('lying', 3)), ('lying', 3), ('and', ('telling-truth', 0), ('telling-truth', 3)), ('telling-truth', 0), ('or', ('lying', 2), ('telling-truth', 2)))", "index": 752}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aiden, Lucas, Aria, Scarlett, and Charlotte. Aiden noted, \"If Aria is a knight then Scarlett is a knight\". Lucas asserted: \"If Aria is a knave then Aiden is a knave\". Aria said that Scarlett is not a knight. Scarlett stated, \"Charlotte is not a knight\". \"Aiden is a knight and Charlotte is a knight,\" Charlotte mentioned. So who is a knight and who is a knave?", "names": ["Aiden", "Lucas", "Aria", "Scarlett", "Charlotte"], "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": "Aiden is a knight, Lucas is a knave, Aria is a knave, Scarlett is a knight, and Charlotte is a knave.", "solution_text_format": "(1) Aiden is a knight\n(2) Lucas is a knave\n(3) Aria is a knave\n(4) Scarlett is a knight\n(5) 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 Aiden is a knight. No contradiction is found in their claim that If Aria is a knight then Scarlett is a knight.", "Assume Aria is a knight. No contradiction is found in their claim that Scarlett is not a knight.", "Scarlett cannot be a knight, because this would contradict the claim of Aria that Scarlett is not a knight.", "Scarlett cannot be a knave, because this would contradict the claim of Aiden that If Aria is a knight then Scarlett is a knight.", "We have exhausted all possibilities for Scarlett, so let us go back and reconsider Aria.", "Assume Aria is a knave. No contradiction is found in their false claim that Scarlett is not a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that Charlotte is not a knight.", "Charlotte cannot be a knight, because this would contradict the claim of Scarlett that Charlotte is not a knight.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Aiden is a knight and Charlotte is a knight.", "Lucas cannot be a knight, because this would contradict the claim of their own that If Aria is a knave then Aiden is a knave.", "Assume Lucas is a knave. No contradiction is found in their false claim that If Aria is a knave then Aiden is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 2), ('telling-truth', 3)), ('->', ('lying', 2), ('lying', 0)), ('not', ('telling-truth', 3)), ('not', ('telling-truth', 4)), ('and', ('telling-truth', 0), ('telling-truth', 4)))", "index": 753}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Scarlett, Amelia, Abigail, Jack, and Penelope. Scarlett commented, \"Penelope is a knave\". Amelia asserted: \"Jack is a knave and Scarlett is a knave\". Abigail told you that Amelia is a knight if and only if Scarlett is a knight. \"Amelia is a knight or Amelia is a knave,\" Jack declared. In a statement by Penelope: \"Amelia is a knave if and only if Jack is a knave\". So who is a knight and who is a knave?", "names": ["Scarlett", "Amelia", "Abigail", "Jack", "Penelope"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, false], "solution_text": "Scarlett is a knight, Amelia is a knave, Abigail is a knave, Jack is a knight, and Penelope is a knave.", "solution_text_format": "(1) Scarlett is a knight\n(2) Amelia is a knave\n(3) Abigail is a knave\n(4) Jack 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 Scarlett 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 Scarlett that Penelope is a knave.", "Assume Penelope is a knave. No contradiction is found in their false claim that Amelia is a knave if and only if Jack is a knave.", "Amelia cannot be a knight, because this would contradict the claim of their own that Jack is a knave and Scarlett is a knave.", "Assume Amelia is a knave. No contradiction is found in their false claim that Jack is a knave and Scarlett is a knave.", "Assume Jack is a knight. No contradiction is found in their claim that Amelia is a knight or Amelia is a knave.", "Abigail cannot be a knight, because this would contradict the claim of their own that Amelia is a knight if and only if Scarlett is a knight.", "Assume Abigail is a knave. No contradiction is found in their false claim that Amelia is a knight if and only if Scarlett is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 4), ('and', ('lying', 3), ('lying', 0)), ('<=>', ('telling-truth', 1), ('telling-truth', 0)), ('or', ('telling-truth', 1), ('lying', 1)), ('<=>', ('lying', 1), ('lying', 3)))", "index": 754}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Sophia, Scarlett, Ava, Matthew, and Grace. Sophia said that Grace is a knave and Sophia is a knight. \"If Scarlett is a knight then Sophia is a knave\" - Scarlett. \"Sophia is a knight and Ava is a knight,\" Ava declared. \"If Ava is a knight then Grace is a knight,\" Matthew mentioned. Grace noted, \"Ava is not a knight\". So who is a knight and who is a knave?", "names": ["Sophia", "Scarlett", "Ava", "Matthew", "Grace"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true, true], "solution_text": "Sophia is a knave, Scarlett is a knight, Ava is a knave, Matthew is a knight, and Grace is a knight.", "solution_text_format": "(1) Sophia is a knave\n(2) Scarlett is a knight\n(3) Ava is a knave\n(4) Matthew 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 Sophia is a knight. No contradiction is found in their claim that Grace is a knave and Sophia is a knight.", "Grace cannot be a knight, because this would contradict the claim of Sophia that Grace is a knave and Sophia is a knight.", "Assume Grace 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 Sophia is a knight and Ava is a knight.", "Scarlett cannot be a knight, because this would contradict the claim of their own that If Scarlett is a knight then Sophia is a knave.", "Scarlett cannot be a knave, because this would contradict the false claim of their own that If Scarlett is a knight then Sophia is a knave.", "We have exhausted all possibilities for Scarlett, so let us go back and reconsider Ava.", "Ava cannot be a knave, because this would contradict the false claim of Grace that Ava is not a knight.", "We have exhausted all possibilities for Ava and Grace, so let us go back and reconsider Sophia.", "Assume Sophia is a knave. No contradiction is found in their false claim that Grace is a knave and Sophia is a knight.", "Assume Grace 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 their own that Sophia is a knight and Ava is a knight.", "Assume Ava is a knave. No contradiction is found in their false claim that Sophia is a knight and Ava is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that If Scarlett is a knight then Sophia is a knave.", "Assume Matthew is a knight. No contradiction is found in their claim that If Ava is a knight then Grace is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 4), ('telling-truth', 0)), ('->', ('telling-truth', 1), ('lying', 0)), ('and', ('telling-truth', 0), ('telling-truth', 2)), ('->', ('telling-truth', 2), ('telling-truth', 4)), ('not', ('telling-truth', 2)))", "index": 755}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Owen, Daniel, Avery, Ella, and Jacob. \"Ella is a knight and Avery is a knight\" - Owen. According to Daniel, \"Daniel is a knight or Jacob is a knight\". Avery was heard saying, \"Daniel is a knight\". \"Jacob is a knight or Daniel is a knight\" - Ella. Jacob remarked, \"Ella is a knave or Daniel is a knave\". So who is a knight and who is a knave?", "names": ["Owen", "Daniel", "Avery", "Ella", "Jacob"], "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": "Owen is a knight, Daniel is a knight, Avery is a knight, Ella is a knight, and Jacob is a knave.", "solution_text_format": "(1) Owen is a knight\n(2) Daniel is a knight\n(3) Avery is a knight\n(4) Ella 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 Owen is a knight. No contradiction is found in their claim that Ella is a knight and Avery is a knight.", "Assume Ella is a knight. No contradiction is found in their claim that Jacob is a knight or Daniel is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that Ella is a knave or Daniel is a knave.", "Daniel cannot be a knight, because this would contradict the claim of Jacob that Ella is a knave or Daniel is a knave.", "Daniel cannot be a knave, because this would contradict the false claim of their own that Daniel is a knight or Jacob is a knight.", "We have exhausted all possibilities for Daniel, so let us go back and reconsider Jacob.", "Assume Jacob is a knave. No contradiction is found in their false claim that Ella is a knave or Daniel is a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that Daniel is a knight or Jacob is a knight.", "Assume Avery 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', 3), ('telling-truth', 2)), ('or', ('telling-truth', 1), ('telling-truth', 4)), ('telling-truth', 1), ('or', ('telling-truth', 4), ('telling-truth', 1)), ('or', ('lying', 3), ('lying', 1)))", "index": 756}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Ella, Victoria, David, Sebastian, and Emily. Ella noted, \"David is a knight if and only if Victoria is a knave\". \"If Sebastian is a knave then David is a knave,\" Victoria claimed. \"Victoria is a knave\" - David. Sebastian said that Victoria is not a knight. \"Victoria is a knave,\" Emily declared. So who is a knight and who is a knave?", "names": ["Ella", "Victoria", "David", "Sebastian", "Emily"], "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": "Ella is a knight, Victoria is a knight, David is a knave, Sebastian is a knave, and Emily is a knave.", "solution_text_format": "(1) Ella is a knight\n(2) Victoria is a knight\n(3) David is a knave\n(4) Sebastian is a knave\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 Ella is a knight. No contradiction is found in their claim that David is a knight if and only if Victoria is a knave.", "Assume David is a knight. No contradiction is found in their claim that Victoria is a knave.", "Victoria cannot be a knight, because this would contradict the claim of Ella that David is a knight if and only if Victoria is a knave.", "Assume Victoria is a knave. No contradiction is found in their false claim that If Sebastian is a knave then David is a knave.", "Sebastian cannot be a knight, because this would contradict the false claim of Victoria that If Sebastian is a knave then David is a knave.", "Sebastian cannot be a knave, because this would contradict the false claim of their own that Victoria is not a knight.", "We have exhausted all possibilities for Sebastian and Victoria, so let us go back and reconsider David.", "Assume David is a knave. No contradiction is found in their false claim that Victoria is a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that If Sebastian is a knave then David is a knave.", "Sebastian cannot be a knight, because this would contradict the claim of their own that Victoria is not a knight.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Victoria is not a knight.", "Emily cannot be a knight, because this would contradict the claim of their own that Victoria is a knave.", "Assume Emily is a knave. No contradiction is found in their false claim that Victoria is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 2), ('lying', 1)), ('->', ('lying', 3), ('lying', 2)), ('lying', 1), ('not', ('telling-truth', 1)), ('lying', 1))", "index": 757}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: William, Zoey, Mason, Sofia, and Noah. According to William, \"William is a knight or Sofia is a knight\". \"If Noah is a knight then Mason is a knave,\" Zoey claimed. Mason stated, \"William is a knave or Zoey is a knave\". According to Sofia, \"Noah is not a knight\". \"Zoey is not a knave,\" Noah mentioned. So who is a knight and who is a knave?", "names": ["William", "Zoey", "Mason", "Sofia", "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": "William is a knight, Zoey is a knight, Mason is a knave, Sofia is a knave, and Noah is a knight.", "solution_text_format": "(1) William is a knight\n(2) Zoey is a knight\n(3) Mason is a knave\n(4) Sofia 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 William is a knight. No contradiction is found in their claim that William is a knight or Sofia is a knight.", "Assume Sofia is a knight. No contradiction is found in their claim that Noah is not a knight.", "Noah cannot be a knight, because this would contradict the claim of Sofia that Noah is not a knight.", "Assume Noah is a knave. No contradiction is found in their false claim that Zoey is not a knave.", "Zoey cannot be a knight, because this would contradict the false claim of Noah that Zoey is not a knave.", "Zoey cannot be a knave, because this would contradict the false claim of their own that If Noah is a knight then Mason is a knave.", "We have exhausted all possibilities for Zoey and Noah, so let us go back and reconsider Sofia.", "Assume Sofia is a knave. No contradiction is found in their false claim that Noah is not a knight.", "Assume Noah is a knight. No contradiction is found in their claim that Zoey is not a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that If Noah is a knight then Mason is a knave.", "Mason cannot be a knight, because this would contradict the claim of Zoey that If Noah is a knight then Mason is a knave.", "Assume Mason is a knave. No contradiction is found in their false claim that William is a knave or Zoey is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 0), ('telling-truth', 3)), ('->', ('telling-truth', 4), ('lying', 2)), ('or', ('lying', 0), ('lying', 1)), ('not', ('telling-truth', 4)), ('not', ('lying', 1)))", "index": 758}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Ava, Elizabeth, Isabella, Lucas, and Ella. As Ava put it, \"If Ava is a knight then Isabella is a knight\". In a statement by Elizabeth: \"Ava is a knight if and only if Ava is a knave\". \"Lucas is a knave or Elizabeth is a knave,\" Isabella mentioned. In a statement by Lucas: \"If Ella is a knight then Ella is a knave\". \"Isabella is not a knight,\" Ella mentioned. So who is a knight and who is a knave?", "names": ["Ava", "Elizabeth", "Isabella", "Lucas", "Ella"], "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": "Ava is a knight, Elizabeth is a knave, Isabella is a knight, Lucas is a knight, and Ella is a knave.", "solution_text_format": "(1) Ava is a knight\n(2) Elizabeth is a knave\n(3) Isabella is a knight\n(4) Lucas is a knight\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 Ava is a knight. No contradiction is found in their claim that If Ava is a knight then Isabella is a knight.", "Assume Isabella is a knight. No contradiction is found in their claim that Lucas is a knave or Elizabeth is a knave.", "Assume Lucas is a knight. No contradiction is found in their claim that If Ella is a knight then Ella is a knave.", "Ella cannot be a knight, because this would contradict the claim of Lucas that If Ella is a knight then Ella is a knave.", "Assume Ella is a knave. No contradiction is found in their false claim that Isabella is not a knight.", "Elizabeth cannot be a knight, because this would contradict the claim of their own that Ava is a knight if and only if Ava is a knave.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Ava is a knight if and only if Ava is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 0), ('telling-truth', 2)), ('<=>', ('telling-truth', 0), ('lying', 0)), ('or', ('lying', 3), ('lying', 1)), ('->', ('telling-truth', 4), ('lying', 4)), ('not', ('telling-truth', 2)))", "index": 759}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Ella, Sebastian, Emma, Alexander, and Matthew. According to Ella, \"Matthew is not a knight\". \"Alexander is a knight and Matthew is a knight\" - Sebastian. As Emma put it, \"Alexander is a knave if and only if Matthew is a knight\". Alexander commented, \"Matthew is not a knave\". In Matthew's words: \"If Alexander is a knight then Sebastian is a knight\". So who is a knight and who is a knave?", "names": ["Ella", "Sebastian", "Emma", "Alexander", "Matthew"], "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": "Ella is a knave, Sebastian is a knight, Emma is a knave, Alexander is a knight, and Matthew is a knight.", "solution_text_format": "(1) Ella is a knave\n(2) Sebastian is a knight\n(3) Emma is a knave\n(4) Alexander 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 Ella is a knight. No contradiction is found in their claim that Matthew is not a knight.", "Matthew cannot be a knight, because this would contradict the claim of Ella that Matthew is not a knight.", "Assume Matthew is a knave. No contradiction is found in their false claim that If Alexander is a knight then Sebastian is a knight.", "Alexander cannot be a knight, because this would contradict the claim of their own that Matthew is not a knave.", "Alexander cannot be a knave, because this would contradict the false claim of Matthew that If Alexander is a knight then Sebastian is a knight.", "We have exhausted all possibilities for Alexander and Matthew, so let us go back and reconsider Ella.", "Assume Ella is a knave. No contradiction is found in their false claim that Matthew is not a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that If Alexander is a knight then Sebastian is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that Matthew is not a knave.", "Assume Sebastian is a knight. No contradiction is found in their claim that Alexander is a knight and Matthew is a knight.", "Emma cannot be a knight, because this would contradict the claim of their own that Alexander is a knave if and only if Matthew is a knight.", "Assume Emma is a knave. No contradiction is found in their false claim that Alexander is a knave if and only if Matthew is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 4)), ('and', ('telling-truth', 3), ('telling-truth', 4)), ('<=>', ('lying', 3), ('telling-truth', 4)), ('not', ('lying', 4)), ('->', ('telling-truth', 3), ('telling-truth', 1)))", "index": 760}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Sofia, Mia, Aiden, Jacob, and Mason. As Sofia put it, \"If Aiden is a knave then Aiden is a knight\". \"Mason is not a knight,\" Mia declared. \"If Sofia is a knight then Mason is a knight,\" Aiden mentioned. Jacob stated, \"Mason is not a knave\". Mason expressed that Mia is a knave or Aiden is a knight. So who is a knight and who is a knave?", "names": ["Sofia", "Mia", "Aiden", "Jacob", "Mason"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, true], "solution_text": "Sofia is a knight, Mia is a knave, Aiden is a knight, Jacob is a knight, and Mason is a knight.", "solution_text_format": "(1) Sofia is a knight\n(2) Mia is a knave\n(3) Aiden is a knight\n(4) Jacob is a knight\n(5) 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 Sofia is a knight. No contradiction is found in their claim that If Aiden is a knave then Aiden is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that If Sofia is a knight then Mason is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that Mia is a knave or Aiden is a knight.", "Mia cannot be a knight, because this would contradict the claim of their own that Mason is not a knight.", "Assume Mia is a knave. No contradiction is found in their false claim that Mason is not a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that Mason is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 2), ('telling-truth', 2)), ('not', ('telling-truth', 4)), ('->', ('telling-truth', 0), ('telling-truth', 4)), ('not', ('lying', 4)), ('or', ('lying', 1), ('telling-truth', 2)))", "index": 761}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aiden, Riley, Zoey, James, and Daniel. Aiden told you that James is not a knave. Riley expressed that Zoey is a knave or Daniel is a knave. \"James is a knave and Riley is a knave\" - Zoey. James told you that Daniel is a knight. Daniel said that If Riley is a knave then Aiden is a knight. So who is a knight and who is a knave?", "names": ["Aiden", "Riley", "Zoey", "James", "Daniel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true, true], "solution_text": "Aiden is a knight, Riley is a knight, Zoey is a knave, James is a knight, and Daniel is a knight.", "solution_text_format": "(1) Aiden is a knight\n(2) Riley is a knight\n(3) Zoey is a knave\n(4) James 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 Aiden is a knight. No contradiction is found in their claim that James is not a knave.", "Assume James is a knight. No contradiction is found in their claim that Daniel is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that If Riley is a knave then Aiden is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that Zoey is a knave or Daniel is a knave.", "Zoey cannot be a knight, because this would contradict the claim of Riley that Zoey is a knave or Daniel is a knave.", "Assume Zoey is a knave. No contradiction is found in their false claim that James is a knave and Riley is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 3)), ('or', ('lying', 2), ('lying', 4)), ('and', ('lying', 3), ('lying', 1)), ('telling-truth', 4), ('->', ('lying', 1), ('telling-truth', 0)))", "index": 762}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Alexander, Abigail, Chloe, Charlotte, and Jack. According to Alexander, \"Chloe is a knight if and only if Jack is a knight\". In Abigail's words: \"Charlotte is a knave\". Chloe noted, \"Charlotte is a knave\". \"If Abigail is a knave then Charlotte is a knight,\" Charlotte mentioned. Jack expressed that Chloe is not a knight. So who is a knight and who is a knave?", "names": ["Alexander", "Abigail", "Chloe", "Charlotte", "Jack"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true, true], "solution_text": "Alexander is a knave, Abigail is a knave, Chloe is a knave, Charlotte is a knight, and Jack is a knight.", "solution_text_format": "(1) Alexander is a knave\n(2) Abigail is a knave\n(3) Chloe is a knave\n(4) Charlotte 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 Alexander is a knight. No contradiction is found in their claim that Chloe is a knight if and only if Jack is a knight.", "Assume Chloe 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 Chloe that Charlotte is a knave.", "Assume Charlotte is a knave. No contradiction is found in their false claim that If Abigail is a knave then Charlotte is a knight.", "Abigail cannot be a knight, because this would contradict the false claim of Charlotte that If Abigail is a knave then Charlotte is a knight.", "Abigail cannot be a knave, because this would contradict the false claim of their own that Charlotte is a knave.", "We have exhausted all possibilities for Abigail and Charlotte, so let us go back and reconsider Chloe.", "Assume Chloe is a knave. No contradiction is found in their false claim that Charlotte is a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that If Abigail is a knave then Charlotte is a knight.", "Abigail cannot be a knight, because this would contradict the claim of their own that Charlotte is a knave.", "Assume Abigail is a knave. No contradiction is found in their false claim that Charlotte is a knave.", "Jack cannot be a knight, because this would contradict the claim of Alexander that Chloe is a knight if and only if Jack is a knight.", "Jack cannot be a knave, because this would contradict the false claim of their own that Chloe is not a knight.", "We have exhausted all possibilities for Jack and Abigail, so let us go back and reconsider Charlotte.", "Charlotte cannot be a knave, because this would contradict the false claim of Chloe that Charlotte is a knave.", "We have exhausted all possibilities for Charlotte and Chloe, so let us go back and reconsider Alexander.", "Assume Alexander is a knave. No contradiction is found in their false claim that Chloe is a knight if and only if Jack is a knight.", "Assume Chloe 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 Chloe that Charlotte is a knave.", "Assume Charlotte is a knave. No contradiction is found in their false claim that If Abigail is a knave then Charlotte is a knight.", "Abigail cannot be a knight, because this would contradict the false claim of Charlotte that If Abigail is a knave then Charlotte is a knight.", "Abigail cannot be a knave, because this would contradict the false claim of their own that Charlotte is a knave.", "We have exhausted all possibilities for Abigail and Charlotte, so let us go back and reconsider Chloe.", "Assume Chloe is a knave. No contradiction is found in their false claim that Charlotte is a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that If Abigail is a knave then Charlotte is a knight.", "Abigail cannot be a knight, because this would contradict the claim of their own that Charlotte is a knave.", "Assume Abigail is a knave. No contradiction is found in their false claim that Charlotte is a knave.", "Assume Jack is a knight. No contradiction is found in their claim that Chloe is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 2), ('telling-truth', 4)), ('lying', 3), ('lying', 3), ('->', ('lying', 1), ('telling-truth', 3)), ('not', ('telling-truth', 2)))", "index": 763}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Sofia, Mason, Amelia, Jacob, and Daniel. Sofia told you that Jacob is a knight or Amelia is a knave. Mason told you that Amelia is a knight and Sofia is a knight. \"Jacob is not a knave,\" Amelia declared. According to Jacob, \"If Mason is a knight then Daniel is a knight\". Daniel expressed that Sofia is a knight if and only if Amelia is a knight. So who is a knight and who is a knave?", "names": ["Sofia", "Mason", "Amelia", "Jacob", "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": "Sofia is a knight, Mason is a knight, Amelia is a knight, Jacob is a knight, and Daniel is a knight.", "solution_text_format": "(1) Sofia is a knight\n(2) Mason is a knight\n(3) Amelia is a knight\n(4) Jacob 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 Sofia is a knight. No contradiction is found in their claim that Jacob is a knight or Amelia is a knave.", "Assume Jacob is a knight. No contradiction is found in their claim that If Mason is a knight then Daniel is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that Amelia is a knight and Sofia is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that Jacob is not a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that Sofia is a knight if and only if Amelia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 3), ('lying', 2)), ('and', ('telling-truth', 2), ('telling-truth', 0)), ('not', ('lying', 3)), ('->', ('telling-truth', 1), ('telling-truth', 4)), ('<=>', ('telling-truth', 0), ('telling-truth', 2)))", "index": 764}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Logan, Grace, Daniel, David, and Jackson. Logan expressed that Grace is a knight and Grace is a knave. Grace noted, \"Logan is a knight and David is a knave\". Daniel said that Grace is a knave and Logan is a knave. \"Grace is a knave,\" David mentioned. As Jackson put it, \"Logan is a knave and Daniel is a knight\". So who is a knight and who is a knave?", "names": ["Logan", "Grace", "Daniel", "David", "Jackson"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true, true], "solution_text": "Logan is a knave, Grace is a knave, Daniel is a knight, David is a knight, and Jackson is a knight.", "solution_text_format": "(1) Logan is a knave\n(2) Grace is a knave\n(3) Daniel is a knight\n(4) David is a knight\n(5) Jackson is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Logan cannot be a knight, because this would contradict the claim of their own that Grace is a knight and Grace is a knave.", "Assume Logan is a knave. No contradiction is found in their false claim that Grace is a knight and Grace is a knave.", "Grace cannot be a knight, because this would contradict the claim of their own that Logan is a knight and David is a knave.", "Assume Grace is a knave. No contradiction is found in their false claim that Logan is a knight and David is a knave.", "Assume David is a knight. No contradiction is found in their claim that Grace is a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that Grace is a knave and Logan is a knave.", "Assume Jackson is a knight. No contradiction is found in their claim that Logan is a knave and Daniel is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('lying', 1)), ('and', ('telling-truth', 0), ('lying', 3)), ('and', ('lying', 1), ('lying', 0)), ('lying', 1), ('and', ('lying', 0), ('telling-truth', 2)))", "index": 765}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: William, Penelope, Scarlett, Logan, and James. As William put it, \"Penelope is a knight if and only if Penelope is a knave\". Penelope expressed that Logan is a knave if and only if Logan is a knight. According to Scarlett, \"If William is a knight then Logan is a knave\". Logan was heard saying, \"James is a knave if and only if Scarlett is a knight\". \"Scarlett is a knave and Logan is a knave,\" James claimed. So who is a knight and who is a knave?", "names": ["William", "Penelope", "Scarlett", "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": "William is a knave, Penelope is a knave, Scarlett is a knight, Logan is a knight, and James is a knave.", "solution_text_format": "(1) William is a knave\n(2) Penelope is a knave\n(3) Scarlett 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": ["William cannot be a knight, because this would contradict the claim of their own that Penelope is a knight if and only if Penelope is a knave.", "Assume William is a knave. No contradiction is found in their false claim that Penelope is a knight if and only if Penelope is a knave.", "Penelope cannot be a knight, because this would contradict the claim of their own that Logan is a knave if and only if Logan is a knight.", "Assume Penelope is a knave. No contradiction is found in their false claim that Logan is a knave if and only if Logan is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that James is a knave if and only if Scarlett is a knight.", "James cannot be a knight, because this would contradict the claim of their own that Scarlett is a knave and Logan is a knave.", "Assume James is a knave. No contradiction is found in their false claim that Scarlett is a knave and Logan is a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that If William is a knight then Logan is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('lying', 1)), ('<=>', ('lying', 3), ('telling-truth', 3)), ('->', ('telling-truth', 0), ('lying', 3)), ('<=>', ('lying', 4), ('telling-truth', 2)), ('and', ('lying', 2), ('lying', 3)))", "index": 766}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Abigail, Oliver, Elizabeth, Emma, and Mia. \"Elizabeth is a knight or Mia is a knave,\" Abigail declared. Oliver said that Abigail is not a knave. Elizabeth remarked, \"Emma is a knight\". Emma asserted: \"Mia is a knight if and only if Oliver is a knave\". \"Elizabeth is not a knight,\" Mia claimed. So who is a knight and who is a knave?", "names": ["Abigail", "Oliver", "Elizabeth", "Emma", "Mia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, false], "solution_text": "Abigail is a knight, Oliver is a knight, Elizabeth is a knight, Emma is a knight, and Mia is a knave.", "solution_text_format": "(1) Abigail is a knight\n(2) Oliver is a knight\n(3) Elizabeth is a knight\n(4) Emma is a knight\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 Abigail is a knight. No contradiction is found in their claim that Elizabeth is a knight or Mia is a knave.", "Assume Elizabeth 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 Mia is a knight if and only if Oliver is a knave.", "Mia cannot be a knight, because this would contradict the claim of their own that Elizabeth is not a knight.", "Assume Mia is a knave. No contradiction is found in their false claim that Elizabeth is not a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that Abigail is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 2), ('lying', 4)), ('not', ('lying', 0)), ('telling-truth', 3), ('<=>', ('telling-truth', 4), ('lying', 1)), ('not', ('telling-truth', 2)))", "index": 767}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Mason, David, Samuel, Aria, and Zoey. Mason asserted: \"Samuel is a knave and David is a knave\". David told you that Aria is a knave. Samuel said, \"If Aria is a knight then David is a knight.\" According to Aria, \"Zoey is a knave or Aria is a knight\". In Zoey's words: \"If Samuel is a knight then Samuel is a knave\". So who is a knight and who is a knave?", "names": ["Mason", "David", "Samuel", "Aria", "Zoey"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, true], "solution_text": "Mason is a knight, David is a knave, Samuel is a knave, Aria is a knight, and Zoey is a knight.", "solution_text_format": "(1) Mason is a knight\n(2) David is a knave\n(3) Samuel is a knave\n(4) Aria is a knight\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 Mason is a knight. No contradiction is found in their claim that Samuel is a knave and David is a knave.", "Samuel cannot be a knight, because this would contradict the claim of Mason that Samuel is a knave and David is a knave.", "Assume Samuel is a knave. No contradiction is found in their false claim that If Aria is a knight then David is a knight.", "Assume Aria is a knight. No contradiction is found in their claim that Zoey is a knave or Aria is a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that If Samuel is a knight then Samuel is a knave.", "David cannot be a knight, because this would contradict the claim of Mason that Samuel is a knave and David is a knave.", "Assume David is a knave. No contradiction is found in their false claim that Aria is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('lying', 1)), ('lying', 3), ('->', ('telling-truth', 3), ('telling-truth', 1)), ('or', ('lying', 4), ('telling-truth', 3)), ('->', ('telling-truth', 2), ('lying', 2)))", "index": 768}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Amelia, Owen, Jackson, Aurora, and Lily. \"Aurora is a knave,\" Amelia claimed. In a statement by Owen: \"Aurora is a knight if and only if Amelia is a knight\". Jackson said, \"If Aurora is a knave then Owen is a knave.\" \"Aurora is a knight or Lily is a knave,\" Aurora declared. Lily stated, \"Jackson is a knave and Aurora is a knave\". So who is a knight and who is a knave?", "names": ["Amelia", "Owen", "Jackson", "Aurora", "Lily"], "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": "Amelia is a knave, Owen is a knave, Jackson is a knight, Aurora is a knight, and Lily is a knave.", "solution_text_format": "(1) Amelia is a knave\n(2) Owen is a knave\n(3) Jackson is a knight\n(4) Aurora 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 Amelia is a knight. No contradiction is found in their claim that Aurora is a knave.", "Aurora cannot be a knight, because this would contradict the claim of Amelia that Aurora is a knave.", "Assume Aurora is a knave. No contradiction is found in their false claim that Aurora is a knight or Lily is a knave.", "Assume Lily is a knight. No contradiction is found in their claim that Jackson is a knave and Aurora is a knave.", "Jackson cannot be a knight, because this would contradict the claim of Lily that Jackson is a knave and Aurora is a knave.", "Assume Jackson is a knave. No contradiction is found in their false claim that If Aurora is a knave then Owen is a knave.", "Owen cannot be a knight, because this would contradict the claim of their own that Aurora is a knight if and only if Amelia is a knight.", "Owen cannot be a knave, because this would contradict the false claim of Jackson that If Aurora is a knave then Owen is a knave.", "We have exhausted all possibilities for Owen and Jackson, so let us go back and reconsider Lily.", "Lily cannot be a knave, because this would contradict the false claim of Aurora that Aurora is a knight or Lily is a knave.", "We have exhausted all possibilities for Lily and Aurora, so let us go back and reconsider Amelia.", "Assume Amelia is a knave. No contradiction is found in their false claim that Aurora is a knave.", "Assume Aurora is a knight. No contradiction is found in their claim that Aurora is a knight or Lily is a knave.", "Lily cannot be a knight, because this would contradict the claim of their own that Jackson is a knave and Aurora is a knave.", "Assume Lily is a knave. No contradiction is found in their false claim that Jackson is a knave and Aurora is a knave.", "Assume Jackson is a knight. No contradiction is found in their claim that If Aurora is a knave then Owen is a knave.", "Owen cannot be a knight, because this would contradict the claim of their own that Aurora is a knight if and only if Amelia is a knight.", "Assume Owen is a knave. No contradiction is found in their false claim that Aurora is a knight if and only if Amelia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 3), ('<=>', ('telling-truth', 3), ('telling-truth', 0)), ('->', ('lying', 3), ('lying', 1)), ('or', ('telling-truth', 3), ('lying', 4)), ('and', ('lying', 2), ('lying', 3)))", "index": 769}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Jack, Elizabeth, Ella, Amelia, and Victoria. Jack expressed that Amelia is a knave if and only if Ella is a knight. Elizabeth said that Amelia is a knave and Victoria is a knave. Ella said that Elizabeth is a knight or Ella is a knight. Amelia said, \"Ella is a knight and Ella is a knave.\" \"If Amelia is a knave then Amelia is a knight\" - Victoria. So who is a knight and who is a knave?", "names": ["Jack", "Elizabeth", "Ella", "Amelia", "Victoria"], "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": "Jack is a knight, Elizabeth is a knight, Ella is a knight, Amelia is a knave, and Victoria is a knave.", "solution_text_format": "(1) Jack is a knight\n(2) Elizabeth is a knight\n(3) Ella is a knight\n(4) Amelia is a knave\n(5) Victoria is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jack is a knight. No contradiction is found in their claim that Amelia is a knave if and only if Ella is a knight.", "Amelia cannot be a knight, because this would contradict the claim of their own that Ella is a knight and Ella is a knave.", "Assume Amelia is a knave. No contradiction is found in their false claim that Ella is a knight and Ella is a knave.", "Assume Ella is a knight. No contradiction is found in their claim that Elizabeth is a knight or Ella is a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Amelia is a knave and Victoria is a knave.", "Victoria cannot be a knight, because this would contradict the claim of Elizabeth that Amelia is a knave and Victoria is a knave.", "Assume Victoria is a knave. No contradiction is found in their false claim that If Amelia is a knave then Amelia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 3), ('telling-truth', 2)), ('and', ('lying', 3), ('lying', 4)), ('or', ('telling-truth', 1), ('telling-truth', 2)), ('and', ('telling-truth', 2), ('lying', 2)), ('->', ('lying', 3), ('telling-truth', 3)))", "index": 770}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Grace, Amelia, Elizabeth, Logan, and Oliver. Grace said that Oliver is a knight. Amelia said that Grace is a knave if and only if Elizabeth is a knight. \"Grace is a knight and Logan is a knight\" - Elizabeth. Logan said that If Oliver is a knight then Elizabeth is a knight. Oliver expressed that If Grace is a knight then Logan is a knave. So who is a knight and who is a knave?", "names": ["Grace", "Amelia", "Elizabeth", "Logan", "Oliver"], "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": "Grace is a knight, Amelia is a knight, Elizabeth is a knave, Logan is a knave, and Oliver is a knight.", "solution_text_format": "(1) Grace is a knight\n(2) Amelia is a knight\n(3) Elizabeth is a knave\n(4) Logan is a knave\n(5) Oliver is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Grace is a knight. No contradiction is found in their claim that Oliver is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that If Grace is a knight then Logan is a knave.", "Logan cannot be a knight, because this would contradict the claim of Oliver that If Grace is a knight then Logan is a knave.", "Assume Logan is a knave. No contradiction is found in their false claim that If Oliver is a knight then Elizabeth is a knight.", "Elizabeth cannot be a knight, because this would contradict the claim of their own that Grace is a knight and Logan is a knight.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Grace is a knight and Logan is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that Grace is a knave if and only if Elizabeth is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 4), ('<=>', ('lying', 0), ('telling-truth', 2)), ('and', ('telling-truth', 0), ('telling-truth', 3)), ('->', ('telling-truth', 4), ('telling-truth', 2)), ('->', ('telling-truth', 0), ('lying', 3)))", "index": 771}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Mason, Sebastian, Logan, Ava, and Matthew. In Mason's words: \"Sebastian is a knave if and only if Logan is a knight\". Sebastian asserted: \"Logan is not a knave\". \"Mason is a knave,\" Logan claimed. Ava said that Logan is a knight. Matthew told you that If Mason is a knave then Sebastian is a knight. So who is a knight and who is a knave?", "names": ["Mason", "Sebastian", "Logan", "Ava", "Matthew"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, true], "solution_text": "Mason is a knave, Sebastian is a knight, Logan is a knight, Ava is a knight, and Matthew is a knight.", "solution_text_format": "(1) Mason is a knave\n(2) Sebastian is a knight\n(3) Logan is a knight\n(4) Ava 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 Mason is a knight. No contradiction is found in their claim that Sebastian is a knave if and only if Logan is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Logan is not a knave.", "Logan cannot be a knight, because this would contradict the claim of Mason that Sebastian is a knave if and only if Logan is a knight.", "Logan cannot be a knave, because this would contradict the claim of Sebastian that Logan is not a knave.", "We have exhausted all possibilities for Logan, so let us go back and reconsider Sebastian.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Logan is not a knave.", "Logan cannot be a knight, because this would contradict the false claim of Sebastian that Logan is not a knave.", "Logan cannot be a knave, because this would contradict the claim of Mason that Sebastian is a knave if and only if Logan is a knight.", "We have exhausted all possibilities for Logan and Sebastian, so let us go back and reconsider Mason.", "Assume Mason is a knave. No contradiction is found in their false claim that Sebastian is a knave if and only if Logan is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Logan is not a knave.", "Assume Logan is a knight. No contradiction is found in their claim that Mason is a knave.", "Assume Ava is a knight. No contradiction is found in their claim that Logan is a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that If Mason is a knave then Sebastian is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('telling-truth', 2)), ('not', ('lying', 2)), ('lying', 0), ('telling-truth', 2), ('->', ('lying', 0), ('telling-truth', 1)))", "index": 772}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Emma, Evelyn, Benjamin, Elizabeth, and Chloe. In Emma's words: \"Evelyn is a knight and Elizabeth is a knight\". In Evelyn's words: \"Chloe is not a knight\". \"Evelyn is a knight\" - Benjamin. \"Evelyn is a knight and Benjamin is a knight,\" Elizabeth mentioned. Chloe asserted: \"Emma is a knight if and only if Elizabeth is a knight\". So who is a knight and who is a knave?", "names": ["Emma", "Evelyn", "Benjamin", "Elizabeth", "Chloe"], "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": "Emma is a knave, Evelyn is a knave, Benjamin is a knave, Elizabeth is a knave, and Chloe is a knight.", "solution_text_format": "(1) Emma is a knave\n(2) Evelyn is a knave\n(3) Benjamin is a knave\n(4) Elizabeth 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 Emma is a knight. No contradiction is found in their claim that Evelyn is a knight and Elizabeth is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that Chloe is not a knight.", "Chloe cannot be a knight, because this would contradict the claim of Evelyn that Chloe is not a knight.", "Assume Chloe is a knave. No contradiction is found in their false claim that Emma is a knight if and only if Elizabeth is a knight.", "Elizabeth cannot be a knight, because this would contradict the false claim of Chloe that Emma is a knight if and only if Elizabeth is a knight.", "Elizabeth cannot be a knave, because this would contradict the claim of Emma that Evelyn is a knight and Elizabeth is a knight.", "We have exhausted all possibilities for Elizabeth and Chloe, so let us go back and reconsider Evelyn.", "Evelyn cannot be a knave, because this would contradict the claim of Emma that Evelyn is a knight and Elizabeth is a knight.", "We have exhausted all possibilities for Evelyn, so let us go back and reconsider Emma.", "Assume Emma is a knave. No contradiction is found in their false claim that Evelyn is a knight and Elizabeth is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that Chloe is not a knight.", "Chloe cannot be a knight, because this would contradict the claim of Evelyn that Chloe is not a knight.", "Assume Chloe is a knave. No contradiction is found in their false claim that Emma is a knight if and only if Elizabeth is a knight.", "Elizabeth cannot be a knight, because this would contradict the false claim of Emma that Evelyn is a knight and Elizabeth is a knight.", "Elizabeth cannot be a knave, because this would contradict the false claim of Chloe that Emma is a knight if and only if Elizabeth is a knight.", "We have exhausted all possibilities for Elizabeth and Chloe, so let us go back and reconsider Evelyn.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Chloe is not a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that Emma 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 Evelyn is a knight and Benjamin is a knight.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Evelyn is a knight and Benjamin is a knight.", "Benjamin cannot be a knight, because this would contradict the claim of their own that Evelyn is a knight.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Evelyn is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('telling-truth', 3)), ('not', ('telling-truth', 4)), ('telling-truth', 1), ('and', ('telling-truth', 1), ('telling-truth', 2)), ('<=>', ('telling-truth', 0), ('telling-truth', 3)))", "index": 773}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aria, Owen, Grace, Sebastian, and Abigail. According to Aria, \"Sebastian is a knave if and only if Owen is a knave\". In Owen's words: \"Aria is a knave\". \"Owen is a knight if and only if Aria is a knave,\" Grace mentioned. \"Grace is a knight if and only if Aria is a knight,\" Sebastian mentioned. As Abigail put it, \"If Aria is a knight then Aria is a knave\". So who is a knight and who is a knave?", "names": ["Aria", "Owen", "Grace", "Sebastian", "Abigail"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false, true], "solution_text": "Aria is a knave, Owen is a knight, Grace is a knight, Sebastian is a knave, and Abigail is a knight.", "solution_text_format": "(1) Aria is a knave\n(2) Owen is a knight\n(3) Grace is a knight\n(4) Sebastian 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 Aria is a knight. No contradiction is found in their claim that Sebastian is a knave if and only if Owen is a knave.", "Assume Sebastian is a knight. No contradiction is found in their claim that Grace is a knight if and only if Aria is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that Owen is a knight if and only if Aria is a knave.", "Owen cannot be a knight, because this would contradict the claim of their own that Aria is a knave.", "Owen cannot be a knave, because this would contradict the claim of Aria that Sebastian is a knave if and only if Owen is a knave.", "We have exhausted all possibilities for Owen, so let us go back and reconsider Grace.", "Grace cannot be a knave, because this would contradict the claim of Sebastian that Grace is a knight if and only if Aria is a knight.", "We have exhausted all possibilities for Grace, so let us go back and reconsider Sebastian.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Grace is a knight if and only if Aria is a knight.", "Grace cannot be a knight, because this would contradict the false claim of Sebastian that Grace is a knight if and only if Aria is a knight.", "Assume Grace is a knave. No contradiction is found in their false claim that Owen is a knight if and only if Aria is a knave.", "Owen cannot be a knight, because this would contradict the claim of Aria that Sebastian is a knave if and only if Owen is a knave.", "Owen cannot be a knave, because this would contradict the false claim of Grace that Owen is a knight if and only if Aria is a knave.", "We have exhausted all possibilities for Owen, Grace, and Sebastian, so let us go back and reconsider Aria.", "Assume Aria is a knave. No contradiction is found in their false claim that Sebastian is a knave if and only if Owen is a knave.", "Assume Sebastian is a knight. No contradiction is found in their claim that Grace is a knight if and only if Aria is a knight.", "Grace cannot be a knight, because this would contradict the claim of Sebastian that Grace is a knight if and only if Aria is a knight.", "Assume Grace is a knave. No contradiction is found in their false claim that Owen is a knight if and only if Aria is a knave.", "Owen cannot be a knight, because this would contradict the false claim of Aria that Sebastian is a knave if and only if Owen is a knave.", "Owen cannot be a knave, because this would contradict the false claim of their own that Aria is a knave.", "We have exhausted all possibilities for Owen and Grace, so let us go back and reconsider Sebastian.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Grace is a knight if and only if Aria is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that Owen is a knight if and only if Aria is a knave.", "Assume Owen is a knight. No contradiction is found in their claim that Aria 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 knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 3), ('lying', 1)), ('lying', 0), ('<=>', ('telling-truth', 1), ('lying', 0)), ('<=>', ('telling-truth', 2), ('telling-truth', 0)), ('->', ('telling-truth', 0), ('lying', 0)))", "index": 774}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Evelyn, Ella, Mia, Aria, and Samuel. Evelyn remarked, \"Aria is a knave\". Ella said, \"Mia is a knight or Evelyn is a knave.\" Mia stated, \"Evelyn is a knight if and only if Ella is a knight\". \"Evelyn is a knight or Aria is a knight,\" Aria mentioned. Samuel asserted: \"Samuel is a knight or Ella is a knight\". So who is a knight and who is a knave?", "names": ["Evelyn", "Ella", "Mia", "Aria", "Samuel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true, true], "solution_text": "Evelyn is a knave, Ella is a knight, Mia is a knave, Aria is a knight, and Samuel is a knight.", "solution_text_format": "(1) Evelyn is a knave\n(2) Ella is a knight\n(3) Mia is a knave\n(4) Aria is a knight\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 Evelyn is a knight. No contradiction is found in their claim that Aria is a knave.", "Aria cannot be a knight, because this would contradict the claim of Evelyn that Aria is a knave.", "Aria cannot be a knave, because this would contradict the false claim of their own that Evelyn is a knight or Aria is a knight.", "We have exhausted all possibilities for Aria, so let us go back and reconsider Evelyn.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Aria is a knave.", "Assume Aria is a knight. No contradiction is found in their claim that Evelyn is a knight or Aria is a knight.", "Assume Ella is a knight. No contradiction is found in their claim that Mia is a knight or Evelyn is a knave.", "Mia cannot be a knight, because this would contradict the claim of their own that Evelyn is a knight if and only if Ella is a knight.", "Assume Mia is a knave. No contradiction is found in their false claim that Evelyn is a knight if and only if Ella is a knight.", "Assume Samuel is a knight. No contradiction is found in their claim that Samuel is a knight or Ella is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 3), ('or', ('telling-truth', 2), ('lying', 0)), ('<=>', ('telling-truth', 0), ('telling-truth', 1)), ('or', ('telling-truth', 0), ('telling-truth', 3)), ('or', ('telling-truth', 4), ('telling-truth', 1)))", "index": 775}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Joseph, Owen, Chloe, Jackson, and James. In a statement by Joseph: \"If Owen is a knight then Jackson is a knave\". Owen remarked, \"Chloe is not a knave\". Chloe was heard saying, \"Joseph is a knave\". Jackson asserted: \"Owen is a knave if and only if Chloe is a knight\". \"Owen is a knight if and only if Joseph is a knight,\" James mentioned. So who is a knight and who is a knave?", "names": ["Joseph", "Owen", "Chloe", "Jackson", "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": "Joseph is a knight, Owen is a knave, Chloe is a knave, Jackson is a knave, and James is a knave.", "solution_text_format": "(1) Joseph is a knight\n(2) Owen is a knave\n(3) Chloe is a knave\n(4) Jackson 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 Joseph is a knight. No contradiction is found in their claim that If Owen is a knight then Jackson is a knave.", "Assume Owen is a knight. No contradiction is found in their claim that Chloe is not a knave.", "Chloe cannot be a knight, because this would contradict the claim of their own that Joseph is a knave.", "Chloe cannot be a knave, because this would contradict the claim of Owen that Chloe is not a knave.", "We have exhausted all possibilities for Chloe, so let us go back and reconsider Owen.", "Assume Owen is a knave. No contradiction is found in their false claim that Chloe is not a knave.", "Chloe cannot be a knight, because this would contradict the false claim of Owen that Chloe is not a knave.", "Assume Chloe is a knave. No contradiction is found in their false claim that Joseph is a knave.", "Jackson cannot be a knight, because this would contradict the claim of their own that Owen is a knave if and only if Chloe is a knight.", "Assume Jackson is a knave. No contradiction is found in their false claim that Owen is a knave if and only if Chloe is a knight.", "James cannot be a knight, because this would contradict the claim of their own that Owen is a knight if and only if Joseph is a knight.", "Assume James is a knave. No contradiction is found in their false claim that Owen is a knight if and only if Joseph is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 1), ('lying', 3)), ('not', ('lying', 2)), ('lying', 0), ('<=>', ('lying', 1), ('telling-truth', 2)), ('<=>', ('telling-truth', 1), ('telling-truth', 0)))", "index": 776}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aiden, Ella, Jack, Lily, and Charlotte. As Aiden put it, \"Lily is a knight or Lily is a knave\". Ella asserted: \"Aiden is a knight or Lily is a knave\". Jack remarked, \"Lily is a knight\". Lily was heard saying, \"Jack is a knave if and only if Jack is a knight\". Charlotte asserted: \"Aiden is a knight or Lily is a knave\". So who is a knight and who is a knave?", "names": ["Aiden", "Ella", "Jack", "Lily", "Charlotte"], "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": "Aiden is a knight, Ella is a knight, Jack is a knave, Lily is a knave, and Charlotte is a knight.", "solution_text_format": "(1) Aiden is a knight\n(2) Ella is a knight\n(3) Jack is a knave\n(4) Lily 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 Aiden is a knight. No contradiction is found in their claim that Lily is a knight or Lily is a knave.", "Lily cannot be a knight, because this would contradict the claim of their own that Jack is a knave if and only if Jack is a knight.", "Assume Lily is a knave. No contradiction is found in their false claim that Jack is a knave if and only if Jack is a knight.", "Jack cannot be a knight, because this would contradict the claim of their own that Lily is a knight.", "Assume Jack is a knave. No contradiction is found in their false claim that Lily is a knight.", "Assume Ella is a knight. No contradiction is found in their claim that Aiden is a knight or Lily is a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that Aiden is a knight or Lily is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 3), ('lying', 3)), ('or', ('telling-truth', 0), ('lying', 3)), ('telling-truth', 3), ('<=>', ('lying', 2), ('telling-truth', 2)), ('or', ('telling-truth', 0), ('lying', 3)))", "index": 777}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Noah, Emily, Riley, Ethan, and James. In a statement by Noah: \"Emily is not a knight\". \"Noah is a knight and Emily is a knight,\" Emily mentioned. Riley commented, \"Noah is a knave and Ethan is a knave\". Ethan commented, \"Riley is a knight if and only if Emily is a knave\". James remarked, \"Noah is a knave or Ethan is a knight\". So who is a knight and who is a knave?", "names": ["Noah", "Emily", "Riley", "Ethan", "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": "Noah is a knight, Emily is a knave, Riley is a knave, Ethan is a knave, and James is a knave.", "solution_text_format": "(1) Noah is a knight\n(2) Emily is a knave\n(3) Riley is a knave\n(4) Ethan 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 Noah is a knight. No contradiction is found in their claim that Emily is not a knight.", "Emily cannot be a knight, because this would contradict the claim of Noah that Emily is not a knight.", "Assume Emily is a knave. No contradiction is found in their false claim that Noah is a knight and Emily is a knight.", "Riley cannot be a knight, because this would contradict the claim of their own that Noah is a knave and Ethan is a knave.", "Assume Riley is a knave. No contradiction is found in their false claim that Noah is a knave and Ethan is a knave.", "Ethan cannot be a knight, because this would contradict the claim of their own that Riley is a knight if and only if Emily is a knave.", "Assume Ethan is a knave. No contradiction is found in their false claim that Riley is a knight if and only if Emily is a knave.", "James cannot be a knight, because this would contradict the claim of their own that Noah is a knave or Ethan is a knight.", "Assume James is a knave. No contradiction is found in their false claim that Noah is a knave or Ethan is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('and', ('telling-truth', 0), ('telling-truth', 1)), ('and', ('lying', 0), ('lying', 3)), ('<=>', ('telling-truth', 2), ('lying', 1)), ('or', ('lying', 0), ('telling-truth', 3)))", "index": 778}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Benjamin, Penelope, Oliver, Ella, and Emily. In a statement by Benjamin: \"Oliver is a knight\". \"Oliver is not a knight,\" Penelope claimed. Oliver expressed that Benjamin is a knight and Penelope is a knight. \"If Oliver is a knight then Oliver is a knave\" - Ella. Emily expressed that If Ella is a knight then Oliver is a knave. So who is a knight and who is a knave?", "names": ["Benjamin", "Penelope", "Oliver", "Ella", "Emily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true, true], "solution_text": "Benjamin is a knave, Penelope is a knight, Oliver is a knave, Ella is a knight, and Emily is a knight.", "solution_text_format": "(1) Benjamin is a knave\n(2) Penelope is a knight\n(3) Oliver is a knave\n(4) Ella is a knight\n(5) Emily is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Benjamin is a knight. No contradiction is found in their claim that Oliver is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that Benjamin is a knight and Penelope is a knight.", "Penelope cannot be a knight, because this would contradict the claim of their own that Oliver is not a knight.", "Penelope cannot be a knave, because this would contradict the claim of Oliver that Benjamin is a knight and Penelope is a knight.", "We have exhausted all possibilities for Penelope, so let us go back and reconsider Oliver.", "Oliver cannot be a knave, because this would contradict the claim of Benjamin that Oliver is a knight.", "We have exhausted all possibilities for Oliver, so let us go back and reconsider Benjamin.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Oliver is a knight.", "Oliver cannot be a knight, because this would contradict the false claim of Benjamin that Oliver is a knight.", "Assume Oliver is a knave. No contradiction is found in their false claim that Benjamin is a knight and Penelope is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that Oliver is not a knight.", "Assume Ella is a knight. No contradiction is found in their claim that If Oliver is a knight then Oliver is a knave.", "Assume Emily is a knight. No contradiction is found in their claim that If Ella is a knight then Oliver is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 2), ('not', ('telling-truth', 2)), ('and', ('telling-truth', 0), ('telling-truth', 1)), ('->', ('telling-truth', 2), ('lying', 2)), ('->', ('telling-truth', 3), ('lying', 2)))", "index": 779}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Henry, Chloe, Aiden, Scarlett, and Lily. Henry commented, \"Henry is a knight or Chloe is a knave\". \"If Chloe is a knight then Henry is a knave,\" Chloe mentioned. \"Henry is a knave,\" Aiden claimed. According to Scarlett, \"Henry is a knave and Aiden is a knight\". As Lily put it, \"Chloe is a knave and Scarlett is a knight\". So who is a knight and who is a knave?", "names": ["Henry", "Chloe", "Aiden", "Scarlett", "Lily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, false], "solution_text": "Henry is a knave, Chloe is a knight, Aiden is a knight, Scarlett is a knight, and Lily is a knave.", "solution_text_format": "(1) Henry is a knave\n(2) Chloe is a knight\n(3) Aiden is a knight\n(4) Scarlett 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 Henry is a knight. No contradiction is found in their claim that Henry is a knight or Chloe is a knave.", "Chloe cannot be a knight, because this would contradict the claim of their own that If Chloe is a knight then Henry is a knave.", "Chloe cannot be a knave, because this would contradict the false claim of their own that If Chloe is a knight then Henry is a knave.", "We have exhausted all possibilities for Chloe, so let us go back and reconsider Henry.", "Assume Henry is a knave. No contradiction is found in their false claim that Henry is a knight or Chloe is a knave.", "Assume Chloe is a knight. No contradiction is found in their claim that If Chloe is a knight then Henry is a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that Henry is a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that Henry is a knave and Aiden is a knight.", "Lily cannot be a knight, because this would contradict the claim of their own that Chloe is a knave and Scarlett is a knight.", "Assume Lily is a knave. No contradiction is found in their false claim that Chloe is a knave and Scarlett is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 0), ('lying', 1)), ('->', ('telling-truth', 1), ('lying', 0)), ('lying', 0), ('and', ('lying', 0), ('telling-truth', 2)), ('and', ('lying', 1), ('telling-truth', 3)))", "index": 780}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Elizabeth, Owen, Emily, Lucas, and James. Elizabeth said, \"Elizabeth is a knight or James is a knight.\" Owen told you that Emily is a knight if and only if Emily is a knave. Emily said, \"Lucas is a knave.\" Lucas told you that Elizabeth is not a knave. As James put it, \"If Elizabeth is a knight then Emily is a knave\". So who is a knight and who is a knave?", "names": ["Elizabeth", "Owen", "Emily", "Lucas", "James"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, true], "solution_text": "Elizabeth is a knight, Owen is a knave, Emily is a knave, Lucas is a knight, and James is a knight.", "solution_text_format": "(1) Elizabeth is a knight\n(2) Owen is a knave\n(3) Emily is a knave\n(4) Lucas is a knight\n(5) James is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Elizabeth is a knight. No contradiction is found in their claim that Elizabeth is a knight or James is a knight.", "Assume James is a knight. No contradiction is found in their claim that If Elizabeth is a knight then Emily is a knave.", "Emily cannot be a knight, because this would contradict the claim of James that If Elizabeth is a knight then Emily is a knave.", "Assume Emily is a knave. No contradiction is found in their false claim that Lucas is a knave.", "Assume Lucas is a knight. No contradiction is found in their claim that Elizabeth is not a knave.", "Owen cannot be a knight, because this would contradict the claim of their own that Emily is a knight if and only if Emily is a knave.", "Assume Owen is a knave. No contradiction is found in their false claim that Emily is a knight if and only if Emily is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 0), ('telling-truth', 4)), ('<=>', ('telling-truth', 2), ('lying', 2)), ('lying', 3), ('not', ('lying', 0)), ('->', ('telling-truth', 0), ('lying', 2)))", "index": 781}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Harper, Scarlett, Sebastian, William, and Aurora. Harper asserted: \"Aurora is a knave or Scarlett is a knave\". Scarlett noted, \"Aurora is a knight if and only if Sebastian is a knave\". \"William is a knight and Harper is a knight,\" Sebastian claimed. \"Harper is a knight,\" William mentioned. Aurora noted, \"William is not a knave\". So who is a knight and who is a knave?", "names": ["Harper", "Scarlett", "Sebastian", "William", "Aurora"], "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": "Harper is a knight, Scarlett is a knave, Sebastian is a knight, William is a knight, and Aurora is a knight.", "solution_text_format": "(1) Harper is a knight\n(2) Scarlett is a knave\n(3) Sebastian is a knight\n(4) William 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 Harper is a knight. No contradiction is found in their claim that Aurora is a knave or Scarlett is a knave.", "Assume Aurora is a knight. No contradiction is found in their claim that William is not a knave.", "Assume William is a knight. No contradiction is found in their claim that Harper is a knight.", "Scarlett cannot be a knight, because this would contradict the claim of Harper that Aurora is a knave or Scarlett is a knave.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Aurora is a knight if and only if Sebastian is a knave.", "Assume Sebastian is a knight. No contradiction is found in their claim that William is a knight and Harper is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 4), ('lying', 1)), ('<=>', ('telling-truth', 4), ('lying', 2)), ('and', ('telling-truth', 3), ('telling-truth', 0)), ('telling-truth', 0), ('not', ('lying', 3)))", "index": 782}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Abigail, Ava, Luke, Sofia, and Evelyn. Abigail said that If Abigail is a knight then Ava is a knave. \"Sofia is a knave and Ava is a knight\" - Ava. \"Sofia is a knight or Ava is a knave,\" Luke mentioned. Sofia said, \"If Abigail is a knight then Luke is a knight.\" Evelyn was heard saying, \"Luke is a knave if and only if Ava is a knave\". So who is a knight and who is a knave?", "names": ["Abigail", "Ava", "Luke", "Sofia", "Evelyn"], "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": "Abigail is a knight, Ava is a knave, Luke is a knight, Sofia is a knight, and Evelyn is a knave.", "solution_text_format": "(1) Abigail is a knight\n(2) Ava is a knave\n(3) Luke is a knight\n(4) Sofia is a knight\n(5) Evelyn is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Abigail is a knight. No contradiction is found in their claim that If Abigail is a knight then Ava is a knave.", "Ava cannot be a knight, because this would contradict the claim of Abigail that If Abigail is a knight then Ava is a knave.", "Assume Ava is a knave. No contradiction is found in their false claim that Sofia is a knave and Ava is a knight.", "Assume Sofia is a knight. No contradiction is found in their claim that If Abigail is a knight then Luke is a knight.", "Assume Luke is a knight. No contradiction is found in their claim that Sofia is a knight or Ava is a knave.", "Evelyn cannot be a knight, because this would contradict the claim of their own that Luke is a knave if and only if Ava is a knave.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Luke is a knave if and only if Ava is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 0), ('lying', 1)), ('and', ('lying', 3), ('telling-truth', 1)), ('or', ('telling-truth', 3), ('lying', 1)), ('->', ('telling-truth', 0), ('telling-truth', 2)), ('<=>', ('lying', 2), ('lying', 1)))", "index": 783}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Daniel, Isabella, Sophia, Amelia, and Ava. Daniel said, \"Amelia is a knight if and only if Sophia is a knave.\" As Isabella put it, \"Sophia is a knave if and only if Ava is a knight\". Sophia stated, \"Isabella is not a knave\". In Amelia's words: \"Ava is a knave or Sophia is a knave\". \"Sophia is a knight,\" Ava claimed. So who is a knight and who is a knave?", "names": ["Daniel", "Isabella", "Sophia", "Amelia", "Ava"], "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": "Daniel is a knight, Isabella is a knave, Sophia is a knave, Amelia is a knight, and Ava is a knave.", "solution_text_format": "(1) Daniel is a knight\n(2) Isabella is a knave\n(3) Sophia is a knave\n(4) Amelia 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 Amelia is a knight if and only if Sophia is a knave.", "Assume Amelia is a knight. No contradiction is found in their claim that Ava is a knave or Sophia is a knave.", "Assume Ava is a knight. No contradiction is found in their claim that Sophia is a knight.", "Sophia cannot be a knight, because this would contradict the claim of Daniel that Amelia is a knight if and only if Sophia is a knave.", "Sophia cannot be a knave, because this would contradict the claim of Ava that Sophia is a knight.", "We have exhausted all possibilities for Sophia, so let us go back and reconsider Ava.", "Assume Ava is a knave. No contradiction is found in their false claim that Sophia is a knight.", "Sophia cannot be a knight, because this would contradict the claim of Daniel that Amelia is a knight if and only if Sophia is a knave.", "Assume Sophia is a knave. No contradiction is found in their false claim that Isabella is not a knave.", "Isabella cannot be a knight, because this would contradict the claim of their own that Sophia is a knave if and only if Ava is a knight.", "Assume Isabella is a knave. No contradiction is found in their false claim that Sophia is a knave if and only if Ava is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 3), ('lying', 2)), ('<=>', ('lying', 2), ('telling-truth', 4)), ('not', ('lying', 1)), ('or', ('lying', 4), ('lying', 2)), ('telling-truth', 2))", "index": 784}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Amelia, Emily, Alexander, Jacob, and Sophia. Amelia stated, \"Alexander is a knave\". Emily stated, \"Jacob is a knight or Alexander is a knight\". \"Jacob is a knight or Sophia is a knight,\" Alexander declared. Jacob said, \"Emily is not a knave.\" Sophia was heard saying, \"Jacob is a knave and Emily is a knave\". So who is a knight and who is a knave?", "names": ["Amelia", "Emily", "Alexander", "Jacob", "Sophia"], "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": "Amelia is a knave, Emily is a knight, Alexander is a knight, Jacob is a knight, and Sophia is a knave.", "solution_text_format": "(1) Amelia is a knave\n(2) Emily is a knight\n(3) Alexander is a knight\n(4) Jacob is a knight\n(5) Sophia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Amelia is a knight. No contradiction is found in their claim that Alexander is a knave.", "Alexander cannot be a knight, because this would contradict the claim of Amelia that Alexander is a knave.", "Assume Alexander is a knave. No contradiction is found in their false claim that Jacob is a knight or Sophia is a knight.", "Jacob cannot be a knight, because this would contradict the false claim of Alexander that Jacob is a knight or Sophia is a knight.", "Assume Jacob is a knave. No contradiction is found in their false claim that Emily is not a knave.", "Emily cannot be a knight, because this would contradict the claim of their own that Jacob is a knight or Alexander is a knight.", "Assume Emily is a knave. No contradiction is found in their false claim that Jacob is a knight or Alexander is a knight.", "Sophia cannot be a knight, because this would contradict the false claim of Alexander that Jacob is a knight or Sophia is a knight.", "Sophia cannot be a knave, because this would contradict the false claim of their own that Jacob is a knave and Emily is a knave.", "We have exhausted all possibilities for Sophia, Emily, Jacob, and Alexander, so let us go back and reconsider Amelia.", "Assume Amelia is a knave. No contradiction is found in their false claim that Alexander is a knave.", "Assume Alexander is a knight. No contradiction is found in their claim that Jacob is a knight or Sophia is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that Emily is not a knave.", "Assume Emily is a knight. No contradiction is found in their claim that Jacob is a knight or Alexander is a knight.", "Sophia cannot be a knight, because this would contradict the claim of their own that Jacob is a knave and Emily is a knave.", "Assume Sophia is a knave. No contradiction is found in their false claim that Jacob is a knave and Emily is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 2), ('or', ('telling-truth', 3), ('telling-truth', 2)), ('or', ('telling-truth', 3), ('telling-truth', 4)), ('not', ('lying', 1)), ('and', ('lying', 3), ('lying', 1)))", "index": 785}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Emily, Jacob, Aiden, Liam, and Grace. Emily remarked, \"Aiden is a knight or Jacob is a knight\". Jacob was heard saying, \"Jacob is a knight and Emily is a knight\". In a statement by Aiden: \"Liam is a knave and Jacob is a knight\". \"Aiden is a knight\" - Liam. Grace expressed that Jacob is not a knave. So who is a knight and who is a knave?", "names": ["Emily", "Jacob", "Aiden", "Liam", "Grace"], "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": "Emily is a knave, Jacob is a knave, Aiden is a knave, Liam is a knave, and Grace is a knave.", "solution_text_format": "(1) Emily is a knave\n(2) Jacob is a knave\n(3) Aiden is a knave\n(4) Liam is a knave\n(5) Grace is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Emily is a knight. No contradiction is found in their claim that Aiden is a knight or Jacob is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that Liam is a knave and Jacob is a knight.", "Liam cannot be a knight, because this would contradict the claim of Aiden that Liam is a knave and Jacob is a knight.", "Liam cannot be a knave, because this would contradict the false claim of their own that Aiden is a knight.", "We have exhausted all possibilities for Liam, so let us go back and reconsider Aiden.", "Assume Aiden is a knave. No contradiction is found in their false claim that Liam is a knave and Jacob is a knight.", "Liam cannot be a knight, because this would contradict the claim of their own that Aiden is a knight.", "Assume Liam is a knave. No contradiction is found in their false claim that Aiden is a knight.", "Jacob cannot be a knight, because this would contradict the false claim of Aiden that Liam is a knave and Jacob is a knight.", "Jacob cannot be a knave, because this would contradict the claim of Emily that Aiden is a knight or Jacob is a knight.", "We have exhausted all possibilities for Jacob, Liam, and Aiden, so let us go back and reconsider Emily.", "Assume Emily is a knave. No contradiction is found in their false claim that Aiden is a knight or Jacob is a knight.", "Aiden cannot be a knight, because this would contradict the false claim of Emily that Aiden is a knight or Jacob is a knight.", "Assume Aiden is a knave. No contradiction is found in their false claim that Liam is a knave and Jacob is a knight.", "Liam cannot be a knight, because this would contradict the claim of their own that Aiden is a knight.", "Assume Liam is a knave. No contradiction is found in their false claim that Aiden is a knight.", "Jacob cannot be a knight, because this would contradict the false claim of Emily that Aiden is a knight or Jacob is a knight.", "Assume Jacob is a knave. No contradiction is found in their false claim that Jacob is a knight and Emily is a knight.", "Grace cannot be a knight, because this would contradict the claim of their own that Jacob is not a knave.", "Assume Grace is a knave. No contradiction is found in their false claim that Jacob is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 2), ('telling-truth', 1)), ('and', ('telling-truth', 1), ('telling-truth', 0)), ('and', ('lying', 3), ('telling-truth', 1)), ('telling-truth', 2), ('not', ('lying', 1)))", "index": 786}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: David, Chloe, Aiden, Jack, and Elizabeth. As David put it, \"If Jack is a knave then Elizabeth is a knave\". \"Elizabeth is a knave or David is a knave\" - Chloe. Aiden said that Jack is a knave if and only if Jack is a knight. According to Jack, \"David is a knave and David is a knight\". According to Elizabeth, \"If Chloe is a knight then Chloe is a knave\". So who is a knight and who is a knave?", "names": ["David", "Chloe", "Aiden", "Jack", "Elizabeth"], "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, Chloe is a knight, Aiden is a knave, Jack is a knave, and Elizabeth is a knave.", "solution_text_format": "(1) David is a knight\n(2) Chloe is a knight\n(3) Aiden is a knave\n(4) Jack is a knave\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 David is a knight. No contradiction is found in their claim that If Jack is a knave then Elizabeth is a knave.", "Jack cannot be a knight, because this would contradict the claim of their own that David is a knave and David is a knight.", "Assume Jack is a knave. No contradiction is found in their false claim that David is a knave and David is a knight.", "Elizabeth cannot be a knight, because this would contradict the claim of David that If Jack is a knave then Elizabeth is a knave.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that If Chloe is a knight then Chloe is a knave.", "Assume Chloe is a knight. No contradiction is found in their claim that Elizabeth is a knave or David is a knave.", "Aiden cannot be a knight, because this would contradict the claim of their own that Jack is a knave if and only if Jack is a knight.", "Assume Aiden is a knave. No contradiction is found in their false claim that Jack is a knave if and only if Jack is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 3), ('lying', 4)), ('or', ('lying', 4), ('lying', 0)), ('<=>', ('lying', 3), ('telling-truth', 3)), ('and', ('lying', 0), ('telling-truth', 0)), ('->', ('telling-truth', 1), ('lying', 1)))", "index": 787}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: James, Chloe, Jack, William, and Ava. As James put it, \"If Ava is a knave then Chloe is a knave\". In a statement by Chloe: \"Ava is a knave or Jack is a knight\". \"Jack is a knight and Chloe is a knave,\" Jack mentioned. William commented, \"James is a knave or Chloe is a knave\". Ava told you that Jack is a knight and Jack is a knave. So who is a knight and who is a knave?", "names": ["James", "Chloe", "Jack", "William", "Ava"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true, false], "solution_text": "James is a knave, Chloe is a knight, Jack is a knave, William is a knight, and Ava is a knave.", "solution_text_format": "(1) James is a knave\n(2) Chloe is a knight\n(3) Jack is a knave\n(4) William 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 James is a knight. No contradiction is found in their claim that If Ava is a knave then Chloe is a knave.", "Ava cannot be a knight, because this would contradict the claim of their own that Jack is a knight and Jack is a knave.", "Assume Ava is a knave. No contradiction is found in their false claim that Jack is a knight and Jack is a knave.", "Assume Jack is a knight. No contradiction is found in their claim that Jack is a knight and Chloe is a knave.", "Chloe cannot be a knight, because this would contradict the claim of James that If Ava is a knave then Chloe is a knave.", "Chloe cannot be a knave, because this would contradict the false claim of their own that Ava is a knave or Jack is a knight.", "We have exhausted all possibilities for Chloe, so let us go back and reconsider Jack.", "Assume Jack is a knave. No contradiction is found in their false claim that Jack is a knight and Chloe is a knave.", "Chloe cannot be a knight, because this would contradict the claim of James that If Ava is a knave then Chloe is a knave.", "Chloe cannot be a knave, because this would contradict the false claim of their own that Ava is a knave or Jack is a knight.", "We have exhausted all possibilities for Chloe, Jack, and Ava, so let us go back and reconsider James.", "Assume James is a knave. No contradiction is found in their false claim that If Ava is a knave then Chloe is a knave.", "Ava cannot be a knight, because this would contradict the false claim of James that If Ava is a knave then Chloe is a knave.", "Assume Ava is a knave. No contradiction is found in their false claim that Jack is a knight and Jack is a knave.", "Assume Jack is a knight. No contradiction is found in their claim that Jack is a knight and Chloe is a knave.", "Chloe cannot be a knight, because this would contradict the claim of Jack that Jack is a knight and Chloe is a knave.", "Chloe cannot be a knave, because this would contradict the false claim of James that If Ava is a knave then Chloe is a knave.", "We have exhausted all possibilities for Chloe, so let us go back and reconsider Jack.", "Assume Jack is a knave. No contradiction is found in their false claim that Jack is a knight and Chloe is a knave.", "Assume Chloe is a knight. No contradiction is found in their claim that Ava is a knave or Jack is a knight.", "Assume William is a knight. No contradiction is found in their claim that James is a knave or Chloe is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 4), ('lying', 1)), ('or', ('lying', 4), ('telling-truth', 2)), ('and', ('telling-truth', 2), ('lying', 1)), ('or', ('lying', 0), ('lying', 1)), ('and', ('telling-truth', 2), ('lying', 2)))", "index": 788}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: James, Lucas, Ava, Mason, and Emily. James asserted: \"Emily is a knight and Emily is a knave\". Lucas told you that Lucas is a knight if and only if Mason is a knave. Ava expressed that Emily is a knave if and only if Lucas is a knave. According to Mason, \"If Lucas is a knight then James is a knight\". \"Mason is a knave if and only if Lucas is a knight,\" Emily mentioned. So who is a knight and who is a knave?", "names": ["James", "Lucas", "Ava", "Mason", "Emily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false, true], "solution_text": "James is a knave, Lucas is a knight, Ava is a knight, Mason is a knave, and Emily is a knight.", "solution_text_format": "(1) James is a knave\n(2) Lucas is a knight\n(3) Ava is a knight\n(4) Mason is a knave\n(5) 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": ["James cannot be a knight, because this would contradict the claim of their own that Emily is a knight and Emily is a knave.", "Assume James is a knave. No contradiction is found in their false claim that Emily is a knight and Emily is a knave.", "Assume Emily is a knight. No contradiction is found in their claim that Mason is a knave if and only if Lucas is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that If Lucas is a knight then James is a knight.", "Lucas cannot be a knight, because this would contradict the claim of their own that Lucas is a knight if and only if Mason is a knave.", "Lucas cannot be a knave, because this would contradict the false claim of their own that Lucas is a knight if and only if Mason is a knave.", "We have exhausted all possibilities for Lucas, so let us go back and reconsider Mason.", "Assume Mason is a knave. No contradiction is found in their false claim that If Lucas is a knight then James is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that Lucas is a knight if and only if Mason is a knave.", "Assume Ava is a knight. No contradiction is found in their claim that Emily is a knave if and only if Lucas is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 4), ('lying', 4)), ('<=>', ('telling-truth', 1), ('lying', 3)), ('<=>', ('lying', 4), ('lying', 1)), ('->', ('telling-truth', 1), ('telling-truth', 0)), ('<=>', ('lying', 3), ('telling-truth', 1)))", "index": 789}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: James, Harper, Ava, Mia, and Scarlett. \"If Ava is a knight then Mia is a knight,\" James claimed. Harper told you that Scarlett is a knight or Ava is a knave. Ava said, \"Mia is a knave and Harper is a knave.\" In a statement by Mia: \"Ava is a knight or James is a knave\". Scarlett told you that If Scarlett is a knight then Ava is a knave. So who is a knight and who is a knave?", "names": ["James", "Harper", "Ava", "Mia", "Scarlett"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false, true], "solution_text": "James is a knight, Harper is a knight, Ava is a knave, Mia is a knave, and Scarlett is a knight.", "solution_text_format": "(1) James is a knight\n(2) Harper is a knight\n(3) Ava is a knave\n(4) Mia 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 James is a knight. No contradiction is found in their claim that If Ava is a knight then Mia is a knight.", "Assume Ava is a knight. No contradiction is found in their claim that Mia is a knave and Harper is a knave.", "Mia cannot be a knight, because this would contradict the claim of Ava that Mia is a knave and Harper is a knave.", "Mia cannot be a knave, because this would contradict the claim of James that If Ava is a knight then Mia is a knight.", "We have exhausted all possibilities for Mia, so let us go back and reconsider Ava.", "Assume Ava is a knave. No contradiction is found in their false claim that Mia is a knave and Harper is a knave.", "Mia cannot be a knight, because this would contradict the claim of their own that Ava is a knight or James is a knave.", "Assume Mia is a knave. No contradiction is found in their false claim that Ava is a knight or James is a knave.", "Assume Harper is a knight. No contradiction is found in their claim that Scarlett is a knight or Ava is a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that If Scarlett is a knight then Ava is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 2), ('telling-truth', 3)), ('or', ('telling-truth', 4), ('lying', 2)), ('and', ('lying', 3), ('lying', 1)), ('or', ('telling-truth', 2), ('lying', 0)), ('->', ('telling-truth', 4), ('lying', 2)))", "index": 790}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Michael, David, Alexander, Zoey, and Penelope. \"Penelope is a knave and Alexander is a knave,\" Michael claimed. David remarked, \"Michael is not a knave\". Alexander told you that If Alexander is a knight then Michael is a knave. Zoey was heard saying, \"If Alexander is a knave then Michael is a knight\". In Penelope's words: \"David is a knave if and only if Alexander is a knave\". So who is a knight and who is a knave?", "names": ["Michael", "David", "Alexander", "Zoey", "Penelope"], "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": "Michael is a knave, David is a knave, Alexander is a knight, Zoey is a knight, and Penelope is a knave.", "solution_text_format": "(1) Michael is a knave\n(2) David is a knave\n(3) Alexander is a knight\n(4) Zoey 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 Michael is a knight. No contradiction is found in their claim that Penelope is a knave and Alexander is a knave.", "Penelope cannot be a knight, because this would contradict the claim of Michael that Penelope is a knave and Alexander is a knave.", "Assume Penelope is a knave. No contradiction is found in their false claim that David is a knave if and only if Alexander is a knave.", "Assume David is a knight. No contradiction is found in their claim that Michael is not a knave.", "Alexander cannot be a knight, because this would contradict the claim of Michael that Penelope is a knave and Alexander is a knave.", "Alexander cannot be a knave, because this would contradict the false claim of their own that If Alexander is a knight then Michael is a knave.", "We have exhausted all possibilities for Alexander, so let us go back and reconsider David.", "David cannot be a knave, because this would contradict the false claim of their own that Michael is not a knave.", "We have exhausted all possibilities for David and Penelope, so let us go back and reconsider Michael.", "Assume Michael is a knave. No contradiction is found in their false claim that Penelope is a knave and Alexander is a knave.", "Assume Penelope is a knight. No contradiction is found in their claim that David is a knave if and only if Alexander is a knave.", "David cannot be a knight, because this would contradict the claim of their own that Michael is not a knave.", "Assume David is a knave. No contradiction is found in their false claim that Michael is not a knave.", "Alexander cannot be a knight, because this would contradict the claim of Penelope that David is a knave if and only if Alexander is a knave.", "Alexander cannot be a knave, because this would contradict the false claim of their own that If Alexander is a knight then Michael is a knave.", "We have exhausted all possibilities for Alexander and David, so let us go back and reconsider Penelope.", "Assume Penelope is a knave. No contradiction is found in their false claim that David is a knave if and only if Alexander is a knave.", "David cannot be a knight, because this would contradict the claim of their own that Michael is not a knave.", "Assume David is a knave. No contradiction is found in their false claim that Michael is not a knave.", "Assume Alexander is a knight. No contradiction is found in their claim that If Alexander is a knight then Michael is a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that If Alexander is a knave then Michael is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 4), ('lying', 2)), ('not', ('lying', 0)), ('->', ('telling-truth', 2), ('lying', 0)), ('->', ('lying', 2), ('telling-truth', 0)), ('<=>', ('lying', 1), ('lying', 2)))", "index": 791}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Sebastian, Evelyn, Isabella, Riley, and Liam. Sebastian remarked, \"Liam is a knave or Riley is a knight\". Evelyn commented, \"Riley is a knave and Isabella is a knave\". Isabella commented, \"If Isabella is a knight then Liam is a knave\". Riley asserted: \"Isabella is a knight if and only if Evelyn is a knave\". Liam noted, \"Isabella is a knave and Evelyn is a knight\". So who is a knight and who is a knave?", "names": ["Sebastian", "Evelyn", "Isabella", "Riley", "Liam"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, false], "solution_text": "Sebastian is a knight, Evelyn is a knave, Isabella is a knight, Riley is a knight, and Liam is a knave.", "solution_text_format": "(1) Sebastian is a knight\n(2) Evelyn is a knave\n(3) Isabella is a knight\n(4) Riley 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 Sebastian is a knight. No contradiction is found in their claim that Liam is a knave or Riley is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that Isabella is a knave and Evelyn is a knight.", "Isabella cannot be a knight, because this would contradict the claim of their own that If Isabella is a knight then Liam is a knave.", "Isabella cannot be a knave, because this would contradict the false claim of their own that If Isabella is a knight then Liam is a knave.", "We have exhausted all possibilities for Isabella, so let us go back and reconsider Liam.", "Assume Liam is a knave. No contradiction is found in their false claim that Isabella is a knave and Evelyn is a knight.", "Assume Isabella is a knight. No contradiction is found in their claim that If Isabella is a knight then Liam is a knave.", "Evelyn cannot be a knight, because this would contradict the claim of their own that Riley is a knave and Isabella is a knave.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Riley is a knave and Isabella is a knave.", "Assume Riley is a knight. No contradiction is found in their claim that Isabella is a knight if and only if Evelyn is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 4), ('telling-truth', 3)), ('and', ('lying', 3), ('lying', 2)), ('->', ('telling-truth', 2), ('lying', 4)), ('<=>', ('telling-truth', 2), ('lying', 1)), ('and', ('lying', 2), ('telling-truth', 1)))", "index": 792}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Amelia, Mason, Alexander, Emma, and Jackson. Amelia was heard saying, \"Alexander is a knight if and only if Jackson is a knave\". Mason asserted: \"If Alexander is a knight then Emma is a knave\". Alexander asserted: \"Emma is a knight\". As Emma put it, \"Alexander is a knight or Jackson is a knight\". In Jackson's words: \"Amelia is a knight\". So who is a knight and who is a knave?", "names": ["Amelia", "Mason", "Alexander", "Emma", "Jackson"], "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": "Amelia is a knave, Mason is a knight, Alexander is a knave, Emma is a knave, and Jackson is a knave.", "solution_text_format": "(1) Amelia is a knave\n(2) Mason is a knight\n(3) Alexander is a knave\n(4) Emma 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 Amelia is a knight. No contradiction is found in their claim that Alexander is a knight if and only if Jackson is a knave.", "Assume Alexander 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 Alexander is a knight or Jackson is a knight.", "Jackson cannot be a knight, because this would contradict the claim of Amelia that Alexander is a knight if and only if Jackson is a knave.", "Jackson cannot be a knave, because this would contradict the false claim of their own that Amelia is a knight.", "We have exhausted all possibilities for Jackson, so let us go back and reconsider Emma.", "Emma cannot be a knave, because this would contradict the claim of Alexander that Emma is a knight.", "We have exhausted all possibilities for Emma, so let us go back and reconsider Alexander.", "Assume Alexander is a knave. No contradiction is found in their false claim that Emma is a knight.", "Emma cannot be a knight, because this would contradict the false claim of Alexander that Emma is a knight.", "Assume Emma is a knave. No contradiction is found in their false claim that Alexander is a knight or Jackson is a knight.", "Jackson cannot be a knight, because this would contradict the false claim of Emma that Alexander is a knight or Jackson is a knight.", "Jackson cannot be a knave, because this would contradict the claim of Amelia that Alexander is a knight if and only if Jackson is a knave.", "We have exhausted all possibilities for Jackson, Emma, and Alexander, so let us go back and reconsider Amelia.", "Assume Amelia is a knave. No contradiction is found in their false claim that Alexander is a knight if and only if Jackson is a knave.", "Assume Alexander 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 Alexander is a knight or Jackson is a knight.", "Jackson cannot be a knight, because this would contradict the claim of their own that Amelia is a knight.", "Jackson cannot be a knave, because this would contradict the false claim of Amelia that Alexander is a knight if and only if Jackson is a knave.", "We have exhausted all possibilities for Jackson, so let us go back and reconsider Emma.", "Emma cannot be a knave, because this would contradict the claim of Alexander that Emma is a knight.", "We have exhausted all possibilities for Emma, so let us go back and reconsider Alexander.", "Assume Alexander is a knave. No contradiction is found in their false claim that Emma is a knight.", "Emma cannot be a knight, because this would contradict the false claim of Alexander that Emma is a knight.", "Assume Emma is a knave. No contradiction is found in their false claim that Alexander is a knight or Jackson is a knight.", "Jackson cannot be a knight, because this would contradict the false claim of Amelia that Alexander is a knight if and only if Jackson is a knave.", "Assume Jackson is a knave. No contradiction is found in their false claim that Amelia is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that If Alexander is a knight then Emma is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 2), ('lying', 4)), ('->', ('telling-truth', 2), ('lying', 3)), ('telling-truth', 3), ('or', ('telling-truth', 2), ('telling-truth', 4)), ('telling-truth', 0))", "index": 793}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Sofia, James, Henry, Evelyn, and Jackson. In a statement by Sofia: \"Jackson is a knave and James is a knave\". In James's words: \"Henry is a knight and Evelyn is a knight\". \"Jackson is not a knave,\" Henry declared. \"Jackson is a knight or Sofia is a knight,\" Evelyn declared. Jackson commented, \"James is a knight and Henry is a knave\". So who is a knight and who is a knave?", "names": ["Sofia", "James", "Henry", "Evelyn", "Jackson"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, false], "solution_text": "Sofia is a knight, James is a knave, Henry is a knave, Evelyn is a knight, and Jackson is a knave.", "solution_text_format": "(1) Sofia is a knight\n(2) James is a knave\n(3) Henry is a knave\n(4) Evelyn is a knight\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 Sofia is a knight. No contradiction is found in their claim that Jackson is a knave and James is a knave.", "Jackson cannot be a knight, because this would contradict the claim of Sofia that Jackson is a knave and James is a knave.", "Assume Jackson is a knave. No contradiction is found in their false claim that James is a knight and Henry is a knave.", "James cannot be a knight, because this would contradict the claim of Sofia that Jackson is a knave and James is a knave.", "Assume James is a knave. No contradiction is found in their false claim that Henry is a knight and Evelyn is a knight.", "Henry cannot be a knight, because this would contradict the claim of their own that Jackson is not a knave.", "Assume Henry is a knave. No contradiction is found in their false claim that Jackson is not a knave.", "Assume Evelyn is a knight. No contradiction is found in their claim that Jackson is a knight or Sofia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 4), ('lying', 1)), ('and', ('telling-truth', 2), ('telling-truth', 3)), ('not', ('lying', 4)), ('or', ('telling-truth', 4), ('telling-truth', 0)), ('and', ('telling-truth', 1), ('lying', 2)))", "index": 794}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Victoria, Liam, Penelope, Benjamin, and Zoey. Victoria expressed that Benjamin is a knave and Zoey is a knave. Liam expressed that Zoey is a knight and Benjamin is a knave. In Penelope's words: \"Zoey is not a knight\". \"Penelope is a knight\" - Benjamin. \"Victoria is a knave or Zoey is a knight,\" Zoey declared. So who is a knight and who is a knave?", "names": ["Victoria", "Liam", "Penelope", "Benjamin", "Zoey"], "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": "Victoria is a knave, Liam is a knight, Penelope is a knave, Benjamin is a knave, and Zoey is a knight.", "solution_text_format": "(1) Victoria is a knave\n(2) Liam is a knight\n(3) Penelope is a knave\n(4) Benjamin 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 Victoria is a knight. No contradiction is found in their claim that Benjamin is a knave and Zoey is a knave.", "Benjamin cannot be a knight, because this would contradict the claim of Victoria that Benjamin is a knave and Zoey is a knave.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Penelope is a knight.", "Penelope cannot be a knight, because this would contradict the false claim of Benjamin that Penelope is a knight.", "Assume Penelope is a knave. No contradiction is found in their false claim that Zoey is not a knight.", "Zoey cannot be a knight, because this would contradict the claim of Victoria that Benjamin is a knave and Zoey is a knave.", "Zoey cannot be a knave, because this would contradict the false claim of Penelope that Zoey is not a knight.", "We have exhausted all possibilities for Zoey, Penelope, and Benjamin, so let us go back and reconsider Victoria.", "Assume Victoria is a knave. No contradiction is found in their false claim that Benjamin is a knave and Zoey is a knave.", "Assume Benjamin is a knight. No contradiction is found in their claim that Penelope is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that Zoey is not a knight.", "Zoey cannot be a knight, because this would contradict the claim of Penelope that Zoey is not a knight.", "Zoey cannot be a knave, because this would contradict the false claim of their own that Victoria is a knave or Zoey is a knight.", "We have exhausted all possibilities for Zoey, so let us go back and reconsider Penelope.", "Penelope cannot be a knave, because this would contradict the claim of Benjamin that Penelope is a knight.", "We have exhausted all possibilities for Penelope, so let us go back and reconsider Benjamin.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Penelope is a knight.", "Penelope cannot be a knight, because this would contradict the false claim of Benjamin that Penelope is a knight.", "Assume Penelope is a knave. No contradiction is found in their false claim that Zoey is not a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that Victoria is a knave or Zoey is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that Zoey is a knight and Benjamin is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 3), ('lying', 4)), ('and', ('telling-truth', 4), ('lying', 3)), ('not', ('telling-truth', 4)), ('telling-truth', 2), ('or', ('lying', 0), ('telling-truth', 4)))", "index": 795}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Riley, Olivia, Alexander, Zoey, and Liam. Riley said, \"Alexander is a knave.\" \"Liam is a knight or Zoey is a knight,\" Olivia mentioned. \"Olivia is a knave and Liam is a knight,\" Alexander declared. Zoey stated, \"Liam is a knave if and only if Liam is a knight\". According to Liam, \"Zoey is a knight or Alexander is a knave\". So who is a knight and who is a knave?", "names": ["Riley", "Olivia", "Alexander", "Zoey", "Liam"], "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": "Riley is a knight, Olivia is a knight, Alexander is a knave, Zoey is a knave, and Liam is a knight.", "solution_text_format": "(1) Riley is a knight\n(2) Olivia is a knight\n(3) Alexander is a knave\n(4) Zoey 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 Riley is a knight. No contradiction is found in their claim that Alexander is a knave.", "Alexander cannot be a knight, because this would contradict the claim of Riley that Alexander is a knave.", "Assume Alexander is a knave. No contradiction is found in their false claim that Olivia is a knave and Liam is a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that Liam is a knight or Zoey is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that Zoey is a knight or Alexander is a knave.", "Zoey 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 Zoey is a knave. No contradiction is found in their false claim that Liam is a knave if and only if Liam is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 2), ('or', ('telling-truth', 4), ('telling-truth', 3)), ('and', ('lying', 1), ('telling-truth', 4)), ('<=>', ('lying', 4), ('telling-truth', 4)), ('or', ('telling-truth', 3), ('lying', 2)))", "index": 796}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Sofia, Lucas, Evelyn, Avery, and Victoria. Sofia expressed that Avery is not a knave. As Lucas put it, \"Sofia is a knight or Evelyn is a knight\". \"Lucas is a knight if and only if Avery is a knight,\" Evelyn mentioned. In a statement by Avery: \"Victoria is a knave if and only if Evelyn is a knight\". In a statement by Victoria: \"Victoria is a knight and Evelyn is a knave\". So who is a knight and who is a knave?", "names": ["Sofia", "Lucas", "Evelyn", "Avery", "Victoria"], "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": "Sofia is a knight, Lucas is a knight, Evelyn is a knight, Avery is a knight, and Victoria is a knave.", "solution_text_format": "(1) Sofia is a knight\n(2) Lucas is a knight\n(3) Evelyn is a knight\n(4) Avery is a knight\n(5) Victoria is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sofia is a knight. No contradiction is found in their claim that Avery is not a knave.", "Assume Avery is a knight. No contradiction is found in their claim that Victoria is a knave if and only if Evelyn is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that Victoria is a knight and Evelyn is a knave.", "Evelyn cannot be a knight, because this would contradict the claim of Avery that Victoria is a knave if and only if Evelyn is a knight.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Lucas is a knight if and only if Avery is a knight.", "Lucas cannot be a knight, because this would contradict the false claim of Evelyn that Lucas is a knight if and only if Avery is a knight.", "Lucas cannot be a knave, because this would contradict the false claim of their own that Sofia is a knight or Evelyn is a knight.", "We have exhausted all possibilities for Lucas and Evelyn, so let us go back and reconsider Victoria.", "Assume Victoria is a knave. No contradiction is found in their false claim that Victoria is a knight and Evelyn is a knave.", "Assume Evelyn is a knight. No contradiction is found in their claim that Lucas is a knight if and only if Avery is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that Sofia is a knight or Evelyn is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 3)), ('or', ('telling-truth', 0), ('telling-truth', 2)), ('<=>', ('telling-truth', 1), ('telling-truth', 3)), ('<=>', ('lying', 4), ('telling-truth', 2)), ('and', ('telling-truth', 4), ('lying', 2)))", "index": 797}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Elizabeth, Henry, Ella, Lucas, and David. Elizabeth said, \"Henry is a knight.\" Henry expressed that Elizabeth is a knight if and only if Henry is a knight. According to Ella, \"Elizabeth is a knight or Elizabeth is a knave\". Lucas asserted: \"Elizabeth is a knight or Henry is a knight\". David said, \"Lucas is a knave.\" So who is a knight and who is a knave?", "names": ["Elizabeth", "Henry", "Ella", "Lucas", "David"], "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": "Elizabeth is a knight, Henry is a knight, Ella is a knight, Lucas is a knight, and David is a knave.", "solution_text_format": "(1) Elizabeth is a knight\n(2) Henry is a knight\n(3) Ella is a knight\n(4) Lucas is a knight\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 Elizabeth is a knight. No contradiction is found in their claim that Henry is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that Elizabeth is a knight if and only if Henry is a knight.", "Assume Ella is a knight. No contradiction is found in their claim that Elizabeth is a knight or Elizabeth is a knave.", "Assume Lucas is a knight. No contradiction is found in their claim that Elizabeth is a knight or Henry is a knight.", "David cannot be a knight, because this would contradict the claim of their own that Lucas is a knave.", "Assume David is a knave. No contradiction is found in their false claim that Lucas is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 1), ('<=>', ('telling-truth', 0), ('telling-truth', 1)), ('or', ('telling-truth', 0), ('lying', 0)), ('or', ('telling-truth', 0), ('telling-truth', 1)), ('lying', 3))", "index": 798}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Penelope, Aria, Ava, Sophia, and Jack. Penelope noted, \"If Sophia is a knight then Ava is a knave\". In Aria's words: \"Sophia is a knight\". Ava told you that Penelope is a knight. \"Penelope is a knave,\" Sophia declared. \"Aria is a knave and Penelope is a knight,\" Jack claimed. So who is a knight and who is a knave?", "names": ["Penelope", "Aria", "Ava", "Sophia", "Jack"], "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": "Penelope is a knight, Aria is a knave, Ava is a knight, Sophia is a knave, and Jack is a knight.", "solution_text_format": "(1) Penelope is a knight\n(2) Aria is a knave\n(3) Ava is a knight\n(4) Sophia is a knave\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 Penelope is a knight. No contradiction is found in their claim that If Sophia is a knight then Ava is a knave.", "Sophia cannot be a knight, because this would contradict the claim of their own that Penelope is a knave.", "Assume Sophia is a knave. No contradiction is found in their false claim that Penelope is a knave.", "Assume Ava is a knight. No contradiction is found in their claim that Penelope is a knight.", "Aria cannot be a knight, because this would contradict the claim of their own that Sophia is a knight.", "Assume Aria is a knave. No contradiction is found in their false claim that Sophia is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that Aria is a knave and Penelope is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 3), ('lying', 2)), ('telling-truth', 3), ('telling-truth', 0), ('lying', 0), ('and', ('lying', 1), ('telling-truth', 0)))", "index": 799}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Owen, Lucas, Michael, Olivia, and Samuel. Owen told you that Michael is a knave. \"Samuel is not a knave,\" Lucas claimed. \"Samuel is a knave or Owen is a knight,\" Michael mentioned. Olivia expressed that Samuel is a knave and Lucas is a knight. \"Lucas is a knave and Lucas is a knight,\" Samuel claimed. So who is a knight and who is a knave?", "names": ["Owen", "Lucas", "Michael", "Olivia", "Samuel"], "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": "Owen is a knave, Lucas is a knave, Michael is a knight, Olivia is a knave, and Samuel is a knave.", "solution_text_format": "(1) Owen is a knave\n(2) Lucas is a knave\n(3) Michael is a knight\n(4) Olivia is a knave\n(5) Samuel is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Owen is a knight. No contradiction is found in their claim that Michael is a knave.", "Michael cannot be a knight, because this would contradict the claim of Owen that Michael is a knave.", "Michael cannot be a knave, because this would contradict the false claim of their own that Samuel is a knave or Owen is a knight.", "We have exhausted all possibilities for Michael, so let us go back and reconsider Owen.", "Assume Owen 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 Samuel is a knave or Owen is a knight.", "Samuel cannot be a knight, because this would contradict the claim of Michael that Samuel is a knave or Owen is a knight.", "Assume Samuel is a knave. No contradiction is found in their false claim that Lucas is a knave and Lucas is a knight.", "Lucas cannot be a knight, because this would contradict the claim of their own that Samuel is not a knave.", "Assume Lucas is a knave. No contradiction is found in their false claim that Samuel is not a knave.", "Olivia cannot be a knight, because this would contradict the claim of their own that Samuel is a knave and Lucas is a knight.", "Assume Olivia is a knave. No contradiction is found in their false claim that Samuel is a knave and Lucas is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 2), ('not', ('lying', 4)), ('or', ('lying', 4), ('telling-truth', 0)), ('and', ('lying', 4), ('telling-truth', 1)), ('and', ('lying', 1), ('telling-truth', 1)))", "index": 800}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Lucas, Penelope, Amelia, Isabella, and Riley. Lucas asserted: \"Isabella is a knight if and only if Penelope is a knight\". Penelope asserted: \"Lucas is a knave or Riley is a knave\". Amelia was heard saying, \"Riley is a knave if and only if Amelia is a knight\". Isabella said that Isabella is a knight. Riley expressed that If Amelia is a knight then Isabella is a knave. So who is a knight and who is a knave?", "names": ["Lucas", "Penelope", "Amelia", "Isabella", "Riley"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, false], "solution_text": "Lucas is a knight, Penelope is a knight, Amelia is a knight, Isabella is a knight, and Riley is a knave.", "solution_text_format": "(1) Lucas is a knight\n(2) Penelope is a knight\n(3) Amelia is a knight\n(4) Isabella is a knight\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 Lucas is a knight. No contradiction is found in their claim that Isabella is a knight if and only if Penelope is a knight.", "Assume Isabella is a knight. No contradiction is found in their claim that Isabella is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that Lucas is a knave or Riley is a knave.", "Riley cannot be a knight, because this would contradict the claim of Penelope that Lucas is a knave or Riley is a knave.", "Assume Riley is a knave. No contradiction is found in their false claim that If Amelia is a knight then Isabella is a knave.", "Assume Amelia is a knight. No contradiction is found in their claim that Riley is a knave if and only if Amelia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 3), ('telling-truth', 1)), ('or', ('lying', 0), ('lying', 4)), ('<=>', ('lying', 4), ('telling-truth', 2)), ('telling-truth', 3), ('->', ('telling-truth', 2), ('lying', 3)))", "index": 801}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aurora, Abigail, Isabella, Henry, and Michael. Aurora was heard saying, \"Henry is a knave and Abigail is a knight\". Abigail was heard saying, \"Isabella is a knight\". In a statement by Isabella: \"Michael is a knave and Michael is a knight\". \"Aurora is a knight,\" Henry mentioned. Michael said, \"Henry is a knave and Abigail is a knight.\" So who is a knight and who is a knave?", "names": ["Aurora", "Abigail", "Isabella", "Henry", "Michael"], "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": "Aurora is a knave, Abigail is a knave, Isabella is a knave, Henry is a knave, and Michael is a knave.", "solution_text_format": "(1) Aurora is a knave\n(2) Abigail is a knave\n(3) Isabella is a knave\n(4) Henry is a knave\n(5) Michael is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aurora is a knight. No contradiction is found in their claim that Henry is a knave and Abigail is a knight.", "Henry cannot be a knight, because this would contradict the claim of Aurora that Henry is a knave and Abigail is a knight.", "Henry cannot be a knave, because this would contradict the false claim of their own that Aurora is a knight.", "We have exhausted all possibilities for Henry, so let us go back and reconsider Aurora.", "Assume Aurora is a knave. No contradiction is found in their false claim that Henry is a knave and Abigail is a knight.", "Henry cannot be a knight, because this would contradict the claim of their own that Aurora is a knight.", "Assume Henry is a knave. No contradiction is found in their false claim that Aurora is a knight.", "Abigail cannot be a knight, because this would contradict the false claim of Aurora that Henry is a knave and Abigail is a knight.", "Assume Abigail is a knave. No contradiction is found in their false claim that Isabella is a knight.", "Isabella cannot be a knight, because this would contradict the false claim of Abigail that Isabella is a knight.", "Assume Isabella is a knave. No contradiction is found in their false claim that Michael is a knave and Michael is a knight.", "Michael cannot be a knight, because this would contradict the claim of their own that Henry is a knave and Abigail is a knight.", "Assume Michael is a knave. No contradiction is found in their false claim that Henry is a knave and Abigail is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 3), ('telling-truth', 1)), ('telling-truth', 2), ('and', ('lying', 4), ('telling-truth', 4)), ('telling-truth', 0), ('and', ('lying', 3), ('telling-truth', 1)))", "index": 802}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Chloe, Joseph, Lucas, Samuel, and Mason. Chloe asserted: \"Joseph is a knight and Lucas is a knight\". As Joseph put it, \"Samuel is not a knight\". Lucas said that If Lucas is a knight then Samuel is a knight. \"Chloe is a knave,\" Samuel declared. \"Samuel is a knave or Joseph is a knave\" - Mason. So who is a knight and who is a knave?", "names": ["Chloe", "Joseph", "Lucas", "Samuel", "Mason"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true, true], "solution_text": "Chloe is a knave, Joseph is a knave, Lucas is a knight, Samuel is a knight, and Mason is a knight.", "solution_text_format": "(1) Chloe is a knave\n(2) Joseph is a knave\n(3) Lucas is a knight\n(4) Samuel is a knight\n(5) 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 Chloe is a knight. No contradiction is found in their claim that Joseph is a knight and Lucas is a knight.", "Assume Joseph 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 Joseph that Samuel is not a knight.", "Assume Samuel is a knave. No contradiction is found in their false claim that Chloe is a knave.", "Lucas cannot be a knight, because this would contradict the claim of their own that If Lucas is a knight then Samuel is a knight.", "Lucas cannot be a knave, because this would contradict the claim of Chloe that Joseph is a knight and Lucas is a knight.", "We have exhausted all possibilities for Lucas and Samuel, so let us go back and reconsider Joseph.", "Joseph cannot be a knave, because this would contradict the claim of Chloe that Joseph is a knight and Lucas is a knight.", "We have exhausted all possibilities for Joseph, so let us go back and reconsider Chloe.", "Assume Chloe is a knave. No contradiction is found in their false claim that Joseph is a knight and Lucas is a knight.", "Assume Joseph 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 Joseph that Samuel is not a knight.", "Samuel cannot be a knave, because this would contradict the false claim of their own that Chloe is a knave.", "We have exhausted all possibilities for Samuel, so let us go back and reconsider Joseph.", "Assume Joseph is a knave. No contradiction is found in their false claim that Samuel is not a knight.", "Assume Samuel is a knight. No contradiction is found in their claim that Chloe is a knave.", "Assume Lucas is a knight. No contradiction is found in their claim that If Lucas is a knight then Samuel is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that Samuel is a knave or Joseph is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('telling-truth', 2)), ('not', ('telling-truth', 3)), ('->', ('telling-truth', 2), ('telling-truth', 3)), ('lying', 0), ('or', ('lying', 3), ('lying', 1)))", "index": 803}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Lucas, Owen, Oliver, Lily, and Sebastian. In a statement by Lucas: \"Oliver is a knight and Sebastian is a knave\". Owen stated, \"Lily is a knave\". Oliver expressed that Lily is a knight. Lily told you that Sebastian is a knight or Lily is a knight. Sebastian was heard saying, \"Oliver is a knave\". So who is a knight and who is a knave?", "names": ["Lucas", "Owen", "Oliver", "Lily", "Sebastian"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, false], "solution_text": "Lucas is a knight, Owen is a knave, Oliver is a knight, Lily is a knight, and Sebastian is a knave.", "solution_text_format": "(1) Lucas is a knight\n(2) Owen is a knave\n(3) Oliver is a knight\n(4) Lily is a knight\n(5) Sebastian is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Lucas is a knight. No contradiction is found in their claim that Oliver is a knight and Sebastian is a knave.", "Assume Oliver is a knight. No contradiction is found in their claim that Lily is a knight.", "Assume Lily is a knight. No contradiction is found in their claim that Sebastian is a knight or Lily is a knight.", "Sebastian cannot be a knight, because this would contradict the claim of Lucas that Oliver is a knight and Sebastian is a knave.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Oliver is a knave.", "Owen cannot be a knight, because this would contradict the claim of their own that Lily is a knave.", "Assume Owen is a knave. No contradiction is found in their false claim that Lily is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 2), ('lying', 4)), ('lying', 3), ('telling-truth', 3), ('or', ('telling-truth', 4), ('telling-truth', 3)), ('lying', 2))", "index": 804}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Matthew, Luke, William, Jackson, and Daniel. In Matthew's words: \"Luke is a knave if and only if Daniel is a knave\". Luke told you that Jackson is not a knight. William commented, \"Luke is not a knight\". In Jackson's words: \"Luke is a knave and Luke is a knight\". Daniel said that Luke is a knave and Luke is a knight. So who is a knight and who is a knave?", "names": ["Matthew", "Luke", "William", "Jackson", "Daniel"], "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": "Matthew is a knave, Luke is a knight, William is a knave, Jackson is a knave, and Daniel is a knave.", "solution_text_format": "(1) Matthew is a knave\n(2) Luke is a knight\n(3) William is a knave\n(4) Jackson 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 Matthew is a knight. No contradiction is found in their claim that Luke is a knave if and only if Daniel is a knave.", "Assume Luke 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 Luke that Jackson is not a knight.", "Assume Jackson is a knave. No contradiction is found in their false claim that Luke is a knave and Luke is a knight.", "Daniel cannot be a knight, because this would contradict the claim of their own that Luke is a knave and Luke is a knight.", "Daniel cannot be a knave, because this would contradict the claim of Matthew that Luke is a knave if and only if Daniel is a knave.", "We have exhausted all possibilities for Daniel and Jackson, so let us go back and reconsider Luke.", "Assume Luke is a knave. No contradiction is found in their false claim that Jackson is not a knight.", "Jackson cannot be a knight, because this would contradict the claim of their own that Luke is a knave and Luke is a knight.", "Jackson cannot be a knave, because this would contradict the false claim of Luke that Jackson is not a knight.", "We have exhausted all possibilities for Jackson and Luke, so let us go back and reconsider Matthew.", "Assume Matthew is a knave. No contradiction is found in their false claim that Luke is a knave if and only if Daniel is a knave.", "Assume Luke 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 Luke that Jackson is not a knight.", "Assume Jackson is a knave. No contradiction is found in their false claim that Luke is a knave and Luke is a knight.", "Daniel cannot be a knight, because this would contradict the false claim of Matthew that Luke is a knave if and only if Daniel is a knave.", "Assume Daniel is a knave. No contradiction is found in their false claim that Luke is a knave and Luke is a knight.", "William cannot be a knight, because this would contradict the claim of their own that Luke is not a knight.", "Assume William is a knave. No contradiction is found in their false claim that Luke is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('lying', 4)), ('not', ('telling-truth', 3)), ('not', ('telling-truth', 1)), ('and', ('lying', 1), ('telling-truth', 1)), ('and', ('lying', 1), ('telling-truth', 1)))", "index": 805}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Jack, Luke, Oliver, Penelope, and Jackson. \"Jack is a knight if and only if Oliver is a knight,\" Jack claimed. \"Oliver is a knave or Penelope is a knight,\" Luke mentioned. \"Jackson is a knave\" - Oliver. Penelope said, \"If Jackson is a knave then Oliver is a knight.\" As Jackson put it, \"Penelope is a knight and Jack is a knight\". So who is a knight and who is a knave?", "names": ["Jack", "Luke", "Oliver", "Penelope", "Jackson"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, false], "solution_text": "Jack is a knave, Luke is a knight, Oliver is a knight, Penelope is a knight, and Jackson is a knave.", "solution_text_format": "(1) Jack is a knave\n(2) Luke is a knight\n(3) Oliver is a knight\n(4) Penelope is a knight\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 Jack is a knight. No contradiction is found in their claim that Jack is a knight if and only if Oliver is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that Jackson is a knave.", "Jackson cannot be a knight, because this would contradict the claim of Oliver that Jackson is a knave.", "Assume Jackson is a knave. No contradiction is found in their false claim that Penelope is a knight and Jack is a knight.", "Penelope cannot be a knight, because this would contradict the false claim of Jackson that Penelope is a knight and Jack is a knight.", "Penelope cannot be a knave, because this would contradict the false claim of their own that If Jackson is a knave then Oliver is a knight.", "We have exhausted all possibilities for Penelope and Jackson, so let us go back and reconsider Oliver.", "Oliver cannot be a knave, because this would contradict the claim of Jack that Jack is a knight if and only if Oliver is a knight.", "We have exhausted all possibilities for Oliver, so let us go back and reconsider Jack.", "Assume Jack is a knave. No contradiction is found in their false claim that Jack is a knight if and only if Oliver is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that Jackson is a knave.", "Jackson cannot be a knight, because this would contradict the claim of Oliver that Jackson is a knave.", "Assume Jackson is a knave. No contradiction is found in their false claim that Penelope is a knight and Jack is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that If Jackson is a knave then Oliver is a knight.", "Assume Luke is a knight. No contradiction is found in their claim that Oliver is a knave or Penelope is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 0), ('telling-truth', 2)), ('or', ('lying', 2), ('telling-truth', 3)), ('lying', 4), ('->', ('lying', 4), ('telling-truth', 2)), ('and', ('telling-truth', 3), ('telling-truth', 0)))", "index": 806}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Sophia, Aria, Logan, Victoria, and Elizabeth. As Sophia put it, \"Elizabeth is a knight if and only if Victoria is a knight\". Aria noted, \"Elizabeth is a knave or Aria is a knight\". Logan commented, \"Sophia is a knight if and only if Sophia is a knave\". \"Elizabeth is a knave or Aria is a knight,\" Victoria declared. Elizabeth remarked, \"Aria is a knight\". So who is a knight and who is a knave?", "names": ["Sophia", "Aria", "Logan", "Victoria", "Elizabeth"], "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": "Sophia is a knight, Aria is a knight, Logan is a knave, Victoria is a knight, and Elizabeth is a knight.", "solution_text_format": "(1) Sophia is a knight\n(2) Aria is a knight\n(3) Logan is a knave\n(4) Victoria 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 Sophia is a knight. No contradiction is found in their claim that Elizabeth is a knight if and only if Victoria is a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Aria is a knight.", "Assume Aria is a knight. No contradiction is found in their claim that Elizabeth is a knave or Aria is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that Elizabeth is a knave or Aria is a knight.", "Logan 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 Logan is a knave. No contradiction is found in their false claim that Sophia is a knight if and only if Sophia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 4), ('telling-truth', 3)), ('or', ('lying', 4), ('telling-truth', 1)), ('<=>', ('telling-truth', 0), ('lying', 0)), ('or', ('lying', 4), ('telling-truth', 1)), ('telling-truth', 1))", "index": 807}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Sofia, Grace, Jack, Jacob, and Amelia. According to Sofia, \"Grace is a knight\". \"If Grace is a knight then Jacob is a knight,\" Grace declared. Jack noted, \"Sofia is a knave\". \"Grace is a knight,\" Jacob declared. \"Jacob is a knave if and only if Sofia is a knight,\" Amelia declared. So who is a knight and who is a knave?", "names": ["Sofia", "Grace", "Jack", "Jacob", "Amelia"], "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": "Sofia is a knight, Grace is a knight, Jack is a knave, Jacob is a knight, and Amelia is a knave.", "solution_text_format": "(1) Sofia is a knight\n(2) Grace is a knight\n(3) Jack is a knave\n(4) Jacob is a knight\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 Sofia is a knight. No contradiction is found in their claim that Grace is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that If Grace is a knight then Jacob is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that Grace is a knight.", "Jack cannot be a knight, because this would contradict the claim of their own that Sofia is a knave.", "Assume Jack is a knave. No contradiction is found in their false claim that Sofia is a knave.", "Amelia cannot be a knight, because this would contradict the claim of their own that Jacob is a knave if and only if Sofia is a knight.", "Assume Amelia is a knave. No contradiction is found in their false claim that Jacob is a knave if and only if Sofia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 1), ('->', ('telling-truth', 1), ('telling-truth', 3)), ('lying', 0), ('telling-truth', 1), ('<=>', ('lying', 3), ('telling-truth', 0)))", "index": 808}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Alexander, David, Oliver, Sofia, and Riley. Alexander remarked, \"Riley is not a knave\". \"Riley is a knight and Oliver is a knave,\" David mentioned. \"Riley is a knight\" - Oliver. As Sofia put it, \"Riley is a knave and Oliver is a knave\". \"Sofia is a knave if and only if Oliver is a knight,\" Riley claimed. So who is a knight and who is a knave?", "names": ["Alexander", "David", "Oliver", "Sofia", "Riley"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false, true], "solution_text": "Alexander is a knight, David is a knave, Oliver is a knight, Sofia is a knave, and Riley is a knight.", "solution_text_format": "(1) Alexander is a knight\n(2) David is a knave\n(3) Oliver is a knight\n(4) Sofia is a knave\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 Alexander is a knight. No contradiction is found in their claim that Riley is not a knave.", "Assume Riley is a knight. No contradiction is found in their claim that Sofia is a knave if and only if Oliver is a knight.", "Sofia cannot be a knight, because this would contradict the claim of their own that Riley is a knave and Oliver is a knave.", "Assume Sofia is a knave. No contradiction is found in their false claim that Riley is a knave and Oliver is a knave.", "Assume Oliver is a knight. No contradiction is found in their claim that Riley is a knight.", "David cannot be a knight, because this would contradict the claim of their own that Riley is a knight and Oliver is a knave.", "Assume David is a knave. No contradiction is found in their false claim that Riley is a knight and Oliver is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 4)), ('and', ('telling-truth', 4), ('lying', 2)), ('telling-truth', 4), ('and', ('lying', 4), ('lying', 2)), ('<=>', ('lying', 3), ('telling-truth', 2)))", "index": 809}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aurora, Joseph, David, Alexander, and Michael. Aurora noted, \"Joseph is a knave and Joseph is a knight\". Joseph was heard saying, \"Alexander is a knight and Michael is a knave\". As David put it, \"David is a knight or Alexander is a knave\". In a statement by Alexander: \"David is not a knave\". As Michael put it, \"David is a knight or Joseph is a knight\". So who is a knight and who is a knave?", "names": ["Aurora", "Joseph", "David", "Alexander", "Michael"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true, true], "solution_text": "Aurora is a knave, Joseph is a knave, David is a knight, Alexander is a knight, and Michael is a knight.", "solution_text_format": "(1) Aurora is a knave\n(2) Joseph is a knave\n(3) David is a knight\n(4) Alexander is a knight\n(5) Michael is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Aurora cannot be a knight, because this would contradict the claim of their own that Joseph is a knave and Joseph is a knight.", "Assume Aurora is a knave. No contradiction is found in their false claim that Joseph is a knave and Joseph is a knight.", "Assume Joseph is a knight. No contradiction is found in their claim that Alexander is a knight and Michael is a knave.", "Assume Alexander is a knight. No contradiction is found in their claim that David is not a knave.", "Assume David is a knight. No contradiction is found in their claim that David is a knight or Alexander is a knave.", "Michael cannot be a knight, because this would contradict the claim of Joseph that Alexander is a knight and Michael is a knave.", "Michael cannot be a knave, because this would contradict the false claim of their own that David is a knight or Joseph is a knight.", "We have exhausted all possibilities for Michael, so let us go back and reconsider David.", "David cannot be a knave, because this would contradict the claim of Alexander that David is not a knave.", "We have exhausted all possibilities for David, so let us go back and reconsider Alexander.", "Alexander cannot be a knave, because this would contradict the claim of Joseph that Alexander is a knight and Michael is a knave.", "We have exhausted all possibilities for Alexander, so let us go back and reconsider Joseph.", "Assume Joseph is a knave. No contradiction is found in their false claim that Alexander is a knight and Michael is a knave.", "Assume Alexander is a knight. No contradiction is found in their claim that David is not a knave.", "Assume David is a knight. No contradiction is found in their claim that David is a knight or Alexander is a knave.", "Assume Michael is a knight. No contradiction is found in their claim that David is a knight or Joseph is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('telling-truth', 1)), ('and', ('telling-truth', 3), ('lying', 4)), ('or', ('telling-truth', 2), ('lying', 3)), ('not', ('lying', 2)), ('or', ('telling-truth', 2), ('telling-truth', 1)))", "index": 810}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Liam, Elizabeth, Joseph, Jack, and Jackson. Liam noted, \"If Jackson is a knight then Liam is a knight\". Elizabeth said that Liam is a knight or Liam is a knave. Joseph told you that Elizabeth is a knight and Jackson is a knave. \"Liam is a knight or Elizabeth is a knave,\" Jack mentioned. In Jackson's words: \"Liam is a knight and Elizabeth is a knight\". So who is a knight and who is a knave?", "names": ["Liam", "Elizabeth", "Joseph", "Jack", "Jackson"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true, true], "solution_text": "Liam is a knight, Elizabeth is a knight, Joseph is a knave, Jack is a knight, and Jackson is a knight.", "solution_text_format": "(1) Liam is a knight\n(2) Elizabeth is a knight\n(3) Joseph is a knave\n(4) Jack is a knight\n(5) Jackson is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Liam is a knight. No contradiction is found in their claim that If Jackson is a knight then Liam is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that Liam is a knight and Elizabeth is a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Liam is a knight or Liam is a knave.", "Joseph cannot be a knight, because this would contradict the claim of their own that Elizabeth is a knight and Jackson is a knave.", "Assume Joseph is a knave. No contradiction is found in their false claim that Elizabeth is a knight and Jackson is a knave.", "Assume Jack is a knight. No contradiction is found in their claim that Liam is a knight or Elizabeth is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 4), ('telling-truth', 0)), ('or', ('telling-truth', 0), ('lying', 0)), ('and', ('telling-truth', 1), ('lying', 4)), ('or', ('telling-truth', 0), ('lying', 1)), ('and', ('telling-truth', 0), ('telling-truth', 1)))", "index": 811}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Liam, James, Benjamin, Abigail, and Harper. \"If James is a knight then Harper is a knight,\" Liam claimed. James expressed that If Benjamin is a knave then Harper is a knave. Benjamin said that Harper is a knight if and only if James is a knight. \"Liam is not a knave,\" Abigail declared. Harper stated, \"If Harper is a knight then James is a knave\". So who is a knight and who is a knave?", "names": ["Liam", "James", "Benjamin", "Abigail", "Harper"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, true], "solution_text": "Liam is a knight, James is a knave, Benjamin is a knave, Abigail is a knight, and Harper is a knight.", "solution_text_format": "(1) Liam is a knight\n(2) James is a knave\n(3) Benjamin is a knave\n(4) Abigail 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 Liam is a knight. No contradiction is found in their claim that If James is a knight then Harper is a knight.", "Assume James is a knight. No contradiction is found in their claim that If Benjamin is a knave then Harper is a knave.", "Assume Benjamin is a knight. No contradiction is found in their claim that Harper is a knight if and only if James is a knight.", "Harper cannot be a knight, because this would contradict the claim of their own that If Harper is a knight then James is a knave.", "Harper cannot be a knave, because this would contradict the claim of Liam that If James is a knight then Harper is a knight.", "We have exhausted all possibilities for Harper, so let us go back and reconsider Benjamin.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Harper is a knight if and only if James is a knight.", "Harper cannot be a knight, because this would contradict the claim of James that If Benjamin is a knave then Harper is a knave.", "Harper cannot be a knave, because this would contradict the claim of Liam that If James is a knight then Harper is a knight.", "We have exhausted all possibilities for Harper and Benjamin, so let us go back and reconsider James.", "Assume James is a knave. No contradiction is found in their false claim that If Benjamin is a knave then Harper is a knave.", "Benjamin cannot be a knight, because this would contradict the false claim of James that If Benjamin is a knave then Harper is a knave.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Harper is a knight if and only if James is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that If Harper is a knight then James is a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that Liam is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 1), ('telling-truth', 4)), ('->', ('lying', 2), ('lying', 4)), ('<=>', ('telling-truth', 4), ('telling-truth', 1)), ('not', ('lying', 0)), ('->', ('telling-truth', 4), ('lying', 1)))", "index": 812}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Daniel, Sofia, Lucas, James, and Victoria. Daniel was heard saying, \"Victoria is a knave\". In a statement by Sofia: \"James is a knight if and only if Daniel is a knight\". As Lucas put it, \"Victoria is a knave or Victoria is a knight\". James said that Victoria is not a knight. Victoria noted, \"Victoria is a knight and James is a knight\". So who is a knight and who is a knave?", "names": ["Daniel", "Sofia", "Lucas", "James", "Victoria"], "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": "Daniel is a knight, Sofia is a knight, Lucas is a knight, James is a knight, and Victoria is a knave.", "solution_text_format": "(1) Daniel is a knight\n(2) Sofia is a knight\n(3) Lucas is a knight\n(4) James is a knight\n(5) Victoria is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Daniel is a knight. No contradiction is found in their claim that Victoria is a knave.", "Victoria cannot be a knight, because this would contradict the claim of Daniel that Victoria is a knave.", "Assume Victoria is a knave. No contradiction is found in their false claim that Victoria is a knight and James is a knight.", "Assume James is a knight. No contradiction is found in their claim that Victoria is not a knight.", "Assume Sofia is a knight. No contradiction is found in their claim that James is a knight if and only if Daniel is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that Victoria is a knave or Victoria is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 4), ('<=>', ('telling-truth', 3), ('telling-truth', 0)), ('or', ('lying', 4), ('telling-truth', 4)), ('not', ('telling-truth', 4)), ('and', ('telling-truth', 4), ('telling-truth', 3)))", "index": 813}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aria, Owen, James, Amelia, and Lily. \"Amelia is a knight,\" Aria claimed. In Owen's words: \"Owen is a knight and James is a knave\". James told you that Lily is not a knave. Amelia told you that James is not a knight. Lily said, \"If Owen is a knight then James is a knave.\" So who is a knight and who is a knave?", "names": ["Aria", "Owen", "James", "Amelia", "Lily"], "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": "Aria is a knave, Owen is a knave, James is a knight, Amelia is a knave, and Lily is a knight.", "solution_text_format": "(1) Aria is a knave\n(2) Owen is a knave\n(3) James is a knight\n(4) Amelia is a knave\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": ["Assume Aria is a knight. No contradiction is found in their claim that Amelia is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that James is not a knight.", "James cannot be a knight, because this would contradict the claim of Amelia that James is not a knight.", "Assume James is a knave. No contradiction is found in their false claim that Lily is not a knave.", "Lily cannot be a knight, because this would contradict the false claim of James that Lily is not a knave.", "Lily cannot be a knave, because this would contradict the false claim of their own that If Owen is a knight then James is a knave.", "We have exhausted all possibilities for Lily and James, so let us go back and reconsider Amelia.", "Amelia cannot be a knave, because this would contradict the claim of Aria that Amelia is a knight.", "We have exhausted all possibilities for Amelia, so let us go back and reconsider Aria.", "Assume Aria is a knave. No contradiction is found in their false claim that Amelia is a knight.", "Amelia cannot be a knight, because this would contradict the false claim of Aria that Amelia is a knight.", "Assume Amelia is a knave. No contradiction is found in their false claim that James is not a knight.", "Assume James is a knight. No contradiction is found in their claim that Lily is not a knave.", "Assume Lily is a knight. No contradiction is found in their claim that If Owen is a knight then James is a knave.", "Owen cannot be a knight, because this would contradict the claim of their own that Owen is a knight and James is a knave.", "Assume Owen is a knave. No contradiction is found in their false claim that Owen is a knight and James is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 3), ('and', ('telling-truth', 1), ('lying', 2)), ('not', ('lying', 4)), ('not', ('telling-truth', 2)), ('->', ('telling-truth', 1), ('lying', 2)))", "index": 814}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Ethan, Michael, Ava, Penelope, and Harper. \"If Penelope is a knave then Ethan is a knight,\" Ethan mentioned. Michael expressed that Penelope is a knight if and only if Harper is a knave. \"If Ethan is a knight then Michael is a knave,\" Ava claimed. Penelope was heard saying, \"If Penelope is a knight then Ava is a knight\". \"Penelope is a knight,\" Harper declared. So who is a knight and who is a knave?", "names": ["Ethan", "Michael", "Ava", "Penelope", "Harper"], "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": "Ethan is a knight, Michael is a knave, Ava is a knight, Penelope is a knight, and Harper is a knight.", "solution_text_format": "(1) Ethan is a knight\n(2) Michael is a knave\n(3) Ava is a knight\n(4) Penelope 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 Ethan is a knight. No contradiction is found in their claim that If Penelope is a knave then Ethan is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that If Penelope is a knight then Ava is a knight.", "Assume Ava is a knight. No contradiction is found in their claim that If Ethan is a knight then Michael is a knave.", "Michael cannot be a knight, because this would contradict the claim of Ava that If Ethan is a knight then Michael is a knave.", "Assume Michael is a knave. No contradiction is found in their false claim that Penelope is a knight if and only if Harper is a knave.", "Assume Harper is a knight. No contradiction is found in their claim that Penelope is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 3), ('telling-truth', 0)), ('<=>', ('telling-truth', 3), ('lying', 4)), ('->', ('telling-truth', 0), ('lying', 1)), ('->', ('telling-truth', 3), ('telling-truth', 2)), ('telling-truth', 3))", "index": 815}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Riley, Aurora, James, Grace, and Harper. Riley remarked, \"Harper is a knight if and only if Harper is a knave\". Aurora told you that Riley is a knave if and only if James is a knight. James commented, \"If Riley is a knight then Grace is a knave\". Grace said, \"Aurora is a knight.\" Harper stated, \"Grace is not a knave\". So who is a knight and who is a knave?", "names": ["Riley", "Aurora", "James", "Grace", "Harper"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, true], "solution_text": "Riley is a knave, Aurora is a knight, James is a knight, Grace is a knight, and Harper is a knight.", "solution_text_format": "(1) Riley is a knave\n(2) Aurora is a knight\n(3) James is a knight\n(4) Grace 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": ["Riley cannot be a knight, because this would contradict the claim of their own that Harper is a knight if and only if Harper is a knave.", "Assume Riley is a knave. No contradiction is found in their false claim that Harper is a knight if and only if Harper is a knave.", "Assume Harper is a knight. No contradiction is found in their claim that Grace is not a knave.", "Assume Grace is a knight. No contradiction is found in their claim that Aurora is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that Riley is a knave if and only if James is a knight.", "Assume James is a knight. No contradiction is found in their claim that If Riley is a knight then Grace is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 4), ('lying', 4)), ('<=>', ('lying', 0), ('telling-truth', 2)), ('->', ('telling-truth', 0), ('lying', 3)), ('telling-truth', 1), ('not', ('lying', 3)))", "index": 816}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Amelia, Chloe, Elizabeth, Lucas, and Logan. \"Chloe is a knave or Elizabeth is a knave,\" Amelia claimed. Chloe said that Amelia is a knave or Logan is a knight. Elizabeth was heard saying, \"Chloe is not a knight\". According to Lucas, \"Amelia is a knight\". Logan commented, \"Lucas is a knight\". So who is a knight and who is a knave?", "names": ["Amelia", "Chloe", "Elizabeth", "Lucas", "Logan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true, true], "solution_text": "Amelia is a knight, Chloe is a knight, Elizabeth is a knave, Lucas is a knight, and Logan is a knight.", "solution_text_format": "(1) Amelia is a knight\n(2) Chloe is a knight\n(3) Elizabeth is a knave\n(4) Lucas 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 Amelia is a knight. No contradiction is found in their claim that Chloe is a knave or Elizabeth is a knave.", "Assume Chloe is a knight. No contradiction is found in their claim that Amelia is a knave or Logan is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that Lucas is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that Amelia is a knight.", "Elizabeth cannot be a knight, because this would contradict the claim of Amelia that Chloe is a knave or Elizabeth is a knave.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Chloe is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('lying', 2)), ('or', ('lying', 0), ('telling-truth', 4)), ('not', ('telling-truth', 1)), ('telling-truth', 0), ('telling-truth', 3))", "index": 817}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Grace, Aria, Evelyn, Mia, and Isabella. Grace noted, \"Mia is not a knight\". Aria commented, \"If Grace is a knight then Isabella is a knight\". Evelyn said that Grace is a knave and Isabella is a knave. Mia commented, \"Grace is a knight and Aria is a knave\". According to Isabella, \"Isabella is a knight or Grace is a knight\". So who is a knight and who is a knave?", "names": ["Grace", "Aria", "Evelyn", "Mia", "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": "Grace is a knight, Aria is a knight, Evelyn is a knave, Mia is a knave, and Isabella is a knight.", "solution_text_format": "(1) Grace is a knight\n(2) Aria is a knight\n(3) Evelyn is a knave\n(4) Mia 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 Grace is a knight. No contradiction is found in their claim that Mia is not a knight.", "Mia cannot be a knight, because this would contradict the claim of Grace that Mia is not a knight.", "Assume Mia is a knave. No contradiction is found in their false claim that Grace is a knight and Aria is a knave.", "Assume Aria is a knight. No contradiction is found in their claim that If Grace is a knight then Isabella is a knight.", "Assume Isabella is a knight. No contradiction is found in their claim that Isabella is a knight or Grace is a knight.", "Evelyn cannot be a knight, because this would contradict the claim of their own that Grace is a knave and Isabella is a knave.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Grace is a knave and Isabella is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 3)), ('->', ('telling-truth', 0), ('telling-truth', 4)), ('and', ('lying', 0), ('lying', 4)), ('and', ('telling-truth', 0), ('lying', 1)), ('or', ('telling-truth', 4), ('telling-truth', 0)))", "index": 818}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Chloe, Liam, Zoey, Evelyn, and Grace. According to Chloe, \"Evelyn is not a knight\". In Liam's words: \"Chloe is a knave if and only if Evelyn is a knave\". \"Liam is a knight,\" Zoey mentioned. According to Evelyn, \"Zoey is a knave or Grace is a knave\". \"Liam is not a knight,\" Grace claimed. So who is a knight and who is a knave?", "names": ["Chloe", "Liam", "Zoey", "Evelyn", "Grace"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true, true], "solution_text": "Chloe is a knave, Liam is a knave, Zoey is a knave, Evelyn is a knight, and Grace is a knight.", "solution_text_format": "(1) Chloe is a knave\n(2) Liam is a knave\n(3) Zoey is a knave\n(4) Evelyn 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 Chloe is a knight. No contradiction is found in their claim that Evelyn is not a knight.", "Evelyn cannot be a knight, because this would contradict the claim of Chloe that Evelyn is not a knight.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Zoey is a knave or Grace is a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that Liam is a knight.", "Liam cannot be a knight, because this would contradict the claim of their own that Chloe is a knave if and only if Evelyn is a knave.", "Liam cannot be a knave, because this would contradict the claim of Zoey that Liam is a knight.", "We have exhausted all possibilities for Liam, so let us go back and reconsider Zoey.", "Zoey cannot be a knave, because this would contradict the false claim of Evelyn that Zoey is a knave or Grace is a knave.", "We have exhausted all possibilities for Zoey and Evelyn, so let us go back and reconsider Chloe.", "Assume Chloe is a knave. No contradiction is found in their false claim that Evelyn is not a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that Zoey is a knave or Grace is a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that Liam is a knight.", "Liam cannot be a knight, because this would contradict the claim of their own that Chloe is a knave if and only if Evelyn is a knave.", "Liam cannot be a knave, because this would contradict the claim of Zoey that Liam is a knight.", "We have exhausted all possibilities for Liam, so let us go back and reconsider Zoey.", "Assume Zoey is a knave. No contradiction is found in their false claim that Liam is a knight.", "Liam cannot be a knight, because this would contradict the claim of their own that Chloe is a knave if and only if Evelyn is a knave.", "Assume Liam is a knave. No contradiction is found in their false claim that Chloe is a knave if and only if Evelyn is a knave.", "Assume Grace is a knight. No contradiction is found in their claim that Liam is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 3)), ('<=>', ('lying', 0), ('lying', 3)), ('telling-truth', 1), ('or', ('lying', 2), ('lying', 4)), ('not', ('telling-truth', 1)))", "index": 819}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Victoria, Scarlett, Oliver, Alexander, and Elizabeth. Victoria was heard saying, \"Oliver is not a knight\". Scarlett noted, \"Elizabeth is a knight and Scarlett is a knight\". \"Alexander is a knave or Oliver is a knight,\" Oliver claimed. Alexander remarked, \"Scarlett is a knight and Victoria is a knight\". Elizabeth remarked, \"Scarlett is not a knight\". So who is a knight and who is a knave?", "names": ["Victoria", "Scarlett", "Oliver", "Alexander", "Elizabeth"], "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": "Victoria is a knave, Scarlett is a knave, Oliver is a knight, Alexander is a knave, and Elizabeth is a knight.", "solution_text_format": "(1) Victoria is a knave\n(2) Scarlett is a knave\n(3) Oliver is a knight\n(4) Alexander is a knave\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 Victoria is a knight. No contradiction is found in their claim that Oliver is not a knight.", "Oliver cannot be a knight, because this would contradict the claim of Victoria that Oliver is not a knight.", "Assume Oliver is a knave. No contradiction is found in their false claim that Alexander is a knave or Oliver is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that Scarlett is a knight and Victoria is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that Elizabeth is a knight and Scarlett is a knight.", "Elizabeth cannot be a knight, because this would contradict the claim of their own that Scarlett is not a knight.", "Elizabeth cannot be a knave, because this would contradict the claim of Scarlett that Elizabeth is a knight and Scarlett is a knight.", "We have exhausted all possibilities for Elizabeth, so let us go back and reconsider Scarlett.", "Scarlett cannot be a knave, because this would contradict the claim of Alexander that Scarlett is a knight and Victoria is a knight.", "We have exhausted all possibilities for Scarlett, so let us go back and reconsider Alexander.", "Alexander cannot be a knave, because this would contradict the false claim of Oliver that Alexander is a knave or Oliver is a knight.", "We have exhausted all possibilities for Alexander and Oliver, so let us go back and reconsider Victoria.", "Assume Victoria is a knave. No contradiction is found in their false claim that Oliver is not a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that Alexander is a knave or Oliver is a knight.", "Alexander cannot be a knight, because this would contradict the claim of their own that Scarlett is a knight and Victoria is a knight.", "Assume Alexander is a knave. No contradiction is found in their false claim that Scarlett is a knight and Victoria is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that Elizabeth is a knight and Scarlett is a knight.", "Elizabeth cannot be a knight, because this would contradict the claim of their own that Scarlett is not a knight.", "Elizabeth cannot be a knave, because this would contradict the claim of Scarlett that Elizabeth is a knight and Scarlett is a knight.", "We have exhausted all possibilities for Elizabeth, so let us go back and reconsider Scarlett.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Elizabeth is a knight and Scarlett is a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Scarlett is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 2)), ('and', ('telling-truth', 4), ('telling-truth', 1)), ('or', ('lying', 3), ('telling-truth', 2)), ('and', ('telling-truth', 1), ('telling-truth', 0)), ('not', ('telling-truth', 1)))", "index": 820}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Oliver, Aiden, Daniel, Matthew, and Ethan. \"Ethan is a knave if and only if Ethan is a knight,\" Oliver mentioned. Aiden said, \"Ethan is a knave.\" Daniel remarked, \"Aiden is a knave\". According to Matthew, \"If Aiden is a knight then Oliver is a knight\". Ethan expressed that Aiden is a knave if and only if Matthew is a knave. So who is a knight and who is a knave?", "names": ["Oliver", "Aiden", "Daniel", "Matthew", "Ethan"], "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": "Oliver is a knave, Aiden is a knight, Daniel is a knave, Matthew is a knave, and Ethan is a knave.", "solution_text_format": "(1) Oliver is a knave\n(2) Aiden is a knight\n(3) Daniel is a knave\n(4) Matthew is a knave\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": ["Oliver cannot be a knight, because this would contradict the claim of their own that Ethan is a knave if and only if Ethan is a knight.", "Assume Oliver is a knave. No contradiction is found in their false claim that Ethan is a knave if and only if Ethan is a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that Aiden is a knave if and only if Matthew is a knave.", "Aiden cannot be a knight, because this would contradict the claim of their own that Ethan is a knave.", "Assume Aiden is a knave. No contradiction is found in their false claim that Ethan is a knave.", "Matthew cannot be a knight, because this would contradict the claim of Ethan that Aiden is a knave if and only if Matthew is a knave.", "Matthew cannot be a knave, because this would contradict the false claim of their own that If Aiden is a knight then Oliver is a knight.", "We have exhausted all possibilities for Matthew and Aiden, so let us go back and reconsider Ethan.", "Assume Ethan is a knave. No contradiction is found in their false claim that Aiden is a knave if and only if Matthew is a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that Ethan is a knave.", "Matthew cannot be a knight, because this would contradict the claim of their own that If Aiden is a knight then Oliver is a knight.", "Assume Matthew is a knave. No contradiction is found in their false claim that If Aiden is a knight then Oliver is a knight.", "Daniel cannot be a knight, because this would contradict the claim of their own that Aiden is a knave.", "Assume Daniel is a knave. No contradiction is found in their false claim that Aiden is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 4), ('telling-truth', 4)), ('lying', 4), ('lying', 1), ('->', ('telling-truth', 1), ('telling-truth', 0)), ('<=>', ('lying', 1), ('lying', 3)))", "index": 821}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: David, Oliver, Amelia, Riley, and Elizabeth. David was heard saying, \"Riley is a knave if and only if Riley is a knight\". As Oliver put it, \"Oliver is a knight and Elizabeth is a knight\". Amelia said, \"David is a knight.\" Riley remarked, \"Elizabeth is a knight if and only if Oliver is a knave\". \"David is not a knave\" - Elizabeth. So who is a knight and who is a knave?", "names": ["David", "Oliver", "Amelia", "Riley", "Elizabeth"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, false, false], "solution_text": "David is a knave, Oliver is a knave, Amelia is a knave, Riley is a knave, and Elizabeth is a knave.", "solution_text_format": "(1) David is a knave\n(2) Oliver is a knave\n(3) Amelia is a knave\n(4) Riley is a knave\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": ["David cannot be a knight, because this would contradict the claim of their own that Riley is a knave if and only if Riley is a knight.", "Assume David is a knave. No contradiction is found in their false claim that Riley is a knave if and only if Riley is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that Elizabeth is a knight if and only if Oliver is a knave.", "Elizabeth cannot be a knight, because this would contradict the claim of their own that David is not a knave.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that David is not a knave.", "Oliver cannot be a knight, because this would contradict the claim of their own that Oliver is a knight and Elizabeth is a knight.", "Oliver cannot be a knave, because this would contradict the claim of Riley that Elizabeth is a knight if and only if Oliver is a knave.", "We have exhausted all possibilities for Oliver and Elizabeth, so let us go back and reconsider Riley.", "Assume Riley is a knave. No contradiction is found in their false claim that Elizabeth is a knight if and only if Oliver is a knave.", "Elizabeth cannot be a knight, because this would contradict the claim of their own that David is not a knave.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that David is not a knave.", "Oliver cannot be a knight, because this would contradict the claim of their own that Oliver is a knight and Elizabeth is a knight.", "Assume Oliver is a knave. No contradiction is found in their false claim that Oliver is a knight and Elizabeth is a knight.", "Amelia cannot be a knight, because this would contradict the claim of their own that David is a knight.", "Assume Amelia is a knave. No contradiction is found in their false claim that David is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 3), ('telling-truth', 3)), ('and', ('telling-truth', 1), ('telling-truth', 4)), ('telling-truth', 0), ('<=>', ('telling-truth', 4), ('lying', 1)), ('not', ('lying', 0)))", "index": 822}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Ella, Harper, Henry, Jack, and Luke. \"If Ella is a knight then Harper is a knight,\" Ella mentioned. Harper noted, \"Jack is a knave or Ella is a knave\". Henry commented, \"Harper is not a knight\". Jack said that Jack is a knight if and only if Ella is a knight. Luke stated, \"Henry is a knight or Jack is a knave\". So who is a knight and who is a knave?", "names": ["Ella", "Harper", "Henry", "Jack", "Luke"], "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": "Ella is a knight, Harper is a knight, Henry is a knave, Jack is a knave, and Luke is a knight.", "solution_text_format": "(1) Ella is a knight\n(2) Harper is a knight\n(3) Henry is a knave\n(4) Jack 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 Ella is a knight. No contradiction is found in their claim that If Ella is a knight then Harper is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that Jack is a knave or Ella is a knave.", "Jack cannot be a knight, because this would contradict the claim of Harper that Jack is a knave or Ella is a knave.", "Assume Jack is a knave. No contradiction is found in their false claim that Jack is a knight if and only if Ella is a knight.", "Henry cannot be a knight, because this would contradict the claim of their own that Harper is not a knight.", "Assume Henry is a knave. No contradiction is found in their false claim that Harper is not a knight.", "Assume Luke is a knight. No contradiction is found in their claim that Henry is a knight or Jack is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 0), ('telling-truth', 1)), ('or', ('lying', 3), ('lying', 0)), ('not', ('telling-truth', 1)), ('<=>', ('telling-truth', 3), ('telling-truth', 0)), ('or', ('telling-truth', 2), ('lying', 3)))", "index": 823}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Mason, Avery, Sofia, Benjamin, and Michael. Mason told you that If Benjamin is a knight then Sofia is a knight. In a statement by Avery: \"Michael is a knight and Mason is a knight\". Sofia remarked, \"Benjamin is a knight if and only if Mason is a knight\". In Benjamin's words: \"Michael is a knave\". Michael was heard saying, \"Mason is not a knight\". So who is a knight and who is a knave?", "names": ["Mason", "Avery", "Sofia", "Benjamin", "Michael"], "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": "Mason is a knight, Avery is a knave, Sofia is a knight, Benjamin is a knight, and Michael is a knave.", "solution_text_format": "(1) Mason is a knight\n(2) Avery is a knave\n(3) Sofia is a knight\n(4) Benjamin is a knight\n(5) Michael is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Mason is a knight. No contradiction is found in their claim that If Benjamin is a knight then Sofia is a knight.", "Assume Benjamin 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 Benjamin that Michael is a knave.", "Assume Michael is a knave. No contradiction is found in their false claim that Mason is not a knight.", "Assume Sofia is a knight. No contradiction is found in their claim that Benjamin is a knight if and only if Mason is a knight.", "Avery cannot be a knight, because this would contradict the claim of their own that Michael is a knight and Mason is a knight.", "Assume Avery is a knave. No contradiction is found in their false claim that Michael is a knight and Mason is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 3), ('telling-truth', 2)), ('and', ('telling-truth', 4), ('telling-truth', 0)), ('<=>', ('telling-truth', 3), ('telling-truth', 0)), ('lying', 4), ('not', ('telling-truth', 0)))", "index": 824}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Mia, Benjamin, Ava, Lily, and Alexander. Mia commented, \"Alexander is a knave and Lily is a knave\". Benjamin noted, \"Lily is a knave and Mia is a knave\". Ava commented, \"Lily is not a knight\". Lily commented, \"Benjamin is a knight\". Alexander stated, \"Ava is a knave\". So who is a knight and who is a knave?", "names": ["Mia", "Benjamin", "Ava", "Lily", "Alexander"], "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": "Mia is a knight, Benjamin is a knave, Ava is a knight, Lily is a knave, and Alexander is a knave.", "solution_text_format": "(1) Mia is a knight\n(2) Benjamin is a knave\n(3) Ava is a knight\n(4) Lily 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 Mia is a knight. No contradiction is found in their claim that Alexander is a knave and Lily is a knave.", "Alexander cannot be a knight, because this would contradict the claim of Mia that Alexander is a knave and Lily is a knave.", "Assume Alexander is a knave. No contradiction is found in their false claim that Ava is a knave.", "Assume Ava is a knight. No contradiction is found in their claim that Lily is not a knight.", "Lily cannot be a knight, because this would contradict the claim of Mia that Alexander is a knave and Lily is a knave.", "Assume Lily is a knave. No contradiction is found in their false claim that Benjamin is a knight.", "Benjamin cannot be a knight, because this would contradict the claim of their own that Lily is a knave and Mia is a knave.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Lily is a knave and Mia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 4), ('lying', 3)), ('and', ('lying', 3), ('lying', 0)), ('not', ('telling-truth', 3)), ('telling-truth', 1), ('lying', 2))", "index": 825}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Isabella, David, Mason, Samuel, and Aiden. Isabella told you that Mason is a knight. David told you that If Aiden is a knight then Mason is a knave. Mason was heard saying, \"Isabella is a knave if and only if Aiden is a knight\". As Samuel put it, \"Mason is a knave\". \"Samuel is a knave or Aiden is a knight,\" Aiden claimed. So who is a knight and who is a knave?", "names": ["Isabella", "David", "Mason", "Samuel", "Aiden"], "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": "Isabella is a knave, David is a knight, Mason is a knave, Samuel is a knight, and Aiden is a knave.", "solution_text_format": "(1) Isabella is a knave\n(2) David is a knight\n(3) Mason is a knave\n(4) Samuel 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 Isabella is a knight. No contradiction is found in their claim that Mason is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that Isabella is a knave if and only if Aiden is a knight.", "Aiden cannot be a knight, because this would contradict the claim of Mason that Isabella is a knave if and only if Aiden is a knight.", "Assume Aiden is a knave. No contradiction is found in their false claim that Samuel is a knave or Aiden is a knight.", "Samuel cannot be a knight, because this would contradict the claim of their own that Mason is a knave.", "Samuel cannot be a knave, because this would contradict the false claim of Aiden that Samuel is a knave or Aiden is a knight.", "We have exhausted all possibilities for Samuel and Aiden, so let us go back and reconsider Mason.", "Mason cannot be a knave, because this would contradict the claim of Isabella that Mason is a knight.", "We have exhausted all possibilities for Mason, so let us go back and reconsider Isabella.", "Assume Isabella is a knave. No contradiction is found in their false claim that Mason is a knight.", "Mason cannot be a knight, because this would contradict the false claim of Isabella that Mason is a knight.", "Assume Mason is a knave. No contradiction is found in their false claim that Isabella is a knave if and only if Aiden is a knight.", "Aiden cannot be a knight, because this would contradict the false claim of Mason that Isabella is a knave if and only if Aiden is a knight.", "Assume Aiden is a knave. No contradiction is found in their false claim that Samuel is a knave or Aiden is a knight.", "Assume Samuel is a knight. No contradiction is found in their claim that Mason is a knave.", "Assume David is a knight. No contradiction is found in their claim that If Aiden is a knight then Mason is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 2), ('->', ('telling-truth', 4), ('lying', 2)), ('<=>', ('lying', 0), ('telling-truth', 4)), ('lying', 2), ('or', ('lying', 3), ('telling-truth', 4)))", "index": 826}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Mia, Ella, Aiden, Mason, and Daniel. Mia expressed that Ella is a knight and Mason is a knave. In a statement by Ella: \"Mia is not a knight\". Aiden commented, \"Mason is a knave or Ella is a knight\". In a statement by Mason: \"Ella is a knight and Mia is a knave\". Daniel said that Ella is not a knight. So who is a knight and who is a knave?", "names": ["Mia", "Ella", "Aiden", "Mason", "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": "Mia is a knave, Ella is a knight, Aiden is a knight, Mason is a knight, and Daniel is a knave.", "solution_text_format": "(1) Mia is a knave\n(2) Ella is a knight\n(3) Aiden is a knight\n(4) Mason 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 Mia is a knight. No contradiction is found in their claim that Ella is a knight and Mason is a knave.", "Ella cannot be a knight, because this would contradict the claim of their own that Mia is not a knight.", "Ella cannot be a knave, because this would contradict the claim of Mia that Ella is a knight and Mason is a knave.", "We have exhausted all possibilities for Ella, so let us go back and reconsider Mia.", "Assume Mia is a knave. No contradiction is found in their false claim that Ella is a knight and Mason is a knave.", "Assume Ella is a knight. No contradiction is found in their claim that Mia is not a knight.", "Assume Mason is a knight. No contradiction is found in their claim that Ella is a knight and Mia is a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that Mason is a knave or Ella is a knight.", "Daniel cannot be a knight, because this would contradict the claim of their own that Ella is not a knight.", "Assume Daniel is a knave. No contradiction is found in their false claim that Ella is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('lying', 3)), ('not', ('telling-truth', 0)), ('or', ('lying', 3), ('telling-truth', 1)), ('and', ('telling-truth', 1), ('lying', 0)), ('not', ('telling-truth', 1)))", "index": 827}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aria, Sebastian, David, Sophia, and James. \"David is a knave or Sebastian is a knight,\" Aria claimed. In a statement by Sebastian: \"Aria is not a knave\". David remarked, \"James is a knight or Aria is a knight\". Sophia expressed that James is not a knight. James was heard saying, \"Aria is a knight\". So who is a knight and who is a knave?", "names": ["Aria", "Sebastian", "David", "Sophia", "James"], "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": "Aria is a knight, Sebastian is a knight, David is a knight, Sophia is a knave, and James is a knight.", "solution_text_format": "(1) Aria is a knight\n(2) Sebastian is a knight\n(3) David is a knight\n(4) Sophia is a knave\n(5) James is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aria is a knight. No contradiction is found in their claim that David is a knave or Sebastian is a knight.", "Assume David is a knight. No contradiction is found in their claim that James is a knight or Aria is a knight.", "Assume James is a knight. No contradiction is found in their claim that Aria is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Aria is not a knave.", "Sophia cannot be a knight, because this would contradict the claim of their own that James is not a knight.", "Assume Sophia is a knave. No contradiction is found in their false claim that James is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 2), ('telling-truth', 1)), ('not', ('lying', 0)), ('or', ('telling-truth', 4), ('telling-truth', 0)), ('not', ('telling-truth', 4)), ('telling-truth', 0))", "index": 828}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Lucas, Avery, Ethan, Aurora, and Noah. Lucas asserted: \"If Ethan is a knight then Avery is a knave\". In a statement by Avery: \"Noah is a knave and Aurora is a knave\". \"Avery is not a knight,\" Ethan claimed. Aurora expressed that Avery is a knight and Ethan is a knave. \"If Avery is a knave then Ethan is a knight,\" Noah claimed. So who is a knight and who is a knave?", "names": ["Lucas", "Avery", "Ethan", "Aurora", "Noah"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false, true], "solution_text": "Lucas is a knight, Avery is a knave, Ethan is a knight, Aurora is a knave, and Noah is a knight.", "solution_text_format": "(1) Lucas is a knight\n(2) Avery is a knave\n(3) Ethan is a knight\n(4) Aurora 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 If Ethan is a knight then Avery is a knave.", "Assume Ethan 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 Lucas that If Ethan is a knight then Avery is a knave.", "Assume Avery is a knave. No contradiction is found in their false claim that Noah is a knave and Aurora is a knave.", "Assume Noah is a knight. No contradiction is found in their claim that If Avery is a knave then Ethan is a knight.", "Aurora cannot be a knight, because this would contradict the claim of their own that Avery is a knight and Ethan is a knave.", "Assume Aurora is a knave. No contradiction is found in their false claim that Avery is a knight and Ethan is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 2), ('lying', 1)), ('and', ('lying', 4), ('lying', 3)), ('not', ('telling-truth', 1)), ('and', ('telling-truth', 1), ('lying', 2)), ('->', ('lying', 1), ('telling-truth', 2)))", "index": 829}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Abigail, Olivia, Logan, Joseph, and Sebastian. Abigail told you that If Sebastian is a knave then Abigail is a knight. \"Logan is a knight and Joseph is a knave,\" Olivia declared. Logan remarked, \"If Abigail is a knight then Abigail is a knave\". As Joseph put it, \"Olivia is a knight\". \"Olivia is not a knight,\" Sebastian mentioned. So who is a knight and who is a knave?", "names": ["Abigail", "Olivia", "Logan", "Joseph", "Sebastian"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false, true], "solution_text": "Abigail is a knight, Olivia is a knave, Logan is a knave, Joseph is a knave, and Sebastian is a knight.", "solution_text_format": "(1) Abigail is a knight\n(2) Olivia is a knave\n(3) Logan is a knave\n(4) Joseph is a knave\n(5) Sebastian is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Abigail is a knight. No contradiction is found in their claim that If Sebastian is a knave then Abigail is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Olivia is not a knight.", "Olivia cannot be a knight, because this would contradict the claim of Sebastian that Olivia is not a knight.", "Assume Olivia is a knave. No contradiction is found in their false claim that Logan is a knight and Joseph is a knave.", "Logan cannot be a knight, because this would contradict the claim of their own that If Abigail is a knight then Abigail is a knave.", "Assume Logan is a knave. No contradiction is found in their false claim that If Abigail is a knight then Abigail is a knave.", "Joseph cannot be a knight, because this would contradict the claim of their own that Olivia is a knight.", "Assume Joseph is a knave. No contradiction is found in their false claim that Olivia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 4), ('telling-truth', 0)), ('and', ('telling-truth', 2), ('lying', 3)), ('->', ('telling-truth', 0), ('lying', 0)), ('telling-truth', 1), ('not', ('telling-truth', 1)))", "index": 830}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Owen, Mason, Chloe, Benjamin, and Ella. \"Mason is a knave if and only if Owen is a knight,\" Owen declared. Mason expressed that Chloe is a knight or Owen is a knave. Chloe told you that Benjamin is a knave if and only if Owen is a knave. \"Benjamin is a knight\" - Benjamin. According to Ella, \"If Benjamin is a knave then Chloe is a knave\". So who is a knight and who is a knave?", "names": ["Owen", "Mason", "Chloe", "Benjamin", "Ella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false, true], "solution_text": "Owen is a knight, Mason is a knave, Chloe is a knave, Benjamin is a knave, and Ella is a knight.", "solution_text_format": "(1) Owen is a knight\n(2) Mason is a knave\n(3) Chloe is a knave\n(4) Benjamin is a knave\n(5) Ella is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Owen is a knight. No contradiction is found in their claim that Mason is a knave if and only if Owen is a knight.", "Mason cannot be a knight, because this would contradict the claim of Owen that Mason is a knave if and only if Owen is a knight.", "Assume Mason is a knave. No contradiction is found in their false claim that Chloe is a knight or Owen is a knave.", "Chloe cannot be a knight, because this would contradict the false claim of Mason that Chloe is a knight or Owen is a knave.", "Assume Chloe is a knave. No contradiction is found in their false claim that Benjamin is a knave if and only if Owen is a knave.", "Benjamin cannot be a knight, because this would contradict the false claim of Chloe that Benjamin is a knave if and only if Owen is a knave.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Benjamin is a knight.", "Assume Ella is a knight. No contradiction is found in their claim that If Benjamin is a knave then Chloe is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('telling-truth', 0)), ('or', ('telling-truth', 2), ('lying', 0)), ('<=>', ('lying', 3), ('lying', 0)), ('telling-truth', 3), ('->', ('lying', 3), ('lying', 2)))", "index": 831}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aurora, Jack, Joseph, Emma, and Oliver. \"Joseph is a knight and Oliver is a knight\" - Aurora. Jack expressed that Joseph is a knave if and only if Emma is a knave. Joseph was heard saying, \"Emma is a knight if and only if Emma is a knave\". \"Oliver is a knight if and only if Joseph is a knave\" - Emma. As Oliver put it, \"Joseph is a knight and Jack is a knave\". So who is a knight and who is a knave?", "names": ["Aurora", "Jack", "Joseph", "Emma", "Oliver"], "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": "Aurora is a knave, Jack is a knight, Joseph is a knave, Emma is a knave, and Oliver is a knave.", "solution_text_format": "(1) Aurora is a knave\n(2) Jack is a knight\n(3) Joseph is a knave\n(4) Emma is a knave\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 and Oliver is a knight.", "Joseph cannot be a knight, because this would contradict the claim of their own that Emma is a knight if and only if Emma is a knave.", "Joseph cannot be a knave, because this would contradict the claim of Aurora that Joseph is a knight and Oliver 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 and Oliver is a knight.", "Joseph cannot be a knight, because this would contradict the claim of their own that Emma is a knight if and only if Emma is a knave.", "Assume Joseph is a knave. No contradiction is found in their false claim that Emma is a knight if and only if Emma is a knave.", "Assume Emma is a knight. No contradiction is found in their claim that Oliver is a knight if and only if Joseph is a knave.", "Oliver cannot be a knight, because this would contradict the claim of their own that Joseph is a knight and Jack is a knave.", "Oliver cannot be a knave, because this would contradict the claim of Emma that Oliver is a knight if and only if Joseph is a knave.", "We have exhausted all possibilities for Oliver, so let us go back and reconsider Emma.", "Assume Emma is a knave. No contradiction is found in their false claim that Oliver is a knight if and only if Joseph is a knave.", "Oliver cannot be a knight, because this would contradict the false claim of Emma that Oliver is a knight if and only if Joseph is a knave.", "Assume Oliver is a knave. No contradiction is found in their false claim that Joseph is a knight and Jack is a knave.", "Assume Jack is a knight. No contradiction is found in their claim that Joseph is a knave if and only if Emma is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 2), ('telling-truth', 4)), ('<=>', ('lying', 2), ('lying', 3)), ('<=>', ('telling-truth', 3), ('lying', 3)), ('<=>', ('telling-truth', 4), ('lying', 2)), ('and', ('telling-truth', 2), ('lying', 1)))", "index": 832}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Jacob, Emily, Sebastian, Samuel, and Noah. According to Jacob, \"Samuel is a knight and Sebastian is a knight\". Emily remarked, \"Noah is a knight if and only if Samuel is a knight\". \"Emily is a knave,\" Sebastian mentioned. \"Emily is a knight or Samuel is a knight,\" Samuel claimed. Noah expressed that Sebastian is not a knave. So who is a knight and who is a knave?", "names": ["Jacob", "Emily", "Sebastian", "Samuel", "Noah"], "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": "Jacob is a knave, Emily is a knave, Sebastian is a knight, Samuel is a knave, and Noah is a knight.", "solution_text_format": "(1) Jacob is a knave\n(2) Emily is a knave\n(3) Sebastian is a knight\n(4) Samuel 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 Samuel is a knight and Sebastian is a knight.", "Assume Samuel is a knight. No contradiction is found in their claim that Emily is a knight or Samuel is a knight.", "Assume Emily is a knight. No contradiction is found in their claim that Noah is a knight if and only if Samuel is a knight.", "Assume Noah is a knight. No contradiction is found in their claim that Sebastian is not a knave.", "Sebastian cannot be a knight, because this would contradict the claim of their own that Emily is a knave.", "Sebastian cannot be a knave, because this would contradict the claim of Jacob that Samuel is a knight and Sebastian is a knight.", "We have exhausted all possibilities for Sebastian, so let us go back and reconsider Noah.", "Noah cannot be a knave, because this would contradict the claim of Emily that Noah is a knight if and only if Samuel is a knight.", "We have exhausted all possibilities for Noah, so let us go back and reconsider Emily.", "Assume Emily is a knave. No contradiction is found in their false claim that Noah is a knight if and only if Samuel is a knight.", "Noah cannot be a knight, because this would contradict the false claim of Emily that Noah is a knight if and only if Samuel is a knight.", "Assume Noah is a knave. No contradiction is found in their false claim that Sebastian is not a knave.", "Sebastian cannot be a knight, because this would contradict the false claim of Noah that Sebastian is not a knave.", "Sebastian cannot be a knave, because this would contradict the claim of Jacob that Samuel is a knight and Sebastian is a knight.", "We have exhausted all possibilities for Sebastian, Noah, and Emily, so let us go back and reconsider Samuel.", "Samuel cannot be a knave, because this would contradict the claim of Jacob that Samuel is a knight and Sebastian is a knight.", "We have exhausted all possibilities for Samuel, so let us go back and reconsider Jacob.", "Assume Jacob is a knave. No contradiction is found in their false claim that Samuel is a knight and Sebastian is a knight.", "Assume Samuel is a knight. No contradiction is found in their claim that Emily is a knight or Samuel is a knight.", "Assume Emily is a knight. No contradiction is found in their claim that Noah is a knight if and only if Samuel is a knight.", "Assume Noah is a knight. No contradiction is found in their claim that Sebastian is not a knave.", "Sebastian cannot be a knight, because this would contradict the false claim of Jacob that Samuel is a knight and Sebastian is a knight.", "Sebastian cannot be a knave, because this would contradict the claim of Noah that Sebastian is not a knave.", "We have exhausted all possibilities for Sebastian, so let us go back and reconsider Noah.", "Noah cannot be a knave, because this would contradict the claim of Emily that Noah is a knight if and only if Samuel is a knight.", "We have exhausted all possibilities for Noah, so let us go back and reconsider Emily.", "Assume Emily is a knave. No contradiction is found in their false claim that Noah is a knight if and only if Samuel is a knight.", "Noah cannot be a knight, because this would contradict the false claim of Emily that Noah is a knight if and only if Samuel is a knight.", "Assume Noah is a knave. No contradiction is found in their false claim that Sebastian is not a knave.", "Sebastian cannot be a knight, because this would contradict the false claim of Jacob that Samuel is a knight and Sebastian is a knight.", "Sebastian cannot be a knave, because this would contradict the false claim of their own that Emily is a knave.", "We have exhausted all possibilities for Sebastian, Noah, and Emily, so let us go back and reconsider Samuel.", "Assume Samuel is a knave. No contradiction is found in their false claim that Emily is a knight or Samuel is a knight.", "Emily cannot be a knight, because this would contradict the false claim of Samuel that Emily is a knight or Samuel is a knight.", "Assume Emily is a knave. No contradiction is found in their false claim that Noah is a knight if and only if Samuel is a knight.", "Assume Noah 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 Emily is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 3), ('telling-truth', 2)), ('<=>', ('telling-truth', 4), ('telling-truth', 3)), ('lying', 1), ('or', ('telling-truth', 1), ('telling-truth', 3)), ('not', ('lying', 2)))", "index": 833}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Victoria, Lily, Scarlett, Jacob, and Ethan. According to Victoria, \"Lily is a knave or Jacob is a knave\". Lily expressed that Victoria is a knave or Scarlett is a knave. Scarlett told you that Ethan is a knave and Lily is a knave. Jacob asserted: \"Lily is a knave or Scarlett is a knight\". Ethan was heard saying, \"Ethan is a knight or Victoria is a knight\". So who is a knight and who is a knave?", "names": ["Victoria", "Lily", "Scarlett", "Jacob", "Ethan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false, true], "solution_text": "Victoria is a knight, Lily is a knight, Scarlett is a knave, Jacob is a knave, and Ethan is a knight.", "solution_text_format": "(1) Victoria is a knight\n(2) Lily is a knight\n(3) Scarlett is a knave\n(4) Jacob is a knave\n(5) 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 Victoria is a knight. No contradiction is found in their claim that Lily is a knave or Jacob is a knave.", "Assume Lily is a knight. No contradiction is found in their claim that Victoria is a knave or Scarlett is a knave.", "Scarlett cannot be a knight, because this would contradict the claim of Lily that Victoria is a knave or Scarlett is a knave.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Ethan is a knave and Lily is a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that Ethan is a knight or Victoria is a knight.", "Jacob cannot be a knight, because this would contradict the claim of Victoria that Lily is a knave or Jacob is a knave.", "Assume Jacob is a knave. No contradiction is found in their false claim that Lily is a knave or Scarlett is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('lying', 3)), ('or', ('lying', 0), ('lying', 2)), ('and', ('lying', 4), ('lying', 1)), ('or', ('lying', 1), ('telling-truth', 2)), ('or', ('telling-truth', 4), ('telling-truth', 0)))", "index": 834}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Logan, Henry, Riley, Lucas, and Jack. Logan commented, \"Lucas is a knave\". Henry noted, \"Lucas is a knight and Riley is a knight\". \"Riley is a knight if and only if Logan is a knave\" - Riley. \"Riley is a knave and Jack is a knave\" - Lucas. Jack expressed that Henry is a knight. So who is a knight and who is a knave?", "names": ["Logan", "Henry", "Riley", "Lucas", "Jack"], "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": "Logan is a knave, Henry is a knave, Riley is a knave, Lucas is a knight, and Jack is a knave.", "solution_text_format": "(1) Logan is a knave\n(2) Henry is a knave\n(3) Riley is a knave\n(4) Lucas is a knight\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 Logan is a knight. No contradiction is found in their claim that Lucas is a knave.", "Lucas cannot be a knight, because this would contradict the claim of Logan that Lucas is a knave.", "Assume Lucas is a knave. No contradiction is found in their false claim that Riley is a knave and Jack is a knave.", "Riley cannot be a knight, because this would contradict the claim of their own that Riley is a knight if and only if Logan is a knave.", "Riley cannot be a knave, because this would contradict the false claim of their own that Riley is a knight if and only if Logan is a knave.", "We have exhausted all possibilities for Riley and Lucas, so let us go back and reconsider Logan.", "Assume Logan is a knave. No contradiction is found in their false claim that Lucas is a knave.", "Assume Lucas is a knight. No contradiction is found in their claim that Riley is a knave and Jack is a knave.", "Riley cannot be a knight, because this would contradict the claim of Lucas that Riley is a knave and Jack is a knave.", "Assume Riley is a knave. No contradiction is found in their false claim that Riley is a knight if and only if Logan is a knave.", "Jack cannot be a knight, because this would contradict the claim of Lucas that Riley is a knave and Jack is a knave.", "Assume Jack is a knave. No contradiction is found in their false claim that Henry is a knight.", "Henry cannot be a knight, because this would contradict the claim of their own that Lucas is a knight and Riley is a knight.", "Assume Henry is a knave. No contradiction is found in their false claim that Lucas is a knight and Riley is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 3), ('and', ('telling-truth', 3), ('telling-truth', 2)), ('<=>', ('telling-truth', 2), ('lying', 0)), ('and', ('lying', 2), ('lying', 4)), ('telling-truth', 1))", "index": 835}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Owen, Sofia, Aiden, Charlotte, and Noah. \"Noah is a knave and Charlotte is a knight\" - Owen. Sofia stated, \"Noah is a knight or Owen is a knave\". \"Owen is a knave and Sofia is a knight,\" Aiden claimed. \"Noah is a knight or Aiden is a knight,\" Charlotte declared. \"Owen is a knave and Sofia is a knight,\" Noah declared. So who is a knight and who is a knave?", "names": ["Owen", "Sofia", "Aiden", "Charlotte", "Noah"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, true], "solution_text": "Owen is a knave, Sofia is a knight, Aiden is a knight, Charlotte is a knight, and Noah is a knight.", "solution_text_format": "(1) Owen is a knave\n(2) Sofia is a knight\n(3) Aiden is a knight\n(4) Charlotte is a knight\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 Owen is a knight. No contradiction is found in their claim that Noah is a knave and Charlotte is a knight.", "Noah cannot be a knight, because this would contradict the claim of Owen that Noah is a knave and Charlotte is a knight.", "Assume Noah is a knave. No contradiction is found in their false claim that Owen is a knave and Sofia is a knight.", "Sofia cannot be a knight, because this would contradict the claim of their own that Noah is a knight or Owen is a knave.", "Assume Sofia is a knave. No contradiction is found in their false claim that Noah is a knight or Owen is a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that Noah is a knight or Aiden is a knight.", "Aiden cannot be a knight, because this would contradict the claim of their own that Owen is a knave and Sofia is a knight.", "Aiden cannot be a knave, because this would contradict the claim of Charlotte that Noah is a knight or Aiden is a knight.", "We have exhausted all possibilities for Aiden, so let us go back and reconsider Charlotte.", "Charlotte cannot be a knave, because this would contradict the claim of Owen that Noah is a knave and Charlotte is a knight.", "We have exhausted all possibilities for Charlotte, Sofia, and Noah, so let us go back and reconsider Owen.", "Assume Owen is a knave. No contradiction is found in their false claim that Noah is a knave and Charlotte is a knight.", "Assume Noah is a knight. No contradiction is found in their claim that Owen is a knave and Sofia is a knight.", "Assume Sofia is a knight. No contradiction is found in their claim that Noah is a knight or Owen is a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that Noah is a knight or Aiden is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that Owen is a knave and Sofia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 4), ('telling-truth', 3)), ('or', ('telling-truth', 4), ('lying', 0)), ('and', ('lying', 0), ('telling-truth', 1)), ('or', ('telling-truth', 4), ('telling-truth', 2)), ('and', ('lying', 0), ('telling-truth', 1)))", "index": 836}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Daniel, Lucas, Benjamin, Logan, and Joseph. In Daniel's words: \"Benjamin is not a knight\". Lucas expressed that Logan is a knight. In a statement by Benjamin: \"Lucas is a knave and Joseph is a knave\". In a statement by Logan: \"Joseph is a knave\". According to Joseph, \"If Daniel is a knight then Benjamin is a knight\". So who is a knight and who is a knave?", "names": ["Daniel", "Lucas", "Benjamin", "Logan", "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": "Daniel is a knight, Lucas is a knight, Benjamin is a knave, Logan is a knight, and Joseph is a knave.", "solution_text_format": "(1) Daniel is a knight\n(2) Lucas is a knight\n(3) Benjamin is a knave\n(4) Logan 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 Daniel is a knight. No contradiction is found in their claim that Benjamin is not a knight.", "Benjamin cannot be a knight, because this would contradict the claim of Daniel that Benjamin is not a knight.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Lucas is a knave and Joseph is a knave.", "Assume Lucas is a knight. No contradiction is found in their claim that Logan is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that Joseph is a knave.", "Joseph cannot be a knight, because this would contradict the claim of Logan that Joseph is a knave.", "Assume Joseph is a knave. No contradiction is found in their false claim that If Daniel is a knight then Benjamin is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 2)), ('telling-truth', 3), ('and', ('lying', 1), ('lying', 4)), ('lying', 4), ('->', ('telling-truth', 0), ('telling-truth', 2)))", "index": 837}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Jack, Sebastian, Benjamin, Olivia, and Scarlett. Jack expressed that If Olivia is a knight then Jack is a knight. Sebastian noted, \"If Jack is a knave then Benjamin is a knight\". Benjamin was heard saying, \"Olivia is a knave or Sebastian is a knight\". Olivia remarked, \"Jack is a knight\". \"Benjamin is a knight\" - Scarlett. So who is a knight and who is a knave?", "names": ["Jack", "Sebastian", "Benjamin", "Olivia", "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": "Jack is a knight, Sebastian is a knight, Benjamin is a knight, Olivia is a knight, and Scarlett is a knight.", "solution_text_format": "(1) Jack is a knight\n(2) Sebastian is a knight\n(3) Benjamin is a knight\n(4) Olivia 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 Jack is a knight. No contradiction is found in their claim that If Olivia is a knight then Jack is a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that Jack is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that If Jack is a knave then Benjamin is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that Olivia is a knave or Sebastian is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that Benjamin is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 3), ('telling-truth', 0)), ('->', ('lying', 0), ('telling-truth', 2)), ('or', ('lying', 3), ('telling-truth', 1)), ('telling-truth', 0), ('telling-truth', 2))", "index": 838}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aria, David, Lucas, Charlotte, and Sofia. Aria said, \"David is a knave.\" David was heard saying, \"Charlotte is a knight or Charlotte is a knave\". Lucas told you that If Aria is a knight then David is a knave. Charlotte stated, \"If Lucas is a knave then Charlotte is a knight\". Sofia expressed that If Sofia is a knight then Lucas is a knight. So who is a knight and who is a knave?", "names": ["Aria", "David", "Lucas", "Charlotte", "Sofia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, true], "solution_text": "Aria is a knave, David is a knight, Lucas is a knight, Charlotte is a knight, and Sofia is a knight.", "solution_text_format": "(1) Aria is a knave\n(2) David is a knight\n(3) Lucas is a knight\n(4) Charlotte is a knight\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 Aria 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 Aria that David is a knave.", "David cannot be a knave, because this would contradict the false claim of their own that Charlotte is a knight or Charlotte is a knave.", "We have exhausted all possibilities for David, so let us go back and reconsider Aria.", "Assume Aria 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 Charlotte is a knight or Charlotte is a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that If Lucas is a knave then Charlotte is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that If Aria is a knight then David is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that If Sofia is a knight then Lucas is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('or', ('telling-truth', 3), ('lying', 3)), ('->', ('telling-truth', 0), ('lying', 1)), ('->', ('lying', 2), ('telling-truth', 3)), ('->', ('telling-truth', 4), ('telling-truth', 2)))", "index": 839}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Joseph, James, Mia, Samuel, and Isabella. \"James is a knight or Mia is a knight,\" Joseph mentioned. As James put it, \"Joseph is a knight or Mia is a knave\". In Mia's words: \"Isabella is a knave\". Samuel was heard saying, \"Mia is a knight\". \"If Samuel is a knave then James is a knight,\" Isabella mentioned. So who is a knight and who is a knave?", "names": ["Joseph", "James", "Mia", "Samuel", "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": "Joseph is a knight, James is a knight, Mia is a knave, Samuel is a knave, and Isabella is a knight.", "solution_text_format": "(1) Joseph is a knight\n(2) James is a knight\n(3) Mia is a knave\n(4) Samuel 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 Joseph is a knight. No contradiction is found in their claim that James is a knight or Mia is a knight.", "Assume James is a knight. No contradiction is found in their claim that Joseph is a knight or Mia is a knave.", "Assume Mia is a knight. No contradiction is found in their claim that Isabella is a knave.", "Isabella cannot be a knight, because this would contradict the claim of Mia that Isabella is a knave.", "Isabella cannot be a knave, because this would contradict the false claim of their own that If Samuel is a knave then James is a knight.", "We have exhausted all possibilities for Isabella, so let us go back and reconsider Mia.", "Assume Mia is a knave. No contradiction is found in their false claim that Isabella is a knave.", "Assume Isabella is a knight. No contradiction is found in their claim that If Samuel is a knave then James is a knight.", "Samuel cannot be a knight, because this would contradict the claim of their own that Mia is a knight.", "Assume Samuel is a knave. No contradiction is found in their false claim that Mia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 1), ('telling-truth', 2)), ('or', ('telling-truth', 0), ('lying', 2)), ('lying', 4), ('telling-truth', 2), ('->', ('lying', 3), ('telling-truth', 1)))", "index": 840}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Charlotte, David, Avery, Sofia, and Ella. Charlotte expressed that Sofia is not a knight. David told you that Avery is not a knave. According to Avery, \"David is a knave if and only if Sofia is a knave\". Sofia said that If Sofia is a knight then David is a knight. \"David is a knave and Avery is a knave,\" Ella declared. So who is a knight and who is a knave?", "names": ["Charlotte", "David", "Avery", "Sofia", "Ella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, false], "solution_text": "Charlotte is a knave, David is a knight, Avery is a knight, Sofia is a knight, and Ella is a knave.", "solution_text_format": "(1) Charlotte is a knave\n(2) David is a knight\n(3) Avery is a knight\n(4) Sofia is a knight\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 Charlotte is a knight. No contradiction is found in their claim that Sofia is not a knight.", "Sofia cannot be a knight, because this would contradict the claim of Charlotte that Sofia is not a knight.", "Sofia cannot be a knave, because this would contradict the false claim of their own that If Sofia is a knight then David is a knight.", "We have exhausted all possibilities for Sofia, so let us go back and reconsider Charlotte.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Sofia is not a knight.", "Assume Sofia is a knight. No contradiction is found in their claim that If Sofia is a knight then David is a knight.", "Assume David is a knight. No contradiction is found in their claim that Avery is not a knave.", "Assume Avery is a knight. No contradiction is found in their claim that David is a knave if and only if Sofia is a knave.", "Ella cannot be a knight, because this would contradict the claim of their own that David is a knave and Avery is a knave.", "Assume Ella is a knave. No contradiction is found in their false claim that David is a knave and Avery is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 3)), ('not', ('lying', 2)), ('<=>', ('lying', 1), ('lying', 3)), ('->', ('telling-truth', 3), ('telling-truth', 1)), ('and', ('lying', 1), ('lying', 2)))", "index": 841}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Grace, Elizabeth, Amelia, Sophia, and Jacob. \"Grace is a knight or Jacob is a knave,\" Grace claimed. Elizabeth was heard saying, \"Grace is a knight and Sophia is a knave\". \"If Sophia is a knight then Grace is a knight\" - Amelia. Sophia remarked, \"Amelia is a knight\". \"If Sophia is a knight then Grace is a knave,\" Jacob mentioned. So who is a knight and who is a knave?", "names": ["Grace", "Elizabeth", "Amelia", "Sophia", "Jacob"], "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": "Grace is a knight, Elizabeth is a knave, Amelia is a knight, Sophia is a knight, and Jacob is a knave.", "solution_text_format": "(1) Grace is a knight\n(2) Elizabeth is a knave\n(3) Amelia is a knight\n(4) Sophia 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 Grace is a knight. No contradiction is found in their claim that Grace is a knight or Jacob is a knave.", "Assume Jacob is a knight. No contradiction is found in their claim that If Sophia is a knight then Grace is a knave.", "Sophia cannot be a knight, because this would contradict the claim of Jacob that If Sophia is a knight then Grace is a knave.", "Assume Sophia is a knave. No contradiction is found in their false claim that Amelia is a knight.", "Amelia cannot be a knight, because this would contradict the false claim of Sophia that Amelia is a knight.", "Amelia cannot be a knave, because this would contradict the false claim of their own that If Sophia is a knight then Grace is a knight.", "We have exhausted all possibilities for Amelia and Sophia, so let us go back and reconsider Jacob.", "Assume Jacob is a knave. No contradiction is found in their false claim that If Sophia is a knight then Grace is a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that Amelia is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that If Sophia is a knight then Grace is a knight.", "Elizabeth cannot be a knight, because this would contradict the claim of their own that Grace is a knight and Sophia is a knave.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Grace is a knight and Sophia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 0), ('lying', 4)), ('and', ('telling-truth', 0), ('lying', 3)), ('->', ('telling-truth', 3), ('telling-truth', 0)), ('telling-truth', 2), ('->', ('telling-truth', 3), ('lying', 0)))", "index": 842}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aiden, Jackson, Joseph, Grace, and Aurora. As Aiden put it, \"Grace is a knight if and only if Joseph is a knave\". \"Aurora is a knave or Grace is a knight\" - Jackson. As Joseph put it, \"Aurora is a knight or Grace is a knave\". Grace commented, \"Jackson is a knave or Joseph is a knight\". Aurora remarked, \"Joseph is not a knave\". So who is a knight and who is a knave?", "names": ["Aiden", "Jackson", "Joseph", "Grace", "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": "Aiden is a knave, Jackson is a knight, Joseph is a knight, Grace is a knight, and Aurora is a knight.", "solution_text_format": "(1) Aiden is a knave\n(2) Jackson is a knight\n(3) Joseph is a knight\n(4) Grace 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 Aiden is a knight. No contradiction is found in their claim that Grace is a knight if and only if Joseph is a knave.", "Assume Grace is a knight. No contradiction is found in their claim that Jackson is a knave or Joseph is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that Aurora is a knave or Grace is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that Joseph is not a knave.", "Joseph cannot be a knight, because this would contradict the claim of Aiden that Grace is a knight if and only if Joseph is a knave.", "Joseph cannot be a knave, because this would contradict the false claim of their own that Aurora is a knight or Grace is a knave.", "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 not a knave.", "Joseph cannot be a knight, because this would contradict the claim of Aiden that Grace is a knight if and only if Joseph is a knave.", "Joseph cannot be a knave, because this would contradict the claim of Grace that Jackson is a knave or Joseph is a knight.", "We have exhausted all possibilities for Joseph and Aurora, so let us go back and reconsider Jackson.", "Jackson cannot be a knave, because this would contradict the false claim of their own that Aurora is a knave or Grace is a knight.", "We have exhausted all possibilities for Jackson, so let us go back and reconsider Grace.", "Assume Grace is a knave. No contradiction is found in their false claim that Jackson is a knave or Joseph is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that Aurora is a knave or Grace is a knight.", "Aurora cannot be a knight, because this would contradict the claim of Jackson that Aurora is a knave or Grace is a knight.", "Assume Aurora is a knave. No contradiction is found in their false claim that Joseph is not a knave.", "Joseph cannot be a knight, because this would contradict the false claim of Grace that Jackson is a knave or Joseph is a knight.", "Joseph cannot be a knave, because this would contradict the claim of Aiden that Grace is a knight if and only if Joseph is a knave.", "We have exhausted all possibilities for Joseph and Aurora, so let us go back and reconsider Jackson.", "Jackson cannot be a knave, because this would contradict the false claim of Grace that Jackson is a knave or Joseph is a knight.", "We have exhausted all possibilities for Jackson and Grace, so let us go back and reconsider Aiden.", "Assume Aiden is a knave. No contradiction is found in their false claim that Grace is a knight if and only if Joseph is a knave.", "Assume Grace is a knight. No contradiction is found in their claim that Jackson is a knave or Joseph is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that Aurora is a knave or Grace is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that Joseph is not a knave.", "Assume Joseph is a knight. No contradiction is found in their claim that Aurora is a knight or Grace is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 3), ('lying', 2)), ('or', ('lying', 4), ('telling-truth', 3)), ('or', ('telling-truth', 4), ('lying', 3)), ('or', ('lying', 1), ('telling-truth', 2)), ('not', ('lying', 2)))", "index": 843}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Daniel, Sebastian, Logan, William, and Lucas. Daniel said, \"Lucas is a knave.\" As Sebastian put it, \"Logan is not a knave\". Logan told you that Sebastian is a knave or William is a knave. \"Sebastian is a knave\" - William. In Lucas's words: \"If Sebastian is a knight then William is a knight\". So who is a knight and who is a knave?", "names": ["Daniel", "Sebastian", "Logan", "William", "Lucas"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false, false], "solution_text": "Daniel is a knight, Sebastian is a knight, Logan is a knight, William is a knave, and Lucas is a knave.", "solution_text_format": "(1) Daniel is a knight\n(2) Sebastian is a knight\n(3) Logan is a knight\n(4) William is a knave\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 Daniel is a knight. No contradiction is found in their claim that Lucas is a knave.", "Lucas cannot be a knight, because this would contradict the claim of Daniel that Lucas is a knave.", "Assume Lucas is a knave. No contradiction is found in their false claim that If Sebastian is a knight then William is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Logan is not a knave.", "Assume Logan is a knight. No contradiction is found in their claim that Sebastian is a knave or William is a knave.", "William cannot be a knight, because this would contradict the claim of Logan that Sebastian is a knave or William is a knave.", "Assume William is a knave. No contradiction is found in their false claim that Sebastian is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 4), ('not', ('lying', 2)), ('or', ('lying', 1), ('lying', 3)), ('lying', 1), ('->', ('telling-truth', 1), ('telling-truth', 3)))", "index": 844}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Matthew, Logan, Jacob, Emma, and Jackson. Matthew commented, \"Emma is a knight if and only if Logan is a knight\". In a statement by Logan: \"Jacob is a knave if and only if Emma is a knave\". In Jacob's words: \"Matthew is a knave if and only if Logan is a knave\". Emma commented, \"Jackson is a knave or Emma is a knight\". Jackson was heard saying, \"Jacob is a knight if and only if Matthew is a knave\". So who is a knight and who is a knave?", "names": ["Matthew", "Logan", "Jacob", "Emma", "Jackson"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, false], "solution_text": "Matthew is a knight, Logan is a knight, Jacob is a knight, Emma is a knight, and Jackson is a knave.", "solution_text_format": "(1) Matthew is a knight\n(2) Logan is a knight\n(3) Jacob is a knight\n(4) Emma is a knight\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 Matthew is a knight. No contradiction is found in their claim that Emma is a knight if and only if Logan is a knight.", "Assume Emma is a knight. No contradiction is found in their claim that Jackson is a knave or Emma is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that Jacob is a knight if and only if Matthew is a knave.", "Jacob cannot be a knight, because this would contradict the claim of Jackson that Jacob is a knight if and only if Matthew is a knave.", "Assume Jacob is a knave. No contradiction is found in their false claim that Matthew is a knave if and only if Logan is a knave.", "Logan cannot be a knight, because this would contradict the claim of their own that Jacob is a knave if and only if Emma is a knave.", "Logan cannot be a knave, because this would contradict the claim of Matthew that Emma is a knight if and only if Logan is a knight.", "We have exhausted all possibilities for Logan and Jacob, so let us go back and reconsider Jackson.", "Assume Jackson is a knave. No contradiction is found in their false claim that Jacob is a knight if and only if Matthew is a knave.", "Assume Jacob is a knight. No contradiction is found in their claim that Matthew is a knave if and only if Logan is a knave.", "Assume Logan is a knight. No contradiction is found in their claim that Jacob is a knave if and only if Emma is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 3), ('telling-truth', 1)), ('<=>', ('lying', 2), ('lying', 3)), ('<=>', ('lying', 0), ('lying', 1)), ('or', ('lying', 4), ('telling-truth', 3)), ('<=>', ('telling-truth', 2), ('lying', 0)))", "index": 845}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Olivia, Luke, Daniel, Ethan, and Jacob. Olivia commented, \"Ethan is a knight and Luke is a knight\". Luke said that If Ethan is a knave then Ethan is a knight. Daniel was heard saying, \"Olivia is a knight or Luke is a knight\". Ethan was heard saying, \"Jacob is a knave or Jacob is a knight\". Jacob said that If Daniel is a knight then Luke is a knave. So who is a knight and who is a knave?", "names": ["Olivia", "Luke", "Daniel", "Ethan", "Jacob"], "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": "Olivia is a knight, Luke is a knight, Daniel is a knight, Ethan is a knight, and Jacob is a knave.", "solution_text_format": "(1) Olivia is a knight\n(2) Luke is a knight\n(3) Daniel is a knight\n(4) Ethan 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 Olivia is a knight. No contradiction is found in their claim that Ethan is a knight and Luke is a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that Jacob is a knave or Jacob is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that If Daniel is a knight then Luke is a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that Olivia is a knight or Luke is a knight.", "Luke cannot be a knight, because this would contradict the claim of Jacob that If Daniel is a knight then Luke is a knave.", "Luke cannot be a knave, because this would contradict the claim of Olivia that Ethan is a knight and Luke is a knight.", "We have exhausted all possibilities for Luke, so let us go back and reconsider Daniel.", "Daniel cannot be a knave, because this would contradict the false claim of their own that Olivia is a knight or Luke is a knight.", "We have exhausted all possibilities for Daniel, so let us go back and reconsider Jacob.", "Assume Jacob is a knave. No contradiction is found in their false claim that If Daniel is a knight then Luke is a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that Olivia is a knight or Luke is a knight.", "Assume Luke is a knight. No contradiction is found in their claim that If Ethan is a knave then Ethan is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 3), ('telling-truth', 1)), ('->', ('lying', 3), ('telling-truth', 3)), ('or', ('telling-truth', 0), ('telling-truth', 1)), ('or', ('lying', 4), ('telling-truth', 4)), ('->', ('telling-truth', 2), ('lying', 1)))", "index": 846}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Avery, Jack, Charlotte, Harper, and Jacob. Avery commented, \"Charlotte is a knave or Jack is a knave\". In a statement by Jack: \"Avery is a knight or Charlotte is a knight\". \"Jacob is a knight or Charlotte is a knight,\" Charlotte claimed. Harper told you that Charlotte is a knight if and only if Avery is a knight. \"Harper is not a knight\" - Jacob. So who is a knight and who is a knave?", "names": ["Avery", "Jack", "Charlotte", "Harper", "Jacob"], "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": "Avery is a knave, Jack is a knight, Charlotte is a knight, Harper is a knave, and Jacob is a knight.", "solution_text_format": "(1) Avery is a knave\n(2) Jack is a knight\n(3) Charlotte is a knight\n(4) Harper is a knave\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 Avery is a knight. No contradiction is found in their claim that Charlotte is a knave or Jack is a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that Jacob is a knight or Charlotte is a knight.", "Assume Jacob 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 Jacob that Harper is not a knight.", "Harper cannot be a knave, because this would contradict the false claim of their own that Charlotte is a knight if and only if Avery is a knight.", "We have exhausted all possibilities for Harper, so let us go back and reconsider Jacob.", "Assume Jacob is a knave. No contradiction is found in their false claim that Harper is not a knight.", "Assume Harper is a knight. No contradiction is found in their claim that Charlotte is a knight if and only if Avery is a knight.", "Jack cannot be a knight, because this would contradict the claim of Avery that Charlotte is a knave or Jack is a knave.", "Jack cannot be a knave, because this would contradict the false claim of their own that Avery is a knight or Charlotte is a knight.", "We have exhausted all possibilities for Jack, so let us go back and reconsider Harper.", "Harper cannot be a knave, because this would contradict the false claim of their own that Charlotte is a knight if and only if Avery is a knight.", "We have exhausted all possibilities for Harper and Jacob, so let us go back and reconsider Charlotte.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Jacob is a knight or Charlotte is a knight.", "Jacob cannot be a knight, because this would contradict the false claim of Charlotte that Jacob is a knight or Charlotte is a knight.", "Assume Jacob is a knave. No contradiction is found in their false claim that Harper is not a knight.", "Harper cannot be a knight, because this would contradict the claim of their own that Charlotte is a knight if and only if Avery is a knight.", "Harper cannot be a knave, because this would contradict the false claim of Jacob that Harper is not a knight.", "We have exhausted all possibilities for Harper, Jacob, and Charlotte, so let us go back and reconsider Avery.", "Assume Avery is a knave. No contradiction is found in their false claim that Charlotte is a knave or Jack is a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that Jacob is a knight or Charlotte is a knight.", "Assume Jacob 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 their own that Charlotte is a knight if and only if Avery is a knight.", "Assume Harper is a knave. No contradiction is found in their false claim that Charlotte is a knight if and only if Avery is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that Avery is a knight or Charlotte is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 2), ('lying', 1)), ('or', ('telling-truth', 0), ('telling-truth', 2)), ('or', ('telling-truth', 4), ('telling-truth', 2)), ('<=>', ('telling-truth', 2), ('telling-truth', 0)), ('not', ('telling-truth', 3)))", "index": 847}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Mia, Michael, Emma, Sofia, and Olivia. As Mia put it, \"Sofia is a knave or Sofia is a knight\". Michael expressed that Sofia is a knight if and only if Emma is a knave. Emma expressed that Michael is a knave and Mia is a knave. \"Emma is a knight and Sofia is a knight\" - Sofia. \"Mia is not a knight,\" Olivia claimed. So who is a knight and who is a knave?", "names": ["Mia", "Michael", "Emma", "Sofia", "Olivia"], "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": "Mia is a knight, Michael is a knave, Emma is a knave, Sofia is a knave, and Olivia is a knave.", "solution_text_format": "(1) Mia is a knight\n(2) Michael is a knave\n(3) Emma is a knave\n(4) Sofia is a knave\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 Mia is a knight. No contradiction is found in their claim that Sofia is a knave or Sofia is a knight.", "Assume Sofia is a knight. No contradiction is found in their claim that Emma is a knight and Sofia is a knight.", "Emma cannot be a knight, because this would contradict the claim of their own that Michael is a knave and Mia is a knave.", "Emma cannot be a knave, because this would contradict the claim of Sofia that Emma is a knight and Sofia is a knight.", "We have exhausted all possibilities for Emma, so let us go back and reconsider Sofia.", "Assume Sofia is a knave. No contradiction is found in their false claim that Emma is a knight and Sofia is a knight.", "Emma cannot be a knight, because this would contradict the claim of their own that Michael is a knave and Mia is a knave.", "Assume Emma is a knave. No contradiction is found in their false claim that Michael is a knave and Mia is a knave.", "Michael cannot be a knight, because this would contradict the claim of their own that Sofia is a knight if and only if Emma is a knave.", "Assume Michael is a knave. No contradiction is found in their false claim that Sofia is a knight if and only if Emma is a knave.", "Olivia cannot be a knight, because this would contradict the claim of their own that Mia is not a knight.", "Assume Olivia is a knave. No contradiction is found in their false claim that Mia is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 3), ('telling-truth', 3)), ('<=>', ('telling-truth', 3), ('lying', 2)), ('and', ('lying', 1), ('lying', 0)), ('and', ('telling-truth', 2), ('telling-truth', 3)), ('not', ('telling-truth', 0)))", "index": 848}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Alexander, Penelope, Evelyn, Aurora, and Sebastian. Alexander stated, \"Sebastian is a knave or Sebastian is a knight\". Penelope said, \"Alexander is a knave and Penelope is a knight.\" \"If Alexander is a knave then Penelope is a knave,\" Evelyn declared. \"Evelyn is a knave,\" Aurora claimed. Sebastian stated, \"Aurora is a knave or Evelyn is a knave\". So who is a knight and who is a knave?", "names": ["Alexander", "Penelope", "Evelyn", "Aurora", "Sebastian"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false, true], "solution_text": "Alexander is a knight, Penelope is a knave, Evelyn is a knight, Aurora is a knave, and Sebastian is a knight.", "solution_text_format": "(1) Alexander is a knight\n(2) Penelope is a knave\n(3) Evelyn is a knight\n(4) Aurora is a knave\n(5) Sebastian is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Alexander is a knight. No contradiction is found in their claim that Sebastian is a knave or Sebastian is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Aurora is a knave or Evelyn is a knave.", "Assume Aurora is a knight. No contradiction is found in their claim that Evelyn is a knave.", "Evelyn cannot be a knight, because this would contradict the claim of Aurora that Evelyn is a knave.", "Evelyn cannot be a knave, because this would contradict the false claim of their own that If Alexander is a knave then Penelope is a knave.", "We have exhausted all possibilities for Evelyn, so let us go back and reconsider Aurora.", "Assume Aurora is a knave. No contradiction is found in their false claim that Evelyn is a knave.", "Assume Evelyn is a knight. No contradiction is found in their claim that If Alexander is a knave then Penelope is a knave.", "Penelope cannot be a knight, because this would contradict the claim of their own that Alexander is a knave and Penelope is a knight.", "Assume Penelope is a knave. No contradiction is found in their false claim that Alexander is a knave and Penelope is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 4), ('telling-truth', 4)), ('and', ('lying', 0), ('telling-truth', 1)), ('->', ('lying', 0), ('lying', 1)), ('lying', 2), ('or', ('lying', 3), ('lying', 2)))", "index": 849}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aurora, Matthew, Jack, Sebastian, and Logan. Aurora commented, \"Matthew is a knave or Logan is a knave\". \"Logan is a knave and Sebastian is a knight,\" Matthew declared. Jack said that Aurora is a knight. In a statement by Sebastian: \"Matthew is a knave or Logan is a knight\". In Logan's words: \"Aurora is not a knave\". So who is a knight and who is a knave?", "names": ["Aurora", "Matthew", "Jack", "Sebastian", "Logan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, true], "solution_text": "Aurora is a knight, Matthew is a knave, Jack is a knight, Sebastian is a knight, and Logan is a knight.", "solution_text_format": "(1) Aurora is a knight\n(2) Matthew is a knave\n(3) Jack is a knight\n(4) Sebastian 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 Aurora is a knight. No contradiction is found in their claim that Matthew is a knave or Logan is a knave.", "Assume Matthew is a knight. No contradiction is found in their claim that Logan is a knave and Sebastian is a knight.", "Logan cannot be a knight, because this would contradict the claim of Aurora that Matthew is a knave or Logan is a knave.", "Logan cannot be a knave, because this would contradict the false claim of their own that Aurora is not a knave.", "We have exhausted all possibilities for Logan, so let us go back and reconsider Matthew.", "Assume Matthew is a knave. No contradiction is found in their false claim that Logan is a knave and Sebastian is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that Aurora is not a knave.", "Assume Sebastian is a knight. No contradiction is found in their claim that Matthew is a knave or Logan is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that Aurora is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('lying', 4)), ('and', ('lying', 4), ('telling-truth', 3)), ('telling-truth', 0), ('or', ('lying', 1), ('telling-truth', 4)), ('not', ('lying', 0)))", "index": 850}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Mia, Sophia, Avery, Jackson, and Michael. Mia remarked, \"Sophia is a knave and Mia is a knight\". As Sophia put it, \"If Jackson is a knight then Avery is a knave\". Avery told you that Michael is a knight. \"Sophia is a knight if and only if Michael is a knave,\" Jackson declared. Michael told you that Mia is a knight and Sophia is a knight. So who is a knight and who is a knave?", "names": ["Mia", "Sophia", "Avery", "Jackson", "Michael"], "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": "Mia is a knave, Sophia is a knight, Avery is a knave, Jackson is a knight, and Michael is a knave.", "solution_text_format": "(1) Mia is a knave\n(2) Sophia is a knight\n(3) Avery is a knave\n(4) Jackson is a knight\n(5) Michael is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Mia is a knight. No contradiction is found in their claim that Sophia is a knave and Mia is a knight.", "Sophia cannot be a knight, because this would contradict the claim of Mia that Sophia is a knave and Mia is a knight.", "Assume Sophia is a knave. No contradiction is found in their false claim that If Jackson is a knight then Avery is a knave.", "Assume Jackson is a knight. No contradiction is found in their claim that Sophia is a knight if and only if Michael is a knave.", "Michael cannot be a knight, because this would contradict the claim of their own that Mia is a knight and Sophia is a knight.", "Michael cannot be a knave, because this would contradict the claim of Jackson that Sophia is a knight if and only if Michael is a knave.", "We have exhausted all possibilities for Michael, so let us go back and reconsider Jackson.", "Jackson cannot be a knave, because this would contradict the false claim of Sophia that If Jackson is a knight then Avery is a knave.", "We have exhausted all possibilities for Jackson and Sophia, so let us go back and reconsider Mia.", "Assume Mia is a knave. No contradiction is found in their false claim that Sophia is a knave and Mia is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that If Jackson is a knight then Avery is a knave.", "Assume Jackson is a knight. No contradiction is found in their claim that Sophia is a knight if and only if Michael is a knave.", "Michael cannot be a knight, because this would contradict the claim of Jackson that Sophia is a knight if and only if Michael is a knave.", "Assume Michael is a knave. No contradiction is found in their false claim that Mia is a knight and Sophia is a knight.", "Avery cannot be a knight, because this would contradict the claim of Sophia that If Jackson is a knight then Avery is a knave.", "Assume Avery is a knave. No contradiction is found in their false claim that Michael is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('telling-truth', 0)), ('->', ('telling-truth', 3), ('lying', 2)), ('telling-truth', 4), ('<=>', ('telling-truth', 1), ('lying', 4)), ('and', ('telling-truth', 0), ('telling-truth', 1)))", "index": 851}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aiden, Noah, Henry, Aurora, and Ava. According to Aiden, \"Henry is a knight or Ava is a knight\". Noah told you that Ava is a knave if and only if Henry is a knight. Henry said, \"Noah is a knight if and only if Aurora is a knave.\" Aurora told you that Aiden is a knave. \"Ava is a knight\" - Ava. So who is a knight and who is a knave?", "names": ["Aiden", "Noah", "Henry", "Aurora", "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": "Aiden is a knight, Noah is a knight, Henry is a knight, Aurora is a knave, and Ava is a knave.", "solution_text_format": "(1) Aiden is a knight\n(2) Noah is a knight\n(3) Henry is a knight\n(4) Aurora 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 Aiden is a knight. No contradiction is found in their claim that Henry is a knight or Ava is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that Noah is a knight if and only if Aurora is a knave.", "Assume Noah is a knight. No contradiction is found in their claim that Ava is a knave if and only if Henry is a knight.", "Ava cannot be a knight, because this would contradict the claim of Noah that Ava is a knave if and only if Henry is a knight.", "Assume Ava is a knave. No contradiction is found in their false claim that Ava is a knight.", "Aurora cannot be a knight, because this would contradict the claim of Henry that Noah is a knight if and only if Aurora is a knave.", "Assume Aurora is a knave. No contradiction is found in their false claim that Aiden is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 2), ('telling-truth', 4)), ('<=>', ('lying', 4), ('telling-truth', 2)), ('<=>', ('telling-truth', 1), ('lying', 3)), ('lying', 0), ('telling-truth', 4))", "index": 852}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Jackson, Abigail, Aurora, Victoria, and Scarlett. \"If Abigail is a knight then Victoria is a knave,\" Jackson declared. \"Victoria is a knave and Scarlett is a knight\" - Abigail. As Aurora put it, \"Abigail is a knave\". Victoria commented, \"Abigail is a knight or Jackson is a knight\". Scarlett stated, \"Abigail is not a knave\". So who is a knight and who is a knave?", "names": ["Jackson", "Abigail", "Aurora", "Victoria", "Scarlett"], "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, Abigail is a knave, Aurora is a knight, Victoria is a knight, and Scarlett is a knave.", "solution_text_format": "(1) Jackson is a knight\n(2) Abigail is a knave\n(3) Aurora is a knight\n(4) Victoria 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 Jackson is a knight. No contradiction is found in their claim that If Abigail is a knight then Victoria is a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that Victoria is a knave and Scarlett is a knight.", "Victoria cannot be a knight, because this would contradict the claim of Jackson that If Abigail is a knight then Victoria is a knave.", "Victoria cannot be a knave, because this would contradict the false claim of their own that Abigail is a knight or Jackson is a knight.", "We have exhausted all possibilities for Victoria, so let us go back and reconsider Abigail.", "Assume Abigail is a knave. No contradiction is found in their false claim that Victoria is a knave and Scarlett is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that Abigail is a knight or Jackson is a knight.", "Scarlett cannot be a knight, because this would contradict the claim of their own that Abigail is not a knave.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Abigail is not a knave.", "Assume Aurora is a knight. No contradiction is found in their claim that Abigail is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 1), ('lying', 3)), ('and', ('lying', 3), ('telling-truth', 4)), ('lying', 1), ('or', ('telling-truth', 1), ('telling-truth', 0)), ('not', ('lying', 1)))", "index": 853}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Amelia, Owen, Victoria, Isabella, and Lucas. Amelia expressed that Victoria is a knave if and only if Victoria is a knight. According to Owen, \"Victoria is a knight if and only if Amelia is a knave\". Victoria was heard saying, \"Lucas is a knave or Isabella is a knight\". According to Isabella, \"If Victoria is a knave then Amelia is a knave\". Lucas said, \"Isabella is a knave or Owen is a knight.\" So who is a knight and who is a knave?", "names": ["Amelia", "Owen", "Victoria", "Isabella", "Lucas"], "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, Owen is a knight, Victoria is a knight, Isabella is a knight, and Lucas is a knight.", "solution_text_format": "(1) Amelia is a knave\n(2) Owen is a knight\n(3) Victoria is a knight\n(4) Isabella is a knight\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": ["Amelia cannot be a knight, because this would contradict the claim of their own that Victoria is a knave if and only if Victoria is a knight.", "Assume Amelia is a knave. No contradiction is found in their false claim that Victoria is a knave if and only if Victoria is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that Lucas is a knave or Isabella is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that Isabella is a knave or Owen is a knight.", "Assume Isabella is a knight. No contradiction is found in their claim that If Victoria is a knave then Amelia is a knave.", "Assume Owen is a knight. No contradiction is found in their claim that Victoria is a knight if and only if Amelia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 2), ('telling-truth', 2)), ('<=>', ('telling-truth', 2), ('lying', 0)), ('or', ('lying', 4), ('telling-truth', 3)), ('->', ('lying', 2), ('lying', 0)), ('or', ('lying', 3), ('telling-truth', 1)))", "index": 854}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Sophia, James, Abigail, Ava, and Joseph. Sophia asserted: \"Joseph is a knave or Ava is a knave\". As James put it, \"Ava is a knave if and only if Ava is a knight\". Abigail asserted: \"If Sophia is a knave then James is a knave\". \"Sophia is a knight or Abigail is a knave\" - Ava. \"Abigail is a knave or Sophia is a knave,\" Joseph mentioned. So who is a knight and who is a knave?", "names": ["Sophia", "James", "Abigail", "Ava", "Joseph"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, false], "solution_text": "Sophia is a knight, James is a knave, Abigail is a knight, Ava is a knight, and Joseph is a knave.", "solution_text_format": "(1) Sophia is a knight\n(2) James is a knave\n(3) Abigail is a knight\n(4) Ava 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 Sophia is a knight. No contradiction is found in their claim that Joseph is a knave or Ava is a knave.", "Assume Joseph is a knight. No contradiction is found in their claim that Abigail is a knave or Sophia is a knave.", "Abigail cannot be a knight, because this would contradict the claim of Joseph that Abigail is a knave or Sophia is a knave.", "Abigail cannot be a knave, because this would contradict the false claim of their own that If Sophia is a knave then James is a knave.", "We have exhausted all possibilities for Abigail, so let us go back and reconsider Joseph.", "Assume Joseph is a knave. No contradiction is found in their false claim that Abigail is a knave or Sophia is a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that If Sophia is a knave then James is a knave.", "James cannot be a knight, because this would contradict the claim of their own that Ava is a knave if and only if Ava is a knight.", "Assume James is a knave. No contradiction is found in their false claim that Ava is a knave if and only if Ava is a knight.", "Assume Ava is a knight. No contradiction is found in their claim that Sophia is a knight or Abigail is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 4), ('lying', 3)), ('<=>', ('lying', 3), ('telling-truth', 3)), ('->', ('lying', 0), ('lying', 1)), ('or', ('telling-truth', 0), ('lying', 2)), ('or', ('lying', 2), ('lying', 0)))", "index": 855}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: William, Daniel, Amelia, David, and Victoria. In a statement by William: \"If Amelia is a knight then Daniel is a knight\". Daniel said, \"William is a knight or David is a knave.\" Amelia expressed that Daniel is a knight if and only if Victoria is a knave. According to David, \"If Daniel is a knave then Victoria is a knave\". Victoria expressed that David is a knave. So who is a knight and who is a knave?", "names": ["William", "Daniel", "Amelia", "David", "Victoria"], "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": "William is a knight, Daniel is a knight, Amelia is a knight, David is a knight, and Victoria is a knave.", "solution_text_format": "(1) William is a knight\n(2) Daniel is a knight\n(3) Amelia is a knight\n(4) David is a knight\n(5) Victoria is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume William is a knight. No contradiction is found in their claim that If Amelia is a knight then Daniel is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that Daniel is a knight if and only if Victoria is a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that William is a knight or David is a knave.", "Assume David is a knight. No contradiction is found in their claim that If Daniel is a knave then Victoria is a knave.", "Victoria cannot be a knight, because this would contradict the claim of Amelia that Daniel is a knight if and only if Victoria is a knave.", "Assume Victoria is a knave. No contradiction is found in their false claim that David is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 2), ('telling-truth', 1)), ('or', ('telling-truth', 0), ('lying', 3)), ('<=>', ('telling-truth', 1), ('lying', 4)), ('->', ('lying', 1), ('lying', 4)), ('lying', 3))", "index": 856}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Ava, Matthew, Isabella, Logan, and Liam. Ava told you that Liam is a knave. \"Liam is a knave if and only if Liam is a knight,\" Matthew mentioned. According to Isabella, \"Liam is a knave and Matthew is a knave\". \"Liam is a knave,\" Logan declared. Liam was heard saying, \"Logan is a knave and Logan is a knight\". So who is a knight and who is a knave?", "names": ["Ava", "Matthew", "Isabella", "Logan", "Liam"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, false], "solution_text": "Ava is a knight, Matthew is a knave, Isabella is a knight, Logan is a knight, and Liam is a knave.", "solution_text_format": "(1) Ava is a knight\n(2) Matthew is a knave\n(3) Isabella is a knight\n(4) Logan 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 Ava is a knight. No contradiction is found in their claim that Liam is a knave.", "Liam cannot be a knight, because this would contradict the claim of Ava that Liam is a knave.", "Assume Liam is a knave. No contradiction is found in their false claim that Logan is a knave and Logan is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that Liam is a knave.", "Matthew 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 Matthew 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 Isabella is a knight. No contradiction is found in their claim that Liam is a knave and Matthew is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 4), ('<=>', ('lying', 4), ('telling-truth', 4)), ('and', ('lying', 4), ('lying', 1)), ('lying', 4), ('and', ('lying', 3), ('telling-truth', 3)))", "index": 857}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Oliver, Abigail, Joseph, Sebastian, and Aiden. Oliver noted, \"Sebastian is a knight or Joseph is a knight\". According to Abigail, \"Oliver is not a knight\". Joseph was heard saying, \"If Aiden is a knave then Oliver is a knight\". In Sebastian's words: \"Aiden is not a knight\". Aiden told you that If Oliver is a knave then Sebastian is a knave. So who is a knight and who is a knave?", "names": ["Oliver", "Abigail", "Joseph", "Sebastian", "Aiden"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false, true], "solution_text": "Oliver is a knight, Abigail is a knave, Joseph is a knight, Sebastian is a knave, and Aiden is a knight.", "solution_text_format": "(1) Oliver is a knight\n(2) Abigail is a knave\n(3) Joseph is a knight\n(4) Sebastian is a knave\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 Oliver is a knight. No contradiction is found in their claim that Sebastian is a knight or Joseph is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Aiden is not a knight.", "Aiden cannot be a knight, because this would contradict the claim of Sebastian that Aiden is not a knight.", "Aiden cannot be a knave, because this would contradict the false claim of their own that If Oliver is a knave then Sebastian is a knave.", "We have exhausted all possibilities for Aiden, so let us go back and reconsider Sebastian.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Aiden is not a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that If Oliver is a knave then Sebastian is a knave.", "Assume Joseph is a knight. No contradiction is found in their claim that If Aiden is a knave then Oliver is a knight.", "Abigail cannot be a knight, because this would contradict the claim of their own that Oliver is not a knight.", "Assume Abigail is a knave. No contradiction is found in their false claim that Oliver is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 3), ('telling-truth', 2)), ('not', ('telling-truth', 0)), ('->', ('lying', 4), ('telling-truth', 0)), ('not', ('telling-truth', 4)), ('->', ('lying', 0), ('lying', 3)))", "index": 858}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Olivia, Charlotte, Joseph, Aurora, and Liam. Olivia noted, \"If Charlotte is a knave then Charlotte is a knight\". \"Liam is a knave or Olivia is a knave,\" Charlotte mentioned. Joseph commented, \"If Aurora is a knight then Olivia is a knave\". As Aurora put it, \"Joseph is a knave\". Liam said that Joseph is a knight. So who is a knight and who is a knave?", "names": ["Olivia", "Charlotte", "Joseph", "Aurora", "Liam"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true, false], "solution_text": "Olivia is a knight, Charlotte is a knight, Joseph is a knave, Aurora is a knight, and Liam is a knave.", "solution_text_format": "(1) Olivia is a knight\n(2) Charlotte is a knight\n(3) Joseph is a knave\n(4) Aurora 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 Olivia is a knight. No contradiction is found in their claim that If Charlotte is a knave then Charlotte is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that Liam is a knave or Olivia is a knave.", "Liam cannot be a knight, because this would contradict the claim of Charlotte that Liam is a knave or Olivia is a knave.", "Assume Liam is a knave. No contradiction is found in their false claim that Joseph is a knight.", "Joseph cannot be a knight, because this would contradict the false claim of Liam that Joseph is a knight.", "Assume Joseph is a knave. No contradiction is found in their false claim that If Aurora is a knight then Olivia is a knave.", "Assume Aurora is a knight. No contradiction is found in their claim that Joseph is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 1), ('telling-truth', 1)), ('or', ('lying', 4), ('lying', 0)), ('->', ('telling-truth', 3), ('lying', 0)), ('lying', 2), ('telling-truth', 2))", "index": 859}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Ethan, Benjamin, Owen, Jacob, and Olivia. Ethan expressed that Jacob is a knight and Owen is a knave. Benjamin remarked, \"Benjamin is a knight and Ethan is a knave\". \"Jacob is a knight and Benjamin is a knave,\" Owen claimed. As Jacob put it, \"Benjamin is not a knave\". In Olivia's words: \"Benjamin is a knave and Ethan is a knight\". So who is a knight and who is a knave?", "names": ["Ethan", "Benjamin", "Owen", "Jacob", "Olivia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, false, false], "solution_text": "Ethan is a knave, Benjamin is a knave, Owen is a knave, Jacob is a knave, and Olivia is a knave.", "solution_text_format": "(1) Ethan is a knave\n(2) Benjamin is a knave\n(3) Owen is a knave\n(4) Jacob is a knave\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 Ethan is a knight. No contradiction is found in their claim that Jacob is a knight and Owen is a knave.", "Assume Jacob is a knight. No contradiction is found in their claim that Benjamin is not a knave.", "Benjamin cannot be a knight, because this would contradict the claim of their own that Benjamin is a knight and Ethan is a knave.", "Benjamin cannot be a knave, because this would contradict the claim of Jacob that Benjamin is not a knave.", "We have exhausted all possibilities for Benjamin, so let us go back and reconsider Jacob.", "Jacob cannot be a knave, because this would contradict the claim of Ethan that Jacob is a knight and Owen is a knave.", "We have exhausted all possibilities for Jacob, so let us go back and reconsider Ethan.", "Assume Ethan is a knave. No contradiction is found in their false claim that Jacob is a knight and Owen is a knave.", "Assume Jacob is a knight. No contradiction is found in their claim that Benjamin is not a knave.", "Assume Benjamin is a knight. No contradiction is found in their claim that Benjamin is a knight and Ethan is a knave.", "Owen cannot be a knight, because this would contradict the claim of their own that Jacob is a knight and Benjamin is a knave.", "Owen cannot be a knave, because this would contradict the false claim of Ethan that Jacob is a knight and Owen is a knave.", "We have exhausted all possibilities for Owen, so let us go back and reconsider Benjamin.", "Benjamin cannot be a knave, because this would contradict the claim of Jacob that Benjamin is not a knave.", "We have exhausted all possibilities for Benjamin, so let us go back and reconsider Jacob.", "Assume Jacob is a knave. No contradiction is found in their false claim that Benjamin is not a knave.", "Benjamin cannot be a knight, because this would contradict the false claim of Jacob that Benjamin is not a knave.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Benjamin is a knight and Ethan is a knave.", "Owen cannot be a knight, because this would contradict the claim of their own that Jacob is a knight and Benjamin is a knave.", "Assume Owen is a knave. No contradiction is found in their false claim that Jacob is a knight and Benjamin is a knave.", "Olivia cannot be a knight, because this would contradict the claim of their own that Benjamin is a knave and Ethan is a knight.", "Assume Olivia is a knave. No contradiction is found in their false claim that Benjamin is a knave and Ethan is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 3), ('lying', 2)), ('and', ('telling-truth', 1), ('lying', 0)), ('and', ('telling-truth', 3), ('lying', 1)), ('not', ('lying', 1)), ('and', ('lying', 1), ('telling-truth', 0)))", "index": 860}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Joseph, William, Penelope, Grace, and Zoey. Joseph commented, \"Zoey is a knight if and only if Zoey is a knave\". \"Joseph is a knight and Grace is a knave,\" William claimed. Penelope expressed that If Penelope is a knight then Zoey is a knight. Grace said, \"William is a knave or Zoey is a knight.\" Zoey was heard saying, \"Joseph is a knave\". So who is a knight and who is a knave?", "names": ["Joseph", "William", "Penelope", "Grace", "Zoey"], "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": "Joseph is a knave, William is a knave, Penelope is a knight, Grace is a knight, and Zoey is a knight.", "solution_text_format": "(1) Joseph is a knave\n(2) William is a knave\n(3) Penelope is a knight\n(4) Grace is a knight\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": ["Joseph cannot be a knight, because this would contradict the claim of their own that Zoey is a knight if and only if Zoey is a knave.", "Assume Joseph is a knave. No contradiction is found in their false claim that Zoey is a knight if and only if Zoey is a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that Joseph is a knave.", "William cannot be a knight, because this would contradict the claim of their own that Joseph is a knight and Grace is a knave.", "Assume William is a knave. No contradiction is found in their false claim that Joseph is a knight and Grace is a knave.", "Assume Grace is a knight. No contradiction is found in their claim that William is a knave or Zoey is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that If Penelope is a knight then Zoey is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 4), ('lying', 4)), ('and', ('telling-truth', 0), ('lying', 3)), ('->', ('telling-truth', 2), ('telling-truth', 4)), ('or', ('lying', 1), ('telling-truth', 4)), ('lying', 0))", "index": 861}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aurora, Zoey, David, Emma, and Mason. Aurora told you that David is a knave. According to Zoey, \"Aurora is a knave if and only if David is a knight\". David commented, \"If Zoey is a knight then Emma is a knave\". Emma was heard saying, \"If Aurora is a knave then Mason is a knight\". Mason said, \"Emma is not a knight.\" So who is a knight and who is a knave?", "names": ["Aurora", "Zoey", "David", "Emma", "Mason"], "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": "Aurora is a knight, Zoey is a knight, David is a knave, Emma is a knight, and Mason is a knave.", "solution_text_format": "(1) Aurora is a knight\n(2) Zoey is a knight\n(3) David is a knave\n(4) Emma 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 Aurora 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 Aurora that David is a knave.", "Assume David is a knave. No contradiction is found in their false claim that If Zoey is a knight then Emma is a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that Aurora is a knave if and only if David is a knight.", "Assume Emma is a knight. No contradiction is found in their claim that If Aurora is a knave then Mason is a knight.", "Mason cannot be a knight, because this would contradict the claim of their own that Emma is not a knight.", "Assume Mason is a knave. No contradiction is found in their false claim that Emma is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 2), ('<=>', ('lying', 0), ('telling-truth', 2)), ('->', ('telling-truth', 1), ('lying', 3)), ('->', ('lying', 0), ('telling-truth', 4)), ('not', ('telling-truth', 3)))", "index": 862}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aiden, David, Mason, Sebastian, and Ava. Aiden remarked, \"Ava is not a knave\". As David put it, \"David is a knight and Mason is a knight\". \"David is a knight if and only if Ava is a knave\" - Mason. In Sebastian's words: \"Mason is not a knight\". \"Sebastian is a knight\" - Ava. So who is a knight and who is a knave?", "names": ["Aiden", "David", "Mason", "Sebastian", "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": "Aiden is a knave, David is a knight, Mason is a knight, Sebastian is a knave, and Ava is a knave.", "solution_text_format": "(1) Aiden is a knave\n(2) David is a knight\n(3) Mason is a knight\n(4) Sebastian 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 Aiden is a knight. No contradiction is found in their claim that Ava is not a knave.", "Assume Ava is a knight. No contradiction is found in their claim that Sebastian is a knight.", "Assume Sebastian 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 Sebastian that Mason is not a knight.", "Assume Mason is a knave. No contradiction is found in their false claim that David is a knight if and only if Ava is a knave.", "David cannot be a knight, because this would contradict the claim of their own that David is a knight and Mason is a knight.", "David cannot be a knave, because this would contradict the false claim of Mason that David is a knight if and only if Ava is a knave.", "We have exhausted all possibilities for David and Mason, so let us go back and reconsider Sebastian.", "Sebastian cannot be a knave, because this would contradict the claim of Ava that Sebastian is a knight.", "We have exhausted all possibilities for Sebastian, so let us go back and reconsider Ava.", "Ava cannot be a knave, because this would contradict the claim of Aiden that Ava is not a knave.", "We have exhausted all possibilities for Ava, so let us go back and reconsider Aiden.", "Assume Aiden is a knave. No contradiction is found in their false claim that Ava is not a knave.", "Ava cannot be a knight, because this would contradict the false claim of Aiden that Ava is not a knave.", "Assume Ava is a knave. No contradiction is found in their false claim that Sebastian is a knight.", "Sebastian cannot be a knight, because this would contradict the false claim of Ava that Sebastian is a knight.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Mason is not a knight.", "Assume Mason is a knight. No contradiction is found in their claim that David is a knight if and only if Ava is a knave.", "Assume David is a knight. No contradiction is found in their claim that David is a knight and Mason is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 4)), ('and', ('telling-truth', 1), ('telling-truth', 2)), ('<=>', ('telling-truth', 1), ('lying', 4)), ('not', ('telling-truth', 2)), ('telling-truth', 3))", "index": 863}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: David, Ethan, Matthew, Abigail, and Charlotte. \"Matthew is a knave and Ethan is a knave,\" David claimed. \"Matthew is a knight if and only if Matthew is a knave\" - Ethan. In a statement by Matthew: \"If Ethan is a knight then Charlotte is a knave\". Abigail commented, \"Matthew is a knight if and only if Ethan is a knave\". Charlotte commented, \"If David is a knight then Charlotte is a knight\". So who is a knight and who is a knave?", "names": ["David", "Ethan", "Matthew", "Abigail", "Charlotte"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true, true], "solution_text": "David is a knave, Ethan is a knave, Matthew is a knight, Abigail is a knight, and Charlotte is a knight.", "solution_text_format": "(1) David is a knave\n(2) Ethan is a knave\n(3) Matthew is a knight\n(4) Abigail 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 David is a knight. No contradiction is found in their claim that Matthew is a knave and Ethan is a knave.", "Matthew cannot be a knight, because this would contradict the claim of David that Matthew is a knave and Ethan is a knave.", "Assume Matthew is a knave. No contradiction is found in their false claim that If Ethan is a knight then Charlotte is a knave.", "Ethan cannot be a knight, because this would contradict the claim of David that Matthew is a knave and Ethan is a knave.", "Ethan cannot be a knave, because this would contradict the false claim of Matthew that If Ethan is a knight then Charlotte is a knave.", "We have exhausted all possibilities for Ethan and Matthew, so let us go back and reconsider David.", "Assume David is a knave. No contradiction is found in their false claim that Matthew is a knave and Ethan is a knave.", "Assume Matthew is a knight. No contradiction is found in their claim that If Ethan is a knight then Charlotte is a knave.", "Ethan cannot be a knight, because this would contradict the claim of their own that Matthew is a knight if and only if Matthew is a knave.", "Assume Ethan is a knave. No contradiction is found in their false claim that Matthew is a knight if and only if Matthew is a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that If David is a knight then Charlotte is a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that Matthew is a knight if and only if Ethan is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('lying', 1)), ('<=>', ('telling-truth', 2), ('lying', 2)), ('->', ('telling-truth', 1), ('lying', 4)), ('<=>', ('telling-truth', 2), ('lying', 1)), ('->', ('telling-truth', 0), ('telling-truth', 4)))", "index": 864}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Samuel, Logan, Emily, Jacob, and Scarlett. Samuel remarked, \"Scarlett is not a knave\". \"Samuel is a knight if and only if Jacob is a knave,\" Logan mentioned. Emily stated, \"Logan is not a knight\". Jacob was heard saying, \"Scarlett is not a knight\". Scarlett said that Emily is not a knight. So who is a knight and who is a knave?", "names": ["Samuel", "Logan", "Emily", "Jacob", "Scarlett"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false, true], "solution_text": "Samuel is a knight, Logan is a knight, Emily is a knave, Jacob is a knave, and Scarlett is a knight.", "solution_text_format": "(1) Samuel is a knight\n(2) Logan is a knight\n(3) Emily is a knave\n(4) Jacob 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 Samuel is a knight. No contradiction is found in their claim that Scarlett is not a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that Emily is not a knight.", "Emily cannot be a knight, because this would contradict the claim of Scarlett that Emily is not a knight.", "Assume Emily is a knave. No contradiction is found in their false claim that Logan is not a knight.", "Assume Logan is a knight. No contradiction is found in their claim that Samuel is a knight if and only if Jacob is a knave.", "Jacob cannot be a knight, because this would contradict the claim of Logan that Samuel is a knight if and only if Jacob is a knave.", "Assume Jacob is a knave. No contradiction is found in their false claim that Scarlett is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 4)), ('<=>', ('telling-truth', 0), ('lying', 3)), ('not', ('telling-truth', 1)), ('not', ('telling-truth', 4)), ('not', ('telling-truth', 2)))", "index": 865}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Riley, David, Scarlett, Aurora, and Amelia. Riley said that Amelia is a knave if and only if Aurora is a knight. As David put it, \"Aurora is not a knave\". Scarlett remarked, \"Aurora is a knave or Amelia is a knave\". According to Aurora, \"Amelia is a knave\". In Amelia's words: \"Riley is a knave and Scarlett is a knight\". So who is a knight and who is a knave?", "names": ["Riley", "David", "Scarlett", "Aurora", "Amelia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, false], "solution_text": "Riley is a knight, David is a knight, Scarlett is a knight, Aurora is a knight, and Amelia is a knave.", "solution_text_format": "(1) Riley is a knight\n(2) David is a knight\n(3) Scarlett is a knight\n(4) Aurora is a knight\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 Riley is a knight. No contradiction is found in their claim that Amelia is a knave if and only if Aurora is a knight.", "Amelia cannot be a knight, because this would contradict the claim of their own that Riley is a knave and Scarlett is a knight.", "Assume Amelia is a knave. No contradiction is found in their false claim that Riley is a knave and Scarlett is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that Aurora is a knave or Amelia is a knave.", "Assume Aurora is a knight. No contradiction is found in their claim that Amelia is a knave.", "Assume David is a knight. No contradiction is found in their claim that Aurora is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 4), ('telling-truth', 3)), ('not', ('lying', 3)), ('or', ('lying', 3), ('lying', 4)), ('lying', 4), ('and', ('lying', 0), ('telling-truth', 2)))", "index": 866}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Luke, Alexander, Emily, Ethan, and Noah. In Luke's words: \"Alexander is a knave if and only if Noah is a knave\". \"Noah is a knave and Ethan is a knave,\" Alexander claimed. Emily expressed that Noah is a knight if and only if Luke is a knave. \"If Noah is a knight then Emily is a knave\" - Ethan. Noah said, \"Noah is a knight if and only if Ethan is a knave.\" So who is a knight and who is a knave?", "names": ["Luke", "Alexander", "Emily", "Ethan", "Noah"], "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": "Luke is a knave, Alexander is a knave, Emily is a knight, Ethan is a knave, and Noah is a knight.", "solution_text_format": "(1) Luke is a knave\n(2) Alexander is a knave\n(3) Emily is a knight\n(4) Ethan 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 Luke is a knight. No contradiction is found in their claim that Alexander is a knave if and only if Noah is a knave.", "Assume Alexander is a knight. No contradiction is found in their claim that Noah is a knave and Ethan is a knave.", "Noah cannot be a knight, because this would contradict the claim of Alexander that Noah is a knave and Ethan is a knave.", "Noah cannot be a knave, because this would contradict the claim of Luke that Alexander 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 Alexander.", "Assume Alexander is a knave. No contradiction is found in their false claim that Noah is a knave and Ethan is a knave.", "Noah cannot be a knight, because this would contradict the claim of Luke that Alexander 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 Noah is a knight if and only if Ethan is a knave.", "Ethan cannot be a knight, because this would contradict the false claim of Noah that Noah is a knight if and only if Ethan is a knave.", "Ethan cannot be a knave, because this would contradict the false claim of Alexander that Noah is a knave and Ethan is a knave.", "We have exhausted all possibilities for Ethan, Noah, and Alexander, so let us go back and reconsider Luke.", "Assume Luke is a knave. No contradiction is found in their false claim that Alexander is a knave if and only if Noah is a knave.", "Assume Alexander is a knight. No contradiction is found in their claim that Noah is a knave and Ethan is a knave.", "Noah cannot be a knight, because this would contradict the false claim of Luke that Alexander 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 Noah is a knight if and only if Ethan is a knave.", "Ethan cannot be a knight, because this would contradict the claim of Alexander that Noah is a knave and Ethan is a knave.", "Ethan cannot be a knave, because this would contradict the false claim of their own that If Noah is a knight then Emily is a knave.", "We have exhausted all possibilities for Ethan and Noah, so let us go back and reconsider Alexander.", "Assume Alexander is a knave. No contradiction is found in their false claim that Noah is a knave and Ethan is a knave.", "Assume Noah is a knight. No contradiction is found in their claim that Noah is a knight if and only if Ethan is a knave.", "Ethan cannot be a knight, because this would contradict the claim of Noah that Noah is a knight if and only if Ethan is a knave.", "Assume Ethan is a knave. No contradiction is found in their false claim that If Noah is a knight then Emily is a knave.", "Assume Emily is a knight. No contradiction is found in their claim that Noah is a knight if and only if Luke is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('lying', 4)), ('and', ('lying', 4), ('lying', 3)), ('<=>', ('telling-truth', 4), ('lying', 0)), ('->', ('telling-truth', 4), ('lying', 2)), ('<=>', ('telling-truth', 4), ('lying', 3)))", "index": 867}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Emma, Liam, Elizabeth, Sophia, and Amelia. Emma remarked, \"Elizabeth is not a knave\". Liam commented, \"Sophia is not a knave\". Elizabeth noted, \"Liam is a knave and Emma is a knight\". Sophia said, \"Liam is a knight if and only if Sophia is a knight.\" Amelia said, \"Liam is a knave if and only if Elizabeth is a knave.\" So who is a knight and who is a knave?", "names": ["Emma", "Liam", "Elizabeth", "Sophia", "Amelia"], "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": "Emma is a knave, Liam is a knight, Elizabeth is a knave, Sophia is a knight, and Amelia is a knave.", "solution_text_format": "(1) Emma is a knave\n(2) Liam is a knight\n(3) Elizabeth is a knave\n(4) Sophia is a knight\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 Emma 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 Liam is a knave and Emma is a knight.", "Liam cannot be a knight, because this would contradict the claim of Elizabeth that Liam is a knave and Emma is a knight.", "Assume Liam is a knave. No contradiction is found in their false claim that Sophia is not a knave.", "Sophia cannot be a knight, because this would contradict the false claim of Liam that Sophia is not a knave.", "Sophia cannot be a knave, because this would contradict the false claim of their own that Liam is a knight if and only if Sophia is a knight.", "We have exhausted all possibilities for Sophia and Liam, so let us go back and reconsider Elizabeth.", "Elizabeth cannot be a knave, because this would contradict the claim of Emma that Elizabeth is not a knave.", "We have exhausted all possibilities for Elizabeth, so let us go back and reconsider Emma.", "Assume Emma 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 Emma that Elizabeth is not a knave.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Liam is a knave and Emma is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that Sophia is not a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that Liam is a knight if and only if Sophia is a knight.", "Amelia cannot be a knight, because this would contradict the claim of their own that Liam is a knave if and only if Elizabeth is a knave.", "Assume Amelia is a knave. No contradiction is found in their false claim that Liam is a knave if and only if Elizabeth is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 2)), ('not', ('lying', 3)), ('and', ('lying', 1), ('telling-truth', 0)), ('<=>', ('telling-truth', 1), ('telling-truth', 3)), ('<=>', ('lying', 1), ('lying', 2)))", "index": 868}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Sebastian, Avery, Luke, Joseph, and Emily. Sebastian remarked, \"Emily is a knight if and only if Avery is a knave\". According to Avery, \"Emily is a knave and Joseph is a knave\". As Luke put it, \"Avery is a knight if and only if Joseph is a knight\". Joseph was heard saying, \"If Avery is a knave then Avery is a knight\". In Emily's words: \"Sebastian is a knave if and only if Avery is a knight\". So who is a knight and who is a knave?", "names": ["Sebastian", "Avery", "Luke", "Joseph", "Emily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false, true], "solution_text": "Sebastian is a knight, Avery is a knave, Luke is a knight, Joseph is a knave, and Emily is a knight.", "solution_text_format": "(1) Sebastian is a knight\n(2) Avery is a knave\n(3) Luke is a knight\n(4) Joseph is a knave\n(5) 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 Sebastian is a knight. No contradiction is found in their claim that Emily is a knight if and only if Avery is a knave.", "Assume Emily is a knight. No contradiction is found in their claim that Sebastian is a knave if and only if Avery is a knight.", "Avery cannot be a knight, because this would contradict the claim of Sebastian that Emily is a knight if and only if Avery is a knave.", "Assume Avery is a knave. No contradiction is found in their false claim that Emily is a knave and Joseph is a knave.", "Joseph cannot be a knight, because this would contradict the claim of their own that If Avery is a knave then Avery is a knight.", "Assume Joseph is a knave. No contradiction is found in their false claim that If Avery is a knave then Avery is a knight.", "Assume Luke is a knight. No contradiction is found in their claim that Avery is a knight if and only if Joseph is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 4), ('lying', 1)), ('and', ('lying', 4), ('lying', 3)), ('<=>', ('telling-truth', 1), ('telling-truth', 3)), ('->', ('lying', 1), ('telling-truth', 1)), ('<=>', ('lying', 0), ('telling-truth', 1)))", "index": 869}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Sebastian, Jack, Ethan, Scarlett, and Ava. In Sebastian's words: \"Ethan is a knave or Scarlett is a knave\". Jack asserted: \"If Ava is a knave then Ethan is a knight\". In Ethan's words: \"Ava is not a knave\". Scarlett noted, \"Jack is a knight and Ava is a knave\". In Ava's words: \"Sebastian is a knave or Scarlett is a knave\". So who is a knight and who is a knave?", "names": ["Sebastian", "Jack", "Ethan", "Scarlett", "Ava"], "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": "Sebastian is a knight, Jack is a knight, Ethan is a knight, Scarlett is a knave, and Ava is a knight.", "solution_text_format": "(1) Sebastian is a knight\n(2) Jack is a knight\n(3) Ethan is a knight\n(4) Scarlett is a knave\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 Sebastian is a knight. No contradiction is found in their claim that Ethan is a knave or Scarlett is a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that Ava is not a knave.", "Assume Ava is a knight. No contradiction is found in their claim that Sebastian is a knave or Scarlett is a knave.", "Scarlett cannot be a knight, because this would contradict the claim of Sebastian that Ethan is a knave or Scarlett is a knave.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Jack is a knight and Ava is a knave.", "Assume Jack is a knight. No contradiction is found in their claim that If Ava is a knave then Ethan is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 2), ('lying', 3)), ('->', ('lying', 4), ('telling-truth', 2)), ('not', ('lying', 4)), ('and', ('telling-truth', 1), ('lying', 4)), ('or', ('lying', 0), ('lying', 3)))", "index": 870}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Sophia, Lily, Elizabeth, Grace, and Sofia. \"Elizabeth is a knight or Lily is a knight,\" Sophia declared. Lily commented, \"If Grace is a knight then Grace is a knave\". Elizabeth remarked, \"Grace is a knave and Lily is a knave\". \"Elizabeth is a knight and Sofia is a knave,\" Grace mentioned. According to Sofia, \"Lily is not a knight\". So who is a knight and who is a knave?", "names": ["Sophia", "Lily", "Elizabeth", "Grace", "Sofia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false, false], "solution_text": "Sophia is a knight, Lily is a knight, Elizabeth is a knave, Grace is a knave, and Sofia is a knave.", "solution_text_format": "(1) Sophia is a knight\n(2) Lily is a knight\n(3) Elizabeth is a knave\n(4) Grace is a knave\n(5) Sofia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sophia is a knight. No contradiction is found in their claim that Elizabeth is a knight or Lily is a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Grace is a knave and Lily is a knave.", "Grace cannot be a knight, because this would contradict the claim of Elizabeth that Grace is a knave and Lily is a knave.", "Assume Grace is a knave. No contradiction is found in their false claim that Elizabeth is a knight and Sofia is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that Lily is not a knight.", "Lily cannot be a knight, because this would contradict the claim of Elizabeth that Grace is a knave and Lily is a knave.", "Lily cannot be a knave, because this would contradict the false claim of their own that If Grace is a knight then Grace is a knave.", "We have exhausted all possibilities for Lily, so let us go back and reconsider Sofia.", "Sofia cannot be a knave, because this would contradict the false claim of Grace that Elizabeth is a knight and Sofia is a knave.", "We have exhausted all possibilities for Sofia and Grace, so let us go back and reconsider Elizabeth.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Grace is a knave and Lily is a knave.", "Grace cannot be a knight, because this would contradict the claim of their own that Elizabeth is a knight and Sofia is a knave.", "Assume Grace is a knave. No contradiction is found in their false claim that Elizabeth is a knight and Sofia is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that Lily is not a knight.", "Lily cannot be a knight, because this would contradict the claim of Sofia that Lily is not a knight.", "Lily cannot be a knave, because this would contradict the claim of Sophia that Elizabeth is a knight or Lily is a knight.", "We have exhausted all possibilities for Lily, so let us go back and reconsider Sofia.", "Assume Sofia is a knave. No contradiction is found in their false claim that Lily is not a knight.", "Assume Lily is a knight. No contradiction is found in their claim that If Grace is a knight then Grace is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 2), ('telling-truth', 1)), ('->', ('telling-truth', 3), ('lying', 3)), ('and', ('lying', 3), ('lying', 1)), ('and', ('telling-truth', 2), ('lying', 4)), ('not', ('telling-truth', 1)))", "index": 871}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Henry, Emily, Sophia, Charlotte, and Daniel. Henry said that Emily is a knave. Emily expressed that Henry is a knave if and only if Emily is a knight. Sophia told you that If Emily is a knave then Charlotte is a knave. In Charlotte's words: \"Henry is a knight and Henry is a knave\". Daniel remarked, \"Emily is a knave if and only if Charlotte is a knight\". So who is a knight and who is a knave?", "names": ["Henry", "Emily", "Sophia", "Charlotte", "Daniel"], "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": "Henry is a knave, Emily is a knight, Sophia is a knight, Charlotte is a knave, and Daniel is a knight.", "solution_text_format": "(1) Henry is a knave\n(2) Emily is a knight\n(3) Sophia is a knight\n(4) Charlotte is a knave\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 Henry is a knight. No contradiction is found in their claim that Emily is a knave.", "Emily cannot be a knight, because this would contradict the claim of Henry that Emily is a knave.", "Emily cannot be a knave, because this would contradict the false claim of their own that Henry is a knave if and only if Emily is a knight.", "We have exhausted all possibilities for Emily, so let us go back and reconsider Henry.", "Assume Henry is a knave. No contradiction is found in their false claim that Emily is a knave.", "Assume Emily is a knight. No contradiction is found in their claim that Henry is a knave if and only if Emily is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that If Emily is a knave then Charlotte is a knave.", "Charlotte cannot be a knight, because this would contradict the claim of their own that Henry is a knight and Henry is a knave.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Henry is a knight and Henry is a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that Emily is a knave if and only if Charlotte is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('<=>', ('lying', 0), ('telling-truth', 1)), ('->', ('lying', 1), ('lying', 3)), ('and', ('telling-truth', 0), ('lying', 0)), ('<=>', ('lying', 1), ('telling-truth', 3)))", "index": 872}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Avery, Isabella, Scarlett, Harper, and Mia. Avery was heard saying, \"Scarlett is a knave and Harper is a knight\". Isabella noted, \"Harper is a knight or Mia is a knave\". \"Isabella is a knight,\" Scarlett claimed. Harper said that Avery is a knight if and only if Mia is a knight. In Mia's words: \"Harper is a knave if and only if Mia is a knight\". So who is a knight and who is a knave?", "names": ["Avery", "Isabella", "Scarlett", "Harper", "Mia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, false, true], "solution_text": "Avery is a knave, Isabella is a knave, Scarlett is a knave, Harper is a knave, and Mia is a knight.", "solution_text_format": "(1) Avery is a knave\n(2) Isabella is a knave\n(3) Scarlett is a knave\n(4) Harper 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 Avery 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 Avery that Scarlett is a knave and Harper is a knight.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Isabella is a knight.", "Isabella cannot be a knight, because this would contradict the false claim of Scarlett that Isabella is a knight.", "Assume Isabella is a knave. No contradiction is found in their false claim that Harper is a knight or Mia is a knave.", "Harper cannot be a knight, because this would contradict the false claim of Isabella that Harper is a knight or Mia is a knave.", "Harper cannot be a knave, because this would contradict the claim of Avery that Scarlett is a knave and Harper is a knight.", "We have exhausted all possibilities for Harper, Isabella, and Scarlett, so let us go back and reconsider Avery.", "Assume Avery is a knave. No contradiction is found in their false claim that Scarlett is a knave and Harper is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that Isabella is a knight.", "Assume Isabella is a knight. No contradiction is found in their claim that Harper is a knight or Mia is a knave.", "Assume Harper is a knight. No contradiction is found in their claim that Avery is a knight if and only if Mia is a knight.", "Mia cannot be a knight, because this would contradict the claim of Harper that Avery is a knight if and only if Mia is a knight.", "Mia cannot be a knave, because this would contradict the false claim of their own that Harper is a knave if and only if Mia is a knight.", "We have exhausted all possibilities for Mia, so let us go back and reconsider Harper.", "Assume Harper is a knave. No contradiction is found in their false claim that Avery is a knight if and only if Mia is a knight.", "Mia cannot be a knight, because this would contradict the claim of Isabella that Harper is a knight or Mia is a knave.", "Mia cannot be a knave, because this would contradict the false claim of Harper that Avery is a knight if and only if Mia is a knight.", "We have exhausted all possibilities for Mia and Harper, so let us go back and reconsider Isabella.", "Isabella cannot be a knave, because this would contradict the claim of Scarlett that Isabella is a knight.", "We have exhausted all possibilities for Isabella, so let us go back and reconsider Scarlett.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Isabella is a knight.", "Isabella cannot be a knight, because this would contradict the false claim of Scarlett that Isabella is a knight.", "Assume Isabella is a knave. No contradiction is found in their false claim that Harper is a knight or Mia is a knave.", "Harper cannot be a knight, because this would contradict the false claim of Avery that Scarlett is a knave and Harper is a knight.", "Assume Harper is a knave. No contradiction is found in their false claim that Avery is a knight if and only if Mia is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that Harper is a knave if and only if Mia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('telling-truth', 3)), ('or', ('telling-truth', 3), ('lying', 4)), ('telling-truth', 1), ('<=>', ('telling-truth', 0), ('telling-truth', 4)), ('<=>', ('lying', 3), ('telling-truth', 4)))", "index": 873}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Samuel, Luke, Jackson, Michael, and Mia. Samuel stated, \"Michael is a knave\". As Luke put it, \"Samuel is a knight or Mia is a knight\". Jackson was heard saying, \"Luke is a knave if and only if Samuel is a knave\". Michael commented, \"Samuel is a knave and Samuel is a knight\". According to Mia, \"Michael is a knight if and only if Luke is a knight\". So who is a knight and who is a knave?", "names": ["Samuel", "Luke", "Jackson", "Michael", "Mia"], "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": "Samuel is a knight, Luke is a knight, Jackson is a knight, Michael is a knave, and Mia is a knave.", "solution_text_format": "(1) Samuel is a knight\n(2) Luke is a knight\n(3) Jackson is a knight\n(4) Michael 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 Samuel 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 Samuel that Michael is a knave.", "Assume Michael is a knave. No contradiction is found in their false claim that Samuel is a knave and Samuel is a knight.", "Assume Luke is a knight. No contradiction is found in their claim that Samuel is a knight or Mia is a knight.", "Mia cannot be a knight, because this would contradict the claim of their own that Michael is a knight if and only if Luke is a knight.", "Assume Mia is a knave. No contradiction is found in their false claim that Michael is a knight if and only if Luke is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that Luke is a knave if and only if Samuel is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 3), ('or', ('telling-truth', 0), ('telling-truth', 4)), ('<=>', ('lying', 1), ('lying', 0)), ('and', ('lying', 0), ('telling-truth', 0)), ('<=>', ('telling-truth', 3), ('telling-truth', 1)))", "index": 874}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Mia, William, Harper, James, and Evelyn. \"Harper is a knight\" - Mia. In William's words: \"James is a knave or James is a knight\". In Harper's words: \"Evelyn is a knave or Mia is a knave\". James commented, \"Evelyn is a knave\". Evelyn told you that Harper is a knave or Mia is a knave. So who is a knight and who is a knave?", "names": ["Mia", "William", "Harper", "James", "Evelyn"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, false], "solution_text": "Mia is a knight, William is a knight, Harper is a knight, James is a knight, and Evelyn is a knave.", "solution_text_format": "(1) Mia is a knight\n(2) William is a knight\n(3) Harper is a knight\n(4) James is a knight\n(5) 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 Mia is a knight. No contradiction is found in their claim that Harper is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that Evelyn is a knave or Mia is a knave.", "Evelyn cannot be a knight, because this would contradict the claim of Harper that Evelyn is a knave or Mia is a knave.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Harper is a knave or Mia is a knave.", "Assume William is a knight. No contradiction is found in their claim that James is a knave or James is a knight.", "Assume James is a knight. No contradiction is found in their claim that Evelyn is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 2), ('or', ('lying', 3), ('telling-truth', 3)), ('or', ('lying', 4), ('lying', 0)), ('lying', 4), ('or', ('lying', 2), ('lying', 0)))", "index": 875}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Mason, Michael, Luke, Aiden, and Liam. Mason said that Michael is a knave or Liam is a knight. Michael expressed that Liam is a knight if and only if Luke is a knave. Luke told you that Mason is a knight and Michael is a knight. In Aiden's words: \"If Michael is a knave then Mason is a knight\". Liam commented, \"If Aiden is a knight then Mason is a knave\". So who is a knight and who is a knave?", "names": ["Mason", "Michael", "Luke", "Aiden", "Liam"], "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": "Mason is a knight, Michael is a knave, Luke is a knave, Aiden is a knight, and Liam is a knave.", "solution_text_format": "(1) Mason is a knight\n(2) Michael is a knave\n(3) Luke is a knave\n(4) Aiden 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 Mason is a knight. No contradiction is found in their claim that Michael is a knave or Liam is a knight.", "Assume Michael is a knight. No contradiction is found in their claim that Liam is a knight if and only if Luke is a knave.", "Assume Liam is a knight. No contradiction is found in their claim that If Aiden is a knight then Mason is a knave.", "Aiden cannot be a knight, because this would contradict the claim of Liam that If Aiden is a knight then Mason is a knave.", "Aiden cannot be a knave, because this would contradict the false claim of their own that If Michael is a knave then Mason is a knight.", "We have exhausted all possibilities for Aiden, so let us go back and reconsider Liam.", "Liam cannot be a knave, because this would contradict the claim of Mason that Michael is a knave or Liam is a knight.", "We have exhausted all possibilities for Liam, so let us go back and reconsider Michael.", "Assume Michael is a knave. No contradiction is found in their false claim that Liam is a knight if and only if Luke is a knave.", "Assume Liam is a knight. No contradiction is found in their claim that If Aiden is a knight then Mason is a knave.", "Aiden cannot be a knight, because this would contradict the claim of Liam that If Aiden is a knight then Mason is a knave.", "Aiden cannot be a knave, because this would contradict the false claim of their own that If Michael is a knave then Mason is a knight.", "We have exhausted all possibilities for Aiden, so let us go back and reconsider Liam.", "Assume Liam is a knave. No contradiction is found in their false claim that If Aiden is a knight then Mason is a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that If Michael is a knave then Mason is a knight.", "Luke cannot be a knight, because this would contradict the false claim of Michael that Liam is a knight if and only if Luke is a knave.", "Assume Luke is a knave. No contradiction is found in their false claim that Mason is a knight and Michael is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('telling-truth', 4)), ('<=>', ('telling-truth', 4), ('lying', 2)), ('and', ('telling-truth', 0), ('telling-truth', 1)), ('->', ('lying', 1), ('telling-truth', 0)), ('->', ('telling-truth', 3), ('lying', 0)))", "index": 876}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Benjamin, Sofia, Matthew, Emily, and Scarlett. Benjamin was heard saying, \"Emily is a knave or Scarlett is a knight\". In a statement by Sofia: \"Benjamin is a knave or Scarlett is a knave\". \"Sofia is a knight if and only if Scarlett is a knight,\" Matthew declared. In a statement by Emily: \"Matthew is a knight or Matthew is a knave\". Scarlett commented, \"Matthew is a knight and Benjamin is a knight\". So who is a knight and who is a knave?", "names": ["Benjamin", "Sofia", "Matthew", "Emily", "Scarlett"], "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": "Benjamin is a knave, Sofia is a knight, Matthew is a knave, Emily is a knight, and Scarlett is a knave.", "solution_text_format": "(1) Benjamin is a knave\n(2) Sofia is a knight\n(3) Matthew is a knave\n(4) Emily 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 Benjamin is a knight. No contradiction is found in their claim that Emily is a knave or Scarlett is a knight.", "Assume Emily is a knight. No contradiction is found in their claim that Matthew is a knight or Matthew is a knave.", "Assume Matthew is a knight. No contradiction is found in their claim that Sofia is a knight if and only if Scarlett is a knight.", "Assume Sofia is a knight. No contradiction is found in their claim that Benjamin is a knave or Scarlett is a knave.", "Scarlett cannot be a knight, because this would contradict the claim of Sofia that Benjamin is a knave or Scarlett is a knave.", "Scarlett cannot be a knave, because this would contradict the claim of Benjamin that Emily is a knave or Scarlett is a knight.", "We have exhausted all possibilities for Scarlett, so let us go back and reconsider Sofia.", "Assume Sofia is a knave. No contradiction is found in their false claim that Benjamin is a knave or Scarlett is a knave.", "Scarlett cannot be a knight, because this would contradict the claim of Matthew that Sofia is a knight if and only if Scarlett is a knight.", "Scarlett cannot be a knave, because this would contradict the claim of Benjamin that Emily is a knave or Scarlett is a knight.", "We have exhausted all possibilities for Scarlett and Sofia, so let us go back and reconsider Matthew.", "Assume Matthew is a knave. No contradiction is found in their false claim that Sofia is a knight if and only if Scarlett is a knight.", "Assume Sofia is a knight. No contradiction is found in their claim that Benjamin is a knave or Scarlett is a knave.", "Scarlett cannot be a knight, because this would contradict the claim of Sofia that Benjamin is a knave or Scarlett is a knave.", "Scarlett cannot be a knave, because this would contradict the claim of Benjamin that Emily is a knave or Scarlett is a knight.", "We have exhausted all possibilities for Scarlett, so let us go back and reconsider Sofia.", "Assume Sofia is a knave. No contradiction is found in their false claim that Benjamin is a knave or Scarlett is a knave.", "Scarlett cannot be a knight, because this would contradict the claim of their own that Matthew is a knight and Benjamin is a knight.", "Scarlett cannot be a knave, because this would contradict the claim of Benjamin that Emily is a knave or Scarlett is a knight.", "We have exhausted all possibilities for Scarlett, Sofia, and Matthew, so let us go back and reconsider Emily.", "Emily cannot be a knave, because this would contradict the false claim of their own that Matthew is a knight or Matthew is a knave.", "We have exhausted all possibilities for Emily, so let us go back and reconsider Benjamin.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Emily is a knave or Scarlett is a knight.", "Assume Emily is a knight. No contradiction is found in their claim that Matthew is a knight or Matthew is a knave.", "Assume Matthew is a knight. No contradiction is found in their claim that Sofia is a knight if and only if Scarlett is a knight.", "Assume Sofia is a knight. No contradiction is found in their claim that Benjamin is a knave or Scarlett is a knave.", "Scarlett cannot be a knight, because this would contradict the false claim of Benjamin that Emily is a knave or Scarlett is a knight.", "Scarlett cannot be a knave, because this would contradict the claim of Matthew that Sofia is a knight if and only if Scarlett is a knight.", "We have exhausted all possibilities for Scarlett, so let us go back and reconsider Sofia.", "Sofia cannot be a knave, because this would contradict the false claim of their own that Benjamin is a knave or Scarlett is a knave.", "We have exhausted all possibilities for Sofia, so let us go back and reconsider Matthew.", "Assume Matthew is a knave. No contradiction is found in their false claim that Sofia is a knight if and only if Scarlett is a knight.", "Assume Sofia is a knight. No contradiction is found in their claim that Benjamin is a knave or Scarlett is a knave.", "Scarlett cannot be a knight, because this would contradict the false claim of Benjamin that Emily is a knave or Scarlett is a knight.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Matthew is a knight and Benjamin is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 3), ('telling-truth', 4)), ('or', ('lying', 0), ('lying', 4)), ('<=>', ('telling-truth', 1), ('telling-truth', 4)), ('or', ('telling-truth', 2), ('lying', 2)), ('and', ('telling-truth', 2), ('telling-truth', 0)))", "index": 877}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Ava, Matthew, Sebastian, Victoria, and Abigail. Ava told you that Matthew is a knight if and only if Matthew is a knave. Matthew was heard saying, \"If Victoria is a knave then Matthew is a knight\". In Sebastian's words: \"Matthew is a knight and Abigail is a knave\". Victoria stated, \"If Victoria is a knight then Matthew is a knight\". Abigail was heard saying, \"If Victoria is a knight then Ava is a knight\". So who is a knight and who is a knave?", "names": ["Ava", "Matthew", "Sebastian", "Victoria", "Abigail"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, false], "solution_text": "Ava is a knave, Matthew is a knight, Sebastian is a knight, Victoria is a knight, and Abigail is a knave.", "solution_text_format": "(1) Ava is a knave\n(2) Matthew is a knight\n(3) Sebastian is a knight\n(4) Victoria 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": ["Ava cannot be a knight, because this would contradict the claim of their own that Matthew is a knight if and only if Matthew is a knave.", "Assume Ava is a knave. No contradiction is found in their false claim that Matthew is a knight if and only if Matthew is a knave.", "Assume Matthew is a knight. No contradiction is found in their claim that If Victoria is a knave then Matthew is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that If Victoria is a knight then Matthew is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Matthew is a knight and Abigail is a knave.", "Abigail cannot be a knight, because this would contradict the claim of Sebastian that Matthew is a knight and Abigail is a knave.", "Assume Abigail is a knave. No contradiction is found in their false claim that If Victoria is a knight then Ava is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('lying', 1)), ('->', ('lying', 3), ('telling-truth', 1)), ('and', ('telling-truth', 1), ('lying', 4)), ('->', ('telling-truth', 3), ('telling-truth', 1)), ('->', ('telling-truth', 3), ('telling-truth', 0)))", "index": 878}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Oliver, Alexander, Abigail, Matthew, and Emily. Oliver commented, \"If Emily is a knave then Matthew is a knave\". \"Emily is a knight if and only if Emily is a knave,\" Alexander claimed. As Abigail put it, \"Emily is a knight if and only if Alexander is a knave\". Matthew noted, \"If Abigail is a knave then Abigail is a knight\". Emily stated, \"If Alexander is a knight then Matthew is a knight\". So who is a knight and who is a knave?", "names": ["Oliver", "Alexander", "Abigail", "Matthew", "Emily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, true], "solution_text": "Oliver is a knight, Alexander is a knave, Abigail is a knight, Matthew is a knight, and Emily is a knight.", "solution_text_format": "(1) Oliver is a knight\n(2) Alexander is a knave\n(3) Abigail is a knight\n(4) Matthew is a knight\n(5) 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 Oliver is a knight. No contradiction is found in their claim that If Emily is a knave then Matthew is a knave.", "Assume Emily is a knight. No contradiction is found in their claim that If Alexander is a knight then Matthew is a knight.", "Alexander cannot be a knight, because this would contradict the claim of their own that Emily is a knight if and only if Emily is a knave.", "Assume Alexander is a knave. No contradiction is found in their false claim that Emily is a knight if and only if Emily is a knave.", "Assume Matthew is a knight. No contradiction is found in their claim that If Abigail is a knave then Abigail is a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that Emily is a knight if and only if Alexander is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 4), ('lying', 3)), ('<=>', ('telling-truth', 4), ('lying', 4)), ('<=>', ('telling-truth', 4), ('lying', 1)), ('->', ('lying', 2), ('telling-truth', 2)), ('->', ('telling-truth', 1), ('telling-truth', 3)))", "index": 879}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: William, Owen, Charlotte, Aurora, and Victoria. According to William, \"Owen is a knave or William is a knight\". Owen said that Owen is a knight if and only if William is a knave. In a statement by Charlotte: \"Aurora is a knight or Aurora is a knave\". Aurora said, \"Owen is a knight and Victoria is a knight.\" In a statement by Victoria: \"Victoria is a knight and Owen is a knave\". So who is a knight and who is a knave?", "names": ["William", "Owen", "Charlotte", "Aurora", "Victoria"], "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": "William is a knave, Owen is a knight, Charlotte is a knight, Aurora is a knave, and Victoria is a knave.", "solution_text_format": "(1) William is a knave\n(2) Owen is a knight\n(3) Charlotte is a knight\n(4) Aurora is a knave\n(5) Victoria is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume William is a knight. No contradiction is found in their claim that Owen is a knave or William is a knight.", "Owen cannot be a knight, because this would contradict the claim of their own that Owen is a knight if and only if William is a knave.", "Owen cannot be a knave, because this would contradict the false claim of their own that Owen is a knight if and only if William is a knave.", "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 or William is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that Owen is a knight if and only if William is a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that Aurora is a knight or Aurora is a knave.", "Assume Aurora is a knight. No contradiction is found in their claim that Owen is a knight and Victoria is a knight.", "Victoria cannot be a knight, because this would contradict the claim of their own that Victoria is a knight and Owen is a knave.", "Victoria cannot be a knave, because this would contradict the claim of Aurora that Owen is a knight and Victoria is a knight.", "We have exhausted all possibilities for Victoria, so let us go back and reconsider Aurora.", "Assume Aurora is a knave. No contradiction is found in their false claim that Owen is a knight and Victoria is a knight.", "Victoria cannot be a knight, because this would contradict the false claim of Aurora that Owen is a knight and Victoria is a knight.", "Assume Victoria is a knave. No contradiction is found in their false claim that Victoria is a knight and Owen is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('telling-truth', 0)), ('<=>', ('telling-truth', 1), ('lying', 0)), ('or', ('telling-truth', 3), ('lying', 3)), ('and', ('telling-truth', 1), ('telling-truth', 4)), ('and', ('telling-truth', 4), ('lying', 1)))", "index": 880}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Michael, Victoria, Elizabeth, Abigail, and William. Michael said that William is a knight and Elizabeth is a knave. In a statement by Victoria: \"William is a knight if and only if Michael is a knave\". \"Michael is not a knave\" - Elizabeth. Abigail noted, \"Michael is not a knave\". William said that Michael is a knight if and only if Abigail is a knave. So who is a knight and who is a knave?", "names": ["Michael", "Victoria", "Elizabeth", "Abigail", "William"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, false, false], "solution_text": "Michael is a knave, Victoria is a knave, Elizabeth is a knave, Abigail is a knave, and William is a knave.", "solution_text_format": "(1) Michael is a knave\n(2) Victoria is a knave\n(3) Elizabeth is a knave\n(4) Abigail is a knave\n(5) William is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Michael is a knight. No contradiction is found in their claim that William is a knight and Elizabeth is a knave.", "Assume William is a knight. No contradiction is found in their claim that Michael is a knight if and only if Abigail is a knave.", "Abigail cannot be a knight, because this would contradict the claim of William that Michael is a knight if and only if Abigail is a knave.", "Abigail cannot be a knave, because this would contradict the false claim of their own that Michael is not a knave.", "We have exhausted all possibilities for Abigail, so let us go back and reconsider William.", "William cannot be a knave, because this would contradict the claim of Michael that William is a knight and Elizabeth is a knave.", "We have exhausted all possibilities for William, so let us go back and reconsider Michael.", "Assume Michael is a knave. No contradiction is found in their false claim that William is a knight and Elizabeth is a knave.", "Assume William is a knight. No contradiction is found in their claim that Michael is a knight if and only if Abigail is a knave.", "Abigail cannot be a knight, because this would contradict the claim of their own that Michael is not a knave.", "Abigail cannot be a knave, because this would contradict the claim of William that Michael is a knight if and only if Abigail is a knave.", "We have exhausted all possibilities for Abigail, so let us go back and reconsider William.", "Assume William is a knave. No contradiction is found in their false claim that Michael is a knight if and only if Abigail is a knave.", "Abigail cannot be a knight, because this would contradict the claim of their own that Michael is not a knave.", "Assume Abigail is a knave. No contradiction is found in their false claim that Michael is not a knave.", "Elizabeth cannot be a knight, because this would contradict the claim of their own that Michael is not a knave.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Michael is not a knave.", "Victoria cannot be a knight, because this would contradict the claim of their own that William is a knight if and only if Michael is a knave.", "Assume Victoria is a knave. No contradiction is found in their false claim that William is a knight if and only if Michael is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 4), ('lying', 2)), ('<=>', ('telling-truth', 4), ('lying', 0)), ('not', ('lying', 0)), ('not', ('lying', 0)), ('<=>', ('telling-truth', 0), ('lying', 3)))", "index": 881}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Ethan, Noah, David, Samuel, and Emma. Ethan said that David is a knight. \"Samuel is a knave and Emma is a knave,\" Noah mentioned. David asserted: \"Emma is not a knave\". According to Samuel, \"David is not a knight\". Emma was heard saying, \"If Samuel is a knave then Noah is a knave\". So who is a knight and who is a knave?", "names": ["Ethan", "Noah", "David", "Samuel", "Emma"], "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": "Ethan is a knight, Noah is a knave, David is a knight, Samuel is a knave, and Emma is a knight.", "solution_text_format": "(1) Ethan is a knight\n(2) Noah is a knave\n(3) David is a knight\n(4) Samuel is a knave\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 Ethan is a knight. No contradiction is found in their claim that David is a knight.", "Assume David is a knight. No contradiction is found in their claim that Emma is not a knave.", "Assume Emma is a knight. No contradiction is found in their claim that If Samuel is a knave then Noah is a knave.", "Samuel cannot be a knight, because this would contradict the claim of their own that David is not a knight.", "Assume Samuel is a knave. No contradiction is found in their false claim that David is not a knight.", "Noah cannot be a knight, because this would contradict the claim of their own that Samuel is a knave and Emma is a knave.", "Assume Noah is a knave. No contradiction is found in their false claim that Samuel is a knave and Emma is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 2), ('and', ('lying', 3), ('lying', 4)), ('not', ('lying', 4)), ('not', ('telling-truth', 2)), ('->', ('lying', 3), ('lying', 1)))", "index": 882}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Matthew, Avery, Harper, Mason, and Sofia. Matthew noted, \"If Avery is a knave then Sofia is a knave\". Avery said, \"If Matthew is a knight then Sofia is a knight.\" Harper said that Avery is not a knave. \"Sofia is a knight and Matthew is a knave,\" Mason claimed. Sofia remarked, \"Avery is a knave or Avery is a knight\". So who is a knight and who is a knave?", "names": ["Matthew", "Avery", "Harper", "Mason", "Sofia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false, true], "solution_text": "Matthew is a knight, Avery is a knight, Harper is a knight, Mason is a knave, and Sofia is a knight.", "solution_text_format": "(1) Matthew is a knight\n(2) Avery is a knight\n(3) Harper is a knight\n(4) Mason 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 Matthew is a knight. No contradiction is found in their claim that If Avery is a knave then Sofia is a knave.", "Assume Avery is a knight. No contradiction is found in their claim that If Matthew is a knight then Sofia is a knight.", "Assume Sofia is a knight. No contradiction is found in their claim that Avery is a knave or Avery is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that Avery is not a knave.", "Mason cannot be a knight, because this would contradict the claim of their own that Sofia is a knight and Matthew is a knave.", "Assume Mason is a knave. No contradiction is found in their false claim that Sofia is a knight and Matthew is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 1), ('lying', 4)), ('->', ('telling-truth', 0), ('telling-truth', 4)), ('not', ('lying', 1)), ('and', ('telling-truth', 4), ('lying', 0)), ('or', ('lying', 1), ('telling-truth', 1)))", "index": 883}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Lucas, Abigail, Isabella, Jack, and Scarlett. \"Abigail is a knight if and only if Jack is a knight,\" Lucas mentioned. \"Jack is a knave,\" Abigail mentioned. In Isabella's words: \"Lucas is a knight or Abigail is a knave\". Jack said that Scarlett is a knave if and only if Scarlett is a knight. \"Isabella is a knave and Isabella is a knight,\" Scarlett claimed. So who is a knight and who is a knave?", "names": ["Lucas", "Abigail", "Isabella", "Jack", "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": "Lucas is a knave, Abigail is a knight, Isabella is a knave, Jack is a knave, and Scarlett is a knave.", "solution_text_format": "(1) Lucas is a knave\n(2) Abigail is a knight\n(3) Isabella is a knave\n(4) Jack 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 Lucas is a knight. No contradiction is found in their claim that Abigail is a knight if and only if Jack is a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that Jack is a knave.", "Jack cannot be a knight, because this would contradict the claim of Abigail that Jack is a knave.", "Jack cannot be a knave, because this would contradict the claim of Lucas that Abigail is a knight if and only if Jack is a knight.", "We have exhausted all possibilities for Jack, so let us go back and reconsider Abigail.", "Assume Abigail is a knave. No contradiction is found in their false claim that Jack is a knave.", "Jack cannot be a knight, because this would contradict the claim of Lucas that Abigail is a knight if and only if Jack is a knight.", "Jack cannot be a knave, because this would contradict the false claim of Abigail that Jack is a knave.", "We have exhausted all possibilities for Jack and Abigail, so let us go back and reconsider Lucas.", "Assume Lucas is a knave. No contradiction is found in their false claim that Abigail is a knight if and only if Jack is a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that Jack is a knave.", "Jack cannot be a knight, because this would contradict the false claim of Lucas that Abigail is a knight if and only if Jack is a knight.", "Assume Jack is a knave. No contradiction is found in their false claim that Scarlett is a knave if and only if Scarlett is a knight.", "Scarlett cannot be a knight, because this would contradict the claim of their own that Isabella is a knave and Isabella is a knight.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Isabella is a knave and Isabella is a knight.", "Isabella cannot be a knight, because this would contradict the claim of their own that Lucas is a knight or Abigail is a knave.", "Assume Isabella is a knave. No contradiction is found in their false claim that Lucas is a knight or Abigail is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('telling-truth', 3)), ('lying', 3), ('or', ('telling-truth', 0), ('lying', 1)), ('<=>', ('lying', 4), ('telling-truth', 4)), ('and', ('lying', 2), ('telling-truth', 2)))", "index": 884}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Harper, Scarlett, Charlotte, Ethan, and Matthew. Harper said, \"Charlotte is a knave if and only if Matthew is a knave.\" Scarlett told you that Matthew is a knight if and only if Ethan is a knight. Charlotte stated, \"Scarlett is a knight\". Ethan expressed that Matthew is not a knight. \"Scarlett is a knave or Harper is a knave,\" Matthew mentioned. So who is a knight and who is a knave?", "names": ["Harper", "Scarlett", "Charlotte", "Ethan", "Matthew"], "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": "Harper is a knave, Scarlett is a knave, Charlotte is a knave, Ethan is a knave, and Matthew is a knight.", "solution_text_format": "(1) Harper is a knave\n(2) Scarlett is a knave\n(3) Charlotte is a knave\n(4) Ethan is a knave\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 Harper is a knight. No contradiction is found in their claim that Charlotte is a knave if and only if Matthew 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 Matthew is a knight if and only if Ethan is a knight.", "Matthew cannot be a knight, because this would contradict the claim of their own that Scarlett is a knave or Harper is a knave.", "Matthew cannot be a knave, because this would contradict the claim of Harper that Charlotte is a knave if and only if Matthew is a knave.", "We have exhausted all possibilities for Matthew, so let us go back and reconsider Scarlett.", "Scarlett cannot be a knave, because this would contradict the claim of Charlotte that Scarlett is a knight.", "We have exhausted all possibilities for Scarlett, so let us go back and reconsider Charlotte.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Scarlett is 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 Matthew is a knight if and only if Ethan is a knight.", "Matthew cannot be a knight, because this would contradict the claim of Harper that Charlotte is a knave if and only if Matthew is a knave.", "Matthew cannot be a knave, because this would contradict the false claim of their own that Scarlett is a knave or Harper is a knave.", "We have exhausted all possibilities for Matthew, Scarlett, and Charlotte, so let us go back and reconsider Harper.", "Assume Harper is a knave. No contradiction is found in their false claim that Charlotte is a knave if and only if Matthew 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 Matthew is a knight if and only if Ethan is a knight.", "Matthew cannot be a knight, because this would contradict the false claim of Harper that Charlotte is a knave if and only if Matthew is a knave.", "Matthew cannot be a knave, because this would contradict the false claim of their own that Scarlett is a knave or Harper is a knave.", "We have exhausted all possibilities for Matthew, so let us go back and reconsider Scarlett.", "Scarlett cannot be a knave, because this would contradict the claim of Charlotte that Scarlett is a knight.", "We have exhausted all possibilities for Scarlett, so let us go back and reconsider Charlotte.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Scarlett is 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 Matthew is a knight if and only if Ethan is a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that Scarlett is a knave or Harper is a knave.", "Ethan cannot be a knight, because this would contradict the false claim of Scarlett that Matthew is a knight if and only if Ethan is a knight.", "Assume Ethan is a knave. No contradiction is found in their false claim that Matthew is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 2), ('lying', 4)), ('<=>', ('telling-truth', 4), ('telling-truth', 3)), ('telling-truth', 1), ('not', ('telling-truth', 4)), ('or', ('lying', 1), ('lying', 0)))", "index": 885}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Joseph, Olivia, Chloe, James, and Jacob. Joseph stated, \"Olivia is a knight and Joseph is a knight\". Olivia remarked, \"Jacob is a knight or Joseph is a knave\". \"James is a knave,\" Chloe claimed. James said, \"Jacob is not a knave.\" \"Olivia is a knave\" - Jacob. So who is a knight and who is a knave?", "names": ["Joseph", "Olivia", "Chloe", "James", "Jacob"], "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": "Joseph is a knave, Olivia is a knight, Chloe is a knight, James is a knave, and Jacob is a knave.", "solution_text_format": "(1) Joseph is a knave\n(2) Olivia is a knight\n(3) Chloe is a knight\n(4) James is a knave\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 Joseph is a knight. No contradiction is found in their claim that Olivia is a knight and Joseph is a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that Jacob is a knight or Joseph is a knave.", "Jacob cannot be a knight, because this would contradict the claim of their own that Olivia is a knave.", "Jacob cannot be a knave, because this would contradict the claim of Olivia that Jacob is a knight or Joseph is a knave.", "We have exhausted all possibilities for Jacob, so let us go back and reconsider Olivia.", "Olivia cannot be a knave, because this would contradict the claim of Joseph that Olivia is a knight and Joseph is a knight.", "We have exhausted all possibilities for Olivia, so let us go back and reconsider Joseph.", "Assume Joseph is a knave. No contradiction is found in their false claim that Olivia is a knight and Joseph is a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that Jacob is a knight or Joseph is a knave.", "Jacob cannot be a knight, because this would contradict the claim of their own that Olivia is a knave.", "Assume Jacob is a knave. No contradiction is found in their false claim that Olivia is a knave.", "Assume Chloe 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 Chloe that James is a knave.", "Assume James is a knave. No contradiction is found in their false claim that Jacob is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('telling-truth', 0)), ('or', ('telling-truth', 4), ('lying', 0)), ('lying', 3), ('not', ('lying', 4)), ('lying', 1))", "index": 886}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Mia, Penelope, James, Sofia, and Emily. Mia stated, \"If James is a knight then Sofia is a knave\". Penelope said, \"Penelope is a knight or Mia is a knight.\" \"James is a knight or Sofia is a knight,\" James declared. According to Sofia, \"James is not a knight\". As Emily put it, \"If James is a knight then James is a knave\". So who is a knight and who is a knave?", "names": ["Mia", "Penelope", "James", "Sofia", "Emily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false, false], "solution_text": "Mia is a knight, Penelope is a knight, James is a knight, Sofia is a knave, and Emily is a knave.", "solution_text_format": "(1) Mia is a knight\n(2) Penelope is a knight\n(3) James is a knight\n(4) Sofia is a knave\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 If James is a knight then Sofia is a knave.", "Assume James is a knight. No contradiction is found in their claim that James is a knight or Sofia is a knight.", "Sofia cannot be a knight, because this would contradict the claim of Mia that If James is a knight then Sofia is a knave.", "Assume Sofia is a knave. No contradiction is found in their false claim that James is not a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that Penelope is a knight or Mia is a knight.", "Emily cannot be a knight, because this would contradict the claim of their own that If James is a knight then James is a knave.", "Assume Emily is a knave. No contradiction is found in their false claim that If James is a knight then James is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 2), ('lying', 3)), ('or', ('telling-truth', 1), ('telling-truth', 0)), ('or', ('telling-truth', 2), ('telling-truth', 3)), ('not', ('telling-truth', 2)), ('->', ('telling-truth', 2), ('lying', 2)))", "index": 887}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Logan, Daniel, Penelope, Sebastian, and Sophia. Logan said that If Sophia is a knight then Sophia is a knave. In Daniel's words: \"Penelope is a knave if and only if Penelope is a knight\". Penelope was heard saying, \"Sebastian is a knight if and only if Daniel is a knight\". \"Sebastian is a knight or Penelope is a knight,\" Sebastian declared. In a statement by Sophia: \"Daniel is a knave or Logan is a knight\". So who is a knight and who is a knave?", "names": ["Logan", "Daniel", "Penelope", "Sebastian", "Sophia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true, true], "solution_text": "Logan is a knave, Daniel is a knave, Penelope is a knave, Sebastian is a knight, and Sophia is a knight.", "solution_text_format": "(1) Logan is a knave\n(2) Daniel is a knave\n(3) Penelope is a knave\n(4) Sebastian is a knight\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 Logan is a knight. No contradiction is found in their claim that If Sophia is a knight then Sophia is a knave.", "Sophia cannot be a knight, because this would contradict the claim of Logan that If Sophia is a knight then Sophia is a knave.", "Sophia cannot be a knave, because this would contradict the false claim of their own that Daniel is a knave or Logan is a knight.", "We have exhausted all possibilities for Sophia, so let us go back and reconsider Logan.", "Assume Logan is a knave. No contradiction is found in their false claim that If Sophia is a knight then Sophia is a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that Daniel is a knave or Logan is a knight.", "Daniel 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 Daniel is a knave. No contradiction is found in their false claim that Penelope is a knave if and only if Penelope is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that Sebastian is a knight if and only if Daniel is a knight.", "Sebastian cannot be a knight, because this would contradict the claim of Penelope that Sebastian is a knight if and only if Daniel is a knight.", "Sebastian cannot be a knave, because this would contradict the false claim of their own that Sebastian is a knight or Penelope is a knight.", "We have exhausted all possibilities for Sebastian, so let us go back and reconsider Penelope.", "Assume Penelope is a knave. No contradiction is found in their false claim that Sebastian is a knight if and only if Daniel is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Sebastian is a knight or Penelope is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 4), ('lying', 4)), ('<=>', ('lying', 2), ('telling-truth', 2)), ('<=>', ('telling-truth', 3), ('telling-truth', 1)), ('or', ('telling-truth', 3), ('telling-truth', 2)), ('or', ('lying', 1), ('telling-truth', 0)))", "index": 888}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aria, James, Samuel, Amelia, and Jacob. Aria was heard saying, \"Samuel is a knight and Aria is a knight\". James said that Jacob is a knight if and only if Aria is a knave. As Samuel put it, \"Aria is a knave and Aria is a knight\". Amelia was heard saying, \"Jacob is a knave if and only if Samuel is a knight\". In a statement by Jacob: \"Samuel is not a knight\". So who is a knight and who is a knave?", "names": ["Aria", "James", "Samuel", "Amelia", "Jacob"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true, true], "solution_text": "Aria is a knave, James is a knight, Samuel is a knave, Amelia is a knight, and Jacob is a knight.", "solution_text_format": "(1) Aria is a knave\n(2) James is a knight\n(3) Samuel is a knave\n(4) Amelia 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 Aria is a knight. No contradiction is found in their claim that Samuel is a knight and Aria is a knight.", "Samuel cannot be a knight, because this would contradict the claim of their own that Aria is a knave and Aria is a knight.", "Samuel cannot be a knave, because this would contradict the claim of Aria that Samuel is a knight and Aria is a knight.", "We have exhausted all possibilities for Samuel, so let us go back and reconsider Aria.", "Assume Aria is a knave. No contradiction is found in their false claim that Samuel is a knight and Aria is a knight.", "Samuel cannot be a knight, because this would contradict the claim of their own that Aria is a knave and Aria is a knight.", "Assume Samuel is a knave. No contradiction is found in their false claim that Aria is a knave and Aria is a knight.", "Assume James is a knight. No contradiction is found in their claim that Jacob is a knight if and only if Aria is a knave.", "Assume Jacob is a knight. No contradiction is found in their claim that Samuel is not a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that Jacob is a knave if and only if Samuel is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 2), ('telling-truth', 0)), ('<=>', ('telling-truth', 4), ('lying', 0)), ('and', ('lying', 0), ('telling-truth', 0)), ('<=>', ('lying', 4), ('telling-truth', 2)), ('not', ('telling-truth', 2)))", "index": 889}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Ella, Amelia, Alexander, Liam, and Chloe. As Ella put it, \"Chloe is a knave\". \"If Alexander is a knave then Ella is a knight,\" Amelia claimed. Alexander noted, \"Liam is not a knight\". \"Ella is a knight and Chloe is a knight\" - Liam. Chloe said that Amelia is not a knight. So who is a knight and who is a knave?", "names": ["Ella", "Amelia", "Alexander", "Liam", "Chloe"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false, false], "solution_text": "Ella is a knight, Amelia is a knight, Alexander is a knight, Liam is a knave, and Chloe is a knave.", "solution_text_format": "(1) Ella is a knight\n(2) Amelia is a knight\n(3) Alexander is a knight\n(4) Liam is a knave\n(5) Chloe is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ella is a knight. No contradiction is found in their claim that Chloe is a knave.", "Chloe cannot be a knight, because this would contradict the claim of Ella that Chloe is a knave.", "Assume Chloe is a knave. No contradiction is found in their false claim that Amelia is not a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that If Alexander is a knave then Ella is a knight.", "Assume Alexander 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 Alexander that Liam is not a knight.", "Assume Liam is a knave. No contradiction is found in their false claim that Ella is a knight and Chloe is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 4), ('->', ('lying', 2), ('telling-truth', 0)), ('not', ('telling-truth', 3)), ('and', ('telling-truth', 0), ('telling-truth', 4)), ('not', ('telling-truth', 1)))", "index": 890}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Evelyn, Joseph, Logan, Aiden, and Owen. \"Owen is a knave if and only if Joseph is a knave,\" Evelyn mentioned. Joseph expressed that If Owen is a knave then Logan is a knave. Logan said that Logan is a knight if and only if Joseph is a knave. Aiden said, \"If Joseph is a knave then Owen is a knave.\" \"Evelyn is a knave and Evelyn is a knight\" - Owen. So who is a knight and who is a knave?", "names": ["Evelyn", "Joseph", "Logan", "Aiden", "Owen"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, false], "solution_text": "Evelyn is a knight, Joseph is a knave, Logan is a knight, Aiden is a knight, and Owen is a knave.", "solution_text_format": "(1) Evelyn is a knight\n(2) Joseph is a knave\n(3) Logan is a knight\n(4) Aiden is a knight\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 Evelyn is a knight. No contradiction is found in their claim that Owen is a knave if and only if Joseph is a knave.", "Owen cannot be a knight, because this would contradict the claim of their own that Evelyn is a knave and Evelyn is a knight.", "Assume Owen is a knave. No contradiction is found in their false claim that Evelyn is a knave and Evelyn is a knight.", "Joseph cannot be a knight, because this would contradict the claim of Evelyn that Owen 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 Owen is a knave then Logan is a knave.", "Assume Logan is a knight. No contradiction is found in their claim that Logan is a knight if and only if Joseph is a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that If Joseph is a knave then Owen is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 4), ('lying', 1)), ('->', ('lying', 4), ('lying', 2)), ('<=>', ('telling-truth', 2), ('lying', 1)), ('->', ('lying', 1), ('lying', 4)), ('and', ('lying', 0), ('telling-truth', 0)))", "index": 891}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Jack, Lucas, Riley, Benjamin, and Alexander. Jack was heard saying, \"If Alexander is a knight then Riley is a knave\". Lucas was heard saying, \"Alexander is a knight and Riley is a knight\". In Riley's words: \"Jack is a knave or Jack is a knight\". Benjamin commented, \"If Jack is a knave then Jack is a knight\". Alexander remarked, \"Alexander is a knight if and only if Jack is a knight\". So who is a knight and who is a knave?", "names": ["Jack", "Lucas", "Riley", "Benjamin", "Alexander"], "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": "Jack is a knight, Lucas is a knave, Riley is a knight, Benjamin is a knight, and Alexander is a knave.", "solution_text_format": "(1) Jack is a knight\n(2) Lucas is a knave\n(3) Riley is a knight\n(4) Benjamin is a knight\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 Jack is a knight. No contradiction is found in their claim that If Alexander is a knight then Riley is a knave.", "Assume Alexander is a knight. No contradiction is found in their claim that Alexander is a knight if and only if Jack is a knight.", "Riley cannot be a knight, because this would contradict the claim of Jack that If Alexander is a knight then Riley is a knave.", "Riley cannot be a knave, because this would contradict the false claim of their own that Jack is a knave or Jack is a knight.", "We have exhausted all possibilities for Riley, so let us go back and reconsider Alexander.", "Assume Alexander is a knave. No contradiction is found in their false claim that Alexander is a knight if and only if Jack is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that Jack is a knave or Jack is a knight.", "Lucas cannot be a knight, because this would contradict the claim of their own that Alexander is a knight and Riley is a knight.", "Assume Lucas is a knave. No contradiction is found in their false claim that Alexander is a knight and Riley is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that If Jack is a knave then Jack is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 4), ('lying', 2)), ('and', ('telling-truth', 4), ('telling-truth', 2)), ('or', ('lying', 0), ('telling-truth', 0)), ('->', ('lying', 0), ('telling-truth', 0)), ('<=>', ('telling-truth', 4), ('telling-truth', 0)))", "index": 892}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Elizabeth, Penelope, David, Aria, and Scarlett. Elizabeth asserted: \"Penelope is a knight and Scarlett is a knave\". Penelope asserted: \"Elizabeth is not a knight\". David stated, \"Scarlett is a knight if and only if Scarlett is a knave\". Aria remarked, \"Scarlett is a knight or Aria is a knight\". According to Scarlett, \"If Elizabeth is a knight then David is a knave\". So who is a knight and who is a knave?", "names": ["Elizabeth", "Penelope", "David", "Aria", "Scarlett"], "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": "Elizabeth is a knave, Penelope is a knight, David is a knave, Aria is a knight, and Scarlett is a knight.", "solution_text_format": "(1) Elizabeth is a knave\n(2) Penelope is a knight\n(3) David is a knave\n(4) Aria 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 Elizabeth is a knight. No contradiction is found in their claim that Penelope is a knight and Scarlett is a knave.", "Penelope cannot be a knight, because this would contradict the claim of their own that Elizabeth is not a knight.", "Penelope cannot be a knave, because this would contradict the claim of Elizabeth that Penelope is a knight and Scarlett is a knave.", "We have exhausted all possibilities for Penelope, so let us go back and reconsider Elizabeth.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Penelope is a knight and Scarlett is a knave.", "Assume Penelope is a knight. No contradiction is found in their claim that Elizabeth is not a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that If Elizabeth is a knight then David is a knave.", "David cannot be a knight, because this would contradict the claim of their own that Scarlett is a knight if and only if Scarlett is a knave.", "Assume David is a knave. No contradiction is found in their false claim that Scarlett is a knight if and only if Scarlett is a knave.", "Assume Aria is a knight. No contradiction is found in their claim that Scarlett is a knight or Aria is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('lying', 4)), ('not', ('telling-truth', 0)), ('<=>', ('telling-truth', 4), ('lying', 4)), ('or', ('telling-truth', 4), ('telling-truth', 3)), ('->', ('telling-truth', 0), ('lying', 2)))", "index": 893}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Ethan, Scarlett, Chloe, Michael, and Daniel. According to Ethan, \"If Daniel is a knave then Daniel is a knight\". In a statement by Scarlett: \"Ethan is a knave if and only if Daniel is a knight\". \"Michael is a knave\" - Chloe. In a statement by Michael: \"Daniel is a knave if and only if Chloe is a knight\". \"Chloe is not a knave,\" Daniel declared. So who is a knight and who is a knave?", "names": ["Ethan", "Scarlett", "Chloe", "Michael", "Daniel"], "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": "Ethan is a knight, Scarlett is a knave, Chloe is a knight, Michael is a knave, and Daniel is a knight.", "solution_text_format": "(1) Ethan is a knight\n(2) Scarlett is a knave\n(3) Chloe is a knight\n(4) Michael is a knave\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 Ethan is a knight. No contradiction is found in their claim that If Daniel is a knave then Daniel is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that Chloe is not a knave.", "Assume Chloe 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 Chloe that Michael is a knave.", "Assume Michael is a knave. No contradiction is found in their false claim that Daniel is a knave if and only if Chloe is a knight.", "Scarlett cannot be a knight, because this would contradict the claim of their own that Ethan is a knave if and only if Daniel is a knight.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Ethan is a knave if and only if Daniel is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 4), ('telling-truth', 4)), ('<=>', ('lying', 0), ('telling-truth', 4)), ('lying', 3), ('<=>', ('lying', 4), ('telling-truth', 2)), ('not', ('lying', 2)))", "index": 894}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Samuel, Victoria, Jacob, Charlotte, and Sofia. Samuel noted, \"Victoria is not a knight\". Victoria remarked, \"Charlotte is a knave or Jacob is a knave\". \"Sofia is a knight,\" Jacob claimed. \"Samuel is a knight if and only if Sofia is a knight,\" Charlotte mentioned. Sofia told you that Samuel is a knight if and only if Samuel is a knave. So who is a knight and who is a knave?", "names": ["Samuel", "Victoria", "Jacob", "Charlotte", "Sofia"], "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": "Samuel is a knave, Victoria is a knight, Jacob is a knave, Charlotte is a knight, and Sofia is a knave.", "solution_text_format": "(1) Samuel is a knave\n(2) Victoria is a knight\n(3) Jacob is a knave\n(4) Charlotte is a knight\n(5) Sofia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Samuel is a knight. No contradiction is found in their claim that Victoria is not a knight.", "Victoria cannot be a knight, because this would contradict the claim of Samuel that Victoria is not a knight.", "Assume Victoria is a knave. No contradiction is found in their false claim that Charlotte is a knave or Jacob is a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that Samuel is a knight if and only if Sofia is a knight.", "Sofia cannot be a knight, because this would contradict the claim of their own that Samuel is a knight if and only if Samuel is a knave.", "Sofia cannot be a knave, because this would contradict the claim of Charlotte that Samuel is a knight if and only if Sofia is a knight.", "We have exhausted all possibilities for Sofia, so let us go back and reconsider Charlotte.", "Charlotte cannot be a knave, because this would contradict the false claim of Victoria that Charlotte is a knave or Jacob is a knave.", "We have exhausted all possibilities for Charlotte and Victoria, so let us go back and reconsider Samuel.", "Assume Samuel is a knave. No contradiction is found in their false claim that Victoria is not a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that Charlotte is a knave or Jacob is a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that Samuel is a knight if and only if Sofia is a knight.", "Sofia cannot be a knight, because this would contradict the claim of Charlotte that Samuel is a knight if and only if Sofia is a knight.", "Assume Sofia is a knave. No contradiction is found in their false claim that Samuel is a knight if and only if Samuel is a knave.", "Jacob cannot be a knight, because this would contradict the claim of Victoria that Charlotte is a knave or Jacob is a knave.", "Assume Jacob is a knave. No contradiction is found in their false claim that Sofia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('or', ('lying', 3), ('lying', 2)), ('telling-truth', 4), ('<=>', ('telling-truth', 0), ('telling-truth', 4)), ('<=>', ('telling-truth', 0), ('lying', 0)))", "index": 895}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Harper, Grace, Lily, Isabella, and Liam. Harper commented, \"If Isabella is a knave then Grace is a knight\". \"If Grace is a knight then Liam is a knight\" - Grace. \"Isabella is a knight or Liam is a knave,\" Lily declared. Isabella remarked, \"Grace is not a knight\". Liam noted, \"If Grace is a knave then Lily is a knight\". So who is a knight and who is a knave?", "names": ["Harper", "Grace", "Lily", "Isabella", "Liam"], "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": "Harper is a knight, Grace is a knight, Lily is a knave, Isabella is a knave, and Liam is a knight.", "solution_text_format": "(1) Harper is a knight\n(2) Grace is a knight\n(3) Lily is a knave\n(4) Isabella 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 Harper is a knight. No contradiction is found in their claim that If Isabella is a knave then Grace is a knight.", "Assume Isabella 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 Isabella that Grace is not a knight.", "Grace cannot be a knave, because this would contradict the false claim of their own that If Grace is a knight then Liam is a knight.", "We have exhausted all possibilities for Grace, so let us go back and reconsider Isabella.", "Assume Isabella 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 Grace is a knight then Liam is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that If Grace is a knave then Lily is a knight.", "Lily cannot be a knight, because this would contradict the claim of their own that Isabella is a knight or Liam is a knave.", "Assume Lily is a knave. No contradiction is found in their false claim that Isabella is a knight or Liam is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 3), ('telling-truth', 1)), ('->', ('telling-truth', 1), ('telling-truth', 4)), ('or', ('telling-truth', 3), ('lying', 4)), ('not', ('telling-truth', 1)), ('->', ('lying', 1), ('telling-truth', 2)))", "index": 896}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Emily, Sofia, Olivia, Alexander, and Aria. Emily remarked, \"Sofia is a knave if and only if Aria is a knave\". Sofia said that Emily is a knave. \"Emily is a knight,\" Olivia mentioned. \"Olivia is a knight if and only if Aria is a knave,\" Alexander declared. Aria expressed that Aria is a knight if and only if Emily is a knave. So who is a knight and who is a knave?", "names": ["Emily", "Sofia", "Olivia", "Alexander", "Aria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false, false], "solution_text": "Emily is a knave, Sofia is a knight, Olivia is a knave, Alexander is a knave, and Aria is a knave.", "solution_text_format": "(1) Emily is a knave\n(2) Sofia is a knight\n(3) Olivia is a knave\n(4) Alexander is a knave\n(5) Aria is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Emily is a knight. No contradiction is found in their claim that Sofia is a knave if and only if Aria is a knave.", "Sofia cannot be a knight, because this would contradict the claim of their own that Emily is a knave.", "Assume Sofia is a knave. No contradiction is found in their false claim that Emily is a knave.", "Aria cannot be a knight, because this would contradict the claim of Emily that Sofia is a knave if and only if Aria is a knave.", "Aria cannot be a knave, because this would contradict the false claim of their own that Aria is a knight if and only if Emily is a knave.", "We have exhausted all possibilities for Aria and Sofia, so let us go back and reconsider Emily.", "Assume Emily is a knave. No contradiction is found in their false claim that Sofia is a knave if and only if Aria is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that Emily is a knave.", "Aria cannot be a knight, because this would contradict the false claim of Emily that Sofia is a knave if and only if Aria is a knave.", "Assume Aria is a knave. No contradiction is found in their false claim that Aria is a knight if and only if Emily is a knave.", "Olivia cannot be a knight, because this would contradict the claim of their own that Emily is a knight.", "Assume Olivia is a knave. No contradiction is found in their false claim that Emily is a knight.", "Alexander cannot be a knight, because this would contradict the claim of their own that Olivia is a knight if and only if Aria is a knave.", "Assume Alexander is a knave. No contradiction is found in their false claim that Olivia is a knight if and only if Aria is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('lying', 4)), ('lying', 0), ('telling-truth', 0), ('<=>', ('telling-truth', 2), ('lying', 4)), ('<=>', ('telling-truth', 4), ('lying', 0)))", "index": 897}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Oliver, Aria, Mia, Emma, and Victoria. Oliver noted, \"Aria is not a knight\". According to Aria, \"Victoria is a knave or Emma is a knight\". Mia asserted: \"If Emma is a knave then Emma is a knight\". Emma commented, \"Aria is a knight or Emma is a knight\". In Victoria's words: \"If Victoria is a knight then Aria is a knight\". So who is a knight and who is a knave?", "names": ["Oliver", "Aria", "Mia", "Emma", "Victoria"], "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": "Oliver is a knave, Aria is a knight, Mia is a knight, Emma is a knight, and Victoria is a knight.", "solution_text_format": "(1) Oliver is a knave\n(2) Aria is a knight\n(3) Mia is a knight\n(4) Emma 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 Oliver 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 Oliver that Aria is not a knight.", "Assume Aria is a knave. No contradiction is found in their false claim that Victoria is a knave or Emma is a knight.", "Victoria cannot be a knight, because this would contradict the claim of their own that If Victoria is a knight then Aria is a knight.", "Victoria cannot be a knave, because this would contradict the false claim of Aria that Victoria is a knave or Emma is a knight.", "We have exhausted all possibilities for Victoria and Aria, so let us go back and reconsider Oliver.", "Assume Oliver 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 Victoria is a knave or Emma is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that If Victoria is a knight then Aria is a knight.", "Assume Emma is a knight. No contradiction is found in their claim that Aria is a knight or Emma is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that If Emma is a knave then Emma is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('or', ('lying', 4), ('telling-truth', 3)), ('->', ('lying', 3), ('telling-truth', 3)), ('or', ('telling-truth', 1), ('telling-truth', 3)), ('->', ('telling-truth', 4), ('telling-truth', 1)))", "index": 898}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Charlotte, Jack, Chloe, James, and Samuel. \"Jack is a knight and James is a knight\" - Charlotte. Jack said that Chloe is a knave and James is a knave. Chloe commented, \"James is a knight or James is a knave\". James remarked, \"Samuel is a knave if and only if Samuel is a knight\". Samuel was heard saying, \"Jack is a knave\". So who is a knight and who is a knave?", "names": ["Charlotte", "Jack", "Chloe", "James", "Samuel"], "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": "Charlotte is a knave, Jack is a knave, Chloe is a knight, James is a knave, and Samuel is a knight.", "solution_text_format": "(1) Charlotte is a knave\n(2) Jack is a knave\n(3) Chloe is a knight\n(4) James 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 Charlotte is a knight. No contradiction is found in their claim that Jack is a knight and James is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that Chloe is a knave and James is a knave.", "Chloe cannot be a knight, because this would contradict the claim of Jack that Chloe is a knave and James is a knave.", "Chloe cannot be a knave, because this would contradict the false claim of their own that James is a knight or James is a knave.", "We have exhausted all possibilities for Chloe, so let us go back and reconsider Jack.", "Jack cannot be a knave, because this would contradict the claim of Charlotte that Jack is a knight and James is a knight.", "We have exhausted all possibilities for Jack, so let us go back and reconsider Charlotte.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Jack is a knight and James is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that Chloe is a knave and James is a knave.", "Chloe cannot be a knight, because this would contradict the claim of Jack that Chloe is a knave and James is a knave.", "Chloe cannot be a knave, because this would contradict the false claim of their own that James is a knight or James is a knave.", "We have exhausted all possibilities for Chloe, so let us go back and reconsider Jack.", "Assume Jack is a knave. No contradiction is found in their false claim that Chloe is a knave and James is a knave.", "Assume Chloe is a knight. No contradiction is found in their claim that James is a knight or James is a knave.", "James cannot be a knight, because this would contradict the claim of their own that Samuel is a knave if and only if Samuel is a knight.", "Assume James is a knave. No contradiction is found in their false claim that Samuel is a knave if and only if Samuel is a knight.", "Assume Samuel is a knight. No contradiction is found in their claim that Jack is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('telling-truth', 3)), ('and', ('lying', 2), ('lying', 3)), ('or', ('telling-truth', 3), ('lying', 3)), ('<=>', ('lying', 4), ('telling-truth', 4)), ('lying', 1))", "index": 899}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Ethan, Jacob, Jack, Logan, and Harper. Ethan said, \"Logan is a knight or Ethan is a knight.\" Jacob said, \"Logan is a knight.\" Jack stated, \"Harper is a knave or Jacob is a knight\". Logan said that Harper is a knight if and only if Jack is a knave. In a statement by Harper: \"Ethan is a knave and Jacob is a knight\". So who is a knight and who is a knave?", "names": ["Ethan", "Jacob", "Jack", "Logan", "Harper"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, false], "solution_text": "Ethan is a knight, Jacob is a knight, Jack is a knight, Logan is a knight, and Harper is a knave.", "solution_text_format": "(1) Ethan is a knight\n(2) Jacob is a knight\n(3) Jack is a knight\n(4) Logan 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 Ethan is a knight. No contradiction is found in their claim that Logan is a knight or Ethan is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that Harper is a knight if and only if Jack is a knave.", "Harper cannot be a knight, because this would contradict the claim of their own that Ethan is a knave and Jacob is a knight.", "Assume Harper is a knave. No contradiction is found in their false claim that Ethan is a knave and Jacob is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that Logan is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that Harper is a knave or Jacob is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 3), ('telling-truth', 0)), ('telling-truth', 3), ('or', ('lying', 4), ('telling-truth', 1)), ('<=>', ('telling-truth', 4), ('lying', 2)), ('and', ('lying', 0), ('telling-truth', 1)))", "index": 900}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aurora, Owen, Emily, Avery, and Abigail. In a statement by Aurora: \"Emily is a knave\". Owen noted, \"Aurora is a knave if and only if Avery is a knave\". \"Abigail is a knave or Aurora is a knave,\" Emily declared. Avery asserted: \"Abigail is a knight or Owen is a knight\". Abigail expressed that Owen is a knave if and only if Abigail is a knight. So who is a knight and who is a knave?", "names": ["Aurora", "Owen", "Emily", "Avery", "Abigail"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true, true], "solution_text": "Aurora is a knave, Owen is a knave, Emily is a knight, Avery is a knight, and Abigail is a knight.", "solution_text_format": "(1) Aurora is a knave\n(2) Owen is a knave\n(3) Emily is a knight\n(4) Avery is a knight\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 Aurora is a knight. No contradiction is found in their claim that Emily is a knave.", "Emily cannot be a knight, because this would contradict the claim of Aurora that Emily is a knave.", "Assume Emily is a knave. No contradiction is found in their false claim that Abigail is a knave or Aurora is a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that Owen is a knave if and only if Abigail is a knight.", "Owen cannot be a knight, because this would contradict the claim of Abigail that Owen is a knave if and only if Abigail is a knight.", "Assume Owen is a knave. No contradiction is found in their false claim that Aurora is a knave if and only if Avery is a knave.", "Avery cannot be a knight, because this would contradict the false claim of Owen that Aurora is a knave if and only if Avery is a knave.", "Avery cannot be a knave, because this would contradict the false claim of their own that Abigail is a knight or Owen is a knight.", "We have exhausted all possibilities for Avery and Owen, so let us go back and reconsider Abigail.", "Abigail cannot be a knave, because this would contradict the false claim of Emily that Abigail is a knave or Aurora is a knave.", "We have exhausted all possibilities for Abigail and Emily, so let us go back and reconsider Aurora.", "Assume Aurora is a knave. No contradiction is found in their false claim that Emily is a knave.", "Assume Emily is a knight. No contradiction is found in their claim that Abigail is a knave or Aurora is a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that Owen is a knave if and only if Abigail is a knight.", "Owen cannot be a knight, because this would contradict the claim of Abigail that Owen is a knave if and only if Abigail is a knight.", "Assume Owen is a knave. No contradiction is found in their false claim that Aurora is a knave if and only if Avery is a knave.", "Assume Avery is a knight. No contradiction is found in their claim that Abigail is a knight or Owen is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 2), ('<=>', ('lying', 0), ('lying', 3)), ('or', ('lying', 4), ('lying', 0)), ('or', ('telling-truth', 4), ('telling-truth', 1)), ('<=>', ('lying', 1), ('telling-truth', 4)))", "index": 901}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Michael, Elizabeth, Isabella, David, and Luke. Michael said that Isabella is a knight if and only if Isabella is a knave. \"If David is a knight then Elizabeth is a knight,\" Elizabeth claimed. Isabella told you that Michael is a knight and Elizabeth is a knight. David told you that Michael is a knave and Isabella is a knight. Luke expressed that Elizabeth is a knave. So who is a knight and who is a knave?", "names": ["Michael", "Elizabeth", "Isabella", "David", "Luke"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false, false], "solution_text": "Michael is a knave, Elizabeth is a knight, Isabella is a knave, David is a knave, and Luke is a knave.", "solution_text_format": "(1) Michael is a knave\n(2) Elizabeth is a knight\n(3) Isabella is a knave\n(4) David 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": ["Michael cannot be a knight, because this would contradict the claim of their own that Isabella is a knight if and only if Isabella is a knave.", "Assume Michael is a knave. No contradiction is found in their false claim that Isabella is a knight if and only if Isabella is a knave.", "Isabella cannot be a knight, because this would contradict the claim of their own that Michael is a knight and Elizabeth is a knight.", "Assume Isabella is a knave. No contradiction is found in their false claim that Michael is a knight and Elizabeth is a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that If David is a knight then Elizabeth is a knight.", "David cannot be a knight, because this would contradict the claim of their own that Michael is a knave and Isabella is a knight.", "Assume David is a knave. No contradiction is found in their false claim that Michael is a knave and Isabella is a knight.", "Luke cannot be a knight, because this would contradict the claim of their own that Elizabeth is a knave.", "Assume Luke is a knave. No contradiction is found in their false claim that Elizabeth is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 2), ('lying', 2)), ('->', ('telling-truth', 3), ('telling-truth', 1)), ('and', ('telling-truth', 0), ('telling-truth', 1)), ('and', ('lying', 0), ('telling-truth', 2)), ('lying', 1))", "index": 902}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Henry, Michael, Penelope, Aurora, and Evelyn. Henry expressed that Michael is a knight and Aurora is a knight. In Michael's words: \"Henry is a knave and Evelyn is a knave\". As Penelope put it, \"Aurora is a knave\". Aurora said, \"Henry is not a knave.\" Evelyn stated, \"If Aurora is a knight then Henry is a knave\". So who is a knight and who is a knave?", "names": ["Henry", "Michael", "Penelope", "Aurora", "Evelyn"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false, true], "solution_text": "Henry is a knave, Michael is a knave, Penelope is a knight, Aurora is a knave, and Evelyn is a knight.", "solution_text_format": "(1) Henry is a knave\n(2) Michael is a knave\n(3) Penelope is a knight\n(4) Aurora is a knave\n(5) Evelyn is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Henry is a knight. No contradiction is found in their claim that Michael is a knight and Aurora is a knight.", "Michael cannot be a knight, because this would contradict the claim of their own that Henry is a knave and Evelyn is a knave.", "Michael cannot be a knave, because this would contradict the claim of Henry that Michael is a knight and Aurora is a knight.", "We have exhausted all possibilities for Michael, so let us go back and reconsider Henry.", "Assume Henry is a knave. No contradiction is found in their false claim that Michael is a knight and Aurora is a knight.", "Assume Michael is a knight. No contradiction is found in their claim that Henry is a knave and Evelyn is a knave.", "Evelyn cannot be a knight, because this would contradict the claim of Michael that Henry is a knave and Evelyn is a knave.", "Evelyn cannot be a knave, because this would contradict the false claim of their own that If Aurora is a knight then Henry is a knave.", "We have exhausted all possibilities for Evelyn, so let us go back and reconsider Michael.", "Assume Michael is a knave. No contradiction is found in their false claim that Henry is a knave and Evelyn is a knave.", "Assume Evelyn is a knight. No contradiction is found in their claim that If Aurora is a knight then Henry is a knave.", "Aurora cannot be a knight, because this would contradict the claim of their own that Henry is not a knave.", "Assume Aurora is a knave. No contradiction is found in their false claim that Henry is not a knave.", "Assume Penelope is a knight. No contradiction is found in their claim that Aurora is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('telling-truth', 3)), ('and', ('lying', 0), ('lying', 4)), ('lying', 3), ('not', ('lying', 0)), ('->', ('telling-truth', 3), ('lying', 0)))", "index": 903}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Henry, Aiden, Alexander, Matthew, and Zoey. Henry was heard saying, \"If Henry is a knight then Matthew is a knight\". Aiden remarked, \"Matthew is a knave or Alexander is a knight\". Alexander remarked, \"Henry is a knave\". \"Alexander is a knave if and only if Zoey is a knight,\" Matthew claimed. Zoey said that Zoey is a knight. So who is a knight and who is a knave?", "names": ["Henry", "Aiden", "Alexander", "Matthew", "Zoey"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, true], "solution_text": "Henry is a knight, Aiden is a knave, Alexander is a knave, Matthew is a knight, and Zoey is a knight.", "solution_text_format": "(1) Henry is a knight\n(2) Aiden is a knave\n(3) Alexander is a knave\n(4) Matthew is a knight\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 Henry is a knight. No contradiction is found in their claim that If Henry is a knight then Matthew is a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that Alexander is a knave if and only if Zoey is a knight.", "Alexander cannot be a knight, because this would contradict the claim of their own that Henry is a knave.", "Assume Alexander is a knave. No contradiction is found in their false claim that Henry is a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that Zoey is a knight.", "Aiden cannot be a knight, because this would contradict the claim of their own that Matthew is a knave or Alexander is a knight.", "Assume Aiden is a knave. No contradiction is found in their false claim that Matthew is a knave or Alexander is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 0), ('telling-truth', 3)), ('or', ('lying', 3), ('telling-truth', 2)), ('lying', 0), ('<=>', ('lying', 2), ('telling-truth', 4)), ('telling-truth', 4))", "index": 904}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Chloe, Mason, Henry, Lucas, and Samuel. Chloe noted, \"Henry is a knight and Samuel is a knight\". Mason was heard saying, \"Lucas is a knave or Henry is a knave\". According to Henry, \"Samuel is a knave and Samuel is a knight\". \"Lucas is a knight if and only if Samuel is a knight\" - Lucas. Samuel expressed that Lucas is a knight. So who is a knight and who is a knave?", "names": ["Chloe", "Mason", "Henry", "Lucas", "Samuel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true, true], "solution_text": "Chloe is a knave, Mason is a knight, Henry is a knave, Lucas is a knight, and Samuel is a knight.", "solution_text_format": "(1) Chloe is a knave\n(2) Mason is a knight\n(3) Henry is a knave\n(4) Lucas is a knight\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 Chloe is a knight. No contradiction is found in their claim that Henry is a knight and Samuel is a knight.", "Henry cannot be a knight, because this would contradict the claim of their own that Samuel is a knave and Samuel is a knight.", "Henry cannot be a knave, because this would contradict the claim of Chloe that Henry is a knight and Samuel is a knight.", "We have exhausted all possibilities for Henry, so let us go back and reconsider Chloe.", "Assume Chloe is a knave. No contradiction is found in their false claim that Henry is a knight and Samuel is a knight.", "Henry cannot be a knight, because this would contradict the claim of their own that Samuel is a knave and Samuel is a knight.", "Assume Henry is a knave. No contradiction is found in their false claim that Samuel is a knave and Samuel is a knight.", "Assume Samuel is a knight. No contradiction is found in their claim that Lucas is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that Lucas is a knight if and only if Samuel is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that Lucas is a knave or Henry is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 2), ('telling-truth', 4)), ('or', ('lying', 3), ('lying', 2)), ('and', ('lying', 4), ('telling-truth', 4)), ('<=>', ('telling-truth', 3), ('telling-truth', 4)), ('telling-truth', 3))", "index": 905}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Harper, Mason, Jackson, Logan, and Isabella. Harper stated, \"Mason is not a knight\". \"Mason is a knight,\" Mason claimed. Jackson remarked, \"Harper is a knave and Logan is a knave\". Logan was heard saying, \"Jackson is not a knave\". According to Isabella, \"Jackson is a knave\". So who is a knight and who is a knave?", "names": ["Harper", "Mason", "Jackson", "Logan", "Isabella"], "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": "Harper is a knight, Mason is a knave, Jackson is a knave, Logan is a knave, and Isabella is a knight.", "solution_text_format": "(1) Harper is a knight\n(2) Mason is a knave\n(3) Jackson is a knave\n(4) Logan 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 Harper 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 Harper that Mason is not a knight.", "Assume Mason is a knave. No contradiction is found in their false claim that Mason is a knight.", "Jackson cannot be a knight, because this would contradict the claim of their own that Harper is a knave and Logan is a knave.", "Assume Jackson is a knave. No contradiction is found in their false claim that Harper is a knave and Logan is a knave.", "Logan cannot be a knight, because this would contradict the claim of their own that Jackson is not a knave.", "Assume Logan is a knave. No contradiction is found in their false claim that Jackson is not a knave.", "Assume Isabella is a knight. No contradiction is found in their claim that Jackson is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('telling-truth', 1), ('and', ('lying', 0), ('lying', 3)), ('not', ('lying', 2)), ('lying', 2))", "index": 906}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Emily, Ella, Joseph, Aiden, and Sophia. \"If Sophia is a knave then Ella is a knave,\" Emily declared. Ella told you that If Joseph is a knave then Sophia is a knave. As Joseph put it, \"Sophia is a knave if and only if Aiden is a knight\". In Aiden's words: \"If Emily is a knave then Joseph is a knave\". As Sophia put it, \"Joseph is a knave or Joseph is a knight\". So who is a knight and who is a knave?", "names": ["Emily", "Ella", "Joseph", "Aiden", "Sophia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, true], "solution_text": "Emily is a knight, Ella is a knave, Joseph is a knave, Aiden is a knight, and Sophia is a knight.", "solution_text_format": "(1) Emily is a knight\n(2) Ella is a knave\n(3) Joseph is a knave\n(4) Aiden is a knight\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 Emily is a knight. No contradiction is found in their claim that If Sophia is a knave then Ella is a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that Joseph is a knave or Joseph is a knight.", "Assume Joseph is a knight. No contradiction is found in their claim that Sophia is a knave if and only if Aiden is a knight.", "Aiden cannot be a knight, because this would contradict the claim of Joseph that Sophia is a knave if and only if Aiden is a knight.", "Aiden cannot be a knave, because this would contradict the false claim of their own that If Emily is a knave then Joseph is a knave.", "We have exhausted all possibilities for Aiden, so let us go back and reconsider Joseph.", "Assume Joseph is a knave. No contradiction is found in their false claim that Sophia is a knave if and only if Aiden is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that If Emily is a knave then Joseph is a knave.", "Ella cannot be a knight, because this would contradict the claim of their own that If Joseph is a knave then Sophia is a knave.", "Assume Ella is a knave. No contradiction is found in their false claim that If Joseph is a knave then Sophia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 4), ('lying', 1)), ('->', ('lying', 2), ('lying', 4)), ('<=>', ('lying', 4), ('telling-truth', 3)), ('->', ('lying', 0), ('lying', 2)), ('or', ('lying', 2), ('telling-truth', 2)))", "index": 907}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Owen, Olivia, Elizabeth, Sebastian, and Jack. \"Sebastian is not a knave,\" Owen declared. \"If Sebastian is a knight then Sebastian is a knave,\" Olivia mentioned. Elizabeth remarked, \"Jack is a knave or Owen is a knave\". Sebastian said that Olivia is a knight if and only if Owen is a knight. Jack was heard saying, \"Elizabeth is a knight\". So who is a knight and who is a knave?", "names": ["Owen", "Olivia", "Elizabeth", "Sebastian", "Jack"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false, true], "solution_text": "Owen is a knave, Olivia is a knight, Elizabeth is a knight, Sebastian is a knave, and Jack is a knight.", "solution_text_format": "(1) Owen is a knave\n(2) Olivia is a knight\n(3) Elizabeth is a knight\n(4) Sebastian is a knave\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 Owen 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 Olivia is a knight if and only if Owen is a knight.", "Olivia cannot be a knight, because this would contradict the claim of their own that If Sebastian is a knight then Sebastian is a knave.", "Olivia cannot be a knave, because this would contradict the claim of Sebastian that Olivia is a knight if and only if Owen is a knight.", "We have exhausted all possibilities for Olivia, so let us go back and reconsider Sebastian.", "Sebastian cannot be a knave, because this would contradict the claim of Owen that Sebastian is not a knave.", "We have exhausted all possibilities for Sebastian, so let us go back and reconsider Owen.", "Assume Owen is a knave. No contradiction is found in their false claim that Sebastian is not a knave.", "Sebastian cannot be a knight, because this would contradict the false claim of Owen that Sebastian is not a knave.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Olivia is a knight if and only if Owen is a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that If Sebastian is a knight then Sebastian is a knave.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Jack is a knave or Owen is a knave.", "Assume Jack is a knight. No contradiction is found in their claim that Elizabeth is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 3)), ('->', ('telling-truth', 3), ('lying', 3)), ('or', ('lying', 4), ('lying', 0)), ('<=>', ('telling-truth', 1), ('telling-truth', 0)), ('telling-truth', 2))", "index": 908}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Scarlett, Ava, Lucas, Victoria, and Avery. Scarlett commented, \"Scarlett is a knight\". According to Ava, \"If Ava is a knight then Scarlett is a knave\". Lucas said that If Ava is a knave then Avery is a knight. Victoria asserted: \"Avery is a knave and Scarlett is a knight\". In Avery's words: \"Victoria is not a knave\". So who is a knight and who is a knave?", "names": ["Scarlett", "Ava", "Lucas", "Victoria", "Avery"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false, false], "solution_text": "Scarlett is a knave, Ava is a knight, Lucas is a knight, Victoria is a knave, and Avery is a knave.", "solution_text_format": "(1) Scarlett is a knave\n(2) Ava is a knight\n(3) Lucas is a knight\n(4) Victoria is a knave\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 Scarlett is a knight. No contradiction is found in their claim that Scarlett is a knight.", "Ava cannot be a knight, because this would contradict the claim of their own that If Ava is a knight then Scarlett is a knave.", "Ava cannot be a knave, because this would contradict the false claim of their own that If Ava is a knight then Scarlett is a knave.", "We have exhausted all possibilities for Ava, so let us go back and reconsider Scarlett.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Scarlett is a knight.", "Assume Ava is a knight. No contradiction is found in their claim that If Ava is a knight then Scarlett is a knave.", "Assume Lucas is a knight. No contradiction is found in their claim that If Ava is a knave then Avery is a knight.", "Assume Avery is a knight. No contradiction is found in their claim that Victoria is not a knave.", "Victoria cannot be a knight, because this would contradict the claim of their own that Avery is a knave and Scarlett is a knight.", "Victoria cannot be a knave, because this would contradict the claim of Avery that Victoria is not a knave.", "We have exhausted all possibilities for Victoria, so let us go back and reconsider Avery.", "Assume Avery is a knave. No contradiction is found in their false claim that Victoria is not a knave.", "Victoria cannot be a knight, because this would contradict the claim of their own that Avery is a knave and Scarlett is a knight.", "Assume Victoria is a knave. No contradiction is found in their false claim that Avery is a knave and Scarlett is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 0), ('->', ('telling-truth', 1), ('lying', 0)), ('->', ('lying', 1), ('telling-truth', 4)), ('and', ('lying', 4), ('telling-truth', 0)), ('not', ('lying', 3)))", "index": 909}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Isabella, Grace, Luke, Aria, and Avery. As Isabella put it, \"Grace is a knight\". \"Luke is a knight and Grace is a knight\" - Grace. Luke noted, \"If Avery is a knave then Aria is a knight\". \"Isabella is a knight and Avery is a knave\" - Aria. Avery was heard saying, \"If Avery is a knight then Grace is a knave\". So who is a knight and who is a knave?", "names": ["Isabella", "Grace", "Luke", "Aria", "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": "Isabella is a knave, Grace is a knave, Luke is a knight, Aria is a knave, and Avery is a knight.", "solution_text_format": "(1) Isabella is a knave\n(2) Grace is a knave\n(3) Luke is a knight\n(4) Aria 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 Isabella 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 Luke is a knight and Grace is a knight.", "Assume Luke is a knight. No contradiction is found in their claim that If Avery is a knave then Aria is a knight.", "Avery cannot be a knight, because this would contradict the claim of their own that If Avery is a knight then Grace is a knave.", "Avery cannot be a knave, because this would contradict the false claim of their own that If Avery is a knight then Grace is a knave.", "We have exhausted all possibilities for Avery, so let us go back and reconsider Luke.", "Luke cannot be a knave, because this would contradict the claim of Grace that Luke is a knight and Grace is a knight.", "We have exhausted all possibilities for Luke, so let us go back and reconsider Grace.", "Grace cannot be a knave, because this would contradict the claim of Isabella that Grace is a knight.", "We have exhausted all possibilities for Grace, so let us go back and reconsider Isabella.", "Assume Isabella is a knave. No contradiction is found in their false claim that Grace is a knight.", "Grace cannot be a knight, because this would contradict the false claim of Isabella that Grace is a knight.", "Assume Grace is a knave. No contradiction is found in their false claim that Luke is a knight and Grace is a knight.", "Assume Luke is a knight. No contradiction is found in their claim that If Avery is a knave then Aria is a knight.", "Assume Avery is a knight. No contradiction is found in their claim that If Avery is a knight then Grace is a knave.", "Aria cannot be a knight, because this would contradict the claim of their own that Isabella is a knight and Avery is a knave.", "Assume Aria is a knave. No contradiction is found in their false claim that Isabella is a knight and Avery is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 1), ('and', ('telling-truth', 2), ('telling-truth', 1)), ('->', ('lying', 4), ('telling-truth', 3)), ('and', ('telling-truth', 0), ('lying', 4)), ('->', ('telling-truth', 4), ('lying', 1)))", "index": 910}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Samuel, Harper, Victoria, Jack, and Joseph. \"Jack is a knight if and only if Victoria is a knight\" - Samuel. In a statement by Harper: \"If Jack is a knave then Samuel is a knave\". Victoria noted, \"Harper is a knight if and only if Jack is a knave\". \"Harper is a knave or Harper is a knight\" - Jack. In a statement by Joseph: \"Victoria is not a knave\". So who is a knight and who is a knave?", "names": ["Samuel", "Harper", "Victoria", "Jack", "Joseph"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true, false], "solution_text": "Samuel is a knave, Harper is a knight, Victoria is a knave, Jack is a knight, and Joseph is a knave.", "solution_text_format": "(1) Samuel is a knave\n(2) Harper is a knight\n(3) Victoria is a knave\n(4) Jack 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 Samuel is a knight. No contradiction is found in their claim that Jack is a knight if and only if Victoria is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that Harper is a knave or Harper is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that If Jack is a knave then Samuel is a knave.", "Victoria cannot be a knight, because this would contradict the claim of their own that Harper is a knight if and only if Jack is a knave.", "Victoria cannot be a knave, because this would contradict the claim of Samuel that Jack is a knight if and only if Victoria is a knight.", "We have exhausted all possibilities for Victoria, so let us go back and reconsider Harper.", "Harper cannot be a knave, because this would contradict the false claim of their own that If Jack is a knave then Samuel is a knave.", "We have exhausted all possibilities for Harper, so let us go back and reconsider Jack.", "Jack cannot be a knave, because this would contradict the false claim of their own that Harper is a knave or Harper is a knight.", "We have exhausted all possibilities for Jack, so let us go back and reconsider Samuel.", "Assume Samuel is a knave. No contradiction is found in their false claim that Jack is a knight if and only if Victoria is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that Harper is a knave or Harper is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that If Jack is a knave then Samuel is a knave.", "Victoria cannot be a knight, because this would contradict the false claim of Samuel that Jack is a knight if and only if Victoria is a knight.", "Assume Victoria is a knave. No contradiction is found in their false claim that Harper is a knight if and only if Jack is a knave.", "Joseph cannot be a knight, because this would contradict the claim of their own that Victoria is not a knave.", "Assume Joseph is a knave. No contradiction is found in their false claim that Victoria is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 3), ('telling-truth', 2)), ('->', ('lying', 3), ('lying', 0)), ('<=>', ('telling-truth', 1), ('lying', 3)), ('or', ('lying', 1), ('telling-truth', 1)), ('not', ('lying', 2)))", "index": 911}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Isabella, Ethan, Victoria, Michael, and Riley. Isabella remarked, \"Ethan is a knight or Ethan is a knave\". Ethan told you that Riley is not a knight. Victoria commented, \"Riley is a knave if and only if Ethan is a knight\". Michael noted, \"Ethan is a knight\". Riley remarked, \"Isabella is a knave\". So who is a knight and who is a knave?", "names": ["Isabella", "Ethan", "Victoria", "Michael", "Riley"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, false], "solution_text": "Isabella is a knight, Ethan is a knight, Victoria is a knight, Michael is a knight, and Riley is a knave.", "solution_text_format": "(1) Isabella is a knight\n(2) Ethan is a knight\n(3) Victoria is a knight\n(4) Michael is a knight\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 Isabella is a knight. No contradiction is found in their claim that Ethan is a knight or Ethan is a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that Riley is not a knight.", "Riley cannot be a knight, because this would contradict the claim of Ethan that Riley is not a knight.", "Assume Riley is a knave. No contradiction is found in their false claim that Isabella is a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that Riley is a knave if and only if Ethan is a knight.", "Assume Michael is a knight. No contradiction is found in their claim that Ethan is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 1), ('lying', 1)), ('not', ('telling-truth', 4)), ('<=>', ('lying', 4), ('telling-truth', 1)), ('telling-truth', 1), ('lying', 0))", "index": 912}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Evelyn, Amelia, Logan, Scarlett, and Abigail. Evelyn stated, \"Amelia is a knave if and only if Logan is a knight\". In a statement by Amelia: \"Evelyn is a knave or Evelyn is a knight\". \"Abigail is a knave and Amelia is a knave,\" Logan declared. Scarlett said that Logan is a knave and Evelyn is a knight. Abigail asserted: \"Scarlett is a knave\". So who is a knight and who is a knave?", "names": ["Evelyn", "Amelia", "Logan", "Scarlett", "Abigail"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true, false], "solution_text": "Evelyn is a knight, Amelia is a knight, Logan is a knave, Scarlett is a knight, and Abigail is a knave.", "solution_text_format": "(1) Evelyn is a knight\n(2) Amelia is a knight\n(3) Logan is a knave\n(4) Scarlett 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 Evelyn is a knight. No contradiction is found in their claim that Amelia is a knave if and only if Logan is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that Evelyn is a knave or Evelyn is a knight.", "Logan cannot be a knight, because this would contradict the claim of Evelyn that Amelia is a knave if and only if Logan is a knight.", "Assume Logan is a knave. No contradiction is found in their false claim that Abigail is a knave and Amelia is a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that Scarlett is a knave.", "Scarlett cannot be a knight, because this would contradict the claim of Abigail that Scarlett is a knave.", "Scarlett cannot be a knave, because this would contradict the false claim of their own that Logan is a knave and Evelyn is a knight.", "We have exhausted all possibilities for Scarlett, so let us go back and reconsider Abigail.", "Assume Abigail is a knave. No contradiction is found in their false claim that Scarlett is a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that Logan is a knave and Evelyn is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('telling-truth', 2)), ('or', ('lying', 0), ('telling-truth', 0)), ('and', ('lying', 4), ('lying', 1)), ('and', ('lying', 2), ('telling-truth', 0)), ('lying', 3))", "index": 913}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Sofia, Alexander, Grace, Harper, and Benjamin. In Sofia's words: \"Alexander is a knave or Alexander is a knight\". \"Harper is a knave if and only if Grace is a knight,\" Alexander declared. Grace noted, \"Harper is a knight\". Harper expressed that If Grace is a knight then Alexander is a knave. Benjamin was heard saying, \"Alexander is a knave\". So who is a knight and who is a knave?", "names": ["Sofia", "Alexander", "Grace", "Harper", "Benjamin"], "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": "Sofia is a knight, Alexander is a knave, Grace is a knight, Harper is a knight, and Benjamin is a knight.", "solution_text_format": "(1) Sofia is a knight\n(2) Alexander is a knave\n(3) Grace is a knight\n(4) Harper is a knight\n(5) 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 Alexander is a knave or Alexander is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that Harper is a knave if and only if Grace is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that If Grace is a knight then Alexander is a knave.", "Grace cannot be a knight, because this would contradict the claim of Alexander that Harper is a knave if and only if Grace is a knight.", "Grace cannot be a knave, because this would contradict the false claim of their own that Harper is a knight.", "We have exhausted all possibilities for Grace, so let us go back and reconsider Harper.", "Assume Harper is a knave. No contradiction is found in their false claim that If Grace is a knight then Alexander is a knave.", "Grace cannot be a knight, because this would contradict the claim of their own that Harper is a knight.", "Grace cannot be a knave, because this would contradict the claim of Alexander that Harper is a knave if and only if Grace is a knight.", "We have exhausted all possibilities for Grace 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 a knave if and only if Grace is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that If Grace is a knight then Alexander is a knave.", "Assume Grace is a knight. No contradiction is found in their claim that Harper is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that Alexander is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('telling-truth', 1)), ('<=>', ('lying', 3), ('telling-truth', 2)), ('telling-truth', 3), ('->', ('telling-truth', 2), ('lying', 1)), ('lying', 1))", "index": 914}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Luke, James, Mia, Ava, and Noah. \"Noah is not a knave,\" Luke claimed. \"Ava is a knave if and only if Mia is a knave,\" James claimed. As Mia put it, \"James is a knave or James is a knight\". In Ava's words: \"Luke is not a knave\". Noah expressed that Mia is a knight or Luke is a knave. So who is a knight and who is a knave?", "names": ["Luke", "James", "Mia", "Ava", "Noah"], "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": "Luke is a knight, James is a knight, Mia is a knight, Ava is a knight, and Noah is a knight.", "solution_text_format": "(1) Luke is a knight\n(2) James is a knight\n(3) Mia is a knight\n(4) Ava is a knight\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 Luke is a knight. No contradiction is found in their claim that Noah is not a knave.", "Assume Noah is a knight. No contradiction is found in their claim that Mia is a knight or Luke is a knave.", "Assume Mia is a knight. No contradiction is found in their claim that James is a knave or James is a knight.", "Assume James is a knight. No contradiction is found in their claim that Ava is a knave if and only if Mia is a knave.", "Assume Ava is a knight. No contradiction is found in their claim that Luke is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 4)), ('<=>', ('lying', 3), ('lying', 2)), ('or', ('lying', 1), ('telling-truth', 1)), ('not', ('lying', 0)), ('or', ('telling-truth', 2), ('lying', 0)))", "index": 915}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aria, Isabella, Matthew, Avery, and Scarlett. In a statement by Aria: \"Avery is a knight if and only if Scarlett is a knave\". \"Avery is a knight if and only if Isabella is a knight,\" Isabella claimed. Matthew said, \"Scarlett is a knave.\" Avery said, \"Scarlett is not a knight.\" Scarlett was heard saying, \"Aria is a knight if and only if Isabella is a knave\". So who is a knight and who is a knave?", "names": ["Aria", "Isabella", "Matthew", "Avery", "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": "Aria is a knight, Isabella is a knight, Matthew is a knight, Avery is a knight, and Scarlett is a knave.", "solution_text_format": "(1) Aria is a knight\n(2) Isabella is a knight\n(3) Matthew is a knight\n(4) Avery 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 Aria is a knight. No contradiction is found in their claim that Avery is a knight if and only if Scarlett is a knave.", "Assume Avery is a knight. No contradiction is found in their claim that Scarlett is not a knight.", "Scarlett cannot be a knight, because this would contradict the claim of Aria that Avery is a knight if and only if Scarlett is a knave.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Aria is a knight if and only if Isabella is a knave.", "Assume Isabella is a knight. No contradiction is found in their claim that Avery is a knight if and only if Isabella is a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that Scarlett is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 3), ('lying', 4)), ('<=>', ('telling-truth', 3), ('telling-truth', 1)), ('lying', 4), ('not', ('telling-truth', 4)), ('<=>', ('telling-truth', 0), ('lying', 1)))", "index": 916}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Alexander, Zoey, Jackson, Owen, and Jack. Alexander said, \"Owen is a knave if and only if Zoey is a knave.\" According to Zoey, \"If Zoey is a knight then Owen is a knave\". \"Zoey is a knight,\" Jackson claimed. Owen was heard saying, \"Owen is a knight and Jackson is a knight\". Jack commented, \"Zoey is a knave or Jackson is a knave\". So who is a knight and who is a knave?", "names": ["Alexander", "Zoey", "Jackson", "Owen", "Jack"], "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": "Alexander is a knave, Zoey is a knight, Jackson is a knight, Owen is a knave, and Jack is a knave.", "solution_text_format": "(1) Alexander is a knave\n(2) Zoey is a knight\n(3) Jackson is a knight\n(4) Owen 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 Alexander is a knight. No contradiction is found in their claim that Owen is a knave if and only if Zoey is a knave.", "Assume Owen is a knight. No contradiction is found in their claim that Owen is a knight and Jackson is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that Zoey is a knight.", "Zoey cannot be a knight, because this would contradict the claim of their own that If Zoey is a knight then Owen is a knave.", "Zoey cannot be a knave, because this would contradict the claim of Alexander that Owen is a knave if and only if Zoey is a knave.", "We have exhausted all possibilities for Zoey, so let us go back and reconsider Jackson.", "Jackson cannot be a knave, because this would contradict the claim of Owen that Owen is a knight and Jackson is a knight.", "We have exhausted all possibilities for Jackson, so let us go back and reconsider Owen.", "Assume Owen is a knave. No contradiction is found in their false claim that Owen is a knight and Jackson is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that Zoey is a knight.", "Zoey cannot be a knight, because this would contradict the claim of Alexander that Owen is a knave if and only if Zoey is a knave.", "Zoey cannot be a knave, because this would contradict the false claim of their own that If Zoey is a knight then Owen is a knave.", "We have exhausted all possibilities for Zoey, so let us go back and reconsider Jackson.", "Assume Jackson is a knave. No contradiction is found in their false claim that Zoey is a knight.", "Zoey cannot be a knight, because this would contradict the claim of Alexander that Owen is a knave if and only if Zoey is a knave.", "Zoey cannot be a knave, because this would contradict the false claim of their own that If Zoey is a knight then Owen is a knave.", "We have exhausted all possibilities for Zoey, Jackson, and Owen, so let us go back and reconsider Alexander.", "Assume Alexander is a knave. No contradiction is found in their false claim that Owen is a knave if and only if Zoey is a knave.", "Assume Owen is a knight. No contradiction is found in their claim that Owen is a knight and Jackson is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that Zoey is a knight.", "Zoey cannot be a knight, because this would contradict the false claim of Alexander that Owen is a knave if and only if Zoey is a knave.", "Zoey cannot be a knave, because this would contradict the false claim of their own that If Zoey is a knight then Owen is a knave.", "We have exhausted all possibilities for Zoey, so let us go back and reconsider Jackson.", "Jackson cannot be a knave, because this would contradict the claim of Owen that Owen is a knight and Jackson is a knight.", "We have exhausted all possibilities for Jackson, so let us go back and reconsider Owen.", "Assume Owen is a knave. No contradiction is found in their false claim that Owen is a knight and Jackson is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that Zoey is a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that If Zoey is a knight then Owen is a knave.", "Jack cannot be a knight, because this would contradict the claim of their own that Zoey is a knave or Jackson is a knave.", "Assume Jack is a knave. No contradiction is found in their false claim that Zoey is a knave or Jackson is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 3), ('lying', 1)), ('->', ('telling-truth', 1), ('lying', 3)), ('telling-truth', 1), ('and', ('telling-truth', 3), ('telling-truth', 2)), ('or', ('lying', 1), ('lying', 2)))", "index": 917}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Elizabeth, David, Abigail, Penelope, and Harper. Elizabeth was heard saying, \"If David is a knight then Abigail is a knave\". David stated, \"Penelope is a knave and Elizabeth is a knight\". \"Elizabeth is a knight or Penelope is a knave,\" Abigail mentioned. Penelope told you that Harper is a knave. As Harper put it, \"Penelope is not a knight\". So who is a knight and who is a knave?", "names": ["Elizabeth", "David", "Abigail", "Penelope", "Harper"], "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": "Elizabeth is a knight, David is a knave, Abigail is a knight, Penelope is a knight, and Harper is a knave.", "solution_text_format": "(1) Elizabeth is a knight\n(2) David is a knave\n(3) Abigail is a knight\n(4) Penelope 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 Elizabeth is a knight. No contradiction is found in their claim that If David is a knight then Abigail is a knave.", "Assume David is a knight. No contradiction is found in their claim that Penelope is a knave and Elizabeth is a knight.", "Penelope cannot be a knight, because this would contradict the claim of David that Penelope is a knave and Elizabeth is a knight.", "Assume Penelope is a knave. No contradiction is found in their false claim that Harper is a knave.", "Assume Harper is a knight. No contradiction is found in their claim that Penelope is not a knight.", "Abigail cannot be a knight, because this would contradict the claim of Elizabeth that If David is a knight then Abigail is a knave.", "Abigail cannot be a knave, because this would contradict the false claim of their own that Elizabeth is a knight or Penelope is a knave.", "We have exhausted all possibilities for Abigail, so let us go back and reconsider Harper.", "Harper cannot be a knave, because this would contradict the false claim of Penelope that Harper is a knave.", "We have exhausted all possibilities for Harper and Penelope, so let us go back and reconsider David.", "Assume David is a knave. No contradiction is found in their false claim that Penelope is a knave and Elizabeth is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that Harper is a knave.", "Harper cannot be a knight, because this would contradict the claim of Penelope that Harper is a knave.", "Assume Harper is a knave. No contradiction is found in their false claim that Penelope is not a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that Elizabeth is a knight or Penelope is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 1), ('lying', 2)), ('and', ('lying', 3), ('telling-truth', 0)), ('or', ('telling-truth', 0), ('lying', 3)), ('lying', 4), ('not', ('telling-truth', 3)))", "index": 918}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Olivia, Scarlett, Isabella, Elizabeth, and Alexander. Olivia asserted: \"Isabella is not a knave\". Scarlett told you that Olivia is a knight and Elizabeth is a knave. Isabella stated, \"Olivia is a knave if and only if Alexander is a knave\". \"If Elizabeth is a knight then Olivia is a knight,\" Elizabeth declared. Alexander said, \"If Alexander is a knight then Isabella is a knight.\" So who is a knight and who is a knave?", "names": ["Olivia", "Scarlett", "Isabella", "Elizabeth", "Alexander"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, true], "solution_text": "Olivia is a knight, Scarlett is a knave, Isabella is a knight, Elizabeth is a knight, and Alexander is a knight.", "solution_text_format": "(1) Olivia is a knight\n(2) Scarlett is a knave\n(3) Isabella is a knight\n(4) Elizabeth is a knight\n(5) Alexander is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Olivia is a knight. No contradiction is found in their claim that Isabella is not a knave.", "Assume Isabella is a knight. No contradiction is found in their claim that Olivia is a knave if and only if Alexander is a knave.", "Assume Alexander is a knight. No contradiction is found in their claim that If Alexander is a knight then Isabella is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that Olivia is a knight and Elizabeth is a knave.", "Elizabeth cannot be a knight, because this would contradict the claim of Scarlett that Olivia is a knight and Elizabeth is a knave.", "Elizabeth cannot be a knave, because this would contradict the false claim of their own that If Elizabeth is a knight then Olivia is a knight.", "We have exhausted all possibilities for Elizabeth, so let us go back and reconsider Scarlett.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Olivia is a knight and Elizabeth is a knave.", "Assume Elizabeth is a knight. No contradiction is found in their claim that If Elizabeth is a knight then Olivia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 2)), ('and', ('telling-truth', 0), ('lying', 3)), ('<=>', ('lying', 0), ('lying', 4)), ('->', ('telling-truth', 3), ('telling-truth', 0)), ('->', ('telling-truth', 4), ('telling-truth', 2)))", "index": 919}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Alexander, Daniel, Isabella, Scarlett, and Jackson. Alexander commented, \"Jackson is a knight and Scarlett is a knave\". Daniel commented, \"Jackson is not a knight\". In a statement by Isabella: \"Alexander is a knave\". Scarlett said that Alexander is a knight or Isabella is a knight. As Jackson put it, \"If Scarlett is a knave then Alexander is a knave\". So who is a knight and who is a knave?", "names": ["Alexander", "Daniel", "Isabella", "Scarlett", "Jackson"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true, true], "solution_text": "Alexander is a knave, Daniel is a knave, Isabella is a knight, Scarlett is a knight, and Jackson is a knight.", "solution_text_format": "(1) Alexander is a knave\n(2) Daniel is a knave\n(3) Isabella is a knight\n(4) Scarlett is a knight\n(5) Jackson is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Alexander is a knight. No contradiction is found in their claim that Jackson is a knight and Scarlett is a knave.", "Assume Jackson is a knight. No contradiction is found in their claim that If Scarlett is a knave then Alexander is a knave.", "Scarlett cannot be a knight, because this would contradict the claim of Alexander that Jackson is a knight and Scarlett is a knave.", "Scarlett cannot be a knave, because this would contradict the false claim of their own that Alexander is a knight or Isabella is a knight.", "We have exhausted all possibilities for Scarlett, so let us go back and reconsider Jackson.", "Jackson cannot be a knave, because this would contradict the claim of Alexander that Jackson is a knight and Scarlett is a knave.", "We have exhausted all possibilities for Jackson, so let us go back and reconsider Alexander.", "Assume Alexander is a knave. No contradiction is found in their false claim that Jackson is a knight and Scarlett is a knave.", "Assume Jackson is a knight. No contradiction is found in their claim that If Scarlett is a knave then Alexander is a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that Alexander is a knight or Isabella is a knight.", "Assume Isabella is a knight. No contradiction is found in their claim that Alexander is a knave.", "Daniel cannot be a knight, because this would contradict the claim of their own that Jackson is not a knight.", "Assume Daniel is a knave. No contradiction is found in their false claim that Jackson is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 4), ('lying', 3)), ('not', ('telling-truth', 4)), ('lying', 0), ('or', ('telling-truth', 0), ('telling-truth', 2)), ('->', ('lying', 3), ('lying', 0)))", "index": 920}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Oliver, Owen, Zoey, Victoria, and William. Oliver remarked, \"William is a knave if and only if Owen is a knight\". In Owen's words: \"William is not a knight\". \"Zoey is a knight or Victoria is a knave\" - Zoey. \"If Zoey is a knight then Owen is a knight\" - Victoria. \"If Victoria is a knave then Owen is a knight\" - William. So who is a knight and who is a knave?", "names": ["Oliver", "Owen", "Zoey", "Victoria", "William"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, true], "solution_text": "Oliver is a knight, Owen is a knave, Zoey is a knave, Victoria is a knight, and William is a knight.", "solution_text_format": "(1) Oliver is a knight\n(2) Owen is a knave\n(3) Zoey is a knave\n(4) Victoria is a knight\n(5) William is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Oliver is a knight. No contradiction is found in their claim that William is a knave if and only if Owen is a knight.", "Assume William is a knight. No contradiction is found in their claim that If Victoria is a knave then Owen is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that If Zoey is a knight then Owen is a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that Zoey is a knight or Victoria is a knave.", "Owen cannot be a knight, because this would contradict the claim of Oliver that William is a knave if and only if Owen is a knight.", "Owen cannot be a knave, because this would contradict the claim of Victoria that If Zoey is a knight then Owen is a knight.", "We have exhausted all possibilities for Owen, so let us go back and reconsider Zoey.", "Assume Zoey is a knave. No contradiction is found in their false claim that Zoey is a knight or Victoria is a knave.", "Owen cannot be a knight, because this would contradict the claim of Oliver that William is a knave if and only if Owen is a knight.", "Assume Owen is a knave. No contradiction is found in their false claim that William is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 4), ('telling-truth', 1)), ('not', ('telling-truth', 4)), ('or', ('telling-truth', 2), ('lying', 3)), ('->', ('telling-truth', 2), ('telling-truth', 1)), ('->', ('lying', 3), ('telling-truth', 1)))", "index": 921}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Chloe, Sebastian, Ava, Harper, and Olivia. Chloe said, \"Chloe is a knight.\" Sebastian expressed that Olivia is a knight or Harper is a knight. Ava said that Chloe is a knave or Olivia is a knave. Harper said, \"Ava is a knave or Sebastian is a knave.\" According to Olivia, \"Harper is a knight\". So who is a knight and who is a knave?", "names": ["Chloe", "Sebastian", "Ava", "Harper", "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": "Chloe is a knight, Sebastian is a knight, Ava is a knave, Harper is a knight, and Olivia is a knight.", "solution_text_format": "(1) Chloe is a knight\n(2) Sebastian is a knight\n(3) Ava is a knave\n(4) Harper 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 Chloe is a knight. No contradiction is found in their claim that Chloe is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Olivia is a knight or Harper is a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that Harper is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that Ava is a knave or Sebastian is a knave.", "Ava cannot be a knight, because this would contradict the claim of their own that Chloe is a knave or Olivia is a knave.", "Assume Ava is a knave. No contradiction is found in their false claim that Chloe is a knave or Olivia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 0), ('or', ('telling-truth', 4), ('telling-truth', 3)), ('or', ('lying', 0), ('lying', 4)), ('or', ('lying', 2), ('lying', 1)), ('telling-truth', 3))", "index": 922}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aria, Logan, Scarlett, Harper, and Matthew. \"Logan is a knight and Matthew is a knave,\" Aria claimed. Logan said, \"Matthew is not a knave.\" As Scarlett put it, \"Scarlett is a knight\". According to Harper, \"If Scarlett is a knave then Aria is a knight\". \"If Harper is a knight then Logan is a knave\" - Matthew. So who is a knight and who is a knave?", "names": ["Aria", "Logan", "Scarlett", "Harper", "Matthew"], "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": "Aria is a knave, Logan is a knight, Scarlett is a knave, Harper is a knave, and Matthew is a knight.", "solution_text_format": "(1) Aria is a knave\n(2) Logan is a knight\n(3) Scarlett is a knave\n(4) Harper is a knave\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 Aria is a knight. No contradiction is found in their claim that Logan is a knight and Matthew is a knave.", "Assume Logan is a knight. No contradiction is found in their claim that Matthew is not a knave.", "Matthew cannot be a knight, because this would contradict the claim of Aria that Logan is a knight and Matthew is a knave.", "Matthew cannot be a knave, because this would contradict the claim of Logan that Matthew is not a knave.", "We have exhausted all possibilities for Matthew, so let us go back and reconsider Logan.", "Logan cannot be a knave, because this would contradict the claim of Aria that Logan is a knight and Matthew is a knave.", "We have exhausted all possibilities for Logan, so let us go back and reconsider Aria.", "Assume Aria is a knave. No contradiction is found in their false claim that Logan is a knight and Matthew is a knave.", "Assume Logan is a knight. No contradiction is found in their claim that Matthew is not a knave.", "Assume Matthew is a knight. No contradiction is found in their claim that If Harper is a knight then Logan is a knave.", "Harper cannot be a knight, because this would contradict the claim of Matthew that If Harper is a knight then Logan is a knave.", "Assume Harper is a knave. No contradiction is found in their false claim that If Scarlett is a knave then Aria is a knight.", "Scarlett cannot be a knight, because this would contradict the false claim of Harper that If Scarlett is a knave then Aria is a knight.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Scarlett is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('lying', 4)), ('not', ('lying', 4)), ('telling-truth', 2), ('->', ('lying', 2), ('telling-truth', 0)), ('->', ('telling-truth', 3), ('lying', 1)))", "index": 923}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Matthew, Charlotte, Henry, Amelia, and Benjamin. Matthew was heard saying, \"Matthew is a knight if and only if Benjamin is a knave\". \"Amelia is a knave and Henry is a knight,\" Charlotte claimed. In Henry's words: \"Benjamin is a knave\". Amelia was heard saying, \"Benjamin is a knight\". Benjamin stated, \"Matthew is a knight\". So who is a knight and who is a knave?", "names": ["Matthew", "Charlotte", "Henry", "Amelia", "Benjamin"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false, false], "solution_text": "Matthew is a knave, Charlotte is a knight, Henry is a knight, Amelia is a knave, and Benjamin is a knave.", "solution_text_format": "(1) Matthew is a knave\n(2) Charlotte is a knight\n(3) Henry is a knight\n(4) Amelia is a knave\n(5) Benjamin is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Matthew is a knight. No contradiction is found in their claim that Matthew is a knight if and only if Benjamin is a knave.", "Benjamin cannot be a knight, because this would contradict the claim of Matthew that Matthew is a knight if and only if Benjamin is a knave.", "Benjamin cannot be a knave, because this would contradict the false claim of their own that Matthew is a knight.", "We have exhausted all possibilities for Benjamin, so let us go back and reconsider Matthew.", "Assume Matthew is a knave. No contradiction is found in their false claim that Matthew is a knight if and only if Benjamin is a knave.", "Benjamin cannot be a knight, because this would contradict the false claim of Matthew that Matthew is a knight if and only if Benjamin is a knave.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Matthew is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that Amelia is a knave and Henry is a knight.", "Amelia cannot be a knight, because this would contradict the claim of Charlotte that Amelia is a knave and Henry is a knight.", "Assume Amelia is a knave. No contradiction is found in their false claim that Benjamin is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that Benjamin is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 0), ('lying', 4)), ('and', ('lying', 3), ('telling-truth', 2)), ('lying', 4), ('telling-truth', 4), ('telling-truth', 0))", "index": 924}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Sophia, Charlotte, Abigail, Scarlett, and Benjamin. Sophia was heard saying, \"If Benjamin is a knight then Scarlett is a knight\". \"Abigail is a knave if and only if Scarlett is a knight,\" Charlotte mentioned. Abigail told you that Charlotte is a knight. Scarlett noted, \"Charlotte is a knave if and only if Sophia is a knave\". Benjamin noted, \"Sophia is a knave or Abigail is a knave\". So who is a knight and who is a knave?", "names": ["Sophia", "Charlotte", "Abigail", "Scarlett", "Benjamin"], "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": "Sophia is a knave, Charlotte is a knight, Abigail is a knight, Scarlett is a knave, and Benjamin is a knight.", "solution_text_format": "(1) Sophia is a knave\n(2) Charlotte is a knight\n(3) Abigail is a knight\n(4) Scarlett is a knave\n(5) Benjamin is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sophia is a knight. No contradiction is found in their claim that If Benjamin is a knight then Scarlett is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that Sophia is a knave or Abigail is a knave.", "Abigail cannot be a knight, because this would contradict the claim of Benjamin that Sophia is a knave or Abigail is a knave.", "Assume Abigail is a knave. No contradiction is found in their false claim that Charlotte is a knight.", "Charlotte cannot be a knight, because this would contradict the false claim of Abigail that Charlotte is a knight.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Abigail is a knave if and only if Scarlett is a knight.", "Scarlett cannot be a knight, because this would contradict the false claim of Charlotte that Abigail is a knave if and only if Scarlett is a knight.", "Scarlett cannot be a knave, because this would contradict the claim of Sophia that If Benjamin is a knight then Scarlett is a knight.", "We have exhausted all possibilities for Scarlett, Charlotte, and Abigail, so let us go back and reconsider Benjamin.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Sophia is a knave or Abigail is a knave.", "Assume Abigail 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 Abigail is a knave if and only if Scarlett is a knight.", "Scarlett cannot be a knight, because this would contradict the claim of Charlotte that Abigail is a knave if and only if Scarlett is a knight.", "Scarlett cannot be a knave, because this would contradict the false claim of their own that Charlotte is a knave if and only if Sophia is a knave.", "We have exhausted all possibilities for Scarlett, so let us go back and reconsider Charlotte.", "Charlotte cannot be a knave, because this would contradict the claim of Abigail that Charlotte is a knight.", "We have exhausted all possibilities for Charlotte, so let us go back and reconsider Abigail.", "Abigail cannot be a knave, because this would contradict the false claim of Benjamin that Sophia is a knave or Abigail is a knave.", "We have exhausted all possibilities for Abigail and Benjamin, so let us go back and reconsider Sophia.", "Assume Sophia is a knave. No contradiction is found in their false claim that If Benjamin is a knight then Scarlett is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that Sophia is a knave or Abigail is a knave.", "Assume Abigail 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 Abigail is a knave if and only if Scarlett is a knight.", "Scarlett cannot be a knight, because this would contradict the false claim of Sophia that If Benjamin is a knight then Scarlett is a knight.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Charlotte is a knave if and only if Sophia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 4), ('telling-truth', 3)), ('<=>', ('lying', 2), ('telling-truth', 3)), ('telling-truth', 1), ('<=>', ('lying', 1), ('lying', 0)), ('or', ('lying', 0), ('lying', 2)))", "index": 925}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Joseph, Riley, Alexander, Sofia, and Sebastian. As Joseph put it, \"If Alexander is a knave then Alexander is a knight\". In a statement by Riley: \"If Sebastian is a knight then Alexander is a knight\". Alexander remarked, \"Joseph is a knave and Sebastian is a knave\". Sofia told you that Joseph is not a knave. Sebastian asserted: \"Riley is a knave or Riley is a knight\". So who is a knight and who is a knave?", "names": ["Joseph", "Riley", "Alexander", "Sofia", "Sebastian"], "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": "Joseph is a knave, Riley is a knave, Alexander is a knave, Sofia is a knave, and Sebastian is a knight.", "solution_text_format": "(1) Joseph is a knave\n(2) Riley is a knave\n(3) Alexander is a knave\n(4) Sofia is a knave\n(5) Sebastian is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Joseph is a knight. No contradiction is found in their claim that If Alexander is a knave then Alexander is a knight.", "Alexander cannot be a knight, because this would contradict the claim of their own that Joseph is a knave and Sebastian is a knave.", "Alexander cannot be a knave, because this would contradict the claim of Joseph that If Alexander is a knave then Alexander is a knight.", "We have exhausted all possibilities for Alexander, so let us go back and reconsider Joseph.", "Assume Joseph is a knave. No contradiction is found in their false claim that If Alexander is a knave then Alexander is a knight.", "Alexander cannot be a knight, because this would contradict the false claim of Joseph that If Alexander is a knave then Alexander is a knight.", "Assume Alexander is a knave. No contradiction is found in their false claim that Joseph is a knave and Sebastian is a knave.", "Assume Sebastian is a knight. No contradiction is found in their claim that Riley is a knave or Riley is a knight.", "Riley cannot be a knight, because this would contradict the claim of their own that If Sebastian is a knight then Alexander is a knight.", "Assume Riley is a knave. No contradiction is found in their false claim that If Sebastian is a knight then Alexander is a knight.", "Sofia cannot be a knight, because this would contradict the claim of their own that Joseph is not a knave.", "Assume Sofia is a knave. No contradiction is found in their false claim that Joseph is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 2), ('telling-truth', 2)), ('->', ('telling-truth', 4), ('telling-truth', 2)), ('and', ('lying', 0), ('lying', 4)), ('not', ('lying', 0)), ('or', ('lying', 1), ('telling-truth', 1)))", "index": 926}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Logan, Aurora, Scarlett, Charlotte, and Zoey. Logan noted, \"Zoey is a knave and Logan is a knight\". Aurora stated, \"If Aurora is a knight then Charlotte is a knave\". Scarlett stated, \"Logan is not a knight\". Charlotte noted, \"If Aurora is a knight then Zoey is a knight\". Zoey asserted: \"Logan is not a knave\". So who is a knight and who is a knave?", "names": ["Logan", "Aurora", "Scarlett", "Charlotte", "Zoey"], "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, Aurora is a knight, Scarlett is a knight, Charlotte is a knave, and Zoey is a knave.", "solution_text_format": "(1) Logan is a knave\n(2) Aurora is a knight\n(3) Scarlett is a knight\n(4) Charlotte is a knave\n(5) Zoey is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Logan is a knight. No contradiction is found in their claim that Zoey is a knave and Logan is a knight.", "Zoey cannot be a knight, because this would contradict the claim of Logan that Zoey is a knave and Logan is a knight.", "Zoey cannot be a knave, because this would contradict the false claim of their own that Logan is not a knave.", "We have exhausted all possibilities for Zoey, so let us go back and reconsider Logan.", "Assume Logan is a knave. No contradiction is found in their false claim that Zoey is a knave and Logan is a knight.", "Zoey cannot be a knight, because this would contradict the claim of their own that Logan is not a knave.", "Assume Zoey is a knave. No contradiction is found in their false claim that Logan is not a knave.", "Assume Aurora is a knight. No contradiction is found in their claim that If Aurora is a knight then Charlotte is a knave.", "Charlotte cannot be a knight, because this would contradict the claim of Aurora that If Aurora is a knight then Charlotte is a knave.", "Assume Charlotte is a knave. No contradiction is found in their false claim that If Aurora is a knight then Zoey is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that Logan is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 4), ('telling-truth', 0)), ('->', ('telling-truth', 1), ('lying', 3)), ('not', ('telling-truth', 0)), ('->', ('telling-truth', 1), ('telling-truth', 4)), ('not', ('lying', 0)))", "index": 927}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Benjamin, Luke, Jackson, Evelyn, and Mason. According to Benjamin, \"Luke is a knave or Mason is a knave\". Luke remarked, \"If Benjamin is a knave then Benjamin is a knight\". \"If Evelyn is a knight then Mason is a knight,\" Jackson claimed. Evelyn expressed that If Evelyn is a knight then Jackson is a knave. Mason said, \"Jackson is a knight and Jackson is a knave.\" So who is a knight and who is a knave?", "names": ["Benjamin", "Luke", "Jackson", "Evelyn", "Mason"], "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": "Benjamin is a knight, Luke is a knight, Jackson is a knave, Evelyn is a knight, and Mason is a knave.", "solution_text_format": "(1) Benjamin is a knight\n(2) Luke is a knight\n(3) Jackson is a knave\n(4) Evelyn 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 Benjamin is a knight. No contradiction is found in their claim that Luke is a knave or Mason is a knave.", "Assume Luke is a knight. No contradiction is found in their claim that If Benjamin is a knave then Benjamin is a knight.", "Mason cannot be a knight, because this would contradict the claim of Benjamin that Luke is a knave or Mason is a knave.", "Assume Mason is a knave. No contradiction is found in their false claim that Jackson is a knight and Jackson is a knave.", "Assume Jackson is a knight. No contradiction is found in their claim that If Evelyn is a knight then Mason is a knight.", "Evelyn cannot be a knight, because this would contradict the claim of Jackson that If Evelyn is a knight then Mason is a knight.", "Evelyn cannot be a knave, because this would contradict the false claim of their own that If Evelyn is a knight then Jackson is a knave.", "We have exhausted all possibilities for Evelyn, so let us go back and reconsider Jackson.", "Assume Jackson is a knave. No contradiction is found in their false claim that If Evelyn is a knight then Mason is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that If Evelyn is a knight then Jackson is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('lying', 4)), ('->', ('lying', 0), ('telling-truth', 0)), ('->', ('telling-truth', 3), ('telling-truth', 4)), ('->', ('telling-truth', 3), ('lying', 2)), ('and', ('telling-truth', 2), ('lying', 2)))", "index": 928}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Sophia, Penelope, Victoria, Charlotte, and Scarlett. Sophia told you that Charlotte is a knave and Charlotte is a knight. In a statement by Penelope: \"If Sophia is a knight then Scarlett is a knight\". Victoria said, \"If Penelope is a knight then Charlotte is a knave.\" \"Sophia is not a knave,\" Charlotte declared. Scarlett said that Sophia is a knave and Sophia is a knight. So who is a knight and who is a knave?", "names": ["Sophia", "Penelope", "Victoria", "Charlotte", "Scarlett"], "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": "Sophia is a knave, Penelope is a knight, Victoria is a knight, Charlotte is a knave, and Scarlett is a knave.", "solution_text_format": "(1) Sophia is a knave\n(2) Penelope is a knight\n(3) Victoria is a knight\n(4) Charlotte 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": ["Sophia cannot be a knight, because this would contradict the claim of their own that Charlotte is a knave and Charlotte is a knight.", "Assume Sophia is a knave. No contradiction is found in their false claim that Charlotte is a knave and Charlotte is a knight.", "Charlotte cannot be a knight, because this would contradict the claim of their own that Sophia is not a knave.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Sophia is not a knave.", "Assume Penelope is a knight. No contradiction is found in their claim that If Sophia is a knight then Scarlett is a knight.", "Scarlett cannot be a knight, because this would contradict the claim of their own that Sophia is a knave and Sophia is a knight.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Sophia is a knave and Sophia is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that If Penelope is a knight then Charlotte is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 3), ('telling-truth', 3)), ('->', ('telling-truth', 0), ('telling-truth', 4)), ('->', ('telling-truth', 1), ('lying', 3)), ('not', ('lying', 0)), ('and', ('lying', 0), ('telling-truth', 0)))", "index": 929}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aiden, Matthew, Mia, Harper, and Zoey. \"If Harper is a knight then Mia is a knave,\" Aiden claimed. \"Zoey is not a knave,\" Matthew mentioned. \"If Matthew is a knight then Aiden is a knave,\" Mia mentioned. \"Matthew is a knave if and only if Matthew is a knight,\" Harper declared. Zoey asserted: \"Aiden is a knave and Zoey is a knight\". So who is a knight and who is a knave?", "names": ["Aiden", "Matthew", "Mia", "Harper", "Zoey"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false, false], "solution_text": "Aiden is a knight, Matthew is a knave, Mia is a knight, Harper is a knave, and Zoey is a knave.", "solution_text_format": "(1) Aiden is a knight\n(2) Matthew is a knave\n(3) Mia is a knight\n(4) Harper is a knave\n(5) Zoey is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aiden is a knight. No contradiction is found in their claim that If Harper is a knight then Mia is a knave.", "Harper cannot be a knight, because this would contradict the claim of their own that Matthew is a knave if and only if Matthew is a knight.", "Assume Harper is a knave. No contradiction is found in their false claim that Matthew is a knave if and only if Matthew is a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that Zoey is not a knave.", "Zoey cannot be a knight, because this would contradict the claim of their own that Aiden is a knave and Zoey is a knight.", "Zoey cannot be a knave, because this would contradict the claim of Matthew that Zoey is not a knave.", "We have exhausted all possibilities for Zoey, so let us go back and reconsider Matthew.", "Assume Matthew is a knave. No contradiction is found in their false claim that Zoey is not a knave.", "Zoey cannot be a knight, because this would contradict the false claim of Matthew that Zoey is not a knave.", "Assume Zoey is a knave. No contradiction is found in their false claim that Aiden is a knave and Zoey is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that If Matthew is a knight then Aiden is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 3), ('lying', 2)), ('not', ('lying', 4)), ('->', ('telling-truth', 1), ('lying', 0)), ('<=>', ('lying', 1), ('telling-truth', 1)), ('and', ('lying', 0), ('telling-truth', 4)))", "index": 930}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Evelyn, Samuel, Michael, Aurora, and Ella. Evelyn noted, \"Samuel is a knight and Samuel is a knave\". Samuel remarked, \"Michael is a knight and Aurora is a knight\". \"Ella is a knight or Evelyn is a knave\" - Michael. Aurora expressed that Samuel is a knight or Samuel is a knave. As Ella put it, \"Aurora is a knight if and only if Michael is a knave\". So who is a knight and who is a knave?", "names": ["Evelyn", "Samuel", "Michael", "Aurora", "Ella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, false], "solution_text": "Evelyn is a knave, Samuel is a knight, Michael is a knight, Aurora is a knight, and Ella is a knave.", "solution_text_format": "(1) Evelyn is a knave\n(2) Samuel is a knight\n(3) Michael is a knight\n(4) Aurora is a knight\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": ["Evelyn cannot be a knight, because this would contradict the claim of their own that Samuel is a knight and Samuel is a knave.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Samuel is a knight and Samuel is a knave.", "Assume Samuel is a knight. No contradiction is found in their claim that Michael is a knight and Aurora is a knight.", "Assume Michael is a knight. No contradiction is found in their claim that Ella is a knight or Evelyn is a knave.", "Assume Ella is a knight. No contradiction is found in their claim that Aurora is a knight if and only if Michael is a knave.", "Aurora cannot be a knight, because this would contradict the claim of Ella that Aurora is a knight if and only if Michael is a knave.", "Aurora cannot be a knave, because this would contradict the claim of Samuel that Michael is a knight and Aurora is a knight.", "We have exhausted all possibilities for Aurora, so let us go back and reconsider Ella.", "Assume Ella is a knave. No contradiction is found in their false claim that Aurora is a knight if and only if Michael is a knave.", "Assume Aurora is a knight. No contradiction is found in their claim that Samuel is a knight or Samuel is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('lying', 1)), ('and', ('telling-truth', 2), ('telling-truth', 3)), ('or', ('telling-truth', 4), ('lying', 0)), ('or', ('telling-truth', 1), ('lying', 1)), ('<=>', ('telling-truth', 3), ('lying', 2)))", "index": 931}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Amelia, Ava, Elizabeth, Victoria, and Liam. \"Elizabeth is not a knight\" - Amelia. \"Liam is a knight if and only if Liam is a knave,\" Ava declared. Elizabeth noted, \"Liam is not a knight\". Victoria asserted: \"Amelia is a knight or Amelia is a knave\". Liam noted, \"Elizabeth is a knight if and only if Elizabeth is a knave\". So who is a knight and who is a knave?", "names": ["Amelia", "Ava", "Elizabeth", "Victoria", "Liam"], "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": "Amelia is a knave, Ava is a knave, Elizabeth is a knight, Victoria is a knight, and Liam is a knave.", "solution_text_format": "(1) Amelia is a knave\n(2) Ava is a knave\n(3) Elizabeth is a knight\n(4) Victoria 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 Amelia 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 Amelia that Elizabeth is not a knight.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Liam is not a knight.", "Liam cannot be a knight, because this would contradict the claim of their own that Elizabeth is a knight if and only if Elizabeth is a knave.", "Liam cannot be a knave, because this would contradict the false claim of Elizabeth that Liam is not a knight.", "We have exhausted all possibilities for Liam and Elizabeth, so let us go back and reconsider Amelia.", "Assume Amelia is a knave. No contradiction is found in their false claim that Elizabeth is not a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Liam is not a knight.", "Liam cannot be a knight, because this would contradict the claim of Elizabeth that Liam is not a knight.", "Assume Liam is a knave. No contradiction is found in their false claim that Elizabeth is a knight if and only if Elizabeth is a knave.", "Ava cannot be a knight, because this would contradict the claim of their own that Liam is a knight if and only if Liam is a knave.", "Assume Ava is a knave. No contradiction is found in their false claim that Liam is a knight if and only if Liam is a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that Amelia is a knight or Amelia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 2)), ('<=>', ('telling-truth', 4), ('lying', 4)), ('not', ('telling-truth', 4)), ('or', ('telling-truth', 0), ('lying', 0)), ('<=>', ('telling-truth', 2), ('lying', 2)))", "index": 932}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Riley, Evelyn, Sofia, David, and Jack. According to Riley, \"Evelyn is a knight and David is a knight\". Evelyn said, \"Jack is a knight and David is a knave.\" In Sofia's words: \"If Evelyn is a knight then David is a knave\". \"Riley is a knave and Jack is a knave\" - David. \"Jack is a knight or David is a knight,\" Jack declared. So who is a knight and who is a knave?", "names": ["Riley", "Evelyn", "Sofia", "David", "Jack"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false, true], "solution_text": "Riley is a knave, Evelyn is a knight, Sofia is a knight, David is a knave, and Jack is a knight.", "solution_text_format": "(1) Riley is a knave\n(2) Evelyn is a knight\n(3) Sofia is a knight\n(4) David is a knave\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 Riley is a knight. No contradiction is found in their claim that Evelyn is a knight and David is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that Jack is a knight and David is a knave.", "Assume Jack is a knight. No contradiction is found in their claim that Jack is a knight or David is a knight.", "David cannot be a knight, because this would contradict the claim of Evelyn that Jack is a knight and David is a knave.", "David cannot be a knave, because this would contradict the claim of Riley that Evelyn is a knight and David is a knight.", "We have exhausted all possibilities for David, so let us go back and reconsider Jack.", "Jack cannot be a knave, because this would contradict the claim of Evelyn that Jack is a knight and David is a knave.", "We have exhausted all possibilities for Jack, so let us go back and reconsider Evelyn.", "Evelyn cannot be a knave, because this would contradict the claim of Riley that Evelyn is a knight and David is a knight.", "We have exhausted all possibilities for Evelyn, so let us go back and reconsider Riley.", "Assume Riley is a knave. No contradiction is found in their false claim that Evelyn is a knight and David is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that Jack is a knight and David is a knave.", "Assume Jack is a knight. No contradiction is found in their claim that Jack is a knight or David is a knight.", "David cannot be a knight, because this would contradict the false claim of Riley that Evelyn is a knight and David is a knight.", "Assume David is a knave. No contradiction is found in their false claim that Riley is a knave and Jack is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that If Evelyn is a knight then David is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('telling-truth', 3)), ('and', ('telling-truth', 4), ('lying', 3)), ('->', ('telling-truth', 1), ('lying', 3)), ('and', ('lying', 0), ('lying', 4)), ('or', ('telling-truth', 4), ('telling-truth', 3)))", "index": 933}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Liam, Elizabeth, David, Lucas, and Benjamin. Liam told you that Benjamin is a knight or Liam is a knight. According to Elizabeth, \"Liam is a knave if and only if Benjamin is a knave\". \"Elizabeth is not a knave,\" David declared. \"Benjamin is a knave and Elizabeth is a knave\" - Lucas. Benjamin commented, \"Lucas is a knight\". So who is a knight and who is a knave?", "names": ["Liam", "Elizabeth", "David", "Lucas", "Benjamin"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false, false], "solution_text": "Liam is a knave, Elizabeth is a knight, David is a knight, Lucas is a knave, and Benjamin is a knave.", "solution_text_format": "(1) Liam is a knave\n(2) Elizabeth is a knight\n(3) David is a knight\n(4) Lucas is a knave\n(5) Benjamin is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Liam is a knight. No contradiction is found in their claim that Benjamin is a knight or Liam is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that Lucas is a knight.", "Lucas cannot be a knight, because this would contradict the claim of their own that Benjamin is a knave and Elizabeth is a knave.", "Lucas cannot be a knave, because this would contradict the claim of Benjamin that Lucas is a knight.", "We have exhausted all possibilities for Lucas, so let us go back and reconsider Benjamin.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Lucas is a knight.", "Lucas cannot be a knight, because this would contradict the false claim of Benjamin that Lucas is a knight.", "Assume Lucas is a knave. No contradiction is found in their false claim that Benjamin is a knave and Elizabeth is a knave.", "Elizabeth cannot be a knight, because this would contradict the claim of their own that Liam is a knave if and only if Benjamin is a knave.", "Elizabeth cannot be a knave, because this would contradict the false claim of Lucas that Benjamin is a knave and Elizabeth is a knave.", "We have exhausted all possibilities for Elizabeth, Lucas, and Benjamin, so let us go back and reconsider Liam.", "Assume Liam is a knave. No contradiction is found in their false claim that Benjamin is a knight or Liam is a knight.", "Benjamin cannot be a knight, because this would contradict the false claim of Liam that Benjamin is a knight or Liam is a knight.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Lucas is a knight.", "Lucas cannot be a knight, because this would contradict the false claim of Benjamin that Lucas is a knight.", "Assume Lucas is a knave. No contradiction is found in their false claim that Benjamin is a knave and Elizabeth is a knave.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Liam is a knave if and only if Benjamin is a knave.", "Assume David is a knight. No contradiction is found in their claim that Elizabeth is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 4), ('telling-truth', 0)), ('<=>', ('lying', 0), ('lying', 4)), ('not', ('lying', 1)), ('and', ('lying', 4), ('lying', 1)), ('telling-truth', 3))", "index": 934}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Samuel, Emma, Mason, Jackson, and James. Samuel said, \"James is not a knave.\" As Emma put it, \"Jackson is a knave and Mason is a knave\". According to Mason, \"Emma is a knight or Mason is a knight\". \"Emma is a knight and Mason is a knave,\" Jackson declared. In James's words: \"Emma is a knight or Mason is a knight\". So who is a knight and who is a knave?", "names": ["Samuel", "Emma", "Mason", "Jackson", "James"], "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": "Samuel is a knight, Emma is a knave, Mason is a knight, Jackson is a knave, and James is a knight.", "solution_text_format": "(1) Samuel is a knight\n(2) Emma is a knave\n(3) Mason is a knight\n(4) Jackson is a knave\n(5) James is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Samuel is a knight. No contradiction is found in their claim that James is not a knave.", "Assume James is a knight. No contradiction is found in their claim that Emma is a knight or Mason is a knight.", "Assume Emma is a knight. No contradiction is found in their claim that Jackson is a knave and Mason is a knave.", "Jackson cannot be a knight, because this would contradict the claim of Emma that Jackson is a knave and Mason is a knave.", "Assume Jackson is a knave. No contradiction is found in their false claim that Emma is a knight and Mason is a knave.", "Mason cannot be a knight, because this would contradict the claim of Emma that Jackson is a knave and Mason is a knave.", "Mason cannot be a knave, because this would contradict the false claim of their own that Emma is a knight or Mason is a knight.", "We have exhausted all possibilities for Mason and Jackson, so let us go back and reconsider Emma.", "Assume Emma is a knave. No contradiction is found in their false claim that Jackson is a knave and Mason is a knave.", "Jackson cannot be a knight, because this would contradict the claim of their own that Emma is a knight and Mason is a knave.", "Assume Jackson is a knave. No contradiction is found in their false claim that Emma is a knight and Mason is a knave.", "Assume Mason is a knight. No contradiction is found in their claim that Emma is a knight or Mason is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 4)), ('and', ('lying', 3), ('lying', 2)), ('or', ('telling-truth', 1), ('telling-truth', 2)), ('and', ('telling-truth', 1), ('lying', 2)), ('or', ('telling-truth', 1), ('telling-truth', 2)))", "index": 935}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: James, Liam, David, William, and Abigail. In a statement by James: \"Abigail is a knight if and only if William is a knave\". \"David is a knave or William is a knave,\" Liam declared. David said, \"Abigail is not a knave.\" In William's words: \"If James is a knight then Liam is a knave\". Abigail told you that William is a knave. So who is a knight and who is a knave?", "names": ["James", "Liam", "David", "William", "Abigail"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false, true], "solution_text": "James is a knight, Liam is a knight, David is a knight, William is a knave, and Abigail is a knight.", "solution_text_format": "(1) James is a knight\n(2) Liam is a knight\n(3) David is a knight\n(4) William 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 James is a knight. No contradiction is found in their claim that Abigail is a knight if and only if William is a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that William is a knave.", "William cannot be a knight, because this would contradict the claim of James that Abigail is a knight if and only if William is a knave.", "Assume William is a knave. No contradiction is found in their false claim that If James is a knight then Liam is a knave.", "Assume Liam is a knight. No contradiction is found in their claim that David is a knave or William is a knave.", "Assume David is a knight. No contradiction is found in their claim that Abigail is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 4), ('lying', 3)), ('or', ('lying', 2), ('lying', 3)), ('not', ('lying', 4)), ('->', ('telling-truth', 0), ('lying', 1)), ('lying', 3))", "index": 936}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Sofia, Michael, Emily, Emma, and Matthew. \"Emma is a knave and Michael is a knave,\" Sofia declared. Michael commented, \"If Matthew is a knave then Emily is a knight\". Emily commented, \"If Emma is a knight then Emma is a knave\". Emma told you that Emma is a knight and Sofia is a knight. In Matthew's words: \"Sofia is a knave\". So who is a knight and who is a knave?", "names": ["Sofia", "Michael", "Emily", "Emma", "Matthew"], "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": "Sofia is a knave, Michael is a knight, Emily is a knight, Emma is a knave, and Matthew is a knight.", "solution_text_format": "(1) Sofia is a knave\n(2) Michael is a knight\n(3) Emily is a knight\n(4) Emma is a knave\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 Sofia is a knight. No contradiction is found in their claim that Emma is a knave and Michael is a knave.", "Emma cannot be a knight, because this would contradict the claim of Sofia that Emma is a knave and Michael is a knave.", "Assume Emma is a knave. No contradiction is found in their false claim that Emma is a knight and Sofia is a knight.", "Michael cannot be a knight, because this would contradict the claim of Sofia that Emma is a knave and Michael is a knave.", "Assume Michael is a knave. No contradiction is found in their false claim that If Matthew is a knave then Emily is a knight.", "Matthew cannot be a knight, because this would contradict the false claim of Michael that If Matthew is a knave then Emily is a knight.", "Assume Matthew is a knave. No contradiction is found in their false claim that Sofia is a knave.", "Emily cannot be a knight, because this would contradict the false claim of Michael that If Matthew is a knave then Emily is a knight.", "Emily cannot be a knave, because this would contradict the false claim of their own that If Emma is a knight then Emma is a knave.", "We have exhausted all possibilities for Emily, Matthew, Michael, and Emma, so let us go back and reconsider Sofia.", "Assume Sofia is a knave. No contradiction is found in their false claim that Emma is a knave and Michael is a knave.", "Emma cannot be a knight, because this would contradict the claim of their own that Emma is a knight and Sofia is a knight.", "Assume Emma is a knave. No contradiction is found in their false claim that Emma is a knight and Sofia is a knight.", "Assume Michael is a knight. No contradiction is found in their claim that If Matthew is a knave then Emily is a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that Sofia is a knave.", "Assume Emily is a knight. No contradiction is found in their claim that If Emma is a knight then Emma is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 3), ('lying', 1)), ('->', ('lying', 4), ('telling-truth', 2)), ('->', ('telling-truth', 3), ('lying', 3)), ('and', ('telling-truth', 3), ('telling-truth', 0)), ('lying', 0))", "index": 937}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Emily, Mia, Alexander, Henry, and Jackson. \"Henry is not a knave,\" Emily mentioned. \"Mia is a knight and Jackson is a knight,\" Mia claimed. According to Alexander, \"Henry is a knave if and only if Mia is a knight\". Henry stated, \"Alexander is not a knight\". \"If Henry is a knight then Emily is a knave\" - Jackson. So who is a knight and who is a knave?", "names": ["Emily", "Mia", "Alexander", "Henry", "Jackson"], "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": "Emily is a knave, Mia is a knight, Alexander is a knight, Henry is a knave, and Jackson is a knight.", "solution_text_format": "(1) Emily is a knave\n(2) Mia is a knight\n(3) Alexander is a knight\n(4) Henry is a knave\n(5) Jackson is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Emily is a knight. No contradiction is found in their claim that Henry is not a knave.", "Assume Henry 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 Henry that Alexander is not a knight.", "Assume Alexander is a knave. No contradiction is found in their false claim that Henry is a knave if and only if Mia is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that Mia is a knight and Jackson is a knight.", "Jackson cannot be a knight, because this would contradict the claim of their own that If Henry is a knight then Emily is a knave.", "Jackson cannot be a knave, because this would contradict the claim of Mia that Mia is a knight and Jackson is a knight.", "We have exhausted all possibilities for Jackson, so let us go back and reconsider Mia.", "Mia cannot be a knave, because this would contradict the false claim of Alexander that Henry is a knave if and only if Mia is a knight.", "We have exhausted all possibilities for Mia and Alexander, so let us go back and reconsider Henry.", "Henry cannot be a knave, because this would contradict the claim of Emily that Henry is not a knave.", "We have exhausted all possibilities for Henry, so let us go back and reconsider Emily.", "Assume Emily is a knave. No contradiction is found in their false claim that Henry is not a knave.", "Henry cannot be a knight, because this would contradict the false claim of Emily that Henry is not a knave.", "Assume Henry 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 Henry is a knave if and only if Mia is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that Mia is a knight and Jackson is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that If Henry is a knight then Emily is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 3)), ('and', ('telling-truth', 1), ('telling-truth', 4)), ('<=>', ('lying', 3), ('telling-truth', 1)), ('not', ('telling-truth', 2)), ('->', ('telling-truth', 3), ('lying', 0)))", "index": 938}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Michael, Owen, Zoey, Jack, and Aurora. Michael noted, \"Owen is not a knight\". \"Aurora is a knight and Michael is a knight,\" Owen declared. Zoey asserted: \"Jack is not a knight\". \"If Michael is a knight then Zoey is a knave\" - Jack. \"Zoey is a knave if and only if Owen is a knight\" - Aurora. So who is a knight and who is a knave?", "names": ["Michael", "Owen", "Zoey", "Jack", "Aurora"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, false], "solution_text": "Michael is a knight, Owen is a knave, Zoey is a knave, Jack is a knight, and Aurora is a knave.", "solution_text_format": "(1) Michael is a knight\n(2) Owen is a knave\n(3) Zoey is a knave\n(4) Jack is a knight\n(5) Aurora is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Michael is a knight. No contradiction is found in their claim that Owen is not a knight.", "Owen cannot be a knight, because this would contradict the claim of Michael that Owen is not a knight.", "Assume Owen is a knave. No contradiction is found in their false claim that Aurora is a knight and Michael is a knight.", "Aurora cannot be a knight, because this would contradict the false claim of Owen that Aurora is a knight and Michael is a knight.", "Assume Aurora is a knave. No contradiction is found in their false claim that Zoey is a knave if and only if Owen is a knight.", "Zoey cannot be a knight, because this would contradict the false claim of Aurora that Zoey is a knave if and only if Owen is a knight.", "Assume Zoey is a knave. No contradiction is found in their false claim that Jack is not a knight.", "Assume Jack is a knight. No contradiction is found in their claim that If Michael is a knight then Zoey is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('and', ('telling-truth', 4), ('telling-truth', 0)), ('not', ('telling-truth', 3)), ('->', ('telling-truth', 0), ('lying', 2)), ('<=>', ('lying', 2), ('telling-truth', 1)))", "index": 939}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Jack, Jackson, Lily, Jacob, and Michael. \"Lily is a knave or Jackson is a knave,\" Jack mentioned. In a statement by Jackson: \"Lily is not a knave\". \"Lily is a knight if and only if Jackson is a knight\" - Lily. \"Jack is a knight,\" Jacob mentioned. Michael asserted: \"Lily is not a knave\". So who is a knight and who is a knave?", "names": ["Jack", "Jackson", "Lily", "Jacob", "Michael"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false, true], "solution_text": "Jack is a knave, Jackson is a knight, Lily is a knight, Jacob is a knave, and Michael is a knight.", "solution_text_format": "(1) Jack is a knave\n(2) Jackson is a knight\n(3) Lily is a knight\n(4) Jacob is a knave\n(5) Michael is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jack is a knight. No contradiction is found in their claim that Lily is a knave or Jackson is a knave.", "Assume Lily is a knight. No contradiction is found in their claim that Lily is a knight if and only if Jackson is a knight.", "Jackson cannot be a knight, because this would contradict the claim of Jack that Lily is a knave or Jackson is a knave.", "Jackson cannot be a knave, because this would contradict the false claim of their own that Lily is not a knave.", "We have exhausted all possibilities for Jackson, so let us go back and reconsider Lily.", "Assume Lily is a knave. No contradiction is found in their false claim that Lily is a knight if and only if Jackson is a knight.", "Jackson cannot be a knight, because this would contradict the claim of their own that Lily is not a knave.", "Jackson cannot be a knave, because this would contradict the false claim of Lily that Lily is a knight if and only if Jackson is a knight.", "We have exhausted all possibilities for Jackson and Lily, so let us go back and reconsider Jack.", "Assume Jack is a knave. No contradiction is found in their false claim that Lily is a knave or Jackson is a knave.", "Assume Lily is a knight. No contradiction is found in their claim that Lily is a knight if and only if Jackson is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that Lily is not a knave.", "Jacob cannot be a knight, because this would contradict the claim of their own that Jack is a knight.", "Assume Jacob is a knave. No contradiction is found in their false claim that Jack is a knight.", "Assume Michael 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": "(('or', ('lying', 2), ('lying', 1)), ('not', ('lying', 2)), ('<=>', ('telling-truth', 2), ('telling-truth', 1)), ('telling-truth', 0), ('not', ('lying', 2)))", "index": 940}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Owen, William, Harper, Lucas, and Henry. Owen remarked, \"If Henry is a knave then William is a knight\". According to William, \"Owen is a knave or Harper is a knight\". \"William is not a knave\" - Harper. Lucas asserted: \"If Henry is a knave then Owen is a knight\". Henry stated, \"Harper is a knight\". So who is a knight and who is a knave?", "names": ["Owen", "William", "Harper", "Lucas", "Henry"], "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": "Owen is a knight, William is a knight, Harper is a knight, Lucas is a knight, and Henry is a knight.", "solution_text_format": "(1) Owen is a knight\n(2) William is a knight\n(3) Harper is a knight\n(4) Lucas is a knight\n(5) Henry is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Owen is a knight. No contradiction is found in their claim that If Henry is a knave then William is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that Harper is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that William is not a knave.", "Assume William is a knight. No contradiction is found in their claim that Owen is a knave or Harper is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that If Henry is a knave then Owen is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 4), ('telling-truth', 1)), ('or', ('lying', 0), ('telling-truth', 2)), ('not', ('lying', 1)), ('->', ('lying', 4), ('telling-truth', 0)), ('telling-truth', 2))", "index": 941}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Ava, Aiden, Lucas, Abigail, and Riley. \"Abigail is a knight and Lucas is a knave,\" Ava declared. \"Riley is not a knave,\" Aiden mentioned. Lucas said, \"If Riley is a knight then Abigail is a knave.\" Abigail commented, \"Riley is a knight if and only if Riley is a knave\". Riley said, \"Ava is a knave or Lucas is a knave.\" So who is a knight and who is a knave?", "names": ["Ava", "Aiden", "Lucas", "Abigail", "Riley"], "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": "Ava is a knave, Aiden is a knight, Lucas is a knight, Abigail is a knave, and Riley is a knight.", "solution_text_format": "(1) Ava is a knave\n(2) Aiden is a knight\n(3) Lucas is a knight\n(4) Abigail is a knave\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 Ava is a knight. No contradiction is found in their claim that Abigail is a knight and Lucas is a knave.", "Abigail 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.", "Abigail cannot be a knave, because this would contradict the claim of Ava that Abigail is a knight and Lucas is a knave.", "We have exhausted all possibilities for Abigail, so let us go back and reconsider Ava.", "Assume Ava is a knave. No contradiction is found in their false claim that Abigail is a knight and Lucas is a knave.", "Abigail 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 Abigail 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 Riley is a knight. No contradiction is found in their claim that Ava is a knave or Lucas is a knave.", "Assume Lucas is a knight. No contradiction is found in their claim that If Riley is a knight then Abigail is a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that Riley is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 3), ('lying', 2)), ('not', ('lying', 4)), ('->', ('telling-truth', 4), ('lying', 3)), ('<=>', ('telling-truth', 4), ('lying', 4)), ('or', ('lying', 0), ('lying', 2)))", "index": 942}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: James, Isabella, Liam, Logan, and Joseph. James was heard saying, \"Liam is a knight if and only if Logan is a knave\". \"Logan is a knight and Logan is a knave,\" Isabella claimed. Liam said that Logan is not a knave. \"Joseph is not a knight,\" Logan claimed. Joseph said that Liam is a knave or James is a knave. So who is a knight and who is a knave?", "names": ["James", "Isabella", "Liam", "Logan", "Joseph"], "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": "James is a knave, Isabella is a knave, Liam is a knave, Logan is a knave, and Joseph is a knight.", "solution_text_format": "(1) James is a knave\n(2) Isabella is a knave\n(3) Liam is a knave\n(4) Logan is a knave\n(5) Joseph is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume James is a knight. No contradiction is found in their claim that Liam is a knight if and only if Logan is a knave.", "Assume Liam is a knight. No contradiction is found in their claim that Logan is not a knave.", "Logan cannot be a knight, because this would contradict the claim of James that Liam is a knight if and only if Logan is a knave.", "Logan cannot be a knave, because this would contradict the claim of Liam that Logan is not a knave.", "We have exhausted all possibilities for Logan, so let us go back and reconsider Liam.", "Assume Liam is a knave. No contradiction is found in their false claim that Logan is not a knave.", "Logan cannot be a knight, because this would contradict the false claim of Liam that Logan is not a knave.", "Logan cannot be a knave, because this would contradict the claim of James that Liam is a knight if and only if Logan is a knave.", "We have exhausted all possibilities for Logan and Liam, so let us go back and reconsider James.", "Assume James is a knave. No contradiction is found in their false claim that Liam is a knight if and only if Logan is a knave.", "Assume Liam is a knight. No contradiction is found in their claim that Logan is not a knave.", "Assume Logan is a knight. No contradiction is found in their claim that Joseph is not a knight.", "Joseph cannot be a knight, because this would contradict the claim of Logan that Joseph is not a knight.", "Joseph cannot be a knave, because this would contradict the false claim of their own that Liam is a knave or James is a knave.", "We have exhausted all possibilities for Joseph, so let us go back and reconsider Logan.", "Logan cannot be a knave, because this would contradict the false claim of James that Liam is a knight if and only if Logan is a knave.", "We have exhausted all possibilities for Logan, so let us go back and reconsider Liam.", "Assume Liam is a knave. No contradiction is found in their false claim that Logan is not a knave.", "Logan cannot be a knight, because this would contradict the false claim of James that Liam is a knight if and only if Logan is a knave.", "Assume Logan is a knave. No contradiction is found in their false claim that Joseph is not a knight.", "Assume Joseph is a knight. No contradiction is found in their claim that Liam is a knave or James is a knave.", "Isabella cannot be a knight, because this would contradict the claim of their own that Logan is a knight and Logan is a knave.", "Assume Isabella is a knave. No contradiction is found in their false claim that Logan is a knight and Logan is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 2), ('lying', 3)), ('and', ('telling-truth', 3), ('lying', 3)), ('not', ('lying', 3)), ('not', ('telling-truth', 4)), ('or', ('lying', 2), ('lying', 0)))", "index": 943}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: James, Ethan, Logan, Penelope, and Isabella. According to James, \"James is a knight or Isabella is a knave\". \"If Isabella is a knave then Logan is a knave\" - Ethan. Logan said, \"If Ethan is a knight then Ethan is a knave.\" Penelope said, \"If James is a knight then Logan is a knave.\" \"James is a knight,\" Isabella claimed. So who is a knight and who is a knave?", "names": ["James", "Ethan", "Logan", "Penelope", "Isabella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true, true], "solution_text": "James is a knight, Ethan is a knight, Logan is a knave, Penelope is a knight, and Isabella is a knight.", "solution_text_format": "(1) James is a knight\n(2) Ethan is a knight\n(3) Logan is a knave\n(4) Penelope is a knight\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 James is a knight. No contradiction is found in their claim that James is a knight or Isabella is a knave.", "Assume Isabella is a knight. No contradiction is found in their claim that James is a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that If Isabella is a knave then Logan is a knave.", "Logan cannot be a knight, because this would contradict the claim of their own that If Ethan is a knight then Ethan is a knave.", "Assume Logan is a knave. No contradiction is found in their false claim that If Ethan is a knight then Ethan is a knave.", "Assume Penelope is a knight. No contradiction is found in their claim that If James is a knight then Logan is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 0), ('lying', 4)), ('->', ('lying', 4), ('lying', 2)), ('->', ('telling-truth', 1), ('lying', 1)), ('->', ('telling-truth', 0), ('lying', 2)), ('telling-truth', 0))", "index": 944}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: David, Owen, Olivia, Sebastian, and Ava. \"Sebastian is not a knave\" - David. Owen noted, \"David is a knight if and only if David is a knave\". According to Olivia, \"David is not a knave\". Sebastian asserted: \"If Owen is a knight then Ava is a knave\". \"Sebastian is a knave and Owen is a knave,\" Ava mentioned. So who is a knight and who is a knave?", "names": ["David", "Owen", "Olivia", "Sebastian", "Ava"], "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": "David is a knight, Owen is a knave, Olivia is a knight, Sebastian is a knight, and Ava is a knave.", "solution_text_format": "(1) David is a knight\n(2) Owen is a knave\n(3) Olivia is a knight\n(4) Sebastian 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 David is a knight. No contradiction is found in their claim that Sebastian is not a knave.", "Assume Sebastian is a knight. No contradiction is found in their claim that If Owen is a knight then Ava is a knave.", "Owen cannot be a knight, because this would contradict the claim of their own that David is a knight if and only if David is a knave.", "Assume Owen is a knave. No contradiction is found in their false claim that David is a knight if and only if David is a knave.", "Ava cannot be a knight, because this would contradict the claim of their own that Sebastian is a knave and Owen is a knave.", "Assume Ava is a knave. No contradiction is found in their false claim that Sebastian is a knave and Owen is a knave.", "Assume Olivia 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": "(('not', ('lying', 3)), ('<=>', ('telling-truth', 0), ('lying', 0)), ('not', ('lying', 0)), ('->', ('telling-truth', 1), ('lying', 4)), ('and', ('lying', 3), ('lying', 1)))", "index": 945}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Charlotte, Samuel, Mia, Daniel, and Jackson. Charlotte was heard saying, \"Jackson is a knight or Mia is a knight\". Samuel noted, \"Charlotte is a knight and Mia is a knight\". Mia said that Daniel is a knave if and only if Samuel is a knight. Daniel noted, \"Charlotte is a knave if and only if Mia is a knight\". Jackson was heard saying, \"If Jackson is a knight then Charlotte is a knight\". So who is a knight and who is a knave?", "names": ["Charlotte", "Samuel", "Mia", "Daniel", "Jackson"], "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": "Charlotte is a knight, Samuel is a knight, Mia is a knight, Daniel is a knave, and Jackson is a knight.", "solution_text_format": "(1) Charlotte is a knight\n(2) Samuel is a knight\n(3) Mia is a knight\n(4) Daniel is a knave\n(5) Jackson is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Charlotte is a knight. No contradiction is found in their claim that Jackson is a knight or Mia is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that If Jackson is a knight then Charlotte is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that Daniel is a knave if and only if Samuel is a knight.", "Daniel cannot be a knight, because this would contradict the claim of their own that Charlotte 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 Charlotte is a knave if and only if Mia is a knight.", "Assume Samuel is a knight. No contradiction is found in their claim that Charlotte is a knight and Mia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 4), ('telling-truth', 2)), ('and', ('telling-truth', 0), ('telling-truth', 2)), ('<=>', ('lying', 3), ('telling-truth', 1)), ('<=>', ('lying', 0), ('telling-truth', 2)), ('->', ('telling-truth', 4), ('telling-truth', 0)))", "index": 946}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aiden, Riley, Evelyn, Jackson, and William. In Aiden's words: \"William is not a knave\". In Riley's words: \"Jackson is a knave and Aiden is a knight\". Evelyn stated, \"If Aiden is a knave then Riley is a knight\". Jackson expressed that Riley is a knight. William told you that Riley is a knave if and only if Riley is a knight. So who is a knight and who is a knave?", "names": ["Aiden", "Riley", "Evelyn", "Jackson", "William"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, false, false], "solution_text": "Aiden is a knave, Riley is a knave, Evelyn is a knave, Jackson is a knave, and William is a knave.", "solution_text_format": "(1) Aiden is a knave\n(2) Riley is a knave\n(3) Evelyn is a knave\n(4) Jackson is a knave\n(5) 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 Aiden is a knight. No contradiction is found in their claim that William is not a knave.", "William cannot be a knight, because this would contradict the claim of their own that Riley is a knave if and only if Riley is a knight.", "William cannot be a knave, because this would contradict the claim of Aiden that William is not a knave.", "We have exhausted all possibilities for William, so let us go back and reconsider Aiden.", "Assume Aiden is a knave. No contradiction is found in their false claim that William is not a knave.", "William cannot be a knight, because this would contradict the false claim of Aiden that William is not a knave.", "Assume William is a knave. No contradiction is found in their false claim that Riley is a knave if and only if Riley is a knight.", "Riley cannot be a knight, because this would contradict the claim of their own that Jackson is a knave and Aiden is a knight.", "Assume Riley is a knave. No contradiction is found in their false claim that Jackson is a knave and Aiden is a knight.", "Jackson cannot be a knight, because this would contradict the claim of their own that Riley is a knight.", "Assume Jackson is a knave. No contradiction is found in their false claim that Riley is a knight.", "Evelyn cannot be a knight, because this would contradict the claim of their own that If Aiden is a knave then Riley is a knight.", "Assume Evelyn is a knave. No contradiction is found in their false claim that If Aiden is a knave then Riley is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 4)), ('and', ('lying', 3), ('telling-truth', 0)), ('->', ('lying', 0), ('telling-truth', 1)), ('telling-truth', 1), ('<=>', ('lying', 1), ('telling-truth', 1)))", "index": 947}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Chloe, Ella, Grace, Daniel, and Owen. Chloe commented, \"Daniel is a knave if and only if Owen is a knave\". According to Ella, \"If Owen is a knave then Daniel is a knave\". Grace was heard saying, \"Chloe is a knight and Chloe is a knave\". \"Ella is a knave if and only if Daniel is a knight,\" Daniel declared. Owen commented, \"Daniel is a knight if and only if Owen is a knight\". So who is a knight and who is a knave?", "names": ["Chloe", "Ella", "Grace", "Daniel", "Owen"], "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": "Chloe is a knave, Ella is a knave, Grace is a knave, Daniel is a knight, and Owen is a knave.", "solution_text_format": "(1) Chloe is a knave\n(2) Ella is a knave\n(3) Grace is a knave\n(4) Daniel is a knight\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 Chloe is a knight. No contradiction is found in their claim that Daniel is a knave if and only if Owen is a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that Ella is a knave if and only if Daniel is a knight.", "Ella cannot be a knight, because this would contradict the claim of Daniel that Ella is a knave if and only if Daniel is a knight.", "Assume Ella is a knave. No contradiction is found in their false claim that If Owen is a knave then Daniel is a knave.", "Owen cannot be a knight, because this would contradict the false claim of Ella that If Owen is a knave then Daniel is a knave.", "Owen cannot be a knave, because this would contradict the claim of Chloe that Daniel is a knave if and only if Owen is a knave.", "We have exhausted all possibilities for Owen and Ella, so let us go back and reconsider Daniel.", "Assume Daniel is a knave. No contradiction is found in their false claim that Ella is a knave if and only if Daniel is a knight.", "Ella cannot be a knight, because this would contradict the false claim of Daniel that Ella is a knave if and only if Daniel 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 Daniel is a knave.", "We have exhausted all possibilities for Ella and Daniel, so let us go back and reconsider Chloe.", "Assume Chloe is a knave. No contradiction is found in their false claim that Daniel is a knave if and only if Owen is a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that Ella is a knave if and only if Daniel is a knight.", "Ella cannot be a knight, because this would contradict the claim of Daniel that Ella is a knave if and only if Daniel is a knight.", "Assume Ella is a knave. No contradiction is found in their false claim that If Owen is a knave then Daniel is a knave.", "Owen cannot be a knight, because this would contradict the false claim of Chloe that Daniel is a knave if and only if Owen is a knave.", "Assume Owen is a knave. No contradiction is found in their false claim that Daniel is a knight if and only if Owen is a knight.", "Grace cannot be a knight, because this would contradict the claim of their own that Chloe is a knight and Chloe is a knave.", "Assume Grace 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": "(('<=>', ('lying', 3), ('lying', 4)), ('->', ('lying', 4), ('lying', 3)), ('and', ('telling-truth', 0), ('lying', 0)), ('<=>', ('lying', 1), ('telling-truth', 3)), ('<=>', ('telling-truth', 3), ('telling-truth', 4)))", "index": 948}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aria, Logan, Sophia, Michael, and Mason. Aria remarked, \"Michael is not a knave\". Logan said, \"Sophia is not a knave.\" Sophia noted, \"Logan is a knave or Sophia is a knight\". Michael was heard saying, \"If Mason is a knave then Logan is a knight\". Mason expressed that Michael is not a knave. So who is a knight and who is a knave?", "names": ["Aria", "Logan", "Sophia", "Michael", "Mason"], "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": "Aria is a knight, Logan is a knight, Sophia is a knight, Michael is a knight, and Mason is a knight.", "solution_text_format": "(1) Aria is a knight\n(2) Logan is a knight\n(3) Sophia is a knight\n(4) Michael is a knight\n(5) 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 Aria is a knight. No contradiction is found in their claim that Michael is not a knave.", "Assume Michael is a knight. No contradiction is found in their claim that If Mason is a knave then Logan is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that Michael is not a knave.", "Assume Logan is a knight. No contradiction is found in their claim that Sophia is not a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that Logan is a knave or Sophia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 3)), ('not', ('lying', 2)), ('or', ('lying', 1), ('telling-truth', 2)), ('->', ('lying', 4), ('telling-truth', 1)), ('not', ('lying', 3)))", "index": 949}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Victoria, Aurora, Joseph, Matthew, and Lucas. Victoria remarked, \"Matthew is a knave or Joseph is a knave\". In Aurora's words: \"Joseph is not a knave\". Joseph remarked, \"Victoria is a knave or Lucas is a knave\". Matthew told you that Lucas is a knight or Victoria is a knave. Lucas noted, \"Joseph is not a knave\". So who is a knight and who is a knave?", "names": ["Victoria", "Aurora", "Joseph", "Matthew", "Lucas"], "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": "Victoria is a knave, Aurora is a knight, Joseph is a knight, Matthew is a knight, and Lucas is a knight.", "solution_text_format": "(1) Victoria is a knave\n(2) Aurora is a knight\n(3) Joseph is a knight\n(4) Matthew is a knight\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 Victoria is a knight. No contradiction is found in their claim that Matthew is a knave or Joseph is a knave.", "Assume Matthew is a knight. No contradiction is found in their claim that Lucas is a knight or Victoria is a knave.", "Assume Lucas is a knight. No contradiction is found in their claim that Joseph is not a knave.", "Joseph cannot be a knight, because this would contradict the claim of Victoria that Matthew is a knave or Joseph is a knave.", "Joseph cannot be a knave, because this would contradict the claim of Lucas that Joseph is not a knave.", "We have exhausted all possibilities for Joseph, so let us go back and reconsider Lucas.", "Lucas cannot be a knave, because this would contradict the claim of Matthew that Lucas is a knight or Victoria is a knave.", "We have exhausted all possibilities for Lucas, so let us go back and reconsider Matthew.", "Assume Matthew is a knave. No contradiction is found in their false claim that Lucas is a knight or Victoria is a knave.", "Lucas cannot be a knight, because this would contradict the false claim of Matthew that Lucas is a knight or Victoria is a knave.", "Assume Lucas is a knave. No contradiction is found in their false claim that Joseph is not a knave.", "Joseph cannot be a knight, because this would contradict the false claim of Lucas that Joseph is not a knave.", "Joseph cannot be a knave, because this would contradict the false claim of their own that Victoria is a knave or Lucas is a knave.", "We have exhausted all possibilities for Joseph, Lucas, and Matthew, so let us go back and reconsider Victoria.", "Assume Victoria is a knave. No contradiction is found in their false claim that Matthew is a knave or Joseph is a knave.", "Assume Matthew is a knight. No contradiction is found in their claim that Lucas is a knight or Victoria is a knave.", "Assume Lucas is a knight. No contradiction is found in their claim that Joseph is not a knave.", "Assume Joseph is a knight. No contradiction is found in their claim that Victoria is a knave or Lucas is a knave.", "Assume Aurora is a knight. No contradiction is found in their claim that Joseph is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 3), ('lying', 2)), ('not', ('lying', 2)), ('or', ('lying', 0), ('lying', 4)), ('or', ('telling-truth', 4), ('lying', 0)), ('not', ('lying', 2)))", "index": 950}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aria, Scarlett, Owen, Ella, and Olivia. Aria asserted: \"Scarlett is a knave\". Scarlett said that If Aria is a knave then Owen is a knave. Owen stated, \"Olivia is not a knave\". \"If Aria is a knave then Scarlett is a knight,\" Ella claimed. Olivia asserted: \"Ella is a knight and Olivia is a knight\". So who is a knight and who is a knave?", "names": ["Aria", "Scarlett", "Owen", "Ella", "Olivia"], "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": "Aria is a knave, Scarlett is a knight, Owen is a knave, Ella is a knight, and Olivia is a knave.", "solution_text_format": "(1) Aria is a knave\n(2) Scarlett is a knight\n(3) Owen is a knave\n(4) Ella 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 Aria is a knight. No contradiction is found in their claim that Scarlett is a knave.", "Scarlett cannot be a knight, because this would contradict the claim of Aria that Scarlett is a knave.", "Scarlett cannot be a knave, because this would contradict the false claim of their own that If Aria is a knave then Owen is a knave.", "We have exhausted all possibilities for Scarlett, so let us go back and reconsider Aria.", "Assume Aria is a knave. No contradiction is found in their false claim that Scarlett is a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that If Aria is a knave then Owen is a knave.", "Owen cannot be a knight, because this would contradict the claim of Scarlett that If Aria is a knave then Owen is a knave.", "Assume Owen is a knave. No contradiction is found in their false claim that Olivia is not a knave.", "Olivia cannot be a knight, because this would contradict the false claim of Owen that Olivia is not a knave.", "Assume Olivia is a knave. No contradiction is found in their false claim that Ella is a knight and Olivia is a knight.", "Assume Ella is a knight. No contradiction is found in their claim that If Aria is a knave then Scarlett is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('->', ('lying', 0), ('lying', 2)), ('not', ('lying', 4)), ('->', ('lying', 0), ('telling-truth', 1)), ('and', ('telling-truth', 3), ('telling-truth', 4)))", "index": 951}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Penelope, Evelyn, Jackson, Sebastian, and Henry. Penelope commented, \"Jackson is a knight and Jackson is a knave\". Evelyn stated, \"Henry is a knight\". In a statement by Jackson: \"Evelyn is not a knight\". Sebastian said, \"Sebastian is a knight and Jackson is a knave.\" Henry told you that Evelyn is a knight if and only if Evelyn is a knave. So who is a knight and who is a knave?", "names": ["Penelope", "Evelyn", "Jackson", "Sebastian", "Henry"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false, false], "solution_text": "Penelope is a knave, Evelyn is a knave, Jackson is a knight, Sebastian is a knave, and Henry is a knave.", "solution_text_format": "(1) Penelope is a knave\n(2) Evelyn is a knave\n(3) Jackson is a knight\n(4) Sebastian is a knave\n(5) Henry is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Penelope cannot be a knight, because this would contradict the claim of their own that Jackson is a knight and Jackson is a knave.", "Assume Penelope is a knave. No contradiction is found in their false claim that Jackson is a knight and Jackson is a knave.", "Assume Jackson is a knight. No contradiction is found in their claim that Evelyn is not a knight.", "Evelyn cannot be a knight, because this would contradict the claim of Jackson that Evelyn is not a knight.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Henry is a knight.", "Henry cannot be a knight, because this would contradict the false claim of Evelyn that Henry is a knight.", "Assume Henry is a knave. No contradiction is found in their false claim that Evelyn is a knight if and only if Evelyn is a knave.", "Sebastian cannot be a knight, because this would contradict the claim of their own that Sebastian is a knight and Jackson is a knave.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Sebastian is a knight and Jackson is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 2), ('lying', 2)), ('telling-truth', 4), ('not', ('telling-truth', 1)), ('and', ('telling-truth', 3), ('lying', 2)), ('<=>', ('telling-truth', 1), ('lying', 1)))", "index": 952}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Mia, Sophia, Aria, Oliver, and Henry. Mia commented, \"Henry is a knight or Sophia is a knight\". Sophia said that Mia is not a knight. \"Sophia is a knight or Henry is a knight\" - Aria. In a statement by Oliver: \"Sophia is a knight\". Henry said that Henry is a knight. So who is a knight and who is a knave?", "names": ["Mia", "Sophia", "Aria", "Oliver", "Henry"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false, true], "solution_text": "Mia is a knight, Sophia is a knave, Aria is a knight, Oliver is a knave, and Henry is a knight.", "solution_text_format": "(1) Mia is a knight\n(2) Sophia is a knave\n(3) Aria is a knight\n(4) Oliver is a knave\n(5) Henry is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Mia is a knight. No contradiction is found in their claim that Henry is a knight or Sophia is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that Henry is a knight.", "Sophia cannot be a knight, because this would contradict the claim of their own that Mia is not a knight.", "Assume Sophia is a knave. No contradiction is found in their false claim that Mia is not a knight.", "Assume Aria is a knight. No contradiction is found in their claim that Sophia is a knight or Henry is a knight.", "Oliver cannot be a knight, because this would contradict the claim of their own that Sophia is a knight.", "Assume Oliver is a knave. No contradiction is found in their false claim that Sophia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 4), ('telling-truth', 1)), ('not', ('telling-truth', 0)), ('or', ('telling-truth', 1), ('telling-truth', 4)), ('telling-truth', 1), ('telling-truth', 4))", "index": 953}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Jackson, Charlotte, Sophia, David, and Alexander. Jackson was heard saying, \"Alexander is a knave or Sophia is a knave\". Charlotte said that Sophia is a knight and Sophia is a knave. \"Charlotte is a knight if and only if Alexander is a knight,\" Sophia mentioned. According to David, \"Charlotte is a knave if and only if Alexander is a knave\". Alexander stated, \"Alexander is a knight if and only if Sophia is a knave\". So who is a knight and who is a knave?", "names": ["Jackson", "Charlotte", "Sophia", "David", "Alexander"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false, true], "solution_text": "Jackson is a knight, Charlotte is a knave, Sophia is a knave, David is a knave, and Alexander is a knight.", "solution_text_format": "(1) Jackson is a knight\n(2) Charlotte is a knave\n(3) Sophia is a knave\n(4) David is a knave\n(5) Alexander is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jackson is a knight. No contradiction is found in their claim that Alexander is a knave or Sophia is a knave.", "Assume Alexander is a knight. No contradiction is found in their claim that Alexander is a knight if and only if Sophia is a knave.", "Sophia cannot be a knight, because this would contradict the claim of Jackson that Alexander is a knave or Sophia is a knave.", "Assume Sophia is a knave. No contradiction is found in their false claim that Charlotte is a knight if and only if Alexander is a knight.", "Charlotte cannot be a knight, because this would contradict the claim of their own that Sophia is a knight and Sophia is a knave.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Sophia is a knight and Sophia is a knave.", "David cannot be a knight, because this would contradict the claim of their own that Charlotte is a knave if and only if Alexander is a knave.", "Assume David is a knave. No contradiction is found in their false claim that Charlotte is a knave if and only if Alexander is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 4), ('lying', 2)), ('and', ('telling-truth', 2), ('lying', 2)), ('<=>', ('telling-truth', 1), ('telling-truth', 4)), ('<=>', ('lying', 1), ('lying', 4)), ('<=>', ('telling-truth', 4), ('lying', 2)))", "index": 954}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Sofia, Liam, Ethan, Charlotte, and Alexander. \"Ethan is a knave and Alexander is a knave,\" Sofia declared. According to Liam, \"Alexander is a knight if and only if Charlotte is a knight\". Ethan remarked, \"If Alexander is a knave then Liam is a knave\". Charlotte asserted: \"Ethan is a knave\". \"Liam is a knave and Charlotte is a knave\" - Alexander. So who is a knight and who is a knave?", "names": ["Sofia", "Liam", "Ethan", "Charlotte", "Alexander"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false, true], "solution_text": "Sofia is a knave, Liam is a knave, Ethan is a knight, Charlotte is a knave, and Alexander is a knight.", "solution_text_format": "(1) Sofia is a knave\n(2) Liam is a knave\n(3) Ethan is a knight\n(4) Charlotte is a knave\n(5) 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 Sofia is a knight. No contradiction is found in their claim that Ethan is a knave and Alexander is a knave.", "Ethan cannot be a knight, because this would contradict the claim of Sofia that Ethan is a knave and Alexander is a knave.", "Assume Ethan is a knave. No contradiction is found in their false claim that If Alexander is a knave then Liam is a knave.", "Alexander cannot be a knight, because this would contradict the claim of Sofia that Ethan is a knave and Alexander is a knave.", "Assume Alexander is a knave. No contradiction is found in their false claim that Liam is a knave and Charlotte is a knave.", "Assume Liam is a knight. No contradiction is found in their claim that Alexander is a knight if and only if Charlotte is a knight.", "Charlotte cannot be a knight, because this would contradict the claim of Liam that Alexander is a knight if and only if Charlotte is a knight.", "Charlotte cannot be a knave, because this would contradict the false claim of their own that Ethan is a knave.", "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 false claim of Ethan that If Alexander is a knave then Liam is a knave.", "We have exhausted all possibilities for Liam, Alexander, and Ethan, so let us go back and reconsider Sofia.", "Assume Sofia is a knave. No contradiction is found in their false claim that Ethan is a knave and Alexander is a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that If Alexander is a knave then Liam is a knave.", "Assume Alexander is a knight. No contradiction is found in their claim that Liam is a knave and Charlotte is a knave.", "Liam cannot be a knight, because this would contradict the claim of Alexander that Liam is a knave and Charlotte is a knave.", "Assume Liam is a knave. No contradiction is found in their false claim that Alexander is a knight if and only if Charlotte is a knight.", "Charlotte cannot be a knight, because this would contradict the false claim of Liam that Alexander is a knight if and only if Charlotte is a knight.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Ethan is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('lying', 4)), ('<=>', ('telling-truth', 4), ('telling-truth', 3)), ('->', ('lying', 4), ('lying', 1)), ('lying', 2), ('and', ('lying', 1), ('lying', 3)))", "index": 955}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Oliver, Evelyn, Benjamin, Logan, and Mason. Oliver expressed that If Mason is a knave then Oliver is a knight. \"Benjamin is a knave and Logan is a knight,\" Evelyn claimed. Benjamin commented, \"Logan is a knight if and only if Oliver is a knight\". Logan said that Mason is a knave or Benjamin is a knave. In Mason's words: \"Evelyn is not a knight\". So who is a knight and who is a knave?", "names": ["Oliver", "Evelyn", "Benjamin", "Logan", "Mason"], "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": "Oliver is a knave, Evelyn is a knight, Benjamin is a knave, Logan is a knight, and Mason is a knave.", "solution_text_format": "(1) Oliver is a knave\n(2) Evelyn is a knight\n(3) Benjamin is a knave\n(4) Logan 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 Oliver is a knight. No contradiction is found in their claim that If Mason is a knave then Oliver is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that Evelyn is not a knight.", "Evelyn cannot be a knight, because this would contradict the claim of Mason that Evelyn is not a knight.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Benjamin is a knave and Logan is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that Logan is a knight if and only if Oliver is a knight.", "Logan cannot be a knight, because this would contradict the claim of their own that Mason is a knave or Benjamin is a knave.", "Logan cannot be a knave, because this would contradict the claim of Benjamin that Logan is a knight if and only if Oliver is a knight.", "We have exhausted all possibilities for Logan, so let us go back and reconsider Benjamin.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Logan is a knight if and only if Oliver is a knight.", "Logan cannot be a knight, because this would contradict the false claim of Evelyn that Benjamin is a knave and Logan is a knight.", "Logan cannot be a knave, because this would contradict the false claim of their own that Mason is a knave or Benjamin is a knave.", "We have exhausted all possibilities for Logan, Benjamin, and Evelyn, so let us go back and reconsider Mason.", "Assume Mason is a knave. No contradiction is found in their false claim that Evelyn is not a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that Benjamin is a knave and Logan is a knight.", "Benjamin cannot be a knight, because this would contradict the claim of Evelyn that Benjamin is a knave and Logan is a knight.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Logan is a knight if and only if Oliver is a knight.", "Logan cannot be a knight, because this would contradict the false claim of Benjamin that Logan is a knight if and only if Oliver is a knight.", "Logan cannot be a knave, because this would contradict the claim of Evelyn that Benjamin is a knave and Logan is a knight.", "We have exhausted all possibilities for Logan and Benjamin, so let us go back and reconsider Evelyn.", "Evelyn cannot be a knave, because this would contradict the false claim of Mason that Evelyn is not a knight.", "We have exhausted all possibilities for Evelyn and Mason, so let us go back and reconsider Oliver.", "Assume Oliver is a knave. No contradiction is found in their false claim that If Mason is a knave then Oliver is a knight.", "Mason cannot be a knight, because this would contradict the false claim of Oliver that If Mason is a knave then Oliver is a knight.", "Assume Mason is a knave. No contradiction is found in their false claim that Evelyn is not a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that Benjamin is a knave and Logan is a knight.", "Benjamin cannot be a knight, because this would contradict the claim of Evelyn that Benjamin is a knave and Logan is a knight.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Logan is a knight if and only if Oliver is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that Mason is a knave or Benjamin is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 4), ('telling-truth', 0)), ('and', ('lying', 2), ('telling-truth', 3)), ('<=>', ('telling-truth', 3), ('telling-truth', 0)), ('or', ('lying', 4), ('lying', 2)), ('not', ('telling-truth', 1)))", "index": 956}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Samuel, Harper, Penelope, Amelia, and Charlotte. In Samuel's words: \"Charlotte is a knight and Penelope is a knight\". Harper asserted: \"Amelia is not a knight\". \"Penelope is a knight and Harper is a knight,\" Penelope declared. According to Amelia, \"Harper is a knave if and only if Charlotte is a knight\". Charlotte said, \"Harper is not a knight.\" So who is a knight and who is a knave?", "names": ["Samuel", "Harper", "Penelope", "Amelia", "Charlotte"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true, true], "solution_text": "Samuel is a knave, Harper is a knave, Penelope is a knave, Amelia is a knight, and Charlotte is a knight.", "solution_text_format": "(1) Samuel is a knave\n(2) Harper is a knave\n(3) Penelope is a knave\n(4) Amelia 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 Samuel is a knight. No contradiction is found in their claim that Charlotte is a knight and Penelope is a knight.", "Assume Charlotte 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 Charlotte that Harper is not a knight.", "Assume Harper is a knave. No contradiction is found in their false claim that Amelia is not a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that Harper is a knave if and only if Charlotte is a knight.", "Penelope cannot be a knight, because this would contradict the claim of their own that Penelope is a knight and Harper is a knight.", "Penelope cannot be a knave, because this would contradict the claim of Samuel that Charlotte is a knight and Penelope is a knight.", "We have exhausted all possibilities for Penelope, so let us go back and reconsider Amelia.", "Amelia cannot be a knave, because this would contradict the false claim of Harper that Amelia is not a knight.", "We have exhausted all possibilities for Amelia and Harper, so let us go back and reconsider Charlotte.", "Charlotte cannot be a knave, because this would contradict the claim of Samuel that Charlotte is a knight and Penelope is a knight.", "We have exhausted all possibilities for Charlotte, so let us go back and reconsider Samuel.", "Assume Samuel is a knave. No contradiction is found in their false claim that Charlotte is a knight and Penelope is a knight.", "Assume Charlotte 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 Charlotte that Harper is not a knight.", "Assume Harper is a knave. No contradiction is found in their false claim that Amelia is not a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that Harper is a knave if and only if Charlotte is a knight.", "Penelope cannot be a knight, because this would contradict the false claim of Samuel that Charlotte is a knight and Penelope is a knight.", "Assume Penelope is a knave. No contradiction is found in their false claim that Penelope is a knight and Harper is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 4), ('telling-truth', 2)), ('not', ('telling-truth', 3)), ('and', ('telling-truth', 2), ('telling-truth', 1)), ('<=>', ('lying', 1), ('telling-truth', 4)), ('not', ('telling-truth', 1)))", "index": 957}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: James, Jackson, Liam, Scarlett, and Charlotte. James said that Scarlett is a knave or Liam is a knave. As Jackson put it, \"Liam is not a knight\". Liam stated, \"If Jackson is a knight then Jackson is a knave\". Scarlett said, \"James is a knave if and only if Jackson is a knight.\" Charlotte stated, \"Scarlett is a knight or Liam is a knave\". So who is a knight and who is a knave?", "names": ["James", "Jackson", "Liam", "Scarlett", "Charlotte"], "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": "James is a knight, Jackson is a knight, Liam is a knave, Scarlett is a knave, and Charlotte is a knight.", "solution_text_format": "(1) James is a knight\n(2) Jackson is a knight\n(3) Liam is a knave\n(4) Scarlett 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 James is a knight. No contradiction is found in their claim that Scarlett is a knave or Liam is a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that James is a knave if and only if Jackson is a knight.", "Jackson cannot be a knight, because this would contradict the claim of Scarlett that James is a knave if and only if Jackson is a knight.", "Assume Jackson is a knave. No contradiction is found in their false claim that Liam is not a knight.", "Liam cannot be a knight, because this would contradict the claim of James that Scarlett is a knave or Liam is a knave.", "Liam cannot be a knave, because this would contradict the false claim of Jackson that Liam is not a knight.", "We have exhausted all possibilities for Liam and Jackson, so let us go back and reconsider Scarlett.", "Assume Scarlett is a knave. No contradiction is found in their false claim that James is a knave if and only if Jackson is a knight.", "Assume Jackson 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 Jackson that Liam is not a knight.", "Assume Liam is a knave. No contradiction is found in their false claim that If Jackson is a knight then Jackson is a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that Scarlett is a knight or Liam is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 3), ('lying', 2)), ('not', ('telling-truth', 2)), ('->', ('telling-truth', 1), ('lying', 1)), ('<=>', ('lying', 0), ('telling-truth', 1)), ('or', ('telling-truth', 3), ('lying', 2)))", "index": 958}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Jacob, Emily, Ella, Oliver, and Aria. \"If Ella is a knave then Emily is a knave,\" Jacob declared. Emily was heard saying, \"Ella is a knave if and only if Aria is a knave\". \"Oliver is not a knight,\" Ella declared. \"Jacob is a knight,\" Oliver mentioned. Aria noted, \"Jacob is a knight\". So who is a knight and who is a knave?", "names": ["Jacob", "Emily", "Ella", "Oliver", "Aria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, true], "solution_text": "Jacob is a knight, Emily is a knave, Ella is a knave, Oliver is a knight, and Aria is a knight.", "solution_text_format": "(1) Jacob is a knight\n(2) Emily is a knave\n(3) Ella is a knave\n(4) Oliver 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 Jacob is a knight. No contradiction is found in their claim that If Ella is a knave then Emily is a knave.", "Assume Ella is a knight. No contradiction is found in their claim that Oliver is not a knight.", "Oliver cannot be a knight, because this would contradict the claim of Ella that Oliver is not a knight.", "Oliver cannot be a knave, because this would contradict the false claim of their own that Jacob is a knight.", "We have exhausted all possibilities for Oliver, so let us go back and reconsider Ella.", "Assume Ella is a knave. No contradiction is found in their false claim that Oliver is not a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that Jacob is a knight.", "Emily cannot be a knight, because this would contradict the claim of Jacob that If Ella is a knave then Emily is a knave.", "Assume Emily is a knave. No contradiction is found in their false claim that Ella is a knave if and only if Aria is a knave.", "Assume Aria is a knight. No contradiction is found in their claim that Jacob is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 2), ('lying', 1)), ('<=>', ('lying', 2), ('lying', 4)), ('not', ('telling-truth', 3)), ('telling-truth', 0), ('telling-truth', 0))", "index": 959}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Emily, Luke, Joseph, Ava, and David. According to Emily, \"David is a knight and Emily is a knight\". \"Joseph is not a knave,\" Luke claimed. Joseph expressed that Ava is a knave or Emily is a knave. According to Ava, \"Luke is a knight or Ava is a knight\". David said that Ava is a knave. So who is a knight and who is a knave?", "names": ["Emily", "Luke", "Joseph", "Ava", "David"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, false], "solution_text": "Emily is a knave, Luke is a knight, Joseph is a knight, Ava is a knight, and David is a knave.", "solution_text_format": "(1) Emily is a knave\n(2) Luke is a knight\n(3) Joseph is a knight\n(4) Ava is a knight\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 Emily is a knight. No contradiction is found in their claim that David is a knight and Emily is a knight.", "Assume David is a knight. No contradiction is found in their claim that Ava is a knave.", "Ava cannot be a knight, because this would contradict the claim of David that Ava is a knave.", "Assume Ava is a knave. No contradiction is found in their false claim that Luke is a knight or Ava is a knight.", "Luke cannot be a knight, because this would contradict the false claim of Ava that Luke is a knight or Ava is a knight.", "Assume Luke is a knave. No contradiction is found in their false claim that Joseph is not a knave.", "Joseph cannot be a knight, because this would contradict the false claim of Luke that Joseph is not a knave.", "Joseph cannot be a knave, because this would contradict the false claim of their own that Ava is a knave or Emily is a knave.", "We have exhausted all possibilities for Joseph, Luke, and Ava, so let us go back and reconsider David.", "David cannot be a knave, because this would contradict the claim of Emily that David is a knight and Emily is a knight.", "We have exhausted all possibilities for David, so let us go back and reconsider Emily.", "Assume Emily is a knave. No contradiction is found in their false claim that David is a knight and Emily is a knight.", "Assume David is a knight. No contradiction is found in their claim that Ava is a knave.", "Ava cannot be a knight, because this would contradict the claim of David that Ava is a knave.", "Assume Ava is a knave. No contradiction is found in their false claim that Luke is a knight or Ava is a knight.", "Luke cannot be a knight, because this would contradict the false claim of Ava that Luke is a knight or Ava is a knight.", "Assume Luke is a knave. No contradiction is found in their false claim that Joseph is not a knave.", "Joseph cannot be a knight, because this would contradict the false claim of Luke that Joseph is not a knave.", "Joseph cannot be a knave, because this would contradict the false claim of their own that Ava is a knave or Emily is a knave.", "We have exhausted all possibilities for Joseph, Luke, and Ava, so let us go back and reconsider David.", "Assume David is a knave. No contradiction is found in their false claim that Ava is a knave.", "Assume Ava is a knight. No contradiction is found in their claim that Luke is a knight or Ava is a knight.", "Assume Luke is a knight. No contradiction is found in their claim that Joseph is not a knave.", "Assume Joseph is a knight. No contradiction is found in their claim that Ava is a knave or Emily is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 4), ('telling-truth', 0)), ('not', ('lying', 2)), ('or', ('lying', 3), ('lying', 0)), ('or', ('telling-truth', 1), ('telling-truth', 3)), ('lying', 3))", "index": 960}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Oliver, Sebastian, Ethan, Ella, and Lily. \"Lily is not a knight,\" Oliver declared. According to Sebastian, \"Oliver is a knight or Oliver is a knave\". Ethan remarked, \"Lily is a knave if and only if Ethan is a knight\". Ella commented, \"Sebastian is a knight and Ethan is a knave\". Lily noted, \"Ella is not a knight\". So who is a knight and who is a knave?", "names": ["Oliver", "Sebastian", "Ethan", "Ella", "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": "Oliver is a knight, Sebastian is a knight, Ethan is a knave, Ella is a knight, and Lily is a knave.", "solution_text_format": "(1) Oliver is a knight\n(2) Sebastian is a knight\n(3) Ethan is a knave\n(4) Ella 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 Oliver is a knight. No contradiction is found in their claim that Lily is not a knight.", "Lily cannot be a knight, because this would contradict the claim of Oliver that Lily is not a knight.", "Assume Lily is a knave. No contradiction is found in their false claim that Ella is not a knight.", "Assume Ella is a knight. No contradiction is found in their claim that Sebastian is a knight and Ethan is a knave.", "Assume Sebastian is a knight. No contradiction is found in their claim that Oliver is a knight or Oliver is a knave.", "Ethan cannot be a knight, because this would contradict the claim of Ella that Sebastian is a knight and Ethan is a knave.", "Assume Ethan is a knave. No contradiction is found in their false claim that Lily is a knave if and only if Ethan is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 4)), ('or', ('telling-truth', 0), ('lying', 0)), ('<=>', ('lying', 4), ('telling-truth', 2)), ('and', ('telling-truth', 1), ('lying', 2)), ('not', ('telling-truth', 3)))", "index": 961}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Ethan, Isabella, Chloe, Lily, and Victoria. Ethan said that Chloe is a knight if and only if Chloe is a knave. Isabella said, \"Isabella is a knight or Lily is a knight.\" In a statement by Chloe: \"Chloe is a knight or Isabella is a knight\". Lily said that Chloe is a knave or Ethan is a knave. Victoria expressed that Ethan is not a knave. So who is a knight and who is a knave?", "names": ["Ethan", "Isabella", "Chloe", "Lily", "Victoria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, false], "solution_text": "Ethan is a knave, Isabella is a knight, Chloe is a knight, Lily is a knight, and Victoria is a knave.", "solution_text_format": "(1) Ethan is a knave\n(2) Isabella is a knight\n(3) Chloe is a knight\n(4) Lily is a knight\n(5) Victoria is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Ethan cannot be a knight, because this would contradict the claim of their own that Chloe is a knight if and only if Chloe is a knave.", "Assume Ethan is a knave. No contradiction is found in their false claim that Chloe is a knight if and only if Chloe is a knave.", "Assume Chloe is a knight. No contradiction is found in their claim that Chloe is a knight or Isabella is a knight.", "Assume Isabella is a knight. No contradiction is found in their claim that Isabella is a knight or Lily is a knight.", "Assume Lily is a knight. No contradiction is found in their claim that Chloe is a knave or Ethan is a knave.", "Victoria cannot be a knight, because this would contradict the claim of their own that Ethan is not a knave.", "Assume Victoria is a knave. No contradiction is found in their false claim that Ethan is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 2), ('lying', 2)), ('or', ('telling-truth', 1), ('telling-truth', 3)), ('or', ('telling-truth', 2), ('telling-truth', 1)), ('or', ('lying', 2), ('lying', 0)), ('not', ('lying', 0)))", "index": 962}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Isabella, Ella, Emily, Chloe, and Avery. Isabella was heard saying, \"Chloe is not a knave\". \"If Avery is a knight then Chloe is a knave,\" Ella mentioned. In Emily's words: \"Isabella is a knight or Chloe is a knave\". Chloe told you that Avery is not a knight. \"If Chloe is a knave then Ella is a knight,\" Avery claimed. So who is a knight and who is a knave?", "names": ["Isabella", "Ella", "Emily", "Chloe", "Avery"], "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": "Isabella is a knave, Ella is a knight, Emily is a knight, Chloe is a knave, and Avery is a knight.", "solution_text_format": "(1) Isabella is a knave\n(2) Ella is a knight\n(3) Emily is a knight\n(4) Chloe 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 Isabella 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 Avery is not a knight.", "Avery cannot be a knight, because this would contradict the claim of Chloe that Avery is not a knight.", "Avery cannot be a knave, because this would contradict the false claim of their own that If Chloe is a knave then Ella is a knight.", "We have exhausted all possibilities for Avery, so let us go back and reconsider Chloe.", "Chloe cannot be a knave, because this would contradict the claim of Isabella that Chloe is not a knave.", "We have exhausted all possibilities for Chloe, so let us go back and reconsider Isabella.", "Assume Isabella is a knave. No contradiction is found in their false claim that Chloe is not a knave.", "Chloe cannot be a knight, because this would contradict the false claim of Isabella that Chloe is not a knave.", "Assume Chloe is a knave. No contradiction is found in their false claim that Avery is not a knight.", "Assume Avery is a knight. No contradiction is found in their claim that If Chloe is a knave then Ella is a knight.", "Assume Ella is a knight. No contradiction is found in their claim that If Avery is a knight then Chloe is a knave.", "Assume Emily is a knight. No contradiction is found in their claim that Isabella is a knight or Chloe is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 3)), ('->', ('telling-truth', 4), ('lying', 3)), ('or', ('telling-truth', 0), ('lying', 3)), ('not', ('telling-truth', 4)), ('->', ('lying', 3), ('telling-truth', 1)))", "index": 963}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Ava, Benjamin, Lucas, David, and Penelope. According to Ava, \"If David is a knight then Penelope is a knave\". Benjamin noted, \"David is a knight\". According to Lucas, \"Benjamin is a knave or Lucas is a knight\". \"If David is a knight then Lucas is a knight,\" David mentioned. Penelope was heard saying, \"Lucas is not a knave\". So who is a knight and who is a knave?", "names": ["Ava", "Benjamin", "Lucas", "David", "Penelope"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, true], "solution_text": "Ava is a knave, Benjamin is a knight, Lucas is a knight, David is a knight, and Penelope is a knight.", "solution_text_format": "(1) Ava is a knave\n(2) Benjamin is a knight\n(3) Lucas is a knight\n(4) David is a knight\n(5) Penelope is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ava is a knight. No contradiction is found in their claim that If David is a knight then Penelope is a knave.", "Assume David is a knight. No contradiction is found in their claim that If David is a knight then Lucas is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that Benjamin is a knave or Lucas is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that David is a knight.", "Penelope cannot be a knight, because this would contradict the claim of Ava that If David is a knight then Penelope is a knave.", "Penelope cannot be a knave, because this would contradict the false claim of their own that Lucas is not a knave.", "We have exhausted all possibilities for Penelope, so let us go back and reconsider Benjamin.", "Benjamin cannot be a knave, because this would contradict the false claim of their own that David is a knight.", "We have exhausted all possibilities for Benjamin, so let us go back and reconsider Lucas.", "Lucas cannot be a knave, because this would contradict the claim of David that If David is a knight then Lucas is a knight.", "We have exhausted all possibilities for Lucas, so let us go back and reconsider David.", "David cannot be a knave, because this would contradict the false claim of their own that If David is a knight then Lucas is a knight.", "We have exhausted all possibilities for David, so let us go back and reconsider Ava.", "Assume Ava is a knave. No contradiction is found in their false claim that If David is a knight then Penelope is a knave.", "Assume David is a knight. No contradiction is found in their claim that If David is a knight then Lucas is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that Benjamin is a knave or Lucas is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that David is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that Lucas is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 3), ('lying', 4)), ('telling-truth', 3), ('or', ('lying', 1), ('telling-truth', 2)), ('->', ('telling-truth', 3), ('telling-truth', 2)), ('not', ('lying', 2)))", "index": 964}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Benjamin, Penelope, Owen, Chloe, and William. According to Benjamin, \"If Chloe is a knave then William is a knight\". Penelope noted, \"Benjamin is a knight if and only if Benjamin is a knave\". Owen noted, \"Benjamin is a knight or Penelope is a knave\". Chloe told you that If Chloe is a knight then William is a knight. William asserted: \"If Chloe is a knave then Benjamin is a knight\". So who is a knight and who is a knave?", "names": ["Benjamin", "Penelope", "Owen", "Chloe", "William"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, true], "solution_text": "Benjamin is a knight, Penelope is a knave, Owen is a knight, Chloe is a knight, and William is a knight.", "solution_text_format": "(1) Benjamin is a knight\n(2) Penelope is a knave\n(3) Owen is a knight\n(4) Chloe is a knight\n(5) William is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Benjamin is a knight. No contradiction is found in their claim that If Chloe is a knave then William is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that If Chloe is a knight then William is a knight.", "Assume William is a knight. No contradiction is found in their claim that If Chloe is a knave then Benjamin is a knight.", "Penelope cannot be a knight, because this would contradict the claim of their own that Benjamin is a knight if and only if Benjamin is a knave.", "Assume Penelope is a knave. No contradiction is found in their false claim that Benjamin is a knight if and only if Benjamin is a knave.", "Assume Owen is a knight. No contradiction is found in their claim that Benjamin is a knight or Penelope is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 3), ('telling-truth', 4)), ('<=>', ('telling-truth', 0), ('lying', 0)), ('or', ('telling-truth', 0), ('lying', 1)), ('->', ('telling-truth', 3), ('telling-truth', 4)), ('->', ('lying', 3), ('telling-truth', 0)))", "index": 965}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Penelope, Mia, Aurora, Liam, and Jack. \"Aurora is a knight and Mia is a knave,\" Penelope declared. \"Liam is a knight\" - Mia. Aurora stated, \"Liam is not a knight\". Liam remarked, \"Penelope is a knave if and only if Aurora is a knave\". As Jack put it, \"Penelope is a knight or Aurora is a knave\". So who is a knight and who is a knave?", "names": ["Penelope", "Mia", "Aurora", "Liam", "Jack"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true, true], "solution_text": "Penelope is a knave, Mia is a knight, Aurora is a knave, Liam is a knight, and Jack is a knight.", "solution_text_format": "(1) Penelope is a knave\n(2) Mia is a knight\n(3) Aurora is a knave\n(4) Liam 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 Penelope is a knight. No contradiction is found in their claim that Aurora is a knight and Mia is a knave.", "Assume Aurora 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 Aurora that Liam is not a knight.", "Liam cannot be a knave, because this would contradict the false claim of their own that Penelope is a knave if and only if Aurora is a knave.", "We have exhausted all possibilities for Liam, so let us go back and reconsider Aurora.", "Aurora cannot be a knave, because this would contradict the claim of Penelope that Aurora is a knight and Mia is a knave.", "We have exhausted all possibilities for Aurora, so let us go back and reconsider Penelope.", "Assume Penelope is a knave. No contradiction is found in their false claim that Aurora is a knight and Mia is a knave.", "Assume Aurora 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 Aurora that Liam is not a knight.", "Assume Liam is a knave. No contradiction is found in their false claim that Penelope is a knave if and only if Aurora is a knave.", "Mia cannot be a knight, because this would contradict the claim of their own that Liam is a knight.", "Mia cannot be a knave, because this would contradict the false claim of Penelope that Aurora is a knight and Mia is a knave.", "We have exhausted all possibilities for Mia and Liam, so let us go back and reconsider Aurora.", "Assume Aurora 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 Penelope is a knave if and only if Aurora is a knave.", "Assume Mia is a knight. No contradiction is found in their claim that Liam is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that Penelope is a knight or Aurora is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 2), ('lying', 1)), ('telling-truth', 3), ('not', ('telling-truth', 3)), ('<=>', ('lying', 0), ('lying', 2)), ('or', ('telling-truth', 0), ('lying', 2)))", "index": 966}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Sophia, Riley, Grace, Aiden, and Mason. Sophia asserted: \"Aiden is not a knave\". In a statement by Riley: \"Sophia is not a knight\". Grace noted, \"Sophia is a knave if and only if Riley is a knave\". \"Mason is a knave if and only if Riley is a knave,\" Aiden mentioned. Mason told you that Mason is a knight or Sophia is a knight. So who is a knight and who is a knave?", "names": ["Sophia", "Riley", "Grace", "Aiden", "Mason"], "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": "Sophia is a knave, Riley is a knight, Grace is a knave, Aiden is a knave, and Mason is a knave.", "solution_text_format": "(1) Sophia is a knave\n(2) Riley is a knight\n(3) Grace is a knave\n(4) Aiden is a knave\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 Sophia is a knight. No contradiction is found in their claim that Aiden is not a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that Mason is a knave if and only if Riley is a knave.", "Assume Mason is a knight. No contradiction is found in their claim that Mason is a knight or Sophia is a knight.", "Riley cannot be a knight, because this would contradict the claim of their own that Sophia is not a knight.", "Riley cannot be a knave, because this would contradict the claim of Aiden that Mason is a knave if and only if Riley is a knave.", "We have exhausted all possibilities for Riley, so let us go back and reconsider Mason.", "Mason cannot be a knave, because this would contradict the false claim of their own that Mason is a knight or Sophia is a knight.", "We have exhausted all possibilities for Mason, so let us go back and reconsider Aiden.", "Aiden cannot be a knave, because this would contradict the claim of Sophia that Aiden is not a knave.", "We have exhausted all possibilities for Aiden, so let us go back and reconsider Sophia.", "Assume Sophia is a knave. No contradiction is found in their false claim that Aiden is not a knave.", "Aiden cannot be a knight, because this would contradict the false claim of Sophia that Aiden is not a knave.", "Assume Aiden is a knave. No contradiction is found in their false claim that Mason is a knave if and only if Riley is a knave.", "Assume Mason is a knight. No contradiction is found in their claim that Mason is a knight or Sophia is a knight.", "Riley cannot be a knight, because this would contradict the false claim of Aiden that Mason is a knave if and only if Riley is a knave.", "Riley cannot be a knave, because this would contradict the false claim of their own that Sophia is not a knight.", "We have exhausted all possibilities for Riley, so let us go back and reconsider Mason.", "Assume Mason is a knave. No contradiction is found in their false claim that Mason is a knight or Sophia is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that Sophia is not a knight.", "Grace cannot be a knight, because this would contradict the claim of their own that Sophia is a knave if and only if Riley is a knave.", "Assume Grace is a knave. No contradiction is found in their false claim that Sophia is a knave if and only if Riley is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 3)), ('not', ('telling-truth', 0)), ('<=>', ('lying', 0), ('lying', 1)), ('<=>', ('lying', 4), ('lying', 1)), ('or', ('telling-truth', 4), ('telling-truth', 0)))", "index": 967}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: William, Mason, Owen, Daniel, and Jack. William expressed that If Mason is a knight then Daniel is a knight. \"If Daniel is a knight then William is a knight,\" Mason claimed. In a statement by Owen: \"Mason is a knave if and only if Daniel is a knight\". Daniel asserted: \"William is a knight if and only if Daniel is a knight\". Jack stated, \"Owen is a knave\". So who is a knight and who is a knave?", "names": ["William", "Mason", "Owen", "Daniel", "Jack"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true, true], "solution_text": "William is a knight, Mason is a knight, Owen is a knave, Daniel is a knight, and Jack is a knight.", "solution_text_format": "(1) William is a knight\n(2) Mason is a knight\n(3) Owen is a knave\n(4) Daniel 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 William is a knight. No contradiction is found in their claim that If Mason is a knight then Daniel is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that If Daniel is a knight then William is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that William is a knight if and only if Daniel is a knight.", "Owen cannot be a knight, because this would contradict the claim of their own that Mason is a knave if and only if Daniel is a knight.", "Assume Owen is a knave. No contradiction is found in their false claim that Mason is a knave if and only if Daniel is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that Owen is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 1), ('telling-truth', 3)), ('->', ('telling-truth', 3), ('telling-truth', 0)), ('<=>', ('lying', 1), ('telling-truth', 3)), ('<=>', ('telling-truth', 0), ('telling-truth', 3)), ('lying', 2))", "index": 968}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Liam, Ethan, Isabella, Elizabeth, and Amelia. Liam was heard saying, \"Ethan is not a knight\". Ethan commented, \"Isabella is a knave if and only if Elizabeth is a knight\". As Isabella put it, \"Elizabeth is not a knight\". Elizabeth told you that Ethan is not a knight. Amelia expressed that Ethan is not a knight. So who is a knight and who is a knave?", "names": ["Liam", "Ethan", "Isabella", "Elizabeth", "Amelia"], "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": "Liam is a knave, Ethan is a knight, Isabella is a knight, Elizabeth is a knave, and Amelia is a knave.", "solution_text_format": "(1) Liam is a knave\n(2) Ethan is a knight\n(3) Isabella is a knight\n(4) Elizabeth 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 Liam is a knight. No contradiction is found in their claim that Ethan is not a knight.", "Ethan cannot be a knight, because this would contradict the claim of Liam that Ethan is not a knight.", "Assume Ethan is a knave. No contradiction is found in their false claim that Isabella is a knave if and only if Elizabeth is a knight.", "Assume Isabella 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 Isabella that Elizabeth is not a knight.", "Elizabeth cannot be a knave, because this would contradict the false claim of Ethan that Isabella is a knave if and only if Elizabeth is a knight.", "We have exhausted all possibilities for Elizabeth, so let us go back and reconsider Isabella.", "Assume Isabella is a knave. No contradiction is found in their false claim that Elizabeth is not a knight.", "Elizabeth cannot be a knight, because this would contradict the false claim of Ethan that Isabella is a knave if and only if Elizabeth is a knight.", "Elizabeth cannot be a knave, because this would contradict the false claim of Isabella that Elizabeth is not a knight.", "We have exhausted all possibilities for Elizabeth, Isabella, and Ethan, so let us go back and reconsider Liam.", "Assume Liam is a knave. No contradiction is found in their false claim that Ethan is not a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that Isabella is a knave if and only if Elizabeth is a knight.", "Assume Isabella 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 Ethan that Isabella is a knave if and only if Elizabeth is a knight.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Ethan is not a knight.", "Amelia cannot be a knight, because this would contradict the claim of their own that Ethan is not a knight.", "Assume Amelia is a knave. No contradiction is found in their false claim that Ethan is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('<=>', ('lying', 2), ('telling-truth', 3)), ('not', ('telling-truth', 3)), ('not', ('telling-truth', 1)), ('not', ('telling-truth', 1)))", "index": 969}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Logan, Ava, Luke, Lily, and Victoria. \"Luke is a knave or Logan is a knight,\" Logan declared. According to Ava, \"If Ava is a knight then Victoria is a knave\". Luke remarked, \"Victoria is a knight if and only if Lily is a knight\". Lily was heard saying, \"Ava is a knight or Victoria is a knave\". Victoria stated, \"Lily is a knave\". So who is a knight and who is a knave?", "names": ["Logan", "Ava", "Luke", "Lily", "Victoria"], "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": "Logan is a knight, Ava is a knight, Luke is a knave, Lily is a knight, and Victoria is a knave.", "solution_text_format": "(1) Logan is a knight\n(2) Ava is a knight\n(3) Luke is a knave\n(4) Lily is a knight\n(5) Victoria is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Logan is a knight. No contradiction is found in their claim that Luke is a knave or Logan is a knight.", "Assume Luke is a knight. No contradiction is found in their claim that Victoria is a knight if and only if Lily is a knight.", "Assume Victoria 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 Victoria that Lily is a knave.", "Lily cannot be a knave, because this would contradict the claim of Luke that Victoria is a knight if and only if Lily is a knight.", "We have exhausted all possibilities for Lily, so let us go back and reconsider Victoria.", "Assume Victoria is a knave. No contradiction is found in their false claim that Lily is a knave.", "Lily cannot be a knight, because this would contradict the claim of Luke that Victoria is a knight if and only if Lily is a knight.", "Lily cannot be a knave, because this would contradict the false claim of their own that Ava is a knight or Victoria is a knave.", "We have exhausted all possibilities for Lily and Victoria, so let us go back and reconsider Luke.", "Assume Luke is a knave. No contradiction is found in their false claim that Victoria is a knight if and only if Lily is a knight.", "Assume Victoria 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 false claim of Luke that Victoria is a knight if and only if Lily is a knight.", "Assume Lily is a knave. No contradiction is found in their false claim that Ava is a knight or Victoria is a knave.", "Ava cannot be a knight, because this would contradict the claim of their own that If Ava is a knight then Victoria is a knave.", "Ava cannot be a knave, because this would contradict the false claim of their own that If Ava is a knight then Victoria is a knave.", "We have exhausted all possibilities for Ava and Lily, so let us go back and reconsider Victoria.", "Assume Victoria 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 Ava is a knight or Victoria is a knave.", "Assume Ava is a knight. No contradiction is found in their claim that If Ava is a knight then Victoria is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 2), ('telling-truth', 0)), ('->', ('telling-truth', 1), ('lying', 4)), ('<=>', ('telling-truth', 4), ('telling-truth', 3)), ('or', ('telling-truth', 1), ('lying', 4)), ('lying', 3))", "index": 970}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aria, Matthew, Aiden, Michael, and Owen. According to Aria, \"Aiden is a knight if and only if Owen is a knave\". Matthew stated, \"Aiden is not a knave\". \"If Owen is a knave then Aiden is a knight,\" Aiden mentioned. Michael told you that If Aria is a knight then Aria is a knave. Owen expressed that Aria is a knight. So who is a knight and who is a knave?", "names": ["Aria", "Matthew", "Aiden", "Michael", "Owen"], "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": "Aria is a knave, Matthew is a knave, Aiden is a knave, Michael is a knight, and Owen is a knave.", "solution_text_format": "(1) Aria is a knave\n(2) Matthew is a knave\n(3) Aiden is a knave\n(4) Michael is a knight\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 Aria is a knight. No contradiction is found in their claim that Aiden is a knight if and only if Owen is a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that If Owen is a knave then Aiden is a knight.", "Owen cannot be a knight, because this would contradict the claim of Aria that Aiden is a knight if and only if Owen is a knave.", "Owen cannot be a knave, because this would contradict the false claim of their own that Aria is a knight.", "We have exhausted all possibilities for Owen, so let us go back and reconsider Aiden.", "Assume Aiden is a knave. No contradiction is found in their false claim that If Owen is a knave then Aiden is a knight.", "Owen cannot be a knight, because this would contradict the false claim of Aiden that If Owen is a knave then Aiden is a knight.", "Owen cannot be a knave, because this would contradict the claim of Aria that Aiden is a knight if and only if Owen is a knave.", "We have exhausted all possibilities for Owen and Aiden, so let us go back and reconsider Aria.", "Assume Aria is a knave. No contradiction is found in their false claim that Aiden is a knight if and only if Owen is a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that If Owen is a knave then Aiden is a knight.", "Owen cannot be a knight, because this would contradict the claim of their own that Aria is a knight.", "Owen cannot be a knave, because this would contradict the false claim of Aria that Aiden is a knight if and only if Owen is a knave.", "We have exhausted all possibilities for Owen, so let us go back and reconsider Aiden.", "Assume Aiden is a knave. No contradiction is found in their false claim that If Owen is a knave then Aiden is a knight.", "Owen cannot be a knight, because this would contradict the false claim of Aria that Aiden is a knight if and only if Owen is a knave.", "Assume Owen is a knave. No contradiction is found in their false claim that Aria is a knight.", "Matthew cannot be a knight, because this would contradict the claim of their own that Aiden is not a knave.", "Assume Matthew is a knave. No contradiction is found in their false claim that Aiden is not a knave.", "Assume Michael is a knight. No contradiction is found in their claim that If Aria is a knight then Aria is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 2), ('lying', 4)), ('not', ('lying', 2)), ('->', ('lying', 4), ('telling-truth', 2)), ('->', ('telling-truth', 0), ('lying', 0)), ('telling-truth', 0))", "index": 971}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Liam, Samuel, Ella, Sebastian, and Joseph. Liam noted, \"Joseph is a knight or Ella is a knave\". Samuel expressed that If Sebastian is a knave then Joseph is a knave. Ella remarked, \"Samuel is a knave if and only if Joseph is a knave\". Sebastian expressed that Joseph is a knave and Joseph is a knight. Joseph commented, \"Ella is a knave or Sebastian is a knight\". So who is a knight and who is a knave?", "names": ["Liam", "Samuel", "Ella", "Sebastian", "Joseph"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false, true], "solution_text": "Liam is a knight, Samuel is a knave, Ella is a knave, Sebastian is a knave, and Joseph is a knight.", "solution_text_format": "(1) Liam is a knight\n(2) Samuel is a knave\n(3) Ella is a knave\n(4) Sebastian is a knave\n(5) Joseph is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Liam is a knight. No contradiction is found in their claim that Joseph is a knight or Ella is a knave.", "Assume Joseph is a knight. No contradiction is found in their claim that Ella is a knave or Sebastian is a knight.", "Assume Ella is a knight. No contradiction is found in their claim that Samuel is a knave if and only if Joseph is a knave.", "Assume Samuel is a knight. No contradiction is found in their claim that If Sebastian is a knave then Joseph is a knave.", "Sebastian cannot be a knight, because this would contradict the claim of their own that Joseph is a knave and Joseph is a knight.", "Sebastian cannot be a knave, because this would contradict the claim of Samuel that If Sebastian is a knave then Joseph is a knave.", "We have exhausted all possibilities for Sebastian, so let us go back and reconsider Samuel.", "Samuel cannot be a knave, because this would contradict the claim of Ella that Samuel is a knave if and only if Joseph is a knave.", "We have exhausted all possibilities for Samuel, so let us go back and reconsider Ella.", "Assume Ella is a knave. No contradiction is found in their false claim that Samuel is a knave if and only if Joseph is a knave.", "Samuel cannot be a knight, because this would contradict the false claim of Ella that Samuel is a knave if and only if Joseph is a knave.", "Assume Samuel is a knave. No contradiction is found in their false claim that If Sebastian is a knave then Joseph is a knave.", "Sebastian cannot be a knight, because this would contradict the false claim of Samuel that If Sebastian is a knave then Joseph is a knave.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Joseph is a knave and Joseph is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 4), ('lying', 2)), ('->', ('lying', 3), ('lying', 4)), ('<=>', ('lying', 1), ('lying', 4)), ('and', ('lying', 4), ('telling-truth', 4)), ('or', ('lying', 2), ('telling-truth', 3)))", "index": 972}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Sebastian, Penelope, Jack, Scarlett, and Charlotte. In Sebastian's words: \"If Scarlett is a knight then Scarlett is a knave\". According to Penelope, \"Jack is a knight\". \"Jack is a knight and Sebastian is a knight,\" Jack declared. In a statement by Scarlett: \"Jack is a knight\". Charlotte told you that Penelope is not a knave. So who is a knight and who is a knave?", "names": ["Sebastian", "Penelope", "Jack", "Scarlett", "Charlotte"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false, false], "solution_text": "Sebastian is a knight, Penelope is a knave, Jack is a knave, Scarlett is a knave, and Charlotte is a knave.", "solution_text_format": "(1) Sebastian is a knight\n(2) Penelope is a knave\n(3) Jack is a knave\n(4) Scarlett is a knave\n(5) 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 Sebastian is a knight. No contradiction is found in their claim that If Scarlett is a knight then Scarlett is a knave.", "Scarlett cannot be a knight, because this would contradict the claim of Sebastian that If Scarlett is a knight then Scarlett is a knave.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Jack is a knight.", "Jack cannot be a knight, because this would contradict the false claim of Scarlett that Jack is a knight.", "Assume Jack is a knave. No contradiction is found in their false claim that Jack is a knight and Sebastian is 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.", "Charlotte cannot be a knight, because this would contradict the claim of their own that Penelope is not a knave.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Penelope is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 3), ('lying', 3)), ('telling-truth', 2), ('and', ('telling-truth', 2), ('telling-truth', 0)), ('telling-truth', 2), ('not', ('lying', 1)))", "index": 973}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Avery, Sophia, Elizabeth, Harper, and Samuel. Avery remarked, \"Harper is a knight or Samuel is a knight\". Sophia was heard saying, \"Elizabeth is a knave or Harper is a knight\". Elizabeth was heard saying, \"Harper is a knight\". Harper noted, \"If Samuel is a knave then Harper is a knight\". Samuel commented, \"Harper is a knave\". So who is a knight and who is a knave?", "names": ["Avery", "Sophia", "Elizabeth", "Harper", "Samuel"], "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": "Avery is a knight, Sophia is a knight, Elizabeth is a knight, Harper is a knight, and Samuel is a knave.", "solution_text_format": "(1) Avery is a knight\n(2) Sophia is a knight\n(3) Elizabeth is a knight\n(4) Harper is a knight\n(5) Samuel is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Avery is a knight. No contradiction is found in their claim that Harper is a knight or Samuel is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that If Samuel is a knave then Harper is a knight.", "Samuel cannot be a knight, because this would contradict the claim of their own that Harper is a knave.", "Assume Samuel is a knave. No contradiction is found in their false claim that Harper is a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that Elizabeth is a knave or Harper is a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Harper is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 3), ('telling-truth', 4)), ('or', ('lying', 2), ('telling-truth', 3)), ('telling-truth', 3), ('->', ('lying', 4), ('telling-truth', 3)), ('lying', 3))", "index": 974}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: James, Ava, David, Lucas, and Ella. According to James, \"Lucas is a knight and Ava is a knave\". Ava told you that Ella is not a knave. \"Lucas is not a knave\" - David. Lucas remarked, \"James is not a knight\". \"David is a knight or James is a knight\" - Ella. So who is a knight and who is a knave?", "names": ["James", "Ava", "David", "Lucas", "Ella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, true], "solution_text": "James is a knave, Ava is a knight, David is a knight, Lucas is a knight, and Ella is a knight.", "solution_text_format": "(1) James is a knave\n(2) Ava is a knight\n(3) David is a knight\n(4) Lucas is a knight\n(5) Ella is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume James is a knight. No contradiction is found in their claim that Lucas is a knight and Ava is a knave.", "Lucas cannot be a knight, because this would contradict the claim of their own that James is not a knight.", "Lucas cannot be a knave, because this would contradict the claim of James that Lucas is a knight and Ava is a knave.", "We have exhausted all possibilities for Lucas, so let us go back and reconsider James.", "Assume James is a knave. No contradiction is found in their false claim that Lucas is a knight and Ava is a knave.", "Assume Lucas is a knight. No contradiction is found in their claim that James is not a knight.", "Assume Ava 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 David is a knight or James is a knight.", "Assume David is a knight. No contradiction is found in their claim that Lucas is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 3), ('lying', 1)), ('not', ('lying', 4)), ('not', ('lying', 3)), ('not', ('telling-truth', 0)), ('or', ('telling-truth', 2), ('telling-truth', 0)))", "index": 975}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Mia, Owen, Victoria, Isabella, and Chloe. Mia commented, \"Mia is a knight and Victoria is a knave\". Owen expressed that Chloe is a knave if and only if Isabella is a knave. Victoria noted, \"Owen is a knight and Isabella is a knave\". \"Owen is a knight and Owen is a knave,\" Isabella declared. Chloe noted, \"Isabella is not a knave\". So who is a knight and who is a knave?", "names": ["Mia", "Owen", "Victoria", "Isabella", "Chloe"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false, false], "solution_text": "Mia is a knave, Owen is a knight, Victoria is a knight, Isabella is a knave, and Chloe is a knave.", "solution_text_format": "(1) Mia is a knave\n(2) Owen is a knight\n(3) Victoria is a knight\n(4) Isabella is a knave\n(5) Chloe is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Mia is a knight. No contradiction is found in their claim that Mia is a knight and Victoria is a knave.", "Victoria cannot be a knight, because this would contradict the claim of Mia that Mia is a knight and Victoria is a knave.", "Assume Victoria is a knave. No contradiction is found in their false claim that Owen is a knight and Isabella is a knave.", "Assume Owen is a knight. No contradiction is found in their claim that Chloe is a knave if and only if Isabella is a knave.", "Assume Chloe is a knight. No contradiction is found in their claim that Isabella is not a knave.", "Isabella cannot be a knight, because this would contradict the claim of their own that Owen is a knight and Owen is a knave.", "Isabella cannot be a knave, because this would contradict the claim of Owen that Chloe is a knave if and only if Isabella is a knave.", "We have exhausted all possibilities for Isabella, so let us go back and reconsider Chloe.", "Assume Chloe is a knave. No contradiction is found in their false claim that Isabella is not a knave.", "Isabella cannot be a knight, because this would contradict the claim of Owen that Chloe is a knave if and only if Isabella is a knave.", "Isabella cannot be a knave, because this would contradict the false claim of Victoria that Owen is a knight and Isabella is a knave.", "We have exhausted all possibilities for Isabella and Chloe, so let us go back and reconsider Owen.", "Assume Owen 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 Chloe is a knight. No contradiction is found in their claim that Isabella is not a knave.", "Isabella cannot be a knight, because this would contradict the false claim of Owen that Chloe is a knave if and only if Isabella is a knave.", "Isabella cannot be a knave, because this would contradict the claim of Chloe that Isabella is not a knave.", "We have exhausted all possibilities for 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 not a knave.", "Isabella cannot be a knight, because this would contradict the claim of their own that Owen is a knight and Owen is a knave.", "Isabella cannot be a knave, because this would contradict the false claim of Owen that Chloe is a knave if and only if Isabella is a knave.", "We have exhausted all possibilities for Isabella, Chloe, Owen, and Victoria, 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 Victoria is a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that Owen is a knight and Isabella is a knave.", "Assume Owen is a knight. No contradiction is found in their claim that Chloe is a knave if and only if Isabella is a knave.", "Assume Chloe is a knight. No contradiction is found in their claim that Isabella is not a knave.", "Isabella cannot be a knight, because this would contradict the claim of Victoria that Owen is a knight and Isabella is a knave.", "Isabella cannot be a knave, because this would contradict the claim of Owen that Chloe is a knave if and only if Isabella is a knave.", "We have exhausted all possibilities for Isabella, so let us go back and reconsider Chloe.", "Assume Chloe is a knave. No contradiction is found in their false claim that Isabella is not a knave.", "Isabella cannot be a knight, because this would contradict the claim of Owen that Chloe is a knave if and only if Isabella is a knave.", "Assume Isabella is a knave. No contradiction is found in their false claim that Owen is a knight and Owen is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 0), ('lying', 2)), ('<=>', ('lying', 4), ('lying', 3)), ('and', ('telling-truth', 1), ('lying', 3)), ('and', ('telling-truth', 1), ('lying', 1)), ('not', ('lying', 3)))", "index": 976}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Ella, Noah, Owen, Emma, and Aiden. In a statement by Ella: \"Aiden is a knight if and only if Owen is a knave\". Noah said, \"Noah is a knight or Owen is a knave.\" Owen remarked, \"Noah is a knave if and only if Owen is a knight\". \"Owen is a knave,\" Emma declared. Aiden said that Emma is a knave if and only if Owen is a knave. So who is a knight and who is a knave?", "names": ["Ella", "Noah", "Owen", "Emma", "Aiden"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false, false], "solution_text": "Ella is a knight, Noah is a knave, Owen is a knight, Emma is a knave, and Aiden is a knave.", "solution_text_format": "(1) Ella is a knight\n(2) Noah is a knave\n(3) Owen is a knight\n(4) Emma is a knave\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 Ella is a knight. No contradiction is found in their claim that Aiden is a knight if and only if Owen is a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that Emma is a knave if and only if Owen is a knave.", "Assume Emma is a knight. No contradiction is found in their claim that Owen is a knave.", "Owen cannot be a knight, because this would contradict the claim of Ella that Aiden is a knight if and only if Owen is a knave.", "Owen cannot be a knave, because this would contradict the claim of Aiden that Emma is a knave if and only if Owen is a knave.", "We have exhausted all possibilities for Owen, so let us go back and reconsider Emma.", "Assume Emma is a knave. No contradiction is found in their false claim that Owen is a knave.", "Owen cannot be a knight, because this would contradict the claim of Ella that Aiden is a knight if and only if Owen is a knave.", "Owen cannot be a knave, because this would contradict the false claim of Emma that Owen is a knave.", "We have exhausted all possibilities for Owen and Emma, so let us go back and reconsider Aiden.", "Assume Aiden is a knave. No contradiction is found in their false claim that Emma is a knave if and only if Owen is a knave.", "Assume Emma is a knight. No contradiction is found in their claim that Owen is a knave.", "Owen cannot be a knight, because this would contradict the claim of Emma that Owen is a knave.", "Owen cannot be a knave, because this would contradict the claim of Ella that Aiden is a knight if and only if Owen is a knave.", "We have exhausted all possibilities for Owen, so let us go back and reconsider Emma.", "Assume Emma is a knave. No contradiction is found in their false claim that Owen is a knave.", "Assume Owen is a knight. No contradiction is found in their claim that Noah is a knave if and only if Owen is a knight.", "Noah cannot be a knight, because this would contradict the claim of Owen that Noah is a knave if and only if Owen is a knight.", "Assume Noah is a knave. No contradiction is found in their false claim that Noah is a knight or Owen is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 4), ('lying', 2)), ('or', ('telling-truth', 1), ('lying', 2)), ('<=>', ('lying', 1), ('telling-truth', 2)), ('lying', 2), ('<=>', ('lying', 3), ('lying', 2)))", "index": 977}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Victoria, Sebastian, Noah, Emma, and Alexander. Victoria commented, \"Alexander is a knave or Noah is a knave\". In Sebastian's words: \"Noah is a knight or Alexander is a knave\". In a statement by Noah: \"Victoria is a knight\". Emma said that Noah is not a knight. \"Sebastian is a knave,\" Alexander mentioned. So who is a knight and who is a knave?", "names": ["Victoria", "Sebastian", "Noah", "Emma", "Alexander"], "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": "Victoria is a knight, Sebastian is a knight, Noah is a knight, Emma is a knave, and Alexander is a knave.", "solution_text_format": "(1) Victoria is a knight\n(2) Sebastian is a knight\n(3) Noah is a knight\n(4) Emma 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 Victoria is a knight. No contradiction is found in their claim that Alexander is a knave or Noah is a knave.", "Assume Alexander 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 Alexander that Sebastian is a knave.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Noah is a knight or Alexander is a knave.", "Noah cannot be a knight, because this would contradict the claim of Victoria that Alexander is a knave or Noah is a knave.", "Noah cannot be a knave, because this would contradict the false claim of their own that Victoria is a knight.", "We have exhausted all possibilities for Noah and Sebastian, so let us go back and reconsider Alexander.", "Assume Alexander is a knave. No contradiction is found in their false claim that Sebastian is a knave.", "Assume Sebastian is a knight. No contradiction is found in their claim that Noah is a knight or Alexander is a knave.", "Assume Noah is a knight. No contradiction is found in their claim that Victoria is a knight.", "Emma cannot be a knight, because this would contradict the claim of their own that Noah is not a knight.", "Assume Emma is a knave. No contradiction is found in their false claim that Noah is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 4), ('lying', 2)), ('or', ('telling-truth', 2), ('lying', 4)), ('telling-truth', 0), ('not', ('telling-truth', 2)), ('lying', 1))", "index": 978}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Riley, Alexander, Joseph, Daniel, and Emma. Riley commented, \"Alexander is a knave or Emma is a knave\". According to Alexander, \"Joseph is a knave or Riley is a knight\". Joseph told you that Riley is a knave or Riley is a knight. As Daniel put it, \"Emma is not a knight\". In a statement by Emma: \"Riley is a knave if and only if Daniel is a knight\". So who is a knight and who is a knave?", "names": ["Riley", "Alexander", "Joseph", "Daniel", "Emma"], "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": "Riley is a knight, Alexander is a knight, Joseph is a knight, Daniel is a knight, and Emma is a knave.", "solution_text_format": "(1) Riley is a knight\n(2) Alexander is a knight\n(3) Joseph is a knight\n(4) Daniel 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 Riley is a knight. No contradiction is found in their claim that Alexander is a knave or Emma is a knave.", "Assume Alexander is a knight. No contradiction is found in their claim that Joseph is a knave or Riley is a knight.", "Assume Joseph is a knight. No contradiction is found in their claim that Riley is a knave or Riley is a knight.", "Emma cannot be a knight, because this would contradict the claim of Riley that Alexander is a knave or Emma is a knave.", "Assume Emma is a knave. No contradiction is found in their false claim that Riley is a knave if and only if Daniel is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that Emma is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('lying', 4)), ('or', ('lying', 2), ('telling-truth', 0)), ('or', ('lying', 0), ('telling-truth', 0)), ('not', ('telling-truth', 4)), ('<=>', ('lying', 0), ('telling-truth', 3)))", "index": 979}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Benjamin, Ethan, Ava, Lily, and Harper. \"Harper is not a knight,\" Benjamin declared. As Ethan put it, \"Benjamin is a knave\". Ava told you that Ethan is a knave and Lily is a knight. Lily told you that Harper is a knight if and only if Harper is a knave. Harper remarked, \"Ava is a knight and Lily is a knave\". So who is a knight and who is a knave?", "names": ["Benjamin", "Ethan", "Ava", "Lily", "Harper"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false, false], "solution_text": "Benjamin is a knight, Ethan is a knave, Ava is a knave, Lily is a knave, and Harper is a knave.", "solution_text_format": "(1) Benjamin is a knight\n(2) Ethan is a knave\n(3) Ava is a knave\n(4) Lily is a knave\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 Benjamin 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 Benjamin that Harper is not a knight.", "Assume Harper is a knave. No contradiction is found in their false claim that Ava is a knight and Lily is a knave.", "Assume Ava is a knight. No contradiction is found in their claim that Ethan is a knave and Lily is a knight.", "Ethan cannot be a knight, because this would contradict the claim of their own that Benjamin is a knave.", "Assume Ethan is a knave. No contradiction is found in their false claim that Benjamin is a knave.", "Lily cannot be a knight, because this would contradict the claim of their own that Harper is a knight if and only if Harper is a knave.", "Lily cannot be a knave, because this would contradict the claim of Ava that Ethan is a knave and Lily is a knight.", "We have exhausted all possibilities for Lily and Ethan, so let us go back and reconsider Ava.", "Assume Ava is a knave. No contradiction is found in their false claim that Ethan is a knave and Lily is a knight.", "Ethan cannot be a knight, because this would contradict the claim of their own that Benjamin is a knave.", "Assume Ethan is a knave. No contradiction is found in their false claim that Benjamin is a knave.", "Lily cannot be a knight, because this would contradict the false claim of Ava that Ethan is a knave and Lily is a knight.", "Assume Lily is a knave. No contradiction is found in their false claim that Harper is a knight if and only if Harper is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 4)), ('lying', 0), ('and', ('lying', 1), ('telling-truth', 3)), ('<=>', ('telling-truth', 4), ('lying', 4)), ('and', ('telling-truth', 2), ('lying', 3)))", "index": 980}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aiden, Luke, Joseph, Chloe, and Lucas. Aiden remarked, \"Luke is a knight\". \"Chloe is a knave if and only if Chloe is a knight,\" Luke mentioned. \"If Aiden is a knave then Luke is a knight\" - Joseph. In Chloe's words: \"Aiden is not a knight\". \"Aiden is a knave and Chloe is a knave,\" Lucas claimed. So who is a knight and who is a knave?", "names": ["Aiden", "Luke", "Joseph", "Chloe", "Lucas"], "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": "Aiden is a knave, Luke is a knave, Joseph is a knave, Chloe is a knight, and Lucas is a knave.", "solution_text_format": "(1) Aiden is a knave\n(2) Luke is a knave\n(3) Joseph is a knave\n(4) Chloe 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 Aiden is a knight. No contradiction is found in their claim that Luke is a knight.", "Luke cannot be a knight, because this would contradict the claim of their own that Chloe is a knave if and only if Chloe is a knight.", "Luke cannot be a knave, because this would contradict the claim of Aiden that Luke is a knight.", "We have exhausted all possibilities for Luke, so let us go back and reconsider Aiden.", "Assume Aiden is a knave. No contradiction is found in their false claim that Luke is a knight.", "Luke cannot be a knight, because this would contradict the false claim of Aiden that Luke is a knight.", "Assume Luke is a knave. No contradiction is found in their false claim that Chloe is a knave if and only if Chloe is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that Aiden is not a knight.", "Joseph cannot be a knight, because this would contradict the claim of their own that If Aiden is a knave then Luke is a knight.", "Assume Joseph is a knave. No contradiction is found in their false claim that If Aiden is a knave then Luke is a knight.", "Lucas cannot be a knight, because this would contradict the claim of their own that Aiden is a knave and Chloe is a knave.", "Assume Lucas is a knave. No contradiction is found in their false claim that Aiden is a knave and Chloe is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 1), ('<=>', ('lying', 3), ('telling-truth', 3)), ('->', ('lying', 0), ('telling-truth', 1)), ('not', ('telling-truth', 0)), ('and', ('lying', 0), ('lying', 3)))", "index": 981}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Luke, Avery, Michael, James, and Matthew. Luke said, \"Michael is a knight or James is a knave.\" Avery expressed that Luke is a knave and Matthew is a knight. Michael commented, \"Matthew is a knave\". James told you that Michael is a knave. \"Avery is a knave if and only if Matthew is a knight,\" Matthew claimed. So who is a knight and who is a knave?", "names": ["Luke", "Avery", "Michael", "James", "Matthew"], "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": "Luke is a knight, Avery is a knave, Michael is a knight, James is a knave, and Matthew is a knave.", "solution_text_format": "(1) Luke is a knight\n(2) Avery is a knave\n(3) Michael is a knight\n(4) James 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 Luke is a knight. No contradiction is found in their claim that Michael is a knight or James is a knave.", "Assume Michael 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 Michael that Matthew is a knave.", "Assume Matthew is a knave. No contradiction is found in their false claim that Avery is a knave if and only if Matthew is a knight.", "Avery cannot be a knight, because this would contradict the claim of their own that Luke is a knave and Matthew is a knight.", "Assume Avery is a knave. No contradiction is found in their false claim that Luke is a knave and Matthew is a knight.", "James cannot be a knight, because this would contradict the claim of their own that Michael is a knave.", "Assume James is a knave. No contradiction is found in their false claim that Michael is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 2), ('lying', 3)), ('and', ('lying', 0), ('telling-truth', 4)), ('lying', 4), ('lying', 2), ('<=>', ('lying', 1), ('telling-truth', 4)))", "index": 982}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Alexander, Avery, Amelia, Michael, and Ethan. Alexander expressed that Avery is a knight. Avery commented, \"Avery is a knight or Amelia is a knight\". Amelia expressed that Michael is a knave. Michael told you that Alexander is not a knave. As Ethan put it, \"Michael is not a knave\". So who is a knight and who is a knave?", "names": ["Alexander", "Avery", "Amelia", "Michael", "Ethan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true, true], "solution_text": "Alexander is a knight, Avery is a knight, Amelia is a knave, Michael is a knight, and Ethan is a knight.", "solution_text_format": "(1) Alexander is a knight\n(2) Avery is a knight\n(3) Amelia is a knave\n(4) Michael is a knight\n(5) 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 Alexander is a knight. No contradiction is found in their claim that Avery is a knight.", "Assume Avery is a knight. No contradiction is found in their claim that Avery is a knight or Amelia is a knight.", "Assume Amelia 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 Amelia that Michael is a knave.", "Michael cannot be a knave, because this would contradict the false claim of their own that Alexander is not a knave.", "We have exhausted all possibilities for Michael, so let us go back and reconsider Amelia.", "Assume Amelia is a knave. No contradiction is found in their false claim that Michael is a knave.", "Assume Michael is a knight. No contradiction is found in their claim that Alexander is not a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that Michael is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 1), ('or', ('telling-truth', 1), ('telling-truth', 2)), ('lying', 3), ('not', ('lying', 0)), ('not', ('lying', 3)))", "index": 983}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Liam, Benjamin, Victoria, Chloe, and James. Liam remarked, \"If Benjamin is a knave then Chloe is a knave\". In a statement by Benjamin: \"Chloe is a knave if and only if James is a knight\". As Victoria put it, \"Benjamin is a knave and Liam is a knight\". Chloe expressed that Benjamin is a knight. \"James is a knight if and only if Benjamin is a knave,\" James claimed. So who is a knight and who is a knave?", "names": ["Liam", "Benjamin", "Victoria", "Chloe", "James"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false, false], "solution_text": "Liam is a knight, Benjamin is a knave, Victoria is a knight, Chloe is a knave, and James is a knave.", "solution_text_format": "(1) Liam is a knight\n(2) Benjamin is a knave\n(3) Victoria is a knight\n(4) Chloe 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 Liam is a knight. No contradiction is found in their claim that If Benjamin is a knave then Chloe is a knave.", "Assume Benjamin is a knight. No contradiction is found in their claim that Chloe is a knave if and only if James is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that Benjamin is a knight.", "James cannot be a knight, because this would contradict the claim of Benjamin that Chloe is a knave if and only if James is a knight.", "James cannot be a knave, because this would contradict the false claim of their own that James is a knight if and only if Benjamin is a knave.", "We have exhausted all possibilities for James, so let us go back and reconsider Chloe.", "Chloe cannot be a knave, because this would contradict the false claim of their own that Benjamin is a knight.", "We have exhausted all possibilities for Chloe, so let us go back and reconsider Benjamin.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Chloe is a knave if and only if James is a knight.", "Chloe cannot be a knight, because this would contradict the claim of Liam that If Benjamin is a knave then Chloe is a knave.", "Assume Chloe is a knave. No contradiction is found in their false claim that Benjamin is a knight.", "James cannot be a knight, because this would contradict the false claim of Benjamin that Chloe is a knave if and only if James is a knight.", "Assume James is a knave. No contradiction is found in their false claim that James is a knight if and only if Benjamin is a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that Benjamin is a knave and Liam is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 1), ('lying', 3)), ('<=>', ('lying', 3), ('telling-truth', 4)), ('and', ('lying', 1), ('telling-truth', 0)), ('telling-truth', 1), ('<=>', ('telling-truth', 4), ('lying', 1)))", "index": 984}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Jack, Elizabeth, Scarlett, Emma, and Evelyn. Jack was heard saying, \"Jack is a knight or Emma is a knave\". According to Elizabeth, \"Evelyn is a knight if and only if Scarlett is a knave\". \"Evelyn is a knave or Elizabeth is a knight,\" Scarlett mentioned. Emma said, \"Scarlett is a knight.\" Evelyn remarked, \"Jack is not a knave\". So who is a knight and who is a knave?", "names": ["Jack", "Elizabeth", "Scarlett", "Emma", "Evelyn"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, false], "solution_text": "Jack is a knave, Elizabeth is a knight, Scarlett is a knight, Emma is a knight, and Evelyn is a knave.", "solution_text_format": "(1) Jack is a knave\n(2) Elizabeth is a knight\n(3) Scarlett is a knight\n(4) Emma is a knight\n(5) 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 Jack is a knight. No contradiction is found in their claim that Jack is a knight or Emma is a knave.", "Assume Emma 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 Evelyn is a knave or Elizabeth is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that Jack is not a knave.", "Elizabeth cannot be a knight, because this would contradict the claim of their own that Evelyn is a knight if and only if Scarlett is a knave.", "Elizabeth cannot be a knave, because this would contradict the claim of Scarlett that Evelyn is a knave or Elizabeth is a knight.", "We have exhausted all possibilities for Elizabeth, so let us go back and reconsider Evelyn.", "Evelyn cannot be a knave, because this would contradict the false claim of their own that Jack is not a knave.", "We have exhausted all possibilities for Evelyn, so let us go back and reconsider Scarlett.", "Scarlett cannot be a knave, because this would contradict the claim of Emma that Scarlett is a knight.", "We have exhausted all possibilities for Scarlett, so let us go back and reconsider Emma.", "Assume Emma is a knave. No contradiction is found in their false claim that Scarlett is a knight.", "Scarlett cannot be a knight, because this would contradict the false claim of Emma that Scarlett is a knight.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Evelyn is a knave or Elizabeth is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that Jack is not a knave.", "Elizabeth cannot be a knight, because this would contradict the false claim of Scarlett that Evelyn is a knave or Elizabeth is a knight.", "Elizabeth cannot be a knave, because this would contradict the false claim of their own that Evelyn is a knight if and only if Scarlett is a knave.", "We have exhausted all possibilities for Elizabeth, so let us go back and reconsider Evelyn.", "Evelyn cannot be a knave, because this would contradict the false claim of Scarlett that Evelyn is a knave or Elizabeth is a knight.", "We have exhausted all possibilities for Evelyn, Scarlett, and Emma, so let us go back and reconsider Jack.", "Assume Jack is a knave. No contradiction is found in their false claim that Jack is a knight or Emma is a knave.", "Assume Emma 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 Evelyn is a knave or Elizabeth is a knight.", "Evelyn cannot be a knight, because this would contradict the claim of their own that Jack is not a knave.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Jack is not a knave.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Evelyn is a knight if and only if Scarlett is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 0), ('lying', 3)), ('<=>', ('telling-truth', 4), ('lying', 2)), ('or', ('lying', 4), ('telling-truth', 1)), ('telling-truth', 2), ('not', ('lying', 0)))", "index": 985}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Logan, Victoria, Harper, Lily, and Noah. Logan was heard saying, \"Harper is a knave or Harper is a knight\". Victoria said, \"Harper is not a knave.\" In a statement by Harper: \"Noah is a knight and Logan is a knight\". Lily expressed that Harper is a knave. Noah told you that Harper is a knave and Logan is a knave. So who is a knight and who is a knave?", "names": ["Logan", "Victoria", "Harper", "Lily", "Noah"], "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": "Logan is a knight, Victoria is a knave, Harper is a knave, Lily is a knight, and Noah is a knave.", "solution_text_format": "(1) Logan is a knight\n(2) Victoria is a knave\n(3) Harper is a knave\n(4) Lily is a knight\n(5) Noah is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Logan is a knight. No contradiction is found in their claim that Harper is a knave or Harper is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that Noah is a knight and Logan is a knight.", "Noah cannot be a knight, because this would contradict the claim of their own that Harper is a knave and Logan is a knave.", "Noah cannot be a knave, because this would contradict the claim of Harper that Noah is a knight and Logan is a knight.", "We have exhausted all possibilities for Noah, so let us go back and reconsider Harper.", "Assume Harper is a knave. No contradiction is found in their false claim that Noah is a knight and Logan is a knight.", "Noah cannot be a knight, because this would contradict the false claim of Harper that Noah is a knight and Logan is a knight.", "Assume Noah is a knave. No contradiction is found in their false claim that Harper is a knave and Logan is a knave.", "Victoria cannot be a knight, because this would contradict the claim of their own that Harper is not a knave.", "Assume Victoria is a knave. No contradiction is found in their false claim that Harper is not a knave.", "Assume Lily is a knight. No contradiction is found in their claim that Harper is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 2), ('telling-truth', 2)), ('not', ('lying', 2)), ('and', ('telling-truth', 4), ('telling-truth', 0)), ('lying', 2), ('and', ('lying', 2), ('lying', 0)))", "index": 986}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Zoey, Emma, Victoria, Logan, and Luke. Zoey commented, \"Logan is a knave if and only if Victoria is a knave\". Emma stated, \"Zoey is a knight or Victoria is a knave\". Victoria expressed that Emma is not a knight. Logan asserted: \"Zoey is not a knave\". Luke said that If Zoey is a knight then Luke is a knight. So who is a knight and who is a knave?", "names": ["Zoey", "Emma", "Victoria", "Logan", "Luke"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false, true], "solution_text": "Zoey is a knave, Emma is a knave, Victoria is a knight, Logan is a knave, and Luke is a knight.", "solution_text_format": "(1) Zoey is a knave\n(2) Emma is a knave\n(3) Victoria is a knight\n(4) Logan 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 Zoey is a knight. No contradiction is found in their claim that Logan is a knave if and only if Victoria is a knave.", "Assume Logan is a knight. No contradiction is found in their claim that Zoey is not a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that Emma is not a knight.", "Emma cannot be a knight, because this would contradict the claim of Victoria that Emma is not a knight.", "Emma cannot be a knave, because this would contradict the false claim of their own that Zoey is a knight or Victoria is a knave.", "We have exhausted all possibilities for Emma, so let us go back and reconsider Victoria.", "Victoria cannot be a knave, because this would contradict the claim of Zoey that Logan is a knave if and only if Victoria is a knave.", "We have exhausted all possibilities for Victoria, so let us go back and reconsider Logan.", "Logan 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 Logan, so let us go back and reconsider Zoey.", "Assume Zoey is a knave. No contradiction is found in their false claim that Logan is a knave if and only if Victoria is a knave.", "Logan cannot be a knight, because this would contradict the claim of their own that Zoey is not a knave.", "Assume Logan is a knave. No contradiction is found in their false claim that Zoey is not a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that Emma is not a knight.", "Emma cannot be a knight, because this would contradict the claim of their own that Zoey is a knight or Victoria is a knave.", "Assume Emma is a knave. No contradiction is found in their false claim that Zoey is a knight or Victoria is a knave.", "Assume Luke is a knight. No contradiction is found in their claim that If Zoey is a knight then Luke is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 3), ('lying', 2)), ('or', ('telling-truth', 0), ('lying', 2)), ('not', ('telling-truth', 1)), ('not', ('lying', 0)), ('->', ('telling-truth', 0), ('telling-truth', 4)))", "index": 987}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Benjamin, Harper, Lucas, Zoey, and Riley. \"Lucas is a knight if and only if Zoey is a knave,\" Benjamin claimed. Harper was heard saying, \"Lucas is a knave or Riley is a knave\". \"If Riley is a knight then Harper is a knight\" - Lucas. Zoey remarked, \"Lucas is a knave\". In Riley's words: \"If Harper is a knight then Riley is a knight\". So who is a knight and who is a knave?", "names": ["Benjamin", "Harper", "Lucas", "Zoey", "Riley"], "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": "Benjamin is a knight, Harper is a knight, Lucas is a knight, Zoey is a knave, and Riley is a knave.", "solution_text_format": "(1) Benjamin is a knight\n(2) Harper is a knight\n(3) Lucas is a knight\n(4) Zoey 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 Benjamin is a knight. No contradiction is found in their claim that Lucas is a knight if and only if Zoey is a knave.", "Assume Lucas is a knight. No contradiction is found in their claim that If Riley is a knight then Harper is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that If Harper is a knight then Riley is a knight.", "Harper cannot be a knight, because this would contradict the claim of their own that Lucas is a knave or Riley is a knave.", "Harper cannot be a knave, because this would contradict the claim of Lucas that If Riley is a knight then Harper is a knight.", "We have exhausted all possibilities for Harper, so let us go back and reconsider Riley.", "Assume Riley is a knave. No contradiction is found in their false claim that If Harper is a knight then Riley is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that Lucas is a knave or Riley is a knave.", "Zoey cannot be a knight, because this would contradict the claim of Benjamin that Lucas is a knight if and only if Zoey is a knave.", "Assume Zoey is a knave. No contradiction is found in their false claim that Lucas is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 2), ('lying', 3)), ('or', ('lying', 2), ('lying', 4)), ('->', ('telling-truth', 4), ('telling-truth', 1)), ('lying', 2), ('->', ('telling-truth', 1), ('telling-truth', 4)))", "index": 988}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Mia, Jack, Ella, Michael, and Lily. Mia told you that Ella is a knight or Lily is a knave. As Jack put it, \"Michael is a knight and Ella is a knight\". Ella said, \"Mia is not a knight.\" In a statement by Michael: \"Jack is a knave or Ella is a knave\". Lily remarked, \"Mia is a knight if and only if Michael is a knave\". So who is a knight and who is a knave?", "names": ["Mia", "Jack", "Ella", "Michael", "Lily"], "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": "Mia is a knight, Jack is a knave, Ella is a knave, Michael is a knight, and Lily is a knave.", "solution_text_format": "(1) Mia is a knight\n(2) Jack is a knave\n(3) Ella is a knave\n(4) Michael 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 Mia is a knight. No contradiction is found in their claim that Ella is a knight or Lily is a knave.", "Ella cannot be a knight, because this would contradict the claim of their own that Mia is not a knight.", "Assume Ella is a knave. No contradiction is found in their false claim that Mia is not a knight.", "Lily cannot be a knight, because this would contradict the claim of Mia that Ella is a knight or Lily is a knave.", "Assume Lily is a knave. No contradiction is found in their false claim that Mia is a knight if and only if Michael is a knave.", "Assume Michael is a knight. No contradiction is found in their claim that Jack is a knave or Ella is a knave.", "Jack cannot be a knight, because this would contradict the claim of their own that Michael is a knight and Ella is a knight.", "Assume Jack is a knave. No contradiction is found in their false claim that Michael is a knight and Ella is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 2), ('lying', 4)), ('and', ('telling-truth', 3), ('telling-truth', 2)), ('not', ('telling-truth', 0)), ('or', ('lying', 1), ('lying', 2)), ('<=>', ('telling-truth', 0), ('lying', 3)))", "index": 989}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Samuel, Jack, Sophia, Riley, and Emma. \"Sophia is a knight if and only if Sophia is a knave,\" Samuel mentioned. Jack was heard saying, \"Riley is a knave or Emma is a knave\". Sophia asserted: \"Samuel is a knight if and only if Emma is a knave\". \"If Jack is a knight then Samuel is a knave,\" Riley claimed. Emma said, \"Jack is a knave and Sophia is a knave.\" So who is a knight and who is a knave?", "names": ["Samuel", "Jack", "Sophia", "Riley", "Emma"], "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": "Samuel is a knave, Jack is a knight, Sophia is a knave, Riley is a knight, and Emma is a knave.", "solution_text_format": "(1) Samuel is a knave\n(2) Jack is a knight\n(3) Sophia is a knave\n(4) Riley 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": ["Samuel 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 Samuel is a knave. No contradiction is found in their false claim that Sophia is a knight if and only if Sophia is a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that Samuel is a knight if and only if Emma is a knave.", "Emma cannot be a knight, because this would contradict the claim of their own that Jack is a knave and Sophia is a knave.", "Emma cannot be a knave, because this would contradict the claim of Sophia that Samuel is a knight if and only if Emma is a knave.", "We have exhausted all possibilities for Emma, so let us go back and reconsider Sophia.", "Assume Sophia is a knave. No contradiction is found in their false claim that Samuel is a knight if and only if Emma is a knave.", "Emma cannot be a knight, because this would contradict the false claim of Sophia that Samuel is a knight if and only if Emma is a knave.", "Assume Emma is a knave. No contradiction is found in their false claim that Jack is a knave and Sophia is a knave.", "Assume Jack is a knight. No contradiction is found in their claim that Riley is a knave or Emma is a knave.", "Assume Riley is a knight. No contradiction is found in their claim that If Jack is a knight then Samuel is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 2), ('lying', 2)), ('or', ('lying', 3), ('lying', 4)), ('<=>', ('telling-truth', 0), ('lying', 4)), ('->', ('telling-truth', 1), ('lying', 0)), ('and', ('lying', 1), ('lying', 2)))", "index": 990}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Noah, Chloe, James, Penelope, and Sofia. Noah commented, \"James is not a knight\". In Chloe's words: \"Penelope is a knave or Sofia is a knave\". James asserted: \"Penelope is a knave\". As Penelope put it, \"Chloe is a knight or James is a knight\". Sofia expressed that Sofia is a knight and Noah is a knight. So who is a knight and who is a knave?", "names": ["Noah", "Chloe", "James", "Penelope", "Sofia"], "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": "Noah is a knight, Chloe is a knight, James is a knave, Penelope is a knight, and Sofia is a knave.", "solution_text_format": "(1) Noah is a knight\n(2) Chloe is a knight\n(3) James is a knave\n(4) Penelope is a knight\n(5) Sofia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Noah is a knight. No contradiction is found in their claim that James is not a knight.", "James cannot be a knight, because this would contradict the claim of Noah that James is not a knight.", "Assume James is a knave. No contradiction is found in their false claim that Penelope is a knave.", "Assume Penelope is a knight. No contradiction is found in their claim that Chloe is a knight or James is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that Penelope is a knave or Sofia is a knave.", "Sofia cannot be a knight, because this would contradict the claim of Chloe that Penelope is a knave or Sofia is a knave.", "Assume Sofia is a knave. No contradiction is found in their false claim that Sofia is a knight and Noah is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 2)), ('or', ('lying', 3), ('lying', 4)), ('lying', 3), ('or', ('telling-truth', 1), ('telling-truth', 2)), ('and', ('telling-truth', 4), ('telling-truth', 0)))", "index": 991}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Chloe, Elizabeth, Abigail, Ethan, and Samuel. Chloe expressed that Ethan is a knave or Samuel is a knight. Elizabeth was heard saying, \"Chloe is a knave if and only if Abigail is a knave\". \"Abigail is a knight or Elizabeth is a knight,\" Abigail mentioned. Ethan said that If Samuel is a knave then Abigail is a knave. \"Abigail is not a knave,\" Samuel mentioned. So who is a knight and who is a knave?", "names": ["Chloe", "Elizabeth", "Abigail", "Ethan", "Samuel"], "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": "Chloe is a knight, Elizabeth is a knight, Abigail is a knight, Ethan is a knight, and Samuel is a knight.", "solution_text_format": "(1) Chloe is a knight\n(2) Elizabeth is a knight\n(3) Abigail is a knight\n(4) Ethan is a knight\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 Chloe is a knight. No contradiction is found in their claim that Ethan is a knave or Samuel is a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that If Samuel is a knave then Abigail is a knave.", "Assume Samuel 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 Abigail is a knight or Elizabeth is a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Chloe is a knave if and only if Abigail is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 3), ('telling-truth', 4)), ('<=>', ('lying', 0), ('lying', 2)), ('or', ('telling-truth', 2), ('telling-truth', 1)), ('->', ('lying', 4), ('lying', 2)), ('not', ('lying', 2)))", "index": 992}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Chloe, Luke, Sofia, Sebastian, and Ella. In Chloe's words: \"Sebastian is a knight and Luke is a knight\". Luke said that Chloe is a knight. In Sofia's words: \"If Ella is a knave then Chloe is a knight\". \"Sofia is a knight,\" Sebastian mentioned. Ella told you that Sebastian is not a knight. So who is a knight and who is a knave?", "names": ["Chloe", "Luke", "Sofia", "Sebastian", "Ella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, false], "solution_text": "Chloe is a knight, Luke is a knight, Sofia is a knight, Sebastian is a knight, and Ella is a knave.", "solution_text_format": "(1) Chloe is a knight\n(2) Luke is a knight\n(3) Sofia is a knight\n(4) Sebastian is a knight\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 Chloe is a knight. No contradiction is found in their claim that Sebastian is a knight and Luke is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Sofia is a knight.", "Assume Sofia is a knight. No contradiction is found in their claim that If Ella is a knave then Chloe is a knight.", "Ella cannot be a knight, because this would contradict the claim of their own that Sebastian is not a knight.", "Assume Ella is a knave. No contradiction is found in their false claim that Sebastian is not a knight.", "Assume Luke is a knight. No contradiction is found in their claim that Chloe is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 3), ('telling-truth', 1)), ('telling-truth', 0), ('->', ('lying', 4), ('telling-truth', 0)), ('telling-truth', 2), ('not', ('telling-truth', 3)))", "index": 993}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Jack, Owen, Evelyn, Lily, and Chloe. Jack asserted: \"Owen is a knave or Owen is a knight\". Owen commented, \"If Chloe is a knave then Evelyn is a knave\". Evelyn asserted: \"Jack is a knave\". Lily said that Evelyn is a knave. \"Evelyn is a knight,\" Chloe claimed. So who is a knight and who is a knave?", "names": ["Jack", "Owen", "Evelyn", "Lily", "Chloe"], "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": "Jack is a knight, Owen is a knight, Evelyn is a knave, Lily is a knight, and Chloe is a knave.", "solution_text_format": "(1) Jack is a knight\n(2) Owen is a knight\n(3) Evelyn is a knave\n(4) Lily is a knight\n(5) Chloe is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jack is a knight. No contradiction is found in their claim that Owen is a knave or Owen is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that If Chloe is a knave then Evelyn is a knave.", "Assume Chloe is a knight. No contradiction is found in their claim that Evelyn is a knight.", "Evelyn cannot be a knight, because this would contradict the claim of their own that Jack is a knave.", "Evelyn cannot be a knave, because this would contradict the claim of Chloe that Evelyn is a knight.", "We have exhausted all possibilities for Evelyn, so let us go back and reconsider Chloe.", "Assume Chloe is a knave. No contradiction is found in their false claim that Evelyn is a knight.", "Evelyn cannot be a knight, because this would contradict the claim of Owen that If Chloe is a knave then Evelyn is a knave.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Jack is a knave.", "Assume Lily is a knight. No contradiction is found in their claim that Evelyn is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('telling-truth', 1)), ('->', ('lying', 4), ('lying', 2)), ('lying', 0), ('lying', 2), ('telling-truth', 2))", "index": 994}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Avery, Sofia, Chloe, Noah, and Emma. \"If Chloe is a knave then Chloe is a knight,\" Avery declared. \"Chloe is a knight if and only if Avery is a knave,\" Sofia declared. Chloe expressed that Sofia is a knave or Chloe is a knight. As Noah put it, \"Sofia is a knight and Chloe is a knight\". In a statement by Emma: \"Chloe is a knight\". So who is a knight and who is a knave?", "names": ["Avery", "Sofia", "Chloe", "Noah", "Emma"], "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": "Avery is a knight, Sofia is a knave, Chloe is a knight, Noah is a knave, and Emma is a knight.", "solution_text_format": "(1) Avery is a knight\n(2) Sofia is a knave\n(3) Chloe is a knight\n(4) Noah is a knave\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 Avery is a knight. No contradiction is found in their claim that If Chloe is a knave then Chloe is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that Sofia is a knave or Chloe is a knight.", "Sofia cannot be a knight, because this would contradict the claim of their own that Chloe is a knight if and only if Avery is a knave.", "Assume Sofia is a knave. No contradiction is found in their false claim that Chloe is a knight if and only if Avery is a knave.", "Noah cannot be a knight, because this would contradict the claim of their own that Sofia is a knight and Chloe is a knight.", "Assume Noah is a knave. No contradiction is found in their false claim that Sofia is a knight and Chloe is a knight.", "Assume Emma is a knight. No contradiction is found in their claim that Chloe is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 2), ('telling-truth', 2)), ('<=>', ('telling-truth', 2), ('lying', 0)), ('or', ('lying', 1), ('telling-truth', 2)), ('and', ('telling-truth', 1), ('telling-truth', 2)), ('telling-truth', 2))", "index": 995}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Luke, Riley, Ava, Benjamin, and Ella. In a statement by Luke: \"If Riley is a knave then Benjamin is a knave\". Riley commented, \"Benjamin is a knight\". Ava stated, \"Benjamin is a knight or Luke is a knave\". Benjamin stated, \"Riley is a knave and Riley is a knight\". Ella asserted: \"Benjamin is not a knave\". So who is a knight and who is a knave?", "names": ["Luke", "Riley", "Ava", "Benjamin", "Ella"], "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": "Luke is a knight, Riley is a knave, Ava is a knave, Benjamin is a knave, and Ella is a knave.", "solution_text_format": "(1) Luke is a knight\n(2) Riley is a knave\n(3) Ava is a knave\n(4) Benjamin 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 Luke is a knight. No contradiction is found in their claim that If Riley is a knave then Benjamin is a knave.", "Assume Riley is a knight. No contradiction is found in their claim that Benjamin is a knight.", "Benjamin cannot be a knight, because this would contradict the claim of their own that Riley is a knave and Riley is a knight.", "Benjamin cannot be a knave, because this would contradict the claim of Riley that Benjamin is a knight.", "We have exhausted all possibilities for Benjamin, so let us go back and reconsider Riley.", "Assume Riley is a knave. No contradiction is found in their false claim that Benjamin is a knight.", "Benjamin cannot be a knight, because this would contradict the claim of Luke that If Riley is a knave then Benjamin is a knave.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Riley is a knave and Riley is a knight.", "Ava cannot be a knight, because this would contradict the claim of their own that Benjamin is a knight or Luke is a knave.", "Assume Ava is a knave. No contradiction is found in their false claim that Benjamin is a knight or Luke is a knave.", "Ella cannot be a knight, because this would contradict the claim of their own that Benjamin is not a knave.", "Assume Ella is a knave. No contradiction is found in their false claim that Benjamin is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 1), ('lying', 3)), ('telling-truth', 3), ('or', ('telling-truth', 3), ('lying', 0)), ('and', ('lying', 1), ('telling-truth', 1)), ('not', ('lying', 3)))", "index": 996}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Daniel, Aria, Luke, Oliver, and Zoey. Daniel told you that Oliver is a knave if and only if Luke is a knave. \"Zoey is a knight,\" Aria claimed. \"If Daniel is a knave then Oliver is a knave\" - Luke. Oliver said that Daniel is a knave. Zoey commented, \"Luke is a knight if and only if Luke is a knave\". So who is a knight and who is a knave?", "names": ["Daniel", "Aria", "Luke", "Oliver", "Zoey"], "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": "Daniel is a knave, Aria is a knave, Luke is a knave, Oliver is a knight, and Zoey is a knave.", "solution_text_format": "(1) Daniel is a knave\n(2) Aria is a knave\n(3) Luke is a knave\n(4) Oliver is a knight\n(5) Zoey is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Daniel is a knight. No contradiction is found in their claim that Oliver is a knave if and only if Luke is a knave.", "Oliver cannot be a knight, because this would contradict the claim of their own that Daniel is a knave.", "Assume Oliver is a knave. No contradiction is found in their false claim that Daniel is a knave.", "Luke cannot be a knight, because this would contradict the claim of Daniel that Oliver is a knave if and only if Luke is a knave.", "Luke cannot be a knave, because this would contradict the false claim of their own that If Daniel is a knave then Oliver is a knave.", "We have exhausted all possibilities for Luke and Oliver, so let us go back and reconsider Daniel.", "Assume Daniel is a knave. No contradiction is found in their false claim that Oliver is a knave if and only if Luke is a knave.", "Assume Oliver is a knight. No contradiction is found in their claim that Daniel is a knave.", "Luke cannot be a knight, because this would contradict the false claim of Daniel that Oliver is a knave if and only if Luke is a knave.", "Assume Luke is a knave. No contradiction is found in their false claim that If Daniel is a knave then Oliver is a knave.", "Assume Aria is a knight. No contradiction is found in their claim that Zoey is a knight.", "Zoey cannot be a knight, because this would contradict the claim of their own that Luke is a knight if and only if Luke is a knave.", "Zoey cannot be a knave, because this would contradict the claim of Aria that Zoey is a knight.", "We have exhausted all possibilities for Zoey, so let us go back and reconsider Aria.", "Assume Aria is a knave. No contradiction is found in their false claim that Zoey is a knight.", "Zoey cannot be a knight, because this would contradict the false claim of Aria that Zoey is a knight.", "Assume Zoey is a knave. No contradiction is found in their false claim that Luke is a knight if and only if Luke is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 3), ('lying', 2)), ('telling-truth', 4), ('->', ('lying', 0), ('lying', 3)), ('lying', 0), ('<=>', ('telling-truth', 2), ('lying', 2)))", "index": 997}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Lily, Liam, Jack, Owen, and Aiden. Lily stated, \"Aiden is a knave\". Liam stated, \"Jack is not a knave\". According to Jack, \"Lily is a knight and Aiden is a knave\". Owen was heard saying, \"Aiden is a knight or Aiden is a knave\". \"Owen is a knave and Aiden is a knight,\" Aiden claimed. So who is a knight and who is a knave?", "names": ["Lily", "Liam", "Jack", "Owen", "Aiden"], "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": "Lily is a knight, Liam is a knight, Jack is a knight, Owen is a knight, and Aiden is a knave.", "solution_text_format": "(1) Lily is a knight\n(2) Liam is a knight\n(3) Jack is a knight\n(4) Owen 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 Lily 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 Lily that Aiden is a knave.", "Assume Aiden is a knave. No contradiction is found in their false claim that Owen is a knave and Aiden is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that Aiden is a knight or Aiden is a knave.", "Assume Liam 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 Lily is a knight and Aiden is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 4), ('not', ('lying', 2)), ('and', ('telling-truth', 0), ('lying', 4)), ('or', ('telling-truth', 4), ('lying', 4)), ('and', ('lying', 3), ('telling-truth', 4)))", "index": 998}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Lucas, Amelia, Michael, Emily, and Ethan. In a statement by Lucas: \"If Amelia is a knight then Michael is a knave\". \"Ethan is a knave if and only if Ethan is a knight,\" Amelia claimed. \"Lucas is not a knave,\" Michael declared. Emily expressed that Ethan is a knight if and only if Michael is a knave. Ethan noted, \"Lucas is a knave if and only if Michael is a knight\". So who is a knight and who is a knave?", "names": ["Lucas", "Amelia", "Michael", "Emily", "Ethan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, false], "solution_text": "Lucas is a knight, Amelia is a knave, Michael is a knight, Emily is a knight, and Ethan is a knave.", "solution_text_format": "(1) Lucas is a knight\n(2) Amelia is a knave\n(3) Michael is a knight\n(4) Emily 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 Lucas is a knight. No contradiction is found in their claim that If Amelia is a knight then Michael is a knave.", "Amelia cannot be a knight, because this would contradict the claim of their own that Ethan is a knave if and only if Ethan is a knight.", "Assume Amelia is a knave. No contradiction is found in their false claim that Ethan is a knave if and only if Ethan is a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that Lucas is a knave if and only if Michael is a knight.", "Michael cannot be a knight, because this would contradict the claim of Ethan that Lucas is a knave if and only if Michael is a knight.", "Michael cannot be a knave, because this would contradict the false claim of their own that Lucas is not a knave.", "We have exhausted all possibilities for Michael, so let us go back and reconsider Ethan.", "Assume Ethan is a knave. No contradiction is found in their false claim that Lucas is a knave if and only if Michael is a knight.", "Assume Michael is a knight. No contradiction is found in their claim that Lucas is not a knave.", "Assume Emily is a knight. No contradiction is found in their claim that Ethan is a knight if and only if Michael is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 1), ('lying', 2)), ('<=>', ('lying', 4), ('telling-truth', 4)), ('not', ('lying', 0)), ('<=>', ('telling-truth', 4), ('lying', 2)), ('<=>', ('lying', 0), ('telling-truth', 2)))", "index": 999}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Ella, Zoey, Scarlett, Henry, and Amelia. Ella expressed that Zoey is a knight or Zoey is a knave. In a statement by Zoey: \"Scarlett is a knave\". Scarlett commented, \"Ella is a knave or Amelia is a knave\". \"Scarlett is a knight or Amelia is a knight,\" Henry declared. According to Amelia, \"Henry is a knave\". So who is a knight and who is a knave?", "names": ["Ella", "Zoey", "Scarlett", "Henry", "Amelia"], "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": "Ella is a knight, Zoey is a knave, Scarlett is a knight, Henry is a knight, and Amelia is a knave.", "solution_text_format": "(1) Ella is a knight\n(2) Zoey is a knave\n(3) Scarlett is a knight\n(4) Henry is a knight\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 Ella is a knight. No contradiction is found in their claim that Zoey is a knight or Zoey is a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that Scarlett is a knave.", "Scarlett cannot be a knight, because this would contradict the claim of Zoey that Scarlett is a knave.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Ella is a knave or Amelia is a knave.", "Assume Amelia is a knight. No contradiction is found in their claim that Henry is a knave.", "Henry cannot be a knight, because this would contradict the claim of Amelia that Henry is a knave.", "Henry cannot be a knave, because this would contradict the false claim of their own that Scarlett is a knight or Amelia is a knight.", "We have exhausted all possibilities for Henry, so let us go back and reconsider Amelia.", "Amelia cannot be a knave, because this would contradict the false claim of Scarlett that Ella is a knave or Amelia is a knave.", "We have exhausted all possibilities for Amelia and Scarlett, so let us go back and reconsider Zoey.", "Assume Zoey is a knave. No contradiction is found in their false claim that Scarlett is a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that Ella is a knave or Amelia is a knave.", "Amelia cannot be a knight, because this would contradict the claim of Scarlett that Ella is a knave or Amelia is a knave.", "Assume Amelia is a knave. No contradiction is found in their false claim that Henry is a knave.", "Assume Henry is a knight. No contradiction is found in their claim that Scarlett is a knight or Amelia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 1), ('lying', 1)), ('lying', 2), ('or', ('lying', 0), ('lying', 4)), ('or', ('telling-truth', 2), ('telling-truth', 4)), ('lying', 3))", "index": 1000}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Grace, Abigail, Michael, Chloe, and Henry. \"Michael is a knight and Chloe is a knave,\" Grace mentioned. Abigail commented, \"Chloe is a knave or Chloe is a knight\". Michael asserted: \"Michael is a knight and Abigail is a knave\". \"Henry is a knight if and only if Abigail is a knave,\" Chloe claimed. Henry stated, \"Abigail is a knight\". So who is a knight and who is a knave?", "names": ["Grace", "Abigail", "Michael", "Chloe", "Henry"], "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": "Grace is a knave, Abigail is a knight, Michael is a knave, Chloe is a knave, and Henry is a knight.", "solution_text_format": "(1) Grace is a knave\n(2) Abigail is a knight\n(3) Michael is a knave\n(4) Chloe is a knave\n(5) Henry is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Grace is a knight. No contradiction is found in their claim that Michael is a knight and Chloe is a knave.", "Assume Michael is a knight. No contradiction is found in their claim that Michael is a knight and Abigail is a knave.", "Abigail cannot be a knight, because this would contradict the claim of Michael that Michael is a knight and Abigail is a knave.", "Abigail cannot be a knave, because this would contradict the false claim of their own that Chloe is a knave or Chloe is a knight.", "We have exhausted all possibilities for Abigail, so let us go back and reconsider Michael.", "Michael cannot be a knave, because this would contradict the claim of Grace that Michael is a knight and Chloe is a knave.", "We have exhausted all possibilities for Michael, so let us go back and reconsider Grace.", "Assume Grace is a knave. No contradiction is found in their false claim that Michael is a knight and Chloe is a knave.", "Assume Michael is a knight. No contradiction is found in their claim that Michael is a knight and Abigail is a knave.", "Abigail cannot be a knight, because this would contradict the claim of Michael that Michael is a knight and Abigail is a knave.", "Abigail cannot be a knave, because this would contradict the false claim of their own that Chloe is a knave or Chloe is a knight.", "We have exhausted all possibilities for Abigail, so let us go back and reconsider Michael.", "Assume Michael is a knave. No contradiction is found in their false claim that Michael is a knight and Abigail is a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that Chloe is a knave or Chloe is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that Henry is a knight if and only if Abigail is a knave.", "Henry cannot be a knight, because this would contradict the claim of Chloe that Henry is a knight if and only if Abigail is a knave.", "Henry cannot be a knave, because this would contradict the false claim of their own that Abigail is a knight.", "We have exhausted all possibilities for Henry, so let us go back and reconsider Chloe.", "Assume Chloe is a knave. No contradiction is found in their false claim that Henry is a knight if and only if Abigail is a knave.", "Assume Henry is a knight. No contradiction is found in their claim that Abigail is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 2), ('lying', 3)), ('or', ('lying', 3), ('telling-truth', 3)), ('and', ('telling-truth', 2), ('lying', 1)), ('<=>', ('telling-truth', 4), ('lying', 1)), ('telling-truth', 1))", "index": 1001}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aiden, William, Evelyn, Jackson, and Ava. \"If William is a knave then Evelyn is a knight\" - Aiden. William remarked, \"Aiden is a knight and Ava is a knight\". As Evelyn put it, \"Ava is a knave and Aiden is a knave\". Jackson commented, \"Evelyn is not a knight\". According to Ava, \"William is a knave\". So who is a knight and who is a knave?", "names": ["Aiden", "William", "Evelyn", "Jackson", "Ava"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true, true], "solution_text": "Aiden is a knave, William is a knave, Evelyn is a knave, Jackson is a knight, and Ava is a knight.", "solution_text_format": "(1) Aiden is a knave\n(2) William is a knave\n(3) Evelyn is a knave\n(4) Jackson 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 Aiden is a knight. No contradiction is found in their claim that If William is a knave then Evelyn is a knight.", "Assume William is a knight. No contradiction is found in their claim that Aiden is a knight and Ava is a knight.", "Ava cannot be a knight, because this would contradict the claim of their own that William is a knave.", "Ava cannot be a knave, because this would contradict the claim of William that Aiden is a knight and Ava is a knight.", "We have exhausted all possibilities for Ava, so let us go back and reconsider William.", "Assume William is a knave. No contradiction is found in their false claim that Aiden is a knight and Ava is a knight.", "Ava cannot be a knight, because this would contradict the false claim of William that Aiden is a knight and Ava is a knight.", "Ava cannot be a knave, because this would contradict the false claim of their own that William is a knave.", "We have exhausted all possibilities for Ava and William, so let us go back and reconsider Aiden.", "Assume Aiden is a knave. No contradiction is found in their false claim that If William is a knave then Evelyn is a knight.", "William cannot be a knight, because this would contradict the false claim of Aiden that If William is a knave then Evelyn is a knight.", "Assume William is a knave. No contradiction is found in their false claim that Aiden is a knight and Ava is a knight.", "Assume Ava is a knight. No contradiction is found in their claim that William is a knave.", "Evelyn cannot be a knight, because this would contradict the false claim of Aiden that If William is a knave then Evelyn is a knight.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Ava is a knave and Aiden is a knave.", "Assume Jackson is a knight. No contradiction is found in their claim that Evelyn is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 1), ('telling-truth', 2)), ('and', ('telling-truth', 0), ('telling-truth', 4)), ('and', ('lying', 4), ('lying', 0)), ('not', ('telling-truth', 2)), ('lying', 1))", "index": 1002}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Sofia, Grace, Jackson, Owen, and Emily. Sofia asserted: \"Jackson is a knight and Sofia is a knight\". Grace was heard saying, \"Jackson is a knave\". \"Sofia is a knave\" - Jackson. In Owen's words: \"Owen is a knight or Sofia is a knave\". Emily asserted: \"Grace is a knight if and only if Owen is a knave\". So who is a knight and who is a knave?", "names": ["Sofia", "Grace", "Jackson", "Owen", "Emily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true, true], "solution_text": "Sofia is a knave, Grace is a knave, Jackson is a knight, Owen is a knight, and Emily is a knight.", "solution_text_format": "(1) Sofia is a knave\n(2) Grace is a knave\n(3) Jackson is a knight\n(4) Owen is a knight\n(5) Emily is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sofia is a knight. No contradiction is found in their claim that Jackson is a knight and Sofia is a knight.", "Jackson cannot be a knight, because this would contradict the claim of their own that Sofia is a knave.", "Jackson cannot be a knave, because this would contradict the claim of Sofia that Jackson is a knight and Sofia is a knight.", "We have exhausted all possibilities for Jackson, so let us go back and reconsider Sofia.", "Assume Sofia is a knave. No contradiction is found in their false claim that Jackson is a knight and Sofia is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that Sofia is a knave.", "Grace cannot be a knight, because this would contradict the claim of their own that Jackson is a knave.", "Assume Grace is a knave. No contradiction is found in their false claim that Jackson is a knave.", "Assume Owen is a knight. No contradiction is found in their claim that Owen is a knight or Sofia is a knave.", "Assume Emily is a knight. No contradiction is found in their claim that Grace is a knight if and only if Owen is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 2), ('telling-truth', 0)), ('lying', 2), ('lying', 0), ('or', ('telling-truth', 3), ('lying', 0)), ('<=>', ('telling-truth', 1), ('lying', 3)))", "index": 1003}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Logan, Sebastian, Emily, James, and Alexander. In Logan's words: \"Logan is a knight\". In a statement by Sebastian: \"Logan is a knight\". According to Emily, \"If Alexander is a knight then Sebastian is a knight\". James remarked, \"Alexander is a knight if and only if James is a knight\". Alexander said, \"James is a knight and Logan is a knight.\" So who is a knight and who is a knave?", "names": ["Logan", "Sebastian", "Emily", "James", "Alexander"], "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": "Logan is a knight, Sebastian is a knight, Emily is a knight, James is a knight, and Alexander is a knight.", "solution_text_format": "(1) Logan is a knight\n(2) Sebastian is a knight\n(3) Emily is a knight\n(4) James is a knight\n(5) 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 Logan is a knight. No contradiction is found in their claim that Logan is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Logan is a knight.", "Assume Emily is a knight. No contradiction is found in their claim that If Alexander is a knight then Sebastian is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that James is a knight and Logan is a knight.", "Assume James is a knight. No contradiction is found in their claim that Alexander is a knight if and only if James is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 0), ('telling-truth', 0), ('->', ('telling-truth', 4), ('telling-truth', 1)), ('<=>', ('telling-truth', 4), ('telling-truth', 3)), ('and', ('telling-truth', 3), ('telling-truth', 0)))", "index": 1004}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aiden, Aurora, Victoria, Samuel, and Scarlett. In Aiden's words: \"Aiden is a knight\". Aurora stated, \"Victoria is not a knight\". \"If Scarlett is a knight then Scarlett is a knave,\" Victoria mentioned. Samuel said that If Victoria is a knave then Aurora is a knave. Scarlett commented, \"Aurora is a knave and Aiden is a knight\". So who is a knight and who is a knave?", "names": ["Aiden", "Aurora", "Victoria", "Samuel", "Scarlett"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true, false], "solution_text": "Aiden is a knave, Aurora is a knave, Victoria is a knight, Samuel is a knight, and Scarlett is a knave.", "solution_text_format": "(1) Aiden is a knave\n(2) Aurora is a knave\n(3) Victoria is a knight\n(4) Samuel 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 Aiden is a knight. No contradiction is found in their claim that Aiden is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that Victoria is not a knight.", "Victoria cannot be a knight, because this would contradict the claim of Aurora that Victoria is not a knight.", "Assume Victoria is a knave. No contradiction is found in their false claim that If Scarlett is a knight then Scarlett is a knave.", "Scarlett cannot be a knight, because this would contradict the claim of their own that Aurora is a knave and Aiden is a knight.", "Scarlett cannot be a knave, because this would contradict the false claim of Victoria that If Scarlett is a knight then Scarlett is a knave.", "We have exhausted all possibilities for Scarlett and Victoria, so let us go back and reconsider Aurora.", "Assume Aurora is a knave. No contradiction is found in their false claim that Victoria is not a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that If Scarlett is a knight then Scarlett is a knave.", "Scarlett cannot be a knight, because this would contradict the claim of Victoria that If Scarlett is a knight then Scarlett is a knave.", "Scarlett cannot be a knave, because this would contradict the false claim of their own that Aurora is a knave and Aiden is a knight.", "We have exhausted all possibilities for Scarlett, so let us go back and reconsider Victoria.", "Victoria cannot be a knave, because this would contradict the false claim of Aurora that Victoria is not a knight.", "We have exhausted all possibilities for Victoria and Aurora, so let us go back and reconsider Aiden.", "Assume Aiden is a knave. No contradiction is found in their false claim that Aiden is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that Victoria is not a knight.", "Victoria cannot be a knight, because this would contradict the claim of Aurora that Victoria is not a knight.", "Assume Victoria is a knave. No contradiction is found in their false claim that If Scarlett is a knight then Scarlett is a knave.", "Scarlett cannot be a knight, because this would contradict the claim of their own that Aurora is a knave and Aiden is a knight.", "Scarlett cannot be a knave, because this would contradict the false claim of Victoria that If Scarlett is a knight then Scarlett is a knave.", "We have exhausted all possibilities for Scarlett and Victoria, so let us go back and reconsider Aurora.", "Assume Aurora is a knave. No contradiction is found in their false claim that Victoria is not a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that If Scarlett is a knight then Scarlett is a knave.", "Scarlett cannot be a knight, because this would contradict the claim of Victoria that If Scarlett is a knight then Scarlett is a knave.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Aurora is a knave and Aiden is a knight.", "Assume Samuel is a knight. No contradiction is found in their claim that If Victoria is a knave then Aurora is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 0), ('not', ('telling-truth', 2)), ('->', ('telling-truth', 4), ('lying', 4)), ('->', ('lying', 2), ('lying', 1)), ('and', ('lying', 1), ('telling-truth', 0)))", "index": 1005}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Owen, Liam, Emily, Abigail, and Aurora. \"Liam is a knave or Abigail is a knave,\" Owen declared. \"Owen is a knight and Liam is a knight,\" Liam declared. In a statement by Emily: \"Owen is a knight or Liam is a knight\". As Abigail put it, \"If Owen is a knave then Emily is a knight\". Aurora told you that If Emily is a knight then Liam is a knave. So who is a knight and who is a knave?", "names": ["Owen", "Liam", "Emily", "Abigail", "Aurora"], "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": "Owen is a knight, Liam is a knave, Emily is a knight, Abigail is a knight, and Aurora is a knight.", "solution_text_format": "(1) Owen is a knight\n(2) Liam is a knave\n(3) Emily is a knight\n(4) Abigail 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 Owen is a knight. No contradiction is found in their claim that Liam is a knave or Abigail is a knave.", "Assume Liam is a knight. No contradiction is found in their claim that Owen is a knight and Liam is a knight.", "Abigail cannot be a knight, because this would contradict the claim of Owen that Liam is a knave or Abigail is a knave.", "Abigail cannot be a knave, because this would contradict the false claim of their own that If Owen is a knave then Emily is a knight.", "We have exhausted all possibilities for Abigail, so let us go back and reconsider Liam.", "Assume Liam is a knave. No contradiction is found in their false claim that Owen is a knight and Liam is a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that If Owen is a knave then Emily is a knight.", "Assume Emily is a knight. No contradiction is found in their claim that Owen is a knight or Liam is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that If Emily is a knight then Liam is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('lying', 3)), ('and', ('telling-truth', 0), ('telling-truth', 1)), ('or', ('telling-truth', 0), ('telling-truth', 1)), ('->', ('lying', 0), ('telling-truth', 2)), ('->', ('telling-truth', 2), ('lying', 1)))", "index": 1006}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Samuel, Mason, Grace, David, and Zoey. Samuel asserted: \"Zoey is not a knight\". In a statement by Mason: \"Zoey is a knave if and only if David is a knight\". Grace expressed that Samuel is a knight. \"Samuel is not a knave\" - David. Zoey said that If David is a knight then Samuel is a knight. So who is a knight and who is a knave?", "names": ["Samuel", "Mason", "Grace", "David", "Zoey"], "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": "Samuel is a knave, Mason is a knight, Grace is a knave, David is a knave, and Zoey is a knight.", "solution_text_format": "(1) Samuel is a knave\n(2) Mason is a knight\n(3) Grace is a knave\n(4) David 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 Samuel is a knight. No contradiction is found in their claim that Zoey is not a knight.", "Zoey cannot be a knight, because this would contradict the claim of Samuel that Zoey is not a knight.", "Zoey cannot be a knave, because this would contradict the false claim of their own that If David is a knight then Samuel is a knight.", "We have exhausted all possibilities for Zoey, so let us go back and reconsider Samuel.", "Assume Samuel is a knave. No contradiction is found in their false claim that Zoey is not a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that If David is a knight then Samuel is a knight.", "David cannot be a knight, because this would contradict the claim of their own that Samuel is not a knave.", "Assume David is a knave. No contradiction is found in their false claim that Samuel is not a knave.", "Assume Mason is a knight. No contradiction is found in their claim that Zoey is a knave if and only if David is a knight.", "Grace cannot be a knight, because this would contradict the claim of their own that Samuel is a knight.", "Assume Grace is a knave. No contradiction is found in their false claim that Samuel is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 4)), ('<=>', ('lying', 4), ('telling-truth', 3)), ('telling-truth', 0), ('not', ('lying', 0)), ('->', ('telling-truth', 3), ('telling-truth', 0)))", "index": 1007}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aria, Riley, Victoria, Ava, and Scarlett. \"If Victoria is a knight then Scarlett is a knight,\" Aria mentioned. In Riley's words: \"Aria is a knave\". Victoria stated, \"Ava is not a knight\". \"Aria is a knave or Riley is a knight,\" Ava declared. As Scarlett put it, \"If Ava is a knight then Aria is a knave\". So who is a knight and who is a knave?", "names": ["Aria", "Riley", "Victoria", "Ava", "Scarlett"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false, true], "solution_text": "Aria is a knight, Riley is a knave, Victoria is a knight, Ava is a knave, and Scarlett is a knight.", "solution_text_format": "(1) Aria is a knight\n(2) Riley is a knave\n(3) Victoria is a knight\n(4) Ava 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 Aria is a knight. No contradiction is found in their claim that If Victoria is a knight then Scarlett is a knight.", "Assume Victoria 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 Victoria that Ava is not a knight.", "Assume Ava is a knave. No contradiction is found in their false claim that Aria is a knave or Riley is a knight.", "Riley cannot be a knight, because this would contradict the claim of their own that Aria is a knave.", "Assume Riley is a knave. No contradiction is found in their false claim that Aria is a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that If Ava is a knight then Aria is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 2), ('telling-truth', 4)), ('lying', 0), ('not', ('telling-truth', 3)), ('or', ('lying', 0), ('telling-truth', 1)), ('->', ('telling-truth', 3), ('lying', 0)))", "index": 1008}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Evelyn, Oliver, Scarlett, Ella, and Sebastian. \"Scarlett is a knave or Scarlett is a knight,\" Evelyn mentioned. As Oliver put it, \"Ella is a knight\". According to Scarlett, \"Sebastian is a knight or Ella is a knight\". According to Ella, \"Oliver is a knight if and only if Ella is a knight\". Sebastian asserted: \"Scarlett is a knight if and only if Oliver is a knight\". So who is a knight and who is a knave?", "names": ["Evelyn", "Oliver", "Scarlett", "Ella", "Sebastian"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, true], "solution_text": "Evelyn is a knight, Oliver is a knight, Scarlett is a knight, Ella is a knight, and Sebastian is a knight.", "solution_text_format": "(1) Evelyn is a knight\n(2) Oliver is a knight\n(3) Scarlett is a knight\n(4) Ella is a knight\n(5) Sebastian is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Evelyn is a knight. No contradiction is found in their claim that Scarlett is a knave or Scarlett is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that Sebastian is a knight or Ella is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Scarlett is a knight if and only if Oliver is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that Ella is a knight.", "Assume Ella is a knight. No contradiction is found in their claim that Oliver is a knight if and only if Ella is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 2), ('telling-truth', 2)), ('telling-truth', 3), ('or', ('telling-truth', 4), ('telling-truth', 3)), ('<=>', ('telling-truth', 1), ('telling-truth', 3)), ('<=>', ('telling-truth', 2), ('telling-truth', 1)))", "index": 1009}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Lily, Amelia, Henry, David, and Sofia. Lily said that David is a knave. In a statement by Amelia: \"Sofia is not a knight\". Henry told you that Sofia is a knave. In a statement by David: \"Lily is a knave if and only if Henry is a knight\". In a statement by Sofia: \"Lily is not a knight\". So who is a knight and who is a knave?", "names": ["Lily", "Amelia", "Henry", "David", "Sofia"], "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": "Lily is a knight, Amelia is a knight, Henry is a knight, David is a knave, and Sofia is a knave.", "solution_text_format": "(1) Lily is a knight\n(2) Amelia is a knight\n(3) Henry is a knight\n(4) David is a knave\n(5) Sofia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Lily 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 Lily that David is a knave.", "Assume David is a knave. No contradiction is found in their false claim that Lily is a knave if and only if Henry is a knight.", "Assume Henry 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 Henry that Sofia is a knave.", "Assume Sofia is a knave. No contradiction is found in their false claim that Lily is not a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that Sofia is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 3), ('not', ('telling-truth', 4)), ('lying', 4), ('<=>', ('lying', 0), ('telling-truth', 2)), ('not', ('telling-truth', 0)))", "index": 1010}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Emily, Ella, Scarlett, Luke, and Zoey. As Emily put it, \"If Luke is a knave then Emily is a knight\". \"If Luke is a knight then Scarlett is a knight,\" Ella mentioned. Scarlett expressed that Emily is a knave. As Luke put it, \"If Scarlett is a knight then Zoey is a knight\". According to Zoey, \"Luke is a knight if and only if Scarlett is a knave\". So who is a knight and who is a knave?", "names": ["Emily", "Ella", "Scarlett", "Luke", "Zoey"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, true], "solution_text": "Emily is a knight, Ella is a knave, Scarlett is a knave, Luke is a knight, and Zoey is a knight.", "solution_text_format": "(1) Emily is a knight\n(2) Ella is a knave\n(3) Scarlett is a knave\n(4) Luke is a knight\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 Emily is a knight. No contradiction is found in their claim that If Luke is a knave then Emily is a knight.", "Assume Luke is a knight. No contradiction is found in their claim that If Scarlett is a knight then Zoey is a knight.", "Scarlett cannot be a knight, because this would contradict the claim of their own that Emily is a knave.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Emily is a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that Luke is a knight if and only if Scarlett is a knave.", "Ella cannot be a knight, because this would contradict the claim of their own that If Luke is a knight then Scarlett is a knight.", "Assume Ella is a knave. No contradiction is found in their false claim that If Luke is a knight then Scarlett is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 3), ('telling-truth', 0)), ('->', ('telling-truth', 3), ('telling-truth', 2)), ('lying', 0), ('->', ('telling-truth', 2), ('telling-truth', 4)), ('<=>', ('telling-truth', 3), ('lying', 2)))", "index": 1011}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: David, Emma, Oliver, Ethan, and Henry. David asserted: \"David is a knight if and only if Emma is a knave\". \"David is a knave\" - Emma. According to Oliver, \"David is a knave or Henry is a knight\". Ethan was heard saying, \"Oliver is a knave\". As Henry put it, \"Emma is a knight\". So who is a knight and who is a knave?", "names": ["David", "Emma", "Oliver", "Ethan", "Henry"], "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, Emma is a knave, Oliver is a knave, Ethan is a knight, and Henry is a knave.", "solution_text_format": "(1) David is a knight\n(2) Emma is a knave\n(3) Oliver is a knave\n(4) Ethan is a knight\n(5) Henry is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume David is a knight. No contradiction is found in their claim that David is a knight if and only if Emma is a knave.", "Emma cannot be a knight, because this would contradict the claim of David that David is a knight if and only if Emma is a knave.", "Assume Emma is a knave. No contradiction is found in their false claim that David is a knave.", "Assume Oliver is a knight. No contradiction is found in their claim that David is a knave or Henry is a knight.", "Henry cannot be a knight, because this would contradict the claim of their own that Emma is a knight.", "Henry cannot be a knave, because this would contradict the claim of Oliver that David is a knave or Henry is a knight.", "We have exhausted all possibilities for Henry, so let us go back and reconsider Oliver.", "Assume Oliver is a knave. No contradiction is found in their false claim that David is a knave or Henry is a knight.", "Henry cannot be a knight, because this would contradict the false claim of Oliver that David is a knave or Henry is a knight.", "Assume Henry is a knave. No contradiction is found in their false claim that Emma is a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that Oliver is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 0), ('lying', 1)), ('lying', 0), ('or', ('lying', 0), ('telling-truth', 4)), ('lying', 2), ('telling-truth', 1))", "index": 1012}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Victoria, Mia, Sebastian, Ethan, and Olivia. \"Mia is a knave and Ethan is a knave\" - Victoria. Mia said that If Mia is a knight then Sebastian is a knave. Sebastian expressed that Victoria is a knave if and only if Ethan is a knave. Ethan remarked, \"Sebastian is a knight or Victoria is a knave\". \"Sebastian is a knight and Sebastian is a knave\" - Olivia. So who is a knight and who is a knave?", "names": ["Victoria", "Mia", "Sebastian", "Ethan", "Olivia"], "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": "Victoria is a knave, Mia is a knight, Sebastian is a knave, Ethan is a knight, and Olivia is a knave.", "solution_text_format": "(1) Victoria is a knave\n(2) Mia is a knight\n(3) Sebastian is a knave\n(4) Ethan 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 Victoria is a knight. No contradiction is found in their claim that Mia is a knave and Ethan is a knave.", "Mia cannot be a knight, because this would contradict the claim of Victoria that Mia is a knave and Ethan is a knave.", "Mia cannot be a knave, because this would contradict the false claim of their own that If Mia is a knight then Sebastian is a knave.", "We have exhausted all possibilities for Mia, so let us go back and reconsider Victoria.", "Assume Victoria is a knave. No contradiction is found in their false claim that Mia is a knave and Ethan is a knave.", "Assume Mia is a knight. No contradiction is found in their claim that If Mia is a knight then Sebastian is a knave.", "Sebastian cannot be a knight, because this would contradict the claim of Mia that If Mia is a knight then Sebastian is a knave.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Victoria is a knave if and only if Ethan is a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that Sebastian is a knight or Victoria is a knave.", "Olivia cannot be a knight, because this would contradict the claim of their own that Sebastian is a knight and Sebastian is a knave.", "Assume Olivia is a knave. No contradiction is found in their false claim that Sebastian is a knight and Sebastian is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('lying', 3)), ('->', ('telling-truth', 1), ('lying', 2)), ('<=>', ('lying', 0), ('lying', 3)), ('or', ('telling-truth', 2), ('lying', 0)), ('and', ('telling-truth', 2), ('lying', 2)))", "index": 1013}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Harper, Sofia, Evelyn, Aurora, and Charlotte. Harper stated, \"Aurora is a knight\". Sofia remarked, \"Evelyn is a knight\". In Evelyn's words: \"Charlotte is a knave if and only if Charlotte is a knight\". \"Charlotte is a knave and Charlotte is a knight,\" Aurora declared. Charlotte expressed that Aurora is a knave or Sofia is a knave. So who is a knight and who is a knave?", "names": ["Harper", "Sofia", "Evelyn", "Aurora", "Charlotte"], "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": "Harper is a knave, Sofia is a knave, Evelyn is a knave, Aurora is a knave, and Charlotte is a knight.", "solution_text_format": "(1) Harper is a knave\n(2) Sofia is a knave\n(3) Evelyn is a knave\n(4) Aurora 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 Harper is a knight. No contradiction is found in their claim that Aurora is a knight.", "Aurora cannot be a knight, because this would contradict the claim of their own that Charlotte is a knave and Charlotte is a knight.", "Aurora cannot be a knave, because this would contradict the claim of Harper that Aurora is a knight.", "We have exhausted all possibilities for Aurora, so let us go back and reconsider Harper.", "Assume Harper is a knave. No contradiction is found in their false claim that Aurora is a knight.", "Aurora cannot be a knight, because this would contradict the false claim of Harper that Aurora is a knight.", "Assume Aurora is a knave. No contradiction is found in their false claim that Charlotte is a knave and Charlotte is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that Aurora is a knave or Sofia is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that Evelyn is a knight.", "Evelyn cannot be a knight, because this would contradict the claim of their own that Charlotte is a knave if and only if Charlotte is a knight.", "Evelyn cannot be a knave, because this would contradict the claim of Sofia that Evelyn is a knight.", "We have exhausted all possibilities for Evelyn, so let us go back and reconsider Sofia.", "Assume Sofia is a knave. No contradiction is found in their false claim that Evelyn is a knight.", "Evelyn cannot be a knight, because this would contradict the false claim of Sofia that Evelyn is a knight.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Charlotte is a knave if and only if Charlotte is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 3), ('telling-truth', 2), ('<=>', ('lying', 4), ('telling-truth', 4)), ('and', ('lying', 4), ('telling-truth', 4)), ('or', ('lying', 3), ('lying', 1)))", "index": 1014}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Sofia, Jack, Grace, Jacob, and Jackson. Sofia told you that Jackson is a knave and Grace is a knave. Jack expressed that Sofia is a knave and Jacob is a knight. Grace remarked, \"Jackson is a knave if and only if Jack is a knight\". \"Sofia is a knave or Jack is a knave,\" Jacob declared. \"Grace is a knave and Jack is a knave\" - Jackson. So who is a knight and who is a knave?", "names": ["Sofia", "Jack", "Grace", "Jacob", "Jackson"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, false], "solution_text": "Sofia is a knave, Jack is a knight, Grace is a knight, Jacob is a knight, and Jackson is a knave.", "solution_text_format": "(1) Sofia is a knave\n(2) Jack is a knight\n(3) Grace is a knight\n(4) Jacob is a knight\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 Sofia is a knight. No contradiction is found in their claim that Jackson is a knave and Grace is a knave.", "Jackson cannot be a knight, because this would contradict the claim of Sofia that Jackson is a knave and Grace is a knave.", "Assume Jackson is a knave. No contradiction is found in their false claim that Grace is a knave and Jack is a knave.", "Grace cannot be a knight, because this would contradict the claim of Sofia that Jackson is a knave and Grace is a knave.", "Assume Grace is a knave. No contradiction is found in their false claim that Jackson is a knave if and only if Jack is a knight.", "Jack cannot be a knight, because this would contradict the claim of their own that Sofia is a knave and Jacob is a knight.", "Jack cannot be a knave, because this would contradict the false claim of Jackson that Grace is a knave and Jack is a knave.", "We have exhausted all possibilities for Jack, Grace, and Jackson, so let us go back and reconsider Sofia.", "Assume Sofia is a knave. No contradiction is found in their false claim that Jackson is a knave and Grace is a knave.", "Assume Jackson is a knight. No contradiction is found in their claim that Grace is a knave and Jack is a knave.", "Grace cannot be a knight, because this would contradict the claim of Jackson that Grace is a knave and Jack is a knave.", "Assume Grace is a knave. No contradiction is found in their false claim that Jackson is a knave if and only if Jack is a knight.", "Jack cannot be a knight, because this would contradict the claim of Jackson that Grace is a knave and Jack is a knave.", "Jack cannot be a knave, because this would contradict the false claim of Grace that Jackson is a knave if and only if Jack is a knight.", "We have exhausted all possibilities for Jack and Grace, so let us go back and reconsider Jackson.", "Assume Jackson is a knave. No contradiction is found in their false claim that Grace is a knave and Jack is a knave.", "Assume Grace is a knight. No contradiction is found in their claim that Jackson is a knave if and only if Jack is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that Sofia is a knave and Jacob is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that Sofia is a knave or Jack is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 4), ('lying', 2)), ('and', ('lying', 0), ('telling-truth', 3)), ('<=>', ('lying', 4), ('telling-truth', 1)), ('or', ('lying', 0), ('lying', 1)), ('and', ('lying', 2), ('lying', 1)))", "index": 1015}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Michael, Riley, Emily, Logan, and Evelyn. \"If Evelyn is a knave then Evelyn is a knight\" - Michael. \"Emily is not a knave,\" Riley declared. Emily commented, \"Logan is a knave or Logan is a knight\". Logan commented, \"Michael is not a knight\". In a statement by Evelyn: \"Logan is a knave if and only if Logan is a knight\". So who is a knight and who is a knave?", "names": ["Michael", "Riley", "Emily", "Logan", "Evelyn"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, false], "solution_text": "Michael is a knave, Riley is a knight, Emily is a knight, Logan is a knight, and Evelyn is a knave.", "solution_text_format": "(1) Michael is a knave\n(2) Riley is a knight\n(3) Emily is a knight\n(4) Logan is a knight\n(5) Evelyn is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Michael is a knight. No contradiction is found in their claim that If Evelyn is a knave then Evelyn is a knight.", "Evelyn cannot be a knight, because this would contradict the claim of their own that Logan is a knave if and only if Logan is a knight.", "Evelyn cannot be a knave, because this would contradict the claim of Michael that If Evelyn is a knave then Evelyn is a knight.", "We have exhausted all possibilities for Evelyn, so let us go back and reconsider Michael.", "Assume Michael is a knave. No contradiction is found in their false claim that If Evelyn is a knave then Evelyn is a knight.", "Evelyn cannot be a knight, because this would contradict the false claim of Michael that If Evelyn is a knave then Evelyn is a knight.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Logan is a knave if and only if Logan is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that Michael is not a knight.", "Assume Riley is a knight. No contradiction is found in their claim that Emily is not a knave.", "Assume Emily is a knight. No contradiction is found in their claim that Logan is a knave or Logan is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 4), ('telling-truth', 4)), ('not', ('lying', 2)), ('or', ('lying', 3), ('telling-truth', 3)), ('not', ('telling-truth', 0)), ('<=>', ('lying', 3), ('telling-truth', 3)))", "index": 1016}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Joseph, Ella, Benjamin, Sebastian, and Riley. Joseph stated, \"If Benjamin is a knave then Ella is a knave\". \"Sebastian is a knight if and only if Benjamin is a knave\" - Ella. Benjamin asserted: \"If Benjamin is a knight then Ella is a knave\". Sebastian noted, \"Riley is not a knight\". Riley stated, \"Benjamin is a knave\". So who is a knight and who is a knave?", "names": ["Joseph", "Ella", "Benjamin", "Sebastian", "Riley"], "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": "Joseph is a knight, Ella is a knave, Benjamin is a knight, Sebastian is a knight, and Riley is a knave.", "solution_text_format": "(1) Joseph is a knight\n(2) Ella is a knave\n(3) Benjamin is a knight\n(4) Sebastian is a knight\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 Joseph is a knight. No contradiction is found in their claim that If Benjamin is a knave then Ella is a knave.", "Assume Benjamin is a knight. No contradiction is found in their claim that If Benjamin is a knight then Ella is a knave.", "Ella cannot be a knight, because this would contradict the claim of Benjamin that If Benjamin is a knight then Ella is a knave.", "Assume Ella is a knave. No contradiction is found in their false claim that Sebastian is a knight if and only if Benjamin is a knave.", "Assume Sebastian is a knight. No contradiction is found in their claim that Riley is not a knight.", "Riley cannot be a knight, because this would contradict the claim of Sebastian that Riley is not a knight.", "Assume Riley is a knave. No contradiction is found in their false claim that Benjamin is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 2), ('lying', 1)), ('<=>', ('telling-truth', 3), ('lying', 2)), ('->', ('telling-truth', 2), ('lying', 1)), ('not', ('telling-truth', 4)), ('lying', 2))", "index": 1017}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Penelope, Elizabeth, Mia, Emily, and Ava. Penelope remarked, \"Mia is a knave if and only if Emily is a knight\". Elizabeth expressed that If Emily is a knight then Elizabeth is a knight. Mia stated, \"Mia is a knight if and only if Ava is a knight\". Emily stated, \"Mia is a knave and Ava is a knave\". Ava noted, \"Mia is not a knave\". So who is a knight and who is a knave?", "names": ["Penelope", "Elizabeth", "Mia", "Emily", "Ava"], "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": "Penelope is a knight, Elizabeth is a knight, Mia is a knight, Emily is a knave, and Ava is a knight.", "solution_text_format": "(1) Penelope is a knight\n(2) Elizabeth is a knight\n(3) Mia is a knight\n(4) Emily is a knave\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 Penelope is a knight. No contradiction is found in their claim that Mia is a knave if and only if Emily is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that Mia is a knight if and only if Ava is a knight.", "Assume Ava is a knight. No contradiction is found in their claim that Mia is not a knave.", "Emily cannot be a knight, because this would contradict the claim of Penelope that Mia is a knave if and only if Emily is a knight.", "Assume Emily is a knave. No contradiction is found in their false claim that Mia is a knave and Ava is a knave.", "Assume Elizabeth is a knight. No contradiction is found in their claim that If Emily is a knight then Elizabeth is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 2), ('telling-truth', 3)), ('->', ('telling-truth', 3), ('telling-truth', 1)), ('<=>', ('telling-truth', 2), ('telling-truth', 4)), ('and', ('lying', 2), ('lying', 4)), ('not', ('lying', 2)))", "index": 1018}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Daniel, Sophia, Scarlett, Lily, and Owen. In a statement by Daniel: \"Lily is not a knight\". As Sophia put it, \"Daniel is a knight if and only if Lily is a knave\". Scarlett stated, \"Daniel is a knave\". Lily asserted: \"Owen is a knave and Lily is a knight\". Owen asserted: \"Scarlett is not a knave\". So who is a knight and who is a knave?", "names": ["Daniel", "Sophia", "Scarlett", "Lily", "Owen"], "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": "Daniel is a knight, Sophia is a knight, Scarlett is a knave, Lily is a knave, and Owen is a knave.", "solution_text_format": "(1) Daniel is a knight\n(2) Sophia is a knight\n(3) Scarlett is a knave\n(4) Lily 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 Daniel is a knight. No contradiction is found in their claim that Lily is not a knight.", "Lily cannot be a knight, because this would contradict the claim of Daniel that Lily is not a knight.", "Assume Lily is a knave. No contradiction is found in their false claim that Owen is a knave and Lily is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that Scarlett is not a knave.", "Scarlett cannot be a knight, because this would contradict the claim of their own that Daniel is a knave.", "Scarlett cannot be a knave, because this would contradict the claim of Owen that Scarlett is not a knave.", "We have exhausted all possibilities for Scarlett, so let us go back and reconsider Owen.", "Assume Owen is a knave. No contradiction is found in their false claim that Scarlett is not a knave.", "Scarlett cannot be a knight, because this would contradict the claim of their own that Daniel is a knave.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Daniel is a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that Daniel is a knight if and only if Lily is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 3)), ('<=>', ('telling-truth', 0), ('lying', 3)), ('lying', 0), ('and', ('lying', 4), ('telling-truth', 3)), ('not', ('lying', 2)))", "index": 1019}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Scarlett, Charlotte, Emily, Lily, and Olivia. Scarlett was heard saying, \"Lily is not a knave\". Charlotte told you that Lily is a knight. Emily told you that Scarlett is a knave. \"Scarlett is a knight if and only if Olivia is a knight,\" Lily declared. In a statement by Olivia: \"Charlotte is not a knave\". So who is a knight and who is a knave?", "names": ["Scarlett", "Charlotte", "Emily", "Lily", "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": "Scarlett is a knight, Charlotte is a knight, Emily is a knave, Lily is a knight, and Olivia is a knight.", "solution_text_format": "(1) Scarlett is a knight\n(2) Charlotte is a knight\n(3) Emily is a knave\n(4) Lily 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 Scarlett is a knight. No contradiction is found in their claim that Lily is not a knave.", "Assume Lily is a knight. No contradiction is found in their claim that Scarlett is a knight if and only if Olivia is a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that Charlotte is not a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that Lily is a knight.", "Emily cannot be a knight, because this would contradict the claim of their own that Scarlett is a knave.", "Assume Emily 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', 3)), ('telling-truth', 3), ('lying', 0), ('<=>', ('telling-truth', 0), ('telling-truth', 4)), ('not', ('lying', 1)))", "index": 1020}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aiden, Olivia, Jacob, Evelyn, and Ava. As Aiden put it, \"If Evelyn is a knight then Jacob is a knave\". Olivia noted, \"Aiden is a knight if and only if Ava is a knave\". \"Ava is a knight,\" Jacob claimed. Evelyn stated, \"Ava is a knave if and only if Jacob is a knight\". Ava was heard saying, \"Aiden is a knave and Evelyn is a knave\". So who is a knight and who is a knave?", "names": ["Aiden", "Olivia", "Jacob", "Evelyn", "Ava"], "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": "Aiden is a knight, Olivia is a knight, Jacob is a knave, Evelyn is a knave, and Ava is a knave.", "solution_text_format": "(1) Aiden is a knight\n(2) Olivia is a knight\n(3) Jacob is a knave\n(4) Evelyn 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 Aiden is a knight. No contradiction is found in their claim that If Evelyn is a knight then Jacob is a knave.", "Assume Evelyn is a knight. No contradiction is found in their claim that Ava is a knave if and only if Jacob is a knight.", "Ava cannot be a knight, because this would contradict the claim of their own that Aiden is a knave and Evelyn is a knave.", "Assume Ava is a knave. No contradiction is found in their false claim that Aiden is a knave and Evelyn is a knave.", "Jacob cannot be a knight, because this would contradict the claim of Aiden that If Evelyn is a knight then Jacob is a knave.", "Jacob cannot be a knave, because this would contradict the claim of Evelyn that Ava is a knave if and only if Jacob is a knight.", "We have exhausted all possibilities for Jacob and Ava, so let us go back and reconsider Evelyn.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Ava is a knave if and only if Jacob is a knight.", "Ava cannot be a knight, because this would contradict the claim of their own that Aiden is a knave and Evelyn is a knave.", "Assume Ava is a knave. No contradiction is found in their false claim that Aiden is a knave and Evelyn is a knave.", "Jacob cannot be a knight, because this would contradict the claim of their own that Ava is a knight.", "Assume Jacob is a knave. No contradiction is found in their false claim that Ava is a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that Aiden is a knight if and only if Ava is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 3), ('lying', 2)), ('<=>', ('telling-truth', 0), ('lying', 4)), ('telling-truth', 4), ('<=>', ('lying', 4), ('telling-truth', 2)), ('and', ('lying', 0), ('lying', 3)))", "index": 1021}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Riley, Ethan, Scarlett, Alexander, and Penelope. Riley noted, \"Penelope is a knave and Scarlett is a knight\". Ethan stated, \"Riley is not a knight\". In a statement by Scarlett: \"Penelope is a knave or Alexander is a knight\". In a statement by Alexander: \"If Penelope is a knight then Riley is a knave\". Penelope told you that Alexander is a knave if and only if Alexander is a knight. So who is a knight and who is a knave?", "names": ["Riley", "Ethan", "Scarlett", "Alexander", "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": "Riley is a knight, Ethan is a knave, Scarlett is a knight, Alexander is a knight, and Penelope is a knave.", "solution_text_format": "(1) Riley is a knight\n(2) Ethan is a knave\n(3) Scarlett is a knight\n(4) Alexander 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 Riley is a knight. No contradiction is found in their claim that Penelope is a knave and Scarlett is a knight.", "Penelope cannot be a knight, because this would contradict the claim of Riley that Penelope is a knave and Scarlett is a knight.", "Assume Penelope is a knave. No contradiction is found in their false claim that Alexander is a knave if and only if Alexander is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that If Penelope is a knight then Riley is a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that Penelope is a knave or Alexander is a knight.", "Ethan cannot be a knight, because this would contradict the claim of their own that Riley is not a knight.", "Assume Ethan is a knave. No contradiction is found in their false claim that Riley is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 4), ('telling-truth', 2)), ('not', ('telling-truth', 0)), ('or', ('lying', 4), ('telling-truth', 3)), ('->', ('telling-truth', 4), ('lying', 0)), ('<=>', ('lying', 3), ('telling-truth', 3)))", "index": 1022}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Jackson, Chloe, Abigail, Amelia, and Penelope. \"Amelia is a knight if and only if Chloe is a knave,\" Jackson mentioned. Chloe remarked, \"Amelia is not a knight\". Abigail commented, \"Amelia is a knave if and only if Penelope is a knave\". As Amelia put it, \"If Abigail is a knight then Penelope is a knight\". Penelope stated, \"If Abigail is a knight then Jackson is a knight\". So who is a knight and who is a knave?", "names": ["Jackson", "Chloe", "Abigail", "Amelia", "Penelope"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, true], "solution_text": "Jackson is a knight, Chloe is a knave, Abigail is a knight, Amelia is a knight, and Penelope is a knight.", "solution_text_format": "(1) Jackson is a knight\n(2) Chloe is a knave\n(3) Abigail is a knight\n(4) Amelia is a knight\n(5) Penelope is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jackson is a knight. No contradiction is found in their claim that Amelia is a knight if and only if Chloe is a knave.", "Assume Amelia is a knight. No contradiction is found in their claim that If Abigail is a knight then Penelope is a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that Amelia is a knave if and only if Penelope is a knave.", "Assume Penelope is a knight. No contradiction is found in their claim that If Abigail is a knight then Jackson is a knight.", "Chloe cannot be a knight, because this would contradict the claim of Jackson that Amelia is a knight if and only if Chloe is a knave.", "Assume Chloe is a knave. No contradiction is found in their false claim that Amelia is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 3), ('lying', 1)), ('not', ('telling-truth', 3)), ('<=>', ('lying', 3), ('lying', 4)), ('->', ('telling-truth', 2), ('telling-truth', 4)), ('->', ('telling-truth', 2), ('telling-truth', 0)))", "index": 1023}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Evelyn, Sophia, Charlotte, Aiden, and Sebastian. Evelyn remarked, \"If Aiden is a knave then Evelyn is a knight\". Sophia expressed that Charlotte is not a knave. Charlotte said, \"Evelyn is a knight.\" Aiden remarked, \"If Charlotte is a knight then Sophia is a knave\". Sebastian expressed that Sophia is a knight. So who is a knight and who is a knave?", "names": ["Evelyn", "Sophia", "Charlotte", "Aiden", "Sebastian"], "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": "Evelyn is a knight, Sophia is a knight, Charlotte is a knight, Aiden is a knave, and Sebastian is a knight.", "solution_text_format": "(1) Evelyn is a knight\n(2) Sophia is a knight\n(3) Charlotte is a knight\n(4) Aiden is a knave\n(5) Sebastian is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Evelyn is a knight. No contradiction is found in their claim that If Aiden is a knave then Evelyn is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that If Charlotte is a knight then Sophia is a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that Evelyn is a knight.", "Sophia cannot be a knight, because this would contradict the claim of Aiden that If Charlotte is a knight then Sophia is a knave.", "Sophia cannot be a knave, because this would contradict the false claim of their own that Charlotte is not a knave.", "We have exhausted all possibilities for Sophia, so let us go back and reconsider Charlotte.", "Charlotte cannot be a knave, because this would contradict the false claim of their own that Evelyn is a knight.", "We have exhausted all possibilities for Charlotte, so let us go back and reconsider Aiden.", "Assume Aiden is a knave. No contradiction is found in their false claim that If Charlotte is a knight then Sophia is a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that Evelyn is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that Charlotte is not a knave.", "Assume Sebastian is a knight. No contradiction is found in their claim that Sophia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 3), ('telling-truth', 0)), ('not', ('lying', 2)), ('telling-truth', 0), ('->', ('telling-truth', 2), ('lying', 1)), ('telling-truth', 1))", "index": 1024}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Ella, Scarlett, Avery, Charlotte, and Ethan. In a statement by Ella: \"Charlotte is a knight and Ethan is a knave\". \"Ella is a knave or Avery is a knight,\" Scarlett claimed. As Avery put it, \"Scarlett is a knave or Avery is a knight\". Charlotte noted, \"Avery is a knave or Avery is a knight\". Ethan remarked, \"Avery is a knight if and only if Ella is a knight\". So who is a knight and who is a knave?", "names": ["Ella", "Scarlett", "Avery", "Charlotte", "Ethan"], "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": "Ella is a knave, Scarlett is a knight, Avery is a knave, Charlotte is a knight, and Ethan is a knight.", "solution_text_format": "(1) Ella is a knave\n(2) Scarlett is a knight\n(3) Avery is a knave\n(4) Charlotte is a knight\n(5) 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 Charlotte is a knight and Ethan is a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that Avery is a knave or Avery is a knight.", "Assume Avery is a knight. No contradiction is found in their claim that Scarlett is a knave or Avery is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that Ella is a knave or Avery is a knight.", "Ethan cannot be a knight, because this would contradict the claim of Ella that Charlotte is a knight and Ethan is a knave.", "Ethan cannot be a knave, because this would contradict the false claim of their own that Avery is a knight if and only if Ella is a knight.", "We have exhausted all possibilities for Ethan, so let us go back and reconsider Scarlett.", "Scarlett cannot be a knave, because this would contradict the false claim of their own that Ella is a knave or Avery is a knight.", "We have exhausted all possibilities for Scarlett, so let us go back and reconsider Avery.", "Assume Avery is a knave. No contradiction is found in their false claim that Scarlett is a knave or Avery is a knight.", "Scarlett cannot be a knight, because this would contradict the claim of their own that Ella is a knave or Avery is a knight.", "Scarlett cannot be a knave, because this would contradict the false claim of Avery that Scarlett is a knave or Avery is a knight.", "We have exhausted all possibilities for Scarlett and Avery, so let us go back and reconsider Charlotte.", "Charlotte cannot be a knave, because this would contradict the claim of Ella that Charlotte is a knight and Ethan is a knave.", "We have exhausted all possibilities for Charlotte, so let us go back and reconsider Ella.", "Assume Ella is a knave. No contradiction is found in their false claim that Charlotte is a knight and Ethan is a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that Avery is a knave or Avery is a knight.", "Assume Avery is a knight. No contradiction is found in their claim that Scarlett is a knave or Avery is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that Ella is a knave or Avery is a knight.", "Ethan cannot be a knight, because this would contradict the claim of their own that Avery is a knight if and only if Ella is a knight.", "Ethan cannot be a knave, because this would contradict the false claim of Ella that Charlotte is a knight and Ethan is a knave.", "We have exhausted all possibilities for Ethan, so let us go back and reconsider Scarlett.", "Scarlett cannot be a knave, because this would contradict the false claim of their own that Ella is a knave or Avery is a knight.", "We have exhausted all possibilities for Scarlett, so let us go back and reconsider Avery.", "Assume Avery is a knave. No contradiction is found in their false claim that Scarlett is a knave or Avery is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that Ella is a knave or Avery is a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that Avery is a knight if and only if Ella is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 3), ('lying', 4)), ('or', ('lying', 0), ('telling-truth', 2)), ('or', ('lying', 1), ('telling-truth', 2)), ('or', ('lying', 2), ('telling-truth', 2)), ('<=>', ('telling-truth', 2), ('telling-truth', 0)))", "index": 1025}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Emma, Evelyn, Olivia, Aria, and Victoria. Emma expressed that Emma is a knight and Aria is a knave. In a statement by Evelyn: \"Victoria is a knave if and only if Aria is a knave\". In Olivia's words: \"If Emma is a knight then Victoria is a knight\". As Aria put it, \"Victoria is a knave or Olivia is a knave\". In Victoria's words: \"Emma is a knave if and only if Olivia is a knight\". So who is a knight and who is a knave?", "names": ["Emma", "Evelyn", "Olivia", "Aria", "Victoria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false, true], "solution_text": "Emma is a knave, Evelyn is a knave, Olivia is a knight, Aria is a knave, and Victoria is a knight.", "solution_text_format": "(1) Emma is a knave\n(2) Evelyn is a knave\n(3) Olivia is a knight\n(4) Aria is a knave\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 Emma is a knight. No contradiction is found in their claim that Emma is a knight and Aria is a knave.", "Aria cannot be a knight, because this would contradict the claim of Emma that Emma is a knight and Aria is a knave.", "Assume Aria is a knave. No contradiction is found in their false claim that Victoria is a knave or Olivia is a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that Emma is a knave if and only if Olivia is a knight.", "Olivia cannot be a knight, because this would contradict the claim of Victoria that Emma is a knave if and only if Olivia is a knight.", "Olivia cannot be a knave, because this would contradict the false claim of their own that If Emma is a knight then Victoria is a knight.", "We have exhausted all possibilities for Olivia, so let us go back and reconsider Victoria.", "Victoria cannot be a knave, because this would contradict the false claim of Aria that Victoria is a knave or Olivia is a knave.", "We have exhausted all possibilities for Victoria and Aria, so let us go back and reconsider Emma.", "Assume Emma is a knave. No contradiction is found in their false claim that Emma is a knight and Aria is a knave.", "Assume Aria is a knight. No contradiction is found in their claim that Victoria is a knave or Olivia is a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that Emma is a knave if and only if Olivia is a knight.", "Olivia cannot be a knight, because this would contradict the claim of Aria that Victoria is a knave or Olivia is a knave.", "Olivia cannot be a knave, because this would contradict the false claim of their own that If Emma is a knight then Victoria is a knight.", "We have exhausted all possibilities for Olivia, so let us go back and reconsider Victoria.", "Assume Victoria is a knave. No contradiction is found in their false claim that Emma is a knave if and only if Olivia is a knight.", "Olivia cannot be a knight, because this would contradict the false claim of Victoria that Emma is a knave if and only if Olivia is a knight.", "Olivia cannot be a knave, because this would contradict the false claim of their own that If Emma is a knight then Victoria is a knight.", "We have exhausted all possibilities for Olivia and Victoria, so let us go back and reconsider Aria.", "Assume Aria is a knave. No contradiction is found in their false claim that Victoria is a knave or Olivia is a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that Emma is a knave if and only if Olivia is a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that If Emma is a knight then Victoria is a knight.", "Evelyn cannot be a knight, because this would contradict the claim of their own that Victoria is a knave if and only if Aria is a knave.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Victoria is a knave if and only if Aria is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 0), ('lying', 3)), ('<=>', ('lying', 4), ('lying', 3)), ('->', ('telling-truth', 0), ('telling-truth', 4)), ('or', ('lying', 4), ('lying', 2)), ('<=>', ('lying', 0), ('telling-truth', 2)))", "index": 1026}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Luke, Grace, Zoey, Sebastian, and Harper. Luke said, \"Sebastian is a knight if and only if Zoey is a knave.\" In Grace's words: \"If Zoey is a knave then Zoey is a knight\". Zoey commented, \"Sebastian is a knight if and only if Zoey is a knight\". Sebastian commented, \"Harper is a knave if and only if Sebastian is a knight\". Harper said that Grace is a knight. So who is a knight and who is a knave?", "names": ["Luke", "Grace", "Zoey", "Sebastian", "Harper"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, false], "solution_text": "Luke is a knight, Grace is a knave, Zoey is a knave, Sebastian is a knight, and Harper is a knave.", "solution_text_format": "(1) Luke is a knight\n(2) Grace is a knave\n(3) Zoey is a knave\n(4) Sebastian 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 Luke is a knight. No contradiction is found in their claim that Sebastian is a knight if and only if Zoey is a knave.", "Assume Sebastian is a knight. No contradiction is found in their claim that Harper is a knave if and only if Sebastian is a knight.", "Harper cannot be a knight, because this would contradict the claim of Sebastian that Harper is a knave if and only if Sebastian is a knight.", "Assume Harper is a knave. No contradiction is found in their false claim that Grace is a knight.", "Grace cannot be a knight, because this would contradict the false claim of Harper that Grace is a knight.", "Assume Grace is a knave. No contradiction is found in their false claim that If Zoey is a knave then Zoey is a knight.", "Zoey cannot be a knight, because this would contradict the claim of Luke that Sebastian is a knight if and only if Zoey is a knave.", "Assume Zoey is a knave. No contradiction is found in their false claim that Sebastian is a knight if and only if Zoey is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 3), ('lying', 2)), ('->', ('lying', 2), ('telling-truth', 2)), ('<=>', ('telling-truth', 3), ('telling-truth', 2)), ('<=>', ('lying', 4), ('telling-truth', 3)), ('telling-truth', 1))", "index": 1027}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Samuel, Abigail, Emma, Elizabeth, and Aiden. \"Samuel is a knight and Abigail is a knight,\" Samuel declared. Abigail noted, \"Elizabeth is a knave if and only if Emma is a knave\". Emma said that Samuel is not a knight. In a statement by Elizabeth: \"If Aiden is a knave then Aiden is a knight\". Aiden said, \"Samuel is a knave if and only if Elizabeth is a knave.\" So who is a knight and who is a knave?", "names": ["Samuel", "Abigail", "Emma", "Elizabeth", "Aiden"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false, false], "solution_text": "Samuel is a knight, Abigail is a knight, Emma is a knave, Elizabeth is a knave, and Aiden is a knave.", "solution_text_format": "(1) Samuel is a knight\n(2) Abigail is a knight\n(3) Emma is a knave\n(4) Elizabeth is a knave\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 Samuel is a knight. No contradiction is found in their claim that Samuel is a knight and Abigail is a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that Elizabeth is a knave if and only if Emma is a knave.", "Assume Elizabeth is a knight. No contradiction is found in their claim that If Aiden is a knave then Aiden is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that Samuel is a knave if and only if Elizabeth is a knave.", "Emma cannot be a knight, because this would contradict the claim of their own that Samuel is not a knight.", "Emma cannot be a knave, because this would contradict the claim of Abigail that Elizabeth is a knave if and only if Emma is a knave.", "We have exhausted all possibilities for Emma, so let us go back and reconsider Aiden.", "Aiden cannot be a knave, because this would contradict the claim of Elizabeth that If Aiden is a knave then Aiden is a knight.", "We have exhausted all possibilities for Aiden, so let us go back and reconsider Elizabeth.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that If Aiden is a knave then Aiden is a knight.", "Aiden cannot be a knight, because this would contradict the false claim of Elizabeth that If Aiden is a knave then Aiden is a knight.", "Assume Aiden is a knave. No contradiction is found in their false claim that Samuel is a knave if and only if Elizabeth is a knave.", "Emma cannot be a knight, because this would contradict the claim of Abigail that Elizabeth is a knave if and only if Emma is a knave.", "Assume Emma is a knave. No contradiction is found in their false claim that Samuel is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 0), ('telling-truth', 1)), ('<=>', ('lying', 3), ('lying', 2)), ('not', ('telling-truth', 0)), ('->', ('lying', 4), ('telling-truth', 4)), ('<=>', ('lying', 0), ('lying', 3)))", "index": 1028}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Abigail, Joseph, Aurora, Luke, and Matthew. Abigail remarked, \"Aurora is a knight and Aurora is a knave\". According to Joseph, \"Abigail is a knave or Aurora is a knave\". Aurora told you that Joseph is a knave and Joseph is a knight. \"Luke is a knight or Joseph is a knight,\" Luke claimed. Matthew stated, \"Aurora is a knight and Aurora is a knave\". So who is a knight and who is a knave?", "names": ["Abigail", "Joseph", "Aurora", "Luke", "Matthew"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true, false], "solution_text": "Abigail is a knave, Joseph is a knight, Aurora is a knave, Luke is a knight, and Matthew is a knave.", "solution_text_format": "(1) Abigail is a knave\n(2) Joseph is a knight\n(3) Aurora is a knave\n(4) Luke is a knight\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": ["Abigail cannot be a knight, because this would contradict the claim of their own that Aurora is a knight and Aurora is a knave.", "Assume Abigail is a knave. No contradiction is found in their false claim that Aurora is a knight and Aurora is a knave.", "Aurora cannot be a knight, because this would contradict the claim of their own that Joseph is a knave and Joseph is a knight.", "Assume Aurora is a knave. No contradiction is found in their false claim that Joseph is a knave and Joseph is a knight.", "Assume Joseph is a knight. No contradiction is found in their claim that Abigail is a knave or Aurora is a knave.", "Assume Luke is a knight. No contradiction is found in their claim that Luke is a knight or Joseph is a knight.", "Matthew cannot be a knight, because this would contradict the claim of their own that Aurora is a knight and Aurora is a knave.", "Assume Matthew is a knave. No contradiction is found in their false claim that Aurora is a knight and Aurora is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 2), ('lying', 2)), ('or', ('lying', 0), ('lying', 2)), ('and', ('lying', 1), ('telling-truth', 1)), ('or', ('telling-truth', 3), ('telling-truth', 1)), ('and', ('telling-truth', 2), ('lying', 2)))", "index": 1029}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Amelia, Avery, Owen, Henry, and Aurora. In Amelia's words: \"Aurora is a knave\". According to Avery, \"Amelia is a knave and Avery is a knight\". Owen expressed that Avery is a knave and Aurora is a knight. \"If Owen is a knight then Avery is a knave,\" Henry declared. In Aurora's words: \"Avery is not a knight\". So who is a knight and who is a knave?", "names": ["Amelia", "Avery", "Owen", "Henry", "Aurora"], "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": "Amelia is a knave, Avery is a knave, Owen is a knight, Henry is a knight, and Aurora is a knight.", "solution_text_format": "(1) Amelia is a knave\n(2) Avery is a knave\n(3) Owen is a knight\n(4) Henry 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 Amelia is a knight. No contradiction is found in their claim that Aurora is a knave.", "Aurora cannot be a knight, because this would contradict the claim of Amelia that Aurora is a knave.", "Assume Aurora is a knave. No contradiction is found in their false claim that Avery is not a knight.", "Avery cannot be a knight, because this would contradict the claim of their own that Amelia is a knave and Avery is a knight.", "Avery cannot be a knave, because this would contradict the false claim of Aurora that Avery is not a knight.", "We have exhausted all possibilities for Avery and Aurora, so let us go back and reconsider Amelia.", "Assume Amelia is a knave. No contradiction is found in their false claim that Aurora is a knave.", "Assume Aurora is a knight. No contradiction is found in their claim that Avery is not a knight.", "Avery cannot be a knight, because this would contradict the claim of Aurora that Avery is not a knight.", "Assume Avery is a knave. No contradiction is found in their false claim that Amelia is a knave and Avery is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that Avery is a knave and Aurora is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that If Owen is a knight then Avery is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 4), ('and', ('lying', 0), ('telling-truth', 1)), ('and', ('lying', 1), ('telling-truth', 4)), ('->', ('telling-truth', 2), ('lying', 1)), ('not', ('telling-truth', 1)))", "index": 1030}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Logan, Grace, Alexander, James, and Luke. Logan was heard saying, \"If Alexander is a knave then Grace is a knight\". \"Grace is a knight if and only if James is a knight,\" Grace claimed. Alexander told you that Grace is a knight if and only if James is a knave. James commented, \"Alexander is a knight if and only if Luke is a knave\". Luke remarked, \"James is a knight\". So who is a knight and who is a knave?", "names": ["Logan", "Grace", "Alexander", "James", "Luke"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true, true], "solution_text": "Logan is a knight, Grace is a knight, Alexander is a knave, James is a knight, and Luke is a knight.", "solution_text_format": "(1) Logan is a knight\n(2) Grace is a knight\n(3) Alexander is a knave\n(4) James 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 Logan is a knight. No contradiction is found in their claim that If Alexander is a knave then Grace is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that Grace is a knight if and only if James is a knave.", "Assume Grace is a knight. No contradiction is found in their claim that Grace is a knight if and only if James is a knight.", "James cannot be a knight, because this would contradict the claim of Alexander that Grace is a knight if and only if James is a knave.", "James cannot be a knave, because this would contradict the claim of Grace that Grace is a knight if and only if James is a knight.", "We have exhausted all possibilities for James, so let us go back and reconsider Grace.", "Assume Grace is a knave. No contradiction is found in their false claim that Grace is a knight if and only if James is a knight.", "Assume James is a knight. No contradiction is found in their claim that Alexander is a knight if and only if Luke is a knave.", "Luke cannot be a knight, because this would contradict the claim of James that Alexander is a knight if and only if Luke is a knave.", "Luke cannot be a knave, because this would contradict the false claim of their own that James is a knight.", "We have exhausted all possibilities for Luke, so let us go back and reconsider James.", "James cannot be a knave, because this would contradict the false claim of Grace that Grace is a knight if and only if James is a knight.", "We have exhausted all possibilities for James and Grace, so let us go back and reconsider Alexander.", "Assume Alexander is a knave. No contradiction is found in their false claim that Grace is a knight if and only if James is a knave.", "Assume Grace is a knight. No contradiction is found in their claim that Grace is a knight if and only if James is a knight.", "Assume James is a knight. No contradiction is found in their claim that Alexander is a knight if and only if Luke is a knave.", "Assume Luke is a knight. No contradiction is found in their claim that James is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 2), ('telling-truth', 1)), ('<=>', ('telling-truth', 1), ('telling-truth', 3)), ('<=>', ('telling-truth', 1), ('lying', 3)), ('<=>', ('telling-truth', 2), ('lying', 4)), ('telling-truth', 3))", "index": 1031}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Elizabeth, Mason, Samuel, Alexander, and Charlotte. Elizabeth said, \"If Mason is a knave then Elizabeth is a knight.\" Mason was heard saying, \"Elizabeth is a knave if and only if Charlotte is a knave\". Samuel commented, \"Charlotte is a knight\". \"Elizabeth is not a knave,\" Alexander mentioned. Charlotte said that If Mason is a knight then Elizabeth is a knave. So who is a knight and who is a knave?", "names": ["Elizabeth", "Mason", "Samuel", "Alexander", "Charlotte"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false, true], "solution_text": "Elizabeth is a knave, Mason is a knave, Samuel is a knight, Alexander is a knave, and Charlotte is a knight.", "solution_text_format": "(1) Elizabeth is a knave\n(2) Mason is a knave\n(3) Samuel is a knight\n(4) Alexander 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 Elizabeth is a knight. No contradiction is found in their claim that If Mason is a knave then Elizabeth is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that Elizabeth is a knave if and only if Charlotte is a knave.", "Charlotte cannot be a knight, because this would contradict the claim of their own that If Mason is a knight then Elizabeth is a knave.", "Charlotte cannot be a knave, because this would contradict the claim of Mason that Elizabeth is a knave if and only if Charlotte is a knave.", "We have exhausted all possibilities for Charlotte, so let us go back and reconsider Mason.", "Assume Mason is a knave. No contradiction is found in their false claim that Elizabeth is a knave if and only if Charlotte is a knave.", "Charlotte cannot be a knight, because this would contradict the false claim of Mason that Elizabeth is a knave if and only if Charlotte is a knave.", "Charlotte cannot be a knave, because this would contradict the false claim of their own that If Mason is a knight then Elizabeth is a knave.", "We have exhausted all possibilities for Charlotte and Mason, so let us go back and reconsider Elizabeth.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that If Mason is a knave then Elizabeth is a knight.", "Mason cannot be a knight, because this would contradict the false claim of Elizabeth that If Mason is a knave then Elizabeth is a knight.", "Assume Mason is a knave. No contradiction is found in their false claim that Elizabeth is a knave if and only if Charlotte is a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that If Mason is a knight then Elizabeth is a knave.", "Assume Samuel is a knight. No contradiction is found in their claim that Charlotte is a knight.", "Alexander cannot be a knight, because this would contradict the claim of their own that Elizabeth is not a knave.", "Assume Alexander is a knave. No contradiction is found in their false claim that Elizabeth is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 1), ('telling-truth', 0)), ('<=>', ('lying', 0), ('lying', 4)), ('telling-truth', 4), ('not', ('lying', 0)), ('->', ('telling-truth', 1), ('lying', 0)))", "index": 1032}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Benjamin, Ava, Sophia, Michael, and Ella. Benjamin remarked, \"Ella is a knave if and only if Ava is a knight\". Ava was heard saying, \"Ava is a knight or Michael is a knave\". According to Sophia, \"If Sophia is a knight then Benjamin is a knave\". In Michael's words: \"If Benjamin is a knight then Ava is a knave\". Ella asserted: \"Ava is a knave if and only if Ava is a knight\". So who is a knight and who is a knave?", "names": ["Benjamin", "Ava", "Sophia", "Michael", "Ella"], "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": "Benjamin is a knave, Ava is a knave, Sophia is a knight, Michael is a knight, and Ella is a knave.", "solution_text_format": "(1) Benjamin is a knave\n(2) Ava is a knave\n(3) Sophia is a knight\n(4) Michael is a knight\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 Benjamin is a knight. No contradiction is found in their claim that Ella is a knave if and only if Ava is a knight.", "Ella cannot be a knight, because this would contradict the claim of their own that Ava is a knave if and only if Ava is a knight.", "Assume Ella is a knave. No contradiction is found in their false claim that Ava is a knave if and only if Ava is a knight.", "Assume Ava is a knight. No contradiction is found in their claim that Ava is a knight or Michael is a knave.", "Michael cannot be a knight, because this would contradict the claim of their own that If Benjamin is a knight then Ava is a knave.", "Assume Michael is a knave. No contradiction is found in their false claim that If Benjamin is a knight then Ava is a knave.", "Sophia cannot be a knight, because this would contradict the claim of their own that If Sophia is a knight then Benjamin is a knave.", "Sophia cannot be a knave, because this would contradict the false claim of their own that If Sophia is a knight then Benjamin is a knave.", "We have exhausted all possibilities for Sophia and Michael, so let us go back and reconsider Ava.", "Ava cannot be a knave, because this would contradict the claim of Benjamin that Ella is a knave if and only if Ava is a knight.", "We have exhausted all possibilities for Ava and Ella, so let us go back and reconsider Benjamin.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Ella is a knave if and only if Ava is a knight.", "Ella cannot be a knight, because this would contradict the claim of their own that Ava is a knave if and only if Ava is a knight.", "Assume Ella is a knave. No contradiction is found in their false claim that Ava is a knave if and only if Ava is a knight.", "Ava cannot be a knight, because this would contradict the false claim of Benjamin that Ella is a knave if and only if Ava is a knight.", "Assume Ava is a knave. No contradiction is found in their false claim that Ava is a knight or Michael is a knave.", "Assume Michael is a knight. No contradiction is found in their claim that If Benjamin is a knight then Ava is a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that If Sophia is a knight then Benjamin is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 4), ('telling-truth', 1)), ('or', ('telling-truth', 1), ('lying', 3)), ('->', ('telling-truth', 2), ('lying', 0)), ('->', ('telling-truth', 0), ('lying', 1)), ('<=>', ('lying', 1), ('telling-truth', 1)))", "index": 1033}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Sofia, Scarlett, Mia, Aiden, and Grace. Sofia stated, \"Mia is a knave or Aiden is a knight\". \"Sofia is a knight or Grace is a knave\" - Scarlett. \"Aiden is not a knight,\" Mia declared. Aiden told you that Scarlett is not a knight. \"Mia is a knave and Mia is a knight,\" Grace claimed. So who is a knight and who is a knave?", "names": ["Sofia", "Scarlett", "Mia", "Aiden", "Grace"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false, false], "solution_text": "Sofia is a knave, Scarlett is a knight, Mia is a knight, Aiden is a knave, and Grace is a knave.", "solution_text_format": "(1) Sofia is a knave\n(2) Scarlett is a knight\n(3) Mia is a knight\n(4) Aiden is a knave\n(5) Grace is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sofia is a knight. No contradiction is found in their claim that Mia is a knave or Aiden is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that Aiden is not a knight.", "Aiden cannot be a knight, because this would contradict the claim of Mia that Aiden is not a knight.", "Aiden cannot be a knave, because this would contradict the claim of Sofia that Mia is a knave or Aiden is a knight.", "We have exhausted all possibilities for Aiden, so let us go back and reconsider Mia.", "Assume Mia is a knave. No contradiction is found in their false claim that Aiden is not a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that Scarlett is not a knight.", "Scarlett cannot be a knight, because this would contradict the claim of Aiden that Scarlett is not a knight.", "Scarlett cannot be a knave, because this would contradict the false claim of their own that Sofia is a knight or Grace is a knave.", "We have exhausted all possibilities for Scarlett, so let us go back and reconsider Aiden.", "Aiden cannot be a knave, because this would contradict the false claim of Mia that Aiden is not a knight.", "We have exhausted all possibilities for Aiden and Mia, so let us go back and reconsider Sofia.", "Assume Sofia is a knave. No contradiction is found in their false claim that Mia is a knave or Aiden is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that Aiden is not a knight.", "Aiden cannot be a knight, because this would contradict the false claim of Sofia that Mia is a knave or Aiden is a knight.", "Assume Aiden is a knave. No contradiction is found in their false claim that Scarlett is not a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that Sofia is a knight or Grace is a knave.", "Grace cannot be a knight, because this would contradict the claim of Scarlett that Sofia is a knight or Grace is a knave.", "Assume Grace is a knave. No contradiction is found in their false claim that Mia is a knave and Mia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 2), ('telling-truth', 3)), ('or', ('telling-truth', 0), ('lying', 4)), ('not', ('telling-truth', 3)), ('not', ('telling-truth', 1)), ('and', ('lying', 2), ('telling-truth', 2)))", "index": 1034}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Henry, Samuel, William, Mia, and Scarlett. Henry expressed that If Henry is a knight then Samuel is a knave. \"If Henry is a knight then Henry is a knave,\" Samuel declared. \"Henry is not a knight,\" William claimed. As Mia put it, \"Mia is a knight if and only if Scarlett is a knave\". Scarlett said that If Henry is a knight then Mia is a knight. So who is a knight and who is a knave?", "names": ["Henry", "Samuel", "William", "Mia", "Scarlett"], "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": "Henry is a knight, Samuel is a knave, William is a knave, Mia is a knave, and Scarlett is a knave.", "solution_text_format": "(1) Henry is a knight\n(2) Samuel is a knave\n(3) William is a knave\n(4) Mia 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 Henry is a knight. No contradiction is found in their claim that If Henry is a knight then Samuel is a knave.", "Samuel cannot be a knight, because this would contradict the claim of Henry that If Henry is a knight then Samuel is a knave.", "Assume Samuel is a knave. No contradiction is found in their false claim that If Henry is a knight then Henry is a knave.", "William cannot be a knight, because this would contradict the claim of their own that Henry is not a knight.", "Assume William is a knave. No contradiction is found in their false claim that Henry is not a knight.", "Assume Mia is a knight. No contradiction is found in their claim that Mia is a knight if and only if Scarlett is a knave.", "Scarlett cannot be a knight, because this would contradict the claim of Mia that Mia is a knight if and only if Scarlett is a knave.", "Scarlett cannot be a knave, because this would contradict the false claim of their own that If Henry is a knight then Mia is a knight.", "We have exhausted all possibilities for Scarlett, so let us go back and reconsider Mia.", "Assume Mia is a knave. No contradiction is found in their false claim that Mia is a knight if and only if Scarlett is a knave.", "Scarlett cannot be a knight, because this would contradict the false claim of Mia that Mia is a knight if and only if Scarlett is a knave.", "Assume Scarlett is a knave. No contradiction is found in their false claim that If Henry is a knight then Mia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 0), ('lying', 1)), ('->', ('telling-truth', 0), ('lying', 0)), ('not', ('telling-truth', 0)), ('<=>', ('telling-truth', 3), ('lying', 4)), ('->', ('telling-truth', 0), ('telling-truth', 3)))", "index": 1035}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Liam, Zoey, Samuel, Jackson, and Elizabeth. Liam expressed that Elizabeth is a knight and Zoey is a knave. According to Zoey, \"Elizabeth is not a knave\". In Samuel's words: \"Jackson is a knight if and only if Jackson is a knave\". Jackson expressed that Samuel is a knight. \"If Samuel is a knave then Liam is a knight,\" Elizabeth declared. So who is a knight and who is a knave?", "names": ["Liam", "Zoey", "Samuel", "Jackson", "Elizabeth"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, false, false], "solution_text": "Liam is a knave, Zoey is a knave, Samuel is a knave, Jackson is a knave, and Elizabeth is a knave.", "solution_text_format": "(1) Liam is a knave\n(2) Zoey is a knave\n(3) Samuel is a knave\n(4) Jackson is a knave\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 Liam is a knight. No contradiction is found in their claim that Elizabeth is a knight and Zoey is a knave.", "Assume Elizabeth is a knight. No contradiction is found in their claim that If Samuel is a knave then Liam is a knight.", "Samuel cannot be a knight, because this would contradict the claim of their own that Jackson is a knight if and only if Jackson is a knave.", "Assume Samuel is a knave. No contradiction is found in their false claim that Jackson is a knight if and only if Jackson is a knave.", "Jackson cannot be a knight, because this would contradict the claim of their own that Samuel is a knight.", "Assume Jackson is a knave. No contradiction is found in their false claim that Samuel is a knight.", "Zoey cannot be a knight, because this would contradict the claim of Liam that Elizabeth is a knight and Zoey is a knave.", "Zoey cannot be a knave, because this would contradict the false claim of their own that Elizabeth is not a knave.", "We have exhausted all possibilities for Zoey, Jackson, and Samuel, so let us go back and reconsider Elizabeth.", "Elizabeth cannot be a knave, because this would contradict the claim of Liam that Elizabeth is a knight and Zoey is a knave.", "We have exhausted all possibilities for Elizabeth, so let us go back and reconsider Liam.", "Assume Liam is a knave. No contradiction is found in their false claim that Elizabeth is a knight and Zoey is a knave.", "Assume Elizabeth is a knight. No contradiction is found in their claim that If Samuel is a knave then Liam is a knight.", "Samuel cannot be a knight, because this would contradict the claim of their own that Jackson is a knight if and only if Jackson is a knave.", "Samuel cannot be a knave, because this would contradict the claim of Elizabeth that If Samuel is a knave then Liam is a knight.", "We have exhausted all possibilities for Samuel, so let us go back and reconsider Elizabeth.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that If Samuel is a knave then Liam is a knight.", "Samuel cannot be a knight, because this would contradict the claim of their own that Jackson is a knight if and only if Jackson is a knave.", "Assume Samuel is a knave. No contradiction is found in their false claim that Jackson is a knight if and only if Jackson is a knave.", "Jackson cannot be a knight, because this would contradict the claim of their own that Samuel is a knight.", "Assume Jackson is a knave. No contradiction is found in their false claim that Samuel is a knight.", "Zoey cannot be a knight, because this would contradict the claim of their own that Elizabeth is not a knave.", "Assume Zoey is a knave. No contradiction is found in their false claim that Elizabeth is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 4), ('lying', 1)), ('not', ('lying', 4)), ('<=>', ('telling-truth', 3), ('lying', 3)), ('telling-truth', 2), ('->', ('lying', 2), ('telling-truth', 0)))", "index": 1036}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Lily, Logan, Isabella, Sebastian, and Ella. As Lily put it, \"Logan is a knave\". Logan expressed that If Ella is a knight then Sebastian is a knight. In Isabella's words: \"Ella is a knight and Logan is a knave\". \"Sebastian is a knight or Ella is a knight,\" Sebastian declared. Ella told you that Logan is a knight if and only if Lily is a knave. So who is a knight and who is a knave?", "names": ["Lily", "Logan", "Isabella", "Sebastian", "Ella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true, true], "solution_text": "Lily is a knave, Logan is a knight, Isabella is a knave, Sebastian is a knight, and Ella is a knight.", "solution_text_format": "(1) Lily is a knave\n(2) Logan is a knight\n(3) Isabella is a knave\n(4) Sebastian is a knight\n(5) Ella is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Lily 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 Lily that Logan is a knave.", "Assume Logan is a knave. No contradiction is found in their false claim that If Ella is a knight then Sebastian is a knight.", "Assume Ella is a knight. No contradiction is found in their claim that Logan is a knight if and only if Lily is a knave.", "Sebastian cannot be a knight, because this would contradict the false claim of Logan that If Ella is a knight then Sebastian is a knight.", "Sebastian cannot be a knave, because this would contradict the false claim of their own that Sebastian is a knight or Ella is a knight.", "We have exhausted all possibilities for Sebastian, so let us go back and reconsider Ella.", "Ella cannot be a knave, because this would contradict the false claim of Logan that If Ella is a knight then Sebastian is a knight.", "We have exhausted all possibilities for Ella and Logan, so let us go back and reconsider Lily.", "Assume Lily is a knave. No contradiction is found in their false claim that Logan is a knave.", "Assume Logan is a knight. No contradiction is found in their claim that If Ella is a knight then Sebastian is a knight.", "Assume Ella is a knight. No contradiction is found in their claim that Logan is a knight if and only if Lily is a knave.", "Assume Sebastian is a knight. No contradiction is found in their claim that Sebastian is a knight or Ella is a knight.", "Isabella cannot be a knight, because this would contradict the claim of their own that Ella is a knight and Logan is a knave.", "Assume Isabella is a knave. No contradiction is found in their false claim that Ella is a knight and Logan is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('->', ('telling-truth', 4), ('telling-truth', 3)), ('and', ('telling-truth', 4), ('lying', 1)), ('or', ('telling-truth', 3), ('telling-truth', 4)), ('<=>', ('telling-truth', 1), ('lying', 0)))", "index": 1037}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Grace, Sebastian, Charlotte, Noah, and Aurora. Grace noted, \"Noah is not a knight\". Sebastian expressed that If Noah is a knave then Grace is a knight. Charlotte said, \"Aurora is a knight and Aurora is a knave.\" \"Aurora is a knight if and only if Noah is a knight,\" Noah declared. As Aurora put it, \"Noah is a knave or Sebastian is a knave\". So who is a knight and who is a knave?", "names": ["Grace", "Sebastian", "Charlotte", "Noah", "Aurora"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false, true], "solution_text": "Grace is a knight, Sebastian is a knight, Charlotte is a knave, Noah is a knave, and Aurora is a knight.", "solution_text_format": "(1) Grace is a knight\n(2) Sebastian is a knight\n(3) Charlotte is a knave\n(4) Noah 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 Grace is a knight. No contradiction is found in their claim that Noah is not a knight.", "Noah cannot be a knight, because this would contradict the claim of Grace that Noah is not a knight.", "Assume Noah is a knave. No contradiction is found in their false claim that Aurora is a knight if and only if Noah is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that Noah is a knave or Sebastian is a knave.", "Assume Sebastian is a knight. No contradiction is found in their claim that If Noah is a knave then Grace is a knight.", "Charlotte cannot be a knight, because this would contradict the claim of their own that Aurora is a knight and Aurora is a knave.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Aurora is a knight and Aurora is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 3)), ('->', ('lying', 3), ('telling-truth', 0)), ('and', ('telling-truth', 4), ('lying', 4)), ('<=>', ('telling-truth', 4), ('telling-truth', 3)), ('or', ('lying', 3), ('lying', 1)))", "index": 1038}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Michael, Evelyn, Luke, Noah, and Isabella. Michael was heard saying, \"Evelyn is a knave\". Evelyn remarked, \"Noah is a knight and Michael is a knight\". In Luke's words: \"Evelyn is a knight or Isabella is a knave\". Noah said, \"Isabella is a knight if and only if Luke is a knight.\" \"If Michael is a knave then Michael is a knight,\" Isabella claimed. So who is a knight and who is a knave?", "names": ["Michael", "Evelyn", "Luke", "Noah", "Isabella"], "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": "Michael is a knight, Evelyn is a knave, Luke is a knave, Noah is a knave, and Isabella is a knight.", "solution_text_format": "(1) Michael is a knight\n(2) Evelyn is a knave\n(3) Luke 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 Michael is a knight. No contradiction is found in their claim that Evelyn is a knave.", "Evelyn cannot be a knight, because this would contradict the claim of Michael that Evelyn is a knave.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Noah is a knight and Michael is a knight.", "Noah cannot be a knight, because this would contradict the false claim of Evelyn that Noah is a knight and Michael is a knight.", "Assume Noah is a knave. No contradiction is found in their false claim that Isabella is a knight if and only if Luke is a knight.", "Assume Isabella is a knight. No contradiction is found in their claim that If Michael is a knave then Michael is a knight.", "Luke cannot be a knight, because this would contradict the claim of their own that Evelyn is a knight or Isabella is a knave.", "Assume Luke is a knave. No contradiction is found in their false claim that Evelyn is a knight or Isabella is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('and', ('telling-truth', 3), ('telling-truth', 0)), ('or', ('telling-truth', 1), ('lying', 4)), ('<=>', ('telling-truth', 4), ('telling-truth', 2)), ('->', ('lying', 0), ('telling-truth', 0)))", "index": 1039}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aiden, Victoria, Lucas, Benjamin, and Grace. \"Benjamin is a knight if and only if Grace is a knight,\" Aiden declared. Victoria was heard saying, \"Aiden is a knight\". Lucas said that Aiden is not a knight. Benjamin was heard saying, \"Lucas is a knave\". Grace noted, \"Victoria is a knave\". So who is a knight and who is a knave?", "names": ["Aiden", "Victoria", "Lucas", "Benjamin", "Grace"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false, true], "solution_text": "Aiden is a knave, Victoria is a knave, Lucas is a knight, Benjamin is a knave, and Grace is a knight.", "solution_text_format": "(1) Aiden is a knave\n(2) Victoria is a knave\n(3) Lucas is a knight\n(4) Benjamin is a knave\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 Aiden is a knight. No contradiction is found in their claim that Benjamin is a knight if and only if Grace is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that Lucas is a knave.", "Lucas cannot be a knight, because this would contradict the claim of their own that Aiden is not a knight.", "Assume Lucas is a knave. No contradiction is found in their false claim that Aiden is not a knight.", "Assume Grace 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 Grace that Victoria is a knave.", "Victoria cannot be a knave, because this would contradict the false claim of their own that Aiden is a knight.", "We have exhausted all possibilities for Victoria, so let us go back and reconsider Grace.", "Grace cannot be a knave, because this would contradict the claim of Aiden that Benjamin is a knight if and only if Grace is a knight.", "We have exhausted all possibilities for Grace and Lucas, so let us go back and reconsider Benjamin.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Lucas is a knave.", "Lucas cannot be a knight, because this would contradict the claim of their own that Aiden is not a knight.", "Lucas cannot be a knave, because this would contradict the false claim of Benjamin that Lucas is a knave.", "We have exhausted all possibilities for Lucas and Benjamin, so let us go back and reconsider Aiden.", "Assume Aiden is a knave. No contradiction is found in their false claim that Benjamin is a knight if and only if Grace is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that Lucas is a knave.", "Lucas cannot be a knight, because this would contradict the claim of Benjamin that Lucas is a knave.", "Lucas cannot be a knave, because this would contradict the false claim of their own that Aiden is not a knight.", "We have exhausted all possibilities for Lucas, so let us go back and reconsider Benjamin.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Lucas is a knave.", "Assume Lucas is a knight. No contradiction is found in their claim that Aiden is not a knight.", "Assume Grace 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 their own that Aiden is a knight.", "Assume Victoria is a knave. No contradiction is found in their false claim that Aiden is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 3), ('telling-truth', 4)), ('telling-truth', 0), ('not', ('telling-truth', 0)), ('lying', 2), ('lying', 1))", "index": 1040}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Joseph, Jackson, Liam, Ella, and Victoria. Joseph said that Jackson is a knave if and only if Victoria is a knave. In a statement by Jackson: \"Victoria is a knight or Victoria is a knave\". Liam said, \"Jackson is a knight if and only if Victoria is a knave.\" In Ella's words: \"Joseph is a knave if and only if Victoria is a knight\". According to Victoria, \"Ella is a knight or Jackson is a knight\". So who is a knight and who is a knave?", "names": ["Joseph", "Jackson", "Liam", "Ella", "Victoria"], "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": "Joseph is a knight, Jackson is a knight, Liam is a knave, Ella is a knave, and Victoria is a knight.", "solution_text_format": "(1) Joseph is a knight\n(2) Jackson is a knight\n(3) Liam is a knave\n(4) Ella is a knave\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 Joseph is a knight. No contradiction is found in their claim that Jackson is a knave if and only if Victoria is a knave.", "Assume Jackson is a knight. No contradiction is found in their claim that Victoria is a knight or Victoria is a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that Ella is a knight or Jackson is a knight.", "Ella cannot be a knight, because this would contradict the claim of their own that Joseph is a knave if and only if Victoria is a knight.", "Assume Ella is a knave. No contradiction is found in their false claim that Joseph is a knave if and only if Victoria is a knight.", "Liam cannot be a knight, because this would contradict the claim of their own that Jackson is a knight if and only if Victoria is a knave.", "Assume Liam is a knave. No contradiction is found in their false claim that Jackson is a knight if and only if Victoria is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('lying', 4)), ('or', ('telling-truth', 4), ('lying', 4)), ('<=>', ('telling-truth', 1), ('lying', 4)), ('<=>', ('lying', 0), ('telling-truth', 4)), ('or', ('telling-truth', 3), ('telling-truth', 1)))", "index": 1041}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aria, Lucas, Ella, Alexander, and Sofia. Aria stated, \"Aria is a knight or Sofia is a knave\". According to Lucas, \"Sofia is a knave and Alexander is a knight\". Ella asserted: \"Alexander is a knight if and only if Alexander is a knave\". Alexander said that If Sofia is a knight then Lucas is a knave. Sofia was heard saying, \"Lucas is a knight and Sofia is a knight\". So who is a knight and who is a knave?", "names": ["Aria", "Lucas", "Ella", "Alexander", "Sofia"], "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": "Aria is a knight, Lucas is a knight, Ella is a knave, Alexander is a knight, and Sofia is a knave.", "solution_text_format": "(1) Aria is a knight\n(2) Lucas is a knight\n(3) Ella is a knave\n(4) Alexander is a knight\n(5) Sofia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aria is a knight. No contradiction is found in their claim that Aria is a knight or Sofia is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that Lucas is a knight and Sofia is a knight.", "Lucas cannot be a knight, because this would contradict the claim of their own that Sofia is a knave and Alexander is a knight.", "Lucas cannot be a knave, because this would contradict the claim of Sofia that Lucas is a knight and Sofia is a knight.", "We have exhausted all possibilities for Lucas, so let us go back and reconsider Sofia.", "Assume Sofia is a knave. No contradiction is found in their false claim that Lucas is a knight and Sofia is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that Sofia is a knave and Alexander is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that If Sofia is a knight then Lucas is a knave.", "Ella 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 Ella is a knave. No contradiction is found in their false claim that Alexander is a knight if and only if Alexander is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 0), ('lying', 4)), ('and', ('lying', 4), ('telling-truth', 3)), ('<=>', ('telling-truth', 3), ('lying', 3)), ('->', ('telling-truth', 4), ('lying', 1)), ('and', ('telling-truth', 1), ('telling-truth', 4)))", "index": 1042}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Mason, Ava, Sophia, Liam, and Aurora. \"Liam is a knight,\" Mason mentioned. Ava was heard saying, \"Mason is a knight if and only if Liam is a knave\". Sophia commented, \"If Ava is a knight then Sophia is a knight\". Liam remarked, \"Liam is a knight and Ava is a knight\". In Aurora's words: \"Mason is a knight\". So who is a knight and who is a knave?", "names": ["Mason", "Ava", "Sophia", "Liam", "Aurora"], "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": "Mason is a knave, Ava is a knave, Sophia is a knight, Liam is a knave, and Aurora is a knave.", "solution_text_format": "(1) Mason is a knave\n(2) Ava is a knave\n(3) Sophia is a knight\n(4) Liam is a knave\n(5) Aurora is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Mason is a knight. No contradiction is found in their claim that Liam is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that Liam is a knight and Ava is a knight.", "Ava cannot be a knight, because this would contradict the claim of their own that Mason is a knight if and only if Liam is a knave.", "Ava cannot be a knave, because this would contradict the claim of Liam that Liam is a knight and Ava is a knight.", "We have exhausted all possibilities for Ava, so let us go back and reconsider Liam.", "Liam cannot be a knave, because this would contradict the claim of Mason that Liam is a knight.", "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 Liam is a knight.", "Liam cannot be a knight, because this would contradict the false claim of Mason that Liam is a knight.", "Assume Liam is a knave. No contradiction is found in their false claim that Liam is a knight and Ava is a knight.", "Ava cannot be a knight, because this would contradict the claim of their own that Mason is a knight if and only if Liam is a knave.", "Assume Ava is a knave. No contradiction is found in their false claim that Mason is a knight if and only if Liam is a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that If Ava is a knight then Sophia is a knight.", "Aurora cannot be a knight, because this would contradict the claim of their own that Mason is a knight.", "Assume Aurora is a knave. No contradiction is found in their false claim that Mason is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 3), ('<=>', ('telling-truth', 0), ('lying', 3)), ('->', ('telling-truth', 1), ('telling-truth', 2)), ('and', ('telling-truth', 3), ('telling-truth', 1)), ('telling-truth', 0))", "index": 1043}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aria, James, Sofia, Aiden, and Chloe. Aria said that Sofia is a knight or Aria is a knight. \"Aria is not a knight\" - James. Sofia was heard saying, \"James is not a knave\". Aiden remarked, \"James is not a knight\". As Chloe put it, \"Aria is a knight or Chloe is a knight\". So who is a knight and who is a knave?", "names": ["Aria", "James", "Sofia", "Aiden", "Chloe"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, true], "solution_text": "Aria is a knight, James is a knave, Sofia is a knave, Aiden is a knight, and Chloe is a knight.", "solution_text_format": "(1) Aria is a knight\n(2) James is a knave\n(3) Sofia is a knave\n(4) Aiden is a knight\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 Aria is a knight. No contradiction is found in their claim that Sofia is a knight or Aria is a knight.", "Assume Sofia is a knight. No contradiction is found in their claim that James is not a knave.", "James cannot be a knight, because this would contradict the claim of their own that Aria is not a knight.", "James cannot be a knave, because this would contradict the claim of Sofia that James is not a knave.", "We have exhausted all possibilities for James, so let us go back and reconsider Sofia.", "Assume Sofia is a knave. No contradiction is found in their false claim that James is not a knave.", "James cannot be a knight, because this would contradict the claim of their own that Aria is not a knight.", "Assume James is a knave. No contradiction is found in their false claim that Aria is not a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that James is not a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that Aria is a knight or Chloe is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 2), ('telling-truth', 0)), ('not', ('telling-truth', 0)), ('not', ('lying', 1)), ('not', ('telling-truth', 1)), ('or', ('telling-truth', 0), ('telling-truth', 4)))", "index": 1044}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Sebastian, Jackson, Emily, Victoria, and Samuel. Sebastian stated, \"Samuel is not a knight\". \"Emily is a knight and Emily is a knave\" - Jackson. As Emily put it, \"Sebastian is a knight or Samuel is a knave\". Victoria stated, \"Emily is a knight and Sebastian is a knave\". Samuel stated, \"Victoria is a knight and Victoria is a knave\". So who is a knight and who is a knave?", "names": ["Sebastian", "Jackson", "Emily", "Victoria", "Samuel"], "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": "Sebastian is a knight, Jackson is a knave, Emily is a knight, Victoria is a knave, and Samuel is a knave.", "solution_text_format": "(1) Sebastian is a knight\n(2) Jackson is a knave\n(3) Emily is a knight\n(4) Victoria is a knave\n(5) Samuel is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sebastian is a knight. No contradiction is found in their claim that Samuel is not a knight.", "Samuel cannot be a knight, because this would contradict the claim of Sebastian that Samuel is not a knight.", "Assume Samuel is a knave. No contradiction is found in their false claim that Victoria is a knight and Victoria is a knave.", "Victoria cannot be a knight, because this would contradict the claim of their own that Emily is a knight and Sebastian is a knave.", "Assume Victoria is a knave. No contradiction is found in their false claim that Emily is a knight and Sebastian is a knave.", "Assume Emily is a knight. No contradiction is found in their claim that Sebastian is a knight or Samuel is a knave.", "Jackson cannot be a knight, because this would contradict the claim of their own that Emily is a knight and Emily is a knave.", "Assume Jackson is a knave. No contradiction is found in their false claim that Emily is a knight and Emily is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 4)), ('and', ('telling-truth', 2), ('lying', 2)), ('or', ('telling-truth', 0), ('lying', 4)), ('and', ('telling-truth', 2), ('lying', 0)), ('and', ('telling-truth', 3), ('lying', 3)))", "index": 1045}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Mason, Samuel, Henry, Scarlett, and Riley. Mason said, \"Scarlett is a knave.\" Samuel was heard saying, \"If Henry is a knight then Riley is a knight\". According to Henry, \"Samuel is a knight and Samuel is a knave\". In a statement by Scarlett: \"Mason is a knight and Riley is a knight\". In a statement by Riley: \"Scarlett is a knight\". So who is a knight and who is a knave?", "names": ["Mason", "Samuel", "Henry", "Scarlett", "Riley"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false, false], "solution_text": "Mason is a knight, Samuel is a knight, Henry is a knave, Scarlett is a knave, and Riley is a knave.", "solution_text_format": "(1) Mason is a knight\n(2) Samuel is a knight\n(3) Henry is a knave\n(4) Scarlett 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 Mason is a knight. No contradiction is found in their claim that Scarlett is a knave.", "Scarlett cannot be a knight, because this would contradict the claim of Mason that Scarlett is a knave.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Mason is a knight and Riley is a knight.", "Riley cannot be a knight, because this would contradict the false claim of Scarlett that Mason is a knight and Riley is a knight.", "Assume Riley is a knave. No contradiction is found in their false claim that Scarlett is a knight.", "Assume Samuel is a knight. No contradiction is found in their claim that If Henry is a knight then Riley is a knight.", "Henry cannot be a knight, because this would contradict the claim of Samuel that If Henry is a knight then Riley is a knight.", "Assume Henry is a knave. No contradiction is found in their false claim that Samuel is a knight and Samuel is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 3), ('->', ('telling-truth', 2), ('telling-truth', 4)), ('and', ('telling-truth', 1), ('lying', 1)), ('and', ('telling-truth', 0), ('telling-truth', 4)), ('telling-truth', 3))", "index": 1046}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: William, Joseph, Amelia, James, and Grace. William asserted: \"Grace is a knight or Joseph is a knight\". Joseph expressed that If Joseph is a knight then Grace is a knight. \"If James is a knight then James is a knave,\" Amelia mentioned. James noted, \"If Amelia is a knight then Joseph is a knight\". \"William is not a knave,\" Grace mentioned. So who is a knight and who is a knave?", "names": ["William", "Joseph", "Amelia", "James", "Grace"], "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": "William is a knight, Joseph is a knight, Amelia is a knave, James is a knight, and Grace is a knight.", "solution_text_format": "(1) William is a knight\n(2) Joseph is a knight\n(3) Amelia is a knave\n(4) James 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 William is a knight. No contradiction is found in their claim that Grace is a knight or Joseph is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that William is not a knave.", "Assume Joseph is a knight. No contradiction is found in their claim that If Joseph is a knight then Grace is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that If James is a knight then James is a knave.", "James cannot be a knight, because this would contradict the claim of Amelia that If James is a knight then James is a knave.", "James cannot be a knave, because this would contradict the false claim of their own that If Amelia is a knight then Joseph is a knight.", "We have exhausted all possibilities for James, so let us go back and reconsider Amelia.", "Assume Amelia is a knave. No contradiction is found in their false claim that If James is a knight then James is a knave.", "Assume James is a knight. No contradiction is found in their claim that If Amelia is a knight then Joseph is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 4), ('telling-truth', 1)), ('->', ('telling-truth', 1), ('telling-truth', 4)), ('->', ('telling-truth', 3), ('lying', 3)), ('->', ('telling-truth', 2), ('telling-truth', 1)), ('not', ('lying', 0)))", "index": 1047}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Alexander, Michael, Isabella, Riley, and Sebastian. As Alexander put it, \"Sebastian is a knight and Isabella is a knight\". According to Michael, \"Sebastian is a knave or Riley is a knight\". Isabella was heard saying, \"Isabella is a knight and Michael is a knave\". In Riley's words: \"Sebastian is a knave or Alexander is a knight\". In a statement by Sebastian: \"Alexander is a knave\". So who is a knight and who is a knave?", "names": ["Alexander", "Michael", "Isabella", "Riley", "Sebastian"], "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": "Alexander is a knave, Michael is a knave, Isabella is a knave, Riley is a knave, and Sebastian is a knight.", "solution_text_format": "(1) Alexander is a knave\n(2) Michael is a knave\n(3) Isabella is a knave\n(4) Riley is a knave\n(5) Sebastian is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Alexander is a knight. No contradiction is found in their claim that Sebastian is a knight and Isabella is a knight.", "Sebastian cannot be a knight, because this would contradict the claim of their own that Alexander is a knave.", "Sebastian cannot be a knave, because this would contradict the claim of Alexander that Sebastian is a knight and Isabella is a knight.", "We have exhausted all possibilities for Sebastian, so let us go back and reconsider Alexander.", "Assume Alexander is a knave. No contradiction is found in their false claim that Sebastian is a knight and Isabella is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Alexander is a knave.", "Isabella cannot be a knight, because this would contradict the false claim of Alexander that Sebastian is a knight and Isabella is a knight.", "Assume Isabella is a knave. No contradiction is found in their false claim that Isabella is a knight and Michael is a knave.", "Assume Michael is a knight. No contradiction is found in their claim that Sebastian is a knave or Riley is a knight.", "Riley cannot be a knight, because this would contradict the claim of their own that Sebastian is a knave or Alexander is a knight.", "Riley cannot be a knave, because this would contradict the claim of Michael that Sebastian is a knave or Riley is a knight.", "We have exhausted all possibilities for Riley, so let us go back and reconsider Michael.", "Assume Michael is a knave. No contradiction is found in their false claim that Sebastian is a knave or Riley is a knight.", "Riley cannot be a knight, because this would contradict the false claim of Michael that Sebastian is a knave or Riley is a knight.", "Assume Riley is a knave. No contradiction is found in their false claim that Sebastian is a knave or Alexander is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 4), ('telling-truth', 2)), ('or', ('lying', 4), ('telling-truth', 3)), ('and', ('telling-truth', 2), ('lying', 1)), ('or', ('lying', 4), ('telling-truth', 0)), ('lying', 0))", "index": 1048}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Jackson, Aiden, Victoria, Matthew, and Emily. \"Victoria is a knight if and only if Aiden is a knight,\" Jackson declared. Aiden expressed that Matthew is not a knight. Victoria stated, \"If Emily is a knave then Jackson is a knave\". Matthew commented, \"If Jackson is a knight then Aiden is a knight\". Emily noted, \"Victoria is a knave or Aiden is a knight\". So who is a knight and who is a knave?", "names": ["Jackson", "Aiden", "Victoria", "Matthew", "Emily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true, false], "solution_text": "Jackson is a knave, Aiden is a knave, Victoria is a knight, Matthew is a knight, and Emily is a knave.", "solution_text_format": "(1) Jackson is a knave\n(2) Aiden is a knave\n(3) Victoria is a knight\n(4) Matthew 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 Jackson is a knight. No contradiction is found in their claim that Victoria is a knight if and only if Aiden is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that If Emily is a knave then Jackson is a knave.", "Assume Emily is a knight. No contradiction is found in their claim that Victoria is a knave or Aiden is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that Matthew is not a knight.", "Matthew cannot be a knight, because this would contradict the claim of Aiden that Matthew is not a knight.", "Matthew cannot be a knave, because this would contradict the false claim of their own that If Jackson is a knight then Aiden is a knight.", "We have exhausted all possibilities for Matthew, so let us go back and reconsider Aiden.", "Aiden cannot be a knave, because this would contradict the claim of Jackson that Victoria is a knight if and only if Aiden is a knight.", "We have exhausted all possibilities for Aiden, so let us go back and reconsider Emily.", "Emily cannot be a knave, because this would contradict the claim of Victoria that If Emily is a knave then Jackson is a knave.", "We have exhausted all possibilities for Emily, so let us go back and reconsider Victoria.", "Assume Victoria is a knave. No contradiction is found in their false claim that If Emily is a knave then Jackson is a knave.", "Emily cannot be a knight, because this would contradict the false claim of Victoria that If Emily is a knave then Jackson is a knave.", "Emily cannot be a knave, because this would contradict the false claim of their own that Victoria is a knave or Aiden is a knight.", "We have exhausted all possibilities for Emily and Victoria, so let us go back and reconsider Jackson.", "Assume Jackson is a knave. No contradiction is found in their false claim that Victoria is a knight if and only if Aiden is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that If Emily is a knave then Jackson is a knave.", "Assume Emily is a knight. No contradiction is found in their claim that Victoria is a knave or Aiden is a knight.", "Aiden cannot be a knight, because this would contradict the false claim of Jackson that Victoria is a knight if and only if Aiden is a knight.", "Aiden cannot be a knave, because this would contradict the claim of Emily that Victoria is a knave or Aiden is a knight.", "We have exhausted all possibilities for Aiden, so let us go back and reconsider Emily.", "Assume Emily is a knave. No contradiction is found in their false claim that Victoria is a knave or Aiden is a knight.", "Aiden cannot be a knight, because this would contradict the false claim of Jackson that Victoria is a knight if and only if Aiden is a knight.", "Assume Aiden is a knave. No contradiction is found in their false claim that Matthew is not a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that If Jackson is a knight then Aiden is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 2), ('telling-truth', 1)), ('not', ('telling-truth', 3)), ('->', ('lying', 4), ('lying', 0)), ('->', ('telling-truth', 0), ('telling-truth', 1)), ('or', ('lying', 2), ('telling-truth', 1)))", "index": 1049}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Riley, Zoey, Aria, Jacob, and Benjamin. As Riley put it, \"If Benjamin is a knave then Aria is a knight\". Zoey stated, \"Riley is a knave if and only if Benjamin is a knight\". In a statement by Aria: \"Riley is a knave\". Jacob stated, \"Benjamin is a knight if and only if Zoey is a knight\". As Benjamin put it, \"Jacob is a knight or Aria is a knave\". So who is a knight and who is a knave?", "names": ["Riley", "Zoey", "Aria", "Jacob", "Benjamin"], "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": "Riley is a knight, Zoey is a knave, Aria is a knave, Jacob is a knave, and Benjamin is a knight.", "solution_text_format": "(1) Riley is a knight\n(2) Zoey is a knave\n(3) Aria is a knave\n(4) Jacob is a knave\n(5) 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 Riley is a knight. No contradiction is found in their claim that If Benjamin is a knave then Aria is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that Jacob is a knight or Aria is a knave.", "Assume Jacob is a knight. No contradiction is found in their claim that Benjamin is a knight if and only if Zoey is a knight.", "Zoey cannot be a knight, because this would contradict the claim of their own that Riley is a knave if and only if Benjamin is a knight.", "Zoey cannot be a knave, because this would contradict the claim of Jacob that Benjamin is a knight if and only if Zoey is a knight.", "We have exhausted all possibilities for Zoey, so let us go back and reconsider Jacob.", "Assume Jacob is a knave. No contradiction is found in their false claim that Benjamin is a knight if and only if Zoey is a knight.", "Zoey cannot be a knight, because this would contradict the claim of their own that Riley is a knave if and only if Benjamin is a knight.", "Assume Zoey is a knave. No contradiction is found in their false claim that Riley is a knave if and only if Benjamin is a knight.", "Aria cannot be a knight, because this would contradict the claim of their own that Riley is a knave.", "Assume Aria is a knave. No contradiction is found in their false claim that Riley is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 4), ('telling-truth', 2)), ('<=>', ('lying', 0), ('telling-truth', 4)), ('lying', 0), ('<=>', ('telling-truth', 4), ('telling-truth', 1)), ('or', ('telling-truth', 3), ('lying', 2)))", "index": 1050}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: James, Oliver, Olivia, Jacob, and Benjamin. As James put it, \"Jacob is a knight or James is a knight\". Oliver said that James is a knave. Olivia told you that If Benjamin is a knight then Oliver is a knave. In Jacob's words: \"If Olivia is a knave then Oliver is a knight\". Benjamin told you that James is a knight and Oliver is a knight. So who is a knight and who is a knave?", "names": ["James", "Oliver", "Olivia", "Jacob", "Benjamin"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, false], "solution_text": "James is a knight, Oliver is a knave, Olivia is a knight, Jacob is a knight, and Benjamin is a knave.", "solution_text_format": "(1) James is a knight\n(2) Oliver is a knave\n(3) Olivia is a knight\n(4) Jacob is a knight\n(5) Benjamin is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume James is a knight. No contradiction is found in their claim that Jacob is a knight or James is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that If Olivia is a knave then Oliver is a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that If Benjamin is a knight then Oliver is a knave.", "Assume Benjamin is a knight. No contradiction is found in their claim that James is a knight and Oliver is a knight.", "Oliver cannot be a knight, because this would contradict the claim of their own that James is a knave.", "Oliver cannot be a knave, because this would contradict the claim of Benjamin that James is a knight and Oliver is a knight.", "We have exhausted all possibilities for Oliver, so let us go back and reconsider Benjamin.", "Assume Benjamin is a knave. No contradiction is found in their false claim that James is a knight and Oliver is a knight.", "Oliver cannot be a knight, because this would contradict the claim of their own that James is a knave.", "Assume Oliver is a knave. No contradiction is found in their false claim that James is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 3), ('telling-truth', 0)), ('lying', 0), ('->', ('telling-truth', 4), ('lying', 1)), ('->', ('lying', 2), ('telling-truth', 1)), ('and', ('telling-truth', 0), ('telling-truth', 1)))", "index": 1051}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Elizabeth, Ethan, Logan, Sophia, and Victoria. Elizabeth said, \"Victoria is a knight and Ethan is a knight.\" Ethan told you that Sophia is not a knave. \"Ethan is a knight,\" Logan claimed. Sophia remarked, \"If Elizabeth is a knave then Logan is a knave\". Victoria asserted: \"Victoria is a knight and Elizabeth is a knight\". So who is a knight and who is a knave?", "names": ["Elizabeth", "Ethan", "Logan", "Sophia", "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": "Elizabeth is a knight, Ethan is a knight, Logan is a knight, Sophia is a knight, and Victoria is a knight.", "solution_text_format": "(1) Elizabeth is a knight\n(2) Ethan is a knight\n(3) Logan is a knight\n(4) Sophia 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 Elizabeth is a knight. No contradiction is found in their claim that Victoria is a knight and Ethan is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that Victoria is a knight and Elizabeth is a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that Sophia is not a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that If Elizabeth is a knave then Logan is a knave.", "Assume Logan is a knight. No contradiction is found in their claim that Ethan is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 4), ('telling-truth', 1)), ('not', ('lying', 3)), ('telling-truth', 1), ('->', ('lying', 0), ('lying', 2)), ('and', ('telling-truth', 4), ('telling-truth', 0)))", "index": 1052}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Logan, Emma, Sofia, Ella, and Owen. Logan noted, \"If Ella is a knave then Emma is a knave\". Emma said that If Logan is a knight then Sofia is a knight. Sofia said, \"Emma is a knight and Sofia is a knight.\" Ella commented, \"If Logan is a knight then Sofia is a knave\". \"Emma is a knight,\" Owen declared. So who is a knight and who is a knave?", "names": ["Logan", "Emma", "Sofia", "Ella", "Owen"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, false], "solution_text": "Logan is a knight, Emma is a knave, Sofia is a knave, Ella is a knight, and Owen is a knave.", "solution_text_format": "(1) Logan is a knight\n(2) Emma is a knave\n(3) Sofia is a knave\n(4) Ella is a knight\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 Logan is a knight. No contradiction is found in their claim that If Ella is a knave then Emma is a knave.", "Assume Ella is a knight. No contradiction is found in their claim that If Logan is a knight then Sofia is a knave.", "Sofia cannot be a knight, because this would contradict the claim of Ella that If Logan is a knight then Sofia is a knave.", "Assume Sofia is a knave. No contradiction is found in their false claim that Emma is a knight and Sofia is a knight.", "Emma cannot be a knight, because this would contradict the claim of their own that If Logan is a knight then Sofia is a knight.", "Assume Emma is a knave. No contradiction is found in their false claim that If Logan is a knight then Sofia is a knight.", "Owen cannot be a knight, because this would contradict the claim of their own that Emma is a knight.", "Assume Owen is a knave. No contradiction is found in their false claim that Emma is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 3), ('lying', 1)), ('->', ('telling-truth', 0), ('telling-truth', 2)), ('and', ('telling-truth', 1), ('telling-truth', 2)), ('->', ('telling-truth', 0), ('lying', 2)), ('telling-truth', 1))", "index": 1053}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aria, Victoria, Elizabeth, Mia, and Evelyn. In a statement by Aria: \"Aria is a knight and Elizabeth is a knight\". Victoria stated, \"Aria is a knight\". Elizabeth remarked, \"If Aria is a knight then Victoria is a knight\". Mia told you that Evelyn is a knight. \"If Aria is a knight then Mia is a knave,\" Evelyn mentioned. So who is a knight and who is a knave?", "names": ["Aria", "Victoria", "Elizabeth", "Mia", "Evelyn"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true, true], "solution_text": "Aria is a knave, Victoria is a knave, Elizabeth is a knight, Mia is a knight, and Evelyn is a knight.", "solution_text_format": "(1) Aria is a knave\n(2) Victoria is a knave\n(3) Elizabeth is a knight\n(4) Mia is a knight\n(5) Evelyn is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aria is a knight. No contradiction is found in their claim that Aria is a knight and Elizabeth is a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that If Aria is a knight then Victoria is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that Aria is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that Evelyn is a knight.", "Evelyn cannot be a knight, because this would contradict the claim of their own that If Aria is a knight then Mia is a knave.", "Evelyn cannot be a knave, because this would contradict the claim of Mia that Evelyn is a knight.", "We have exhausted all possibilities for Evelyn, so let us go back and reconsider Mia.", "Assume Mia is a knave. No contradiction is found in their false claim that Evelyn is a knight.", "Evelyn cannot be a knight, because this would contradict the false claim of Mia that Evelyn is a knight.", "Evelyn cannot be a knave, because this would contradict the false claim of their own that If Aria is a knight then Mia is a knave.", "We have exhausted all possibilities for Evelyn and Mia, so let us go back and reconsider Victoria.", "Victoria cannot be a knave, because this would contradict the false claim of their own that Aria is a knight.", "We have exhausted all possibilities for Victoria, so let us go back and reconsider Elizabeth.", "Elizabeth cannot be a knave, because this would contradict the claim of Aria that Aria is a knight and Elizabeth is a knight.", "We have exhausted all possibilities for Elizabeth, so let us go back and reconsider Aria.", "Assume Aria is a knave. No contradiction is found in their false claim that Aria is a knight and Elizabeth is a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that If Aria is a knight then Victoria is a knight.", "Victoria cannot be a knight, because this would contradict the claim of their own that Aria is a knight.", "Assume Victoria is a knave. No contradiction is found in their false claim that Aria is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that Evelyn is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that If Aria is a knight then Mia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 0), ('telling-truth', 2)), ('telling-truth', 0), ('->', ('telling-truth', 0), ('telling-truth', 1)), ('telling-truth', 4), ('->', ('telling-truth', 0), ('lying', 3)))", "index": 1054}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aiden, Logan, Sebastian, Emma, and Grace. Aiden expressed that Emma is a knave and Grace is a knight. In a statement by Logan: \"Sebastian is a knight and Grace is a knave\". Sebastian told you that Emma is a knight. \"Grace is a knave or Grace is a knight,\" Emma mentioned. In Grace's words: \"Aiden is not a knight\". So who is a knight and who is a knave?", "names": ["Aiden", "Logan", "Sebastian", "Emma", "Grace"], "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": "Aiden is a knave, Logan is a knave, Sebastian is a knight, Emma is a knight, and Grace is a knight.", "solution_text_format": "(1) Aiden is a knave\n(2) Logan is a knave\n(3) Sebastian is a knight\n(4) Emma 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 Aiden is a knight. No contradiction is found in their claim that Emma is a knave and Grace is a knight.", "Emma cannot be a knight, because this would contradict the claim of Aiden that Emma is a knave and Grace is a knight.", "Emma cannot be a knave, because this would contradict the false claim of their own that Grace is a knave or Grace is a knight.", "We have exhausted all possibilities for Emma, so let us go back and reconsider Aiden.", "Assume Aiden is a knave. No contradiction is found in their false claim that Emma is a knave and Grace is a knight.", "Assume Emma is a knight. No contradiction is found in their claim that Grace is a knave or Grace is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that Aiden is not a knight.", "Logan cannot be a knight, because this would contradict the claim of their own that Sebastian is a knight and Grace is a knave.", "Assume Logan is a knave. No contradiction is found in their false claim that Sebastian is a knight and Grace is a knave.", "Assume Sebastian is a knight. No contradiction is found in their claim that Emma is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 3), ('telling-truth', 4)), ('and', ('telling-truth', 2), ('lying', 4)), ('telling-truth', 3), ('or', ('lying', 4), ('telling-truth', 4)), ('not', ('telling-truth', 0)))", "index": 1055}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Abigail, Noah, Aiden, Sofia, and Mia. Abigail expressed that Noah is a knight. Noah said, \"Abigail is a knave and Sofia is a knave.\" Aiden noted, \"Noah is a knight\". Sofia asserted: \"Sofia is a knight or Abigail is a knave\". Mia told you that Abigail is a knight if and only if Noah is a knave. So who is a knight and who is a knave?", "names": ["Abigail", "Noah", "Aiden", "Sofia", "Mia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true, false], "solution_text": "Abigail is a knave, Noah is a knave, Aiden is a knave, Sofia is a knight, and Mia is a knave.", "solution_text_format": "(1) Abigail is a knave\n(2) Noah is a knave\n(3) Aiden is a knave\n(4) Sofia is a knight\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 Abigail is a knight. No contradiction is found in their claim that Noah is a knight.", "Noah cannot be a knight, because this would contradict the claim of their own that Abigail is a knave and Sofia is a knave.", "Noah cannot be a knave, because this would contradict the claim of Abigail that Noah is a knight.", "We have exhausted all possibilities for Noah, so let us go back and reconsider Abigail.", "Assume Abigail is a knave. No contradiction is found in their false claim that Noah is a knight.", "Noah cannot be a knight, because this would contradict the false claim of Abigail that Noah is a knight.", "Assume Noah is a knave. No contradiction is found in their false claim that Abigail is a knave and Sofia is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that Sofia is a knight or Abigail is a knave.", "Aiden cannot be a knight, because this would contradict the claim of their own that Noah is a knight.", "Assume Aiden is a knave. No contradiction is found in their false claim that Noah is a knight.", "Mia cannot be a knight, because this would contradict the claim of their own that Abigail is a knight if and only if Noah is a knave.", "Assume Mia is a knave. No contradiction is found in their false claim that Abigail is a knight if and only if Noah is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 1), ('and', ('lying', 0), ('lying', 3)), ('telling-truth', 1), ('or', ('telling-truth', 3), ('lying', 0)), ('<=>', ('telling-truth', 0), ('lying', 1)))", "index": 1056}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Zoey, Ella, Ethan, Sophia, and Chloe. As Zoey put it, \"If Ethan is a knight then Chloe is a knight\". \"Sophia is not a knave,\" Ella claimed. Ethan said, \"Zoey is a knave.\" Sophia asserted: \"If Ethan is a knave then Chloe is a knight\". Chloe remarked, \"Zoey is a knight or Ella is a knight\". So who is a knight and who is a knave?", "names": ["Zoey", "Ella", "Ethan", "Sophia", "Chloe"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true, true], "solution_text": "Zoey is a knight, Ella is a knight, Ethan is a knave, Sophia is a knight, and Chloe is a knight.", "solution_text_format": "(1) Zoey is a knight\n(2) Ella is a knight\n(3) Ethan is a knave\n(4) Sophia is a knight\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 Zoey is a knight. No contradiction is found in their claim that If Ethan is a knight then Chloe is a knight.", "Ethan cannot be a knight, because this would contradict the claim of their own that Zoey is a knave.", "Assume Ethan is a knave. No contradiction is found in their false claim that Zoey is a knave.", "Assume Chloe is a knight. No contradiction is found in their claim that Zoey is a knight or Ella is a knight.", "Assume Ella is a knight. No contradiction is found in their claim that Sophia is not a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that If Ethan is a knave then Chloe is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 2), ('telling-truth', 4)), ('not', ('lying', 3)), ('lying', 0), ('->', ('lying', 2), ('telling-truth', 4)), ('or', ('telling-truth', 0), ('telling-truth', 1)))", "index": 1057}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Amelia, Zoey, Avery, Lily, and Daniel. In Amelia's words: \"If Daniel is a knave then Lily is a knight\". Zoey asserted: \"Avery is a knave and Avery is a knight\". In Avery's words: \"Lily is not a knight\". \"Daniel is a knight or Avery is a knight,\" Lily declared. \"Daniel is a knight and Amelia is a knight,\" Daniel declared. So who is a knight and who is a knave?", "names": ["Amelia", "Zoey", "Avery", "Lily", "Daniel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, true], "solution_text": "Amelia is a knight, Zoey is a knave, Avery is a knave, Lily is a knight, and Daniel is a knight.", "solution_text_format": "(1) Amelia is a knight\n(2) Zoey is a knave\n(3) Avery is a knave\n(4) Lily 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 Amelia is a knight. No contradiction is found in their claim that If Daniel is a knave then Lily is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that Daniel is a knight and Amelia is a knight.", "Assume Lily is a knight. No contradiction is found in their claim that Daniel is a knight or Avery is a knight.", "Avery cannot be a knight, because this would contradict the claim of their own that Lily is not a knight.", "Assume Avery is a knave. No contradiction is found in their false claim that Lily is not a knight.", "Zoey cannot be a knight, because this would contradict the claim of their own that Avery is a knave and Avery is a knight.", "Assume Zoey is a knave. No contradiction is found in their false claim that Avery is a knave and Avery is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 4), ('telling-truth', 3)), ('and', ('lying', 2), ('telling-truth', 2)), ('not', ('telling-truth', 3)), ('or', ('telling-truth', 4), ('telling-truth', 2)), ('and', ('telling-truth', 4), ('telling-truth', 0)))", "index": 1058}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Lucas, Charlotte, Oliver, William, and Benjamin. According to Lucas, \"Lucas is a knight if and only if Oliver is a knave\". \"Oliver is a knight if and only if Lucas is a knight,\" Charlotte claimed. \"If Charlotte is a knave then Benjamin is a knight,\" Oliver declared. William said that Benjamin is a knight. \"William is a knight,\" Benjamin claimed. So who is a knight and who is a knave?", "names": ["Lucas", "Charlotte", "Oliver", "William", "Benjamin"], "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": "Lucas is a knight, Charlotte is a knave, Oliver is a knave, William is a knave, and Benjamin is a knave.", "solution_text_format": "(1) Lucas is a knight\n(2) Charlotte is a knave\n(3) Oliver is a knave\n(4) William is a knave\n(5) Benjamin is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Lucas is a knight. No contradiction is found in their claim that Lucas is a knight if and only if Oliver is a knave.", "Oliver cannot be a knight, because this would contradict the claim of Lucas that Lucas is a knight if and only if Oliver is a knave.", "Assume Oliver is a knave. No contradiction is found in their false claim that If Charlotte is a knave then Benjamin is a knight.", "Charlotte cannot be a knight, because this would contradict the claim of their own that Oliver is a knight if and only if Lucas is a knight.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Oliver is a knight if and only if Lucas is a knight.", "Benjamin cannot be a knight, because this would contradict the false claim of Oliver that If Charlotte is a knave then Benjamin is a knight.", "Assume Benjamin is a knave. No contradiction is found in their false claim that William is a knight.", "William cannot be a knight, because this would contradict the claim of their own that Benjamin is a knight.", "Assume William is a knave. No contradiction is found in their false claim that Benjamin is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 0), ('lying', 2)), ('<=>', ('telling-truth', 2), ('telling-truth', 0)), ('->', ('lying', 1), ('telling-truth', 4)), ('telling-truth', 4), ('telling-truth', 3))", "index": 1059}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Samuel, Victoria, Liam, Charlotte, and Isabella. \"Samuel is a knight and Isabella is a knave,\" Samuel declared. Victoria noted, \"Samuel is a knave\". \"Charlotte is a knight\" - Liam. Charlotte said that If Victoria is a knight then Samuel is a knave. Isabella commented, \"Liam is a knight if and only if Victoria is a knave\". So who is a knight and who is a knave?", "names": ["Samuel", "Victoria", "Liam", "Charlotte", "Isabella"], "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": "Samuel is a knave, Victoria is a knight, Liam is a knight, Charlotte is a knight, and Isabella is a knave.", "solution_text_format": "(1) Samuel is a knave\n(2) Victoria is a knight\n(3) Liam is a knight\n(4) Charlotte 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 Samuel is a knight. No contradiction is found in their claim that Samuel is a knight and Isabella is a knave.", "Isabella cannot be a knight, because this would contradict the claim of Samuel that Samuel is a knight and Isabella is a knave.", "Assume Isabella is a knave. No contradiction is found in their false claim that Liam is a knight if and only if Victoria is a knave.", "Assume Liam is a knight. No contradiction is found in their claim that Charlotte is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that If Victoria is a knight then Samuel is a knave.", "Victoria cannot be a knight, because this would contradict the claim of their own that Samuel is a knave.", "Victoria cannot be a knave, because this would contradict the false claim of Isabella that Liam is a knight if and only if Victoria is a knave.", "We have exhausted all possibilities for Victoria, so let us go back and reconsider Charlotte.", "Charlotte cannot be a knave, because this would contradict the claim of Liam that Charlotte is a knight.", "We have exhausted all possibilities for Charlotte, so let us go back and reconsider Liam.", "Assume Liam is a knave. No contradiction is found in their false claim that Charlotte is a knight.", "Charlotte cannot be a knight, because this would contradict the false claim of Liam that Charlotte is a knight.", "Assume Charlotte is a knave. No contradiction is found in their false claim that If Victoria is a knight then Samuel is a knave.", "Victoria cannot be a knight, because this would contradict the claim of their own that Samuel is a knave.", "Victoria cannot be a knave, because this would contradict the false claim of Charlotte that If Victoria is a knight then Samuel is a knave.", "We have exhausted all possibilities for Victoria, Charlotte, Liam, and Isabella, so let us go back and reconsider Samuel.", "Assume Samuel is a knave. No contradiction is found in their false claim that Samuel is a knight and Isabella is a knave.", "Assume Isabella is a knight. No contradiction is found in their claim that Liam is a knight if and only if Victoria is a knave.", "Assume Liam is a knight. No contradiction is found in their claim that Charlotte is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that If Victoria is a knight then Samuel is a knave.", "Victoria cannot be a knight, because this would contradict the claim of Isabella that Liam is a knight if and only if Victoria is a knave.", "Victoria cannot be a knave, because this would contradict the false claim of their own that Samuel is a knave.", "We have exhausted all possibilities for Victoria, so let us go back and reconsider Charlotte.", "Charlotte cannot be a knave, because this would contradict the claim of Liam that Charlotte is a knight.", "We have exhausted all possibilities for Charlotte, so let us go back and reconsider Liam.", "Assume Liam is a knave. No contradiction is found in their false claim that Charlotte is a knight.", "Charlotte cannot be a knight, because this would contradict the false claim of Liam that Charlotte is a knight.", "Charlotte cannot be a knave, because this would contradict the false claim of their own that If Victoria is a knight then Samuel is a knave.", "We have exhausted all possibilities for Charlotte and Liam, so let us go back and reconsider Isabella.", "Assume Isabella is a knave. No contradiction is found in their false claim that Liam is a knight if and only if Victoria is a knave.", "Assume Liam is a knight. No contradiction is found in their claim that Charlotte is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that If Victoria is a knight then Samuel is a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that Samuel is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 0), ('lying', 4)), ('lying', 0), ('telling-truth', 3), ('->', ('telling-truth', 1), ('lying', 0)), ('<=>', ('telling-truth', 2), ('lying', 1)))", "index": 1060}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Mia, David, Elizabeth, Samuel, and Daniel. Mia stated, \"Samuel is a knight if and only if Daniel is a knave\". David noted, \"Daniel is a knight if and only if Elizabeth is a knave\". Elizabeth expressed that Samuel is a knight or Daniel is a knight. Samuel noted, \"Mia is a knight if and only if David is a knave\". Daniel asserted: \"Mia is a knight\". So who is a knight and who is a knave?", "names": ["Mia", "David", "Elizabeth", "Samuel", "Daniel"], "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": "Mia is a knave, David is a knave, Elizabeth is a knave, Samuel is a knave, and Daniel is a knave.", "solution_text_format": "(1) Mia is a knave\n(2) David is a knave\n(3) Elizabeth is a knave\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 Mia is a knight. No contradiction is found in their claim that Samuel is a knight if and only if Daniel is a knave.", "Assume Samuel is a knight. No contradiction is found in their claim that Mia is a knight if and only if David is a knave.", "David cannot be a knight, because this would contradict the claim of Samuel that Mia 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 Daniel is a knight if and only if Elizabeth is a knave.", "Daniel cannot be a knight, because this would contradict the claim of Mia that Samuel is a knight if and only if Daniel is a knave.", "Daniel cannot be a knave, because this would contradict the false claim of their own that Mia is a knight.", "We have exhausted all possibilities for Daniel and David, so let us go back and reconsider Samuel.", "Assume Samuel is a knave. No contradiction is found in their false claim that Mia is a knight if and only if David is a knave.", "Assume David is a knight. No contradiction is found in their claim that Daniel is a knight if and only if Elizabeth is a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that Mia is a knight.", "Elizabeth cannot be a knight, because this would contradict the claim of David that Daniel is a knight if and only if Elizabeth is a knave.", "Elizabeth cannot be a knave, because this would contradict the false claim of their own that Samuel is a knight or Daniel is a knight.", "We have exhausted all possibilities for Elizabeth, so let us go back and reconsider Daniel.", "Daniel cannot be a knave, because this would contradict the claim of Mia that Samuel is a knight if and only if Daniel is a knave.", "We have exhausted all possibilities for Daniel, so let us go back and reconsider David.", "David cannot be a knave, because this would contradict the false claim of Samuel that Mia is a knight if and only if David is a knave.", "We have exhausted all possibilities for David and Samuel, so let us go back and reconsider Mia.", "Assume Mia is a knave. No contradiction is found in their false claim that Samuel is a knight if and only if Daniel is a knave.", "Assume Samuel is a knight. No contradiction is found in their claim that Mia is a knight if and only if David is a knave.", "Assume David is a knight. No contradiction is found in their claim that Daniel is a knight if and only if Elizabeth is a knave.", "Daniel cannot be a knight, because this would contradict the claim of their own that Mia is a knight.", "Daniel cannot be a knave, because this would contradict the false claim of Mia that Samuel is a knight if and only if Daniel is a knave.", "We have exhausted all possibilities for Daniel, so let us go back and reconsider David.", "David cannot be a knave, because this would contradict the claim of Samuel that Mia is a knight if and only if David is a knave.", "We have exhausted all possibilities for David, so let us go back and reconsider Samuel.", "Assume Samuel is a knave. No contradiction is found in their false claim that Mia is a knight if and only if David is a knave.", "David cannot be a knight, because this would contradict the false claim of Samuel that Mia 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 Daniel is a knight if and only if Elizabeth is a knave.", "Daniel cannot be a knight, because this would contradict the false claim of Mia that Samuel 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 Mia is a knight.", "Elizabeth cannot be a knight, because this would contradict the false claim of David that Daniel is a knight if and only if Elizabeth is a knave.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Samuel is a knight or Daniel is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 3), ('lying', 4)), ('<=>', ('telling-truth', 4), ('lying', 2)), ('or', ('telling-truth', 3), ('telling-truth', 4)), ('<=>', ('telling-truth', 0), ('lying', 1)), ('telling-truth', 0))", "index": 1061}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Abigail, Samuel, Lily, Ava, and Mia. Abigail noted, \"Samuel is a knight\". Samuel stated, \"Ava is a knight if and only if Abigail is a knight\". \"Mia is a knight\" - Lily. In Ava's words: \"Lily is a knight if and only if Ava is a knight\". Mia noted, \"Abigail is a knave\". So who is a knight and who is a knave?", "names": ["Abigail", "Samuel", "Lily", "Ava", "Mia"], "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": "Abigail is a knave, Samuel is a knave, Lily is a knight, Ava is a knight, and Mia is a knight.", "solution_text_format": "(1) Abigail is a knave\n(2) Samuel is a knave\n(3) Lily is a knight\n(4) Ava is a knight\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 Abigail is a knight. No contradiction is found in their claim that Samuel is a knight.", "Assume Samuel is a knight. No contradiction is found in their claim that Ava is a knight if and only if Abigail is a knight.", "Assume Ava is a knight. No contradiction is found in their claim that Lily is a knight if and only if Ava is a knight.", "Assume Lily is a knight. No contradiction is found in their claim that Mia is a knight.", "Mia cannot be a knight, because this would contradict the claim of their own that Abigail is a knave.", "Mia cannot be a knave, because this would contradict the claim of Lily that Mia is a knight.", "We have exhausted all possibilities for Mia, so let us go back and reconsider Lily.", "Lily cannot be a knave, because this would contradict the claim of Ava that Lily is a knight if and only if Ava is a knight.", "We have exhausted all possibilities for Lily, so let us go back and reconsider Ava.", "Ava cannot be a knave, because this would contradict the claim of Samuel that Ava is a knight if and only if Abigail is a knight.", "We have exhausted all possibilities for Ava, so let us go back and reconsider Samuel.", "Samuel cannot be a knave, because this would contradict the claim of Abigail that Samuel is a knight.", "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 Samuel is a knight.", "Samuel cannot be a knight, because this would contradict the false claim of Abigail that Samuel is a knight.", "Assume Samuel is a knave. No contradiction is found in their false claim that Ava is a knight if and only if Abigail is a knight.", "Assume Ava is a knight. No contradiction is found in their claim that Lily is a knight if and only if Ava is a knight.", "Assume Lily is a knight. No contradiction is found in their claim that Mia is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that Abigail is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 1), ('<=>', ('telling-truth', 3), ('telling-truth', 0)), ('telling-truth', 4), ('<=>', ('telling-truth', 2), ('telling-truth', 3)), ('lying', 0))", "index": 1062}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Avery, Aria, Amelia, Alexander, and Benjamin. Avery asserted: \"Amelia is a knight or Benjamin is a knight\". \"If Benjamin is a knave then Amelia is a knight,\" Aria declared. Amelia commented, \"Aria is a knight if and only if Benjamin is a knight\". Alexander noted, \"If Avery is a knave then Aria is a knight\". In Benjamin's words: \"If Alexander is a knight then Benjamin is a knight\". So who is a knight and who is a knave?", "names": ["Avery", "Aria", "Amelia", "Alexander", "Benjamin"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, true], "solution_text": "Avery is a knight, Aria is a knight, Amelia is a knight, Alexander is a knight, and Benjamin is a knight.", "solution_text_format": "(1) Avery is a knight\n(2) Aria is a knight\n(3) Amelia is a knight\n(4) Alexander is a knight\n(5) Benjamin is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Avery is a knight. No contradiction is found in their claim that Amelia is a knight or Benjamin is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that Aria is a knight if and only if Benjamin is a knight.", "Assume Aria is a knight. No contradiction is found in their claim that If Benjamin is a knave then Amelia is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that If Alexander is a knight then Benjamin is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that If Avery is a knave then Aria is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 2), ('telling-truth', 4)), ('->', ('lying', 4), ('telling-truth', 2)), ('<=>', ('telling-truth', 1), ('telling-truth', 4)), ('->', ('lying', 0), ('telling-truth', 1)), ('->', ('telling-truth', 3), ('telling-truth', 4)))", "index": 1063}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Charlotte, Noah, Lucas, Sofia, and Aiden. Charlotte commented, \"Aiden is a knight and Lucas is a knight\". Noah told you that Charlotte is a knight if and only if Aiden is a knave. \"Lucas is a knight if and only if Noah is a knight,\" Lucas claimed. Sofia told you that Noah is not a knave. Aiden said that If Sofia is a knight then Charlotte is a knave. So who is a knight and who is a knave?", "names": ["Charlotte", "Noah", "Lucas", "Sofia", "Aiden"], "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": "Charlotte is a knave, Noah is a knight, Lucas is a knave, Sofia is a knight, and Aiden is a knight.", "solution_text_format": "(1) Charlotte is a knave\n(2) Noah is a knight\n(3) Lucas is a knave\n(4) Sofia 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 Charlotte is a knight. No contradiction is found in their claim that Aiden is a knight and Lucas is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that If Sofia is a knight then Charlotte is a knave.", "Sofia cannot be a knight, because this would contradict the claim of Aiden that If Sofia is a knight then Charlotte is a knave.", "Assume Sofia is a knave. No contradiction is found in their false claim that Noah is not a knave.", "Noah cannot be a knight, because this would contradict the claim of their own that Charlotte is a knight if and only if Aiden is a knave.", "Assume Noah is a knave. No contradiction is found in their false claim that Charlotte is a knight if and only if Aiden is a knave.", "Lucas cannot be a knight, because this would contradict the claim of their own that Lucas is a knight if and only if Noah is a knight.", "Lucas cannot be a knave, because this would contradict the claim of Charlotte that Aiden is a knight and Lucas is a knight.", "We have exhausted all possibilities for Lucas, Noah, and Sofia, so let us go back and reconsider Aiden.", "Aiden cannot be a knave, because this would contradict the claim of Charlotte that Aiden is a knight and Lucas is a knight.", "We have exhausted all possibilities for Aiden, so let us go back and reconsider Charlotte.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Aiden is a knight and Lucas is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that If Sofia is a knight then Charlotte is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that Noah is not a knave.", "Assume Noah is a knight. No contradiction is found in their claim that Charlotte is a knight if and only if Aiden is a knave.", "Lucas cannot be a knight, because this would contradict the false claim of Charlotte that Aiden is a knight and Lucas is a knight.", "Assume Lucas is a knave. No contradiction is found in their false claim that Lucas is a knight if and only if Noah is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 4), ('telling-truth', 2)), ('<=>', ('telling-truth', 0), ('lying', 4)), ('<=>', ('telling-truth', 2), ('telling-truth', 1)), ('not', ('lying', 1)), ('->', ('telling-truth', 3), ('lying', 0)))", "index": 1064}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Sophia, Owen, Daniel, Aiden, and Ethan. Sophia was heard saying, \"Daniel is a knight or Ethan is a knave\". According to Owen, \"Aiden is a knave or Aiden is a knight\". Daniel remarked, \"Sophia is not a knight\". Aiden expressed that If Daniel is a knight then Aiden is a knight. As Ethan put it, \"Owen is a knight and Sophia is a knave\". So who is a knight and who is a knave?", "names": ["Sophia", "Owen", "Daniel", "Aiden", "Ethan"], "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": "Sophia is a knight, Owen is a knight, Daniel is a knave, Aiden is a knight, and Ethan is a knave.", "solution_text_format": "(1) Sophia is a knight\n(2) Owen is a knight\n(3) Daniel is a knave\n(4) Aiden 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 Sophia is a knight. No contradiction is found in their claim that Daniel is a knight or Ethan is a knave.", "Daniel cannot be a knight, because this would contradict the claim of their own that Sophia is not a knight.", "Assume Daniel is a knave. No contradiction is found in their false claim that Sophia is not a knight.", "Ethan cannot be a knight, because this would contradict the claim of Sophia that Daniel is a knight or Ethan is a knave.", "Assume Ethan is a knave. No contradiction is found in their false claim that Owen is a knight and Sophia is a knave.", "Assume Owen is a knight. No contradiction is found in their claim that Aiden is a knave or Aiden is a knight.", "Assume Aiden 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": "(('or', ('telling-truth', 2), ('lying', 4)), ('or', ('lying', 3), ('telling-truth', 3)), ('not', ('telling-truth', 0)), ('->', ('telling-truth', 2), ('telling-truth', 3)), ('and', ('telling-truth', 1), ('lying', 0)))", "index": 1065}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Luke, Michael, Jackson, Emma, and Zoey. In Luke's words: \"Zoey is a knave\". According to Michael, \"If Luke is a knave then Michael is a knight\". Jackson remarked, \"Zoey is a knave if and only if Luke is a knight\". Emma said, \"Michael is a knight and Zoey is a knave.\" Zoey told you that If Michael is a knight then Emma is a knight. So who is a knight and who is a knave?", "names": ["Luke", "Michael", "Jackson", "Emma", "Zoey"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false, true], "solution_text": "Luke is a knave, Michael is a knave, Jackson is a knight, Emma is a knave, and Zoey is a knight.", "solution_text_format": "(1) Luke is a knave\n(2) Michael is a knave\n(3) Jackson is a knight\n(4) Emma 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 Luke 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 Luke that Zoey is a knave.", "Assume Zoey is a knave. No contradiction is found in their false claim that If Michael is a knight then Emma is a knight.", "Assume Michael is a knight. No contradiction is found in their claim that If Luke is a knave then Michael is a knight.", "Emma cannot be a knight, because this would contradict the false claim of Zoey that If Michael is a knight then Emma is a knight.", "Emma cannot be a knave, because this would contradict the false claim of their own that Michael is a knight and Zoey is a knave.", "We have exhausted all possibilities for Emma, so let us go back and reconsider Michael.", "Michael cannot be a knave, because this would contradict the false claim of their own that If Luke is a knave then Michael is a knight.", "We have exhausted all possibilities for Michael and Zoey, so let us go back and reconsider Luke.", "Assume Luke is a knave. No contradiction is found in their false claim that Zoey is a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that If Michael is a knight then Emma is a knight.", "Assume Michael is a knight. No contradiction is found in their claim that If Luke is a knave then Michael is a knight.", "Emma cannot be a knight, because this would contradict the claim of their own that Michael is a knight and Zoey is a knave.", "Emma cannot be a knave, because this would contradict the claim of Zoey that If Michael is a knight then Emma is a knight.", "We have exhausted all possibilities for Emma, so let us go back and reconsider Michael.", "Assume Michael is a knave. No contradiction is found in their false claim that If Luke is a knave then Michael is a knight.", "Emma cannot be a knight, because this would contradict the claim of their own that Michael is a knight and Zoey is a knave.", "Assume Emma is a knave. No contradiction is found in their false claim that Michael is a knight and Zoey is a knave.", "Assume Jackson is a knight. No contradiction is found in their claim that Zoey is a knave if and only if Luke is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 4), ('->', ('lying', 0), ('telling-truth', 1)), ('<=>', ('lying', 4), ('telling-truth', 0)), ('and', ('telling-truth', 1), ('lying', 4)), ('->', ('telling-truth', 1), ('telling-truth', 3)))", "index": 1066}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Harper, Aiden, Elizabeth, Aria, and Mason. Harper remarked, \"Elizabeth is a knight or Aiden is a knight\". \"Aria is a knave and Aiden is a knight,\" Aiden declared. Elizabeth noted, \"Harper is a knight if and only if Harper is a knave\". Aria remarked, \"Mason is a knave\". In a statement by Mason: \"If Aiden is a knight then Harper is a knave\". So who is a knight and who is a knave?", "names": ["Harper", "Aiden", "Elizabeth", "Aria", "Mason"], "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": "Harper is a knave, Aiden is a knave, Elizabeth is a knave, Aria is a knave, and Mason is a knight.", "solution_text_format": "(1) Harper is a knave\n(2) Aiden is a knave\n(3) Elizabeth is a knave\n(4) Aria is a knave\n(5) 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 Harper is a knight. No contradiction is found in their claim that Elizabeth is a knight or Aiden is a knight.", "Elizabeth cannot be a knight, because this would contradict the claim of their own that Harper is a knight if and only if Harper is a knave.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Harper is a knight if and only if Harper is a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that Aria is a knave and Aiden is a knight.", "Aria cannot be a knight, because this would contradict the claim of Aiden that Aria is a knave and Aiden is a knight.", "Assume Aria is a knave. No contradiction is found in their false claim that Mason is a knave.", "Mason cannot be a knight, because this would contradict the claim of their own that If Aiden is a knight then Harper is a knave.", "Mason cannot be a knave, because this would contradict the false claim of Aria that Mason is a knave.", "We have exhausted all possibilities for Mason and Aria, so let us go back and reconsider Aiden.", "Aiden cannot be a knave, because this would contradict the claim of Harper that Elizabeth is a knight or Aiden is a knight.", "We have exhausted all possibilities for Aiden and Elizabeth, so let us go back and reconsider Harper.", "Assume Harper is a knave. No contradiction is found in their false claim that Elizabeth is a knight or Aiden is a knight.", "Elizabeth cannot be a knight, because this would contradict the false claim of Harper that Elizabeth is a knight or Aiden is a knight.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Harper is a knight if and only if Harper is a knave.", "Aiden cannot be a knight, because this would contradict the false claim of Harper that Elizabeth is a knight or Aiden is a knight.", "Assume Aiden is a knave. No contradiction is found in their false claim that Aria is a knave and Aiden is a knight.", "Assume Aria is a knight. No contradiction is found in their claim that Mason is a knave.", "Mason cannot be a knight, because this would contradict the claim of Aria that Mason is a knave.", "Mason cannot be a knave, because this would contradict the false claim of their own that If Aiden is a knight then Harper is a knave.", "We have exhausted all possibilities for Mason, so let us go back and reconsider Aria.", "Assume Aria is a knave. No contradiction is found in their false claim that Mason is a knave.", "Assume Mason is a knight. No contradiction is found in their claim that If Aiden is a knight then Harper is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 2), ('telling-truth', 1)), ('and', ('lying', 3), ('telling-truth', 1)), ('<=>', ('telling-truth', 0), ('lying', 0)), ('lying', 4), ('->', ('telling-truth', 1), ('lying', 0)))", "index": 1067}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Harper, Mason, Ethan, Benjamin, and Victoria. \"Benjamin is a knave\" - Harper. Mason asserted: \"Ethan is a knave and Victoria is a knave\". Ethan was heard saying, \"Victoria is a knight or Harper is a knight\". Benjamin asserted: \"Victoria is a knight or Mason is a knave\". Victoria noted, \"Mason is a knight or Mason is a knave\". So who is a knight and who is a knave?", "names": ["Harper", "Mason", "Ethan", "Benjamin", "Victoria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true, true], "solution_text": "Harper is a knave, Mason is a knave, Ethan is a knight, Benjamin is a knight, and Victoria is a knight.", "solution_text_format": "(1) Harper is a knave\n(2) Mason is a knave\n(3) Ethan is a knight\n(4) Benjamin 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 Harper is a knight. No contradiction is found in their claim that Benjamin is a knave.", "Benjamin cannot be a knight, because this would contradict the claim of Harper that Benjamin is a knave.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Victoria is a knight or Mason is a knave.", "Victoria cannot be a knight, because this would contradict the false claim of Benjamin that Victoria is a knight or Mason is a knave.", "Victoria cannot be a knave, because this would contradict the false claim of their own that Mason is a knight or Mason is a knave.", "We have exhausted all possibilities for Victoria and Benjamin, so let us go back and reconsider Harper.", "Assume Harper is a knave. No contradiction is found in their false claim that Benjamin is a knave.", "Assume Benjamin is a knight. No contradiction is found in their claim that Victoria is a knight or Mason is a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that Mason is a knight or Mason is a knave.", "Mason cannot be a knight, because this would contradict the claim of their own that Ethan is a knave and Victoria is a knave.", "Assume Mason is a knave. No contradiction is found in their false claim that Ethan is a knave and Victoria is a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that Victoria is a knight or Harper is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 3), ('and', ('lying', 2), ('lying', 4)), ('or', ('telling-truth', 4), ('telling-truth', 0)), ('or', ('telling-truth', 4), ('lying', 1)), ('or', ('telling-truth', 1), ('lying', 1)))", "index": 1068}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Isabella, Charlotte, Michael, James, and Elizabeth. Isabella stated, \"Elizabeth is a knight if and only if Charlotte is a knave\". Charlotte asserted: \"James is a knave\". \"Elizabeth is a knight and James is a knight,\" Michael declared. In a statement by James: \"Isabella is a knave and Charlotte is a knave\". Elizabeth said that Michael is a knave and Charlotte is a knave. So who is a knight and who is a knave?", "names": ["Isabella", "Charlotte", "Michael", "James", "Elizabeth"], "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": "Isabella is a knight, Charlotte is a knight, Michael is a knave, James is a knave, and Elizabeth is a knave.", "solution_text_format": "(1) Isabella is a knight\n(2) Charlotte is a knight\n(3) Michael is a knave\n(4) James is a knave\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 Isabella is a knight. No contradiction is found in their claim that Elizabeth is a knight if and only if Charlotte is a knave.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Michael is a knave and Charlotte is a knave.", "Michael cannot be a knight, because this would contradict the claim of Elizabeth that Michael is a knave and Charlotte is a knave.", "Assume Michael is a knave. No contradiction is found in their false claim that Elizabeth is a knight and James is a knight.", "James cannot be a knight, because this would contradict the false claim of Michael that Elizabeth is a knight and James is a knight.", "Assume James is a knave. No contradiction is found in their false claim that Isabella is a knave and Charlotte is a knave.", "Charlotte cannot be a knight, because this would contradict the claim of Isabella that Elizabeth is a knight if and only if Charlotte is a knave.", "Charlotte cannot be a knave, because this would contradict the false claim of their own that James is a knave.", "We have exhausted all possibilities for Charlotte, James, and Michael, so let us go back and reconsider Elizabeth.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Michael is a knave and Charlotte is a knave.", "Michael cannot be a knight, because this would contradict the claim of their own that Elizabeth is a knight and James is a knight.", "Assume Michael is a knave. No contradiction is found in their false claim that Elizabeth is a knight and James is a knight.", "James cannot be a knight, because this would contradict the claim of their own that Isabella is a knave and Charlotte is a knave.", "Assume James is a knave. No contradiction is found in their false claim that Isabella is a knave and Charlotte is a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that James is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 4), ('lying', 1)), ('lying', 3), ('and', ('telling-truth', 4), ('telling-truth', 3)), ('and', ('lying', 0), ('lying', 1)), ('and', ('lying', 2), ('lying', 1)))", "index": 1069}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Lily, Liam, Emma, Amelia, and Avery. According to Lily, \"Liam is not a knight\". Liam said that If Liam is a knight then Avery is a knave. Emma was heard saying, \"Avery is a knight\". Amelia expressed that Emma is a knight. In a statement by Avery: \"Lily is a knave if and only if Liam is a knave\". So who is a knight and who is a knave?", "names": ["Lily", "Liam", "Emma", "Amelia", "Avery"], "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": "Lily is a knave, Liam is a knight, Emma is a knave, Amelia is a knave, and Avery is a knave.", "solution_text_format": "(1) Lily is a knave\n(2) Liam is a knight\n(3) Emma is a knave\n(4) Amelia is a knave\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 Lily 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 Lily that Liam is not a knight.", "Liam cannot be a knave, because this would contradict the false claim of their own that If Liam is a knight then Avery is a knave.", "We have exhausted all possibilities for Liam, so let us go back and reconsider Lily.", "Assume Lily 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 If Liam is a knight then Avery is a knave.", "Avery cannot be a knight, because this would contradict the claim of Liam that If Liam is a knight then Avery is a knave.", "Assume Avery is a knave. No contradiction is found in their false claim that Lily is a knave if and only if Liam is a knave.", "Emma cannot be a knight, because this would contradict the claim of their own that Avery is a knight.", "Assume Emma is a knave. No contradiction is found in their false claim that Avery is a knight.", "Amelia cannot be a knight, because this would contradict the claim of their own that Emma is a knight.", "Assume Amelia is a knave. No contradiction is found in their false claim that Emma is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('->', ('telling-truth', 1), ('lying', 4)), ('telling-truth', 4), ('telling-truth', 2), ('<=>', ('lying', 0), ('lying', 1)))", "index": 1070}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Riley, Isabella, Victoria, Logan, and Mason. Riley stated, \"If Mason is a knave then Mason is a knight\". In Isabella's words: \"Victoria is a knave or Victoria is a knight\". In a statement by Victoria: \"If Riley is a knight then Mason is a knave\". Logan stated, \"Mason is a knave and Isabella is a knight\". Mason expressed that Victoria is a knight or Victoria is a knave. So who is a knight and who is a knave?", "names": ["Riley", "Isabella", "Victoria", "Logan", "Mason"], "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": "Riley is a knight, Isabella is a knight, Victoria is a knave, Logan is a knave, and Mason is a knight.", "solution_text_format": "(1) Riley is a knight\n(2) Isabella is a knight\n(3) Victoria is a knave\n(4) Logan is a knave\n(5) Mason is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Riley is a knight. No contradiction is found in their claim that If Mason is a knave then Mason is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that Victoria is a knight or Victoria is a knave.", "Victoria cannot be a knight, because this would contradict the claim of their own that If Riley is a knight then Mason is a knave.", "Assume Victoria is a knave. No contradiction is found in their false claim that If Riley is a knight then Mason is a knave.", "Assume Isabella is a knight. No contradiction is found in their claim that Victoria is a knave or Victoria is a knight.", "Logan cannot be a knight, because this would contradict the claim of their own that Mason is a knave and Isabella is a knight.", "Assume Logan is a knave. No contradiction is found in their false claim that Mason is a knave and Isabella is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 4), ('telling-truth', 4)), ('or', ('lying', 2), ('telling-truth', 2)), ('->', ('telling-truth', 0), ('lying', 4)), ('and', ('lying', 4), ('telling-truth', 1)), ('or', ('telling-truth', 2), ('lying', 2)))", "index": 1071}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: William, Luke, Sebastian, Lucas, and Sofia. \"Luke is a knave or Sofia is a knight,\" William mentioned. Luke stated, \"Sofia is a knight or Sebastian is a knight\". Sebastian remarked, \"If William is a knave then William is a knight\". \"Sofia is a knave\" - Lucas. In a statement by Sofia: \"If Sebastian is a knave then Sebastian is a knight\". So who is a knight and who is a knave?", "names": ["William", "Luke", "Sebastian", "Lucas", "Sofia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false, true], "solution_text": "William is a knight, Luke is a knight, Sebastian is a knight, Lucas is a knave, and Sofia is a knight.", "solution_text_format": "(1) William is a knight\n(2) Luke is a knight\n(3) Sebastian is a knight\n(4) Lucas 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 William is a knight. No contradiction is found in their claim that Luke is a knave or Sofia is a knight.", "Assume Luke is a knight. No contradiction is found in their claim that Sofia is a knight or Sebastian is a knight.", "Assume Sofia is a knight. No contradiction is found in their claim that If Sebastian is a knave then Sebastian is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that If William is a knave then William is a knight.", "Lucas cannot be a knight, because this would contradict the claim of their own that Sofia is a knave.", "Assume Lucas is a knave. No contradiction is found in their false claim that Sofia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('telling-truth', 4)), ('or', ('telling-truth', 4), ('telling-truth', 2)), ('->', ('lying', 0), ('telling-truth', 0)), ('lying', 4), ('->', ('lying', 2), ('telling-truth', 2)))", "index": 1072}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Chloe, Zoey, Henry, Jacob, and Lucas. Chloe noted, \"If Zoey is a knight then Chloe is a knight\". In Zoey's words: \"If Jacob is a knight then Henry is a knight\". Henry noted, \"Chloe is a knight if and only if Lucas is a knave\". Jacob said, \"If Jacob is a knight then Zoey is a knave.\" As Lucas put it, \"If Chloe is a knave then Zoey is a knave\". So who is a knight and who is a knave?", "names": ["Chloe", "Zoey", "Henry", "Jacob", "Lucas"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true, true], "solution_text": "Chloe is a knight, Zoey is a knave, Henry is a knave, Jacob is a knight, and Lucas is a knight.", "solution_text_format": "(1) Chloe is a knight\n(2) Zoey is a knave\n(3) Henry is a knave\n(4) Jacob is a knight\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 Chloe is a knight. No contradiction is found in their claim that If Zoey is a knight then Chloe is a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that If Jacob is a knight then Henry is a knight.", "Jacob cannot be a knight, because this would contradict the claim of their own that If Jacob is a knight then Zoey is a knave.", "Jacob cannot be a knave, because this would contradict the false claim of their own that If Jacob is a knight then Zoey is a knave.", "We have exhausted all possibilities for Jacob, so let us go back and reconsider Zoey.", "Assume Zoey is a knave. No contradiction is found in their false claim that If Jacob is a knight then Henry is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that If Jacob is a knight then Zoey is a knave.", "Henry cannot be a knight, because this would contradict the false claim of Zoey that If Jacob is a knight then Henry is a knight.", "Assume Henry is a knave. No contradiction is found in their false claim that Chloe is a knight if and only if Lucas is a knave.", "Assume Lucas is a knight. No contradiction is found in their claim that If Chloe is a knave then Zoey is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 1), ('telling-truth', 0)), ('->', ('telling-truth', 3), ('telling-truth', 2)), ('<=>', ('telling-truth', 0), ('lying', 4)), ('->', ('telling-truth', 3), ('lying', 1)), ('->', ('lying', 0), ('lying', 1)))", "index": 1073}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Riley, Aria, Harper, Grace, and Matthew. Riley told you that Matthew is a knight. Aria expressed that If Aria is a knight then Riley is a knave. Harper remarked, \"Grace is not a knave\". As Grace put it, \"Aria is a knave or Matthew is a knave\". As Matthew put it, \"Harper is a knave and Riley is a knight\". So who is a knight and who is a knave?", "names": ["Riley", "Aria", "Harper", "Grace", "Matthew"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true, false], "solution_text": "Riley is a knave, Aria is a knight, Harper is a knight, Grace is a knight, and Matthew is a knave.", "solution_text_format": "(1) Riley is a knave\n(2) Aria is a knight\n(3) Harper is a knight\n(4) Grace is a knight\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 Riley 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 Harper is a knave and Riley is a knight.", "Harper cannot be a knight, because this would contradict the claim of Matthew that Harper is a knave and Riley is a knight.", "Assume Harper is a knave. No contradiction is found in their false claim that Grace is not a knave.", "Grace cannot be a knight, because this would contradict the false claim of Harper that Grace is not a knave.", "Assume Grace is a knave. No contradiction is found in their false claim that Aria is a knave or Matthew is a knave.", "Aria cannot be a knight, because this would contradict the claim of their own that If Aria is a knight then Riley is a knave.", "Aria cannot be a knave, because this would contradict the false claim of their own that If Aria is a knight then Riley is a knave.", "We have exhausted all possibilities for Aria, Grace, and Harper, so let us go back and reconsider Matthew.", "Matthew cannot be a knave, because this would contradict the claim of Riley that Matthew is a knight.", "We have exhausted all possibilities for Matthew, so let us go back and reconsider Riley.", "Assume Riley is a knave. No contradiction is found in their false claim that Matthew is a knight.", "Matthew cannot be a knight, because this would contradict the false claim of Riley that Matthew is a knight.", "Assume Matthew is a knave. No contradiction is found in their false claim that Harper is a knave and Riley is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that Grace is not a knave.", "Assume Grace is a knight. No contradiction is found in their claim that Aria is a knave or Matthew is a knave.", "Assume Aria is a knight. No contradiction is found in their claim that If Aria is a knight then Riley is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 4), ('->', ('telling-truth', 1), ('lying', 0)), ('not', ('lying', 3)), ('or', ('lying', 1), ('lying', 4)), ('and', ('lying', 2), ('telling-truth', 0)))", "index": 1074}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: William, Grace, Charlotte, Owen, and Daniel. William commented, \"Charlotte is a knight\". Grace said that If Owen is a knight then Daniel is a knight. Charlotte was heard saying, \"If Charlotte is a knight then Daniel is a knight\". Owen remarked, \"Daniel is not a knight\". Daniel told you that Charlotte is a knave if and only if Owen is a knight. So who is a knight and who is a knave?", "names": ["William", "Grace", "Charlotte", "Owen", "Daniel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false, true], "solution_text": "William is a knight, Grace is a knight, Charlotte is a knight, Owen is a knave, and Daniel is a knight.", "solution_text_format": "(1) William is a knight\n(2) Grace is a knight\n(3) Charlotte is a knight\n(4) Owen is a knave\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 William is a knight. No contradiction is found in their claim that Charlotte is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that If Charlotte is a knight then Daniel is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that Charlotte 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 Daniel is not a knight.", "Assume Owen is a knave. No contradiction is found in their false claim that Daniel is not a knight.", "Assume Grace is a knight. No contradiction is found in their claim that If Owen is a knight then Daniel is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 2), ('->', ('telling-truth', 3), ('telling-truth', 4)), ('->', ('telling-truth', 2), ('telling-truth', 4)), ('not', ('telling-truth', 4)), ('<=>', ('lying', 2), ('telling-truth', 3)))", "index": 1075}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aria, Victoria, Matthew, Lucas, and Olivia. Aria told you that Olivia is a knave if and only if Victoria is a knight. Victoria commented, \"Matthew is not a knight\". Matthew asserted: \"Lucas is a knight or Aria is a knave\". Lucas commented, \"Victoria is a knight and Aria is a knave\". Olivia remarked, \"Olivia is a knight or Aria is a knave\". So who is a knight and who is a knave?", "names": ["Aria", "Victoria", "Matthew", "Lucas", "Olivia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false, false], "solution_text": "Aria is a knight, Victoria is a knight, Matthew is a knave, Lucas is a knave, and Olivia is a knave.", "solution_text_format": "(1) Aria is a knight\n(2) Victoria is a knight\n(3) Matthew is a knave\n(4) Lucas is a knave\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 Aria is a knight. No contradiction is found in their claim that Olivia is a knave if and only if Victoria is a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that Olivia is a knight or Aria is a knave.", "Victoria cannot be a knight, because this would contradict the claim of Aria that Olivia is a knave if and only if Victoria is a knight.", "Assume Victoria is a knave. No contradiction is found in their false claim that Matthew is not a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that Lucas is a knight or Aria is a knave.", "Lucas cannot be a knight, because this would contradict the claim of their own that Victoria is a knight and Aria is a knave.", "Lucas cannot be a knave, because this would contradict the claim of Matthew that Lucas is a knight or Aria is a knave.", "We have exhausted all possibilities for Lucas, so let us go back and reconsider Matthew.", "Matthew cannot be a knave, because this would contradict the false claim of Victoria that Matthew is not a knight.", "We have exhausted all possibilities for Matthew and Victoria, 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 Aria is a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that Matthew is not a knight.", "Matthew cannot be a knight, because this would contradict the claim of Victoria that Matthew is not a knight.", "Assume Matthew is a knave. No contradiction is found in their false claim that Lucas is a knight or Aria is a knave.", "Lucas cannot be a knight, because this would contradict the false claim of Matthew that Lucas is a knight or Aria is a knave.", "Assume Lucas is a knave. No contradiction is found in their false claim that Victoria is a knight and Aria is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 4), ('telling-truth', 1)), ('not', ('telling-truth', 2)), ('or', ('telling-truth', 3), ('lying', 0)), ('and', ('telling-truth', 1), ('lying', 0)), ('or', ('telling-truth', 4), ('lying', 0)))", "index": 1076}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Evelyn, Liam, Isabella, Logan, and Abigail. Evelyn was heard saying, \"Isabella is a knight\". Liam asserted: \"Abigail is a knave if and only if Abigail is a knight\". In a statement by Isabella: \"Abigail is a knave and Logan is a knave\". Logan remarked, \"If Evelyn is a knight then Isabella is a knight\". In a statement by Abigail: \"Evelyn is not a knave\". So who is a knight and who is a knave?", "names": ["Evelyn", "Liam", "Isabella", "Logan", "Abigail"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true, false], "solution_text": "Evelyn is a knave, Liam is a knave, Isabella is a knave, Logan is a knight, and Abigail is a knave.", "solution_text_format": "(1) Evelyn is a knave\n(2) Liam is a knave\n(3) Isabella is a knave\n(4) Logan 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 Evelyn is a knight. No contradiction is found in their claim that Isabella is a knight.", "Assume Isabella is a knight. No contradiction is found in their claim that Abigail is a knave and Logan is a knave.", "Abigail cannot be a knight, because this would contradict the claim of Isabella that Abigail is a knave and Logan is a knave.", "Abigail cannot be a knave, because this would contradict the false claim of their own that Evelyn is not a knave.", "We have exhausted all possibilities for Abigail, so let us go back and reconsider Isabella.", "Isabella cannot be a knave, because this would contradict the claim of Evelyn that Isabella is a knight.", "We have exhausted all possibilities for Isabella, so let us go back and reconsider Evelyn.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Isabella is a knight.", "Isabella cannot be a knight, because this would contradict the false claim of Evelyn that Isabella is a knight.", "Assume Isabella is a knave. No contradiction is found in their false claim that Abigail is a knave and Logan is a knave.", "Abigail cannot be a knight, because this would contradict the claim of their own that Evelyn is not a knave.", "Assume Abigail is a knave. No contradiction is found in their false claim that Evelyn is not a knave.", "Assume Logan is a knight. No contradiction is found in their claim that If Evelyn is a knight then Isabella is a knight.", "Liam cannot be a knight, because this would contradict the claim of their own that Abigail is a knave if and only if Abigail is a knight.", "Assume Liam is a knave. No contradiction is found in their false claim that Abigail is a knave if and only if Abigail is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 2), ('<=>', ('lying', 4), ('telling-truth', 4)), ('and', ('lying', 4), ('lying', 3)), ('->', ('telling-truth', 0), ('telling-truth', 2)), ('not', ('lying', 0)))", "index": 1077}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Ava, Joseph, Michael, Luke, and Daniel. Ava commented, \"Michael is not a knight\". Joseph commented, \"Ava is not a knave\". In Michael's words: \"If Luke is a knave then Ava is a knight\". As Luke put it, \"If Luke is a knight then Ava is a knave\". Daniel commented, \"Michael is a knight or Ava is a knight\". So who is a knight and who is a knave?", "names": ["Ava", "Joseph", "Michael", "Luke", "Daniel"], "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": "Ava is a knave, Joseph is a knave, Michael is a knight, Luke is a knight, and Daniel is a knight.", "solution_text_format": "(1) Ava is a knave\n(2) Joseph is a knave\n(3) Michael is a knight\n(4) Luke 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 Ava is a knight. No contradiction is found in their claim that Michael is not a knight.", "Michael cannot be a knight, because this would contradict the claim of Ava that Michael is not a knight.", "Michael cannot be a knave, because this would contradict the false claim of their own that If Luke is a knave then Ava is a knight.", "We have exhausted all possibilities for Michael, so let us go back and reconsider Ava.", "Assume Ava is a knave. No contradiction is found in their false claim that Michael is not a knight.", "Assume Michael is a knight. No contradiction is found in their claim that If Luke is a knave then Ava is a knight.", "Assume Luke is a knight. No contradiction is found in their claim that If Luke is a knight then Ava is a knave.", "Joseph cannot be a knight, because this would contradict the claim of their own that Ava is not a knave.", "Assume Joseph is a knave. No contradiction is found in their false claim that Ava is not a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that Michael is a knight or Ava is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 2)), ('not', ('lying', 0)), ('->', ('lying', 3), ('telling-truth', 0)), ('->', ('telling-truth', 3), ('lying', 0)), ('or', ('telling-truth', 2), ('telling-truth', 0)))", "index": 1078}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Noah, Elizabeth, Logan, Charlotte, and Harper. Noah told you that Logan is a knave and Logan is a knight. Elizabeth asserted: \"Logan is a knight or Harper is a knave\". In a statement by Logan: \"If Noah is a knight then Logan is a knight\". \"Elizabeth is a knave or Noah is a knight,\" Charlotte claimed. Harper noted, \"Charlotte is a knave and Noah is a knave\". So who is a knight and who is a knave?", "names": ["Noah", "Elizabeth", "Logan", "Charlotte", "Harper"], "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": "Noah is a knave, Elizabeth is a knight, Logan is a knight, Charlotte is a knave, and Harper is a knight.", "solution_text_format": "(1) Noah is a knave\n(2) Elizabeth is a knight\n(3) Logan is a knight\n(4) Charlotte is a knave\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": ["Noah cannot be a knight, because this would contradict the claim of their own that Logan is a knave and Logan is a knight.", "Assume Noah is a knave. No contradiction is found in their false claim that Logan is a knave and Logan is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that If Noah is a knight then Logan is a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Logan is a knight or Harper is a knave.", "Assume Harper is a knight. No contradiction is found in their claim that Charlotte is a knave and Noah is a knave.", "Charlotte cannot be a knight, because this would contradict the claim of their own that Elizabeth is a knave or Noah is a knight.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Elizabeth is a knave or Noah is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('telling-truth', 2)), ('or', ('telling-truth', 2), ('lying', 4)), ('->', ('telling-truth', 0), ('telling-truth', 2)), ('or', ('lying', 1), ('telling-truth', 0)), ('and', ('lying', 3), ('lying', 0)))", "index": 1079}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Benjamin, Mason, Jacob, Lily, and Penelope. In Benjamin's words: \"If Penelope is a knight then Penelope is a knave\". Mason said that Jacob is a knight if and only if Lily is a knight. \"Lily is a knave\" - Jacob. In Lily's words: \"If Mason is a knave then Penelope is a knight\". Penelope commented, \"Benjamin is a knight or Mason is a knave\". So who is a knight and who is a knave?", "names": ["Benjamin", "Mason", "Jacob", "Lily", "Penelope"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true, true], "solution_text": "Benjamin is a knave, Mason is a knave, Jacob is a knave, Lily is a knight, and Penelope is a knight.", "solution_text_format": "(1) Benjamin is a knave\n(2) Mason is a knave\n(3) Jacob is a knave\n(4) Lily is a knight\n(5) Penelope is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Benjamin is a knight. No contradiction is found in their claim that If Penelope is a knight then Penelope is a knave.", "Penelope cannot be a knight, because this would contradict the claim of Benjamin that If Penelope is a knight then Penelope is a knave.", "Penelope cannot be a knave, because this would contradict the false claim of their own that Benjamin is a knight or Mason is a knave.", "We have exhausted all possibilities for Penelope, so let us go back and reconsider Benjamin.", "Assume Benjamin is a knave. No contradiction is found in their false claim that If Penelope is a knight then Penelope is a knave.", "Assume Penelope is a knight. No contradiction is found in their claim that Benjamin is a knight or Mason is a knave.", "Mason cannot be a knight, because this would contradict the claim of Penelope that Benjamin is a knight or Mason is a knave.", "Assume Mason is a knave. No contradiction is found in their false claim that Jacob is a knight if and only if Lily is a knight.", "Assume Jacob 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 false claim of Mason that Jacob is a knight if and only if Lily is a knight.", "Lily cannot be a knave, because this would contradict the false claim of their own that If Mason is a knave then Penelope is a knight.", "We have exhausted all possibilities for Lily, so let us go back and reconsider Jacob.", "Assume Jacob is a knave. No contradiction is found in their false claim that Lily is a knave.", "Assume Lily is a knight. No contradiction is found in their claim that If Mason is a knave then Penelope is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 4), ('lying', 4)), ('<=>', ('telling-truth', 2), ('telling-truth', 3)), ('lying', 3), ('->', ('lying', 1), ('telling-truth', 4)), ('or', ('telling-truth', 0), ('lying', 1)))", "index": 1080}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Victoria, Owen, Sofia, Liam, and Joseph. \"Owen is a knave,\" Victoria mentioned. Owen stated, \"Liam is a knave and Joseph is a knave\". As Sofia put it, \"Joseph is a knave if and only if Liam is a knight\". \"If Liam is a knight then Victoria is a knight\" - Liam. Joseph was heard saying, \"Liam is a knave or Victoria is a knave\". So who is a knight and who is a knave?", "names": ["Victoria", "Owen", "Sofia", "Liam", "Joseph"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, false], "solution_text": "Victoria is a knight, Owen is a knave, Sofia is a knight, Liam is a knight, and Joseph is a knave.", "solution_text_format": "(1) Victoria is a knight\n(2) Owen is a knave\n(3) Sofia is a knight\n(4) Liam 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 Victoria is a knight. No contradiction is found in their claim that Owen is a knave.", "Owen cannot be a knight, because this would contradict the claim of Victoria that Owen is a knave.", "Assume Owen is a knave. No contradiction is found in their false claim that Liam is a knave and Joseph is a knave.", "Assume Liam is a knight. No contradiction is found in their claim that If Liam is a knight then Victoria is a knight.", "Joseph cannot be a knight, because this would contradict the claim of their own that Liam is a knave or Victoria is a knave.", "Assume Joseph is a knave. No contradiction is found in their false claim that Liam is a knave or Victoria is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that Joseph is a knave if and only if Liam is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('and', ('lying', 3), ('lying', 4)), ('<=>', ('lying', 4), ('telling-truth', 3)), ('->', ('telling-truth', 3), ('telling-truth', 0)), ('or', ('lying', 3), ('lying', 0)))", "index": 1081}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aria, Jacob, Sofia, Michael, and Victoria. Aria asserted: \"Sofia is a knave or Michael is a knave\". As Jacob put it, \"Victoria is a knight and Michael is a knave\". Sofia remarked, \"Aria is a knave and Michael is a knave\". Michael commented, \"Victoria is a knave and Michael is a knight\". Victoria told you that Aria is a knave if and only if Michael is a knave. So who is a knight and who is a knave?", "names": ["Aria", "Jacob", "Sofia", "Michael", "Victoria"], "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": "Aria is a knight, Jacob is a knave, Sofia is a knave, Michael is a knave, and Victoria is a knave.", "solution_text_format": "(1) Aria is a knight\n(2) Jacob is a knave\n(3) Sofia is a knave\n(4) Michael is a knave\n(5) Victoria is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aria is a knight. No contradiction is found in their claim that Sofia is a knave or Michael is a knave.", "Sofia cannot be a knight, because this would contradict the claim of their own that Aria is a knave and Michael is a knave.", "Assume Sofia is a knave. No contradiction is found in their false claim that Aria is a knave and Michael is a knave.", "Assume Michael is a knight. No contradiction is found in their claim that Victoria is a knave and Michael is a knight.", "Victoria cannot be a knight, because this would contradict the claim of Michael that Victoria is a knave and Michael is a knight.", "Victoria cannot be a knave, because this would contradict the false claim of their own that Aria is a knave if and only if Michael is a knave.", "We have exhausted all possibilities for Victoria, so let us go back and reconsider Michael.", "Assume Michael is a knave. No contradiction is found in their false claim that Victoria is a knave and Michael is a knight.", "Victoria cannot be a knight, because this would contradict the claim of their own that Aria is a knave if and only if Michael is a knave.", "Assume Victoria is a knave. No contradiction is found in their false claim that Aria is a knave if and only if Michael is a knave.", "Jacob cannot be a knight, because this would contradict the claim of their own that Victoria is a knight and Michael is a knave.", "Assume Jacob is a knave. No contradiction is found in their false claim that Victoria is a knight and Michael is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 2), ('lying', 3)), ('and', ('telling-truth', 4), ('lying', 3)), ('and', ('lying', 0), ('lying', 3)), ('and', ('lying', 4), ('telling-truth', 3)), ('<=>', ('lying', 0), ('lying', 3)))", "index": 1082}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Mia, Benjamin, Matthew, Jacob, and James. In Mia's words: \"James is a knave and Matthew is a knight\". In Benjamin's words: \"Matthew is a knave\". \"If Jacob is a knave then Benjamin is a knight\" - Matthew. In Jacob's words: \"Benjamin is a knave and James is a knight\". In James's words: \"Mia is a knight or Mia is a knave\". So who is a knight and who is a knave?", "names": ["Mia", "Benjamin", "Matthew", "Jacob", "James"], "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, Benjamin is a knave, Matthew is a knight, Jacob is a knight, and James is a knight.", "solution_text_format": "(1) Mia is a knave\n(2) Benjamin is a knave\n(3) Matthew is a knight\n(4) Jacob is a knight\n(5) James is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Mia is a knight. No contradiction is found in their claim that James is a knave and Matthew is a knight.", "James cannot be a knight, because this would contradict the claim of Mia that James is a knave and Matthew is a knight.", "James cannot be a knave, because this would contradict the false claim of their own that Mia is a knight or Mia is a knave.", "We have exhausted all possibilities for James, so let us go back and reconsider Mia.", "Assume Mia is a knave. No contradiction is found in their false claim that James is a knave and Matthew is a knight.", "Assume James is a knight. No contradiction is found in their claim that Mia is a knight or Mia is a knave.", "Assume Matthew is a knight. No contradiction is found in their claim that If Jacob is a knave then Benjamin is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that Benjamin is a knave and James is a knight.", "Benjamin cannot be a knight, because this would contradict the claim of their own that Matthew is a knave.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Matthew is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 4), ('telling-truth', 2)), ('lying', 2), ('->', ('lying', 3), ('telling-truth', 1)), ('and', ('lying', 1), ('telling-truth', 4)), ('or', ('telling-truth', 0), ('lying', 0)))", "index": 1083}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Scarlett, Elizabeth, Liam, Aiden, and Evelyn. Scarlett commented, \"Evelyn is a knave\". Elizabeth remarked, \"Liam is a knight\". Liam commented, \"Scarlett is a knave or Scarlett is a knight\". In Aiden's words: \"If Liam is a knave then Evelyn is a knave\". Evelyn asserted: \"Aiden is a knave and Elizabeth is a knight\". So who is a knight and who is a knave?", "names": ["Scarlett", "Elizabeth", "Liam", "Aiden", "Evelyn"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, false], "solution_text": "Scarlett is a knight, Elizabeth is a knight, Liam is a knight, Aiden is a knight, and Evelyn is a knave.", "solution_text_format": "(1) Scarlett is a knight\n(2) Elizabeth is a knight\n(3) Liam is a knight\n(4) Aiden is a knight\n(5) Evelyn is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Scarlett is a knight. No contradiction is found in their claim that Evelyn is a knave.", "Evelyn cannot be a knight, because this would contradict the claim of Scarlett that Evelyn is a knave.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Aiden is a knave and Elizabeth is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that If Liam is a knave then Evelyn is a knave.", "Assume Liam is a knight. No contradiction is found in their claim that Scarlett is a knave or Scarlett is a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Liam is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 4), ('telling-truth', 2), ('or', ('lying', 0), ('telling-truth', 0)), ('->', ('lying', 2), ('lying', 4)), ('and', ('lying', 3), ('telling-truth', 1)))", "index": 1084}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Owen, Ethan, Luke, Joseph, and Logan. In Owen's words: \"Ethan is a knave and Logan is a knave\". Ethan said, \"If Luke is a knave then Joseph is a knight.\" Luke commented, \"Joseph is not a knight\". Joseph was heard saying, \"Logan is a knight\". Logan remarked, \"Joseph is a knight and Owen is a knight\". So who is a knight and who is a knave?", "names": ["Owen", "Ethan", "Luke", "Joseph", "Logan"], "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": "Owen is a knave, Ethan is a knight, Luke is a knight, Joseph is a knave, and Logan is a knave.", "solution_text_format": "(1) Owen is a knave\n(2) Ethan is a knight\n(3) Luke is a knight\n(4) Joseph is a knave\n(5) Logan is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Owen is a knight. No contradiction is found in their claim that Ethan is a knave and Logan is a knave.", "Ethan cannot be a knight, because this would contradict the claim of Owen that Ethan is a knave and Logan is a knave.", "Assume Ethan is a knave. No contradiction is found in their false claim that If Luke is a knave then Joseph is a knight.", "Luke cannot be a knight, because this would contradict the false claim of Ethan that If Luke is a knave then Joseph is a knight.", "Assume Luke is a knave. No contradiction is found in their false claim that Joseph is not a knight.", "Joseph cannot be a knight, because this would contradict the false claim of Ethan that If Luke is a knave then Joseph is a knight.", "Joseph cannot be a knave, because this would contradict the false claim of Luke that Joseph is not a knight.", "We have exhausted all possibilities for Joseph, Luke, and Ethan, so let us go back and reconsider Owen.", "Assume Owen is a knave. No contradiction is found in their false claim that Ethan is a knave and Logan is a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that If Luke is a knave then Joseph is a knight.", "Assume Luke is a knight. No contradiction is found in their claim that Joseph is not a knight.", "Joseph cannot be a knight, because this would contradict the claim of Luke that Joseph is not a knight.", "Assume Joseph 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 Joseph that Logan is a knight.", "Assume Logan is a knave. No contradiction is found in their false claim that Joseph is a knight and Owen is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('lying', 4)), ('->', ('lying', 2), ('telling-truth', 3)), ('not', ('telling-truth', 3)), ('telling-truth', 4), ('and', ('telling-truth', 3), ('telling-truth', 0)))", "index": 1085}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Ella, Elizabeth, Emma, David, and Victoria. \"Elizabeth is a knave if and only if Ella is a knight,\" Ella claimed. In a statement by Elizabeth: \"Emma is a knave\". In a statement by Emma: \"Elizabeth is a knave and Ella is a knight\". In David's words: \"If Emma is a knight then Elizabeth is a knight\". In a statement by Victoria: \"Emma is not a knight\". So who is a knight and who is a knave?", "names": ["Ella", "Elizabeth", "Emma", "David", "Victoria"], "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": "Ella is a knight, Elizabeth is a knave, Emma is a knight, David is a knave, and Victoria is a knave.", "solution_text_format": "(1) Ella is a knight\n(2) Elizabeth is a knave\n(3) Emma is a knight\n(4) David is a knave\n(5) Victoria is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ella is a knight. No contradiction is found in their claim that Elizabeth is a knave if and only if Ella is a knight.", "Elizabeth cannot be a knight, because this would contradict the claim of Ella that Elizabeth is a knave if and only if Ella is a knight.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Emma is a knave.", "Assume Emma is a knight. No contradiction is found in their claim that Elizabeth is a knave and Ella is a knight.", "David cannot be a knight, because this would contradict the claim of their own that If Emma is a knight then Elizabeth is a knight.", "Assume David is a knave. No contradiction is found in their false claim that If Emma is a knight then Elizabeth is a knight.", "Victoria cannot be a knight, because this would contradict the claim of their own that Emma is not a knight.", "Assume Victoria is a knave. No contradiction is found in their false claim that Emma is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('telling-truth', 0)), ('lying', 2), ('and', ('lying', 1), ('telling-truth', 0)), ('->', ('telling-truth', 2), ('telling-truth', 1)), ('not', ('telling-truth', 2)))", "index": 1086}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Logan, Elizabeth, Emma, Grace, and Lucas. Logan noted, \"Elizabeth is a knight or Elizabeth is a knave\". As Elizabeth put it, \"Grace is a knave or Emma is a knight\". Emma said that If Lucas is a knave then Elizabeth is a knight. Grace noted, \"Emma is not a knave\". Lucas told you that If Elizabeth is a knight then Emma is a knight. So who is a knight and who is a knave?", "names": ["Logan", "Elizabeth", "Emma", "Grace", "Lucas"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, true], "solution_text": "Logan is a knight, Elizabeth is a knight, Emma is a knight, Grace is a knight, and Lucas is a knight.", "solution_text_format": "(1) Logan is a knight\n(2) Elizabeth is a knight\n(3) Emma is a knight\n(4) Grace is a knight\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 Logan is a knight. No contradiction is found in their claim that Elizabeth is a knight or Elizabeth is a knave.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Grace is a knave or Emma is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that Emma is not a knave.", "Assume Emma is a knight. No contradiction is found in their claim that If Lucas is a knave then Elizabeth is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that If Elizabeth is a knight then Emma is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 1), ('lying', 1)), ('or', ('lying', 3), ('telling-truth', 2)), ('->', ('lying', 4), ('telling-truth', 1)), ('not', ('lying', 2)), ('->', ('telling-truth', 1), ('telling-truth', 2)))", "index": 1087}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Daniel, Harper, Aiden, Michael, and Henry. Daniel noted, \"If Michael is a knave then Henry is a knave\". Harper commented, \"Michael is a knave\". Aiden said, \"Henry is a knave.\" Michael told you that Harper is a knight if and only if Michael is a knight. In a statement by Henry: \"Harper is a knight\". So who is a knight and who is a knave?", "names": ["Daniel", "Harper", "Aiden", "Michael", "Henry"], "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": "Daniel is a knave, Harper is a knight, Aiden is a knave, Michael is a knave, and Henry is a knight.", "solution_text_format": "(1) Daniel is a knave\n(2) Harper is a knight\n(3) Aiden is a knave\n(4) Michael is a knave\n(5) Henry is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Daniel is a knight. No contradiction is found in their claim that If Michael is a knave then Henry is a knave.", "Assume Michael is a knight. No contradiction is found in their claim that Harper is a knight if and only if Michael is a knight.", "Harper cannot be a knight, because this would contradict the claim of their own that Michael is a knave.", "Harper cannot be a knave, because this would contradict the claim of Michael that Harper is a knight if and only if Michael is a knight.", "We have exhausted all possibilities for Harper, so let us go back and reconsider Michael.", "Assume Michael is a knave. No contradiction is found in their false claim that Harper is a knight if and only if Michael is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that Michael is a knave.", "Henry cannot be a knight, because this would contradict the claim of Daniel that If Michael is a knave then Henry is a knave.", "Henry cannot be a knave, because this would contradict the false claim of their own that Harper is a knight.", "We have exhausted all possibilities for Henry, so let us go back and reconsider Harper.", "Harper cannot be a knave, because this would contradict the false claim of their own that Michael is a knave.", "We have exhausted all possibilities for Harper and Michael, so let us go back and reconsider Daniel.", "Assume Daniel is a knave. No contradiction is found in their false claim that If Michael is a knave then Henry is a knave.", "Michael cannot be a knight, because this would contradict the false claim of Daniel that If Michael is a knave then Henry is a knave.", "Assume Michael is a knave. No contradiction is found in their false claim that Harper is a knight if and only if Michael is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that Michael is a knave.", "Assume Henry is a knight. No contradiction is found in their claim that Harper is a knight.", "Aiden cannot be a knight, because this would contradict the claim of their own that Henry is a knave.", "Assume Aiden is a knave. No contradiction is found in their false claim that Henry is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 3), ('lying', 4)), ('lying', 3), ('lying', 4), ('<=>', ('telling-truth', 1), ('telling-truth', 3)), ('telling-truth', 1))", "index": 1088}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Lily, Matthew, Mia, Olivia, and Amelia. As Lily put it, \"Olivia is a knave or Matthew is a knight\". Matthew said, \"Mia is a knight if and only if Lily is a knave.\" Mia noted, \"Olivia is a knave and Lily is a knave\". \"If Matthew is a knave then Amelia is a knave,\" Olivia declared. \"If Lily is a knight then Matthew is a knight\" - Amelia. So who is a knight and who is a knave?", "names": ["Lily", "Matthew", "Mia", "Olivia", "Amelia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true, true], "solution_text": "Lily is a knight, Matthew is a knight, Mia is a knave, Olivia is a knight, and Amelia is a knight.", "solution_text_format": "(1) Lily is a knight\n(2) Matthew is a knight\n(3) Mia is a knave\n(4) Olivia is a knight\n(5) Amelia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Lily is a knight. No contradiction is found in their claim that Olivia is a knave or Matthew is a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that If Matthew is a knave then Amelia is a knave.", "Assume Matthew is a knight. No contradiction is found in their claim that Mia is a knight if and only if Lily is a knave.", "Mia cannot be a knight, because this would contradict the claim of Matthew that Mia is a knight if and only if Lily is a knave.", "Assume Mia is a knave. No contradiction is found in their false claim that Olivia is a knave and Lily is a knave.", "Assume Amelia is a knight. No contradiction is found in their claim that If Lily is a knight then Matthew is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 3), ('telling-truth', 1)), ('<=>', ('telling-truth', 2), ('lying', 0)), ('and', ('lying', 3), ('lying', 0)), ('->', ('lying', 1), ('lying', 4)), ('->', ('telling-truth', 0), ('telling-truth', 1)))", "index": 1089}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Penelope, Joseph, Abigail, Noah, and Ethan. Penelope said that Ethan is a knave and Noah is a knave. According to Joseph, \"Ethan is a knight and Abigail is a knight\". \"Joseph is a knight and Noah is a knave,\" Abigail mentioned. Noah said, \"Penelope is a knave or Joseph is a knight.\" \"Noah is not a knight,\" Ethan declared. So who is a knight and who is a knave?", "names": ["Penelope", "Joseph", "Abigail", "Noah", "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": "Penelope is a knave, Joseph is a knave, Abigail is a knave, Noah is a knight, and Ethan is a knave.", "solution_text_format": "(1) Penelope is a knave\n(2) Joseph is a knave\n(3) Abigail is a knave\n(4) Noah 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 Penelope is a knight. No contradiction is found in their claim that Ethan is a knave and Noah is a knave.", "Ethan cannot be a knight, because this would contradict the claim of Penelope that Ethan is a knave and Noah is a knave.", "Assume Ethan is a knave. No contradiction is found in their false claim that Noah is not a knight.", "Noah cannot be a knight, because this would contradict the claim of Penelope that Ethan is a knave and Noah is a knave.", "Noah cannot be a knave, because this would contradict the false claim of Ethan that Noah is not a knight.", "We have exhausted all possibilities for Noah and Ethan, so let us go back and reconsider Penelope.", "Assume Penelope is a knave. No contradiction is found in their false claim that Ethan is a knave and Noah is a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that Noah is not a knight.", "Noah cannot be a knight, because this would contradict the claim of Ethan that Noah is not a knight.", "Noah cannot be a knave, because this would contradict the false claim of their own that Penelope is a knave or Joseph is a knight.", "We have exhausted all possibilities for Noah, so let us go back and reconsider Ethan.", "Assume Ethan is a knave. No contradiction is found in their false claim that Noah is not a knight.", "Assume Noah is a knight. No contradiction is found in their claim that Penelope is a knave or Joseph is a knight.", "Joseph cannot be a knight, because this would contradict the claim of their own that Ethan is a knight and Abigail is a knight.", "Assume Joseph is a knave. No contradiction is found in their false claim that Ethan is a knight and Abigail is a knight.", "Abigail cannot be a knight, because this would contradict the claim of their own that Joseph is a knight and Noah is a knave.", "Assume Abigail is a knave. No contradiction is found in their false claim that Joseph is a knight and Noah is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 4), ('lying', 3)), ('and', ('telling-truth', 4), ('telling-truth', 2)), ('and', ('telling-truth', 1), ('lying', 3)), ('or', ('lying', 0), ('telling-truth', 1)), ('not', ('telling-truth', 3)))", "index": 1090}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Riley, Aria, Lily, Mason, and Michael. As Riley put it, \"Lily is a knight or Mason is a knave\". Aria expressed that Lily is a knave if and only if Mason is a knight. \"Lily is a knight or Aria is a knight,\" Lily claimed. Mason noted, \"Lily is a knave or Michael is a knight\". Michael noted, \"Lily is a knave if and only if Lily is a knight\". So who is a knight and who is a knave?", "names": ["Riley", "Aria", "Lily", "Mason", "Michael"], "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": "Riley is a knight, Aria is a knight, Lily is a knight, Mason is a knave, and Michael is a knave.", "solution_text_format": "(1) Riley is a knight\n(2) Aria is a knight\n(3) Lily is a knight\n(4) Mason is a knave\n(5) Michael is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Riley is a knight. No contradiction is found in their claim that Lily is a knight or Mason is a knave.", "Assume Lily is a knight. No contradiction is found in their claim that Lily is a knight or Aria is a knight.", "Assume Aria is a knight. No contradiction is found in their claim that Lily is a knave if and only if Mason is a knight.", "Mason cannot be a knight, because this would contradict the claim of Aria that Lily is a knave if and only if Mason is a knight.", "Assume Mason is a knave. No contradiction is found in their false claim that Lily is a knave or Michael is a knight.", "Michael cannot be a knight, because this would contradict the false claim of Mason that Lily is a knave or Michael is a knight.", "Assume Michael is a knave. No contradiction is found in their false claim that Lily is a knave if and only if Lily is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 2), ('lying', 3)), ('<=>', ('lying', 2), ('telling-truth', 3)), ('or', ('telling-truth', 2), ('telling-truth', 1)), ('or', ('lying', 2), ('telling-truth', 4)), ('<=>', ('lying', 2), ('telling-truth', 2)))", "index": 1091}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Samuel, Owen, Matthew, Aria, and Penelope. In Samuel's words: \"Matthew is a knave if and only if Penelope is a knave\". \"Penelope is not a knight,\" Owen declared. Matthew asserted: \"If Samuel is a knight then Penelope is a knave\". Aria asserted: \"Aria is a knight or Samuel is a knave\". \"Penelope is a knight or Matthew is a knave,\" Penelope claimed. So who is a knight and who is a knave?", "names": ["Samuel", "Owen", "Matthew", "Aria", "Penelope"], "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": "Samuel is a knave, Owen is a knight, Matthew is a knight, Aria is a knight, and Penelope is a knave.", "solution_text_format": "(1) Samuel is a knave\n(2) Owen is a knight\n(3) Matthew is a knight\n(4) Aria 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 Samuel is a knight. No contradiction is found in their claim that Matthew is a knave if and only if Penelope is a knave.", "Assume Matthew is a knight. No contradiction is found in their claim that If Samuel is a knight then Penelope is a knave.", "Penelope cannot be a knight, because this would contradict the claim of Matthew that If Samuel is a knight then Penelope is a knave.", "Penelope cannot be a knave, because this would contradict the claim of Samuel that Matthew is a knave if and only if Penelope is a knave.", "We have exhausted all possibilities for Penelope, so let us go back and reconsider Matthew.", "Assume Matthew is a knave. No contradiction is found in their false claim that If Samuel is a knight then Penelope is a knave.", "Penelope cannot be a knight, because this would contradict the claim of Samuel that Matthew is a knave if and only if Penelope is a knave.", "Penelope cannot be a knave, because this would contradict the false claim of Matthew that If Samuel is a knight then Penelope is a knave.", "We have exhausted all possibilities for Penelope and Matthew, so let us go back and reconsider Samuel.", "Assume Samuel is a knave. No contradiction is found in their false claim that Matthew is a knave if and only if Penelope is a knave.", "Assume Matthew is a knight. No contradiction is found in their claim that If Samuel is a knight then Penelope is a knave.", "Penelope cannot be a knight, because this would contradict the false claim of Samuel that Matthew is a knave if and only if Penelope is a knave.", "Assume Penelope is a knave. No contradiction is found in their false claim that Penelope is a knight or Matthew is a knave.", "Assume Owen is a knight. No contradiction is found in their claim that Penelope is not a knight.", "Assume Aria is a knight. No contradiction is found in their claim that Aria is a knight or Samuel is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 2), ('lying', 4)), ('not', ('telling-truth', 4)), ('->', ('telling-truth', 0), ('lying', 4)), ('or', ('telling-truth', 3), ('lying', 0)), ('or', ('telling-truth', 4), ('lying', 2)))", "index": 1092}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Zoey, Lily, Aiden, Mason, and Jack. In Zoey's words: \"Mason is a knave if and only if Mason is a knight\". Lily noted, \"Zoey is a knight if and only if Mason is a knave\". Aiden expressed that If Mason is a knave then Zoey is a knight. Mason told you that Zoey is a knight and Jack is a knight. Jack said, \"Zoey is not a knave.\" So who is a knight and who is a knave?", "names": ["Zoey", "Lily", "Aiden", "Mason", "Jack"], "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": "Zoey is a knave, Lily is a knave, Aiden is a knave, Mason is a knave, and Jack is a knave.", "solution_text_format": "(1) Zoey is a knave\n(2) Lily is a knave\n(3) Aiden is a knave\n(4) Mason 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": ["Zoey cannot be a knight, because this would contradict the claim of their own that Mason is a knave if and only if Mason is a knight.", "Assume Zoey is a knave. No contradiction is found in their false claim that Mason is a knave if and only if Mason is a knight.", "Mason cannot be a knight, because this would contradict the claim of their own that Zoey is a knight and Jack is a knight.", "Assume Mason is a knave. No contradiction is found in their false claim that Zoey is a knight and Jack is a knight.", "Jack cannot be a knight, because this would contradict the claim of their own that Zoey is not a knave.", "Assume Jack is a knave. No contradiction is found in their false claim that Zoey is not a knave.", "Lily cannot be a knight, because this would contradict the claim of their own that Zoey is a knight if and only if Mason is a knave.", "Assume Lily is a knave. No contradiction is found in their false claim that Zoey is a knight if and only if Mason is a knave.", "Aiden cannot be a knight, because this would contradict the claim of their own that If Mason is a knave then Zoey is a knight.", "Assume Aiden is a knave. No contradiction is found in their false claim that If Mason is a knave then Zoey is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 3), ('telling-truth', 3)), ('<=>', ('telling-truth', 0), ('lying', 3)), ('->', ('lying', 3), ('telling-truth', 0)), ('and', ('telling-truth', 0), ('telling-truth', 4)), ('not', ('lying', 0)))", "index": 1093}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Luke, William, Ava, Aurora, and Penelope. \"If Penelope is a knave then Luke is a knight,\" Luke mentioned. William stated, \"Ava is a knave if and only if Luke is a knight\". Ava said, \"William is not a knave.\" Aurora was heard saying, \"Ava is a knave\". Penelope noted, \"Luke is a knave if and only if Aurora is a knave\". So who is a knight and who is a knave?", "names": ["Luke", "William", "Ava", "Aurora", "Penelope"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true, false], "solution_text": "Luke is a knave, William is a knave, Ava is a knave, Aurora is a knight, and Penelope is a knave.", "solution_text_format": "(1) Luke is a knave\n(2) William is a knave\n(3) Ava is a knave\n(4) Aurora 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 Luke is a knight. No contradiction is found in their claim that If Penelope is a knave then Luke is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that Luke is a knave if and only if Aurora is a knave.", "Assume Aurora is a knight. No contradiction is found in their claim that Ava is a knave.", "Ava cannot be a knight, because this would contradict the claim of Aurora that Ava is a knave.", "Assume Ava is a knave. No contradiction is found in their false claim that William is not a knave.", "William cannot be a knight, because this would contradict the false claim of Ava that William is not a knave.", "William cannot be a knave, because this would contradict the false claim of their own that Ava is a knave if and only if Luke is a knight.", "We have exhausted all possibilities for William and Ava, so let us go back and reconsider Aurora.", "Aurora cannot be a knave, because this would contradict the claim of Penelope that Luke is a knave if and only if Aurora is a knave.", "We have exhausted all possibilities for Aurora, so let us go back and reconsider Penelope.", "Assume Penelope is a knave. No contradiction is found in their false claim that Luke is a knave if and only if Aurora is a knave.", "Aurora cannot be a knight, because this would contradict the false claim of Penelope that Luke is a knave if and only if Aurora is a knave.", "Assume Aurora is a knave. No contradiction is found in their false claim that Ava is a knave.", "Assume Ava is a knight. No contradiction is found in their claim that William is not a knave.", "William cannot be a knight, because this would contradict the claim of their own that Ava is a knave if and only if Luke is a knight.", "William cannot be a knave, because this would contradict the claim of Ava that William is not a knave.", "We have exhausted all possibilities for William, so let us go back and reconsider Ava.", "Ava cannot be a knave, because this would contradict the false claim of Aurora that Ava is a knave.", "We have exhausted all possibilities for Ava, Aurora, and Penelope, so let us go back and reconsider Luke.", "Assume Luke is a knave. No contradiction is found in their false claim that If Penelope is a knave then Luke is a knight.", "Penelope cannot be a knight, because this would contradict the false claim of Luke that If Penelope is a knave then Luke is a knight.", "Assume Penelope is a knave. No contradiction is found in their false claim that Luke is a knave if and only if Aurora is a knave.", "Assume Aurora is a knight. No contradiction is found in their claim that Ava is a knave.", "Ava cannot be a knight, because this would contradict the claim of Aurora that Ava is a knave.", "Assume Ava is a knave. No contradiction is found in their false claim that William is not a knave.", "William cannot be a knight, because this would contradict the claim of their own that Ava is a knave if and only if Luke is a knight.", "Assume William is a knave. No contradiction is found in their false claim that Ava is a knave if and only if Luke is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 4), ('telling-truth', 0)), ('<=>', ('lying', 2), ('telling-truth', 0)), ('not', ('lying', 1)), ('lying', 2), ('<=>', ('lying', 0), ('lying', 3)))", "index": 1094}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Harper, Jacob, Ethan, Lucas, and James. Harper asserted: \"Lucas is a knave\". \"James is not a knight,\" Jacob mentioned. \"Lucas is not a knight,\" Ethan mentioned. \"Lucas is a knight if and only if Harper is a knave,\" Lucas declared. According to James, \"Harper is a knave\". So who is a knight and who is a knave?", "names": ["Harper", "Jacob", "Ethan", "Lucas", "James"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true, true], "solution_text": "Harper is a knave, Jacob is a knave, Ethan is a knave, Lucas is a knight, and James is a knight.", "solution_text_format": "(1) Harper is a knave\n(2) Jacob is a knave\n(3) Ethan is a knave\n(4) Lucas is a knight\n(5) James is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Harper is a knight. No contradiction is found in their claim that Lucas is a knave.", "Lucas cannot be a knight, because this would contradict the claim of Harper that Lucas is a knave.", "Lucas cannot be a knave, because this would contradict the false claim of their own that Lucas is a knight if and only if Harper is a knave.", "We have exhausted all possibilities for Lucas, so let us go back and reconsider Harper.", "Assume Harper is a knave. No contradiction is found in their false claim that Lucas is a knave.", "Assume Lucas is a knight. No contradiction is found in their claim that Lucas is a knight if and only if Harper is a knave.", "Assume Jacob is a knight. No contradiction is found in their claim that James is not a knight.", "James cannot be a knight, because this would contradict the claim of Jacob that James is not a knight.", "James cannot be a knave, because this would contradict the false claim of their own that Harper is a knave.", "We have exhausted all possibilities for James, so let us go back and reconsider Jacob.", "Assume Jacob is a knave. No contradiction is found in their false claim that James is not a knight.", "Assume James is a knight. No contradiction is found in their claim that Harper is a knave.", "Ethan cannot be a knight, because this would contradict the claim of their own that Lucas is not a knight.", "Assume Ethan is a knave. No contradiction is found in their false claim that Lucas is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 3), ('not', ('telling-truth', 4)), ('not', ('telling-truth', 3)), ('<=>', ('telling-truth', 3), ('lying', 0)), ('lying', 0))", "index": 1095}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Avery, Daniel, Emma, Ella, and Chloe. Avery noted, \"Chloe is a knave or Emma is a knave\". Daniel asserted: \"Avery is not a knave\". As Emma put it, \"Ella is not a knave\". Ella commented, \"Avery is not a knave\". Chloe asserted: \"Avery is a knight if and only if Daniel is a knave\". So who is a knight and who is a knave?", "names": ["Avery", "Daniel", "Emma", "Ella", "Chloe"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true, false], "solution_text": "Avery is a knight, Daniel is a knight, Emma is a knight, Ella is a knight, and Chloe is a knave.", "solution_text_format": "(1) Avery is a knight\n(2) Daniel is a knight\n(3) Emma is a knight\n(4) Ella is a knight\n(5) Chloe is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Avery is a knight. No contradiction is found in their claim that Chloe is a knave or Emma is a knave.", "Assume Chloe is a knight. No contradiction is found in their claim that Avery 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 Avery is a knight if and only if Daniel is a knave.", "Daniel cannot be a knave, because this would contradict the false claim of their own that Avery is not a knave.", "We have exhausted all possibilities for Daniel, so let us go back and reconsider Chloe.", "Assume Chloe is a knave. No contradiction is found in their false claim that Avery is a knight if and only if Daniel is a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that Avery is not a knave.", "Assume Emma 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 Avery is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 4), ('lying', 2)), ('not', ('lying', 0)), ('not', ('lying', 3)), ('not', ('lying', 0)), ('<=>', ('telling-truth', 0), ('lying', 1)))", "index": 1096}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Elizabeth, Alexander, Jack, Aria, and Owen. In Elizabeth's words: \"If Aria is a knave then Elizabeth is a knight\". \"Aria is a knave and Elizabeth is a knave,\" Alexander claimed. Jack was heard saying, \"Alexander is a knave or Owen is a knave\". Aria noted, \"Jack is a knight and Elizabeth is a knave\". In Owen's words: \"Aria is a knight and Elizabeth is a knave\". So who is a knight and who is a knave?", "names": ["Elizabeth", "Alexander", "Jack", "Aria", "Owen"], "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": "Elizabeth is a knight, Alexander is a knave, Jack is a knight, Aria is a knave, and Owen is a knave.", "solution_text_format": "(1) Elizabeth is a knight\n(2) Alexander is a knave\n(3) Jack is a knight\n(4) Aria 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 Elizabeth is a knight. No contradiction is found in their claim that If Aria is a knave then Elizabeth is a knight.", "Aria cannot be a knight, because this would contradict the claim of their own that Jack is a knight and Elizabeth is a knave.", "Assume Aria is a knave. No contradiction is found in their false claim that Jack is a knight and Elizabeth is a knave.", "Assume Jack is a knight. No contradiction is found in their claim that Alexander is a knave or Owen is a knave.", "Alexander cannot be a knight, because this would contradict the claim of their own that Aria is a knave and Elizabeth is a knave.", "Assume Alexander is a knave. No contradiction is found in their false claim that Aria is a knave and Elizabeth is a knave.", "Owen cannot be a knight, because this would contradict the claim of their own that Aria is a knight and Elizabeth is a knave.", "Assume Owen is a knave. No contradiction is found in their false claim that Aria is a knight and Elizabeth is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 3), ('telling-truth', 0)), ('and', ('lying', 3), ('lying', 0)), ('or', ('lying', 1), ('lying', 4)), ('and', ('telling-truth', 2), ('lying', 0)), ('and', ('telling-truth', 3), ('lying', 0)))", "index": 1097}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Mia, Amelia, Scarlett, Mason, and Joseph. Mia was heard saying, \"Scarlett is a knave\". \"Joseph is a knave and Mason is a knave\" - Amelia. According to Scarlett, \"Mason is not a knave\". Mason commented, \"Mia is a knight and Mason is a knight\". Joseph said that If Amelia is a knave then Mia is a knight. So who is a knight and who is a knave?", "names": ["Mia", "Amelia", "Scarlett", "Mason", "Joseph"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false, true], "solution_text": "Mia is a knight, Amelia is a knave, Scarlett is a knave, Mason is a knave, and Joseph is a knight.", "solution_text_format": "(1) Mia is a knight\n(2) Amelia is a knave\n(3) Scarlett is a knave\n(4) Mason is a knave\n(5) Joseph is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Mia is a knight. No contradiction is found in their claim that Scarlett is a knave.", "Scarlett cannot be a knight, because this would contradict the claim of Mia that Scarlett is a knave.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Mason is not a knave.", "Mason cannot be a knight, because this would contradict the false claim of Scarlett that Mason is not a knave.", "Assume Mason is a knave. No contradiction is found in their false claim that Mia is a knight and Mason is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that Joseph is a knave and Mason is a knave.", "Joseph cannot be a knight, because this would contradict the claim of Amelia that Joseph is a knave and Mason is a knave.", "Joseph cannot be a knave, because this would contradict the false claim of their own that If Amelia is a knave then Mia is a knight.", "We have exhausted all possibilities for Joseph, so let us go back and reconsider Amelia.", "Assume Amelia is a knave. No contradiction is found in their false claim that Joseph is a knave and Mason is a knave.", "Assume Joseph is a knight. No contradiction is found in their claim that If Amelia is a knave then Mia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 2), ('and', ('lying', 4), ('lying', 3)), ('not', ('lying', 3)), ('and', ('telling-truth', 0), ('telling-truth', 3)), ('->', ('lying', 1), ('telling-truth', 0)))", "index": 1098}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: David, Luke, Aurora, Jacob, and Henry. David commented, \"Jacob is not a knave\". Luke said that Luke is a knight and David is a knave. Aurora was heard saying, \"Jacob is a knight if and only if David is a knight\". \"Henry is a knave,\" Jacob mentioned. Henry was heard saying, \"Jacob is a knight if and only if Jacob is a knave\". So who is a knight and who is a knave?", "names": ["David", "Luke", "Aurora", "Jacob", "Henry"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true, false], "solution_text": "David is a knight, Luke is a knave, Aurora is a knight, Jacob is a knight, and Henry is a knave.", "solution_text_format": "(1) David is a knight\n(2) Luke is a knave\n(3) Aurora is a knight\n(4) Jacob is a knight\n(5) Henry is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume David is a knight. No contradiction is found in their claim that Jacob is not a knave.", "Assume Jacob is a knight. No contradiction is found in their claim that Henry is a knave.", "Henry cannot be a knight, because this would contradict the claim of Jacob that Henry is a knave.", "Assume Henry is a knave. No contradiction is found in their false claim that Jacob is a knight if and only if Jacob is a knave.", "Luke cannot be a knight, because this would contradict the claim of their own that Luke is a knight and David is a knave.", "Assume Luke is a knave. No contradiction is found in their false claim that Luke is a knight and David is a knave.", "Assume Aurora is a knight. No contradiction is found in their claim that Jacob is a knight if and only if David is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 3)), ('and', ('telling-truth', 1), ('lying', 0)), ('<=>', ('telling-truth', 3), ('telling-truth', 0)), ('lying', 4), ('<=>', ('telling-truth', 3), ('lying', 3)))", "index": 1099}